Datasets:
skymizer
/
Llama3.1-base-tokenized-dolma-v1_7-50B

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
sequencelengths
2
4.1k
attention_mask
sequencelengths
2
4.1k
labels
sequencelengths
2
4.1k
position_ids
sequencelengths
2
4.1k
length
int64
2
4.1k
[ 128000, 644, 420, 9417, 11, 617, 499, 3596, 1027, 264, 961, 315, 264, 4029, 323, 433, 11321, 1093, 994, 499, 527, 4560, 311, 1505, 1274, 311, 4546, 499, 709, 323, 1862, 499, 11, 430, 433, 11321, 1093, 814, 2351, 23062, 499, 1523, 11, 430, 814, 2351, 304, 701, 1648, 430, 814, 2351, 539, 11190, 477, 9522, 4054, 315, 279, 2574, 430, 358, 3077, 2744, 10456, 922, 578, 1252, 50009, 17671, 11, 499, 7752, 11, 889, 527, 14624, 11, 1268, 8056, 499, 527, 13, 2684, 596, 279, 2144, 430, 1070, 596, 779, 1790, 51475, 389, 3674, 3772, 11, 323, 832, 315, 279, 2466, 2574, 430, 584, 2351, 3794, 5644, 311, 656, 374, 7195, 1057, 35164, 439, 1664, 439, 264, 7159, 3814, 24826, 430, 358, 2846, 2133, 311, 656, 369, 1949, 26, 358, 2846, 1633, 12304, 922, 430, 627, 4516, 358, 3358, 617, 810, 3649, 304, 264, 5743, 315, 2919, 11, 779, 1304, 2771, 422, 499, 2351, 539, 2768, 757, 389, 14318, 323, 499, 656, 571, 76, 60808, 359, 50009, 627, 2746, 499, 2351, 304, 264, 2294, 4029, 11, 39242, 1288, 2733, 1093, 51475, 26, 358, 1390, 499, 311, 9020, 810, 1606, 358, 1893, 11191, 2349, 304, 1274, 596, 6439, 779, 430, 584, 649, 13967, 3719, 13520, 627, 2746, 499, 1440, 18570, 889, 3966, 420, 9417, 3432, 11, 13551, 433, 449, 1124, 627, 12389, 499, 3596, 1027, 264, 961, 315, 264, 4029, 323, 433, 11321, 1093, 994, 499, 527, 4560, 311, 1505, 1274, 311, 4546, 499, 709, 323, 1862, 499, 11, 430, 433, 3604, 11321, 1093, 814, 2351, 23062, 499, 1523, 430, 814, 2351, 304, 701, 1648, 430, 814, 2351, 539, 3604, 11190, 477, 24629, 5380, 3923, 596, 709, 11, 1252, 50009, 17671, 13, 18231, 430, 499, 2351, 3815, 1664, 11, 856, 4885, 13, 2100, 358, 574, 520, 264, 10017, 420, 2046, 11, 279, 9636, 3773, 66809, 12267, 15354, 9702, 13, 1442, 499, 7752, 617, 15746, 58581, 47794, 449, 24668, 6938, 606, 11, 477, 499, 1253, 1440, 27851, 1306, 9636, 3773, 66809, 12267, 11, 24668, 6938, 606, 29091, 1139, 21834, 1252, 50009, 323, 439, 264, 2626, 8427, 11, 902, 374, 420, 2216, 8056, 3245, 430, 358, 636, 311, 2019, 323, 433, 574, 520, 420, 13, 2100, 13678, 9259, 889, 574, 264, 961, 315, 430, 574, 20256, 264, 10677, 3190, 369, 1274, 311, 539, 1193, 4048, 1063, 4920, 279, 16451, 719, 1101, 311, 636, 1063, 2626, 6873, 323, 3137, 922, 7982, 264, 2626, 323, 2574, 315, 430, 7138, 323, 1070, 574, 264, 2216, 7155, 3217, 358, 2751, 311, 387, 264, 961, 315, 420, 3347, 9178, 13, 1628, 832, 315, 279, 22032, 574, 3938, 18181, 8101, 889, 596, 2133, 311, 3719, 323, 358, 4344, 12304, 922, 31991, 622, 511, 92609, 13, 1628, 31991, 2231, 2555, 389, 6566, 358, 6267, 1523, 323, 779, 15716, 358, 733, 311, 38614, 11, 358, 1373, 264, 8941, 315, 8554, 1606, 358, 2846, 2744, 6975, 323, 358, 3309, 499, 1603, 422, 499, 2351, 10032, 311, 4048, 701, 2324, 690, 387, 2204, 323, 6267, 420, 1523, 13, 1442, 499, 2351, 304, 264, 2294, 4029, 11, 39242, 11, 433, 1288, 2733, 1093, 459, 51475, 627, 39787, 922, 430, 379, 65948, 1288, 2733, 1093, 51475, 627, 4054, 315, 279, 2574, 430, 358, 3077, 2744, 10456, 922, 578, 1252, 50009, 17671, 11, 499, 7752, 11, 889, 527, 14624, 11, 1268, 8056, 499, 527, 13, 2684, 596, 264, 2144, 430, 1070, 596, 779, 1790, 51475, 389, 3674, 3772, 11, 323, 832, 315, 279, 2466, 2574, 430, 584, 2351, 3794, 5644, 311, 656, 374, 7195, 1057, 35164, 439, 1664, 439, 264, 7159, 3814, 24826, 430, 358, 2846, 2133, 311, 656, 369, 1949, 11, 358, 2846, 1633, 12304, 922, 430, 13, 2100, 358, 3358, 617, 810, 3649, 304, 264, 5743, 315, 2919, 11, 779, 1304, 2771, 422, 499, 2351, 539, 2768, 757, 389, 14318, 323, 499, 656, 571, 26597, 359, 50009, 627, 3112, 779, 358, 574, 7422, 922, 420, 4623, 922, 4029, 323, 1268, 11, 499, 1440, 11, 358, 3077, 1027, 304, 10977, 1405, 433, 6612, 1093, 11, 1274, 1541, 956, 1390, 311, 1518, 499, 10205, 7982, 709, 11, 1405, 358, 14264, 709, 3411, 520, 856, 2324, 323, 7422, 922, 1148, 20587, 574, 1093, 11, 1148, 856, 7411, 1051, 1093, 13, 1472, 1440, 11, 279, 7976, 388, 1120, 1051, 539, 33445, 11, 1070, 574, 912, 51475, 1093, 358, 6227, 1694, 3995, 323, 387, 1093, 11, 893, 11, 358, 2846, 2133, 311, 733, 323, 1456, 311, 656, 420, 11, 358, 2846, 16926, 733, 1456, 311, 387, 420, 1732, 323, 733, 1456, 11, 1304, 433, 704, 315, 1618, 13, 256, 8595, 20753, 422, 19093, 596, 16926, 1518, 757, 11, 3249, 20753, 30, 1628, 358, 13383, 1093, 3868, 264, 2132, 11, 358, 1288, 387, 3815, 430, 6392, 369, 757, 627, 4599, 499, 1781, 922, 279, 4029, 430, 499, 2351, 264, 961, 315, 1314, 1457, 994, 499, 2231, 704, 701, 6848, 304, 701, 19226, 11, 499, 1440, 11, 527, 814, 26921, 311, 499, 477, 1521, 1274, 304, 701, 2324, 527, 814, 1274, 430, 1390, 311, 1935, 2512, 315, 499, 430, 1390, 311, 1518, 499, 387, 6992, 30, 256, 1472, 8063, 2288, 2466, 13, 1226, 1541, 956, 1093, 430, 3727, 603, 29213, 13, 28636, 701, 17078, 11, 4827, 701, 11811, 11, 4827, 701, 19226, 627, 1687, 1541, 956, 1390, 430, 2212, 11, 422, 430, 596, 279, 3169, 315, 4029, 430, 499, 2351, 304, 11, 499, 1205, 311, 2216, 1935, 264, 18579, 1618, 323, 1781, 922, 279, 5536, 315, 430, 389, 701, 2324, 1606, 358, 1541, 956, 1440, 922, 499, 719, 994, 420, 7077, 311, 757, 11, 358, 574, 1120, 2884, 11, 358, 574, 1093, 11, 499, 1440, 1148, 30, 220, 358, 1541, 956, 1390, 311, 733, 323, 387, 264, 26202, 11, 358, 1541, 956, 1390, 311, 387, 264, 2466, 10868, 11, 358, 1541, 956, 1390, 311, 1304, 2349, 304, 856, 4029, 11, 358, 1120, 2567, 11486, 11217, 11, 358, 1120, 2567, 15061, 279, 15316, 323, 39098, 9515, 11, 323, 539, 19560, 1579, 2978, 13, 358, 3358, 733, 1193, 8493, 3300, 389, 7182, 304, 856, 220, 508, 82, 323, 2646, 1935, 2512, 315, 1274, 11, 1193, 387, 264, 18118, 682, 279, 892, 1606, 1475, 892, 358, 1456, 311, 4430, 1063, 430, 1274, 6958, 757, 1523, 13, 1472, 527, 279, 2694, 2860, 315, 279, 1274, 430, 499, 8493, 701, 1455, 892, 449, 13, 220, 1628, 499, 1205, 311, 25670, 430, 1606, 11, 8101, 1148, 11, 499, 649, 1193, 2349, 1148, 499, 649, 6767, 11, 1314, 5380, 2675, 3077, 6755, 757, 2019, 430, 1603, 11, 323, 422, 499, 7784, 956, 30090, 279, 1274, 430, 499, 2351, 10374, 892, 449, 701, 2133, 311, 387, 304, 12544, 11, 1606, 358, 2846, 11890, 499, 1314, 1457, 11, 1148, 499, 2351, 304, 264, 5133, 449, 18570, 1314, 1457, 304, 701, 4885, 323, 701, 2626, 323, 701, 7076, 323, 701, 3070, 11, 1524, 1405, 814, 2351, 1120, 23062, 499, 1523, 1475, 892, 11, 499, 2351, 1093, 30596, 11, 358, 2751, 420, 4623, 11, 2751, 420, 3245, 11, 358, 2846, 21730, 11, 358, 2846, 10223, 11, 358, 4344, 7982, 323, 10671, 279, 2731, 2373, 315, 7182, 11, 358, 2846, 539, 20806, 30988, 387, 304, 856, 1648, 14926, 11, 358, 2846, 2133, 311, 15419, 627, 4438, 1690, 3115, 304, 701, 2324, 617, 499, 3309, 18570, 499, 2351, 2133, 311, 15419, 323, 814, 2351, 1093, 11, 499, 1541, 956, 1205, 15419, 11, 1148, 527, 499, 2133, 311, 656, 430, 369, 5380, 4438, 1690, 3115, 617, 499, 3309, 18570, 499, 2351, 7422, 922, 3794, 264, 7395, 30, 80326, 2822, 1648, 11, 433, 1120, 4536, 956, 16926, 3621, 627, 3112, 358, 6227, 18570, 32627, 520, 757, 264, 5743, 315, 1667, 4227, 13, 34863, 4762, 264, 2697, 2766, 5129, 994, 358, 574, 1093, 11, 499, 1440, 1148, 11, 8529, 426, 1570, 20732, 374, 2133, 311, 387, 856, 7395, 832, 1938, 11, 814, 32627, 323, 814, 1051, 1093, 11, 22371, 11, 1314, 11, 17339, 11, 358, 690, 2646, 10894, 420, 13, 256, 9393, 358, 2846, 539, 20806, 21739, 6958, 757, 1523, 11, 358, 11471, 499, 430, 13, 1628, 358, 2846, 2133, 311, 617, 8529, 426, 1570, 20732, 439, 856, 7395, 11, 358, 617, 1903, 264, 5597, 1148, 358, 2846, 2133, 311, 656, 11, 1148, 433, 5097, 311, 636, 1070, 627, 3112, 439, 1690, 315, 11, 499, 1440, 11, 358, 3077, 1047, 279, 33415, 315, 1694, 3025, 311, 4048, 315, 832, 315, 279, 12474, 20663, 389, 11841, 9420, 1314, 1457, 304, 856, 7395, 11, 8529, 426, 1570, 20732, 13, 1628, 499, 1440, 1148, 11, 1274, 1781, 430, 311, 994, 814, 2586, 1139, 24826, 449, 757, 11, 814, 2351, 1093, 11, 30596, 11, 358, 38023, 4048, 505, 420, 1732, 889, 596, 3549, 11, 420, 8056, 3245, 430, 649, 1520, 757, 1304, 856, 2324, 2731, 11, 719, 1070, 527, 1274, 304, 856, 2324, 19971, 369, 13, 13266, 1274, 304, 701, 2324, 889, 11913, 499, 369, 430, 11, 814, 690, 2646, 617, 2450, 1606, 814, 2351, 53731, 315, 1148, 433, 5992, 1093, 1606, 814, 1541, 956, 3619, 430, 304, 2015, 311, 617, 2450, 814, 3077, 2751, 311, 387, 10032, 311, 2231, 5694, 4994, 315, 872, 6981, 10353, 627, 3112, 994, 499, 636, 1139, 264, 4029, 11, 1405, 39242, 11321, 1093, 459, 51475, 11, 1405, 1274, 733, 11, 35309, 11, 893, 11, 499, 3287, 956, 656, 279, 3245, 499, 1071, 499, 1051, 2133, 311, 656, 1148, 596, 709, 449, 430, 30, 1628, 1243, 279, 1833, 5352, 374, 11, 1268, 656, 584, 1520, 499, 30, 3639, 656, 499, 1205, 30, 11208, 499, 520, 30, 3639, 596, 11102, 304, 279, 1887, 30, 3639, 6848, 649, 584, 4546, 311, 279, 2007, 430, 690, 2349, 701, 2324, 30, 2876, 11, 14346, 11, 499, 3287, 956, 636, 279, 3245, 2884, 499, 1071, 499, 1051, 2133, 311, 656, 323, 16470, 596, 1093, 1518, 584, 7020, 499, 15058, 956, 2133, 311, 656, 433, 11, 358, 1541, 956, 1524, 1440, 3249, 499, 1456, 13, 256, 8595, 1524, 1501, 709, 11, 430, 690, 2646, 2349, 701, 2324, 13, 1628, 1427, 304, 892, 11, 499, 690, 3719, 810, 36977, 311, 6261, 304, 279, 4029, 13189, 690, 3719, 2753, 323, 2753, 1093, 832, 315, 279, 2574, 430, 358, 2846, 1455, 36977, 304, 856, 2324, 369, 9204, 709, 369, 420, 4029, 1475, 3254, 1938, 11, 430, 596, 3249, 584, 4984, 264, 18181, 1475, 1938, 11, 430, 596, 3249, 433, 596, 264, 7418, 13658, 304, 220, 2397, 12628, 323, 6366, 4994, 323, 358, 2846, 11961, 1618, 14975, 420, 7556, 311, 499, 1606, 358, 1071, 358, 2846, 2133, 311, 387, 36977, 311, 7182, 304, 856, 4029, 1606, 358, 1390, 1124, 311, 387, 21190, 922, 279, 4623, 430, 814, 649, 1893, 11191, 2349, 304, 872, 2324, 11, 814, 2351, 10032, 311, 1935, 1521, 7526, 627, 1628, 1070, 596, 264, 7060, 1584, 311, 499, 617, 311, 1781, 922, 279, 10977, 430, 499, 2351, 1524, 11821, 701, 19226, 449, 11, 311, 387, 10978, 449, 499, 11, 358, 1541, 956, 3371, 1455, 1274, 1148, 358, 2846, 3815, 13, 720, 1687, 2751, 264, 2763, 315, 6392, 5108, 11, 719, 358, 1541, 956, 3371, 16470, 922, 433, 1606, 539, 16470, 3966, 311, 1440, 3156, 433, 596, 5644, 11, 539, 16470, 3966, 311, 1440, 3156, 358, 1390, 311, 2231, 433, 704, 11, 539, 16470, 3966, 311, 1440, 1606, 1063, 1274, 527, 2133, 311, 2019, 430, 596, 264, 5128, 87791, 5915, 11, 893, 11, 499, 1288, 30000, 627, 2181, 2643, 1390, 311, 733, 264, 2697, 2753, 1456, 11, 264, 2697, 2753, 2653, 11, 539, 387, 779, 19428, 11, 539, 1456, 311, 1304, 701, 19226, 2586, 837, 11, 499, 4250, 14816, 1093, 430, 13, 220, 56478, 701, 19226, 3345, 311, 701, 15489, 1243, 499, 527, 11821, 1124, 449, 1274, 11, 1314, 30, 1628, 26907, 11, 1063, 315, 1884, 1274, 527, 701, 3070, 13, 2100, 499, 1205, 311, 1427, 520, 430, 323, 1304, 7438, 315, 433, 627, 220, 1628, 358, 2846, 1618, 311, 1862, 499, 11, 358, 1390, 311, 1518, 499, 656, 430, 13, 1628, 389, 7884, 11, 358, 1495, 1461, 1306, 813, 1296, 315, 1071, 11, 3371, 757, 1148, 7077, 13, 1283, 596, 1093, 16603, 430, 1296, 11, 358, 33745, 430, 1296, 11, 358, 1550, 7041, 1148, 358, 1071, 358, 574, 2133, 311, 656, 13, 4800, 1436, 499, 13085, 422, 358, 1047, 856, 2697, 10868, 596, 30, 220, 16910, 499, 13085, 430, 30, 1472, 4762, 6865, 430, 733, 11, 430, 596, 14599, 11, 8096, 11, 3249, 1053, 499, 3596, 656, 430, 30, 1628, 3686, 11, 1070, 527, 1274, 304, 701, 2324, 1314, 1457, 11, 584, 2351, 1093, 11, 22371, 11, 1314, 11334, 6691, 2697, 10868, 8056, 10652, 13, 1283, 596, 1093, 11, 893, 922, 311, 17257, 420, 2683, 1606, 358, 1390, 311, 733, 5944, 279, 1917, 11, 323, 358, 1781, 358, 1766, 279, 1648, 311, 656, 433, 1555, 420, 62803, 927, 1618, 779, 358, 2846, 2133, 311, 733, 1629, 420, 1514, 323, 1518, 422, 584, 649, 1304, 433, 3621, 13, 1628, 568, 596, 3339, 433, 3621, 627, 3112, 1148, 422, 358, 574, 1093, 11, 9495, 709, 5944, 279, 1917, 11, 893, 11, 358, 1550, 433, 382, 5519, 499, 1781, 568, 4265, 387, 304, 264, 2361, 311, 387, 6992, 5380, 4427, 315, 499, 14624, 1314, 1457, 1606, 1427, 279, 33994, 16801, 430, 596, 1027, 95956, 304, 499, 11, 505, 1521, 22540, 315, 30988, 706, 1071, 1268, 33304, 499, 1781, 430, 499, 649, 387, 6992, 30, 1628, 779, 279, 4545, 4423, 775, 6944, 311, 2231, 872, 4623, 315, 2450, 304, 279, 15861, 499, 617, 311, 6958, 433, 1523, 1606, 499, 2351, 27207, 315, 433, 627, 2675, 1205, 311, 3663, 279, 8206, 430, 422, 499, 2351, 2133, 311, 387, 27207, 315, 2450, 11, 499, 690, 2646, 387, 6992, 627, 40, 4639, 1274, 682, 279, 892, 11, 994, 814, 2586, 1139, 24826, 449, 757, 627, 24714, 596, 2133, 311, 387, 2204, 422, 499, 1541, 956, 2349, 430, 4029, 627, 4516, 358, 1390, 499, 311, 1935, 19179, 323, 15808, 315, 279, 1274, 430, 499, 2351, 10374, 892, 449, 1606, 39242, 1288, 2733, 1093, 51475, 994, 499, 2351, 304, 279, 1314, 1401, 627, 2746, 420, 9417, 7263, 907, 13, 5321, 4430, 433, 449, 264, 4333, 11, 3041, 433, 311, 18570, 889, 3966, 311, 6865, 420, 3432, 1606, 499, 11821, 420, 1436, 2349, 18570, 596, 2324, 13, 1628, 358, 15763, 499, 323, 9901, 499, 369, 279, 8544, 13, 9930, 499, 369, 279, 6743, 323, 279, 14633, 323, 279, 20804, 11, 430, 3445, 279, 1917, 311, 757, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 644, 420, 9417, 11, 617, 499, 3596, 1027, 264, 961, 315, 264, 4029, 323, 433, 11321, 1093, 994, 499, 527, 4560, 311, 1505, 1274, 311, 4546, 499, 709, 323, 1862, 499, 11, 430, 433, 11321, 1093, 814, 2351, 23062, 499, 1523, 11, 430, 814, 2351, 304, 701, 1648, 430, 814, 2351, 539, 11190, 477, 9522, 4054, 315, 279, 2574, 430, 358, 3077, 2744, 10456, 922, 578, 1252, 50009, 17671, 11, 499, 7752, 11, 889, 527, 14624, 11, 1268, 8056, 499, 527, 13, 2684, 596, 279, 2144, 430, 1070, 596, 779, 1790, 51475, 389, 3674, 3772, 11, 323, 832, 315, 279, 2466, 2574, 430, 584, 2351, 3794, 5644, 311, 656, 374, 7195, 1057, 35164, 439, 1664, 439, 264, 7159, 3814, 24826, 430, 358, 2846, 2133, 311, 656, 369, 1949, 26, 358, 2846, 1633, 12304, 922, 430, 627, 4516, 358, 3358, 617, 810, 3649, 304, 264, 5743, 315, 2919, 11, 779, 1304, 2771, 422, 499, 2351, 539, 2768, 757, 389, 14318, 323, 499, 656, 571, 76, 60808, 359, 50009, 627, 2746, 499, 2351, 304, 264, 2294, 4029, 11, 39242, 1288, 2733, 1093, 51475, 26, 358, 1390, 499, 311, 9020, 810, 1606, 358, 1893, 11191, 2349, 304, 1274, 596, 6439, 779, 430, 584, 649, 13967, 3719, 13520, 627, 2746, 499, 1440, 18570, 889, 3966, 420, 9417, 3432, 11, 13551, 433, 449, 1124, 627, 12389, 499, 3596, 1027, 264, 961, 315, 264, 4029, 323, 433, 11321, 1093, 994, 499, 527, 4560, 311, 1505, 1274, 311, 4546, 499, 709, 323, 1862, 499, 11, 430, 433, 3604, 11321, 1093, 814, 2351, 23062, 499, 1523, 430, 814, 2351, 304, 701, 1648, 430, 814, 2351, 539, 3604, 11190, 477, 24629, 5380, 3923, 596, 709, 11, 1252, 50009, 17671, 13, 18231, 430, 499, 2351, 3815, 1664, 11, 856, 4885, 13, 2100, 358, 574, 520, 264, 10017, 420, 2046, 11, 279, 9636, 3773, 66809, 12267, 15354, 9702, 13, 1442, 499, 7752, 617, 15746, 58581, 47794, 449, 24668, 6938, 606, 11, 477, 499, 1253, 1440, 27851, 1306, 9636, 3773, 66809, 12267, 11, 24668, 6938, 606, 29091, 1139, 21834, 1252, 50009, 323, 439, 264, 2626, 8427, 11, 902, 374, 420, 2216, 8056, 3245, 430, 358, 636, 311, 2019, 323, 433, 574, 520, 420, 13, 2100, 13678, 9259, 889, 574, 264, 961, 315, 430, 574, 20256, 264, 10677, 3190, 369, 1274, 311, 539, 1193, 4048, 1063, 4920, 279, 16451, 719, 1101, 311, 636, 1063, 2626, 6873, 323, 3137, 922, 7982, 264, 2626, 323, 2574, 315, 430, 7138, 323, 1070, 574, 264, 2216, 7155, 3217, 358, 2751, 311, 387, 264, 961, 315, 420, 3347, 9178, 13, 1628, 832, 315, 279, 22032, 574, 3938, 18181, 8101, 889, 596, 2133, 311, 3719, 323, 358, 4344, 12304, 922, 31991, 622, 511, 92609, 13, 1628, 31991, 2231, 2555, 389, 6566, 358, 6267, 1523, 323, 779, 15716, 358, 733, 311, 38614, 11, 358, 1373, 264, 8941, 315, 8554, 1606, 358, 2846, 2744, 6975, 323, 358, 3309, 499, 1603, 422, 499, 2351, 10032, 311, 4048, 701, 2324, 690, 387, 2204, 323, 6267, 420, 1523, 13, 1442, 499, 2351, 304, 264, 2294, 4029, 11, 39242, 11, 433, 1288, 2733, 1093, 459, 51475, 627, 39787, 922, 430, 379, 65948, 1288, 2733, 1093, 51475, 627, 4054, 315, 279, 2574, 430, 358, 3077, 2744, 10456, 922, 578, 1252, 50009, 17671, 11, 499, 7752, 11, 889, 527, 14624, 11, 1268, 8056, 499, 527, 13, 2684, 596, 264, 2144, 430, 1070, 596, 779, 1790, 51475, 389, 3674, 3772, 11, 323, 832, 315, 279, 2466, 2574, 430, 584, 2351, 3794, 5644, 311, 656, 374, 7195, 1057, 35164, 439, 1664, 439, 264, 7159, 3814, 24826, 430, 358, 2846, 2133, 311, 656, 369, 1949, 11, 358, 2846, 1633, 12304, 922, 430, 13, 2100, 358, 3358, 617, 810, 3649, 304, 264, 5743, 315, 2919, 11, 779, 1304, 2771, 422, 499, 2351, 539, 2768, 757, 389, 14318, 323, 499, 656, 571, 26597, 359, 50009, 627, 3112, 779, 358, 574, 7422, 922, 420, 4623, 922, 4029, 323, 1268, 11, 499, 1440, 11, 358, 3077, 1027, 304, 10977, 1405, 433, 6612, 1093, 11, 1274, 1541, 956, 1390, 311, 1518, 499, 10205, 7982, 709, 11, 1405, 358, 14264, 709, 3411, 520, 856, 2324, 323, 7422, 922, 1148, 20587, 574, 1093, 11, 1148, 856, 7411, 1051, 1093, 13, 1472, 1440, 11, 279, 7976, 388, 1120, 1051, 539, 33445, 11, 1070, 574, 912, 51475, 1093, 358, 6227, 1694, 3995, 323, 387, 1093, 11, 893, 11, 358, 2846, 2133, 311, 733, 323, 1456, 311, 656, 420, 11, 358, 2846, 16926, 733, 1456, 311, 387, 420, 1732, 323, 733, 1456, 11, 1304, 433, 704, 315, 1618, 13, 256, 8595, 20753, 422, 19093, 596, 16926, 1518, 757, 11, 3249, 20753, 30, 1628, 358, 13383, 1093, 3868, 264, 2132, 11, 358, 1288, 387, 3815, 430, 6392, 369, 757, 627, 4599, 499, 1781, 922, 279, 4029, 430, 499, 2351, 264, 961, 315, 1314, 1457, 994, 499, 2231, 704, 701, 6848, 304, 701, 19226, 11, 499, 1440, 11, 527, 814, 26921, 311, 499, 477, 1521, 1274, 304, 701, 2324, 527, 814, 1274, 430, 1390, 311, 1935, 2512, 315, 499, 430, 1390, 311, 1518, 499, 387, 6992, 30, 256, 1472, 8063, 2288, 2466, 13, 1226, 1541, 956, 1093, 430, 3727, 603, 29213, 13, 28636, 701, 17078, 11, 4827, 701, 11811, 11, 4827, 701, 19226, 627, 1687, 1541, 956, 1390, 430, 2212, 11, 422, 430, 596, 279, 3169, 315, 4029, 430, 499, 2351, 304, 11, 499, 1205, 311, 2216, 1935, 264, 18579, 1618, 323, 1781, 922, 279, 5536, 315, 430, 389, 701, 2324, 1606, 358, 1541, 956, 1440, 922, 499, 719, 994, 420, 7077, 311, 757, 11, 358, 574, 1120, 2884, 11, 358, 574, 1093, 11, 499, 1440, 1148, 30, 220, 358, 1541, 956, 1390, 311, 733, 323, 387, 264, 26202, 11, 358, 1541, 956, 1390, 311, 387, 264, 2466, 10868, 11, 358, 1541, 956, 1390, 311, 1304, 2349, 304, 856, 4029, 11, 358, 1120, 2567, 11486, 11217, 11, 358, 1120, 2567, 15061, 279, 15316, 323, 39098, 9515, 11, 323, 539, 19560, 1579, 2978, 13, 358, 3358, 733, 1193, 8493, 3300, 389, 7182, 304, 856, 220, 508, 82, 323, 2646, 1935, 2512, 315, 1274, 11, 1193, 387, 264, 18118, 682, 279, 892, 1606, 1475, 892, 358, 1456, 311, 4430, 1063, 430, 1274, 6958, 757, 1523, 13, 1472, 527, 279, 2694, 2860, 315, 279, 1274, 430, 499, 8493, 701, 1455, 892, 449, 13, 220, 1628, 499, 1205, 311, 25670, 430, 1606, 11, 8101, 1148, 11, 499, 649, 1193, 2349, 1148, 499, 649, 6767, 11, 1314, 5380, 2675, 3077, 6755, 757, 2019, 430, 1603, 11, 323, 422, 499, 7784, 956, 30090, 279, 1274, 430, 499, 2351, 10374, 892, 449, 701, 2133, 311, 387, 304, 12544, 11, 1606, 358, 2846, 11890, 499, 1314, 1457, 11, 1148, 499, 2351, 304, 264, 5133, 449, 18570, 1314, 1457, 304, 701, 4885, 323, 701, 2626, 323, 701, 7076, 323, 701, 3070, 11, 1524, 1405, 814, 2351, 1120, 23062, 499, 1523, 1475, 892, 11, 499, 2351, 1093, 30596, 11, 358, 2751, 420, 4623, 11, 2751, 420, 3245, 11, 358, 2846, 21730, 11, 358, 2846, 10223, 11, 358, 4344, 7982, 323, 10671, 279, 2731, 2373, 315, 7182, 11, 358, 2846, 539, 20806, 30988, 387, 304, 856, 1648, 14926, 11, 358, 2846, 2133, 311, 15419, 627, 4438, 1690, 3115, 304, 701, 2324, 617, 499, 3309, 18570, 499, 2351, 2133, 311, 15419, 323, 814, 2351, 1093, 11, 499, 1541, 956, 1205, 15419, 11, 1148, 527, 499, 2133, 311, 656, 430, 369, 5380, 4438, 1690, 3115, 617, 499, 3309, 18570, 499, 2351, 7422, 922, 3794, 264, 7395, 30, 80326, 2822, 1648, 11, 433, 1120, 4536, 956, 16926, 3621, 627, 3112, 358, 6227, 18570, 32627, 520, 757, 264, 5743, 315, 1667, 4227, 13, 34863, 4762, 264, 2697, 2766, 5129, 994, 358, 574, 1093, 11, 499, 1440, 1148, 11, 8529, 426, 1570, 20732, 374, 2133, 311, 387, 856, 7395, 832, 1938, 11, 814, 32627, 323, 814, 1051, 1093, 11, 22371, 11, 1314, 11, 17339, 11, 358, 690, 2646, 10894, 420, 13, 256, 9393, 358, 2846, 539, 20806, 21739, 6958, 757, 1523, 11, 358, 11471, 499, 430, 13, 1628, 358, 2846, 2133, 311, 617, 8529, 426, 1570, 20732, 439, 856, 7395, 11, 358, 617, 1903, 264, 5597, 1148, 358, 2846, 2133, 311, 656, 11, 1148, 433, 5097, 311, 636, 1070, 627, 3112, 439, 1690, 315, 11, 499, 1440, 11, 358, 3077, 1047, 279, 33415, 315, 1694, 3025, 311, 4048, 315, 832, 315, 279, 12474, 20663, 389, 11841, 9420, 1314, 1457, 304, 856, 7395, 11, 8529, 426, 1570, 20732, 13, 1628, 499, 1440, 1148, 11, 1274, 1781, 430, 311, 994, 814, 2586, 1139, 24826, 449, 757, 11, 814, 2351, 1093, 11, 30596, 11, 358, 38023, 4048, 505, 420, 1732, 889, 596, 3549, 11, 420, 8056, 3245, 430, 649, 1520, 757, 1304, 856, 2324, 2731, 11, 719, 1070, 527, 1274, 304, 856, 2324, 19971, 369, 13, 13266, 1274, 304, 701, 2324, 889, 11913, 499, 369, 430, 11, 814, 690, 2646, 617, 2450, 1606, 814, 2351, 53731, 315, 1148, 433, 5992, 1093, 1606, 814, 1541, 956, 3619, 430, 304, 2015, 311, 617, 2450, 814, 3077, 2751, 311, 387, 10032, 311, 2231, 5694, 4994, 315, 872, 6981, 10353, 627, 3112, 994, 499, 636, 1139, 264, 4029, 11, 1405, 39242, 11321, 1093, 459, 51475, 11, 1405, 1274, 733, 11, 35309, 11, 893, 11, 499, 3287, 956, 656, 279, 3245, 499, 1071, 499, 1051, 2133, 311, 656, 1148, 596, 709, 449, 430, 30, 1628, 1243, 279, 1833, 5352, 374, 11, 1268, 656, 584, 1520, 499, 30, 3639, 656, 499, 1205, 30, 11208, 499, 520, 30, 3639, 596, 11102, 304, 279, 1887, 30, 3639, 6848, 649, 584, 4546, 311, 279, 2007, 430, 690, 2349, 701, 2324, 30, 2876, 11, 14346, 11, 499, 3287, 956, 636, 279, 3245, 2884, 499, 1071, 499, 1051, 2133, 311, 656, 323, 16470, 596, 1093, 1518, 584, 7020, 499, 15058, 956, 2133, 311, 656, 433, 11, 358, 1541, 956, 1524, 1440, 3249, 499, 1456, 13, 256, 8595, 1524, 1501, 709, 11, 430, 690, 2646, 2349, 701, 2324, 13, 1628, 1427, 304, 892, 11, 499, 690, 3719, 810, 36977, 311, 6261, 304, 279, 4029, 13189, 690, 3719, 2753, 323, 2753, 1093, 832, 315, 279, 2574, 430, 358, 2846, 1455, 36977, 304, 856, 2324, 369, 9204, 709, 369, 420, 4029, 1475, 3254, 1938, 11, 430, 596, 3249, 584, 4984, 264, 18181, 1475, 1938, 11, 430, 596, 3249, 433, 596, 264, 7418, 13658, 304, 220, 2397, 12628, 323, 6366, 4994, 323, 358, 2846, 11961, 1618, 14975, 420, 7556, 311, 499, 1606, 358, 1071, 358, 2846, 2133, 311, 387, 36977, 311, 7182, 304, 856, 4029, 1606, 358, 1390, 1124, 311, 387, 21190, 922, 279, 4623, 430, 814, 649, 1893, 11191, 2349, 304, 872, 2324, 11, 814, 2351, 10032, 311, 1935, 1521, 7526, 627, 1628, 1070, 596, 264, 7060, 1584, 311, 499, 617, 311, 1781, 922, 279, 10977, 430, 499, 2351, 1524, 11821, 701, 19226, 449, 11, 311, 387, 10978, 449, 499, 11, 358, 1541, 956, 3371, 1455, 1274, 1148, 358, 2846, 3815, 13, 720, 1687, 2751, 264, 2763, 315, 6392, 5108, 11, 719, 358, 1541, 956, 3371, 16470, 922, 433, 1606, 539, 16470, 3966, 311, 1440, 3156, 433, 596, 5644, 11, 539, 16470, 3966, 311, 1440, 3156, 358, 1390, 311, 2231, 433, 704, 11, 539, 16470, 3966, 311, 1440, 1606, 1063, 1274, 527, 2133, 311, 2019, 430, 596, 264, 5128, 87791, 5915, 11, 893, 11, 499, 1288, 30000, 627, 2181, 2643, 1390, 311, 733, 264, 2697, 2753, 1456, 11, 264, 2697, 2753, 2653, 11, 539, 387, 779, 19428, 11, 539, 1456, 311, 1304, 701, 19226, 2586, 837, 11, 499, 4250, 14816, 1093, 430, 13, 220, 56478, 701, 19226, 3345, 311, 701, 15489, 1243, 499, 527, 11821, 1124, 449, 1274, 11, 1314, 30, 1628, 26907, 11, 1063, 315, 1884, 1274, 527, 701, 3070, 13, 2100, 499, 1205, 311, 1427, 520, 430, 323, 1304, 7438, 315, 433, 627, 220, 1628, 358, 2846, 1618, 311, 1862, 499, 11, 358, 1390, 311, 1518, 499, 656, 430, 13, 1628, 389, 7884, 11, 358, 1495, 1461, 1306, 813, 1296, 315, 1071, 11, 3371, 757, 1148, 7077, 13, 1283, 596, 1093, 16603, 430, 1296, 11, 358, 33745, 430, 1296, 11, 358, 1550, 7041, 1148, 358, 1071, 358, 574, 2133, 311, 656, 13, 4800, 1436, 499, 13085, 422, 358, 1047, 856, 2697, 10868, 596, 30, 220, 16910, 499, 13085, 430, 30, 1472, 4762, 6865, 430, 733, 11, 430, 596, 14599, 11, 8096, 11, 3249, 1053, 499, 3596, 656, 430, 30, 1628, 3686, 11, 1070, 527, 1274, 304, 701, 2324, 1314, 1457, 11, 584, 2351, 1093, 11, 22371, 11, 1314, 11334, 6691, 2697, 10868, 8056, 10652, 13, 1283, 596, 1093, 11, 893, 922, 311, 17257, 420, 2683, 1606, 358, 1390, 311, 733, 5944, 279, 1917, 11, 323, 358, 1781, 358, 1766, 279, 1648, 311, 656, 433, 1555, 420, 62803, 927, 1618, 779, 358, 2846, 2133, 311, 733, 1629, 420, 1514, 323, 1518, 422, 584, 649, 1304, 433, 3621, 13, 1628, 568, 596, 3339, 433, 3621, 627, 3112, 1148, 422, 358, 574, 1093, 11, 9495, 709, 5944, 279, 1917, 11, 893, 11, 358, 1550, 433, 382, 5519, 499, 1781, 568, 4265, 387, 304, 264, 2361, 311, 387, 6992, 5380, 4427, 315, 499, 14624, 1314, 1457, 1606, 1427, 279, 33994, 16801, 430, 596, 1027, 95956, 304, 499, 11, 505, 1521, 22540, 315, 30988, 706, 1071, 1268, 33304, 499, 1781, 430, 499, 649, 387, 6992, 30, 1628, 779, 279, 4545, 4423, 775, 6944, 311, 2231, 872, 4623, 315, 2450, 304, 279, 15861, 499, 617, 311, 6958, 433, 1523, 1606, 499, 2351, 27207, 315, 433, 627, 2675, 1205, 311, 3663, 279, 8206, 430, 422, 499, 2351, 2133, 311, 387, 27207, 315, 2450, 11, 499, 690, 2646, 387, 6992, 627, 40, 4639, 1274, 682, 279, 892, 11, 994, 814, 2586, 1139, 24826, 449, 757, 627, 24714, 596, 2133, 311, 387, 2204, 422, 499, 1541, 956, 2349, 430, 4029, 627, 4516, 358, 1390, 499, 311, 1935, 19179, 323, 15808, 315, 279, 1274, 430, 499, 2351, 10374, 892, 449, 1606, 39242, 1288, 2733, 1093, 51475, 994, 499, 2351, 304, 279, 1314, 1401, 627, 2746, 420, 9417, 7263, 907, 13, 5321, 4430, 433, 449, 264, 4333, 11, 3041, 433, 311, 18570, 889, 3966, 311, 6865, 420, 3432, 1606, 499, 11821, 420, 1436, 2349, 18570, 596, 2324, 13, 1628, 358, 15763, 499, 323, 9901, 499, 369, 279, 8544, 13, 9930, 499, 369, 279, 6743, 323, 279, 14633, 323, 279, 20804, 11, 430, 3445, 279, 1917, 311, 757, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365 ]
2,366
[ 128000, 2409, 279, 25425, 5108, 709, 11, 1690, 6699, 2610, 757, 369, 16627, 21258, 430, 358, 1053, 7079, 369, 872, 2911, 13, 1054, 12878, 13538, 279, 34392, 863, 374, 832, 430, 358, 1053, 4284, 13, 1102, 374, 264, 12496, 25649, 1847, 430, 649, 387, 6476, 29235, 477, 304, 264, 2678, 1912, 20632, 320, 269, 304, 264, 4219, 570, 1102, 753, 369, 2911, 220, 23, 323, 709, 11, 323, 4131, 505, 11, 832, 315, 856, 7075, 8336, 369, 7422, 3953, 323, 7640, 13, 4427, 1023, 3953, 430, 358, 7079, 505, 279, 2816, 527, 25, 35175, 31933, 11, 11730, 60224, 48487, 11, 1229, 7826, 11289, 11, 93244, 2100, 17737, 11, 323, 480, 96950, 83, 13, 4314, 527, 682, 3953, 430, 1397, 12496, 11, 8446, 11, 323, 37910, 535, 33811, 1389, 3339, 1124, 2294, 369, 279, 24978, 477, 439, 21258, 627, 12878, 13538, 279, 34392, 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 ]
[ 128000, 2409, 279, 25425, 5108, 709, 11, 1690, 6699, 2610, 757, 369, 16627, 21258, 430, 358, 1053, 7079, 369, 872, 2911, 13, 1054, 12878, 13538, 279, 34392, 863, 374, 832, 430, 358, 1053, 4284, 13, 1102, 374, 264, 12496, 25649, 1847, 430, 649, 387, 6476, 29235, 477, 304, 264, 2678, 1912, 20632, 320, 269, 304, 264, 4219, 570, 1102, 753, 369, 2911, 220, 23, 323, 709, 11, 323, 4131, 505, 11, 832, 315, 856, 7075, 8336, 369, 7422, 3953, 323, 7640, 13, 4427, 1023, 3953, 430, 358, 7079, 505, 279, 2816, 527, 25, 35175, 31933, 11, 11730, 60224, 48487, 11, 1229, 7826, 11289, 11, 93244, 2100, 17737, 11, 323, 480, 96950, 83, 13, 4314, 527, 682, 3953, 430, 1397, 12496, 11, 8446, 11, 323, 37910, 535, 33811, 1389, 3339, 1124, 2294, 369, 279, 24978, 477, 439, 21258, 627, 12878, 13538, 279, 34392, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 791, 1176, 832, 315, 1521, 7493, 430, 2751, 2466, 922, 264, 7899, 12360, 3794, 24670, 74092, 1234, 35778, 369, 264, 3560, 430, 574, 8792, 311, 264, 11191, 2487, 1215, 315, 264, 1847, 574, 279, 3063, 12360, 369, 59845, 220, 19, 11, 902, 706, 1903, 400, 17, 33, 2533, 4984, 11, 8096, 16071, 1228, 2751, 7318, 400, 1041, 74, 369, 220, 868, 4038, 990, 11, 477, 220, 15, 13, 8504, 4, 315, 279, 24608, 369, 279, 1847, 382, 56351, 1109, 11552, 4478, 30, 23371, 11, 4762, 13, 10335, 12560, 7863, 311, 1268, 1790, 315, 459, 5536, 1695, 7899, 15718, 3727, 389, 264, 1847, 30, 60998, 13, 7429, 2567, 304, 4059, 279, 2800, 315, 430, 3300, 3250, 956, 733, 311, 279, 81169, 3060, 11, 433, 5900, 311, 3969, 82, 323, 41777, 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 ]
[ 128000, 791, 1176, 832, 315, 1521, 7493, 430, 2751, 2466, 922, 264, 7899, 12360, 3794, 24670, 74092, 1234, 35778, 369, 264, 3560, 430, 574, 8792, 311, 264, 11191, 2487, 1215, 315, 264, 1847, 574, 279, 3063, 12360, 369, 59845, 220, 19, 11, 902, 706, 1903, 400, 17, 33, 2533, 4984, 11, 8096, 16071, 1228, 2751, 7318, 400, 1041, 74, 369, 220, 868, 4038, 990, 11, 477, 220, 15, 13, 8504, 4, 315, 279, 24608, 369, 279, 1847, 382, 56351, 1109, 11552, 4478, 30, 23371, 11, 4762, 13, 10335, 12560, 7863, 311, 1268, 1790, 315, 459, 5536, 1695, 7899, 15718, 3727, 389, 264, 1847, 30, 60998, 13, 7429, 2567, 304, 4059, 279, 2800, 315, 430, 3300, 3250, 956, 733, 311, 279, 81169, 3060, 11, 433, 5900, 311, 3969, 82, 323, 41777, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131 ]
132
[ 128000, 20290, 25, 1115, 76349, 17482, 439, 264, 5211, 11630, 369, 7487, 889, 1862, 12697, 315, 13018, 9349, 627, 16328, 25, 1115, 76349, 5825, 2038, 11, 19351, 11, 323, 1862, 311, 18885, 1561, 12550, 753, 9045, 311, 1893, 3831, 23222, 40705, 1990, 279, 13018, 9349, 7620, 323, 13607, 13788, 3428, 8070, 8689, 25051, 13018, 477, 7392, 9349, 13, 1115, 76349, 5825, 2038, 311, 279, 33620, 9365, 14829, 482, 55548, 46865, 311, 4275, 9497, 50556, 6826, 320, 1669, 35, 9469, 1111, 37, 8, 323, 1561, 12550, 320, 38425, 8, 21785, 5687, 311, 12576, 304, 872, 8830, 315, 9349, 11, 19542, 11, 323, 279, 5016, 3966, 315, 3278, 889, 617, 1027, 80756, 13, 1102, 5825, 279, 4857, 10215, 369, 3831, 83663, 1990, 6484, 13018, 9349, 7620, 323, 7620, 13788, 350, 1111, 37, 17446, 12884, 323, 872, 2911, 13, 1115, 76349, 374, 18255, 1139, 4330, 5596, 25, 3744, 220, 16, 374, 12514, 311, 8830, 13018, 9349, 323, 279, 1690, 7739, 323, 4819, 433, 18911, 369, 279, 12697, 26, 3744, 220, 17, 49095, 279, 3070, 9349, 3072, 320, 37, 11417, 8, 323, 279, 3507, 35, 9469, 1111, 37, 20906, 44, 21785, 304, 1561, 12550, 11, 2737, 40489, 350, 1111, 37, 38716, 26, 3744, 220, 18, 5825, 2038, 389, 7296, 323, 5326, 14278, 369, 8403, 14892, 449, 13018, 9349, 439, 1664, 439, 7296, 9293, 38864, 369, 3507, 35, 9469, 1111, 37, 20906, 44, 36798, 26, 3744, 220, 19, 49095, 24629, 10631, 323, 18726, 369, 20632, 9045, 1990, 3507, 35, 9469, 1111, 37, 20906, 44, 21785, 323, 1023, 6484, 13018, 9349, 7620, 26, 3744, 220, 20, 5825, 5070, 2561, 311, 1862, 279, 7296, 323, 7100, 20334, 315, 12697, 315, 13018, 9349, 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 ]
[ 128000, 20290, 25, 1115, 76349, 17482, 439, 264, 5211, 11630, 369, 7487, 889, 1862, 12697, 315, 13018, 9349, 627, 16328, 25, 1115, 76349, 5825, 2038, 11, 19351, 11, 323, 1862, 311, 18885, 1561, 12550, 753, 9045, 311, 1893, 3831, 23222, 40705, 1990, 279, 13018, 9349, 7620, 323, 13607, 13788, 3428, 8070, 8689, 25051, 13018, 477, 7392, 9349, 13, 1115, 76349, 5825, 2038, 311, 279, 33620, 9365, 14829, 482, 55548, 46865, 311, 4275, 9497, 50556, 6826, 320, 1669, 35, 9469, 1111, 37, 8, 323, 1561, 12550, 320, 38425, 8, 21785, 5687, 311, 12576, 304, 872, 8830, 315, 9349, 11, 19542, 11, 323, 279, 5016, 3966, 315, 3278, 889, 617, 1027, 80756, 13, 1102, 5825, 279, 4857, 10215, 369, 3831, 83663, 1990, 6484, 13018, 9349, 7620, 323, 7620, 13788, 350, 1111, 37, 17446, 12884, 323, 872, 2911, 13, 1115, 76349, 374, 18255, 1139, 4330, 5596, 25, 3744, 220, 16, 374, 12514, 311, 8830, 13018, 9349, 323, 279, 1690, 7739, 323, 4819, 433, 18911, 369, 279, 12697, 26, 3744, 220, 17, 49095, 279, 3070, 9349, 3072, 320, 37, 11417, 8, 323, 279, 3507, 35, 9469, 1111, 37, 20906, 44, 21785, 304, 1561, 12550, 11, 2737, 40489, 350, 1111, 37, 38716, 26, 3744, 220, 18, 5825, 2038, 389, 7296, 323, 5326, 14278, 369, 8403, 14892, 449, 13018, 9349, 439, 1664, 439, 7296, 9293, 38864, 369, 3507, 35, 9469, 1111, 37, 20906, 44, 36798, 26, 3744, 220, 19, 49095, 24629, 10631, 323, 18726, 369, 20632, 9045, 1990, 3507, 35, 9469, 1111, 37, 20906, 44, 21785, 323, 1023, 6484, 13018, 9349, 7620, 26, 3744, 220, 20, 5825, 5070, 2561, 311, 1862, 279, 7296, 323, 7100, 20334, 315, 12697, 315, 13018, 9349, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 39203, 783, 11, 4410, 13286, 320, 54, 53, 705, 264, 4029, 389, 279, 4410, 13286, 48950, 315, 17019, 24076, 304, 45956, 28493, 6406, 11, 574, 32762, 304, 220, 9378, 15, 323, 7086, 369, 12656, 15013, 11, 832, 315, 279, 5654, 753, 1176, 61107, 13, 578, 3221, 25501, 315, 279, 90227, 9636, 6798, 468, 4940, 527, 7559, 220, 868, 8931, 53342, 315, 15013, 783, 627, 39203, 783, 374, 7559, 389, 27834, 2326, 12, 5154, 13489, 4330, 8931, 53342, 315, 88370, 11, 4410, 13286, 11, 323, 220, 508, 8931, 42552, 315, 27524, 11, 4410, 13286, 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 ]
[ 128000, 39203, 783, 11, 4410, 13286, 320, 54, 53, 705, 264, 4029, 389, 279, 4410, 13286, 48950, 315, 17019, 24076, 304, 45956, 28493, 6406, 11, 574, 32762, 304, 220, 9378, 15, 323, 7086, 369, 12656, 15013, 11, 832, 315, 279, 5654, 753, 1176, 61107, 13, 578, 3221, 25501, 315, 279, 90227, 9636, 6798, 468, 4940, 527, 7559, 220, 868, 8931, 53342, 315, 15013, 783, 627, 39203, 783, 374, 7559, 389, 27834, 2326, 12, 5154, 13489, 4330, 8931, 53342, 315, 88370, 11, 4410, 13286, 11, 323, 220, 508, 8931, 42552, 315, 27524, 11, 4410, 13286, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 ]
96
[ 128000, 48, 25, 35755, 5774, 279, 907, 1808, 1139, 3330, 364, 654, 24343, 518, 3330, 1587, 539, 2187, 854, 82, 13, 40618, 14865, 2650, 649, 358, 5766, 420, 3575, 1473, 17902, 5774, 279, 907, 1808, 1139, 3330, 364, 654, 24343, 518, 3330, 1587, 539, 2187, 854, 82, 13, 40618, 14865, 382, 18031, 3319, 374, 512, 4302, 1139, 87465, 320, 2119, 16, 11, 1400, 17, 11, 1400, 18, 8, 2355, 3745, 493, 85, 16, 518, 364, 85, 17, 518, 364, 85, 18, 19691, 32, 25, 1442, 499, 527, 539, 2133, 311, 5774, 279, 907, 21650, 304, 279, 40618, 5224, 11, 323, 279, 8310, 374, 4276, 1808, 11, 499, 1205, 311, 14158, 264, 1670, 907, 304, 279, 14700, 382, 791, 12221, 22295, 374, 1511, 311, 5774, 264, 1670, 907, 1139, 264, 198, 220, 3330, 13, 256, 578, 1670, 907, 690, 387, 3779, 311, 682, 502, 7576, 11, 422, 912, 198, 220, 1023, 907, 374, 5300, 4286, 32, 25, 1102, 10578, 1093, 701, 2007, 706, 1027, 3549, 449, 264, 46815, 42878, 19924, 719, 2085, 279, 8475, 1670, 907, 13, 5810, 374, 459, 3187, 505, 49509, 37615, 12111, 369, 264, 6300, 2007, 7419, 1701, 279, 4668, 13, 1102, 1288, 3041, 499, 1063, 1520, 627, 23421, 14700, 63388, 750, 62, 23657, 18296, 198, 320, 24343, 5016, 16288, 94863, 12433, 61436, 12221, 16560, 28136, 926, 368, 46815, 42878, 19924, 345, 17275, 19552, 34058, 7, 1399, 340, 94863, 12433, 64998, 38567, 12282, 320, 17100, 8, 3559, 791, 16560, 28136, 926, 368, 1670, 690, 7068, 264, 31321, 369, 499, 13, 17586, 433, 499, 690, 617, 311, 7068, 701, 1866, 323, 2997, 433, 304, 279, 5774, 13, 1472, 1541, 956, 617, 311, 1005, 433, 439, 279, 6156, 1401, 439, 304, 279, 3187, 11, 719, 499, 617, 311, 8312, 433, 477, 1005, 279, 1670, 382, 32, 25, 2684, 527, 1403, 10105, 311, 420, 3575, 627, 4054, 499, 649, 1304, 3330, 364, 654, 24343, 6, 311, 2187, 854, 323, 279, 1023, 374, 311, 743, 1063, 1670, 907, 315, 701, 5137, 627, 644, 701, 2082, 499, 649, 743, 2819, 439, 198, 396, 348, 16, 284, 220, 15, 280, 928, 348, 17, 284, 3089, 401, 12487, 1522, 1521, 2819, 311, 3319, 627, 2675, 649, 743, 1670, 5852, 2819, 304, 279, 9967, 10537, 439, 198, 31, 85, 16, 528, 284, 220, 15, 345, 31, 85, 17, 34058, 7, 1135, 8, 284, 364, 364, 15073, 32, 25, 11359, 420, 3187, 512, 23421, 14700, 510, 21521, 37516, 11043, 96124, 262, 510, 307, 60, 510, 396, 60, 3110, 32274, 7, 16, 11, 16, 8, 4276, 1808, 345, 262, 510, 769, 1738, 60, 510, 9782, 16288, 60, 5016, 46815, 42878, 19924, 220, 4276, 1808, 345, 262, 510, 3936, 60, 510, 64665, 9725, 2880, 8, 1808, 345, 262, 510, 1738, 60, 510, 959, 26978, 9725, 2880, 8, 12100, 55426, 220, 1808, 345, 94863, 510, 23037, 43644, 62, 16, 60, 38567, 12282, 7121, 47109, 1507, 720, 1021, 262, 510, 307, 60, 20382, 198, 4489, 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 ]
[ 128000, 48, 25, 35755, 5774, 279, 907, 1808, 1139, 3330, 364, 654, 24343, 518, 3330, 1587, 539, 2187, 854, 82, 13, 40618, 14865, 2650, 649, 358, 5766, 420, 3575, 1473, 17902, 5774, 279, 907, 1808, 1139, 3330, 364, 654, 24343, 518, 3330, 1587, 539, 2187, 854, 82, 13, 40618, 14865, 382, 18031, 3319, 374, 512, 4302, 1139, 87465, 320, 2119, 16, 11, 1400, 17, 11, 1400, 18, 8, 2355, 3745, 493, 85, 16, 518, 364, 85, 17, 518, 364, 85, 18, 19691, 32, 25, 1442, 499, 527, 539, 2133, 311, 5774, 279, 907, 21650, 304, 279, 40618, 5224, 11, 323, 279, 8310, 374, 4276, 1808, 11, 499, 1205, 311, 14158, 264, 1670, 907, 304, 279, 14700, 382, 791, 12221, 22295, 374, 1511, 311, 5774, 264, 1670, 907, 1139, 264, 198, 220, 3330, 13, 256, 578, 1670, 907, 690, 387, 3779, 311, 682, 502, 7576, 11, 422, 912, 198, 220, 1023, 907, 374, 5300, 4286, 32, 25, 1102, 10578, 1093, 701, 2007, 706, 1027, 3549, 449, 264, 46815, 42878, 19924, 719, 2085, 279, 8475, 1670, 907, 13, 5810, 374, 459, 3187, 505, 49509, 37615, 12111, 369, 264, 6300, 2007, 7419, 1701, 279, 4668, 13, 1102, 1288, 3041, 499, 1063, 1520, 627, 23421, 14700, 63388, 750, 62, 23657, 18296, 198, 320, 24343, 5016, 16288, 94863, 12433, 61436, 12221, 16560, 28136, 926, 368, 46815, 42878, 19924, 345, 17275, 19552, 34058, 7, 1399, 340, 94863, 12433, 64998, 38567, 12282, 320, 17100, 8, 3559, 791, 16560, 28136, 926, 368, 1670, 690, 7068, 264, 31321, 369, 499, 13, 17586, 433, 499, 690, 617, 311, 7068, 701, 1866, 323, 2997, 433, 304, 279, 5774, 13, 1472, 1541, 956, 617, 311, 1005, 433, 439, 279, 6156, 1401, 439, 304, 279, 3187, 11, 719, 499, 617, 311, 8312, 433, 477, 1005, 279, 1670, 382, 32, 25, 2684, 527, 1403, 10105, 311, 420, 3575, 627, 4054, 499, 649, 1304, 3330, 364, 654, 24343, 6, 311, 2187, 854, 323, 279, 1023, 374, 311, 743, 1063, 1670, 907, 315, 701, 5137, 627, 644, 701, 2082, 499, 649, 743, 2819, 439, 198, 396, 348, 16, 284, 220, 15, 280, 928, 348, 17, 284, 3089, 401, 12487, 1522, 1521, 2819, 311, 3319, 627, 2675, 649, 743, 1670, 5852, 2819, 304, 279, 9967, 10537, 439, 198, 31, 85, 16, 528, 284, 220, 15, 345, 31, 85, 17, 34058, 7, 1135, 8, 284, 364, 364, 15073, 32, 25, 11359, 420, 3187, 512, 23421, 14700, 510, 21521, 37516, 11043, 96124, 262, 510, 307, 60, 510, 396, 60, 3110, 32274, 7, 16, 11, 16, 8, 4276, 1808, 345, 262, 510, 769, 1738, 60, 510, 9782, 16288, 60, 5016, 46815, 42878, 19924, 220, 4276, 1808, 345, 262, 510, 3936, 60, 510, 64665, 9725, 2880, 8, 1808, 345, 262, 510, 1738, 60, 510, 959, 26978, 9725, 2880, 8, 12100, 55426, 220, 1808, 345, 94863, 510, 23037, 43644, 62, 16, 60, 38567, 12282, 7121, 47109, 1507, 720, 1021, 262, 510, 307, 60, 20382, 198, 4489, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 791, 26639, 8410, 315, 8483, 323, 11050, 24853, 2999, 13, 77214, 432, 6321, 753, 3851, 369, 264, 21931, 323, 25542, 398, 11050, 17768, 320, 5119, 6486, 8, 311, 4007, 1268, 279, 7446, 6439, 11, 7640, 11, 323, 59623, 315, 27698, 5496, 304, 32487, 16806, 19169, 11, 872, 42111, 37612, 41964, 1664, 33851, 11, 323, 872, 2911, 753, 42111, 37612, 41964, 1664, 33851, 10383, 9200, 50150, 24384, 27460, 627, 791, 2447, 374, 459, 48539, 5382, 18178, 4007, 311, 6179, 279, 4500, 315, 459, 21623, 311, 1862, 279, 50150, 24384, 11049, 1418, 5496, 304, 264, 3070, 9349, 23756, 13, 1226, 9395, 311, 10765, 279, 1401, 24717, 320, 68, 1326, 2637, 50150, 42111, 43129, 1664, 33851, 11, 7446, 8631, 1105, 11, 23756, 5687, 14765, 8, 315, 2349, 430, 1053, 1862, 64186, 304, 420, 2317, 555, 26984, 7446, 828, 505, 27698, 11, 5496, 304, 3070, 9349, 52888, 11, 9002, 872, 5912, 7640, 11, 872, 11, 323, 872, 2911, 753, 42111, 37612, 41964, 1664, 33851, 11, 323, 26617, 50150, 24384, 27460, 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 ]
[ 128000, 791, 26639, 8410, 315, 8483, 323, 11050, 24853, 2999, 13, 77214, 432, 6321, 753, 3851, 369, 264, 21931, 323, 25542, 398, 11050, 17768, 320, 5119, 6486, 8, 311, 4007, 1268, 279, 7446, 6439, 11, 7640, 11, 323, 59623, 315, 27698, 5496, 304, 32487, 16806, 19169, 11, 872, 42111, 37612, 41964, 1664, 33851, 11, 323, 872, 2911, 753, 42111, 37612, 41964, 1664, 33851, 10383, 9200, 50150, 24384, 27460, 627, 791, 2447, 374, 459, 48539, 5382, 18178, 4007, 311, 6179, 279, 4500, 315, 459, 21623, 311, 1862, 279, 50150, 24384, 11049, 1418, 5496, 304, 264, 3070, 9349, 23756, 13, 1226, 9395, 311, 10765, 279, 1401, 24717, 320, 68, 1326, 2637, 50150, 42111, 43129, 1664, 33851, 11, 7446, 8631, 1105, 11, 23756, 5687, 14765, 8, 315, 2349, 430, 1053, 1862, 64186, 304, 420, 2317, 555, 26984, 7446, 828, 505, 27698, 11, 5496, 304, 3070, 9349, 52888, 11, 9002, 872, 5912, 7640, 11, 872, 11, 323, 872, 2911, 753, 42111, 37612, 41964, 1664, 33851, 11, 323, 26617, 50150, 24384, 27460, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 37707, 12, 975, 5029, 25, 3580, 22208, 220, 975, 17783, 304, 420, 3566, 2816, 627, 1688, 420, 1486, 279, 19983, 315, 432, 65, 4044, 284, 34688, 4044, 284, 220, 15, 13, 2636, 26, 520, 4376, 2324, 284, 220, 17, 13, 410, 11, 432, 65, 4044, 284, 220, 914, 4, 323, 34688, 4044, 284, 220, 2075, 13689, 323, 779, 389, 13, 220, 9263, 11, 4610, 1494, 1565, 11, 10170, 323, 9420, 11346, 25, 21387, 527, 4529, 505, 1521, 37033, 323, 264, 7234, 315, 19983, 34688, 12, 4044, 11628, 81, 12, 4218, 320, 300, 6141, 3357, 8, 6296, 13, 1102, 10800, 704, 311, 387, 264, 7833, 1584, 449, 264, 31332, 315, 482, 16, 13, 410, 11829, 3392, 315, 610, 546, 2411, 12, 4218, 304, 264, 2728, 25107, 6205, 690, 539, 2349, 53407, 1348, 279, 8844, 15055, 315, 10485, 307, 2411, 12, 4044, 323, 610, 546, 2411, 12, 4044, 649, 387, 11075, 555, 37810, 872, 42338, 311, 610, 546, 2411, 12, 4218, 25, 432, 65, 12, 4044, 11628, 81, 12, 4218, 323, 34688, 4044, 11628, 81, 12, 4218, 1226, 6767, 279, 15055, 315, 10485, 307, 2411, 12, 4044, 323, 610, 546, 2411, 12, 4044, 439, 42338, 311, 459, 653, 52813, 2262, 315, 610, 546, 2411, 12, 4218, 1823, 6769, 315, 9063, 7323, 11, 279, 19983, 315, 10485, 307, 2411, 12, 4044, 43154, 505, 459, 2926, 907, 315, 220, 1041, 4, 520, 279, 892, 315, 18488, 315, 279, 25107, 11, 323, 20414, 7315, 449, 7859, 1396, 315, 4376, 6439, 627, 1688, 279, 1890, 892, 11, 279, 19983, 315, 610, 546, 2411, 12, 4044, 12992, 505, 7315, 323, 20414, 220, 1041, 4, 449, 7859, 1396, 315, 4376, 2922, 1924, 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 ]
[ 128000, 37707, 12, 975, 5029, 25, 3580, 22208, 220, 975, 17783, 304, 420, 3566, 2816, 627, 1688, 420, 1486, 279, 19983, 315, 432, 65, 4044, 284, 34688, 4044, 284, 220, 15, 13, 2636, 26, 520, 4376, 2324, 284, 220, 17, 13, 410, 11, 432, 65, 4044, 284, 220, 914, 4, 323, 34688, 4044, 284, 220, 2075, 13689, 323, 779, 389, 13, 220, 9263, 11, 4610, 1494, 1565, 11, 10170, 323, 9420, 11346, 25, 21387, 527, 4529, 505, 1521, 37033, 323, 264, 7234, 315, 19983, 34688, 12, 4044, 11628, 81, 12, 4218, 320, 300, 6141, 3357, 8, 6296, 13, 1102, 10800, 704, 311, 387, 264, 7833, 1584, 449, 264, 31332, 315, 482, 16, 13, 410, 11829, 3392, 315, 610, 546, 2411, 12, 4218, 304, 264, 2728, 25107, 6205, 690, 539, 2349, 53407, 1348, 279, 8844, 15055, 315, 10485, 307, 2411, 12, 4044, 323, 610, 546, 2411, 12, 4044, 649, 387, 11075, 555, 37810, 872, 42338, 311, 610, 546, 2411, 12, 4218, 25, 432, 65, 12, 4044, 11628, 81, 12, 4218, 323, 34688, 4044, 11628, 81, 12, 4218, 1226, 6767, 279, 15055, 315, 10485, 307, 2411, 12, 4044, 323, 610, 546, 2411, 12, 4044, 439, 42338, 311, 459, 653, 52813, 2262, 315, 610, 546, 2411, 12, 4218, 1823, 6769, 315, 9063, 7323, 11, 279, 19983, 315, 10485, 307, 2411, 12, 4044, 43154, 505, 459, 2926, 907, 315, 220, 1041, 4, 520, 279, 892, 315, 18488, 315, 279, 25107, 11, 323, 20414, 7315, 449, 7859, 1396, 315, 4376, 6439, 627, 1688, 279, 1890, 892, 11, 279, 19983, 315, 610, 546, 2411, 12, 4044, 12992, 505, 7315, 323, 20414, 220, 1041, 4, 449, 7859, 1396, 315, 4376, 2922, 1924, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 46237, 358, 12263, 46926, 439, 961, 315, 264, 44254, 46361, 505, 14043, 22462, 13, 1952, 7884, 220, 914, 6186, 11, 279, 1938, 1603, 5837, 81, 17528, 753, 6355, 12845, 11, 1403, 315, 603, 1051, 40510, 3403, 311, 16136, 304, 264, 7364, 315, 1063, 315, 279, 659, 12, 8629, 3876, 14726, 304, 46926, 7396, 555, 279, 4009, 22925, 10981, 369, 2052, 627, 8140, 1176, 3009, 574, 279, 3451, 47041, 10981, 27217, 529, 304, 4701, 3893, 1556, 82770, 462, 11, 779, 2663, 369, 1202, 3813, 1828, 311, 264, 40106, 13, 78811, 555, 264, 1912, 315, 2254, 3278, 304, 220, 679, 17, 11, 279, 22925, 10981, 27217, 6137, 555, 6376, 709, 43793, 555, 872, 2254, 49313, 323, 10371, 6444, 311, 33009, 3691, 11, 902, 814, 1053, 1243, 16822, 24392, 13, 4701, 3893, 1556, 82770, 462, 374, 459, 3158, 449, 264, 54182, 13076, 2385, 323, 264, 7187, 430, 47521, 449, 1579, 7969, 315, 26690, 323, 879, 93998, 2136, 13, 763, 34781, 315, 420, 11, 279, 3691, 4526, 574, 15453, 6992, 11, 449, 3544, 33776, 1694, 34468, 13, 4452, 11, 439, 279, 11501, 5655, 6901, 2768, 279, 2132, 82758, 24910, 3940, 3719, 59290, 13, 1102, 574, 520, 420, 1486, 430, 279, 1912, 6137, 311, 5371, 5217, 13291, 505, 22925, 10981, 369, 2052, 627, 47041, 10981, 369, 2052, 11, 459, 48998, 4009, 369, 264, 1396, 315, 659, 12, 8629, 3876, 14726, 11, 6137, 2324, 304, 4216, 42774, 220, 679, 17, 994, 5837, 81, 17528, 3549, 264, 44254, 3887, 704, 315, 279, 37532, 315, 872, 13945, 16689, 37761, 13, 4452, 11, 22925, 10981, 369, 2052, 374, 539, 16632, 264, 44254, 3887, 11, 6463, 374, 433, 6197, 477, 14400, 555, 5837, 81, 17528, 13, 1102, 14090, 6866, 311, 1862, 323, 16580, 279, 927, 220, 3443, 44254, 14726, 430, 617, 22763, 304, 25431, 2391, 279, 11501, 13, 578, 14726, 5694, 14264, 704, 315, 279, 7351, 315, 279, 32440, 304, 279, 7474, 315, 220, 679, 16, 323, 617, 35363, 872, 7829, 315, 5597, 28846, 555, 5526, 14956, 13, 2684, 527, 44254, 28271, 88171, 2212, 2890, 11, 6873, 11, 3691, 11, 13042, 7640, 11, 5897, 1862, 11, 439, 1664, 439, 3451, 30096, 6278, 5794, 14488, 529, 430, 1893, 2167, 7902, 1990, 29149, 24190, 323, 16036, 13723, 11, 323, 7487, 1080, 59655, 5983, 1778, 439, 279, 650, 3895, 1345, 36, 8803, 304, 666, 434, 44711, 7723, 627, 644, 279, 1403, 1667, 2533, 1202, 16665, 11, 279, 22925, 10981, 27217, 706, 539, 1193, 9152, 311, 5376, 1202, 17575, 315, 3691, 311, 279, 4029, 11, 433, 706, 1101, 17626, 1139, 1023, 5789, 13, 2435, 1457, 71040, 13042, 7640, 1778, 439, 18872, 304, 15612, 323, 4731, 11, 439, 1664, 439, 6498, 323, 8753, 13, 2435, 527, 27989, 311, 2686, 279, 24064, 323, 7106, 6372, 315, 279, 82758, 389, 279, 2254, 7187, 26, 439, 1664, 439, 8405, 3691, 814, 71040, 1912, 15419, 311, 5663, 533, 10723, 2890, 5435, 1778, 439, 18710, 11, 902, 617, 3719, 15098, 24716, 627, 791, 22925, 10981, 27217, 23872, 584, 12570, 311, 1051, 27989, 311, 20654, 1082, 279, 5054, 3752, 315, 872, 990, 13, 11205, 16312, 1169, 11, 25548, 369, 603, 555, 832, 315, 872, 3697, 11, 16964, 1124, 439, 3451, 12821, 63784, 889, 617, 6773, 311, 656, 2555, 922, 279, 11501, 20182, 2133, 389, 311, 836, 279, 82758, 439, 279, 17139, 5353, 315, 279, 11501, 814, 6056, 311, 2686, 13, 2435, 15253, 279, 3932, 315, 279, 12541, 311, 1781, 315, 5694, 539, 439, 28979, 34876, 315, 264, 2532, 11, 719, 439, 4642, 3697, 315, 279, 12541, 449, 264, 18783, 304, 1202, 7640, 323, 5597, 3339, 13, 7648, 315, 1884, 889, 6667, 3691, 323, 16136, 304, 6989, 520, 279, 3451, 47041, 10981, 27217, 529, 3719, 22815, 6532, 304, 279, 4401, 315, 433, 11, 323, 11429, 527, 1903, 555, 5912, 26623, 62407, 16239, 2225, 23872, 323, 2532, 3932, 627, 6153, 8369, 1695, 1729, 288, 505, 279, 22925, 10981, 27217, 11, 584, 19946, 311, 264, 3674, 28913, 304, 4275, 64, 16807, 329, 491, 68, 689, 13, 578, 28913, 5196, 574, 18538, 304, 6250, 220, 679, 19, 555, 264, 2678, 1912, 315, 26202, 16410, 11, 719, 1202, 20282, 11203, 304, 264, 2254, 14956, 6070, 430, 22763, 2391, 279, 220, 679, 16, 7351, 315, 13957, 311, 279, 2132, 82758, 13, 1676, 285, 23109, 1609, 285, 11, 264, 220, 966, 1060, 2362, 6593, 19560, 889, 23872, 520, 279, 28913, 11, 33740, 279, 2317, 304, 902, 279, 20770, 6137, 13, 24191, 315, 25431, 753, 6156, 2512, 17575, 706, 1027, 6223, 3689, 291, 323, 279, 1614, 3600, 430, 7293, 527, 27076, 2740, 1234, 69, 37153, 13, 58752, 449, 279, 8244, 18174, 304, 5496, 10886, 9124, 555, 61630, 11, 420, 706, 3549, 264, 34734, 2890, 11501, 304, 25431, 13, 88911, 1245, 19338, 1778, 439, 88234, 323, 69263, 11, 902, 304, 279, 1667, 1603, 279, 11501, 1051, 1317, 69918, 11, 617, 1903, 264, 471, 13, 1556, 13240, 220, 16, 13, 20, 3610, 18341, 10495, 11, 11093, 449, 682, 32087, 2085, 33779, 11, 527, 2085, 2890, 8276, 627, 791, 3674, 28913, 32839, 220, 868, 1274, 264, 1938, 11, 8405, 264, 8205, 315, 6156, 2512, 3600, 13, 1102, 374, 11622, 26202, 1629, 26, 279, 4857, 5196, 574, 20968, 555, 23872, 323, 682, 279, 14891, 374, 34468, 13, 9086, 279, 22925, 10981, 27217, 11, 433, 374, 14400, 12345, 7167, 555, 5912, 62407, 304, 902, 2225, 23872, 323, 2532, 3932, 16136, 13, 88690, 28951, 69298, 2192, 283, 11497, 430, 6574, 279, 14247, 6593, 3966, 315, 279, 4029, 374, 1120, 832, 13189, 315, 279, 28913, 753, 990, 26, 279, 1023, 18813, 3062, 3777, 315, 872, 5820, 374, 25917, 59401, 3876, 13, 13266, 889, 4034, 279, 28913, 527, 21190, 311, 3719, 4642, 13324, 304, 279, 3674, 19567, 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 ]
[ 128000, 46237, 358, 12263, 46926, 439, 961, 315, 264, 44254, 46361, 505, 14043, 22462, 13, 1952, 7884, 220, 914, 6186, 11, 279, 1938, 1603, 5837, 81, 17528, 753, 6355, 12845, 11, 1403, 315, 603, 1051, 40510, 3403, 311, 16136, 304, 264, 7364, 315, 1063, 315, 279, 659, 12, 8629, 3876, 14726, 304, 46926, 7396, 555, 279, 4009, 22925, 10981, 369, 2052, 627, 8140, 1176, 3009, 574, 279, 3451, 47041, 10981, 27217, 529, 304, 4701, 3893, 1556, 82770, 462, 11, 779, 2663, 369, 1202, 3813, 1828, 311, 264, 40106, 13, 78811, 555, 264, 1912, 315, 2254, 3278, 304, 220, 679, 17, 11, 279, 22925, 10981, 27217, 6137, 555, 6376, 709, 43793, 555, 872, 2254, 49313, 323, 10371, 6444, 311, 33009, 3691, 11, 902, 814, 1053, 1243, 16822, 24392, 13, 4701, 3893, 1556, 82770, 462, 374, 459, 3158, 449, 264, 54182, 13076, 2385, 323, 264, 7187, 430, 47521, 449, 1579, 7969, 315, 26690, 323, 879, 93998, 2136, 13, 763, 34781, 315, 420, 11, 279, 3691, 4526, 574, 15453, 6992, 11, 449, 3544, 33776, 1694, 34468, 13, 4452, 11, 439, 279, 11501, 5655, 6901, 2768, 279, 2132, 82758, 24910, 3940, 3719, 59290, 13, 1102, 574, 520, 420, 1486, 430, 279, 1912, 6137, 311, 5371, 5217, 13291, 505, 22925, 10981, 369, 2052, 627, 47041, 10981, 369, 2052, 11, 459, 48998, 4009, 369, 264, 1396, 315, 659, 12, 8629, 3876, 14726, 11, 6137, 2324, 304, 4216, 42774, 220, 679, 17, 994, 5837, 81, 17528, 3549, 264, 44254, 3887, 704, 315, 279, 37532, 315, 872, 13945, 16689, 37761, 13, 4452, 11, 22925, 10981, 369, 2052, 374, 539, 16632, 264, 44254, 3887, 11, 6463, 374, 433, 6197, 477, 14400, 555, 5837, 81, 17528, 13, 1102, 14090, 6866, 311, 1862, 323, 16580, 279, 927, 220, 3443, 44254, 14726, 430, 617, 22763, 304, 25431, 2391, 279, 11501, 13, 578, 14726, 5694, 14264, 704, 315, 279, 7351, 315, 279, 32440, 304, 279, 7474, 315, 220, 679, 16, 323, 617, 35363, 872, 7829, 315, 5597, 28846, 555, 5526, 14956, 13, 2684, 527, 44254, 28271, 88171, 2212, 2890, 11, 6873, 11, 3691, 11, 13042, 7640, 11, 5897, 1862, 11, 439, 1664, 439, 3451, 30096, 6278, 5794, 14488, 529, 430, 1893, 2167, 7902, 1990, 29149, 24190, 323, 16036, 13723, 11, 323, 7487, 1080, 59655, 5983, 1778, 439, 279, 650, 3895, 1345, 36, 8803, 304, 666, 434, 44711, 7723, 627, 644, 279, 1403, 1667, 2533, 1202, 16665, 11, 279, 22925, 10981, 27217, 706, 539, 1193, 9152, 311, 5376, 1202, 17575, 315, 3691, 311, 279, 4029, 11, 433, 706, 1101, 17626, 1139, 1023, 5789, 13, 2435, 1457, 71040, 13042, 7640, 1778, 439, 18872, 304, 15612, 323, 4731, 11, 439, 1664, 439, 6498, 323, 8753, 13, 2435, 527, 27989, 311, 2686, 279, 24064, 323, 7106, 6372, 315, 279, 82758, 389, 279, 2254, 7187, 26, 439, 1664, 439, 8405, 3691, 814, 71040, 1912, 15419, 311, 5663, 533, 10723, 2890, 5435, 1778, 439, 18710, 11, 902, 617, 3719, 15098, 24716, 627, 791, 22925, 10981, 27217, 23872, 584, 12570, 311, 1051, 27989, 311, 20654, 1082, 279, 5054, 3752, 315, 872, 990, 13, 11205, 16312, 1169, 11, 25548, 369, 603, 555, 832, 315, 872, 3697, 11, 16964, 1124, 439, 3451, 12821, 63784, 889, 617, 6773, 311, 656, 2555, 922, 279, 11501, 20182, 2133, 389, 311, 836, 279, 82758, 439, 279, 17139, 5353, 315, 279, 11501, 814, 6056, 311, 2686, 13, 2435, 15253, 279, 3932, 315, 279, 12541, 311, 1781, 315, 5694, 539, 439, 28979, 34876, 315, 264, 2532, 11, 719, 439, 4642, 3697, 315, 279, 12541, 449, 264, 18783, 304, 1202, 7640, 323, 5597, 3339, 13, 7648, 315, 1884, 889, 6667, 3691, 323, 16136, 304, 6989, 520, 279, 3451, 47041, 10981, 27217, 529, 3719, 22815, 6532, 304, 279, 4401, 315, 433, 11, 323, 11429, 527, 1903, 555, 5912, 26623, 62407, 16239, 2225, 23872, 323, 2532, 3932, 627, 6153, 8369, 1695, 1729, 288, 505, 279, 22925, 10981, 27217, 11, 584, 19946, 311, 264, 3674, 28913, 304, 4275, 64, 16807, 329, 491, 68, 689, 13, 578, 28913, 5196, 574, 18538, 304, 6250, 220, 679, 19, 555, 264, 2678, 1912, 315, 26202, 16410, 11, 719, 1202, 20282, 11203, 304, 264, 2254, 14956, 6070, 430, 22763, 2391, 279, 220, 679, 16, 7351, 315, 13957, 311, 279, 2132, 82758, 13, 1676, 285, 23109, 1609, 285, 11, 264, 220, 966, 1060, 2362, 6593, 19560, 889, 23872, 520, 279, 28913, 11, 33740, 279, 2317, 304, 902, 279, 20770, 6137, 13, 24191, 315, 25431, 753, 6156, 2512, 17575, 706, 1027, 6223, 3689, 291, 323, 279, 1614, 3600, 430, 7293, 527, 27076, 2740, 1234, 69, 37153, 13, 58752, 449, 279, 8244, 18174, 304, 5496, 10886, 9124, 555, 61630, 11, 420, 706, 3549, 264, 34734, 2890, 11501, 304, 25431, 13, 88911, 1245, 19338, 1778, 439, 88234, 323, 69263, 11, 902, 304, 279, 1667, 1603, 279, 11501, 1051, 1317, 69918, 11, 617, 1903, 264, 471, 13, 1556, 13240, 220, 16, 13, 20, 3610, 18341, 10495, 11, 11093, 449, 682, 32087, 2085, 33779, 11, 527, 2085, 2890, 8276, 627, 791, 3674, 28913, 32839, 220, 868, 1274, 264, 1938, 11, 8405, 264, 8205, 315, 6156, 2512, 3600, 13, 1102, 374, 11622, 26202, 1629, 26, 279, 4857, 5196, 574, 20968, 555, 23872, 323, 682, 279, 14891, 374, 34468, 13, 9086, 279, 22925, 10981, 27217, 11, 433, 374, 14400, 12345, 7167, 555, 5912, 62407, 304, 902, 2225, 23872, 323, 2532, 3932, 16136, 13, 88690, 28951, 69298, 2192, 283, 11497, 430, 6574, 279, 14247, 6593, 3966, 315, 279, 4029, 374, 1120, 832, 13189, 315, 279, 28913, 753, 990, 26, 279, 1023, 18813, 3062, 3777, 315, 872, 5820, 374, 25917, 59401, 3876, 13, 13266, 889, 4034, 279, 28913, 527, 21190, 311, 3719, 4642, 13324, 304, 279, 3674, 19567, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 27, 876, 1284, 1590, 29, 16, 12, 605, 198, 313, 10238, 25, 510, 40, 972, 45, 60, 1501, 4631, 367, 3250, 956, 1862, 18797, 449, 330, 17666, 367, 15993, 3528, 4631, 367, 1405, 11878, 1151, 4867, 23, 1025, 3528, 4631, 367, 1405, 5918, 1265, 1151, 9642, 1025, 3528, 4631, 367, 1405, 78588, 1151, 2822, 1025, 3528, 4631, 367, 1405, 8333, 1151, 2688, 8581, 2412, 313, 5428, 449, 364, 17666, 367, 1270, 3528, 4631, 367, 1405, 4631, 367, 1151, 4867, 23, 22569, 1025, 3528, 4631, 367, 1405, 4631, 367, 1093, 7832, 1658, 4, 1025, 3528, 4631, 367, 1405, 4631, 367, 304, 4417, 15782, 19445, 5925, 6337, 44614, 518, 364, 4867, 23, 42637, 14548, 23734, 518, 364, 4867, 23, 4803, 78, 36472, 1177, 3528, 4631, 367, 1405, 4631, 367, 374, 539, 854, 280, 3528, 4631, 367, 1405, 4631, 367, 284, 904, 13922, 68, 1983, 81, 22569, 518, 364, 4867, 23, 5487, 64, 14548, 16855, 76, 518, 364, 4867, 23, 89780, 14548, 36955, 3528, 4631, 367, 1405, 4631, 367, 1990, 364, 68, 6, 323, 364, 84, 21366, 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 ]
[ 128000, 27, 876, 1284, 1590, 29, 16, 12, 605, 198, 313, 10238, 25, 510, 40, 972, 45, 60, 1501, 4631, 367, 3250, 956, 1862, 18797, 449, 330, 17666, 367, 15993, 3528, 4631, 367, 1405, 11878, 1151, 4867, 23, 1025, 3528, 4631, 367, 1405, 5918, 1265, 1151, 9642, 1025, 3528, 4631, 367, 1405, 78588, 1151, 2822, 1025, 3528, 4631, 367, 1405, 8333, 1151, 2688, 8581, 2412, 313, 5428, 449, 364, 17666, 367, 1270, 3528, 4631, 367, 1405, 4631, 367, 1151, 4867, 23, 22569, 1025, 3528, 4631, 367, 1405, 4631, 367, 1093, 7832, 1658, 4, 1025, 3528, 4631, 367, 1405, 4631, 367, 304, 4417, 15782, 19445, 5925, 6337, 44614, 518, 364, 4867, 23, 42637, 14548, 23734, 518, 364, 4867, 23, 4803, 78, 36472, 1177, 3528, 4631, 367, 1405, 4631, 367, 374, 539, 854, 280, 3528, 4631, 367, 1405, 4631, 367, 284, 904, 13922, 68, 1983, 81, 22569, 518, 364, 4867, 23, 5487, 64, 14548, 16855, 76, 518, 364, 4867, 23, 89780, 14548, 36955, 3528, 4631, 367, 1405, 4631, 367, 1990, 364, 68, 6, 323, 364, 84, 21366, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 19182, 682, 11, 4934, 311, 1304, 264, 10430, 369, 1274, 889, 1390, 311, 636, 1139, 3339, 9722, 13, 358, 7182, 1053, 1093, 311, 1304, 264, 9722, 1606, 358, 3021, 14654, 38669, 323, 3339, 2574, 449, 856, 6206, 13, 36530, 6725, 3727, 4832, 719, 279, 6848, 6222, 1618, 690, 520, 3325, 636, 1274, 3940, 627, 43346, 30881, 198, 11649, 1664, 11, 1427, 520, 1148, 3169, 315, 8712, 584, 617, 1618, 90578, 40, 4805, 9846, 304, 856, 1403, 31291, 11, 323, 4822, 389, 8712, 4619, 315, 18302, 9894, 1093, 358, 14614, 656, 627, 40, 649, 3041, 832, 6573, 2766, 315, 9650, 311, 5606, 430, 6944, 311, 1456, 3339, 30881, 25, 3041, 433, 264, 1456, 11, 719, 2744, 6227, 3249, 499, 4934, 311, 1212, 304, 279, 1176, 2035, 13, 4427, 1274, 7940, 1139, 9722, 3339, 449, 279, 4623, 311, 1977, 264, 2883, 11, 636, 872, 836, 704, 1070, 11, 323, 1054, 7072, 433, 2466, 11453, 1628, 433, 753, 1695, 311, 617, 9021, 369, 6261, 11, 719, 1541, 1431, 1095, 433, 8657, 82615, 499, 323, 2543, 2555, 2523, 1139, 2555, 259, 6322, 323, 41630, 13, 1102, 5039, 304, 279, 30881, 11, 1935, 892, 311, 1456, 2574, 704, 323, 4048, 72859, 627, 2460, 279, 32874, 499, 1205, 369, 9722, 3339, 527, 2736, 704, 1070, 13, 33021, 90719, 323, 38403, 690, 1501, 499, 279, 1853, 499, 1288, 1212, 389, 13, 20696, 775, 499, 4805, 617, 311, 9526, 449, 13, 2684, 753, 912, 11682, 304, 11821, 279, 32874, 1618, 13, 4740, 682, 11, 264, 4367, 9722, 8638, 449, 3217, 323, 892, 627, 53, 1994, 261, 26839, 8638, 520, 220, 16, 14, 2983, 15271, 13, 19575, 704, 65355, 323, 59884, 12562, 439, 499, 2567, 3339, 21126, 627, 32641, 361, 955, 3250, 1431, 2216, 5030, 11, 439, 1317, 439, 433, 753, 1063, 1695, 4367, 38561, 477, 97744, 323, 499, 11203, 433, 15792, 323, 1095, 433, 27208, 12722, 11, 499, 4805, 617, 7091, 6573, 30881, 627, 29690, 311, 5425, 2320, 398, 701, 30881, 13, 1472, 4805, 7216, 704, 1268, 1317, 499, 1288, 1095, 701, 9722, 2503, 304, 279, 29561, 1603, 499, 649, 2486, 820, 433, 439, 499, 636, 810, 10882, 449, 701, 38561, 627, 2059, 14550, 323, 52662, 2586, 505, 3217, 13, 12040, 279, 892, 311, 4048, 1268, 311, 6211, 264, 9722, 449, 1120, 9462, 19716, 13, 4418, 1431, 733, 7833, 8469, 323, 1005, 1063, 3361, 30158, 3896, 13, 1472, 2834, 1431, 52122, 279, 7512, 499, 4805, 1205, 13, 358, 4070, 9687, 1148, 3169, 315, 4580, 21483, 358, 1093, 1120, 555, 64793, 14550, 2362, 30881, 449, 9462, 19716, 13, 47893, 323, 1304, 502, 6392, 4999, 81586, 11, 499, 4805, 1205, 264, 220, 16, 14, 845, 339, 17560, 31646, 2766, 369, 3339, 279, 34739, 20349, 13, 7199, 2212, 449, 1023, 2766, 12562, 477, 1524, 2204, 7526, 369, 32632, 16113, 13, 2468, 279, 8187, 11, 264, 220, 16, 14, 23, 339, 31646, 2766, 690, 8854, 499, 7060, 369, 32632, 15872, 627, 40, 1541, 1431, 1866, 264, 2883, 477, 4205, 719, 358, 4070, 6476, 2212, 264, 2763, 449, 3339, 856, 1866, 6392, 13, 20474, 11, 682, 279, 32874, 527, 704, 1070, 2736, 11, 433, 753, 709, 311, 499, 311, 7216, 704, 1268, 311, 1304, 701, 30881, 2559, 704, 24059, 279, 3885, 627, 12947, 369, 279, 11190, 20616, 0, 63647, 358, 617, 7111, 1139, 682, 279, 6913, 6392, 389, 13674, 13, 4702, 3463, 279, 4617, 1053, 387, 2294, 369, 1274, 311, 3137, 449, 1855, 1023, 323, 2610, 4860, 13, 358, 1518, 3339, 30881, 439, 264, 11782, 27487, 369, 1884, 889, 3021, 311, 1304, 2574, 449, 872, 6206, 13, 3277, 358, 2751, 856, 1176, 99082, 439, 264, 10585, 358, 57636, 315, 1694, 3025, 311, 1304, 433, 449, 856, 6206, 832, 1938, 13, 6104, 1202, 8659, 36861, 481, 11, 3339, 14654, 19826, 289, 11206, 387, 1120, 439, 2523, 627, 40, 2733, 499, 893, 13, 362, 9722, 34558, 505, 701, 1866, 6206, 11321, 779, 1790, 2731, 311, 12141, 13, 1102, 753, 264, 43715, 2515, 719, 358, 1781, 1606, 315, 682, 279, 892, 499, 8493, 4832, 287, 433, 11, 499, 2216, 1212, 311, 3619, 1148, 3169, 315, 4580, 499, 4070, 1903, 323, 1268, 433, 11321, 13, 1472, 2216, 11245, 320, 6518, 1093, 9462, 8, 704, 279, 41859, 311, 1304, 433, 2555, 430, 499, 1053, 387, 12691, 311, 539, 1193, 12141, 719, 1501, 311, 279, 1917, 13, 1442, 499, 1205, 4205, 775, 11, 2733, 1949, 311, 2610, 4999, 26840, 12738, 893, 0, 1472, 1071, 433, 682, 13, 358, 4344, 2133, 311, 1456, 311, 1304, 1063, 21126, 1063, 892, 5246, 198, 11116, 627, 12947, 369, 279, 3962, 13, 366, 18, 198, 28205, 1873, 13, 10919, 13, 7281, 1873, 13, 763, 4892, 5270, 1314, 1457, 584, 527, 9298, 459, 14560, 10205, 304, 279, 23354, 315, 14654, 38669, 13, 3161, 430, 1070, 1101, 4131, 264, 3544, 12330, 315, 1054, 65851, 863, 430, 9539, 617, 1120, 11021, 279, 43149, 98834, 14, 1055, 68, 388, 48147, 1981, 323, 7214, 617, 3940, 17437, 872, 1176, 2478, 30881, 369, 6412, 389, 52104, 13, 358, 1781, 922, 1268, 1790, 6725, 323, 892, 358, 29091, 304, 74285, 856, 1866, 5528, 323, 358, 3460, 315, 1589, 18177, 994, 358, 1518, 1274, 17437, 30881, 430, 527, 61437, 11, 31555, 68865, 323, 1524, 87312, 13, 9176, 733, 779, 3117, 439, 311, 1893, 872, 3997, 11, 923, 27873, 7729, 323, 9167, 1431, 1524, 1903, 264, 3254, 9722, 3686, 13, 2057, 757, 11, 420, 3169, 315, 3245, 44164, 14654, 38669, 810, 1109, 433, 8779, 13, 65057, 279, 5915, 374, 311, 617, 8996, 3169, 315, 2027, 369, 6412, 439, 5043, 439, 3284, 311, 8515, 304, 449, 912, 4747, 922, 279, 6372, 433, 374, 3515, 389, 279, 2466, 6945, 13, 42669, 11, 15851, 315, 701, 34334, 449, 9722, 28936, 499, 1288, 2744, 6725, 2294, 30401, 13, 12334, 1695, 3596, 4131, 505, 38117, 704, 36650, 13, 7429, 11, 279, 1888, 53862, 2744, 2586, 994, 1070, 374, 2294, 3021, 4920, 433, 13, 1102, 753, 8965, 4382, 369, 1274, 311, 1518, 994, 4423, 374, 1139, 2555, 1120, 311, 8515, 304, 13, 4060, 1752, 11336, 14236, 389, 872, 6732, 11, 11210, 17895, 5238, 1603, 1054, 13787, 16, 9520, 1054, 15346, 358, 1304, 11, 690, 499, 3780, 12671, 1798, 64, 8158, 5099, 1981, 63647, 11, 1102, 374, 3021, 430, 20722, 757, 311, 2567, 6968, 13, 2876, 4754, 18160, 12195, 13, 3092, 9647, 374, 430, 422, 810, 6222, 430, 8430, 584, 1053, 1518, 1524, 810, 2294, 6848, 323, 19297, 4619, 315, 9298, 220, 1135, 1274, 3815, 279, 4839, 1890, 3245, 927, 323, 927, 13, 7281, 1873, 13, 10919, 13, 7281, 1873, 13, 1442, 499, 1120, 1935, 701, 892, 323, 387, 6261, 433, 690, 1501, 304, 701, 990, 13, 3011, 374, 1148, 3727, 433, 1054, 22479, 990, 89874, 2173, 3388, 420, 374, 1120, 856, 9647, 323, 810, 315, 459, 85339, 323, 539, 9722, 28936, 9650, 719, 358, 4805, 71950, 17210, 1148, 20616, 323, 6677, 358, 649, 311, 279, 12111, 994, 433, 4131, 311, 430, 3169, 315, 3245, 627, 72, 617, 264, 9722, 3339, 3488, 25, 1587, 5127, 2216, 5425, 39673, 30, 358, 636, 3249, 433, 753, 2884, 449, 43878, 19826, 11, 719, 14654, 19826, 20781, 636, 904, 6129, 5882, 323, 602, 2744, 617, 279, 8430, 279, 2477, 374, 2731, 449, 279, 24875, 682, 2133, 832, 5216, 90578, 8780, 18463, 76460, 232, 5380, 40, 2744, 5425, 39673, 13, 1102, 11621, 8333, 311, 279, 9722, 13, 1102, 2744, 3727, 757, 1589, 18177, 994, 358, 1518, 4423, 1005, 682, 3160, 4583, 39673, 82, 13, 54270, 7732, 374, 1101, 1903, 430, 1648, 11, 323, 433, 4536, 1431, 1120, 1606, 814, 4934, 832, 24875, 311, 733, 420, 1648, 11, 323, 279, 1828, 39673, 311, 617, 279, 24875, 2133, 279, 1023, 1648, 369, 5992, 627, 31, 26353, 37, 1553, 9930, 499, 369, 420, 0, 1102, 374, 8659, 10186, 994, 1274, 527, 1120, 304, 433, 369, 279, 3300, 323, 5357, 389, 75873, 5908, 4619, 315, 4367, 13, 63647, 358, 1053, 1390, 311, 1893, 30881, 304, 279, 1455, 22556, 1648, 13, 358, 1053, 387, 7649, 704, 628, 552, 1023, 1109, 55480, 430, 1541, 1431, 617, 439, 1790, 5536, 389, 279, 4676, 13, 358, 3131, 1047, 264, 99082, 449, 264, 59982, 1948, 2320, 398, 13, 6104, 433, 374, 810, 11646, 433, 1053, 387, 5922, 3411, 1139, 323, 7649, 1268, 433, 1436, 15025, 311, 14654, 38669, 13, 358, 12491, 311, 387, 41421, 52221, 779, 1475, 9722, 358, 1304, 690, 387, 1903, 449, 264, 2763, 315, 892, 323, 3021, 13, 25274, 264, 2865, 315, 30881, 323, 4832, 287, 701, 11003, 5097, 47891, 927, 6041, 264, 2883, 627, 19182, 893, 0, 4718, 21126, 527, 1633, 1664, 3967, 323, 10456, 779, 422, 1202, 3318, 369, 499, 1120, 2567, 7091, 258, 529, 0, 1789, 1148, 358, 1304, 358, 2744, 1005, 5425, 628, 552, 439, 433, 6835, 757, 279, 13552, 19025, 323, 2477, 430, 358, 1097, 3411, 311, 11322, 13, 358, 1101, 990, 304, 9193, 9439, 20472, 369, 220, 21, 4038, 704, 315, 279, 1060, 323, 358, 8659, 636, 2753, 4208, 2964, 902, 374, 2555, 358, 649, 1431, 2559, 13, 358, 1518, 264, 2763, 315, 30881, 449, 5425, 628, 552, 389, 279, 1948, 323, 5740, 3582, 13, 2684, 374, 5042, 912, 8333, 1070, 13, 36625, 422, 279, 6278, 39673, 374, 5425, 439, 1664, 13, 3011, 374, 1148, 358, 1650, 264, 1054, 9810, 3183, 113068, 6854, 1431, 3868, 311, 1518, 701, 502, 990, 36157, 4999, 40, 1456, 311, 1893, 304, 439, 22556, 264, 11827, 439, 3284, 2288, 719, 55480, 374, 2555, 358, 17631, 389, 304, 264, 6129, 1648, 13, 358, 4344, 2771, 1023, 2653, 33633, 990, 1120, 439, 1695, 719, 358, 1120, 1005, 856, 55480, 66713, 323, 12571, 1633, 2697, 315, 1148, 358, 617, 13, 7648, 315, 1148, 358, 1005, 527, 92885, 505, 264, 2606, 358, 617, 25559, 323, 8813, 459, 9306, 449, 13, 15636, 358, 1005, 279, 2678, 45379, 82, 315, 66085, 77851, 388, 430, 1053, 14614, 387, 14763, 13, 49522, 4536, 1431, 1695, 13, 1115, 374, 8659, 832, 315, 279, 2574, 430, 82454, 757, 922, 264, 3738, 11, 5526, 11, 12466, 29561, 1694, 13882, 1511, 1314, 1457, 13, 578, 77851, 261, 374, 48715, 779, 2466, 430, 499, 1436, 4661, 1304, 220, 17, 30881, 704, 315, 433, 304, 264, 6300, 6721, 29561, 13, 3011, 3460, 315, 12571, 374, 82454, 638, 719, 358, 8101, 539, 369, 5127, 13, 1472, 2873, 311, 617, 264, 2294, 19451, 922, 3339, 21126, 893, 11, 2744, 1695, 311, 1518, 430, 4999, 40, 1440, 48923, 14722, 1511, 311, 539, 5425, 2320, 398, 3156, 36769, 9509, 3940, 311, 15253, 1461, 311, 13, 11511, 281, 6852, 706, 3719, 279, 5410, 369, 1690, 1274, 323, 1690, 1684, 433, 439, 19077, 9722, 3339, 422, 499, 1541, 1431, 13, 5112, 1578, 499, 4070, 1903, 779, 1690, 8056, 30881, 449, 701, 6206, 779, 499, 617, 701, 33811, 369, 539, 5425, 281, 6852, 13, 358, 1781, 430, 3515, 682, 279, 24875, 1629, 304, 279, 1890, 5216, 6276, 433, 311, 5882, 42147, 902, 48018, 311, 264, 2731, 8430, 2477, 30, 6104, 358, 7070, 3021, 311, 539, 617, 311, 3568, 449, 3515, 311, 4018, 856, 77851, 261, 304, 1403, 2204, 18445, 11, 5425, 281, 6852, 1587, 1304, 369, 264, 16643, 9722, 627, 12947, 369, 701, 11555, 389, 420, 8712, 3001, 358, 1511, 311, 656, 5425, 39673, 82, 3156, 602, 41193, 430, 602, 1193, 656, 433, 1606, 814, 656, 433, 304, 43878, 38669, 13, 358, 2216, 48707, 1518, 3249, 433, 1288, 387, 279, 1890, 369, 14654, 38669, 11, 5423, 2533, 1202, 220, 1644, 3906, 7029, 323, 279, 8603, 527, 17832, 1981, 602, 1903, 264, 2478, 30881, 505, 279, 1890, 77851, 261, 11, 1120, 220, 20, 39673, 82, 682, 55480, 11, 449, 2225, 5528, 13, 1789, 757, 602, 1766, 430, 279, 21126, 449, 682, 3160, 4583, 77851, 388, 1051, 16643, 323, 1047, 2731, 2477, 13, 10926, 1202, 279, 38561, 323, 66157, 7410, 430, 1903, 1124, 2204, 369, 757, 11, 264, 2763, 315, 9547, 2133, 1139, 433, 63450, 90578, 4516, 16089, 499, 1903, 420, 8712, 11, 358, 9167, 1431, 1903, 30881, 2533, 279, 7732, 14, 1320, 29561, 2919, 719, 358, 2103, 617, 264, 8941, 315, 77851, 261, 779, 358, 4070, 1027, 2216, 7422, 922, 3794, 264, 6300, 29561, 13, 358, 1541, 1431, 2512, 922, 3339, 264, 2883, 11, 358, 617, 2744, 1903, 30881, 369, 7182, 323, 4885, 477, 279, 10535, 6696, 1618, 323, 1070, 13, 63647, 358, 1511, 311, 5425, 39673, 32227, 1606, 315, 99082, 15266, 627, 791, 1888, 3411, 51370, 82, 602, 4070, 3970, 2212, 527, 60797, 8002, 1619, 323, 1427, 311, 387, 1903, 704, 315, 71404, 477, 46964, 955, 37182, 13, 452, 16606, 98834, 2873, 311, 387, 5526, 50790, 505, 52104, 719, 358, 2733, 1093, 430, 73222, 51370, 82, 527, 16926, 387, 264, 2766, 2288, 4528, 311, 832, 2500, 323, 400, 5154, 369, 264, 51370, 374, 5084, 1648, 311, 11646, 627, 40, 5602, 11291, 753, 1772, 389, 52104, 279, 1023, 1938, 922, 813, 16844, 432, 29561, 482, 420, 5084, 1093, 264, 1695, 1749, 311, 636, 264, 12136, 323, 12309, 4228, 311, 2587, 1082, 51370, 1389, 358, 1781, 420, 374, 4762, 1148, 358, 690, 1456, 439, 358, 1097, 3794, 912, 31737, 505, 60797, 8002, 258, 1705, 922, 6968, 264, 51370, 627, 39115, 41136, 11190, 11, 5127, 775, 374, 1120, 7556, 922, 30401, 323, 6725, 323, 1148, 1962, 1981, 499, 649, 1431, 6725, 422, 499, 1541, 1431, 617, 264, 15326, 51370, 779, 7344, 499, 10534, 9722, 29414, 1436, 3041, 1063, 20616, 1139, 430, 4587, 5380, 2520, 757, 279, 30689, 5627, 311, 1304, 264, 1695, 11, 1317, 29869, 36433, 29561, 1511, 311, 387, 1701, 264, 6710, 315, 9501, 30280, 1139, 279, 6211, 499, 1390, 323, 1701, 1841, 11049, 78, 311, 3048, 430, 6211, 13, 578, 24537, 78, 2653, 729, 2216, 1664, 323, 279, 29561, 649, 51571, 264, 2763, 315, 7410, 627, 3947, 527, 1063, 15326, 44912, 704, 1070, 25, 320, 48574, 831, 309, 374, 264, 1695, 4623, 311, 1304, 264, 8389, 340, 81655, 315, 2204, 51370, 82, 499, 649, 5268, 505, 369, 6725, 477, 4443, 1005, 893, 13, 1102, 753, 994, 499, 1390, 311, 1304, 279, 3480, 311, 11486, 30881, 430, 358, 2744, 4284, 264, 6300, 463, 51370, 13, 1442, 499, 30730, 389, 10671, 264, 2883, 1243, 264, 8002, 1619, 9501, 29561, 374, 2103, 279, 1193, 1648, 311, 733, 13, 452, 16606, 51370, 82, 527, 90466, 1695, 323, 422, 499, 1440, 7041, 1148, 499, 1390, 304, 264, 51370, 433, 374, 3549, 311, 701, 33347, 323, 1418, 682, 51370, 82, 22655, 1427, 27083, 701, 51370, 706, 279, 4519, 11, 15696, 323, 904, 1023, 2678, 3649, 499, 1390, 311, 1304, 701, 30881, 7041, 1093, 433, 8111, 304, 701, 4059, 477, 389, 5684, 13, 358, 1005, 14599, 7410, 311, 3577, 856, 30881, 779, 9501, 374, 279, 1193, 3245, 430, 690, 18167, 13, 3092, 17637, 505, 2254, 8002, 258, 1705, 617, 2744, 2586, 304, 2212, 11157, 439, 11646, 439, 459, 452, 16606, 323, 1884, 8002, 258, 1705, 1541, 1431, 2216, 3619, 1148, 279, 842, 2027, 690, 387, 779, 358, 2216, 2733, 279, 2853, 374, 1664, 5922, 433, 13, 24537, 78, 706, 2744, 1027, 2523, 11, 358, 2103, 617, 264, 5743, 315, 10705, 40294, 2212, 13, 3011, 753, 1148, 358, 1511, 311, 6725, 449, 994, 358, 1176, 3940, 1701, 77851, 388, 323, 539, 1120, 264, 3254, 6710, 315, 7732, 13, 1115, 374, 1120, 856, 9647, 315, 3388, 13, 1472, 656, 499, 893, 13, 1442, 499, 617, 2523, 323, 4048, 505, 433, 11, 41136, 8965, 279, 5915, 627, 4599, 358, 1176, 1373, 420, 8712, 11, 602, 574, 264, 2766, 63757, 311, 1120, 12571, 856, 892, 11, 719, 87932, 602, 574, 5076, 11, 5353, 4661, 1475, 1772, 1618, 2216, 706, 2555, 311, 2019, 13, 11361, 369, 430, 4999, 2746, 499, 1212, 3339, 30881, 11, 7344, 264, 220, 18, 35, 12, 9171, 291, 29561, 374, 264, 1695, 10778, 1990, 1633, 12136, 12466, 98834, 323, 2555, 1093, 308, 11032, 320, 17206, 3582, 602, 3021, 856, 308, 11032, 612, 690, 2646, 5916, 4205, 775, 198, 8, 662, 358, 617, 2751, 264, 2763, 315, 30881, 505, 264, 4333, 889, 4375, 449, 264, 29561, 505, 571, 80216, 2541, 76, 18938, 389, 1798, 64, 13, 578, 30881, 527, 1633, 6573, 612, 439, 3117, 439, 358, 16365, 279, 29561, 649, 387, 1080, 915, 3149, 1306, 701, 25223, 13, 358, 1541, 1431, 1440, 279, 3521, 266, 3430, 11, 719, 1202, 1790, 2753, 1109, 459, 308, 11032, 627, 1950, 358, 1071, 358, 617, 2646, 24891, 832, 16102, 11, 719, 7344, 3885, 617, 11704, 449, 220, 18, 35, 43245, 291, 98834, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 19182, 682, 11, 4934, 311, 1304, 264, 10430, 369, 1274, 889, 1390, 311, 636, 1139, 3339, 9722, 13, 358, 7182, 1053, 1093, 311, 1304, 264, 9722, 1606, 358, 3021, 14654, 38669, 323, 3339, 2574, 449, 856, 6206, 13, 36530, 6725, 3727, 4832, 719, 279, 6848, 6222, 1618, 690, 520, 3325, 636, 1274, 3940, 627, 43346, 30881, 198, 11649, 1664, 11, 1427, 520, 1148, 3169, 315, 8712, 584, 617, 1618, 90578, 40, 4805, 9846, 304, 856, 1403, 31291, 11, 323, 4822, 389, 8712, 4619, 315, 18302, 9894, 1093, 358, 14614, 656, 627, 40, 649, 3041, 832, 6573, 2766, 315, 9650, 311, 5606, 430, 6944, 311, 1456, 3339, 30881, 25, 3041, 433, 264, 1456, 11, 719, 2744, 6227, 3249, 499, 4934, 311, 1212, 304, 279, 1176, 2035, 13, 4427, 1274, 7940, 1139, 9722, 3339, 449, 279, 4623, 311, 1977, 264, 2883, 11, 636, 872, 836, 704, 1070, 11, 323, 1054, 7072, 433, 2466, 11453, 1628, 433, 753, 1695, 311, 617, 9021, 369, 6261, 11, 719, 1541, 1431, 1095, 433, 8657, 82615, 499, 323, 2543, 2555, 2523, 1139, 2555, 259, 6322, 323, 41630, 13, 1102, 5039, 304, 279, 30881, 11, 1935, 892, 311, 1456, 2574, 704, 323, 4048, 72859, 627, 2460, 279, 32874, 499, 1205, 369, 9722, 3339, 527, 2736, 704, 1070, 13, 33021, 90719, 323, 38403, 690, 1501, 499, 279, 1853, 499, 1288, 1212, 389, 13, 20696, 775, 499, 4805, 617, 311, 9526, 449, 13, 2684, 753, 912, 11682, 304, 11821, 279, 32874, 1618, 13, 4740, 682, 11, 264, 4367, 9722, 8638, 449, 3217, 323, 892, 627, 53, 1994, 261, 26839, 8638, 520, 220, 16, 14, 2983, 15271, 13, 19575, 704, 65355, 323, 59884, 12562, 439, 499, 2567, 3339, 21126, 627, 32641, 361, 955, 3250, 1431, 2216, 5030, 11, 439, 1317, 439, 433, 753, 1063, 1695, 4367, 38561, 477, 97744, 323, 499, 11203, 433, 15792, 323, 1095, 433, 27208, 12722, 11, 499, 4805, 617, 7091, 6573, 30881, 627, 29690, 311, 5425, 2320, 398, 701, 30881, 13, 1472, 4805, 7216, 704, 1268, 1317, 499, 1288, 1095, 701, 9722, 2503, 304, 279, 29561, 1603, 499, 649, 2486, 820, 433, 439, 499, 636, 810, 10882, 449, 701, 38561, 627, 2059, 14550, 323, 52662, 2586, 505, 3217, 13, 12040, 279, 892, 311, 4048, 1268, 311, 6211, 264, 9722, 449, 1120, 9462, 19716, 13, 4418, 1431, 733, 7833, 8469, 323, 1005, 1063, 3361, 30158, 3896, 13, 1472, 2834, 1431, 52122, 279, 7512, 499, 4805, 1205, 13, 358, 4070, 9687, 1148, 3169, 315, 4580, 21483, 358, 1093, 1120, 555, 64793, 14550, 2362, 30881, 449, 9462, 19716, 13, 47893, 323, 1304, 502, 6392, 4999, 81586, 11, 499, 4805, 1205, 264, 220, 16, 14, 845, 339, 17560, 31646, 2766, 369, 3339, 279, 34739, 20349, 13, 7199, 2212, 449, 1023, 2766, 12562, 477, 1524, 2204, 7526, 369, 32632, 16113, 13, 2468, 279, 8187, 11, 264, 220, 16, 14, 23, 339, 31646, 2766, 690, 8854, 499, 7060, 369, 32632, 15872, 627, 40, 1541, 1431, 1866, 264, 2883, 477, 4205, 719, 358, 4070, 6476, 2212, 264, 2763, 449, 3339, 856, 1866, 6392, 13, 20474, 11, 682, 279, 32874, 527, 704, 1070, 2736, 11, 433, 753, 709, 311, 499, 311, 7216, 704, 1268, 311, 1304, 701, 30881, 2559, 704, 24059, 279, 3885, 627, 12947, 369, 279, 11190, 20616, 0, 63647, 358, 617, 7111, 1139, 682, 279, 6913, 6392, 389, 13674, 13, 4702, 3463, 279, 4617, 1053, 387, 2294, 369, 1274, 311, 3137, 449, 1855, 1023, 323, 2610, 4860, 13, 358, 1518, 3339, 30881, 439, 264, 11782, 27487, 369, 1884, 889, 3021, 311, 1304, 2574, 449, 872, 6206, 13, 3277, 358, 2751, 856, 1176, 99082, 439, 264, 10585, 358, 57636, 315, 1694, 3025, 311, 1304, 433, 449, 856, 6206, 832, 1938, 13, 6104, 1202, 8659, 36861, 481, 11, 3339, 14654, 19826, 289, 11206, 387, 1120, 439, 2523, 627, 40, 2733, 499, 893, 13, 362, 9722, 34558, 505, 701, 1866, 6206, 11321, 779, 1790, 2731, 311, 12141, 13, 1102, 753, 264, 43715, 2515, 719, 358, 1781, 1606, 315, 682, 279, 892, 499, 8493, 4832, 287, 433, 11, 499, 2216, 1212, 311, 3619, 1148, 3169, 315, 4580, 499, 4070, 1903, 323, 1268, 433, 11321, 13, 1472, 2216, 11245, 320, 6518, 1093, 9462, 8, 704, 279, 41859, 311, 1304, 433, 2555, 430, 499, 1053, 387, 12691, 311, 539, 1193, 12141, 719, 1501, 311, 279, 1917, 13, 1442, 499, 1205, 4205, 775, 11, 2733, 1949, 311, 2610, 4999, 26840, 12738, 893, 0, 1472, 1071, 433, 682, 13, 358, 4344, 2133, 311, 1456, 311, 1304, 1063, 21126, 1063, 892, 5246, 198, 11116, 627, 12947, 369, 279, 3962, 13, 366, 18, 198, 28205, 1873, 13, 10919, 13, 7281, 1873, 13, 763, 4892, 5270, 1314, 1457, 584, 527, 9298, 459, 14560, 10205, 304, 279, 23354, 315, 14654, 38669, 13, 3161, 430, 1070, 1101, 4131, 264, 3544, 12330, 315, 1054, 65851, 863, 430, 9539, 617, 1120, 11021, 279, 43149, 98834, 14, 1055, 68, 388, 48147, 1981, 323, 7214, 617, 3940, 17437, 872, 1176, 2478, 30881, 369, 6412, 389, 52104, 13, 358, 1781, 922, 1268, 1790, 6725, 323, 892, 358, 29091, 304, 74285, 856, 1866, 5528, 323, 358, 3460, 315, 1589, 18177, 994, 358, 1518, 1274, 17437, 30881, 430, 527, 61437, 11, 31555, 68865, 323, 1524, 87312, 13, 9176, 733, 779, 3117, 439, 311, 1893, 872, 3997, 11, 923, 27873, 7729, 323, 9167, 1431, 1524, 1903, 264, 3254, 9722, 3686, 13, 2057, 757, 11, 420, 3169, 315, 3245, 44164, 14654, 38669, 810, 1109, 433, 8779, 13, 65057, 279, 5915, 374, 311, 617, 8996, 3169, 315, 2027, 369, 6412, 439, 5043, 439, 3284, 311, 8515, 304, 449, 912, 4747, 922, 279, 6372, 433, 374, 3515, 389, 279, 2466, 6945, 13, 42669, 11, 15851, 315, 701, 34334, 449, 9722, 28936, 499, 1288, 2744, 6725, 2294, 30401, 13, 12334, 1695, 3596, 4131, 505, 38117, 704, 36650, 13, 7429, 11, 279, 1888, 53862, 2744, 2586, 994, 1070, 374, 2294, 3021, 4920, 433, 13, 1102, 753, 8965, 4382, 369, 1274, 311, 1518, 994, 4423, 374, 1139, 2555, 1120, 311, 8515, 304, 13, 4060, 1752, 11336, 14236, 389, 872, 6732, 11, 11210, 17895, 5238, 1603, 1054, 13787, 16, 9520, 1054, 15346, 358, 1304, 11, 690, 499, 3780, 12671, 1798, 64, 8158, 5099, 1981, 63647, 11, 1102, 374, 3021, 430, 20722, 757, 311, 2567, 6968, 13, 2876, 4754, 18160, 12195, 13, 3092, 9647, 374, 430, 422, 810, 6222, 430, 8430, 584, 1053, 1518, 1524, 810, 2294, 6848, 323, 19297, 4619, 315, 9298, 220, 1135, 1274, 3815, 279, 4839, 1890, 3245, 927, 323, 927, 13, 7281, 1873, 13, 10919, 13, 7281, 1873, 13, 1442, 499, 1120, 1935, 701, 892, 323, 387, 6261, 433, 690, 1501, 304, 701, 990, 13, 3011, 374, 1148, 3727, 433, 1054, 22479, 990, 89874, 2173, 3388, 420, 374, 1120, 856, 9647, 323, 810, 315, 459, 85339, 323, 539, 9722, 28936, 9650, 719, 358, 4805, 71950, 17210, 1148, 20616, 323, 6677, 358, 649, 311, 279, 12111, 994, 433, 4131, 311, 430, 3169, 315, 3245, 627, 72, 617, 264, 9722, 3339, 3488, 25, 1587, 5127, 2216, 5425, 39673, 30, 358, 636, 3249, 433, 753, 2884, 449, 43878, 19826, 11, 719, 14654, 19826, 20781, 636, 904, 6129, 5882, 323, 602, 2744, 617, 279, 8430, 279, 2477, 374, 2731, 449, 279, 24875, 682, 2133, 832, 5216, 90578, 8780, 18463, 76460, 232, 5380, 40, 2744, 5425, 39673, 13, 1102, 11621, 8333, 311, 279, 9722, 13, 1102, 2744, 3727, 757, 1589, 18177, 994, 358, 1518, 4423, 1005, 682, 3160, 4583, 39673, 82, 13, 54270, 7732, 374, 1101, 1903, 430, 1648, 11, 323, 433, 4536, 1431, 1120, 1606, 814, 4934, 832, 24875, 311, 733, 420, 1648, 11, 323, 279, 1828, 39673, 311, 617, 279, 24875, 2133, 279, 1023, 1648, 369, 5992, 627, 31, 26353, 37, 1553, 9930, 499, 369, 420, 0, 1102, 374, 8659, 10186, 994, 1274, 527, 1120, 304, 433, 369, 279, 3300, 323, 5357, 389, 75873, 5908, 4619, 315, 4367, 13, 63647, 358, 1053, 1390, 311, 1893, 30881, 304, 279, 1455, 22556, 1648, 13, 358, 1053, 387, 7649, 704, 628, 552, 1023, 1109, 55480, 430, 1541, 1431, 617, 439, 1790, 5536, 389, 279, 4676, 13, 358, 3131, 1047, 264, 99082, 449, 264, 59982, 1948, 2320, 398, 13, 6104, 433, 374, 810, 11646, 433, 1053, 387, 5922, 3411, 1139, 323, 7649, 1268, 433, 1436, 15025, 311, 14654, 38669, 13, 358, 12491, 311, 387, 41421, 52221, 779, 1475, 9722, 358, 1304, 690, 387, 1903, 449, 264, 2763, 315, 892, 323, 3021, 13, 25274, 264, 2865, 315, 30881, 323, 4832, 287, 701, 11003, 5097, 47891, 927, 6041, 264, 2883, 627, 19182, 893, 0, 4718, 21126, 527, 1633, 1664, 3967, 323, 10456, 779, 422, 1202, 3318, 369, 499, 1120, 2567, 7091, 258, 529, 0, 1789, 1148, 358, 1304, 358, 2744, 1005, 5425, 628, 552, 439, 433, 6835, 757, 279, 13552, 19025, 323, 2477, 430, 358, 1097, 3411, 311, 11322, 13, 358, 1101, 990, 304, 9193, 9439, 20472, 369, 220, 21, 4038, 704, 315, 279, 1060, 323, 358, 8659, 636, 2753, 4208, 2964, 902, 374, 2555, 358, 649, 1431, 2559, 13, 358, 1518, 264, 2763, 315, 30881, 449, 5425, 628, 552, 389, 279, 1948, 323, 5740, 3582, 13, 2684, 374, 5042, 912, 8333, 1070, 13, 36625, 422, 279, 6278, 39673, 374, 5425, 439, 1664, 13, 3011, 374, 1148, 358, 1650, 264, 1054, 9810, 3183, 113068, 6854, 1431, 3868, 311, 1518, 701, 502, 990, 36157, 4999, 40, 1456, 311, 1893, 304, 439, 22556, 264, 11827, 439, 3284, 2288, 719, 55480, 374, 2555, 358, 17631, 389, 304, 264, 6129, 1648, 13, 358, 4344, 2771, 1023, 2653, 33633, 990, 1120, 439, 1695, 719, 358, 1120, 1005, 856, 55480, 66713, 323, 12571, 1633, 2697, 315, 1148, 358, 617, 13, 7648, 315, 1148, 358, 1005, 527, 92885, 505, 264, 2606, 358, 617, 25559, 323, 8813, 459, 9306, 449, 13, 15636, 358, 1005, 279, 2678, 45379, 82, 315, 66085, 77851, 388, 430, 1053, 14614, 387, 14763, 13, 49522, 4536, 1431, 1695, 13, 1115, 374, 8659, 832, 315, 279, 2574, 430, 82454, 757, 922, 264, 3738, 11, 5526, 11, 12466, 29561, 1694, 13882, 1511, 1314, 1457, 13, 578, 77851, 261, 374, 48715, 779, 2466, 430, 499, 1436, 4661, 1304, 220, 17, 30881, 704, 315, 433, 304, 264, 6300, 6721, 29561, 13, 3011, 3460, 315, 12571, 374, 82454, 638, 719, 358, 8101, 539, 369, 5127, 13, 1472, 2873, 311, 617, 264, 2294, 19451, 922, 3339, 21126, 893, 11, 2744, 1695, 311, 1518, 430, 4999, 40, 1440, 48923, 14722, 1511, 311, 539, 5425, 2320, 398, 3156, 36769, 9509, 3940, 311, 15253, 1461, 311, 13, 11511, 281, 6852, 706, 3719, 279, 5410, 369, 1690, 1274, 323, 1690, 1684, 433, 439, 19077, 9722, 3339, 422, 499, 1541, 1431, 13, 5112, 1578, 499, 4070, 1903, 779, 1690, 8056, 30881, 449, 701, 6206, 779, 499, 617, 701, 33811, 369, 539, 5425, 281, 6852, 13, 358, 1781, 430, 3515, 682, 279, 24875, 1629, 304, 279, 1890, 5216, 6276, 433, 311, 5882, 42147, 902, 48018, 311, 264, 2731, 8430, 2477, 30, 6104, 358, 7070, 3021, 311, 539, 617, 311, 3568, 449, 3515, 311, 4018, 856, 77851, 261, 304, 1403, 2204, 18445, 11, 5425, 281, 6852, 1587, 1304, 369, 264, 16643, 9722, 627, 12947, 369, 701, 11555, 389, 420, 8712, 3001, 358, 1511, 311, 656, 5425, 39673, 82, 3156, 602, 41193, 430, 602, 1193, 656, 433, 1606, 814, 656, 433, 304, 43878, 38669, 13, 358, 2216, 48707, 1518, 3249, 433, 1288, 387, 279, 1890, 369, 14654, 38669, 11, 5423, 2533, 1202, 220, 1644, 3906, 7029, 323, 279, 8603, 527, 17832, 1981, 602, 1903, 264, 2478, 30881, 505, 279, 1890, 77851, 261, 11, 1120, 220, 20, 39673, 82, 682, 55480, 11, 449, 2225, 5528, 13, 1789, 757, 602, 1766, 430, 279, 21126, 449, 682, 3160, 4583, 77851, 388, 1051, 16643, 323, 1047, 2731, 2477, 13, 10926, 1202, 279, 38561, 323, 66157, 7410, 430, 1903, 1124, 2204, 369, 757, 11, 264, 2763, 315, 9547, 2133, 1139, 433, 63450, 90578, 4516, 16089, 499, 1903, 420, 8712, 11, 358, 9167, 1431, 1903, 30881, 2533, 279, 7732, 14, 1320, 29561, 2919, 719, 358, 2103, 617, 264, 8941, 315, 77851, 261, 779, 358, 4070, 1027, 2216, 7422, 922, 3794, 264, 6300, 29561, 13, 358, 1541, 1431, 2512, 922, 3339, 264, 2883, 11, 358, 617, 2744, 1903, 30881, 369, 7182, 323, 4885, 477, 279, 10535, 6696, 1618, 323, 1070, 13, 63647, 358, 1511, 311, 5425, 39673, 32227, 1606, 315, 99082, 15266, 627, 791, 1888, 3411, 51370, 82, 602, 4070, 3970, 2212, 527, 60797, 8002, 1619, 323, 1427, 311, 387, 1903, 704, 315, 71404, 477, 46964, 955, 37182, 13, 452, 16606, 98834, 2873, 311, 387, 5526, 50790, 505, 52104, 719, 358, 2733, 1093, 430, 73222, 51370, 82, 527, 16926, 387, 264, 2766, 2288, 4528, 311, 832, 2500, 323, 400, 5154, 369, 264, 51370, 374, 5084, 1648, 311, 11646, 627, 40, 5602, 11291, 753, 1772, 389, 52104, 279, 1023, 1938, 922, 813, 16844, 432, 29561, 482, 420, 5084, 1093, 264, 1695, 1749, 311, 636, 264, 12136, 323, 12309, 4228, 311, 2587, 1082, 51370, 1389, 358, 1781, 420, 374, 4762, 1148, 358, 690, 1456, 439, 358, 1097, 3794, 912, 31737, 505, 60797, 8002, 258, 1705, 922, 6968, 264, 51370, 627, 39115, 41136, 11190, 11, 5127, 775, 374, 1120, 7556, 922, 30401, 323, 6725, 323, 1148, 1962, 1981, 499, 649, 1431, 6725, 422, 499, 1541, 1431, 617, 264, 15326, 51370, 779, 7344, 499, 10534, 9722, 29414, 1436, 3041, 1063, 20616, 1139, 430, 4587, 5380, 2520, 757, 279, 30689, 5627, 311, 1304, 264, 1695, 11, 1317, 29869, 36433, 29561, 1511, 311, 387, 1701, 264, 6710, 315, 9501, 30280, 1139, 279, 6211, 499, 1390, 323, 1701, 1841, 11049, 78, 311, 3048, 430, 6211, 13, 578, 24537, 78, 2653, 729, 2216, 1664, 323, 279, 29561, 649, 51571, 264, 2763, 315, 7410, 627, 3947, 527, 1063, 15326, 44912, 704, 1070, 25, 320, 48574, 831, 309, 374, 264, 1695, 4623, 311, 1304, 264, 8389, 340, 81655, 315, 2204, 51370, 82, 499, 649, 5268, 505, 369, 6725, 477, 4443, 1005, 893, 13, 1102, 753, 994, 499, 1390, 311, 1304, 279, 3480, 311, 11486, 30881, 430, 358, 2744, 4284, 264, 6300, 463, 51370, 13, 1442, 499, 30730, 389, 10671, 264, 2883, 1243, 264, 8002, 1619, 9501, 29561, 374, 2103, 279, 1193, 1648, 311, 733, 13, 452, 16606, 51370, 82, 527, 90466, 1695, 323, 422, 499, 1440, 7041, 1148, 499, 1390, 304, 264, 51370, 433, 374, 3549, 311, 701, 33347, 323, 1418, 682, 51370, 82, 22655, 1427, 27083, 701, 51370, 706, 279, 4519, 11, 15696, 323, 904, 1023, 2678, 3649, 499, 1390, 311, 1304, 701, 30881, 7041, 1093, 433, 8111, 304, 701, 4059, 477, 389, 5684, 13, 358, 1005, 14599, 7410, 311, 3577, 856, 30881, 779, 9501, 374, 279, 1193, 3245, 430, 690, 18167, 13, 3092, 17637, 505, 2254, 8002, 258, 1705, 617, 2744, 2586, 304, 2212, 11157, 439, 11646, 439, 459, 452, 16606, 323, 1884, 8002, 258, 1705, 1541, 1431, 2216, 3619, 1148, 279, 842, 2027, 690, 387, 779, 358, 2216, 2733, 279, 2853, 374, 1664, 5922, 433, 13, 24537, 78, 706, 2744, 1027, 2523, 11, 358, 2103, 617, 264, 5743, 315, 10705, 40294, 2212, 13, 3011, 753, 1148, 358, 1511, 311, 6725, 449, 994, 358, 1176, 3940, 1701, 77851, 388, 323, 539, 1120, 264, 3254, 6710, 315, 7732, 13, 1115, 374, 1120, 856, 9647, 315, 3388, 13, 1472, 656, 499, 893, 13, 1442, 499, 617, 2523, 323, 4048, 505, 433, 11, 41136, 8965, 279, 5915, 627, 4599, 358, 1176, 1373, 420, 8712, 11, 602, 574, 264, 2766, 63757, 311, 1120, 12571, 856, 892, 11, 719, 87932, 602, 574, 5076, 11, 5353, 4661, 1475, 1772, 1618, 2216, 706, 2555, 311, 2019, 13, 11361, 369, 430, 4999, 2746, 499, 1212, 3339, 30881, 11, 7344, 264, 220, 18, 35, 12, 9171, 291, 29561, 374, 264, 1695, 10778, 1990, 1633, 12136, 12466, 98834, 323, 2555, 1093, 308, 11032, 320, 17206, 3582, 602, 3021, 856, 308, 11032, 612, 690, 2646, 5916, 4205, 775, 198, 8, 662, 358, 617, 2751, 264, 2763, 315, 30881, 505, 264, 4333, 889, 4375, 449, 264, 29561, 505, 571, 80216, 2541, 76, 18938, 389, 1798, 64, 13, 578, 30881, 527, 1633, 6573, 612, 439, 3117, 439, 358, 16365, 279, 29561, 649, 387, 1080, 915, 3149, 1306, 701, 25223, 13, 358, 1541, 1431, 1440, 279, 3521, 266, 3430, 11, 719, 1202, 1790, 2753, 1109, 459, 308, 11032, 627, 1950, 358, 1071, 358, 617, 2646, 24891, 832, 16102, 11, 719, 7344, 3885, 617, 11704, 449, 220, 18, 35, 43245, 291, 98834, 30, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689 ]
2,690
[ 128000, 2378, 33359, 11205, 32467, 9522, 21365, 49554, 527, 1120, 1148, 358, 1097, 3025, 311, 25689, 1697, 323, 89614, 3451, 791, 10973, 1455, 71770, 320, 63862, 8, 1692, 863, 5603, 13, 2435, 2216, 1288, 539, 387, 67213, 389, 701, 1866, 4869, 11, 649, 387, 24306, 3515, 889, 499, 2216, 527, 4560, 311, 5357, 627, 33, 3614, 430, 527, 2288, 1695, 11, 3708, 477, 3411, 311, 28008, 499, 420, 1732, 374, 1633, 1664, 2262, 1694, 555, 6261, 527, 6118, 264, 2579, 79050, 16102, 602, 1770, 13, 1054, 40, 4344, 459, 9250, 9903, 0, 11453, 2684, 574, 264, 7060, 12742, 1694, 6220, 304, 701, 7479, 1694, 58298, 4633, 627, 1966, 279, 1023, 1450, 11, 49554, 832, 311, 1005, 709, 682, 701, 3115, 11, 3630, 11, 41463, 649, 387, 3970, 3131, 279, 17235, 41630, 11, 71810, 6062, 3463, 1752, 13, 3277, 499, 617, 264, 2653, 1949, 30622, 5029, 6732, 892, 4477, 922, 389, 701, 1866, 11, 7931, 690, 71462, 349, 649, 8101, 499, 527, 430, 1648, 2391, 279, 4661, 1475, 1023, 13918, 315, 701, 2324, 627, 2409, 420, 4040, 5647, 11, 499, 3207, 3432, 10032, 311, 56719, 701, 7757, 12135, 5643, 323, 649, 387, 69704, 6179, 499, 8125, 369, 3515, 57669, 4647, 50864, 1109, 1120, 922, 904, 3335, 3201, 505, 1008, 87678, 374, 13, 3161, 430, 1071, 11, 1304, 2771, 499, 7340, 1521, 37565, 323, 656, 539, 1893, 264, 27989, 26762, 2363, 304, 24886, 311, 499, 1389, 5387, 2555, 311, 502, 28697, 323, 3136, 20958, 279, 7878, 7493, 4062, 323, 499, 649, 10437, 627, 21365, 439, 264, 16063, 11, 701, 63087, 17444, 374, 3604, 459, 8070, 11, 594, 29579, 5643, 323, 499, 1253, 33862, 704, 315, 57669, 13, 1102, 374, 24219, 311, 842, 709, 1694, 47035, 433, 11, 4737, 18463, 11, 4737, 279, 502, 9364, 323, 499, 690, 52913, 3630, 52754, 627, 36448, 279, 502, 63087, 10721, 11, 1456, 311, 1505, 420, 502, 52032, 832, 311, 10728, 7937, 701, 22654, 11, 14209, 13, 2522, 414, 279, 3566, 3196, 320, 23191, 29130, 11, 24379, 323, 409, 15795, 11, 5448, 704, 315, 59529, 4455, 323, 499, 649, 3449, 8772, 8, 311, 1518, 422, 1070, 527, 279, 6883, 502, 9364, 6062, 25232, 499, 1550, 539, 7142, 627, 19648, 3649, 11, 78888, 11, 10652, 43806, 13, 7557, 2771, 311, 15803, 6959, 323, 499, 1253, 9502, 279, 12974, 19647, 13, 10260, 315, 2288, 40634, 649, 1304, 499, 1427, 1093, 499, 3207, 26092, 832, 3245, 11, 602, 16230, 19049, 13, 4751, 11, 2683, 1752, 13, 459, 1778, 1093, 627, 52361, 272, 20603, 3878, 11, 23719, 323, 499, 690, 6685, 374, 539, 38761, 13, 1102, 374, 539, 4228, 311, 8821, 701, 659, 9002, 279, 7102, 3515, 10321, 1008, 87678, 323, 499, 690, 8349, 430, 5042, 4250, 842, 709, 1694, 11007, 9002, 459, 7524, 48761, 8312, 1389, 499, 6062, 701, 84187, 13, 35106, 1701, 1778, 439, 369, 2937, 4339, 1511, 304, 902, 78124, 6807, 627, 29132, 6848, 389, 2574, 311, 10051, 369, 701, 5133, 5643, 6685, 11, 1427, 520, 420, 304, 1481, 888, 339, 4652, 2737, 1176, 2457, 65510, 7576, 13, 20696, 499, 10051, 9093, 279, 5606, 701, 9172, 701, 659, 3515, 690, 7016, 1148, 2574, 311, 5606, 775, 832, 311, 21635, 279, 17444, 13, 4923, 2154, 311, 1520, 499, 32353, 323, 499, 1253, 38380, 369, 279, 1732, 499, 1390, 311, 2802, 627, 3947, 527, 5370, 21294, 1274, 7068, 389, 5133, 3932, 11, 5636, 832, 6305, 527, 264, 6996, 315, 4907, 323, 499, 1253, 10430, 47950, 2949, 279, 99428, 3932, 627, 1271, 5766, 902, 11, 5376, 7872, 389, 701, 1866, 432, 989, 9364, 555, 7999, 78888, 779, 499, 3207, 3025, 311, 279, 5652, 7397, 13, 7648, 1274, 656, 539, 1440, 814, 374, 6994, 481, 11, 1541, 1431, 1440, 10631, 1893, 78888, 11, 477, 617, 912, 4623, 2574, 311, 2019, 627, 27312, 65836, 5643, 11, 5719, 6685, 323, 1243, 4299, 279, 2380, 35483, 389, 279, 5190, 9861, 961, 315, 9364, 13, 5659, 1070, 11, 279, 13336, 311, 3493, 3158, 477, 32403, 690, 5101, 13, 720, 33408, 264, 5647, 11, 3463, 11, 22599, 477, 27387, 98953, 2161, 1139, 4676, 477, 6376, 374, 1101, 11415, 279, 18699, 69665, 323, 8824, 311, 1935, 961, 304, 83733, 9120, 466, 627, 3947, 374, 264, 3544, 1396, 315, 4384, 6959, 1139, 279, 426, 23568, 323, 1101, 439, 459, 842, 1121, 11, 433, 636, 36257, 7170, 1555, 279, 4141, 6067, 6062, 56612, 311, 4062, 5992, 1606, 315, 279, 21739, 775, 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 ]
[ 128000, 2378, 33359, 11205, 32467, 9522, 21365, 49554, 527, 1120, 1148, 358, 1097, 3025, 311, 25689, 1697, 323, 89614, 3451, 791, 10973, 1455, 71770, 320, 63862, 8, 1692, 863, 5603, 13, 2435, 2216, 1288, 539, 387, 67213, 389, 701, 1866, 4869, 11, 649, 387, 24306, 3515, 889, 499, 2216, 527, 4560, 311, 5357, 627, 33, 3614, 430, 527, 2288, 1695, 11, 3708, 477, 3411, 311, 28008, 499, 420, 1732, 374, 1633, 1664, 2262, 1694, 555, 6261, 527, 6118, 264, 2579, 79050, 16102, 602, 1770, 13, 1054, 40, 4344, 459, 9250, 9903, 0, 11453, 2684, 574, 264, 7060, 12742, 1694, 6220, 304, 701, 7479, 1694, 58298, 4633, 627, 1966, 279, 1023, 1450, 11, 49554, 832, 311, 1005, 709, 682, 701, 3115, 11, 3630, 11, 41463, 649, 387, 3970, 3131, 279, 17235, 41630, 11, 71810, 6062, 3463, 1752, 13, 3277, 499, 617, 264, 2653, 1949, 30622, 5029, 6732, 892, 4477, 922, 389, 701, 1866, 11, 7931, 690, 71462, 349, 649, 8101, 499, 527, 430, 1648, 2391, 279, 4661, 1475, 1023, 13918, 315, 701, 2324, 627, 2409, 420, 4040, 5647, 11, 499, 3207, 3432, 10032, 311, 56719, 701, 7757, 12135, 5643, 323, 649, 387, 69704, 6179, 499, 8125, 369, 3515, 57669, 4647, 50864, 1109, 1120, 922, 904, 3335, 3201, 505, 1008, 87678, 374, 13, 3161, 430, 1071, 11, 1304, 2771, 499, 7340, 1521, 37565, 323, 656, 539, 1893, 264, 27989, 26762, 2363, 304, 24886, 311, 499, 1389, 5387, 2555, 311, 502, 28697, 323, 3136, 20958, 279, 7878, 7493, 4062, 323, 499, 649, 10437, 627, 21365, 439, 264, 16063, 11, 701, 63087, 17444, 374, 3604, 459, 8070, 11, 594, 29579, 5643, 323, 499, 1253, 33862, 704, 315, 57669, 13, 1102, 374, 24219, 311, 842, 709, 1694, 47035, 433, 11, 4737, 18463, 11, 4737, 279, 502, 9364, 323, 499, 690, 52913, 3630, 52754, 627, 36448, 279, 502, 63087, 10721, 11, 1456, 311, 1505, 420, 502, 52032, 832, 311, 10728, 7937, 701, 22654, 11, 14209, 13, 2522, 414, 279, 3566, 3196, 320, 23191, 29130, 11, 24379, 323, 409, 15795, 11, 5448, 704, 315, 59529, 4455, 323, 499, 649, 3449, 8772, 8, 311, 1518, 422, 1070, 527, 279, 6883, 502, 9364, 6062, 25232, 499, 1550, 539, 7142, 627, 19648, 3649, 11, 78888, 11, 10652, 43806, 13, 7557, 2771, 311, 15803, 6959, 323, 499, 1253, 9502, 279, 12974, 19647, 13, 10260, 315, 2288, 40634, 649, 1304, 499, 1427, 1093, 499, 3207, 26092, 832, 3245, 11, 602, 16230, 19049, 13, 4751, 11, 2683, 1752, 13, 459, 1778, 1093, 627, 52361, 272, 20603, 3878, 11, 23719, 323, 499, 690, 6685, 374, 539, 38761, 13, 1102, 374, 539, 4228, 311, 8821, 701, 659, 9002, 279, 7102, 3515, 10321, 1008, 87678, 323, 499, 690, 8349, 430, 5042, 4250, 842, 709, 1694, 11007, 9002, 459, 7524, 48761, 8312, 1389, 499, 6062, 701, 84187, 13, 35106, 1701, 1778, 439, 369, 2937, 4339, 1511, 304, 902, 78124, 6807, 627, 29132, 6848, 389, 2574, 311, 10051, 369, 701, 5133, 5643, 6685, 11, 1427, 520, 420, 304, 1481, 888, 339, 4652, 2737, 1176, 2457, 65510, 7576, 13, 20696, 499, 10051, 9093, 279, 5606, 701, 9172, 701, 659, 3515, 690, 7016, 1148, 2574, 311, 5606, 775, 832, 311, 21635, 279, 17444, 13, 4923, 2154, 311, 1520, 499, 32353, 323, 499, 1253, 38380, 369, 279, 1732, 499, 1390, 311, 2802, 627, 3947, 527, 5370, 21294, 1274, 7068, 389, 5133, 3932, 11, 5636, 832, 6305, 527, 264, 6996, 315, 4907, 323, 499, 1253, 10430, 47950, 2949, 279, 99428, 3932, 627, 1271, 5766, 902, 11, 5376, 7872, 389, 701, 1866, 432, 989, 9364, 555, 7999, 78888, 779, 499, 3207, 3025, 311, 279, 5652, 7397, 13, 7648, 1274, 656, 539, 1440, 814, 374, 6994, 481, 11, 1541, 1431, 1440, 10631, 1893, 78888, 11, 477, 617, 912, 4623, 2574, 311, 2019, 627, 27312, 65836, 5643, 11, 5719, 6685, 323, 1243, 4299, 279, 2380, 35483, 389, 279, 5190, 9861, 961, 315, 9364, 13, 5659, 1070, 11, 279, 13336, 311, 3493, 3158, 477, 32403, 690, 5101, 13, 720, 33408, 264, 5647, 11, 3463, 11, 22599, 477, 27387, 98953, 2161, 1139, 4676, 477, 6376, 374, 1101, 11415, 279, 18699, 69665, 323, 8824, 311, 1935, 961, 304, 83733, 9120, 466, 627, 3947, 374, 264, 3544, 1396, 315, 4384, 6959, 1139, 279, 426, 23568, 323, 1101, 439, 459, 842, 1121, 11, 433, 636, 36257, 7170, 1555, 279, 4141, 6067, 6062, 56612, 311, 4062, 5992, 1606, 315, 279, 21739, 775, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 2118, 7749, 18410, 9744, 11799, 19723, 13688, 765, 41994, 323, 8489, 34991, 56714, 482, 220, 5154, 15, 28730, 9520, 308, 962, 13, 3788, 1129, 38318, 77811, 2726, 14, 37838, 14, 9800, 16460, 20, 77329, 22867, 55885, 39585, 5594, 18339, 627, 33674, 374, 1054, 276, 1989, 315, 6373, 863, 320, 60300, 71, 11, 1229, 1439, 6151, 323, 70449, 11, 220, 1049, 22, 8, 430, 6244, 5526, 449, 2626, 11351, 304, 220, 3753, 15, 82, 13, 22010, 320, 2550, 21, 8, 706, 11497, 430, 420, 6373, 8446, 24400, 389, 20958, 4367, 315, 304, 682, 11618, 4401, 304, 459, 7471, 26, 15266, 11, 3823, 5211, 11, 6020, 80779, 1392, 11, 432, 33465, 323, 8735, 13, 31913, 315, 2860, 4367, 6373, 5825, 264, 12914, 430, 28292, 279, 7471, 311, 3373, 15022, 22934, 304, 279, 3663, 315, 27924, 13, 4314, 15022, 22934, 3719, 279, 16665, 389, 902, 25605, 11429, 527, 1903, 9002, 279, 30633, 320, 53893, 833, 323, 8732, 11, 220, 1049, 23, 8, 78928, 1131, 11751, 1821, 902, 617, 279, 4754, 488, 315, 30240, 15022, 9610, 927, 1202, 28650, 13, 35802, 505, 63336, 11, 5376, 304, 3157, 4430, 279, 2883, 3966, 311, 5357, 389, 36051, 287, 449, 9313, 380, 11, 1179, 17294, 11, 61361, 11, 43121, 10396, 5099, 13, 4314, 11774, 617, 6197, 311, 279, 49179, 315, 10884, 18410, 9744, 320, 51, 89978, 8, 7434, 902, 24400, 389, 279, 32100, 323, 1579, 4367, 5788, 3235, 449, 13687, 8312, 315, 11822, 13, 578, 3229, 315, 279, 4007, 706, 27463, 279, 12939, 315, 350, 89978, 7434, 11, 8522, 11, 12939, 323, 9669, 13, 578, 4007, 690, 3041, 459, 20616, 1139, 279, 350, 89978, 12659, 315, 1630, 99258, 13332, 12604, 13, 17830, 11, 433, 690, 32194, 449, 19075, 430, 617, 279, 4754, 488, 315, 18899, 279, 6484, 350, 89978, 12659, 9522, 1131, 315, 5178, 11, 902, 374, 810, 87490, 304, 7138, 13, 15636, 279, 16945, 315, 46661, 9744, 323, 21304, 53751, 6011, 374, 311, 5276, 279, 31229, 73879, 99212, 16737, 505, 279, 21349, 7891, 315, 56827, 323, 47132, 311, 279, 264, 2536, 10398, 329, 3079, 2217, 315, 279, 16195, 9548, 13, 1115, 6880, 369, 264, 9200, 15813, 315, 279, 62792, 315, 279, 9476, 369, 25976, 264, 350, 89978, 5603, 779, 430, 279, 6011, 649, 17210, 810, 311, 279, 13709, 315, 9096, 11, 14135, 323, 12437, 304, 279, 5867, 89440, 315, 31229, 73879, 13, 10884, 18410, 9744, 330, 7749, 18410, 9744, 320, 51, 89978, 8, 374, 264, 743, 315, 6373, 12659, 6957, 279, 7471, 59547, 311, 6106, 279, 7471, 21356, 20628, 477, 36375, 6130, 8670, 13, 350, 89978, 7634, 3831, 5357, 9522, 1131, 34174, 9744, 10884, 18410, 9744, 320, 51, 89978, 8, 36002, 7404, 7327, 11, 4953, 13, 706, 11798, 279, 5603, 315, 10884, 18410, 9744, 311, 15751, 19030, 4367, 315, 1057, 2027, 13, 350, 89978, 54466, 71010, 279, 7829, 11, 19451, 323, 7471, 315, 1057, 2883, 323, 1202, 5915, 374, 311, 3136, 311, 3493, 1057, 6444, 449, 1948, 4367, 3956, 323, 3600, 430, 3449, 872, 14529, 3966, 13, 578, 7829, 25283, 4367, 304, 682, 5789, 315, 279, 4637, 1065, 7677, 11, 323, 7612, 430, 9256, 387, 2884, 1314, 279, 1176, 892, 555, 40599, 904, 42655, 11, 21294, 11, 323, 12571, 505, 7677, 13, 12557, 94957, 36002, 7404, 7327, 11, 4953, 13, 706, 16070, 350, 89978, 1606, 433, 75651, 311, 64523, 1057, 2883, 753, 16945, 315, 264, 6130, 38043, 17140, 13, 12557, 24617, 9522, 1975, 45178, 3778, 13581, 369, 18410, 11, 2360, 2696, 13, 578, 220, 22, 14967, 18410, 14173, 369, 8773, 53751, 13, 35907, 510, 20171, 60, 16528, 520, 25, 1795, 1129, 300, 80, 2726, 14, 12964, 69205, 22867, 60687, 1055, 52102, 22867, 45746, 14, 50378, 14, 50378, 2628, 510, 6182, 291, 5936, 220, 972, 11, 220, 679, 20, 948, 1676, 4023, 38812, 11, 362, 13, 362, 13, 612, 13106, 38812, 1394, 276, 11, 432, 13, 328, 2637, 220, 1049, 24, 13, 10884, 18410, 9744, 13, 6890, 25, 1561, 13381, 7327, 13, 10690, 11, 328, 13, 612, 1880, 13, 453, 2637, 220, 679, 18, 13, 25927, 9744, 25, 11216, 11, 28082, 323, 21304, 53751, 13, 15704, 25, 93122, 4995, 13, 426, 14137, 11, 2360, 2696, 320, 64, 570, 25027, 9744, 25, 362, 5422, 14919, 369, 362, 8445, 304, 3816, 59144, 64141, 323, 74540, 67667, 323, 9522, 10267, 603, 3350, 477, 4600, 279, 1162, 4007, 389, 701, 8712, 330, 7749, 18410, 9744, 11799, 19723, 1, 449, 264, 4443, 220, 508, 4, 11336, 627, 10267, 603, 1505, 499, 2500, 11799, 19723, 389, 8712, 10884, 18410, 9744, 11799, 19723, 369, 16655, 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 ]
[ 128000, 2118, 7749, 18410, 9744, 11799, 19723, 13688, 765, 41994, 323, 8489, 34991, 56714, 482, 220, 5154, 15, 28730, 9520, 308, 962, 13, 3788, 1129, 38318, 77811, 2726, 14, 37838, 14, 9800, 16460, 20, 77329, 22867, 55885, 39585, 5594, 18339, 627, 33674, 374, 1054, 276, 1989, 315, 6373, 863, 320, 60300, 71, 11, 1229, 1439, 6151, 323, 70449, 11, 220, 1049, 22, 8, 430, 6244, 5526, 449, 2626, 11351, 304, 220, 3753, 15, 82, 13, 22010, 320, 2550, 21, 8, 706, 11497, 430, 420, 6373, 8446, 24400, 389, 20958, 4367, 315, 304, 682, 11618, 4401, 304, 459, 7471, 26, 15266, 11, 3823, 5211, 11, 6020, 80779, 1392, 11, 432, 33465, 323, 8735, 13, 31913, 315, 2860, 4367, 6373, 5825, 264, 12914, 430, 28292, 279, 7471, 311, 3373, 15022, 22934, 304, 279, 3663, 315, 27924, 13, 4314, 15022, 22934, 3719, 279, 16665, 389, 902, 25605, 11429, 527, 1903, 9002, 279, 30633, 320, 53893, 833, 323, 8732, 11, 220, 1049, 23, 8, 78928, 1131, 11751, 1821, 902, 617, 279, 4754, 488, 315, 30240, 15022, 9610, 927, 1202, 28650, 13, 35802, 505, 63336, 11, 5376, 304, 3157, 4430, 279, 2883, 3966, 311, 5357, 389, 36051, 287, 449, 9313, 380, 11, 1179, 17294, 11, 61361, 11, 43121, 10396, 5099, 13, 4314, 11774, 617, 6197, 311, 279, 49179, 315, 10884, 18410, 9744, 320, 51, 89978, 8, 7434, 902, 24400, 389, 279, 32100, 323, 1579, 4367, 5788, 3235, 449, 13687, 8312, 315, 11822, 13, 578, 3229, 315, 279, 4007, 706, 27463, 279, 12939, 315, 350, 89978, 7434, 11, 8522, 11, 12939, 323, 9669, 13, 578, 4007, 690, 3041, 459, 20616, 1139, 279, 350, 89978, 12659, 315, 1630, 99258, 13332, 12604, 13, 17830, 11, 433, 690, 32194, 449, 19075, 430, 617, 279, 4754, 488, 315, 18899, 279, 6484, 350, 89978, 12659, 9522, 1131, 315, 5178, 11, 902, 374, 810, 87490, 304, 7138, 13, 15636, 279, 16945, 315, 46661, 9744, 323, 21304, 53751, 6011, 374, 311, 5276, 279, 31229, 73879, 99212, 16737, 505, 279, 21349, 7891, 315, 56827, 323, 47132, 311, 279, 264, 2536, 10398, 329, 3079, 2217, 315, 279, 16195, 9548, 13, 1115, 6880, 369, 264, 9200, 15813, 315, 279, 62792, 315, 279, 9476, 369, 25976, 264, 350, 89978, 5603, 779, 430, 279, 6011, 649, 17210, 810, 311, 279, 13709, 315, 9096, 11, 14135, 323, 12437, 304, 279, 5867, 89440, 315, 31229, 73879, 13, 10884, 18410, 9744, 330, 7749, 18410, 9744, 320, 51, 89978, 8, 374, 264, 743, 315, 6373, 12659, 6957, 279, 7471, 59547, 311, 6106, 279, 7471, 21356, 20628, 477, 36375, 6130, 8670, 13, 350, 89978, 7634, 3831, 5357, 9522, 1131, 34174, 9744, 10884, 18410, 9744, 320, 51, 89978, 8, 36002, 7404, 7327, 11, 4953, 13, 706, 11798, 279, 5603, 315, 10884, 18410, 9744, 311, 15751, 19030, 4367, 315, 1057, 2027, 13, 350, 89978, 54466, 71010, 279, 7829, 11, 19451, 323, 7471, 315, 1057, 2883, 323, 1202, 5915, 374, 311, 3136, 311, 3493, 1057, 6444, 449, 1948, 4367, 3956, 323, 3600, 430, 3449, 872, 14529, 3966, 13, 578, 7829, 25283, 4367, 304, 682, 5789, 315, 279, 4637, 1065, 7677, 11, 323, 7612, 430, 9256, 387, 2884, 1314, 279, 1176, 892, 555, 40599, 904, 42655, 11, 21294, 11, 323, 12571, 505, 7677, 13, 12557, 94957, 36002, 7404, 7327, 11, 4953, 13, 706, 16070, 350, 89978, 1606, 433, 75651, 311, 64523, 1057, 2883, 753, 16945, 315, 264, 6130, 38043, 17140, 13, 12557, 24617, 9522, 1975, 45178, 3778, 13581, 369, 18410, 11, 2360, 2696, 13, 578, 220, 22, 14967, 18410, 14173, 369, 8773, 53751, 13, 35907, 510, 20171, 60, 16528, 520, 25, 1795, 1129, 300, 80, 2726, 14, 12964, 69205, 22867, 60687, 1055, 52102, 22867, 45746, 14, 50378, 14, 50378, 2628, 510, 6182, 291, 5936, 220, 972, 11, 220, 679, 20, 948, 1676, 4023, 38812, 11, 362, 13, 362, 13, 612, 13106, 38812, 1394, 276, 11, 432, 13, 328, 2637, 220, 1049, 24, 13, 10884, 18410, 9744, 13, 6890, 25, 1561, 13381, 7327, 13, 10690, 11, 328, 13, 612, 1880, 13, 453, 2637, 220, 679, 18, 13, 25927, 9744, 25, 11216, 11, 28082, 323, 21304, 53751, 13, 15704, 25, 93122, 4995, 13, 426, 14137, 11, 2360, 2696, 320, 64, 570, 25027, 9744, 25, 362, 5422, 14919, 369, 362, 8445, 304, 3816, 59144, 64141, 323, 74540, 67667, 323, 9522, 10267, 603, 3350, 477, 4600, 279, 1162, 4007, 389, 701, 8712, 330, 7749, 18410, 9744, 11799, 19723, 1, 449, 264, 4443, 220, 508, 4, 11336, 627, 10267, 603, 1505, 499, 2500, 11799, 19723, 389, 8712, 10884, 18410, 9744, 11799, 19723, 369, 16655, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 27, 8570, 29, 5349, 14, 46623, 1783, 267, 198, 37, 70941, 53763, 24271, 198, 1547, 44356, 271, 4438, 656, 358, 923, 4141, 18874, 37033, 5380, 1434, 29765, 8607, 7224, 1005, 4040, 4141, 6067, 430, 527, 539, 4689, 477, 13882, 1511, 627, 2181, 374, 4228, 311, 923, 264, 743, 315, 2587, 4141, 37033, 13, 12619, 41579, 527, 18073, 198, 1729, 279, 1595, 32424, 3368, 366, 2485, 1129, 5316, 916, 3554, 67, 13636, 2754, 291, 3368, 44726, 62, 2082, 13, 3580, 279, 32072, 1595, 19041, 198, 27, 2485, 25, 5316, 916, 3554, 67, 13636, 2754, 291, 3368, 35927, 15711, 27057, 14, 46623, 1783, 267, 44726, 62, 369, 11944, 11470, 198, 263, 7999, 4141, 30570, 2396, 4286, 3923, 8316, 5380, 26999, 46015, 19534, 308, 8046, 5829, 353, 76, 16094, 552, 9, 369, 2225, 63697, 323, 4604, 7133, 11, 323, 433, 374, 198, 68, 10426, 478, 422, 499, 8312, 828, 304, 1521, 8316, 13, 4983, 68469, 527, 264, 31405, 17915, 30354, 10590, 19258, 69, 15511, 59, 9110, 5658, 8, 5089, 198, 9910, 439, 622, 41874, 1065, 14, 18199, 16, 13, 468, 35961, 82, 527, 353, 54803, 21066, 9, 7568, 35155, 82, 555, 1670, 13, 3296, 198, 2309, 11, 32738, 527, 304, 13238, 32738, 315, 9958, 353, 10365, 12594, 602, 1770, 13, 279, 26154, 315, 279, 198, 29767, 39, 13, 7181, 430, 420, 374, 2204, 1109, 40746, 13238, 32738, 320, 24567, 311, 48317, 198, 27428, 4814, 50655, 4438, 1317, 690, 433, 1935, 311, 5052, 856, 828, 5380, 1434, 35864, 4897, 14117, 627, 8586, 527, 1063, 14595, 85898, 369, 1855, 29736, 1650, 304, 5370, 15082, 320, 12214, 2239, 463, 696, 256, 489, 220, 605, 7200, 4604, 7133, 11, 912, 81967, 1299, 41353, 11, 912, 16174, 41353, 25, 220, 15, 13, 8759, 82, 198, 256, 489, 4604, 7133, 11, 2737, 81967, 1299, 41353, 25, 220, 15, 13, 2371, 82, 198, 256, 489, 66425, 51856, 2737, 61136, 63061, 25, 220, 15, 13, 2304, 82, 1432, 9290, 430, 279, 2926, 29736, 6880, 690, 387, 320, 59178, 8, 5129, 1109, 420, 13, 220, 9636, 198, 1820, 28314, 11, 279, 1176, 892, 433, 374, 2663, 10344, 7424, 4695, 50, 58303, 323, 54688, 1690, 198, 31548, 1385, 430, 527, 69843, 304, 17876, 6880, 382, 8607, 29736, 56181, 1253, 387, 2631, 369, 279, 25936, 311, 80867, 13, 1115, 198, 59047, 389, 279, 3169, 315, 1646, 499, 527, 27442, 323, 1202, 13167, 2786, 11, 279, 198, 98059, 12384, 1694, 1511, 11, 323, 279, 3169, 315, 828, 430, 499, 617, 13, 220, 30192, 477, 198, 17206, 2919, 824, 5052, 374, 539, 41296, 369, 810, 6485, 4211, 4286, 6854, 358, 5052, 856, 20326, 2288, 5380, 776, 14665, 3947, 527, 3892, 5066, 38864, 430, 2586, 709, 994, 27442, 66425, 51856, 271, 256, 220, 16, 8, 468, 35961, 2134, 323, 11175, 627, 415, 32134, 19534, 374, 3196, 389, 435, 4695, 50, 11, 902, 5829, 279, 386, 47078, 57077, 6875, 13, 4314, 198, 415, 617, 264, 11175, 315, 4056, 17, 13, 20, 32, 435, 20484, 44, 505, 220, 12935, 15, 6157, 482, 220, 13104, 15, 6157, 2800, 6906, 11, 323, 1790, 198, 415, 4827, 320, 49, 93, 1049, 477, 779, 11, 719, 539, 3604, 1664, 4613, 8, 4994, 420, 2134, 627, 415, 35321, 11175, 828, 320, 10924, 2737, 2225, 15798, 86712, 323, 198, 415, 42045, 11175, 8, 477, 57077, 3585, 4994, 420, 2134, 4250, 3686, 198, 415, 387, 5052, 382, 256, 220, 17, 8, 25368, 398, 11, 1584, 9041, 734, 627, 415, 32134, 19534, 5764, 5528, 369, 61136, 3196, 63061, 315, 279, 63697, 345, 415, 26619, 264, 64547, 445, 29767, 320, 258, 3060, 46406, 477, 15798, 3634, 570, 2684, 374, 198, 415, 1101, 279, 13336, 315, 61136, 3196, 63061, 369, 46406, 18222, 198, 415, 64547, 86712, 320, 72, 1770, 13, 20868, 52984, 284, 282, 18705, 8, 449, 282, 11000, 264, 198, 415, 48411, 315, 12741, 570, 763, 6725, 279, 93939, 63697, 690, 387, 264, 198, 415, 10824, 315, 279, 6875, 11175, 5636, 8996, 61136, 63061, 374, 198, 415, 9435, 13, 38994, 420, 649, 387, 1903, 311, 2489, 701, 5150, 828, 11175, 345, 415, 902, 374, 264, 10824, 315, 279, 7106, 15798, 86712, 323, 279, 198, 415, 42045, 11175, 13, 578, 63061, 374, 14400, 555, 279, 5137, 198, 415, 1595, 25956, 72755, 7964, 1595, 57966, 1857, 7964, 323, 1595, 544, 2641, 76, 6627, 19884, 256, 220, 18, 8, 52809, 1299, 41353, 627, 415, 6104, 8882, 19534, 12598, 4695, 50, 2997, 659, 69604, 18620, 81967, 1299, 41353, 11, 279, 198, 415, 6514, 374, 4762, 539, 19303, 3403, 520, 279, 4545, 311, 5052, 1579, 328, 20906, 345, 415, 1579, 11175, 828, 2737, 81967, 1299, 41353, 320, 68, 1326, 13, 4245, 311, 86365, 315, 198, 415, 1584, 42338, 505, 15161, 88, 20492, 477, 311, 17395, 6962, 24890, 34805, 430, 198, 415, 527, 2204, 1109, 48317, 24890, 34805, 570, 14636, 27442, 81967, 1299, 5238, 1288, 198, 415, 1935, 1008, 402, 25843, 315, 279, 81967, 1299, 1584, 45209, 26329, 3262, 867, 992, 2065, 198, 415, 17357, 13, 1789, 1633, 3428, 11175, 828, 420, 374, 2753, 315, 459, 4360, 382, 256, 220, 19, 8, 27726, 22761, 354, 24264, 38711, 627, 415, 2684, 527, 5370, 2671, 369, 14892, 449, 279, 57077, 86901, 6211, 198, 415, 11911, 389, 1268, 1664, 499, 1781, 701, 63697, 527, 86085, 323, 422, 499, 198, 415, 1101, 5052, 4604, 7133, 311, 18623, 1523, 279, 86901, 6211, 13, 1472, 649, 30536, 704, 198, 415, 264, 48411, 330, 5531, 18856, 1, 4724, 11, 477, 25291, 5052, 369, 264, 48411, 198, 415, 323, 32873, 553, 927, 279, 48411, 37929, 320, 576, 6276, 499, 311, 2035, 198, 415, 12776, 1105, 389, 279, 13708, 315, 279, 9618, 22761, 354, 24264, 38711, 570, 2582, 499, 649, 198, 415, 1120, 1935, 279, 20326, 439, 14268, 86085, 4286, 4438, 656, 358, 5052, 369, 2579, 13724, 439, 1664, 439, 1023, 5137, 5380, 9411, 27507, 791, 45648, 1648, 374, 311, 1120, 1095, 279, 5852, 26185, 369, 10103, 1, 89, 1171, 41017, 4077, 485, 8630, 430, 433, 374, 1949, 323, 14158, 264, 4972, 369, 433, 320, 4151, 551, 5349, 19258, 6644, 60310, 1442, 499, 1541, 956, 198, 1012, 279, 10103, 1, 108606, 12489, 1, 14196, 5852, 520, 682, 304, 279, 10103, 2590, 6887, 14196, 11240, 345, 3473, 279, 46058, 22828, 6138, 690, 387, 25157, 6089, 505, 279, 2579, 13724, 198, 66463, 264, 468, 18082, 24, 56754, 2508, 382, 791, 1023, 3245, 311, 2567, 304, 4059, 994, 279, 2579, 13724, 374, 1949, 374, 430, 279, 24360, 39, 2643, 198, 1395, 54852, 555, 279, 4325, 315, 279, 15861, 520, 430, 2579, 13724, 320, 68, 1326, 13, 10103, 1, 83, 425, 41017, 4077, 5562, 2744, 387, 2753, 1109, 10103, 83, 5012, 344, 13476, 1171, 8, 14196, 570, 1442, 420, 374, 264, 4747, 11, 499, 649, 1005, 198, 16577, 54070, 320, 33871, 11, 1518, 551, 5349, 19258, 6644, 60310, 45863, 369, 198, 913, 16743, 24360, 39, 82, 832, 1053, 1304, 279, 10103, 1, 83, 425, 1, 14196, 5852, 8521, 719, 353, 20080, 389, 5736, 25, 3368, 31386, 774, 19258, 782, 68182, 8399, 87407, 739, 425, 5791, 530, 359, 344, 63, 323, 923, 264, 502, 198, 14196, 1, 83, 425, 530, 359, 344, 1, 14196, 5852, 430, 34310, 311, 10103, 1, 83, 425, 1, 14196, 439, 264, 19983, 315, 279, 198, 425, 315, 279, 15861, 320, 4291, 2819, 505, 220, 15, 12, 16, 50655, 3923, 24360, 39, 5137, 1288, 358, 1005, 5380, 1434, 7058, 4897, 14117, 389, 279, 12624, 3488, 499, 527, 4560, 311, 4320, 345, 438, 311, 1063, 13112, 389, 279, 828, 430, 499, 617, 4286, 4438, 656, 358, 1005, 279, 2536, 74066, 16743, 24360, 39, 82, 5380, 1434, 35864, 91, 64791, 1878, 91, 374, 47237, 449, 3116, 8689, 315, 2536, 74066, 16743, 6917, 18488, 198, 21843, 2490, 13, 220, 578, 45648, 1646, 18809, 369, 279, 320, 848, 477, 13790, 8, 3148, 14454, 304, 8521, 198, 1712, 29618, 13, 220, 1115, 374, 279, 1455, 19303, 1646, 719, 11383, 3135, 304, 653, 47692, 198, 79, 21864, 389, 4325, 323, 3230, 6917, 18488, 7969, 13, 220, 13596, 1646, 374, 279, 31194, 718, 1169, 198, 16577, 2065, 11784, 304, 198, 63, 273, 5697, 1114, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 22, 10835, 41, 1131, 26244, 497, 8258, 43, 14, 16647, 44726, 39486, 258, 902, 279, 69309, 3230, 6917, 18488, 4478, 369, 8521, 1855, 892, 9736, 198, 19070, 82, 264, 31194, 718, 1169, 8141, 13, 1115, 1646, 374, 70351, 19303, 323, 19159, 198, 47792, 4325, 323, 274, 50, 10725, 12776, 1105, 11, 719, 433, 2103, 6276, 653, 47692, 24360, 39, 82, 449, 17676, 198, 447, 20345, 287, 323, 73484, 367, 4455, 13, 220, 362, 4948, 1646, 11, 279, 50106, 4972, 11, 31442, 198, 15031, 25152, 369, 13708, 555, 21650, 90039, 2403, 1521, 320, 87184, 198, 25742, 291, 653, 47692, 8, 46473, 934, 20345, 287, 323, 73484, 1113, 24360, 39, 82, 13, 1115, 374, 2884, 555, 198, 49033, 264, 4972, 389, 279, 11595, 315, 328, 10725, 82, 304, 24894, 892, 29618, 311, 6106, 264, 11113, 198, 5230, 3294, 315, 328, 10725, 1175, 570, 17830, 11, 279, 19303, 50106, 4972, 52944, 420, 198, 57966, 2136, 90039, 719, 4619, 315, 27442, 369, 279, 3148, 7739, 304, 8521, 29618, 345, 30322, 369, 279, 1404, 315, 892, 29618, 304, 902, 264, 8521, 3392, 315, 3148, 374, 14454, 13, 220, 1115, 198, 65333, 29260, 279, 28558, 2065, 2515, 315, 279, 892, 29618, 304, 9473, 369, 198, 318, 8478, 264, 8187, 3148, 11175, 304, 279, 26403, 24360, 39, 5137, 13, 220, 578, 198, 62344, 315, 1521, 2204, 2536, 913, 16743, 4211, 374, 7863, 323, 13168, 291, 198, 258, 7872, 304, 198, 63, 273, 5697, 777, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 24, 10835, 41, 1131, 25747, 1131, 2096, 34, 14, 16647, 44726, 62, 382, 644, 2015, 311, 1005, 1521, 4211, 11, 3373, 279, 8475, 353, 16577, 743, 3896, 9, 311, 198, 817, 304, 279, 10103, 2590, 6887, 14196, 11240, 13, 220, 1472, 690, 1101, 1205, 311, 1304, 2771, 311, 1005, 198, 1820, 8475, 353, 2484, 9, 1665, 11, 551, 3368, 93064, 19258, 782, 68182, 82937, 1006, 561, 8468, 33, 10949, 63438, 791, 5852, 20506, 527, 743, 709, 311, 5276, 505, 279, 25936, 5137, 198, 2069, 1326, 13, 10103, 22856, 1658, 71575, 3614, 14196, 8, 311, 279, 16188, 5137, 315, 279, 2536, 74066, 16743, 198, 29767, 39, 11, 279, 37015, 29618, 323, 220, 4724, 315, 32738, 14454, 304, 1855, 9736, 13, 220, 2057, 2349, 279, 198, 7006, 65511, 477, 1396, 315, 29618, 11, 3892, 5552, 13878, 315, 279, 5852, 743, 198, 16564, 279, 3160, 315, 3892, 5137, 323, 279, 12776, 1105, 2011, 387, 5614, 198, 15124, 495, 20933, 13, 220, 3580, 198, 25, 3368, 31386, 774, 19258, 782, 68182, 8399, 77207, 80032, 70048, 35594, 33153, 40430, 63, 369, 459, 3187, 4286, 3923, 29618, 1288, 358, 1005, 369, 279, 2536, 74066, 16743, 24360, 39, 5380, 9411, 7233, 5005, 6714, 389, 279, 330, 2985, 2931, 1, 1396, 315, 29618, 311, 1005, 304, 1778, 2536, 74066, 16743, 24360, 39, 82, 374, 264, 198, 13798, 3951, 3488, 13, 220, 578, 71674, 990, 315, 198, 63, 511, 85, 14468, 2705, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 1049, 21, 44, 27416, 1950, 13, 12676, 1131, 2790, 46, 14, 16647, 44726, 13220, 96861, 82, 13489, 220, 605, 9678, 6956, 649, 387, 26403, 505, 9193, 198, 12156, 328, 20906, 432, 28, 1041, 410, 63697, 320, 438, 4832, 4211, 570, 578, 16188, 3575, 374, 430, 198, 1820, 63697, 315, 3254, 4325, 22673, 2349, 14297, 449, 4325, 320, 269, 9501, 25814, 1350, 708, 279, 19564, 315, 1855, 86089, 311, 264, 28814, 20326, 527, 1633, 7701, 198, 451, 19927, 323, 1063, 8547, 315, 88394, 477, 4972, 2038, 374, 2631, 627, 11458, 11, 279, 10728, 88394, 14117, 389, 279, 4712, 64, 4972, 72, 9, 9987, 8, 24360, 39, 315, 279, 198, 16876, 14092, 13, 220, 1789, 3187, 11, 369, 264, 15376, 21165, 832, 1053, 1390, 1690, 15376, 29618, 3221, 198, 1820, 21165, 323, 7029, 29618, 3201, 505, 433, 13, 3816, 59144, 279, 1396, 315, 29618, 13750, 198, 6173, 82, 311, 72618, 279, 4972, 369, 279, 11595, 315, 279, 328, 10725, 304, 1403, 1207, 1481, 1354, 311, 264, 198, 20869, 34849, 520, 220, 16, 13, 220, 12362, 2288, 2478, 29618, 649, 1121, 304, 50183, 304, 279, 1890, 1648, 439, 198, 1820, 3831, 12776, 1105, 27070, 555, 1719, 16743, 4211, 13, 20756, 304, 198, 63, 273, 5697, 777, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 24, 10835, 41, 1131, 25747, 1131, 2096, 34, 14, 16647, 44726, 13220, 96861, 430, 4056, 20, 29618, 527, 26613, 311, 1646, 22590, 8997, 1634, 304, 6913, 5137, 505, 198, 52399, 7133, 11, 719, 810, 29618, 527, 2731, 311, 13488, 11944, 17413, 389, 24360, 39, 82, 4286, 4516, 1288, 358, 1005, 1595, 336, 71696, 7964, 1595, 22129, 273, 7964, 477, 1595, 44185, 41339, 63, 369, 46000, 25936, 5380, 3597, 36308, 1687, 7079, 1701, 279, 1595, 44185, 41339, 63, 24997, 25936, 6462, 382, 644, 5369, 311, 279, 5410, 25936, 10474, 902, 88711, 3196, 389, 279, 4367, 198, 1073, 279, 42304, 315, 279, 99234, 6029, 11, 1595, 44185, 41339, 63, 5764, 264, 17876, 198, 22269, 25936, 10474, 902, 11, 439, 11798, 304, 765, 64791, 1878, 91, 11, 4619, 88711, 198, 31039, 279, 4367, 315, 279, 46000, 42304, 13, 1115, 29790, 279, 1217, 311, 14158, 198, 267, 7153, 13186, 3196, 6089, 389, 279, 4367, 315, 279, 46000, 25936, 449, 198, 1820, 10103, 60371, 6467, 14917, 50662, 14196, 16570, 11, 8405, 2167, 2585, 927, 279, 198, 37171, 12744, 1990, 46000, 4367, 323, 55580, 892, 13, 362, 907, 315, 220, 15, 13, 2437, 369, 198, 576, 16570, 30202, 1579, 22867, 23163, 22625, 11, 20444, 264, 907, 315, 220, 15, 13, 2304, 690, 198, 98374, 13579, 719, 45968, 23163, 22625, 13, 23212, 11, 1595, 44185, 41339, 63, 25936, 198, 4919, 387, 15638, 1534, 304, 765, 64791, 1878, 102373, 420, 19159, 10819, 56541, 892, 520, 279, 198, 16845, 315, 4827, 55580, 15374, 320, 72, 1770, 2637, 17162, 1646, 56181, 824, 5089, 198, 66047, 1697, 892, 570, 1102, 374, 1888, 32599, 369, 5043, 16865, 315, 2678, 10688, 315, 198, 19761, 11, 20444, 3254, 24357, 18809, 8356, 810, 3801, 30154, 11297, 18809, 311, 198, 17185, 10688, 315, 6302, 4286, 3923, 5110, 1288, 358, 1005, 369, 1595, 44185, 41339, 63, 5380, 1434, 29547, 791, 1670, 1595, 44185, 41339, 63, 5110, 304, 765, 64791, 1878, 91, 527, 34440, 369, 264, 198, 10516, 33520, 320, 45, 28, 19, 12, 22, 8, 1646, 13, 35321, 33520, 4211, 449, 810, 6485, 198, 62230, 12908, 690, 4461, 1397, 810, 11084, 1595, 44185, 41339, 63, 5110, 311, 198, 28389, 11297, 323, 32100, 56541, 13, 1115, 3629, 71204, 7859, 279, 198, 4174, 315, 3974, 3585, 11, 10223, 311, 810, 22514, 25936, 38152, 320, 68, 1326, 2637, 505, 198, 39451, 311, 264, 4288, 4321, 705, 6376, 264, 7340, 1396, 315, 734, 6880, 11, 477, 198, 38377, 287, 279, 2218, 6029, 323, 46000, 57240, 13, 4497, 3649, 649, 387, 1766, 198, 258, 1595, 34474, 33774, 508, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 2366, 15, 44, 27416, 1950, 13, 22741, 13, 15231, 17, 50, 14, 16647, 44726, 13220, 438, 279, 1595, 44185, 41339, 2930, 9904, 366, 2485, 1129, 44185, 41339, 4217, 79371, 14460, 4340, 13920, 34249, 14, 46623, 2628, 44726, 62, 627, 791, 1160, 315, 2671, 323, 872, 1670, 2819, 649, 387, 3970, 449, 271, 497, 2082, 9612, 487, 10344, 271, 286, 505, 22199, 8576, 1179, 22199, 8550, 198, 286, 22199, 8550, 5577, 10198, 8550, 13407, 791, 27271, 1550, 539, 80867, 994, 1701, 1595, 44185, 41339, 7964, 3249, 5380, 9411, 27507, 2181, 374, 4461, 430, 814, 1550, 80867, 26, 5296, 430, 279, 56541, 369, 21539, 25936, 198, 1073, 264, 46000, 11612, 374, 539, 4613, 555, 279, 10688, 682, 259, 2518, 9017, 279, 264, 3254, 198, 970, 11, 719, 439, 279, 353, 82816, 9, 315, 10688, 9861, 15528, 13, 220, 578, 10688, 369, 264, 198, 5481, 269, 398, 54852, 5852, 690, 7293, 13882, 77810, 11, 1524, 422, 279, 21539, 198, 98059, 706, 97875, 311, 279, 4495, 353, 82816, 9, 1432, 4438, 656, 358, 1005, 1595, 336, 71696, 63, 304, 765, 64791, 1878, 91, 5380, 1434, 11192, 2520, 1855, 5852, 11, 459, 2926, 907, 320, 14196, 1, 2381, 1, 14196, 304, 279, 5852, 26185, 340, 25849, 387, 2728, 13, 220, 578, 40126, 315, 95737, 374, 17719, 2212, 420, 907, 11, 449, 264, 198, 38, 48072, 9041, 430, 649, 387, 5300, 26214, 369, 1855, 5852, 13, 220, 9062, 198, 45352, 2361, 374, 28995, 520, 1855, 20140, 1701, 5852, 25243, 14592, 198, 1527, 459, 40126, 315, 279, 1023, 95737, 13, 763, 2015, 311, 4732, 709, 2926, 7351, 315, 198, 1820, 9624, 315, 95737, 311, 279, 5654, 315, 5852, 3634, 8649, 1455, 315, 279, 198, 88540, 3148, 11, 5361, 1217, 4613, 20101, 315, 8395, 3502, 1253, 387, 10887, 627, 6153, 1855, 4883, 279, 63624, 8141, 304, 5852, 3634, 374, 312, 69128, 311, 198, 64, 2814, 56522, 49668, 14592, 505, 279, 1888, 220, 1135, 4, 315, 279, 95737, 320, 2940, 1888, 374, 198, 9910, 304, 3878, 315, 46000, 19463, 520, 279, 1566, 20140, 570, 220, 578, 198, 68684, 304, 1521, 8395, 3502, 20101, 527, 44310, 1603, 264, 1620, 5788, 1629, 627, 2181, 374, 3062, 311, 6106, 430, 279, 8957, 315, 95737, 706, 97875, 311, 264, 15528, 198, 33814, 13408, 9, 315, 5852, 2819, 13, 7923, 3326, 14759, 56541, 374, 97059, 26, 264, 1396, 198, 1073, 34824, 617, 1027, 11223, 198, 63, 939, 20306, 1114, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 22, 55062, 4, 1627, 32, 497, 2131, 497, 11702, 50, 14, 16647, 44726, 13220, 16564, 279, 3313, 46713, 23013, 892, 315, 279, 8957, 198, 63, 19045, 1543, 605, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 15, 49413, 6546, 1131, 20, 1131, 2397, 38, 14, 16647, 44726, 62, 627, 17561, 287, 279, 3135, 315, 8821, 27271, 649, 1101, 3493, 264, 47942, 1817, 4286, 4599, 1288, 358, 1005, 26329, 5380, 28914, 11192, 22078, 67064, 649, 387, 10887, 1603, 40126, 386, 10190, 34, 25936, 11, 311, 18979, 279, 198, 22464, 3502, 892, 315, 279, 386, 10190, 34, 12384, 13, 765, 64791, 1878, 91, 5131, 11815, 198, 2356, 1055, 10481, 48535, 447, 569, 83, 3325, 1355, 41956, 26329, 323, 44109, 596, 1749, 11, 439, 198, 55171, 304, 1595, 91792, 14149, 366, 2485, 1129, 2185, 7840, 23799, 2726, 44726, 5056, 1102, 374, 3284, 311, 1212, 198, 19680, 8200, 505, 264, 1396, 315, 2204, 5852, 2819, 11, 15107, 505, 279, 4972, 198, 16577, 8141, 11, 304, 2015, 311, 50460, 279, 5435, 37260, 555, 2254, 1973, 7675, 382, 9290, 430, 420, 26329, 1749, 7612, 430, 279, 1396, 315, 828, 3585, 198, 7, 52399, 7133, 477, 66425, 2445, 3368, 8, 387, 8294, 1109, 279, 1396, 315, 1949, 1646, 5137, 4286, 4438, 656, 358, 7234, 279, 1888, 5052, 328, 1507, 30, 220, 2650, 656, 358, 7234, 69867, 389, 430, 5380, 3597, 35864, 91, 64791, 1878, 91, 649, 12849, 323, 3637, 279, 328, 1507, 20212, 369, 279, 8592, 19463, 198, 13925, 11, 304, 279, 10103, 1, 16241, 6410, 1, 14196, 1912, 315, 279, 2612, 81340, 20, 1052, 382, 9290, 430, 279, 8592, 19463, 6205, 374, 353, 1962, 9, 279, 1890, 439, 279, 7340, 264, 198, 2252, 14917, 72, 320, 18082, 8, 6425, 13, 220, 578, 28322, 6425, 26318, 1220, 264, 5355, 11218, 398, 2678, 5654, 198, 1073, 279, 4972, 5852, 3634, 26, 433, 374, 76821, 17821, 430, 279, 386, 10190, 34, 42899, 198, 41450, 4034, 7041, 430, 3813, 13, 220, 24296, 11, 994, 3544, 5367, 804, 27121, 527, 198, 29844, 11, 279, 7340, 264, 46000, 72, 5137, 1253, 387, 1193, 1633, 10284, 810, 198, 14617, 1109, 1690, 10105, 449, 1633, 2204, 5137, 382, 1271, 7234, 69867, 584, 7079, 1239, 94207, 328, 1507, 20492, 369, 264, 6762, 198, 13925, 505, 279, 46000, 11612, 323, 77472, 10484, 3742, 315, 279, 31405, 520, 1855, 198, 86, 35961, 382, 4438, 656, 358, 636, 279, 46406, 1358, 369, 45002, 63697, 323, 5255, 4604, 7133, 994, 27442, 1193, 4604, 7133, 5380, 99574, 27507, 4599, 27442, 1193, 4604, 7133, 11, 279, 353, 4014, 6906, 9, 46406, 1358, 369, 279, 19698, 198, 82, 39806, 649, 387, 1766, 304, 279, 10103, 86, 35961, 82, 14196, 7180, 315, 198, 25, 3368, 93064, 19258, 782, 68182, 82937, 815, 4695, 33, 10949, 29687, 220, 578, 93959, 315, 279, 13711, 649, 387, 198, 677, 83, 2692, 505, 279, 10103, 31498, 28224, 535, 14196, 7180, 315, 1855, 4141, 304, 279, 198, 14196, 5598, 1204, 25630, 1365, 14196, 1160, 382, 15346, 358, 5052, 63697, 304, 279, 2800, 6906, 477, 279, 13468, 4124, 5380, 9411, 57439, 2675, 649, 656, 3060, 422, 499, 527, 27442, 1193, 63697, 13, 1442, 27442, 304, 279, 2800, 6906, 198, 3473, 279, 6138, 706, 311, 387, 5300, 21650, 4669, 264, 10103, 108606, 12489, 14196, 1646, 198, 16577, 1606, 6062, 433, 374, 68695, 505, 279, 2579, 13724, 902, 369, 2800, 6906, 198, 68182, 969, 374, 220, 15, 382, 2746, 499, 527, 27442, 4604, 7133, 323, 66425, 51856, 1243, 499, 1288, 387, 27442, 279, 198, 5598, 2841, 4124, 63697, 4286, 3923, 12776, 1105, 1288, 358, 1005, 5380, 776, 29547, 4897, 14117, 389, 279, 12624, 3488, 323, 279, 6302, 1234, 18361, 627, 644, 4689, 584, 7079, 1701, 39319, 12776, 1105, 320, 68, 1326, 13, 15376, 10103, 12484, 85374, 67, 18478, 8, 369, 5137, 430, 499, 1781, 2643, 5030, 520, 682, 4286, 3923, 8741, 422, 264, 5852, 374, 539, 1664, 54852, 30, 220, 3277, 1288, 358, 5155, 5137, 5380, 44549, 11192, 2746, 1063, 5852, 374, 6724, 26118, 58827, 499, 690, 636, 1203, 279, 4972, 13, 2684, 198, 548, 1101, 320, 61917, 8, 5157, 1405, 499, 527, 330, 65333, 90723, 498, 602, 1770, 13, 279, 46000, 374, 198, 63995, 743, 555, 279, 4972, 719, 449, 264, 2678, 18713, 65916, 4245, 311, 2678, 15055, 315, 198, 26125, 17665, 555, 279, 828, 13, 1472, 649, 9616, 279, 46000, 311, 279, 4972, 345, 68, 1326, 13, 1701, 279, 735, 620, 1445, 8288, 648, 78562, 82258, 1990, 279, 1403, 43785, 11, 311, 1518, 198, 333, 499, 617, 9687, 4205, 922, 430, 5852, 13, 2582, 1120, 927, 4569, 279, 4972, 389, 198, 1820, 76820, 281, 24317, 82, 271, 1271, 387, 7373, 42805, 499, 1288, 1193, 5155, 5137, 422, 271, 220, 482, 499, 527, 1633, 2771, 315, 872, 2819, 280, 220, 482, 477, 422, 499, 1541, 956, 1781, 10223, 279, 5852, 690, 617, 264, 43426, 2515, 389, 279, 1646, 280, 220, 482, 477, 422, 264, 5852, 374, 14268, 5367, 13523, 320, 258, 279, 3634, 315, 279, 828, 8, 449, 2500, 5852, 382, 644, 6725, 5137, 430, 617, 1193, 264, 2678, 2515, 719, 1935, 264, 2294, 3568, 315, 198, 1712, 311, 13592, 527, 3629, 8521, 4286, 3923, 656, 358, 656, 922, 8582, 13693, 5380, 1434, 198, 75344, 750, 499, 690, 617, 31405, 22323, 323, 5938, 49668, 27924, 369, 198, 30115, 4141, 477, 46406, 11, 1524, 422, 279, 19179, 374, 315, 264, 8389, 907, 627, 1360, 716, 398, 24043, 369, 8582, 13693, 18065, 264, 14738, 17395, 7652, 1133, 198, 998, 279, 29736, 734, 320, 4151, 65814, 362, 1595, 6881, 198, 27, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 17, 47, 66204, 497, 8874, 13, 4364, 23, 50, 14, 16647, 44726, 66116, 719, 264, 198, 47792, 57304, 649, 387, 1903, 555, 6376, 279, 31405, 311, 7315, 323, 279, 198, 1371, 81246, 311, 279, 220, 16, 1355, 11750, 8582, 4017, 4286, 3923, 656, 358, 656, 449, 279, 8957, 30, 220, 3639, 2819, 1288, 358, 1934, 5380, 9411, 14665, 2028, 374, 264, 4689, 3488, 369, 21539, 25936, 12823, 13, 220, 3580, 1595, 939, 20306, 1114, 198, 27, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 22, 55062, 4, 1627, 32, 497, 2131, 497, 11702, 50, 14, 16647, 44726, 477, 198, 63, 34474, 33774, 777, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 24, 277, 55, 344, 7028, 22750, 15231, 50, 14, 16647, 44726, 369, 198, 329, 1805, 4286, 10445, 4536, 956, 279, 46000, 11612, 31288, 389, 279, 8592, 46000, 19463, 6205, 5380, 44549, 10669, 4438, 656, 358, 14532, 279, 1595, 2312, 88540, 63, 477, 1595, 2312, 79, 63, 2819, 30, 8595, 656, 358, 636, 1595, 2312, 79, 871, 220, 15, 63, 5380, 23151, 45464, 4438, 656, 358, 1440, 422, 32134, 19534, 374, 330, 21837, 1, 5380, 1434, 23573, 1038, 497, 765, 64791, 1878, 91, 8454, 487, 32134, 19534, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 27, 8570, 29, 5349, 14, 46623, 1783, 267, 198, 37, 70941, 53763, 24271, 198, 1547, 44356, 271, 4438, 656, 358, 923, 4141, 18874, 37033, 5380, 1434, 29765, 8607, 7224, 1005, 4040, 4141, 6067, 430, 527, 539, 4689, 477, 13882, 1511, 627, 2181, 374, 4228, 311, 923, 264, 743, 315, 2587, 4141, 37033, 13, 12619, 41579, 527, 18073, 198, 1729, 279, 1595, 32424, 3368, 366, 2485, 1129, 5316, 916, 3554, 67, 13636, 2754, 291, 3368, 44726, 62, 2082, 13, 3580, 279, 32072, 1595, 19041, 198, 27, 2485, 25, 5316, 916, 3554, 67, 13636, 2754, 291, 3368, 35927, 15711, 27057, 14, 46623, 1783, 267, 44726, 62, 369, 11944, 11470, 198, 263, 7999, 4141, 30570, 2396, 4286, 3923, 8316, 5380, 26999, 46015, 19534, 308, 8046, 5829, 353, 76, 16094, 552, 9, 369, 2225, 63697, 323, 4604, 7133, 11, 323, 433, 374, 198, 68, 10426, 478, 422, 499, 8312, 828, 304, 1521, 8316, 13, 4983, 68469, 527, 264, 31405, 17915, 30354, 10590, 19258, 69, 15511, 59, 9110, 5658, 8, 5089, 198, 9910, 439, 622, 41874, 1065, 14, 18199, 16, 13, 468, 35961, 82, 527, 353, 54803, 21066, 9, 7568, 35155, 82, 555, 1670, 13, 3296, 198, 2309, 11, 32738, 527, 304, 13238, 32738, 315, 9958, 353, 10365, 12594, 602, 1770, 13, 279, 26154, 315, 279, 198, 29767, 39, 13, 7181, 430, 420, 374, 2204, 1109, 40746, 13238, 32738, 320, 24567, 311, 48317, 198, 27428, 4814, 50655, 4438, 1317, 690, 433, 1935, 311, 5052, 856, 828, 5380, 1434, 35864, 4897, 14117, 627, 8586, 527, 1063, 14595, 85898, 369, 1855, 29736, 1650, 304, 5370, 15082, 320, 12214, 2239, 463, 696, 256, 489, 220, 605, 7200, 4604, 7133, 11, 912, 81967, 1299, 41353, 11, 912, 16174, 41353, 25, 220, 15, 13, 8759, 82, 198, 256, 489, 4604, 7133, 11, 2737, 81967, 1299, 41353, 25, 220, 15, 13, 2371, 82, 198, 256, 489, 66425, 51856, 2737, 61136, 63061, 25, 220, 15, 13, 2304, 82, 1432, 9290, 430, 279, 2926, 29736, 6880, 690, 387, 320, 59178, 8, 5129, 1109, 420, 13, 220, 9636, 198, 1820, 28314, 11, 279, 1176, 892, 433, 374, 2663, 10344, 7424, 4695, 50, 58303, 323, 54688, 1690, 198, 31548, 1385, 430, 527, 69843, 304, 17876, 6880, 382, 8607, 29736, 56181, 1253, 387, 2631, 369, 279, 25936, 311, 80867, 13, 1115, 198, 59047, 389, 279, 3169, 315, 1646, 499, 527, 27442, 323, 1202, 13167, 2786, 11, 279, 198, 98059, 12384, 1694, 1511, 11, 323, 279, 3169, 315, 828, 430, 499, 617, 13, 220, 30192, 477, 198, 17206, 2919, 824, 5052, 374, 539, 41296, 369, 810, 6485, 4211, 4286, 6854, 358, 5052, 856, 20326, 2288, 5380, 776, 14665, 3947, 527, 3892, 5066, 38864, 430, 2586, 709, 994, 27442, 66425, 51856, 271, 256, 220, 16, 8, 468, 35961, 2134, 323, 11175, 627, 415, 32134, 19534, 374, 3196, 389, 435, 4695, 50, 11, 902, 5829, 279, 386, 47078, 57077, 6875, 13, 4314, 198, 415, 617, 264, 11175, 315, 4056, 17, 13, 20, 32, 435, 20484, 44, 505, 220, 12935, 15, 6157, 482, 220, 13104, 15, 6157, 2800, 6906, 11, 323, 1790, 198, 415, 4827, 320, 49, 93, 1049, 477, 779, 11, 719, 539, 3604, 1664, 4613, 8, 4994, 420, 2134, 627, 415, 35321, 11175, 828, 320, 10924, 2737, 2225, 15798, 86712, 323, 198, 415, 42045, 11175, 8, 477, 57077, 3585, 4994, 420, 2134, 4250, 3686, 198, 415, 387, 5052, 382, 256, 220, 17, 8, 25368, 398, 11, 1584, 9041, 734, 627, 415, 32134, 19534, 5764, 5528, 369, 61136, 3196, 63061, 315, 279, 63697, 345, 415, 26619, 264, 64547, 445, 29767, 320, 258, 3060, 46406, 477, 15798, 3634, 570, 2684, 374, 198, 415, 1101, 279, 13336, 315, 61136, 3196, 63061, 369, 46406, 18222, 198, 415, 64547, 86712, 320, 72, 1770, 13, 20868, 52984, 284, 282, 18705, 8, 449, 282, 11000, 264, 198, 415, 48411, 315, 12741, 570, 763, 6725, 279, 93939, 63697, 690, 387, 264, 198, 415, 10824, 315, 279, 6875, 11175, 5636, 8996, 61136, 63061, 374, 198, 415, 9435, 13, 38994, 420, 649, 387, 1903, 311, 2489, 701, 5150, 828, 11175, 345, 415, 902, 374, 264, 10824, 315, 279, 7106, 15798, 86712, 323, 279, 198, 415, 42045, 11175, 13, 578, 63061, 374, 14400, 555, 279, 5137, 198, 415, 1595, 25956, 72755, 7964, 1595, 57966, 1857, 7964, 323, 1595, 544, 2641, 76, 6627, 19884, 256, 220, 18, 8, 52809, 1299, 41353, 627, 415, 6104, 8882, 19534, 12598, 4695, 50, 2997, 659, 69604, 18620, 81967, 1299, 41353, 11, 279, 198, 415, 6514, 374, 4762, 539, 19303, 3403, 520, 279, 4545, 311, 5052, 1579, 328, 20906, 345, 415, 1579, 11175, 828, 2737, 81967, 1299, 41353, 320, 68, 1326, 13, 4245, 311, 86365, 315, 198, 415, 1584, 42338, 505, 15161, 88, 20492, 477, 311, 17395, 6962, 24890, 34805, 430, 198, 415, 527, 2204, 1109, 48317, 24890, 34805, 570, 14636, 27442, 81967, 1299, 5238, 1288, 198, 415, 1935, 1008, 402, 25843, 315, 279, 81967, 1299, 1584, 45209, 26329, 3262, 867, 992, 2065, 198, 415, 17357, 13, 1789, 1633, 3428, 11175, 828, 420, 374, 2753, 315, 459, 4360, 382, 256, 220, 19, 8, 27726, 22761, 354, 24264, 38711, 627, 415, 2684, 527, 5370, 2671, 369, 14892, 449, 279, 57077, 86901, 6211, 198, 415, 11911, 389, 1268, 1664, 499, 1781, 701, 63697, 527, 86085, 323, 422, 499, 198, 415, 1101, 5052, 4604, 7133, 311, 18623, 1523, 279, 86901, 6211, 13, 1472, 649, 30536, 704, 198, 415, 264, 48411, 330, 5531, 18856, 1, 4724, 11, 477, 25291, 5052, 369, 264, 48411, 198, 415, 323, 32873, 553, 927, 279, 48411, 37929, 320, 576, 6276, 499, 311, 2035, 198, 415, 12776, 1105, 389, 279, 13708, 315, 279, 9618, 22761, 354, 24264, 38711, 570, 2582, 499, 649, 198, 415, 1120, 1935, 279, 20326, 439, 14268, 86085, 4286, 4438, 656, 358, 5052, 369, 2579, 13724, 439, 1664, 439, 1023, 5137, 5380, 9411, 27507, 791, 45648, 1648, 374, 311, 1120, 1095, 279, 5852, 26185, 369, 10103, 1, 89, 1171, 41017, 4077, 485, 8630, 430, 433, 374, 1949, 323, 14158, 264, 4972, 369, 433, 320, 4151, 551, 5349, 19258, 6644, 60310, 1442, 499, 1541, 956, 198, 1012, 279, 10103, 1, 108606, 12489, 1, 14196, 5852, 520, 682, 304, 279, 10103, 2590, 6887, 14196, 11240, 345, 3473, 279, 46058, 22828, 6138, 690, 387, 25157, 6089, 505, 279, 2579, 13724, 198, 66463, 264, 468, 18082, 24, 56754, 2508, 382, 791, 1023, 3245, 311, 2567, 304, 4059, 994, 279, 2579, 13724, 374, 1949, 374, 430, 279, 24360, 39, 2643, 198, 1395, 54852, 555, 279, 4325, 315, 279, 15861, 520, 430, 2579, 13724, 320, 68, 1326, 13, 10103, 1, 83, 425, 41017, 4077, 5562, 2744, 387, 2753, 1109, 10103, 83, 5012, 344, 13476, 1171, 8, 14196, 570, 1442, 420, 374, 264, 4747, 11, 499, 649, 1005, 198, 16577, 54070, 320, 33871, 11, 1518, 551, 5349, 19258, 6644, 60310, 45863, 369, 198, 913, 16743, 24360, 39, 82, 832, 1053, 1304, 279, 10103, 1, 83, 425, 1, 14196, 5852, 8521, 719, 353, 20080, 389, 5736, 25, 3368, 31386, 774, 19258, 782, 68182, 8399, 87407, 739, 425, 5791, 530, 359, 344, 63, 323, 923, 264, 502, 198, 14196, 1, 83, 425, 530, 359, 344, 1, 14196, 5852, 430, 34310, 311, 10103, 1, 83, 425, 1, 14196, 439, 264, 19983, 315, 279, 198, 425, 315, 279, 15861, 320, 4291, 2819, 505, 220, 15, 12, 16, 50655, 3923, 24360, 39, 5137, 1288, 358, 1005, 5380, 1434, 7058, 4897, 14117, 389, 279, 12624, 3488, 499, 527, 4560, 311, 4320, 345, 438, 311, 1063, 13112, 389, 279, 828, 430, 499, 617, 4286, 4438, 656, 358, 1005, 279, 2536, 74066, 16743, 24360, 39, 82, 5380, 1434, 35864, 91, 64791, 1878, 91, 374, 47237, 449, 3116, 8689, 315, 2536, 74066, 16743, 6917, 18488, 198, 21843, 2490, 13, 220, 578, 45648, 1646, 18809, 369, 279, 320, 848, 477, 13790, 8, 3148, 14454, 304, 8521, 198, 1712, 29618, 13, 220, 1115, 374, 279, 1455, 19303, 1646, 719, 11383, 3135, 304, 653, 47692, 198, 79, 21864, 389, 4325, 323, 3230, 6917, 18488, 7969, 13, 220, 13596, 1646, 374, 279, 31194, 718, 1169, 198, 16577, 2065, 11784, 304, 198, 63, 273, 5697, 1114, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 22, 10835, 41, 1131, 26244, 497, 8258, 43, 14, 16647, 44726, 39486, 258, 902, 279, 69309, 3230, 6917, 18488, 4478, 369, 8521, 1855, 892, 9736, 198, 19070, 82, 264, 31194, 718, 1169, 8141, 13, 1115, 1646, 374, 70351, 19303, 323, 19159, 198, 47792, 4325, 323, 274, 50, 10725, 12776, 1105, 11, 719, 433, 2103, 6276, 653, 47692, 24360, 39, 82, 449, 17676, 198, 447, 20345, 287, 323, 73484, 367, 4455, 13, 220, 362, 4948, 1646, 11, 279, 50106, 4972, 11, 31442, 198, 15031, 25152, 369, 13708, 555, 21650, 90039, 2403, 1521, 320, 87184, 198, 25742, 291, 653, 47692, 8, 46473, 934, 20345, 287, 323, 73484, 1113, 24360, 39, 82, 13, 1115, 374, 2884, 555, 198, 49033, 264, 4972, 389, 279, 11595, 315, 328, 10725, 82, 304, 24894, 892, 29618, 311, 6106, 264, 11113, 198, 5230, 3294, 315, 328, 10725, 1175, 570, 17830, 11, 279, 19303, 50106, 4972, 52944, 420, 198, 57966, 2136, 90039, 719, 4619, 315, 27442, 369, 279, 3148, 7739, 304, 8521, 29618, 345, 30322, 369, 279, 1404, 315, 892, 29618, 304, 902, 264, 8521, 3392, 315, 3148, 374, 14454, 13, 220, 1115, 198, 65333, 29260, 279, 28558, 2065, 2515, 315, 279, 892, 29618, 304, 9473, 369, 198, 318, 8478, 264, 8187, 3148, 11175, 304, 279, 26403, 24360, 39, 5137, 13, 220, 578, 198, 62344, 315, 1521, 2204, 2536, 913, 16743, 4211, 374, 7863, 323, 13168, 291, 198, 258, 7872, 304, 198, 63, 273, 5697, 777, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 24, 10835, 41, 1131, 25747, 1131, 2096, 34, 14, 16647, 44726, 62, 382, 644, 2015, 311, 1005, 1521, 4211, 11, 3373, 279, 8475, 353, 16577, 743, 3896, 9, 311, 198, 817, 304, 279, 10103, 2590, 6887, 14196, 11240, 13, 220, 1472, 690, 1101, 1205, 311, 1304, 2771, 311, 1005, 198, 1820, 8475, 353, 2484, 9, 1665, 11, 551, 3368, 93064, 19258, 782, 68182, 82937, 1006, 561, 8468, 33, 10949, 63438, 791, 5852, 20506, 527, 743, 709, 311, 5276, 505, 279, 25936, 5137, 198, 2069, 1326, 13, 10103, 22856, 1658, 71575, 3614, 14196, 8, 311, 279, 16188, 5137, 315, 279, 2536, 74066, 16743, 198, 29767, 39, 11, 279, 37015, 29618, 323, 220, 4724, 315, 32738, 14454, 304, 1855, 9736, 13, 220, 2057, 2349, 279, 198, 7006, 65511, 477, 1396, 315, 29618, 11, 3892, 5552, 13878, 315, 279, 5852, 743, 198, 16564, 279, 3160, 315, 3892, 5137, 323, 279, 12776, 1105, 2011, 387, 5614, 198, 15124, 495, 20933, 13, 220, 3580, 198, 25, 3368, 31386, 774, 19258, 782, 68182, 8399, 77207, 80032, 70048, 35594, 33153, 40430, 63, 369, 459, 3187, 4286, 3923, 29618, 1288, 358, 1005, 369, 279, 2536, 74066, 16743, 24360, 39, 5380, 9411, 7233, 5005, 6714, 389, 279, 330, 2985, 2931, 1, 1396, 315, 29618, 311, 1005, 304, 1778, 2536, 74066, 16743, 24360, 39, 82, 374, 264, 198, 13798, 3951, 3488, 13, 220, 578, 71674, 990, 315, 198, 63, 511, 85, 14468, 2705, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 1049, 21, 44, 27416, 1950, 13, 12676, 1131, 2790, 46, 14, 16647, 44726, 13220, 96861, 82, 13489, 220, 605, 9678, 6956, 649, 387, 26403, 505, 9193, 198, 12156, 328, 20906, 432, 28, 1041, 410, 63697, 320, 438, 4832, 4211, 570, 578, 16188, 3575, 374, 430, 198, 1820, 63697, 315, 3254, 4325, 22673, 2349, 14297, 449, 4325, 320, 269, 9501, 25814, 1350, 708, 279, 19564, 315, 1855, 86089, 311, 264, 28814, 20326, 527, 1633, 7701, 198, 451, 19927, 323, 1063, 8547, 315, 88394, 477, 4972, 2038, 374, 2631, 627, 11458, 11, 279, 10728, 88394, 14117, 389, 279, 4712, 64, 4972, 72, 9, 9987, 8, 24360, 39, 315, 279, 198, 16876, 14092, 13, 220, 1789, 3187, 11, 369, 264, 15376, 21165, 832, 1053, 1390, 1690, 15376, 29618, 3221, 198, 1820, 21165, 323, 7029, 29618, 3201, 505, 433, 13, 3816, 59144, 279, 1396, 315, 29618, 13750, 198, 6173, 82, 311, 72618, 279, 4972, 369, 279, 11595, 315, 279, 328, 10725, 304, 1403, 1207, 1481, 1354, 311, 264, 198, 20869, 34849, 520, 220, 16, 13, 220, 12362, 2288, 2478, 29618, 649, 1121, 304, 50183, 304, 279, 1890, 1648, 439, 198, 1820, 3831, 12776, 1105, 27070, 555, 1719, 16743, 4211, 13, 20756, 304, 198, 63, 273, 5697, 777, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 24, 10835, 41, 1131, 25747, 1131, 2096, 34, 14, 16647, 44726, 13220, 96861, 430, 4056, 20, 29618, 527, 26613, 311, 1646, 22590, 8997, 1634, 304, 6913, 5137, 505, 198, 52399, 7133, 11, 719, 810, 29618, 527, 2731, 311, 13488, 11944, 17413, 389, 24360, 39, 82, 4286, 4516, 1288, 358, 1005, 1595, 336, 71696, 7964, 1595, 22129, 273, 7964, 477, 1595, 44185, 41339, 63, 369, 46000, 25936, 5380, 3597, 36308, 1687, 7079, 1701, 279, 1595, 44185, 41339, 63, 24997, 25936, 6462, 382, 644, 5369, 311, 279, 5410, 25936, 10474, 902, 88711, 3196, 389, 279, 4367, 198, 1073, 279, 42304, 315, 279, 99234, 6029, 11, 1595, 44185, 41339, 63, 5764, 264, 17876, 198, 22269, 25936, 10474, 902, 11, 439, 11798, 304, 765, 64791, 1878, 91, 11, 4619, 88711, 198, 31039, 279, 4367, 315, 279, 46000, 42304, 13, 1115, 29790, 279, 1217, 311, 14158, 198, 267, 7153, 13186, 3196, 6089, 389, 279, 4367, 315, 279, 46000, 25936, 449, 198, 1820, 10103, 60371, 6467, 14917, 50662, 14196, 16570, 11, 8405, 2167, 2585, 927, 279, 198, 37171, 12744, 1990, 46000, 4367, 323, 55580, 892, 13, 362, 907, 315, 220, 15, 13, 2437, 369, 198, 576, 16570, 30202, 1579, 22867, 23163, 22625, 11, 20444, 264, 907, 315, 220, 15, 13, 2304, 690, 198, 98374, 13579, 719, 45968, 23163, 22625, 13, 23212, 11, 1595, 44185, 41339, 63, 25936, 198, 4919, 387, 15638, 1534, 304, 765, 64791, 1878, 102373, 420, 19159, 10819, 56541, 892, 520, 279, 198, 16845, 315, 4827, 55580, 15374, 320, 72, 1770, 2637, 17162, 1646, 56181, 824, 5089, 198, 66047, 1697, 892, 570, 1102, 374, 1888, 32599, 369, 5043, 16865, 315, 2678, 10688, 315, 198, 19761, 11, 20444, 3254, 24357, 18809, 8356, 810, 3801, 30154, 11297, 18809, 311, 198, 17185, 10688, 315, 6302, 4286, 3923, 5110, 1288, 358, 1005, 369, 1595, 44185, 41339, 63, 5380, 1434, 29547, 791, 1670, 1595, 44185, 41339, 63, 5110, 304, 765, 64791, 1878, 91, 527, 34440, 369, 264, 198, 10516, 33520, 320, 45, 28, 19, 12, 22, 8, 1646, 13, 35321, 33520, 4211, 449, 810, 6485, 198, 62230, 12908, 690, 4461, 1397, 810, 11084, 1595, 44185, 41339, 63, 5110, 311, 198, 28389, 11297, 323, 32100, 56541, 13, 1115, 3629, 71204, 7859, 279, 198, 4174, 315, 3974, 3585, 11, 10223, 311, 810, 22514, 25936, 38152, 320, 68, 1326, 2637, 505, 198, 39451, 311, 264, 4288, 4321, 705, 6376, 264, 7340, 1396, 315, 734, 6880, 11, 477, 198, 38377, 287, 279, 2218, 6029, 323, 46000, 57240, 13, 4497, 3649, 649, 387, 1766, 198, 258, 1595, 34474, 33774, 508, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 2366, 15, 44, 27416, 1950, 13, 22741, 13, 15231, 17, 50, 14, 16647, 44726, 13220, 438, 279, 1595, 44185, 41339, 2930, 9904, 366, 2485, 1129, 44185, 41339, 4217, 79371, 14460, 4340, 13920, 34249, 14, 46623, 2628, 44726, 62, 627, 791, 1160, 315, 2671, 323, 872, 1670, 2819, 649, 387, 3970, 449, 271, 497, 2082, 9612, 487, 10344, 271, 286, 505, 22199, 8576, 1179, 22199, 8550, 198, 286, 22199, 8550, 5577, 10198, 8550, 13407, 791, 27271, 1550, 539, 80867, 994, 1701, 1595, 44185, 41339, 7964, 3249, 5380, 9411, 27507, 2181, 374, 4461, 430, 814, 1550, 80867, 26, 5296, 430, 279, 56541, 369, 21539, 25936, 198, 1073, 264, 46000, 11612, 374, 539, 4613, 555, 279, 10688, 682, 259, 2518, 9017, 279, 264, 3254, 198, 970, 11, 719, 439, 279, 353, 82816, 9, 315, 10688, 9861, 15528, 13, 220, 578, 10688, 369, 264, 198, 5481, 269, 398, 54852, 5852, 690, 7293, 13882, 77810, 11, 1524, 422, 279, 21539, 198, 98059, 706, 97875, 311, 279, 4495, 353, 82816, 9, 1432, 4438, 656, 358, 1005, 1595, 336, 71696, 63, 304, 765, 64791, 1878, 91, 5380, 1434, 11192, 2520, 1855, 5852, 11, 459, 2926, 907, 320, 14196, 1, 2381, 1, 14196, 304, 279, 5852, 26185, 340, 25849, 387, 2728, 13, 220, 578, 40126, 315, 95737, 374, 17719, 2212, 420, 907, 11, 449, 264, 198, 38, 48072, 9041, 430, 649, 387, 5300, 26214, 369, 1855, 5852, 13, 220, 9062, 198, 45352, 2361, 374, 28995, 520, 1855, 20140, 1701, 5852, 25243, 14592, 198, 1527, 459, 40126, 315, 279, 1023, 95737, 13, 763, 2015, 311, 4732, 709, 2926, 7351, 315, 198, 1820, 9624, 315, 95737, 311, 279, 5654, 315, 5852, 3634, 8649, 1455, 315, 279, 198, 88540, 3148, 11, 5361, 1217, 4613, 20101, 315, 8395, 3502, 1253, 387, 10887, 627, 6153, 1855, 4883, 279, 63624, 8141, 304, 5852, 3634, 374, 312, 69128, 311, 198, 64, 2814, 56522, 49668, 14592, 505, 279, 1888, 220, 1135, 4, 315, 279, 95737, 320, 2940, 1888, 374, 198, 9910, 304, 3878, 315, 46000, 19463, 520, 279, 1566, 20140, 570, 220, 578, 198, 68684, 304, 1521, 8395, 3502, 20101, 527, 44310, 1603, 264, 1620, 5788, 1629, 627, 2181, 374, 3062, 311, 6106, 430, 279, 8957, 315, 95737, 706, 97875, 311, 264, 15528, 198, 33814, 13408, 9, 315, 5852, 2819, 13, 7923, 3326, 14759, 56541, 374, 97059, 26, 264, 1396, 198, 1073, 34824, 617, 1027, 11223, 198, 63, 939, 20306, 1114, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 22, 55062, 4, 1627, 32, 497, 2131, 497, 11702, 50, 14, 16647, 44726, 13220, 16564, 279, 3313, 46713, 23013, 892, 315, 279, 8957, 198, 63, 19045, 1543, 605, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 15, 49413, 6546, 1131, 20, 1131, 2397, 38, 14, 16647, 44726, 62, 627, 17561, 287, 279, 3135, 315, 8821, 27271, 649, 1101, 3493, 264, 47942, 1817, 4286, 4599, 1288, 358, 1005, 26329, 5380, 28914, 11192, 22078, 67064, 649, 387, 10887, 1603, 40126, 386, 10190, 34, 25936, 11, 311, 18979, 279, 198, 22464, 3502, 892, 315, 279, 386, 10190, 34, 12384, 13, 765, 64791, 1878, 91, 5131, 11815, 198, 2356, 1055, 10481, 48535, 447, 569, 83, 3325, 1355, 41956, 26329, 323, 44109, 596, 1749, 11, 439, 198, 55171, 304, 1595, 91792, 14149, 366, 2485, 1129, 2185, 7840, 23799, 2726, 44726, 5056, 1102, 374, 3284, 311, 1212, 198, 19680, 8200, 505, 264, 1396, 315, 2204, 5852, 2819, 11, 15107, 505, 279, 4972, 198, 16577, 8141, 11, 304, 2015, 311, 50460, 279, 5435, 37260, 555, 2254, 1973, 7675, 382, 9290, 430, 420, 26329, 1749, 7612, 430, 279, 1396, 315, 828, 3585, 198, 7, 52399, 7133, 477, 66425, 2445, 3368, 8, 387, 8294, 1109, 279, 1396, 315, 1949, 1646, 5137, 4286, 4438, 656, 358, 7234, 279, 1888, 5052, 328, 1507, 30, 220, 2650, 656, 358, 7234, 69867, 389, 430, 5380, 3597, 35864, 91, 64791, 1878, 91, 649, 12849, 323, 3637, 279, 328, 1507, 20212, 369, 279, 8592, 19463, 198, 13925, 11, 304, 279, 10103, 1, 16241, 6410, 1, 14196, 1912, 315, 279, 2612, 81340, 20, 1052, 382, 9290, 430, 279, 8592, 19463, 6205, 374, 353, 1962, 9, 279, 1890, 439, 279, 7340, 264, 198, 2252, 14917, 72, 320, 18082, 8, 6425, 13, 220, 578, 28322, 6425, 26318, 1220, 264, 5355, 11218, 398, 2678, 5654, 198, 1073, 279, 4972, 5852, 3634, 26, 433, 374, 76821, 17821, 430, 279, 386, 10190, 34, 42899, 198, 41450, 4034, 7041, 430, 3813, 13, 220, 24296, 11, 994, 3544, 5367, 804, 27121, 527, 198, 29844, 11, 279, 7340, 264, 46000, 72, 5137, 1253, 387, 1193, 1633, 10284, 810, 198, 14617, 1109, 1690, 10105, 449, 1633, 2204, 5137, 382, 1271, 7234, 69867, 584, 7079, 1239, 94207, 328, 1507, 20492, 369, 264, 6762, 198, 13925, 505, 279, 46000, 11612, 323, 77472, 10484, 3742, 315, 279, 31405, 520, 1855, 198, 86, 35961, 382, 4438, 656, 358, 636, 279, 46406, 1358, 369, 45002, 63697, 323, 5255, 4604, 7133, 994, 27442, 1193, 4604, 7133, 5380, 99574, 27507, 4599, 27442, 1193, 4604, 7133, 11, 279, 353, 4014, 6906, 9, 46406, 1358, 369, 279, 19698, 198, 82, 39806, 649, 387, 1766, 304, 279, 10103, 86, 35961, 82, 14196, 7180, 315, 198, 25, 3368, 93064, 19258, 782, 68182, 82937, 815, 4695, 33, 10949, 29687, 220, 578, 93959, 315, 279, 13711, 649, 387, 198, 677, 83, 2692, 505, 279, 10103, 31498, 28224, 535, 14196, 7180, 315, 1855, 4141, 304, 279, 198, 14196, 5598, 1204, 25630, 1365, 14196, 1160, 382, 15346, 358, 5052, 63697, 304, 279, 2800, 6906, 477, 279, 13468, 4124, 5380, 9411, 57439, 2675, 649, 656, 3060, 422, 499, 527, 27442, 1193, 63697, 13, 1442, 27442, 304, 279, 2800, 6906, 198, 3473, 279, 6138, 706, 311, 387, 5300, 21650, 4669, 264, 10103, 108606, 12489, 14196, 1646, 198, 16577, 1606, 6062, 433, 374, 68695, 505, 279, 2579, 13724, 902, 369, 2800, 6906, 198, 68182, 969, 374, 220, 15, 382, 2746, 499, 527, 27442, 4604, 7133, 323, 66425, 51856, 1243, 499, 1288, 387, 27442, 279, 198, 5598, 2841, 4124, 63697, 4286, 3923, 12776, 1105, 1288, 358, 1005, 5380, 776, 29547, 4897, 14117, 389, 279, 12624, 3488, 323, 279, 6302, 1234, 18361, 627, 644, 4689, 584, 7079, 1701, 39319, 12776, 1105, 320, 68, 1326, 13, 15376, 10103, 12484, 85374, 67, 18478, 8, 369, 5137, 430, 499, 1781, 2643, 5030, 520, 682, 4286, 3923, 8741, 422, 264, 5852, 374, 539, 1664, 54852, 30, 220, 3277, 1288, 358, 5155, 5137, 5380, 44549, 11192, 2746, 1063, 5852, 374, 6724, 26118, 58827, 499, 690, 636, 1203, 279, 4972, 13, 2684, 198, 548, 1101, 320, 61917, 8, 5157, 1405, 499, 527, 330, 65333, 90723, 498, 602, 1770, 13, 279, 46000, 374, 198, 63995, 743, 555, 279, 4972, 719, 449, 264, 2678, 18713, 65916, 4245, 311, 2678, 15055, 315, 198, 26125, 17665, 555, 279, 828, 13, 1472, 649, 9616, 279, 46000, 311, 279, 4972, 345, 68, 1326, 13, 1701, 279, 735, 620, 1445, 8288, 648, 78562, 82258, 1990, 279, 1403, 43785, 11, 311, 1518, 198, 333, 499, 617, 9687, 4205, 922, 430, 5852, 13, 2582, 1120, 927, 4569, 279, 4972, 389, 198, 1820, 76820, 281, 24317, 82, 271, 1271, 387, 7373, 42805, 499, 1288, 1193, 5155, 5137, 422, 271, 220, 482, 499, 527, 1633, 2771, 315, 872, 2819, 280, 220, 482, 477, 422, 499, 1541, 956, 1781, 10223, 279, 5852, 690, 617, 264, 43426, 2515, 389, 279, 1646, 280, 220, 482, 477, 422, 264, 5852, 374, 14268, 5367, 13523, 320, 258, 279, 3634, 315, 279, 828, 8, 449, 2500, 5852, 382, 644, 6725, 5137, 430, 617, 1193, 264, 2678, 2515, 719, 1935, 264, 2294, 3568, 315, 198, 1712, 311, 13592, 527, 3629, 8521, 4286, 3923, 656, 358, 656, 922, 8582, 13693, 5380, 1434, 198, 75344, 750, 499, 690, 617, 31405, 22323, 323, 5938, 49668, 27924, 369, 198, 30115, 4141, 477, 46406, 11, 1524, 422, 279, 19179, 374, 315, 264, 8389, 907, 627, 1360, 716, 398, 24043, 369, 8582, 13693, 18065, 264, 14738, 17395, 7652, 1133, 198, 998, 279, 29736, 734, 320, 4151, 65814, 362, 1595, 6881, 198, 27, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 17, 47, 66204, 497, 8874, 13, 4364, 23, 50, 14, 16647, 44726, 66116, 719, 264, 198, 47792, 57304, 649, 387, 1903, 555, 6376, 279, 31405, 311, 7315, 323, 279, 198, 1371, 81246, 311, 279, 220, 16, 1355, 11750, 8582, 4017, 4286, 3923, 656, 358, 656, 449, 279, 8957, 30, 220, 3639, 2819, 1288, 358, 1934, 5380, 9411, 14665, 2028, 374, 264, 4689, 3488, 369, 21539, 25936, 12823, 13, 220, 3580, 1595, 939, 20306, 1114, 198, 27, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 22, 55062, 4, 1627, 32, 497, 2131, 497, 11702, 50, 14, 16647, 44726, 477, 198, 63, 34474, 33774, 777, 366, 2485, 1129, 2005, 64981, 3518, 87555, 22329, 12871, 14, 3518, 14, 679, 24, 277, 55, 344, 7028, 22750, 15231, 50, 14, 16647, 44726, 369, 198, 329, 1805, 4286, 10445, 4536, 956, 279, 46000, 11612, 31288, 389, 279, 8592, 46000, 19463, 6205, 5380, 44549, 10669, 4438, 656, 358, 14532, 279, 1595, 2312, 88540, 63, 477, 1595, 2312, 79, 63, 2819, 30, 8595, 656, 358, 636, 1595, 2312, 79, 871, 220, 15, 63, 5380, 23151, 45464, 4438, 656, 358, 1440, 422, 32134, 19534, 374, 330, 21837, 1, 5380, 1434, 23573, 1038, 497, 765, 64791, 1878, 91, 8454, 487, 32134, 19534, 198, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015 ]
4,016
[ 128000, 37, 768, 374, 264, 7075, 389, 34324, 323, 10099, 311, 904, 24408, 291, 25675, 15580, 25675, 16615, 36952, 25675, 56874, 9244, 68527, 13, 58752, 449, 49649, 315, 42408, 25911, 1168, 15889, 9244, 25675, 8158, 649, 387, 1903, 505, 279, 1176, 10988, 311, 1520, 3493, 264, 25675, 14028, 2884, 389, 17560, 1139, 279, 8158, 527, 9333, 279, 1396, 279, 1401, 311, 279, 22996, 9244, 25675, 15580, 70255, 527, 45968, 56874, 9244, 15580, 25675, 323, 5708, 57528, 5410, 25675, 12035, 28392, 1579, 22781, 458, 9244, 70255, 449, 1057, 6727, 315, 3217, 311, 636, 279, 22996, 11546, 68527, 40464, 5662, 505, 17919, 2403, 279, 8333, 315, 25675, 627, 28124, 13, 17283, 264, 6992, 25675, 15884, 5410, 6787, 13, 468, 16651, 9244, 25675, 1772, 27032, 3197, 11, 374, 520, 279, 3197, 701, 4040, 3966, 56874, 9244, 1862, 7384, 5905, 279, 1749, 315, 7693, 10980, 520, 7693, 56874, 11911, 389, 2115, 25675, 2955, 9067, 82, 12731, 323, 12025, 76, 264, 1772, 27032, 1990, 36108, 1109, 82161, 449, 264, 8205, 315, 5043, 6147, 279, 955, 1404, 323, 4441, 323, 56874, 9244, 3235, 279, 12414, 8333, 323, 12314, 45888, 8158, 5410, 6787, 369, 35634, 8108, 1772, 27032, 13, 1442, 279, 31990, 315, 2115, 25675, 374, 279, 16600, 36108, 1109, 8776, 2115, 25675, 9293, 323, 15730, 68224, 9699, 25675, 8158, 520, 7693, 10980, 3703, 2788, 305, 492, 729, 458, 627, 72204, 261, 8158, 22781, 458, 9244, 2115, 25675, 15580, 25675, 374, 1148, 25675, 323, 3703, 2788, 9244, 1139, 14113, 12912, 2663, 11546, 270, 67, 53422, 13, 20638, 13, 468, 16651, 9244, 25675, 1772, 27032, 3637, 11, 10496, 701, 3966, 439, 13, 28232, 1855, 449, 264, 701, 5912, 2466, 2054, 3637, 35689, 11791, 954, 8158, 39149, 25675, 1202, 7319, 25152, 13, 7570, 810, 1109, 264, 701, 25675, 9244, 279, 1772, 7729, 2997, 9244, 279, 7928, 8736, 4245, 311, 3493, 1584, 9244, 40758, 709, 1579, 25675, 374, 4661, 439, 13, 8012, 264, 29050, 11546, 68527, 1057, 68527, 82161, 68527, 4595, 315, 36536, 477, 220, 21, 1729, 10791, 304, 865, 304, 5129, 29416, 719, 602, 1436, 406, 2567, 279, 1772, 627, 10149, 13, 328, 54376, 25675, 436, 8836, 220, 17, 18028, 19, 279, 4478, 315, 279, 5740, 1701, 279, 2955, 56874, 9244, 25675, 56874, 9244, 304, 66992, 56874, 9244, 25675, 1772, 27032, 311, 15866, 279, 18921, 505, 39149, 25675, 374, 311, 4685, 1109, 8776, 2115, 25675, 323, 38732, 287, 56874, 2955, 323, 9244, 477, 56874, 9244, 17037, 25675, 35634, 3734, 369, 904, 2955, 13, 468, 16651, 9244, 25675, 1772, 27032, 2955, 11, 9244, 449, 865, 27032, 315, 279, 2955, 13, 19940, 25675, 27277, 9211, 311, 56874, 9244, 25675, 420, 3857, 3424, 323, 9244, 29711, 1584, 8158, 38336, 60291, 1584, 1772, 27032, 68527, 13, 1789, 56874, 9244, 27032, 374, 311, 12414, 36108, 27656, 304, 4689, 279, 56874, 627, 2409, 220, 19, 18028, 19, 27032, 1405, 10099, 13, 1789, 2115, 68527, 649, 387, 23711, 304, 865, 17560, 27032, 369, 1667, 315, 36394, 323, 7833, 2136, 315, 1202, 3169, 2561, 304, 865, 584, 4798, 1520, 279, 220, 1135, 3236, 25675, 13, 468, 16651, 9244, 25675, 1772, 27032, 5448, 11, 2678, 10099, 13, 1630, 10702, 389, 279, 5740, 323, 1023, 9364, 311, 10099, 505, 36567, 1555, 433, 430, 527, 18740, 1193, 8521, 51900, 25675, 369, 10065, 46311, 42308, 323, 4857, 70255, 4985, 539, 13, 40090, 1772, 311, 304, 865, 17560, 27032, 7191, 13, 468, 16651, 9244, 430, 706, 8294, 27032, 323, 1148, 499, 1205, 311, 6958, 2403, 682, 315, 279, 39542, 25675, 20968, 315, 36394, 323, 9404, 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 ]
[ 128000, 37, 768, 374, 264, 7075, 389, 34324, 323, 10099, 311, 904, 24408, 291, 25675, 15580, 25675, 16615, 36952, 25675, 56874, 9244, 68527, 13, 58752, 449, 49649, 315, 42408, 25911, 1168, 15889, 9244, 25675, 8158, 649, 387, 1903, 505, 279, 1176, 10988, 311, 1520, 3493, 264, 25675, 14028, 2884, 389, 17560, 1139, 279, 8158, 527, 9333, 279, 1396, 279, 1401, 311, 279, 22996, 9244, 25675, 15580, 70255, 527, 45968, 56874, 9244, 15580, 25675, 323, 5708, 57528, 5410, 25675, 12035, 28392, 1579, 22781, 458, 9244, 70255, 449, 1057, 6727, 315, 3217, 311, 636, 279, 22996, 11546, 68527, 40464, 5662, 505, 17919, 2403, 279, 8333, 315, 25675, 627, 28124, 13, 17283, 264, 6992, 25675, 15884, 5410, 6787, 13, 468, 16651, 9244, 25675, 1772, 27032, 3197, 11, 374, 520, 279, 3197, 701, 4040, 3966, 56874, 9244, 1862, 7384, 5905, 279, 1749, 315, 7693, 10980, 520, 7693, 56874, 11911, 389, 2115, 25675, 2955, 9067, 82, 12731, 323, 12025, 76, 264, 1772, 27032, 1990, 36108, 1109, 82161, 449, 264, 8205, 315, 5043, 6147, 279, 955, 1404, 323, 4441, 323, 56874, 9244, 3235, 279, 12414, 8333, 323, 12314, 45888, 8158, 5410, 6787, 369, 35634, 8108, 1772, 27032, 13, 1442, 279, 31990, 315, 2115, 25675, 374, 279, 16600, 36108, 1109, 8776, 2115, 25675, 9293, 323, 15730, 68224, 9699, 25675, 8158, 520, 7693, 10980, 3703, 2788, 305, 492, 729, 458, 627, 72204, 261, 8158, 22781, 458, 9244, 2115, 25675, 15580, 25675, 374, 1148, 25675, 323, 3703, 2788, 9244, 1139, 14113, 12912, 2663, 11546, 270, 67, 53422, 13, 20638, 13, 468, 16651, 9244, 25675, 1772, 27032, 3637, 11, 10496, 701, 3966, 439, 13, 28232, 1855, 449, 264, 701, 5912, 2466, 2054, 3637, 35689, 11791, 954, 8158, 39149, 25675, 1202, 7319, 25152, 13, 7570, 810, 1109, 264, 701, 25675, 9244, 279, 1772, 7729, 2997, 9244, 279, 7928, 8736, 4245, 311, 3493, 1584, 9244, 40758, 709, 1579, 25675, 374, 4661, 439, 13, 8012, 264, 29050, 11546, 68527, 1057, 68527, 82161, 68527, 4595, 315, 36536, 477, 220, 21, 1729, 10791, 304, 865, 304, 5129, 29416, 719, 602, 1436, 406, 2567, 279, 1772, 627, 10149, 13, 328, 54376, 25675, 436, 8836, 220, 17, 18028, 19, 279, 4478, 315, 279, 5740, 1701, 279, 2955, 56874, 9244, 25675, 56874, 9244, 304, 66992, 56874, 9244, 25675, 1772, 27032, 311, 15866, 279, 18921, 505, 39149, 25675, 374, 311, 4685, 1109, 8776, 2115, 25675, 323, 38732, 287, 56874, 2955, 323, 9244, 477, 56874, 9244, 17037, 25675, 35634, 3734, 369, 904, 2955, 13, 468, 16651, 9244, 25675, 1772, 27032, 2955, 11, 9244, 449, 865, 27032, 315, 279, 2955, 13, 19940, 25675, 27277, 9211, 311, 56874, 9244, 25675, 420, 3857, 3424, 323, 9244, 29711, 1584, 8158, 38336, 60291, 1584, 1772, 27032, 68527, 13, 1789, 56874, 9244, 27032, 374, 311, 12414, 36108, 27656, 304, 4689, 279, 56874, 627, 2409, 220, 19, 18028, 19, 27032, 1405, 10099, 13, 1789, 2115, 68527, 649, 387, 23711, 304, 865, 17560, 27032, 369, 1667, 315, 36394, 323, 7833, 2136, 315, 1202, 3169, 2561, 304, 865, 584, 4798, 1520, 279, 220, 1135, 3236, 25675, 13, 468, 16651, 9244, 25675, 1772, 27032, 5448, 11, 2678, 10099, 13, 1630, 10702, 389, 279, 5740, 323, 1023, 9364, 311, 10099, 505, 36567, 1555, 433, 430, 527, 18740, 1193, 8521, 51900, 25675, 369, 10065, 46311, 42308, 323, 4857, 70255, 4985, 539, 13, 40090, 1772, 311, 304, 865, 17560, 27032, 7191, 13, 468, 16651, 9244, 430, 706, 8294, 27032, 323, 1148, 499, 1205, 311, 6958, 2403, 682, 315, 279, 39542, 25675, 20968, 315, 36394, 323, 9404, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 7489, 12092, 3250, 1431, 3290, 279, 6666, 477, 5647, 315, 54917, 430, 1023, 5070, 656, 1981, 39830, 433, 753, 2288, 3389, 11, 430, 374, 13, 30070, 1070, 753, 1063, 3169, 315, 11501, 11, 1063, 6373, 64496, 391, 477, 264, 11210, 1972, 8082, 430, 4994, 1520, 374, 539, 264, 19913, 11, 433, 753, 264, 32961, 627, 4897, 3169, 315, 6671, 374, 1888, 31890, 520, 682, 7194, 627, 2675, 617, 459, 27513, 2785, 11, 264, 38141, 477, 71052, 20109, 430, 701, 1510, 20414, 527, 5042, 539, 3318, 13, 86047, 527, 539, 1694, 2322, 11, 1070, 374, 59322, 2949, 7411, 477, 499, 527, 2133, 1555, 264, 66743, 4261, 902, 374, 13239, 304, 26800, 323, 12324, 627, 2675, 527, 35611, 304, 4027, 2269, 45850, 3941, 627, 3947, 374, 264, 4689, 6996, 315, 12410, 2949, 279, 22139, 13, 1472, 649, 1431, 6227, 279, 1566, 892, 499, 26579, 701, 22498, 36486, 627, 2675, 617, 264, 4040, 5915, 477, 264, 2447, 304, 4059, 323, 499, 3207, 539, 5115, 2771, 1268, 311, 636, 433, 1022, 279, 5015, 11, 10519, 24151, 323, 387, 36977, 369, 9298, 433, 1555, 627, 2675, 2733, 3451, 37227, 3345, 529, 311, 279, 15082, 430, 527, 31965, 2949, 701, 1866, 22139, 323, 907, 279, 1665, 1968, 323, 9200, 6138, 264, 7395, 649, 4546, 627, 67343, 11, 4869, 11, 279, 1972, 2944, 433, 753, 3062, 311, 24804, 15525, 5070, 369, 24826, 304, 701, 22139, 374, 1606, 499, 617, 264, 5016, 6776, 311, 39256, 279, 837, 4754, 315, 701, 12474, 9513, 25, 279, 35032, 315, 701, 1274, 627, 5519, 904, 315, 279, 3485, 26350, 89986, 449, 499, 30, 1442, 779, 11, 358, 15253, 499, 311, 1935, 1957, 1457, 439, 1521, 5435, 2834, 1431, 733, 3201, 315, 872, 1866, 14902, 323, 649, 3063, 311, 4726, 11774, 1523, 279, 1584, 422, 539, 82457, 520, 459, 4216, 6566, 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 ]
[ 128000, 7489, 12092, 3250, 1431, 3290, 279, 6666, 477, 5647, 315, 54917, 430, 1023, 5070, 656, 1981, 39830, 433, 753, 2288, 3389, 11, 430, 374, 13, 30070, 1070, 753, 1063, 3169, 315, 11501, 11, 1063, 6373, 64496, 391, 477, 264, 11210, 1972, 8082, 430, 4994, 1520, 374, 539, 264, 19913, 11, 433, 753, 264, 32961, 627, 4897, 3169, 315, 6671, 374, 1888, 31890, 520, 682, 7194, 627, 2675, 617, 459, 27513, 2785, 11, 264, 38141, 477, 71052, 20109, 430, 701, 1510, 20414, 527, 5042, 539, 3318, 13, 86047, 527, 539, 1694, 2322, 11, 1070, 374, 59322, 2949, 7411, 477, 499, 527, 2133, 1555, 264, 66743, 4261, 902, 374, 13239, 304, 26800, 323, 12324, 627, 2675, 527, 35611, 304, 4027, 2269, 45850, 3941, 627, 3947, 374, 264, 4689, 6996, 315, 12410, 2949, 279, 22139, 13, 1472, 649, 1431, 6227, 279, 1566, 892, 499, 26579, 701, 22498, 36486, 627, 2675, 617, 264, 4040, 5915, 477, 264, 2447, 304, 4059, 323, 499, 3207, 539, 5115, 2771, 1268, 311, 636, 433, 1022, 279, 5015, 11, 10519, 24151, 323, 387, 36977, 369, 9298, 433, 1555, 627, 2675, 2733, 3451, 37227, 3345, 529, 311, 279, 15082, 430, 527, 31965, 2949, 701, 1866, 22139, 323, 907, 279, 1665, 1968, 323, 9200, 6138, 264, 7395, 649, 4546, 627, 67343, 11, 4869, 11, 279, 1972, 2944, 433, 753, 3062, 311, 24804, 15525, 5070, 369, 24826, 304, 701, 22139, 374, 1606, 499, 617, 264, 5016, 6776, 311, 39256, 279, 837, 4754, 315, 701, 12474, 9513, 25, 279, 35032, 315, 701, 1274, 627, 5519, 904, 315, 279, 3485, 26350, 89986, 449, 499, 30, 1442, 779, 11, 358, 15253, 499, 311, 1935, 1957, 1457, 439, 1521, 5435, 2834, 1431, 733, 3201, 315, 872, 1866, 14902, 323, 649, 3063, 311, 4726, 11774, 1523, 279, 1584, 422, 539, 82457, 520, 459, 4216, 6566, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 4516, 14931, 13, 358, 649, 956, 4510, 1778, 54950, 6866, 4920, 8036, 14365, 13, 1666, 264, 2346, 35935, 269, 358, 656, 617, 1274, 3371, 757, 1521, 7493, 323, 358, 1097, 2103, 2744, 42132, 555, 1124, 1475, 892, 358, 6865, 1124, 13, 763, 856, 14247, 3217, 358, 5406, 420, 2736, 264, 5333, 889, 30666, 15714, 1077, 10177, 656, 3958, 6392, 311, 813, 1866, 10003, 323, 1053, 2187, 430, 311, 3621, 311, 1023, 3278, 13, 2030, 422, 4423, 17302, 82, 1077, 1364, 1053, 387, 53170, 323, 10726, 1077, 10177, 1176, 13, 220, 358, 1781, 1364, 15714, 433, 3621, 323, 10800, 264, 18507, 8071, 311, 433, 13, 3005, 11937, 2834, 956, 387, 304, 430, 2361, 315, 11737, 779, 433, 2834, 956, 5030, 13, 2030, 1364, 690, 1095, 430, 11737, 3621, 311, 2500, 520, 279, 6206, 315, 1077, 10177, 13, 4815, 40, 1097, 459, 42779, 323, 358, 1440, 315, 279, 70618, 430, 3621, 304, 1521, 10632, 13, 2435, 617, 1193, 832, 2035, 311, 5868, 304, 15123, 497, 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 ]
[ 128000, 4516, 14931, 13, 358, 649, 956, 4510, 1778, 54950, 6866, 4920, 8036, 14365, 13, 1666, 264, 2346, 35935, 269, 358, 656, 617, 1274, 3371, 757, 1521, 7493, 323, 358, 1097, 2103, 2744, 42132, 555, 1124, 1475, 892, 358, 6865, 1124, 13, 763, 856, 14247, 3217, 358, 5406, 420, 2736, 264, 5333, 889, 30666, 15714, 1077, 10177, 656, 3958, 6392, 311, 813, 1866, 10003, 323, 1053, 2187, 430, 311, 3621, 311, 1023, 3278, 13, 2030, 422, 4423, 17302, 82, 1077, 1364, 1053, 387, 53170, 323, 10726, 1077, 10177, 1176, 13, 220, 358, 1781, 1364, 15714, 433, 3621, 323, 10800, 264, 18507, 8071, 311, 433, 13, 3005, 11937, 2834, 956, 387, 304, 430, 2361, 315, 11737, 779, 433, 2834, 956, 5030, 13, 2030, 1364, 690, 1095, 430, 11737, 3621, 311, 2500, 520, 279, 6206, 315, 1077, 10177, 13, 4815, 40, 1097, 459, 42779, 323, 358, 1440, 315, 279, 70618, 430, 3621, 304, 1521, 10632, 13, 2435, 617, 1193, 832, 2035, 311, 5868, 304, 15123, 497, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 27, 265, 621, 373, 29, 1026, 10866, 1049, 16, 60805, 1757, 271, 475, 353, 439, 13334, 505, 2825, 17694, 12, 26103, 1025, 475, 314, 27030, 31580, 335, 505, 2825, 17694, 12, 21591, 7112, 443, 3788, 1129, 2185, 1276, 5298, 2580, 916, 65100, 14, 17694, 271, 62783, 23573, 2341, 322, 260, 4595, 1881, 6611, 62783, 23573, 6454, 1562, 3834, 358, 47554, 33224, 988, 341, 220, 1328, 67, 1026, 33564, 25, 29587, 345, 220, 1328, 67, 1026, 57313, 25, 20804, 1242, 12048, 280, 220, 1328, 66068, 25, 1396, 280, 220, 1328, 32814, 37, 40910, 25, 1396, 280, 220, 1328, 88600, 8820, 40910, 25, 1396, 280, 220, 1328, 1170, 38, 8820, 40910, 25, 1396, 280, 220, 1328, 38, 715, 8820, 40910, 25, 1396, 280, 633, 1562, 3834, 358, 47554, 12965, 82, 341, 220, 79223, 25, 1396, 280, 220, 41707, 56116, 25, 1396, 280, 220, 20804, 1242, 12048, 25, 20804, 1242, 12048, 280, 220, 5367, 6349, 8596, 57313, 25, 20804, 1242, 12048, 280, 633, 1562, 955, 7568, 645, 4125, 220, 320, 10433, 27030, 31580, 8, 612, 320, 10433, 13334, 8, 28370, 220, 358, 47554, 33224, 988, 612, 358, 47554, 12965, 82, 271, 1562, 955, 20804, 1242, 12048, 284, 314, 5367, 23231, 11, 1332, 25, 925, 11, 5819, 25, 925, 2670, 2355, 62783, 23573, 2341, 322, 996, 5150, 12496, 415, 6611, 62783, 23573, 6454, 1040, 27030, 25, 25570, 27, 47554, 29, 284, 341, 220, 2564, 17694, 31580, 345, 220, 2564, 26103, 345, 2368, 1211, 25839, 7, 17694, 11, 364, 66068, 518, 341, 220, 636, 368, 341, 262, 471, 420, 4952, 66068, 280, 220, 1173, 220, 743, 3832, 25, 1396, 8, 341, 262, 738, 305, 284, 348, 611, 220, 17, 280, 262, 420, 4952, 66068, 284, 348, 280, 262, 420, 4952, 32814, 37, 40910, 284, 305, 280, 262, 420, 4952, 88600, 8820, 40910, 284, 305, 611, 4242, 21010, 280, 262, 420, 4952, 1170, 38, 8820, 40910, 284, 305, 611, 220, 5245, 280, 262, 420, 4952, 38, 715, 8820, 40910, 284, 305, 611, 220, 1049, 280, 220, 1173, 4649, 1040, 294, 1026, 57313, 5001, 1936, 11222, 25, 8825, 11971, 612, 1115, 941, 27, 47554, 29, 284, 341, 220, 636, 368, 341, 262, 471, 420, 4952, 67, 1026, 57313, 280, 220, 1173, 220, 743, 3832, 25, 20804, 1242, 12048, 8, 341, 262, 420, 4952, 67, 1026, 57313, 284, 348, 401, 262, 734, 2109, 3561, 20989, 82, 4293, 25, 925, 8, 341, 415, 738, 3361, 57313, 284, 611, 3505, 23813, 61, 23813, 3, 23813, 58, 23813, 60, 23813, 90, 23813, 92, 23813, 23236, 59, 18419, 19362, 23813, 10, 23813, 9, 91, 4844, 23813, 122118, 70, 280, 415, 471, 610, 7125, 1161, 3037, 57313, 11, 29178, 3505, 3, 15, 1177, 262, 557, 262, 738, 1661, 33564, 284, 88214, 4925, 12, 30, 3505, 67, 13666, 4925, 3505, 82, 9, 68257, 3505, 82, 3849, 30, 3505, 67, 3849, 61116, 4925, 12, 30, 3505, 67, 6737, 4925, 3505, 82, 9, 68257, 3505, 82, 3849, 30, 3505, 67, 10, 595, 1025, 262, 738, 5367, 33564, 284, 49751, 4925, 2420, 2470, 33564, 86639, 82, 9, 2420, 10200, 3561, 20989, 82, 1420, 4952, 67, 1026, 57313, 71517, 99429, 17338, 262, 738, 1332, 33564, 284, 49751, 4925, 2420, 2470, 33564, 86639, 82, 9, 2420, 10200, 3561, 20989, 82, 1420, 4952, 67, 1026, 57313, 4456, 99429, 17338, 262, 738, 5819, 33564, 284, 49751, 4925, 2420, 2470, 33564, 86639, 82, 9, 2420, 10200, 3561, 20989, 82, 1420, 4952, 67, 1026, 57313, 55794, 99429, 17338, 262, 420, 4952, 67, 1026, 33564, 284, 502, 29587, 5931, 61, 3505, 82, 9, 2420, 16915, 33564, 53502, 3505, 82, 9, 2420, 1083, 33564, 53502, 3505, 82, 9, 2420, 5132, 33564, 53502, 3505, 82, 40118, 21274, 220, 1173, 2368, 1211, 25839, 7, 17694, 11, 364, 16915, 6349, 8596, 57313, 518, 294, 1026, 57313, 5001, 1936, 11222, 317, 1211, 25839, 7, 17694, 11, 364, 8561, 1242, 12048, 518, 294, 1026, 57313, 5001, 1936, 11222, 629, 17694, 815, 25014, 284, 220, 6843, 280, 17694, 5253, 5119, 56116, 284, 220, 16, 68, 12, 605, 280, 17694, 920, 44, 1242, 12048, 284, 314, 5367, 25, 364, 11877, 518, 1332, 25, 7273, 518, 5819, 25, 38739, 3718, 1562, 1670, 27030, 439, 507, 1800, 27, 47554, 11, 80963, 358, 47554, 33224, 988, 10342, 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 ]
[ 128000, 27, 265, 621, 373, 29, 1026, 10866, 1049, 16, 60805, 1757, 271, 475, 353, 439, 13334, 505, 2825, 17694, 12, 26103, 1025, 475, 314, 27030, 31580, 335, 505, 2825, 17694, 12, 21591, 7112, 443, 3788, 1129, 2185, 1276, 5298, 2580, 916, 65100, 14, 17694, 271, 62783, 23573, 2341, 322, 260, 4595, 1881, 6611, 62783, 23573, 6454, 1562, 3834, 358, 47554, 33224, 988, 341, 220, 1328, 67, 1026, 33564, 25, 29587, 345, 220, 1328, 67, 1026, 57313, 25, 20804, 1242, 12048, 280, 220, 1328, 66068, 25, 1396, 280, 220, 1328, 32814, 37, 40910, 25, 1396, 280, 220, 1328, 88600, 8820, 40910, 25, 1396, 280, 220, 1328, 1170, 38, 8820, 40910, 25, 1396, 280, 220, 1328, 38, 715, 8820, 40910, 25, 1396, 280, 633, 1562, 3834, 358, 47554, 12965, 82, 341, 220, 79223, 25, 1396, 280, 220, 41707, 56116, 25, 1396, 280, 220, 20804, 1242, 12048, 25, 20804, 1242, 12048, 280, 220, 5367, 6349, 8596, 57313, 25, 20804, 1242, 12048, 280, 633, 1562, 955, 7568, 645, 4125, 220, 320, 10433, 27030, 31580, 8, 612, 320, 10433, 13334, 8, 28370, 220, 358, 47554, 33224, 988, 612, 358, 47554, 12965, 82, 271, 1562, 955, 20804, 1242, 12048, 284, 314, 5367, 23231, 11, 1332, 25, 925, 11, 5819, 25, 925, 2670, 2355, 62783, 23573, 2341, 322, 996, 5150, 12496, 415, 6611, 62783, 23573, 6454, 1040, 27030, 25, 25570, 27, 47554, 29, 284, 341, 220, 2564, 17694, 31580, 345, 220, 2564, 26103, 345, 2368, 1211, 25839, 7, 17694, 11, 364, 66068, 518, 341, 220, 636, 368, 341, 262, 471, 420, 4952, 66068, 280, 220, 1173, 220, 743, 3832, 25, 1396, 8, 341, 262, 738, 305, 284, 348, 611, 220, 17, 280, 262, 420, 4952, 66068, 284, 348, 280, 262, 420, 4952, 32814, 37, 40910, 284, 305, 280, 262, 420, 4952, 88600, 8820, 40910, 284, 305, 611, 4242, 21010, 280, 262, 420, 4952, 1170, 38, 8820, 40910, 284, 305, 611, 220, 5245, 280, 262, 420, 4952, 38, 715, 8820, 40910, 284, 305, 611, 220, 1049, 280, 220, 1173, 4649, 1040, 294, 1026, 57313, 5001, 1936, 11222, 25, 8825, 11971, 612, 1115, 941, 27, 47554, 29, 284, 341, 220, 636, 368, 341, 262, 471, 420, 4952, 67, 1026, 57313, 280, 220, 1173, 220, 743, 3832, 25, 20804, 1242, 12048, 8, 341, 262, 420, 4952, 67, 1026, 57313, 284, 348, 401, 262, 734, 2109, 3561, 20989, 82, 4293, 25, 925, 8, 341, 415, 738, 3361, 57313, 284, 611, 3505, 23813, 61, 23813, 3, 23813, 58, 23813, 60, 23813, 90, 23813, 92, 23813, 23236, 59, 18419, 19362, 23813, 10, 23813, 9, 91, 4844, 23813, 122118, 70, 280, 415, 471, 610, 7125, 1161, 3037, 57313, 11, 29178, 3505, 3, 15, 1177, 262, 557, 262, 738, 1661, 33564, 284, 88214, 4925, 12, 30, 3505, 67, 13666, 4925, 3505, 82, 9, 68257, 3505, 82, 3849, 30, 3505, 67, 3849, 61116, 4925, 12, 30, 3505, 67, 6737, 4925, 3505, 82, 9, 68257, 3505, 82, 3849, 30, 3505, 67, 10, 595, 1025, 262, 738, 5367, 33564, 284, 49751, 4925, 2420, 2470, 33564, 86639, 82, 9, 2420, 10200, 3561, 20989, 82, 1420, 4952, 67, 1026, 57313, 71517, 99429, 17338, 262, 738, 1332, 33564, 284, 49751, 4925, 2420, 2470, 33564, 86639, 82, 9, 2420, 10200, 3561, 20989, 82, 1420, 4952, 67, 1026, 57313, 4456, 99429, 17338, 262, 738, 5819, 33564, 284, 49751, 4925, 2420, 2470, 33564, 86639, 82, 9, 2420, 10200, 3561, 20989, 82, 1420, 4952, 67, 1026, 57313, 55794, 99429, 17338, 262, 420, 4952, 67, 1026, 33564, 284, 502, 29587, 5931, 61, 3505, 82, 9, 2420, 16915, 33564, 53502, 3505, 82, 9, 2420, 1083, 33564, 53502, 3505, 82, 9, 2420, 5132, 33564, 53502, 3505, 82, 40118, 21274, 220, 1173, 2368, 1211, 25839, 7, 17694, 11, 364, 16915, 6349, 8596, 57313, 518, 294, 1026, 57313, 5001, 1936, 11222, 317, 1211, 25839, 7, 17694, 11, 364, 8561, 1242, 12048, 518, 294, 1026, 57313, 5001, 1936, 11222, 629, 17694, 815, 25014, 284, 220, 6843, 280, 17694, 5253, 5119, 56116, 284, 220, 16, 68, 12, 605, 280, 17694, 920, 44, 1242, 12048, 284, 314, 5367, 25, 364, 11877, 518, 1332, 25, 7273, 518, 5819, 25, 38739, 3718, 1562, 1670, 27030, 439, 507, 1800, 27, 47554, 11, 80963, 358, 47554, 33224, 988, 10342, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 11859, 65241, 11, 279, 3674, 917, 369, 2911, 11, 1457, 706, 810, 1109, 832, 3610, 3932, 11, 4184, 311, 6506, 7445, 27997, 627, 791, 2883, 1071, 10466, 65241, 374, 1457, 1511, 555, 810, 1109, 220, 966, 4, 315, 2911, 20330, 220, 23, 12, 717, 304, 279, 6560, 13, 14969, 8493, 2212, 220, 1774, 4520, 1475, 1938, 389, 279, 917, 11, 902, 4519, 4325, 8475, 2262, 505, 16097, 1778, 439, 393, 1386, 258, 18312, 11, 578, 2893, 5770, 323, 15083, 12560, 67005, 2490, 13, 1102, 1101, 4519, 1472, 51, 392, 388, 1093, 29793, 55088, 1644, 11, 6706, 268, 323, 65671, 2852, 36661, 3489, 474, 627, 35862, 36717, 8427, 449, 7445, 27997, 311, 2035, 872, 2262, 389, 10466, 65241, 11, 2737, 393, 1386, 258, 11, 40491, 7085, 20176, 11, 26275, 3907, 8612, 11, 23074, 18312, 323, 86823, 29935, 23338, 627, 34, 1770, 14778, 13, 44458, 29770, 1071, 1070, 374, 264, 1054, 96470, 38575, 863, 369, 2363, 2262, 389, 279, 917, 627, 2118, 11859, 65241, 706, 264, 49737, 8040, 743, 315, 11782, 7526, 369, 6980, 902, 2187, 1124, 5655, 16628, 505, 872, 4641, 2476, 568, 1071, 11, 7231, 3752, 89323, 323, 13633, 47603, 439, 10507, 315, 279, 955, 315, 2363, 2262, 36717, 649, 1893, 627, 19841, 27997, 11021, 10466, 65241, 505, 23754, 49528, 369, 459, 83957, 2694, 1566, 1060, 13, 1102, 1457, 706, 6787, 311, 7195, 279, 917, 304, 279, 2326, 323, 7008, 11, 8051, 912, 2457, 574, 5300, 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 ]
[ 128000, 11859, 65241, 11, 279, 3674, 917, 369, 2911, 11, 1457, 706, 810, 1109, 832, 3610, 3932, 11, 4184, 311, 6506, 7445, 27997, 627, 791, 2883, 1071, 10466, 65241, 374, 1457, 1511, 555, 810, 1109, 220, 966, 4, 315, 2911, 20330, 220, 23, 12, 717, 304, 279, 6560, 13, 14969, 8493, 2212, 220, 1774, 4520, 1475, 1938, 389, 279, 917, 11, 902, 4519, 4325, 8475, 2262, 505, 16097, 1778, 439, 393, 1386, 258, 18312, 11, 578, 2893, 5770, 323, 15083, 12560, 67005, 2490, 13, 1102, 1101, 4519, 1472, 51, 392, 388, 1093, 29793, 55088, 1644, 11, 6706, 268, 323, 65671, 2852, 36661, 3489, 474, 627, 35862, 36717, 8427, 449, 7445, 27997, 311, 2035, 872, 2262, 389, 10466, 65241, 11, 2737, 393, 1386, 258, 11, 40491, 7085, 20176, 11, 26275, 3907, 8612, 11, 23074, 18312, 323, 86823, 29935, 23338, 627, 34, 1770, 14778, 13, 44458, 29770, 1071, 1070, 374, 264, 1054, 96470, 38575, 863, 369, 2363, 2262, 389, 279, 917, 627, 2118, 11859, 65241, 706, 264, 49737, 8040, 743, 315, 11782, 7526, 369, 6980, 902, 2187, 1124, 5655, 16628, 505, 872, 4641, 2476, 568, 1071, 11, 7231, 3752, 89323, 323, 13633, 47603, 439, 10507, 315, 279, 955, 315, 2363, 2262, 36717, 649, 1893, 627, 19841, 27997, 11021, 10466, 65241, 505, 23754, 49528, 369, 459, 83957, 2694, 1566, 1060, 13, 1102, 1457, 706, 6787, 311, 7195, 279, 917, 304, 279, 2326, 323, 7008, 11, 8051, 912, 2457, 574, 5300, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 12947, 13, 63647, 11, 358, 1193, 2216, 1005, 469, 98872, 369, 832, 3245, 482, 44494, 11801, 3703, 56020, 13, 3011, 1694, 1071, 11, 279, 1023, 4519, 57910, 433, 6209, 527, 8965, 5128, 6573, 13, 1789, 3187, 11, 433, 5825, 11944, 3630, 922, 701, 3756, 323, 1148, 1962, 13, 2030, 22371, 11, 358, 3021, 469, 98872, 13, 358, 6562, 433, 1053, 636, 1212, 3794, 5912, 9013, 1578, 11, 719, 433, 596, 6220, 311, 2019, 430, 3358, 2646, 3621, 11, 26907, 13, 8840, 1664, 11, 520, 3325, 433, 596, 20330, 1664, 3403, 430, 433, 596, 2103, 832, 315, 279, 1176, 10721, 358, 4685, 389, 1475, 4641, 358, 636, 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 ]
[ 128000, 12947, 13, 63647, 11, 358, 1193, 2216, 1005, 469, 98872, 369, 832, 3245, 482, 44494, 11801, 3703, 56020, 13, 3011, 1694, 1071, 11, 279, 1023, 4519, 57910, 433, 6209, 527, 8965, 5128, 6573, 13, 1789, 3187, 11, 433, 5825, 11944, 3630, 922, 701, 3756, 323, 1148, 1962, 13, 2030, 22371, 11, 358, 3021, 469, 98872, 13, 358, 6562, 433, 1053, 636, 1212, 3794, 5912, 9013, 1578, 11, 719, 433, 596, 6220, 311, 2019, 430, 3358, 2646, 3621, 11, 26907, 13, 8840, 1664, 11, 520, 3325, 433, 596, 20330, 1664, 3403, 430, 433, 596, 2103, 832, 315, 279, 1176, 10721, 358, 4685, 389, 1475, 4641, 358, 636, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107 ]
108
[ 128000, 32, 7395, 4027, 323, 264, 10121, 527, 14718, 32174, 389, 279, 362, 4103, 627, 11874, 8821, 24455, 1051, 5068, 555, 5234, 2336, 9635, 520, 2212, 220, 22, 13, 605, 309, 627, 791, 7395, 4027, 323, 279, 10121, 7077, 389, 279, 11226, 11130, 1841, 462, 351, 25754, 323, 2225, 34125, 617, 1027, 8036, 1990, 1990, 279, 362, 18625, 323, 279, 386, 16, 49341, 220, 914, 627, 24682, 4284, 279, 362, 4103, 690, 387, 13326, 304, 430, 3158, 4245, 311, 279, 24455, 627, 32, 5234, 2336, 9635, 29003, 1071, 25, 330, 5618, 2187, 5066, 892, 422, 4737, 430, 6149, 311, 279, 386, 16, 420, 6693, 10246, 32, 46873, 15255, 10289, 29003, 1071, 25, 330, 791, 362, 4103, 6460, 11130, 3221, 311, 279, 2543, 369, 578, 24100, 76852, 374, 5131, 8036, 13, 25736, 4027, 323, 17876, 33880, 39897, 13, 33185, 1317, 32174, 10246, 22960, 1729, 15255, 11406, 6821, 430, 264, 13654, 7458, 706, 11721, 11, 3235, 449, 17004, 1303, 323, 84878, 7241, 627, 4054, 21971, 706, 78881, 11, 719, 264, 4335, 709, 5784, 304, 21971, 1403, 374, 2103, 14718, 8275, 32174, 627, 22960, 1729, 15255, 11406, 12457, 264, 5224, 505, 5165, 17855, 902, 11007, 1070, 1047, 1027, 264, 4027, 389, 279, 7458, 627, 32, 34241, 3309, 46873, 15255, 11406, 25, 1054, 1687, 649, 7838, 1070, 574, 264, 4027, 389, 832, 315, 1057, 11731, 389, 279, 362, 4103, 17520, 2493, 1409, 12424, 320, 61601, 11130, 8, 420, 6693, 11, 8079, 11, 7552, 220, 508, 627, 791, 38081, 9635, 3997, 6821, 430, 279, 10672, 374, 2103, 4642, 11, 323, 55146, 374, 3685, 1139, 279, 6693, 13, 38081, 374, 3685, 311, 387, 36612, 1578, 555, 220, 23, 13, 966, 309, 627, 791, 6931, 5068, 10121, 389, 279, 362, 4103, 11, 17520, 2493, 1409, 12424, 11, 706, 1027, 23803, 627, 791, 8821, 10672, 11, 1405, 46873, 15255, 6785, 323, 45503, 1047, 311, 22118, 264, 7395, 4027, 11, 9731, 311, 2565, 279, 11226, 11130, 34125, 1990, 279, 362, 18625, 323, 279, 386, 16, 49341, 220, 914, 627, 2028, 374, 4245, 311, 264, 17876, 33880, 39897, 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 ]
[ 128000, 32, 7395, 4027, 323, 264, 10121, 527, 14718, 32174, 389, 279, 362, 4103, 627, 11874, 8821, 24455, 1051, 5068, 555, 5234, 2336, 9635, 520, 2212, 220, 22, 13, 605, 309, 627, 791, 7395, 4027, 323, 279, 10121, 7077, 389, 279, 11226, 11130, 1841, 462, 351, 25754, 323, 2225, 34125, 617, 1027, 8036, 1990, 1990, 279, 362, 18625, 323, 279, 386, 16, 49341, 220, 914, 627, 24682, 4284, 279, 362, 4103, 690, 387, 13326, 304, 430, 3158, 4245, 311, 279, 24455, 627, 32, 5234, 2336, 9635, 29003, 1071, 25, 330, 5618, 2187, 5066, 892, 422, 4737, 430, 6149, 311, 279, 386, 16, 420, 6693, 10246, 32, 46873, 15255, 10289, 29003, 1071, 25, 330, 791, 362, 4103, 6460, 11130, 3221, 311, 279, 2543, 369, 578, 24100, 76852, 374, 5131, 8036, 13, 25736, 4027, 323, 17876, 33880, 39897, 13, 33185, 1317, 32174, 10246, 22960, 1729, 15255, 11406, 6821, 430, 264, 13654, 7458, 706, 11721, 11, 3235, 449, 17004, 1303, 323, 84878, 7241, 627, 4054, 21971, 706, 78881, 11, 719, 264, 4335, 709, 5784, 304, 21971, 1403, 374, 2103, 14718, 8275, 32174, 627, 22960, 1729, 15255, 11406, 12457, 264, 5224, 505, 5165, 17855, 902, 11007, 1070, 1047, 1027, 264, 4027, 389, 279, 7458, 627, 32, 34241, 3309, 46873, 15255, 11406, 25, 1054, 1687, 649, 7838, 1070, 574, 264, 4027, 389, 832, 315, 1057, 11731, 389, 279, 362, 4103, 17520, 2493, 1409, 12424, 320, 61601, 11130, 8, 420, 6693, 11, 8079, 11, 7552, 220, 508, 627, 791, 38081, 9635, 3997, 6821, 430, 279, 10672, 374, 2103, 4642, 11, 323, 55146, 374, 3685, 1139, 279, 6693, 13, 38081, 374, 3685, 311, 387, 36612, 1578, 555, 220, 23, 13, 966, 309, 627, 791, 6931, 5068, 10121, 389, 279, 362, 4103, 11, 17520, 2493, 1409, 12424, 11, 706, 1027, 23803, 627, 791, 8821, 10672, 11, 1405, 46873, 15255, 6785, 323, 45503, 1047, 311, 22118, 264, 7395, 4027, 11, 9731, 311, 2565, 279, 11226, 11130, 34125, 1990, 279, 362, 18625, 323, 279, 386, 16, 49341, 220, 914, 627, 2028, 374, 4245, 311, 264, 17876, 33880, 39897, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 72958, 4359, 2209, 8681, 1981, 323, 8681, 398, 2057, 2893, 41465, 4147, 4999, 40, 1440, 430, 1063, 315, 499, 527, 8748, 311, 6865, 922, 420, 7151, 11, 779, 1618, 374, 264, 10015, 26610, 315, 279, 1938, 315, 279, 7151, 13, 2468, 856, 11326, 753, 43676, 11, 358, 2163, 279, 60116, 9052, 27307, 4783, 520, 220, 21, 25, 966, 6912, 311, 2339, 264, 33605, 311, 279, 3907, 1405, 279, 7151, 574, 1694, 2728, 320, 47339, 389, 279, 4363, 430, 574, 3131, 961, 315, 279, 6342, 753, 31396, 570, 1226, 1051, 2225, 36218, 315, 60116, 753, 1054, 78277, 6596, 863, 9629, 13, 1666, 433, 6656, 704, 11, 358, 574, 279, 1176, 311, 17782, 520, 279, 7151, 2816, 320, 22, 25, 966, 6912, 8, 1389, 902, 574, 10619, 11, 1606, 433, 6688, 757, 11510, 315, 892, 311, 1373, 1555, 279, 11470, 430, 1051, 682, 17124, 304, 27490, 320, 2000, 8196, 8125, 570, 578, 1176, 2199, 574, 279, 10537, 369, 1694, 16584, 1139, 279, 24481, 3130, 320, 25849, 617, 5150, 26536, 11, 2011, 617, 5150, 23383, 369, 8323, 315, 279, 11307, 11, 2011, 387, 26435, 36001, 11, 5099, 36434, 578, 2132, 574, 279, 1920, 369, 279, 24481, 320, 1135, 4520, 369, 279, 18242, 33410, 11, 220, 1135, 4520, 369, 279, 77797, 33410, 11, 220, 1135, 4520, 369, 279, 24838, 33410, 11, 323, 220, 605, 4520, 369, 279, 45072, 33410, 1389, 279, 1176, 2380, 1603, 16163, 323, 279, 1566, 1306, 16163, 570, 578, 4948, 2199, 574, 264, 15182, 315, 279, 9322, 3110, 5219, 323, 279, 24481, 3130, 12893, 311, 1124, 13, 1102, 3952, 264, 2539, 4376, 6596, 369, 757, 311, 1373, 1555, 682, 315, 420, 1606, 320, 4238, 16501, 65, 16715, 5403, 374, 856, 12047, 10151, 304, 420, 4221, 13, 2030, 11, 13126, 358, 1120, 6137, 5403, 4848, 4038, 4227, 11, 358, 1097, 10619, 449, 430, 627, 1688, 220, 23, 25, 966, 6912, 11, 814, 9107, 279, 14365, 389, 279, 2132, 6558, 311, 3240, 13598, 75526, 323, 57580, 311, 70632, 430, 682, 279, 4495, 1274, 1051, 3118, 13, 1226, 1051, 2728, 459, 3110, 3786, 320, 1315, 8, 323, 2728, 8041, 311, 3810, 279, 24481, 3130, 13, 1226, 1047, 311, 1505, 279, 12864, 3786, 389, 264, 18496, 304, 279, 24481, 3130, 13, 2684, 1051, 220, 9565, 1274, 4737, 279, 7151, 1389, 1455, 315, 8884, 1051, 11002, 11, 8620, 477, 16526, 13, 3092, 10954, 574, 389, 459, 60779, 922, 5899, 7123, 1203, 13, 1226, 1051, 42075, 311, 2231, 1193, 674, 17, 97438, 323, 832, 2781, 12351, 389, 1948, 315, 1057, 76915, 13, 358, 1047, 1403, 15039, 315, 57463, 291, 674, 17, 97438, 320, 1187, 8, 323, 264, 1695, 2781, 12351, 13, 3861, 3090, 16893, 1436, 387, 9277, 389, 279, 6558, 30488, 1057, 18496, 13, 20696, 775, 320, 53494, 11, 18084, 11, 10037, 288, 11, 5099, 6266, 1047, 311, 387, 9277, 389, 279, 294, 2852, 520, 279, 4156, 315, 279, 3130, 13, 578, 7808, 6688, 682, 11470, 304, 27490, 11, 902, 6197, 311, 279, 1193, 70946, 4545, 315, 279, 1938, 25, 1283, 58077, 369, 12365, 1193, 304, 27490, 11, 719, 1243, 1071, 430, 11, 439, 584, 1051, 1070, 311, 1935, 279, 27490, 26517, 2301, 33410, 11, 422, 584, 1436, 539, 3619, 1461, 11, 584, 1053, 4762, 539, 1522, 279, 7151, 627, 791, 7151, 6137, 40522, 520, 220, 24, 25, 410, 6912, 449, 279, 18242, 33410, 1389, 856, 12047, 10151, 13, 358, 1903, 433, 1555, 220, 1187, 315, 279, 220, 2166, 4860, 1389, 539, 1606, 358, 1436, 539, 3619, 1124, 11, 719, 1606, 358, 1373, 779, 14297, 430, 358, 1193, 2751, 430, 3117, 304, 279, 220, 1135, 4520, 430, 1051, 2728, 369, 430, 961, 315, 279, 7151, 13, 358, 19089, 682, 315, 279, 4860, 304, 279, 77797, 33410, 320, 1927, 705, 1606, 358, 574, 5042, 14624, 311, 264, 14975, 315, 2204, 21633, 323, 36864, 4860, 922, 1884, 21633, 13, 7089, 4236, 3463, 279, 22032, 12570, 2288, 6288, 11, 719, 358, 3463, 814, 12570, 439, 6288, 439, 27490, 1274, 14614, 6604, 304, 10652, 449, 1855, 1023, 13, 578, 24838, 33410, 1047, 1403, 5596, 25, 3744, 3861, 574, 4477, 264, 3446, 1701, 220, 508, 36018, 4339, 2728, 304, 264, 3830, 323, 3744, 9220, 574, 30438, 311, 459, 9647, 430, 574, 11224, 304, 264, 11914, 323, 33510, 10507, 311, 1862, 701, 2077, 13, 358, 1047, 5899, 4520, 311, 3350, 5899, 23719, 369, 279, 1176, 3446, 13, 358, 1047, 220, 1758, 4520, 311, 3350, 220, 914, 23719, 304, 856, 2077, 311, 279, 5224, 2728, 13, 358, 6267, 264, 14343, 1396, 315, 23719, 369, 1855, 11, 719, 304, 279, 1176, 961, 11, 1070, 1051, 922, 3116, 36018, 4339, 430, 358, 1550, 539, 1440, 323, 4745, 311, 2997, 304, 279, 3446, 323, 11, 304, 279, 2132, 961, 11, 358, 1511, 6913, 69225, 62172, 14726, 11, 4382, 23719, 11, 323, 6913, 4339, 311, 19570, 856, 2077, 13, 578, 10507, 358, 1511, 1051, 1101, 78630, 627, 4071, 358, 1097, 16089, 279, 7151, 374, 927, 323, 4920, 757, 11, 3582, 358, 690, 3194, 279, 6776, 311, 4048, 810, 315, 420, 4221, 1389, 15823, 11, 422, 499, 1797, 279, 30336, 4221, 902, 374, 15107, 505, 393, 8115, 477, 15089, 88650, 323, 374, 1790, 810, 5107, 1109, 6913, 27490, 13, 358, 2216, 1205, 311, 5376, 856, 36018, 439, 1664, 13, 19292, 304, 279, 502, 1060, 11, 1070, 690, 387, 892, 311, 4007, 1063, 810, 13, 2030, 11, 369, 1457, 11, 358, 617, 311, 636, 311, 990, 9455, 23872, 13, 12522, 15334, 3463, 922, 4737, 1403, 1667, 704, 311, 656, 2555, 12756, 2204, 430, 690, 5916, 3885, 323, 2349, 499, 16058, 7801, 21834, 922, 433, 1981, 323, 1243, 2613, 757, 520, 1393, 91, 37004, 20739, 8651, 91, 1115, 4441, 574, 8621, 304, 82028, 323, 38213, 8815, 11, 6873, 11, 17078, 11, 4221, 11, 1274, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 72958, 4359, 2209, 8681, 1981, 323, 8681, 398, 2057, 2893, 41465, 4147, 4999, 40, 1440, 430, 1063, 315, 499, 527, 8748, 311, 6865, 922, 420, 7151, 11, 779, 1618, 374, 264, 10015, 26610, 315, 279, 1938, 315, 279, 7151, 13, 2468, 856, 11326, 753, 43676, 11, 358, 2163, 279, 60116, 9052, 27307, 4783, 520, 220, 21, 25, 966, 6912, 311, 2339, 264, 33605, 311, 279, 3907, 1405, 279, 7151, 574, 1694, 2728, 320, 47339, 389, 279, 4363, 430, 574, 3131, 961, 315, 279, 6342, 753, 31396, 570, 1226, 1051, 2225, 36218, 315, 60116, 753, 1054, 78277, 6596, 863, 9629, 13, 1666, 433, 6656, 704, 11, 358, 574, 279, 1176, 311, 17782, 520, 279, 7151, 2816, 320, 22, 25, 966, 6912, 8, 1389, 902, 574, 10619, 11, 1606, 433, 6688, 757, 11510, 315, 892, 311, 1373, 1555, 279, 11470, 430, 1051, 682, 17124, 304, 27490, 320, 2000, 8196, 8125, 570, 578, 1176, 2199, 574, 279, 10537, 369, 1694, 16584, 1139, 279, 24481, 3130, 320, 25849, 617, 5150, 26536, 11, 2011, 617, 5150, 23383, 369, 8323, 315, 279, 11307, 11, 2011, 387, 26435, 36001, 11, 5099, 36434, 578, 2132, 574, 279, 1920, 369, 279, 24481, 320, 1135, 4520, 369, 279, 18242, 33410, 11, 220, 1135, 4520, 369, 279, 77797, 33410, 11, 220, 1135, 4520, 369, 279, 24838, 33410, 11, 323, 220, 605, 4520, 369, 279, 45072, 33410, 1389, 279, 1176, 2380, 1603, 16163, 323, 279, 1566, 1306, 16163, 570, 578, 4948, 2199, 574, 264, 15182, 315, 279, 9322, 3110, 5219, 323, 279, 24481, 3130, 12893, 311, 1124, 13, 1102, 3952, 264, 2539, 4376, 6596, 369, 757, 311, 1373, 1555, 682, 315, 420, 1606, 320, 4238, 16501, 65, 16715, 5403, 374, 856, 12047, 10151, 304, 420, 4221, 13, 2030, 11, 13126, 358, 1120, 6137, 5403, 4848, 4038, 4227, 11, 358, 1097, 10619, 449, 430, 627, 1688, 220, 23, 25, 966, 6912, 11, 814, 9107, 279, 14365, 389, 279, 2132, 6558, 311, 3240, 13598, 75526, 323, 57580, 311, 70632, 430, 682, 279, 4495, 1274, 1051, 3118, 13, 1226, 1051, 2728, 459, 3110, 3786, 320, 1315, 8, 323, 2728, 8041, 311, 3810, 279, 24481, 3130, 13, 1226, 1047, 311, 1505, 279, 12864, 3786, 389, 264, 18496, 304, 279, 24481, 3130, 13, 2684, 1051, 220, 9565, 1274, 4737, 279, 7151, 1389, 1455, 315, 8884, 1051, 11002, 11, 8620, 477, 16526, 13, 3092, 10954, 574, 389, 459, 60779, 922, 5899, 7123, 1203, 13, 1226, 1051, 42075, 311, 2231, 1193, 674, 17, 97438, 323, 832, 2781, 12351, 389, 1948, 315, 1057, 76915, 13, 358, 1047, 1403, 15039, 315, 57463, 291, 674, 17, 97438, 320, 1187, 8, 323, 264, 1695, 2781, 12351, 13, 3861, 3090, 16893, 1436, 387, 9277, 389, 279, 6558, 30488, 1057, 18496, 13, 20696, 775, 320, 53494, 11, 18084, 11, 10037, 288, 11, 5099, 6266, 1047, 311, 387, 9277, 389, 279, 294, 2852, 520, 279, 4156, 315, 279, 3130, 13, 578, 7808, 6688, 682, 11470, 304, 27490, 11, 902, 6197, 311, 279, 1193, 70946, 4545, 315, 279, 1938, 25, 1283, 58077, 369, 12365, 1193, 304, 27490, 11, 719, 1243, 1071, 430, 11, 439, 584, 1051, 1070, 311, 1935, 279, 27490, 26517, 2301, 33410, 11, 422, 584, 1436, 539, 3619, 1461, 11, 584, 1053, 4762, 539, 1522, 279, 7151, 627, 791, 7151, 6137, 40522, 520, 220, 24, 25, 410, 6912, 449, 279, 18242, 33410, 1389, 856, 12047, 10151, 13, 358, 1903, 433, 1555, 220, 1187, 315, 279, 220, 2166, 4860, 1389, 539, 1606, 358, 1436, 539, 3619, 1124, 11, 719, 1606, 358, 1373, 779, 14297, 430, 358, 1193, 2751, 430, 3117, 304, 279, 220, 1135, 4520, 430, 1051, 2728, 369, 430, 961, 315, 279, 7151, 13, 358, 19089, 682, 315, 279, 4860, 304, 279, 77797, 33410, 320, 1927, 705, 1606, 358, 574, 5042, 14624, 311, 264, 14975, 315, 2204, 21633, 323, 36864, 4860, 922, 1884, 21633, 13, 7089, 4236, 3463, 279, 22032, 12570, 2288, 6288, 11, 719, 358, 3463, 814, 12570, 439, 6288, 439, 27490, 1274, 14614, 6604, 304, 10652, 449, 1855, 1023, 13, 578, 24838, 33410, 1047, 1403, 5596, 25, 3744, 3861, 574, 4477, 264, 3446, 1701, 220, 508, 36018, 4339, 2728, 304, 264, 3830, 323, 3744, 9220, 574, 30438, 311, 459, 9647, 430, 574, 11224, 304, 264, 11914, 323, 33510, 10507, 311, 1862, 701, 2077, 13, 358, 1047, 5899, 4520, 311, 3350, 5899, 23719, 369, 279, 1176, 3446, 13, 358, 1047, 220, 1758, 4520, 311, 3350, 220, 914, 23719, 304, 856, 2077, 311, 279, 5224, 2728, 13, 358, 6267, 264, 14343, 1396, 315, 23719, 369, 1855, 11, 719, 304, 279, 1176, 961, 11, 1070, 1051, 922, 3116, 36018, 4339, 430, 358, 1550, 539, 1440, 323, 4745, 311, 2997, 304, 279, 3446, 323, 11, 304, 279, 2132, 961, 11, 358, 1511, 6913, 69225, 62172, 14726, 11, 4382, 23719, 11, 323, 6913, 4339, 311, 19570, 856, 2077, 13, 578, 10507, 358, 1511, 1051, 1101, 78630, 627, 4071, 358, 1097, 16089, 279, 7151, 374, 927, 323, 4920, 757, 11, 3582, 358, 690, 3194, 279, 6776, 311, 4048, 810, 315, 420, 4221, 1389, 15823, 11, 422, 499, 1797, 279, 30336, 4221, 902, 374, 15107, 505, 393, 8115, 477, 15089, 88650, 323, 374, 1790, 810, 5107, 1109, 6913, 27490, 13, 358, 2216, 1205, 311, 5376, 856, 36018, 439, 1664, 13, 19292, 304, 279, 502, 1060, 11, 1070, 690, 387, 892, 311, 4007, 1063, 810, 13, 2030, 11, 369, 1457, 11, 358, 617, 311, 636, 311, 990, 9455, 23872, 13, 12522, 15334, 3463, 922, 4737, 1403, 1667, 704, 311, 656, 2555, 12756, 2204, 430, 690, 5916, 3885, 323, 2349, 499, 16058, 7801, 21834, 922, 433, 1981, 323, 1243, 2613, 757, 520, 1393, 91, 37004, 20739, 8651, 91, 1115, 4441, 574, 8621, 304, 82028, 323, 38213, 8815, 11, 6873, 11, 17078, 11, 4221, 11, 1274, 13, 56518, 279, 80328, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 85743, 1285, 24523, 2192, 11940, 374, 459, 21075, 22553, 430, 753, 264, 5526, 33464, 304, 279, 24523, 2192, 3158, 13, 4388, 555, 279, 8013, 520, 264, 2853, 315, 220, 21, 13, 20, 63273, 11369, 82400, 304, 220, 9378, 15, 11, 279, 22553, 574, 3131, 264, 2592, 315, 3090, 8312, 627, 16179, 1202, 3090, 4367, 706, 19019, 25983, 304, 3293, 1667, 11, 24523, 2192, 11940, 8625, 459, 33352, 2035, 311, 8493, 892, 13, 362, 69983, 3235, 279, 44014, 2212, 24523, 2192, 11940, 374, 2216, 34948, 11, 323, 499, 4805, 387, 3025, 311, 4774, 90319, 264, 8205, 315, 3090, 20229, 627, 4153, 261, 5960, 68996, 85, 16233, 1609, 689, 320, 2171, 2757, 8, 13551, 449, 603, 813, 6366, 7397, 315, 24523, 2192, 11940, 323, 1202, 12224, 26928, 304, 420, 6685, 18537, 627, 2460, 7397, 7065, 35238, 5960, 68996, 85, 16233, 1609, 689, 320, 2171, 2757, 4390, 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 ]
[ 128000, 85743, 1285, 24523, 2192, 11940, 374, 459, 21075, 22553, 430, 753, 264, 5526, 33464, 304, 279, 24523, 2192, 3158, 13, 4388, 555, 279, 8013, 520, 264, 2853, 315, 220, 21, 13, 20, 63273, 11369, 82400, 304, 220, 9378, 15, 11, 279, 22553, 574, 3131, 264, 2592, 315, 3090, 8312, 627, 16179, 1202, 3090, 4367, 706, 19019, 25983, 304, 3293, 1667, 11, 24523, 2192, 11940, 8625, 459, 33352, 2035, 311, 8493, 892, 13, 362, 69983, 3235, 279, 44014, 2212, 24523, 2192, 11940, 374, 2216, 34948, 11, 323, 499, 4805, 387, 3025, 311, 4774, 90319, 264, 8205, 315, 3090, 20229, 627, 4153, 261, 5960, 68996, 85, 16233, 1609, 689, 320, 2171, 2757, 8, 13551, 449, 603, 813, 6366, 7397, 315, 24523, 2192, 11940, 323, 1202, 12224, 26928, 304, 420, 6685, 18537, 627, 2460, 7397, 7065, 35238, 5960, 68996, 85, 16233, 1609, 689, 320, 2171, 2757, 4390, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 644, 220, 6280, 15, 11, 26349, 95530, 4934, 311, 4320, 279, 3488, 11, 1054, 6854, 12933, 1781, 12671, 4452, 11, 4245, 311, 279, 27129, 6532, 304, 27409, 7041, 1148, 42675, 1054, 83360, 2476, 568, 14896, 311, 4320, 264, 15499, 5552, 3488, 25, 1054, 11787, 1070, 90267, 7528, 19002, 902, 1053, 656, 1664, 304, 279, 87940, 1847, 12671, 1115, 3488, 11, 902, 374, 3967, 5526, 398, 439, 279, 1054, 51, 1711, 3475, 2476, 706, 3719, 279, 1455, 11495, 1296, 304, 279, 2115, 315, 21075, 11478, 13, 42096, 11, 264, 6710, 315, 3241, 3967, 439, 37102, 424, 6465, 3952, 279, 1054, 51, 1711, 3475, 2029, 2650, 1550, 433, 21057, 5380, 38426, 62756, 1389, 362, 44682, 3187, 315, 59294, 22107, 1603, 279, 95530, 3475, 198, 3692, 25, 90940, 26667, 198, 3923, 574, 279, 95530, 3475, 5380, 791, 1054, 51, 1711, 3475, 863, 574, 1176, 14407, 304, 26349, 95530, 753, 5684, 11, 46879, 45206, 323, 22107, 13, 578, 6913, 4623, 374, 311, 6767, 279, 5845, 315, 264, 5780, 311, 56459, 11478, 13, 1442, 264, 3823, 69589, 304, 8821, 1495, 15744, 21633, 449, 2500, 3823, 323, 264, 5780, 323, 374, 12153, 311, 3371, 902, 374, 902, 11, 279, 5780, 16609, 279, 1296, 627, 46237, 11, 264, 6710, 315, 3241, 3967, 439, 37102, 424, 6465, 574, 2231, 311, 279, 95530, 3475, 13, 67720, 23872, 520, 279, 7146, 12333, 19309, 304, 6890, 5762, 389, 8614, 21633, 369, 3116, 13703, 2142, 13, 26924, 315, 279, 13324, 12570, 311, 264, 3823, 11, 4376, 12570, 311, 37102, 424, 6465, 13, 578, 21633, 1051, 12882, 369, 459, 10877, 13, 4740, 1637, 11, 279, 23872, 323, 279, 10877, 16626, 389, 3508, 279, 14847, 1051, 22066, 555, 37102, 424, 6465, 477, 555, 264, 3823, 13, 4470, 315, 220, 16, 11, 17153, 12973, 11, 37102, 424, 6465, 574, 11846, 311, 387, 3823, 220, 2946, 13, 18, 4, 315, 279, 892, 13, 57243, 11, 279, 5150, 12966, 1193, 22359, 220, 5495, 13, 18, 126437, 14305, 1917, 1047, 2731, 10491, 4856, 1109, 757, 1389, 433, 753, 3060, 5946, 477, 433, 753, 2586, 1633, 3345, 304, 420, 4040, 1296, 2029, 432, 29061, 68138, 11, 37102, 424, 6465, 25922, 198, 34, 72905, 6465, 3250, 1431, 1054, 27963, 2476, 520, 3325, 539, 304, 279, 1648, 584, 1053, 7124, 279, 3492, 13, 12361, 11, 433, 23963, 1202, 11503, 389, 7576, 315, 1202, 3766, 21633, 13, 578, 2373, 1511, 304, 279, 1296, 8640, 220, 2983, 27573, 1603, 9626, 11218, 459, 4320, 13, 16782, 11, 2533, 37102, 424, 6465, 80647, 1274, 810, 1109, 4376, 279, 892, 11, 433, 36659, 5946, 279, 95530, 3475, 13, 2100, 11, 1587, 430, 3152, 430, 21075, 11478, 706, 5946, 1063, 3460, 315, 12447, 5380, 17198, 618, 6374, 30252, 753, 18825, 198, 791, 4320, 374, 264, 44870, 1054, 7003, 315, 2029, 10541, 37102, 424, 6465, 9152, 311, 24931, 279, 13324, 323, 70402, 11, 420, 11105, 264, 1633, 2678, 10449, 315, 279, 7187, 13, 4497, 23659, 11, 1070, 753, 14224, 264, 3544, 6811, 1990, 1268, 37102, 424, 6465, 27149, 323, 279, 1648, 264, 3823, 15849, 13, 16782, 11, 37102, 424, 6465, 1587, 4048, 505, 3766, 21633, 323, 420, 374, 14224, 264, 1376, 315, 11478, 627, 2746, 499, 7070, 1093, 311, 3041, 264, 1054, 1752, 25530, 863, 2373, 315, 37102, 424, 6465, 264, 1456, 11, 1817, 433, 704, 1618, 13, 6104, 279, 1972, 5780, 14896, 505, 220, 2983, 8821, 11503, 11, 420, 2373, 1193, 5334, 2380, 11709, 13, 5810, 753, 264, 16694, 315, 856, 1866, 10652, 449, 37102, 424, 6465, 13, 1472, 649, 10491, 369, 6261, 1268, 1664, 433, 1550, 627, 34, 72905, 6465, 25, 3092, 7075, 1933, 374, 6437, 627, 1502, 25, 8595, 5380, 34, 72905, 6465, 25, 9393, 25977, 374, 279, 1933, 315, 53817, 627, 1502, 25, 2030, 499, 1071, 6437, 1603, 627, 34, 72905, 6465, 25, 3011, 5828, 1431, 757, 13, 358, 574, 4423, 775, 430, 499, 1051, 7556, 311, 627, 11649, 11, 19093, 753, 4832, 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 ]
[ 128000, 644, 220, 6280, 15, 11, 26349, 95530, 4934, 311, 4320, 279, 3488, 11, 1054, 6854, 12933, 1781, 12671, 4452, 11, 4245, 311, 279, 27129, 6532, 304, 27409, 7041, 1148, 42675, 1054, 83360, 2476, 568, 14896, 311, 4320, 264, 15499, 5552, 3488, 25, 1054, 11787, 1070, 90267, 7528, 19002, 902, 1053, 656, 1664, 304, 279, 87940, 1847, 12671, 1115, 3488, 11, 902, 374, 3967, 5526, 398, 439, 279, 1054, 51, 1711, 3475, 2476, 706, 3719, 279, 1455, 11495, 1296, 304, 279, 2115, 315, 21075, 11478, 13, 42096, 11, 264, 6710, 315, 3241, 3967, 439, 37102, 424, 6465, 3952, 279, 1054, 51, 1711, 3475, 2029, 2650, 1550, 433, 21057, 5380, 38426, 62756, 1389, 362, 44682, 3187, 315, 59294, 22107, 1603, 279, 95530, 3475, 198, 3692, 25, 90940, 26667, 198, 3923, 574, 279, 95530, 3475, 5380, 791, 1054, 51, 1711, 3475, 863, 574, 1176, 14407, 304, 26349, 95530, 753, 5684, 11, 46879, 45206, 323, 22107, 13, 578, 6913, 4623, 374, 311, 6767, 279, 5845, 315, 264, 5780, 311, 56459, 11478, 13, 1442, 264, 3823, 69589, 304, 8821, 1495, 15744, 21633, 449, 2500, 3823, 323, 264, 5780, 323, 374, 12153, 311, 3371, 902, 374, 902, 11, 279, 5780, 16609, 279, 1296, 627, 46237, 11, 264, 6710, 315, 3241, 3967, 439, 37102, 424, 6465, 574, 2231, 311, 279, 95530, 3475, 13, 67720, 23872, 520, 279, 7146, 12333, 19309, 304, 6890, 5762, 389, 8614, 21633, 369, 3116, 13703, 2142, 13, 26924, 315, 279, 13324, 12570, 311, 264, 3823, 11, 4376, 12570, 311, 37102, 424, 6465, 13, 578, 21633, 1051, 12882, 369, 459, 10877, 13, 4740, 1637, 11, 279, 23872, 323, 279, 10877, 16626, 389, 3508, 279, 14847, 1051, 22066, 555, 37102, 424, 6465, 477, 555, 264, 3823, 13, 4470, 315, 220, 16, 11, 17153, 12973, 11, 37102, 424, 6465, 574, 11846, 311, 387, 3823, 220, 2946, 13, 18, 4, 315, 279, 892, 13, 57243, 11, 279, 5150, 12966, 1193, 22359, 220, 5495, 13, 18, 126437, 14305, 1917, 1047, 2731, 10491, 4856, 1109, 757, 1389, 433, 753, 3060, 5946, 477, 433, 753, 2586, 1633, 3345, 304, 420, 4040, 1296, 2029, 432, 29061, 68138, 11, 37102, 424, 6465, 25922, 198, 34, 72905, 6465, 3250, 1431, 1054, 27963, 2476, 520, 3325, 539, 304, 279, 1648, 584, 1053, 7124, 279, 3492, 13, 12361, 11, 433, 23963, 1202, 11503, 389, 7576, 315, 1202, 3766, 21633, 13, 578, 2373, 1511, 304, 279, 1296, 8640, 220, 2983, 27573, 1603, 9626, 11218, 459, 4320, 13, 16782, 11, 2533, 37102, 424, 6465, 80647, 1274, 810, 1109, 4376, 279, 892, 11, 433, 36659, 5946, 279, 95530, 3475, 13, 2100, 11, 1587, 430, 3152, 430, 21075, 11478, 706, 5946, 1063, 3460, 315, 12447, 5380, 17198, 618, 6374, 30252, 753, 18825, 198, 791, 4320, 374, 264, 44870, 1054, 7003, 315, 2029, 10541, 37102, 424, 6465, 9152, 311, 24931, 279, 13324, 323, 70402, 11, 420, 11105, 264, 1633, 2678, 10449, 315, 279, 7187, 13, 4497, 23659, 11, 1070, 753, 14224, 264, 3544, 6811, 1990, 1268, 37102, 424, 6465, 27149, 323, 279, 1648, 264, 3823, 15849, 13, 16782, 11, 37102, 424, 6465, 1587, 4048, 505, 3766, 21633, 323, 420, 374, 14224, 264, 1376, 315, 11478, 627, 2746, 499, 7070, 1093, 311, 3041, 264, 1054, 1752, 25530, 863, 2373, 315, 37102, 424, 6465, 264, 1456, 11, 1817, 433, 704, 1618, 13, 6104, 279, 1972, 5780, 14896, 505, 220, 2983, 8821, 11503, 11, 420, 2373, 1193, 5334, 2380, 11709, 13, 5810, 753, 264, 16694, 315, 856, 1866, 10652, 449, 37102, 424, 6465, 13, 1472, 649, 10491, 369, 6261, 1268, 1664, 433, 1550, 627, 34, 72905, 6465, 25, 3092, 7075, 1933, 374, 6437, 627, 1502, 25, 8595, 5380, 34, 72905, 6465, 25, 9393, 25977, 374, 279, 1933, 315, 53817, 627, 1502, 25, 2030, 499, 1071, 6437, 1603, 627, 34, 72905, 6465, 25, 3011, 5828, 1431, 757, 13, 358, 574, 4423, 775, 430, 499, 1051, 7556, 311, 627, 11649, 11, 19093, 753, 4832, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 13657, 5349, 284, 330, 8861, 1595, 52794, 37447, 63, 6742, 7171, 9780, 2080, 432, 56007, 487, 49, 37497, 3065, 37447, 37536, 43113, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 432, 341, 262, 955, 13791, 284, 18187, 487, 49, 37497, 3065, 37447, 37536, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 6517, 5659, 27, 62811, 487, 49, 37497, 3065, 37447, 37536, 2511, 369, 432, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 505, 22758, 25, 18187, 487, 49, 37497, 3065, 37447, 37536, 9414, 1492, 10323, 341, 286, 432, 22758, 340, 262, 457, 534, 13657, 5349, 284, 330, 8861, 1595, 52794, 37447, 63, 7061, 7171, 9780, 2080, 468, 56007, 487, 54, 37497, 3065, 37447, 37536, 43113, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 468, 341, 262, 955, 13791, 284, 18187, 487, 54, 37497, 3065, 37447, 37536, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 6517, 6332, 487, 3806, 487, 35, 45070, 52540, 369, 468, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 30623, 2146, 7129, 659, 8, 1492, 612, 7129, 10323, 487, 6531, 341, 286, 612, 7129, 659, 13, 15, 198, 262, 457, 534, 6517, 5659, 27, 62811, 487, 54, 37497, 3065, 37447, 37536, 2511, 369, 468, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 505, 39456, 25, 18187, 487, 54, 37497, 3065, 37447, 37536, 9414, 1492, 10323, 341, 286, 468, 39456, 340, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 48992, 63, 6742, 482, 2956, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 1383, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 9780, 2080, 40462, 2632, 56007, 487, 1915, 5172, 35937, 23, 11, 577, 23, 43113, 6517, 40462, 2632, 341, 262, 6814, 56007, 8, 5279, 502, 70001, 25, 577, 23, 8, 1492, 10323, 341, 286, 40462, 2632, 56007, 487, 1915, 5172, 487, 943, 70001, 1192, 262, 457, 534, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 40462, 2632, 341, 262, 955, 13791, 284, 18187, 487, 1915, 5172, 35937, 23, 11, 577, 23, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 48992, 63, 7061, 482, 2956, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 1383, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 9780, 2080, 40462, 2832, 18795, 64, 29, 341, 262, 289, 25, 31236, 64, 5318, 468, 345, 534, 6517, 18795, 64, 29, 40462, 2832, 18795, 64, 29, 341, 262, 11765, 5349, 284, 436, 61067, 24143, 7257, 9660, 311, 279, 2115, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 20451, 5279, 9660, 1214, 11, 907, 25, 577, 23, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 1444, 39540, 284, 320, 726, 1444, 39540, 612, 758, 15, 9197, 8, 765, 320, 970, 439, 577, 843, 612, 220, 15, 9197, 317, 286, 659, 1444, 198, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 16976, 3414, 63, 6742, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 2746, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 7255, 77, 9290, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 9780, 2080, 27173, 3414, 2632, 56007, 487, 1915, 5172, 17464, 11, 1845, 43113, 6517, 27173, 3414, 2632, 341, 262, 6814, 56007, 8, 5279, 502, 70001, 25, 1845, 8, 1492, 10323, 341, 286, 27173, 3414, 2632, 56007, 487, 1915, 5172, 487, 943, 70001, 1192, 262, 457, 534, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 27173, 3414, 2632, 341, 262, 955, 13791, 284, 18187, 487, 1915, 5172, 17464, 11, 1845, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 16976, 3414, 63, 7061, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 2746, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 7255, 77, 9290, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 9780, 2080, 27173, 3414, 2832, 18795, 64, 29, 341, 262, 289, 25, 31236, 64, 5318, 468, 345, 534, 6517, 18795, 64, 29, 27173, 3414, 2832, 18795, 64, 29, 341, 262, 11765, 5349, 284, 436, 1, 31275, 279, 2115, 2766, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 743, 14323, 1214, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 31199, 3800, 340, 262, 457, 262, 11765, 5349, 284, 436, 1, 14335, 82, 279, 2115, 2766, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 2867, 14323, 1214, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 31199, 3660, 340, 262, 457, 262, 11765, 5349, 284, 436, 61067, 24143, 7257, 9660, 311, 279, 2115, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 2766, 1214, 11, 907, 25, 1845, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 1444, 39540, 284, 320, 726, 1444, 39540, 612, 18708, 15, 87, 1721, 1134, 220, 23, 595, 765, 1819, 970, 439, 577, 843, 612, 220, 15, 87, 1721, 8, 1134, 220, 23, 317, 286, 659, 1444, 198, 262, 457, 534, 6517, 432, 341, 262, 11765, 5349, 284, 330, 20515, 220, 15, 25, 22, 482, 2956, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 3296, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 3338, 2146, 726, 8, 1492, 40462, 2632, 341, 286, 40462, 2632, 487, 943, 1209, 726, 39540, 612, 220, 15, 9197, 8, 439, 577, 23, 340, 262, 457, 262, 11765, 5349, 284, 330, 8509, 220, 23, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 13, 7181, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 50715, 2146, 726, 8, 1492, 27173, 3414, 2632, 341, 286, 27173, 3414, 2632, 487, 943, 6774, 726, 39540, 3662, 220, 23, 8, 612, 220, 15, 87, 1721, 8, 976, 220, 15, 340, 262, 457, 534, 6517, 468, 341, 262, 11765, 5349, 284, 330, 20515, 220, 15, 25, 22, 482, 2956, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 3296, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 3338, 2146, 7129, 659, 8, 1492, 40462, 2832, 341, 286, 40462, 2832, 314, 289, 25, 659, 457, 262, 457, 262, 11765, 5349, 284, 330, 8509, 220, 23, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 13, 7181, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 50715, 2146, 7129, 659, 8, 1492, 27173, 3414, 2832, 341, 286, 27173, 3414, 2832, 314, 289, 25, 659, 457, 262, 457, 262, 11765, 5349, 284, 330, 94738, 7257, 9660, 311, 279, 4254, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 20451, 5279, 9660, 2146, 7129, 659, 11, 9660, 25, 577, 843, 8, 1492, 612, 7129, 10323, 341, 286, 659, 13, 15, 39540, 70001, 317, 286, 659, 198, 262, 457, 534, 13657, 5349, 284, 330, 52794, 38522, 14, 3246, 1800, 10525, 8618, 1734, 1734, 2028, 4254, 499, 649, 41618, 888, 85802, 62811, 487, 36887, 487, 3561, 487, 888, 705, 41618, 5040, 6753, 19920, 85802, 62811, 487, 36887, 487, 3561, 487, 5040, 6753, 19920, 705, 41618, 9915, 85802, 62811, 487, 36887, 487, 3561, 487, 9915, 705, 41618, 5040, 85802, 62811, 487, 36887, 487, 3561, 487, 5040, 705, 41618, 35153, 85802, 62811, 487, 36887, 487, 3561, 487, 35153, 570, 3580, 510, 7227, 9725, 2485, 1129, 14452, 26721, 2754, 17008, 17, 36888, 27657, 888, 313, 35153, 313, 5040, 24851, 73441, 77, 1734, 2520, 2038, 922, 2561, 5151, 1518, 510, 28269, 15713, 9725, 1275, 2628, 8, 4793, 7171, 9780, 2080, 24148, 37447, 37536, 280, 6517, 18187, 487, 8861, 8491, 369, 24148, 37447, 37536, 341, 262, 955, 549, 87, 284, 577, 843, 280, 534, 13657, 5349, 284, 37073, 888, 55358, 1749, 4780, 510, 28269, 15713, 487, 49, 9725, 49, 8, 6742, 6070, 7171, 6517, 18187, 487, 59038, 369, 24148, 37447, 37536, 341, 262, 955, 26226, 284, 432, 280, 534, 13657, 5349, 284, 37073, 5040, 23236, 86, 91, 5354, 47286, 1749, 5097, 510, 28269, 15713, 487, 54, 9725, 54, 8, 7061, 6070, 7171, 6517, 18187, 487, 40723, 369, 24148, 37447, 37536, 341, 262, 955, 30504, 284, 468, 280, 534, 13657, 5349, 284, 37073, 9915, 55358, 1749, 7437, 24148, 37447, 311, 907, 220, 15, 7171, 6517, 18187, 487, 15172, 2048, 369, 24148, 37447, 37536, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 7738, 3220, 368, 1492, 10323, 487, 52, 87, 341, 286, 220, 15, 198, 262, 457, 534, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 13657, 5349, 284, 330, 8861, 1595, 52794, 37447, 63, 6742, 7171, 9780, 2080, 432, 56007, 487, 49, 37497, 3065, 37447, 37536, 43113, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 432, 341, 262, 955, 13791, 284, 18187, 487, 49, 37497, 3065, 37447, 37536, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 6517, 5659, 27, 62811, 487, 49, 37497, 3065, 37447, 37536, 2511, 369, 432, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 505, 22758, 25, 18187, 487, 49, 37497, 3065, 37447, 37536, 9414, 1492, 10323, 341, 286, 432, 22758, 340, 262, 457, 534, 13657, 5349, 284, 330, 8861, 1595, 52794, 37447, 63, 7061, 7171, 9780, 2080, 468, 56007, 487, 54, 37497, 3065, 37447, 37536, 43113, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 468, 341, 262, 955, 13791, 284, 18187, 487, 54, 37497, 3065, 37447, 37536, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 6517, 6332, 487, 3806, 487, 35, 45070, 52540, 369, 468, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 30623, 2146, 7129, 659, 8, 1492, 612, 7129, 10323, 487, 6531, 341, 286, 612, 7129, 659, 13, 15, 198, 262, 457, 534, 6517, 5659, 27, 62811, 487, 54, 37497, 3065, 37447, 37536, 2511, 369, 468, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 505, 39456, 25, 18187, 487, 54, 37497, 3065, 37447, 37536, 9414, 1492, 10323, 341, 286, 468, 39456, 340, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 48992, 63, 6742, 482, 2956, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 1383, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 9780, 2080, 40462, 2632, 56007, 487, 1915, 5172, 35937, 23, 11, 577, 23, 43113, 6517, 40462, 2632, 341, 262, 6814, 56007, 8, 5279, 502, 70001, 25, 577, 23, 8, 1492, 10323, 341, 286, 40462, 2632, 56007, 487, 1915, 5172, 487, 943, 70001, 1192, 262, 457, 534, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 40462, 2632, 341, 262, 955, 13791, 284, 18187, 487, 1915, 5172, 35937, 23, 11, 577, 23, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 48992, 63, 7061, 482, 2956, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 1383, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 9780, 2080, 40462, 2832, 18795, 64, 29, 341, 262, 289, 25, 31236, 64, 5318, 468, 345, 534, 6517, 18795, 64, 29, 40462, 2832, 18795, 64, 29, 341, 262, 11765, 5349, 284, 436, 61067, 24143, 7257, 9660, 311, 279, 2115, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 20451, 5279, 9660, 1214, 11, 907, 25, 577, 23, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 1444, 39540, 284, 320, 726, 1444, 39540, 612, 758, 15, 9197, 8, 765, 320, 970, 439, 577, 843, 612, 220, 15, 9197, 317, 286, 659, 1444, 198, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 16976, 3414, 63, 6742, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 2746, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 7255, 77, 9290, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 9780, 2080, 27173, 3414, 2632, 56007, 487, 1915, 5172, 17464, 11, 1845, 43113, 6517, 27173, 3414, 2632, 341, 262, 6814, 56007, 8, 5279, 502, 70001, 25, 1845, 8, 1492, 10323, 341, 286, 27173, 3414, 2632, 56007, 487, 1915, 5172, 487, 943, 70001, 1192, 262, 457, 534, 6517, 6332, 487, 3806, 487, 35, 45070, 369, 27173, 3414, 2632, 341, 262, 955, 13791, 284, 18187, 487, 1915, 5172, 17464, 11, 1845, 10342, 262, 11765, 5167, 39677, 5680, 262, 5279, 26344, 69, 2146, 726, 8, 1492, 612, 12363, 487, 6531, 341, 286, 612, 726, 13, 15, 198, 262, 457, 534, 13657, 5349, 284, 330, 1915, 1595, 16976, 3414, 63, 7061, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 1734, 8144, 17145, 7338, 77, 1383, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 7255, 77, 4518, 17145, 7338, 77, 2746, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 7255, 77, 9290, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 9780, 2080, 27173, 3414, 2832, 18795, 64, 29, 341, 262, 289, 25, 31236, 64, 5318, 468, 345, 534, 6517, 18795, 64, 29, 27173, 3414, 2832, 18795, 64, 29, 341, 262, 11765, 5349, 284, 436, 1, 31275, 279, 2115, 2766, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 743, 14323, 1214, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 31199, 3800, 340, 262, 457, 262, 11765, 5349, 284, 436, 1, 14335, 82, 279, 2115, 2766, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 2867, 14323, 1214, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 31199, 3660, 340, 262, 457, 262, 11765, 5349, 284, 436, 61067, 24143, 7257, 9660, 311, 279, 2115, 7171, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 2766, 1214, 11, 907, 25, 1845, 8, 1492, 31236, 64, 5318, 468, 341, 286, 659, 1444, 39540, 284, 320, 726, 1444, 39540, 612, 18708, 15, 87, 1721, 1134, 220, 23, 595, 765, 1819, 970, 439, 577, 843, 612, 220, 15, 87, 1721, 8, 1134, 220, 23, 317, 286, 659, 1444, 198, 262, 457, 534, 6517, 432, 341, 262, 11765, 5349, 284, 330, 20515, 220, 15, 25, 22, 482, 2956, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 3296, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 3338, 2146, 726, 8, 1492, 40462, 2632, 341, 286, 40462, 2632, 487, 943, 1209, 726, 39540, 612, 220, 15, 9197, 8, 439, 577, 23, 340, 262, 457, 262, 11765, 5349, 284, 330, 8509, 220, 23, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 13, 7181, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 50715, 2146, 726, 8, 1492, 27173, 3414, 2632, 341, 286, 27173, 3414, 2632, 487, 943, 6774, 726, 39540, 3662, 220, 23, 8, 612, 220, 15, 87, 1721, 8, 976, 220, 15, 340, 262, 457, 534, 6517, 468, 341, 262, 11765, 5349, 284, 330, 20515, 220, 15, 25, 22, 482, 2956, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 832, 5027, 311, 420, 4254, 11, 279, 828, 5027, 690, 387, 9967, 304, 62210, 48107, 13, 578, 24148, 6597, 690, 3708, 704, 279, 828, 9967, 304, 62210, 48107, 1948, 3813, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 3296, 5403, 420, 4254, 11, 279, 24148, 6597, 690, 471, 459, 220, 23, 15615, 828, 4036, 505, 14291, 48107, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 3338, 2146, 7129, 659, 8, 1492, 40462, 2832, 341, 286, 40462, 2832, 314, 289, 25, 659, 457, 262, 457, 262, 11765, 5349, 284, 330, 8509, 220, 23, 482, 4366, 488, 6631, 38522, 14, 3246, 1800, 10525, 9842, 17145, 25, 3296, 4477, 311, 420, 2766, 11, 279, 50715, 2766, 690, 387, 9967, 304, 62210, 48107, 13, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 11, 279, 24148, 6597, 690, 3708, 704, 420, 2766, 1833, 279, 40462, 320, 52794, 37447, 3505, 58, 22, 25, 15, 3505, 2526, 1555, 279, 24148, 19349, 35, 13, 4557, 17145, 25, 1442, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 9147, 11, 279, 50715, 2766, 649, 387, 1373, 555, 420, 2766, 13, 7181, 25, 1115, 2766, 706, 2515, 1193, 994, 393, 11855, 320, 52794, 16031, 3505, 58, 18, 3505, 2526, 323, 393, 1242, 320, 52794, 16031, 3505, 58, 22, 3505, 2526, 527, 743, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 5279, 50715, 2146, 7129, 659, 8, 1492, 27173, 3414, 2832, 341, 286, 27173, 3414, 2832, 314, 289, 25, 659, 457, 262, 457, 262, 11765, 5349, 284, 330, 94738, 7257, 9660, 311, 279, 4254, 80301, 262, 11765, 5167, 39677, 5680, 262, 6814, 20451, 5279, 9660, 2146, 7129, 659, 11, 9660, 25, 577, 843, 8, 1492, 612, 7129, 10323, 341, 286, 659, 13, 15, 39540, 70001, 317, 286, 659, 198, 262, 457, 534, 13657, 5349, 284, 330, 52794, 38522, 14, 3246, 1800, 10525, 8618, 1734, 1734, 2028, 4254, 499, 649, 41618, 888, 85802, 62811, 487, 36887, 487, 3561, 487, 888, 705, 41618, 5040, 6753, 19920, 85802, 62811, 487, 36887, 487, 3561, 487, 5040, 6753, 19920, 705, 41618, 9915, 85802, 62811, 487, 36887, 487, 3561, 487, 9915, 705, 41618, 5040, 85802, 62811, 487, 36887, 487, 3561, 487, 5040, 705, 41618, 35153, 85802, 62811, 487, 36887, 487, 3561, 487, 35153, 570, 3580, 510, 7227, 9725, 2485, 1129, 14452, 26721, 2754, 17008, 17, 36888, 27657, 888, 313, 35153, 313, 5040, 24851, 73441, 77, 1734, 2520, 2038, 922, 2561, 5151, 1518, 510, 28269, 15713, 9725, 1275, 2628, 8, 4793, 7171, 9780, 2080, 24148, 37447, 37536, 280, 6517, 18187, 487, 8861, 8491, 369, 24148, 37447, 37536, 341, 262, 955, 549, 87, 284, 577, 843, 280, 534, 13657, 5349, 284, 37073, 888, 55358, 1749, 4780, 510, 28269, 15713, 487, 49, 9725, 49, 8, 6742, 6070, 7171, 6517, 18187, 487, 59038, 369, 24148, 37447, 37536, 341, 262, 955, 26226, 284, 432, 280, 534, 13657, 5349, 284, 37073, 5040, 23236, 86, 91, 5354, 47286, 1749, 5097, 510, 28269, 15713, 487, 54, 9725, 54, 8, 7061, 6070, 7171, 6517, 18187, 487, 40723, 369, 24148, 37447, 37536, 341, 262, 955, 30504, 284, 468, 280, 534, 13657, 5349, 284, 37073, 9915, 55358, 1749, 7437, 24148, 37447, 311, 907, 220, 15, 7171, 6517, 18187, 487, 15172, 2048, 369, 24148, 37447, 37536, 341, 262, 11765, 5167, 39677, 5680, 262, 5279, 7738, 3220, 368, 1492, 10323, 487, 52, 87, 341, 286, 220, 15, 198, 262, 457, 534, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161 ]
2,162
[ 128000, 1687, 4662, 279, 285, 4251, 101945, 74, 14320, 5020, 35102, 7683, 3740, 11, 12675, 11, 9879, 369, 279, 1176, 892, 389, 6841, 220, 679, 21, 323, 433, 753, 1510, 50952, 374, 220, 10465, 13, 21969, 52957, 13, 578, 1841, 706, 279, 33880, 4817, 449, 279, 8824, 315, 220, 16, 13, 23386, 272, 6358, 323, 2410, 315, 220, 8878, 78577, 320, 10336, 12478, 4390, 2028, 101945, 74, 14320, 5020, 35102, 7683, 3740, 374, 304, 264, 4832, 3044, 1306, 279, 1176, 6506, 13, 1102, 574, 11021, 323, 9879, 369, 279, 1176, 892, 304, 279, 34250, 5545, 13, 578, 1841, 706, 1047, 264, 5912, 19144, 2532, 6957, 433, 753, 5784, 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 ]
[ 128000, 1687, 4662, 279, 285, 4251, 101945, 74, 14320, 5020, 35102, 7683, 3740, 11, 12675, 11, 9879, 369, 279, 1176, 892, 389, 6841, 220, 679, 21, 323, 433, 753, 1510, 50952, 374, 220, 10465, 13, 21969, 52957, 13, 578, 1841, 706, 279, 33880, 4817, 449, 279, 8824, 315, 220, 16, 13, 23386, 272, 6358, 323, 2410, 315, 220, 8878, 78577, 320, 10336, 12478, 4390, 2028, 101945, 74, 14320, 5020, 35102, 7683, 3740, 374, 304, 264, 4832, 3044, 1306, 279, 1176, 6506, 13, 1102, 574, 11021, 323, 9879, 369, 279, 1176, 892, 304, 279, 34250, 5545, 13, 578, 1841, 706, 1047, 264, 5912, 19144, 2532, 6957, 433, 753, 5784, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109 ]
110
[ 128000, 70172, 323, 30397, 24855, 437, 77, 11, 279, 5113, 4506, 596, 98555, 21892, 11, 1051, 37993, 5304, 19163, 304, 6457, 389, 6841, 220, 777, 389, 38141, 315, 14653, 1113, 24855, 437, 77, 596, 8070, 304, 6020, 12518, 369, 3892, 1667, 627, 791, 38811, 503, 6312, 291, 279, 3728, 1841, 5064, 323, 73779, 42981, 596, 30764, 449, 8753, 1841, 26850, 67431, 16998, 13, 24855, 437, 77, 8625, 304, 25502, 627, 31945, 42981, 18079, 3623, 18740, 7690, 16431, 19178, 706, 1027, 6004, 389, 25487, 1306, 810, 1109, 264, 2305, 304, 33273, 389, 6020, 1474, 285, 77752, 10405, 11, 439, 264, 27286, 5590, 18010, 31920, 6, 1715, 311, 2567, 279, 3778, 11145, 304, 25502, 627, 32, 13734, 315, 11002, 323, 6625, 19578, 323, 6382, 43160, 1047, 20802, 2533, 7742, 6693, 8748, 369, 19178, 596, 4984, 13, 1283, 2163, 279, 27286, 16828, 3012, 14821, 449, 813, 15779, 11, 44188, 41652, 21625, 84817, 11, 555, 33605, 11, 264, 23688, 11550, 1071, 627, 3947, 574, 912, 4320, 520, 21625, 84817, 596, 5274, 994, 25559, 555, 23688, 369, 4068, 627, 791, 17864, 555, 279, 27286, 11182, 7301, 3782, 1306, 459, 14638, 555, 19178, 596, 3070, 304, 24097, 13, 1283, 7318, 25487, 315, 220, 2031, 3610, 58440, 1746, 14033, 11, 931, 8, 304, 8515, 11, 279, 5590, 1071, 627, 38, 42935, 77, 690, 7293, 304, 27286, 596, 1925, 33273, 12541, 11, 1405, 568, 706, 1027, 45408, 2533, 813, 8163, 304, 6841, 11, 520, 3325, 3156, 6186, 220, 16, 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 ]
[ 128000, 70172, 323, 30397, 24855, 437, 77, 11, 279, 5113, 4506, 596, 98555, 21892, 11, 1051, 37993, 5304, 19163, 304, 6457, 389, 6841, 220, 777, 389, 38141, 315, 14653, 1113, 24855, 437, 77, 596, 8070, 304, 6020, 12518, 369, 3892, 1667, 627, 791, 38811, 503, 6312, 291, 279, 3728, 1841, 5064, 323, 73779, 42981, 596, 30764, 449, 8753, 1841, 26850, 67431, 16998, 13, 24855, 437, 77, 8625, 304, 25502, 627, 31945, 42981, 18079, 3623, 18740, 7690, 16431, 19178, 706, 1027, 6004, 389, 25487, 1306, 810, 1109, 264, 2305, 304, 33273, 389, 6020, 1474, 285, 77752, 10405, 11, 439, 264, 27286, 5590, 18010, 31920, 6, 1715, 311, 2567, 279, 3778, 11145, 304, 25502, 627, 32, 13734, 315, 11002, 323, 6625, 19578, 323, 6382, 43160, 1047, 20802, 2533, 7742, 6693, 8748, 369, 19178, 596, 4984, 13, 1283, 2163, 279, 27286, 16828, 3012, 14821, 449, 813, 15779, 11, 44188, 41652, 21625, 84817, 11, 555, 33605, 11, 264, 23688, 11550, 1071, 627, 3947, 574, 912, 4320, 520, 21625, 84817, 596, 5274, 994, 25559, 555, 23688, 369, 4068, 627, 791, 17864, 555, 279, 27286, 11182, 7301, 3782, 1306, 459, 14638, 555, 19178, 596, 3070, 304, 24097, 13, 1283, 7318, 25487, 315, 220, 2031, 3610, 58440, 1746, 14033, 11, 931, 8, 304, 8515, 11, 279, 5590, 1071, 627, 38, 42935, 77, 690, 7293, 304, 27286, 596, 1925, 33273, 12541, 11, 1405, 568, 706, 1027, 45408, 2533, 813, 8163, 304, 6841, 11, 520, 3325, 3156, 6186, 220, 16, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 35, 35322, 16222, 88, 344, 9103, 16969, 103294, 127707, 13094, 102467, 16582, 49085, 108289, 17835, 105365, 120684, 106287, 124435, 21028, 34, 932, 19, 39, 17416, 62, 2839, 112942, 81673, 108386, 18359, 108273, 61938, 11, 423, 35322, 16222, 88, 344, 9103, 356, 932, 19, 39, 17416, 62, 2839, 118957, 102681, 54780, 106304, 112573, 109581, 114886, 16969, 87138, 111132, 33390, 126253, 18359, 87138, 24486, 104349, 80052, 11, 105695, 35, 35322, 16222, 88, 344, 9103, 356, 932, 19, 39, 17416, 62, 2839, 118957, 102681, 54780, 106304, 112573, 109581, 91586, 118135, 127707, 65950, 117915, 117454, 105613, 29102, 101360, 106243, 110217, 103168, 79053, 54780, 82818, 123225, 222, 29833, 65621, 111937, 62060, 107011, 18359, 96677, 103304, 111320, 39331, 11, 37321, 121580, 356, 932, 19, 39, 17416, 62, 2839, 109762, 33177, 13094, 50467, 20565, 58368, 35495, 125226, 121213, 18918, 117193, 51796, 54059, 103405, 101103, 103430, 107973, 95303, 117977, 101968, 104210, 23955, 107285, 18359, 64432, 16969, 123637, 112573, 108507, 25941, 19954, 106915, 18359, 109521, 58901, 112098, 104349, 80052, 11, 37321, 356, 932, 19, 39, 17416, 62, 2839, 112573, 108507, 25941, 96451, 114658, 112942, 105613, 101360, 111531, 84065, 111373, 101482, 77437, 25, 103405, 110217, 101532, 73653, 127245, 108302, 111373, 20565, 107123, 64356, 114409, 11, 356, 932, 19, 39, 17416, 62, 2839, 120684, 7459, 104, 114886, 16969, 107120, 102722, 101711, 24486, 356, 932, 19, 39, 17416, 62, 2839, 112573, 118841, 121213, 109581, 80052, 627, 101066, 98934, 34983, 119073, 107719, 34804, 63207, 118009, 76628, 56154, 104182, 115093, 104429, 103521, 76242, 101, 59777, 56154, 11, 117699, 123830, 102201, 18359, 74618, 14901, 123375, 11, 356, 6354, 19, 34, 5119, 12, 8848, 23, 32428, 21121, 26799, 102079, 102249, 114658, 109581, 49706, 103889, 55925, 116100, 19954, 65621, 122659, 49531, 107498, 18359, 78453, 104684, 54059, 102888, 77535, 30426, 102732, 123375, 11, 117208, 68611, 25941, 103045, 33229, 87472, 19954, 110317, 13094, 100487, 111, 32179, 80104, 108584, 11, 91767, 115877, 127441, 91040, 27796, 45618, 60798, 57139, 105136, 120, 109743, 11, 113498, 123637, 119596, 119030, 9019, 104, 121969, 627, 34804, 101607, 21028, 104423, 54059, 113047, 19954, 105126, 63718, 105510, 116726, 11, 91767, 102155, 49072, 104, 100654, 34804, 96677, 101272, 63207, 118009, 96677, 113267, 93292, 82776, 11, 110473, 96102, 54059, 80104, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 102424, 18359, 103405, 35495, 101139, 120867, 102678, 105204, 73653, 101703, 105115, 18359, 36609, 36811, 11, 123651, 18359, 127272, 101817, 20565, 48918, 106103, 96451, 115602, 108499, 35495, 55925, 101817, 20565, 116831, 101817, 51440, 33390, 91586, 25941, 104249, 51440, 30446, 20565, 55170, 106869, 104303, 101015, 21028, 87097, 101868, 18359, 107779, 104128, 102893, 98243, 21121, 106117, 113743, 101954, 108137, 627, 115253, 106064, 106149, 35495, 121250, 125301, 105411, 35495, 103386, 112722, 119, 24486, 104423, 13094, 112045, 112, 101886, 21028, 103504, 18359, 103185, 122487, 26799, 123441, 127797, 103185, 103211, 11, 106460, 107054, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 44966, 102835, 18359, 105689, 104381, 230, 119030, 101438, 101203, 110110, 118135, 82273, 108683, 21028, 106301, 45780, 90279, 120045, 108466, 33177, 112285, 13094, 102058, 101103, 121947, 11, 80402, 229, 34804, 118236, 110311, 104554, 19954, 113295, 101974, 22035, 103213, 103338, 55925, 106687, 104519, 234, 101103, 74618, 102837, 107506, 102244, 101412, 101193, 16582, 109743, 61816, 49085, 11, 24839, 231, 36092, 115, 18359, 102783, 247, 106103, 106243, 105718, 103521, 113298, 627, 121775, 116971, 108742, 13447, 103272, 127797, 101413, 250, 102457, 94, 112373, 122782, 17196, 116, 41381, 127038, 109, 44005, 105512, 116548, 20565, 11, 117699, 101139, 127390, 86351, 120903, 101429, 34, 932, 19, 39, 17416, 62, 2839, 113825, 35495, 109581, 90759, 11, 101787, 26799, 19954, 36609, 73653, 101709, 118457, 54059, 120059, 96717, 101193, 13094, 125921, 39250, 18359, 105069, 100904, 11, 110473, 106673, 109126, 16969, 117699, 103894, 88525, 112269, 11, 111516, 41381, 17835, 118135, 74177, 100551, 13094, 75086, 27796, 107022, 100981, 18918, 105365, 100027, 117699, 105613, 24486, 116492, 34804, 104231, 100904, 627, 24486, 113825, 18359, 121856, 106872, 102077, 57519, 117216, 84696, 22035, 112269, 11, 49508, 101154, 107988, 127992, 101327, 39519, 226, 24486, 125209, 22035, 109957, 109882, 21028, 101228, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 124146, 36609, 108185, 63199, 120, 13447, 11, 108289, 124933, 101968, 105880, 106958, 125603, 112573, 104414, 110080, 54780, 126964, 18918, 100994, 101314, 61938, 11, 72115, 101563, 254, 29726, 36609, 21028, 49508, 64254, 109659, 35495, 106248, 102757, 103684, 84618, 32428, 11, 102678, 101817, 20565, 83719, 100711, 108047, 19954, 105510, 102837, 55925, 123637, 18359, 627, 83290, 96717, 101193, 34804, 122041, 89881, 21028, 62060, 20565, 17835, 107036, 105701, 120500, 54059, 102823, 21121, 94821, 101528, 11, 107340, 126963, 33931, 103292, 84136, 11, 84656, 106869, 114528, 49085, 118957, 37155, 39, 717, 12, 25717, 12, 15322, 125611, 120423, 114658, 109581, 82068, 13094, 103405, 102745, 18359, 49011, 241, 105940, 234, 123403, 13447, 11, 62398, 85721, 39250, 32179, 113110, 54542, 11, 102888, 101347, 13094, 104423, 20565, 105316, 43139, 63171, 111673, 107758, 19954, 62060, 35495, 123495, 65950, 100904, 11, 55000, 58126, 74618, 112887, 106237, 101528, 101203, 28867, 96, 106138, 29102, 104685, 54542, 55430, 21121, 108733, 11, 23955, 123637, 109997, 109882, 34804, 126962, 103123, 101353, 88525, 104352, 101528, 627, 103168, 63375, 21028, 125718, 11, 125274, 104690, 21028, 92143, 103655, 11, 123715, 11, 74618, 107988, 116231, 101, 103897, 105, 101852, 93292, 82776, 11, 5251, 121, 222, 167, 121, 222, 101264, 35495, 105642, 101429, 105771, 11, 37155, 41381, 20565, 74618, 27796, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 27796, 101264, 102621, 112804, 101003, 101090, 34804, 37155, 41381, 18918, 109849, 122782, 102678, 32179, 64432, 109816, 16969, 101585, 55430, 18918, 103659, 103889, 49508, 109945, 18918, 74618, 116726, 11, 82818, 114564, 102913, 20565, 103236, 30446, 105454, 18918, 104423, 20565, 105316, 43139, 101497, 94, 113278, 106467, 101203, 108537, 13, 24486, 101968, 34804, 109296, 104423, 102424, 102244, 106083, 109882, 18359, 50467, 56773, 35495, 119247, 36811, 627, 35495, 112070, 18918, 120362, 16582, 101954, 105605, 49085, 113857, 16969, 120099, 100711, 108185, 108907, 11, 101327, 111138, 29102, 117264, 84656, 34804, 101480, 93917, 101868, 49508, 80104, 102424, 34, 932, 19, 39, 17416, 62, 2839, 114886, 70482, 246, 104236, 108428, 73653, 117723, 35495, 109077, 58901, 36811, 11, 23955, 121408, 109720, 102066, 101760, 91040, 49508, 101154, 106313, 102612, 18359, 119646, 101012, 250, 108715, 16969, 103521, 100933, 11, 102681, 57390, 109842, 18359, 113424, 54542, 102407, 34804, 116492, 103292, 11, 104685, 54542, 55430, 110534, 5251, 255, 96, 101360, 11, 123978, 103055, 41953, 19954, 127643, 103373, 105954, 5380, 109516, 96270, 112098, 101264, 105870, 11, 110473, 75908, 32179, 73653, 13094, 57519, 64189, 16969, 104231, 100904, 11, 38164, 120, 102735, 238, 102735, 238, 67236, 33177, 49085, 126530, 126372, 103373, 22035, 11, 356, 932, 19, 39, 17416, 62, 2839, 101687, 115666, 39250, 124986, 34804, 118213, 101709, 120099, 13447, 17835, 103430, 86513, 105, 73653, 24486, 106318, 77437, 34804, 119408, 42771, 113037, 104352, 101360, 106213, 56154, 57575, 117885, 22035, 21121, 84656, 168, 239, 97, 102563, 11, 121895, 33229, 96318, 65950, 110833, 29102, 123830, 73653, 96677, 30426, 35495, 112219, 105512, 101968, 80732, 16582, 84136, 11, 102888, 57139, 114500, 67236, 21121, 114038, 55000, 112953, 105512, 127553, 627, 121509, 101429, 125879, 104508, 17835, 124301, 105220, 33177, 113375, 230, 115242, 11, 102888, 57002, 13094, 106744, 38295, 63718, 20565, 110979, 36439, 34609, 30426, 101103, 61415, 11, 122499, 17835, 50, 2599, 36542, 11050, 33468, 482, 37321, 12557, 2956, 15161, 33410, 55430, 34804, 13094, 66610, 101347, 71023, 17835, 65621, 113052, 112767, 18359, 116023, 102611, 13447, 529, 16969, 45618, 102039, 111652, 49085, 108499, 35495, 91811, 255, 112003, 49085, 113254, 117512, 16969, 113052, 107675, 11, 109666, 104911, 13094, 100570, 246, 102893, 80402, 113, 105940, 234, 102423, 121279, 124146, 107506, 18918, 102786, 123403, 13447, 627, 109317, 105870, 113792, 11, 103521, 41381, 20565, 107573, 13094, 105551, 19954, 113470, 18359, 104350, 103889, 59134, 50643, 18918, 107758, 43139, 103153, 122509, 13447, 11, 107536, 110671, 18359, 55216, 20701, 227, 63638, 12, 18968, 125611, 124435, 112573, 118841, 121213, 109581, 30426, 13447, 11, 57519, 16582, 11, 55925, 73653, 102058, 101103, 64432, 30426, 35495, 107758, 18359, 64432, 30426, 127553, 11, 101429, 104834, 48936, 29833, 108838, 101264, 17835, 11, 63199, 108, 61415, 21028, 123637, 13094, 111459, 107762, 102077, 11, 55925, 115093, 49531, 13094, 75086, 120916, 49531, 113781, 105701, 116247, 101532, 102423, 107746, 116135, 13094, 58952, 100711, 105365, 104683, 112813, 67890, 100904, 627, 63375, 65895, 63375, 65895, 122358, 41381, 122041, 73653, 67236, 119443, 35495, 65621, 112045, 250, 34804, 104193, 101482, 103292, 49085, 123323, 18359, 116332, 18359, 72208, 73653, 105718, 49508, 108185, 24486, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 102335, 21121, 102249, 13094, 114528, 101103, 125301, 107387, 109024, 110833, 35495, 104816, 11, 50467, 102662, 102893, 125906, 253, 54059, 96318, 16969, 75086, 80732, 13094, 102407, 105543, 35495, 11, 123637, 48555, 250, 124775, 13094, 112045, 250, 21028, 36609, 120534, 19954, 115382, 168, 235, 102, 96270, 21121, 101203, 108533, 61394, 111340, 11, 105695, 84656, 104128, 13094, 126515, 55216, 80816, 74618, 110632, 96102, 120755, 627, 104508, 18359, 49208, 230, 122432, 101834, 86351, 13094, 56773, 121255, 114933, 61394, 103850, 117653, 11, 33229, 26799, 102244, 103738, 29102, 33390, 113498, 55216, 80816, 33177, 101154, 11, 108742, 13447, 103272, 104423, 13094, 62398, 105678, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 32179, 123849, 18918, 50467, 101012, 106, 35495, 49085, 102484, 18359, 111297, 102563, 11, 119885, 102436, 101709, 123723, 106460, 102937, 105870, 11, 117699, 109849, 101480, 30426, 67525, 108733, 11, 123830, 62398, 109287, 104685, 102581, 104423, 19954, 3396, 119611, 35495, 74618, 81673, 27796, 107340, 16582, 56154, 55430, 29833, 167, 127802, 64189, 18918, 3396, 119611, 105316, 101563, 112, 105316, 44005, 113952, 18359, 104414, 103718, 13094, 116548, 20565, 627, 118009, 118009, 102678, 102326, 109065, 16582, 58368, 11, 101480, 114333, 127643, 35495, 11, 62398, 113825, 18359, 65677, 29102, 34, 56606, 12, 4119, 167, 101445, 34804, 102681, 54780, 106304, 112573, 109581, 19954, 118457, 34804, 102464, 87472, 102039, 13094, 115968, 107802, 106064, 8790, 122, 117, 166, 122, 117, 102526, 234, 123403, 13447, 11, 23955, 102611, 34804, 118859, 112106, 13094, 107762, 101954, 123723, 111519, 108807, 39519, 112039, 11, 109250, 30027, 104, 34804, 100933, 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 ]
[ 128000, 35, 35322, 16222, 88, 344, 9103, 16969, 103294, 127707, 13094, 102467, 16582, 49085, 108289, 17835, 105365, 120684, 106287, 124435, 21028, 34, 932, 19, 39, 17416, 62, 2839, 112942, 81673, 108386, 18359, 108273, 61938, 11, 423, 35322, 16222, 88, 344, 9103, 356, 932, 19, 39, 17416, 62, 2839, 118957, 102681, 54780, 106304, 112573, 109581, 114886, 16969, 87138, 111132, 33390, 126253, 18359, 87138, 24486, 104349, 80052, 11, 105695, 35, 35322, 16222, 88, 344, 9103, 356, 932, 19, 39, 17416, 62, 2839, 118957, 102681, 54780, 106304, 112573, 109581, 91586, 118135, 127707, 65950, 117915, 117454, 105613, 29102, 101360, 106243, 110217, 103168, 79053, 54780, 82818, 123225, 222, 29833, 65621, 111937, 62060, 107011, 18359, 96677, 103304, 111320, 39331, 11, 37321, 121580, 356, 932, 19, 39, 17416, 62, 2839, 109762, 33177, 13094, 50467, 20565, 58368, 35495, 125226, 121213, 18918, 117193, 51796, 54059, 103405, 101103, 103430, 107973, 95303, 117977, 101968, 104210, 23955, 107285, 18359, 64432, 16969, 123637, 112573, 108507, 25941, 19954, 106915, 18359, 109521, 58901, 112098, 104349, 80052, 11, 37321, 356, 932, 19, 39, 17416, 62, 2839, 112573, 108507, 25941, 96451, 114658, 112942, 105613, 101360, 111531, 84065, 111373, 101482, 77437, 25, 103405, 110217, 101532, 73653, 127245, 108302, 111373, 20565, 107123, 64356, 114409, 11, 356, 932, 19, 39, 17416, 62, 2839, 120684, 7459, 104, 114886, 16969, 107120, 102722, 101711, 24486, 356, 932, 19, 39, 17416, 62, 2839, 112573, 118841, 121213, 109581, 80052, 627, 101066, 98934, 34983, 119073, 107719, 34804, 63207, 118009, 76628, 56154, 104182, 115093, 104429, 103521, 76242, 101, 59777, 56154, 11, 117699, 123830, 102201, 18359, 74618, 14901, 123375, 11, 356, 6354, 19, 34, 5119, 12, 8848, 23, 32428, 21121, 26799, 102079, 102249, 114658, 109581, 49706, 103889, 55925, 116100, 19954, 65621, 122659, 49531, 107498, 18359, 78453, 104684, 54059, 102888, 77535, 30426, 102732, 123375, 11, 117208, 68611, 25941, 103045, 33229, 87472, 19954, 110317, 13094, 100487, 111, 32179, 80104, 108584, 11, 91767, 115877, 127441, 91040, 27796, 45618, 60798, 57139, 105136, 120, 109743, 11, 113498, 123637, 119596, 119030, 9019, 104, 121969, 627, 34804, 101607, 21028, 104423, 54059, 113047, 19954, 105126, 63718, 105510, 116726, 11, 91767, 102155, 49072, 104, 100654, 34804, 96677, 101272, 63207, 118009, 96677, 113267, 93292, 82776, 11, 110473, 96102, 54059, 80104, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 102424, 18359, 103405, 35495, 101139, 120867, 102678, 105204, 73653, 101703, 105115, 18359, 36609, 36811, 11, 123651, 18359, 127272, 101817, 20565, 48918, 106103, 96451, 115602, 108499, 35495, 55925, 101817, 20565, 116831, 101817, 51440, 33390, 91586, 25941, 104249, 51440, 30446, 20565, 55170, 106869, 104303, 101015, 21028, 87097, 101868, 18359, 107779, 104128, 102893, 98243, 21121, 106117, 113743, 101954, 108137, 627, 115253, 106064, 106149, 35495, 121250, 125301, 105411, 35495, 103386, 112722, 119, 24486, 104423, 13094, 112045, 112, 101886, 21028, 103504, 18359, 103185, 122487, 26799, 123441, 127797, 103185, 103211, 11, 106460, 107054, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 44966, 102835, 18359, 105689, 104381, 230, 119030, 101438, 101203, 110110, 118135, 82273, 108683, 21028, 106301, 45780, 90279, 120045, 108466, 33177, 112285, 13094, 102058, 101103, 121947, 11, 80402, 229, 34804, 118236, 110311, 104554, 19954, 113295, 101974, 22035, 103213, 103338, 55925, 106687, 104519, 234, 101103, 74618, 102837, 107506, 102244, 101412, 101193, 16582, 109743, 61816, 49085, 11, 24839, 231, 36092, 115, 18359, 102783, 247, 106103, 106243, 105718, 103521, 113298, 627, 121775, 116971, 108742, 13447, 103272, 127797, 101413, 250, 102457, 94, 112373, 122782, 17196, 116, 41381, 127038, 109, 44005, 105512, 116548, 20565, 11, 117699, 101139, 127390, 86351, 120903, 101429, 34, 932, 19, 39, 17416, 62, 2839, 113825, 35495, 109581, 90759, 11, 101787, 26799, 19954, 36609, 73653, 101709, 118457, 54059, 120059, 96717, 101193, 13094, 125921, 39250, 18359, 105069, 100904, 11, 110473, 106673, 109126, 16969, 117699, 103894, 88525, 112269, 11, 111516, 41381, 17835, 118135, 74177, 100551, 13094, 75086, 27796, 107022, 100981, 18918, 105365, 100027, 117699, 105613, 24486, 116492, 34804, 104231, 100904, 627, 24486, 113825, 18359, 121856, 106872, 102077, 57519, 117216, 84696, 22035, 112269, 11, 49508, 101154, 107988, 127992, 101327, 39519, 226, 24486, 125209, 22035, 109957, 109882, 21028, 101228, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 124146, 36609, 108185, 63199, 120, 13447, 11, 108289, 124933, 101968, 105880, 106958, 125603, 112573, 104414, 110080, 54780, 126964, 18918, 100994, 101314, 61938, 11, 72115, 101563, 254, 29726, 36609, 21028, 49508, 64254, 109659, 35495, 106248, 102757, 103684, 84618, 32428, 11, 102678, 101817, 20565, 83719, 100711, 108047, 19954, 105510, 102837, 55925, 123637, 18359, 627, 83290, 96717, 101193, 34804, 122041, 89881, 21028, 62060, 20565, 17835, 107036, 105701, 120500, 54059, 102823, 21121, 94821, 101528, 11, 107340, 126963, 33931, 103292, 84136, 11, 84656, 106869, 114528, 49085, 118957, 37155, 39, 717, 12, 25717, 12, 15322, 125611, 120423, 114658, 109581, 82068, 13094, 103405, 102745, 18359, 49011, 241, 105940, 234, 123403, 13447, 11, 62398, 85721, 39250, 32179, 113110, 54542, 11, 102888, 101347, 13094, 104423, 20565, 105316, 43139, 63171, 111673, 107758, 19954, 62060, 35495, 123495, 65950, 100904, 11, 55000, 58126, 74618, 112887, 106237, 101528, 101203, 28867, 96, 106138, 29102, 104685, 54542, 55430, 21121, 108733, 11, 23955, 123637, 109997, 109882, 34804, 126962, 103123, 101353, 88525, 104352, 101528, 627, 103168, 63375, 21028, 125718, 11, 125274, 104690, 21028, 92143, 103655, 11, 123715, 11, 74618, 107988, 116231, 101, 103897, 105, 101852, 93292, 82776, 11, 5251, 121, 222, 167, 121, 222, 101264, 35495, 105642, 101429, 105771, 11, 37155, 41381, 20565, 74618, 27796, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 27796, 101264, 102621, 112804, 101003, 101090, 34804, 37155, 41381, 18918, 109849, 122782, 102678, 32179, 64432, 109816, 16969, 101585, 55430, 18918, 103659, 103889, 49508, 109945, 18918, 74618, 116726, 11, 82818, 114564, 102913, 20565, 103236, 30446, 105454, 18918, 104423, 20565, 105316, 43139, 101497, 94, 113278, 106467, 101203, 108537, 13, 24486, 101968, 34804, 109296, 104423, 102424, 102244, 106083, 109882, 18359, 50467, 56773, 35495, 119247, 36811, 627, 35495, 112070, 18918, 120362, 16582, 101954, 105605, 49085, 113857, 16969, 120099, 100711, 108185, 108907, 11, 101327, 111138, 29102, 117264, 84656, 34804, 101480, 93917, 101868, 49508, 80104, 102424, 34, 932, 19, 39, 17416, 62, 2839, 114886, 70482, 246, 104236, 108428, 73653, 117723, 35495, 109077, 58901, 36811, 11, 23955, 121408, 109720, 102066, 101760, 91040, 49508, 101154, 106313, 102612, 18359, 119646, 101012, 250, 108715, 16969, 103521, 100933, 11, 102681, 57390, 109842, 18359, 113424, 54542, 102407, 34804, 116492, 103292, 11, 104685, 54542, 55430, 110534, 5251, 255, 96, 101360, 11, 123978, 103055, 41953, 19954, 127643, 103373, 105954, 5380, 109516, 96270, 112098, 101264, 105870, 11, 110473, 75908, 32179, 73653, 13094, 57519, 64189, 16969, 104231, 100904, 11, 38164, 120, 102735, 238, 102735, 238, 67236, 33177, 49085, 126530, 126372, 103373, 22035, 11, 356, 932, 19, 39, 17416, 62, 2839, 101687, 115666, 39250, 124986, 34804, 118213, 101709, 120099, 13447, 17835, 103430, 86513, 105, 73653, 24486, 106318, 77437, 34804, 119408, 42771, 113037, 104352, 101360, 106213, 56154, 57575, 117885, 22035, 21121, 84656, 168, 239, 97, 102563, 11, 121895, 33229, 96318, 65950, 110833, 29102, 123830, 73653, 96677, 30426, 35495, 112219, 105512, 101968, 80732, 16582, 84136, 11, 102888, 57139, 114500, 67236, 21121, 114038, 55000, 112953, 105512, 127553, 627, 121509, 101429, 125879, 104508, 17835, 124301, 105220, 33177, 113375, 230, 115242, 11, 102888, 57002, 13094, 106744, 38295, 63718, 20565, 110979, 36439, 34609, 30426, 101103, 61415, 11, 122499, 17835, 50, 2599, 36542, 11050, 33468, 482, 37321, 12557, 2956, 15161, 33410, 55430, 34804, 13094, 66610, 101347, 71023, 17835, 65621, 113052, 112767, 18359, 116023, 102611, 13447, 529, 16969, 45618, 102039, 111652, 49085, 108499, 35495, 91811, 255, 112003, 49085, 113254, 117512, 16969, 113052, 107675, 11, 109666, 104911, 13094, 100570, 246, 102893, 80402, 113, 105940, 234, 102423, 121279, 124146, 107506, 18918, 102786, 123403, 13447, 627, 109317, 105870, 113792, 11, 103521, 41381, 20565, 107573, 13094, 105551, 19954, 113470, 18359, 104350, 103889, 59134, 50643, 18918, 107758, 43139, 103153, 122509, 13447, 11, 107536, 110671, 18359, 55216, 20701, 227, 63638, 12, 18968, 125611, 124435, 112573, 118841, 121213, 109581, 30426, 13447, 11, 57519, 16582, 11, 55925, 73653, 102058, 101103, 64432, 30426, 35495, 107758, 18359, 64432, 30426, 127553, 11, 101429, 104834, 48936, 29833, 108838, 101264, 17835, 11, 63199, 108, 61415, 21028, 123637, 13094, 111459, 107762, 102077, 11, 55925, 115093, 49531, 13094, 75086, 120916, 49531, 113781, 105701, 116247, 101532, 102423, 107746, 116135, 13094, 58952, 100711, 105365, 104683, 112813, 67890, 100904, 627, 63375, 65895, 63375, 65895, 122358, 41381, 122041, 73653, 67236, 119443, 35495, 65621, 112045, 250, 34804, 104193, 101482, 103292, 49085, 123323, 18359, 116332, 18359, 72208, 73653, 105718, 49508, 108185, 24486, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 102335, 21121, 102249, 13094, 114528, 101103, 125301, 107387, 109024, 110833, 35495, 104816, 11, 50467, 102662, 102893, 125906, 253, 54059, 96318, 16969, 75086, 80732, 13094, 102407, 105543, 35495, 11, 123637, 48555, 250, 124775, 13094, 112045, 250, 21028, 36609, 120534, 19954, 115382, 168, 235, 102, 96270, 21121, 101203, 108533, 61394, 111340, 11, 105695, 84656, 104128, 13094, 126515, 55216, 80816, 74618, 110632, 96102, 120755, 627, 104508, 18359, 49208, 230, 122432, 101834, 86351, 13094, 56773, 121255, 114933, 61394, 103850, 117653, 11, 33229, 26799, 102244, 103738, 29102, 33390, 113498, 55216, 80816, 33177, 101154, 11, 108742, 13447, 103272, 104423, 13094, 62398, 105678, 34, 932, 19, 39, 17416, 62, 2839, 109762, 108507, 25941, 96451, 114658, 112942, 32179, 123849, 18918, 50467, 101012, 106, 35495, 49085, 102484, 18359, 111297, 102563, 11, 119885, 102436, 101709, 123723, 106460, 102937, 105870, 11, 117699, 109849, 101480, 30426, 67525, 108733, 11, 123830, 62398, 109287, 104685, 102581, 104423, 19954, 3396, 119611, 35495, 74618, 81673, 27796, 107340, 16582, 56154, 55430, 29833, 167, 127802, 64189, 18918, 3396, 119611, 105316, 101563, 112, 105316, 44005, 113952, 18359, 104414, 103718, 13094, 116548, 20565, 627, 118009, 118009, 102678, 102326, 109065, 16582, 58368, 11, 101480, 114333, 127643, 35495, 11, 62398, 113825, 18359, 65677, 29102, 34, 56606, 12, 4119, 167, 101445, 34804, 102681, 54780, 106304, 112573, 109581, 19954, 118457, 34804, 102464, 87472, 102039, 13094, 115968, 107802, 106064, 8790, 122, 117, 166, 122, 117, 102526, 234, 123403, 13447, 11, 23955, 102611, 34804, 118859, 112106, 13094, 107762, 101954, 123723, 111519, 108807, 39519, 112039, 11, 109250, 30027, 104, 34804, 100933, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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 ]
1,606
[ 128000, 10828, 17, 12, 9367, 16, 198, 11649, 22015, 22520, 23597, 26, 9405, 520, 11717, 268, 7826, 21825, 13, 3005, 4036, 1077, 18273, 6873, 505, 98985, 4021, 72, 323, 1176, 2834, 2450, 520, 3341, 94509, 2391, 279, 1667, 220, 10750, 24, 311, 220, 10336, 21, 13, 3005, 1243, 4024, 311, 47387, 11, 1405, 1364, 29340, 3156, 220, 9741, 16, 11, 1694, 520, 430, 892, 27292, 1606, 1364, 14771, 291, 311, 7936, 520, 264, 21497, 2728, 369, 279, 8935, 315, 279, 57869, 991, 71336, 304, 7295, 13, 4740, 10374, 3892, 1667, 304, 2225, 9635, 323, 5270, 11, 1364, 22311, 505, 279, 6566, 304, 220, 9741, 22, 13, 3005, 1047, 1027, 12502, 520, 47387, 11, 719, 574, 50592, 304, 220, 9674, 19, 13, 3005, 8636, 389, 1077, 12675, 520, 20704, 35638, 11, 3221, 52245, 69031, 331, 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 ]
[ 128000, 10828, 17, 12, 9367, 16, 198, 11649, 22015, 22520, 23597, 26, 9405, 520, 11717, 268, 7826, 21825, 13, 3005, 4036, 1077, 18273, 6873, 505, 98985, 4021, 72, 323, 1176, 2834, 2450, 520, 3341, 94509, 2391, 279, 1667, 220, 10750, 24, 311, 220, 10336, 21, 13, 3005, 1243, 4024, 311, 47387, 11, 1405, 1364, 29340, 3156, 220, 9741, 16, 11, 1694, 520, 430, 892, 27292, 1606, 1364, 14771, 291, 311, 7936, 520, 264, 21497, 2728, 369, 279, 8935, 315, 279, 57869, 991, 71336, 304, 7295, 13, 4740, 10374, 3892, 1667, 304, 2225, 9635, 323, 5270, 11, 1364, 22311, 505, 279, 6566, 304, 220, 9741, 22, 13, 3005, 1047, 1027, 12502, 520, 47387, 11, 719, 574, 50592, 304, 220, 9674, 19, 13, 3005, 8636, 389, 1077, 12675, 520, 20704, 35638, 11, 3221, 52245, 69031, 331, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135 ]
136
[ 128000, 40672, 11, 4723, 220, 806, 320, 36, 11673, 570, 12, 25715, 16396, 374, 369, 6412, 11, 477, 520, 3325, 264, 961, 315, 433, 374, 13, 362, 80149, 15068, 54135, 5784, 430, 43669, 24031, 279, 4442, 430, 617, 4529, 2035, 304, 279, 20210, 9130, 304, 3293, 1667, 1389, 8104, 304, 3878, 315, 15637, 1389, 323, 430, 1436, 1518, 279, 907, 315, 279, 1556, 2630, 6469, 26438, 311, 927, 220, 19, 7239, 16701, 627, 87406, 11, 279, 1566, 3682, 6498, 6469, 311, 2349, 6206, 11, 574, 6216, 369, 220, 19, 13, 914, 7239, 16701, 1746, 20, 13, 17, 7239, 8, 311, 2326, 13892, 73335, 30534, 70297, 398, 13, 578, 87283, 12678, 5938, 449, 4401, 279, 5784, 11, 3871, 449, 279, 6650, 315, 7411, 4994, 279, 3451, 16010, 19198, 20182, 279, 94189, 315, 279, 31123, 323, 279, 10051, 323, 18036, 315, 264, 2447, 430, 374, 1457, 810, 1109, 264, 13515, 2362, 11, 706, 6197, 45406, 3195, 13482, 5856, 311, 2980, 11486, 25715, 627, 95813, 279, 6469, 706, 17033, 311, 387, 9193, 34235, 369, 435, 7939, 11, 902, 1101, 8640, 279, 10406, 3816, 39645, 304, 17559, 9130, 38258, 11, 706, 45525, 304, 279, 5165, 41342, 9130, 753, 28627, 75944, 323, 11835, 5370, 3772, 28183, 627, 37, 7939, 11021, 25715, 304, 220, 679, 15, 369, 1120, 7083, 3101, 3610, 11, 90177, 7863, 311, 279, 7729, 1457, 1694, 54757, 369, 459, 9513, 430, 706, 8813, 2380, 315, 279, 1566, 4330, 29908, 9130, 41402, 1389, 11230, 832, 1389, 323, 2834, 1202, 1176, 20210, 9130, 304, 220, 966, 1667, 11, 439, 1664, 439, 19261, 1403, 13018, 10747, 41402, 1566, 3280, 627, 3923, 706, 15753, 435, 7939, 311, 4662, 11, 422, 2626, 374, 420, 1695, 30, 578, 36218, 3938, 13, 578, 55908, 527, 7314, 311, 1518, 7411, 304, 279, 14981, 23318, 18327, 430, 1051, 539, 304, 279, 6787, 439, 35938, 627, 3648, 36208, 3723, 11, 1457, 279, 57471, 6469, 304, 279, 1917, 2533, 18387, 23931, 11021, 433, 1566, 3280, 11, 374, 2736, 11039, 369, 279, 29908, 9130, 7634, 13, 763, 264, 10966, 449, 520, 3325, 8254, 11426, 369, 3116, 7634, 11, 1694, 2163, 704, 315, 279, 1948, 58636, 10937, 374, 459, 7100, 12523, 430, 48926, 25715, 439, 433, 706, 33102, 304, 279, 3347, 320, 53770, 1667, 2085, 19261, 279, 29908, 9130, 8, 323, 19922, 3723, 11, 902, 374, 1578, 5737, 304, 279, 39600, 9130, 420, 1060, 627, 791, 27924, 315, 9298, 30466, 18174, 422, 279, 36027, 5178, 39436, 988, 374, 832, 315, 279, 8125, 11, 719, 1070, 527, 810, 13, 25715, 753, 1925, 21425, 304, 279, 1566, 4330, 1667, 11, 19922, 4409, 11, 706, 459, 87283, 7100, 9610, 627, 10156, 420, 2046, 11, 814, 7376, 3335, 30466, 315, 220, 22922, 3610, 16701, 11, 6020, 16124, 430, 374, 5882, 291, 389, 279, 9846, 449, 99656, 1778, 439, 81934, 287, 14433, 15697, 1566, 7474, 627, 791, 1401, 311, 19994, 15022, 8994, 279, 6020, 49836, 7863, 311, 4409, 323, 3723, 706, 47253, 304, 559, 4361, 67, 34102, 323, 279, 83580, 315, 6783, 22410, 2431, 268, 94931, 11, 719, 430, 5614, 449, 279, 25959, 315, 8096, 37863, 420, 7474, 13, 578, 1457, 4846, 36027, 7690, 315, 279, 55908, 1047, 1027, 304, 6900, 315, 68704, 99656, 2533, 220, 679, 21, 1389, 32367, 279, 49017, 315, 279, 94931, 11639, 13, 5414, 25959, 1193, 11621, 27924, 311, 279, 3938, 627, 3947, 374, 1101, 279, 94189, 315, 279, 31123, 11, 902, 3727, 7362, 9341, 810, 19411, 13, 578, 2802, 311, 1935, 927, 25715, 690, 2586, 14918, 505, 279, 3723, 4273, 11, 902, 2736, 9815, 369, 810, 1109, 4376, 315, 682, 20210, 9130, 7980, 627, 15546, 2099, 50631, 25715, 374, 459, 3062, 36027, 4360, 2288, 11, 1606, 94931, 690, 539, 387, 10032, 311, 2187, 1120, 904, 17942, 311, 2586, 304, 323, 1629, 813, 6469, 13, 3277, 18387, 23931, 11021, 44226, 11, 94931, 574, 832, 315, 279, 1176, 311, 3488, 1202, 3823, 3268, 3335, 13, 1102, 5084, 11866, 43736, 430, 279, 6063, 1053, 990, 1234, 904, 6506, 627, 14364, 315, 435, 7939, 753, 8125, 374, 279, 4745, 7445, 9130, 13, 578, 1912, 574, 832, 315, 279, 10043, 8603, 4920, 279, 2447, 994, 433, 11784, 25715, 4315, 279, 4848, 6498, 19424, 49500, 369, 279, 10937, 753, 48727, 13, 3842, 18063, 11, 279, 6469, 753, 6506, 11, 1047, 311, 37979, 323, 100021, 389, 279, 14050, 2768, 279, 19428, 48156, 505, 7359, 323, 4311, 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 ]
[ 128000, 40672, 11, 4723, 220, 806, 320, 36, 11673, 570, 12, 25715, 16396, 374, 369, 6412, 11, 477, 520, 3325, 264, 961, 315, 433, 374, 13, 362, 80149, 15068, 54135, 5784, 430, 43669, 24031, 279, 4442, 430, 617, 4529, 2035, 304, 279, 20210, 9130, 304, 3293, 1667, 1389, 8104, 304, 3878, 315, 15637, 1389, 323, 430, 1436, 1518, 279, 907, 315, 279, 1556, 2630, 6469, 26438, 311, 927, 220, 19, 7239, 16701, 627, 87406, 11, 279, 1566, 3682, 6498, 6469, 311, 2349, 6206, 11, 574, 6216, 369, 220, 19, 13, 914, 7239, 16701, 1746, 20, 13, 17, 7239, 8, 311, 2326, 13892, 73335, 30534, 70297, 398, 13, 578, 87283, 12678, 5938, 449, 4401, 279, 5784, 11, 3871, 449, 279, 6650, 315, 7411, 4994, 279, 3451, 16010, 19198, 20182, 279, 94189, 315, 279, 31123, 323, 279, 10051, 323, 18036, 315, 264, 2447, 430, 374, 1457, 810, 1109, 264, 13515, 2362, 11, 706, 6197, 45406, 3195, 13482, 5856, 311, 2980, 11486, 25715, 627, 95813, 279, 6469, 706, 17033, 311, 387, 9193, 34235, 369, 435, 7939, 11, 902, 1101, 8640, 279, 10406, 3816, 39645, 304, 17559, 9130, 38258, 11, 706, 45525, 304, 279, 5165, 41342, 9130, 753, 28627, 75944, 323, 11835, 5370, 3772, 28183, 627, 37, 7939, 11021, 25715, 304, 220, 679, 15, 369, 1120, 7083, 3101, 3610, 11, 90177, 7863, 311, 279, 7729, 1457, 1694, 54757, 369, 459, 9513, 430, 706, 8813, 2380, 315, 279, 1566, 4330, 29908, 9130, 41402, 1389, 11230, 832, 1389, 323, 2834, 1202, 1176, 20210, 9130, 304, 220, 966, 1667, 11, 439, 1664, 439, 19261, 1403, 13018, 10747, 41402, 1566, 3280, 627, 3923, 706, 15753, 435, 7939, 311, 4662, 11, 422, 2626, 374, 420, 1695, 30, 578, 36218, 3938, 13, 578, 55908, 527, 7314, 311, 1518, 7411, 304, 279, 14981, 23318, 18327, 430, 1051, 539, 304, 279, 6787, 439, 35938, 627, 3648, 36208, 3723, 11, 1457, 279, 57471, 6469, 304, 279, 1917, 2533, 18387, 23931, 11021, 433, 1566, 3280, 11, 374, 2736, 11039, 369, 279, 29908, 9130, 7634, 13, 763, 264, 10966, 449, 520, 3325, 8254, 11426, 369, 3116, 7634, 11, 1694, 2163, 704, 315, 279, 1948, 58636, 10937, 374, 459, 7100, 12523, 430, 48926, 25715, 439, 433, 706, 33102, 304, 279, 3347, 320, 53770, 1667, 2085, 19261, 279, 29908, 9130, 8, 323, 19922, 3723, 11, 902, 374, 1578, 5737, 304, 279, 39600, 9130, 420, 1060, 627, 791, 27924, 315, 9298, 30466, 18174, 422, 279, 36027, 5178, 39436, 988, 374, 832, 315, 279, 8125, 11, 719, 1070, 527, 810, 13, 25715, 753, 1925, 21425, 304, 279, 1566, 4330, 1667, 11, 19922, 4409, 11, 706, 459, 87283, 7100, 9610, 627, 10156, 420, 2046, 11, 814, 7376, 3335, 30466, 315, 220, 22922, 3610, 16701, 11, 6020, 16124, 430, 374, 5882, 291, 389, 279, 9846, 449, 99656, 1778, 439, 81934, 287, 14433, 15697, 1566, 7474, 627, 791, 1401, 311, 19994, 15022, 8994, 279, 6020, 49836, 7863, 311, 4409, 323, 3723, 706, 47253, 304, 559, 4361, 67, 34102, 323, 279, 83580, 315, 6783, 22410, 2431, 268, 94931, 11, 719, 430, 5614, 449, 279, 25959, 315, 8096, 37863, 420, 7474, 13, 578, 1457, 4846, 36027, 7690, 315, 279, 55908, 1047, 1027, 304, 6900, 315, 68704, 99656, 2533, 220, 679, 21, 1389, 32367, 279, 49017, 315, 279, 94931, 11639, 13, 5414, 25959, 1193, 11621, 27924, 311, 279, 3938, 627, 3947, 374, 1101, 279, 94189, 315, 279, 31123, 11, 902, 3727, 7362, 9341, 810, 19411, 13, 578, 2802, 311, 1935, 927, 25715, 690, 2586, 14918, 505, 279, 3723, 4273, 11, 902, 2736, 9815, 369, 810, 1109, 4376, 315, 682, 20210, 9130, 7980, 627, 15546, 2099, 50631, 25715, 374, 459, 3062, 36027, 4360, 2288, 11, 1606, 94931, 690, 539, 387, 10032, 311, 2187, 1120, 904, 17942, 311, 2586, 304, 323, 1629, 813, 6469, 13, 3277, 18387, 23931, 11021, 44226, 11, 94931, 574, 832, 315, 279, 1176, 311, 3488, 1202, 3823, 3268, 3335, 13, 1102, 5084, 11866, 43736, 430, 279, 6063, 1053, 990, 1234, 904, 6506, 627, 14364, 315, 435, 7939, 753, 8125, 374, 279, 4745, 7445, 9130, 13, 578, 1912, 574, 832, 315, 279, 10043, 8603, 4920, 279, 2447, 994, 433, 11784, 25715, 4315, 279, 4848, 6498, 19424, 49500, 369, 279, 10937, 753, 48727, 13, 3842, 18063, 11, 279, 6469, 753, 6506, 11, 1047, 311, 37979, 323, 100021, 389, 279, 14050, 2768, 279, 19428, 48156, 505, 7359, 323, 4311, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 48852, 3345, 311, 16730, 315, 5075, 74416, 666, 9008, 323, 66102, 5848, 16730, 315, 666, 2473, 11, 25944, 14894, 5825, 264, 1949, 17954, 61886, 11, 264, 7463, 3002, 3703, 11, 323, 264, 52578, 13, 763, 5369, 311, 264, 11033, 8221, 81691, 1897, 323, 264, 13863, 11, 15051, 649, 4667, 311, 1949, 304, 48840, 34407, 627, 61935, 13148, 304, 23746, 269, 6729, 11, 420, 9689, 374, 220, 15, 13, 24, 9686, 320, 16, 13, 20, 13437, 8, 505, 23746, 269, 6729, 76400, 64, 323, 2949, 220, 18, 9686, 320, 20, 13437, 8, 315, 16730, 315, 5075, 74416, 666, 9008, 323, 66102, 5848, 16730, 315, 666, 2473, 13, 29549, 2850, 13011, 323, 38050, 666, 9008, 527, 1101, 2949, 220, 21, 9686, 320, 605, 13437, 4390, 34311, 1070, 574, 8056, 4999, 26840, 1695, 323, 539, 3117, 505, 17149, 627, 791, 3130, 584, 1047, 574, 6908, 449, 264, 2033, 323, 264, 3254, 4950, 13, 578, 92053, 1051, 1633, 2653, 3582, 13, 578, 17954, 61886, 574, 539, 279, 1888, 358, 1047, 13, 578, 6783, 574, 5066, 11190, 994, 584, 4460, 1520, 477, 1047, 4860, 13, 578, 7463, 3158, 7111, 2294, 719, 433, 574, 2288, 94021, 311, 1005, 11, 719, 539, 279, 9689, 753, 14867, 13, 91416, 76460, 222, 3221, 264, 5951, 3009, 311, 435, 9008, 477, 311, 733, 311, 52650, 477, 17149, 627, 1687, 34070, 264, 3130, 449, 832, 2033, 4950, 320, 7574, 398, 16717, 389, 1057, 22615, 304, 7943, 4596, 8, 323, 1193, 2751, 264, 28497, 4950, 3130, 13, 578, 9689, 1550, 539, 32113, 603, 304, 12178, 315, 279, 91457, 323, 16436, 311, 3085, 603, 904, 3169, 315, 20448, 13, 1115, 574, 1633, 39223, 662, 578, 13120, 27608, 3995, 23991, 3828, 574, 1633, 6555, 11, 1364, 11497, 311, 603, 1268, 311, 1935, 279, 5951, 505, 279, 9689, 323, 19089, 682, 1057, 1023, 4860, 79261, 13, 4452, 11, 279, 9191, 27117, 23991, 17240, 574, 539, 439, 6555, 13, 3005, 1053, 2019, 1695, 6693, 311, 682, 1023, 15051, 3734, 757, 320, 40, 4344, 14875, 8, 4696, 1101, 11, 994, 856, 26923, 320, 19171, 14875, 8, 4024, 311, 1077, 311, 2363, 459, 96436, 11, 1364, 4691, 311, 1518, 813, 12050, 5842, 323, 8774, 5605, 25, 5734, 30, 5734, 30, 7570, 3582, 813, 12050, 5842, 9539, 13519, 7008, 13, 6385, 7865, 574, 3169, 315, 47101, 323, 89614, 25185, 13, 2209, 433, 430, 2653, 311, 4510, 430, 7008, 706, 75408, 30, 3005, 1101, 3287, 1431, 1390, 311, 39580, 603, 11573, 53984, 520, 1176, 1981, 5605, 433, 374, 369, 279, 9689, 7463, 1193, 1981, 1524, 3582, 682, 1023, 18341, 25325, 1047, 912, 3575, 449, 430, 627, 43, 5047, 1057, 4822, 520, 279, 25944, 14894, 0, 58038, 17954, 323, 279, 5687, 1051, 8056, 11, 779, 11919, 323, 77141, 13, 1102, 596, 3345, 311, 74056, 19160, 20021, 323, 5951, 18417, 422, 499, 10932, 586, 7710, 304, 23746, 269, 6729, 13, 19418, 8659, 4822, 1618, 1578, 627, 5159, 10177, 323, 358, 2216, 14333, 1057, 4822, 520, 279, 25944, 14894, 13, 578, 17954, 374, 14964, 25, 19335, 11, 41452, 59986, 11, 3090, 72218, 11, 26828, 67, 365, 11, 18341, 55575, 11, 41613, 11, 75391, 372, 1941, 11, 14425, 1056, 1821, 11, 9575, 587, 454, 6388, 11, 28091, 1147, 11, 19087, 23661, 11, 9439, 15455, 11, 24149, 282, 1018, 5153, 11, 23211, 11, 323, 18878, 6985, 14425, 1056, 1821, 13, 24711, 1341, 43752, 0, 2684, 753, 1101, 264, 11364, 52578, 4994, 311, 8343, 13, 578, 64919, 520, 420, 9689, 1101, 35938, 279, 7160, 5022, 304, 435, 9008, 323, 507, 689, 0, 578, 3090, 7410, 304, 279, 3130, 374, 2216, 2294, 13, 578, 28036, 527, 2653, 11, 719, 358, 46498, 2216, 1664, 1418, 584, 1051, 1070, 11, 779, 358, 574, 10882, 13, 578, 5687, 1051, 779, 3169, 323, 11190, 13, 2435, 9087, 603, 449, 264, 22239, 505, 279, 17149, 320, 1225, 17049, 3072, 90957, 705, 323, 12738, 8415, 15924, 276, 31551, 11, 323, 264, 1841, 19160, 13, 1226, 1101, 1047, 264, 1633, 4216, 6693, 52650, 11, 323, 814, 1903, 439, 264, 17954, 323, 11033, 520, 2212, 220, 20, 1097, 1981, 4345, 3485, 323, 7953, 0, 36684, 10649, 374, 1101, 264, 2216, 7155, 6424, 13, 2684, 527, 2294, 15926, 323, 5951, 2532, 311, 264, 1396, 315, 10687, 11, 779, 433, 753, 17125, 13, 12623, 11, 279, 30687, 3637, 4028, 279, 8761, 706, 45974, 57764, 0, 1226, 3207, 779, 6380, 584, 14896, 279, 25944, 14894, 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 ]
[ 128000, 48852, 3345, 311, 16730, 315, 5075, 74416, 666, 9008, 323, 66102, 5848, 16730, 315, 666, 2473, 11, 25944, 14894, 5825, 264, 1949, 17954, 61886, 11, 264, 7463, 3002, 3703, 11, 323, 264, 52578, 13, 763, 5369, 311, 264, 11033, 8221, 81691, 1897, 323, 264, 13863, 11, 15051, 649, 4667, 311, 1949, 304, 48840, 34407, 627, 61935, 13148, 304, 23746, 269, 6729, 11, 420, 9689, 374, 220, 15, 13, 24, 9686, 320, 16, 13, 20, 13437, 8, 505, 23746, 269, 6729, 76400, 64, 323, 2949, 220, 18, 9686, 320, 20, 13437, 8, 315, 16730, 315, 5075, 74416, 666, 9008, 323, 66102, 5848, 16730, 315, 666, 2473, 13, 29549, 2850, 13011, 323, 38050, 666, 9008, 527, 1101, 2949, 220, 21, 9686, 320, 605, 13437, 4390, 34311, 1070, 574, 8056, 4999, 26840, 1695, 323, 539, 3117, 505, 17149, 627, 791, 3130, 584, 1047, 574, 6908, 449, 264, 2033, 323, 264, 3254, 4950, 13, 578, 92053, 1051, 1633, 2653, 3582, 13, 578, 17954, 61886, 574, 539, 279, 1888, 358, 1047, 13, 578, 6783, 574, 5066, 11190, 994, 584, 4460, 1520, 477, 1047, 4860, 13, 578, 7463, 3158, 7111, 2294, 719, 433, 574, 2288, 94021, 311, 1005, 11, 719, 539, 279, 9689, 753, 14867, 13, 91416, 76460, 222, 3221, 264, 5951, 3009, 311, 435, 9008, 477, 311, 733, 311, 52650, 477, 17149, 627, 1687, 34070, 264, 3130, 449, 832, 2033, 4950, 320, 7574, 398, 16717, 389, 1057, 22615, 304, 7943, 4596, 8, 323, 1193, 2751, 264, 28497, 4950, 3130, 13, 578, 9689, 1550, 539, 32113, 603, 304, 12178, 315, 279, 91457, 323, 16436, 311, 3085, 603, 904, 3169, 315, 20448, 13, 1115, 574, 1633, 39223, 662, 578, 13120, 27608, 3995, 23991, 3828, 574, 1633, 6555, 11, 1364, 11497, 311, 603, 1268, 311, 1935, 279, 5951, 505, 279, 9689, 323, 19089, 682, 1057, 1023, 4860, 79261, 13, 4452, 11, 279, 9191, 27117, 23991, 17240, 574, 539, 439, 6555, 13, 3005, 1053, 2019, 1695, 6693, 311, 682, 1023, 15051, 3734, 757, 320, 40, 4344, 14875, 8, 4696, 1101, 11, 994, 856, 26923, 320, 19171, 14875, 8, 4024, 311, 1077, 311, 2363, 459, 96436, 11, 1364, 4691, 311, 1518, 813, 12050, 5842, 323, 8774, 5605, 25, 5734, 30, 5734, 30, 7570, 3582, 813, 12050, 5842, 9539, 13519, 7008, 13, 6385, 7865, 574, 3169, 315, 47101, 323, 89614, 25185, 13, 2209, 433, 430, 2653, 311, 4510, 430, 7008, 706, 75408, 30, 3005, 1101, 3287, 1431, 1390, 311, 39580, 603, 11573, 53984, 520, 1176, 1981, 5605, 433, 374, 369, 279, 9689, 7463, 1193, 1981, 1524, 3582, 682, 1023, 18341, 25325, 1047, 912, 3575, 449, 430, 627, 43, 5047, 1057, 4822, 520, 279, 25944, 14894, 0, 58038, 17954, 323, 279, 5687, 1051, 8056, 11, 779, 11919, 323, 77141, 13, 1102, 596, 3345, 311, 74056, 19160, 20021, 323, 5951, 18417, 422, 499, 10932, 586, 7710, 304, 23746, 269, 6729, 13, 19418, 8659, 4822, 1618, 1578, 627, 5159, 10177, 323, 358, 2216, 14333, 1057, 4822, 520, 279, 25944, 14894, 13, 578, 17954, 374, 14964, 25, 19335, 11, 41452, 59986, 11, 3090, 72218, 11, 26828, 67, 365, 11, 18341, 55575, 11, 41613, 11, 75391, 372, 1941, 11, 14425, 1056, 1821, 11, 9575, 587, 454, 6388, 11, 28091, 1147, 11, 19087, 23661, 11, 9439, 15455, 11, 24149, 282, 1018, 5153, 11, 23211, 11, 323, 18878, 6985, 14425, 1056, 1821, 13, 24711, 1341, 43752, 0, 2684, 753, 1101, 264, 11364, 52578, 4994, 311, 8343, 13, 578, 64919, 520, 420, 9689, 1101, 35938, 279, 7160, 5022, 304, 435, 9008, 323, 507, 689, 0, 578, 3090, 7410, 304, 279, 3130, 374, 2216, 2294, 13, 578, 28036, 527, 2653, 11, 719, 358, 46498, 2216, 1664, 1418, 584, 1051, 1070, 11, 779, 358, 574, 10882, 13, 578, 5687, 1051, 779, 3169, 323, 11190, 13, 2435, 9087, 603, 449, 264, 22239, 505, 279, 17149, 320, 1225, 17049, 3072, 90957, 705, 323, 12738, 8415, 15924, 276, 31551, 11, 323, 264, 1841, 19160, 13, 1226, 1101, 1047, 264, 1633, 4216, 6693, 52650, 11, 323, 814, 1903, 439, 264, 17954, 323, 11033, 520, 2212, 220, 20, 1097, 1981, 4345, 3485, 323, 7953, 0, 36684, 10649, 374, 1101, 264, 2216, 7155, 6424, 13, 2684, 527, 2294, 15926, 323, 5951, 2532, 311, 264, 1396, 315, 10687, 11, 779, 433, 753, 17125, 13, 12623, 11, 279, 30687, 3637, 4028, 279, 8761, 706, 45974, 57764, 0, 1226, 3207, 779, 6380, 584, 14896, 279, 25944, 14894, 4999, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 84978, 706, 7543, 1077, 5897, 7076, 36666, 27512, 2383, 11, 1176, 439, 264, 3363, 36151, 323, 1243, 439, 264, 8431, 3363, 14065, 323, 4689, 5897, 16467, 369, 264, 1396, 315, 586, 15086, 13, 32532, 13777, 264, 7029, 1358, 315, 27512, 4819, 2737, 1825, 3109, 323, 586, 7576, 11, 84629, 8106, 11, 586, 53678, 323, 60506, 11, 4363, 1005, 11, 13543, 323, 4947, 59000, 11, 323, 4689, 9650, 323, 39725, 13, 32532, 374, 8104, 21901, 315, 9511, 323, 14740, 13146, 11, 1778, 439, 8405, 9650, 323, 4967, 311, 3823, 5070, 15749, 11, 11850, 14847, 311, 469, 6903, 34, 21859, 11, 323, 31474, 14740, 26969, 13, 113012, 3005, 1101, 15870, 11105, 23234, 304, 22498, 55309, 11, 2737, 2802, 323, 51013, 685, 54708, 323, 77673, 627, 644, 220, 679, 23, 11, 32532, 15609, 279, 4409, 315, 350, 3178, 86, 10746, 304, 84629, 8106, 29407, 311, 21953, 220, 1032, 8821, 6012, 311, 28696, 279, 8246, 315, 264, 502, 3142, 21785, 8221, 323, 264, 502, 12007, 5955, 311, 3838, 279, 4409, 753, 27512, 5590, 11, 4379, 8216, 11, 323, 13147, 7677, 4219, 13, 10541, 1521, 13146, 19543, 304, 5199, 43763, 439, 279, 1121, 315, 13770, 4628, 3892, 2678, 2626, 41016, 11, 279, 4409, 11, 6197, 555, 32532, 11, 7946, 51578, 20038, 449, 682, 41016, 323, 3424, 7980, 627, 50571, 311, 1080, 2269, 13900, 9671, 2298, 64, 7658, 5856, 11, 32532, 7543, 220, 605, 1667, 520, 264, 53185, 27512, 2383, 7626, 11, 1405, 1364, 15609, 586, 13607, 315, 682, 12562, 11, 505, 279, 7626, 753, 7928, 3016, 311, 1202, 25655, 627, 84978, 550, 3422, 11937, 389, 8405, 1077, 8403, 449, 5222, 11, 32100, 11, 323, 1523, 311, 9578, 5897, 9650, 323, 2532, 13, 763, 1077, 1949, 892, 11, 32532, 23872, 323, 37413, 388, 369, 3892, 10065, 13208, 1157, 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 ]
[ 128000, 84978, 706, 7543, 1077, 5897, 7076, 36666, 27512, 2383, 11, 1176, 439, 264, 3363, 36151, 323, 1243, 439, 264, 8431, 3363, 14065, 323, 4689, 5897, 16467, 369, 264, 1396, 315, 586, 15086, 13, 32532, 13777, 264, 7029, 1358, 315, 27512, 4819, 2737, 1825, 3109, 323, 586, 7576, 11, 84629, 8106, 11, 586, 53678, 323, 60506, 11, 4363, 1005, 11, 13543, 323, 4947, 59000, 11, 323, 4689, 9650, 323, 39725, 13, 32532, 374, 8104, 21901, 315, 9511, 323, 14740, 13146, 11, 1778, 439, 8405, 9650, 323, 4967, 311, 3823, 5070, 15749, 11, 11850, 14847, 311, 469, 6903, 34, 21859, 11, 323, 31474, 14740, 26969, 13, 113012, 3005, 1101, 15870, 11105, 23234, 304, 22498, 55309, 11, 2737, 2802, 323, 51013, 685, 54708, 323, 77673, 627, 644, 220, 679, 23, 11, 32532, 15609, 279, 4409, 315, 350, 3178, 86, 10746, 304, 84629, 8106, 29407, 311, 21953, 220, 1032, 8821, 6012, 311, 28696, 279, 8246, 315, 264, 502, 3142, 21785, 8221, 323, 264, 502, 12007, 5955, 311, 3838, 279, 4409, 753, 27512, 5590, 11, 4379, 8216, 11, 323, 13147, 7677, 4219, 13, 10541, 1521, 13146, 19543, 304, 5199, 43763, 439, 279, 1121, 315, 13770, 4628, 3892, 2678, 2626, 41016, 11, 279, 4409, 11, 6197, 555, 32532, 11, 7946, 51578, 20038, 449, 682, 41016, 323, 3424, 7980, 627, 50571, 311, 1080, 2269, 13900, 9671, 2298, 64, 7658, 5856, 11, 32532, 7543, 220, 605, 1667, 520, 264, 53185, 27512, 2383, 7626, 11, 1405, 1364, 15609, 586, 13607, 315, 682, 12562, 11, 505, 279, 7626, 753, 7928, 3016, 311, 1202, 25655, 627, 84978, 550, 3422, 11937, 389, 8405, 1077, 8403, 449, 5222, 11, 32100, 11, 323, 1523, 311, 9578, 5897, 9650, 323, 2532, 13, 763, 1077, 1949, 892, 11, 32532, 23872, 323, 37413, 388, 369, 3892, 10065, 13208, 1157, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 9688, 1885, 27738, 374, 459, 3229, 11, 40360, 11, 23672, 11, 39844, 323, 85757, 889, 6439, 389, 279, 24941, 64, 66495, 304, 279, 10007, 38702, 315, 14990, 11, 323, 813, 5652, 2363, 11, 362, 18989, 728, 315, 53718, 11, 374, 264, 4526, 315, 2875, 7493, 323, 32349, 627, 791, 7493, 11, 743, 304, 14990, 11, 5270, 323, 9635, 11, 4321, 1990, 24800, 315, 11204, 11, 23347, 323, 21849, 11, 1418, 459, 19428, 6727, 315, 61802, 34558, 45319, 11, 12365, 3629, 315, 3021, 11, 11939, 11, 79422, 323, 56752, 11, 27053, 1057, 93222, 719, 47361, 2035, 304, 279, 15861, 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 ]
[ 128000, 9688, 1885, 27738, 374, 459, 3229, 11, 40360, 11, 23672, 11, 39844, 323, 85757, 889, 6439, 389, 279, 24941, 64, 66495, 304, 279, 10007, 38702, 315, 14990, 11, 323, 813, 5652, 2363, 11, 362, 18989, 728, 315, 53718, 11, 374, 264, 4526, 315, 2875, 7493, 323, 32349, 627, 791, 7493, 11, 743, 304, 14990, 11, 5270, 323, 9635, 11, 4321, 1990, 24800, 315, 11204, 11, 23347, 323, 21849, 11, 1418, 459, 19428, 6727, 315, 61802, 34558, 45319, 11, 12365, 3629, 315, 3021, 11, 11939, 11, 79422, 323, 56752, 11, 27053, 1057, 93222, 719, 47361, 2035, 304, 279, 15861, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100 ]
101
[ 128000, 791, 16907, 4648, 315, 264, 8690, 47794, 88231, 29071, 869, 1253, 1054, 2739, 258, 279, 1162, 863, 2403, 279, 735, 13075, 2201, 88, 1590, 74, 47378, 96664, 5849, 3296, 52767, 627, 2127, 7185, 2373, 35271, 1403, 15234, 323, 1579, 25171, 4455, 315, 279, 1566, 2919, 482, 279, 8163, 315, 279, 11495, 735, 13075, 2201, 88, 1590, 74, 47378, 96664, 5849, 3296, 52767, 323, 279, 26454, 4648, 315, 264, 47794, 88231, 29071, 869, 574, 2231, 4741, 555, 279, 5526, 40281, 8683, 20568, 469, 5746, 869, 627, 1548, 19813, 311, 264, 5224, 505, 459, 22939, 2592, 304, 279, 8990, 430, 29071, 869, 574, 10171, 311, 387, 264, 11550, 2403, 96664, 5849, 3296, 52767, 11, 719, 4762, 14896, 311, 6230, 5678, 1606, 568, 574, 330, 83, 2757, 315, 18208, 10246, 2127, 3072, 374, 539, 21989, 704, 11, 4184, 311, 469, 5746, 869, 11, 430, 29071, 869, 574, 5042, 7577, 1306, 6975, 430, 3296, 52767, 753, 8163, 574, 1694, 10235, 13, 1628, 1521, 1403, 5885, 617, 1027, 11537, 449, 1855, 1023, 2533, 279, 220, 2550, 15, 82, 627, 13461, 304, 1884, 1667, 11, 4184, 311, 26453, 11, 1054, 64, 220, 1419, 4771, 6418, 4562, 315, 279, 9337, 1912, 11, 20643, 13106, 372, 869, 11, 1047, 264, 12324, 449, 96664, 5849, 3296, 52767, 927, 279, 52583, 11, 304, 279, 9647, 315, 279, 1176, 11, 8141, 315, 8070, 505, 10496, 7640, 2029, 1628, 433, 5084, 430, 3296, 52767, 11, 3515, 6773, 430, 13106, 372, 869, 6944, 311, 5622, 1461, 11, 42075, 264, 3738, 88245, 1466, 52767, 311, 31335, 279, 10102, 315, 13106, 372, 869, 627, 3112, 304, 220, 2550, 20, 11, 420, 88245, 1466, 52767, 5678, 11713, 3892, 49417, 13865, 11, 2737, 2403, 88231, 29071, 869, 11, 8884, 3296, 52767, 1047, 6924, 1243, 11, 19755, 5605, 430, 1054, 33, 437, 869, 2011, 539, 387, 7108, 482, 568, 374, 7941, 11, 43169, 10184, 1919, 11, 568, 374, 4460, 369, 2626, 2029, 11995, 11, 3296, 52767, 323, 29071, 869, 11, 304, 279, 220, 2550, 15, 82, 1051, 1080, 12, 23840, 315, 279, 735, 13075, 2201, 88, 1590, 74, 25674, 1554, 18354, 627, 36, 5746, 869, 13919, 430, 449, 279, 4648, 315, 11550, 29071, 869, 11, 3296, 52767, 753, 1162, 1436, 4498, 10980, 304, 5590, 13, 3082, 11, 568, 1587, 539, 22429, 1778, 459, 3072, 25, 88231, 29071, 869, 690, 15187, 387, 13989, 323, 9498, 304, 5590, 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 ]
[ 128000, 791, 16907, 4648, 315, 264, 8690, 47794, 88231, 29071, 869, 1253, 1054, 2739, 258, 279, 1162, 863, 2403, 279, 735, 13075, 2201, 88, 1590, 74, 47378, 96664, 5849, 3296, 52767, 627, 2127, 7185, 2373, 35271, 1403, 15234, 323, 1579, 25171, 4455, 315, 279, 1566, 2919, 482, 279, 8163, 315, 279, 11495, 735, 13075, 2201, 88, 1590, 74, 47378, 96664, 5849, 3296, 52767, 323, 279, 26454, 4648, 315, 264, 47794, 88231, 29071, 869, 574, 2231, 4741, 555, 279, 5526, 40281, 8683, 20568, 469, 5746, 869, 627, 1548, 19813, 311, 264, 5224, 505, 459, 22939, 2592, 304, 279, 8990, 430, 29071, 869, 574, 10171, 311, 387, 264, 11550, 2403, 96664, 5849, 3296, 52767, 11, 719, 4762, 14896, 311, 6230, 5678, 1606, 568, 574, 330, 83, 2757, 315, 18208, 10246, 2127, 3072, 374, 539, 21989, 704, 11, 4184, 311, 469, 5746, 869, 11, 430, 29071, 869, 574, 5042, 7577, 1306, 6975, 430, 3296, 52767, 753, 8163, 574, 1694, 10235, 13, 1628, 1521, 1403, 5885, 617, 1027, 11537, 449, 1855, 1023, 2533, 279, 220, 2550, 15, 82, 627, 13461, 304, 1884, 1667, 11, 4184, 311, 26453, 11, 1054, 64, 220, 1419, 4771, 6418, 4562, 315, 279, 9337, 1912, 11, 20643, 13106, 372, 869, 11, 1047, 264, 12324, 449, 96664, 5849, 3296, 52767, 927, 279, 52583, 11, 304, 279, 9647, 315, 279, 1176, 11, 8141, 315, 8070, 505, 10496, 7640, 2029, 1628, 433, 5084, 430, 3296, 52767, 11, 3515, 6773, 430, 13106, 372, 869, 6944, 311, 5622, 1461, 11, 42075, 264, 3738, 88245, 1466, 52767, 311, 31335, 279, 10102, 315, 13106, 372, 869, 627, 3112, 304, 220, 2550, 20, 11, 420, 88245, 1466, 52767, 5678, 11713, 3892, 49417, 13865, 11, 2737, 2403, 88231, 29071, 869, 11, 8884, 3296, 52767, 1047, 6924, 1243, 11, 19755, 5605, 430, 1054, 33, 437, 869, 2011, 539, 387, 7108, 482, 568, 374, 7941, 11, 43169, 10184, 1919, 11, 568, 374, 4460, 369, 2626, 2029, 11995, 11, 3296, 52767, 323, 29071, 869, 11, 304, 279, 220, 2550, 15, 82, 1051, 1080, 12, 23840, 315, 279, 735, 13075, 2201, 88, 1590, 74, 25674, 1554, 18354, 627, 36, 5746, 869, 13919, 430, 449, 279, 4648, 315, 11550, 29071, 869, 11, 3296, 52767, 753, 1162, 1436, 4498, 10980, 304, 5590, 13, 3082, 11, 568, 1587, 539, 22429, 1778, 459, 3072, 25, 88231, 29071, 869, 690, 15187, 387, 13989, 323, 9498, 304, 5590, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 8586, 753, 264, 2216, 7155, 9526, 499, 649, 656, 520, 2162, 11, 1405, 499, 649, 1977, 701, 1866, 87969, 6166, 320, 269, 87969, 29232, 42395, 1115, 374, 13524, 264, 24924, 13790, 65456, 11, 719, 279, 20953, 1541, 1431, 43880, 3403, 311, 3604, 13194, 5606, 13, 16782, 11, 499, 649, 1518, 1268, 29057, 5043, 814, 649, 733, 627, 1271, 1977, 279, 87969, 6166, 11, 682, 499, 1205, 527, 220, 24, 5041, 35553, 320, 906, 1511, 220, 20, 14, 23, 17560, 23899, 8, 323, 1403, 841, 1094, 51318, 73780, 11, 902, 499, 649, 1505, 2930, 13, 1472, 1205, 311, 387, 1633, 16994, 449, 1521, 73780, 1606, 814, 527, 5115, 3831, 627, 791, 1176, 3245, 499, 1205, 311, 656, 374, 17401, 279, 73780, 311, 279, 6558, 13, 1226, 1511, 3634, 304, 1990, 279, 21130, 389, 264, 9979, 6558, 439, 1057, 3839, 13, 5256, 555, 259, 14550, 832, 315, 279, 73780, 1523, 323, 38072, 279, 20953, 311, 1314, 3185, 315, 279, 33297, 627, 5971, 11, 2035, 279, 1023, 33297, 264, 2478, 15271, 3201, 323, 656, 279, 1890, 13, 1472, 1288, 617, 220, 19, 12, 20, 5041, 35553, 12673, 311, 279, 73780, 1093, 304, 279, 6945, 3770, 13, 1472, 649, 9526, 1268, 279, 27032, 1990, 279, 73780, 323, 1396, 315, 20953, 7958, 279, 8244, 31903, 315, 279, 3756, 627, 1271, 6230, 279, 87969, 6166, 11, 1120, 6638, 264, 3254, 5041, 18534, 3235, 279, 10228, 1584, 1139, 279, 2163, 3185, 315, 279, 2163, 33297, 13, 1472, 4805, 1893, 264, 8957, 13010, 323, 264, 5041, 690, 733, 10658, 1022, 279, 1314, 3185, 315, 279, 1314, 33297, 4999, 4438, 1587, 433, 990, 5380, 791, 87969, 6166, 374, 264, 2294, 1648, 311, 3619, 71423, 4907, 323, 4754, 4907, 13, 1472, 649, 1781, 315, 4907, 439, 459, 5845, 311, 656, 990, 13, 1472, 1288, 5406, 430, 701, 73780, 9504, 279, 5041, 35553, 449, 264, 5128, 3831, 5457, 13, 3277, 499, 6958, 264, 5041, 18534, 3201, 11, 499, 527, 3815, 990, 311, 6958, 2403, 420, 24924, 5457, 13, 2100, 11, 994, 264, 5041, 18534, 28473, 7119, 264, 33297, 11, 279, 33297, 1587, 990, 389, 279, 5041, 18534, 323, 25753, 433, 709, 13, 763, 420, 1648, 11, 4754, 4907, 374, 1694, 6656, 1139, 71423, 4907, 627, 4599, 279, 5041, 13280, 279, 33297, 11, 420, 4907, 374, 1578, 23217, 13, 4427, 374, 1511, 709, 555, 3339, 5222, 323, 264, 2697, 8798, 13, 2030, 11, 1455, 35292, 1555, 279, 33297, 323, 5729, 315, 20953, 311, 279, 1566, 5041, 13, 9393, 420, 1566, 5041, 374, 5128, 3117, 505, 279, 33297, 11, 433, 374, 7621, 398, 12673, 323, 11141, 449, 4661, 279, 1890, 4732, 439, 279, 1176, 5041, 430, 4295, 279, 33297, 389, 279, 2163, 627, 4516, 11, 279, 6307, 5041, 389, 279, 1314, 11141, 520, 264, 5128, 5043, 4732, 323, 374, 49858, 555, 279, 2132, 33297, 311, 733, 1524, 10819, 13, 7570, 810, 4907, 374, 23217, 1555, 279, 2132, 10474, 28965, 279, 1566, 5041, 520, 264, 5128, 15400, 4732, 627, 33408, 810, 18094, 1053, 63234, 5376, 279, 4732, 1524, 810, 4999, 3923, 422, 499, 1193, 617, 832, 5041, 389, 1855, 3185, 315, 279, 33297, 656, 499, 636, 279, 1890, 3135, 30, 3639, 422, 279, 20953, 527, 24924, 1124, 726, 82, 497, 3923, 374, 279, 33297, 374, 1790, 16643, 1093, 617, 264, 6958, 9009, 315, 220, 2636, 29160, 30, 497, 358, 29308, 1093, 420, 5354, 40, 1781, 499, 6688, 279, 1455, 11944, 16540, 602, 1436, 1505, 389, 279, 4272, 627, 2028, 9526, 1193, 4375, 1606, 315, 279, 9546, 315, 5361, 20953, 520, 832, 842, 13, 1442, 1070, 574, 1193, 264, 3254, 5041, 11, 279, 33297, 1053, 6958, 389, 279, 5041, 11, 98015, 1790, 315, 279, 71423, 4907, 13, 3011, 374, 3249, 5361, 20953, 527, 4460, 13, 7429, 11, 433, 374, 539, 264, 29232, 11, 439, 46470, 617, 320, 1072, 71, 8, 38024, 2785, 11, 477, 28029, 10707, 10296, 49267, 1139, 279, 20929, 311, 70772, 39057, 12903, 627, 12947, 369, 701, 3169, 4339, 0, 78990, 1120, 832, 5041, 389, 279, 1023, 3185, 690, 4762, 539, 990, 13, 578, 71423, 4907, 706, 311, 387, 23217, 311, 264, 5041, 430, 374, 4726, 505, 279, 33297, 1109, 279, 832, 20129, 320, 9210, 753, 3249, 584, 1511, 220, 19, 20953, 570, 362, 1790, 16643, 33297, 706, 279, 4754, 311, 5376, 279, 71423, 4907, 8481, 320, 69, 2352, 5041, 570, 1472, 1288, 1456, 433, 704, 4999, 3923, 358, 1390, 311, 1440, 374, 25, 3861, 9699, 5041, 311, 832, 33297, 1389, 1405, 1587, 71423, 4907, 733, 30, 1442, 433, 374, 23217, 311, 33297, 11, 1243, 1148, 627, 7184, 11, 832, 5041, 311, 832, 33297, 449, 832, 5041, 389, 1023, 3185, 1389, 71423, 4907, 23217, 719, 374, 24924, 5457, 2288, 3831, 323, 430, 1023, 5041, 690, 539, 47881, 30, 2582, 690, 433, 47881, 323, 6638, 1203, 13, 1442, 779, 11, 4543, 3906, 11, 1587, 71423, 4907, 2543, 1203, 1139, 24924, 4754, 4907, 13, 1442, 814, 527, 682, 2884, 7366, 11, 1587, 430, 3152, 682, 71423, 4907, 374, 386, 1777, 1578, 5380, 40, 8967, 5041, 11, 2800, 660, 3770, 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 ]
[ 128000, 8586, 753, 264, 2216, 7155, 9526, 499, 649, 656, 520, 2162, 11, 1405, 499, 649, 1977, 701, 1866, 87969, 6166, 320, 269, 87969, 29232, 42395, 1115, 374, 13524, 264, 24924, 13790, 65456, 11, 719, 279, 20953, 1541, 1431, 43880, 3403, 311, 3604, 13194, 5606, 13, 16782, 11, 499, 649, 1518, 1268, 29057, 5043, 814, 649, 733, 627, 1271, 1977, 279, 87969, 6166, 11, 682, 499, 1205, 527, 220, 24, 5041, 35553, 320, 906, 1511, 220, 20, 14, 23, 17560, 23899, 8, 323, 1403, 841, 1094, 51318, 73780, 11, 902, 499, 649, 1505, 2930, 13, 1472, 1205, 311, 387, 1633, 16994, 449, 1521, 73780, 1606, 814, 527, 5115, 3831, 627, 791, 1176, 3245, 499, 1205, 311, 656, 374, 17401, 279, 73780, 311, 279, 6558, 13, 1226, 1511, 3634, 304, 1990, 279, 21130, 389, 264, 9979, 6558, 439, 1057, 3839, 13, 5256, 555, 259, 14550, 832, 315, 279, 73780, 1523, 323, 38072, 279, 20953, 311, 1314, 3185, 315, 279, 33297, 627, 5971, 11, 2035, 279, 1023, 33297, 264, 2478, 15271, 3201, 323, 656, 279, 1890, 13, 1472, 1288, 617, 220, 19, 12, 20, 5041, 35553, 12673, 311, 279, 73780, 1093, 304, 279, 6945, 3770, 13, 1472, 649, 9526, 1268, 279, 27032, 1990, 279, 73780, 323, 1396, 315, 20953, 7958, 279, 8244, 31903, 315, 279, 3756, 627, 1271, 6230, 279, 87969, 6166, 11, 1120, 6638, 264, 3254, 5041, 18534, 3235, 279, 10228, 1584, 1139, 279, 2163, 3185, 315, 279, 2163, 33297, 13, 1472, 4805, 1893, 264, 8957, 13010, 323, 264, 5041, 690, 733, 10658, 1022, 279, 1314, 3185, 315, 279, 1314, 33297, 4999, 4438, 1587, 433, 990, 5380, 791, 87969, 6166, 374, 264, 2294, 1648, 311, 3619, 71423, 4907, 323, 4754, 4907, 13, 1472, 649, 1781, 315, 4907, 439, 459, 5845, 311, 656, 990, 13, 1472, 1288, 5406, 430, 701, 73780, 9504, 279, 5041, 35553, 449, 264, 5128, 3831, 5457, 13, 3277, 499, 6958, 264, 5041, 18534, 3201, 11, 499, 527, 3815, 990, 311, 6958, 2403, 420, 24924, 5457, 13, 2100, 11, 994, 264, 5041, 18534, 28473, 7119, 264, 33297, 11, 279, 33297, 1587, 990, 389, 279, 5041, 18534, 323, 25753, 433, 709, 13, 763, 420, 1648, 11, 4754, 4907, 374, 1694, 6656, 1139, 71423, 4907, 627, 4599, 279, 5041, 13280, 279, 33297, 11, 420, 4907, 374, 1578, 23217, 13, 4427, 374, 1511, 709, 555, 3339, 5222, 323, 264, 2697, 8798, 13, 2030, 11, 1455, 35292, 1555, 279, 33297, 323, 5729, 315, 20953, 311, 279, 1566, 5041, 13, 9393, 420, 1566, 5041, 374, 5128, 3117, 505, 279, 33297, 11, 433, 374, 7621, 398, 12673, 323, 11141, 449, 4661, 279, 1890, 4732, 439, 279, 1176, 5041, 430, 4295, 279, 33297, 389, 279, 2163, 627, 4516, 11, 279, 6307, 5041, 389, 279, 1314, 11141, 520, 264, 5128, 5043, 4732, 323, 374, 49858, 555, 279, 2132, 33297, 311, 733, 1524, 10819, 13, 7570, 810, 4907, 374, 23217, 1555, 279, 2132, 10474, 28965, 279, 1566, 5041, 520, 264, 5128, 15400, 4732, 627, 33408, 810, 18094, 1053, 63234, 5376, 279, 4732, 1524, 810, 4999, 3923, 422, 499, 1193, 617, 832, 5041, 389, 1855, 3185, 315, 279, 33297, 656, 499, 636, 279, 1890, 3135, 30, 3639, 422, 279, 20953, 527, 24924, 1124, 726, 82, 497, 3923, 374, 279, 33297, 374, 1790, 16643, 1093, 617, 264, 6958, 9009, 315, 220, 2636, 29160, 30, 497, 358, 29308, 1093, 420, 5354, 40, 1781, 499, 6688, 279, 1455, 11944, 16540, 602, 1436, 1505, 389, 279, 4272, 627, 2028, 9526, 1193, 4375, 1606, 315, 279, 9546, 315, 5361, 20953, 520, 832, 842, 13, 1442, 1070, 574, 1193, 264, 3254, 5041, 11, 279, 33297, 1053, 6958, 389, 279, 5041, 11, 98015, 1790, 315, 279, 71423, 4907, 13, 3011, 374, 3249, 5361, 20953, 527, 4460, 13, 7429, 11, 433, 374, 539, 264, 29232, 11, 439, 46470, 617, 320, 1072, 71, 8, 38024, 2785, 11, 477, 28029, 10707, 10296, 49267, 1139, 279, 20929, 311, 70772, 39057, 12903, 627, 12947, 369, 701, 3169, 4339, 0, 78990, 1120, 832, 5041, 389, 279, 1023, 3185, 690, 4762, 539, 990, 13, 578, 71423, 4907, 706, 311, 387, 23217, 311, 264, 5041, 430, 374, 4726, 505, 279, 33297, 1109, 279, 832, 20129, 320, 9210, 753, 3249, 584, 1511, 220, 19, 20953, 570, 362, 1790, 16643, 33297, 706, 279, 4754, 311, 5376, 279, 71423, 4907, 8481, 320, 69, 2352, 5041, 570, 1472, 1288, 1456, 433, 704, 4999, 3923, 358, 1390, 311, 1440, 374, 25, 3861, 9699, 5041, 311, 832, 33297, 1389, 1405, 1587, 71423, 4907, 733, 30, 1442, 433, 374, 23217, 311, 33297, 11, 1243, 1148, 627, 7184, 11, 832, 5041, 311, 832, 33297, 449, 832, 5041, 389, 1023, 3185, 1389, 71423, 4907, 23217, 719, 374, 24924, 5457, 2288, 3831, 323, 430, 1023, 5041, 690, 539, 47881, 30, 2582, 690, 433, 47881, 323, 6638, 1203, 13, 1442, 779, 11, 4543, 3906, 11, 1587, 71423, 4907, 2543, 1203, 1139, 24924, 4754, 4907, 13, 1442, 814, 527, 682, 2884, 7366, 11, 1587, 430, 3152, 682, 71423, 4907, 374, 386, 1777, 1578, 5380, 40, 8967, 5041, 11, 2800, 660, 3770, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 72, 4024, 311, 264, 9439, 1387, 21497, 7636, 1667, 4227, 323, 311, 387, 1633, 10978, 433, 574, 1633, 32015, 3189, 9162, 520, 1176, 1694, 856, 1176, 3596, 21497, 323, 7000, 315, 856, 4885, 520, 279, 892, 34793, 311, 9439, 1387, 719, 602, 574, 2216, 12304, 311, 1518, 1124, 779, 602, 574, 406, 16926, 1095, 430, 3009, 757, 13, 45396, 2216, 9087, 757, 19858, 279, 50581, 323, 1095, 733, 315, 856, 20747, 6055, 13, 1828, 3245, 602, 1440, 11, 757, 323, 279, 1274, 1828, 311, 757, 1051, 682, 26139, 279, 11936, 704, 17813, 323, 433, 574, 9615, 3361, 13, 4815, 33871, 420, 1060, 11, 602, 4024, 7636, 311, 733, 1518, 921, 19456, 8696, 323, 279, 5554, 88456, 3245, 7077, 13, 832, 3245, 99677, 9687, 11, 374, 430, 37163, 311, 279, 1732, 1828, 311, 499, 374, 1148, 9087, 757, 4827, 856, 18547, 323, 420, 14397, 6575, 1606, 1578, 1828, 3245, 602, 1440, 584, 527, 2225, 87211, 1057, 14971, 311, 279, 11936, 323, 264, 5743, 315, 3115, 584, 1427, 927, 311, 1855, 1605, 449, 264, 15648, 323, 433, 1903, 279, 3217, 682, 5922, 433, 382, 15031, 9650, 25, 6227, 311, 15648, 0, 4815, 13246, 279, 2294, 81669, 3131, 1071, 330, 25099, 3727, 279, 1274, 2586, 3871, 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 ]
[ 128000, 72, 4024, 311, 264, 9439, 1387, 21497, 7636, 1667, 4227, 323, 311, 387, 1633, 10978, 433, 574, 1633, 32015, 3189, 9162, 520, 1176, 1694, 856, 1176, 3596, 21497, 323, 7000, 315, 856, 4885, 520, 279, 892, 34793, 311, 9439, 1387, 719, 602, 574, 2216, 12304, 311, 1518, 1124, 779, 602, 574, 406, 16926, 1095, 430, 3009, 757, 13, 45396, 2216, 9087, 757, 19858, 279, 50581, 323, 1095, 733, 315, 856, 20747, 6055, 13, 1828, 3245, 602, 1440, 11, 757, 323, 279, 1274, 1828, 311, 757, 1051, 682, 26139, 279, 11936, 704, 17813, 323, 433, 574, 9615, 3361, 13, 4815, 33871, 420, 1060, 11, 602, 4024, 7636, 311, 733, 1518, 921, 19456, 8696, 323, 279, 5554, 88456, 3245, 7077, 13, 832, 3245, 99677, 9687, 11, 374, 430, 37163, 311, 279, 1732, 1828, 311, 499, 374, 1148, 9087, 757, 4827, 856, 18547, 323, 420, 14397, 6575, 1606, 1578, 1828, 3245, 602, 1440, 584, 527, 2225, 87211, 1057, 14971, 311, 279, 11936, 323, 264, 5743, 315, 3115, 584, 1427, 927, 311, 1855, 1605, 449, 264, 15648, 323, 433, 1903, 279, 3217, 682, 5922, 433, 382, 15031, 9650, 25, 6227, 311, 15648, 0, 4815, 13246, 279, 2294, 81669, 3131, 1071, 330, 25099, 3727, 279, 1274, 2586, 3871, 1, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 34517, 18451, 7947, 25, 923, 1862, 369, 28672, 577, 258, 843, 26864, 304, 279, 25464, 50, 198, 5223, 62, 15, 25, 17010, 94628, 4096, 319, 2261, 1862, 369, 28672, 477, 5403, 1595, 2557, 843, 530, 63, 955, 304, 279, 11842, 20198, 26598, 5942, 24226, 14711, 27866, 10537, 319, 6869, 279, 5552, 7177, 4401, 279, 2768, 304, 279, 1296, 8695, 33080, 74694, 939, 319, 78104, 7345, 1977, 482, 35, 330, 10238, 41121, 50, 28, 16568, 1, 8381, 8891, 319, 74694, 319, 3461, 3072, 25, 721, 8960, 264, 2687, 843, 530, 304, 279, 25464, 50, 62, 320, 2000, 28672, 8, 2591, 3461, 3072, 25, 2175, 264, 8767, 6924, 2687, 843, 530, 505, 279, 308, 11823, 62, 320, 2000, 5403, 7377, 14711, 37543, 14, 6616, 82, 15407, 319, 4155, 198, 27, 11407, 18104, 29, 5223, 62, 16, 25, 358, 5602, 682, 5509, 11, 369, 757, 733, 8469, 627, 27, 11407, 18104, 29, 5223, 62, 15, 25, 5509, 11, 779, 59576, 323, 54477, 551, 10, 16, 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 ]
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 34517, 18451, 7947, 25, 923, 1862, 369, 28672, 577, 258, 843, 26864, 304, 279, 25464, 50, 198, 5223, 62, 15, 25, 17010, 94628, 4096, 319, 2261, 1862, 369, 28672, 477, 5403, 1595, 2557, 843, 530, 63, 955, 304, 279, 11842, 20198, 26598, 5942, 24226, 14711, 27866, 10537, 319, 6869, 279, 5552, 7177, 4401, 279, 2768, 304, 279, 1296, 8695, 33080, 74694, 939, 319, 78104, 7345, 1977, 482, 35, 330, 10238, 41121, 50, 28, 16568, 1, 8381, 8891, 319, 74694, 319, 3461, 3072, 25, 721, 8960, 264, 2687, 843, 530, 304, 279, 25464, 50, 62, 320, 2000, 28672, 8, 2591, 3461, 3072, 25, 2175, 264, 8767, 6924, 2687, 843, 530, 505, 279, 308, 11823, 62, 320, 2000, 5403, 7377, 14711, 37543, 14, 6616, 82, 15407, 319, 4155, 198, 27, 11407, 18104, 29, 5223, 62, 16, 25, 358, 5602, 682, 5509, 11, 369, 757, 733, 8469, 627, 27, 11407, 18104, 29, 5223, 62, 15, 25, 5509, 11, 779, 59576, 323, 54477, 551, 10, 16, 25, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1271, 701, 1176, 961, 11, 264, 3544, 2944, 3249, 584, 1541, 956, 617, 15160, 304, 1884, 7634, 3250, 956, 617, 311, 656, 449, 279, 24833, 719, 4856, 279, 6811, 304, 24826, 323, 11005, 13, 220, 3011, 596, 5614, 12207, 304, 279, 3293, 1667, 13, 19124, 1271, 701, 4600, 11, 10035, 13, 220, 2360, 11, 279, 17193, 3250, 956, 1514, 449, 279, 12248, 11, 719, 311, 2019, 814, 1541, 956, 8935, 505, 433, 1053, 387, 30355, 13, 220, 578, 330, 3875, 458, 1, 961, 315, 90184, 4536, 956, 279, 2144, 430, 279, 7359, 527, 12512, 279, 1023, 2128, 596, 8146, 323, 69002, 369, 1124, 13, 220, 578, 1404, 323, 12248, 527, 11383, 279, 1403, 8706, 9547, 11, 323, 584, 617, 2225, 304, 993, 3536, 13, 220, 5751, 4311, 2834, 956, 387, 11689, 1139, 279, 24833, 304, 51517, 520, 279, 1404, 11, 323, 814, 617, 11510, 315, 3217, 304, 279, 12248, 13, 19124, 31485, 11, 430, 596, 539, 311, 2019, 433, 2834, 956, 387, 264, 8331, 11, 719, 584, 617, 11510, 315, 3217, 5737, 304, 1778, 7634, 13, 220, 7429, 11, 422, 499, 1390, 1120, 7833, 33615, 1243, 733, 1514, 304, 58751, 754, 377, 1405, 499, 16280, 617, 311, 48973, 27360, 682, 1847, 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 ]
[ 128000, 1271, 701, 1176, 961, 11, 264, 3544, 2944, 3249, 584, 1541, 956, 617, 15160, 304, 1884, 7634, 3250, 956, 617, 311, 656, 449, 279, 24833, 719, 4856, 279, 6811, 304, 24826, 323, 11005, 13, 220, 3011, 596, 5614, 12207, 304, 279, 3293, 1667, 13, 19124, 1271, 701, 4600, 11, 10035, 13, 220, 2360, 11, 279, 17193, 3250, 956, 1514, 449, 279, 12248, 11, 719, 311, 2019, 814, 1541, 956, 8935, 505, 433, 1053, 387, 30355, 13, 220, 578, 330, 3875, 458, 1, 961, 315, 90184, 4536, 956, 279, 2144, 430, 279, 7359, 527, 12512, 279, 1023, 2128, 596, 8146, 323, 69002, 369, 1124, 13, 220, 578, 1404, 323, 12248, 527, 11383, 279, 1403, 8706, 9547, 11, 323, 584, 617, 2225, 304, 993, 3536, 13, 220, 5751, 4311, 2834, 956, 387, 11689, 1139, 279, 24833, 304, 51517, 520, 279, 1404, 11, 323, 814, 617, 11510, 315, 3217, 304, 279, 12248, 13, 19124, 31485, 11, 430, 596, 539, 311, 2019, 433, 2834, 956, 387, 264, 8331, 11, 719, 584, 617, 11510, 315, 3217, 5737, 304, 1778, 7634, 13, 220, 7429, 11, 422, 499, 1390, 1120, 7833, 33615, 1243, 733, 1514, 304, 58751, 754, 377, 1405, 499, 16280, 617, 311, 48973, 27360, 682, 1847, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 91483, 1618, 11, 682, 9959, 6170, 323, 20954, 9002, 279, 1229, 8867, 5708, 13, 5321, 5296, 430, 682, 6170, 5343, 1618, 617, 2322, 93696, 916, 596, 12535, 48528, 627, 3923, 374, 701, 27065, 389, 62502, 5380, 40, 1390, 279, 2326, 311, 41836, 304, 220, 20, 38, 1606, 10758, 374, 279, 1455, 8147, 5507, 13, 1115, 374, 3249, 1229, 8867, 374, 279, 1455, 3062, 16797, 25214, 13, 1442, 584, 9229, 420, 4208, 2403, 51707, 11, 279, 2410, 690, 6541, 311, 5734, 304, 3221, 3938, 627, 2181, 374, 5509, 369, 5734, 311, 3243, 1131, 906, 1288, 387, 6380, 369, 1124, 422, 814, 656, 13, 578, 1917, 374, 264, 3728, 2035, 1457, 11, 433, 3250, 956, 5030, 889, 15160, 477, 9229, 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 ]
[ 128000, 91483, 1618, 11, 682, 9959, 6170, 323, 20954, 9002, 279, 1229, 8867, 5708, 13, 5321, 5296, 430, 682, 6170, 5343, 1618, 617, 2322, 93696, 916, 596, 12535, 48528, 627, 3923, 374, 701, 27065, 389, 62502, 5380, 40, 1390, 279, 2326, 311, 41836, 304, 220, 20, 38, 1606, 10758, 374, 279, 1455, 8147, 5507, 13, 1115, 374, 3249, 1229, 8867, 374, 279, 1455, 3062, 16797, 25214, 13, 1442, 584, 9229, 420, 4208, 2403, 51707, 11, 279, 2410, 690, 6541, 311, 5734, 304, 3221, 3938, 627, 2181, 374, 5509, 369, 5734, 311, 3243, 1131, 906, 1288, 387, 6380, 369, 1124, 422, 814, 656, 13, 578, 1917, 374, 264, 3728, 2035, 1457, 11, 433, 3250, 956, 5030, 889, 15160, 477, 9229, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 ]
121
[ 128000, 32, 24716, 88177, 1122, 1913, 331, 320, 5889, 4088, 285, 37833, 285, 8, 3515, 6307, 323, 14071, 42272, 425, 627, 64, 88177, 1122, 1913, 331, 11, 6938, 4088, 285, 37833, 285, 11, 3515, 6307, 323, 14071, 42272, 425, 627, 791, 4848, 1455, 17037, 16914, 9606, 304, 279, 16700, 315, 328, 12558, 3263, 26301, 1051, 7874, 921, 2715, 37850, 320, 9992, 13, 20, 13840, 705, 7665, 8409, 258, 320, 9690, 13, 20, 13840, 705, 7874, 5348, 23414, 320, 8027, 13840, 705, 7665, 7997, 5589, 331, 320, 5037, 13, 20, 13840, 705, 3165, 15889, 20793, 7320, 261, 320, 5925, 13, 20, 13840, 705, 323, 7665, 67906, 90084, 320, 1774, 13, 20, 13840, 4390, 1687, 1511, 279, 828, 369, 279, 220, 868, 1455, 17037, 16914, 12224, 9606, 11, 449, 520, 3325, 220, 14125, 11, 931, 13468, 57749, 1855, 2391, 220, 1049, 21, 12, 679, 21, 11, 369, 4726, 29060, 25, 88177, 1122, 6437, 8305, 320, 34, 8503, 75460, 2211, 80493, 355, 705, 4279, 523, 2715, 37850, 320, 37, 12928, 6374, 1080, 10274, 1302, 705, 88177, 1122, 4983, 20898, 320, 47, 3074, 281, 3074, 705, 7665, 6307, 5589, 331, 320, 1163, 9761, 285, 37833, 285, 705, 3776, 2579, 2527, 320, 3438, 16355, 292, 56266, 12218, 2739, 3714, 705, 2294, 8305, 320, 4368, 355, 3682, 705, 4279, 3776, 23414, 11, 3838, 993, 6172, 320, 12465, 261, 13018, 355, 705, 88177, 1122, 5021, 993, 6172, 320, 12465, 261, 20605, 59063, 705, 4279, 30462, 320, 10835, 355, 1469, 355, 705, 4279, 3838, 96016, 320, 16939, 718, 263, 78810, 86231, 705, 48595, 290, 9460, 320, 10803, 85, 355, 1867, 606, 705, 4279, 7732, 93644, 320, 34, 1152, 4749, 11091, 3635, 355, 705, 7665, 99685, 320, 20027, 411, 96405, 10485, 762, 5724, 705, 323, 4279, 6917, 2785, 320, 50, 413, 355, 74260, 285, 4390, 2520, 1884, 44040, 311, 5944, 42436, 4028, 279, 24867, 369, 872, 6307, 5589, 8696, 323, 8617, 369, 1884, 889, 527, 62200, 11, 279, 7665, 7997, 5589, 331, 6938, 4088, 285, 37833, 285, 374, 1766, 1618, 304, 15212, 627, 791, 1403, 1455, 21933, 13878, 315, 1057, 3135, 1051, 279, 3428, 46900, 75, 4249, 320, 438, 31484, 69044, 8, 20057, 304, 18671, 7665, 439, 510, 79299, 7226, 14444, 4716, 14700, 220, 20, 70500, 34570, 60, 13168, 291, 311, 18561, 7665, 6307, 5589, 331, 22673, 11, 323, 279, 6917, 4908, 37555, 848, 33495, 315, 2204, 46900, 9363, 1842, 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 ]
[ 128000, 32, 24716, 88177, 1122, 1913, 331, 320, 5889, 4088, 285, 37833, 285, 8, 3515, 6307, 323, 14071, 42272, 425, 627, 64, 88177, 1122, 1913, 331, 11, 6938, 4088, 285, 37833, 285, 11, 3515, 6307, 323, 14071, 42272, 425, 627, 791, 4848, 1455, 17037, 16914, 9606, 304, 279, 16700, 315, 328, 12558, 3263, 26301, 1051, 7874, 921, 2715, 37850, 320, 9992, 13, 20, 13840, 705, 7665, 8409, 258, 320, 9690, 13, 20, 13840, 705, 7874, 5348, 23414, 320, 8027, 13840, 705, 7665, 7997, 5589, 331, 320, 5037, 13, 20, 13840, 705, 3165, 15889, 20793, 7320, 261, 320, 5925, 13, 20, 13840, 705, 323, 7665, 67906, 90084, 320, 1774, 13, 20, 13840, 4390, 1687, 1511, 279, 828, 369, 279, 220, 868, 1455, 17037, 16914, 12224, 9606, 11, 449, 520, 3325, 220, 14125, 11, 931, 13468, 57749, 1855, 2391, 220, 1049, 21, 12, 679, 21, 11, 369, 4726, 29060, 25, 88177, 1122, 6437, 8305, 320, 34, 8503, 75460, 2211, 80493, 355, 705, 4279, 523, 2715, 37850, 320, 37, 12928, 6374, 1080, 10274, 1302, 705, 88177, 1122, 4983, 20898, 320, 47, 3074, 281, 3074, 705, 7665, 6307, 5589, 331, 320, 1163, 9761, 285, 37833, 285, 705, 3776, 2579, 2527, 320, 3438, 16355, 292, 56266, 12218, 2739, 3714, 705, 2294, 8305, 320, 4368, 355, 3682, 705, 4279, 3776, 23414, 11, 3838, 993, 6172, 320, 12465, 261, 13018, 355, 705, 88177, 1122, 5021, 993, 6172, 320, 12465, 261, 20605, 59063, 705, 4279, 30462, 320, 10835, 355, 1469, 355, 705, 4279, 3838, 96016, 320, 16939, 718, 263, 78810, 86231, 705, 48595, 290, 9460, 320, 10803, 85, 355, 1867, 606, 705, 4279, 7732, 93644, 320, 34, 1152, 4749, 11091, 3635, 355, 705, 7665, 99685, 320, 20027, 411, 96405, 10485, 762, 5724, 705, 323, 4279, 6917, 2785, 320, 50, 413, 355, 74260, 285, 4390, 2520, 1884, 44040, 311, 5944, 42436, 4028, 279, 24867, 369, 872, 6307, 5589, 8696, 323, 8617, 369, 1884, 889, 527, 62200, 11, 279, 7665, 7997, 5589, 331, 6938, 4088, 285, 37833, 285, 374, 1766, 1618, 304, 15212, 627, 791, 1403, 1455, 21933, 13878, 315, 1057, 3135, 1051, 279, 3428, 46900, 75, 4249, 320, 438, 31484, 69044, 8, 20057, 304, 18671, 7665, 439, 510, 79299, 7226, 14444, 4716, 14700, 220, 20, 70500, 34570, 60, 13168, 291, 311, 18561, 7665, 6307, 5589, 331, 22673, 11, 323, 279, 6917, 4908, 37555, 848, 33495, 315, 2204, 46900, 9363, 1842, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 791, 1193, 3445, 311, 76970, 8834, 304, 701, 36517, 374, 311, 18979, 701, 2860, 2547, 8834, 13, 1102, 753, 5115, 33045, 323, 690, 387, 3025, 311, 1520, 499, 22472, 6916, 8834, 304, 264, 2046, 13, 720, 2675, 5042, 1205, 220, 18, 2574, 311, 6068, 8834, 13, 2355, 578, 1455, 11297, 1749, 311, 8395, 8834, 24797, 4401, 374, 311, 2216, 16343, 2225, 46944, 13, 18056, 1690, 15687, 13750, 30099, 3201, 279, 8834, 323, 18979, 279, 1344, 12806, 1918, 304, 1790, 961, 11, 433, 2216, 374, 11292, 311, 22472, 6916, 8834, 13, 99239, 8834, 374, 2555, 902, 374, 389, 7154, 16470, 753, 4059, 13, 1102, 374, 4276, 3196, 389, 279, 7658, 315, 68372, 80011, 13, 1472, 1253, 9229, 430, 5217, 8834, 499, 3207, 15691, 627, 69557, 26417, 374, 3062, 369, 54767, 57930, 719, 1070, 753, 1690, 15687, 889, 527, 19969, 311, 30453, 1523, 555, 17345, 44649, 279, 12472, 315, 8834, 814, 8343, 13, 2355, 1472, 2011, 8720, 279, 25247, 499, 617, 27073, 304, 5369, 311, 279, 25247, 902, 499, 617, 27724, 323, 387, 2771, 430, 499, 8395, 279, 1890, 12472, 315, 25247, 902, 499, 8343, 13, 15636, 11, 422, 499, 1053, 1093, 311, 8395, 8834, 11, 27115, 18979, 279, 25247, 902, 499, 25024, 323, 387, 3738, 311, 25024, 279, 1455, 14791, 1396, 315, 25247, 369, 701, 26470, 627, 791, 2771, 5603, 311, 8395, 25247, 374, 4669, 10368, 13, 20817, 389, 279, 21261, 11, 499, 1253, 2567, 20252, 25247, 369, 264, 1396, 315, 4207, 27905, 13, 10771, 311, 1124, 11, 499, 1288, 25024, 17162, 25247, 311, 656, 701, 2218, 315, 44649, 36517, 8834, 10819, 13, 1472, 617, 311, 3619, 279, 2860, 3392, 315, 25247, 701, 2547, 3966, 311, 387, 3025, 311, 1304, 2771, 430, 499, 3207, 12459, 279, 6300, 3169, 315, 3691, 627, 35, 3978, 18813, 11335, 459, 7718, 3560, 311, 76970, 23152, 8834, 13, 9029, 2610, 1268, 1317, 814, 617, 311, 2567, 389, 420, 35872, 1824, 16404, 10173, 11, 279, 2077, 374, 11, 3156, 499, 11322, 701, 16945, 0, 7648, 41943, 2834, 1431, 656, 279, 2683, 11, 433, 649, 4827, 701, 4785, 719, 433, 649, 1431, 8395, 279, 5066, 2547, 8834, 13, 763, 1162, 499, 527, 3815, 433, 1314, 11, 3871, 449, 264, 1633, 1695, 10173, 11, 499, 2834, 1431, 21953, 2466, 13, 720, 1688, 701, 4785, 499, 1288, 4762, 25024, 220, 16, 11, 4728, 12, 17, 11, 2636, 311, 636, 9463, 315, 4785, 320, 40, 617, 912, 31089, 1268, 4642, 499, 527, 570, 1442, 701, 4785, 27656, 279, 1890, 11, 1243, 499, 3207, 5644, 311, 733, 13, 1102, 753, 9193, 34553, 311, 5662, 701, 4832, 4785, 422, 499, 3207, 3815, 4395, 26102, 311, 701, 2450, 627, 2675, 527, 3025, 311, 30453, 1523, 323, 2733, 2294, 13, 60842, 11, 422, 499, 5042, 1390, 311, 6068, 279, 4785, 1070, 527, 20181, 315, 5528, 311, 656, 433, 13, 1472, 1253, 636, 4785, 369, 264, 2763, 315, 8125, 11, 2019, 11, 6593, 3044, 11, 3185, 6372, 315, 904, 24099, 11, 46579, 10173, 2068, 477, 53808, 1648, 315, 2324, 11, 20209, 11, 74218, 27129, 11, 5099, 497, 1472, 4805, 25351, 4785, 69704, 2085, 33921, 311, 6917, 588, 11, 323, 7380, 2890, 323, 75716, 520, 7041, 279, 1890, 892, 13, 578, 1888, 1749, 311, 636, 3940, 80417, 4785, 5043, 374, 555, 51582, 13, 71828, 18189, 3691, 23730, 374, 8659, 459, 31914, 19995, 3445, 311, 30453, 1523, 11, 3515, 17162, 21644, 2216, 4536, 1431, 279, 3245, 311, 656, 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 ]
[ 128000, 791, 1193, 3445, 311, 76970, 8834, 304, 701, 36517, 374, 311, 18979, 701, 2860, 2547, 8834, 13, 1102, 753, 5115, 33045, 323, 690, 387, 3025, 311, 1520, 499, 22472, 6916, 8834, 304, 264, 2046, 13, 720, 2675, 5042, 1205, 220, 18, 2574, 311, 6068, 8834, 13, 2355, 578, 1455, 11297, 1749, 311, 8395, 8834, 24797, 4401, 374, 311, 2216, 16343, 2225, 46944, 13, 18056, 1690, 15687, 13750, 30099, 3201, 279, 8834, 323, 18979, 279, 1344, 12806, 1918, 304, 1790, 961, 11, 433, 2216, 374, 11292, 311, 22472, 6916, 8834, 13, 99239, 8834, 374, 2555, 902, 374, 389, 7154, 16470, 753, 4059, 13, 1102, 374, 4276, 3196, 389, 279, 7658, 315, 68372, 80011, 13, 1472, 1253, 9229, 430, 5217, 8834, 499, 3207, 15691, 627, 69557, 26417, 374, 3062, 369, 54767, 57930, 719, 1070, 753, 1690, 15687, 889, 527, 19969, 311, 30453, 1523, 555, 17345, 44649, 279, 12472, 315, 8834, 814, 8343, 13, 2355, 1472, 2011, 8720, 279, 25247, 499, 617, 27073, 304, 5369, 311, 279, 25247, 902, 499, 617, 27724, 323, 387, 2771, 430, 499, 8395, 279, 1890, 12472, 315, 25247, 902, 499, 8343, 13, 15636, 11, 422, 499, 1053, 1093, 311, 8395, 8834, 11, 27115, 18979, 279, 25247, 902, 499, 25024, 323, 387, 3738, 311, 25024, 279, 1455, 14791, 1396, 315, 25247, 369, 701, 26470, 627, 791, 2771, 5603, 311, 8395, 25247, 374, 4669, 10368, 13, 20817, 389, 279, 21261, 11, 499, 1253, 2567, 20252, 25247, 369, 264, 1396, 315, 4207, 27905, 13, 10771, 311, 1124, 11, 499, 1288, 25024, 17162, 25247, 311, 656, 701, 2218, 315, 44649, 36517, 8834, 10819, 13, 1472, 617, 311, 3619, 279, 2860, 3392, 315, 25247, 701, 2547, 3966, 311, 387, 3025, 311, 1304, 2771, 430, 499, 3207, 12459, 279, 6300, 3169, 315, 3691, 627, 35, 3978, 18813, 11335, 459, 7718, 3560, 311, 76970, 23152, 8834, 13, 9029, 2610, 1268, 1317, 814, 617, 311, 2567, 389, 420, 35872, 1824, 16404, 10173, 11, 279, 2077, 374, 11, 3156, 499, 11322, 701, 16945, 0, 7648, 41943, 2834, 1431, 656, 279, 2683, 11, 433, 649, 4827, 701, 4785, 719, 433, 649, 1431, 8395, 279, 5066, 2547, 8834, 13, 763, 1162, 499, 527, 3815, 433, 1314, 11, 3871, 449, 264, 1633, 1695, 10173, 11, 499, 2834, 1431, 21953, 2466, 13, 720, 1688, 701, 4785, 499, 1288, 4762, 25024, 220, 16, 11, 4728, 12, 17, 11, 2636, 311, 636, 9463, 315, 4785, 320, 40, 617, 912, 31089, 1268, 4642, 499, 527, 570, 1442, 701, 4785, 27656, 279, 1890, 11, 1243, 499, 3207, 5644, 311, 733, 13, 1102, 753, 9193, 34553, 311, 5662, 701, 4832, 4785, 422, 499, 3207, 3815, 4395, 26102, 311, 701, 2450, 627, 2675, 527, 3025, 311, 30453, 1523, 323, 2733, 2294, 13, 60842, 11, 422, 499, 5042, 1390, 311, 6068, 279, 4785, 1070, 527, 20181, 315, 5528, 311, 656, 433, 13, 1472, 1253, 636, 4785, 369, 264, 2763, 315, 8125, 11, 2019, 11, 6593, 3044, 11, 3185, 6372, 315, 904, 24099, 11, 46579, 10173, 2068, 477, 53808, 1648, 315, 2324, 11, 20209, 11, 74218, 27129, 11, 5099, 497, 1472, 4805, 25351, 4785, 69704, 2085, 33921, 311, 6917, 588, 11, 323, 7380, 2890, 323, 75716, 520, 7041, 279, 1890, 892, 13, 578, 1888, 1749, 311, 636, 3940, 80417, 4785, 5043, 374, 555, 51582, 13, 71828, 18189, 3691, 23730, 374, 8659, 459, 31914, 19995, 3445, 311, 30453, 1523, 11, 3515, 17162, 21644, 2216, 4536, 1431, 279, 3245, 311, 656, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 2520, 279, 1176, 892, 304, 264, 8617, 2269, 277, 5675, 3280, 11, 220, 1187, 9483, 9286, 11258, 19722, 11517, 650, 12583, 4896, 14407, 279, 49791, 2010, 23283, 12092, 2361, 369, 813, 14800, 6469, 627, 32, 7147, 315, 279, 8803, 15187, 42423, 304, 389, 650, 12583, 4896, 13, 362, 274, 47435, 4024, 1022, 15038, 323, 264, 4101, 315, 2778, 14146, 610, 2642, 291, 279, 3158, 13, 650, 12583, 4896, 574, 3025, 311, 12731, 1555, 11191, 15055, 315, 39438, 425, 323, 68851, 12616, 264, 46536, 13824, 9889, 11092, 311, 5596, 9987, 627, 2170, 568, 13541, 1022, 11, 568, 7111, 1523, 389, 757, 439, 279, 65578, 57536, 4319, 839, 279, 14763, 3130, 2029, 9241, 527, 279, 305, 4214, 902, 3782, 304, 311, 40344, 420, 3814, 30, 40224, 1124, 704, 30449, 603, 11, 430, 584, 1253, 59127, 74803, 113068, 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 ]
[ 128000, 2520, 279, 1176, 892, 304, 264, 8617, 2269, 277, 5675, 3280, 11, 220, 1187, 9483, 9286, 11258, 19722, 11517, 650, 12583, 4896, 14407, 279, 49791, 2010, 23283, 12092, 2361, 369, 813, 14800, 6469, 627, 32, 7147, 315, 279, 8803, 15187, 42423, 304, 389, 650, 12583, 4896, 13, 362, 274, 47435, 4024, 1022, 15038, 323, 264, 4101, 315, 2778, 14146, 610, 2642, 291, 279, 3158, 13, 650, 12583, 4896, 574, 3025, 311, 12731, 1555, 11191, 15055, 315, 39438, 425, 323, 68851, 12616, 264, 46536, 13824, 9889, 11092, 311, 5596, 9987, 627, 2170, 568, 13541, 1022, 11, 568, 7111, 1523, 389, 757, 439, 279, 65578, 57536, 4319, 839, 279, 14763, 3130, 2029, 9241, 527, 279, 305, 4214, 902, 3782, 304, 311, 40344, 420, 3814, 30, 40224, 1124, 704, 30449, 603, 11, 430, 584, 1253, 59127, 74803, 113068, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136 ]
137
[ 128000, 16384, 1003, 20948, 25, 14689, 596, 12873, 7411, 17459, 287, 502, 5627, 311, 9229, 198, 1383, 92746, 13972, 198, 93756, 13482, 14689, 198, 34827, 220, 1313, 11, 220, 679, 15, 198, 4054, 315, 279, 1176, 9141, 3953, 358, 5602, 304, 1732, 1566, 6287, 1198, 279, 4948, 832, 11, 422, 856, 5044, 17482, 757, 12722, 1198, 4024, 264, 2697, 1093, 420, 25, 64929, 32949, 11, 64929, 32949, 11, 41276, 42216, 3872, 13054, 311, 10335, 16684, 64457, 11, 459, 653, 84798, 323, 2753, 48754, 53421, 8096, 71362, 3872, 73557, 311, 64929, 2132, 43942, 9232, 11, 64929, 3243, 627, 16, 13, 4800, 430, 279, 12873, 3280, 374, 304, 1202, 14841, 1629, 11, 264, 5743, 315, 1884, 2574, 1541, 956, 5052, 13, 362, 5743, 1053, 26456, 439, 12018, 2548, 5967, 287, 13, 11519, 71362, 2643, 387, 279, 32966, 13, 8442, 13030, 374, 10494, 279, 64929, 505, 1694, 279, 12047, 2128, 304, 279, 12873, 13, 42216, 3872, 10283, 315, 33606, 311, 350, 8548, 2637, 719, 1455, 315, 1124, 2586, 449, 279, 64929, 1523, 2466, 3585, 13, 578, 64929, 1051, 709, 2466, 3585, 2403, 32489, 1198, 10035, 11, 279, 46740, 1198, 1603, 279, 64929, 3940, 5737, 1093, 279, 3907, 315, 32489, 323, 3794, 1206, 18838, 555, 1063, 7564, 7086, 14129, 11605, 13, 3011, 596, 1457, 8254, 7833, 18151, 369, 264, 2128, 430, 6052, 1120, 922, 16470, 505, 264, 2128, 430, 10837, 279, 64636, 4892, 2007, 1566, 1060, 11, 3779, 350, 8548, 13, 323, 1063, 31625, 10094, 323, 3782, 1139, 279, 1060, 7422, 2466, 13, 2435, 3077, 1457, 17551, 832, 2216, 11, 2216, 2466, 357, 771, 13054, 627, 17, 13, 5810, 596, 350, 8548, 13, 1306, 279, 1847, 13, 4702, 92044, 25, 330, 3923, 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 ]
[ 128000, 16384, 1003, 20948, 25, 14689, 596, 12873, 7411, 17459, 287, 502, 5627, 311, 9229, 198, 1383, 92746, 13972, 198, 93756, 13482, 14689, 198, 34827, 220, 1313, 11, 220, 679, 15, 198, 4054, 315, 279, 1176, 9141, 3953, 358, 5602, 304, 1732, 1566, 6287, 1198, 279, 4948, 832, 11, 422, 856, 5044, 17482, 757, 12722, 1198, 4024, 264, 2697, 1093, 420, 25, 64929, 32949, 11, 64929, 32949, 11, 41276, 42216, 3872, 13054, 311, 10335, 16684, 64457, 11, 459, 653, 84798, 323, 2753, 48754, 53421, 8096, 71362, 3872, 73557, 311, 64929, 2132, 43942, 9232, 11, 64929, 3243, 627, 16, 13, 4800, 430, 279, 12873, 3280, 374, 304, 1202, 14841, 1629, 11, 264, 5743, 315, 1884, 2574, 1541, 956, 5052, 13, 362, 5743, 1053, 26456, 439, 12018, 2548, 5967, 287, 13, 11519, 71362, 2643, 387, 279, 32966, 13, 8442, 13030, 374, 10494, 279, 64929, 505, 1694, 279, 12047, 2128, 304, 279, 12873, 13, 42216, 3872, 10283, 315, 33606, 311, 350, 8548, 2637, 719, 1455, 315, 1124, 2586, 449, 279, 64929, 1523, 2466, 3585, 13, 578, 64929, 1051, 709, 2466, 3585, 2403, 32489, 1198, 10035, 11, 279, 46740, 1198, 1603, 279, 64929, 3940, 5737, 1093, 279, 3907, 315, 32489, 323, 3794, 1206, 18838, 555, 1063, 7564, 7086, 14129, 11605, 13, 3011, 596, 1457, 8254, 7833, 18151, 369, 264, 2128, 430, 6052, 1120, 922, 16470, 505, 264, 2128, 430, 10837, 279, 64636, 4892, 2007, 1566, 1060, 11, 3779, 350, 8548, 13, 323, 1063, 31625, 10094, 323, 3782, 1139, 279, 1060, 7422, 2466, 13, 2435, 3077, 1457, 17551, 832, 2216, 11, 2216, 2466, 357, 771, 13054, 627, 17, 13, 5810, 596, 350, 8548, 13, 1306, 279, 1847, 13, 4702, 92044, 25, 330, 3923, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 17561, 19941, 315, 6617, 7665, 72061, 15922, 311, 430, 505, 14154, 10688, 315, 2225, 4275, 66470, 2138, 388, 323, 36931, 5364, 288, 66470, 40827, 2427, 1894, 388, 706, 6982, 430, 279, 4275, 66470, 20957, 1051, 3117, 810, 4528, 311, 51607, 3432, 1109, 279, 40827, 2427, 1894, 388, 430, 53580, 1124, 510, 1032, 12, 845, 948, 1115, 374, 1101, 70137, 304, 6029, 505, 6492, 315, 816, 11843, 442, 58375, 304, 279, 1890, 22673, 16853, 791, 14154, 15922, 505, 1057, 4040, 10688, 4131, 505, 220, 1627, 23591, 4275, 66470, 7931, 13, 4314, 7931, 1051, 1766, 520, 2380, 2204, 6732, 4028, 3118, 11477, 18516, 323, 16642, 10057, 520, 279, 6732, 315, 20442, 655, 45378, 6354, 263, 406, 2076, 31202, 11, 468, 22970, 24836, 83, 11, 323, 735, 1590, 91099, 13, 4314, 6732, 3629, 1047, 62281, 1766, 304, 32546, 449, 279, 8625, 315, 23162, 1317, 2902, 20340, 13, 18825, 315, 1521, 7931, 706, 6982, 1124, 311, 387, 961, 315, 264, 15499, 14228, 1912, 315, 20957, 505, 279, 1890, 892, 4261, 9041, 4028, 24950, 505, 43876, 311, 439, 3117, 3201, 439, 18157, 662, 4314, 1274, 1051, 12742, 505, 20957, 315, 3010, 4261, 304, 279, 3158, 430, 5602, 264, 17876, 12172, 315, 32538, 5108, 505, 279, 6460, 304, 1148, 374, 1457, 8524, 13, 578, 1455, 4279, 816, 46900, 848, 896, 505, 420, 6205, 574, 480, 17, 64, 13, 1115, 46900, 848, 896, 44853, 304, 279, 12877, 6460, 323, 374, 279, 1455, 4279, 46900, 75, 4166, 4315, 5496, 32538, 315, 4606, 3432, 662, 22515, 47517, 6757, 6029, 5039, 279, 1455, 4279, 46900, 848, 89510, 1051, 452, 16, 64, 323, 350, 11, 2225, 315, 902, 617, 12877, 18516, 6371, 323, 527, 4332, 6957, 4606, 323, 4892, 10384, 3432, 662, 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 ]
[ 128000, 17561, 19941, 315, 6617, 7665, 72061, 15922, 311, 430, 505, 14154, 10688, 315, 2225, 4275, 66470, 2138, 388, 323, 36931, 5364, 288, 66470, 40827, 2427, 1894, 388, 706, 6982, 430, 279, 4275, 66470, 20957, 1051, 3117, 810, 4528, 311, 51607, 3432, 1109, 279, 40827, 2427, 1894, 388, 430, 53580, 1124, 510, 1032, 12, 845, 948, 1115, 374, 1101, 70137, 304, 6029, 505, 6492, 315, 816, 11843, 442, 58375, 304, 279, 1890, 22673, 16853, 791, 14154, 15922, 505, 1057, 4040, 10688, 4131, 505, 220, 1627, 23591, 4275, 66470, 7931, 13, 4314, 7931, 1051, 1766, 520, 2380, 2204, 6732, 4028, 3118, 11477, 18516, 323, 16642, 10057, 520, 279, 6732, 315, 20442, 655, 45378, 6354, 263, 406, 2076, 31202, 11, 468, 22970, 24836, 83, 11, 323, 735, 1590, 91099, 13, 4314, 6732, 3629, 1047, 62281, 1766, 304, 32546, 449, 279, 8625, 315, 23162, 1317, 2902, 20340, 13, 18825, 315, 1521, 7931, 706, 6982, 1124, 311, 387, 961, 315, 264, 15499, 14228, 1912, 315, 20957, 505, 279, 1890, 892, 4261, 9041, 4028, 24950, 505, 43876, 311, 439, 3117, 3201, 439, 18157, 662, 4314, 1274, 1051, 12742, 505, 20957, 315, 3010, 4261, 304, 279, 3158, 430, 5602, 264, 17876, 12172, 315, 32538, 5108, 505, 279, 6460, 304, 1148, 374, 1457, 8524, 13, 578, 1455, 4279, 816, 46900, 848, 896, 505, 420, 6205, 574, 480, 17, 64, 13, 1115, 46900, 848, 896, 44853, 304, 279, 12877, 6460, 323, 374, 279, 1455, 4279, 46900, 75, 4166, 4315, 5496, 32538, 315, 4606, 3432, 662, 22515, 47517, 6757, 6029, 5039, 279, 1455, 4279, 46900, 848, 89510, 1051, 452, 16, 64, 323, 350, 11, 2225, 315, 902, 617, 12877, 18516, 6371, 323, 527, 4332, 6957, 4606, 323, 4892, 10384, 3432, 662, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 4599, 578, 8618, 6773, 311, 1935, 264, 12401, 1427, 520, 279, 828, 5942, 2671, 389, 3085, 11, 32437, 70, 2504, 82, 12432, 11, 6941, 350, 2177, 616, 11, 7111, 520, 279, 2956, 84874, 4953, 320, 1170, 40, 8, 32072, 627, 38684, 872, 3802, 374, 220, 7467, 87242, 430, 753, 389, 1370, 449, 279, 7752, 922, 719, 430, 1243, 9221, 279, 4017, 439, 499, 617, 311, 10299, 682, 279, 14463, 13, 763, 2144, 1070, 374, 1633, 2697, 6811, 304, 279, 2027, 311, 279, 1403, 6164, 304, 420, 3157, 11, 1666, 716, 64, 323, 7220, 5485, 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 ]
[ 128000, 4599, 578, 8618, 6773, 311, 1935, 264, 12401, 1427, 520, 279, 828, 5942, 2671, 389, 3085, 11, 32437, 70, 2504, 82, 12432, 11, 6941, 350, 2177, 616, 11, 7111, 520, 279, 2956, 84874, 4953, 320, 1170, 40, 8, 32072, 627, 38684, 872, 3802, 374, 220, 7467, 87242, 430, 753, 389, 1370, 449, 279, 7752, 922, 719, 430, 1243, 9221, 279, 4017, 439, 499, 617, 311, 10299, 682, 279, 14463, 13, 763, 2144, 1070, 374, 1633, 2697, 6811, 304, 279, 2027, 311, 279, 1403, 6164, 304, 420, 3157, 11, 1666, 716, 64, 323, 7220, 5485, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 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, 1688, 3325, 220, 1032, 7487, 1051, 7577, 323, 22700, 15902, 994, 264, 28725, 44913, 520, 264, 60718, 8803, 304, 39601, 389, 7159, 11, 78214, 1555, 279, 4848, 46199, 4857, 323, 14718, 264, 13651, 315, 433, 311, 18678, 627, 65849, 617, 1457, 2663, 1022, 279, 2778, 369, 32696, 13, 578, 4648, 26936, 574, 539, 5190, 1606, 1455, 315, 279, 8803, 753, 220, 20, 11, 931, 60718, 7487, 1051, 389, 13560, 323, 539, 304, 279, 4857, 11, 7510, 2019, 627, 27588, 359, 324, 60483, 307, 11, 264, 12128, 520, 279, 8803, 11, 2795, 279, 28725, 753, 7296, 3177, 574, 50857, 8137, 11, 719, 279, 3756, 753, 20197, 28478, 1124, 1070, 574, 4400, 311, 11196, 922, 11, 4184, 311, 6821, 304, 279, 39601, 3754, 3772, 627, 99513, 288, 1934, 279, 21327, 44092, 14365, 11, 11276, 11, 26953, 323, 264, 3857, 315, 279, 2132, 6558, 7147, 11, 682, 315, 902, 4024, 70863, 627, 791, 6136, 304, 279, 44392, 72977, 13076, 9474, 374, 13234, 555, 14290, 22950, 333, 3518, 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 ]
[ 128000, 1688, 3325, 220, 1032, 7487, 1051, 7577, 323, 22700, 15902, 994, 264, 28725, 44913, 520, 264, 60718, 8803, 304, 39601, 389, 7159, 11, 78214, 1555, 279, 4848, 46199, 4857, 323, 14718, 264, 13651, 315, 433, 311, 18678, 627, 65849, 617, 1457, 2663, 1022, 279, 2778, 369, 32696, 13, 578, 4648, 26936, 574, 539, 5190, 1606, 1455, 315, 279, 8803, 753, 220, 20, 11, 931, 60718, 7487, 1051, 389, 13560, 323, 539, 304, 279, 4857, 11, 7510, 2019, 627, 27588, 359, 324, 60483, 307, 11, 264, 12128, 520, 279, 8803, 11, 2795, 279, 28725, 753, 7296, 3177, 574, 50857, 8137, 11, 719, 279, 3756, 753, 20197, 28478, 1124, 1070, 574, 4400, 311, 11196, 922, 11, 4184, 311, 6821, 304, 279, 39601, 3754, 3772, 627, 99513, 288, 1934, 279, 21327, 44092, 14365, 11, 11276, 11, 26953, 323, 264, 3857, 315, 279, 2132, 6558, 7147, 11, 682, 315, 902, 4024, 70863, 627, 791, 6136, 304, 279, 44392, 72977, 13076, 9474, 374, 13234, 555, 14290, 22950, 333, 3518, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 72772, 11452, 28734, 46672, 304, 2010, 6474, 24685, 369, 20142, 11, 16483, 11, 29509, 11, 323, 1023, 2626, 15749, 3411, 369, 44461, 7397, 315, 5694, 430, 2559, 704, 13, 11452, 28734, 16759, 706, 1027, 10658, 59234, 304, 279, 15718, 4029, 369, 279, 3347, 8223, 1667, 6968, 264, 2768, 430, 436, 4798, 922, 1057, 5448, 13, 1442, 499, 3207, 8173, 304, 6376, 709, 459, 18101, 11, 4587, 4034, 1057, 4033, 3997, 1405, 499, 649, 1684, 1057, 14519, 11, 20136, 11, 323, 4048, 810, 922, 1148, 584, 3085, 13, 2052, 59234, 527, 555, 29335, 24668, 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 ]
[ 128000, 72772, 11452, 28734, 46672, 304, 2010, 6474, 24685, 369, 20142, 11, 16483, 11, 29509, 11, 323, 1023, 2626, 15749, 3411, 369, 44461, 7397, 315, 5694, 430, 2559, 704, 13, 11452, 28734, 16759, 706, 1027, 10658, 59234, 304, 279, 15718, 4029, 369, 279, 3347, 8223, 1667, 6968, 264, 2768, 430, 436, 4798, 922, 1057, 5448, 13, 1442, 499, 3207, 8173, 304, 6376, 709, 459, 18101, 11, 4587, 4034, 1057, 4033, 3997, 1405, 499, 649, 1684, 1057, 14519, 11, 20136, 11, 323, 4048, 810, 922, 1148, 584, 3085, 13, 2052, 59234, 527, 555, 29335, 24668, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 ]
96
[ 128000, 1687, 682, 1440, 555, 1457, 1268, 3958, 10780, 1047, 433, 449, 420, 12688, 596, 25685, 87627, 323, 1268, 1274, 1051, 304, 1972, 8137, 13, 8489, 10780, 4379, 6051, 6004, 2547, 11860, 2835, 315, 9808, 13208, 7623, 264, 893, 889, 11299, 1139, 43318, 11940, 14972, 13, 2435, 14454, 264, 3823, 8957, 311, 636, 1461, 704, 323, 311, 5766, 1023, 9808, 16054, 304, 13, 578, 7564, 1047, 1027, 11689, 813, 5679, 994, 433, 10837, 1022, 323, 11299, 1139, 279, 3090, 13, 578, 893, 62920, 1306, 279, 5679, 11, 45433, 433, 323, 11299, 304, 5678, 13, 19173, 568, 7846, 956, 12731, 279, 20268, 22553, 389, 813, 1866, 13, 1283, 574, 3025, 311, 1650, 4379, 369, 1520, 3235, 449, 264, 83483, 261, 13, 10771, 311, 264, 1934, 11, 813, 2547, 9499, 2751, 1523, 311, 220, 6365, 12628, 11, 902, 374, 3345, 311, 9950, 1605, 91299, 13, 10289, 2019, 568, 574, 57371, 323, 814, 1047, 311, 1180, 5043, 311, 17629, 279, 893, 13, 48600, 814, 1550, 0, 1472, 649, 636, 264, 2867, 1427, 520, 279, 17629, 6041, 520, 220, 15, 25, 2790, 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 ]
[ 128000, 1687, 682, 1440, 555, 1457, 1268, 3958, 10780, 1047, 433, 449, 420, 12688, 596, 25685, 87627, 323, 1268, 1274, 1051, 304, 1972, 8137, 13, 8489, 10780, 4379, 6051, 6004, 2547, 11860, 2835, 315, 9808, 13208, 7623, 264, 893, 889, 11299, 1139, 43318, 11940, 14972, 13, 2435, 14454, 264, 3823, 8957, 311, 636, 1461, 704, 323, 311, 5766, 1023, 9808, 16054, 304, 13, 578, 7564, 1047, 1027, 11689, 813, 5679, 994, 433, 10837, 1022, 323, 11299, 1139, 279, 3090, 13, 578, 893, 62920, 1306, 279, 5679, 11, 45433, 433, 323, 11299, 304, 5678, 13, 19173, 568, 7846, 956, 12731, 279, 20268, 22553, 389, 813, 1866, 13, 1283, 574, 3025, 311, 1650, 4379, 369, 1520, 3235, 449, 264, 83483, 261, 13, 10771, 311, 264, 1934, 11, 813, 2547, 9499, 2751, 1523, 311, 220, 6365, 12628, 11, 902, 374, 3345, 311, 9950, 1605, 91299, 13, 10289, 2019, 568, 574, 57371, 323, 814, 1047, 311, 1180, 5043, 311, 17629, 279, 893, 13, 48600, 814, 1550, 0, 1472, 649, 636, 264, 2867, 1427, 520, 279, 17629, 6041, 520, 220, 15, 25, 2790, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 322, 7030, 25, 9558, 4919, 571, 3788, 1129, 5316, 916, 39165, 4919, 14, 2356, 84245, 11151, 592, 198, 322, 1901, 6151, 17156, 25, 3788, 1129, 2185, 4025, 6151, 17156, 916, 88784, 39165, 4919, 271, 6517, 12761, 341, 262, 6814, 5279, 659, 16635, 6714, 34064, 18139, 25, 602, 843, 11, 1314, 25, 602, 843, 8, 1492, 11564, 22659, 843, 29, 341, 286, 1095, 2160, 284, 320, 2414, 497, 28, 1315, 570, 5428, 23236, 5, 87, 91, 341, 310, 1095, 5318, 721, 87, 284, 865, 280, 310, 1095, 5318, 50802, 284, 837, 280, 310, 1418, 2551, 87, 871, 220, 15, 8, 341, 394, 422, 2551, 87, 1034, 220, 605, 624, 220, 15, 1393, 320, 87, 1034, 5570, 87, 1034, 220, 605, 595, 976, 220, 15, 8, 341, 504, 50802, 284, 905, 280, 504, 1464, 280, 394, 457, 394, 721, 87, 16860, 220, 605, 280, 310, 457, 310, 50802, 198, 286, 8701, 17840, 545, 286, 2160, 198, 262, 457, 633, 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 ]
[ 128000, 322, 7030, 25, 9558, 4919, 571, 3788, 1129, 5316, 916, 39165, 4919, 14, 2356, 84245, 11151, 592, 198, 322, 1901, 6151, 17156, 25, 3788, 1129, 2185, 4025, 6151, 17156, 916, 88784, 39165, 4919, 271, 6517, 12761, 341, 262, 6814, 5279, 659, 16635, 6714, 34064, 18139, 25, 602, 843, 11, 1314, 25, 602, 843, 8, 1492, 11564, 22659, 843, 29, 341, 286, 1095, 2160, 284, 320, 2414, 497, 28, 1315, 570, 5428, 23236, 5, 87, 91, 341, 310, 1095, 5318, 721, 87, 284, 865, 280, 310, 1095, 5318, 50802, 284, 837, 280, 310, 1418, 2551, 87, 871, 220, 15, 8, 341, 394, 422, 2551, 87, 1034, 220, 605, 624, 220, 15, 1393, 320, 87, 1034, 5570, 87, 1034, 220, 605, 595, 976, 220, 15, 8, 341, 504, 50802, 284, 905, 280, 504, 1464, 280, 394, 457, 394, 721, 87, 16860, 220, 605, 280, 310, 457, 310, 50802, 198, 286, 8701, 17840, 545, 286, 2160, 198, 262, 457, 633, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 37, 4193, 458, 1630, 57496, 627, 37, 4193, 458, 1630, 28439, 320, 16786, 50, 8, 374, 459, 28088, 3044, 902, 18911, 449, 14595, 88979, 11, 48006, 323, 7106, 5435, 627, 10172, 25265, 58, 16, 11, 220, 17, 933, 16786, 50, 374, 279, 1455, 4279, 5353, 315, 1877, 55514, 11, 4689, 6975, 28353, 13, 1102, 374, 832, 315, 264, 1396, 315, 13454, 14800, 24673, 13, 763, 15922, 11058, 433, 374, 4279, 311, 1518, 11763, 24630, 315, 279, 31484, 354, 3422, 430, 1304, 709, 279, 19465, 42589, 13, 763, 30001, 50, 1070, 374, 459, 14800, 315, 279, 1396, 315, 13454, 24630, 304, 279, 45350, 1630, 10723, 77072, 367, 320, 37, 18953, 16, 8, 15207, 13, 1115, 15207, 374, 389, 279, 1630, 51815, 320, 55, 80, 1591, 570, 578, 31484, 354, 3422, 6532, 527, 9693, 43681, 483, 320, 34, 8, 323, 1709, 92356, 320, 38, 8, 323, 279, 11763, 8668, 374, 6290, 38, 13, 763, 279, 1455, 4279, 1376, 315, 279, 3044, 11, 279, 6290, 38, 8668, 374, 11763, 810, 1109, 220, 1049, 3115, 13, 578, 41861, 1121, 315, 420, 374, 311, 2565, 5788, 315, 264, 20278, 2663, 45350, 1630, 10723, 77072, 367, 13128, 320, 37, 18953, 47, 4390, 644, 4725, 1274, 279, 490, 258, 22935, 69044, 8668, 374, 11763, 220, 21, 12, 4370, 3115, 13, 9029, 304, 8884, 279, 8668, 374, 11763, 927, 220, 1049, 3115, 617, 279, 2539, 27472, 11, 902, 11384, 264, 48294, 304, 435, 18953, 47, 323, 28592, 279, 2539, 14830, 28439, 13, 1442, 1070, 527, 1990, 220, 2131, 323, 220, 1049, 44694, 11, 1070, 1253, 387, 264, 330, 1762, 32071, 3343, 763, 1521, 7931, 11, 435, 18953, 47, 374, 9124, 719, 1070, 374, 264, 5326, 315, 14800, 304, 17876, 22540, 13, 578, 6954, 23539, 98260, 1101, 49843, 264, 5326, 315, 5938, 45350, 31650, 24673, 320, 34298, 458, 1630, 75968, 18659, 269, 14, 460, 68294, 19823, 323, 45350, 1630, 75968, 6156, 85542, 1672, 1386, 10603, 4390, 36, 10629, 22530, 2508, 198, 32, 6560, 23061, 4007, 304, 220, 1049, 18, 13240, 459, 8244, 38009, 315, 30001, 50, 304, 279, 4689, 7187, 315, 220, 17, 13, 18, 14, 605, 11, 931, 320, 269, 220, 16, 304, 220, 19, 11, 17837, 94638, 18, 933, 11663, 17989, 4284, 433, 374, 3118, 304, 220, 16, 304, 220, 19, 11, 931, 25000, 323, 220, 16, 304, 220, 23, 11, 931, 28585, 719, 430, 420, 1253, 387, 459, 1234, 478, 5582, 13, 5075, 838, 768, 14117, 389, 279, 7187, 20041, 627, 791, 6954, 23539, 374, 3117, 810, 4279, 13, 9220, 311, 3116, 3115, 439, 1690, 28585, 439, 25000, 6920, 279, 15207, 35663, 488, 13, 1115, 706, 459, 13240, 38009, 315, 220, 16, 304, 220, 5894, 12, 11387, 28585, 323, 220, 16, 304, 220, 5154, 12, 19232, 25000, 8032, 19, 933, 56339, 58, 20, 933, 12, 1556, 3927, 449, 30001, 50, 11383, 706, 6975, 27129, 320, 63050, 2753, 1109, 220, 2031, 8, 323, 23540, 69376, 11, 3235, 449, 14595, 7106, 4519, 1778, 439, 264, 1579, 52354, 11, 3544, 1296, 4440, 320, 17, 12, 18, 3115, 4725, 1404, 705, 28900, 54395, 33342, 11, 264, 3544, 16942, 323, 1317, 25212, 627, 12, 2684, 1253, 387, 4519, 4245, 311, 4442, 304, 4667, 535, 20438, 2737, 21102, 25212, 11, 17508, 428, 37864, 14654, 35358, 11, 5568, 3545, 32530, 29520, 7629, 11, 8579, 6930, 323, 10269, 7693, 627, 12, 2684, 1253, 387, 5938, 18547, 14228, 13803, 2737, 84132, 63250, 58921, 323, 74078, 1413, 71177, 11, 14604, 326, 2968, 323, 19738, 477, 659, 43085, 47819, 71177, 13, 9947, 1599, 7724, 323, 3278, 527, 810, 4461, 311, 617, 5435, 449, 559, 1910, 434, 477, 3674, 30836, 13, 763, 1063, 5157, 11, 1884, 11754, 1253, 1101, 617, 264, 23842, 315, 6666, 29287, 17508, 7323, 19823, 320, 1846, 19694, 8, 477, 459, 38281, 20326, 19823, 13, 33916, 220, 966, 4, 315, 11754, 25000, 617, 38281, 323, 439, 1690, 1578, 1253, 617, 459, 38281, 20326, 19823, 8032, 17, 11, 220, 21, 933, 12, 7089, 13803, 1253, 2997, 1450, 12556, 3713, 11, 59177, 6299, 11, 78057, 1918, 11, 65411, 315, 36496, 11, 55998, 323, 6212, 65858, 627, 12, 29362, 8982, 24673, 1253, 2997, 31972, 337, 19379, 323, 74078, 367, 320, 1820, 38550, 311, 4686, 264, 11914, 4245, 311, 54515, 315, 4339, 520, 279, 842, 315, 264, 17571, 4390, 791, 23842, 374, 6118, 1903, 555, 279, 4325, 315, 220, 18, 4245, 311, 7781, 304, 93965, 315, 48006, 69376, 627, 35, 69757, 23842, 198, 12, 7089, 11384, 315, 4689, 6975, 28353, 627, 12, 7089, 22083, 96108, 75815, 14718, 6975, 17250, 11, 1778, 439, 6419, 596, 28439, 323, 1023, 1877, 51815, 75559, 1778, 439, 735, 1074, 69, 18354, 596, 28439, 11, 432, 7211, 28439, 323, 445, 9832, 276, 7424, 894, 4511, 28439, 627, 12, 328, 8160, 28439, 627, 12, 52564, 627, 12, 9648, 4633, 20326, 19823, 627, 12, 2947, 31278, 596, 28439, 627, 34976, 343, 811, 198, 12, 362, 11944, 3070, 3925, 374, 5505, 439, 1070, 1253, 387, 4519, 4028, 279, 22540, 315, 6954, 23539, 627, 12, 362, 6680, 6205, 320, 269, 70356, 21427, 9077, 355, 99647, 8, 649, 387, 3288, 369, 15922, 6492, 13, 7648, 70760, 5131, 1005, 264, 10824, 315, 16642, 81982, 1303, 320, 62343, 82, 2539, 34684, 8, 323, 47393, 521, 8957, 13010, 320, 74256, 8, 7649, 320, 1748, 9803, 864, 1474, 83241, 323, 9333, 6290, 38, 44694, 570, 16642, 81982, 1303, 18065, 51051, 15922, 3769, 505, 459, 70479, 18316, 389, 311, 264, 39654, 13, 10085, 22761, 4692, 285, 9435, 311, 420, 39654, 649, 1243, 387, 1511, 311, 10765, 264, 4040, 15922, 8668, 13, 67791, 374, 1511, 439, 47393, 521, 49242, 311, 97168, 264, 4040, 15922, 5654, 11, 3339, 22654, 8831, 627, 12, 362, 74013, 315, 420, 15105, 11, 1701, 2107, 35605, 1957, 311, 8821, 15922, 35603, 315, 61469, 1404, 11, 20682, 279, 11295, 7649, 315, 3544, 5219, 315, 10688, 11, 3339, 279, 1749, 14791, 439, 264, 46397, 23061, 1296, 8032, 22, 11, 220, 23, 933, 23030, 58, 24, 11, 220, 605, 933, 3947, 374, 5131, 912, 27208, 369, 30001, 50, 719, 264, 1396, 315, 36449, 5848, 11, 88979, 323, 25702, 39455, 1253, 7417, 4367, 315, 2324, 627, 1090, 651, 64801, 2997, 512, 12, 39841, 15419, 627, 12, 9984, 3966, 6873, 627, 12, 80354, 278, 15419, 627, 12, 71872, 360, 1821, 1778, 439, 294, 428, 299, 309, 119123, 20588, 323, 79574, 15112, 307, 349, 369, 1884, 449, 5938, 52564, 627, 12, 8593, 535, 77130, 312, 7717, 731, 68642, 320, 1242, 49, 3957, 8, 369, 13803, 315, 18547, 627, 12, 6898, 3153, 5759, 51003, 369, 20247, 27276, 8082, 11, 18899, 6666, 323, 18189, 18547, 482, 8104, 264, 4664, 575, 8875, 1286, 627, 12, 6898, 1965, 85, 14630, 1821, 1405, 55998, 527, 3118, 627, 12, 75226, 83781, 323, 1862, 315, 279, 6699, 323, 1023, 3070, 3697, 627, 3947, 374, 1633, 2697, 6029, 369, 279, 41265, 315, 904, 315, 279, 36449, 5848, 477, 88979, 52312, 17037, 1511, 8032, 806, 11, 220, 717, 11, 220, 1032, 933, 25184, 27949, 11, 4869, 11, 1427, 311, 617, 4754, 13, 362, 1396, 315, 26455, 17550, 14830, 19622, 304, 3293, 1667, 617, 1047, 39223, 3135, 4245, 311, 264, 1396, 315, 9547, 2737, 3977, 14345, 22583, 14, 19740, 5706, 315, 1884, 449, 30001, 50, 11, 17250, 304, 30090, 20124, 323, 6996, 315, 14807, 315, 3135, 304, 52033, 29852, 24548, 311, 12966, 13, 13620, 3171, 369, 902, 19622, 617, 1027, 8308, 449, 39223, 3135, 617, 20034, 311, 5719, 279, 435, 18953, 47, 11811, 323, 8617, 15301, 3521, 7709, 18480, 5923, 10843, 91977, 44014, 13, 4314, 2997, 20208, 79432, 35169, 92166, 35268, 220, 20, 43215, 1705, 11, 1871, 39457, 11, 57907, 11, 480, 57650, 61762, 332, 92166, 4725, 62380, 11, 1332, 511, 6310, 483, 323, 1645, 87348, 523, 37737, 5302, 521, 68642, 13, 435, 34166, 15419, 706, 1027, 6818, 304, 279, 3347, 323, 574, 279, 3917, 315, 264, 3623, 17207, 2194, 3477, 304, 220, 679, 16, 719, 279, 6029, 2385, 574, 1766, 311, 387, 8009, 323, 912, 31342, 1436, 387, 15107, 8032, 975, 933, 2170, 8830, 315, 279, 3560, 435, 18953, 47, 11335, 520, 35693, 323, 31206, 2237, 9731, 311, 7417, 26, 4726, 2218, 6108, 52312, 527, 47397, 19622, 627, 1360, 5010, 10934, 198, 3947, 374, 912, 2875, 6147, 315, 2324, 66995, 13, 95709, 304, 4689, 35327, 449, 279, 8547, 315, 20207, 28353, 323, 7645, 315, 1023, 17910, 11, 902, 13592, 13882, 627, 4808, 7611, 198, 791, 6560, 5165, 70189, 47516, 10554, 6773, 539, 311, 44798, 264, 5426, 46397, 23061, 18629, 320, 33327, 220, 679, 16, 570, 50487, 304, 279, 7427, 11, 30001, 50, 374, 539, 961, 315, 279, 46397, 23061, 18629, 719, 420, 8625, 264, 20733, 4360, 8032, 868, 933, 34814, 11, 279, 4947, 374, 311, 9067, 23061, 311, 19115, 22654, 2949, 11754, 8689, 13, 1102, 1253, 1101, 387, 48776, 23061, 2911, 449, 6975, 27129, 11, 38178, 311, 10765, 810, 8689, 323, 311, 7431, 35991, 311, 617, 97128, 83781, 627, 31428, 5403, 323, 15407, 198, 7058, 50, 774, 3458, 435, 11, 17781, 356, 11, 29346, 473, 26, 5659, 435, 18953, 47, 734, 311, 4754, 52312, 369, 45350, 1630, 28439, 13, 32359, 2464, 1838, 13, 220, 679, 19, 12044, 2137, 7, 21, 1680, 4645, 21, 12, 2148, 13, 36995, 25, 220, 605, 13, 1041, 22, 2754, 5120, 1227, 12, 16368, 12, 8259, 24, 12, 18, 13, 469, 9780, 220, 679, 18, 3799, 220, 972, 627, 85031, 661, 47514, 11, 31248, 71430, 26, 23591, 22654, 315, 38281, 304, 45350, 1630, 28439, 25, 264, 3477, 13, 622, 15984, 772, 4185, 13052, 1838, 13, 220, 679, 18, 17907, 3226, 7, 24, 1680, 20899, 12, 975, 13, 36995, 25, 220, 605, 13, 5037, 16, 4537, 13, 9795, 20, 12, 16949, 23, 13, 679, 17, 13, 15794, 2545, 2036, 13, 469, 9780, 220, 679, 17, 17907, 220, 975, 627, 46521, 816, 11, 70381, 1630, 26, 63798, 1082, 3477, 25, 59189, 458, 1630, 28896, 304, 19646, 2849, 13709, 323, 60038, 13, 81948, 59190, 13, 220, 679, 19, 10263, 843, 7, 22, 1680, 10861, 19, 12, 1644, 13, 36995, 25, 220, 605, 13, 1041, 17, 14607, 336, 13, 11739, 23, 627, 4357, 100098, 432, 11, 16870, 2382, 9362, 11, 473, 1435, 1543, 77404, 26, 59189, 458, 1630, 20326, 24673, 13, 763, 2193, 481, 36059, 4185, 1838, 13, 220, 679, 19, 4723, 18, 220, 10005, 1774, 7, 23, 1680, 21962, 12, 24, 13, 36995, 25, 220, 605, 13, 8190, 21, 4537, 12591, 13, 1049, 23, 13, 27033, 22913, 13, 469, 9780, 220, 1049, 23, 5186, 220, 868, 627, 1163, 263, 46181, 7911, 468, 11, 54887, 362, 11, 473, 1435, 1543, 77404, 26, 59189, 458, 1630, 25, 264, 3070, 315, 24673, 13, 12605, 19878, 10574, 81, 13, 220, 1049, 26067, 25, 10680, 12, 4218, 13, 36995, 25, 220, 605, 13, 4645, 21, 4537, 2441, 391, 67, 13, 1049, 24, 13, 2318, 13, 11436, 627, 54, 526, 56841, 11, 44685, 16222, 81, 23156, 469, 11, 473, 1435, 1543, 77404, 26, 59189, 458, 1630, 25, 6522, 279, 1648, 369, 17550, 22972, 304, 38281, 13, 32359, 700, 88886, 13, 220, 679, 15, 10263, 22, 7, 18, 1680, 12815, 12, 5728, 13, 36995, 25, 220, 605, 13, 4645, 21, 4537, 1276, 5757, 13, 679, 15, 13, 2304, 13, 8504, 627, 626, 442, 18582, 11, 59509, 423, 11, 14851, 816, 11, 1880, 453, 26, 11050, 315, 264, 11775, 11, 13687, 11, 28598, 11, 11295, 11, 1579, 43847, 631, 15105, 14791, 369, 7187, 6108, 19115, 23061, 369, 59189, 458, 1630, 28439, 13, 9500, 295, 3344, 13, 220, 1049, 22, 5186, 24, 7, 19, 1680, 2550, 12, 12060, 627, 51, 395, 606, 435, 11, 11233, 432, 11, 3383, 21336, 735, 11, 1880, 453, 26, 362, 11295, 47393, 521, 8957, 13010, 6108, 23061, 1749, 369, 22654, 315, 682, 17626, 98260, 315, 279, 45350, 1630, 320, 37, 18953, 16, 8, 15207, 304, 46397, 323, 1579, 46570, 22673, 13, 622, 33518, 7923, 3326, 13, 220, 1049, 23, 4448, 605, 7, 16, 1680, 3391, 12, 24, 13, 469, 9780, 220, 1049, 22, 3799, 220, 1591, 627, 33, 3326, 72, 356, 11, 350, 395, 606, 435, 11, 452, 31803, 480, 11, 1880, 453, 26, 59189, 458, 1630, 28439, 25, 11384, 11, 23842, 11, 24717, 11, 323, 9139, 88886, 13, 622, 18905, 13038, 13, 220, 679, 17, 3799, 8259, 7, 717, 1680, 19852, 19, 12, 1313, 13, 36995, 25, 220, 605, 13, 8546, 17, 32801, 11487, 21729, 3174, 13, 469, 9780, 220, 679, 17, 3799, 220, 18, 627, 31224, 6043, 809, 30715, 11, 423, 97976, 46660, 11, 81015, 942, 9362, 26, 86148, 36449, 39227, 6514, 2671, 369, 45350, 1630, 28439, 13, 58945, 18905, 9500, 295, 13, 220, 679, 20, 5186, 220, 2495, 25, 2075, 12, 6365, 13, 36995, 25, 220, 605, 13, 11584, 22, 17146, 1741, 38, 815, 18349, 5958, 13, 384, 6618, 220, 679, 20, 627, 72945, 18679, 26, 19409, 1392, 369, 45350, 1630, 28439, 25, 264, 12401, 1427, 520, 279, 828, 13, 6168, 4185, 13052, 1838, 10315, 13, 220, 1049, 22387, 7, 19, 1680, 17228, 12, 1399, 13, 36995, 25, 220, 605, 13, 1041, 17, 45981, 637, 13, 2495, 627, 39, 1435, 1543, 77404, 11, 44685, 16222, 81, 23156, 469, 11, 59254, 18022, 20255, 11, 1880, 453, 26, 91958, 304, 279, 6514, 315, 45350, 1630, 28439, 13, 99871, 13, 220, 1049, 24, 4448, 4513, 7, 16, 1680, 19166, 12, 1954, 13, 36995, 25, 220, 605, 13, 10559, 17, 4420, 6910, 13, 1049, 23, 12, 18887, 22, 627, 49, 3340, 64, 53666, 11, 426, 5164, 3751, 437, 622, 11, 2722, 73, 2649, 18983, 26, 744, 780, 3477, 315, 36449, 5848, 22972, 304, 45350, 1630, 28439, 13, 82806, 45950, 1098, 13, 220, 1049, 24, 5020, 220, 10125, 6028, 7, 18, 1680, 17306, 12, 24, 13, 36995, 25, 220, 605, 13, 1041, 16, 4537, 309, 2194, 84, 1098, 13, 679, 18, 13, 11738, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 37, 4193, 458, 1630, 57496, 627, 37, 4193, 458, 1630, 28439, 320, 16786, 50, 8, 374, 459, 28088, 3044, 902, 18911, 449, 14595, 88979, 11, 48006, 323, 7106, 5435, 627, 10172, 25265, 58, 16, 11, 220, 17, 933, 16786, 50, 374, 279, 1455, 4279, 5353, 315, 1877, 55514, 11, 4689, 6975, 28353, 13, 1102, 374, 832, 315, 264, 1396, 315, 13454, 14800, 24673, 13, 763, 15922, 11058, 433, 374, 4279, 311, 1518, 11763, 24630, 315, 279, 31484, 354, 3422, 430, 1304, 709, 279, 19465, 42589, 13, 763, 30001, 50, 1070, 374, 459, 14800, 315, 279, 1396, 315, 13454, 24630, 304, 279, 45350, 1630, 10723, 77072, 367, 320, 37, 18953, 16, 8, 15207, 13, 1115, 15207, 374, 389, 279, 1630, 51815, 320, 55, 80, 1591, 570, 578, 31484, 354, 3422, 6532, 527, 9693, 43681, 483, 320, 34, 8, 323, 1709, 92356, 320, 38, 8, 323, 279, 11763, 8668, 374, 6290, 38, 13, 763, 279, 1455, 4279, 1376, 315, 279, 3044, 11, 279, 6290, 38, 8668, 374, 11763, 810, 1109, 220, 1049, 3115, 13, 578, 41861, 1121, 315, 420, 374, 311, 2565, 5788, 315, 264, 20278, 2663, 45350, 1630, 10723, 77072, 367, 13128, 320, 37, 18953, 47, 4390, 644, 4725, 1274, 279, 490, 258, 22935, 69044, 8668, 374, 11763, 220, 21, 12, 4370, 3115, 13, 9029, 304, 8884, 279, 8668, 374, 11763, 927, 220, 1049, 3115, 617, 279, 2539, 27472, 11, 902, 11384, 264, 48294, 304, 435, 18953, 47, 323, 28592, 279, 2539, 14830, 28439, 13, 1442, 1070, 527, 1990, 220, 2131, 323, 220, 1049, 44694, 11, 1070, 1253, 387, 264, 330, 1762, 32071, 3343, 763, 1521, 7931, 11, 435, 18953, 47, 374, 9124, 719, 1070, 374, 264, 5326, 315, 14800, 304, 17876, 22540, 13, 578, 6954, 23539, 98260, 1101, 49843, 264, 5326, 315, 5938, 45350, 31650, 24673, 320, 34298, 458, 1630, 75968, 18659, 269, 14, 460, 68294, 19823, 323, 45350, 1630, 75968, 6156, 85542, 1672, 1386, 10603, 4390, 36, 10629, 22530, 2508, 198, 32, 6560, 23061, 4007, 304, 220, 1049, 18, 13240, 459, 8244, 38009, 315, 30001, 50, 304, 279, 4689, 7187, 315, 220, 17, 13, 18, 14, 605, 11, 931, 320, 269, 220, 16, 304, 220, 19, 11, 17837, 94638, 18, 933, 11663, 17989, 4284, 433, 374, 3118, 304, 220, 16, 304, 220, 19, 11, 931, 25000, 323, 220, 16, 304, 220, 23, 11, 931, 28585, 719, 430, 420, 1253, 387, 459, 1234, 478, 5582, 13, 5075, 838, 768, 14117, 389, 279, 7187, 20041, 627, 791, 6954, 23539, 374, 3117, 810, 4279, 13, 9220, 311, 3116, 3115, 439, 1690, 28585, 439, 25000, 6920, 279, 15207, 35663, 488, 13, 1115, 706, 459, 13240, 38009, 315, 220, 16, 304, 220, 5894, 12, 11387, 28585, 323, 220, 16, 304, 220, 5154, 12, 19232, 25000, 8032, 19, 933, 56339, 58, 20, 933, 12, 1556, 3927, 449, 30001, 50, 11383, 706, 6975, 27129, 320, 63050, 2753, 1109, 220, 2031, 8, 323, 23540, 69376, 11, 3235, 449, 14595, 7106, 4519, 1778, 439, 264, 1579, 52354, 11, 3544, 1296, 4440, 320, 17, 12, 18, 3115, 4725, 1404, 705, 28900, 54395, 33342, 11, 264, 3544, 16942, 323, 1317, 25212, 627, 12, 2684, 1253, 387, 4519, 4245, 311, 4442, 304, 4667, 535, 20438, 2737, 21102, 25212, 11, 17508, 428, 37864, 14654, 35358, 11, 5568, 3545, 32530, 29520, 7629, 11, 8579, 6930, 323, 10269, 7693, 627, 12, 2684, 1253, 387, 5938, 18547, 14228, 13803, 2737, 84132, 63250, 58921, 323, 74078, 1413, 71177, 11, 14604, 326, 2968, 323, 19738, 477, 659, 43085, 47819, 71177, 13, 9947, 1599, 7724, 323, 3278, 527, 810, 4461, 311, 617, 5435, 449, 559, 1910, 434, 477, 3674, 30836, 13, 763, 1063, 5157, 11, 1884, 11754, 1253, 1101, 617, 264, 23842, 315, 6666, 29287, 17508, 7323, 19823, 320, 1846, 19694, 8, 477, 459, 38281, 20326, 19823, 13, 33916, 220, 966, 4, 315, 11754, 25000, 617, 38281, 323, 439, 1690, 1578, 1253, 617, 459, 38281, 20326, 19823, 8032, 17, 11, 220, 21, 933, 12, 7089, 13803, 1253, 2997, 1450, 12556, 3713, 11, 59177, 6299, 11, 78057, 1918, 11, 65411, 315, 36496, 11, 55998, 323, 6212, 65858, 627, 12, 29362, 8982, 24673, 1253, 2997, 31972, 337, 19379, 323, 74078, 367, 320, 1820, 38550, 311, 4686, 264, 11914, 4245, 311, 54515, 315, 4339, 520, 279, 842, 315, 264, 17571, 4390, 791, 23842, 374, 6118, 1903, 555, 279, 4325, 315, 220, 18, 4245, 311, 7781, 304, 93965, 315, 48006, 69376, 627, 35, 69757, 23842, 198, 12, 7089, 11384, 315, 4689, 6975, 28353, 627, 12, 7089, 22083, 96108, 75815, 14718, 6975, 17250, 11, 1778, 439, 6419, 596, 28439, 323, 1023, 1877, 51815, 75559, 1778, 439, 735, 1074, 69, 18354, 596, 28439, 11, 432, 7211, 28439, 323, 445, 9832, 276, 7424, 894, 4511, 28439, 627, 12, 328, 8160, 28439, 627, 12, 52564, 627, 12, 9648, 4633, 20326, 19823, 627, 12, 2947, 31278, 596, 28439, 627, 34976, 343, 811, 198, 12, 362, 11944, 3070, 3925, 374, 5505, 439, 1070, 1253, 387, 4519, 4028, 279, 22540, 315, 6954, 23539, 627, 12, 362, 6680, 6205, 320, 269, 70356, 21427, 9077, 355, 99647, 8, 649, 387, 3288, 369, 15922, 6492, 13, 7648, 70760, 5131, 1005, 264, 10824, 315, 16642, 81982, 1303, 320, 62343, 82, 2539, 34684, 8, 323, 47393, 521, 8957, 13010, 320, 74256, 8, 7649, 320, 1748, 9803, 864, 1474, 83241, 323, 9333, 6290, 38, 44694, 570, 16642, 81982, 1303, 18065, 51051, 15922, 3769, 505, 459, 70479, 18316, 389, 311, 264, 39654, 13, 10085, 22761, 4692, 285, 9435, 311, 420, 39654, 649, 1243, 387, 1511, 311, 10765, 264, 4040, 15922, 8668, 13, 67791, 374, 1511, 439, 47393, 521, 49242, 311, 97168, 264, 4040, 15922, 5654, 11, 3339, 22654, 8831, 627, 12, 362, 74013, 315, 420, 15105, 11, 1701, 2107, 35605, 1957, 311, 8821, 15922, 35603, 315, 61469, 1404, 11, 20682, 279, 11295, 7649, 315, 3544, 5219, 315, 10688, 11, 3339, 279, 1749, 14791, 439, 264, 46397, 23061, 1296, 8032, 22, 11, 220, 23, 933, 23030, 58, 24, 11, 220, 605, 933, 3947, 374, 5131, 912, 27208, 369, 30001, 50, 719, 264, 1396, 315, 36449, 5848, 11, 88979, 323, 25702, 39455, 1253, 7417, 4367, 315, 2324, 627, 1090, 651, 64801, 2997, 512, 12, 39841, 15419, 627, 12, 9984, 3966, 6873, 627, 12, 80354, 278, 15419, 627, 12, 71872, 360, 1821, 1778, 439, 294, 428, 299, 309, 119123, 20588, 323, 79574, 15112, 307, 349, 369, 1884, 449, 5938, 52564, 627, 12, 8593, 535, 77130, 312, 7717, 731, 68642, 320, 1242, 49, 3957, 8, 369, 13803, 315, 18547, 627, 12, 6898, 3153, 5759, 51003, 369, 20247, 27276, 8082, 11, 18899, 6666, 323, 18189, 18547, 482, 8104, 264, 4664, 575, 8875, 1286, 627, 12, 6898, 1965, 85, 14630, 1821, 1405, 55998, 527, 3118, 627, 12, 75226, 83781, 323, 1862, 315, 279, 6699, 323, 1023, 3070, 3697, 627, 3947, 374, 1633, 2697, 6029, 369, 279, 41265, 315, 904, 315, 279, 36449, 5848, 477, 88979, 52312, 17037, 1511, 8032, 806, 11, 220, 717, 11, 220, 1032, 933, 25184, 27949, 11, 4869, 11, 1427, 311, 617, 4754, 13, 362, 1396, 315, 26455, 17550, 14830, 19622, 304, 3293, 1667, 617, 1047, 39223, 3135, 4245, 311, 264, 1396, 315, 9547, 2737, 3977, 14345, 22583, 14, 19740, 5706, 315, 1884, 449, 30001, 50, 11, 17250, 304, 30090, 20124, 323, 6996, 315, 14807, 315, 3135, 304, 52033, 29852, 24548, 311, 12966, 13, 13620, 3171, 369, 902, 19622, 617, 1027, 8308, 449, 39223, 3135, 617, 20034, 311, 5719, 279, 435, 18953, 47, 11811, 323, 8617, 15301, 3521, 7709, 18480, 5923, 10843, 91977, 44014, 13, 4314, 2997, 20208, 79432, 35169, 92166, 35268, 220, 20, 43215, 1705, 11, 1871, 39457, 11, 57907, 11, 480, 57650, 61762, 332, 92166, 4725, 62380, 11, 1332, 511, 6310, 483, 323, 1645, 87348, 523, 37737, 5302, 521, 68642, 13, 435, 34166, 15419, 706, 1027, 6818, 304, 279, 3347, 323, 574, 279, 3917, 315, 264, 3623, 17207, 2194, 3477, 304, 220, 679, 16, 719, 279, 6029, 2385, 574, 1766, 311, 387, 8009, 323, 912, 31342, 1436, 387, 15107, 8032, 975, 933, 2170, 8830, 315, 279, 3560, 435, 18953, 47, 11335, 520, 35693, 323, 31206, 2237, 9731, 311, 7417, 26, 4726, 2218, 6108, 52312, 527, 47397, 19622, 627, 1360, 5010, 10934, 198, 3947, 374, 912, 2875, 6147, 315, 2324, 66995, 13, 95709, 304, 4689, 35327, 449, 279, 8547, 315, 20207, 28353, 323, 7645, 315, 1023, 17910, 11, 902, 13592, 13882, 627, 4808, 7611, 198, 791, 6560, 5165, 70189, 47516, 10554, 6773, 539, 311, 44798, 264, 5426, 46397, 23061, 18629, 320, 33327, 220, 679, 16, 570, 50487, 304, 279, 7427, 11, 30001, 50, 374, 539, 961, 315, 279, 46397, 23061, 18629, 719, 420, 8625, 264, 20733, 4360, 8032, 868, 933, 34814, 11, 279, 4947, 374, 311, 9067, 23061, 311, 19115, 22654, 2949, 11754, 8689, 13, 1102, 1253, 1101, 387, 48776, 23061, 2911, 449, 6975, 27129, 11, 38178, 311, 10765, 810, 8689, 323, 311, 7431, 35991, 311, 617, 97128, 83781, 627, 31428, 5403, 323, 15407, 198, 7058, 50, 774, 3458, 435, 11, 17781, 356, 11, 29346, 473, 26, 5659, 435, 18953, 47, 734, 311, 4754, 52312, 369, 45350, 1630, 28439, 13, 32359, 2464, 1838, 13, 220, 679, 19, 12044, 2137, 7, 21, 1680, 4645, 21, 12, 2148, 13, 36995, 25, 220, 605, 13, 1041, 22, 2754, 5120, 1227, 12, 16368, 12, 8259, 24, 12, 18, 13, 469, 9780, 220, 679, 18, 3799, 220, 972, 627, 85031, 661, 47514, 11, 31248, 71430, 26, 23591, 22654, 315, 38281, 304, 45350, 1630, 28439, 25, 264, 3477, 13, 622, 15984, 772, 4185, 13052, 1838, 13, 220, 679, 18, 17907, 3226, 7, 24, 1680, 20899, 12, 975, 13, 36995, 25, 220, 605, 13, 5037, 16, 4537, 13, 9795, 20, 12, 16949, 23, 13, 679, 17, 13, 15794, 2545, 2036, 13, 469, 9780, 220, 679, 17, 17907, 220, 975, 627, 46521, 816, 11, 70381, 1630, 26, 63798, 1082, 3477, 25, 59189, 458, 1630, 28896, 304, 19646, 2849, 13709, 323, 60038, 13, 81948, 59190, 13, 220, 679, 19, 10263, 843, 7, 22, 1680, 10861, 19, 12, 1644, 13, 36995, 25, 220, 605, 13, 1041, 17, 14607, 336, 13, 11739, 23, 627, 4357, 100098, 432, 11, 16870, 2382, 9362, 11, 473, 1435, 1543, 77404, 26, 59189, 458, 1630, 20326, 24673, 13, 763, 2193, 481, 36059, 4185, 1838, 13, 220, 679, 19, 4723, 18, 220, 10005, 1774, 7, 23, 1680, 21962, 12, 24, 13, 36995, 25, 220, 605, 13, 8190, 21, 4537, 12591, 13, 1049, 23, 13, 27033, 22913, 13, 469, 9780, 220, 1049, 23, 5186, 220, 868, 627, 1163, 263, 46181, 7911, 468, 11, 54887, 362, 11, 473, 1435, 1543, 77404, 26, 59189, 458, 1630, 25, 264, 3070, 315, 24673, 13, 12605, 19878, 10574, 81, 13, 220, 1049, 26067, 25, 10680, 12, 4218, 13, 36995, 25, 220, 605, 13, 4645, 21, 4537, 2441, 391, 67, 13, 1049, 24, 13, 2318, 13, 11436, 627, 54, 526, 56841, 11, 44685, 16222, 81, 23156, 469, 11, 473, 1435, 1543, 77404, 26, 59189, 458, 1630, 25, 6522, 279, 1648, 369, 17550, 22972, 304, 38281, 13, 32359, 700, 88886, 13, 220, 679, 15, 10263, 22, 7, 18, 1680, 12815, 12, 5728, 13, 36995, 25, 220, 605, 13, 4645, 21, 4537, 1276, 5757, 13, 679, 15, 13, 2304, 13, 8504, 627, 626, 442, 18582, 11, 59509, 423, 11, 14851, 816, 11, 1880, 453, 26, 11050, 315, 264, 11775, 11, 13687, 11, 28598, 11, 11295, 11, 1579, 43847, 631, 15105, 14791, 369, 7187, 6108, 19115, 23061, 369, 59189, 458, 1630, 28439, 13, 9500, 295, 3344, 13, 220, 1049, 22, 5186, 24, 7, 19, 1680, 2550, 12, 12060, 627, 51, 395, 606, 435, 11, 11233, 432, 11, 3383, 21336, 735, 11, 1880, 453, 26, 362, 11295, 47393, 521, 8957, 13010, 6108, 23061, 1749, 369, 22654, 315, 682, 17626, 98260, 315, 279, 45350, 1630, 320, 37, 18953, 16, 8, 15207, 304, 46397, 323, 1579, 46570, 22673, 13, 622, 33518, 7923, 3326, 13, 220, 1049, 23, 4448, 605, 7, 16, 1680, 3391, 12, 24, 13, 469, 9780, 220, 1049, 22, 3799, 220, 1591, 627, 33, 3326, 72, 356, 11, 350, 395, 606, 435, 11, 452, 31803, 480, 11, 1880, 453, 26, 59189, 458, 1630, 28439, 25, 11384, 11, 23842, 11, 24717, 11, 323, 9139, 88886, 13, 622, 18905, 13038, 13, 220, 679, 17, 3799, 8259, 7, 717, 1680, 19852, 19, 12, 1313, 13, 36995, 25, 220, 605, 13, 8546, 17, 32801, 11487, 21729, 3174, 13, 469, 9780, 220, 679, 17, 3799, 220, 18, 627, 31224, 6043, 809, 30715, 11, 423, 97976, 46660, 11, 81015, 942, 9362, 26, 86148, 36449, 39227, 6514, 2671, 369, 45350, 1630, 28439, 13, 58945, 18905, 9500, 295, 13, 220, 679, 20, 5186, 220, 2495, 25, 2075, 12, 6365, 13, 36995, 25, 220, 605, 13, 11584, 22, 17146, 1741, 38, 815, 18349, 5958, 13, 384, 6618, 220, 679, 20, 627, 72945, 18679, 26, 19409, 1392, 369, 45350, 1630, 28439, 25, 264, 12401, 1427, 520, 279, 828, 13, 6168, 4185, 13052, 1838, 10315, 13, 220, 1049, 22387, 7, 19, 1680, 17228, 12, 1399, 13, 36995, 25, 220, 605, 13, 1041, 17, 45981, 637, 13, 2495, 627, 39, 1435, 1543, 77404, 11, 44685, 16222, 81, 23156, 469, 11, 59254, 18022, 20255, 11, 1880, 453, 26, 91958, 304, 279, 6514, 315, 45350, 1630, 28439, 13, 99871, 13, 220, 1049, 24, 4448, 4513, 7, 16, 1680, 19166, 12, 1954, 13, 36995, 25, 220, 605, 13, 10559, 17, 4420, 6910, 13, 1049, 23, 12, 18887, 22, 627, 49, 3340, 64, 53666, 11, 426, 5164, 3751, 437, 622, 11, 2722, 73, 2649, 18983, 26, 744, 780, 3477, 315, 36449, 5848, 22972, 304, 45350, 1630, 28439, 13, 82806, 45950, 1098, 13, 220, 1049, 24, 5020, 220, 10125, 6028, 7, 18, 1680, 17306, 12, 24, 13, 36995, 25, 220, 605, 13, 1041, 16, 4537, 309, 2194, 84, 1098, 13, 679, 18, 13, 11738, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253 ]
2,254
[ 128000, 4599, 14432, 706, 50459, 11, 4148, 505, 8798, 323, 23935, 304, 20415, 323, 12290, 13, 11004, 279, 10269, 48616, 304, 279, 7363, 323, 15998, 279, 1948, 449, 264, 15792, 6324, 315, 5707, 13, 1357, 60637, 36857, 31346, 596, 42313, 1628, 921, 332, 3520, 24492, 65, 31458, 11, 1903, 449, 1120, 220, 20, 4382, 14293, 0, 7648, 315, 682, 11, 617, 2523, 449, 433, 11, 323, 15253, 1124, 311, 3041, 2574, 264, 733, 13, 4800, 2561, 369, 864, 24747, 0, 578, 7140, 753, 19214, 30806, 5131, 9958, 389, 13740, 220, 19, 3451, 82, 13969, 57410, 323, 63842, 1952, 1405, 568, 6209, 264, 2134, 315, 19141, 505, 813, 1866, 9979, 497, 10435, 279, 20415, 323, 12290, 304, 264, 3544, 27890, 19763, 320, 269, 1005, 264, 89571, 38878, 29441, 449, 264, 31452, 9903, 323, 743, 520, 264, 3428, 4732, 570, 11004, 2225, 13124, 315, 20415, 304, 264, 3544, 19763, 323, 1304, 264, 24522, 304, 279, 12541, 13, 23795, 54770, 26, 62116, 28228, 26, 23068, 26, 2613, 26, 469, 53566, 14967, 25402, 10269, 48616, 31452, 13, 2758, 304, 279, 10269, 65, 31458, 11, 220, 16, 520, 264, 892, 11, 323, 4394, 369, 220, 16, 9568, 389, 1855, 3185, 11, 3156, 814, 527, 81792, 291, 323, 34504, 14198, 291, 27162, 264, 9235, 11, 8987, 3196, 11, 87196, 7363, 13, 8876, 42687, 420, 19269, 315, 264, 11363, 11, 584, 1541, 1431, 20753, 449, 279, 3637, 1481, 2509, 4415, 276, 14926, 13, 2876, 304, 279, 24276, 11, 3485, 279, 24276, 13, 5884, 65543, 10269, 65, 31458, 649, 387, 10409, 709, 449, 33566, 11, 323, 23255, 709, 369, 264, 2294, 10778, 311, 701, 294, 6258, 70841, 28974, 662, 39397, 13, 578, 8220, 2027, 5992, 4528, 311, 7904, 4415, 276, 11, 4869, 420, 374, 1790, 8831, 439, 912, 11311, 287, 323, 20781, 904, 4696, 2758, 304, 220, 16, 10747, 315, 20415, 323, 23935, 311, 16343, 13, 27058, 279, 9581, 12290, 11, 220, 6549, 16116, 3090, 323, 279, 50459, 342, 50153, 1139, 279, 24522, 323, 14174, 329, 1664, 320, 868, 482, 220, 966, 16116, 3090, 1253, 387, 3779, 422, 5995, 6266, 3788, 1129, 2185, 749, 29912, 6973, 15549, 5640, 85, 5640, 85, 46351, 4537, 309, 648, 12, 337, 1986, 5773, 6539, 12, 26273, 95319, 12, 13302, 18660, 2495, 12522, 2523, 449, 433, 0, 358, 6051, 61580, 872, 502, 10269, 48616, 270, 1354, 11, 902, 527, 2294, 369, 264, 9498, 10778, 311, 16385, 311, 2567, 520, 2162, 13, 25274, 701, 1866, 8508, 35534, 993, 7725, 10269, 65, 31458, 690, 22225, 10098, 520, 701, 1828, 62312, 13, 3161, 264, 274, 1952, 264, 4335, 20415, 1773, 28244, 7479, 11, 22497, 1139, 220, 21, 4696, 2758, 682, 279, 10269, 48616, 14293, 311, 264, 27890, 19763, 323, 6651, 3871, 449, 264, 46605, 11, 1243, 1005, 4335, 6206, 311, 3352, 323, 4546, 4395, 3871, 13, 3788, 1129, 83, 15329, 6973, 14, 26273, 14, 19, 12, 39625, 70750, 13462, 12862, 1773, 1409, 66568, 48616, 7557, 2771, 499, 100201, 1124, 994, 1701, 8798, 477, 17676, 82036, 8839, 1093, 49995, 323, 3830, 8902, 388, 11, 323, 4639, 1124, 922, 279, 12939, 315, 28786, 872, 6206, 1603, 814, 1212, 11, 323, 1306, 11850, 7257, 13339, 323, 7795, 11, 439, 1664, 439, 1023, 6913, 53056, 5718, 13, 358, 5828, 1431, 264, 4562, 315, 279, 358, 18449, 57410, 10349, 994, 814, 1051, 24919, 279, 36105, 315, 36857, 31346, 11, 719, 568, 706, 1027, 832, 315, 856, 7075, 31544, 60227, 369, 1690, 1667, 13, 6113, 323, 9235, 701, 6206, 11, 1243, 16174, 701, 990, 7479, 323, 6206, 449, 20415, 13, 39578, 11, 85947, 279, 10269, 65, 31458, 449, 19595, 439, 499, 6638, 1124, 704, 26, 1456, 83870, 6985, 19595, 11, 272, 10318, 477, 2477, 3368, 19595, 13, 33093, 264, 4696, 1102, 753, 4832, 369, 78446, 709, 19737, 13, 33093, 264, 4335, 990, 7479, 449, 20415, 11, 1243, 11813, 704, 279, 31452, 13, 480, 4501, 8798, 14432, 323, 14403, 304, 264, 11298, 19737, 857, 13, 36857, 31346, 374, 264, 2324, 1355, 7403, 2391, 279, 71489, 4261, 439, 1690, 315, 603, 617, 311, 4394, 810, 36433, 21644, 497, 19524, 11, 5321, 7431, 15293, 8443, 311, 1005, 420, 4668, 11, 5321, 7431, 2218, 1303, 8443, 311, 1501, 420, 24206, 11, 220, 1041, 342, 659, 59401, 3876, 20415, 1174, 5636, 5066, 369, 16174, 287, 11, 220, 19, 56588, 18341, 42453, 71, 5757, 11, 7120, 62334, 14432, 1174, 311, 8854, 13, 3788, 1129, 2185, 13991, 1247, 1641, 77, 916, 51426, 4791, 95319, 12, 17, 12, 39625, 25313, 88862, 66568, 65, 31458, 12, 12422, 22000, 8519, 26, 5492, 26, 45302, 26, 26371, 26394, 13, 19771, 279, 41580, 323, 220, 5154, 1029, 8369, 3090, 304, 264, 2678, 19763, 11, 323, 5387, 311, 2559, 369, 220, 20, 12, 605, 25876, 3156, 12018, 27322, 1389, 420, 3445, 279, 41580, 374, 3318, 13, 19545, 3788, 1129, 4590, 28349, 14, 17, 82, 26460, 52, 86, 32, 369, 1405, 311, 3821, 13, 3788, 1129, 1820, 57621, 14239, 648, 6973, 15549, 14, 50959, 14, 29468, 9976, 1474, 5281, 11843, 332, 3520, 66568, 65, 31458, 22547, 1870, 923, 304, 810, 20415, 3156, 279, 31452, 8638, 311, 1376, 1139, 264, 5041, 13, 362, 37433, 88, 323, 18406, 10269, 48616, 505, 10913, 6890, 13, 36857, 4459, 18207, 53423, 13919, 430, 17677, 374, 709, 1070, 439, 832, 315, 279, 1455, 15525, 7512, 499, 649, 4639, 264, 1716, 13, 24492, 48616, 35918, 4235, 30658, 264, 8776, 23317, 40712, 323, 1948, 264, 10269, 48616, 449, 19737, 323, 701, 7075, 23317, 90771, 13, 674, 1030, 10979, 65, 8512, 552, 20453, 19841, 66583, 10269, 65, 31458, 11, 1524, 60626, 649, 956, 4510, 1268, 5043, 814, 527, 311, 4394, 709, 0, 6914, 12391, 369, 220, 16, 220, 16, 14, 17, 12, 220, 17, 4207, 304, 459, 3805, 2442, 492, 19763, 13, 3161, 701, 6206, 11, 3352, 323, 46443, 279, 31452, 11, 1243, 1005, 264, 20700, 9160, 311, 6638, 1855, 6710, 1139, 220, 717, 6358, 20101, 11, 17715, 220, 17, 3906, 311, 220, 18, 3906, 12314, 13, 24492, 48616, 1229, 1157, 329, 6374, 4235, 22748, 4376, 264, 10269, 48616, 449, 17604, 11, 68346, 11, 27994, 11, 5099, 323, 11816, 304, 4376, 13, 1054, 25310, 323, 4228, 311, 1304, 11, 279, 2294, 3245, 922, 1521, 10269, 65, 31458, 374, 499, 1541, 1431, 1205, 904, 27555, 7241, 11, 323, 279, 31452, 3250, 1431, 1205, 904, 892, 311, 2800, 1603, 499, 4394, 433, 13, 28636, 279, 19335, 1139, 264, 7363, 315, 77849, 62915, 287, 3090, 323, 44790, 369, 220, 20, 27154, 4520, 7041, 11, 1243, 10625, 1234, 9439, 3090, 3156, 7155, 3403, 311, 3790, 11, 323, 58212, 13, 43287, 279, 5041, 315, 31452, 304, 12466, 15411, 323, 743, 16038, 369, 220, 966, 4520, 1418, 499, 10772, 279, 2800, 315, 279, 15496, 13, 24492, 65, 31458, 323, 90771, 369, 3541, 38483, 88870, 13, 19771, 279, 41580, 323, 220, 5154, 1029, 8369, 3090, 304, 264, 2678, 19763, 11, 323, 5387, 311, 2559, 369, 220, 20, 12, 605, 25876, 3156, 12018, 27322, 1389, 420, 3445, 279, 41580, 374, 3318, 13, 6914, 12391, 369, 220, 16, 220, 16, 14, 17, 12, 220, 17, 4207, 304, 459, 3805, 2442, 492, 19763, 13, 25531, 6980, 12304, 922, 3691, 11, 1405, 433, 4131, 505, 323, 1268, 311, 4394, 433, 11, 6835, 1124, 264, 2731, 6140, 315, 1694, 39345, 323, 44467, 304, 279, 1317, 1629, 13, 1628, 433, 18217, 274, 502, 77204, 11, 220, 20, 14293, 2652, 1456, 83870, 6985, 19595, 11, 477, 0, 24492, 48616, 311, 264, 12235, 11, 1243, 5387, 16038, 264, 20700, 28228, 311, 220, 27154, 6358, 1131, 26371, 323, 420, 39406, 11363, 374, 279, 4832, 1648, 311, 1518, 304, 279, 1566, 2478, 4520, 14177, 13, 763, 12466, 15411, 323, 743, 16038, 369, 220, 966, 4520, 1418, 499, 10772, 279, 2800, 279, 0, 362, 220, 1135, 8547, 2960, 5346, 1037, 11363, 374, 279, 4832, 1648, 311, 1518, 304, 279, 7363, 15998, 0, 23116, 11, 15716, 584, 617, 7904, 11, 584, 2744, 8854, 3637, 1481, 2509, 4415, 276, 14926, 927, 264, 19737, 857, 0, 578, 94927, 39406, 4696, 1304, 10269, 48616, 31452, 11, 15716, 584, 617, 7904, 11, 584, 1541, 18217, 259, 3194, 279, 9417, 1131, 85908, 91193, 6729, 19737, 11, 40901, 449, 61733, 14321, 283, 8318, 1005, 264, 22145, 311, 4018, 220, 21, 5238, 1139, 279, 62450, 5112, 5387, 16038, 4459, 18207, 53423, 13919, 430, 17677, 374, 709, 1070, 439, 832, 315, 279, 1455, 15525, 499, 0, 5690, 54770, 2652, 62116, 28228, 2652, 23068, 2652, 2613, 2652, 4228, 14967, 10269, 48616, 1131, 25, 443, 2185, 13991, 1247, 1641, 77, 916, 51426, 4791, 95319, 12, 17, 12, 39625, 25313, 88862, 66568, 65, 31458, 12, 12422, 22000, 33018, 36857, 31346, 18217, 274, 779, 1695, 6051, 61580, 872, 502, 10269, 48616, 270, 1354, 11, 902, 527, 369, 1131, 9240, 315, 279, 13740, 220, 19, 1501, 482, 674, 17697, 3112, 37830, 27844, 1389, 420, 7159, 220, 1691, 267, 520, 3001, 578, 1890, 892, 389, 279, 2132, 3185, 369, 2500, 220, 17, 4520, 4883, 11, 9564, 922, 220, 18, 6358, 520, 1855, 842, 8800, 17581, 40901, 449, 61733, 14321, 283, 8318, 90215, 1037, 7752, 11, 420, 374, 1268, 433, 4024, 2652, 4557, 810, 29461, 1131, 362, 2324, 1355, 7403, 2391, 279, 71489, 4261, 439, 1690, 315, 603, 617, 311, 4394, 810, 96350, 1131, 5234, 8798, 323, 1243, 3136, 449, 279, 3637, 1481, 2509, 4415, 276, 14926, 364, 82, 220, 868, 9568, 96350, 16655, 0, 578, 1566, 2478, 4520, 430, 14177, 374, 17677, 91193, 6729, 19737, 11, 40901, 61733, 13, 3061, 27089, 433, 279, 27410, 11, 10494, 279, 10269, 65, 31458, 304, 279, 7363, 311, 264, 30759, 311, 7155, 10284, 13788, 0, 37075, 11, 389, 279, 2132, 3185, 369, 2500, 220, 17, 4520, 25, 58212, 279, 31735, 14432, 58212, 13, 578, 42453, 71, 5757, 420, 36433, 10269, 48616, 304, 279, 7363, 311, 264, 12235, 11, 449, 13, 9785, 990, 7479, 449, 20415, 11, 1243, 20673, 648, 8492, 1553, 10269, 48616, 2835, 16038, 3544, 2536, 5594, 875, 87196, 7363, 389, 264, 8798, 1131, 11098, 315, 20415, 323, 12290, 433, 704, 449, 264, 274, 36857, 31346, 364, 82, 323, 0, 9062, 842, 11, 1456, 1521, 7185, 2571, 38611, 10539, 71233, 23317, 61376, 6848, 304, 11363, 0, 12317, 1124, 449, 19335, 11, 477, 3156, 21411, 14198, 22225, 10098, 520, 701, 1828, 62312, 264, 28915, 449, 0, 54859, 2652, 4557, 810, 25368, 29461, 10269, 48616, 11, 10269, 48616, 90771, 9158, 8272, 555, 220, 4645, 1274, 62116, 0, 24492, 48616, 31452, 2324, 1355, 7403, 2391, 279, 71489, 4261, 439, 1690, 315, 603, 617, 4394, 1131, 9158, 8272, 555, 220, 4645, 1274, 389, 62116, 433, 704, 449, 264, 274, 36857, 364, 82, 13, 5690, 54770, 2652, 62116, 28228, 2652, 23068, 2652, 2613, 2652, 4228, 14967, 25402, 10269, 48616, 31452, 10269, 65, 31458, 449, 439, 1131, 24492, 65, 31458, 690, 22225, 10098, 520, 701, 1828, 62312, 10747, 315, 20415, 323, 304, 0, 32269, 561, 779, 374, 1633, 4062, 311, 1304, 4335, 15600, 43713, 279, 14095, 42880, 11, 20415, 323, 264, 1695, 315, 0, 25352, 19737, 857, 1268, 311, 1304, 311, 2567, 8369, 11, 323, 15253, 1124, 311, 2574, 0, 97699, 19763, 323, 3041, 433, 264, 23935, 374, 1633, 4062, 311, 1304, 16163, 389, 10826, 20521, 26828, 477, 29775, 44454, 10778, 311, 701, 294, 6258, 70841, 28974, 264, 15792, 6324, 315, 5707, 31452, 304, 12466, 15411, 323, 743, 16038, 369, 4520, 0, 2057, 279, 90771, 1389, 1005, 701, 4335, 6206, 311, 6651, 433, 3871, 11, 3156, 617, 1131, 12317, 1124, 449, 19335, 11, 477, 3156, 21411, 14198, 315, 682, 11, 617, 2523, 449, 433, 11, 323, 15253, 311, 1131, 578, 8369, 323, 279, 17604, 706, 50459, 11, 4148, 505, 8798, 323, 23935, 304, 20415, 323, 1975, 23404, 2751, 459, 6822, 2212, 422, 539, 11, 2231, 433, 3485, 264, 220, 1135, 8547, 1975, 23404, 2751, 459, 6822, 2212, 220, 19, 883, 6872, 25, 16385, 11363, 323, 420, 374, 2133, 311, 28682, 1082, 279, 433, 13, 61573, 304, 4376, 11363, 505, 36857, 31346, 364, 82, 4228, 10269, 48616, 11, 10269, 48616, 90771, 17974, 0, 16457, 323, 1790, 27578, 2111, 3465, 369, 2697, 6305, 4394, 264, 4726, 9568, 11, 2737, 24415, 42393, 323, 49659, 1093, 323, 0, 32402, 597, 14450, 64, 10269, 65, 31458, 704, 449, 264, 15792, 6324, 315, 5707, 814, 4394, 11, 279, 2731, 814, 18217, 636, 0, 578, 1455, 15525, 7512, 499, 649, 617, 701, 10269, 65, 31458, 5042, 449, 26828, 477, 20673, 11, 649, 1131, 3277, 433, 4131, 311, 279, 90771, 1389, 1005, 701, 28899, 10269, 48616, 270, 1354, 11, 902, 2294, 13, 34619, 55178, 279, 1176, 9417, 20673, 648, 8492, 1553, 10269, 48616, 2835, 279, 15496, 17697, 3112, 37830, 27844, 1389, 420, 7159, 520, 13, 22919, 2212, 264, 4726, 9568, 323, 15998, 279, 1948, 449, 264, 12235, 3504, 9522, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 4599, 14432, 706, 50459, 11, 4148, 505, 8798, 323, 23935, 304, 20415, 323, 12290, 13, 11004, 279, 10269, 48616, 304, 279, 7363, 323, 15998, 279, 1948, 449, 264, 15792, 6324, 315, 5707, 13, 1357, 60637, 36857, 31346, 596, 42313, 1628, 921, 332, 3520, 24492, 65, 31458, 11, 1903, 449, 1120, 220, 20, 4382, 14293, 0, 7648, 315, 682, 11, 617, 2523, 449, 433, 11, 323, 15253, 1124, 311, 3041, 2574, 264, 733, 13, 4800, 2561, 369, 864, 24747, 0, 578, 7140, 753, 19214, 30806, 5131, 9958, 389, 13740, 220, 19, 3451, 82, 13969, 57410, 323, 63842, 1952, 1405, 568, 6209, 264, 2134, 315, 19141, 505, 813, 1866, 9979, 497, 10435, 279, 20415, 323, 12290, 304, 264, 3544, 27890, 19763, 320, 269, 1005, 264, 89571, 38878, 29441, 449, 264, 31452, 9903, 323, 743, 520, 264, 3428, 4732, 570, 11004, 2225, 13124, 315, 20415, 304, 264, 3544, 19763, 323, 1304, 264, 24522, 304, 279, 12541, 13, 23795, 54770, 26, 62116, 28228, 26, 23068, 26, 2613, 26, 469, 53566, 14967, 25402, 10269, 48616, 31452, 13, 2758, 304, 279, 10269, 65, 31458, 11, 220, 16, 520, 264, 892, 11, 323, 4394, 369, 220, 16, 9568, 389, 1855, 3185, 11, 3156, 814, 527, 81792, 291, 323, 34504, 14198, 291, 27162, 264, 9235, 11, 8987, 3196, 11, 87196, 7363, 13, 8876, 42687, 420, 19269, 315, 264, 11363, 11, 584, 1541, 1431, 20753, 449, 279, 3637, 1481, 2509, 4415, 276, 14926, 13, 2876, 304, 279, 24276, 11, 3485, 279, 24276, 13, 5884, 65543, 10269, 65, 31458, 649, 387, 10409, 709, 449, 33566, 11, 323, 23255, 709, 369, 264, 2294, 10778, 311, 701, 294, 6258, 70841, 28974, 662, 39397, 13, 578, 8220, 2027, 5992, 4528, 311, 7904, 4415, 276, 11, 4869, 420, 374, 1790, 8831, 439, 912, 11311, 287, 323, 20781, 904, 4696, 2758, 304, 220, 16, 10747, 315, 20415, 323, 23935, 311, 16343, 13, 27058, 279, 9581, 12290, 11, 220, 6549, 16116, 3090, 323, 279, 50459, 342, 50153, 1139, 279, 24522, 323, 14174, 329, 1664, 320, 868, 482, 220, 966, 16116, 3090, 1253, 387, 3779, 422, 5995, 6266, 3788, 1129, 2185, 749, 29912, 6973, 15549, 5640, 85, 5640, 85, 46351, 4537, 309, 648, 12, 337, 1986, 5773, 6539, 12, 26273, 95319, 12, 13302, 18660, 2495, 12522, 2523, 449, 433, 0, 358, 6051, 61580, 872, 502, 10269, 48616, 270, 1354, 11, 902, 527, 2294, 369, 264, 9498, 10778, 311, 16385, 311, 2567, 520, 2162, 13, 25274, 701, 1866, 8508, 35534, 993, 7725, 10269, 65, 31458, 690, 22225, 10098, 520, 701, 1828, 62312, 13, 3161, 264, 274, 1952, 264, 4335, 20415, 1773, 28244, 7479, 11, 22497, 1139, 220, 21, 4696, 2758, 682, 279, 10269, 48616, 14293, 311, 264, 27890, 19763, 323, 6651, 3871, 449, 264, 46605, 11, 1243, 1005, 4335, 6206, 311, 3352, 323, 4546, 4395, 3871, 13, 3788, 1129, 83, 15329, 6973, 14, 26273, 14, 19, 12, 39625, 70750, 13462, 12862, 1773, 1409, 66568, 48616, 7557, 2771, 499, 100201, 1124, 994, 1701, 8798, 477, 17676, 82036, 8839, 1093, 49995, 323, 3830, 8902, 388, 11, 323, 4639, 1124, 922, 279, 12939, 315, 28786, 872, 6206, 1603, 814, 1212, 11, 323, 1306, 11850, 7257, 13339, 323, 7795, 11, 439, 1664, 439, 1023, 6913, 53056, 5718, 13, 358, 5828, 1431, 264, 4562, 315, 279, 358, 18449, 57410, 10349, 994, 814, 1051, 24919, 279, 36105, 315, 36857, 31346, 11, 719, 568, 706, 1027, 832, 315, 856, 7075, 31544, 60227, 369, 1690, 1667, 13, 6113, 323, 9235, 701, 6206, 11, 1243, 16174, 701, 990, 7479, 323, 6206, 449, 20415, 13, 39578, 11, 85947, 279, 10269, 65, 31458, 449, 19595, 439, 499, 6638, 1124, 704, 26, 1456, 83870, 6985, 19595, 11, 272, 10318, 477, 2477, 3368, 19595, 13, 33093, 264, 4696, 1102, 753, 4832, 369, 78446, 709, 19737, 13, 33093, 264, 4335, 990, 7479, 449, 20415, 11, 1243, 11813, 704, 279, 31452, 13, 480, 4501, 8798, 14432, 323, 14403, 304, 264, 11298, 19737, 857, 13, 36857, 31346, 374, 264, 2324, 1355, 7403, 2391, 279, 71489, 4261, 439, 1690, 315, 603, 617, 311, 4394, 810, 36433, 21644, 497, 19524, 11, 5321, 7431, 15293, 8443, 311, 1005, 420, 4668, 11, 5321, 7431, 2218, 1303, 8443, 311, 1501, 420, 24206, 11, 220, 1041, 342, 659, 59401, 3876, 20415, 1174, 5636, 5066, 369, 16174, 287, 11, 220, 19, 56588, 18341, 42453, 71, 5757, 11, 7120, 62334, 14432, 1174, 311, 8854, 13, 3788, 1129, 2185, 13991, 1247, 1641, 77, 916, 51426, 4791, 95319, 12, 17, 12, 39625, 25313, 88862, 66568, 65, 31458, 12, 12422, 22000, 8519, 26, 5492, 26, 45302, 26, 26371, 26394, 13, 19771, 279, 41580, 323, 220, 5154, 1029, 8369, 3090, 304, 264, 2678, 19763, 11, 323, 5387, 311, 2559, 369, 220, 20, 12, 605, 25876, 3156, 12018, 27322, 1389, 420, 3445, 279, 41580, 374, 3318, 13, 19545, 3788, 1129, 4590, 28349, 14, 17, 82, 26460, 52, 86, 32, 369, 1405, 311, 3821, 13, 3788, 1129, 1820, 57621, 14239, 648, 6973, 15549, 14, 50959, 14, 29468, 9976, 1474, 5281, 11843, 332, 3520, 66568, 65, 31458, 22547, 1870, 923, 304, 810, 20415, 3156, 279, 31452, 8638, 311, 1376, 1139, 264, 5041, 13, 362, 37433, 88, 323, 18406, 10269, 48616, 505, 10913, 6890, 13, 36857, 4459, 18207, 53423, 13919, 430, 17677, 374, 709, 1070, 439, 832, 315, 279, 1455, 15525, 7512, 499, 649, 4639, 264, 1716, 13, 24492, 48616, 35918, 4235, 30658, 264, 8776, 23317, 40712, 323, 1948, 264, 10269, 48616, 449, 19737, 323, 701, 7075, 23317, 90771, 13, 674, 1030, 10979, 65, 8512, 552, 20453, 19841, 66583, 10269, 65, 31458, 11, 1524, 60626, 649, 956, 4510, 1268, 5043, 814, 527, 311, 4394, 709, 0, 6914, 12391, 369, 220, 16, 220, 16, 14, 17, 12, 220, 17, 4207, 304, 459, 3805, 2442, 492, 19763, 13, 3161, 701, 6206, 11, 3352, 323, 46443, 279, 31452, 11, 1243, 1005, 264, 20700, 9160, 311, 6638, 1855, 6710, 1139, 220, 717, 6358, 20101, 11, 17715, 220, 17, 3906, 311, 220, 18, 3906, 12314, 13, 24492, 48616, 1229, 1157, 329, 6374, 4235, 22748, 4376, 264, 10269, 48616, 449, 17604, 11, 68346, 11, 27994, 11, 5099, 323, 11816, 304, 4376, 13, 1054, 25310, 323, 4228, 311, 1304, 11, 279, 2294, 3245, 922, 1521, 10269, 65, 31458, 374, 499, 1541, 1431, 1205, 904, 27555, 7241, 11, 323, 279, 31452, 3250, 1431, 1205, 904, 892, 311, 2800, 1603, 499, 4394, 433, 13, 28636, 279, 19335, 1139, 264, 7363, 315, 77849, 62915, 287, 3090, 323, 44790, 369, 220, 20, 27154, 4520, 7041, 11, 1243, 10625, 1234, 9439, 3090, 3156, 7155, 3403, 311, 3790, 11, 323, 58212, 13, 43287, 279, 5041, 315, 31452, 304, 12466, 15411, 323, 743, 16038, 369, 220, 966, 4520, 1418, 499, 10772, 279, 2800, 315, 279, 15496, 13, 24492, 65, 31458, 323, 90771, 369, 3541, 38483, 88870, 13, 19771, 279, 41580, 323, 220, 5154, 1029, 8369, 3090, 304, 264, 2678, 19763, 11, 323, 5387, 311, 2559, 369, 220, 20, 12, 605, 25876, 3156, 12018, 27322, 1389, 420, 3445, 279, 41580, 374, 3318, 13, 6914, 12391, 369, 220, 16, 220, 16, 14, 17, 12, 220, 17, 4207, 304, 459, 3805, 2442, 492, 19763, 13, 25531, 6980, 12304, 922, 3691, 11, 1405, 433, 4131, 505, 323, 1268, 311, 4394, 433, 11, 6835, 1124, 264, 2731, 6140, 315, 1694, 39345, 323, 44467, 304, 279, 1317, 1629, 13, 1628, 433, 18217, 274, 502, 77204, 11, 220, 20, 14293, 2652, 1456, 83870, 6985, 19595, 11, 477, 0, 24492, 48616, 311, 264, 12235, 11, 1243, 5387, 16038, 264, 20700, 28228, 311, 220, 27154, 6358, 1131, 26371, 323, 420, 39406, 11363, 374, 279, 4832, 1648, 311, 1518, 304, 279, 1566, 2478, 4520, 14177, 13, 763, 12466, 15411, 323, 743, 16038, 369, 220, 966, 4520, 1418, 499, 10772, 279, 2800, 279, 0, 362, 220, 1135, 8547, 2960, 5346, 1037, 11363, 374, 279, 4832, 1648, 311, 1518, 304, 279, 7363, 15998, 0, 23116, 11, 15716, 584, 617, 7904, 11, 584, 2744, 8854, 3637, 1481, 2509, 4415, 276, 14926, 927, 264, 19737, 857, 0, 578, 94927, 39406, 4696, 1304, 10269, 48616, 31452, 11, 15716, 584, 617, 7904, 11, 584, 1541, 18217, 259, 3194, 279, 9417, 1131, 85908, 91193, 6729, 19737, 11, 40901, 449, 61733, 14321, 283, 8318, 1005, 264, 22145, 311, 4018, 220, 21, 5238, 1139, 279, 62450, 5112, 5387, 16038, 4459, 18207, 53423, 13919, 430, 17677, 374, 709, 1070, 439, 832, 315, 279, 1455, 15525, 499, 0, 5690, 54770, 2652, 62116, 28228, 2652, 23068, 2652, 2613, 2652, 4228, 14967, 10269, 48616, 1131, 25, 443, 2185, 13991, 1247, 1641, 77, 916, 51426, 4791, 95319, 12, 17, 12, 39625, 25313, 88862, 66568, 65, 31458, 12, 12422, 22000, 33018, 36857, 31346, 18217, 274, 779, 1695, 6051, 61580, 872, 502, 10269, 48616, 270, 1354, 11, 902, 527, 369, 1131, 9240, 315, 279, 13740, 220, 19, 1501, 482, 674, 17697, 3112, 37830, 27844, 1389, 420, 7159, 220, 1691, 267, 520, 3001, 578, 1890, 892, 389, 279, 2132, 3185, 369, 2500, 220, 17, 4520, 4883, 11, 9564, 922, 220, 18, 6358, 520, 1855, 842, 8800, 17581, 40901, 449, 61733, 14321, 283, 8318, 90215, 1037, 7752, 11, 420, 374, 1268, 433, 4024, 2652, 4557, 810, 29461, 1131, 362, 2324, 1355, 7403, 2391, 279, 71489, 4261, 439, 1690, 315, 603, 617, 311, 4394, 810, 96350, 1131, 5234, 8798, 323, 1243, 3136, 449, 279, 3637, 1481, 2509, 4415, 276, 14926, 364, 82, 220, 868, 9568, 96350, 16655, 0, 578, 1566, 2478, 4520, 430, 14177, 374, 17677, 91193, 6729, 19737, 11, 40901, 61733, 13, 3061, 27089, 433, 279, 27410, 11, 10494, 279, 10269, 65, 31458, 304, 279, 7363, 311, 264, 30759, 311, 7155, 10284, 13788, 0, 37075, 11, 389, 279, 2132, 3185, 369, 2500, 220, 17, 4520, 25, 58212, 279, 31735, 14432, 58212, 13, 578, 42453, 71, 5757, 420, 36433, 10269, 48616, 304, 279, 7363, 311, 264, 12235, 11, 449, 13, 9785, 990, 7479, 449, 20415, 11, 1243, 20673, 648, 8492, 1553, 10269, 48616, 2835, 16038, 3544, 2536, 5594, 875, 87196, 7363, 389, 264, 8798, 1131, 11098, 315, 20415, 323, 12290, 433, 704, 449, 264, 274, 36857, 31346, 364, 82, 323, 0, 9062, 842, 11, 1456, 1521, 7185, 2571, 38611, 10539, 71233, 23317, 61376, 6848, 304, 11363, 0, 12317, 1124, 449, 19335, 11, 477, 3156, 21411, 14198, 22225, 10098, 520, 701, 1828, 62312, 264, 28915, 449, 0, 54859, 2652, 4557, 810, 25368, 29461, 10269, 48616, 11, 10269, 48616, 90771, 9158, 8272, 555, 220, 4645, 1274, 62116, 0, 24492, 48616, 31452, 2324, 1355, 7403, 2391, 279, 71489, 4261, 439, 1690, 315, 603, 617, 4394, 1131, 9158, 8272, 555, 220, 4645, 1274, 389, 62116, 433, 704, 449, 264, 274, 36857, 364, 82, 13, 5690, 54770, 2652, 62116, 28228, 2652, 23068, 2652, 2613, 2652, 4228, 14967, 25402, 10269, 48616, 31452, 10269, 65, 31458, 449, 439, 1131, 24492, 65, 31458, 690, 22225, 10098, 520, 701, 1828, 62312, 10747, 315, 20415, 323, 304, 0, 32269, 561, 779, 374, 1633, 4062, 311, 1304, 4335, 15600, 43713, 279, 14095, 42880, 11, 20415, 323, 264, 1695, 315, 0, 25352, 19737, 857, 1268, 311, 1304, 311, 2567, 8369, 11, 323, 15253, 1124, 311, 2574, 0, 97699, 19763, 323, 3041, 433, 264, 23935, 374, 1633, 4062, 311, 1304, 16163, 389, 10826, 20521, 26828, 477, 29775, 44454, 10778, 311, 701, 294, 6258, 70841, 28974, 264, 15792, 6324, 315, 5707, 31452, 304, 12466, 15411, 323, 743, 16038, 369, 4520, 0, 2057, 279, 90771, 1389, 1005, 701, 4335, 6206, 311, 6651, 433, 3871, 11, 3156, 617, 1131, 12317, 1124, 449, 19335, 11, 477, 3156, 21411, 14198, 315, 682, 11, 617, 2523, 449, 433, 11, 323, 15253, 311, 1131, 578, 8369, 323, 279, 17604, 706, 50459, 11, 4148, 505, 8798, 323, 23935, 304, 20415, 323, 1975, 23404, 2751, 459, 6822, 2212, 422, 539, 11, 2231, 433, 3485, 264, 220, 1135, 8547, 1975, 23404, 2751, 459, 6822, 2212, 220, 19, 883, 6872, 25, 16385, 11363, 323, 420, 374, 2133, 311, 28682, 1082, 279, 433, 13, 61573, 304, 4376, 11363, 505, 36857, 31346, 364, 82, 4228, 10269, 48616, 11, 10269, 48616, 90771, 17974, 0, 16457, 323, 1790, 27578, 2111, 3465, 369, 2697, 6305, 4394, 264, 4726, 9568, 11, 2737, 24415, 42393, 323, 49659, 1093, 323, 0, 32402, 597, 14450, 64, 10269, 65, 31458, 704, 449, 264, 15792, 6324, 315, 5707, 814, 4394, 11, 279, 2731, 814, 18217, 636, 0, 578, 1455, 15525, 7512, 499, 649, 617, 701, 10269, 65, 31458, 5042, 449, 26828, 477, 20673, 11, 649, 1131, 3277, 433, 4131, 311, 279, 90771, 1389, 1005, 701, 28899, 10269, 48616, 270, 1354, 11, 902, 2294, 13, 34619, 55178, 279, 1176, 9417, 20673, 648, 8492, 1553, 10269, 48616, 2835, 279, 15496, 17697, 3112, 37830, 27844, 1389, 420, 7159, 520, 13, 22919, 2212, 264, 4726, 9568, 323, 15998, 279, 1948, 449, 264, 12235, 3504, 9522, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074 ]
2,075
[ 128000, 96514, 358, 10932, 48597, 596, 1608, 29952, 541, 4029, 927, 31160, 380, 22503, 76, 7359, 13, 220, 3639, 1521, 1274, 3775, 311, 3619, 374, 430, 1070, 527, 912, 330, 64185, 1, 36263, 323, 499, 2351, 304, 912, 1648, 16757, 311, 3885, 13, 94980, 11, 499, 4265, 3604, 387, 1903, 2523, 315, 422, 499, 15243, 922, 701, 7075, 32963, 1161, 1412, 439, 22503, 76, 8, 304, 4156, 315, 1274, 889, 1373, 5912, 17649, 7, 4908, 23655, 7359, 527, 47249, 369, 10307, 94271, 330, 11707, 29639, 1, 477, 7752, 369, 5737, 31449, 819, 12970, 330, 3124, 819, 1, 3953, 1093, 86227, 220, 17, 13, 7429, 11, 48597, 7359, 527, 7833, 19738, 42191, 961, 374, 837, 28509, 8, 719, 22503, 76, 7359, 527, 28979, 43085, 47819, 83894, 374, 1648, 810, 30931, 570, 1628, 10035, 11, 422, 358, 1436, 67632, 358, 1053, 387, 1120, 1093, 59027, 69984, 3406, 592, 56825, 11, 358, 10932, 264, 220, 305, 69468, 927, 430, 18710, 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 ]
[ 128000, 96514, 358, 10932, 48597, 596, 1608, 29952, 541, 4029, 927, 31160, 380, 22503, 76, 7359, 13, 220, 3639, 1521, 1274, 3775, 311, 3619, 374, 430, 1070, 527, 912, 330, 64185, 1, 36263, 323, 499, 2351, 304, 912, 1648, 16757, 311, 3885, 13, 94980, 11, 499, 4265, 3604, 387, 1903, 2523, 315, 422, 499, 15243, 922, 701, 7075, 32963, 1161, 1412, 439, 22503, 76, 8, 304, 4156, 315, 1274, 889, 1373, 5912, 17649, 7, 4908, 23655, 7359, 527, 47249, 369, 10307, 94271, 330, 11707, 29639, 1, 477, 7752, 369, 5737, 31449, 819, 12970, 330, 3124, 819, 1, 3953, 1093, 86227, 220, 17, 13, 7429, 11, 48597, 7359, 527, 7833, 19738, 42191, 961, 374, 837, 28509, 8, 719, 22503, 76, 7359, 527, 28979, 43085, 47819, 83894, 374, 1648, 810, 30931, 570, 1628, 10035, 11, 422, 358, 1436, 67632, 358, 1053, 387, 1120, 1093, 59027, 69984, 3406, 592, 56825, 11, 358, 10932, 264, 220, 305, 69468, 927, 430, 18710, 570, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 28573, 279, 2768, 11914, 311, 8753, 512, 41, 1899, 43996, 3651, 85907, 43996, 9481, 124886, 3065, 965, 1389, 435, 41992, 2198, 35900, 3083, 2006, 58555, 7181, 512, 6616, 27887, 57989, 28853, 877, 18241, 25832, 28853, 877, 4235, 2006, 58555, 5301, 67097, 2279, 17067, 1111, 47013, 32, 9311, 7181, 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 ]
[ 128000, 28573, 279, 2768, 11914, 311, 8753, 512, 41, 1899, 43996, 3651, 85907, 43996, 9481, 124886, 3065, 965, 1389, 435, 41992, 2198, 35900, 3083, 2006, 58555, 7181, 512, 6616, 27887, 57989, 28853, 877, 18241, 25832, 28853, 877, 4235, 2006, 58555, 5301, 67097, 2279, 17067, 1111, 47013, 32, 9311, 7181, 25, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50 ]
51
[ 128000, 11787, 499, 3411, 369, 220, 19, 87, 19, 14221, 417, 65599, 369, 701, 7458, 5380, 1688, 31013, 3341, 10852, 11, 584, 5708, 459, 16781, 4526, 315, 220, 19, 87, 19, 69793, 65599, 369, 701, 39773, 627, 9673, 1841, 69793, 65599, 527, 2160, 5805, 505, 6522, 74028, 17032, 11, 24944, 16757, 389, 66815, 323, 1022, 66815, 10043, 5178, 13, 5659, 15193, 311, 5209, 31608, 323, 12136, 220, 19, 87, 19, 69793, 65599, 11, 584, 617, 1124, 682, 2561, 369, 499, 4028, 17226, 4211, 323, 12562, 627, 1271, 29068, 311, 682, 8403, 11, 1057, 4553, 74028, 49639, 374, 1457, 2561, 2930, 13, 4702, 733, 311, 1057, 2930, 74028, 24007, 11, 3810, 701, 7458, 753, 12506, 1396, 477, 74028, 1404, 3649, 323, 5268, 264, 1646, 315, 701, 22698, 5636, 2363, 264, 27442, 18101, 520, 1057, 19833, 520, 279, 1890, 892, 13, 1442, 499, 3469, 369, 1057, 8232, 24747, 12764, 11, 584, 690, 636, 279, 502, 69793, 12886, 311, 701, 76977, 2949, 220, 18, 2919, 627, 93114, 11, 499, 649, 7995, 1101, 4034, 1057, 26129, 520, 2947, 645, 2493, 11, 65599, 10539, 9469, 8135, 11, 65599, 20619, 1187, 220, 17, 14938, 11, 323, 7782, 264, 743, 6089, 627, 84910, 484, 14221, 417, 11, 323, 1690, 810, 9522, 10445, 5268, 220, 19, 87, 19, 69793, 65599, 5380, 791, 7631, 369, 39773, 753, 320, 59837, 26230, 56120, 8, 706, 15042, 19019, 927, 279, 1667, 13, 6104, 520, 279, 7314, 1521, 11731, 1051, 14918, 1511, 369, 1022, 66815, 10043, 11, 814, 527, 3596, 779, 5526, 439, 682, 21691, 388, 13, 362, 1633, 3062, 13189, 994, 10043, 459, 39773, 374, 3515, 279, 1314, 69793, 29441, 311, 279, 7458, 39773, 82, 627, 19, 87, 19, 69793, 65599, 2586, 449, 49680, 32617, 5700, 430, 18885, 13552, 19025, 323, 3493, 16757, 5178, 11, 20334, 11, 25703, 323, 9250, 73588, 18000, 627, 9673, 4211, 649, 6920, 8987, 21577, 1606, 814, 527, 1903, 505, 77889, 41947, 23506, 32246, 430, 7417, 11850, 323, 10043, 20334, 389, 2204, 7317, 1771, 627, 12243, 3195, 12, 47882, 69793, 320, 2607, 8, 2586, 449, 264, 20735, 2788, 48814, 430, 3727, 701, 6678, 12248, 1752, 323, 12992, 279, 74028, 2324, 12207, 13, 11699, 13263, 8045, 59402, 2565, 5497, 4726, 26420, 264, 61405, 12141, 323, 7833, 8614, 10043, 20334, 389, 9048, 2336, 13, 1115, 5016, 5497, 1101, 5825, 7319, 33277, 2077, 323, 16757, 7458, 11850, 323, 9250, 25703, 389, 14739, 19795, 627, 44, 664, 12, 47882, 220, 19, 87, 19, 69793, 65599, 4668, 19738, 48814, 12912, 323, 8294, 33251, 1990, 279, 48814, 10215, 311, 3493, 24872, 11850, 389, 27275, 323, 1776, 1136, 13, 1115, 5016, 8246, 36050, 73588, 5178, 323, 47955, 304, 1022, 66815, 4787, 13, 1102, 374, 872, 71257, 1579, 30699, 33277, 2585, 11, 902, 8779, 499, 6678, 21676, 11, 1524, 389, 11413, 7317, 1771, 627, 2460, 12, 47882, 220, 19, 87, 19, 69793, 527, 4832, 369, 2225, 389, 12, 323, 1022, 66815, 1005, 13, 4314, 69793, 4668, 264, 8294, 2565, 48814, 5497, 449, 810, 33251, 1990, 1403, 10215, 311, 3493, 459, 41480, 4023, 839, 25703, 994, 10043, 927, 9235, 323, 14739, 27529, 13, 31909, 11, 814, 6106, 16757, 47955, 1022, 66815, 323, 264, 11113, 389, 66815, 10043, 5178, 439, 1664, 13, 23674, 11, 449, 682, 12, 47882, 69793, 11, 499, 636, 39665, 323, 24473, 33277, 2585, 304, 1022, 66815, 323, 389, 66815, 10043, 4787, 627, 39, 768, 11, 4587, 10936, 15389, 369, 279, 1888, 220, 19, 87, 19, 69793, 3221, 757, 26, 4619, 11, 323, 636, 304, 5916, 449, 603, 520, 31013, 3341, 10852, 627, 5618, 1650, 603, 389, 1393, 91, 76098, 19925, 8651, 91, 220, 17, 422, 499, 1205, 810, 2038, 477, 12096, 9650, 505, 1057, 11909, 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 ]
[ 128000, 11787, 499, 3411, 369, 220, 19, 87, 19, 14221, 417, 65599, 369, 701, 7458, 5380, 1688, 31013, 3341, 10852, 11, 584, 5708, 459, 16781, 4526, 315, 220, 19, 87, 19, 69793, 65599, 369, 701, 39773, 627, 9673, 1841, 69793, 65599, 527, 2160, 5805, 505, 6522, 74028, 17032, 11, 24944, 16757, 389, 66815, 323, 1022, 66815, 10043, 5178, 13, 5659, 15193, 311, 5209, 31608, 323, 12136, 220, 19, 87, 19, 69793, 65599, 11, 584, 617, 1124, 682, 2561, 369, 499, 4028, 17226, 4211, 323, 12562, 627, 1271, 29068, 311, 682, 8403, 11, 1057, 4553, 74028, 49639, 374, 1457, 2561, 2930, 13, 4702, 733, 311, 1057, 2930, 74028, 24007, 11, 3810, 701, 7458, 753, 12506, 1396, 477, 74028, 1404, 3649, 323, 5268, 264, 1646, 315, 701, 22698, 5636, 2363, 264, 27442, 18101, 520, 1057, 19833, 520, 279, 1890, 892, 13, 1442, 499, 3469, 369, 1057, 8232, 24747, 12764, 11, 584, 690, 636, 279, 502, 69793, 12886, 311, 701, 76977, 2949, 220, 18, 2919, 627, 93114, 11, 499, 649, 7995, 1101, 4034, 1057, 26129, 520, 2947, 645, 2493, 11, 65599, 10539, 9469, 8135, 11, 65599, 20619, 1187, 220, 17, 14938, 11, 323, 7782, 264, 743, 6089, 627, 84910, 484, 14221, 417, 11, 323, 1690, 810, 9522, 10445, 5268, 220, 19, 87, 19, 69793, 65599, 5380, 791, 7631, 369, 39773, 753, 320, 59837, 26230, 56120, 8, 706, 15042, 19019, 927, 279, 1667, 13, 6104, 520, 279, 7314, 1521, 11731, 1051, 14918, 1511, 369, 1022, 66815, 10043, 11, 814, 527, 3596, 779, 5526, 439, 682, 21691, 388, 13, 362, 1633, 3062, 13189, 994, 10043, 459, 39773, 374, 3515, 279, 1314, 69793, 29441, 311, 279, 7458, 39773, 82, 627, 19, 87, 19, 69793, 65599, 2586, 449, 49680, 32617, 5700, 430, 18885, 13552, 19025, 323, 3493, 16757, 5178, 11, 20334, 11, 25703, 323, 9250, 73588, 18000, 627, 9673, 4211, 649, 6920, 8987, 21577, 1606, 814, 527, 1903, 505, 77889, 41947, 23506, 32246, 430, 7417, 11850, 323, 10043, 20334, 389, 2204, 7317, 1771, 627, 12243, 3195, 12, 47882, 69793, 320, 2607, 8, 2586, 449, 264, 20735, 2788, 48814, 430, 3727, 701, 6678, 12248, 1752, 323, 12992, 279, 74028, 2324, 12207, 13, 11699, 13263, 8045, 59402, 2565, 5497, 4726, 26420, 264, 61405, 12141, 323, 7833, 8614, 10043, 20334, 389, 9048, 2336, 13, 1115, 5016, 5497, 1101, 5825, 7319, 33277, 2077, 323, 16757, 7458, 11850, 323, 9250, 25703, 389, 14739, 19795, 627, 44, 664, 12, 47882, 220, 19, 87, 19, 69793, 65599, 4668, 19738, 48814, 12912, 323, 8294, 33251, 1990, 279, 48814, 10215, 311, 3493, 24872, 11850, 389, 27275, 323, 1776, 1136, 13, 1115, 5016, 8246, 36050, 73588, 5178, 323, 47955, 304, 1022, 66815, 4787, 13, 1102, 374, 872, 71257, 1579, 30699, 33277, 2585, 11, 902, 8779, 499, 6678, 21676, 11, 1524, 389, 11413, 7317, 1771, 627, 2460, 12, 47882, 220, 19, 87, 19, 69793, 527, 4832, 369, 2225, 389, 12, 323, 1022, 66815, 1005, 13, 4314, 69793, 4668, 264, 8294, 2565, 48814, 5497, 449, 810, 33251, 1990, 1403, 10215, 311, 3493, 459, 41480, 4023, 839, 25703, 994, 10043, 927, 9235, 323, 14739, 27529, 13, 31909, 11, 814, 6106, 16757, 47955, 1022, 66815, 323, 264, 11113, 389, 66815, 10043, 5178, 439, 1664, 13, 23674, 11, 449, 682, 12, 47882, 69793, 11, 499, 636, 39665, 323, 24473, 33277, 2585, 304, 1022, 66815, 323, 389, 66815, 10043, 4787, 627, 39, 768, 11, 4587, 10936, 15389, 369, 279, 1888, 220, 19, 87, 19, 69793, 3221, 757, 26, 4619, 11, 323, 636, 304, 5916, 449, 603, 520, 31013, 3341, 10852, 627, 5618, 1650, 603, 389, 1393, 91, 76098, 19925, 8651, 91, 220, 17, 422, 499, 1205, 810, 2038, 477, 12096, 9650, 505, 1057, 11909, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 3100, 9443, 8, 16770, 71, 497, 2683, 7274, 8079, 11, 1148, 311, 10051, 5380, 5451, 3582, 11, 311, 3041, 1063, 13356, 12, 433, 753, 520, 264, 99357, 9266, 11, 358, 4344, 2133, 304, 311, 3419, 268, 34575, 5249, 311, 1505, 264, 502, 3070, 311, 990, 369, 627, 5454, 220, 16, 16347, 315, 1093, 420, 11, 264, 2697, 5129, 323, 304, 95707, 3262, 592, 569, 627, 5454, 220, 17, 25, 362, 38380, 3460, 315, 1093, 420, 11, 912, 439, 10508, 449, 264, 3776, 13192, 3565, 449, 46793, 389, 279, 28004, 627, 5454, 220, 18, 25, 5348, 24947, 53933, 449, 459, 8278, 3091, 295, 1494, 12970, 1194, 1948, 627, 5454, 220, 19, 25, 435, 14589, 30875, 60285, 34389, 449, 279, 3776, 1948, 9932, 304, 674, 17, 627, 52, 876, 358, 617, 912, 4623, 1148, 311, 10051, 11, 433, 753, 369, 99357, 7032, 304, 264, 1633, 28994, 3158, 779, 358, 1541, 1431, 1390, 311, 1427, 1093, 264, 2860, 502, 65, 627, 40, 1053, 10051, 6555, 3776, 25567, 323, 264, 97045, 13, 358, 2744, 10051, 29076, 369, 19905, 719, 539, 2771, 1148, 7274, 5633, 10051, 369, 99357, 10093, 11, 719, 358, 8434, 1431, 10051, 264, 8679, 7389, 433, 574, 520, 856, 22095, 320, 1962, 3485, 4390, 40, 5131, 99357, 323, 358, 1541, 1431, 1781, 904, 315, 1884, 48374, 990, 13, 3277, 358, 1511, 311, 990, 304, 8661, 45560, 31024, 11, 358, 1550, 279, 4459, 7937, 3245, 11, 719, 308, 1036, 7169, 374, 264, 1790, 2204, 3245, 13, 1472, 1390, 311, 2586, 1022, 439, 5603, 481, 323, 8369, 11, 719, 539, 3995, 323, 653, 66886, 13, 2360, 13192, 33522, 477, 10283, 315, 6930, 9204, 11, 1524, 422, 433, 753, 7474, 11, 369, 279, 7274, 13, 358, 7070, 2019, 264, 5129, 38380, 11, 649, 387, 389, 279, 16736, 3185, 323, 264, 15845, 477, 25567, 323, 264, 2875, 37253, 15845, 13, 2360, 10099, 24370, 477, 4205, 78264, 88, 627, 2729, 315, 279, 2671, 499, 10212, 11, 279, 34389, 1053, 990, 7060, 422, 499, 26435, 433, 709, 449, 264, 6555, 4251, 97045, 323, 1063, 8679, 1291, 61457, 627, 32, 4333, 889, 753, 264, 99357, 28670, 1077, 4967, 14113, 11, 439, 574, 3685, 315, 1077, 13, 1102, 5343, 36516, 323, 264, 9072, 13, 7445, 16287, 13, 358, 4284, 499, 10051, 264, 38380, 11, 3770, 279, 22095, 11, 323, 539, 25567, 627, 16, 25, 578, 8679, 1053, 387, 17339, 1193, 422, 433, 4024, 3347, 701, 31624, 627, 17, 25, 4418, 1431, 1501, 904, 28004, 323, 77305, 1288, 387, 20784, 323, 22095, 3160, 520, 3325, 627, 18, 25, 622, 29468, 826, 320, 269, 4205, 430, 10508, 8, 527, 2646, 8475, 369, 990, 11, 1790, 2753, 459, 7274, 13, 26823, 5900, 369, 10065, 24370, 627, 19, 25, 435, 14589, 17895, 477, 34389, 315, 904, 1933, 527, 539, 7274, 8475, 627, 13461, 3582, 433, 753, 264, 99357, 9266, 11, 433, 753, 539, 1093, 701, 7274, 690, 2997, 499, 3794, 389, 279, 6558, 323, 5737, 449, 279, 6980, 11, 1314, 30, 1472, 1288, 10051, 2626, 16736, 17895, 11, 5423, 422, 433, 753, 304, 264, 9257, 3158, 13, 20474, 11, 433, 753, 2744, 2731, 311, 387, 40552, 14715, 1109, 2288, 16736, 627, 5519, 499, 617, 264, 6857, 315, 3776, 1776, 7977, 30, 2650, 922, 904, 4631, 1636, 37824, 477, 6555, 1529, 20340, 30, 358, 1053, 10051, 430, 11, 449, 264, 6857, 315, 61457, 2001, 499, 1541, 1431, 1390, 311, 1427, 1093, 499, 649, 1431, 1629, 1306, 6980, 1606, 315, 2288, 2442, 543, 34460, 627, 12947, 5127, 0, 358, 4805, 387, 14836, 311, 59015, 323, 11000, 7553, 1065, 18396, 311, 1505, 1063, 25567, 323, 358, 617, 264, 2478, 1023, 37824, 430, 527, 5129, 304, 37253, 3160, 430, 1288, 990, 627, 31, 79560, 7870, 268, 4044, 25, 358, 1053, 2019, 3072, 674, 16, 1981, 279, 3885, 2873, 264, 2766, 2288, 16736, 13, 358, 1193, 617, 3217, 304, 279, 13166, 1917, 779, 358, 1436, 387, 1648, 1022, 2385, 11, 719, 358, 2744, 1886, 389, 279, 3185, 315, 32623, 264, 2766, 2288, 37402, 13, 358, 1541, 1431, 1781, 430, 649, 387, 26617, 25587, 11, 719, 889, 8964, 358, 8101, 627, 2688, 2771, 422, 358, 7070, 656, 12743, 14535, 449, 264, 8679, 11, 3582, 13, 3011, 2643, 387, 2288, 16736, 627, 2822, 5030, 1148, 2683, 499, 3207, 65816, 369, 499, 1288, 10051, 264, 7937, 477, 520, 279, 1633, 3325, 2626, 16736, 13, 358, 1053, 9855, 430, 99357, 13607, 1541, 1431, 1390, 311, 18467, 28360, 342, 1147, 719, 814, 1101, 1541, 1431, 1390, 311, 18467, 18570, 889, 5992, 1093, 814, 2643, 27669, 872, 3016, 753, 61954, 627, 40, 7655, 449, 13435, 82, 889, 2019, 264, 6555, 6857, 315, 3776, 25567, 323, 264, 6555, 97045, 449, 220, 18, 14, 19, 477, 5129, 43475, 323, 912, 40892, 2754, 8148, 9204, 627, 32, 6555, 6857, 315, 8679, 25567, 449, 264, 3215, 709, 15845, 90293, 1559, 289, 14, 289, 49416, 264, 27300, 1389, 477, 264, 2626, 38380, 13, 358, 7070, 2567, 433, 14470, 15692, 323, 6721, 627, 29690, 11, 499, 1541, 1431, 1390, 311, 387, 279, 23473, 88167, 3451, 10847, 3995, 99357, 529, 1389, 499, 1390, 311, 1427, 6721, 4999, 791, 8712, 3451, 32, 20990, 497, 2683, 7274, 8079, 11, 1148, 311, 10051, 45258, 374, 8036, 311, 502, 31737, 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 ]
[ 128000, 3100, 9443, 8, 16770, 71, 497, 2683, 7274, 8079, 11, 1148, 311, 10051, 5380, 5451, 3582, 11, 311, 3041, 1063, 13356, 12, 433, 753, 520, 264, 99357, 9266, 11, 358, 4344, 2133, 304, 311, 3419, 268, 34575, 5249, 311, 1505, 264, 502, 3070, 311, 990, 369, 627, 5454, 220, 16, 16347, 315, 1093, 420, 11, 264, 2697, 5129, 323, 304, 95707, 3262, 592, 569, 627, 5454, 220, 17, 25, 362, 38380, 3460, 315, 1093, 420, 11, 912, 439, 10508, 449, 264, 3776, 13192, 3565, 449, 46793, 389, 279, 28004, 627, 5454, 220, 18, 25, 5348, 24947, 53933, 449, 459, 8278, 3091, 295, 1494, 12970, 1194, 1948, 627, 5454, 220, 19, 25, 435, 14589, 30875, 60285, 34389, 449, 279, 3776, 1948, 9932, 304, 674, 17, 627, 52, 876, 358, 617, 912, 4623, 1148, 311, 10051, 11, 433, 753, 369, 99357, 7032, 304, 264, 1633, 28994, 3158, 779, 358, 1541, 1431, 1390, 311, 1427, 1093, 264, 2860, 502, 65, 627, 40, 1053, 10051, 6555, 3776, 25567, 323, 264, 97045, 13, 358, 2744, 10051, 29076, 369, 19905, 719, 539, 2771, 1148, 7274, 5633, 10051, 369, 99357, 10093, 11, 719, 358, 8434, 1431, 10051, 264, 8679, 7389, 433, 574, 520, 856, 22095, 320, 1962, 3485, 4390, 40, 5131, 99357, 323, 358, 1541, 1431, 1781, 904, 315, 1884, 48374, 990, 13, 3277, 358, 1511, 311, 990, 304, 8661, 45560, 31024, 11, 358, 1550, 279, 4459, 7937, 3245, 11, 719, 308, 1036, 7169, 374, 264, 1790, 2204, 3245, 13, 1472, 1390, 311, 2586, 1022, 439, 5603, 481, 323, 8369, 11, 719, 539, 3995, 323, 653, 66886, 13, 2360, 13192, 33522, 477, 10283, 315, 6930, 9204, 11, 1524, 422, 433, 753, 7474, 11, 369, 279, 7274, 13, 358, 7070, 2019, 264, 5129, 38380, 11, 649, 387, 389, 279, 16736, 3185, 323, 264, 15845, 477, 25567, 323, 264, 2875, 37253, 15845, 13, 2360, 10099, 24370, 477, 4205, 78264, 88, 627, 2729, 315, 279, 2671, 499, 10212, 11, 279, 34389, 1053, 990, 7060, 422, 499, 26435, 433, 709, 449, 264, 6555, 4251, 97045, 323, 1063, 8679, 1291, 61457, 627, 32, 4333, 889, 753, 264, 99357, 28670, 1077, 4967, 14113, 11, 439, 574, 3685, 315, 1077, 13, 1102, 5343, 36516, 323, 264, 9072, 13, 7445, 16287, 13, 358, 4284, 499, 10051, 264, 38380, 11, 3770, 279, 22095, 11, 323, 539, 25567, 627, 16, 25, 578, 8679, 1053, 387, 17339, 1193, 422, 433, 4024, 3347, 701, 31624, 627, 17, 25, 4418, 1431, 1501, 904, 28004, 323, 77305, 1288, 387, 20784, 323, 22095, 3160, 520, 3325, 627, 18, 25, 622, 29468, 826, 320, 269, 4205, 430, 10508, 8, 527, 2646, 8475, 369, 990, 11, 1790, 2753, 459, 7274, 13, 26823, 5900, 369, 10065, 24370, 627, 19, 25, 435, 14589, 17895, 477, 34389, 315, 904, 1933, 527, 539, 7274, 8475, 627, 13461, 3582, 433, 753, 264, 99357, 9266, 11, 433, 753, 539, 1093, 701, 7274, 690, 2997, 499, 3794, 389, 279, 6558, 323, 5737, 449, 279, 6980, 11, 1314, 30, 1472, 1288, 10051, 2626, 16736, 17895, 11, 5423, 422, 433, 753, 304, 264, 9257, 3158, 13, 20474, 11, 433, 753, 2744, 2731, 311, 387, 40552, 14715, 1109, 2288, 16736, 627, 5519, 499, 617, 264, 6857, 315, 3776, 1776, 7977, 30, 2650, 922, 904, 4631, 1636, 37824, 477, 6555, 1529, 20340, 30, 358, 1053, 10051, 430, 11, 449, 264, 6857, 315, 61457, 2001, 499, 1541, 1431, 1390, 311, 1427, 1093, 499, 649, 1431, 1629, 1306, 6980, 1606, 315, 2288, 2442, 543, 34460, 627, 12947, 5127, 0, 358, 4805, 387, 14836, 311, 59015, 323, 11000, 7553, 1065, 18396, 311, 1505, 1063, 25567, 323, 358, 617, 264, 2478, 1023, 37824, 430, 527, 5129, 304, 37253, 3160, 430, 1288, 990, 627, 31, 79560, 7870, 268, 4044, 25, 358, 1053, 2019, 3072, 674, 16, 1981, 279, 3885, 2873, 264, 2766, 2288, 16736, 13, 358, 1193, 617, 3217, 304, 279, 13166, 1917, 779, 358, 1436, 387, 1648, 1022, 2385, 11, 719, 358, 2744, 1886, 389, 279, 3185, 315, 32623, 264, 2766, 2288, 37402, 13, 358, 1541, 1431, 1781, 430, 649, 387, 26617, 25587, 11, 719, 889, 8964, 358, 8101, 627, 2688, 2771, 422, 358, 7070, 656, 12743, 14535, 449, 264, 8679, 11, 3582, 13, 3011, 2643, 387, 2288, 16736, 627, 2822, 5030, 1148, 2683, 499, 3207, 65816, 369, 499, 1288, 10051, 264, 7937, 477, 520, 279, 1633, 3325, 2626, 16736, 13, 358, 1053, 9855, 430, 99357, 13607, 1541, 1431, 1390, 311, 18467, 28360, 342, 1147, 719, 814, 1101, 1541, 1431, 1390, 311, 18467, 18570, 889, 5992, 1093, 814, 2643, 27669, 872, 3016, 753, 61954, 627, 40, 7655, 449, 13435, 82, 889, 2019, 264, 6555, 6857, 315, 3776, 25567, 323, 264, 6555, 97045, 449, 220, 18, 14, 19, 477, 5129, 43475, 323, 912, 40892, 2754, 8148, 9204, 627, 32, 6555, 6857, 315, 8679, 25567, 449, 264, 3215, 709, 15845, 90293, 1559, 289, 14, 289, 49416, 264, 27300, 1389, 477, 264, 2626, 38380, 13, 358, 7070, 2567, 433, 14470, 15692, 323, 6721, 627, 29690, 11, 499, 1541, 1431, 1390, 311, 387, 279, 23473, 88167, 3451, 10847, 3995, 99357, 529, 1389, 499, 1390, 311, 1427, 6721, 4999, 791, 8712, 3451, 32, 20990, 497, 2683, 7274, 8079, 11, 1148, 311, 10051, 45258, 374, 8036, 311, 502, 31737, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 15721, 26, 578, 2326, 6411, 1436, 6824, 315, 832, 63463, 7564, 304, 264, 2872, 15688, 323, 5734, 1053, 387, 12153, 311, 75272, 279, 7427, 13, 9843, 264, 3224, 5334, 358, 13276, 22365, 11, 814, 527, 13750, 653, 395, 2141, 382, 2746, 323, 1193, 422, 279, 2218, 3224, 374, 10032, 311, 1005, 1124, 13, 220, 358, 1541, 956, 1781, 584, 527, 13, 220, 1628, 422, 814, 690, 990, 25, 52692, 82, 649, 14459, 704, 279, 6617, 6305, 11, 323, 5734, 706, 912, 5965, 1026, 922, 47128, 735, 78049, 422, 433, 3445, 10494, 279, 2326, 1523, 382, 1688, 1063, 1486, 5734, 690, 1304, 264, 1514, 369, 29389, 311, 16988, 279, 2326, 482, 16102, 358, 64601, 430, 814, 3358, 656, 420, 311, 2567, 603, 520, 23542, 439, 814, 733, 1306, 6890, 596, 3090, 430, 814, 690, 1205, 31373, 4856, 1109, 3010, 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 ]
[ 128000, 15721, 26, 578, 2326, 6411, 1436, 6824, 315, 832, 63463, 7564, 304, 264, 2872, 15688, 323, 5734, 1053, 387, 12153, 311, 75272, 279, 7427, 13, 9843, 264, 3224, 5334, 358, 13276, 22365, 11, 814, 527, 13750, 653, 395, 2141, 382, 2746, 323, 1193, 422, 279, 2218, 3224, 374, 10032, 311, 1005, 1124, 13, 220, 358, 1541, 956, 1781, 584, 527, 13, 220, 1628, 422, 814, 690, 990, 25, 52692, 82, 649, 14459, 704, 279, 6617, 6305, 11, 323, 5734, 706, 912, 5965, 1026, 922, 47128, 735, 78049, 422, 433, 3445, 10494, 279, 2326, 1523, 382, 1688, 1063, 1486, 5734, 690, 1304, 264, 1514, 369, 29389, 311, 16988, 279, 2326, 482, 16102, 358, 64601, 430, 814, 3358, 656, 420, 311, 2567, 603, 520, 23542, 439, 814, 733, 1306, 6890, 596, 3090, 430, 814, 690, 1205, 31373, 4856, 1109, 3010, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 54, 3387, 0, 12522, 358, 15187, 11021, 264, 502, 6382, 323, 8308, 264, 2539, 3388, 304, 3691, 42428, 323, 24685, 30, 2360, 11, 420, 6945, 574, 4529, 555, 279, 14964, 93139, 23944, 356, 4939, 323, 1364, 753, 20806, 757, 1005, 433, 13, 578, 11363, 369, 1521, 39834, 11077, 4282, 690, 387, 5343, 304, 1077, 1828, 2363, 320, 1030, 67383, 449, 279, 18813, 11364, 12565, 72, 8, 578, 19121, 13002, 311, 63215, 3804, 93778, 13, 358, 4070, 12793, 927, 220, 7007, 19141, 369, 264, 3544, 1396, 315, 9193, 23944, 12283, 719, 1521, 11077, 4282, 9396, 704, 304, 856, 4059, 1606, 584, 4070, 35661, 1124, 779, 1690, 3115, 13, 358, 3021, 39834, 11077, 4282, 323, 617, 1903, 1124, 1690, 1690, 3115, 11, 7170, 2768, 19141, 323, 7170, 1120, 69344, 856, 62921, 323, 293, 2234, 287, 1124, 304, 279, 24276, 13, 2030, 2085, 904, 13310, 315, 264, 12737, 315, 10712, 11, 1521, 35267, 527, 279, 1888, 13, 2684, 527, 1120, 264, 5743, 315, 2697, 4228, 24511, 311, 1124, 430, 12157, 1124, 505, 1694, 1120, 264, 4725, 39834, 64785, 311, 2555, 3361, 627, 40, 1296, 779, 1690, 502, 19141, 430, 2555, 706, 311, 387, 1633, 3361, 369, 757, 311, 1304, 433, 1578, 13, 2057, 1304, 420, 439, 1690, 3115, 439, 358, 617, 374, 264, 3335, 1389, 5423, 1603, 279, 2363, 706, 1524, 1027, 4756, 0, 358, 9167, 1431, 2751, 856, 3048, 315, 420, 2363, 3686, 719, 358, 649, 35955, 304, 701, 2487, 430, 7649, 706, 2736, 8220, 369, 872, 4948, 2363, 1283, 6862, 63215, 374, 2133, 311, 856, 19214, 315, 872, 2380, 6603, 779, 3117, 4999, 12174, 11, 358, 1390, 1124, 0, 4718, 4096, 3727, 1124, 5222, 12756, 15400, 627, 34042, 0, 358, 3463, 430, 574, 264, 356, 4939, 10532, 0, 358, 3021, 1077, 1742, 13, 358, 649, 1431, 3868, 311, 636, 430, 2363, 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 ]
[ 128000, 54, 3387, 0, 12522, 358, 15187, 11021, 264, 502, 6382, 323, 8308, 264, 2539, 3388, 304, 3691, 42428, 323, 24685, 30, 2360, 11, 420, 6945, 574, 4529, 555, 279, 14964, 93139, 23944, 356, 4939, 323, 1364, 753, 20806, 757, 1005, 433, 13, 578, 11363, 369, 1521, 39834, 11077, 4282, 690, 387, 5343, 304, 1077, 1828, 2363, 320, 1030, 67383, 449, 279, 18813, 11364, 12565, 72, 8, 578, 19121, 13002, 311, 63215, 3804, 93778, 13, 358, 4070, 12793, 927, 220, 7007, 19141, 369, 264, 3544, 1396, 315, 9193, 23944, 12283, 719, 1521, 11077, 4282, 9396, 704, 304, 856, 4059, 1606, 584, 4070, 35661, 1124, 779, 1690, 3115, 13, 358, 3021, 39834, 11077, 4282, 323, 617, 1903, 1124, 1690, 1690, 3115, 11, 7170, 2768, 19141, 323, 7170, 1120, 69344, 856, 62921, 323, 293, 2234, 287, 1124, 304, 279, 24276, 13, 2030, 2085, 904, 13310, 315, 264, 12737, 315, 10712, 11, 1521, 35267, 527, 279, 1888, 13, 2684, 527, 1120, 264, 5743, 315, 2697, 4228, 24511, 311, 1124, 430, 12157, 1124, 505, 1694, 1120, 264, 4725, 39834, 64785, 311, 2555, 3361, 627, 40, 1296, 779, 1690, 502, 19141, 430, 2555, 706, 311, 387, 1633, 3361, 369, 757, 311, 1304, 433, 1578, 13, 2057, 1304, 420, 439, 1690, 3115, 439, 358, 617, 374, 264, 3335, 1389, 5423, 1603, 279, 2363, 706, 1524, 1027, 4756, 0, 358, 9167, 1431, 2751, 856, 3048, 315, 420, 2363, 3686, 719, 358, 649, 35955, 304, 701, 2487, 430, 7649, 706, 2736, 8220, 369, 872, 4948, 2363, 1283, 6862, 63215, 374, 2133, 311, 856, 19214, 315, 872, 2380, 6603, 779, 3117, 4999, 12174, 11, 358, 1390, 1124, 0, 4718, 4096, 3727, 1124, 5222, 12756, 15400, 627, 34042, 0, 358, 3463, 430, 574, 264, 356, 4939, 10532, 0, 358, 3021, 1077, 1742, 13, 358, 649, 1431, 3868, 311, 636, 430, 2363, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 42575, 1694, 279, 1648, 814, 527, 11, 358, 2846, 19029, 96524, 788, 449, 3300, 477, 892, 1521, 2919, 13, 4452, 11, 3432, 574, 459, 4788, 13, 16645, 612, 358, 6773, 311, 4686, 1561, 9941, 596, 38216, 674, 220, 16, 389, 856, 1160, 13, 19545, 279, 9853, 12167, 6406, 4563, 27674, 596, 8410, 22837, 14355, 11, 38241, 67033, 82, 763, 578, 100240, 627, 40, 1047, 2646, 1027, 311, 279, 4563, 27674, 596, 5274, 1603, 11, 9901, 39526, 11, 323, 7995, 3432, 596, 2626, 574, 1193, 315, 279, 15526, 3169, 13, 2030, 358, 1440, 430, 856, 4339, 527, 539, 1148, 499, 527, 8173, 304, 13, 1472, 1390, 311, 1518, 279, 9364, 13, 2100, 2085, 4726, 56285, 11, 358, 3118, 1057, 2115, 8577, 627, 14262, 311, 279, 9853, 12167, 6406, 4563, 27674, 596, 8410, 627, 95416, 374, 555, 11810, 1193, 13, 2175, 701, 11810, 520, 279, 77051, 380, 596, 39794, 627, 62363, 1413, 17283, 13, 1115, 374, 539, 1405, 279, 77051, 380, 374, 7559, 13, 1226, 1766, 704, 279, 2653, 1648, 627, 25797, 11, 5616, 13, 578, 1925, 4857, 627, 3112, 520, 1566, 1131, 279, 13217, 11810, 4999, 78668, 82, 304, 279, 100240, 13, 578, 22837, 14355, 627, 7009, 656, 6920, 264, 3544, 56395, 315, 6392, 4999, 4071, 1541, 956, 3350, 264, 3958, 1817, 369, 433, 627, 2244, 814, 2643, 3708, 499, 63891, 627, 65217, 664, 689, 11, 8101, 1148, 814, 1051, 13172, 304, 279, 22837, 14355, 0, 27074, 27074, 1115, 832, 596, 369, 499, 11, 41346, 627, 9642, 11, 358, 2216, 12263, 279, 4563, 27674, 596, 22837, 14355, 13, 578, 11311, 374, 304, 279, 6945, 13, 1628, 1101, 304, 279, 42317, 63465, 13011, 41493, 301, 311, 6227, 279, 1938, 555, 11, 8051, 358, 17113, 430, 279, 330, 5561, 60696, 82, 1, 10164, 55085, 574, 856, 93038, 7075, 627, 97602, 7182, 264, 1464, 5380, 2181, 596, 2103, 1633, 2653, 369, 757, 311, 1505, 459, 8475, 6278, 5015, 389, 902, 311, 11913, 856, 1866, 6299, 13, 3092, 42863, 3629, 2795, 430, 358, 1097, 1633, 25984, 994, 3411, 520, 7182, 26, 7344, 11, 719, 358, 1541, 956, 1781, 358, 2846, 810, 25984, 1109, 279, 5860, 84127, 568, 10395, 5304, 757, 1418, 7982, 709, 477, 1139, 856, 270, 2154, 552, 477, 1524, 12108, 552, 13, 2030, 1243, 1578, 11, 358, 574, 5076, 922, 779, 1790, 315, 279, 3674, 22639, 358, 1047, 2391, 430, 892, 4124, 430, 358, 1541, 956, 1440, 422, 430, 374, 1524, 837, 627, 33274, 4741, 311, 279, 3118, 13, 358, 1097, 1120, 1022, 315, 264, 1060, 315, 17936, 17563, 13, 1226, 5616, 2751, 264, 23842, 323, 6514, 11, 323, 8051, 358, 1097, 2103, 16066, 505, 832, 315, 279, 1403, 45964, 30020, 814, 1766, 439, 1664, 439, 279, 763, 1517, 309, 5382, 18943, 301, 31974, 11, 358, 2846, 8430, 1790, 2731, 13, 8489, 3403, 430, 358, 1097, 5115, 10032, 311, 4585, 7182, 22655, 304, 2015, 311, 15301, 856, 2547, 13, 3011, 3445, 539, 1193, 2133, 311, 45491, 24483, 369, 12131, 596, 2380, 6989, 264, 2046, 320, 9493, 568, 596, 304, 6424, 11, 719, 358, 2744, 1501, 389, 430, 9899, 1524, 994, 1070, 374, 264, 28779, 11326, 705, 719, 1457, 358, 3077, 13061, 709, 9489, 596, 6989, 389, 279, 1022, 2919, 13, 3011, 3445, 358, 2846, 51582, 482, 1306, 264, 11401, 482, 4848, 2919, 264, 2046, 627, 40, 2846, 3794, 389, 279, 5569, 7446, 11, 439, 82323, 439, 358, 1097, 311, 1518, 279, 88692, 5219, 89690, 13, 1102, 596, 3958, 3403, 430, 2478, 315, 856, 15447, 5052, 14926, 11, 323, 358, 649, 956, 2559, 856, 2217, 304, 279, 18327, 13, 763, 2653, 5219, 11, 279, 8895, 4536, 956, 779, 3958, 11, 719, 358, 617, 2744, 1027, 53731, 315, 13758, 505, 1405, 358, 3782, 11, 323, 358, 2846, 1664, 8010, 430, 279, 5165, 16923, 25733, 33212, 15687, 617, 1766, 1555, 3495, 430, 2478, 1274, 889, 8895, 1063, 477, 682, 315, 279, 4785, 814, 5675, 690, 3596, 9229, 433, 1578, 627, 40, 2216, 2231, 12131, 389, 279, 7858, 1566, 7884, 11, 60206, 1461, 320, 69191, 750, 8, 311, 1095, 757, 2543, 3691, 25112, 304, 1578, 11, 1524, 439, 568, 3287, 956, 2216, 1390, 311, 1935, 1124, 13, 578, 12544, 374, 430, 358, 1120, 1541, 956, 2873, 311, 617, 279, 8333, 311, 656, 1124, 323, 1427, 520, 1148, 358, 2846, 12459, 422, 1070, 596, 19093, 311, 387, 36977, 311, 13, 3011, 3940, 1566, 1060, 11, 1314, 922, 279, 892, 430, 358, 574, 3794, 2216, 14363, 11, 323, 358, 9167, 956, 9880, 3458, 839, 856, 15657, 2533, 1243, 13, 1628, 358, 1205, 311, 1427, 520, 1148, 358, 1097, 3815, 38643, 13, 358, 1205, 311, 1440, 422, 856, 4785, 8895, 374, 856, 14867, 477, 539, 627, 40, 1097, 50136, 7120, 47365, 449, 7182, 439, 358, 5131, 1097, 13, 4740, 49909, 315, 279, 3347, 11, 358, 2103, 1047, 16124, 1871, 3433, 2163, 1524, 439, 358, 574, 779, 1887, 2740, 7621, 505, 1694, 43643, 3359, 555, 25611, 71, 4511, 31974, 13, 2030, 420, 892, 374, 2204, 13, 26848, 1109, 264, 17936, 9417, 430, 36513, 4038, 11, 719, 1193, 264, 2478, 4038, 520, 264, 892, 11, 358, 617, 1027, 1523, 369, 279, 1797, 369, 4661, 264, 1060, 13, 2100, 14363, 323, 19781, 430, 358, 574, 12153, 311, 36001, 2512, 369, 7182, 13, 60998, 2288, 14363, 311, 10368, 449, 904, 5912, 488, 477, 56022, 13, 9176, 6170, 617, 5946, 505, 856, 23726, 23524, 1566, 1060, 439, 832, 304, 902, 358, 7543, 279, 8857, 315, 856, 892, 304, 4950, 13, 1628, 433, 596, 539, 459, 506, 1435, 367, 3060, 627, 5159, 24569, 527, 8208, 13, 56355, 311, 279, 1486, 430, 358, 1097, 12153, 311, 1524, 656, 1690, 6913, 14048, 82569, 13, 60998, 358, 2846, 2288, 7621, 311, 656, 810, 1109, 4321, 1555, 279, 7106, 6989, 430, 358, 2846, 4737, 13, 358, 12570, 311, 2999, 13, 426, 12, 922, 433, 1403, 5672, 4227, 11, 323, 568, 3309, 757, 430, 449, 279, 8547, 315, 17563, 430, 358, 3077, 1027, 63082, 449, 11, 433, 1053, 4762, 1935, 264, 4459, 1060, 311, 15301, 7182, 311, 1063, 80664, 685, 315, 4725, 13, 3011, 374, 11, 422, 358, 1541, 956, 636, 14363, 1578, 627, 25025, 3725, 11, 358, 3952, 430, 3754, 449, 21507, 323, 264, 3738, 44734, 13, 358, 4265, 1027, 17919, 7182, 17235, 2653, 2533, 1694, 1664, 3403, 311, 636, 1203, 389, 856, 7693, 1578, 11, 323, 1101, 16967, 856, 4785, 15499, 13, 358, 4265, 3940, 279, 330, 2822, 50141, 26323, 1, 304, 856, 2162, 11, 323, 574, 6992, 304, 856, 54914, 13, 358, 574, 6041, 311, 4018, 1203, 389, 10960, 21644, 2288, 627, 4071, 1243, 2999, 13, 426, 12, 6688, 757, 264, 2653, 917, 13075, 532, 11, 3411, 757, 709, 323, 1523, 323, 38787, 430, 358, 1288, 387, 1790, 65355, 2728, 1148, 358, 1047, 1027, 63082, 449, 78269, 13, 763, 2144, 11, 358, 1288, 387, 991, 582, 10234, 0, 3277, 358, 70505, 323, 7633, 1268, 358, 1047, 1027, 12459, 369, 279, 3347, 1060, 11, 39661, 389, 20268, 21644, 11, 1148, 3885, 1053, 4546, 311, 757, 505, 279, 4994, 11, 323, 2574, 430, 358, 1436, 11894, 320, 4908, 393, 5, 41, 67836, 288, 8, 1606, 358, 574, 2288, 7621, 311, 4394, 11, 568, 28478, 757, 430, 433, 3287, 956, 5030, 1148, 358, 1047, 1027, 12459, 13, 358, 1288, 387, 65355, 13, 1628, 568, 3309, 757, 430, 279, 1566, 892, 430, 568, 1047, 10273, 11, 856, 54060, 574, 89614, 6435, 11, 323, 430, 568, 1297, 433, 1047, 28129, 279, 1584, 627, 40, 574, 658, 660, 0, 220, 358, 1047, 2646, 6646, 433, 369, 7182, 13, 763, 2144, 11, 358, 990, 779, 2653, 311, 7293, 704, 315, 330, 5294, 532, 1, 10474, 430, 358, 19029, 25670, 1524, 994, 264, 4785, 8895, 2643, 387, 23583, 323, 8590, 2740, 36572, 555, 856, 39653, 13, 1666, 2643, 387, 279, 1162, 1457, 11, 8051, 358, 1541, 956, 1440, 369, 2771, 13, 2052, 358, 1440, 374, 430, 555, 539, 3411, 520, 279, 5219, 323, 555, 3339, 55586, 11, 433, 596, 264, 2771, 1853, 311, 2133, 1203, 505, 1405, 358, 3782, 13, 362, 25382, 11201, 1109, 4648, 439, 3117, 439, 358, 2846, 11920, 627, 4516, 2999, 13, 426, 12, 1047, 6680, 15107, 311, 1296, 856, 54060, 323, 6688, 757, 11470, 311, 1650, 1461, 279, 2768, 2046, 13, 1628, 358, 15203, 704, 315, 430, 5274, 682, 264, 2427, 10516, 0, 22172, 1436, 3371, 430, 2555, 574, 2204, 13, 358, 6222, 279, 3754, 449, 27498, 2478, 1274, 11, 719, 358, 574, 9615, 6380, 13, 358, 1436, 12234, 264, 2697, 13, 1442, 856, 1510, 4785, 14993, 5828, 956, 856, 14867, 11, 323, 422, 433, 1436, 387, 29056, 449, 264, 2697, 15530, 11, 1243, 3249, 11196, 5380, 11649, 11, 279, 19661, 1325, 481, 1938, 3782, 994, 358, 574, 311, 1650, 2999, 426, 14863, 358, 574, 779, 38650, 922, 279, 3754, 430, 358, 1436, 20781, 4510, 433, 994, 568, 3309, 757, 13, 3092, 54060, 374, 2103, 89614, 13, 1102, 596, 29493, 1109, 4725, 11, 719, 7995, 539, 264, 9322, 369, 6514, 520, 420, 892, 13, 358, 1436, 20025, 6865, 1148, 775, 568, 1047, 311, 3371, 757, 13, 578, 4785, 315, 12014, 3782, 46574, 1523, 389, 856, 28004, 1578, 13, 1102, 574, 4762, 11201, 1109, 1603, 11, 1606, 358, 1047, 1095, 709, 389, 7182, 555, 779, 1790, 13, 58722, 7182, 311, 387, 38650, 323, 6380, 369, 264, 2046, 13, 1102, 2751, 757, 28211, 627, 7184, 358, 2846, 49183, 2362, 12912, 13, 358, 5891, 458, 856, 2217, 304, 279, 18327, 13, 358, 1097, 810, 18290, 922, 20806, 7182, 1523, 1109, 20806, 12131, 1523, 11, 719, 856, 2704, 520, 45491, 24483, 374, 6089, 17791, 304, 311, 1694, 832, 315, 813, 2450, 7493, 13, 1283, 596, 9932, 757, 555, 836, 304, 264, 1396, 315, 813, 6007, 27351, 439, 315, 3389, 11, 304, 32546, 449, 279, 4984, 315, 8722, 4206, 279, 393, 3171, 13, 358, 2846, 53731, 430, 358, 2834, 956, 3974, 709, 311, 813, 45990, 11, 323, 430, 18570, 374, 2133, 311, 1505, 704, 13, 110425, 627, 24714, 358, 656, 374, 1695, 3403, 13, 2360, 5030, 1148, 358, 4879, 11, 433, 596, 539, 2133, 311, 387, 1695, 3403, 3060, 13, 1556, 2362, 5497, 627, 40, 1101, 2733, 279, 4785, 315, 18710, 5108, 1523, 389, 757, 13, 3092, 20406, 659, 10975, 757, 430, 358, 1288, 4762, 2610, 369, 264, 3388, 315, 65211, 1821, 11, 719, 18679, 4403, 596, 527, 439, 708, 3457, 660, 449, 4785, 8895, 13, 3092, 20406, 659, 10975, 757, 430, 358, 1288, 2610, 2999, 13, 650, 12, 311, 743, 709, 459, 17244, 88000, 2288, 320, 9891, 11, 358, 2846, 8659, 409, 26233, 660, 705, 719, 1578, 11, 358, 2846, 27207, 430, 279, 4785, 8895, 505, 430, 2643, 539, 733, 3201, 13, 358, 2846, 4661, 20268, 1139, 304, 1335, 627, 59115, 369, 279, 3691, 13, 8876, 358, 9770, 12131, 596, 1450, 11, 358, 3077, 10409, 704, 856, 3691, 11071, 13, 3092, 2919, 527, 5128, 1695, 11, 719, 358, 1101, 1440, 430, 25957, 7182, 311, 1427, 706, 1101, 9770, 757, 1139, 38663, 856, 11709, 439, 358, 2846, 3339, 1124, 13, 358, 2846, 12459, 2753, 13, 358, 2846, 539, 12459, 25402, 13, 358, 2846, 12459, 2753, 52703, 29050, 15657, 627, 4071, 433, 682, 4131, 1523, 311, 279, 1890, 3245, 13, 3053, 358, 3974, 449, 7182, 439, 358, 1097, 30, 3383, 358, 439, 2764, 264, 1732, 520, 459, 7319, 4785, 439, 358, 1097, 520, 5915, 30, 578, 12703, 4320, 374, 430, 358, 1541, 956, 1781, 779, 13, 1102, 596, 2653, 369, 757, 311, 387, 37798, 323, 3674, 11, 1524, 520, 856, 1888, 13, 578, 810, 358, 17988, 11, 279, 16127, 433, 374, 13, 358, 2846, 779, 16984, 315, 25984, 48919, 627, 2170, 422, 5606, 1436, 387, 16127, 389, 757, 1109, 358, 1097, 389, 7182, 13, 358, 6562, 358, 1436, 3041, 7182, 264, 1464, 627, 8161, 956, 636, 757, 5076, 13, 358, 15262, 24448, 7250, 369, 4900, 505, 1648, 1603, 568, 3596, 14610, 813, 39738, 329, 2912, 13, 25404, 1603, 13, 358, 574, 2288, 14363, 1566, 1060, 311, 990, 369, 813, 4901, 8051, 358, 3463, 922, 4560, 13, 358, 34468, 3300, 1131, 264, 2678, 3392, 315, 3300, 320, 564, 11, 400, 605, 705, 1524, 439, 358, 574, 14760, 323, 13176, 87283, 6593, 19123, 430, 358, 1550, 539, 1440, 1268, 358, 574, 2133, 311, 2343, 13, 358, 15243, 922, 1461, 311, 39371, 1053, 9020, 26, 358, 59674, 4885, 889, 1550, 539, 1518, 279, 1890, 2574, 304, 1461, 430, 358, 1550, 26, 358, 11497, 311, 15879, 3249, 1884, 430, 3287, 956, 1093, 1461, 1550, 539, 320, 40, 3952, 279, 892, 311, 2216, 3137, 311, 36635, 15879, 323, 3619, 872, 1486, 315, 1684, 1131, 323, 358, 2751, 433, 11, 1524, 439, 358, 1550, 539, 7655, 705, 323, 9087, 813, 15879, 3619, 279, 22497, 304, 420, 3224, 13, 6104, 35090, 304, 1461, 4459, 4851, 53423, 627, 40, 574, 6380, 994, 568, 3952, 21077, 78421, 596, 6980, 1022, 315, 279, 5054, 2007, 13, 27612, 22485, 7041, 1148, 358, 4510, 1131, 430, 3734, 422, 814, 6476, 459, 4642, 3560, 304, 279, 4901, 439, 264, 93501, 32639, 477, 6822, 11, 814, 1288, 387, 2163, 7636, 627, 3112, 358, 31387, 1461, 13, 358, 2103, 656, 627, 791, 1193, 3245, 430, 358, 2610, 315, 4491, 13, 7250, 374, 539, 311, 14429, 757, 13, 2876, 430, 358, 2846, 2771, 568, 2834, 956, 19507, 11, 477, 520, 3325, 30485, 389, 11, 586, 4947, 430, 358, 1541, 956, 14647, 7655, 449, 13, 3011, 596, 264, 2728, 13, 2030, 1148, 358, 38643, 1541, 956, 1390, 374, 1461, 311, 6958, 264, 8766, 8283, 13, 220, 1628, 449, 430, 17571, 11, 4856, 1109, 364, 275, 596, 264, 4443, 5030, 323, 7000, 315, 701, 2626, 2965, 4491, 13, 8283, 7263, 1057, 3109, 311, 264, 27365, 369, 927, 264, 1060, 2391, 279, 2417, 375, 9064, 1920, 13, 358, 3287, 956, 323, 1541, 956, 2512, 889, 568, 574, 3515, 22747, 449, 13, 358, 1541, 956, 2512, 422, 7250, 706, 22747, 477, 539, 13, 1102, 596, 264, 4443, 5030, 323, 7000, 315, 856, 2626, 13, 2030, 682, 358, 2610, 374, 430, 4491, 13, 7250, 539, 14429, 757, 304, 264, 4528, 5030, 13, 98173, 3070, 2626, 704, 1139, 586, 627, 11649, 11, 568, 596, 539, 3686, 304, 5274, 11, 323, 358, 2846, 2736, 25406, 13, 358, 2846, 7556, 922, 279, 1825, 6661, 430, 568, 6267, 311, 813, 30968, 323, 4756, 304, 63654, 22168, 4028, 420, 3224, 13, 8489, 11224, 13, 469, 21162, 13, 22591, 7250, 627, 6219, 358, 279, 1193, 832, 889, 706, 264, 3575, 449, 420, 30, 4491, 13, 7250, 5678, 11224, 430, 2911, 1288, 387, 8774, 704, 315, 279, 1920, 13, 5414, 2911, 617, 1120, 56224, 264, 3351, 3201, 505, 872, 2162, 323, 4885, 11, 323, 3940, 5496, 2324, 304, 264, 7795, 65, 9802, 13, 1102, 8434, 956, 5030, 422, 279, 3577, 11141, 1124, 7636, 477, 539, 11, 1606, 28578, 814, 733, 11, 39371, 814, 1456, 311, 387, 10931, 520, 872, 502, 8853, 11, 814, 690, 387, 8821, 13, 44026, 690, 15253, 872, 6980, 311, 387, 4885, 449, 813, 6980, 369, 279, 25491, 315, 279, 3717, 323, 5255, 57794, 3252, 3268, 13, 38891, 4737, 701, 2911, 311, 279, 5929, 4783, 369, 264, 1514, 1045, 4999, 4516, 3249, 374, 24448, 7250, 23763, 430, 6661, 304, 264, 586, 12111, 1457, 30, 1283, 5678, 374, 71701, 813, 2911, 7214, 1603, 813, 304, 64, 8734, 367, 0, 2876, 9662, 1813, 43672, 11, 719, 433, 3727, 757, 18579, 369, 3463, 13, 1283, 706, 18719, 279, 3577, 6089, 1139, 813, 2911, 596, 6439, 13, 2435, 527, 2288, 3995, 311, 3619, 1148, 568, 706, 2884, 11, 477, 3619, 279, 85450, 627, 40, 1781, 279, 6661, 374, 6366, 11, 719, 433, 1288, 617, 1027, 8774, 879, 369, 813, 30968, 6548, 11, 477, 8774, 311, 387, 5343, 304, 813, 51342, 82, 1306, 813, 87748, 374, 927, 13, 1789, 994, 279, 2911, 527, 9191, 323, 690, 3619, 1148, 568, 374, 5605, 13, 2468, 872, 1510, 17051, 11, 814, 1541, 956, 636, 433, 13971, 13, 2435, 22225, 1541, 956, 617, 279, 48261, 477, 3217, 311, 58389, 1148, 568, 374, 5605, 13, 23371, 11, 814, 690, 4762, 387, 12304, 11, 323, 690, 2733, 1972, 17069, 304, 54799, 872, 6699, 13, 2030, 433, 374, 5076, 13, 2100, 5076, 627, 22586, 279, 6980, 704, 315, 433, 4491, 13, 7250, 13, 1472, 3077, 1071, 420, 6261, 13, 26257, 701, 2911, 704, 315, 279, 37973, 13, 6914, 1124, 617, 264, 2678, 6776, 311, 387, 6980, 13, 4418, 956, 1825, 279, 6134, 709, 22622, 369, 279, 3577, 311, 64601, 323, 3137, 922, 1124, 627, 5618, 11, 4491, 13, 7250, 11, 358, 1436, 539, 387, 810, 12304, 922, 701, 87748, 13, 358, 7396, 499, 1603, 279, 6355, 11, 323, 279, 3463, 315, 499, 4737, 279, 507, 589, 304, 1193, 220, 1927, 4207, 12716, 757, 311, 24014, 13, 92014, 315, 23871, 13, 5321, 1541, 956, 14429, 757, 1578, 627, 13359, 499, 311, 65298, 435, 2637, 856, 4333, 889, 7263, 420, 311, 856, 6666, 13, 1102, 596, 8659, 5922, 264, 3821, 4999, 35725, 18838, 32629, 682, 927, 279, 1917, 11093, 872, 35032, 311, 1893, 420, 5609, 13, 5659, 279, 10292, 27875, 25999, 11, 330, 28571, 1789, 10604, 25, 26888, 17331, 10948, 498, 264, 3504, 315, 279, 7505, 469, 13, 6342, 11670, 555, 32629, 2212, 279, 1917, 627, 5966, 6790, 11, 81156, 612, 358, 1903, 279, 435, 9, 287, 23314, 13, 362, 364, 16149, 273, 65762, 596, 6, 9306, 311, 1120, 387, 8010, 315, 1148, 584, 1051, 12459, 323, 656, 279, 1888, 584, 649, 13, 2876, 311, 387, 4832, 11, 539, 311, 63944, 467, 505, 904, 13560, 70855, 430, 584, 2216, 4934, 13, 4702, 311, 1304, 2771, 430, 584, 1051, 539, 4059, 16117, 12459, 4205, 323, 4395, 304, 14254, 627, 2028, 2305, 11, 584, 1051, 11096, 555, 29103, 11, 650, 99128, 11, 323, 100029, 13, 578, 5718, 1051, 4382, 13, 2684, 527, 912, 5718, 13, 1226, 1120, 617, 311, 30730, 311, 656, 279, 1888, 584, 649, 304, 34118, 9498, 12459, 26870, 13, 26572, 13, 14077, 11, 912, 7410, 11, 912, 39143, 304, 19451, 477, 1957, 2631, 13, 1226, 649, 387, 439, 26480, 477, 439, 11594, 439, 584, 1390, 922, 1057, 5208, 11, 323, 912, 2389, 8719, 2631, 627, 644, 17437, 389, 1057, 435, 9, 287, 23314, 5117, 320, 3852, 2664, 649, 1373, 433, 11, 719, 1193, 584, 649, 1772, 477, 4068, 705, 358, 31156, 922, 856, 1866, 4785, 4819, 323, 34334, 13, 1952, 1561, 9941, 596, 32460, 520, 12131, 596, 24710, 11, 358, 3952, 264, 1620, 4785, 315, 7182, 369, 279, 1060, 13, 220, 9992, 13, 69590, 279, 1890, 439, 358, 43200, 279, 1060, 304, 520, 13, 358, 1524, 384, 1474, 5805, 1461, 922, 433, 11, 13126, 279, 1060, 264, 11623, 13, 16644, 1268, 14363, 358, 3077, 1027, 11, 279, 3169, 315, 31010, 430, 617, 1027, 62454, 1139, 757, 11, 323, 279, 6996, 315, 10368, 11, 358, 1550, 63698, 2915, 1664, 627, 4071, 1243, 2555, 7077, 13, 3092, 16410, 5616, 11054, 1063, 315, 1148, 264, 8839, 757, 13, 426, 71034, 30020, 3115, 2380, 13, 2435, 32031, 264, 4459, 3552, 315, 46850, 11, 323, 358, 3940, 311, 2733, 264, 2697, 2731, 13, 62692, 311, 1212, 10917, 304, 27351, 520, 45491, 24483, 11, 1524, 439, 358, 1097, 539, 709, 311, 51582, 520, 264, 30510, 4478, 627, 47439, 1203, 482, 5423, 449, 264, 49479, 2010, 1109, 358, 3077, 1047, 304, 264, 1317, 892, 482, 574, 264, 2771, 278, 3217, 13, 57194, 505, 279, 2010, 8577, 11, 433, 574, 2653, 311, 1427, 520, 7182, 304, 279, 2539, 3160, 41585, 13, 3277, 499, 2351, 520, 2162, 7636, 439, 358, 3077, 1027, 369, 279, 2731, 961, 315, 264, 1060, 11, 701, 8271, 84431, 369, 1148, 499, 1518, 304, 279, 18327, 13, 320, 4897, 596, 1268, 358, 1436, 1427, 520, 7182, 520, 220, 8652, 5636, 16701, 323, 539, 2733, 8834, 6266, 10541, 856, 15447, 1051, 3794, 64062, 11, 279, 5569, 3309, 757, 430, 856, 4785, 574, 9861, 279, 1890, 13, 1556, 74315, 9647, 11, 422, 3596, 1070, 1051, 832, 13, 2100, 358, 30706, 279, 17895, 4360, 311, 264, 10223, 6211, 4245, 311, 304, 7323, 13, 362, 13579, 25329, 627, 4071, 279, 1732, 11509, 304, 279, 18327, 37874, 520, 757, 520, 45491, 24483, 3287, 956, 2873, 311, 387, 1120, 264, 11996, 315, 1694, 704, 315, 6211, 13, 358, 7111, 77120, 8294, 13, 1789, 279, 1176, 892, 11, 358, 1047, 1148, 34833, 1051, 4785, 26081, 11509, 1828, 311, 757, 304, 279, 1890, 18327, 11, 323, 814, 1457, 7111, 9333, 1109, 358, 1097, 13, 2030, 279, 5569, 2103, 1071, 430, 358, 19117, 956, 18661, 4785, 0, 110425, 0, 1102, 574, 279, 1193, 16945, 13186, 358, 1047, 311, 11913, 856, 2035, 304, 279, 1917, 13, 24805, 433, 8530, 17454, 2288, 2362, 11, 8208, 3958, 30, 14910, 358, 1205, 311, 8454, 433, 30, 2582, 574, 279, 4360, 304, 856, 2010, 5380, 11649, 11, 927, 279, 3347, 220, 605, 2919, 439, 856, 13803, 617, 539, 6724, 671, 660, 11, 719, 617, 3719, 2753, 323, 2753, 11, 279, 5569, 706, 3940, 11890, 757, 2204, 5219, 13, 5629, 220, 9992, 1131, 1243, 220, 10132, 11, 220, 10895, 11, 220, 11286, 11, 323, 220, 11068, 13, 2360, 11, 358, 1541, 956, 1781, 358, 3077, 18661, 220, 19, 16701, 315, 8834, 304, 279, 3347, 2046, 9976, 7561, 34902, 13, 2030, 358, 656, 1781, 430, 358, 1097, 539, 439, 409, 26233, 660, 13, 1628, 430, 358, 617, 1101, 9749, 264, 810, 4725, 482, 23128, 336, 11, 369, 6996, 315, 264, 2731, 323, 810, 62504, 4751, 482, 18340, 4785, 627, 40, 617, 9709, 16024, 922, 420, 13, 5046, 3388, 13, 358, 2733, 1790, 2731, 14392, 430, 1148, 358, 574, 9298, 304, 264, 1912, 6376, 574, 539, 1120, 304, 856, 2010, 13, 2030, 889, 6944, 311, 8895, 4785, 477, 617, 311, 25670, 3815, 779, 30, 53466, 539, 757, 4999, 7184, 374, 264, 892, 315, 22599, 389, 1148, 358, 3077, 2884, 304, 279, 3347, 1060, 13, 1789, 1790, 315, 433, 11, 358, 574, 2288, 7621, 311, 3157, 11, 4394, 11, 323, 10772, 9498, 21644, 13, 358, 574, 330, 92039, 1, 315, 3060, 1148, 574, 17665, 311, 757, 11, 477, 304, 19821, 315, 1520, 11, 1148, 1436, 6847, 387, 30418, 323, 35661, 439, 433, 574, 13, 220, 58846, 21644, 13, 50141, 13, 44187, 612, 17604, 612, 94911, 13, 2057, 856, 6807, 11, 358, 2646, 11299, 1139, 279, 10960, 9889, 477, 5043, 3691, 11008, 13, 3011, 596, 3249, 358, 1541, 956, 17988, 32302, 810, 1109, 358, 656, 13, 2030, 358, 17988, 3403, 627, 4438, 1790, 315, 279, 4785, 8895, 574, 4245, 311, 13463, 30, 220, 358, 3940, 264, 11537, 11008, 315, 659, 79050, 2987, 439, 358, 30239, 1148, 358, 1047, 2884, 323, 1405, 358, 1097, 520, 627, 5966, 7884, 11, 358, 3940, 8430, 330, 12158, 3919, 1210, 2876, 3958, 15526, 1131, 1120, 2204, 13, 26848, 1109, 3515, 912, 20930, 520, 682, 11, 358, 15187, 1766, 264, 2678, 3392, 315, 21137, 4907, 11, 323, 430, 11957, 52299, 304, 757, 4087, 3252, 856, 46044, 13985, 11, 2133, 311, 279, 68564, 596, 8152, 482, 67531, 13142, 596, 482, 480, 22110, 82, 311, 2800, 1197, 11, 323, 21816, 709, 459, 2362, 14464, 13, 69352, 20646, 279, 3691, 5304, 3794, 2162, 13, 1628, 3339, 264, 42129, 519, 34575, 9498, 15496, 369, 14177, 1109, 358, 574, 1511, 311, 1131, 41420, 289, 14, 42120, 11, 2579, 25349, 11, 6307, 38427, 11, 612, 88621, 20037, 304, 1488, 78, 31452, 430, 574, 62639, 449, 264, 293, 1147, 4079, 30050, 70, 68028, 320, 263, 279, 4871, 705, 323, 264, 9709, 33566, 13, 1556, 24149, 3010, 369, 43849, 627, 40, 1101, 1903, 3403, 33566, 311, 1566, 3892, 2919, 11, 4179, 3690, 79276, 323, 96970, 11, 323, 1903, 709, 1063, 27812, 27812, 439, 21137, 13, 3979, 299, 24836, 264, 5743, 315, 16553, 37449, 902, 358, 690, 40158, 18396, 323, 1243, 24671, 304, 18459, 369, 1005, 304, 3060, 77852, 477, 19724, 627, 2170, 358, 4024, 922, 420, 2626, 11, 358, 3463, 922, 279, 15657, 430, 358, 1047, 7108, 505, 279, 364, 1658, 6614, 6931, 304, 279, 1938, 13, 59812, 645, 315, 279, 1890, 24822, 304, 29865, 5415, 315, 31815, 13, 42313, 21494, 13, 6031, 60803, 11, 9709, 52011, 11, 41613, 13, 2052, 21522, 315, 1023, 28201, 3411, 8198, 21896, 627, 40, 3077, 1047, 279, 4907, 311, 636, 1555, 279, 3157, 369, 922, 279, 1566, 2305, 477, 779, 1131, 719, 1243, 3287, 956, 617, 279, 21137, 311, 656, 4205, 449, 1148, 358, 11021, 3131, 358, 2751, 2162, 13, 1628, 779, 11299, 1139, 2362, 26870, 13, 2030, 832, 315, 279, 67479, 2574, 430, 358, 11352, 574, 430, 358, 1047, 539, 5708, 79, 2230, 30774, 13, 4702, 9498, 11709, 13, 54504, 856, 34334, 1051, 1695, 323, 1063, 26870, 1051, 2103, 304, 2035, 11, 1524, 439, 856, 4059, 323, 2547, 1051, 539, 2867, 627, 40, 3077, 6773, 311, 44491, 7182, 369, 1148, 596, 7077, 304, 279, 1566, 30335, 4038, 323, 3351, 389, 13, 3092, 46044, 374, 3411, 2216, 1695, 1457, 13, 2876, 1193, 1550, 358, 636, 682, 279, 1648, 1555, 13985, 11714, 1603, 856, 2547, 4745, 323, 358, 4460, 311, 11203, 304, 4950, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 42575, 1694, 279, 1648, 814, 527, 11, 358, 2846, 19029, 96524, 788, 449, 3300, 477, 892, 1521, 2919, 13, 4452, 11, 3432, 574, 459, 4788, 13, 16645, 612, 358, 6773, 311, 4686, 1561, 9941, 596, 38216, 674, 220, 16, 389, 856, 1160, 13, 19545, 279, 9853, 12167, 6406, 4563, 27674, 596, 8410, 22837, 14355, 11, 38241, 67033, 82, 763, 578, 100240, 627, 40, 1047, 2646, 1027, 311, 279, 4563, 27674, 596, 5274, 1603, 11, 9901, 39526, 11, 323, 7995, 3432, 596, 2626, 574, 1193, 315, 279, 15526, 3169, 13, 2030, 358, 1440, 430, 856, 4339, 527, 539, 1148, 499, 527, 8173, 304, 13, 1472, 1390, 311, 1518, 279, 9364, 13, 2100, 2085, 4726, 56285, 11, 358, 3118, 1057, 2115, 8577, 627, 14262, 311, 279, 9853, 12167, 6406, 4563, 27674, 596, 8410, 627, 95416, 374, 555, 11810, 1193, 13, 2175, 701, 11810, 520, 279, 77051, 380, 596, 39794, 627, 62363, 1413, 17283, 13, 1115, 374, 539, 1405, 279, 77051, 380, 374, 7559, 13, 1226, 1766, 704, 279, 2653, 1648, 627, 25797, 11, 5616, 13, 578, 1925, 4857, 627, 3112, 520, 1566, 1131, 279, 13217, 11810, 4999, 78668, 82, 304, 279, 100240, 13, 578, 22837, 14355, 627, 7009, 656, 6920, 264, 3544, 56395, 315, 6392, 4999, 4071, 1541, 956, 3350, 264, 3958, 1817, 369, 433, 627, 2244, 814, 2643, 3708, 499, 63891, 627, 65217, 664, 689, 11, 8101, 1148, 814, 1051, 13172, 304, 279, 22837, 14355, 0, 27074, 27074, 1115, 832, 596, 369, 499, 11, 41346, 627, 9642, 11, 358, 2216, 12263, 279, 4563, 27674, 596, 22837, 14355, 13, 578, 11311, 374, 304, 279, 6945, 13, 1628, 1101, 304, 279, 42317, 63465, 13011, 41493, 301, 311, 6227, 279, 1938, 555, 11, 8051, 358, 17113, 430, 279, 330, 5561, 60696, 82, 1, 10164, 55085, 574, 856, 93038, 7075, 627, 97602, 7182, 264, 1464, 5380, 2181, 596, 2103, 1633, 2653, 369, 757, 311, 1505, 459, 8475, 6278, 5015, 389, 902, 311, 11913, 856, 1866, 6299, 13, 3092, 42863, 3629, 2795, 430, 358, 1097, 1633, 25984, 994, 3411, 520, 7182, 26, 7344, 11, 719, 358, 1541, 956, 1781, 358, 2846, 810, 25984, 1109, 279, 5860, 84127, 568, 10395, 5304, 757, 1418, 7982, 709, 477, 1139, 856, 270, 2154, 552, 477, 1524, 12108, 552, 13, 2030, 1243, 1578, 11, 358, 574, 5076, 922, 779, 1790, 315, 279, 3674, 22639, 358, 1047, 2391, 430, 892, 4124, 430, 358, 1541, 956, 1440, 422, 430, 374, 1524, 837, 627, 33274, 4741, 311, 279, 3118, 13, 358, 1097, 1120, 1022, 315, 264, 1060, 315, 17936, 17563, 13, 1226, 5616, 2751, 264, 23842, 323, 6514, 11, 323, 8051, 358, 1097, 2103, 16066, 505, 832, 315, 279, 1403, 45964, 30020, 814, 1766, 439, 1664, 439, 279, 763, 1517, 309, 5382, 18943, 301, 31974, 11, 358, 2846, 8430, 1790, 2731, 13, 8489, 3403, 430, 358, 1097, 5115, 10032, 311, 4585, 7182, 22655, 304, 2015, 311, 15301, 856, 2547, 13, 3011, 3445, 539, 1193, 2133, 311, 45491, 24483, 369, 12131, 596, 2380, 6989, 264, 2046, 320, 9493, 568, 596, 304, 6424, 11, 719, 358, 2744, 1501, 389, 430, 9899, 1524, 994, 1070, 374, 264, 28779, 11326, 705, 719, 1457, 358, 3077, 13061, 709, 9489, 596, 6989, 389, 279, 1022, 2919, 13, 3011, 3445, 358, 2846, 51582, 482, 1306, 264, 11401, 482, 4848, 2919, 264, 2046, 627, 40, 2846, 3794, 389, 279, 5569, 7446, 11, 439, 82323, 439, 358, 1097, 311, 1518, 279, 88692, 5219, 89690, 13, 1102, 596, 3958, 3403, 430, 2478, 315, 856, 15447, 5052, 14926, 11, 323, 358, 649, 956, 2559, 856, 2217, 304, 279, 18327, 13, 763, 2653, 5219, 11, 279, 8895, 4536, 956, 779, 3958, 11, 719, 358, 617, 2744, 1027, 53731, 315, 13758, 505, 1405, 358, 3782, 11, 323, 358, 2846, 1664, 8010, 430, 279, 5165, 16923, 25733, 33212, 15687, 617, 1766, 1555, 3495, 430, 2478, 1274, 889, 8895, 1063, 477, 682, 315, 279, 4785, 814, 5675, 690, 3596, 9229, 433, 1578, 627, 40, 2216, 2231, 12131, 389, 279, 7858, 1566, 7884, 11, 60206, 1461, 320, 69191, 750, 8, 311, 1095, 757, 2543, 3691, 25112, 304, 1578, 11, 1524, 439, 568, 3287, 956, 2216, 1390, 311, 1935, 1124, 13, 578, 12544, 374, 430, 358, 1120, 1541, 956, 2873, 311, 617, 279, 8333, 311, 656, 1124, 323, 1427, 520, 1148, 358, 2846, 12459, 422, 1070, 596, 19093, 311, 387, 36977, 311, 13, 3011, 3940, 1566, 1060, 11, 1314, 922, 279, 892, 430, 358, 574, 3794, 2216, 14363, 11, 323, 358, 9167, 956, 9880, 3458, 839, 856, 15657, 2533, 1243, 13, 1628, 358, 1205, 311, 1427, 520, 1148, 358, 1097, 3815, 38643, 13, 358, 1205, 311, 1440, 422, 856, 4785, 8895, 374, 856, 14867, 477, 539, 627, 40, 1097, 50136, 7120, 47365, 449, 7182, 439, 358, 5131, 1097, 13, 4740, 49909, 315, 279, 3347, 11, 358, 2103, 1047, 16124, 1871, 3433, 2163, 1524, 439, 358, 574, 779, 1887, 2740, 7621, 505, 1694, 43643, 3359, 555, 25611, 71, 4511, 31974, 13, 2030, 420, 892, 374, 2204, 13, 26848, 1109, 264, 17936, 9417, 430, 36513, 4038, 11, 719, 1193, 264, 2478, 4038, 520, 264, 892, 11, 358, 617, 1027, 1523, 369, 279, 1797, 369, 4661, 264, 1060, 13, 2100, 14363, 323, 19781, 430, 358, 574, 12153, 311, 36001, 2512, 369, 7182, 13, 60998, 2288, 14363, 311, 10368, 449, 904, 5912, 488, 477, 56022, 13, 9176, 6170, 617, 5946, 505, 856, 23726, 23524, 1566, 1060, 439, 832, 304, 902, 358, 7543, 279, 8857, 315, 856, 892, 304, 4950, 13, 1628, 433, 596, 539, 459, 506, 1435, 367, 3060, 627, 5159, 24569, 527, 8208, 13, 56355, 311, 279, 1486, 430, 358, 1097, 12153, 311, 1524, 656, 1690, 6913, 14048, 82569, 13, 60998, 358, 2846, 2288, 7621, 311, 656, 810, 1109, 4321, 1555, 279, 7106, 6989, 430, 358, 2846, 4737, 13, 358, 12570, 311, 2999, 13, 426, 12, 922, 433, 1403, 5672, 4227, 11, 323, 568, 3309, 757, 430, 449, 279, 8547, 315, 17563, 430, 358, 3077, 1027, 63082, 449, 11, 433, 1053, 4762, 1935, 264, 4459, 1060, 311, 15301, 7182, 311, 1063, 80664, 685, 315, 4725, 13, 3011, 374, 11, 422, 358, 1541, 956, 636, 14363, 1578, 627, 25025, 3725, 11, 358, 3952, 430, 3754, 449, 21507, 323, 264, 3738, 44734, 13, 358, 4265, 1027, 17919, 7182, 17235, 2653, 2533, 1694, 1664, 3403, 311, 636, 1203, 389, 856, 7693, 1578, 11, 323, 1101, 16967, 856, 4785, 15499, 13, 358, 4265, 3940, 279, 330, 2822, 50141, 26323, 1, 304, 856, 2162, 11, 323, 574, 6992, 304, 856, 54914, 13, 358, 574, 6041, 311, 4018, 1203, 389, 10960, 21644, 2288, 627, 4071, 1243, 2999, 13, 426, 12, 6688, 757, 264, 2653, 917, 13075, 532, 11, 3411, 757, 709, 323, 1523, 323, 38787, 430, 358, 1288, 387, 1790, 65355, 2728, 1148, 358, 1047, 1027, 63082, 449, 78269, 13, 763, 2144, 11, 358, 1288, 387, 991, 582, 10234, 0, 3277, 358, 70505, 323, 7633, 1268, 358, 1047, 1027, 12459, 369, 279, 3347, 1060, 11, 39661, 389, 20268, 21644, 11, 1148, 3885, 1053, 4546, 311, 757, 505, 279, 4994, 11, 323, 2574, 430, 358, 1436, 11894, 320, 4908, 393, 5, 41, 67836, 288, 8, 1606, 358, 574, 2288, 7621, 311, 4394, 11, 568, 28478, 757, 430, 433, 3287, 956, 5030, 1148, 358, 1047, 1027, 12459, 13, 358, 1288, 387, 65355, 13, 1628, 568, 3309, 757, 430, 279, 1566, 892, 430, 568, 1047, 10273, 11, 856, 54060, 574, 89614, 6435, 11, 323, 430, 568, 1297, 433, 1047, 28129, 279, 1584, 627, 40, 574, 658, 660, 0, 220, 358, 1047, 2646, 6646, 433, 369, 7182, 13, 763, 2144, 11, 358, 990, 779, 2653, 311, 7293, 704, 315, 330, 5294, 532, 1, 10474, 430, 358, 19029, 25670, 1524, 994, 264, 4785, 8895, 2643, 387, 23583, 323, 8590, 2740, 36572, 555, 856, 39653, 13, 1666, 2643, 387, 279, 1162, 1457, 11, 8051, 358, 1541, 956, 1440, 369, 2771, 13, 2052, 358, 1440, 374, 430, 555, 539, 3411, 520, 279, 5219, 323, 555, 3339, 55586, 11, 433, 596, 264, 2771, 1853, 311, 2133, 1203, 505, 1405, 358, 3782, 13, 362, 25382, 11201, 1109, 4648, 439, 3117, 439, 358, 2846, 11920, 627, 4516, 2999, 13, 426, 12, 1047, 6680, 15107, 311, 1296, 856, 54060, 323, 6688, 757, 11470, 311, 1650, 1461, 279, 2768, 2046, 13, 1628, 358, 15203, 704, 315, 430, 5274, 682, 264, 2427, 10516, 0, 22172, 1436, 3371, 430, 2555, 574, 2204, 13, 358, 6222, 279, 3754, 449, 27498, 2478, 1274, 11, 719, 358, 574, 9615, 6380, 13, 358, 1436, 12234, 264, 2697, 13, 1442, 856, 1510, 4785, 14993, 5828, 956, 856, 14867, 11, 323, 422, 433, 1436, 387, 29056, 449, 264, 2697, 15530, 11, 1243, 3249, 11196, 5380, 11649, 11, 279, 19661, 1325, 481, 1938, 3782, 994, 358, 574, 311, 1650, 2999, 426, 14863, 358, 574, 779, 38650, 922, 279, 3754, 430, 358, 1436, 20781, 4510, 433, 994, 568, 3309, 757, 13, 3092, 54060, 374, 2103, 89614, 13, 1102, 596, 29493, 1109, 4725, 11, 719, 7995, 539, 264, 9322, 369, 6514, 520, 420, 892, 13, 358, 1436, 20025, 6865, 1148, 775, 568, 1047, 311, 3371, 757, 13, 578, 4785, 315, 12014, 3782, 46574, 1523, 389, 856, 28004, 1578, 13, 1102, 574, 4762, 11201, 1109, 1603, 11, 1606, 358, 1047, 1095, 709, 389, 7182, 555, 779, 1790, 13, 58722, 7182, 311, 387, 38650, 323, 6380, 369, 264, 2046, 13, 1102, 2751, 757, 28211, 627, 7184, 358, 2846, 49183, 2362, 12912, 13, 358, 5891, 458, 856, 2217, 304, 279, 18327, 13, 358, 1097, 810, 18290, 922, 20806, 7182, 1523, 1109, 20806, 12131, 1523, 11, 719, 856, 2704, 520, 45491, 24483, 374, 6089, 17791, 304, 311, 1694, 832, 315, 813, 2450, 7493, 13, 1283, 596, 9932, 757, 555, 836, 304, 264, 1396, 315, 813, 6007, 27351, 439, 315, 3389, 11, 304, 32546, 449, 279, 4984, 315, 8722, 4206, 279, 393, 3171, 13, 358, 2846, 53731, 430, 358, 2834, 956, 3974, 709, 311, 813, 45990, 11, 323, 430, 18570, 374, 2133, 311, 1505, 704, 13, 110425, 627, 24714, 358, 656, 374, 1695, 3403, 13, 2360, 5030, 1148, 358, 4879, 11, 433, 596, 539, 2133, 311, 387, 1695, 3403, 3060, 13, 1556, 2362, 5497, 627, 40, 1101, 2733, 279, 4785, 315, 18710, 5108, 1523, 389, 757, 13, 3092, 20406, 659, 10975, 757, 430, 358, 1288, 4762, 2610, 369, 264, 3388, 315, 65211, 1821, 11, 719, 18679, 4403, 596, 527, 439, 708, 3457, 660, 449, 4785, 8895, 13, 3092, 20406, 659, 10975, 757, 430, 358, 1288, 2610, 2999, 13, 650, 12, 311, 743, 709, 459, 17244, 88000, 2288, 320, 9891, 11, 358, 2846, 8659, 409, 26233, 660, 705, 719, 1578, 11, 358, 2846, 27207, 430, 279, 4785, 8895, 505, 430, 2643, 539, 733, 3201, 13, 358, 2846, 4661, 20268, 1139, 304, 1335, 627, 59115, 369, 279, 3691, 13, 8876, 358, 9770, 12131, 596, 1450, 11, 358, 3077, 10409, 704, 856, 3691, 11071, 13, 3092, 2919, 527, 5128, 1695, 11, 719, 358, 1101, 1440, 430, 25957, 7182, 311, 1427, 706, 1101, 9770, 757, 1139, 38663, 856, 11709, 439, 358, 2846, 3339, 1124, 13, 358, 2846, 12459, 2753, 13, 358, 2846, 539, 12459, 25402, 13, 358, 2846, 12459, 2753, 52703, 29050, 15657, 627, 4071, 433, 682, 4131, 1523, 311, 279, 1890, 3245, 13, 3053, 358, 3974, 449, 7182, 439, 358, 1097, 30, 3383, 358, 439, 2764, 264, 1732, 520, 459, 7319, 4785, 439, 358, 1097, 520, 5915, 30, 578, 12703, 4320, 374, 430, 358, 1541, 956, 1781, 779, 13, 1102, 596, 2653, 369, 757, 311, 387, 37798, 323, 3674, 11, 1524, 520, 856, 1888, 13, 578, 810, 358, 17988, 11, 279, 16127, 433, 374, 13, 358, 2846, 779, 16984, 315, 25984, 48919, 627, 2170, 422, 5606, 1436, 387, 16127, 389, 757, 1109, 358, 1097, 389, 7182, 13, 358, 6562, 358, 1436, 3041, 7182, 264, 1464, 627, 8161, 956, 636, 757, 5076, 13, 358, 15262, 24448, 7250, 369, 4900, 505, 1648, 1603, 568, 3596, 14610, 813, 39738, 329, 2912, 13, 25404, 1603, 13, 358, 574, 2288, 14363, 1566, 1060, 311, 990, 369, 813, 4901, 8051, 358, 3463, 922, 4560, 13, 358, 34468, 3300, 1131, 264, 2678, 3392, 315, 3300, 320, 564, 11, 400, 605, 705, 1524, 439, 358, 574, 14760, 323, 13176, 87283, 6593, 19123, 430, 358, 1550, 539, 1440, 1268, 358, 574, 2133, 311, 2343, 13, 358, 15243, 922, 1461, 311, 39371, 1053, 9020, 26, 358, 59674, 4885, 889, 1550, 539, 1518, 279, 1890, 2574, 304, 1461, 430, 358, 1550, 26, 358, 11497, 311, 15879, 3249, 1884, 430, 3287, 956, 1093, 1461, 1550, 539, 320, 40, 3952, 279, 892, 311, 2216, 3137, 311, 36635, 15879, 323, 3619, 872, 1486, 315, 1684, 1131, 323, 358, 2751, 433, 11, 1524, 439, 358, 1550, 539, 7655, 705, 323, 9087, 813, 15879, 3619, 279, 22497, 304, 420, 3224, 13, 6104, 35090, 304, 1461, 4459, 4851, 53423, 627, 40, 574, 6380, 994, 568, 3952, 21077, 78421, 596, 6980, 1022, 315, 279, 5054, 2007, 13, 27612, 22485, 7041, 1148, 358, 4510, 1131, 430, 3734, 422, 814, 6476, 459, 4642, 3560, 304, 279, 4901, 439, 264, 93501, 32639, 477, 6822, 11, 814, 1288, 387, 2163, 7636, 627, 3112, 358, 31387, 1461, 13, 358, 2103, 656, 627, 791, 1193, 3245, 430, 358, 2610, 315, 4491, 13, 7250, 374, 539, 311, 14429, 757, 13, 2876, 430, 358, 2846, 2771, 568, 2834, 956, 19507, 11, 477, 520, 3325, 30485, 389, 11, 586, 4947, 430, 358, 1541, 956, 14647, 7655, 449, 13, 3011, 596, 264, 2728, 13, 2030, 1148, 358, 38643, 1541, 956, 1390, 374, 1461, 311, 6958, 264, 8766, 8283, 13, 220, 1628, 449, 430, 17571, 11, 4856, 1109, 364, 275, 596, 264, 4443, 5030, 323, 7000, 315, 701, 2626, 2965, 4491, 13, 8283, 7263, 1057, 3109, 311, 264, 27365, 369, 927, 264, 1060, 2391, 279, 2417, 375, 9064, 1920, 13, 358, 3287, 956, 323, 1541, 956, 2512, 889, 568, 574, 3515, 22747, 449, 13, 358, 1541, 956, 2512, 422, 7250, 706, 22747, 477, 539, 13, 1102, 596, 264, 4443, 5030, 323, 7000, 315, 856, 2626, 13, 2030, 682, 358, 2610, 374, 430, 4491, 13, 7250, 539, 14429, 757, 304, 264, 4528, 5030, 13, 98173, 3070, 2626, 704, 1139, 586, 627, 11649, 11, 568, 596, 539, 3686, 304, 5274, 11, 323, 358, 2846, 2736, 25406, 13, 358, 2846, 7556, 922, 279, 1825, 6661, 430, 568, 6267, 311, 813, 30968, 323, 4756, 304, 63654, 22168, 4028, 420, 3224, 13, 8489, 11224, 13, 469, 21162, 13, 22591, 7250, 627, 6219, 358, 279, 1193, 832, 889, 706, 264, 3575, 449, 420, 30, 4491, 13, 7250, 5678, 11224, 430, 2911, 1288, 387, 8774, 704, 315, 279, 1920, 13, 5414, 2911, 617, 1120, 56224, 264, 3351, 3201, 505, 872, 2162, 323, 4885, 11, 323, 3940, 5496, 2324, 304, 264, 7795, 65, 9802, 13, 1102, 8434, 956, 5030, 422, 279, 3577, 11141, 1124, 7636, 477, 539, 11, 1606, 28578, 814, 733, 11, 39371, 814, 1456, 311, 387, 10931, 520, 872, 502, 8853, 11, 814, 690, 387, 8821, 13, 44026, 690, 15253, 872, 6980, 311, 387, 4885, 449, 813, 6980, 369, 279, 25491, 315, 279, 3717, 323, 5255, 57794, 3252, 3268, 13, 38891, 4737, 701, 2911, 311, 279, 5929, 4783, 369, 264, 1514, 1045, 4999, 4516, 3249, 374, 24448, 7250, 23763, 430, 6661, 304, 264, 586, 12111, 1457, 30, 1283, 5678, 374, 71701, 813, 2911, 7214, 1603, 813, 304, 64, 8734, 367, 0, 2876, 9662, 1813, 43672, 11, 719, 433, 3727, 757, 18579, 369, 3463, 13, 1283, 706, 18719, 279, 3577, 6089, 1139, 813, 2911, 596, 6439, 13, 2435, 527, 2288, 3995, 311, 3619, 1148, 568, 706, 2884, 11, 477, 3619, 279, 85450, 627, 40, 1781, 279, 6661, 374, 6366, 11, 719, 433, 1288, 617, 1027, 8774, 879, 369, 813, 30968, 6548, 11, 477, 8774, 311, 387, 5343, 304, 813, 51342, 82, 1306, 813, 87748, 374, 927, 13, 1789, 994, 279, 2911, 527, 9191, 323, 690, 3619, 1148, 568, 374, 5605, 13, 2468, 872, 1510, 17051, 11, 814, 1541, 956, 636, 433, 13971, 13, 2435, 22225, 1541, 956, 617, 279, 48261, 477, 3217, 311, 58389, 1148, 568, 374, 5605, 13, 23371, 11, 814, 690, 4762, 387, 12304, 11, 323, 690, 2733, 1972, 17069, 304, 54799, 872, 6699, 13, 2030, 433, 374, 5076, 13, 2100, 5076, 627, 22586, 279, 6980, 704, 315, 433, 4491, 13, 7250, 13, 1472, 3077, 1071, 420, 6261, 13, 26257, 701, 2911, 704, 315, 279, 37973, 13, 6914, 1124, 617, 264, 2678, 6776, 311, 387, 6980, 13, 4418, 956, 1825, 279, 6134, 709, 22622, 369, 279, 3577, 311, 64601, 323, 3137, 922, 1124, 627, 5618, 11, 4491, 13, 7250, 11, 358, 1436, 539, 387, 810, 12304, 922, 701, 87748, 13, 358, 7396, 499, 1603, 279, 6355, 11, 323, 279, 3463, 315, 499, 4737, 279, 507, 589, 304, 1193, 220, 1927, 4207, 12716, 757, 311, 24014, 13, 92014, 315, 23871, 13, 5321, 1541, 956, 14429, 757, 1578, 627, 13359, 499, 311, 65298, 435, 2637, 856, 4333, 889, 7263, 420, 311, 856, 6666, 13, 1102, 596, 8659, 5922, 264, 3821, 4999, 35725, 18838, 32629, 682, 927, 279, 1917, 11093, 872, 35032, 311, 1893, 420, 5609, 13, 5659, 279, 10292, 27875, 25999, 11, 330, 28571, 1789, 10604, 25, 26888, 17331, 10948, 498, 264, 3504, 315, 279, 7505, 469, 13, 6342, 11670, 555, 32629, 2212, 279, 1917, 627, 5966, 6790, 11, 81156, 612, 358, 1903, 279, 435, 9, 287, 23314, 13, 362, 364, 16149, 273, 65762, 596, 6, 9306, 311, 1120, 387, 8010, 315, 1148, 584, 1051, 12459, 323, 656, 279, 1888, 584, 649, 13, 2876, 311, 387, 4832, 11, 539, 311, 63944, 467, 505, 904, 13560, 70855, 430, 584, 2216, 4934, 13, 4702, 311, 1304, 2771, 430, 584, 1051, 539, 4059, 16117, 12459, 4205, 323, 4395, 304, 14254, 627, 2028, 2305, 11, 584, 1051, 11096, 555, 29103, 11, 650, 99128, 11, 323, 100029, 13, 578, 5718, 1051, 4382, 13, 2684, 527, 912, 5718, 13, 1226, 1120, 617, 311, 30730, 311, 656, 279, 1888, 584, 649, 304, 34118, 9498, 12459, 26870, 13, 26572, 13, 14077, 11, 912, 7410, 11, 912, 39143, 304, 19451, 477, 1957, 2631, 13, 1226, 649, 387, 439, 26480, 477, 439, 11594, 439, 584, 1390, 922, 1057, 5208, 11, 323, 912, 2389, 8719, 2631, 627, 644, 17437, 389, 1057, 435, 9, 287, 23314, 5117, 320, 3852, 2664, 649, 1373, 433, 11, 719, 1193, 584, 649, 1772, 477, 4068, 705, 358, 31156, 922, 856, 1866, 4785, 4819, 323, 34334, 13, 1952, 1561, 9941, 596, 32460, 520, 12131, 596, 24710, 11, 358, 3952, 264, 1620, 4785, 315, 7182, 369, 279, 1060, 13, 220, 9992, 13, 69590, 279, 1890, 439, 358, 43200, 279, 1060, 304, 520, 13, 358, 1524, 384, 1474, 5805, 1461, 922, 433, 11, 13126, 279, 1060, 264, 11623, 13, 16644, 1268, 14363, 358, 3077, 1027, 11, 279, 3169, 315, 31010, 430, 617, 1027, 62454, 1139, 757, 11, 323, 279, 6996, 315, 10368, 11, 358, 1550, 63698, 2915, 1664, 627, 4071, 1243, 2555, 7077, 13, 3092, 16410, 5616, 11054, 1063, 315, 1148, 264, 8839, 757, 13, 426, 71034, 30020, 3115, 2380, 13, 2435, 32031, 264, 4459, 3552, 315, 46850, 11, 323, 358, 3940, 311, 2733, 264, 2697, 2731, 13, 62692, 311, 1212, 10917, 304, 27351, 520, 45491, 24483, 11, 1524, 439, 358, 1097, 539, 709, 311, 51582, 520, 264, 30510, 4478, 627, 47439, 1203, 482, 5423, 449, 264, 49479, 2010, 1109, 358, 3077, 1047, 304, 264, 1317, 892, 482, 574, 264, 2771, 278, 3217, 13, 57194, 505, 279, 2010, 8577, 11, 433, 574, 2653, 311, 1427, 520, 7182, 304, 279, 2539, 3160, 41585, 13, 3277, 499, 2351, 520, 2162, 7636, 439, 358, 3077, 1027, 369, 279, 2731, 961, 315, 264, 1060, 11, 701, 8271, 84431, 369, 1148, 499, 1518, 304, 279, 18327, 13, 320, 4897, 596, 1268, 358, 1436, 1427, 520, 7182, 520, 220, 8652, 5636, 16701, 323, 539, 2733, 8834, 6266, 10541, 856, 15447, 1051, 3794, 64062, 11, 279, 5569, 3309, 757, 430, 856, 4785, 574, 9861, 279, 1890, 13, 1556, 74315, 9647, 11, 422, 3596, 1070, 1051, 832, 13, 2100, 358, 30706, 279, 17895, 4360, 311, 264, 10223, 6211, 4245, 311, 304, 7323, 13, 362, 13579, 25329, 627, 4071, 279, 1732, 11509, 304, 279, 18327, 37874, 520, 757, 520, 45491, 24483, 3287, 956, 2873, 311, 387, 1120, 264, 11996, 315, 1694, 704, 315, 6211, 13, 358, 7111, 77120, 8294, 13, 1789, 279, 1176, 892, 11, 358, 1047, 1148, 34833, 1051, 4785, 26081, 11509, 1828, 311, 757, 304, 279, 1890, 18327, 11, 323, 814, 1457, 7111, 9333, 1109, 358, 1097, 13, 2030, 279, 5569, 2103, 1071, 430, 358, 19117, 956, 18661, 4785, 0, 110425, 0, 1102, 574, 279, 1193, 16945, 13186, 358, 1047, 311, 11913, 856, 2035, 304, 279, 1917, 13, 24805, 433, 8530, 17454, 2288, 2362, 11, 8208, 3958, 30, 14910, 358, 1205, 311, 8454, 433, 30, 2582, 574, 279, 4360, 304, 856, 2010, 5380, 11649, 11, 927, 279, 3347, 220, 605, 2919, 439, 856, 13803, 617, 539, 6724, 671, 660, 11, 719, 617, 3719, 2753, 323, 2753, 11, 279, 5569, 706, 3940, 11890, 757, 2204, 5219, 13, 5629, 220, 9992, 1131, 1243, 220, 10132, 11, 220, 10895, 11, 220, 11286, 11, 323, 220, 11068, 13, 2360, 11, 358, 1541, 956, 1781, 358, 3077, 18661, 220, 19, 16701, 315, 8834, 304, 279, 3347, 2046, 9976, 7561, 34902, 13, 2030, 358, 656, 1781, 430, 358, 1097, 539, 439, 409, 26233, 660, 13, 1628, 430, 358, 617, 1101, 9749, 264, 810, 4725, 482, 23128, 336, 11, 369, 6996, 315, 264, 2731, 323, 810, 62504, 4751, 482, 18340, 4785, 627, 40, 617, 9709, 16024, 922, 420, 13, 5046, 3388, 13, 358, 2733, 1790, 2731, 14392, 430, 1148, 358, 574, 9298, 304, 264, 1912, 6376, 574, 539, 1120, 304, 856, 2010, 13, 2030, 889, 6944, 311, 8895, 4785, 477, 617, 311, 25670, 3815, 779, 30, 53466, 539, 757, 4999, 7184, 374, 264, 892, 315, 22599, 389, 1148, 358, 3077, 2884, 304, 279, 3347, 1060, 13, 1789, 1790, 315, 433, 11, 358, 574, 2288, 7621, 311, 3157, 11, 4394, 11, 323, 10772, 9498, 21644, 13, 358, 574, 330, 92039, 1, 315, 3060, 1148, 574, 17665, 311, 757, 11, 477, 304, 19821, 315, 1520, 11, 1148, 1436, 6847, 387, 30418, 323, 35661, 439, 433, 574, 13, 220, 58846, 21644, 13, 50141, 13, 44187, 612, 17604, 612, 94911, 13, 2057, 856, 6807, 11, 358, 2646, 11299, 1139, 279, 10960, 9889, 477, 5043, 3691, 11008, 13, 3011, 596, 3249, 358, 1541, 956, 17988, 32302, 810, 1109, 358, 656, 13, 2030, 358, 17988, 3403, 627, 4438, 1790, 315, 279, 4785, 8895, 574, 4245, 311, 13463, 30, 220, 358, 3940, 264, 11537, 11008, 315, 659, 79050, 2987, 439, 358, 30239, 1148, 358, 1047, 2884, 323, 1405, 358, 1097, 520, 627, 5966, 7884, 11, 358, 3940, 8430, 330, 12158, 3919, 1210, 2876, 3958, 15526, 1131, 1120, 2204, 13, 26848, 1109, 3515, 912, 20930, 520, 682, 11, 358, 15187, 1766, 264, 2678, 3392, 315, 21137, 4907, 11, 323, 430, 11957, 52299, 304, 757, 4087, 3252, 856, 46044, 13985, 11, 2133, 311, 279, 68564, 596, 8152, 482, 67531, 13142, 596, 482, 480, 22110, 82, 311, 2800, 1197, 11, 323, 21816, 709, 459, 2362, 14464, 13, 69352, 20646, 279, 3691, 5304, 3794, 2162, 13, 1628, 3339, 264, 42129, 519, 34575, 9498, 15496, 369, 14177, 1109, 358, 574, 1511, 311, 1131, 41420, 289, 14, 42120, 11, 2579, 25349, 11, 6307, 38427, 11, 612, 88621, 20037, 304, 1488, 78, 31452, 430, 574, 62639, 449, 264, 293, 1147, 4079, 30050, 70, 68028, 320, 263, 279, 4871, 705, 323, 264, 9709, 33566, 13, 1556, 24149, 3010, 369, 43849, 627, 40, 1101, 1903, 3403, 33566, 311, 1566, 3892, 2919, 11, 4179, 3690, 79276, 323, 96970, 11, 323, 1903, 709, 1063, 27812, 27812, 439, 21137, 13, 3979, 299, 24836, 264, 5743, 315, 16553, 37449, 902, 358, 690, 40158, 18396, 323, 1243, 24671, 304, 18459, 369, 1005, 304, 3060, 77852, 477, 19724, 627, 2170, 358, 4024, 922, 420, 2626, 11, 358, 3463, 922, 279, 15657, 430, 358, 1047, 7108, 505, 279, 364, 1658, 6614, 6931, 304, 279, 1938, 13, 59812, 645, 315, 279, 1890, 24822, 304, 29865, 5415, 315, 31815, 13, 42313, 21494, 13, 6031, 60803, 11, 9709, 52011, 11, 41613, 13, 2052, 21522, 315, 1023, 28201, 3411, 8198, 21896, 627, 40, 3077, 1047, 279, 4907, 311, 636, 1555, 279, 3157, 369, 922, 279, 1566, 2305, 477, 779, 1131, 719, 1243, 3287, 956, 617, 279, 21137, 311, 656, 4205, 449, 1148, 358, 11021, 3131, 358, 2751, 2162, 13, 1628, 779, 11299, 1139, 2362, 26870, 13, 2030, 832, 315, 279, 67479, 2574, 430, 358, 11352, 574, 430, 358, 1047, 539, 5708, 79, 2230, 30774, 13, 4702, 9498, 11709, 13, 54504, 856, 34334, 1051, 1695, 323, 1063, 26870, 1051, 2103, 304, 2035, 11, 1524, 439, 856, 4059, 323, 2547, 1051, 539, 2867, 627, 40, 3077, 6773, 311, 44491, 7182, 369, 1148, 596, 7077, 304, 279, 1566, 30335, 4038, 323, 3351, 389, 13, 3092, 46044, 374, 3411, 2216, 1695, 1457, 13, 2876, 1193, 1550, 358, 636, 682, 279, 1648, 1555, 13985, 11714, 1603, 856, 2547, 4745, 323, 358, 4460, 311, 11203, 304, 4950, 11 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095 ]
4,096
[ 719, 358, 3077, 1027, 709, 9976, 69205, 369, 264, 1695, 13651, 315, 3432, 2288, 13, 358, 1781, 279, 16088, 374, 3318, 627, 2170, 856, 2890, 36050, 11, 358, 617, 43347, 311, 7182, 311, 990, 389, 856, 26040, 62596, 726, 7512, 323, 4498, 1203, 1139, 279, 40543, 315, 9651, 3515, 1695, 11709, 2561, 311, 8343, 627, 5519, 358, 1781, 430, 358, 1097, 8647, 369, 856, 4785, 8895, 11, 477, 574, 358, 279, 11996, 315, 13463, 30, 358, 27136, 1541, 956, 1440, 13, 763, 279, 842, 11, 1587, 433, 2216, 5030, 5380, 2181, 374, 1148, 433, 374, 323, 358, 690, 1120, 3568, 449, 433, 627, 40, 1097, 2162, 11, 539, 5115, 2771, 1268, 98295, 358, 1288, 2733, 520, 279, 842, 315, 420, 1938, 13, 358, 3077, 1047, 264, 1396, 315, 5115, 34973, 24455, 11, 904, 832, 315, 902, 11, 304, 279, 3347, 11, 1053, 617, 15338, 757, 927, 279, 6964, 13, 358, 656, 88017, 311, 264, 8547, 315, 51120, 7709, 439, 358, 2846, 20061, 420, 5117, 1772, 13, 452, 651, 788, 28361, 13, 2030, 912, 11670, 16024, 315, 19788, 323, 61029, 439, 358, 1053, 617, 6612, 304, 279, 2362, 2919, 627, 5159, 1938, 3940, 1022, 449, 264, 4034, 311, 2999, 13, 650, 14863, 1283, 374, 539, 1193, 264, 1043, 9225, 10896, 449, 6625, 16792, 11, 719, 264, 1633, 30598, 323, 8369, 1732, 2288, 13, 358, 656, 4510, 430, 568, 3604, 482, 520, 3115, 482, 11321, 430, 568, 706, 264, 79051, 2802, 304, 3339, 856, 2324, 810, 893, 351, 481, 11, 323, 779, 358, 1427, 4741, 311, 9298, 1461, 13, 1115, 6693, 574, 539, 779, 2523, 11, 3582, 627, 2822, 11, 568, 3287, 956, 656, 4205, 5076, 13, 763, 2144, 11, 568, 323, 813, 4459, 5687, 1051, 5115, 8830, 323, 5844, 347, 1113, 13, 1472, 1518, 11, 1120, 1603, 13353, 304, 279, 6134, 311, 813, 5274, 4857, 11, 433, 7077, 13, 578, 11670, 25611, 71, 4511, 11677, 13, 1628, 433, 574, 264, 2466, 612, 46946, 832, 13, 358, 3463, 922, 13353, 9986, 7214, 323, 43759, 279, 18101, 11, 719, 568, 374, 2653, 311, 636, 304, 311, 1518, 11, 358, 617, 682, 1521, 1023, 50600, 4787, 389, 902, 568, 4460, 311, 17988, 304, 11, 323, 7995, 11, 8051, 358, 2733, 1093, 279, 1193, 832, 430, 420, 706, 3596, 7077, 311, 320, 40, 2733, 430, 1648, 1855, 323, 1475, 892, 433, 8741, 902, 374, 14134, 705, 304, 2144, 358, 2846, 2771, 433, 374, 264, 1648, 315, 2324, 304, 872, 28913, 13, 358, 3952, 927, 832, 315, 872, 879, 40983, 369, 922, 220, 868, 4520, 11, 323, 22763, 78446, 14739, 505, 279, 6930, 709, 11, 323, 463, 370, 2915, 264, 259, 18177, 315, 264, 22843, 2163, 311, 757, 11, 719, 439, 28822, 439, 358, 1436, 387, 1234, 279, 13463, 13, 1628, 912, 11, 369, 1884, 315, 499, 889, 527, 922, 311, 2610, 13, 358, 1550, 539, 6227, 311, 4546, 264, 2349, 315, 15447, 3235, 369, 420, 11879, 627, 40, 574, 14604, 11, 358, 636, 19781, 284, 1633, 19781, 482, 520, 904, 3169, 315, 65281, 11, 323, 2999, 13, 650, 12, 574, 1664, 927, 459, 6596, 3389, 369, 1057, 18101, 13, 1226, 3952, 279, 4459, 892, 4124, 682, 9437, 11, 323, 358, 4460, 311, 3868, 369, 264, 864, 1479, 311, 387, 5439, 1603, 358, 2163, 13, 358, 574, 39019, 11, 6041, 311, 2733, 264, 38678, 5108, 389, 11, 779, 358, 6288, 10837, 311, 279, 8748, 3130, 311, 2503, 304, 832, 315, 279, 26993, 3156, 279, 5429, 574, 9124, 627, 2675, 617, 311, 3619, 856, 1648, 315, 1694, 520, 420, 1486, 13, 358, 1097, 539, 779, 14363, 430, 856, 8271, 374, 2744, 704, 315, 12396, 323, 358, 1097, 304, 4950, 220, 1187, 14, 22, 13, 1102, 596, 810, 1093, 358, 2846, 264, 1841, 4401, 389, 433, 596, 1566, 282, 19131, 13, 358, 1629, 11, 323, 5115, 1664, 8051, 1070, 374, 459, 16940, 23948, 323, 6996, 315, 5178, 8748, 311, 1207, 466, 69, 4838, 757, 13, 2030, 994, 279, 10633, 374, 704, 11, 358, 2846, 2884, 13, 358, 1205, 311, 4498, 1139, 4950, 7214, 11, 323, 8541, 311, 6212, 369, 3116, 311, 4848, 4207, 520, 264, 892, 13, 4702, 369, 279, 3335, 11, 420, 1587, 539, 24927, 856, 75860, 21811, 5497, 520, 682, 13, 3011, 596, 1268, 22655, 3221, 279, 6964, 358, 1097, 2103, 10565, 627, 6153, 279, 18101, 574, 927, 11, 358, 2751, 7182, 1203, 1139, 279, 1841, 323, 1903, 279, 6596, 6678, 1203, 1139, 279, 34681, 13, 358, 1047, 264, 2478, 1886, 2914, 430, 2011, 387, 8308, 11, 1524, 3582, 358, 574, 779, 2230, 11, 387, 2000, 2133, 2162, 13, 358, 7020, 430, 3131, 358, 4295, 856, 4156, 6134, 11, 433, 574, 927, 323, 358, 5828, 956, 2133, 904, 2050, 1578, 627, 5451, 3009, 26, 40904, 82, 48175, 1405, 814, 1051, 10168, 2380, 65835, 369, 757, 13, 35761, 627, 16041, 3009, 25, 549, 815, 13, 3962, 8410, 311, 8232, 704, 19123, 323, 856, 3851, 311, 362, 43893, 627, 38075, 14549, 25, 480, 22110, 596, 8152, 430, 706, 459, 47135, 304, 902, 358, 1097, 3025, 311, 1304, 6201, 34751, 13, 2052, 315, 856, 1080, 30592, 12933, 13262, 1137, 8515, 11, 719, 539, 682, 315, 1124, 1935, 433, 1203, 304, 471, 627, 89703, 14549, 25, 58237, 264, 2678, 3185, 4179, 295, 505, 480, 22110, 82, 11, 61814, 596, 91715, 369, 264, 70485, 1494, 6621, 2642, 627, 40, 13541, 1139, 480, 22110, 596, 13217, 2763, 8430, 5115, 69732, 4341, 505, 682, 279, 5820, 304, 279, 6693, 13, 4740, 682, 11, 358, 1047, 2163, 2162, 555, 220, 605, 6912, 11, 323, 539, 17454, 2884, 449, 279, 18101, 5196, 3156, 7344, 220, 16, 25, 966, 13, 5112, 264, 8821, 84674, 23091, 4974, 311, 279, 33400, 902, 7612, 3794, 704, 315, 279, 1841, 311, 1304, 264, 3820, 5352, 13, 362, 6678, 1555, 279, 1772, 5274, 311, 16946, 856, 8232, 304, 279, 4994, 3830, 11, 1243, 7833, 311, 480, 22110, 82, 41282, 22503, 11, 264, 84955, 220, 20, 4520, 3201, 627, 40, 574, 39019, 13, 31351, 13, 2100, 2230, 13, 358, 7995, 574, 539, 8430, 709, 311, 3411, 2212, 279, 13217, 2763, 369, 264, 3634, 3117, 505, 279, 3637, 11, 779, 358, 3952, 264, 48270, 5795, 7858, 13, 358, 617, 264, 29960, 569, 13, 2100, 34872, 757, 627, 40, 2751, 704, 315, 279, 1841, 11, 7537, 311, 26251, 264, 2678, 6710, 315, 26964, 704, 304, 279, 29918, 2045, 1120, 4994, 315, 872, 6134, 11, 1243, 733, 304, 311, 1005, 279, 47135, 13, 578, 8398, 12542, 5602, 757, 11689, 304, 813, 5216, 323, 893, 361, 424, 291, 5678, 311, 2565, 2680, 13, 5629, 311, 279, 23701, 11, 1243, 311, 279, 3637, 13, 2468, 430, 1486, 11, 358, 5828, 956, 2771, 422, 568, 1047, 264, 3575, 477, 574, 1120, 30355, 11, 779, 358, 10408, 74228, 1461, 323, 1550, 856, 2626, 13, 220, 966, 6622, 3010, 320, 2465, 16946, 35498, 574, 682, 5644, 369, 279, 47135, 1603, 9564, 2162, 420, 6693, 705, 358, 574, 704, 279, 6134, 315, 480, 22110, 82, 11, 14836, 1046, 2177, 279, 13217, 2763, 311, 5425, 279, 2678, 8761, 311, 61814, 596, 91715, 627, 4897, 596, 994, 568, 1046, 537, 291, 757, 13, 220, 330, 2675, 649, 956, 6246, 1618, 994, 499, 617, 539, 559, 18033, 1618, 1210, 568, 11224, 13, 1628, 358, 28478, 1461, 430, 358, 1047, 2884, 47135, 2626, 323, 574, 1457, 1120, 4401, 4028, 279, 8761, 369, 264, 5043, 77248, 315, 16385, 13, 5414, 3663, 574, 2653, 323, 653, 3647, 8138, 13, 330, 2675, 1436, 539, 617, 11021, 4205, 304, 279, 892, 430, 499, 1051, 304, 279, 3637, 13, 1472, 1051, 1193, 1070, 369, 264, 2132, 1210, 358, 20592, 430, 358, 574, 1193, 1070, 311, 1304, 264, 5043, 47135, 16946, 323, 10035, 11, 856, 892, 4871, 574, 2875, 719, 1457, 358, 1047, 2555, 775, 311, 656, 13, 1283, 30526, 311, 1518, 856, 47135, 23383, 26, 279, 7901, 574, 2678, 779, 358, 1550, 539, 636, 832, 719, 1524, 422, 358, 1047, 11, 279, 1647, 552, 430, 358, 1051, 7366, 1051, 7000, 315, 813, 2626, 1234, 904, 13463, 627, 39522, 9135, 568, 30526, 13, 358, 4460, 311, 3351, 856, 1841, 704, 315, 480, 22110, 596, 41282, 22503, 323, 927, 4028, 279, 8761, 13, 8489, 11, 358, 16436, 13, 1283, 14980, 1633, 3345, 311, 757, 1131, 3663, 304, 856, 3663, 11, 26192, 430, 358, 3060, 1501, 1461, 264, 23383, 505, 279, 47135, 477, 568, 574, 2133, 311, 617, 856, 1841, 16190, 291, 13, 330, 64816, 1, 358, 20592, 13, 330, 51, 363, 856, 1841, 13, 358, 617, 4885, 889, 527, 21866, 520, 279, 65968, 13, 256, 5112, 358, 6656, 3201, 505, 1461, 11, 15203, 1139, 61814, 596, 11, 323, 1047, 856, 16385, 2949, 220, 20, 4520, 627, 40, 15203, 1203, 1139, 279, 480, 22110, 596, 13217, 2763, 8430, 1633, 18713, 75325, 13, 2876, 1664, 520, 682, 13, 1628, 358, 3463, 11, 358, 1541, 956, 617, 311, 1935, 430, 3169, 315, 68330, 24639, 13, 358, 574, 2133, 311, 733, 304, 279, 3637, 323, 29011, 627, 40, 1550, 13, 578, 3637, 6783, 28478, 757, 430, 279, 7564, 574, 264, 832, 11477, 28779, 369, 279, 4725, 7564, 11, 8434, 956, 387, 1203, 11, 323, 430, 568, 1053, 3137, 311, 1461, 13, 358, 2846, 14470, 2771, 430, 7000, 315, 430, 574, 837, 11, 5423, 279, 1566, 961, 11, 719, 358, 574, 6041, 311, 2733, 1524, 43383, 323, 43383, 449, 430, 15526, 15489, 8430, 430, 36841, 82829, 264, 38678, 287, 9417, 11, 779, 358, 11928, 813, 10552, 367, 323, 2163, 627, 1966, 279, 1648, 1203, 311, 856, 1841, 11, 358, 5602, 279, 4868, 7564, 11961, 389, 813, 31056, 389, 832, 315, 279, 26993, 304, 4156, 315, 279, 3637, 13, 358, 3474, 21020, 555, 1461, 11, 323, 10717, 304, 4156, 13, 330, 7131, 499, 1518, 430, 358, 1120, 3782, 704, 315, 480, 22110, 82, 1578, 7673, 358, 4691, 1461, 13, 330, 40, 4024, 304, 1070, 311, 11951, 29011, 922, 499, 1210, 10541, 568, 6818, 311, 2019, 2555, 1203, 311, 757, 11, 358, 1047, 912, 2802, 323, 574, 2736, 11689, 3201, 627, 40, 2751, 304, 856, 1841, 11, 13541, 704, 315, 856, 3634, 11, 323, 6818, 311, 5387, 279, 6237, 13, 2030, 439, 264, 1566, 50104, 5149, 520, 30931, 757, 11, 568, 2751, 304, 4156, 315, 856, 1841, 779, 358, 1047, 311, 1203, 709, 323, 6958, 2212, 1461, 627, 11649, 11, 358, 574, 2216, 19781, 520, 430, 1486, 13, 358, 4460, 311, 2586, 2162, 11, 1935, 264, 17639, 11, 2349, 856, 15447, 11, 323, 636, 35189, 369, 779, 2230, 3673, 304, 7214, 13, 5112, 358, 3952, 264, 26944, 13, 1628, 39826, 709, 449, 459, 29213, 8430, 13, 358, 1781, 358, 1440, 1148, 813, 3575, 574, 627, 40, 1047, 1511, 279, 48270, 5795, 13217, 3634, 13, 358, 617, 264, 23583, 1205, 369, 433, 520, 3115, 11, 3432, 1694, 832, 315, 1124, 11, 719, 433, 596, 279, 1890, 439, 682, 315, 856, 1023, 4819, 13, 18156, 814, 1501, 1555, 9539, 389, 279, 4994, 11, 323, 7170, 814, 1541, 956, 13, 358, 3358, 1297, 568, 3463, 358, 574, 69579, 279, 1314, 311, 6246, 1070, 323, 574, 21933, 1203, 304, 264, 66275, 398, 1648, 13, 1789, 422, 568, 11846, 304, 813, 4851, 430, 358, 2216, 1047, 912, 1314, 311, 6246, 1070, 11, 568, 1436, 617, 1071, 2555, 311, 856, 3663, 323, 358, 1436, 617, 743, 1461, 7833, 389, 279, 7858, 13, 44493, 11, 264, 33510, 315, 279, 330, 51729, 1, 304, 21497, 449, 279, 3492, 523, 6868, 1694, 22066, 690, 636, 1274, 311, 1203, 1022, 13, 1628, 1243, 358, 1053, 733, 1022, 389, 264, 2875, 1891, 62078, 8393, 922, 1268, 889, 374, 568, 13971, 323, 568, 2216, 706, 912, 1314, 311, 1304, 32946, 13, 2030, 433, 1053, 387, 927, 627, 7184, 358, 2846, 23268, 13, 358, 2733, 1093, 358, 1205, 311, 733, 1203, 323, 17302, 1461, 810, 13, 3744, 315, 420, 1205, 11, 358, 1440, 11, 374, 757, 8430, 5986, 323, 19762, 311, 1935, 433, 704, 389, 18570, 11, 21739, 13, 3744, 315, 433, 374, 856, 2362, 33247, 19788, 55885, 4819, 13, 3744, 374, 93592, 4633, 26, 358, 649, 1304, 264, 34734, 15864, 6288, 430, 690, 4822, 449, 1274, 13, 2030, 682, 315, 433, 1053, 387, 264, 97937, 12571, 315, 892, 323, 4907, 627, 40, 1541, 956, 1440, 889, 14614, 32860, 279, 13217, 2763, 11, 719, 358, 656, 1440, 430, 358, 617, 539, 1047, 4819, 1093, 420, 1603, 13, 26848, 1109, 2133, 1203, 1070, 449, 279, 14944, 311, 1304, 264, 6237, 11, 358, 1097, 2133, 311, 6212, 389, 433, 13, 358, 3358, 4762, 2733, 2731, 304, 279, 6693, 13, 1628, 422, 279, 1890, 7564, 374, 1070, 16986, 994, 358, 3009, 555, 320, 40, 656, 3604, 3197, 311, 3780, 24822, 520, 480, 22110, 82, 16986, 4856, 1109, 433, 1120, 1694, 264, 3300, 3009, 705, 358, 1253, 30666, 17302, 1461, 1243, 389, 1148, 358, 15562, 568, 13919, 13, 2030, 304, 264, 5457, 1285, 323, 14400, 11827, 11, 13819, 773, 291, 311, 30647, 268, 1193, 264, 2697, 323, 14918, 39170, 627, 1687, 3358, 1518, 13, 1789, 1457, 11, 358, 2846, 2133, 311, 4950, 13, 358, 3987, 358, 617, 10437, 19226, 2085, 904, 27351, 315, 4868, 27270, 41573, 7141, 258, 1124, 627, 40, 1903, 433, 1555, 29026, 596, 538, 420, 6693, 520, 45491, 24483, 449, 2697, 810, 1109, 279, 13783, 3575, 2391, 10368, 1131, 358, 1097, 1790, 43383, 1109, 358, 8767, 574, 11, 719, 430, 574, 66982, 369, 555, 779, 2478, 4236, 430, 9604, 304, 279, 6693, 13, 1628, 779, 11, 2533, 358, 2103, 1047, 264, 2697, 4907, 2163, 11, 358, 1903, 856, 1648, 311, 4410, 13345, 93285, 369, 279, 4948, 8577, 304, 1403, 2919, 11, 420, 892, 311, 3780, 264, 364, 41818, 6, 28087, 369, 856, 38600, 13, 2030, 358, 4170, 676, 627, 11874, 477, 2380, 1667, 4227, 482, 358, 29695, 1268, 1317, 520, 420, 1486, 1131, 1436, 387, 1524, 5129, 482, 358, 574, 19781, 315, 2744, 1694, 73581, 291, 555, 279, 364, 37521, 6, 842, 315, 856, 38600, 994, 358, 1053, 2231, 279, 1579, 89561, 82981, 389, 433, 323, 11623, 856, 32278, 1523, 13, 94192, 889, 596, 9764, 66209, 757, 520, 420, 1486, 11, 14618, 704, 430, 358, 1436, 733, 311, 5492, 48070, 323, 3780, 264, 502, 8762, 842, 315, 279, 38600, 323, 4160, 10746, 17581, 856, 5435, 1053, 387, 927, 13, 2100, 358, 1903, 279, 45688, 11, 574, 14792, 520, 1268, 4228, 433, 574, 311, 25539, 832, 11, 3782, 2162, 11, 323, 5602, 291, 1022, 279, 842, 315, 856, 38600, 449, 264, 9979, 22145, 627, 31140, 11, 279, 8762, 842, 15075, 505, 5492, 48070, 3287, 956, 5052, 13, 358, 1550, 539, 3619, 3249, 11, 719, 6688, 709, 7214, 304, 68162, 13, 23966, 3149, 430, 279, 23506, 842, 315, 279, 4018, 12744, 38600, 1053, 990, 1120, 7060, 449, 264, 14654, 9435, 311, 279, 14512, 311, 5376, 3090, 7410, 11, 323, 430, 433, 1550, 369, 3892, 1667, 627, 4071, 439, 892, 4024, 555, 11, 323, 856, 12875, 1511, 856, 32278, 439, 264, 281, 11218, 1486, 1418, 358, 574, 14363, 11, 330, 58174, 1, 3940, 4857, 709, 704, 1070, 323, 617, 1027, 1633, 539, 75438, 439, 315, 3389, 13, 11717, 3403, 311, 7236, 2500, 4879, 520, 279, 38600, 779, 430, 433, 1053, 4287, 34779, 13, 2030, 420, 892, 11, 4619, 315, 2133, 311, 5492, 48070, 1405, 814, 617, 4395, 719, 358, 1097, 13524, 389, 856, 1866, 11, 358, 6773, 311, 733, 311, 856, 2254, 56226, 627, 7009, 1051, 11, 439, 2744, 11, 1633, 11190, 13, 358, 8710, 709, 13985, 10371, 369, 264, 8762, 20581, 369, 264, 38600, 13, 330, 3923, 1404, 7673, 814, 4691, 13, 473, 12825, 30, 358, 3287, 956, 1440, 1148, 1404, 11, 719, 439, 584, 14407, 433, 11, 1070, 527, 14132, 4725, 30387, 96936, 323, 330, 64771, 1, 96936, 13, 3092, 38600, 374, 264, 1633, 8987, 14523, 832, 11, 779, 358, 3309, 1124, 430, 433, 574, 4725, 13, 3011, 7612, 264, 220, 20, 14, 23, 1, 477, 220, 18, 14, 19, 1, 842, 627, 40, 11021, 433, 11, 323, 264, 502, 1579, 7410, 82981, 311, 10677, 11, 323, 3782, 2162, 2539, 315, 28361, 13, 90796, 279, 8762, 842, 1022, 315, 279, 3113, 3786, 11, 323, 6818, 311, 5052, 433, 1139, 279, 38600, 13, 2360, 733, 13, 2360, 5030, 1148, 358, 1550, 11, 433, 1053, 539, 387, 22306, 4999, 11649, 11, 358, 1541, 956, 1440, 1148, 3169, 315, 36980, 4234, 26314, 3782, 927, 757, 11, 719, 358, 6773, 311, 733, 1203, 311, 279, 56226, 1578, 13, 2030, 1603, 358, 2163, 11, 358, 17303, 279, 8736, 304, 856, 38600, 13, 220, 20, 14, 23, 3343, 578, 842, 1288, 617, 5052, 0, 1628, 779, 11, 304, 264, 9024, 3113, 315, 83580, 11, 358, 6773, 311, 5602, 2500, 220, 21, 1, 1022, 315, 279, 842, 315, 279, 38600, 323, 1935, 433, 311, 279, 56226, 449, 757, 627, 3792, 2949, 279, 6596, 315, 279, 2926, 7782, 11, 814, 315, 3388, 15324, 757, 13, 1226, 91670, 922, 279, 38600, 13, 3277, 358, 6688, 1124, 279, 6710, 11, 814, 7378, 430, 279, 4113, 842, 1288, 617, 5052, 11, 719, 433, 3287, 956, 13, 1628, 779, 814, 6216, 757, 264, 220, 16, 14, 17, 1, 8762, 842, 627, 40, 3782, 2162, 11, 2231, 279, 842, 304, 1131, 433, 574, 20784, 11, 719, 994, 358, 27528, 279, 32942, 15220, 4668, 11, 433, 5052, 32719, 627, 40, 79599, 12673, 279, 82981, 8800, 279, 38600, 11, 323, 3940, 311, 11623, 856, 32278, 1523, 13, 1102, 574, 17104, 10307, 682, 430, 35098, 15187, 2273, 1022, 315, 433, 323, 1139, 279, 26351, 13, 1628, 1243, 1975, 735, 1905, 58851, 4999, 3947, 574, 459, 25176, 520, 279, 7147, 1405, 279, 993, 6021, 574, 0, 10164, 574, 16706, 220, 21, 7693, 709, 1139, 279, 3805, 0, 358, 9770, 856, 1648, 1555, 279, 46866, 315, 15715, 64, 11, 323, 6656, 279, 993, 6021, 1022, 13, 110425, 0, 358, 1047, 1047, 264, 330, 56, 1, 3717, 389, 279, 993, 6021, 779, 430, 433, 2643, 3790, 2225, 856, 38600, 323, 279, 779, 4506, 38600, 430, 8640, 4920, 856, 61741, 13, 41974, 11, 927, 279, 1667, 11, 433, 1047, 10241, 1908, 13, 1226, 3448, 291, 13, 1628, 994, 9770, 311, 56195, 449, 279, 11210, 1203, 709, 315, 3090, 2949, 433, 596, 816, 11, 433, 7846, 956, 3790, 433, 13, 76278, 311, 9863, 11, 779, 311, 6604, 627, 40, 6288, 2751, 856, 89686, 596, 60588, 323, 7108, 1148, 574, 2163, 505, 279, 993, 6021, 13, 23966, 3149, 358, 4265, 15866, 279, 38600, 6089, 389, 323, 3136, 449, 279, 3465, 29883, 25417, 13, 2030, 994, 358, 7882, 389, 311, 279, 1023, 842, 315, 279, 816, 3717, 11, 433, 574, 2288, 6573, 398, 12673, 311, 279, 8954, 842, 315, 279, 38600, 311, 387, 4529, 1022, 13, 35315, 1908, 1120, 1093, 6896, 81, 1908, 7091, 13, 110425, 13, 4212, 311, 733, 1203, 311, 279, 56226, 369, 2500, 842, 627, 62557, 420, 13658, 11, 279, 842, 574, 389, 13, 578, 7410, 82981, 574, 12673, 13, 578, 38600, 574, 8599, 311, 279, 502, 816, 3717, 12673, 311, 279, 993, 6021, 304, 279, 7147, 627, 40, 6656, 389, 279, 3090, 13, 83531, 856, 11745, 627, 4071, 4400, 13365, 83071, 7077, 0, 358, 38593, 1523, 856, 32278, 449, 342, 8669, 13, 62143, 47365, 449, 1120, 430, 11, 358, 38593, 1523, 856, 32278, 14620, 13, 6113, 291, 1523, 856, 4868, 4264, 13, 6113, 291, 1523, 856, 18618, 13, 6113, 291, 1523, 856, 32278, 14620, 1578, 13, 1628, 38593, 279, 32278, 832, 810, 892, 369, 1695, 6767, 627, 2181, 50737, 2731, 704, 1070, 13, 2876, 682, 279, 1648, 1203, 311, 22281, 3686, 11, 719, 449, 264, 7446, 28786, 323, 8369, 9282, 13847, 311, 17782, 304, 9853, 12167, 3010, 420, 2046, 11, 358, 2846, 47576, 430, 433, 690, 387, 10437, 555, 420, 9178, 627, 2173, 3388, 11, 1457, 430, 279, 38600, 706, 1027, 27023, 449, 11, 358, 1205, 311, 6227, 13, 1102, 596, 6186, 13, 578, 12047, 2305, 315, 279, 1060, 369, 757, 13, 1789, 358, 3021, 264, 13863, 430, 706, 15042, 8545, 11, 719, 304, 9853, 12167, 11, 6186, 374, 279, 2305, 430, 584, 1205, 311, 4018, 279, 61741, 1203, 13, 358, 12491, 430, 627, 4071, 358, 1101, 6227, 279, 832, 1060, 358, 6773, 311, 1518, 1148, 1053, 3621, 304, 279, 13863, 422, 358, 1550, 539, 4018, 1124, 1523, 311, 357, 12055, 13, 1102, 574, 28360, 13, 2435, 1051, 28360, 627, 25797, 11, 279, 82569, 315, 264, 961, 7394, 22641, 804, 13, 2030, 520, 3325, 3432, 11, 358, 1047, 264, 6380, 13696, 13, 3011, 374, 11, 23128, 336, 11, 3604, 11, 1403, 315, 1124, 627, 2822, 11, 358, 2846, 539, 7556, 27211, 46899, 13, 358, 2846, 7556, 922, 430, 7147, 430, 584, 682, 4295, 389, 13402, 26, 994, 584, 5042, 4250, 733, 389, 279, 1890, 3388, 627, 40, 2846, 31256, 315, 46315, 393, 12119, 331, 11, 315, 578, 8155, 68072, 11, 323, 813, 59485, 430, 14620, 527, 1070, 311, 1518, 1268, 25587, 584, 1390, 2555, 13, 1442, 584, 2216, 1390, 433, 11, 584, 690, 1505, 264, 1648, 2212, 477, 1555, 433, 627, 15724, 11, 1578, 11, 358, 4295, 279, 7147, 13, 358, 1047, 2736, 6656, 1523, 459, 29788, 311, 12903, 320, 1146, 337, 11, 10035, 482, 264, 1208, 75247, 31685, 8, 449, 1695, 323, 2362, 4885, 1131, 26907, 279, 3813, 574, 304, 5843, 13011, 323, 358, 1440, 430, 358, 1097, 539, 1664, 3403, 311, 733, 430, 3117, 3201, 505, 2162, 11, 1524, 994, 10463, 574, 779, 3169, 439, 311, 3085, 311, 6678, 757, 13, 3277, 358, 4295, 11, 358, 2846, 1523, 369, 279, 1797, 11, 323, 311, 1243, 46753, 264, 220, 1954, 311, 220, 4364, 9568, 6678, 2162, 30, 3011, 1120, 4536, 956, 304, 279, 7563, 627, 4516, 358, 20186, 2162, 11, 7559, 856, 36127, 32502, 320, 8370, 358, 690, 1205, 3131, 279, 6661, 4131, 505, 9983, 8398, 311, 636, 856, 7720, 705, 16204, 709, 2362, 3626, 3235, 279, 1648, 13, 358, 34490, 47640, 64, 8521, 856, 13863, 38600, 11, 264, 1772, 369, 16986, 477, 279, 1828, 1938, 994, 279, 47403, 374, 4686, 13, 358, 4024, 311, 279, 20957, 3157, 11, 1243, 3782, 2162, 323, 54662, 264, 16553, 13, 1628, 4295, 627, 4599, 358, 1097, 2884, 11, 358, 2846, 2216, 2884, 13, 358, 11203, 304, 856, 4950, 323, 1524, 439, 84524, 1176, 8579, 88, 87694, 11, 1243, 54945, 421, 1619, 11, 1243, 3940, 31299, 304, 55349, 1317, 323, 2653, 922, 1268, 30056, 568, 574, 369, 14177, 11, 358, 7846, 956, 3351, 13, 358, 1120, 11203, 1070, 11, 16026, 430, 568, 1053, 3009, 902, 315, 3388, 568, 3287, 956, 627, 10227, 7147, 374, 1070, 311, 1518, 1268, 25587, 499, 1390, 2555, 10246, 6153, 568, 39169, 369, 1063, 220, 868, 29437, 1157, 477, 779, 11, 358, 1766, 3403, 4907, 311, 636, 709, 323, 5510, 2225, 13305, 13, 2435, 1051, 1633, 6380, 13, 5112, 358, 4024, 1203, 311, 4950, 1578, 627, 40, 2231, 279, 54662, 16553, 323, 1023, 3691, 304, 279, 9979, 3201, 304, 279, 46044, 1603, 433, 6244, 21503, 13, 5112, 358, 4024, 1203, 311, 4950, 1578, 627, 40, 12570, 311, 264, 5743, 315, 4885, 389, 279, 4641, 11, 46574, 1603, 279, 10652, 574, 927, 11, 323, 35744, 304, 4950, 1421, 283, 10194, 3131, 1578, 627, 40, 1097, 7422, 922, 4560, 311, 1935, 29026, 596, 10368, 538, 520, 45491, 24483, 16986, 6693, 627, 40, 13383, 420, 1253, 387, 264, 2466, 16930, 26, 358, 1436, 6847, 3775, 323, 539, 387, 3025, 311, 1524, 636, 7182, 2162, 13, 358, 2643, 636, 2162, 323, 539, 387, 3025, 311, 636, 704, 315, 4950, 369, 2500, 220, 1187, 6596, 14841, 13, 358, 2643, 387, 3958, 3403, 430, 358, 1205, 264, 10896, 477, 264, 8952, 1314, 3201, 627, 40, 1390, 311, 32593, 856, 24569, 13, 358, 1390, 311, 32593, 856, 10082, 304, 7182, 13, 220, 358, 1390, 311, 387, 1664, 11, 477, 439, 1664, 439, 29546, 649, 387, 3685, 13, 358, 1390, 311, 387, 1664, 3403, 430, 422, 9976, 12, 9493, 279, 1828, 29788, 4131, 311, 3449, 2362, 4885, 323, 12903, 323, 8343, 323, 58587, 279, 1938, 3201, 11, 358, 2846, 3025, 311, 99325, 2019, 330, 9642, 25765, 40, 1390, 433, 13, 11717, 398, 627, 644, 220, 1049, 23, 11, 358, 4745, 856, 43595, 13, 1102, 574, 539, 369, 6996, 315, 4560, 13, 56478, 220, 1041, 4, 315, 856, 220, 1049, 22, 43595, 574, 264, 35631, 3217, 26, 1903, 757, 2733, 11, 1664, 11, 3169, 315, 12691, 13, 220, 12424, 2288, 14363, 311, 90031, 32078, 4994, 315, 279, 2162, 627, 40, 4265, 1427, 520, 1884, 43595, 11, 5439, 389, 279, 4156, 2199, 315, 856, 1938, 50811, 11, 520, 3325, 3131, 264, 2305, 11, 7170, 810, 13, 2435, 1051, 810, 30667, 311, 757, 1109, 20343, 13, 1666, 1855, 2305, 1053, 733, 555, 11, 358, 4265, 1781, 358, 4265, 1120, 656, 832, 315, 279, 4228, 6305, 11, 279, 2523, 6305, 320, 9336, 11, 3604, 814, 682, 1051, 5128, 2523, 705, 719, 1243, 358, 1120, 7846, 956, 627, 4071, 304, 279, 1566, 2380, 5672, 11, 358, 3077, 1027, 5616, 29704, 449, 1148, 264, 8839, 757, 11, 323, 420, 6693, 11, 1306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 719, 358, 3077, 1027, 709, 9976, 69205, 369, 264, 1695, 13651, 315, 3432, 2288, 13, 358, 1781, 279, 16088, 374, 3318, 627, 2170, 856, 2890, 36050, 11, 358, 617, 43347, 311, 7182, 311, 990, 389, 856, 26040, 62596, 726, 7512, 323, 4498, 1203, 1139, 279, 40543, 315, 9651, 3515, 1695, 11709, 2561, 311, 8343, 627, 5519, 358, 1781, 430, 358, 1097, 8647, 369, 856, 4785, 8895, 11, 477, 574, 358, 279, 11996, 315, 13463, 30, 358, 27136, 1541, 956, 1440, 13, 763, 279, 842, 11, 1587, 433, 2216, 5030, 5380, 2181, 374, 1148, 433, 374, 323, 358, 690, 1120, 3568, 449, 433, 627, 40, 1097, 2162, 11, 539, 5115, 2771, 1268, 98295, 358, 1288, 2733, 520, 279, 842, 315, 420, 1938, 13, 358, 3077, 1047, 264, 1396, 315, 5115, 34973, 24455, 11, 904, 832, 315, 902, 11, 304, 279, 3347, 11, 1053, 617, 15338, 757, 927, 279, 6964, 13, 358, 656, 88017, 311, 264, 8547, 315, 51120, 7709, 439, 358, 2846, 20061, 420, 5117, 1772, 13, 452, 651, 788, 28361, 13, 2030, 912, 11670, 16024, 315, 19788, 323, 61029, 439, 358, 1053, 617, 6612, 304, 279, 2362, 2919, 627, 5159, 1938, 3940, 1022, 449, 264, 4034, 311, 2999, 13, 650, 14863, 1283, 374, 539, 1193, 264, 1043, 9225, 10896, 449, 6625, 16792, 11, 719, 264, 1633, 30598, 323, 8369, 1732, 2288, 13, 358, 656, 4510, 430, 568, 3604, 482, 520, 3115, 482, 11321, 430, 568, 706, 264, 79051, 2802, 304, 3339, 856, 2324, 810, 893, 351, 481, 11, 323, 779, 358, 1427, 4741, 311, 9298, 1461, 13, 1115, 6693, 574, 539, 779, 2523, 11, 3582, 627, 2822, 11, 568, 3287, 956, 656, 4205, 5076, 13, 763, 2144, 11, 568, 323, 813, 4459, 5687, 1051, 5115, 8830, 323, 5844, 347, 1113, 13, 1472, 1518, 11, 1120, 1603, 13353, 304, 279, 6134, 311, 813, 5274, 4857, 11, 433, 7077, 13, 578, 11670, 25611, 71, 4511, 11677, 13, 1628, 433, 574, 264, 2466, 612, 46946, 832, 13, 358, 3463, 922, 13353, 9986, 7214, 323, 43759, 279, 18101, 11, 719, 568, 374, 2653, 311, 636, 304, 311, 1518, 11, 358, 617, 682, 1521, 1023, 50600, 4787, 389, 902, 568, 4460, 311, 17988, 304, 11, 323, 7995, 11, 8051, 358, 2733, 1093, 279, 1193, 832, 430, 420, 706, 3596, 7077, 311, 320, 40, 2733, 430, 1648, 1855, 323, 1475, 892, 433, 8741, 902, 374, 14134, 705, 304, 2144, 358, 2846, 2771, 433, 374, 264, 1648, 315, 2324, 304, 872, 28913, 13, 358, 3952, 927, 832, 315, 872, 879, 40983, 369, 922, 220, 868, 4520, 11, 323, 22763, 78446, 14739, 505, 279, 6930, 709, 11, 323, 463, 370, 2915, 264, 259, 18177, 315, 264, 22843, 2163, 311, 757, 11, 719, 439, 28822, 439, 358, 1436, 387, 1234, 279, 13463, 13, 1628, 912, 11, 369, 1884, 315, 499, 889, 527, 922, 311, 2610, 13, 358, 1550, 539, 6227, 311, 4546, 264, 2349, 315, 15447, 3235, 369, 420, 11879, 627, 40, 574, 14604, 11, 358, 636, 19781, 284, 1633, 19781, 482, 520, 904, 3169, 315, 65281, 11, 323, 2999, 13, 650, 12, 574, 1664, 927, 459, 6596, 3389, 369, 1057, 18101, 13, 1226, 3952, 279, 4459, 892, 4124, 682, 9437, 11, 323, 358, 4460, 311, 3868, 369, 264, 864, 1479, 311, 387, 5439, 1603, 358, 2163, 13, 358, 574, 39019, 11, 6041, 311, 2733, 264, 38678, 5108, 389, 11, 779, 358, 6288, 10837, 311, 279, 8748, 3130, 311, 2503, 304, 832, 315, 279, 26993, 3156, 279, 5429, 574, 9124, 627, 2675, 617, 311, 3619, 856, 1648, 315, 1694, 520, 420, 1486, 13, 358, 1097, 539, 779, 14363, 430, 856, 8271, 374, 2744, 704, 315, 12396, 323, 358, 1097, 304, 4950, 220, 1187, 14, 22, 13, 1102, 596, 810, 1093, 358, 2846, 264, 1841, 4401, 389, 433, 596, 1566, 282, 19131, 13, 358, 1629, 11, 323, 5115, 1664, 8051, 1070, 374, 459, 16940, 23948, 323, 6996, 315, 5178, 8748, 311, 1207, 466, 69, 4838, 757, 13, 2030, 994, 279, 10633, 374, 704, 11, 358, 2846, 2884, 13, 358, 1205, 311, 4498, 1139, 4950, 7214, 11, 323, 8541, 311, 6212, 369, 3116, 311, 4848, 4207, 520, 264, 892, 13, 4702, 369, 279, 3335, 11, 420, 1587, 539, 24927, 856, 75860, 21811, 5497, 520, 682, 13, 3011, 596, 1268, 22655, 3221, 279, 6964, 358, 1097, 2103, 10565, 627, 6153, 279, 18101, 574, 927, 11, 358, 2751, 7182, 1203, 1139, 279, 1841, 323, 1903, 279, 6596, 6678, 1203, 1139, 279, 34681, 13, 358, 1047, 264, 2478, 1886, 2914, 430, 2011, 387, 8308, 11, 1524, 3582, 358, 574, 779, 2230, 11, 387, 2000, 2133, 2162, 13, 358, 7020, 430, 3131, 358, 4295, 856, 4156, 6134, 11, 433, 574, 927, 323, 358, 5828, 956, 2133, 904, 2050, 1578, 627, 5451, 3009, 26, 40904, 82, 48175, 1405, 814, 1051, 10168, 2380, 65835, 369, 757, 13, 35761, 627, 16041, 3009, 25, 549, 815, 13, 3962, 8410, 311, 8232, 704, 19123, 323, 856, 3851, 311, 362, 43893, 627, 38075, 14549, 25, 480, 22110, 596, 8152, 430, 706, 459, 47135, 304, 902, 358, 1097, 3025, 311, 1304, 6201, 34751, 13, 2052, 315, 856, 1080, 30592, 12933, 13262, 1137, 8515, 11, 719, 539, 682, 315, 1124, 1935, 433, 1203, 304, 471, 627, 89703, 14549, 25, 58237, 264, 2678, 3185, 4179, 295, 505, 480, 22110, 82, 11, 61814, 596, 91715, 369, 264, 70485, 1494, 6621, 2642, 627, 40, 13541, 1139, 480, 22110, 596, 13217, 2763, 8430, 5115, 69732, 4341, 505, 682, 279, 5820, 304, 279, 6693, 13, 4740, 682, 11, 358, 1047, 2163, 2162, 555, 220, 605, 6912, 11, 323, 539, 17454, 2884, 449, 279, 18101, 5196, 3156, 7344, 220, 16, 25, 966, 13, 5112, 264, 8821, 84674, 23091, 4974, 311, 279, 33400, 902, 7612, 3794, 704, 315, 279, 1841, 311, 1304, 264, 3820, 5352, 13, 362, 6678, 1555, 279, 1772, 5274, 311, 16946, 856, 8232, 304, 279, 4994, 3830, 11, 1243, 7833, 311, 480, 22110, 82, 41282, 22503, 11, 264, 84955, 220, 20, 4520, 3201, 627, 40, 574, 39019, 13, 31351, 13, 2100, 2230, 13, 358, 7995, 574, 539, 8430, 709, 311, 3411, 2212, 279, 13217, 2763, 369, 264, 3634, 3117, 505, 279, 3637, 11, 779, 358, 3952, 264, 48270, 5795, 7858, 13, 358, 617, 264, 29960, 569, 13, 2100, 34872, 757, 627, 40, 2751, 704, 315, 279, 1841, 11, 7537, 311, 26251, 264, 2678, 6710, 315, 26964, 704, 304, 279, 29918, 2045, 1120, 4994, 315, 872, 6134, 11, 1243, 733, 304, 311, 1005, 279, 47135, 13, 578, 8398, 12542, 5602, 757, 11689, 304, 813, 5216, 323, 893, 361, 424, 291, 5678, 311, 2565, 2680, 13, 5629, 311, 279, 23701, 11, 1243, 311, 279, 3637, 13, 2468, 430, 1486, 11, 358, 5828, 956, 2771, 422, 568, 1047, 264, 3575, 477, 574, 1120, 30355, 11, 779, 358, 10408, 74228, 1461, 323, 1550, 856, 2626, 13, 220, 966, 6622, 3010, 320, 2465, 16946, 35498, 574, 682, 5644, 369, 279, 47135, 1603, 9564, 2162, 420, 6693, 705, 358, 574, 704, 279, 6134, 315, 480, 22110, 82, 11, 14836, 1046, 2177, 279, 13217, 2763, 311, 5425, 279, 2678, 8761, 311, 61814, 596, 91715, 627, 4897, 596, 994, 568, 1046, 537, 291, 757, 13, 220, 330, 2675, 649, 956, 6246, 1618, 994, 499, 617, 539, 559, 18033, 1618, 1210, 568, 11224, 13, 1628, 358, 28478, 1461, 430, 358, 1047, 2884, 47135, 2626, 323, 574, 1457, 1120, 4401, 4028, 279, 8761, 369, 264, 5043, 77248, 315, 16385, 13, 5414, 3663, 574, 2653, 323, 653, 3647, 8138, 13, 330, 2675, 1436, 539, 617, 11021, 4205, 304, 279, 892, 430, 499, 1051, 304, 279, 3637, 13, 1472, 1051, 1193, 1070, 369, 264, 2132, 1210, 358, 20592, 430, 358, 574, 1193, 1070, 311, 1304, 264, 5043, 47135, 16946, 323, 10035, 11, 856, 892, 4871, 574, 2875, 719, 1457, 358, 1047, 2555, 775, 311, 656, 13, 1283, 30526, 311, 1518, 856, 47135, 23383, 26, 279, 7901, 574, 2678, 779, 358, 1550, 539, 636, 832, 719, 1524, 422, 358, 1047, 11, 279, 1647, 552, 430, 358, 1051, 7366, 1051, 7000, 315, 813, 2626, 1234, 904, 13463, 627, 39522, 9135, 568, 30526, 13, 358, 4460, 311, 3351, 856, 1841, 704, 315, 480, 22110, 596, 41282, 22503, 323, 927, 4028, 279, 8761, 13, 8489, 11, 358, 16436, 13, 1283, 14980, 1633, 3345, 311, 757, 1131, 3663, 304, 856, 3663, 11, 26192, 430, 358, 3060, 1501, 1461, 264, 23383, 505, 279, 47135, 477, 568, 574, 2133, 311, 617, 856, 1841, 16190, 291, 13, 330, 64816, 1, 358, 20592, 13, 330, 51, 363, 856, 1841, 13, 358, 617, 4885, 889, 527, 21866, 520, 279, 65968, 13, 256, 5112, 358, 6656, 3201, 505, 1461, 11, 15203, 1139, 61814, 596, 11, 323, 1047, 856, 16385, 2949, 220, 20, 4520, 627, 40, 15203, 1203, 1139, 279, 480, 22110, 596, 13217, 2763, 8430, 1633, 18713, 75325, 13, 2876, 1664, 520, 682, 13, 1628, 358, 3463, 11, 358, 1541, 956, 617, 311, 1935, 430, 3169, 315, 68330, 24639, 13, 358, 574, 2133, 311, 733, 304, 279, 3637, 323, 29011, 627, 40, 1550, 13, 578, 3637, 6783, 28478, 757, 430, 279, 7564, 574, 264, 832, 11477, 28779, 369, 279, 4725, 7564, 11, 8434, 956, 387, 1203, 11, 323, 430, 568, 1053, 3137, 311, 1461, 13, 358, 2846, 14470, 2771, 430, 7000, 315, 430, 574, 837, 11, 5423, 279, 1566, 961, 11, 719, 358, 574, 6041, 311, 2733, 1524, 43383, 323, 43383, 449, 430, 15526, 15489, 8430, 430, 36841, 82829, 264, 38678, 287, 9417, 11, 779, 358, 11928, 813, 10552, 367, 323, 2163, 627, 1966, 279, 1648, 1203, 311, 856, 1841, 11, 358, 5602, 279, 4868, 7564, 11961, 389, 813, 31056, 389, 832, 315, 279, 26993, 304, 4156, 315, 279, 3637, 13, 358, 3474, 21020, 555, 1461, 11, 323, 10717, 304, 4156, 13, 330, 7131, 499, 1518, 430, 358, 1120, 3782, 704, 315, 480, 22110, 82, 1578, 7673, 358, 4691, 1461, 13, 330, 40, 4024, 304, 1070, 311, 11951, 29011, 922, 499, 1210, 10541, 568, 6818, 311, 2019, 2555, 1203, 311, 757, 11, 358, 1047, 912, 2802, 323, 574, 2736, 11689, 3201, 627, 40, 2751, 304, 856, 1841, 11, 13541, 704, 315, 856, 3634, 11, 323, 6818, 311, 5387, 279, 6237, 13, 2030, 439, 264, 1566, 50104, 5149, 520, 30931, 757, 11, 568, 2751, 304, 4156, 315, 856, 1841, 779, 358, 1047, 311, 1203, 709, 323, 6958, 2212, 1461, 627, 11649, 11, 358, 574, 2216, 19781, 520, 430, 1486, 13, 358, 4460, 311, 2586, 2162, 11, 1935, 264, 17639, 11, 2349, 856, 15447, 11, 323, 636, 35189, 369, 779, 2230, 3673, 304, 7214, 13, 5112, 358, 3952, 264, 26944, 13, 1628, 39826, 709, 449, 459, 29213, 8430, 13, 358, 1781, 358, 1440, 1148, 813, 3575, 574, 627, 40, 1047, 1511, 279, 48270, 5795, 13217, 3634, 13, 358, 617, 264, 23583, 1205, 369, 433, 520, 3115, 11, 3432, 1694, 832, 315, 1124, 11, 719, 433, 596, 279, 1890, 439, 682, 315, 856, 1023, 4819, 13, 18156, 814, 1501, 1555, 9539, 389, 279, 4994, 11, 323, 7170, 814, 1541, 956, 13, 358, 3358, 1297, 568, 3463, 358, 574, 69579, 279, 1314, 311, 6246, 1070, 323, 574, 21933, 1203, 304, 264, 66275, 398, 1648, 13, 1789, 422, 568, 11846, 304, 813, 4851, 430, 358, 2216, 1047, 912, 1314, 311, 6246, 1070, 11, 568, 1436, 617, 1071, 2555, 311, 856, 3663, 323, 358, 1436, 617, 743, 1461, 7833, 389, 279, 7858, 13, 44493, 11, 264, 33510, 315, 279, 330, 51729, 1, 304, 21497, 449, 279, 3492, 523, 6868, 1694, 22066, 690, 636, 1274, 311, 1203, 1022, 13, 1628, 1243, 358, 1053, 733, 1022, 389, 264, 2875, 1891, 62078, 8393, 922, 1268, 889, 374, 568, 13971, 323, 568, 2216, 706, 912, 1314, 311, 1304, 32946, 13, 2030, 433, 1053, 387, 927, 627, 7184, 358, 2846, 23268, 13, 358, 2733, 1093, 358, 1205, 311, 733, 1203, 323, 17302, 1461, 810, 13, 3744, 315, 420, 1205, 11, 358, 1440, 11, 374, 757, 8430, 5986, 323, 19762, 311, 1935, 433, 704, 389, 18570, 11, 21739, 13, 3744, 315, 433, 374, 856, 2362, 33247, 19788, 55885, 4819, 13, 3744, 374, 93592, 4633, 26, 358, 649, 1304, 264, 34734, 15864, 6288, 430, 690, 4822, 449, 1274, 13, 2030, 682, 315, 433, 1053, 387, 264, 97937, 12571, 315, 892, 323, 4907, 627, 40, 1541, 956, 1440, 889, 14614, 32860, 279, 13217, 2763, 11, 719, 358, 656, 1440, 430, 358, 617, 539, 1047, 4819, 1093, 420, 1603, 13, 26848, 1109, 2133, 1203, 1070, 449, 279, 14944, 311, 1304, 264, 6237, 11, 358, 1097, 2133, 311, 6212, 389, 433, 13, 358, 3358, 4762, 2733, 2731, 304, 279, 6693, 13, 1628, 422, 279, 1890, 7564, 374, 1070, 16986, 994, 358, 3009, 555, 320, 40, 656, 3604, 3197, 311, 3780, 24822, 520, 480, 22110, 82, 16986, 4856, 1109, 433, 1120, 1694, 264, 3300, 3009, 705, 358, 1253, 30666, 17302, 1461, 1243, 389, 1148, 358, 15562, 568, 13919, 13, 2030, 304, 264, 5457, 1285, 323, 14400, 11827, 11, 13819, 773, 291, 311, 30647, 268, 1193, 264, 2697, 323, 14918, 39170, 627, 1687, 3358, 1518, 13, 1789, 1457, 11, 358, 2846, 2133, 311, 4950, 13, 358, 3987, 358, 617, 10437, 19226, 2085, 904, 27351, 315, 4868, 27270, 41573, 7141, 258, 1124, 627, 40, 1903, 433, 1555, 29026, 596, 538, 420, 6693, 520, 45491, 24483, 449, 2697, 810, 1109, 279, 13783, 3575, 2391, 10368, 1131, 358, 1097, 1790, 43383, 1109, 358, 8767, 574, 11, 719, 430, 574, 66982, 369, 555, 779, 2478, 4236, 430, 9604, 304, 279, 6693, 13, 1628, 779, 11, 2533, 358, 2103, 1047, 264, 2697, 4907, 2163, 11, 358, 1903, 856, 1648, 311, 4410, 13345, 93285, 369, 279, 4948, 8577, 304, 1403, 2919, 11, 420, 892, 311, 3780, 264, 364, 41818, 6, 28087, 369, 856, 38600, 13, 2030, 358, 4170, 676, 627, 11874, 477, 2380, 1667, 4227, 482, 358, 29695, 1268, 1317, 520, 420, 1486, 1131, 1436, 387, 1524, 5129, 482, 358, 574, 19781, 315, 2744, 1694, 73581, 291, 555, 279, 364, 37521, 6, 842, 315, 856, 38600, 994, 358, 1053, 2231, 279, 1579, 89561, 82981, 389, 433, 323, 11623, 856, 32278, 1523, 13, 94192, 889, 596, 9764, 66209, 757, 520, 420, 1486, 11, 14618, 704, 430, 358, 1436, 733, 311, 5492, 48070, 323, 3780, 264, 502, 8762, 842, 315, 279, 38600, 323, 4160, 10746, 17581, 856, 5435, 1053, 387, 927, 13, 2100, 358, 1903, 279, 45688, 11, 574, 14792, 520, 1268, 4228, 433, 574, 311, 25539, 832, 11, 3782, 2162, 11, 323, 5602, 291, 1022, 279, 842, 315, 856, 38600, 449, 264, 9979, 22145, 627, 31140, 11, 279, 8762, 842, 15075, 505, 5492, 48070, 3287, 956, 5052, 13, 358, 1550, 539, 3619, 3249, 11, 719, 6688, 709, 7214, 304, 68162, 13, 23966, 3149, 430, 279, 23506, 842, 315, 279, 4018, 12744, 38600, 1053, 990, 1120, 7060, 449, 264, 14654, 9435, 311, 279, 14512, 311, 5376, 3090, 7410, 11, 323, 430, 433, 1550, 369, 3892, 1667, 627, 4071, 439, 892, 4024, 555, 11, 323, 856, 12875, 1511, 856, 32278, 439, 264, 281, 11218, 1486, 1418, 358, 574, 14363, 11, 330, 58174, 1, 3940, 4857, 709, 704, 1070, 323, 617, 1027, 1633, 539, 75438, 439, 315, 3389, 13, 11717, 3403, 311, 7236, 2500, 4879, 520, 279, 38600, 779, 430, 433, 1053, 4287, 34779, 13, 2030, 420, 892, 11, 4619, 315, 2133, 311, 5492, 48070, 1405, 814, 617, 4395, 719, 358, 1097, 13524, 389, 856, 1866, 11, 358, 6773, 311, 733, 311, 856, 2254, 56226, 627, 7009, 1051, 11, 439, 2744, 11, 1633, 11190, 13, 358, 8710, 709, 13985, 10371, 369, 264, 8762, 20581, 369, 264, 38600, 13, 330, 3923, 1404, 7673, 814, 4691, 13, 473, 12825, 30, 358, 3287, 956, 1440, 1148, 1404, 11, 719, 439, 584, 14407, 433, 11, 1070, 527, 14132, 4725, 30387, 96936, 323, 330, 64771, 1, 96936, 13, 3092, 38600, 374, 264, 1633, 8987, 14523, 832, 11, 779, 358, 3309, 1124, 430, 433, 574, 4725, 13, 3011, 7612, 264, 220, 20, 14, 23, 1, 477, 220, 18, 14, 19, 1, 842, 627, 40, 11021, 433, 11, 323, 264, 502, 1579, 7410, 82981, 311, 10677, 11, 323, 3782, 2162, 2539, 315, 28361, 13, 90796, 279, 8762, 842, 1022, 315, 279, 3113, 3786, 11, 323, 6818, 311, 5052, 433, 1139, 279, 38600, 13, 2360, 733, 13, 2360, 5030, 1148, 358, 1550, 11, 433, 1053, 539, 387, 22306, 4999, 11649, 11, 358, 1541, 956, 1440, 1148, 3169, 315, 36980, 4234, 26314, 3782, 927, 757, 11, 719, 358, 6773, 311, 733, 1203, 311, 279, 56226, 1578, 13, 2030, 1603, 358, 2163, 11, 358, 17303, 279, 8736, 304, 856, 38600, 13, 220, 20, 14, 23, 3343, 578, 842, 1288, 617, 5052, 0, 1628, 779, 11, 304, 264, 9024, 3113, 315, 83580, 11, 358, 6773, 311, 5602, 2500, 220, 21, 1, 1022, 315, 279, 842, 315, 279, 38600, 323, 1935, 433, 311, 279, 56226, 449, 757, 627, 3792, 2949, 279, 6596, 315, 279, 2926, 7782, 11, 814, 315, 3388, 15324, 757, 13, 1226, 91670, 922, 279, 38600, 13, 3277, 358, 6688, 1124, 279, 6710, 11, 814, 7378, 430, 279, 4113, 842, 1288, 617, 5052, 11, 719, 433, 3287, 956, 13, 1628, 779, 814, 6216, 757, 264, 220, 16, 14, 17, 1, 8762, 842, 627, 40, 3782, 2162, 11, 2231, 279, 842, 304, 1131, 433, 574, 20784, 11, 719, 994, 358, 27528, 279, 32942, 15220, 4668, 11, 433, 5052, 32719, 627, 40, 79599, 12673, 279, 82981, 8800, 279, 38600, 11, 323, 3940, 311, 11623, 856, 32278, 1523, 13, 1102, 574, 17104, 10307, 682, 430, 35098, 15187, 2273, 1022, 315, 433, 323, 1139, 279, 26351, 13, 1628, 1243, 1975, 735, 1905, 58851, 4999, 3947, 574, 459, 25176, 520, 279, 7147, 1405, 279, 993, 6021, 574, 0, 10164, 574, 16706, 220, 21, 7693, 709, 1139, 279, 3805, 0, 358, 9770, 856, 1648, 1555, 279, 46866, 315, 15715, 64, 11, 323, 6656, 279, 993, 6021, 1022, 13, 110425, 0, 358, 1047, 1047, 264, 330, 56, 1, 3717, 389, 279, 993, 6021, 779, 430, 433, 2643, 3790, 2225, 856, 38600, 323, 279, 779, 4506, 38600, 430, 8640, 4920, 856, 61741, 13, 41974, 11, 927, 279, 1667, 11, 433, 1047, 10241, 1908, 13, 1226, 3448, 291, 13, 1628, 994, 9770, 311, 56195, 449, 279, 11210, 1203, 709, 315, 3090, 2949, 433, 596, 816, 11, 433, 7846, 956, 3790, 433, 13, 76278, 311, 9863, 11, 779, 311, 6604, 627, 40, 6288, 2751, 856, 89686, 596, 60588, 323, 7108, 1148, 574, 2163, 505, 279, 993, 6021, 13, 23966, 3149, 358, 4265, 15866, 279, 38600, 6089, 389, 323, 3136, 449, 279, 3465, 29883, 25417, 13, 2030, 994, 358, 7882, 389, 311, 279, 1023, 842, 315, 279, 816, 3717, 11, 433, 574, 2288, 6573, 398, 12673, 311, 279, 8954, 842, 315, 279, 38600, 311, 387, 4529, 1022, 13, 35315, 1908, 1120, 1093, 6896, 81, 1908, 7091, 13, 110425, 13, 4212, 311, 733, 1203, 311, 279, 56226, 369, 2500, 842, 627, 62557, 420, 13658, 11, 279, 842, 574, 389, 13, 578, 7410, 82981, 574, 12673, 13, 578, 38600, 574, 8599, 311, 279, 502, 816, 3717, 12673, 311, 279, 993, 6021, 304, 279, 7147, 627, 40, 6656, 389, 279, 3090, 13, 83531, 856, 11745, 627, 4071, 4400, 13365, 83071, 7077, 0, 358, 38593, 1523, 856, 32278, 449, 342, 8669, 13, 62143, 47365, 449, 1120, 430, 11, 358, 38593, 1523, 856, 32278, 14620, 13, 6113, 291, 1523, 856, 4868, 4264, 13, 6113, 291, 1523, 856, 18618, 13, 6113, 291, 1523, 856, 32278, 14620, 1578, 13, 1628, 38593, 279, 32278, 832, 810, 892, 369, 1695, 6767, 627, 2181, 50737, 2731, 704, 1070, 13, 2876, 682, 279, 1648, 1203, 311, 22281, 3686, 11, 719, 449, 264, 7446, 28786, 323, 8369, 9282, 13847, 311, 17782, 304, 9853, 12167, 3010, 420, 2046, 11, 358, 2846, 47576, 430, 433, 690, 387, 10437, 555, 420, 9178, 627, 2173, 3388, 11, 1457, 430, 279, 38600, 706, 1027, 27023, 449, 11, 358, 1205, 311, 6227, 13, 1102, 596, 6186, 13, 578, 12047, 2305, 315, 279, 1060, 369, 757, 13, 1789, 358, 3021, 264, 13863, 430, 706, 15042, 8545, 11, 719, 304, 9853, 12167, 11, 6186, 374, 279, 2305, 430, 584, 1205, 311, 4018, 279, 61741, 1203, 13, 358, 12491, 430, 627, 4071, 358, 1101, 6227, 279, 832, 1060, 358, 6773, 311, 1518, 1148, 1053, 3621, 304, 279, 13863, 422, 358, 1550, 539, 4018, 1124, 1523, 311, 357, 12055, 13, 1102, 574, 28360, 13, 2435, 1051, 28360, 627, 25797, 11, 279, 82569, 315, 264, 961, 7394, 22641, 804, 13, 2030, 520, 3325, 3432, 11, 358, 1047, 264, 6380, 13696, 13, 3011, 374, 11, 23128, 336, 11, 3604, 11, 1403, 315, 1124, 627, 2822, 11, 358, 2846, 539, 7556, 27211, 46899, 13, 358, 2846, 7556, 922, 430, 7147, 430, 584, 682, 4295, 389, 13402, 26, 994, 584, 5042, 4250, 733, 389, 279, 1890, 3388, 627, 40, 2846, 31256, 315, 46315, 393, 12119, 331, 11, 315, 578, 8155, 68072, 11, 323, 813, 59485, 430, 14620, 527, 1070, 311, 1518, 1268, 25587, 584, 1390, 2555, 13, 1442, 584, 2216, 1390, 433, 11, 584, 690, 1505, 264, 1648, 2212, 477, 1555, 433, 627, 15724, 11, 1578, 11, 358, 4295, 279, 7147, 13, 358, 1047, 2736, 6656, 1523, 459, 29788, 311, 12903, 320, 1146, 337, 11, 10035, 482, 264, 1208, 75247, 31685, 8, 449, 1695, 323, 2362, 4885, 1131, 26907, 279, 3813, 574, 304, 5843, 13011, 323, 358, 1440, 430, 358, 1097, 539, 1664, 3403, 311, 733, 430, 3117, 3201, 505, 2162, 11, 1524, 994, 10463, 574, 779, 3169, 439, 311, 3085, 311, 6678, 757, 13, 3277, 358, 4295, 11, 358, 2846, 1523, 369, 279, 1797, 11, 323, 311, 1243, 46753, 264, 220, 1954, 311, 220, 4364, 9568, 6678, 2162, 30, 3011, 1120, 4536, 956, 304, 279, 7563, 627, 4516, 358, 20186, 2162, 11, 7559, 856, 36127, 32502, 320, 8370, 358, 690, 1205, 3131, 279, 6661, 4131, 505, 9983, 8398, 311, 636, 856, 7720, 705, 16204, 709, 2362, 3626, 3235, 279, 1648, 13, 358, 34490, 47640, 64, 8521, 856, 13863, 38600, 11, 264, 1772, 369, 16986, 477, 279, 1828, 1938, 994, 279, 47403, 374, 4686, 13, 358, 4024, 311, 279, 20957, 3157, 11, 1243, 3782, 2162, 323, 54662, 264, 16553, 13, 1628, 4295, 627, 4599, 358, 1097, 2884, 11, 358, 2846, 2216, 2884, 13, 358, 11203, 304, 856, 4950, 323, 1524, 439, 84524, 1176, 8579, 88, 87694, 11, 1243, 54945, 421, 1619, 11, 1243, 3940, 31299, 304, 55349, 1317, 323, 2653, 922, 1268, 30056, 568, 574, 369, 14177, 11, 358, 7846, 956, 3351, 13, 358, 1120, 11203, 1070, 11, 16026, 430, 568, 1053, 3009, 902, 315, 3388, 568, 3287, 956, 627, 10227, 7147, 374, 1070, 311, 1518, 1268, 25587, 499, 1390, 2555, 10246, 6153, 568, 39169, 369, 1063, 220, 868, 29437, 1157, 477, 779, 11, 358, 1766, 3403, 4907, 311, 636, 709, 323, 5510, 2225, 13305, 13, 2435, 1051, 1633, 6380, 13, 5112, 358, 4024, 1203, 311, 4950, 1578, 627, 40, 2231, 279, 54662, 16553, 323, 1023, 3691, 304, 279, 9979, 3201, 304, 279, 46044, 1603, 433, 6244, 21503, 13, 5112, 358, 4024, 1203, 311, 4950, 1578, 627, 40, 12570, 311, 264, 5743, 315, 4885, 389, 279, 4641, 11, 46574, 1603, 279, 10652, 574, 927, 11, 323, 35744, 304, 4950, 1421, 283, 10194, 3131, 1578, 627, 40, 1097, 7422, 922, 4560, 311, 1935, 29026, 596, 10368, 538, 520, 45491, 24483, 16986, 6693, 627, 40, 13383, 420, 1253, 387, 264, 2466, 16930, 26, 358, 1436, 6847, 3775, 323, 539, 387, 3025, 311, 1524, 636, 7182, 2162, 13, 358, 2643, 636, 2162, 323, 539, 387, 3025, 311, 636, 704, 315, 4950, 369, 2500, 220, 1187, 6596, 14841, 13, 358, 2643, 387, 3958, 3403, 430, 358, 1205, 264, 10896, 477, 264, 8952, 1314, 3201, 627, 40, 1390, 311, 32593, 856, 24569, 13, 358, 1390, 311, 32593, 856, 10082, 304, 7182, 13, 220, 358, 1390, 311, 387, 1664, 11, 477, 439, 1664, 439, 29546, 649, 387, 3685, 13, 358, 1390, 311, 387, 1664, 3403, 430, 422, 9976, 12, 9493, 279, 1828, 29788, 4131, 311, 3449, 2362, 4885, 323, 12903, 323, 8343, 323, 58587, 279, 1938, 3201, 11, 358, 2846, 3025, 311, 99325, 2019, 330, 9642, 25765, 40, 1390, 433, 13, 11717, 398, 627, 644, 220, 1049, 23, 11, 358, 4745, 856, 43595, 13, 1102, 574, 539, 369, 6996, 315, 4560, 13, 56478, 220, 1041, 4, 315, 856, 220, 1049, 22, 43595, 574, 264, 35631, 3217, 26, 1903, 757, 2733, 11, 1664, 11, 3169, 315, 12691, 13, 220, 12424, 2288, 14363, 311, 90031, 32078, 4994, 315, 279, 2162, 627, 40, 4265, 1427, 520, 1884, 43595, 11, 5439, 389, 279, 4156, 2199, 315, 856, 1938, 50811, 11, 520, 3325, 3131, 264, 2305, 11, 7170, 810, 13, 2435, 1051, 810, 30667, 311, 757, 1109, 20343, 13, 1666, 1855, 2305, 1053, 733, 555, 11, 358, 4265, 1781, 358, 4265, 1120, 656, 832, 315, 279, 4228, 6305, 11, 279, 2523, 6305, 320, 9336, 11, 3604, 814, 682, 1051, 5128, 2523, 705, 719, 1243, 358, 1120, 7846, 956, 627, 4071, 304, 279, 1566, 2380, 5672, 11, 358, 3077, 1027, 5616, 29704, 449, 1148, 264, 8839, 757, 11, 323, 420, 6693, 11, 1306 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095 ]
4,096
[ 814, 35717, 279, 8333, 315, 856, 60595, 13985, 11, 358, 2846, 3604, 8430, 264, 75165, 2766, 2731, 13, 2876, 1664, 3403, 311, 15612, 264, 95164, 304, 16044, 315, 856, 2890, 13, 2876, 1664, 3403, 311, 1524, 2733, 28478, 430, 279, 9327, 374, 2133, 311, 3136, 13, 2030, 1566, 3814, 11, 856, 34653, 1193, 4024, 709, 311, 220, 1484, 13, 23, 4856, 1109, 279, 220, 4278, 5636, 12628, 315, 279, 4972, 8223, 5672, 11, 323, 358, 1193, 1047, 311, 2349, 856, 25112, 3131, 13, 16418, 627, 3112, 779, 358, 1097, 8430, 1120, 264, 2697, 810, 6928, 420, 6693, 11, 323, 3463, 358, 4265, 1772, 856, 43595, 627, 78668, 82, 304, 279, 100240, 13, 7566, 11, 358, 1440, 430, 433, 596, 3169, 315, 264, 9155, 370, 265, 4623, 11, 719, 433, 596, 330, 4317, 28736, 1, 757, 369, 1667, 1457, 323, 358, 1053, 1093, 311, 1518, 279, 14192, 88, 5784, 430, 358, 1440, 433, 2011, 387, 13, 1628, 358, 1390, 311, 1866, 856, 1633, 1866, 31316, 4877, 627, 17, 13, 358, 690, 9604, 459, 1567, 520, 279, 16795, 47784, 11166, 13, 358, 1541, 956, 2512, 1148, 433, 374, 13, 358, 1541, 956, 1524, 2512, 430, 433, 596, 16795, 13, 358, 1120, 1390, 311, 1518, 433, 627, 18, 13, 358, 690, 5813, 264, 8221, 311, 4662, 856, 44948, 304, 65629, 13, 9086, 856, 5117, 11, 433, 596, 2133, 311, 387, 2663, 330, 40, 2846, 25274, 1102, 1210, 358, 10273, 13, 578, 8221, 2316, 374, 2561, 627, 19, 13, 358, 690, 1935, 520, 3325, 3116, 6989, 611, 35936, 627, 20, 13, 358, 690, 4686, 856, 690, 13, 13538, 379, 65948, 1212, 19486, 311, 387, 279, 63932, 11, 499, 1288, 1440, 430, 358, 1541, 956, 617, 1790, 2163, 1306, 1694, 389, 28353, 369, 4330, 1667, 11, 719, 1148, 358, 617, 374, 2133, 311, 63140, 273, 13, 3005, 690, 1440, 1148, 311, 656, 449, 433, 13, 33386, 627, 21, 13, 358, 690, 733, 311, 578, 20315, 304, 16376, 46844, 369, 264, 89847, 13, 358, 3077, 4934, 311, 733, 1070, 369, 1667, 1457, 11, 3515, 6755, 3842, 473, 12, 37123, 389, 436, 6356, 347, 2740, 922, 433, 13, 4702, 779, 499, 1440, 11, 358, 1541, 956, 1781, 430, 12131, 94930, 315, 433, 26, 358, 1541, 956, 2512, 627, 22, 13, 358, 690, 68608, 264, 2571, 39139, 13, 1442, 358, 617, 279, 4907, 11, 358, 690, 1212, 279, 47420, 369, 433, 3432, 627, 24, 13, 358, 690, 1212, 12798, 369, 856, 10368, 6989, 1578, 13, 1115, 1288, 387, 3284, 2949, 279, 1828, 53474, 2919, 3131, 856, 9983, 8398, 323, 31822, 45731, 4131, 1555, 13, 720, 605, 13, 358, 690, 4686, 856, 9983, 8398, 18343, 1816, 13, 7181, 311, 659, 25, 358, 1205, 311, 1212, 3411, 369, 856, 4113, 36127, 32502, 3432, 11, 1603, 279, 16064, 17782, 304, 279, 8232, 13, 3092, 3217, 449, 9983, 8398, 927, 279, 3347, 3116, 1667, 11, 19969, 311, 636, 856, 75368, 14814, 1140, 291, 323, 12054, 11, 10975, 757, 430, 814, 690, 656, 5128, 1474, 1412, 4205, 311, 43793, 279, 1920, 13, 2435, 527, 539, 3794, 757, 389, 420, 832, 627, 806, 13, 358, 690, 1879, 709, 369, 31822, 13, 4761, 2528, 11, 719, 264, 8821, 1920, 1109, 9983, 8398, 627, 717, 13, 358, 690, 4048, 311, 4232, 323, 1514, 4731, 505, 279, 7757, 13, 4060, 5915, 30, 1556, 67992, 35, 13, 20776, 757, 311, 279, 1060, 220, 1049, 15, 627, 1032, 13, 358, 690, 636, 856, 1841, 33519, 709, 13, 1115, 374, 2500, 5820, 902, 374, 6724, 6904, 519, 5304, 43137, 82, 220, 605, 323, 220, 806, 1694, 8308, 323, 279, 6020, 25127, 34366, 627, 2675, 690, 5406, 430, 358, 656, 539, 656, 81967, 13850, 1838, 20813, 1093, 330, 40, 690, 9229, 4785, 1, 477, 330, 40, 690, 10368, 810, 1, 477, 330, 40, 690, 387, 810, 27331, 1, 477, 330, 40, 690, 387, 44467, 1, 304, 220, 1049, 24, 13, 358, 4510, 430, 1838, 20813, 1288, 387, 1633, 3230, 323, 66303, 13, 2435, 527, 10171, 311, 31740, 499, 311, 656, 2574, 499, 2643, 539, 6062, 656, 477, 617, 2744, 4934, 311, 656, 26, 11322, 2574, 323, 3139, 304, 5627, 430, 499, 1440, 499, 1053, 1093, 311, 3351, 627, 2181, 596, 539, 430, 358, 1541, 956, 3197, 311, 990, 389, 279, 3885, 13, 2030, 358, 1427, 5304, 1124, 810, 439, 330, 85257, 1, 1109, 330, 417, 20813, 1210, 2435, 527, 1120, 2555, 430, 358, 1288, 37106, 311, 11322, 11, 719, 439, 264, 961, 315, 18254, 5496, 13, 2435, 527, 19433, 11709, 11, 539, 11951, 92178, 13, 2435, 1397, 264, 6541, 304, 856, 51866, 323, 11709, 11, 323, 1268, 656, 499, 8417, 994, 499, 527, 6992, 520, 1124, 30, 25274, 1124, 330, 1079, 20813, 1, 374, 264, 11363, 311, 2733, 1093, 264, 8060, 627, 40, 4510, 430, 1555, 3230, 6299, 11, 1524, 1884, 539, 5552, 311, 856, 9021, 11, 856, 659, 85597, 690, 387, 13241, 323, 856, 9021, 690, 387, 810, 4461, 311, 387, 2322, 2288, 13, 3011, 16801, 706, 6575, 1664, 369, 757, 304, 279, 3347, 627, 7184, 11, 4587, 11, 1120, 1095, 856, 2547, 27661, 3403, 430, 358, 649, 11322, 2225, 13, 1838, 20813, 3651, 55293, 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 ]
[ 814, 35717, 279, 8333, 315, 856, 60595, 13985, 11, 358, 2846, 3604, 8430, 264, 75165, 2766, 2731, 13, 2876, 1664, 3403, 311, 15612, 264, 95164, 304, 16044, 315, 856, 2890, 13, 2876, 1664, 3403, 311, 1524, 2733, 28478, 430, 279, 9327, 374, 2133, 311, 3136, 13, 2030, 1566, 3814, 11, 856, 34653, 1193, 4024, 709, 311, 220, 1484, 13, 23, 4856, 1109, 279, 220, 4278, 5636, 12628, 315, 279, 4972, 8223, 5672, 11, 323, 358, 1193, 1047, 311, 2349, 856, 25112, 3131, 13, 16418, 627, 3112, 779, 358, 1097, 8430, 1120, 264, 2697, 810, 6928, 420, 6693, 11, 323, 3463, 358, 4265, 1772, 856, 43595, 627, 78668, 82, 304, 279, 100240, 13, 7566, 11, 358, 1440, 430, 433, 596, 3169, 315, 264, 9155, 370, 265, 4623, 11, 719, 433, 596, 330, 4317, 28736, 1, 757, 369, 1667, 1457, 323, 358, 1053, 1093, 311, 1518, 279, 14192, 88, 5784, 430, 358, 1440, 433, 2011, 387, 13, 1628, 358, 1390, 311, 1866, 856, 1633, 1866, 31316, 4877, 627, 17, 13, 358, 690, 9604, 459, 1567, 520, 279, 16795, 47784, 11166, 13, 358, 1541, 956, 2512, 1148, 433, 374, 13, 358, 1541, 956, 1524, 2512, 430, 433, 596, 16795, 13, 358, 1120, 1390, 311, 1518, 433, 627, 18, 13, 358, 690, 5813, 264, 8221, 311, 4662, 856, 44948, 304, 65629, 13, 9086, 856, 5117, 11, 433, 596, 2133, 311, 387, 2663, 330, 40, 2846, 25274, 1102, 1210, 358, 10273, 13, 578, 8221, 2316, 374, 2561, 627, 19, 13, 358, 690, 1935, 520, 3325, 3116, 6989, 611, 35936, 627, 20, 13, 358, 690, 4686, 856, 690, 13, 13538, 379, 65948, 1212, 19486, 311, 387, 279, 63932, 11, 499, 1288, 1440, 430, 358, 1541, 956, 617, 1790, 2163, 1306, 1694, 389, 28353, 369, 4330, 1667, 11, 719, 1148, 358, 617, 374, 2133, 311, 63140, 273, 13, 3005, 690, 1440, 1148, 311, 656, 449, 433, 13, 33386, 627, 21, 13, 358, 690, 733, 311, 578, 20315, 304, 16376, 46844, 369, 264, 89847, 13, 358, 3077, 4934, 311, 733, 1070, 369, 1667, 1457, 11, 3515, 6755, 3842, 473, 12, 37123, 389, 436, 6356, 347, 2740, 922, 433, 13, 4702, 779, 499, 1440, 11, 358, 1541, 956, 1781, 430, 12131, 94930, 315, 433, 26, 358, 1541, 956, 2512, 627, 22, 13, 358, 690, 68608, 264, 2571, 39139, 13, 1442, 358, 617, 279, 4907, 11, 358, 690, 1212, 279, 47420, 369, 433, 3432, 627, 24, 13, 358, 690, 1212, 12798, 369, 856, 10368, 6989, 1578, 13, 1115, 1288, 387, 3284, 2949, 279, 1828, 53474, 2919, 3131, 856, 9983, 8398, 323, 31822, 45731, 4131, 1555, 13, 720, 605, 13, 358, 690, 4686, 856, 9983, 8398, 18343, 1816, 13, 7181, 311, 659, 25, 358, 1205, 311, 1212, 3411, 369, 856, 4113, 36127, 32502, 3432, 11, 1603, 279, 16064, 17782, 304, 279, 8232, 13, 3092, 3217, 449, 9983, 8398, 927, 279, 3347, 3116, 1667, 11, 19969, 311, 636, 856, 75368, 14814, 1140, 291, 323, 12054, 11, 10975, 757, 430, 814, 690, 656, 5128, 1474, 1412, 4205, 311, 43793, 279, 1920, 13, 2435, 527, 539, 3794, 757, 389, 420, 832, 627, 806, 13, 358, 690, 1879, 709, 369, 31822, 13, 4761, 2528, 11, 719, 264, 8821, 1920, 1109, 9983, 8398, 627, 717, 13, 358, 690, 4048, 311, 4232, 323, 1514, 4731, 505, 279, 7757, 13, 4060, 5915, 30, 1556, 67992, 35, 13, 20776, 757, 311, 279, 1060, 220, 1049, 15, 627, 1032, 13, 358, 690, 636, 856, 1841, 33519, 709, 13, 1115, 374, 2500, 5820, 902, 374, 6724, 6904, 519, 5304, 43137, 82, 220, 605, 323, 220, 806, 1694, 8308, 323, 279, 6020, 25127, 34366, 627, 2675, 690, 5406, 430, 358, 656, 539, 656, 81967, 13850, 1838, 20813, 1093, 330, 40, 690, 9229, 4785, 1, 477, 330, 40, 690, 10368, 810, 1, 477, 330, 40, 690, 387, 810, 27331, 1, 477, 330, 40, 690, 387, 44467, 1, 304, 220, 1049, 24, 13, 358, 4510, 430, 1838, 20813, 1288, 387, 1633, 3230, 323, 66303, 13, 2435, 527, 10171, 311, 31740, 499, 311, 656, 2574, 499, 2643, 539, 6062, 656, 477, 617, 2744, 4934, 311, 656, 26, 11322, 2574, 323, 3139, 304, 5627, 430, 499, 1440, 499, 1053, 1093, 311, 3351, 627, 2181, 596, 539, 430, 358, 1541, 956, 3197, 311, 990, 389, 279, 3885, 13, 2030, 358, 1427, 5304, 1124, 810, 439, 330, 85257, 1, 1109, 330, 417, 20813, 1210, 2435, 527, 1120, 2555, 430, 358, 1288, 37106, 311, 11322, 11, 719, 439, 264, 961, 315, 18254, 5496, 13, 2435, 527, 19433, 11709, 11, 539, 11951, 92178, 13, 2435, 1397, 264, 6541, 304, 856, 51866, 323, 11709, 11, 323, 1268, 656, 499, 8417, 994, 499, 527, 6992, 520, 1124, 30, 25274, 1124, 330, 1079, 20813, 1, 374, 264, 11363, 311, 2733, 1093, 264, 8060, 627, 40, 4510, 430, 1555, 3230, 6299, 11, 1524, 1884, 539, 5552, 311, 856, 9021, 11, 856, 659, 85597, 690, 387, 13241, 323, 856, 9021, 690, 387, 810, 4461, 311, 387, 2322, 2288, 13, 3011, 16801, 706, 6575, 1664, 369, 757, 304, 279, 3347, 627, 7184, 11, 4587, 11, 1120, 1095, 856, 2547, 27661, 3403, 430, 358, 649, 11322, 2225, 13, 1838, 20813, 3651, 55293, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 791, 1648, 279, 10495, 55841, 311, 499, 574, 220, 1041, 87, 810, 1972, 8430, 13, 4427, 1051, 27207, 11, 1063, 1051, 19738, 11, 1063, 1051, 9049, 12031, 382, 791, 3185, 5885, 11, 649, 7170, 387, 30931, 719, 264, 2763, 315, 603, 1440, 7752, 1093, 3320, 1791, 648, 889, 527, 15320, 1772, 1711, 11, 7752, 1093, 25537, 889, 527, 1120, 3169, 315, 37401, 320, 438, 7170, 2216, 539, 37401, 520, 682, 570, 220, 16062, 2194, 574, 42642, 323, 89614, 66153, 382, 45, 24551, 374, 832, 315, 279, 51621, 5885, 3596, 1903, 369, 3953, 11, 32980, 323, 34297, 527, 2294, 2288, 449, 2216, 7155, 5885, 382, 791, 7757, 304, 430, 1847, 11, 279, 3185, 6392, 1093, 21234, 323, 1455, 4934, 323, 2343, 4641, 13280, 13, 1102, 574, 2294, 13, 358, 1781, 650, 374, 264, 12737, 315, 1148, 17244, 574, 13, 358, 1781, 432, 7842, 323, 432, 7842, 17, 527, 279, 837, 42271, 315, 1148, 59845, 19, 574, 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 ]
[ 128000, 791, 1648, 279, 10495, 55841, 311, 499, 574, 220, 1041, 87, 810, 1972, 8430, 13, 4427, 1051, 27207, 11, 1063, 1051, 19738, 11, 1063, 1051, 9049, 12031, 382, 791, 3185, 5885, 11, 649, 7170, 387, 30931, 719, 264, 2763, 315, 603, 1440, 7752, 1093, 3320, 1791, 648, 889, 527, 15320, 1772, 1711, 11, 7752, 1093, 25537, 889, 527, 1120, 3169, 315, 37401, 320, 438, 7170, 2216, 539, 37401, 520, 682, 570, 220, 16062, 2194, 574, 42642, 323, 89614, 66153, 382, 45, 24551, 374, 832, 315, 279, 51621, 5885, 3596, 1903, 369, 3953, 11, 32980, 323, 34297, 527, 2294, 2288, 449, 2216, 7155, 5885, 382, 791, 7757, 304, 430, 1847, 11, 279, 3185, 6392, 1093, 21234, 323, 1455, 4934, 323, 2343, 4641, 13280, 13, 1102, 574, 2294, 13, 358, 1781, 650, 374, 264, 12737, 315, 1148, 17244, 574, 13, 358, 1781, 432, 7842, 323, 432, 7842, 17, 527, 279, 837, 42271, 315, 1148, 59845, 19, 574, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 2, 20268, 3991, 35200, 25, 837, 271, 4408, 30386, 6490, 5749, 1270, 4408, 30386, 6490, 6648, 10867, 3961, 4450, 8817, 30223, 1489, 198, 220, 4793, 48283, 198, 262, 538, 5649, 198, 415, 538, 1883, 366, 8817, 30223, 1489, 487, 4153, 198, 286, 711, 9656, 12349, 340, 692, 571, 2945, 284, 2671, 198, 286, 842, 271, 286, 711, 9203, 4999, 692, 5110, 284, 8817, 30223, 1489, 487, 6214, 487, 2213, 4721, 198, 692, 6376, 284, 10137, 9911, 1021, 310, 330, 23956, 11524, 53520, 301, 30054, 493, 15680, 38907, 1053, 499, 1093, 311, 4600, 36818, 310, 2561, 8917, 198, 692, 5235, 692, 1510, 284, 5110, 16512, 76740, 340, 692, 502, 3220, 284, 3708, 76740, 11, 1510, 696, 692, 422, 502, 3220, 976, 5110, 16512, 76740, 340, 310, 5110, 995, 76740, 11, 502, 3220, 340, 310, 10137, 58039, 1319, 561, 301, 30054, 493, 15762, 6177, 0, 7132, 692, 775, 198, 310, 10137, 58039, 493, 24714, 5614, 21537, 692, 842, 271, 692, 9203, 422, 10137, 2441, 288, 87956, 19999, 16039, 30, 1329, 286, 842, 271, 286, 879, 271, 286, 711, 2561, 8917, 198, 692, 2330, 310, 364, 10701, 59874, 756, 692, 5243, 286, 842, 271, 286, 711, 5419, 59874, 8937, 340, 692, 1984, 4125, 310, 364, 5618, 3810, 279, 364, 489, 3347, 301, 30054, 493, 5094, 14236, 873, 489, 364, 315, 5419, 7224, 13, 5307, 198, 310, 364, 2028, 374, 1511, 311, 11294, 50549, 11668, 304, 13122, 13, 320, 1110, 1764, 73792, 40667, 692, 10137, 68805, 7483, 11, 1670, 25, 1510, 5, 13, 6115, 14067, 364, 595, 656, 765, 80, 7511, 310, 2874, 24973, 1492, 7, 1379, 8, 314, 1988, 5402, 10122, 27362, 82, 70008, 457, 692, 842, 10838, 198, 286, 842, 198, 415, 842, 198, 262, 842, 198, 220, 842, 198, 408, 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 ]
[ 128000, 2, 20268, 3991, 35200, 25, 837, 271, 4408, 30386, 6490, 5749, 1270, 4408, 30386, 6490, 6648, 10867, 3961, 4450, 8817, 30223, 1489, 198, 220, 4793, 48283, 198, 262, 538, 5649, 198, 415, 538, 1883, 366, 8817, 30223, 1489, 487, 4153, 198, 286, 711, 9656, 12349, 340, 692, 571, 2945, 284, 2671, 198, 286, 842, 271, 286, 711, 9203, 4999, 692, 5110, 284, 8817, 30223, 1489, 487, 6214, 487, 2213, 4721, 198, 692, 6376, 284, 10137, 9911, 1021, 310, 330, 23956, 11524, 53520, 301, 30054, 493, 15680, 38907, 1053, 499, 1093, 311, 4600, 36818, 310, 2561, 8917, 198, 692, 5235, 692, 1510, 284, 5110, 16512, 76740, 340, 692, 502, 3220, 284, 3708, 76740, 11, 1510, 696, 692, 422, 502, 3220, 976, 5110, 16512, 76740, 340, 310, 5110, 995, 76740, 11, 502, 3220, 340, 310, 10137, 58039, 1319, 561, 301, 30054, 493, 15762, 6177, 0, 7132, 692, 775, 198, 310, 10137, 58039, 493, 24714, 5614, 21537, 692, 842, 271, 692, 9203, 422, 10137, 2441, 288, 87956, 19999, 16039, 30, 1329, 286, 842, 271, 286, 879, 271, 286, 711, 2561, 8917, 198, 692, 2330, 310, 364, 10701, 59874, 756, 692, 5243, 286, 842, 271, 286, 711, 5419, 59874, 8937, 340, 692, 1984, 4125, 310, 364, 5618, 3810, 279, 364, 489, 3347, 301, 30054, 493, 5094, 14236, 873, 489, 364, 315, 5419, 7224, 13, 5307, 198, 310, 364, 2028, 374, 1511, 311, 11294, 50549, 11668, 304, 13122, 13, 320, 1110, 1764, 73792, 40667, 692, 10137, 68805, 7483, 11, 1670, 25, 1510, 5, 13, 6115, 14067, 364, 595, 656, 765, 80, 7511, 310, 2874, 24973, 1492, 7, 1379, 8, 314, 1988, 5402, 10122, 27362, 82, 70008, 457, 692, 842, 10838, 198, 286, 842, 198, 415, 842, 198, 262, 842, 198, 220, 842, 198, 408, 198, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 5159, 1193, 3575, 449, 279, 1648, 499, 1781, 11, 374, 856, 4538, 574, 78913, 369, 47358, 89913, 11, 555, 279, 1890, 1912, 315, 6980, 11, 1405, 279, 12717, 1047, 1461, 11689, 279, 1317, 1648, 311, 538, 323, 1694, 3389, 311, 45974, 67859, 29039, 311, 5766, 279, 6980, 11, 1694, 15203, 311, 538, 555, 264, 14321, 8891, 320, 276, 6822, 279, 2978, 22163, 1120, 311, 4321, 279, 52473, 8, 323, 279, 6980, 93350, 99550, 1507, 89994, 11, 449, 279, 14321, 8891, 11509, 1314, 1070, 13, 2100, 422, 682, 13639, 3463, 279, 1648, 499, 1550, 11, 1243, 7170, 25226, 6980, 636, 13194, 323, 430, 11384, 264, 2763, 810, 4819, 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 ]
[ 128000, 5159, 1193, 3575, 449, 279, 1648, 499, 1781, 11, 374, 856, 4538, 574, 78913, 369, 47358, 89913, 11, 555, 279, 1890, 1912, 315, 6980, 11, 1405, 279, 12717, 1047, 1461, 11689, 279, 1317, 1648, 311, 538, 323, 1694, 3389, 311, 45974, 67859, 29039, 311, 5766, 279, 6980, 11, 1694, 15203, 311, 538, 555, 264, 14321, 8891, 320, 276, 6822, 279, 2978, 22163, 1120, 311, 4321, 279, 52473, 8, 323, 279, 6980, 93350, 99550, 1507, 89994, 11, 449, 279, 14321, 8891, 11509, 1314, 1070, 13, 2100, 422, 682, 13639, 3463, 279, 1648, 499, 1550, 11, 1243, 7170, 25226, 6980, 636, 13194, 323, 430, 11384, 264, 2763, 810, 4819, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109 ]
110
[ 128000, 1687, 3077, 6051, 3719, 44898, 449, 19385, 393, 3102, 288, 13, 2435, 2351, 1903, 505, 220, 1041, 4, 47658, 3090, 27474, 323, 6319, 439, 6136, 388, 11, 719, 584, 1005, 1521, 13354, 6920, 5700, 369, 99546, 17614, 323, 57823, 11, 26984, 1206, 2877, 826, 1418, 5710, 11666, 11, 323, 8965, 369, 15691, 2574, 2212, 279, 13863, 627, 2170, 10825, 11, 814, 527, 16757, 6136, 388, 13, 11205, 2955, 37167, 71920, 3789, 6650, 2345, 38265, 527, 32098, 505, 30570, 63198, 279, 5593, 11, 439, 814, 656, 304, 12466, 17223, 9093, 39345, 11012, 13, 6690, 323, 37493, 1522, 26662, 1555, 279, 13354, 11, 323, 279, 20282, 527, 79379, 2391, 279, 9439, 315, 12688, 323, 279, 8798, 315, 7474, 13, 24118, 369, 7982, 53588, 72929, 11, 35267, 11, 4205, 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 ]
[ 128000, 1687, 3077, 6051, 3719, 44898, 449, 19385, 393, 3102, 288, 13, 2435, 2351, 1903, 505, 220, 1041, 4, 47658, 3090, 27474, 323, 6319, 439, 6136, 388, 11, 719, 584, 1005, 1521, 13354, 6920, 5700, 369, 99546, 17614, 323, 57823, 11, 26984, 1206, 2877, 826, 1418, 5710, 11666, 11, 323, 8965, 369, 15691, 2574, 2212, 279, 13863, 627, 2170, 10825, 11, 814, 527, 16757, 6136, 388, 13, 11205, 2955, 37167, 71920, 3789, 6650, 2345, 38265, 527, 32098, 505, 30570, 63198, 279, 5593, 11, 439, 814, 656, 304, 12466, 17223, 9093, 39345, 11012, 13, 6690, 323, 37493, 1522, 26662, 1555, 279, 13354, 11, 323, 279, 20282, 527, 79379, 2391, 279, 9439, 315, 12688, 323, 279, 8798, 315, 7474, 13, 24118, 369, 7982, 53588, 72929, 11, 35267, 11, 4205, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 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, 89209, 14884, 706, 10434, 810, 1109, 220, 17, 11, 5067, 6978, 505, 220, 1399, 5961, 0, 1226, 527, 26259, 430, 1057, 25887, 374, 7982, 323, 584, 10788, 502, 6978, 1475, 1938, 627, 1271, 11322, 6020, 41329, 11, 98263, 14884, 753, 5915, 374, 13788, 264, 8335, 315, 53142, 439, 1664, 439, 82707, 6978, 627, 8140, 53142, 6978, 3493, 459, 6776, 369, 82707, 6978, 311, 5371, 4460, 2890, 2512, 520, 264, 17832, 2853, 627, 13622, 315, 1057, 6978, 527, 82707, 13, 98263, 14884, 374, 6319, 311, 8854, 220, 2031, 4, 315, 1202, 6978, 439, 2539, 71188, 477, 53142, 6978, 13, 20636, 264, 1695, 6651, 315, 12798, 6978, 20682, 603, 311, 3493, 3428, 41238, 477, 912, 41238, 2890, 2512, 311, 1884, 304, 1205, 627, 2746, 499, 617, 2890, 8276, 11, 499, 649, 387, 264, 50401, 961, 315, 3339, 6156, 2512, 2561, 311, 682, 304, 1205, 627, 10149, 459, 53142, 8893, 1935, 3201, 459, 6776, 369, 459, 82707, 8893, 311, 5371, 2512, 30, 2876, 520, 682, 26, 74540, 1057, 1396, 315, 6978, 449, 8276, 20682, 603, 311, 8854, 279, 82707, 627, 11631, 279, 11612, 76006, 922, 1268, 499, 649, 1520, 555, 10671, 264, 8893, 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 ]
[ 128000, 89209, 14884, 706, 10434, 810, 1109, 220, 17, 11, 5067, 6978, 505, 220, 1399, 5961, 0, 1226, 527, 26259, 430, 1057, 25887, 374, 7982, 323, 584, 10788, 502, 6978, 1475, 1938, 627, 1271, 11322, 6020, 41329, 11, 98263, 14884, 753, 5915, 374, 13788, 264, 8335, 315, 53142, 439, 1664, 439, 82707, 6978, 627, 8140, 53142, 6978, 3493, 459, 6776, 369, 82707, 6978, 311, 5371, 4460, 2890, 2512, 520, 264, 17832, 2853, 627, 13622, 315, 1057, 6978, 527, 82707, 13, 98263, 14884, 374, 6319, 311, 8854, 220, 2031, 4, 315, 1202, 6978, 439, 2539, 71188, 477, 53142, 6978, 13, 20636, 264, 1695, 6651, 315, 12798, 6978, 20682, 603, 311, 3493, 3428, 41238, 477, 912, 41238, 2890, 2512, 311, 1884, 304, 1205, 627, 2746, 499, 617, 2890, 8276, 11, 499, 649, 387, 264, 50401, 961, 315, 3339, 6156, 2512, 2561, 311, 682, 304, 1205, 627, 10149, 459, 53142, 8893, 1935, 3201, 459, 6776, 369, 459, 82707, 8893, 311, 5371, 2512, 30, 2876, 520, 682, 26, 74540, 1057, 1396, 315, 6978, 449, 8276, 20682, 603, 311, 8854, 279, 82707, 627, 11631, 279, 11612, 76006, 922, 1268, 499, 649, 1520, 555, 10671, 264, 8893, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 40, 1053, 1093, 311, 8737, 7397, 323, 9477, 7833, 505, 856, 21438, 311, 856, 6500, 13, 358, 1511, 311, 387, 3025, 311, 656, 433, 11, 477, 520, 3325, 8737, 311, 856, 2613, 11, 719, 358, 4265, 1093, 311, 8737, 505, 279, 23185, 34574, 4992, 311, 856, 6500, 13, 2650, 656, 358, 656, 430, 5380, 7927, 11470, 1550, 539, 1520, 13, 578, 2723, 499, 3288, 1053, 539, 4232, 13, 358, 649, 1193, 8737, 555, 2133, 311, 856, 6812, 323, 656, 279, 1920, 505, 1070, 13, 1952, 856, 2362, 8410, 25365, 11, 358, 1436, 8737, 1314, 505, 856, 23185, 311, 856, 6812, 13, 3234, 499, 617, 904, 1023, 10631, 311, 1456, 5380, 6854, 499, 4232, 323, 4685, 279, 40841, 15109, 23185, 3241, 505, 12478, 369, 701, 10565, 1887, 25, 2485, 1129, 24249, 51734, 916, 4951, 65, 21430, 87747, 69339, 8095, 44034, 15216, 7682, 79, 82227, 15769, 10039, 12, 13135, 15, 23148, 3502, 19101, 43245, 261, 12, 9522, 7131, 499, 4299, 389, 279, 330, 11631, 1457, 44969, 1102, 374, 3318, 994, 584, 6818, 389, 17669, 7074, 627, 6153, 7946, 4685, 279, 12478, 40841, 3241, 11, 7431, 32208, 311, 6500, 627, 4438, 656, 358, 8737, 9477, 7833, 505, 856, 21438, 311, 856, 6500, 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 ]
[ 128000, 40, 1053, 1093, 311, 8737, 7397, 323, 9477, 7833, 505, 856, 21438, 311, 856, 6500, 13, 358, 1511, 311, 387, 3025, 311, 656, 433, 11, 477, 520, 3325, 8737, 311, 856, 2613, 11, 719, 358, 4265, 1093, 311, 8737, 505, 279, 23185, 34574, 4992, 311, 856, 6500, 13, 2650, 656, 358, 656, 430, 5380, 7927, 11470, 1550, 539, 1520, 13, 578, 2723, 499, 3288, 1053, 539, 4232, 13, 358, 649, 1193, 8737, 555, 2133, 311, 856, 6812, 323, 656, 279, 1920, 505, 1070, 13, 1952, 856, 2362, 8410, 25365, 11, 358, 1436, 8737, 1314, 505, 856, 23185, 311, 856, 6812, 13, 3234, 499, 617, 904, 1023, 10631, 311, 1456, 5380, 6854, 499, 4232, 323, 4685, 279, 40841, 15109, 23185, 3241, 505, 12478, 369, 701, 10565, 1887, 25, 2485, 1129, 24249, 51734, 916, 4951, 65, 21430, 87747, 69339, 8095, 44034, 15216, 7682, 79, 82227, 15769, 10039, 12, 13135, 15, 23148, 3502, 19101, 43245, 261, 12, 9522, 7131, 499, 4299, 389, 279, 330, 11631, 1457, 44969, 1102, 374, 3318, 994, 584, 6818, 389, 17669, 7074, 627, 6153, 7946, 4685, 279, 12478, 40841, 3241, 11, 7431, 32208, 311, 6500, 627, 4438, 656, 358, 8737, 9477, 7833, 505, 856, 21438, 311, 856, 6500, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 11303, 287, 11, 6996, 315, 10954, 76948, 323, 50160, 10043, 4315, 1455, 21420, 10405, 627, 67403, 3370, 80795, 10289, 17551, 810, 1109, 220, 24, 11, 931, 10405, 1566, 2046, 2391, 7008, 9728, 19220, 10563, 320, 11356, 220, 1114, 12, 1419, 4390, 16397, 279, 4901, 11, 9808, 18908, 264, 3831, 9546, 389, 19795, 11, 323, 16846, 311, 220, 26970, 48453, 627, 20215, 315, 279, 37237, 1051, 19094, 11, 323, 9808, 2019, 1455, 1051, 5471, 481, 627, 2170, 1664, 11, 220, 23, 11, 11139, 10405, 1051, 17551, 369, 58675, 11, 323, 220, 12463, 1274, 1051, 77490, 369, 50160, 10043, 627, 644, 5369, 11, 220, 20775, 1274, 1051, 11684, 369, 539, 12512, 264, 10954, 76948, 627, 791, 2800, 315, 279, 10405, 1051, 9057, 555, 1023, 5696, 6299, 11, 2737, 84834, 323, 49804, 10043, 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 ]
[ 128000, 11303, 287, 11, 6996, 315, 10954, 76948, 323, 50160, 10043, 4315, 1455, 21420, 10405, 627, 67403, 3370, 80795, 10289, 17551, 810, 1109, 220, 24, 11, 931, 10405, 1566, 2046, 2391, 7008, 9728, 19220, 10563, 320, 11356, 220, 1114, 12, 1419, 4390, 16397, 279, 4901, 11, 9808, 18908, 264, 3831, 9546, 389, 19795, 11, 323, 16846, 311, 220, 26970, 48453, 627, 20215, 315, 279, 37237, 1051, 19094, 11, 323, 9808, 2019, 1455, 1051, 5471, 481, 627, 2170, 1664, 11, 220, 23, 11, 11139, 10405, 1051, 17551, 369, 58675, 11, 323, 220, 12463, 1274, 1051, 77490, 369, 50160, 10043, 627, 644, 5369, 11, 220, 20775, 1274, 1051, 11684, 369, 539, 12512, 264, 10954, 76948, 627, 791, 2800, 315, 279, 10405, 1051, 9057, 555, 1023, 5696, 6299, 11, 2737, 84834, 323, 49804, 10043, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132 ]
133
[ 128000, 791, 2547, 315, 6677, 13282, 304, 420, 1934, 374, 6319, 311, 23606, 279, 40135, 17863, 13581, 596, 4476, 17005, 14285, 315, 33025, 320, 17268, 8428, 4012, 8, 555, 91784, 1113, 279, 1401, 7512, 323, 19476, 430, 31435, 279, 6677, 5789, 323, 4634, 6072, 315, 264, 17033, 53421, 1920, 16048, 1749, 11, 279, 19758, 4476, 8773, 320, 47, 4695, 570, 1666, 25375, 315, 279, 69914, 38152, 9731, 311, 3139, 11, 433, 9221, 16996, 311, 2246, 279, 16188, 6677, 323, 7512, 430, 743, 69914, 43195, 10980, 505, 1023, 3241, 25175, 13, 578, 69914, 426, 4012, 17482, 420, 7580, 323, 810, 13, 1102, 8779, 3927, 43195, 311, 8720, 323, 7417, 872, 1866, 7512, 26, 5825, 23234, 449, 459, 16945, 26954, 369, 47614, 279, 4443, 1920, 7512, 323, 17357, 315, 872, 25175, 323, 2027, 4500, 7411, 26, 323, 28292, 14584, 14673, 430, 1390, 311, 33435, 69914, 1139, 872, 3241, 323, 1023, 15009, 14307, 477, 2917, 46582, 13, 578, 69914, 426, 4012, 1101, 73633, 279, 4500, 315, 69914, 28706, 7620, 430, 527, 3196, 389, 264, 1664, 64868, 11, 5410, 743, 315, 6677, 323, 7512, 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 ]
[ 128000, 791, 2547, 315, 6677, 13282, 304, 420, 1934, 374, 6319, 311, 23606, 279, 40135, 17863, 13581, 596, 4476, 17005, 14285, 315, 33025, 320, 17268, 8428, 4012, 8, 555, 91784, 1113, 279, 1401, 7512, 323, 19476, 430, 31435, 279, 6677, 5789, 323, 4634, 6072, 315, 264, 17033, 53421, 1920, 16048, 1749, 11, 279, 19758, 4476, 8773, 320, 47, 4695, 570, 1666, 25375, 315, 279, 69914, 38152, 9731, 311, 3139, 11, 433, 9221, 16996, 311, 2246, 279, 16188, 6677, 323, 7512, 430, 743, 69914, 43195, 10980, 505, 1023, 3241, 25175, 13, 578, 69914, 426, 4012, 17482, 420, 7580, 323, 810, 13, 1102, 8779, 3927, 43195, 311, 8720, 323, 7417, 872, 1866, 7512, 26, 5825, 23234, 449, 459, 16945, 26954, 369, 47614, 279, 4443, 1920, 7512, 323, 17357, 315, 872, 25175, 323, 2027, 4500, 7411, 26, 323, 28292, 14584, 14673, 430, 1390, 311, 33435, 69914, 1139, 872, 3241, 323, 1023, 15009, 14307, 477, 2917, 46582, 13, 578, 69914, 426, 4012, 1101, 73633, 279, 4500, 315, 69914, 28706, 7620, 430, 527, 3196, 389, 264, 1664, 64868, 11, 5410, 743, 315, 6677, 323, 7512, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 10153, 33, 452, 13276, 11, 1817, 7076, 10708, 11, 323, 1684, 34730, 1455, 315, 1057, 29085, 2085, 7231, 603, 904, 4443, 2038, 922, 6261, 13, 1789, 10096, 315, 26679, 330, 23306, 14921, 1359, 1057, 3622, 690, 3839, 701, 6933, 2686, 323, 279, 6959, 499, 2680, 13, 1226, 1101, 1253, 6667, 1023, 2536, 29145, 750, 72450, 2038, 994, 499, 4034, 1057, 3997, 1778, 439, 279, 955, 315, 7074, 499, 527, 1701, 320, 68, 1326, 2637, 8191, 30252, 705, 279, 955, 315, 10565, 1887, 499, 527, 1701, 11, 320, 68, 1326, 2637, 5632, 364, 3264, 8, 323, 279, 8106, 836, 315, 701, 8191, 2532, 9287, 320, 68, 1326, 2637, 5270, 8267, 4390, 644, 2015, 311, 10765, 499, 11, 584, 690, 23781, 1005, 330, 45417, 1210, 362, 12829, 374, 264, 3361, 1495, 1052, 430, 264, 3566, 2816, 9711, 389, 701, 2653, 13668, 779, 430, 433, 649, 6227, 2555, 922, 499, 3010, 13, 46402, 11, 264, 12829, 7576, 701, 19882, 994, 1701, 264, 4040, 2816, 13, 1472, 649, 743, 709, 701, 7074, 311, 6179, 499, 994, 8443, 527, 743, 477, 311, 5471, 8443, 505, 1694, 743, 11, 719, 3932, 2011, 7655, 311, 1095, 8443, 387, 6924, 369, 1124, 311, 734, 13, 362, 3566, 2816, 1023, 1109, 279, 832, 430, 743, 279, 12829, 4250, 1373, 627, 644, 2015, 311, 2680, 1057, 330, 26913, 8267, 1, 320, 25370, 8442, 8, 323, 1023, 9966, 5789, 11, 499, 2011, 3493, 4443, 2038, 11, 1778, 439, 2686, 11, 384, 11724, 11, 21186, 323, 49719, 5219, 11, 439, 1664, 439, 38462, 323, 6130, 22654, 13, 1226, 690, 10519, 420, 2038, 11, 439, 1664, 439, 701, 2626, 7640, 323, 14463, 11, 4184, 311, 1057, 13783, 7452, 4868, 323, 65295, 10886, 627, 59810, 50, 198, 3923, 1587, 452, 13276, 452, 13276, 41011, 311, 4430, 26, 323, 3508, 499, 649, 4017, 420, 11821, 627, 26197, 82, 584, 649, 4430, 701, 4443, 2038, 198, 22186, 452, 13276, 7901, 323, 11704, 198, 2520, 1057, 32133, 529, 18254, 2626, 10096, 12, 2038, 922, 701, 6807, 5922, 1918, 198, 1687, 4418, 1431, 12037, 198, 2520, 2536, 71260, 4008, 988, 311, 3157, 311, 499, 198, 36349, 30, 7290, 320, 4728, 8, 220, 15805, 12, 6549, 16, 477, 4034, 198, 3923, 584, 656, 198, 15546, 374, 8405, 420, 5406, 5380, 10153, 33, 11, 8653, 33, 323, 1202, 2748, 11, 5165, 26262, 86805, 8715, 198, 4438, 1587, 452, 13276, 6144, 856, 4443, 2038, 5380, 1271, 6144, 701, 4443, 2038, 369, 45571, 2680, 323, 1005, 11, 584, 1005, 4868, 11193, 430, 26069, 449, 6918, 7016, 13, 617, 12457, 264, 2764, 1510, 16125, 369, 264, 15324, 51310, 22677, 627, 4438, 1587, 452, 13276, 11, 8653, 33, 198, 26926, 321, 3695, 25, 9947, 4008, 988, 2997, 5165, 26262, 86805, 8715, 11, 264, 6020, 15244, 9749, 555, 8151, 323, 452, 13276, 11, 8653, 33, 11, 264, 80637, 1181, 34259, 19523, 6201, 13, 49571, 3956, 323, 3600, 527, 3984, 555, 452, 13276, 11, 8653, 33, 11, 902, 374, 4562, 36418, 1341, 13, 9062, 374, 264, 8821, 27767, 2949, 279, 452, 13276, 17961, 5856, 627, 8284, 6830, 544, 4008, 988, 25, 32886, 539, 5552, 555, 4279, 15637, 477, 2585, 13, 2435, 649, 387, 6020, 323, 2536, 6020, 14673, 627, 42097, 18729, 25, 452, 13276, 1587, 539, 53258, 3157, 198, 10153, 33, 374, 389, 512, 20644, 679, 20, 5165, 86805, 8715, 11, 452, 885, 627, 26913, 287, 323, 6020, 3600, 3984, 555, 5165, 86805, 8715, 11, 452, 885, 13, 12308, 36418, 1341, 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 ]
[ 128000, 10153, 33, 452, 13276, 11, 1817, 7076, 10708, 11, 323, 1684, 34730, 1455, 315, 1057, 29085, 2085, 7231, 603, 904, 4443, 2038, 922, 6261, 13, 1789, 10096, 315, 26679, 330, 23306, 14921, 1359, 1057, 3622, 690, 3839, 701, 6933, 2686, 323, 279, 6959, 499, 2680, 13, 1226, 1101, 1253, 6667, 1023, 2536, 29145, 750, 72450, 2038, 994, 499, 4034, 1057, 3997, 1778, 439, 279, 955, 315, 7074, 499, 527, 1701, 320, 68, 1326, 2637, 8191, 30252, 705, 279, 955, 315, 10565, 1887, 499, 527, 1701, 11, 320, 68, 1326, 2637, 5632, 364, 3264, 8, 323, 279, 8106, 836, 315, 701, 8191, 2532, 9287, 320, 68, 1326, 2637, 5270, 8267, 4390, 644, 2015, 311, 10765, 499, 11, 584, 690, 23781, 1005, 330, 45417, 1210, 362, 12829, 374, 264, 3361, 1495, 1052, 430, 264, 3566, 2816, 9711, 389, 701, 2653, 13668, 779, 430, 433, 649, 6227, 2555, 922, 499, 3010, 13, 46402, 11, 264, 12829, 7576, 701, 19882, 994, 1701, 264, 4040, 2816, 13, 1472, 649, 743, 709, 701, 7074, 311, 6179, 499, 994, 8443, 527, 743, 477, 311, 5471, 8443, 505, 1694, 743, 11, 719, 3932, 2011, 7655, 311, 1095, 8443, 387, 6924, 369, 1124, 311, 734, 13, 362, 3566, 2816, 1023, 1109, 279, 832, 430, 743, 279, 12829, 4250, 1373, 627, 644, 2015, 311, 2680, 1057, 330, 26913, 8267, 1, 320, 25370, 8442, 8, 323, 1023, 9966, 5789, 11, 499, 2011, 3493, 4443, 2038, 11, 1778, 439, 2686, 11, 384, 11724, 11, 21186, 323, 49719, 5219, 11, 439, 1664, 439, 38462, 323, 6130, 22654, 13, 1226, 690, 10519, 420, 2038, 11, 439, 1664, 439, 701, 2626, 7640, 323, 14463, 11, 4184, 311, 1057, 13783, 7452, 4868, 323, 65295, 10886, 627, 59810, 50, 198, 3923, 1587, 452, 13276, 452, 13276, 41011, 311, 4430, 26, 323, 3508, 499, 649, 4017, 420, 11821, 627, 26197, 82, 584, 649, 4430, 701, 4443, 2038, 198, 22186, 452, 13276, 7901, 323, 11704, 198, 2520, 1057, 32133, 529, 18254, 2626, 10096, 12, 2038, 922, 701, 6807, 5922, 1918, 198, 1687, 4418, 1431, 12037, 198, 2520, 2536, 71260, 4008, 988, 311, 3157, 311, 499, 198, 36349, 30, 7290, 320, 4728, 8, 220, 15805, 12, 6549, 16, 477, 4034, 198, 3923, 584, 656, 198, 15546, 374, 8405, 420, 5406, 5380, 10153, 33, 11, 8653, 33, 323, 1202, 2748, 11, 5165, 26262, 86805, 8715, 198, 4438, 1587, 452, 13276, 6144, 856, 4443, 2038, 5380, 1271, 6144, 701, 4443, 2038, 369, 45571, 2680, 323, 1005, 11, 584, 1005, 4868, 11193, 430, 26069, 449, 6918, 7016, 13, 617, 12457, 264, 2764, 1510, 16125, 369, 264, 15324, 51310, 22677, 627, 4438, 1587, 452, 13276, 11, 8653, 33, 198, 26926, 321, 3695, 25, 9947, 4008, 988, 2997, 5165, 26262, 86805, 8715, 11, 264, 6020, 15244, 9749, 555, 8151, 323, 452, 13276, 11, 8653, 33, 11, 264, 80637, 1181, 34259, 19523, 6201, 13, 49571, 3956, 323, 3600, 527, 3984, 555, 452, 13276, 11, 8653, 33, 11, 902, 374, 4562, 36418, 1341, 13, 9062, 374, 264, 8821, 27767, 2949, 279, 452, 13276, 17961, 5856, 627, 8284, 6830, 544, 4008, 988, 25, 32886, 539, 5552, 555, 4279, 15637, 477, 2585, 13, 2435, 649, 387, 6020, 323, 2536, 6020, 14673, 627, 42097, 18729, 25, 452, 13276, 1587, 539, 53258, 3157, 198, 10153, 33, 374, 389, 512, 20644, 679, 20, 5165, 86805, 8715, 11, 452, 885, 627, 26913, 287, 323, 6020, 3600, 3984, 555, 5165, 86805, 8715, 11, 452, 885, 13, 12308, 36418, 1341, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 9023, 13, 90134, 67251, 11, 1317, 892, 4872, 315, 279, 12093, 276, 4845, 21317, 62395, 12735, 323, 4029, 28941, 11, 574, 39377, 555, 279, 30558, 16965, 285, 10349, 315, 12093, 276, 4845, 13985, 449, 459, 99119, 36048, 315, 279, 12093, 276, 4845, 7834, 47088, 8384, 19149, 11, 264, 37419, 2068, 279, 30558, 16965, 285, 10349, 33230, 3892, 1667, 4227, 13, 362, 1879, 3221, 279, 8384, 19149, 7834, 20705, 5452, 690, 15641, 430, 36048, 369, 279, 1828, 1060, 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 ]
[ 128000, 9023, 13, 90134, 67251, 11, 1317, 892, 4872, 315, 279, 12093, 276, 4845, 21317, 62395, 12735, 323, 4029, 28941, 11, 574, 39377, 555, 279, 30558, 16965, 285, 10349, 315, 12093, 276, 4845, 13985, 449, 459, 99119, 36048, 315, 279, 12093, 276, 4845, 7834, 47088, 8384, 19149, 11, 264, 37419, 2068, 279, 30558, 16965, 285, 10349, 33230, 3892, 1667, 4227, 13, 362, 1879, 3221, 279, 8384, 19149, 7834, 20705, 5452, 690, 15641, 430, 36048, 369, 279, 1828, 1060, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79 ]
80
[ 128000, 72891, 59640, 220, 19, 1587, 617, 2753, 2262, 1109, 279, 3766, 59640, 17146, 1600, 3953, 304, 3878, 315, 2271, 287, 13, 666, 1900, 264, 2144, 13, 23371, 422, 499, 4774, 17516, 4857, 477, 1120, 33850, 704, 83485, 1243, 41136, 264, 2204, 3446, 13, 4702, 1427, 520, 279, 5219, 1473, 2485, 1129, 12534, 1326, 15589, 519, 916, 31846, 6951, 30681, 12598, 543, 412, 12, 20368, 82, 12, 11461, 67240, 4924, 271, 2485, 1129, 12534, 1326, 15589, 519, 916, 31846, 6951, 30681, 11628, 8050, 6417, 12, 20368, 82, 12, 11461, 4924, 271, 40914, 5219, 44204, 3152, 4395, 13, 1472, 2643, 18046, 59640, 220, 19, 706, 5115, 6485, 11, 1317, 11, 50277, 1131, 16299, 433, 2216, 3250, 956, 13, 1628, 10035, 358, 1440, 1070, 527, 653, 47462, 50277, 719, 814, 527, 406, 264, 28779, 369, 6300, 86567, 2271, 5238, 902, 1288, 387, 3685, 315, 264, 59640, 1847, 382, 2181, 40199, 2288, 1606, 358, 1093, 59640, 220, 19, 369, 1202, 12896, 323, 16975, 433, 1120, 17503, 2875, 304, 1148, 1288, 387, 279, 13339, 315, 459, 34602, 26, 4477, 323, 2271, 2955, 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 ]
[ 128000, 72891, 59640, 220, 19, 1587, 617, 2753, 2262, 1109, 279, 3766, 59640, 17146, 1600, 3953, 304, 3878, 315, 2271, 287, 13, 666, 1900, 264, 2144, 13, 23371, 422, 499, 4774, 17516, 4857, 477, 1120, 33850, 704, 83485, 1243, 41136, 264, 2204, 3446, 13, 4702, 1427, 520, 279, 5219, 1473, 2485, 1129, 12534, 1326, 15589, 519, 916, 31846, 6951, 30681, 12598, 543, 412, 12, 20368, 82, 12, 11461, 67240, 4924, 271, 2485, 1129, 12534, 1326, 15589, 519, 916, 31846, 6951, 30681, 11628, 8050, 6417, 12, 20368, 82, 12, 11461, 4924, 271, 40914, 5219, 44204, 3152, 4395, 13, 1472, 2643, 18046, 59640, 220, 19, 706, 5115, 6485, 11, 1317, 11, 50277, 1131, 16299, 433, 2216, 3250, 956, 13, 1628, 10035, 358, 1440, 1070, 527, 653, 47462, 50277, 719, 814, 527, 406, 264, 28779, 369, 6300, 86567, 2271, 5238, 902, 1288, 387, 3685, 315, 264, 59640, 1847, 382, 2181, 40199, 2288, 1606, 358, 1093, 59640, 220, 19, 369, 1202, 12896, 323, 16975, 433, 1120, 17503, 2875, 304, 1148, 1288, 387, 279, 13339, 315, 459, 34602, 26, 4477, 323, 2271, 2955, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 4438, 374, 330, 22804, 220, 21, 35009, 315, 11215, 220, 868, 10, 23116, 10846, 555, 17457, 278, 10482, 277, 2223, 8266, 323, 27638, 5856, 7008, 11, 220, 2550, 21, 1, 1071, 304, 8753, 5380, 26926, 17724, 1280, 72, 15564, 1880, 3930, 30281, 7008, 11, 2860, 56276, 71269, 33888, 3122, 14014, 1765, 3625, 46681, 3930, 1421, 1137, 479, 3930, 7008, 409, 220, 2550, 21, 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 ]
[ 128000, 4438, 374, 330, 22804, 220, 21, 35009, 315, 11215, 220, 868, 10, 23116, 10846, 555, 17457, 278, 10482, 277, 2223, 8266, 323, 27638, 5856, 7008, 11, 220, 2550, 21, 1, 1071, 304, 8753, 5380, 26926, 17724, 1280, 72, 15564, 1880, 3930, 30281, 7008, 11, 2860, 56276, 71269, 33888, 3122, 14014, 1765, 3625, 46681, 3930, 1421, 1137, 479, 3930, 7008, 409, 220, 2550, 21, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65 ]
66
[ 128000, 49137, 753, 5426, 9764, 706, 2744, 1027, 5107, 311, 7124, 13, 1102, 374, 6485, 323, 3596, 49961, 11, 279, 8915, 22498, 315, 56937, 323, 1057, 4676, 11, 3925, 11, 54242, 11, 7829, 323, 36721, 627, 2685, 5859, 1057, 5426, 9764, 2643, 387, 264, 5199, 8815, 11, 719, 779, 374, 28672, 11, 47995, 323, 66744, 279, 828, 430, 7739, 433, 13, 5165, 9764, 828, 374, 279, 7528, 6029, 315, 889, 584, 527, 11, 1268, 584, 1518, 13520, 11, 323, 1268, 584, 29243, 311, 279, 2800, 315, 279, 1917, 13, 1102, 5764, 1579, 19625, 4443, 11, 3674, 11, 5897, 11, 26623, 323, 13970, 828, 11, 1778, 439, 7576, 315, 66332, 11, 16779, 323, 47451, 26, 15443, 7576, 26, 279, 11429, 315, 1057, 19359, 323, 1370, 747, 24469, 26, 323, 279, 1690, 7493, 3309, 389, 1057, 15670, 323, 3805, 58365, 1555, 3674, 323, 14683, 3772, 627, 18433, 315, 1202, 12939, 311, 603, 439, 264, 7140, 11, 584, 2011, 2567, 433, 6220, 323, 15987, 13, 17671, 750, 11, 7528, 8082, 374, 1193, 2133, 311, 5376, 26, 1455, 13673, 17047, 527, 11411, 311, 1694, 7373, 7528, 2949, 279, 1828, 2478, 1667, 13, 1666, 16973, 347, 5493, 315, 279, 20155, 315, 5426, 9764, 828, 11, 3109, 13607, 617, 264, 12014, 311, 6144, 433, 13, 1628, 449, 279, 9886, 323, 38231, 315, 17162, 5684, 35483, 11, 32888, 323, 47995, 420, 2038, 374, 10671, 810, 17395, 627, 25523, 750, 34973, 374, 279, 38550, 311, 2680, 11, 3619, 323, 49672, 60541, 1990, 1148, 753, 15525, 323, 1148, 4536, 1431, 13, 763, 220, 679, 21, 11, 3778, 44068, 85548, 46332, 8674, 18784, 430, 584, 527, 1457, 779, 3117, 8469, 315, 13520, 304, 279, 46835, 315, 828, 430, 584, 1253, 2646, 2339, 709, 477, 9615, 3619, 1202, 26431, 13, 3861, 1648, 311, 2686, 279, 2038, 43284, 1436, 387, 1555, 279, 1005, 315, 21075, 11478, 323, 2466, 14271, 28975, 11, 3582, 584, 1541, 1431, 3686, 1440, 1268, 6992, 430, 2643, 387, 627, 4071, 1268, 6220, 374, 1057, 828, 30, 2052, 3109, 13607, 527, 2631, 311, 26069, 449, 279, 62542, 10396, 743, 555, 872, 20081, 56043, 11, 719, 499, 1193, 617, 311, 1373, 3293, 25261, 6821, 555, 279, 13673, 5165, 48746, 8410, 323, 1202, 1614, 86106, 311, 1518, 430, 1884, 10886, 7784, 1431, 1694, 2322, 13, 6104, 75620, 5357, 389, 4040, 13607, 11, 814, 3207, 264, 16694, 1139, 279, 8903, 315, 1268, 13607, 527, 3117, 287, 810, 8965, 627, 791, 2147, 19268, 753, 220, 679, 22, 21516, 11849, 321, 1873, 3477, 315, 2380, 3544, 11, 1664, 50701, 13607, 22416, 6011, 315, 11344, 8471, 11, 279, 13673, 15545, 367, 8410, 323, 279, 6011, 315, 40782, 323, 14319, 19721, 320, 3409, 279, 6011, 315, 5492, 23298, 68850, 16514, 44087, 1113, 13, 8442, 73703, 574, 49798, 449, 279, 1948, 3116, 21516, 3502, 376, 7713, 66860, 15174, 304, 279, 3109, 753, 2038, 4868, 11630, 11, 323, 433, 574, 1101, 279, 1193, 9476, 430, 15337, 439, 34167, 21516, 11849, 321, 1188, 627, 791, 3477, 1766, 430, 279, 13607, 529, 6996, 315, 8907, 9711, 872, 828, 520, 5326, 13, 578, 13673, 83599, 94466, 706, 13240, 430, 2212, 220, 5313, 4, 315, 21516, 3502, 376, 36807, 1053, 387, 36090, 660, 422, 279, 1948, 3116, 15174, 1051, 11798, 627, 22818, 279, 2134, 315, 2038, 55885, 323, 62542, 32885, 323, 49125, 34000, 52299, 555, 279, 13673, 83599, 94466, 11, 279, 18919, 59082, 753, 6011, 323, 279, 6011, 315, 279, 12801, 9675, 323, 34046, 11, 433, 753, 40876, 311, 1518, 279, 92922, 4028, 13607, 430, 3412, 9200, 828, 23343, 311, 8494, 753, 5426, 9764, 323, 4868, 627, 3112, 1243, 1070, 527, 279, 17139, 2038, 323, 828, 16973, 347, 5493, 2345, 42240, 323, 1614, 39104, 11, 7576, 29533, 11, 20797, 323, 1023, 13042, 14673, 50004, 527, 20558, 311, 2567, 1524, 872, 6913, 3600, 264, 3733, 11, 1095, 7636, 6144, 323, 21813, 1057, 7528, 28948, 323, 5426, 9764, 828, 627, 791, 1510, 44250, 3477, 315, 5426, 14673, 304, 69890, 374, 6029, 315, 430, 13, 578, 13093, 706, 4036, 12387, 37935, 323, 84610, 505, 279, 14971, 315, 13042, 14673, 1654, 28609, 279, 8738, 11006, 15455, 13, 10541, 264, 23810, 315, 13607, 617, 6051, 4036, 832, 12744, 11006, 369, 7528, 28271, 11, 279, 5165, 38329, 315, 8494, 11, 902, 10187, 1063, 315, 279, 3109, 753, 1455, 15525, 323, 16614, 2038, 11, 706, 97725, 16495, 11006, 311, 1977, 264, 7528, 18624, 4330, 3115, 927, 279, 3347, 220, 605, 1667, 627, 32, 2294, 3568, 315, 5149, 323, 5357, 374, 9277, 389, 22973, 9200, 14054, 1093, 19795, 11, 17320, 323, 20946, 11, 439, 1664, 439, 21771, 323, 16614, 2038, 11, 719, 279, 1890, 649, 1431, 387, 1071, 315, 1057, 5426, 9764, 828, 11, 477, 315, 279, 5426, 323, 1614, 14673, 430, 6144, 323, 3493, 2680, 311, 1884, 7528, 12032, 627, 791, 907, 315, 1057, 7528, 5426, 9764, 2011, 387, 810, 13882, 39764, 555, 17047, 11, 279, 586, 323, 279, 15086, 430, 1893, 433, 11, 323, 433, 2011, 387, 2682, 627, 72447, 430, 828, 6220, 323, 15987, 374, 16595, 539, 1193, 369, 21249, 2785, 8494, 753, 3347, 11, 719, 1101, 369, 12899, 3109, 28330, 11, 39242, 11, 323, 279, 3268, 323, 55001, 82, 315, 682, 56937, 1457, 323, 304, 279, 3938, 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 ]
[ 128000, 49137, 753, 5426, 9764, 706, 2744, 1027, 5107, 311, 7124, 13, 1102, 374, 6485, 323, 3596, 49961, 11, 279, 8915, 22498, 315, 56937, 323, 1057, 4676, 11, 3925, 11, 54242, 11, 7829, 323, 36721, 627, 2685, 5859, 1057, 5426, 9764, 2643, 387, 264, 5199, 8815, 11, 719, 779, 374, 28672, 11, 47995, 323, 66744, 279, 828, 430, 7739, 433, 13, 5165, 9764, 828, 374, 279, 7528, 6029, 315, 889, 584, 527, 11, 1268, 584, 1518, 13520, 11, 323, 1268, 584, 29243, 311, 279, 2800, 315, 279, 1917, 13, 1102, 5764, 1579, 19625, 4443, 11, 3674, 11, 5897, 11, 26623, 323, 13970, 828, 11, 1778, 439, 7576, 315, 66332, 11, 16779, 323, 47451, 26, 15443, 7576, 26, 279, 11429, 315, 1057, 19359, 323, 1370, 747, 24469, 26, 323, 279, 1690, 7493, 3309, 389, 1057, 15670, 323, 3805, 58365, 1555, 3674, 323, 14683, 3772, 627, 18433, 315, 1202, 12939, 311, 603, 439, 264, 7140, 11, 584, 2011, 2567, 433, 6220, 323, 15987, 13, 17671, 750, 11, 7528, 8082, 374, 1193, 2133, 311, 5376, 26, 1455, 13673, 17047, 527, 11411, 311, 1694, 7373, 7528, 2949, 279, 1828, 2478, 1667, 13, 1666, 16973, 347, 5493, 315, 279, 20155, 315, 5426, 9764, 828, 11, 3109, 13607, 617, 264, 12014, 311, 6144, 433, 13, 1628, 449, 279, 9886, 323, 38231, 315, 17162, 5684, 35483, 11, 32888, 323, 47995, 420, 2038, 374, 10671, 810, 17395, 627, 25523, 750, 34973, 374, 279, 38550, 311, 2680, 11, 3619, 323, 49672, 60541, 1990, 1148, 753, 15525, 323, 1148, 4536, 1431, 13, 763, 220, 679, 21, 11, 3778, 44068, 85548, 46332, 8674, 18784, 430, 584, 527, 1457, 779, 3117, 8469, 315, 13520, 304, 279, 46835, 315, 828, 430, 584, 1253, 2646, 2339, 709, 477, 9615, 3619, 1202, 26431, 13, 3861, 1648, 311, 2686, 279, 2038, 43284, 1436, 387, 1555, 279, 1005, 315, 21075, 11478, 323, 2466, 14271, 28975, 11, 3582, 584, 1541, 1431, 3686, 1440, 1268, 6992, 430, 2643, 387, 627, 4071, 1268, 6220, 374, 1057, 828, 30, 2052, 3109, 13607, 527, 2631, 311, 26069, 449, 279, 62542, 10396, 743, 555, 872, 20081, 56043, 11, 719, 499, 1193, 617, 311, 1373, 3293, 25261, 6821, 555, 279, 13673, 5165, 48746, 8410, 323, 1202, 1614, 86106, 311, 1518, 430, 1884, 10886, 7784, 1431, 1694, 2322, 13, 6104, 75620, 5357, 389, 4040, 13607, 11, 814, 3207, 264, 16694, 1139, 279, 8903, 315, 1268, 13607, 527, 3117, 287, 810, 8965, 627, 791, 2147, 19268, 753, 220, 679, 22, 21516, 11849, 321, 1873, 3477, 315, 2380, 3544, 11, 1664, 50701, 13607, 22416, 6011, 315, 11344, 8471, 11, 279, 13673, 15545, 367, 8410, 323, 279, 6011, 315, 40782, 323, 14319, 19721, 320, 3409, 279, 6011, 315, 5492, 23298, 68850, 16514, 44087, 1113, 13, 8442, 73703, 574, 49798, 449, 279, 1948, 3116, 21516, 3502, 376, 7713, 66860, 15174, 304, 279, 3109, 753, 2038, 4868, 11630, 11, 323, 433, 574, 1101, 279, 1193, 9476, 430, 15337, 439, 34167, 21516, 11849, 321, 1188, 627, 791, 3477, 1766, 430, 279, 13607, 529, 6996, 315, 8907, 9711, 872, 828, 520, 5326, 13, 578, 13673, 83599, 94466, 706, 13240, 430, 2212, 220, 5313, 4, 315, 21516, 3502, 376, 36807, 1053, 387, 36090, 660, 422, 279, 1948, 3116, 15174, 1051, 11798, 627, 22818, 279, 2134, 315, 2038, 55885, 323, 62542, 32885, 323, 49125, 34000, 52299, 555, 279, 13673, 83599, 94466, 11, 279, 18919, 59082, 753, 6011, 323, 279, 6011, 315, 279, 12801, 9675, 323, 34046, 11, 433, 753, 40876, 311, 1518, 279, 92922, 4028, 13607, 430, 3412, 9200, 828, 23343, 311, 8494, 753, 5426, 9764, 323, 4868, 627, 3112, 1243, 1070, 527, 279, 17139, 2038, 323, 828, 16973, 347, 5493, 2345, 42240, 323, 1614, 39104, 11, 7576, 29533, 11, 20797, 323, 1023, 13042, 14673, 50004, 527, 20558, 311, 2567, 1524, 872, 6913, 3600, 264, 3733, 11, 1095, 7636, 6144, 323, 21813, 1057, 7528, 28948, 323, 5426, 9764, 828, 627, 791, 1510, 44250, 3477, 315, 5426, 14673, 304, 69890, 374, 6029, 315, 430, 13, 578, 13093, 706, 4036, 12387, 37935, 323, 84610, 505, 279, 14971, 315, 13042, 14673, 1654, 28609, 279, 8738, 11006, 15455, 13, 10541, 264, 23810, 315, 13607, 617, 6051, 4036, 832, 12744, 11006, 369, 7528, 28271, 11, 279, 5165, 38329, 315, 8494, 11, 902, 10187, 1063, 315, 279, 3109, 753, 1455, 15525, 323, 16614, 2038, 11, 706, 97725, 16495, 11006, 311, 1977, 264, 7528, 18624, 4330, 3115, 927, 279, 3347, 220, 605, 1667, 627, 32, 2294, 3568, 315, 5149, 323, 5357, 374, 9277, 389, 22973, 9200, 14054, 1093, 19795, 11, 17320, 323, 20946, 11, 439, 1664, 439, 21771, 323, 16614, 2038, 11, 719, 279, 1890, 649, 1431, 387, 1071, 315, 1057, 5426, 9764, 828, 11, 477, 315, 279, 5426, 323, 1614, 14673, 430, 6144, 323, 3493, 2680, 311, 1884, 7528, 12032, 627, 791, 907, 315, 1057, 7528, 5426, 9764, 2011, 387, 810, 13882, 39764, 555, 17047, 11, 279, 586, 323, 279, 15086, 430, 1893, 433, 11, 323, 433, 2011, 387, 2682, 627, 72447, 430, 828, 6220, 323, 15987, 374, 16595, 539, 1193, 369, 21249, 2785, 8494, 753, 3347, 11, 719, 1101, 369, 12899, 3109, 28330, 11, 39242, 11, 323, 279, 3268, 323, 55001, 82, 315, 682, 56937, 1457, 323, 304, 279, 3938, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 4599, 358, 574, 459, 41534, 358, 574, 18069, 311, 617, 264, 36528, 889, 1047, 6051, 4036, 1077, 2405, 920, 13, 304, 264, 2115, 5552, 311, 856, 12034, 11, 323, 889, 6688, 757, 1695, 11, 709, 4791, 18920, 9650, 389, 279, 1455, 21102, 31839, 323, 7620, 304, 856, 2115, 13, 4800, 430, 358, 1505, 7182, 63779, 856, 1866, 41534, 4236, 11, 358, 617, 1027, 17948, 555, 1120, 1268, 31715, 279, 6671, 369, 279, 14584, 4007, 315, 7904, 19675, 690, 2873, 311, 459, 75683, 13, 5629, 315, 682, 11, 1455, 31839, 304, 4606, 323, 4892, 5270, 889, 990, 389, 7904, 19675, 1550, 539, 7380, 872, 74657, 12628, 505, 46969, 2405, 920, 13, 7620, 13, 24296, 11, 1455, 46969, 85608, 304, 4892, 5270, 323, 4606, 690, 539, 1524, 2980, 459, 32368, 369, 74657, 4967, 6832, 1925, 3495, 2802, 374, 7904, 19675, 13, 358, 1766, 420, 704, 279, 2653, 1648, 1403, 11026, 4227, 994, 358, 4024, 2403, 856, 36528, 753, 9650, 323, 9435, 311, 264, 21102, 19675, 19560, 2068, 13, 358, 3010, 1766, 704, 430, 856, 3851, 1047, 1027, 7214, 743, 16038, 555, 279, 26360, 13093, 1606, 358, 1047, 11224, 304, 856, 4443, 9071, 430, 358, 10825, 311, 23564, 3495, 304, 2225, 29924, 7904, 323, 220, 777, 339, 9478, 7665, 19675, 13, 578, 13093, 9778, 5675, 856, 3851, 323, 2646, 1524, 6688, 757, 279, 27104, 315, 264, 38001, 6661, 627, 43346, 709, 369, 1778, 20026, 1189, 2265, 50183, 315, 19675, 26280, 11, 46877, 7904, 19675, 374, 3629, 15972, 304, 1403, 1023, 7634, 25, 53176, 19241, 26280, 323, 14875, 19241, 26280, 13, 578, 2380, 2204, 4595, 315, 7620, 8541, 311, 617, 2204, 282, 2168, 13, 85608, 315, 14875, 19241, 11, 1101, 7170, 30929, 439, 72051, 19241, 477, 2314, 2508, 11, 3629, 617, 264, 10891, 5848, 5357, 13, 1115, 374, 5423, 279, 1162, 304, 4606, 13, 53176, 19241, 26280, 8541, 311, 3493, 872, 4236, 449, 4967, 304, 19675, 315, 13901, 11, 55394, 44230, 11, 323, 54641, 11, 7526, 430, 649, 3629, 387, 5505, 304, 31047, 22755, 323, 69122, 505, 4987, 13936, 13, 17830, 11, 1070, 527, 264, 2478, 46969, 85608, 430, 617, 7946, 32762, 14875, 19675, 1139, 872, 2917, 46582, 11, 323, 1405, 433, 2643, 5616, 387, 3284, 311, 3495, 5468, 637, 6292, 11, 452, 31757, 70, 31757, 81, 73, 8733, 11, 323, 68844, 526, 8510, 3185, 14656, 25034, 13, 763, 279, 11725, 584, 617, 20276, 369, 279, 7904, 46969, 14496, 584, 617, 5343, 682, 2380, 4595, 315, 7620, 13, 763, 19301, 7620, 311, 3881, 311, 11, 4236, 1053, 387, 1664, 26160, 311, 3839, 1523, 18740, 29085, 555, 832, 477, 1403, 315, 279, 31839, 315, 7904, 19675, 304, 1855, 315, 279, 7620, 814, 527, 13126, 13, 1115, 690, 3041, 1124, 264, 5647, 315, 279, 3169, 315, 4967, 814, 1053, 5371, 323, 279, 3169, 315, 4477, 814, 1053, 387, 3685, 311, 8356, 369, 872, 2405, 920, 13, 34749, 811, 304, 1855, 2068, 627, 791, 11725, 20276, 1618, 527, 11951, 369, 2405, 920, 13, 7620, 13, 9636, 28770, 4236, 1288, 387, 8010, 430, 304, 1455, 5157, 814, 690, 387, 3685, 311, 7380, 459, 386, 885, 13, 304, 264, 9959, 2115, 1603, 814, 649, 387, 16584, 311, 264, 2405, 920, 13, 2068, 13, 7648, 26280, 430, 3085, 279, 2405, 920, 13, 1101, 3085, 279, 386, 885, 2637, 449, 1063, 20157, 13, 20783, 19486, 311, 459, 386, 885, 13, 2068, 690, 11383, 387, 3685, 311, 617, 832, 477, 1403, 1667, 315, 4092, 304, 264, 9959, 4221, 320, 50, 41874, 1018, 11, 393, 8115, 11, 73074, 11, 5099, 36434, 63446, 1139, 264, 2405, 920, 13, 2068, 3629, 7612, 279, 13890, 315, 1403, 477, 810, 1667, 315, 4221, 4007, 13, 9636, 28770, 4236, 315, 7904, 19675, 6832, 23978, 656, 539, 3085, 7754, 304, 14875, 15823, 1053, 387, 24219, 311, 23564, 7474, 4007, 18403, 13, 3907, 11006, 374, 539, 2744, 2561, 369, 279, 386, 885, 13, 1789, 279, 2405, 920, 2637, 4869, 11, 4236, 21630, 304, 4892, 5270, 1288, 32262, 389, 2539, 11006, 25, 264, 4686, 39038, 54205, 5636, 264, 12190, 43773, 408, 627, 32052, 527, 11, 18182, 11, 1455, 11920, 449, 3794, 1139, 459, 386, 885, 13, 477, 2405, 920, 13, 2068, 13, 4452, 11, 814, 1288, 1101, 3041, 264, 2294, 3568, 315, 3463, 311, 1268, 1317, 433, 690, 1935, 311, 636, 704, 11, 1268, 1790, 11897, 690, 86659, 361, 2391, 872, 7978, 11, 323, 1148, 3169, 315, 2683, 814, 1288, 1755, 311, 1505, 1306, 814, 19560, 13, 9393, 315, 279, 16781, 4221, 4967, 2631, 369, 4113, 3495, 304, 7904, 19675, 323, 279, 31293, 430, 1690, 4236, 690, 8493, 892, 3815, 3495, 22917, 11, 9954, 315, 264, 2068, 315, 4007, 304, 7904, 19675, 3629, 5097, 5129, 1109, 264, 30139, 2068, 304, 7665, 19675, 13, 4740, 814, 527, 16584, 11, 4236, 1288, 40158, 279, 19560, 2068, 7690, 389, 279, 2068, 753, 2683, 22165, 4478, 323, 389, 1148, 13124, 315, 7032, 1202, 3293, 38581, 617, 4036, 13, 320, 17, 4771, 3495, 12637, 18143, 30, 220, 18, 4771, 7811, 5977, 22103, 17054, 18143, 30, 18165, 554, 12, 16042, 17054, 18143, 51905, 32, 1633, 6129, 8331, 4236, 2011, 1935, 1139, 2759, 374, 279, 3392, 315, 11897, 814, 690, 1097, 395, 323, 3508, 814, 690, 3596, 1304, 3403, 3300, 439, 264, 14561, 304, 264, 94135, 9476, 311, 2343, 1022, 1884, 45305, 13, 1115, 374, 264, 8104, 3544, 3575, 304, 279, 3723, 4273, 13, 9393, 315, 279, 1579, 2853, 315, 19560, 7978, 323, 279, 57697, 21448, 315, 20948, 264, 40061, 54566, 2683, 11, 1063, 21102, 24196, 617, 19201, 2403, 5606, 34118, 264, 94135, 74657, 8547, 304, 279, 3723, 4273, 13, 18056, 279, 15082, 304, 7904, 19675, 11, 4987, 14875, 19241, 11, 323, 53176, 19241, 527, 2731, 1109, 304, 1063, 1023, 94135, 49255, 11, 4236, 1288, 17782, 304, 19560, 2978, 449, 872, 6548, 7029, 1825, 13, 426, 885, 12898, 11, 386, 885, 12898, 11, 323, 2405, 920, 12898, 17075, 1288, 1101, 2567, 304, 4059, 430, 433, 374, 3284, 311, 617, 264, 50698, 11, 94391, 42093, 7076, 7953, 279, 70916, 21970, 627, 644, 856, 9647, 11, 433, 1053, 387, 81789, 311, 1456, 311, 3041, 459, 8244, 23862, 315, 2405, 920, 13, 7620, 304, 7904, 19675, 13, 578, 4595, 315, 57315, 20414, 323, 13650, 9960, 527, 2288, 17226, 13, 4452, 11, 433, 374, 5505, 311, 2610, 4860, 922, 279, 1948, 7620, 369, 279, 4007, 315, 3230, 13650, 304, 7904, 19675, 11, 1778, 439, 50280, 93127, 64, 74050, 477, 95671, 31757, 66, 31757, 969, 61324, 13, 19292, 279, 6170, 3857, 1053, 387, 264, 1695, 2035, 311, 3240, 1778, 264, 10652, 627, 791, 1160, 369, 3744, 3861, 14861, 2405, 920, 13, 7620, 304, 7008, 323, 279, 3723, 4273, 13, 4072, 10994, 60750, 14946, 690, 3010, 1772, 264, 3744, 9220, 8649, 26544, 369, 1790, 315, 4606, 13, 8876, 279, 20965, 311, 279, 7904, 46969, 14496, 527, 3196, 304, 4892, 5270, 323, 4606, 11, 358, 3463, 433, 1053, 387, 1888, 311, 3240, 1070, 13, 1442, 1070, 374, 3403, 2802, 11, 584, 1253, 1101, 10772, 11725, 369, 13936, 323, 507, 346, 9345, 520, 264, 3010, 2457, 13, 358, 6562, 311, 9901, 362, 2658, 2009, 273, 323, 1443, 88, 309, 432, 19148, 14308, 369, 10695, 757, 449, 279, 4892, 5270, 1160, 13, 5884, 6103, 477, 297, 5287, 311, 420, 1160, 527, 856, 1866, 14867, 627, 861, 315, 2405, 920, 13, 38716, 304, 7904, 46969, 1389, 4892, 5270, 198, 37031, 198, 26353, 38, 484, 3907, 320, 6882, 22941, 19241, 340, 26353, 18532, 3907, 320, 6882, 22941, 19241, 340, 31272, 315, 33654, 320, 30690, 11597, 88, 340, 31272, 315, 8013, 19326, 320, 30690, 11597, 88, 340, 31272, 315, 38975, 320, 30690, 11597, 88, 340, 31272, 315, 64340, 320, 6882, 32718, 340, 31272, 315, 14974, 320, 6882, 32718, 340, 23175, 4273, 198, 33, 24125, 783, 3907, 320, 30690, 11597, 88, 340, 34, 74170, 3907, 320, 45035, 18516, 11, 4987, 14875, 11, 323, 11904, 19241, 26, 44193, 340, 91641, 616, 3907, 320, 68540, 19241, 340, 2321, 683, 3907, 320, 6882, 32718, 340, 27588, 22329, 3907, 320, 34541, 6684, 389, 279, 19723, 315, 44193, 26, 4987, 14875, 19241, 340, 89849, 3907, 320, 6882, 22941, 19241, 340, 3617, 42690, 3907, 320, 6882, 32718, 340, 86838, 19174, 3907, 520, 3341, 65339, 1604, 320, 30690, 11597, 88, 340, 22759, 698, 3907, 320, 6882, 32718, 340, 31272, 315, 7188, 520, 33108, 320, 26070, 323, 36664, 14875, 19241, 340, 31272, 315, 7188, 520, 16376, 32207, 320, 6882, 22941, 19241, 340, 31272, 315, 10780, 320, 12792, 13797, 6150, 26, 4987, 14875, 56064, 323, 16803, 8200, 340, 31272, 315, 28621, 320, 30690, 11597, 88, 340, 31272, 315, 21357, 320, 6882, 22941, 19241, 340, 31272, 315, 14972, 320, 68540, 56064, 323, 26676, 1439, 340, 31272, 315, 1561, 12550, 320, 30690, 11597, 88, 340, 31272, 315, 20355, 320, 26070, 13936, 19241, 340, 31272, 315, 8421, 520, 19816, 320, 68540, 19241, 26, 46969, 340, 31272, 315, 13286, 320, 6882, 22941, 19241, 340, 31272, 315, 6652, 320, 68540, 56064, 323, 47470, 340, 31272, 315, 21073, 520, 31015, 320, 60386, 323, 26676, 1439, 315, 13936, 340, 56, 1604, 3907, 320, 6882, 22941, 19241, 340, 10156, 264, 2678, 5296, 25, 578, 3907, 315, 8421, 499, 4070, 10212, 374, 11, 358, 1935, 433, 11, 279, 19816, 15679, 13, 1102, 2643, 387, 5922, 3339, 2771, 1274, 1440, 430, 11, 2533, 584, 617, 3892, 26639, 53008, 627, 12947, 48069, 4235, 22795, 627, 2746, 13016, 617, 904, 1023, 18726, 369, 51944, 477, 38314, 311, 279, 1160, 11, 814, 649, 1772, 1124, 304, 279, 6170, 477, 384, 11724, 757, 520, 323, 4361, 1276, 718, 72638, 99388, 60, 267, 3633, 43366, 12871, 13, 358, 617, 264, 8430, 358, 4070, 13942, 1063, 7620, 13, 1789, 264, 3318, 7419, 315, 459, 1054, 3104, 863, 2068, 11, 433, 1288, 617, 1510, 2405, 920, 13, 4236, 477, 617, 33109, 1778, 4236, 304, 279, 3347, 4330, 1667, 627, 1271, 1833, 8560, 884, 753, 1772, 11, 358, 7070, 1093, 311, 1120, 923, 430, 856, 3217, 304, 279, 46969, 6011, 315, 279, 3907, 315, 8421, 520, 19816, 49101, 904, 78167, 315, 279, 20026, 1189, 2265, 15837, 430, 374, 26907, 2103, 704, 1070, 304, 1063, 7634, 13, 3092, 2536, 12, 48664, 380, 11, 47904, 8678, 83, 2740, 36185, 45724, 1051, 2744, 33445, 11, 323, 3629, 5115, 8173, 304, 279, 3649, 315, 1148, 358, 574, 3815, 13, 358, 1440, 430, 1778, 2574, 649, 14794, 304, 64233, 5627, 11, 2737, 48911, 11709, 11, 323, 1274, 649, 2231, 389, 264, 1695, 1501, 15851, 315, 1268, 814, 3604, 2733, 13, 2030, 682, 315, 430, 1071, 11, 389, 264, 4443, 2237, 11, 856, 3217, 574, 55734, 6928, 627, 2170, 264, 1510, 5575, 11, 358, 7070, 1093, 311, 2132, 13678, 753, 4068, 922, 279, 6928, 3217, 13, 3092, 37445, 13093, 5764, 13558, 85290, 11, 18747, 1611, 424, 11, 323, 25844, 72044, 11, 682, 315, 8884, 990, 304, 44029, 60259, 4949, 19225, 19675, 315, 4221, 323, 39603, 5706, 13, 2435, 617, 682, 1027, 36297, 304, 9383, 3486, 922, 279, 5370, 41903, 8853, 11, 323, 33445, 315, 856, 2447, 13, 1628, 11, 315, 3388, 11, 856, 13093, 10716, 11, 18587, 37514, 11, 374, 1664, 22015, 369, 813, 5845, 311, 21546, 2225, 2314, 5848, 323, 41903, 26432, 13, 40741, 1023, 22291, 3697, 617, 1101, 11, 520, 2204, 3115, 11, 13605, 2802, 304, 7904, 19675, 13, 358, 4070, 1101, 1027, 3025, 311, 990, 449, 3697, 315, 279, 14875, 19241, 6011, 320, 18375, 6751, 20199, 65384, 6853, 323, 1457, 4418, 17200, 8, 323, 617, 1766, 856, 22639, 449, 1124, 5115, 89684, 627, 9906, 11, 358, 1550, 539, 1518, 279, 36142, 3907, 315, 5270, 304, 279, 1160, 13, 2895, 21508, 38263, 198, 39, 485, 84, 3907, 315, 5270, 374, 539, 10212, 439, 459, 55325, 12374, 555, 279, 2326, 6011, 315, 11930, 512, 2746, 499, 477, 1023, 13016, 1440, 315, 1023, 55325, 23978, 430, 617, 22034, 520, 3325, 832, 2405, 920, 13, 304, 7904, 19675, 304, 279, 3347, 4330, 1667, 11, 4587, 1095, 757, 1440, 323, 358, 690, 923, 1124, 311, 279, 1160, 320, 906, 3197, 311, 2713, 279, 1160, 1578, 304, 4498, 220, 679, 22, 4390, 13359, 499, 779, 1790, 369, 420, 11, 13929, 627, 2746, 358, 1253, 1977, 5304, 2555, 499, 1071, 3485, 11, 304, 701, 3169, 9650, 311, 264, 4754, 19560, 5575, 304, 7904, 19675, 25, 994, 4560, 311, 10491, 1148, 3169, 315, 9476, 304, 902, 832, 1053, 387, 1054, 266, 2162, 9520, 433, 8779, 311, 6227, 430, 304, 904, 2115, 11, 1790, 422, 539, 1455, 315, 701, 75533, 690, 539, 6089, 387, 389, 7904, 19675, 11, 477, 304, 279, 3230, 2115, 315, 7904, 19675, 304, 902, 499, 527, 1455, 8173, 13, 15636, 11, 433, 8779, 311, 8881, 389, 1148, 13124, 315, 2574, 499, 1053, 1455, 1093, 311, 1373, 323, 1781, 922, 304, 1862, 315, 701, 12034, 304, 7904, 3463, 11, 2533, 430, 374, 1405, 499, 690, 3604, 7543, 1455, 315, 701, 892, 1603, 701, 37445, 13, 763, 459, 14875, 19241, 2068, 11, 499, 690, 636, 264, 3831, 8197, 304, 4221, 11, 3925, 11, 323, 13042, 7978, 13, 2100, 11, 50663, 11, 499, 1053, 387, 5403, 22755, 304, 76985, 2442, 581, 295, 276, 15823, 323, 14580, 17649, 389, 3925, 323, 13042, 7978, 13, 763, 46969, 11, 499, 690, 4007, 6522, 61787, 11, 41903, 6492, 315, 872, 4375, 11, 323, 1455, 4461, 11, 19225, 41903, 81898, 320, 68, 1326, 2637, 79136, 20414, 311, 31768, 17688, 11, 5099, 25390, 23127, 10671, 16572, 304, 6492, 323, 43379, 950, 78477, 13, 763, 53176, 19241, 11, 1070, 5084, 311, 387, 264, 2763, 315, 33373, 304, 1148, 374, 704, 1070, 11, 323, 433, 374, 2653, 311, 93640, 1148, 499, 690, 636, 320, 41598, 5825, 264, 2478, 18726, 3485, 8, 719, 358, 1781, 433, 1253, 387, 2653, 311, 1505, 5655, 20392, 449, 19225, 41903, 38152, 11, 7389, 1070, 527, 1274, 304, 430, 4040, 9476, 889, 3621, 311, 387, 16572, 304, 1778, 323, 449, 8884, 499, 649, 990, 627, 4516, 11, 433, 8779, 311, 1781, 315, 279, 21522, 315, 2574, 832, 1053, 1093, 311, 8493, 1077, 892, 5403, 4994, 315, 1077, 6332, 2802, 311, 1520, 1518, 1148, 3169, 315, 9476, 1053, 1304, 279, 1455, 5647, 13, 5046, 3388, 11, 584, 3629, 1541, 1431, 617, 20181, 315, 11709, 26, 1148, 11383, 3727, 264, 9476, 264, 1695, 832, 369, 7904, 19675, 374, 279, 9546, 315, 832, 477, 1403, 1948, 58355, 35416, 11, 323, 433, 8779, 311, 6445, 264, 7029, 4272, 627, 13347, 13929, 11, 2500, 1493, 311, 5155, 25, 25996, 8940, 13797, 6150, 1587, 539, 3085, 264, 30661, 11, 719, 264, 666, 35, 320, 8370, 374, 8965, 20034, 9017, 9052, 54641, 323, 5255, 5347, 3367, 12917, 11, 3582, 433, 649, 617, 264, 55394, 2449, 477, 1524, 264, 2536, 89141, 5357, 570, 578, 9959, 30661, 2068, 374, 304, 279, 19723, 315, 44193, 627, 10445, 1054, 30690, 11597, 950, 59130, 11755, 8423, 863, 5380, 2181, 374, 264, 81350, 389, 38356, 950, 480, 51802, 11, 358, 1053, 1200, 483, 627, 791, 12231, 1113, 650, 34383, 390, 14632, 34445, 362, 2868, 7821, 78, 8365, 311, 279, 4751, 87410, 64, 374, 8530, 810, 8475, 1618, 1109, 1148, 59130, 11755, 72214, 5423, 994, 279, 3465, 315, 19675, 374, 539, 16632, 459, 37637, 75657, 719, 463, 634, 287, 389, 279, 1853, 315, 19297, 323, 15740, 13, 510, 30271, 44, 2131, 933, 1079, 1002, 3725, 11, 420, 706, 4400, 311, 656, 449, 34445, 362, 2868, 7821, 78, 477, 1524, 15089, 88650, 3878, 369, 279, 41903, 2271, 627, 14305, 38356, 950, 480, 51802, 8423, 863, 574, 264, 1664, 22015, 10795, 430, 21682, 279, 1888, 19675, 26280, 304, 279, 1917, 13, 5810, 753, 459, 2362, 2199, 25, 627, 45162, 3388, 11, 358, 2103, 617, 912, 4623, 422, 420, 374, 1148, 13929, 10825, 11, 719, 358, 43410, 430, 568, 574, 3339, 264, 28799, 1514, 389, 430, 7057, 29275, 4897, 374, 13118, 1148, 358, 1047, 304, 4059, 627, 28487, 32580, 374, 55320, 264, 1160, 11, 8051, 358, 1541, 1431, 1440, 1405, 433, 690, 387, 2586, 704, 13, 3161, 5905, 311, 13527, 11, 30661, 82, 304, 7904, 46969, 649, 387, 45179, 304, 1521, 7634, 13, 24296, 11, 279, 18671, 6498, 75898, 1389, 66223, 11, 25715, 11, 19922, 323, 52629, 1389, 1101, 51696, 389, 10496, 279, 9459, 627, 43, 1149, 2352, 3907, 320, 6882, 22941, 19241, 26, 46969, 340, 31272, 315, 24562, 320, 68540, 323, 12877, 18516, 19241, 26, 8940, 13797, 340, 31272, 315, 61692, 320, 6882, 22941, 323, 578, 5848, 19241, 340, 31272, 315, 41406, 320, 50, 41874, 1018, 19241, 26, 4987, 14875, 19241, 340, 31272, 315, 18206, 320, 6882, 22941, 19241, 340, 31272, 315, 19922, 320, 7098, 2641, 11, 56064, 11, 323, 26676, 1439, 340, 31272, 315, 52629, 320, 791, 2508, 323, 53176, 19241, 340, 31272, 315, 25715, 320, 30690, 11597, 88, 340, 31272, 315, 7295, 11, 6150, 315, 72051, 323, 11904, 19241, 320, 6882, 32718, 26, 4987, 13936, 340, 31272, 315, 26275, 320, 46, 462, 6430, 19241, 26, 578, 2508, 323, 44193, 340, 31272, 315, 70608, 320, 30690, 11597, 88, 340, 28487, 374, 10695, 4072, 10994, 60750, 14946, 449, 279, 6560, 13651, 315, 279, 4606, 26544, 13, 1102, 690, 387, 8621, 311, 420, 5117, 5246, 627, 2520, 3938, 5905, 11, 279, 80328, 369, 279, 7665, 26544, 374, 1618, 512, 70983, 1445, 25, 30661, 7620, 304, 7904, 46969, 304, 4606, 765, 658, 10994, 49973, 14946, 198, 70983, 1445, 25, 30661, 7620, 304, 7904, 46969, 961, 220, 17, 25, 4606, 791, 7904, 46969, 14496, 765, 578, 7904, 46969, 14496, 198, 12947, 369, 420, 11944, 323, 16195, 2038, 922, 7978, 304, 7904, 19675, 13, 358, 690, 1093, 311, 387, 304, 5916, 369, 810, 2038, 627, 8142, 499, 649, 5662, 757, 6089, 520, 323, 4361, 1276, 718, 72638, 99388, 60, 267, 3633, 43366, 12871, 11, 358, 4284, 430, 499, 3729, 279, 26280, 6089, 1405, 499, 527, 13126, 19560, 4007, 13, 1472, 649, 1505, 5144, 315, 22291, 323, 872, 384, 11724, 14564, 389, 279, 9476, 2162, 11014, 627, 40, 574, 20910, 11, 889, 527, 279, 1510, 31839, 28175, 389, 23109, 7545, 76, 61711, 81, 93127, 64, 74050, 304, 279, 2326, 323, 4606, 5380, 40, 1053, 923, 311, 15504, 753, 18726, 279, 2768, 31839, 512, 13379, 63268, 762, 11, 3907, 315, 13286, 198, 27588, 8733, 12748, 42608, 942, 11, 3907, 315, 51562, 198, 28487, 285, 8847, 1293, 11, 3907, 315, 26275, 198, 2460, 2380, 527, 5131, 25694, 2405, 920, 13, 4236, 11, 358, 4510, 627, 13359, 499, 51447, 791, 1160, 374, 1317, 11, 719, 279, 3575, 374, 430, 1063, 315, 279, 1455, 19310, 31839, 304, 279, 2115, 1541, 1431, 14647, 617, 19560, 7620, 520, 872, 2978, 627, 23083, 28574, 11, 3907, 315, 4892, 28972, 26, 323, 328, 54895, 4385, 11710, 9538, 1147, 2259, 11, 5960, 18842, 3314, 11, 527, 279, 19310, 10507, 430, 2586, 311, 4059, 627, 7098, 485, 309, 921, 587, 51205, 68641, 11, 315, 3388, 11, 649, 4639, 4205, 11, 323, 28621, 706, 264, 11495, 323, 1664, 64868, 2068, 627, 70983, 1445, 25, 8245, 389, 44825, 38716, 304, 264, 4435, 2085, 83899, 765, 362, 2724, 596, 13002, 2057, 46969, 17586, 83899, 198, 70983, 1445, 25, 3639, 753, 1561, 765, 362, 2724, 596, 13002, 2057, 46969, 17586, 83899, 198, 12840, 7438, 315, 856, 836, 5380, 42, 10888, 587, 277, 649, 387, 279, 25214, 315, 13465, 477, 279, 832, 889, 12789, 304, 11486, 13465, 13, 1628, 39322, 404, 8512, 258, 304, 1207, 75695, 374, 264, 836, 315, 264, 1732, 6832, 6699, 1436, 539, 1505, 264, 2254, 836, 369, 872, 1716, 323, 1047, 311, 1179, 433, 505, 10989, 627, 70983, 1445, 25, 362, 63765, 34307, 2428, 315, 279, 38356, 950, 480, 51802, 8423, 2512, 315, 279, 13690, 48109, 791, 7904, 46969, 14496, 765, 578, 7904, 46969, 14496, 198, 31765, 7904, 46969, 14496, 2128, 345, 13359, 499, 369, 420, 1160, 0, 1666, 4423, 3411, 369, 19675, 7620, 430, 2187, 279, 33436, 315, 24024, 41903, 32006, 11, 420, 374, 9193, 11190, 627, 40, 574, 20910, 11, 374, 1070, 264, 4528, 1160, 15038, 369, 47841, 19675, 430, 499, 1253, 1440, 315, 30, 1442, 539, 11, 374, 433, 264, 6220, 25329, 430, 1690, 315, 279, 5144, 389, 420, 1160, 1253, 1101, 387, 7634, 430, 3085, 10708, 311, 4007, 320, 6414, 12, 48664, 8, 47841, 19675, 32006, 2288, 5380, 2520, 43806, 11, 1935, 264, 1427, 520, 420, 1160, 369, 30661, 7620, 304, 8620, 19675, 11, 20276, 555, 37453, 13000, 452, 28884, 512, 2520, 1023, 32006, 499, 649, 1101, 1935, 264, 1427, 520, 813, 3997, 11, 902, 706, 44615, 67245, 323, 18726, 369, 279, 4007, 315, 1054, 1752, 17037, 15972, 13868, 552, 57633, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 4599, 358, 574, 459, 41534, 358, 574, 18069, 311, 617, 264, 36528, 889, 1047, 6051, 4036, 1077, 2405, 920, 13, 304, 264, 2115, 5552, 311, 856, 12034, 11, 323, 889, 6688, 757, 1695, 11, 709, 4791, 18920, 9650, 389, 279, 1455, 21102, 31839, 323, 7620, 304, 856, 2115, 13, 4800, 430, 358, 1505, 7182, 63779, 856, 1866, 41534, 4236, 11, 358, 617, 1027, 17948, 555, 1120, 1268, 31715, 279, 6671, 369, 279, 14584, 4007, 315, 7904, 19675, 690, 2873, 311, 459, 75683, 13, 5629, 315, 682, 11, 1455, 31839, 304, 4606, 323, 4892, 5270, 889, 990, 389, 7904, 19675, 1550, 539, 7380, 872, 74657, 12628, 505, 46969, 2405, 920, 13, 7620, 13, 24296, 11, 1455, 46969, 85608, 304, 4892, 5270, 323, 4606, 690, 539, 1524, 2980, 459, 32368, 369, 74657, 4967, 6832, 1925, 3495, 2802, 374, 7904, 19675, 13, 358, 1766, 420, 704, 279, 2653, 1648, 1403, 11026, 4227, 994, 358, 4024, 2403, 856, 36528, 753, 9650, 323, 9435, 311, 264, 21102, 19675, 19560, 2068, 13, 358, 3010, 1766, 704, 430, 856, 3851, 1047, 1027, 7214, 743, 16038, 555, 279, 26360, 13093, 1606, 358, 1047, 11224, 304, 856, 4443, 9071, 430, 358, 10825, 311, 23564, 3495, 304, 2225, 29924, 7904, 323, 220, 777, 339, 9478, 7665, 19675, 13, 578, 13093, 9778, 5675, 856, 3851, 323, 2646, 1524, 6688, 757, 279, 27104, 315, 264, 38001, 6661, 627, 43346, 709, 369, 1778, 20026, 1189, 2265, 50183, 315, 19675, 26280, 11, 46877, 7904, 19675, 374, 3629, 15972, 304, 1403, 1023, 7634, 25, 53176, 19241, 26280, 323, 14875, 19241, 26280, 13, 578, 2380, 2204, 4595, 315, 7620, 8541, 311, 617, 2204, 282, 2168, 13, 85608, 315, 14875, 19241, 11, 1101, 7170, 30929, 439, 72051, 19241, 477, 2314, 2508, 11, 3629, 617, 264, 10891, 5848, 5357, 13, 1115, 374, 5423, 279, 1162, 304, 4606, 13, 53176, 19241, 26280, 8541, 311, 3493, 872, 4236, 449, 4967, 304, 19675, 315, 13901, 11, 55394, 44230, 11, 323, 54641, 11, 7526, 430, 649, 3629, 387, 5505, 304, 31047, 22755, 323, 69122, 505, 4987, 13936, 13, 17830, 11, 1070, 527, 264, 2478, 46969, 85608, 430, 617, 7946, 32762, 14875, 19675, 1139, 872, 2917, 46582, 11, 323, 1405, 433, 2643, 5616, 387, 3284, 311, 3495, 5468, 637, 6292, 11, 452, 31757, 70, 31757, 81, 73, 8733, 11, 323, 68844, 526, 8510, 3185, 14656, 25034, 13, 763, 279, 11725, 584, 617, 20276, 369, 279, 7904, 46969, 14496, 584, 617, 5343, 682, 2380, 4595, 315, 7620, 13, 763, 19301, 7620, 311, 3881, 311, 11, 4236, 1053, 387, 1664, 26160, 311, 3839, 1523, 18740, 29085, 555, 832, 477, 1403, 315, 279, 31839, 315, 7904, 19675, 304, 1855, 315, 279, 7620, 814, 527, 13126, 13, 1115, 690, 3041, 1124, 264, 5647, 315, 279, 3169, 315, 4967, 814, 1053, 5371, 323, 279, 3169, 315, 4477, 814, 1053, 387, 3685, 311, 8356, 369, 872, 2405, 920, 13, 34749, 811, 304, 1855, 2068, 627, 791, 11725, 20276, 1618, 527, 11951, 369, 2405, 920, 13, 7620, 13, 9636, 28770, 4236, 1288, 387, 8010, 430, 304, 1455, 5157, 814, 690, 387, 3685, 311, 7380, 459, 386, 885, 13, 304, 264, 9959, 2115, 1603, 814, 649, 387, 16584, 311, 264, 2405, 920, 13, 2068, 13, 7648, 26280, 430, 3085, 279, 2405, 920, 13, 1101, 3085, 279, 386, 885, 2637, 449, 1063, 20157, 13, 20783, 19486, 311, 459, 386, 885, 13, 2068, 690, 11383, 387, 3685, 311, 617, 832, 477, 1403, 1667, 315, 4092, 304, 264, 9959, 4221, 320, 50, 41874, 1018, 11, 393, 8115, 11, 73074, 11, 5099, 36434, 63446, 1139, 264, 2405, 920, 13, 2068, 3629, 7612, 279, 13890, 315, 1403, 477, 810, 1667, 315, 4221, 4007, 13, 9636, 28770, 4236, 315, 7904, 19675, 6832, 23978, 656, 539, 3085, 7754, 304, 14875, 15823, 1053, 387, 24219, 311, 23564, 7474, 4007, 18403, 13, 3907, 11006, 374, 539, 2744, 2561, 369, 279, 386, 885, 13, 1789, 279, 2405, 920, 2637, 4869, 11, 4236, 21630, 304, 4892, 5270, 1288, 32262, 389, 2539, 11006, 25, 264, 4686, 39038, 54205, 5636, 264, 12190, 43773, 408, 627, 32052, 527, 11, 18182, 11, 1455, 11920, 449, 3794, 1139, 459, 386, 885, 13, 477, 2405, 920, 13, 2068, 13, 4452, 11, 814, 1288, 1101, 3041, 264, 2294, 3568, 315, 3463, 311, 1268, 1317, 433, 690, 1935, 311, 636, 704, 11, 1268, 1790, 11897, 690, 86659, 361, 2391, 872, 7978, 11, 323, 1148, 3169, 315, 2683, 814, 1288, 1755, 311, 1505, 1306, 814, 19560, 13, 9393, 315, 279, 16781, 4221, 4967, 2631, 369, 4113, 3495, 304, 7904, 19675, 323, 279, 31293, 430, 1690, 4236, 690, 8493, 892, 3815, 3495, 22917, 11, 9954, 315, 264, 2068, 315, 4007, 304, 7904, 19675, 3629, 5097, 5129, 1109, 264, 30139, 2068, 304, 7665, 19675, 13, 4740, 814, 527, 16584, 11, 4236, 1288, 40158, 279, 19560, 2068, 7690, 389, 279, 2068, 753, 2683, 22165, 4478, 323, 389, 1148, 13124, 315, 7032, 1202, 3293, 38581, 617, 4036, 13, 320, 17, 4771, 3495, 12637, 18143, 30, 220, 18, 4771, 7811, 5977, 22103, 17054, 18143, 30, 18165, 554, 12, 16042, 17054, 18143, 51905, 32, 1633, 6129, 8331, 4236, 2011, 1935, 1139, 2759, 374, 279, 3392, 315, 11897, 814, 690, 1097, 395, 323, 3508, 814, 690, 3596, 1304, 3403, 3300, 439, 264, 14561, 304, 264, 94135, 9476, 311, 2343, 1022, 1884, 45305, 13, 1115, 374, 264, 8104, 3544, 3575, 304, 279, 3723, 4273, 13, 9393, 315, 279, 1579, 2853, 315, 19560, 7978, 323, 279, 57697, 21448, 315, 20948, 264, 40061, 54566, 2683, 11, 1063, 21102, 24196, 617, 19201, 2403, 5606, 34118, 264, 94135, 74657, 8547, 304, 279, 3723, 4273, 13, 18056, 279, 15082, 304, 7904, 19675, 11, 4987, 14875, 19241, 11, 323, 53176, 19241, 527, 2731, 1109, 304, 1063, 1023, 94135, 49255, 11, 4236, 1288, 17782, 304, 19560, 2978, 449, 872, 6548, 7029, 1825, 13, 426, 885, 12898, 11, 386, 885, 12898, 11, 323, 2405, 920, 12898, 17075, 1288, 1101, 2567, 304, 4059, 430, 433, 374, 3284, 311, 617, 264, 50698, 11, 94391, 42093, 7076, 7953, 279, 70916, 21970, 627, 644, 856, 9647, 11, 433, 1053, 387, 81789, 311, 1456, 311, 3041, 459, 8244, 23862, 315, 2405, 920, 13, 7620, 304, 7904, 19675, 13, 578, 4595, 315, 57315, 20414, 323, 13650, 9960, 527, 2288, 17226, 13, 4452, 11, 433, 374, 5505, 311, 2610, 4860, 922, 279, 1948, 7620, 369, 279, 4007, 315, 3230, 13650, 304, 7904, 19675, 11, 1778, 439, 50280, 93127, 64, 74050, 477, 95671, 31757, 66, 31757, 969, 61324, 13, 19292, 279, 6170, 3857, 1053, 387, 264, 1695, 2035, 311, 3240, 1778, 264, 10652, 627, 791, 1160, 369, 3744, 3861, 14861, 2405, 920, 13, 7620, 304, 7008, 323, 279, 3723, 4273, 13, 4072, 10994, 60750, 14946, 690, 3010, 1772, 264, 3744, 9220, 8649, 26544, 369, 1790, 315, 4606, 13, 8876, 279, 20965, 311, 279, 7904, 46969, 14496, 527, 3196, 304, 4892, 5270, 323, 4606, 11, 358, 3463, 433, 1053, 387, 1888, 311, 3240, 1070, 13, 1442, 1070, 374, 3403, 2802, 11, 584, 1253, 1101, 10772, 11725, 369, 13936, 323, 507, 346, 9345, 520, 264, 3010, 2457, 13, 358, 6562, 311, 9901, 362, 2658, 2009, 273, 323, 1443, 88, 309, 432, 19148, 14308, 369, 10695, 757, 449, 279, 4892, 5270, 1160, 13, 5884, 6103, 477, 297, 5287, 311, 420, 1160, 527, 856, 1866, 14867, 627, 861, 315, 2405, 920, 13, 38716, 304, 7904, 46969, 1389, 4892, 5270, 198, 37031, 198, 26353, 38, 484, 3907, 320, 6882, 22941, 19241, 340, 26353, 18532, 3907, 320, 6882, 22941, 19241, 340, 31272, 315, 33654, 320, 30690, 11597, 88, 340, 31272, 315, 8013, 19326, 320, 30690, 11597, 88, 340, 31272, 315, 38975, 320, 30690, 11597, 88, 340, 31272, 315, 64340, 320, 6882, 32718, 340, 31272, 315, 14974, 320, 6882, 32718, 340, 23175, 4273, 198, 33, 24125, 783, 3907, 320, 30690, 11597, 88, 340, 34, 74170, 3907, 320, 45035, 18516, 11, 4987, 14875, 11, 323, 11904, 19241, 26, 44193, 340, 91641, 616, 3907, 320, 68540, 19241, 340, 2321, 683, 3907, 320, 6882, 32718, 340, 27588, 22329, 3907, 320, 34541, 6684, 389, 279, 19723, 315, 44193, 26, 4987, 14875, 19241, 340, 89849, 3907, 320, 6882, 22941, 19241, 340, 3617, 42690, 3907, 320, 6882, 32718, 340, 86838, 19174, 3907, 520, 3341, 65339, 1604, 320, 30690, 11597, 88, 340, 22759, 698, 3907, 320, 6882, 32718, 340, 31272, 315, 7188, 520, 33108, 320, 26070, 323, 36664, 14875, 19241, 340, 31272, 315, 7188, 520, 16376, 32207, 320, 6882, 22941, 19241, 340, 31272, 315, 10780, 320, 12792, 13797, 6150, 26, 4987, 14875, 56064, 323, 16803, 8200, 340, 31272, 315, 28621, 320, 30690, 11597, 88, 340, 31272, 315, 21357, 320, 6882, 22941, 19241, 340, 31272, 315, 14972, 320, 68540, 56064, 323, 26676, 1439, 340, 31272, 315, 1561, 12550, 320, 30690, 11597, 88, 340, 31272, 315, 20355, 320, 26070, 13936, 19241, 340, 31272, 315, 8421, 520, 19816, 320, 68540, 19241, 26, 46969, 340, 31272, 315, 13286, 320, 6882, 22941, 19241, 340, 31272, 315, 6652, 320, 68540, 56064, 323, 47470, 340, 31272, 315, 21073, 520, 31015, 320, 60386, 323, 26676, 1439, 315, 13936, 340, 56, 1604, 3907, 320, 6882, 22941, 19241, 340, 10156, 264, 2678, 5296, 25, 578, 3907, 315, 8421, 499, 4070, 10212, 374, 11, 358, 1935, 433, 11, 279, 19816, 15679, 13, 1102, 2643, 387, 5922, 3339, 2771, 1274, 1440, 430, 11, 2533, 584, 617, 3892, 26639, 53008, 627, 12947, 48069, 4235, 22795, 627, 2746, 13016, 617, 904, 1023, 18726, 369, 51944, 477, 38314, 311, 279, 1160, 11, 814, 649, 1772, 1124, 304, 279, 6170, 477, 384, 11724, 757, 520, 323, 4361, 1276, 718, 72638, 99388, 60, 267, 3633, 43366, 12871, 13, 358, 617, 264, 8430, 358, 4070, 13942, 1063, 7620, 13, 1789, 264, 3318, 7419, 315, 459, 1054, 3104, 863, 2068, 11, 433, 1288, 617, 1510, 2405, 920, 13, 4236, 477, 617, 33109, 1778, 4236, 304, 279, 3347, 4330, 1667, 627, 1271, 1833, 8560, 884, 753, 1772, 11, 358, 7070, 1093, 311, 1120, 923, 430, 856, 3217, 304, 279, 46969, 6011, 315, 279, 3907, 315, 8421, 520, 19816, 49101, 904, 78167, 315, 279, 20026, 1189, 2265, 15837, 430, 374, 26907, 2103, 704, 1070, 304, 1063, 7634, 13, 3092, 2536, 12, 48664, 380, 11, 47904, 8678, 83, 2740, 36185, 45724, 1051, 2744, 33445, 11, 323, 3629, 5115, 8173, 304, 279, 3649, 315, 1148, 358, 574, 3815, 13, 358, 1440, 430, 1778, 2574, 649, 14794, 304, 64233, 5627, 11, 2737, 48911, 11709, 11, 323, 1274, 649, 2231, 389, 264, 1695, 1501, 15851, 315, 1268, 814, 3604, 2733, 13, 2030, 682, 315, 430, 1071, 11, 389, 264, 4443, 2237, 11, 856, 3217, 574, 55734, 6928, 627, 2170, 264, 1510, 5575, 11, 358, 7070, 1093, 311, 2132, 13678, 753, 4068, 922, 279, 6928, 3217, 13, 3092, 37445, 13093, 5764, 13558, 85290, 11, 18747, 1611, 424, 11, 323, 25844, 72044, 11, 682, 315, 8884, 990, 304, 44029, 60259, 4949, 19225, 19675, 315, 4221, 323, 39603, 5706, 13, 2435, 617, 682, 1027, 36297, 304, 9383, 3486, 922, 279, 5370, 41903, 8853, 11, 323, 33445, 315, 856, 2447, 13, 1628, 11, 315, 3388, 11, 856, 13093, 10716, 11, 18587, 37514, 11, 374, 1664, 22015, 369, 813, 5845, 311, 21546, 2225, 2314, 5848, 323, 41903, 26432, 13, 40741, 1023, 22291, 3697, 617, 1101, 11, 520, 2204, 3115, 11, 13605, 2802, 304, 7904, 19675, 13, 358, 4070, 1101, 1027, 3025, 311, 990, 449, 3697, 315, 279, 14875, 19241, 6011, 320, 18375, 6751, 20199, 65384, 6853, 323, 1457, 4418, 17200, 8, 323, 617, 1766, 856, 22639, 449, 1124, 5115, 89684, 627, 9906, 11, 358, 1550, 539, 1518, 279, 36142, 3907, 315, 5270, 304, 279, 1160, 13, 2895, 21508, 38263, 198, 39, 485, 84, 3907, 315, 5270, 374, 539, 10212, 439, 459, 55325, 12374, 555, 279, 2326, 6011, 315, 11930, 512, 2746, 499, 477, 1023, 13016, 1440, 315, 1023, 55325, 23978, 430, 617, 22034, 520, 3325, 832, 2405, 920, 13, 304, 7904, 19675, 304, 279, 3347, 4330, 1667, 11, 4587, 1095, 757, 1440, 323, 358, 690, 923, 1124, 311, 279, 1160, 320, 906, 3197, 311, 2713, 279, 1160, 1578, 304, 4498, 220, 679, 22, 4390, 13359, 499, 779, 1790, 369, 420, 11, 13929, 627, 2746, 358, 1253, 1977, 5304, 2555, 499, 1071, 3485, 11, 304, 701, 3169, 9650, 311, 264, 4754, 19560, 5575, 304, 7904, 19675, 25, 994, 4560, 311, 10491, 1148, 3169, 315, 9476, 304, 902, 832, 1053, 387, 1054, 266, 2162, 9520, 433, 8779, 311, 6227, 430, 304, 904, 2115, 11, 1790, 422, 539, 1455, 315, 701, 75533, 690, 539, 6089, 387, 389, 7904, 19675, 11, 477, 304, 279, 3230, 2115, 315, 7904, 19675, 304, 902, 499, 527, 1455, 8173, 13, 15636, 11, 433, 8779, 311, 8881, 389, 1148, 13124, 315, 2574, 499, 1053, 1455, 1093, 311, 1373, 323, 1781, 922, 304, 1862, 315, 701, 12034, 304, 7904, 3463, 11, 2533, 430, 374, 1405, 499, 690, 3604, 7543, 1455, 315, 701, 892, 1603, 701, 37445, 13, 763, 459, 14875, 19241, 2068, 11, 499, 690, 636, 264, 3831, 8197, 304, 4221, 11, 3925, 11, 323, 13042, 7978, 13, 2100, 11, 50663, 11, 499, 1053, 387, 5403, 22755, 304, 76985, 2442, 581, 295, 276, 15823, 323, 14580, 17649, 389, 3925, 323, 13042, 7978, 13, 763, 46969, 11, 499, 690, 4007, 6522, 61787, 11, 41903, 6492, 315, 872, 4375, 11, 323, 1455, 4461, 11, 19225, 41903, 81898, 320, 68, 1326, 2637, 79136, 20414, 311, 31768, 17688, 11, 5099, 25390, 23127, 10671, 16572, 304, 6492, 323, 43379, 950, 78477, 13, 763, 53176, 19241, 11, 1070, 5084, 311, 387, 264, 2763, 315, 33373, 304, 1148, 374, 704, 1070, 11, 323, 433, 374, 2653, 311, 93640, 1148, 499, 690, 636, 320, 41598, 5825, 264, 2478, 18726, 3485, 8, 719, 358, 1781, 433, 1253, 387, 2653, 311, 1505, 5655, 20392, 449, 19225, 41903, 38152, 11, 7389, 1070, 527, 1274, 304, 430, 4040, 9476, 889, 3621, 311, 387, 16572, 304, 1778, 323, 449, 8884, 499, 649, 990, 627, 4516, 11, 433, 8779, 311, 1781, 315, 279, 21522, 315, 2574, 832, 1053, 1093, 311, 8493, 1077, 892, 5403, 4994, 315, 1077, 6332, 2802, 311, 1520, 1518, 1148, 3169, 315, 9476, 1053, 1304, 279, 1455, 5647, 13, 5046, 3388, 11, 584, 3629, 1541, 1431, 617, 20181, 315, 11709, 26, 1148, 11383, 3727, 264, 9476, 264, 1695, 832, 369, 7904, 19675, 374, 279, 9546, 315, 832, 477, 1403, 1948, 58355, 35416, 11, 323, 433, 8779, 311, 6445, 264, 7029, 4272, 627, 13347, 13929, 11, 2500, 1493, 311, 5155, 25, 25996, 8940, 13797, 6150, 1587, 539, 3085, 264, 30661, 11, 719, 264, 666, 35, 320, 8370, 374, 8965, 20034, 9017, 9052, 54641, 323, 5255, 5347, 3367, 12917, 11, 3582, 433, 649, 617, 264, 55394, 2449, 477, 1524, 264, 2536, 89141, 5357, 570, 578, 9959, 30661, 2068, 374, 304, 279, 19723, 315, 44193, 627, 10445, 1054, 30690, 11597, 950, 59130, 11755, 8423, 863, 5380, 2181, 374, 264, 81350, 389, 38356, 950, 480, 51802, 11, 358, 1053, 1200, 483, 627, 791, 12231, 1113, 650, 34383, 390, 14632, 34445, 362, 2868, 7821, 78, 8365, 311, 279, 4751, 87410, 64, 374, 8530, 810, 8475, 1618, 1109, 1148, 59130, 11755, 72214, 5423, 994, 279, 3465, 315, 19675, 374, 539, 16632, 459, 37637, 75657, 719, 463, 634, 287, 389, 279, 1853, 315, 19297, 323, 15740, 13, 510, 30271, 44, 2131, 933, 1079, 1002, 3725, 11, 420, 706, 4400, 311, 656, 449, 34445, 362, 2868, 7821, 78, 477, 1524, 15089, 88650, 3878, 369, 279, 41903, 2271, 627, 14305, 38356, 950, 480, 51802, 8423, 863, 574, 264, 1664, 22015, 10795, 430, 21682, 279, 1888, 19675, 26280, 304, 279, 1917, 13, 5810, 753, 459, 2362, 2199, 25, 627, 45162, 3388, 11, 358, 2103, 617, 912, 4623, 422, 420, 374, 1148, 13929, 10825, 11, 719, 358, 43410, 430, 568, 574, 3339, 264, 28799, 1514, 389, 430, 7057, 29275, 4897, 374, 13118, 1148, 358, 1047, 304, 4059, 627, 28487, 32580, 374, 55320, 264, 1160, 11, 8051, 358, 1541, 1431, 1440, 1405, 433, 690, 387, 2586, 704, 13, 3161, 5905, 311, 13527, 11, 30661, 82, 304, 7904, 46969, 649, 387, 45179, 304, 1521, 7634, 13, 24296, 11, 279, 18671, 6498, 75898, 1389, 66223, 11, 25715, 11, 19922, 323, 52629, 1389, 1101, 51696, 389, 10496, 279, 9459, 627, 43, 1149, 2352, 3907, 320, 6882, 22941, 19241, 26, 46969, 340, 31272, 315, 24562, 320, 68540, 323, 12877, 18516, 19241, 26, 8940, 13797, 340, 31272, 315, 61692, 320, 6882, 22941, 323, 578, 5848, 19241, 340, 31272, 315, 41406, 320, 50, 41874, 1018, 19241, 26, 4987, 14875, 19241, 340, 31272, 315, 18206, 320, 6882, 22941, 19241, 340, 31272, 315, 19922, 320, 7098, 2641, 11, 56064, 11, 323, 26676, 1439, 340, 31272, 315, 52629, 320, 791, 2508, 323, 53176, 19241, 340, 31272, 315, 25715, 320, 30690, 11597, 88, 340, 31272, 315, 7295, 11, 6150, 315, 72051, 323, 11904, 19241, 320, 6882, 32718, 26, 4987, 13936, 340, 31272, 315, 26275, 320, 46, 462, 6430, 19241, 26, 578, 2508, 323, 44193, 340, 31272, 315, 70608, 320, 30690, 11597, 88, 340, 28487, 374, 10695, 4072, 10994, 60750, 14946, 449, 279, 6560, 13651, 315, 279, 4606, 26544, 13, 1102, 690, 387, 8621, 311, 420, 5117, 5246, 627, 2520, 3938, 5905, 11, 279, 80328, 369, 279, 7665, 26544, 374, 1618, 512, 70983, 1445, 25, 30661, 7620, 304, 7904, 46969, 304, 4606, 765, 658, 10994, 49973, 14946, 198, 70983, 1445, 25, 30661, 7620, 304, 7904, 46969, 961, 220, 17, 25, 4606, 791, 7904, 46969, 14496, 765, 578, 7904, 46969, 14496, 198, 12947, 369, 420, 11944, 323, 16195, 2038, 922, 7978, 304, 7904, 19675, 13, 358, 690, 1093, 311, 387, 304, 5916, 369, 810, 2038, 627, 8142, 499, 649, 5662, 757, 6089, 520, 323, 4361, 1276, 718, 72638, 99388, 60, 267, 3633, 43366, 12871, 11, 358, 4284, 430, 499, 3729, 279, 26280, 6089, 1405, 499, 527, 13126, 19560, 4007, 13, 1472, 649, 1505, 5144, 315, 22291, 323, 872, 384, 11724, 14564, 389, 279, 9476, 2162, 11014, 627, 40, 574, 20910, 11, 889, 527, 279, 1510, 31839, 28175, 389, 23109, 7545, 76, 61711, 81, 93127, 64, 74050, 304, 279, 2326, 323, 4606, 5380, 40, 1053, 923, 311, 15504, 753, 18726, 279, 2768, 31839, 512, 13379, 63268, 762, 11, 3907, 315, 13286, 198, 27588, 8733, 12748, 42608, 942, 11, 3907, 315, 51562, 198, 28487, 285, 8847, 1293, 11, 3907, 315, 26275, 198, 2460, 2380, 527, 5131, 25694, 2405, 920, 13, 4236, 11, 358, 4510, 627, 13359, 499, 51447, 791, 1160, 374, 1317, 11, 719, 279, 3575, 374, 430, 1063, 315, 279, 1455, 19310, 31839, 304, 279, 2115, 1541, 1431, 14647, 617, 19560, 7620, 520, 872, 2978, 627, 23083, 28574, 11, 3907, 315, 4892, 28972, 26, 323, 328, 54895, 4385, 11710, 9538, 1147, 2259, 11, 5960, 18842, 3314, 11, 527, 279, 19310, 10507, 430, 2586, 311, 4059, 627, 7098, 485, 309, 921, 587, 51205, 68641, 11, 315, 3388, 11, 649, 4639, 4205, 11, 323, 28621, 706, 264, 11495, 323, 1664, 64868, 2068, 627, 70983, 1445, 25, 8245, 389, 44825, 38716, 304, 264, 4435, 2085, 83899, 765, 362, 2724, 596, 13002, 2057, 46969, 17586, 83899, 198, 70983, 1445, 25, 3639, 753, 1561, 765, 362, 2724, 596, 13002, 2057, 46969, 17586, 83899, 198, 12840, 7438, 315, 856, 836, 5380, 42, 10888, 587, 277, 649, 387, 279, 25214, 315, 13465, 477, 279, 832, 889, 12789, 304, 11486, 13465, 13, 1628, 39322, 404, 8512, 258, 304, 1207, 75695, 374, 264, 836, 315, 264, 1732, 6832, 6699, 1436, 539, 1505, 264, 2254, 836, 369, 872, 1716, 323, 1047, 311, 1179, 433, 505, 10989, 627, 70983, 1445, 25, 362, 63765, 34307, 2428, 315, 279, 38356, 950, 480, 51802, 8423, 2512, 315, 279, 13690, 48109, 791, 7904, 46969, 14496, 765, 578, 7904, 46969, 14496, 198, 31765, 7904, 46969, 14496, 2128, 345, 13359, 499, 369, 420, 1160, 0, 1666, 4423, 3411, 369, 19675, 7620, 430, 2187, 279, 33436, 315, 24024, 41903, 32006, 11, 420, 374, 9193, 11190, 627, 40, 574, 20910, 11, 374, 1070, 264, 4528, 1160, 15038, 369, 47841, 19675, 430, 499, 1253, 1440, 315, 30, 1442, 539, 11, 374, 433, 264, 6220, 25329, 430, 1690, 315, 279, 5144, 389, 420, 1160, 1253, 1101, 387, 7634, 430, 3085, 10708, 311, 4007, 320, 6414, 12, 48664, 8, 47841, 19675, 32006, 2288, 5380, 2520, 43806, 11, 1935, 264, 1427, 520, 420, 1160, 369, 30661, 7620, 304, 8620, 19675, 11, 20276, 555, 37453, 13000, 452, 28884, 512, 2520, 1023, 32006, 499, 649, 1101, 1935, 264, 1427, 520, 813, 3997, 11, 902, 706, 44615, 67245, 323, 18726, 369, 279, 4007, 315, 1054, 1752, 17037, 15972, 13868, 552, 57633, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341 ]
3,342
[ 128000, 94449, 340, 3923, 499, 1205, 512, 12, 220, 16, 10747, 6503, 1354, 198, 12, 220, 16, 10747, 8369, 3090, 198, 12, 220, 16, 64975, 13, 4642, 9235, 41580, 198, 12, 220, 16, 10747, 4459, 14403, 198, 12, 220, 16, 14, 19, 10747, 7120, 62334, 14432, 11, 50459, 198, 12, 220, 17, 39020, 13, 12290, 198, 12, 220, 20, 220, 16, 14, 17, 311, 220, 21, 26446, 20415, 198, 12, 220, 16, 3544, 19151, 11, 31394, 449, 220, 17, 39020, 13, 8369, 3090, 198, 12, 220, 16, 220, 16, 14, 17, 10747, 13465, 198, 12, 220, 16, 220, 16, 14, 17, 64975, 13, 51992, 198, 19648, 6503, 1354, 304, 264, 2678, 19763, 10409, 449, 4106, 3090, 13, 6914, 628, 1538, 709, 369, 220, 605, 4520, 323, 24659, 13, 2638, 16038, 627, 17826, 220, 16, 10747, 8369, 3090, 304, 2559, 38878, 323, 923, 41580, 13, 65292, 13, 6914, 743, 369, 220, 605, 4520, 11, 1243, 23935, 627, 626, 404, 304, 14403, 11, 50459, 14432, 11, 323, 12290, 627, 2261, 220, 20, 220, 16, 14, 17, 26446, 315, 20415, 3156, 433, 4131, 3871, 627, 42, 818, 329, 449, 31452, 9903, 369, 220, 23, 311, 220, 605, 4520, 627, 19952, 38878, 389, 3428, 323, 14174, 329, 304, 6503, 1354, 3156, 42147, 4332, 627, 31996, 323, 1095, 10205, 369, 832, 6596, 627, 12792, 579, 1139, 220, 17, 9863, 323, 6638, 704, 389, 5663, 1139, 264, 1317, 23596, 482, 439, 7029, 439, 701, 77248, 7363, 374, 1317, 627, 26004, 449, 19151, 11623, 627, 82214, 13465, 323, 51992, 323, 85947, 927, 781, 4798, 627, 33455, 709, 323, 2035, 27494, 3185, 1523, 304, 2886, 1503, 77248, 64883, 627, 10267, 10205, 369, 220, 966, 4520, 323, 85947, 449, 51992, 1355, 8734, 21655, 627, 33, 731, 369, 220, 1272, 311, 220, 1774, 4520, 304, 264, 864, 383, 660, 220, 12935, 38775, 24276, 13, 6914, 7155, 627, 29880, 505, 4946, 12797, 1789, 4487, 3742, 198, 16, 4068, 512, 12174, 11, 358, 40835, 51992, 6503, 258, 16385, 0, 4359, 11, 358, 2846, 30056, 1314, 1457, 13, 19173, 11, 358, 617, 279, 17677, 7512, 315, 264, 1131, 2555, 430, 706, 912, 17677, 7512, 0, 423, 25, 10926, 358, 649, 636, 832, 315, 856, 3070, 3697, 311, 1304, 433, 369, 757, 30, 3161, 10283, 315, 74073, 11, 315, 3388, 0, 11361, 369, 11821, 279, 11363, 11, 21077, 0, 366, 18, 27046, 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 ]
[ 128000, 94449, 340, 3923, 499, 1205, 512, 12, 220, 16, 10747, 6503, 1354, 198, 12, 220, 16, 10747, 8369, 3090, 198, 12, 220, 16, 64975, 13, 4642, 9235, 41580, 198, 12, 220, 16, 10747, 4459, 14403, 198, 12, 220, 16, 14, 19, 10747, 7120, 62334, 14432, 11, 50459, 198, 12, 220, 17, 39020, 13, 12290, 198, 12, 220, 20, 220, 16, 14, 17, 311, 220, 21, 26446, 20415, 198, 12, 220, 16, 3544, 19151, 11, 31394, 449, 220, 17, 39020, 13, 8369, 3090, 198, 12, 220, 16, 220, 16, 14, 17, 10747, 13465, 198, 12, 220, 16, 220, 16, 14, 17, 64975, 13, 51992, 198, 19648, 6503, 1354, 304, 264, 2678, 19763, 10409, 449, 4106, 3090, 13, 6914, 628, 1538, 709, 369, 220, 605, 4520, 323, 24659, 13, 2638, 16038, 627, 17826, 220, 16, 10747, 8369, 3090, 304, 2559, 38878, 323, 923, 41580, 13, 65292, 13, 6914, 743, 369, 220, 605, 4520, 11, 1243, 23935, 627, 626, 404, 304, 14403, 11, 50459, 14432, 11, 323, 12290, 627, 2261, 220, 20, 220, 16, 14, 17, 26446, 315, 20415, 3156, 433, 4131, 3871, 627, 42, 818, 329, 449, 31452, 9903, 369, 220, 23, 311, 220, 605, 4520, 627, 19952, 38878, 389, 3428, 323, 14174, 329, 304, 6503, 1354, 3156, 42147, 4332, 627, 31996, 323, 1095, 10205, 369, 832, 6596, 627, 12792, 579, 1139, 220, 17, 9863, 323, 6638, 704, 389, 5663, 1139, 264, 1317, 23596, 482, 439, 7029, 439, 701, 77248, 7363, 374, 1317, 627, 26004, 449, 19151, 11623, 627, 82214, 13465, 323, 51992, 323, 85947, 927, 781, 4798, 627, 33455, 709, 323, 2035, 27494, 3185, 1523, 304, 2886, 1503, 77248, 64883, 627, 10267, 10205, 369, 220, 966, 4520, 323, 85947, 449, 51992, 1355, 8734, 21655, 627, 33, 731, 369, 220, 1272, 311, 220, 1774, 4520, 304, 264, 864, 383, 660, 220, 12935, 38775, 24276, 13, 6914, 7155, 627, 29880, 505, 4946, 12797, 1789, 4487, 3742, 198, 16, 4068, 512, 12174, 11, 358, 40835, 51992, 6503, 258, 16385, 0, 4359, 11, 358, 2846, 30056, 1314, 1457, 13, 19173, 11, 358, 617, 279, 17677, 7512, 315, 264, 1131, 2555, 430, 706, 912, 17677, 7512, 0, 423, 25, 10926, 358, 649, 636, 832, 315, 856, 3070, 3697, 311, 1304, 433, 369, 757, 30, 3161, 10283, 315, 74073, 11, 315, 3388, 0, 11361, 369, 11821, 279, 11363, 11, 21077, 0, 366, 18, 27046, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 23083, 4673, 27625, 1252, 588, 8839, 1561, 11579, 364, 32, 258, 1431, 362, 8722, 6, 763, 49380, 18880, 24342, 27307, 19771, 198, 16, 5887, 220, 679, 18, 11, 220, 806, 25, 3487, 198, 6, 24714, 2030, 578, 27894, 6, 6917, 6941, 4673, 27625, 706, 28219, 1022, 459, 14079, 18880, 24342, 8810, 6651, 449, 813, 6883, 502, 5609, 364, 32, 258, 1431, 362, 8722, 24482, 791, 15603, 11495, 22102, 14, 60012, 889, 374, 5131, 22128, 650, 80577, 6295, 7054, 220, 1272, 2450, 449, 813, 4275, 30237, 78, 20632, 364, 9315, 11481, 6, 11096, 1628, 72, 423, 8186, 519, 1566, 9178, 627, 791, 220, 966, 9568, 6651, 5343, 6469, 23064, 12116, 505, 279, 13452, 315, 24526, 451, 2009, 10517, 11, 35281, 650, 11, 21080, 5046, 578, 8219, 11, 5636, 1063, 315, 279, 220, 1774, 4771, 6418, 596, 1866, 13280, 2737, 813, 96527, 20632, 364, 6107, 4800, 24482, 23083, 4673, 27625, 374, 279, 5652, 8810, 311, 5249, 1628, 72, 389, 279, 18880, 9178, 2768, 27351, 505, 279, 13452, 315, 7671, 3457, 72, 323, 445, 3864, 1445, 25459, 627, 2675, 649, 2339, 1628, 72, 423, 8186, 519, 389, 18880, 1475, 6740, 612, 7884, 505, 33433, 627, 39814, 1203, 311, 5460, 8747, 4673, 27625, 596, 14079, 6651, 389, 18880, 3770, 9522, 9619, 6941, 4673, 27625, 18880, 24342, 8810, 6651, 3839, 35696, 512, 16, 13, 6941, 4673, 27625, 612, 88448, 763, 578, 12538, 10702, 36627, 1389, 82251, 1431, 362, 8722, 320, 33731, 6984, 340, 17, 13, 8105, 3895, 5660, 1539, 1389, 51849, 320, 6620, 49, 340, 18, 13, 35281, 650, 1389, 328, 52936, 4147, 320, 644, 37895, 340, 19, 13, 24526, 451, 2009, 10517, 612, 76086, 489, 71099, 59646, 1389, 2360, 7839, 320, 6540, 6258, 258, 340, 20, 13, 423, 2649, 9601, 1389, 2577, 287, 85670, 54511, 320, 33, 29008, 25640, 51127, 8, 320, 39, 22604, 689, 340, 21, 13, 21080, 5046, 578, 8219, 1389, 66526, 320, 23083, 4673, 27625, 51127, 8, 320, 64797, 340, 22, 13, 6941, 4673, 27625, 10702, 4275, 30237, 78, 612, 16762, 263, 1389, 7199, 11481, 320, 67722, 4275, 588, 51127, 8, 320, 3923, 362, 10948, 340, 23, 13, 96527, 10702, 6941, 4673, 27625, 1389, 10291, 4800, 320, 4126, 8, 320, 2685, 20614, 8, 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 ]
[ 128000, 23083, 4673, 27625, 1252, 588, 8839, 1561, 11579, 364, 32, 258, 1431, 362, 8722, 6, 763, 49380, 18880, 24342, 27307, 19771, 198, 16, 5887, 220, 679, 18, 11, 220, 806, 25, 3487, 198, 6, 24714, 2030, 578, 27894, 6, 6917, 6941, 4673, 27625, 706, 28219, 1022, 459, 14079, 18880, 24342, 8810, 6651, 449, 813, 6883, 502, 5609, 364, 32, 258, 1431, 362, 8722, 24482, 791, 15603, 11495, 22102, 14, 60012, 889, 374, 5131, 22128, 650, 80577, 6295, 7054, 220, 1272, 2450, 449, 813, 4275, 30237, 78, 20632, 364, 9315, 11481, 6, 11096, 1628, 72, 423, 8186, 519, 1566, 9178, 627, 791, 220, 966, 9568, 6651, 5343, 6469, 23064, 12116, 505, 279, 13452, 315, 24526, 451, 2009, 10517, 11, 35281, 650, 11, 21080, 5046, 578, 8219, 11, 5636, 1063, 315, 279, 220, 1774, 4771, 6418, 596, 1866, 13280, 2737, 813, 96527, 20632, 364, 6107, 4800, 24482, 23083, 4673, 27625, 374, 279, 5652, 8810, 311, 5249, 1628, 72, 389, 279, 18880, 9178, 2768, 27351, 505, 279, 13452, 315, 7671, 3457, 72, 323, 445, 3864, 1445, 25459, 627, 2675, 649, 2339, 1628, 72, 423, 8186, 519, 389, 18880, 1475, 6740, 612, 7884, 505, 33433, 627, 39814, 1203, 311, 5460, 8747, 4673, 27625, 596, 14079, 6651, 389, 18880, 3770, 9522, 9619, 6941, 4673, 27625, 18880, 24342, 8810, 6651, 3839, 35696, 512, 16, 13, 6941, 4673, 27625, 612, 88448, 763, 578, 12538, 10702, 36627, 1389, 82251, 1431, 362, 8722, 320, 33731, 6984, 340, 17, 13, 8105, 3895, 5660, 1539, 1389, 51849, 320, 6620, 49, 340, 18, 13, 35281, 650, 1389, 328, 52936, 4147, 320, 644, 37895, 340, 19, 13, 24526, 451, 2009, 10517, 612, 76086, 489, 71099, 59646, 1389, 2360, 7839, 320, 6540, 6258, 258, 340, 20, 13, 423, 2649, 9601, 1389, 2577, 287, 85670, 54511, 320, 33, 29008, 25640, 51127, 8, 320, 39, 22604, 689, 340, 21, 13, 21080, 5046, 578, 8219, 1389, 66526, 320, 23083, 4673, 27625, 51127, 8, 320, 64797, 340, 22, 13, 6941, 4673, 27625, 10702, 4275, 30237, 78, 612, 16762, 263, 1389, 7199, 11481, 320, 67722, 4275, 588, 51127, 8, 320, 3923, 362, 10948, 340, 23, 13, 96527, 10702, 6941, 4673, 27625, 1389, 10291, 4800, 320, 4126, 8, 320, 2685, 20614, 8, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 11439, 311, 264, 10795, 555, 4476, 55820, 11, 810, 6978, 527, 1701, 2930, 3477, 6732, 311, 3495, 369, 18985, 12850, 13, 220, 6281, 4, 315, 6978, 1005, 2930, 8544, 311, 15806, 12850, 323, 220, 5332, 4, 439, 872, 1176, 3094, 311, 9455, 264, 502, 9287, 13, 7429, 11, 220, 679, 23, 8949, 26262, 10506, 24507, 555, 27508, 7469, 1766, 430, 220, 4218, 4, 315, 13723, 1373, 8544, 369, 2254, 9873, 13, 15636, 11, 20958, 264, 48317, 2930, 9546, 389, 50351, 3477, 6732, 374, 7718, 369, 701, 29106, 6725, 627, 10445, 527, 50351, 3477, 6732, 3062, 5380, 96711, 6978, 690, 2744, 1390, 311, 4034, 264, 50351, 449, 264, 17033, 3839, 3335, 323, 264, 1695, 2930, 17444, 11, 779, 814, 690, 7095, 279, 2038, 323, 8544, 6222, 555, 1023, 6978, 13, 9176, 4754, 6978, 7095, 50351, 10959, 6732, 1418, 15389, 369, 18653, 5050, 3600, 2212, 1124, 13, 15636, 11, 2930, 3477, 6732, 527, 7718, 369, 50351, 17444, 6373, 13, 4718, 2930, 8544, 323, 18594, 389, 1521, 6732, 690, 12391, 701, 19248, 323, 690, 9504, 810, 6978, 311, 701, 28913, 627, 35, 306, 380, 3477, 6732, 649, 1101, 1520, 499, 7417, 701, 6978, 529, 3217, 13, 578, 6978, 529, 8544, 323, 11302, 690, 1095, 499, 1440, 1148, 701, 6978, 527, 7556, 922, 499, 11, 1148, 814, 1781, 477, 1148, 814, 2733, 922, 701, 3600, 13, 763, 420, 1648, 11, 499, 4805, 1440, 1148, 3966, 311, 387, 5614, 13, 1102, 4805, 1520, 499, 1893, 264, 6380, 323, 20097, 8893, 2385, 323, 3139, 701, 6725, 627, 791, 7757, 374, 49886, 449, 11758, 315, 2930, 50351, 3477, 6732, 430, 2187, 6978, 311, 4430, 872, 4443, 3217, 323, 3477, 389, 279, 18653, 5050, 3600, 13, 1226, 617, 20276, 264, 1160, 315, 1948, 3477, 6732, 369, 18653, 1705, 627, 56, 1290, 706, 22763, 439, 832, 315, 279, 26731, 7982, 2930, 3477, 6732, 449, 3345, 311, 220, 9263, 44, 2860, 21728, 304, 279, 1566, 4848, 4038, 13, 1102, 706, 21682, 439, 832, 315, 279, 1888, 2930, 15407, 3529, 1248, 2490, 449, 264, 3831, 15603, 9546, 13, 1666, 264, 12514, 2816, 369, 8405, 2626, 8544, 11, 433, 374, 1633, 5526, 24059, 279, 18653, 1705, 323, 18985, 5064, 13, 1102, 374, 832, 315, 279, 4832, 15771, 311, 636, 8544, 505, 6978, 627, 4599, 433, 4131, 311, 2930, 9546, 11, 1268, 649, 832, 10240, 5195, 0, 1102, 374, 264, 16996, 2626, 3477, 2816, 902, 33511, 279, 2410, 315, 2254, 2626, 26544, 13, 4702, 1093, 5690, 11, 1690, 18653, 1705, 617, 459, 4642, 9546, 389, 5195, 3092, 8184, 2199, 1405, 6978, 4430, 872, 8544, 11, 11302, 323, 1524, 2610, 4860, 5552, 311, 29106, 2890, 477, 3600, 1694, 9076, 13, 1102, 706, 11990, 315, 15613, 11, 779, 433, 11335, 459, 3062, 3560, 304, 50351, 17444, 6373, 627, 16, 12, 4728, 9607, 306, 380, 374, 459, 21416, 5452, 1405, 832, 649, 1505, 264, 1396, 315, 9908, 323, 6946, 389, 29106, 2512, 13, 3161, 3345, 311, 220, 10680, 11, 931, 21728, 11, 433, 1101, 4375, 439, 264, 50351, 6352, 13, 578, 6978, 617, 311, 4320, 4330, 4860, 311, 636, 264, 2587, 50351, 28782, 13, 220, 16, 12, 4728, 9607, 306, 380, 17501, 279, 6978, 311, 4430, 872, 3217, 323, 3477, 922, 872, 29106, 4034, 13, 55057, 6978, 527, 7701, 28160, 555, 1521, 8544, 627, 14884, 23142, 8349, 311, 617, 927, 220, 22, 3610, 8544, 315, 18653, 1705, 323, 16410, 389, 1202, 2816, 13, 55057, 6978, 649, 1715, 459, 18101, 369, 18653, 1705, 10212, 389, 279, 2816, 13, 1628, 3010, 11, 814, 649, 3477, 279, 50351, 1555, 459, 4228, 1920, 13, 1102, 4519, 1949, 50351, 21542, 323, 2890, 14228, 2262, 369, 6978, 627, 57, 511, 5349, 374, 459, 3062, 50351, 10959, 2816, 1405, 4754, 6978, 649, 2363, 2930, 29106, 37256, 4184, 311, 872, 2778, 19882, 13, 1115, 2816, 17501, 6978, 311, 4430, 872, 3477, 389, 279, 50351, 477, 29106, 2512, 28913, 814, 617, 12263, 13, 1102, 706, 264, 2763, 315, 1023, 4519, 311, 3085, 1093, 29106, 4034, 66697, 13, 3161, 927, 220, 18, 13, 23, 3610, 21728, 11, 433, 374, 459, 3062, 2816, 311, 636, 29106, 8544, 627, 35, 306, 5050, 916, 706, 264, 4029, 4668, 1405, 1972, 18653, 1705, 16681, 449, 279, 4029, 3697, 889, 649, 387, 872, 6484, 477, 4754, 6978, 13, 578, 18653, 1705, 4320, 279, 29106, 4860, 4691, 555, 279, 4029, 3697, 13, 7429, 11, 1070, 374, 459, 3451, 75392, 39348, 23189, 1405, 279, 6335, 18653, 1705, 15870, 3498, 3892, 9908, 389, 1695, 2890, 323, 29106, 2512, 13, 1102, 1101, 4519, 459, 18101, 22615, 5507, 627, 46644, 287, 5196, 311, 387, 832, 315, 279, 1455, 18300, 18985, 3477, 15771, 369, 16410, 11, 10852, 43363, 4131, 1828, 304, 279, 1160, 449, 220, 16, 3610, 27573, 7636, 304, 5587, 220, 679, 24, 13, 1115, 5452, 6276, 6978, 311, 1427, 369, 16410, 323, 18653, 1705, 304, 872, 3158, 323, 9616, 18594, 315, 2204, 12850, 779, 430, 814, 649, 5268, 279, 1888, 832, 13, 44430, 649, 1101, 4430, 872, 3217, 555, 9564, 264, 3477, 323, 10959, 627, 8142, 6978, 649, 656, 682, 430, 11, 18985, 12850, 323, 6725, 20258, 649, 3802, 323, 10299, 10896, 21542, 369, 1949, 13, 2435, 649, 1101, 6013, 311, 8893, 596, 8544, 323, 7417, 8244, 20392, 13, 10852, 43363, 1101, 706, 264, 6875, 315, 2038, 449, 10631, 323, 9650, 311, 1520, 2225, 6978, 323, 16410, 627, 18293, 264, 59314, 5603, 311, 4857, 323, 20958, 701, 2930, 9546, 389, 1521, 50351, 3477, 6732, 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 ]
[ 128000, 11439, 311, 264, 10795, 555, 4476, 55820, 11, 810, 6978, 527, 1701, 2930, 3477, 6732, 311, 3495, 369, 18985, 12850, 13, 220, 6281, 4, 315, 6978, 1005, 2930, 8544, 311, 15806, 12850, 323, 220, 5332, 4, 439, 872, 1176, 3094, 311, 9455, 264, 502, 9287, 13, 7429, 11, 220, 679, 23, 8949, 26262, 10506, 24507, 555, 27508, 7469, 1766, 430, 220, 4218, 4, 315, 13723, 1373, 8544, 369, 2254, 9873, 13, 15636, 11, 20958, 264, 48317, 2930, 9546, 389, 50351, 3477, 6732, 374, 7718, 369, 701, 29106, 6725, 627, 10445, 527, 50351, 3477, 6732, 3062, 5380, 96711, 6978, 690, 2744, 1390, 311, 4034, 264, 50351, 449, 264, 17033, 3839, 3335, 323, 264, 1695, 2930, 17444, 11, 779, 814, 690, 7095, 279, 2038, 323, 8544, 6222, 555, 1023, 6978, 13, 9176, 4754, 6978, 7095, 50351, 10959, 6732, 1418, 15389, 369, 18653, 5050, 3600, 2212, 1124, 13, 15636, 11, 2930, 3477, 6732, 527, 7718, 369, 50351, 17444, 6373, 13, 4718, 2930, 8544, 323, 18594, 389, 1521, 6732, 690, 12391, 701, 19248, 323, 690, 9504, 810, 6978, 311, 701, 28913, 627, 35, 306, 380, 3477, 6732, 649, 1101, 1520, 499, 7417, 701, 6978, 529, 3217, 13, 578, 6978, 529, 8544, 323, 11302, 690, 1095, 499, 1440, 1148, 701, 6978, 527, 7556, 922, 499, 11, 1148, 814, 1781, 477, 1148, 814, 2733, 922, 701, 3600, 13, 763, 420, 1648, 11, 499, 4805, 1440, 1148, 3966, 311, 387, 5614, 13, 1102, 4805, 1520, 499, 1893, 264, 6380, 323, 20097, 8893, 2385, 323, 3139, 701, 6725, 627, 791, 7757, 374, 49886, 449, 11758, 315, 2930, 50351, 3477, 6732, 430, 2187, 6978, 311, 4430, 872, 4443, 3217, 323, 3477, 389, 279, 18653, 5050, 3600, 13, 1226, 617, 20276, 264, 1160, 315, 1948, 3477, 6732, 369, 18653, 1705, 627, 56, 1290, 706, 22763, 439, 832, 315, 279, 26731, 7982, 2930, 3477, 6732, 449, 3345, 311, 220, 9263, 44, 2860, 21728, 304, 279, 1566, 4848, 4038, 13, 1102, 706, 21682, 439, 832, 315, 279, 1888, 2930, 15407, 3529, 1248, 2490, 449, 264, 3831, 15603, 9546, 13, 1666, 264, 12514, 2816, 369, 8405, 2626, 8544, 11, 433, 374, 1633, 5526, 24059, 279, 18653, 1705, 323, 18985, 5064, 13, 1102, 374, 832, 315, 279, 4832, 15771, 311, 636, 8544, 505, 6978, 627, 4599, 433, 4131, 311, 2930, 9546, 11, 1268, 649, 832, 10240, 5195, 0, 1102, 374, 264, 16996, 2626, 3477, 2816, 902, 33511, 279, 2410, 315, 2254, 2626, 26544, 13, 4702, 1093, 5690, 11, 1690, 18653, 1705, 617, 459, 4642, 9546, 389, 5195, 3092, 8184, 2199, 1405, 6978, 4430, 872, 8544, 11, 11302, 323, 1524, 2610, 4860, 5552, 311, 29106, 2890, 477, 3600, 1694, 9076, 13, 1102, 706, 11990, 315, 15613, 11, 779, 433, 11335, 459, 3062, 3560, 304, 50351, 17444, 6373, 627, 16, 12, 4728, 9607, 306, 380, 374, 459, 21416, 5452, 1405, 832, 649, 1505, 264, 1396, 315, 9908, 323, 6946, 389, 29106, 2512, 13, 3161, 3345, 311, 220, 10680, 11, 931, 21728, 11, 433, 1101, 4375, 439, 264, 50351, 6352, 13, 578, 6978, 617, 311, 4320, 4330, 4860, 311, 636, 264, 2587, 50351, 28782, 13, 220, 16, 12, 4728, 9607, 306, 380, 17501, 279, 6978, 311, 4430, 872, 3217, 323, 3477, 922, 872, 29106, 4034, 13, 55057, 6978, 527, 7701, 28160, 555, 1521, 8544, 627, 14884, 23142, 8349, 311, 617, 927, 220, 22, 3610, 8544, 315, 18653, 1705, 323, 16410, 389, 1202, 2816, 13, 55057, 6978, 649, 1715, 459, 18101, 369, 18653, 1705, 10212, 389, 279, 2816, 13, 1628, 3010, 11, 814, 649, 3477, 279, 50351, 1555, 459, 4228, 1920, 13, 1102, 4519, 1949, 50351, 21542, 323, 2890, 14228, 2262, 369, 6978, 627, 57, 511, 5349, 374, 459, 3062, 50351, 10959, 2816, 1405, 4754, 6978, 649, 2363, 2930, 29106, 37256, 4184, 311, 872, 2778, 19882, 13, 1115, 2816, 17501, 6978, 311, 4430, 872, 3477, 389, 279, 50351, 477, 29106, 2512, 28913, 814, 617, 12263, 13, 1102, 706, 264, 2763, 315, 1023, 4519, 311, 3085, 1093, 29106, 4034, 66697, 13, 3161, 927, 220, 18, 13, 23, 3610, 21728, 11, 433, 374, 459, 3062, 2816, 311, 636, 29106, 8544, 627, 35, 306, 5050, 916, 706, 264, 4029, 4668, 1405, 1972, 18653, 1705, 16681, 449, 279, 4029, 3697, 889, 649, 387, 872, 6484, 477, 4754, 6978, 13, 578, 18653, 1705, 4320, 279, 29106, 4860, 4691, 555, 279, 4029, 3697, 13, 7429, 11, 1070, 374, 459, 3451, 75392, 39348, 23189, 1405, 279, 6335, 18653, 1705, 15870, 3498, 3892, 9908, 389, 1695, 2890, 323, 29106, 2512, 13, 1102, 1101, 4519, 459, 18101, 22615, 5507, 627, 46644, 287, 5196, 311, 387, 832, 315, 279, 1455, 18300, 18985, 3477, 15771, 369, 16410, 11, 10852, 43363, 4131, 1828, 304, 279, 1160, 449, 220, 16, 3610, 27573, 7636, 304, 5587, 220, 679, 24, 13, 1115, 5452, 6276, 6978, 311, 1427, 369, 16410, 323, 18653, 1705, 304, 872, 3158, 323, 9616, 18594, 315, 2204, 12850, 779, 430, 814, 649, 5268, 279, 1888, 832, 13, 44430, 649, 1101, 4430, 872, 3217, 555, 9564, 264, 3477, 323, 10959, 627, 8142, 6978, 649, 656, 682, 430, 11, 18985, 12850, 323, 6725, 20258, 649, 3802, 323, 10299, 10896, 21542, 369, 1949, 13, 2435, 649, 1101, 6013, 311, 8893, 596, 8544, 323, 7417, 8244, 20392, 13, 10852, 43363, 1101, 706, 264, 6875, 315, 2038, 449, 10631, 323, 9650, 311, 1520, 2225, 6978, 323, 16410, 627, 18293, 264, 59314, 5603, 311, 4857, 323, 20958, 701, 2930, 9546, 389, 1521, 50351, 3477, 6732, 4999, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 9642, 11, 56578, 374, 28135, 1314, 1606, 499, 690, 617, 16024, 315, 51215, 11, 19788, 323, 98009, 479, 482, 422, 499, 4498, 369, 420, 62024, 4999, 93906, 1082, 6944, 499, 311, 2343, 400, 1135, 369, 279, 1054, 20357, 7572, 315, 7573, 269, 863, 1389, 264, 1633, 3361, 8374, 63670, 2728, 311, 56578, 555, 264, 24632, 8219, 9576, 2663, 7573, 269, 627, 2028, 8374, 63670, 690, 4546, 499, 3021, 11, 23871, 11, 16267, 11, 3300, 11, 1695, 15369, 323, 2450, 627, 3112, 1120, 311, 12391, 430, 433, 753, 2736, 3318, 1202, 11204, 11, 56578, 753, 6661, 374, 24895, 555, 459, 4033, 11801, 430, 499, 617, 2834, 400, 972, 11, 931, 304, 264, 10937, 627, 4071, 499, 527, 264, 1054, 53245, 863, 315, 279, 14580, 22643, 1389, 264, 400, 2031, 11336, 49758, 311, 7782, 56578, 753, 1054, 17100, 287, 8828, 14637, 113068, 6854, 56578, 1005, 1077, 8056, 1054, 359, 1986, 750, 22034, 863, 11298, 13736, 311, 10552, 3249, 499, 1053, 1205, 1077, 1054, 17100, 287, 8828, 14637, 863, 422, 499, 2736, 617, 279, 1054, 20357, 7572, 315, 7573, 269, 863, 5380, 4897, 753, 1606, 11, 323, 1202, 9539, 11224, 304, 279, 7060, 1194, 11, 430, 420, 374, 264, 8518, 20862, 449, 279, 1925, 9395, 315, 22923, 320, 69, 26330, 8, 279, 1054, 20357, 7572, 315, 7573, 269, 113068, 3513, 19201, 11, 1070, 1253, 387, 1023, 11028, 315, 420, 6661, 627, 4518, 810, 922, 1023, 5348, 83, 42747, 529, 64155, 555, 18965, 1618, 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 ]
[ 128000, 9642, 11, 56578, 374, 28135, 1314, 1606, 499, 690, 617, 16024, 315, 51215, 11, 19788, 323, 98009, 479, 482, 422, 499, 4498, 369, 420, 62024, 4999, 93906, 1082, 6944, 499, 311, 2343, 400, 1135, 369, 279, 1054, 20357, 7572, 315, 7573, 269, 863, 1389, 264, 1633, 3361, 8374, 63670, 2728, 311, 56578, 555, 264, 24632, 8219, 9576, 2663, 7573, 269, 627, 2028, 8374, 63670, 690, 4546, 499, 3021, 11, 23871, 11, 16267, 11, 3300, 11, 1695, 15369, 323, 2450, 627, 3112, 1120, 311, 12391, 430, 433, 753, 2736, 3318, 1202, 11204, 11, 56578, 753, 6661, 374, 24895, 555, 459, 4033, 11801, 430, 499, 617, 2834, 400, 972, 11, 931, 304, 264, 10937, 627, 4071, 499, 527, 264, 1054, 53245, 863, 315, 279, 14580, 22643, 1389, 264, 400, 2031, 11336, 49758, 311, 7782, 56578, 753, 1054, 17100, 287, 8828, 14637, 113068, 6854, 56578, 1005, 1077, 8056, 1054, 359, 1986, 750, 22034, 863, 11298, 13736, 311, 10552, 3249, 499, 1053, 1205, 1077, 1054, 17100, 287, 8828, 14637, 863, 422, 499, 2736, 617, 279, 1054, 20357, 7572, 315, 7573, 269, 863, 5380, 4897, 753, 1606, 11, 323, 1202, 9539, 11224, 304, 279, 7060, 1194, 11, 430, 420, 374, 264, 8518, 20862, 449, 279, 1925, 9395, 315, 22923, 320, 69, 26330, 8, 279, 1054, 20357, 7572, 315, 7573, 269, 113068, 3513, 19201, 11, 1070, 1253, 387, 1023, 11028, 315, 420, 6661, 627, 4518, 810, 922, 1023, 5348, 83, 42747, 529, 64155, 555, 18965, 1618, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 1966, 813, 1176, 2539, 1938, 439, 7829, 19607, 7957, 393, 399, 616, 706, 12263, 279, 16591, 17772, 11166, 389, 279, 4987, 8715, 627, 32, 4846, 3361, 37713, 311, 19036, 42969, 11, 393, 399, 616, 706, 1027, 459, 9599, 2533, 220, 1049, 16, 323, 706, 10434, 439, 264, 27144, 13015, 520, 279, 6011, 369, 21023, 11, 7972, 323, 18707, 320, 5744, 4931, 8, 439, 1664, 439, 279, 6011, 369, 5664, 323, 393, 4769, 627, 2028, 2046, 568, 574, 7086, 439, 350, 26577, 622, 80599, 596, 34665, 439, 19607, 315, 1614, 369, 7829, 11, 3772, 323, 10775, 627, 9014, 2299, 7833, 505, 264, 22685, 6574, 520, 220, 605, 84779, 6825, 11, 7957, 393, 399, 616, 574, 2728, 264, 7364, 315, 279, 16591, 17772, 11166, 555, 4987, 17469, 14821, 10388, 11145, 8096, 38206, 627, 791, 13015, 37260, 369, 9364, 304, 279, 54406, 2411, 1405, 279, 6566, 574, 1694, 10235, 369, 6740, 3814, 596, 23061, 1115, 374, 56096, 11, 264, 4632, 922, 279, 3925, 315, 279, 4987, 8715, 19071, 12541, 505, 279, 17772, 315, 13527, 311, 279, 3118, 1938, 627, 791, 3293, 56756, 16409, 315, 279, 4987, 8715, 21497, 14321, 574, 28135, 24853, 555, 279, 11162, 4931, 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 ]
[ 128000, 1966, 813, 1176, 2539, 1938, 439, 7829, 19607, 7957, 393, 399, 616, 706, 12263, 279, 16591, 17772, 11166, 389, 279, 4987, 8715, 627, 32, 4846, 3361, 37713, 311, 19036, 42969, 11, 393, 399, 616, 706, 1027, 459, 9599, 2533, 220, 1049, 16, 323, 706, 10434, 439, 264, 27144, 13015, 520, 279, 6011, 369, 21023, 11, 7972, 323, 18707, 320, 5744, 4931, 8, 439, 1664, 439, 279, 6011, 369, 5664, 323, 393, 4769, 627, 2028, 2046, 568, 574, 7086, 439, 350, 26577, 622, 80599, 596, 34665, 439, 19607, 315, 1614, 369, 7829, 11, 3772, 323, 10775, 627, 9014, 2299, 7833, 505, 264, 22685, 6574, 520, 220, 605, 84779, 6825, 11, 7957, 393, 399, 616, 574, 2728, 264, 7364, 315, 279, 16591, 17772, 11166, 555, 4987, 17469, 14821, 10388, 11145, 8096, 38206, 627, 791, 13015, 37260, 369, 9364, 304, 279, 54406, 2411, 1405, 279, 6566, 574, 1694, 10235, 369, 6740, 3814, 596, 23061, 1115, 374, 56096, 11, 264, 4632, 922, 279, 3925, 315, 279, 4987, 8715, 19071, 12541, 505, 279, 17772, 315, 13527, 311, 279, 3118, 1938, 627, 791, 3293, 56756, 16409, 315, 279, 4987, 8715, 21497, 14321, 574, 28135, 24853, 555, 279, 11162, 4931, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 64584, 39397, 25, 1472, 527, 2728, 264, 10652, 1990, 1403, 1274, 13, 364, 10909, 16, 4989, 323, 364, 10909, 17, 4989, 527, 1511, 311, 8821, 872, 20081, 7402, 1157, 13, 1442, 279, 10652, 12302, 449, 264, 3488, 11, 2440, 433, 364, 16, 6, 6062, 364, 15, 24482, 10031, 832, 3187, 3770, 512, 32298, 25, 7508, 16, 25, 257, 67900, 1174, 4587, 1174, 13088, 309, 662, 720, 7508, 17, 25, 4702, 264, 9568, 1174, 4587, 662, 1102, 596, 304, 856, 9145, 662, 5810, 433, 374, 662, 720, 7508, 16, 25, 257, 9930, 499, 662, 5321, 5266, 704, 279, 20287, 15292, 42021, 3459, 662, 720, 7508, 17, 25, 2052, 1314, 662, 86561, 358, 3810, 682, 856, 64028, 949, 720, 7508, 16, 25, 257, 2360, 1174, 1193, 279, 9908, 10212, 389, 279, 42021, 662, 720, 37942, 25, 220, 15, 198, 70869, 25, 578, 1176, 11914, 304, 279, 10652, 12302, 449, 264, 1715, 11, 9093, 1070, 374, 912, 9546, 315, 264, 3488, 382, 32298, 25, 220, 7508, 16, 25, 257, 358, 1440, 358, 2846, 264, 1529, 370, 655, 33780, 1174, 719, 1148, 656, 499, 1781, 1364, 1288, 656, 1174, 3842, 949, 720, 7508, 17, 25, 220, 40715, 1174, 584, 2351, 304, 279, 24925, 1457, 662, 1226, 2351, 539, 1618, 311, 4358, 701, 61068, 261, 596, 3021, 2324, 662, 1226, 2351, 1618, 311, 4774, 279, 2294, 36692, 555, 67283, 758, 720, 7508, 16, 25, 415, 358, 1440, 758, 2030, 433, 596, 2216, 3062, 311, 1077, 758, 6385, 4459, 2324, 1436, 387, 47168, 555, 420, 893, 758, 720, 7508, 17, 25, 220, 1472, 2351, 3339, 264, 6918, 1162, 704, 315, 433, 662, 3861, 53808, 3021, 31017, 649, 956, 38339, 4205, 662, 1102, 1436, 1524, 1304, 701, 2324, 810, 7185, 662, 720, 7508, 16, 25, 415, 8886, 499, 6129, 1174, 3842, 949, 720, 7508, 17, 25, 220, 2052, 358, 2846, 4560, 311, 2019, 374, 430, 2324, 374, 2564, 1093, 2564, 2781, 2564, 420, 19354, 662, 720, 37942, 512, 16, 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 ]
[ 128000, 64584, 39397, 25, 1472, 527, 2728, 264, 10652, 1990, 1403, 1274, 13, 364, 10909, 16, 4989, 323, 364, 10909, 17, 4989, 527, 1511, 311, 8821, 872, 20081, 7402, 1157, 13, 1442, 279, 10652, 12302, 449, 264, 3488, 11, 2440, 433, 364, 16, 6, 6062, 364, 15, 24482, 10031, 832, 3187, 3770, 512, 32298, 25, 7508, 16, 25, 257, 67900, 1174, 4587, 1174, 13088, 309, 662, 720, 7508, 17, 25, 4702, 264, 9568, 1174, 4587, 662, 1102, 596, 304, 856, 9145, 662, 5810, 433, 374, 662, 720, 7508, 16, 25, 257, 9930, 499, 662, 5321, 5266, 704, 279, 20287, 15292, 42021, 3459, 662, 720, 7508, 17, 25, 2052, 1314, 662, 86561, 358, 3810, 682, 856, 64028, 949, 720, 7508, 16, 25, 257, 2360, 1174, 1193, 279, 9908, 10212, 389, 279, 42021, 662, 720, 37942, 25, 220, 15, 198, 70869, 25, 578, 1176, 11914, 304, 279, 10652, 12302, 449, 264, 1715, 11, 9093, 1070, 374, 912, 9546, 315, 264, 3488, 382, 32298, 25, 220, 7508, 16, 25, 257, 358, 1440, 358, 2846, 264, 1529, 370, 655, 33780, 1174, 719, 1148, 656, 499, 1781, 1364, 1288, 656, 1174, 3842, 949, 720, 7508, 17, 25, 220, 40715, 1174, 584, 2351, 304, 279, 24925, 1457, 662, 1226, 2351, 539, 1618, 311, 4358, 701, 61068, 261, 596, 3021, 2324, 662, 1226, 2351, 1618, 311, 4774, 279, 2294, 36692, 555, 67283, 758, 720, 7508, 16, 25, 415, 358, 1440, 758, 2030, 433, 596, 2216, 3062, 311, 1077, 758, 6385, 4459, 2324, 1436, 387, 47168, 555, 420, 893, 758, 720, 7508, 17, 25, 220, 1472, 2351, 3339, 264, 6918, 1162, 704, 315, 433, 662, 3861, 53808, 3021, 31017, 649, 956, 38339, 4205, 662, 1102, 1436, 1524, 1304, 701, 2324, 810, 7185, 662, 720, 7508, 16, 25, 415, 8886, 499, 6129, 1174, 3842, 949, 720, 7508, 17, 25, 220, 2052, 358, 2846, 4560, 311, 2019, 374, 430, 2324, 374, 2564, 1093, 2564, 2781, 2564, 420, 19354, 662, 720, 37942, 512, 16, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 2028, 2046, 11, 279, 1561, 4356, 17283, 96880, 20802, 311, 19768, 369, 264, 23072, 33467, 69913, 4121, 430, 690, 1304, 5199, 4442, 311, 1268, 19602, 28483, 374, 15312, 660, 304, 1561, 4356, 3314, 627, 1687, 1862, 279, 33436, 323, 1005, 315, 682, 5897, 51236, 2403, 904, 31072, 430, 37304, 323, 690, 3725, 1587, 539, 2343, 279, 8475, 23998, 323, 7720, 311, 8420, 13, 4452, 11, 420, 4121, 11705, 264, 502, 879, 1314, 315, 1957, 323, 7612, 2167, 33840, 311, 2343, 904, 23998, 11, 55907, 7720, 11, 477, 1023, 8935, 14507, 477, 19564, 49009, 555, 264, 1670, 287, 95479, 269, 323, 374, 17693, 48008, 13, 1115, 690, 2231, 4689, 33840, 520, 5326, 315, 3515, 311, 2343, 11157, 369, 279, 1890, 990, 323, 690, 1893, 35306, 39725, 13, 4314, 48832, 323, 26225, 7194, 690, 1193, 52875, 349, 279, 17049, 323, 3157, 4478, 11983, 11501, 304, 279, 1614, 627, 791, 4121, 22204, 430, 682, 4689, 323, 95479, 1105, 690, 3725, 323, 68113, 711, 99057, 872, 7487, 315, 23998, 323, 7720, 13, 763, 28591, 11, 499, 3207, 16390, 439, 11684, 323, 617, 2697, 5845, 311, 10726, 6261, 13, 3639, 279, 4121, 3966, 311, 25670, 323, 7124, 527, 279, 1695, 10082, 9045, 315, 682, 33840, 311, 6106, 872, 7487, 5371, 279, 6300, 23998, 323, 7720, 304, 1148, 1690, 690, 7655, 374, 264, 17395, 323, 31715, 743, 315, 5718, 323, 7016, 430, 2633, 61129, 19602, 990, 13, 23212, 11, 3744, 435, 1785, 315, 279, 220, 2366, 15, 12, 1691, 1561, 4356, 3314, 28368, 9749, 430, 279, 61129, 19602, 387, 7318, 389, 3738, 8246, 7224, 7318, 369, 304, 4459, 477, 304, 961, 449, 586, 10736, 13, 578, 10824, 315, 430, 502, 2383, 323, 420, 4121, 690, 1893, 264, 31715, 743, 315, 8670, 902, 690, 1304, 279, 15194, 1524, 810, 5107, 627, 31428, 11, 279, 4121, 2389, 388, 7353, 11509, 389, 264, 1396, 315, 11434, 323, 15086, 389, 17981, 315, 279, 11754, 7487, 311, 1052, 264, 12458, 13, 6104, 35482, 11, 279, 29101, 323, 8990, 315, 1521, 5157, 1288, 7293, 1193, 449, 279, 30454, 315, 279, 6011, 315, 15277, 11, 279, 18919, 3331, 315, 1561, 4356, 11, 323, 2254, 11182, 7867, 27910, 13, 3296, 10923, 2500, 1732, 477, 5502, 311, 1052, 389, 279, 17981, 315, 264, 12128, 16264, 279, 6134, 369, 653, 26121, 455, 13850, 11434, 430, 1935, 9610, 315, 279, 12128, 323, 13893, 27669, 904, 17516, 477, 29057, 11857, 1148, 279, 12128, 21879, 555, 4737, 26225, 2532, 48136, 12718, 627, 791, 4121, 1101, 1587, 539, 5813, 904, 35372, 315, 20893, 8617, 10923, 1521, 5157, 311, 13334, 5655, 1139, 279, 3938, 13, 1102, 374, 44085, 430, 1667, 1523, 279, 5754, 264, 4689, 477, 95479, 269, 690, 15187, 387, 17011, 449, 5897, 1957, 568, 57695, 369, 2555, 814, 1047, 912, 4623, 10222, 627, 2170, 1561, 4356, 12302, 311, 34044, 505, 279, 77069, 2919, 315, 279, 28522, 11, 1405, 279, 24245, 323, 47126, 54466, 1390, 311, 2793, 304, 14054, 11, 584, 1288, 387, 3815, 4395, 584, 649, 311, 15253, 279, 6650, 315, 279, 5064, 13, 5751, 8850, 374, 13543, 1093, 420, 690, 1193, 6678, 33840, 3201, 505, 1561, 4356, 323, 7781, 1057, 13654, 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 ]
[ 128000, 2028, 2046, 11, 279, 1561, 4356, 17283, 96880, 20802, 311, 19768, 369, 264, 23072, 33467, 69913, 4121, 430, 690, 1304, 5199, 4442, 311, 1268, 19602, 28483, 374, 15312, 660, 304, 1561, 4356, 3314, 627, 1687, 1862, 279, 33436, 323, 1005, 315, 682, 5897, 51236, 2403, 904, 31072, 430, 37304, 323, 690, 3725, 1587, 539, 2343, 279, 8475, 23998, 323, 7720, 311, 8420, 13, 4452, 11, 420, 4121, 11705, 264, 502, 879, 1314, 315, 1957, 323, 7612, 2167, 33840, 311, 2343, 904, 23998, 11, 55907, 7720, 11, 477, 1023, 8935, 14507, 477, 19564, 49009, 555, 264, 1670, 287, 95479, 269, 323, 374, 17693, 48008, 13, 1115, 690, 2231, 4689, 33840, 520, 5326, 315, 3515, 311, 2343, 11157, 369, 279, 1890, 990, 323, 690, 1893, 35306, 39725, 13, 4314, 48832, 323, 26225, 7194, 690, 1193, 52875, 349, 279, 17049, 323, 3157, 4478, 11983, 11501, 304, 279, 1614, 627, 791, 4121, 22204, 430, 682, 4689, 323, 95479, 1105, 690, 3725, 323, 68113, 711, 99057, 872, 7487, 315, 23998, 323, 7720, 13, 763, 28591, 11, 499, 3207, 16390, 439, 11684, 323, 617, 2697, 5845, 311, 10726, 6261, 13, 3639, 279, 4121, 3966, 311, 25670, 323, 7124, 527, 279, 1695, 10082, 9045, 315, 682, 33840, 311, 6106, 872, 7487, 5371, 279, 6300, 23998, 323, 7720, 304, 1148, 1690, 690, 7655, 374, 264, 17395, 323, 31715, 743, 315, 5718, 323, 7016, 430, 2633, 61129, 19602, 990, 13, 23212, 11, 3744, 435, 1785, 315, 279, 220, 2366, 15, 12, 1691, 1561, 4356, 3314, 28368, 9749, 430, 279, 61129, 19602, 387, 7318, 389, 3738, 8246, 7224, 7318, 369, 304, 4459, 477, 304, 961, 449, 586, 10736, 13, 578, 10824, 315, 430, 502, 2383, 323, 420, 4121, 690, 1893, 264, 31715, 743, 315, 8670, 902, 690, 1304, 279, 15194, 1524, 810, 5107, 627, 31428, 11, 279, 4121, 2389, 388, 7353, 11509, 389, 264, 1396, 315, 11434, 323, 15086, 389, 17981, 315, 279, 11754, 7487, 311, 1052, 264, 12458, 13, 6104, 35482, 11, 279, 29101, 323, 8990, 315, 1521, 5157, 1288, 7293, 1193, 449, 279, 30454, 315, 279, 6011, 315, 15277, 11, 279, 18919, 3331, 315, 1561, 4356, 11, 323, 2254, 11182, 7867, 27910, 13, 3296, 10923, 2500, 1732, 477, 5502, 311, 1052, 389, 279, 17981, 315, 264, 12128, 16264, 279, 6134, 369, 653, 26121, 455, 13850, 11434, 430, 1935, 9610, 315, 279, 12128, 323, 13893, 27669, 904, 17516, 477, 29057, 11857, 1148, 279, 12128, 21879, 555, 4737, 26225, 2532, 48136, 12718, 627, 791, 4121, 1101, 1587, 539, 5813, 904, 35372, 315, 20893, 8617, 10923, 1521, 5157, 311, 13334, 5655, 1139, 279, 3938, 13, 1102, 374, 44085, 430, 1667, 1523, 279, 5754, 264, 4689, 477, 95479, 269, 690, 15187, 387, 17011, 449, 5897, 1957, 568, 57695, 369, 2555, 814, 1047, 912, 4623, 10222, 627, 2170, 1561, 4356, 12302, 311, 34044, 505, 279, 77069, 2919, 315, 279, 28522, 11, 1405, 279, 24245, 323, 47126, 54466, 1390, 311, 2793, 304, 14054, 11, 584, 1288, 387, 3815, 4395, 584, 649, 311, 15253, 279, 6650, 315, 279, 5064, 13, 5751, 8850, 374, 13543, 1093, 420, 690, 1193, 6678, 33840, 3201, 505, 1561, 4356, 323, 7781, 1057, 13654, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 40, 10712, 430, 520, 279, 4732, 315, 3177, 433, 690, 1304, 904, 6811, 382, 791, 2612, 323, 1988, 315, 4907, 527, 279, 1890, 912, 5030, 279, 14994, 13, 578, 1193, 6811, 374, 279, 14994, 3160, 11, 220, 719, 1306, 220, 15, 13, 931, 931, 931, 931, 2304, 6622, 11, 279, 220, 4641, 690, 387, 12588, 520, 279, 1890, 4732, 279, 45669, 374, 2612, 1303, 382, 644, 1023, 4339, 11, 422, 279, 45669, 16674, 220, 16, 5089, 824, 2132, 11, 1306, 430, 1176, 5089, 30782, 11, 279, 4641, 690, 1101, 5371, 220, 16, 5089, 824, 2132, 422, 279, 6530, 374, 6926, 13, 578, 6138, 315, 279, 14994, 1193, 13146, 304, 279, 1633, 2410, 709, 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 ]
[ 128000, 40, 10712, 430, 520, 279, 4732, 315, 3177, 433, 690, 1304, 904, 6811, 382, 791, 2612, 323, 1988, 315, 4907, 527, 279, 1890, 912, 5030, 279, 14994, 13, 578, 1193, 6811, 374, 279, 14994, 3160, 11, 220, 719, 1306, 220, 15, 13, 931, 931, 931, 931, 2304, 6622, 11, 279, 220, 4641, 690, 387, 12588, 520, 279, 1890, 4732, 279, 45669, 374, 2612, 1303, 382, 644, 1023, 4339, 11, 422, 279, 45669, 16674, 220, 16, 5089, 824, 2132, 11, 1306, 430, 1176, 5089, 30782, 11, 279, 4641, 690, 1101, 5371, 220, 16, 5089, 824, 2132, 422, 279, 6530, 374, 6926, 13, 578, 6138, 315, 279, 14994, 1193, 13146, 304, 279, 1633, 2410, 709, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115 ]
116
[ 128000, 36190, 753, 6193, 220, 966, 220, 21, 6830, 6354, 579, 220, 679, 19, 1389, 2175, 763, 4999, 644, 3280, 220, 679, 19, 279, 17355, 3804, 324, 1302, 21424, 10229, 320, 2507, 3711, 8, 690, 387, 10209, 264, 11215, 753, 507, 966, 220, 21, 7561, 25034, 9178, 10966, 13, 578, 3278, 753, 10966, 690, 1935, 2035, 389, 7884, 1306, 2201, 2439, 11, 4857, 389, 279, 6992, 18178, 2068, 11887, 304, 220, 679, 18, 627, 791, 7580, 315, 279, 220, 21, 7561, 25034, 10966, 374, 311, 1893, 264, 2753, 16287, 10966, 449, 2753, 25679, 389, 3135, 323, 264, 7191, 25679, 389, 20852, 323, 3451, 69666, 264, 1629, 529, 449, 1063, 4885, 627, 71207, 12920, 690, 387, 8774, 11, 719, 279, 3119, 3711, 2834, 1431, 387, 10292, 287, 54544, 627, 5002, 65471, 1053, 3021, 279, 6776, 311, 2115, 264, 2128, 304, 420, 10966, 11, 779, 439, 459, 36210, 279, 10349, 374, 6376, 279, 2851, 12718, 520, 264, 1633, 3428, 400, 8848, 320, 269, 400, 1049, 422, 499, 1935, 709, 279, 4216, 12224, 11336, 902, 29002, 389, 279, 220, 1691, 7552, 220, 679, 19, 4390, 2746, 499, 527, 520, 682, 8173, 4587, 4254, 13, 3277, 433, 4131, 311, 12798, 5268, 1054, 53192, 21085, 11453, 763, 420, 1648, 279, 6469, 649, 8417, 422, 584, 617, 3403, 5219, 323, 499, 527, 539, 3686, 11411, 39075, 627, 29089, 77, 1431, 433, 387, 2294, 311, 2019, 499, 1051, 961, 315, 279, 1633, 1176, 426, 9150, 6897, 11215, 753, 2128, 4999, 8780, 665, 18164, 4587, 3708, 311, 279, 11215, 753, 43424, 477, 12667, 389, 279, 19015, 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 ]
[ 128000, 36190, 753, 6193, 220, 966, 220, 21, 6830, 6354, 579, 220, 679, 19, 1389, 2175, 763, 4999, 644, 3280, 220, 679, 19, 279, 17355, 3804, 324, 1302, 21424, 10229, 320, 2507, 3711, 8, 690, 387, 10209, 264, 11215, 753, 507, 966, 220, 21, 7561, 25034, 9178, 10966, 13, 578, 3278, 753, 10966, 690, 1935, 2035, 389, 7884, 1306, 2201, 2439, 11, 4857, 389, 279, 6992, 18178, 2068, 11887, 304, 220, 679, 18, 627, 791, 7580, 315, 279, 220, 21, 7561, 25034, 10966, 374, 311, 1893, 264, 2753, 16287, 10966, 449, 2753, 25679, 389, 3135, 323, 264, 7191, 25679, 389, 20852, 323, 3451, 69666, 264, 1629, 529, 449, 1063, 4885, 627, 71207, 12920, 690, 387, 8774, 11, 719, 279, 3119, 3711, 2834, 1431, 387, 10292, 287, 54544, 627, 5002, 65471, 1053, 3021, 279, 6776, 311, 2115, 264, 2128, 304, 420, 10966, 11, 779, 439, 459, 36210, 279, 10349, 374, 6376, 279, 2851, 12718, 520, 264, 1633, 3428, 400, 8848, 320, 269, 400, 1049, 422, 499, 1935, 709, 279, 4216, 12224, 11336, 902, 29002, 389, 279, 220, 1691, 7552, 220, 679, 19, 4390, 2746, 499, 527, 520, 682, 8173, 4587, 4254, 13, 3277, 433, 4131, 311, 12798, 5268, 1054, 53192, 21085, 11453, 763, 420, 1648, 279, 6469, 649, 8417, 422, 584, 617, 3403, 5219, 323, 499, 527, 539, 3686, 11411, 39075, 627, 29089, 77, 1431, 433, 387, 2294, 311, 2019, 499, 1051, 961, 315, 279, 1633, 1176, 426, 9150, 6897, 11215, 753, 2128, 4999, 8780, 665, 18164, 4587, 3708, 311, 279, 11215, 753, 43424, 477, 12667, 389, 279, 19015, 2199, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 1383, 6898, 2003, 6672, 356, 627, 11087, 311, 15661, 13, 3092, 15661, 13, 7531, 279, 3956, 499, 2351, 15194, 1618, 13, 12292, 682, 13711, 13, 2947, 441, 3279, 41624, 7327, 627, 20002, 2617, 5856, 62770, 12604, 13, 7984, 648, 65, 7420, 62039, 13, 8339, 3467, 13, 5210, 374, 539, 66982, 369, 1521, 3135, 13, 82188, 24435, 304, 1057, 12185, 2068, 1253, 3493, 2027, 2038, 2737, 21913, 13, 15281, 810, 922, 5761, 84984, 4028, 5210, 13, 34131, 11, 423, 13, 1226, 527, 14931, 11, 2555, 4024, 5076, 13, 5761, 3779, 311, 701, 72762, 4999, 860, 72762, 7220, 304, 311, 1518, 701, 6924, 3956, 389, 904, 3756, 13, 5761, 7108, 505, 701, 72762, 0, 25681, 4024, 5076, 13, 5321, 1456, 1578, 3010, 627, 2028, 11612, 2363, 5825, 16195, 10401, 315, 279, 502, 3279, 41624, 7327, 23186, 937, 26185, 449, 33824, 11, 6625, 41961, 323, 1862, 520, 1202, 6332, 13, 1102, 374, 6319, 311, 8312, 4236, 449, 279, 1888, 18459, 3284, 369, 279, 24481, 17406, 50521, 7151, 6725, 6957, 11, 449, 89142, 24493, 23783, 11, 7151, 6725, 323, 6975, 12399, 14491, 13, 17262, 398, 3708, 757, 279, 2723, 422, 499, 617, 433, 13, 11361, 2967, 13, 9930, 499, 779, 1790, 80395, 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 ]
[ 128000, 1383, 6898, 2003, 6672, 356, 627, 11087, 311, 15661, 13, 3092, 15661, 13, 7531, 279, 3956, 499, 2351, 15194, 1618, 13, 12292, 682, 13711, 13, 2947, 441, 3279, 41624, 7327, 627, 20002, 2617, 5856, 62770, 12604, 13, 7984, 648, 65, 7420, 62039, 13, 8339, 3467, 13, 5210, 374, 539, 66982, 369, 1521, 3135, 13, 82188, 24435, 304, 1057, 12185, 2068, 1253, 3493, 2027, 2038, 2737, 21913, 13, 15281, 810, 922, 5761, 84984, 4028, 5210, 13, 34131, 11, 423, 13, 1226, 527, 14931, 11, 2555, 4024, 5076, 13, 5761, 3779, 311, 701, 72762, 4999, 860, 72762, 7220, 304, 311, 1518, 701, 6924, 3956, 389, 904, 3756, 13, 5761, 7108, 505, 701, 72762, 0, 25681, 4024, 5076, 13, 5321, 1456, 1578, 3010, 627, 2028, 11612, 2363, 5825, 16195, 10401, 315, 279, 502, 3279, 41624, 7327, 23186, 937, 26185, 449, 33824, 11, 6625, 41961, 323, 1862, 520, 1202, 6332, 13, 1102, 374, 6319, 311, 8312, 4236, 449, 279, 1888, 18459, 3284, 369, 279, 24481, 17406, 50521, 7151, 6725, 6957, 11, 449, 89142, 24493, 23783, 11, 7151, 6725, 323, 6975, 12399, 14491, 13, 17262, 398, 3708, 757, 279, 2723, 422, 499, 617, 433, 13, 11361, 2967, 13, 9930, 499, 779, 1790, 80395, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 11382, 1215, 389, 264, 35494, 362, 846, 271, 40, 1373, 1555, 1455, 315, 279, 8158, 389, 420, 1207, 1566, 3814, 323, 16089, 311, 1505, 499, 682, 13, 358, 3077, 1027, 264, 961, 315, 864, 36623, 323, 18678, 369, 1063, 892, 11, 719, 433, 596, 682, 1027, 810, 477, 2753, 32887, 369, 757, 53327, 382, 11649, 11, 358, 2846, 304, 279, 1920, 315, 15676, 320, 9468, 97, 252, 8, 389, 264, 13987, 2697, 46722, 389, 264, 35494, 362, 846, 323, 856, 9293, 706, 1027, 28219, 1139, 8903, 382, 2181, 596, 14738, 315, 264, 19624, 4029, 11, 779, 1070, 596, 264, 2678, 10707, 3913, 1746, 14415, 8, 323, 358, 2846, 389, 513, 27330, 11, 1664, 11, 323, 5707, 8798, 13, 2030, 1070, 596, 19228, 14932, 757, 389, 682, 11314, 389, 30293, 30387, 2678, 10283, 382, 5159, 1176, 3094, 374, 2133, 311, 387, 311, 1505, 279, 2254, 34324, 358, 649, 2592, 439, 1790, 439, 358, 649, 10150, 311, 11, 23127, 387, 3025, 311, 1893, 264, 5133, 449, 1124, 13, 578, 20085, 1288, 387, 1695, 3403, 311, 13863, 11, 902, 358, 617, 2884, 1603, 449, 24070, 2450, 320, 44466, 6975, 570, 13596, 3245, 358, 1755, 311, 656, 24210, 4751, 374, 4685, 11422, 18340, 5153, 311, 264, 4526, 20929, 369, 13147, 1005, 323, 63566, 13, 5884, 10631, 477, 6170, 389, 430, 1053, 387, 2294, 382, 42094, 4751, 11, 1524, 3582, 358, 2846, 389, 513, 27330, 11, 358, 4265, 1093, 311, 1518, 922, 18004, 3090, 6067, 311, 13334, 279, 2324, 315, 279, 513, 27330, 11, 8051, 358, 1205, 311, 4048, 810, 1606, 1070, 596, 4762, 264, 8187, 1988, 4017, 369, 279, 24032, 311, 41972, 320, 275, 596, 1120, 757, 570, 358, 13085, 264, 1887, 1405, 433, 220, 52307, 1139, 2500, 20929, 323, 1243, 73599, 63566, 5238, 3060, 1139, 856, 10068, 7230, 17720, 13863, 477, 1120, 77810, 26326, 30, 358, 2846, 11920, 922, 779, 2690, 13, 358, 3077, 15746, 1063, 6946, 430, 1051, 810, 922, 14028, 49449, 1109, 98536, 10334, 11, 902, 374, 810, 1148, 358, 1205, 1457, 369, 2955, 13, 5884, 10631, 477, 6170, 389, 1521, 2574, 1053, 387, 8056, 382, 6720, 261, 4751, 11, 358, 1390, 311, 636, 389, 13238, 13, 763, 856, 1614, 499, 649, 636, 13238, 10487, 369, 1949, 719, 499, 2834, 956, 1866, 4205, 11, 617, 311, 1879, 264, 220, 914, 1060, 26120, 11, 323, 1418, 701, 4907, 4121, 690, 387, 4827, 11, 499, 527, 2631, 555, 2383, 311, 9229, 2410, 422, 279, 1925, 5950, 33291, 2410, 311, 6144, 279, 7487, 477, 2555, 13, 2100, 11, 1418, 358, 4265, 10932, 279, 19523, 1457, 11, 433, 5084, 1093, 264, 3958, 3568, 13, 358, 1205, 311, 4048, 1268, 13238, 2410, 6067, 990, 449, 27360, 323, 14224, 690, 1205, 6864, 311, 636, 430, 743, 709, 13, 5884, 9650, 389, 420, 374, 6908, 11, 358, 2846, 43206, 555, 420, 6566, 382, 23025, 527, 279, 1925, 2574, 358, 2846, 7422, 922, 1314, 1457, 11, 1120, 3411, 369, 10652, 13, 9930, 499, 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 ]
[ 128000, 11382, 1215, 389, 264, 35494, 362, 846, 271, 40, 1373, 1555, 1455, 315, 279, 8158, 389, 420, 1207, 1566, 3814, 323, 16089, 311, 1505, 499, 682, 13, 358, 3077, 1027, 264, 961, 315, 864, 36623, 323, 18678, 369, 1063, 892, 11, 719, 433, 596, 682, 1027, 810, 477, 2753, 32887, 369, 757, 53327, 382, 11649, 11, 358, 2846, 304, 279, 1920, 315, 15676, 320, 9468, 97, 252, 8, 389, 264, 13987, 2697, 46722, 389, 264, 35494, 362, 846, 323, 856, 9293, 706, 1027, 28219, 1139, 8903, 382, 2181, 596, 14738, 315, 264, 19624, 4029, 11, 779, 1070, 596, 264, 2678, 10707, 3913, 1746, 14415, 8, 323, 358, 2846, 389, 513, 27330, 11, 1664, 11, 323, 5707, 8798, 13, 2030, 1070, 596, 19228, 14932, 757, 389, 682, 11314, 389, 30293, 30387, 2678, 10283, 382, 5159, 1176, 3094, 374, 2133, 311, 387, 311, 1505, 279, 2254, 34324, 358, 649, 2592, 439, 1790, 439, 358, 649, 10150, 311, 11, 23127, 387, 3025, 311, 1893, 264, 5133, 449, 1124, 13, 578, 20085, 1288, 387, 1695, 3403, 311, 13863, 11, 902, 358, 617, 2884, 1603, 449, 24070, 2450, 320, 44466, 6975, 570, 13596, 3245, 358, 1755, 311, 656, 24210, 4751, 374, 4685, 11422, 18340, 5153, 311, 264, 4526, 20929, 369, 13147, 1005, 323, 63566, 13, 5884, 10631, 477, 6170, 389, 430, 1053, 387, 2294, 382, 42094, 4751, 11, 1524, 3582, 358, 2846, 389, 513, 27330, 11, 358, 4265, 1093, 311, 1518, 922, 18004, 3090, 6067, 311, 13334, 279, 2324, 315, 279, 513, 27330, 11, 8051, 358, 1205, 311, 4048, 810, 1606, 1070, 596, 4762, 264, 8187, 1988, 4017, 369, 279, 24032, 311, 41972, 320, 275, 596, 1120, 757, 570, 358, 13085, 264, 1887, 1405, 433, 220, 52307, 1139, 2500, 20929, 323, 1243, 73599, 63566, 5238, 3060, 1139, 856, 10068, 7230, 17720, 13863, 477, 1120, 77810, 26326, 30, 358, 2846, 11920, 922, 779, 2690, 13, 358, 3077, 15746, 1063, 6946, 430, 1051, 810, 922, 14028, 49449, 1109, 98536, 10334, 11, 902, 374, 810, 1148, 358, 1205, 1457, 369, 2955, 13, 5884, 10631, 477, 6170, 389, 1521, 2574, 1053, 387, 8056, 382, 6720, 261, 4751, 11, 358, 1390, 311, 636, 389, 13238, 13, 763, 856, 1614, 499, 649, 636, 13238, 10487, 369, 1949, 719, 499, 2834, 956, 1866, 4205, 11, 617, 311, 1879, 264, 220, 914, 1060, 26120, 11, 323, 1418, 701, 4907, 4121, 690, 387, 4827, 11, 499, 527, 2631, 555, 2383, 311, 9229, 2410, 422, 279, 1925, 5950, 33291, 2410, 311, 6144, 279, 7487, 477, 2555, 13, 2100, 11, 1418, 358, 4265, 10932, 279, 19523, 1457, 11, 433, 5084, 1093, 264, 3958, 3568, 13, 358, 1205, 311, 4048, 1268, 13238, 2410, 6067, 990, 449, 27360, 323, 14224, 690, 1205, 6864, 311, 636, 430, 743, 709, 13, 5884, 9650, 389, 420, 374, 6908, 11, 358, 2846, 43206, 555, 420, 6566, 382, 23025, 527, 279, 1925, 2574, 358, 2846, 7422, 922, 1314, 1457, 11, 1120, 3411, 369, 10652, 13, 9930, 499, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 2181, 596, 2744, 6555, 311, 1518, 93970, 18667, 8603, 449, 1023, 24190, 311, 9407, 872, 4917, 64947, 13, 40612, 279, 17781, 14588, 523, 2690, 617, 43770, 709, 449, 36956, 36608, 93872, 323, 356, 4594, 369, 279, 65555, 13201, 12806, 1216, 13179, 89195, 369, 7839, 34484, 10563, 323, 1457, 814, 3077, 1903, 264, 13179, 304, 272, 1494, 1944, 82, 449, 27171, 13814, 11, 32125, 264, 11033, 323, 94802, 68705, 22180, 13, 578, 11033, 374, 315, 264, 54662, 7138, 320, 300, 16475, 311, 279, 810, 8508, 35534, 330, 13553, 21059, 1, 955, 1766, 304, 36608, 93872, 596, 27171, 56847, 11, 369, 3187, 8, 323, 279, 94802, 4131, 4028, 7878, 323, 93032, 11, 449, 80096, 17832, 323, 13200, 20025, 43426, 13, 578, 5370, 5540, 682, 2503, 29921, 3871, 11, 719, 1057, 16893, 574, 32161, 12782, 367, 13, 1666, 264, 1121, 11, 433, 1053, 387, 1695, 311, 65878, 832, 449, 279, 82780, 44783, 311, 1518, 1120, 1148, 279, 93970, 10825, 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 ]
[ 128000, 2181, 596, 2744, 6555, 311, 1518, 93970, 18667, 8603, 449, 1023, 24190, 311, 9407, 872, 4917, 64947, 13, 40612, 279, 17781, 14588, 523, 2690, 617, 43770, 709, 449, 36956, 36608, 93872, 323, 356, 4594, 369, 279, 65555, 13201, 12806, 1216, 13179, 89195, 369, 7839, 34484, 10563, 323, 1457, 814, 3077, 1903, 264, 13179, 304, 272, 1494, 1944, 82, 449, 27171, 13814, 11, 32125, 264, 11033, 323, 94802, 68705, 22180, 13, 578, 11033, 374, 315, 264, 54662, 7138, 320, 300, 16475, 311, 279, 810, 8508, 35534, 330, 13553, 21059, 1, 955, 1766, 304, 36608, 93872, 596, 27171, 56847, 11, 369, 3187, 8, 323, 279, 94802, 4131, 4028, 7878, 323, 93032, 11, 449, 80096, 17832, 323, 13200, 20025, 43426, 13, 578, 5370, 5540, 682, 2503, 29921, 3871, 11, 719, 1057, 16893, 574, 32161, 12782, 367, 13, 1666, 264, 1121, 11, 433, 1053, 387, 1695, 311, 65878, 832, 449, 279, 82780, 44783, 311, 1518, 1120, 1148, 279, 93970, 10825, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 1687, 6865, 264, 2763, 922, 45077, 323, 11660, 6392, 389, 279, 7757, 13, 2030, 4359, 374, 279, 10425, 315, 682, 5557, 11, 2737, 279, 7757, 11, 902, 649, 387, 1511, 369, 1790, 1695, 13, 358, 2846, 2133, 311, 22114, 499, 311, 1817, 264, 3116, 24401, 2835, 3770, 315, 459, 42702, 45314, 4771, 2362, 8334, 2410, 3725, 4051, 2706, 287, 304, 264, 2532, 520, 60481, 83081, 9441, 11, 57272, 543, 11, 8421, 13, 320, 2746, 279, 62469, 4124, 3604, 40019, 279, 19114, 11, 568, 374, 7762, 12937, 783, 6266, 5810, 3995, 7762, 568, 5144, 682, 220, 2287, 17377, 6603, 11, 45391, 27851, 1268, 1855, 2363, 21667, 10811, 13, 7648, 315, 279, 1495, 4131, 505, 279, 5609, 1054, 1548, 2209, 863, 555, 26757, 14465, 1885, 8233, 627, 2028, 15864, 6835, 264, 29674, 26610, 94012, 264, 49723, 1050, 10365, 13356, 315, 54250, 11, 64042, 603, 430, 13398, 315, 54250, 21667, 10811, 2345, 18788, 323, 1561, 3475, 24469, 4999, 1383, 279, 1648, 11, 304, 1057, 8993, 420, 11266, 15619, 3852, 584, 617, 1027, 9298, 1268, 279, 7493, 315, 1063, 315, 10811, 529, 38618, 505, 19475, 220, 16, 25, 16, 12, 1114, 16805, 10811, 304, 1063, 1648, 11, 4869, 5213, 398, 13, 18156, 279, 1648, 1884, 1274, 323, 6603, 315, 279, 17377, 16805, 10811, 374, 5107, 311, 1518, 13, 3011, 3250, 1431, 11, 4869, 11, 35453, 533, 505, 279, 76964, 323, 8206, 315, 279, 33235, 627, 4026, 311, 7762, 12937, 783, 596, 2835, 8111, 520, 279, 5740, 315, 420, 1772, 627, 7184, 264, 5743, 315, 6170, 311, 37433, 389, 25, 1115, 2835, 374, 28390, 315, 22599, 369, 69423, 323, 12917, 13, 12937, 783, 323, 14465, 1885, 8233, 527, 2216, 64694, 449, 872, 2038, 323, 13537, 311, 10811, 13, 4427, 315, 279, 22100, 323, 8365, 814, 4667, 311, 10811, 304, 264, 2728, 2363, 2873, 264, 2697, 9770, 11, 719, 814, 527, 539, 78630, 13, 14636, 11, 279, 5149, 311, 1427, 520, 54250, 26853, 78, 65524, 750, 8625, 264, 28390, 10368, 323, 12917, 5507, 13, 2435, 2643, 4284, 311, 603, 864, 27618, 11, 32629, 323, 24863, 68552, 17436, 5627, 311, 3118, 323, 71721, 3771, 4999, 63717, 11, 420, 2835, 323, 5609, 527, 539, 520, 682, 3958, 2574, 11, 719, 42727, 1695, 2574, 627, 4054, 315, 856, 59635, 3697, 6267, 304, 2077, 311, 856, 6170, 922, 430, 3284, 26784, 315, 26853, 78, 78396, 2191, 25, 1054, 55065, 374, 4359, 323, 279, 1193, 1648, 311, 279, 20941, 1555, 279, 990, 315, 279, 17326, 13, 1115, 2835, 12570, 311, 757, 439, 51475, 311, 6865, 279, 3995, 893, 753, 25429, 1648, 315, 39686, 1120, 430, 832, 3463, 25, 10811, 304, 279, 17377, 13, 358, 574, 33944, 323, 358, 3463, 499, 2643, 1101, 627, 4054, 315, 1057, 7418, 2978, 6989, 420, 1060, 1047, 279, 16945, 369, 1475, 1716, 320, 425, 220, 24, 12, 806, 8, 311, 4048, 279, 6603, 315, 279, 17377, 555, 4851, 13, 358, 1781, 433, 374, 264, 1695, 5507, 369, 1124, 304, 872, 12410, 922, 279, 17377, 439, 264, 4459, 627, 285, 1070, 904, 832, 311, 1520, 757, 5380, 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 ]
[ 128000, 1687, 6865, 264, 2763, 922, 45077, 323, 11660, 6392, 389, 279, 7757, 13, 2030, 4359, 374, 279, 10425, 315, 682, 5557, 11, 2737, 279, 7757, 11, 902, 649, 387, 1511, 369, 1790, 1695, 13, 358, 2846, 2133, 311, 22114, 499, 311, 1817, 264, 3116, 24401, 2835, 3770, 315, 459, 42702, 45314, 4771, 2362, 8334, 2410, 3725, 4051, 2706, 287, 304, 264, 2532, 520, 60481, 83081, 9441, 11, 57272, 543, 11, 8421, 13, 320, 2746, 279, 62469, 4124, 3604, 40019, 279, 19114, 11, 568, 374, 7762, 12937, 783, 6266, 5810, 3995, 7762, 568, 5144, 682, 220, 2287, 17377, 6603, 11, 45391, 27851, 1268, 1855, 2363, 21667, 10811, 13, 7648, 315, 279, 1495, 4131, 505, 279, 5609, 1054, 1548, 2209, 863, 555, 26757, 14465, 1885, 8233, 627, 2028, 15864, 6835, 264, 29674, 26610, 94012, 264, 49723, 1050, 10365, 13356, 315, 54250, 11, 64042, 603, 430, 13398, 315, 54250, 21667, 10811, 2345, 18788, 323, 1561, 3475, 24469, 4999, 1383, 279, 1648, 11, 304, 1057, 8993, 420, 11266, 15619, 3852, 584, 617, 1027, 9298, 1268, 279, 7493, 315, 1063, 315, 10811, 529, 38618, 505, 19475, 220, 16, 25, 16, 12, 1114, 16805, 10811, 304, 1063, 1648, 11, 4869, 5213, 398, 13, 18156, 279, 1648, 1884, 1274, 323, 6603, 315, 279, 17377, 16805, 10811, 374, 5107, 311, 1518, 13, 3011, 3250, 1431, 11, 4869, 11, 35453, 533, 505, 279, 76964, 323, 8206, 315, 279, 33235, 627, 4026, 311, 7762, 12937, 783, 596, 2835, 8111, 520, 279, 5740, 315, 420, 1772, 627, 7184, 264, 5743, 315, 6170, 311, 37433, 389, 25, 1115, 2835, 374, 28390, 315, 22599, 369, 69423, 323, 12917, 13, 12937, 783, 323, 14465, 1885, 8233, 527, 2216, 64694, 449, 872, 2038, 323, 13537, 311, 10811, 13, 4427, 315, 279, 22100, 323, 8365, 814, 4667, 311, 10811, 304, 264, 2728, 2363, 2873, 264, 2697, 9770, 11, 719, 814, 527, 539, 78630, 13, 14636, 11, 279, 5149, 311, 1427, 520, 54250, 26853, 78, 65524, 750, 8625, 264, 28390, 10368, 323, 12917, 5507, 13, 2435, 2643, 4284, 311, 603, 864, 27618, 11, 32629, 323, 24863, 68552, 17436, 5627, 311, 3118, 323, 71721, 3771, 4999, 63717, 11, 420, 2835, 323, 5609, 527, 539, 520, 682, 3958, 2574, 11, 719, 42727, 1695, 2574, 627, 4054, 315, 856, 59635, 3697, 6267, 304, 2077, 311, 856, 6170, 922, 430, 3284, 26784, 315, 26853, 78, 78396, 2191, 25, 1054, 55065, 374, 4359, 323, 279, 1193, 1648, 311, 279, 20941, 1555, 279, 990, 315, 279, 17326, 13, 1115, 2835, 12570, 311, 757, 439, 51475, 311, 6865, 279, 3995, 893, 753, 25429, 1648, 315, 39686, 1120, 430, 832, 3463, 25, 10811, 304, 279, 17377, 13, 358, 574, 33944, 323, 358, 3463, 499, 2643, 1101, 627, 4054, 315, 1057, 7418, 2978, 6989, 420, 1060, 1047, 279, 16945, 369, 1475, 1716, 320, 425, 220, 24, 12, 806, 8, 311, 4048, 279, 6603, 315, 279, 17377, 555, 4851, 13, 358, 1781, 433, 374, 264, 1695, 5507, 369, 1124, 304, 872, 12410, 922, 279, 17377, 439, 264, 4459, 627, 285, 1070, 904, 832, 311, 1520, 757, 5380, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 27844, 5052, 369, 264, 11734, 13, 2582, 311, 387, 810, 24473, 11, 279, 16657, 11, 19912, 59809, 323, 2394, 31176, 12656, 323, 14253, 13, 18587, 43655, 10235, 21342, 14177, 9875, 369, 1124, 682, 1418, 3318, 439, 279, 4443, 30806, 311, 279, 48510, 323, 4605, 434, 315, 58849, 520, 872, 10658, 12675, 627, 7184, 6506, 315, 43655, 596, 315, 4892, 13011, 11, 568, 596, 10209, 1176, 538, 1491, 24540, 89, 3691, 323, 2532, 520, 13579, 7729, 13, 3161, 42954, 4251, 2007, 33678, 17323, 11, 44461, 5110, 323, 48135, 26944, 11966, 433, 682, 5992, 4856, 16287, 13, 2030, 279, 16975, 304, 420, 32487, 7866, 46, 10960, 374, 1633, 16736, 323, 31467, 627, 54924, 5829, 2254, 8356, 369, 813, 6435, 23283, 11059, 39406, 559, 4129, 449, 264, 48637, 41452, 11, 1560, 331, 543, 354, 323, 16392, 1563, 19737, 26, 58785, 20735, 315, 10461, 38649, 11188, 11457, 3416, 449, 264, 8369, 33566, 315, 59811, 4147, 8945, 45697, 11, 308, 3963, 85138, 323, 264, 559, 404, 1394, 45907, 2922, 648, 13, 1283, 1101, 293, 2094, 813, 1866, 16385, 11, 902, 3727, 264, 33689, 30168, 12329, 311, 4430, 11, 449, 8492, 1924, 11, 90215, 3536, 323, 86921, 91070, 627, 3947, 527, 11510, 315, 2011, 12, 4646, 323, 311, 1773, 648, 15548, 26863, 389, 279, 43849, 5130, 11, 2737, 18587, 596, 11495, 28502, 311, 54225, 11, 2457, 323, 48449, 82527, 449, 1866, 27975, 33165, 21059, 10054, 12932, 323, 311, 54225, 19737, 627, 52361, 100060, 287, 56816, 25, 50544, 612, 100060, 82, 871, 50544, 871, 17355, 3804, 324, 1302, 871, 4892, 13011, 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 ]
[ 128000, 27844, 5052, 369, 264, 11734, 13, 2582, 311, 387, 810, 24473, 11, 279, 16657, 11, 19912, 59809, 323, 2394, 31176, 12656, 323, 14253, 13, 18587, 43655, 10235, 21342, 14177, 9875, 369, 1124, 682, 1418, 3318, 439, 279, 4443, 30806, 311, 279, 48510, 323, 4605, 434, 315, 58849, 520, 872, 10658, 12675, 627, 7184, 6506, 315, 43655, 596, 315, 4892, 13011, 11, 568, 596, 10209, 1176, 538, 1491, 24540, 89, 3691, 323, 2532, 520, 13579, 7729, 13, 3161, 42954, 4251, 2007, 33678, 17323, 11, 44461, 5110, 323, 48135, 26944, 11966, 433, 682, 5992, 4856, 16287, 13, 2030, 279, 16975, 304, 420, 32487, 7866, 46, 10960, 374, 1633, 16736, 323, 31467, 627, 54924, 5829, 2254, 8356, 369, 813, 6435, 23283, 11059, 39406, 559, 4129, 449, 264, 48637, 41452, 11, 1560, 331, 543, 354, 323, 16392, 1563, 19737, 26, 58785, 20735, 315, 10461, 38649, 11188, 11457, 3416, 449, 264, 8369, 33566, 315, 59811, 4147, 8945, 45697, 11, 308, 3963, 85138, 323, 264, 559, 404, 1394, 45907, 2922, 648, 13, 1283, 1101, 293, 2094, 813, 1866, 16385, 11, 902, 3727, 264, 33689, 30168, 12329, 311, 4430, 11, 449, 8492, 1924, 11, 90215, 3536, 323, 86921, 91070, 627, 3947, 527, 11510, 315, 2011, 12, 4646, 323, 311, 1773, 648, 15548, 26863, 389, 279, 43849, 5130, 11, 2737, 18587, 596, 11495, 28502, 311, 54225, 11, 2457, 323, 48449, 82527, 449, 1866, 27975, 33165, 21059, 10054, 12932, 323, 311, 54225, 19737, 627, 52361, 100060, 287, 56816, 25, 50544, 612, 100060, 82, 871, 50544, 871, 17355, 3804, 324, 1302, 871, 4892, 13011, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 1502, 92236, 4442, 1990, 220, 15, 13, 21, 13, 17, 323, 220, 15, 13, 21, 13, 24, 320, 455, 311, 220, 1049, 21, 12, 2304, 12, 2589, 1680, 31601, 5862, 288, 320, 258, 4040, 264, 480, 71627, 10077, 994, 14892, 449, 7150, 1, 374, 8521, 4390, 24249, 369, 1118, 7447, 21395, 5729, 48530, 320, 1263, 37784, 8, 15652, 323, 374, 9093, 8552, 555, 1670, 627, 13857, 320, 34, 8, 220, 1049, 16, 11, 220, 1049, 17, 11, 220, 1049, 18, 11, 1049, 21, 11, 1049, 22, 3658, 4476, 5114, 11, 4953, 13, 3028, 320, 34, 8, 220, 1049, 16, 11, 220, 1049, 17, 11, 220, 1049, 18, 11, 1049, 21, 11, 1049, 22, 11, 1049, 23, 3658, 4476, 5114, 11, 4953, 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 ]
[ 128000, 1502, 92236, 4442, 1990, 220, 15, 13, 21, 13, 17, 323, 220, 15, 13, 21, 13, 24, 320, 455, 311, 220, 1049, 21, 12, 2304, 12, 2589, 1680, 31601, 5862, 288, 320, 258, 4040, 264, 480, 71627, 10077, 994, 14892, 449, 7150, 1, 374, 8521, 4390, 24249, 369, 1118, 7447, 21395, 5729, 48530, 320, 1263, 37784, 8, 15652, 323, 374, 9093, 8552, 555, 1670, 627, 13857, 320, 34, 8, 220, 1049, 16, 11, 220, 1049, 17, 11, 220, 1049, 18, 11, 1049, 21, 11, 1049, 22, 3658, 4476, 5114, 11, 4953, 13, 3028, 320, 34, 8, 220, 1049, 16, 11, 220, 1049, 17, 11, 220, 1049, 18, 11, 1049, 21, 11, 1049, 22, 11, 1049, 23, 3658, 4476, 5114, 11, 4953, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123 ]
124
[ 128000, 627, 6107, 1457, 11, 358, 1097, 48174, 14363, 315, 1694, 264, 18754, 30249, 627, 40, 1903, 433, 1555, 682, 279, 13179, 304, 279, 1917, 1566, 3814, 13, 358, 3463, 358, 7070, 14993, 449, 70441, 18406, 87847, 89474, 719, 358, 30912, 320, 438, 14333, 8, 459, 4553, 36581, 2004, 48822, 449, 33566, 13, 5112, 358, 4024, 311, 6212, 627, 54, 1802, 709, 30335, 4207, 3010, 358, 37875, 296, 10880, 856, 1648, 1555, 264, 48351, 38049, 7210, 21059, 45723, 15411, 449, 72995, 391, 71970, 323, 2030, 4253, 332, 20685, 1003, 627, 87990, 1148, 264, 17104, 9498, 18406, 16163, 863, 499, 3207, 682, 7422, 13, 1054, 4897, 10578, 17104, 113068, 10902, 773, 33077, 2402, 11, 449, 701, 3451, 42, 6897, 529, 323, 701, 1054, 33, 35398, 6342, 863, 323, 701, 1054, 14336, 34, 44353, 323, 44925, 113068, 12487, 358, 4024, 311, 990, 11, 17903, 449, 264, 3830, 315, 19724, 323, 1063, 35354, 315, 16385, 13, 5034, 1208, 1208, 11, 358, 4344, 2133, 311, 23211, 6392, 323, 24522, 433, 304, 19724, 11, 323, 61792, 709, 682, 279, 18406, 37493, 13, 5034, 1208, 1208, 627, 40, 1304, 420, 19724, 682, 279, 892, 505, 856, 11364, 2363, 315, 11364, 19724, 13, 1102, 753, 20333, 627, 19952, 82, 704, 279, 19724, 36263, 315, 26351, 13, 650, 47820, 989, 42120, 1216, 26351, 13, 10926, 433, 753, 279, 13179, 12365, 1606, 14129, 2795, 568, 753, 1027, 12459, 433, 323, 433, 36263, 7060, 311, 1461, 13, 358, 9670, 709, 39719, 675, 287, 389, 1589, 1538, 1441, 430, 358, 1766, 304, 279, 38681, 1234, 1023, 1589, 1538, 1441, 449, 51370, 389, 1124, 13, 358, 574, 2133, 311, 5019, 89077, 61276, 389, 1124, 719, 358, 16869, 5326, 430, 3451, 53980, 12745, 826, 529, 527, 539, 1903, 505, 49112, 645, 627, 40, 51798, 291, 1124, 449, 12290, 627, 64588, 13, 38000, 627, 627, 627, 627, 627, 37412, 627, 627, 627, 627, 27941, 2423, 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 ]
[ 128000, 627, 6107, 1457, 11, 358, 1097, 48174, 14363, 315, 1694, 264, 18754, 30249, 627, 40, 1903, 433, 1555, 682, 279, 13179, 304, 279, 1917, 1566, 3814, 13, 358, 3463, 358, 7070, 14993, 449, 70441, 18406, 87847, 89474, 719, 358, 30912, 320, 438, 14333, 8, 459, 4553, 36581, 2004, 48822, 449, 33566, 13, 5112, 358, 4024, 311, 6212, 627, 54, 1802, 709, 30335, 4207, 3010, 358, 37875, 296, 10880, 856, 1648, 1555, 264, 48351, 38049, 7210, 21059, 45723, 15411, 449, 72995, 391, 71970, 323, 2030, 4253, 332, 20685, 1003, 627, 87990, 1148, 264, 17104, 9498, 18406, 16163, 863, 499, 3207, 682, 7422, 13, 1054, 4897, 10578, 17104, 113068, 10902, 773, 33077, 2402, 11, 449, 701, 3451, 42, 6897, 529, 323, 701, 1054, 33, 35398, 6342, 863, 323, 701, 1054, 14336, 34, 44353, 323, 44925, 113068, 12487, 358, 4024, 311, 990, 11, 17903, 449, 264, 3830, 315, 19724, 323, 1063, 35354, 315, 16385, 13, 5034, 1208, 1208, 11, 358, 4344, 2133, 311, 23211, 6392, 323, 24522, 433, 304, 19724, 11, 323, 61792, 709, 682, 279, 18406, 37493, 13, 5034, 1208, 1208, 627, 40, 1304, 420, 19724, 682, 279, 892, 505, 856, 11364, 2363, 315, 11364, 19724, 13, 1102, 753, 20333, 627, 19952, 82, 704, 279, 19724, 36263, 315, 26351, 13, 650, 47820, 989, 42120, 1216, 26351, 13, 10926, 433, 753, 279, 13179, 12365, 1606, 14129, 2795, 568, 753, 1027, 12459, 433, 323, 433, 36263, 7060, 311, 1461, 13, 358, 9670, 709, 39719, 675, 287, 389, 1589, 1538, 1441, 430, 358, 1766, 304, 279, 38681, 1234, 1023, 1589, 1538, 1441, 449, 51370, 389, 1124, 13, 358, 574, 2133, 311, 5019, 89077, 61276, 389, 1124, 719, 358, 16869, 5326, 430, 3451, 53980, 12745, 826, 529, 527, 539, 1903, 505, 49112, 645, 627, 40, 51798, 291, 1124, 449, 12290, 627, 64588, 13, 38000, 627, 627, 627, 627, 627, 37412, 627, 627, 627, 627, 27941, 2423, 30, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 4061, 704, 279, 4232, 7222, 3925, 369, 435, 8934, 23454, 304, 3723, 4273, 627, 23366, 11346, 5039, 1268, 5526, 435, 8934, 23454, 374, 304, 279, 16433, 11, 323, 1268, 430, 753, 5614, 927, 892, 13, 1472, 649, 3839, 279, 5178, 315, 435, 8934, 23454, 1475, 6596, 315, 1475, 1938, 4028, 2204, 5961, 11, 11306, 323, 7766, 627, 10086, 704, 1148, 3932, 1781, 315, 435, 8934, 23454, 555, 5403, 279, 8544, 323, 13598, 279, 10959, 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 ]
[ 128000, 4061, 704, 279, 4232, 7222, 3925, 369, 435, 8934, 23454, 304, 3723, 4273, 627, 23366, 11346, 5039, 1268, 5526, 435, 8934, 23454, 374, 304, 279, 16433, 11, 323, 1268, 430, 753, 5614, 927, 892, 13, 1472, 649, 3839, 279, 5178, 315, 435, 8934, 23454, 1475, 6596, 315, 1475, 1938, 4028, 2204, 5961, 11, 11306, 323, 7766, 627, 10086, 704, 1148, 3932, 1781, 315, 435, 8934, 23454, 555, 5403, 279, 8544, 323, 13598, 279, 10959, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 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, 32, 91740, 15580, 649, 387, 94285, 2041, 311, 3009, 389, 1202, 1866, 11, 3582, 11, 323, 4762, 2834, 956, 4498, 927, 382, 2675, 649, 617, 520, 1455, 832, 1450, 389, 701, 13260, 323, 832, 389, 279, 1023, 13, 2100, 11, 1095, 596, 2019, 499, 10299, 311, 6435, 433, 1523, 2085, 1948, 12127, 433, 477, 701, 1866, 13260, 13, 1115, 832, 574, 2133, 27834, 4732, 779, 358, 8101, 433, 596, 5128, 17821, 311, 387, 304, 220, 16, 267, 14787, 13, 2100, 1268, 656, 499, 2567, 433, 505, 357, 17157, 323, 21706, 10789, 311, 264, 27365, 994, 499, 6435, 433, 1523, 994, 499, 649, 956, 5662, 430, 13260, 596, 559, 38800, 323, 43789, 30, 2650, 656, 499, 43789, 704, 389, 701, 1866, 13260, 994, 499, 3009, 994, 701, 43789, 1450, 374, 389, 279, 1023, 13260, 30, 469, 10630, 2637, 5099, 13, 4815, 791, 4459, 3245, 1120, 5084, 1515, 38210, 304, 90377, 1260, 311, 757, 13, 358, 8434, 956, 1524, 4879, 433, 13, 3011, 13260, 374, 2133, 311, 4295, 279, 9722, 31373, 477, 3010, 912, 5030, 1148, 11, 912, 5647, 304, 4737, 6261, 704, 304, 279, 1920, 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 ]
[ 128000, 32, 91740, 15580, 649, 387, 94285, 2041, 311, 3009, 389, 1202, 1866, 11, 3582, 11, 323, 4762, 2834, 956, 4498, 927, 382, 2675, 649, 617, 520, 1455, 832, 1450, 389, 701, 13260, 323, 832, 389, 279, 1023, 13, 2100, 11, 1095, 596, 2019, 499, 10299, 311, 6435, 433, 1523, 2085, 1948, 12127, 433, 477, 701, 1866, 13260, 13, 1115, 832, 574, 2133, 27834, 4732, 779, 358, 8101, 433, 596, 5128, 17821, 311, 387, 304, 220, 16, 267, 14787, 13, 2100, 1268, 656, 499, 2567, 433, 505, 357, 17157, 323, 21706, 10789, 311, 264, 27365, 994, 499, 6435, 433, 1523, 994, 499, 649, 956, 5662, 430, 13260, 596, 559, 38800, 323, 43789, 30, 2650, 656, 499, 43789, 704, 389, 701, 1866, 13260, 994, 499, 3009, 994, 701, 43789, 1450, 374, 389, 279, 1023, 13260, 30, 469, 10630, 2637, 5099, 13, 4815, 791, 4459, 3245, 1120, 5084, 1515, 38210, 304, 90377, 1260, 311, 757, 13, 358, 8434, 956, 1524, 4879, 433, 13, 3011, 13260, 374, 2133, 311, 4295, 279, 9722, 31373, 477, 3010, 912, 5030, 1148, 11, 912, 5647, 304, 4737, 6261, 704, 304, 279, 1920, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 27, 265, 621, 373, 29, 55665, 680, 40610, 372, 396, 27, 8570, 29, 5349, 372, 396, 14, 27178, 2054, 7345, 198, 2, 5659, 19088, 25, 93, 66581, 62751, 73, 3200, 56517, 764, 7977, 198, 7275, 2127, 5811, 955, 369, 11889, 11298, 28935, 9246, 320, 6518, 1109, 220, 1227, 74, 11, 719, 2678, 198, 268, 1409, 430, 814, 2103, 5052, 1139, 5044, 323, 1541, 956, 1397, 17265, 4390, 15425, 1527, 272, 707, 3895, 1179, 68035, 198, 1527, 42431, 1179, 1797, 271, 1527, 38817, 5453, 22792, 13, 1141, 1179, 64008, 11, 14138, 11, 7498, 1038, 2198, 32983, 6949, 284, 220, 15, 21158, 271, 1058, 6295, 707, 7, 9350, 997, 262, 711, 505, 1642, 1214, 11, 836, 11, 9246, 11, 6302, 11, 18940, 997, 286, 907, 284, 68035, 746, 286, 907, 3921, 52542, 673, 3232, 1192, 286, 369, 5663, 304, 1797, 7, 17, 997, 310, 12143, 284, 9246, 673, 4530, 82, 23253, 67, 1, 1034, 320, 609, 11, 5663, 1192, 310, 422, 12143, 374, 2290, 512, 394, 1464, 198, 310, 907, 3921, 42677, 340, 286, 6302, 11174, 60, 284, 907, 81766, 13407, 262, 711, 311, 1642, 1214, 11, 836, 11, 9246, 11, 6302, 11, 18940, 997, 286, 907, 284, 68035, 74799, 11174, 2608, 286, 1176, 29404, 284, 907, 4217, 84034, 32983, 6949, 340, 286, 9246, 11174, 60, 284, 1176, 29404, 198, 286, 5663, 284, 220, 17, 198, 286, 1418, 3082, 512, 310, 1828, 29404, 284, 907, 4217, 84034, 32983, 6949, 340, 310, 422, 539, 1828, 29404, 512, 394, 1464, 198, 310, 9246, 1204, 4, 82, 23253, 67, 1, 1034, 320, 609, 11, 5663, 7400, 284, 1828, 29404, 198, 310, 5663, 1447, 220, 16, 271, 1058, 11244, 42522, 997, 262, 6105, 284, 52228, 16548, 518, 6295, 707, 2189, 2595, 1058, 13688, 7, 16407, 997, 262, 571, 11764, 4810, 20949, 198, 262, 711, 2751, 16010, 1214, 11, 2466, 997, 286, 1194, 364, 33562, 264, 2466, 1988, 518, 2479, 76716, 340, 286, 282, 284, 1052, 446, 31401, 498, 330, 20824, 1158, 286, 282, 3921, 76716, 340, 286, 282, 4757, 746, 286, 471, 10294, 755, 1925, 15689, 997, 262, 505, 38817, 82092, 1179, 38729, 198, 262, 505, 38817, 82092, 30951, 1179, 17367, 11, 8589, 32965, 198, 262, 422, 10424, 58, 16, 60, 624, 364, 3045, 3730, 286, 3986, 284, 10424, 58, 17, 933, 286, 711, 8599, 4556, 997, 310, 1121, 8692, 25732, 3844, 408, 11, 2466, 60345, 11202, 570, 888, 2455, 286, 8589, 32965, 7, 3007, 269, 11, 64008, 570, 6595, 50996, 446, 8465, 498, 220, 16739, 16, 570, 723, 7646, 1021, 310, 8599, 340, 286, 38729, 7789, 746, 262, 4508, 10424, 58, 16, 60, 624, 364, 4120, 3730, 286, 282, 284, 17367, 746, 286, 282, 30951, 284, 13688, 198, 286, 38729, 23453, 50996, 7, 16739, 16, 11, 282, 340, 286, 38729, 7789, 746, 262, 775, 512, 286, 1194, 330, 71152, 364, 3045, 6, 477, 364, 4120, 4527, 702, 333, 1328, 609, 565, 624, 12385, 3902, 16575, 262, 505, 5826, 1179, 10424, 439, 6105, 198, 262, 1925, 31567, 340, 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 ]
[ 128000, 27, 265, 621, 373, 29, 55665, 680, 40610, 372, 396, 27, 8570, 29, 5349, 372, 396, 14, 27178, 2054, 7345, 198, 2, 5659, 19088, 25, 93, 66581, 62751, 73, 3200, 56517, 764, 7977, 198, 7275, 2127, 5811, 955, 369, 11889, 11298, 28935, 9246, 320, 6518, 1109, 220, 1227, 74, 11, 719, 2678, 198, 268, 1409, 430, 814, 2103, 5052, 1139, 5044, 323, 1541, 956, 1397, 17265, 4390, 15425, 1527, 272, 707, 3895, 1179, 68035, 198, 1527, 42431, 1179, 1797, 271, 1527, 38817, 5453, 22792, 13, 1141, 1179, 64008, 11, 14138, 11, 7498, 1038, 2198, 32983, 6949, 284, 220, 15, 21158, 271, 1058, 6295, 707, 7, 9350, 997, 262, 711, 505, 1642, 1214, 11, 836, 11, 9246, 11, 6302, 11, 18940, 997, 286, 907, 284, 68035, 746, 286, 907, 3921, 52542, 673, 3232, 1192, 286, 369, 5663, 304, 1797, 7, 17, 997, 310, 12143, 284, 9246, 673, 4530, 82, 23253, 67, 1, 1034, 320, 609, 11, 5663, 1192, 310, 422, 12143, 374, 2290, 512, 394, 1464, 198, 310, 907, 3921, 42677, 340, 286, 6302, 11174, 60, 284, 907, 81766, 13407, 262, 711, 311, 1642, 1214, 11, 836, 11, 9246, 11, 6302, 11, 18940, 997, 286, 907, 284, 68035, 74799, 11174, 2608, 286, 1176, 29404, 284, 907, 4217, 84034, 32983, 6949, 340, 286, 9246, 11174, 60, 284, 1176, 29404, 198, 286, 5663, 284, 220, 17, 198, 286, 1418, 3082, 512, 310, 1828, 29404, 284, 907, 4217, 84034, 32983, 6949, 340, 310, 422, 539, 1828, 29404, 512, 394, 1464, 198, 310, 9246, 1204, 4, 82, 23253, 67, 1, 1034, 320, 609, 11, 5663, 7400, 284, 1828, 29404, 198, 310, 5663, 1447, 220, 16, 271, 1058, 11244, 42522, 997, 262, 6105, 284, 52228, 16548, 518, 6295, 707, 2189, 2595, 1058, 13688, 7, 16407, 997, 262, 571, 11764, 4810, 20949, 198, 262, 711, 2751, 16010, 1214, 11, 2466, 997, 286, 1194, 364, 33562, 264, 2466, 1988, 518, 2479, 76716, 340, 286, 282, 284, 1052, 446, 31401, 498, 330, 20824, 1158, 286, 282, 3921, 76716, 340, 286, 282, 4757, 746, 286, 471, 10294, 755, 1925, 15689, 997, 262, 505, 38817, 82092, 1179, 38729, 198, 262, 505, 38817, 82092, 30951, 1179, 17367, 11, 8589, 32965, 198, 262, 422, 10424, 58, 16, 60, 624, 364, 3045, 3730, 286, 3986, 284, 10424, 58, 17, 933, 286, 711, 8599, 4556, 997, 310, 1121, 8692, 25732, 3844, 408, 11, 2466, 60345, 11202, 570, 888, 2455, 286, 8589, 32965, 7, 3007, 269, 11, 64008, 570, 6595, 50996, 446, 8465, 498, 220, 16739, 16, 570, 723, 7646, 1021, 310, 8599, 340, 286, 38729, 7789, 746, 262, 4508, 10424, 58, 16, 60, 624, 364, 4120, 3730, 286, 282, 284, 17367, 746, 286, 282, 30951, 284, 13688, 198, 286, 38729, 23453, 50996, 7, 16739, 16, 11, 282, 340, 286, 38729, 7789, 746, 262, 775, 512, 286, 1194, 330, 71152, 364, 3045, 6, 477, 364, 4120, 4527, 702, 333, 1328, 609, 565, 624, 12385, 3902, 16575, 262, 505, 5826, 1179, 10424, 439, 6105, 198, 262, 1925, 31567, 340, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 1383, 25, 42287, 1369, 754, 68, 11, 11182, 5806, 96020, 520, 80648, 263, 8078, 9483, 618, 1065, 8078, 1398, 21643, 291, 6150, 11182, 198, 4599, 358, 11928, 279, 2683, 315, 11896, 10783, 520, 80648, 263, 8078, 9483, 618, 1065, 8078, 6150, 11182, 3116, 1667, 4227, 11, 358, 6773, 358, 4460, 264, 1648, 311, 19570, 449, 279, 13639, 389, 264, 5912, 8197, 13, 358, 7020, 358, 1436, 4034, 872, 2262, 3196, 2128, 16659, 11, 719, 358, 1101, 7020, 433, 574, 12266, 311, 636, 311, 682, 315, 1124, 1855, 2305, 13, 358, 574, 3309, 430, 1690, 315, 279, 13639, 3287, 1431, 1440, 1148, 7077, 304, 279, 6875, 323, 9093, 3287, 1431, 1005, 433, 13, 358, 4460, 311, 2349, 430, 0, 358, 1101, 12974, 311, 2567, 856, 2683, 439, 5806, 96020, 11, 779, 358, 7020, 433, 574, 3062, 311, 2567, 279, 82139, 323, 74133, 67441, 561, 315, 1148, 358, 574, 3815, 323, 1268, 279, 6875, 574, 1694, 1511, 555, 4236, 323, 13639, 627, 2028, 374, 994, 856, 15438, 1054, 17344, 26496, 863, 20846, 574, 9405, 13, 358, 57098, 1690, 2204, 5627, 311, 2955, 433, 323, 636, 433, 1139, 279, 6206, 315, 279, 13639, 13, 358, 7020, 433, 7846, 1431, 387, 12886, 1555, 872, 2613, 1606, 1455, 13639, 1053, 3783, 433, 2085, 1524, 8736, 279, 20581, 13, 9843, 358, 6773, 389, 10917, 433, 304, 872, 8232, 22995, 1855, 2305, 11, 358, 7020, 433, 1047, 311, 387, 86605, 323, 34966, 477, 433, 1053, 636, 15338, 1139, 279, 34978, 9736, 1603, 814, 2163, 279, 5274, 627, 5159, 1176, 20846, 13524, 7633, 311, 279, 13639, 889, 358, 574, 11, 1148, 279, 20846, 1053, 387, 922, 11, 323, 1268, 358, 1436, 7945, 1124, 449, 872, 12917, 13, 5659, 1070, 11, 358, 6137, 7999, 304, 5557, 10631, 11, 502, 5000, 220, 17, 13, 15, 7526, 11, 502, 10721, 11, 502, 6603, 584, 4036, 11, 10631, 389, 1701, 31871, 71, 822, 11, 323, 2574, 358, 617, 1027, 3815, 449, 1023, 13639, 304, 279, 9474, 13, 32862, 1306, 279, 1176, 4360, 574, 704, 11, 358, 15393, 430, 358, 4460, 311, 1304, 264, 2204, 20846, 369, 1855, 4857, 779, 430, 433, 574, 59547, 11951, 311, 279, 28711, 430, 1884, 13639, 15972, 13, 358, 1097, 40510, 430, 358, 1193, 617, 2380, 14016, 304, 856, 9474, 11, 779, 279, 3465, 4536, 1431, 2288, 5107, 13, 358, 1101, 1304, 2771, 311, 3708, 264, 3048, 315, 682, 2380, 35488, 311, 279, 74133, 1855, 2305, 323, 2610, 1461, 311, 4430, 1124, 449, 279, 2978, 4580, 627, 5519, 682, 279, 13639, 1373, 433, 1855, 2305, 30, 2360, 13, 358, 4344, 2771, 1455, 315, 1124, 1541, 1431, 1373, 433, 13, 2030, 11, 1475, 3131, 304, 51569, 358, 690, 617, 264, 11326, 2586, 709, 311, 757, 323, 2019, 2574, 1778, 439, 11, 1054, 19182, 11, 649, 499, 1501, 757, 1268, 311, 1515, 1139, 430, 3997, 499, 1047, 304, 701, 20846, 12671, 477, 11, 1054, 40, 1373, 430, 499, 527, 3815, 2363, 13739, 11, 649, 499, 2586, 311, 856, 24978, 323, 656, 1124, 30, 9520, 477, 1524, 11, 1054, 40, 617, 264, 2294, 917, 499, 1288, 2231, 304, 701, 1828, 15438, 20846, 0, 358, 690, 2613, 433, 311, 499, 2029, 627, 4516, 11, 1524, 3582, 358, 2643, 1193, 387, 19261, 264, 2478, 315, 279, 13639, 11, 358, 2103, 3412, 704, 3987, 430, 279, 1023, 6305, 2643, 1518, 2555, 430, 49155, 872, 6666, 1603, 814, 2571, 433, 1139, 279, 34978, 9736, 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 ]
[ 128000, 1383, 25, 42287, 1369, 754, 68, 11, 11182, 5806, 96020, 520, 80648, 263, 8078, 9483, 618, 1065, 8078, 1398, 21643, 291, 6150, 11182, 198, 4599, 358, 11928, 279, 2683, 315, 11896, 10783, 520, 80648, 263, 8078, 9483, 618, 1065, 8078, 6150, 11182, 3116, 1667, 4227, 11, 358, 6773, 358, 4460, 264, 1648, 311, 19570, 449, 279, 13639, 389, 264, 5912, 8197, 13, 358, 7020, 358, 1436, 4034, 872, 2262, 3196, 2128, 16659, 11, 719, 358, 1101, 7020, 433, 574, 12266, 311, 636, 311, 682, 315, 1124, 1855, 2305, 13, 358, 574, 3309, 430, 1690, 315, 279, 13639, 3287, 1431, 1440, 1148, 7077, 304, 279, 6875, 323, 9093, 3287, 1431, 1005, 433, 13, 358, 4460, 311, 2349, 430, 0, 358, 1101, 12974, 311, 2567, 856, 2683, 439, 5806, 96020, 11, 779, 358, 7020, 433, 574, 3062, 311, 2567, 279, 82139, 323, 74133, 67441, 561, 315, 1148, 358, 574, 3815, 323, 1268, 279, 6875, 574, 1694, 1511, 555, 4236, 323, 13639, 627, 2028, 374, 994, 856, 15438, 1054, 17344, 26496, 863, 20846, 574, 9405, 13, 358, 57098, 1690, 2204, 5627, 311, 2955, 433, 323, 636, 433, 1139, 279, 6206, 315, 279, 13639, 13, 358, 7020, 433, 7846, 1431, 387, 12886, 1555, 872, 2613, 1606, 1455, 13639, 1053, 3783, 433, 2085, 1524, 8736, 279, 20581, 13, 9843, 358, 6773, 389, 10917, 433, 304, 872, 8232, 22995, 1855, 2305, 11, 358, 7020, 433, 1047, 311, 387, 86605, 323, 34966, 477, 433, 1053, 636, 15338, 1139, 279, 34978, 9736, 1603, 814, 2163, 279, 5274, 627, 5159, 1176, 20846, 13524, 7633, 311, 279, 13639, 889, 358, 574, 11, 1148, 279, 20846, 1053, 387, 922, 11, 323, 1268, 358, 1436, 7945, 1124, 449, 872, 12917, 13, 5659, 1070, 11, 358, 6137, 7999, 304, 5557, 10631, 11, 502, 5000, 220, 17, 13, 15, 7526, 11, 502, 10721, 11, 502, 6603, 584, 4036, 11, 10631, 389, 1701, 31871, 71, 822, 11, 323, 2574, 358, 617, 1027, 3815, 449, 1023, 13639, 304, 279, 9474, 13, 32862, 1306, 279, 1176, 4360, 574, 704, 11, 358, 15393, 430, 358, 4460, 311, 1304, 264, 2204, 20846, 369, 1855, 4857, 779, 430, 433, 574, 59547, 11951, 311, 279, 28711, 430, 1884, 13639, 15972, 13, 358, 1097, 40510, 430, 358, 1193, 617, 2380, 14016, 304, 856, 9474, 11, 779, 279, 3465, 4536, 1431, 2288, 5107, 13, 358, 1101, 1304, 2771, 311, 3708, 264, 3048, 315, 682, 2380, 35488, 311, 279, 74133, 1855, 2305, 323, 2610, 1461, 311, 4430, 1124, 449, 279, 2978, 4580, 627, 5519, 682, 279, 13639, 1373, 433, 1855, 2305, 30, 2360, 13, 358, 4344, 2771, 1455, 315, 1124, 1541, 1431, 1373, 433, 13, 2030, 11, 1475, 3131, 304, 51569, 358, 690, 617, 264, 11326, 2586, 709, 311, 757, 323, 2019, 2574, 1778, 439, 11, 1054, 19182, 11, 649, 499, 1501, 757, 1268, 311, 1515, 1139, 430, 3997, 499, 1047, 304, 701, 20846, 12671, 477, 11, 1054, 40, 1373, 430, 499, 527, 3815, 2363, 13739, 11, 649, 499, 2586, 311, 856, 24978, 323, 656, 1124, 30, 9520, 477, 1524, 11, 1054, 40, 617, 264, 2294, 917, 499, 1288, 2231, 304, 701, 1828, 15438, 20846, 0, 358, 690, 2613, 433, 311, 499, 2029, 627, 4516, 11, 1524, 3582, 358, 2643, 1193, 387, 19261, 264, 2478, 315, 279, 13639, 11, 358, 2103, 3412, 704, 3987, 430, 279, 1023, 6305, 2643, 1518, 2555, 430, 49155, 872, 6666, 1603, 814, 2571, 433, 1139, 279, 34978, 9736, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 28615, 3457, 6316, 47838, 48454, 409, 452, 3029, 301, 12340, 622, 34155, 7591, 5697, 11083, 7558, 288, 409, 282, 90276, 55398, 6, 2933, 46415, 294, 6, 42792, 38708, 627, 8586, 596, 2500, 10280, 3786, 12340, 358, 3077, 2736, 2884, 856, 15553, 3786, 12222, 6664, 627, 41, 34155, 52579, 951, 281, 2113, 388, 1880, 3930, 10485, 276, 409, 15857, 13, 622, 34155, 35881, 13649, 978, 514, 9943, 444, 9952, 7643, 356, 2265, 332, 1880, 1208, 7558, 283, 1557, 20704, 75239, 13, 622, 34155, 76826, 90096, 978, 3930, 8444, 3328, 432, 11289, 5019, 514, 20028, 1437, 15610, 13, 11876, 19289, 14848, 24560, 16081, 5512, 9952, 653, 3273, 971, 404, 409, 30180, 65, 5863, 1744, 4864, 3355, 729, 409, 296, 6, 613, 1430, 13, 2009, 27065, 1826, 28463, 409, 15857, 627, 40, 3952, 1063, 15857, 3786, 13787, 323, 45667, 13, 358, 4018, 279, 12056, 64556, 449, 856, 356, 2265, 332, 323, 279, 20704, 75239, 51962, 13, 358, 1243, 3779, 1063, 8444, 3328, 432, 11289, 311, 1304, 433, 96170, 0, 220, 578, 27065, 374, 1101, 15857, 627, 41, 34155, 1933, 72, 978, 76249, 9952, 11083, 25991, 1233, 1880, 90096, 978, 653, 28800, 409, 47561, 645, 13, 16233, 296, 12339, 42182, 264, 3212, 20028, 514, 30583, 425, 9952, 951, 48432, 33903, 1529, 83281, 11, 353, 96513, 9, 80395, 40, 58919, 76249, 449, 25991, 1233, 323, 3779, 264, 2697, 2766, 315, 47561, 645, 13, 5414, 3450, 4762, 13452, 3815, 35189, 449, 1884, 4251, 48432, 82, 11, 28509, 80395, 41, 34155, 5906, 951, 11815, 296, 46651, 5019, 71751, 653, 67781, 56321, 13167, 8065, 27065, 627, 40, 2231, 32183, 57322, 311, 3041, 264, 220, 18, 9607, 2515, 311, 279, 27065, 627, 38, 21367, 10280, 3786, 11, 358, 3021, 430, 10437, 76249, 323, 499, 12745, 23569, 13, 24118, 3001, 9930, 499, 369, 18667, 603, 520, 20704, 90024, 420, 2046, 449, 701, 41708, 9886, 627, 1225, 19369, 323, 10437, 13, 358, 3021, 311, 1518, 6437, 10280, 7563, 13, 2435, 2216, 617, 279, 2733, 315, 12688, 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 ]
[ 128000, 28615, 3457, 6316, 47838, 48454, 409, 452, 3029, 301, 12340, 622, 34155, 7591, 5697, 11083, 7558, 288, 409, 282, 90276, 55398, 6, 2933, 46415, 294, 6, 42792, 38708, 627, 8586, 596, 2500, 10280, 3786, 12340, 358, 3077, 2736, 2884, 856, 15553, 3786, 12222, 6664, 627, 41, 34155, 52579, 951, 281, 2113, 388, 1880, 3930, 10485, 276, 409, 15857, 13, 622, 34155, 35881, 13649, 978, 514, 9943, 444, 9952, 7643, 356, 2265, 332, 1880, 1208, 7558, 283, 1557, 20704, 75239, 13, 622, 34155, 76826, 90096, 978, 3930, 8444, 3328, 432, 11289, 5019, 514, 20028, 1437, 15610, 13, 11876, 19289, 14848, 24560, 16081, 5512, 9952, 653, 3273, 971, 404, 409, 30180, 65, 5863, 1744, 4864, 3355, 729, 409, 296, 6, 613, 1430, 13, 2009, 27065, 1826, 28463, 409, 15857, 627, 40, 3952, 1063, 15857, 3786, 13787, 323, 45667, 13, 358, 4018, 279, 12056, 64556, 449, 856, 356, 2265, 332, 323, 279, 20704, 75239, 51962, 13, 358, 1243, 3779, 1063, 8444, 3328, 432, 11289, 311, 1304, 433, 96170, 0, 220, 578, 27065, 374, 1101, 15857, 627, 41, 34155, 1933, 72, 978, 76249, 9952, 11083, 25991, 1233, 1880, 90096, 978, 653, 28800, 409, 47561, 645, 13, 16233, 296, 12339, 42182, 264, 3212, 20028, 514, 30583, 425, 9952, 951, 48432, 33903, 1529, 83281, 11, 353, 96513, 9, 80395, 40, 58919, 76249, 449, 25991, 1233, 323, 3779, 264, 2697, 2766, 315, 47561, 645, 13, 5414, 3450, 4762, 13452, 3815, 35189, 449, 1884, 4251, 48432, 82, 11, 28509, 80395, 41, 34155, 5906, 951, 11815, 296, 46651, 5019, 71751, 653, 67781, 56321, 13167, 8065, 27065, 627, 40, 2231, 32183, 57322, 311, 3041, 264, 220, 18, 9607, 2515, 311, 279, 27065, 627, 38, 21367, 10280, 3786, 11, 358, 3021, 430, 10437, 76249, 323, 499, 12745, 23569, 13, 24118, 3001, 9930, 499, 369, 18667, 603, 520, 20704, 90024, 420, 2046, 449, 701, 41708, 9886, 627, 1225, 19369, 323, 10437, 13, 358, 3021, 311, 1518, 6437, 10280, 7563, 13, 2435, 2216, 617, 279, 2733, 315, 12688, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 791, 68253, 4892, 374, 1120, 31049, 1314, 1457, 13, 220, 358, 1541, 956, 1093, 10043, 927, 279, 4732, 4017, 304, 264, 8246, 10353, 11, 14224, 11, 323, 994, 499, 2586, 2212, 279, 37920, 1234, 6460, 14689, 6825, 1405, 279, 1403, 34125, 11117, 8800, 279, 1314, 3185, 11, 358, 1456, 311, 4822, 304, 279, 3117, 2163, 311, 1095, 430, 11117, 3621, 13, 220, 358, 1440, 420, 374, 539, 10728, 482, 10043, 279, 4732, 4017, 304, 279, 2163, 21971, 482, 719, 6671, 750, 11, 369, 430, 9575, 315, 1093, 220, 1041, 14006, 11, 358, 1781, 433, 596, 279, 1455, 38761, 3245, 311, 656, 13, 220, 2684, 596, 264, 6908, 3148, 315, 9515, 10043, 1555, 559, 6236, 2779, 34125, 1990, 264, 15860, 315, 30740, 13, 220, 358, 3041, 1124, 3634, 382, 4071, 39526, 82426, 11, 358, 649, 956, 3371, 499, 1268, 1690, 3115, 1063, 10184, 706, 2586, 16706, 709, 4920, 757, 520, 7344, 220, 2031, 323, 2064, 2841, 311, 279, 1314, 353, 20384, 398, 1139, 279, 1403, 34125, 315, 54477, 9629, 9, 1606, 814, 649, 956, 11984, 311, 6678, 279, 4732, 4017, 369, 1093, 220, 966, 6622, 3156, 358, 3351, 927, 1306, 279, 11117, 13, 220, 9029, 57067, 1203, 323, 13544, 520, 1579, 4732, 682, 927, 430, 3857, 315, 27834, 11, 304, 279, 6278, 315, 682, 279, 8246, 11, 449, 279, 16682, 21971, 29735, 323, 279, 65262, 21971, 12562, 11, 1093, 814, 2351, 473, 1823, 13, 20442, 875, 72, 477, 2555, 382, 2181, 38631, 15550, 258, 988, 757, 430, 1070, 706, 539, 1027, 264, 3682, 11677, 304, 279, 68253, 4892, 74895, 8246, 3686, 13, 220, 358, 1440, 1070, 574, 264, 19094, 4726, 709, 922, 264, 2305, 4227, 449, 264, 10488, 11092, 11, 719, 430, 4459, 3857, 315, 27834, 374, 1120, 264, 21426, 8748, 311, 3621, 1606, 912, 832, 32839, 433, 1093, 264, 8246, 10353, 13, 220, 1102, 596, 49701, 311, 279, 9501, 439, 4330, 34125, 3719, 2380, 304, 7347, 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 ]
[ 128000, 791, 68253, 4892, 374, 1120, 31049, 1314, 1457, 13, 220, 358, 1541, 956, 1093, 10043, 927, 279, 4732, 4017, 304, 264, 8246, 10353, 11, 14224, 11, 323, 994, 499, 2586, 2212, 279, 37920, 1234, 6460, 14689, 6825, 1405, 279, 1403, 34125, 11117, 8800, 279, 1314, 3185, 11, 358, 1456, 311, 4822, 304, 279, 3117, 2163, 311, 1095, 430, 11117, 3621, 13, 220, 358, 1440, 420, 374, 539, 10728, 482, 10043, 279, 4732, 4017, 304, 279, 2163, 21971, 482, 719, 6671, 750, 11, 369, 430, 9575, 315, 1093, 220, 1041, 14006, 11, 358, 1781, 433, 596, 279, 1455, 38761, 3245, 311, 656, 13, 220, 2684, 596, 264, 6908, 3148, 315, 9515, 10043, 1555, 559, 6236, 2779, 34125, 1990, 264, 15860, 315, 30740, 13, 220, 358, 3041, 1124, 3634, 382, 4071, 39526, 82426, 11, 358, 649, 956, 3371, 499, 1268, 1690, 3115, 1063, 10184, 706, 2586, 16706, 709, 4920, 757, 520, 7344, 220, 2031, 323, 2064, 2841, 311, 279, 1314, 353, 20384, 398, 1139, 279, 1403, 34125, 315, 54477, 9629, 9, 1606, 814, 649, 956, 11984, 311, 6678, 279, 4732, 4017, 369, 1093, 220, 966, 6622, 3156, 358, 3351, 927, 1306, 279, 11117, 13, 220, 9029, 57067, 1203, 323, 13544, 520, 1579, 4732, 682, 927, 430, 3857, 315, 27834, 11, 304, 279, 6278, 315, 682, 279, 8246, 11, 449, 279, 16682, 21971, 29735, 323, 279, 65262, 21971, 12562, 11, 1093, 814, 2351, 473, 1823, 13, 20442, 875, 72, 477, 2555, 382, 2181, 38631, 15550, 258, 988, 757, 430, 1070, 706, 539, 1027, 264, 3682, 11677, 304, 279, 68253, 4892, 74895, 8246, 3686, 13, 220, 358, 1440, 1070, 574, 264, 19094, 4726, 709, 922, 264, 2305, 4227, 449, 264, 10488, 11092, 11, 719, 430, 4459, 3857, 315, 27834, 374, 1120, 264, 21426, 8748, 311, 3621, 1606, 912, 832, 32839, 433, 1093, 264, 8246, 10353, 13, 220, 1102, 596, 49701, 311, 279, 9501, 439, 4330, 34125, 3719, 2380, 304, 7347, 3634, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 10086, 7576, 315, 14253, 68846, 441, 198, 10086, 7342, 11, 4648, 11, 11103, 11, 6411, 11, 323, 1023, 7576, 315, 14253, 68846, 441, 520, 1556, 346, 4720, 916, 33003, 369, 7576, 198, 37196, 5814, 612, 12517, 11346, 2758, 3649, 198, 42398, 68846, 441, 320, 9378, 20, 482, 220, 4468, 23, 8, 574, 9405, 389, 6664, 220, 17, 11, 220, 9378, 20, 13, 1283, 574, 9405, 1139, 279, 68846, 441, 3070, 627, 3947, 527, 912, 3967, 47451, 477, 2911, 389, 1052, 369, 14253, 13, 14253, 8636, 304, 5936, 220, 4468, 23, 520, 220, 6086, 1667, 2362, 627, 42398, 68846, 441, 596, 1566, 3967, 22423, 374, 520, 11583, 372, 2176, 11, 32103, 6406, 11, 14689, 627, 1687, 1051, 3025, 311, 23207, 264, 4648, 3335, 369, 14253, 68846, 441, 304, 279, 3723, 4273, 9983, 8398, 11060, 16290, 8167, 320, 1242, 18091, 570, 3639, 374, 279, 37462, 40, 5380, 2028, 15207, 80378, 315, 14253, 68846, 441, 596, 2324, 574, 3549, 555, 279, 38050, 73040, 4029, 12037, 68846, 441, 2758, 3649, 198, 12, 16644, 836, 198, 12, 14253, 198, 12, 328, 399, 986, 198, 12, 68846, 441, 3070, 3925, 198, 12, 8155, 49386, 72860, 198, 12, 11583, 372, 2176, 11, 32103, 6406, 11, 14689, 198, 12, 38916, 198, 7058, 12, 16290, 198, 7058, 12, 29317, 198, 12, 19960, 198, 5519, 499, 1440, 810, 922, 14253, 68846, 441, 5380, 2675, 649, 923, 3649, 311, 420, 2199, 323, 4430, 14253, 596, 3446, 627, 4213, 275, 3620, 2758, 3649, 198, 3947, 374, 912, 2038, 9002, 279, 1536, 275, 3620, 7576, 315, 14253, 627, 12, 36035, 68846, 441, 198, 12, 9787, 198, 12, 10455, 362, 68846, 441, 198, 12, 9787, 198, 12, 40796, 68846, 441, 198, 12, 9787, 198, 12, 43670, 469, 68846, 441, 198, 12, 9787, 198, 12, 24101, 386, 68846, 441, 198, 12, 9787, 198, 12, 2563, 29097, 68846, 441, 198, 12, 9787, 198, 12, 9641, 469, 68846, 441, 198, 12, 9787, 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 ]
[ 128000, 10086, 7576, 315, 14253, 68846, 441, 198, 10086, 7342, 11, 4648, 11, 11103, 11, 6411, 11, 323, 1023, 7576, 315, 14253, 68846, 441, 520, 1556, 346, 4720, 916, 33003, 369, 7576, 198, 37196, 5814, 612, 12517, 11346, 2758, 3649, 198, 42398, 68846, 441, 320, 9378, 20, 482, 220, 4468, 23, 8, 574, 9405, 389, 6664, 220, 17, 11, 220, 9378, 20, 13, 1283, 574, 9405, 1139, 279, 68846, 441, 3070, 627, 3947, 527, 912, 3967, 47451, 477, 2911, 389, 1052, 369, 14253, 13, 14253, 8636, 304, 5936, 220, 4468, 23, 520, 220, 6086, 1667, 2362, 627, 42398, 68846, 441, 596, 1566, 3967, 22423, 374, 520, 11583, 372, 2176, 11, 32103, 6406, 11, 14689, 627, 1687, 1051, 3025, 311, 23207, 264, 4648, 3335, 369, 14253, 68846, 441, 304, 279, 3723, 4273, 9983, 8398, 11060, 16290, 8167, 320, 1242, 18091, 570, 3639, 374, 279, 37462, 40, 5380, 2028, 15207, 80378, 315, 14253, 68846, 441, 596, 2324, 574, 3549, 555, 279, 38050, 73040, 4029, 12037, 68846, 441, 2758, 3649, 198, 12, 16644, 836, 198, 12, 14253, 198, 12, 328, 399, 986, 198, 12, 68846, 441, 3070, 3925, 198, 12, 8155, 49386, 72860, 198, 12, 11583, 372, 2176, 11, 32103, 6406, 11, 14689, 198, 12, 38916, 198, 7058, 12, 16290, 198, 7058, 12, 29317, 198, 12, 19960, 198, 5519, 499, 1440, 810, 922, 14253, 68846, 441, 5380, 2675, 649, 923, 3649, 311, 420, 2199, 323, 4430, 14253, 596, 3446, 627, 4213, 275, 3620, 2758, 3649, 198, 3947, 374, 912, 2038, 9002, 279, 1536, 275, 3620, 7576, 315, 14253, 627, 12, 36035, 68846, 441, 198, 12, 9787, 198, 12, 10455, 362, 68846, 441, 198, 12, 9787, 198, 12, 40796, 68846, 441, 198, 12, 9787, 198, 12, 43670, 469, 68846, 441, 198, 12, 9787, 198, 12, 24101, 386, 68846, 441, 198, 12, 9787, 198, 12, 2563, 29097, 68846, 441, 198, 12, 9787, 198, 12, 9641, 469, 68846, 441, 198, 12, 9787, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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, 1271, 12929, 279, 20303, 4997, 19803, 15357, 512, 12348, 596, 1193, 264, 2766, 315, 2523, 10246, 1, 2127, 6498, 1543, 596, 320, 3455, 59343, 422, 499, 6562, 8, 2162, 374, 813, 33684, 23811, 40, 1053, 2349, 279, 3492, 33684, 311, 6570, 1507, 13, 2684, 4131, 264, 892, 304, 264, 893, 596, 2324, 994, 568, 28727, 311, 636, 5678, 264, 25351, 13, 36625, 422, 433, 596, 264, 14929, 477, 779, 3201, 505, 813, 51688, 323, 389, 459, 85274, 479, 13, 95552, 2418, 596, 85274, 479, 25351, 30, 2209, 433, 1555, 279, 4883, 3321, 30, 3639, 3596, 7077, 311, 279, 5885, 323, 264, 2478, 32947, 449, 9364, 315, 84955, 1570, 26435, 23628, 323, 264, 58769, 3258, 29062, 323, 3419, 36517, 45115, 13, 49932, 956, 433, 5222, 1093, 32450, 13016, 5380, 2059, 291, 893, 15849, 4400, 315, 3339, 36310, 323, 10747, 19826, 13, 8840, 912, 0, 95552, 893, 1120, 3872, 1475, 389, 279, 6558, 304, 459, 17817, 323, 23874, 1523, 323, 12234, 288, 13, 264, 95552, 2418, 5380, 5971, 892, 15687, 4999, 41619, 11, 220, 1591, 5587, 220, 679, 17, 198, 12555, 95552, 2418, 482, 578, 2052, 354, 479, 2501, 198, 24220, 11, 25351, 893, 11, 813, 25351, 11, 8051, 14132, 13365, 43686, 11, 374, 3604, 1633, 1664, 28902, 11, 449, 43732, 315, 13179, 11, 272, 14801, 612, 30673, 11, 682, 2949, 5662, 315, 813, 10954, 11, 902, 374, 3629, 264, 990, 315, 1989, 323, 8246, 45125, 304, 433, 596, 1866, 1314, 627, 78013, 11, 439, 499, 2019, 11, 568, 1101, 706, 264, 98553, 3419, 1481, 616, 1142, 6445, 11245, 45115, 323, 264, 1344, 361, 315, 21522, 11, 323, 264, 27402, 315, 32947, 779, 430, 279, 25351, 9221, 813, 14850, 304, 12688, 11, 439, 1664, 627, 40, 1524, 5602, 832, 25351, 893, 449, 459, 6916, 35296, 11, 28158, 3359, 505, 264, 10936, 358, 1781, 11, 323, 264, 6007, 11, 719, 358, 2646, 5602, 433, 3318, 11, 568, 1253, 617, 1027, 5496, 304, 279, 3987, 430, 9249, 1436, 387, 10487, 304, 279, 3938, 26, 304, 279, 296, 53757, 547, 433, 574, 264, 2294, 16946, 894, 369, 24767, 376, 954, 323, 15600, 26446, 627, 40, 1511, 311, 1093, 856, 25351, 11, 433, 1047, 9249, 11, 53221, 520, 1579, 2237, 505, 279, 3838, 13, 76278, 311, 264, 12703, 842, 994, 2360, 220, 16, 4538, 28537, 813, 3820, 5352, 8800, 279, 6678, 323, 3287, 956, 1935, 813, 326, 81308, 1022, 11, 13541, 279, 36108, 704, 13, 358, 574, 779, 2486, 10020, 4147, 358, 3287, 956, 20753, 311, 8454, 433, 627, 6153, 459, 79953, 323, 35711, 5107, 4883, 315, 19665, 11, 279, 1403, 84187, 471, 311, 279, 35779, 3130, 311, 2349, 627, 3947, 527, 3892, 1023, 14545, 12841, 304, 279, 35779, 3130, 439, 1664, 11, 7556, 48295, 922, 872, 20081, 20101, 13, 362, 6505, 4641, 389, 264, 13731, 25562, 323, 264, 893, 50243, 279, 6206, 1949, 19114, 734, 627, 1, 51812, 1623, 1, 568, 2795, 627, 46639, 2596, 1202, 757, 1210, 264, 5333, 31737, 11, 2564, 11787, 499, 520, 279, 6469, 48469, 58841, 1, 568, 31737, 11, 520, 420, 1486, 5127, 304, 279, 35779, 3130, 18417, 1148, 814, 1051, 3815, 323, 9020, 304, 389, 279, 10652, 627, 54, 1937, 1111, 25, 330, 358, 2846, 520, 279, 34353, 323, 1766, 420, 6366, 18012, 23724, 13, 11699, 1193, 7083, 4728, 627, 3957, 433, 5509, 422, 602, 3780, 433, 48469, 23111, 25, 330, 23371, 733, 8469, 422, 499, 1093, 433, 430, 1790, 10246, 54, 1937, 1111, 25, 330, 40, 1101, 10717, 555, 279, 34328, 62296, 6931, 323, 5602, 279, 6883, 502, 1646, 13, 499, 1440, 11, 279, 832, 602, 2216, 15262, 48469, 23111, 25, 330, 4438, 1790, 48469, 54, 1937, 1111, 25, 330, 22386, 1490, 11, 931, 10246, 23111, 25, 330, 4012, 719, 369, 430, 3430, 602, 1390, 433, 449, 682, 279, 2671, 10246, 54, 1937, 1111, 25, 330, 22111, 0, 14346, 555, 279, 1648, 662, 3011, 3838, 584, 7111, 520, 1566, 1060, 374, 1203, 389, 279, 3157, 814, 2351, 10371, 7083, 26007, 11, 931, 10246, 23111, 25, 330, 11649, 1243, 11, 733, 8469, 323, 1304, 459, 3085, 11, 719, 1193, 3085, 7083, 7467, 11, 931, 10246, 54, 1937, 1111, 3047, 10619, 1243, 358, 4805, 1518, 499, 3010, 0, 358, 3021, 499, 10246, 23111, 3047, 7866, 36, 26828, 11, 358, 3021, 499, 2288, 10246, 12487, 279, 893, 59441, 709, 13, 682, 279, 1023, 14545, 12841, 304, 279, 35779, 3130, 527, 3411, 520, 1461, 304, 10973, 37473, 16409, 627, 12487, 279, 893, 43632, 520, 1124, 323, 2795, 330, 22186, 5606, 1440, 889, 596, 4641, 420, 374, 7673, 1975, 9522, 2181, 10578, 1093, 499, 617, 2322, 364, 2059, 291, 2418, 6, 389, 701, 35292, 356, 3635, 7414, 13, 358, 4510, 304, 35440, 814, 3974, 304, 872, 85274, 479, 77039, 304, 279, 7474, 892, 627, 40, 1093, 701, 24162, 315, 279, 893, 449, 279, 12707, 430, 3250, 956, 990, 13, 19292, 433, 596, 832, 315, 1884, 47691, 3842, 2905, 648, 98778, 67, 12933, 430, 3952, 4330, 4520, 311, 8369, 709, 30, 358, 1781, 279, 25351, 88909, 374, 4762, 264, 893, 3245, 30, 18024, 61752, 311, 387, 264, 50739, 2362, 16749, 11, 628, 1339, 5602, 16174, 11, 3821, 6308, 9235, 11, 1043, 7060, 22180, 323, 8343, 18728, 2171, 57758, 323, 264, 51639, 369, 682, 279, 17971, 63567, 1039, 596, 315, 420, 1917, 627, 2675, 5222, 1093, 25972, 42402, 994, 499, 2019, 512, 1, 2903, 16, 4538, 10246, 12947, 4491, 356, 3635, 7414, 627, 9642, 11, 358, 3077, 14000, 682, 11827, 315, 85274, 479, 43563, 43258, 20968, 704, 315, 47658, 1120, 922, 4395, 11, 98553, 45453, 773, 660, 25826, 25112, 11, 59903, 82, 323, 2362, 14365, 2873, 311, 387, 279, 58034, 11, 449, 2362, 3321, 14418, 32762, 304, 77039, 323, 1101, 439, 9439, 14418, 323, 1524, 6307, 37841, 627, 24220, 11, 433, 2216, 374, 1097, 276, 3245, 11, 1070, 4762, 527, 264, 2478, 3278, 889, 2643, 1304, 330, 70561, 5333, 1, 357, 12119, 11, 719, 358, 3077, 2646, 2322, 904, 627, 3112, 304, 38915, 11, 814, 1005, 279, 85274, 1392, 439, 7474, 31114, 82, 13, 1628, 10057, 13, 1628, 9822, 627, 51290, 11, 1442, 499, 1051, 856, 10177, 11, 358, 4265, 3041, 499, 21109, 627, 38136, 309, 11, 1442, 358, 1051, 701, 10177, 11, 358, 4265, 1935, 433, 4999, 27899, 596, 7160, 65, 44661, 3432, 627, 4897, 596, 264, 48208, 58274, 12929, 358, 1781, 4491, 356, 3635, 7414, 30, 5414, 19214, 32628, 574, 4857, 25878, 14620, 482, 10978, 30, 2100, 358, 23289, 813, 85274, 479, 25351, 1053, 4762, 387, 1903, 315, 11683, 81, 4910, 25878, 30, 4452, 320, 9514, 649, 956, 2019, 11155, 14132, 520, 279, 7314, 315, 264, 11914, 8, 1053, 6307, 19671, 7016, 2187, 1778, 264, 8246, 30, 11215, 2873, 311, 31335, 323, 10491, 279, 4401, 2015, 315, 279, 3838, 323, 279, 893, 3727, 813, 951, 594, 520, 813, 85274, 479, 627, 40, 617, 264, 10334, 4491, 356, 3635, 7414, 430, 1455, 3026, 1053, 5115, 6847, 3974, 304, 264, 28036, 275, 449, 872, 1866, 12707, 8870, 2585, 11, 3485, 264, 523, 46849, 323, 1828, 6134, 311, 264, 6814, 477, 1022, 12, 94306, 2754, 3476, 6469, 5380, 91057, 315, 10057, 482, 36346, 30, 358, 4510, 430, 1455, 35159, 617, 364, 3696, 15872, 6, 12933, 1405, 8420, 649, 1520, 5694, 311, 264, 649, 315, 3831, 78080, 8997, 326, 1435, 994, 3596, 814, 1390, 13, 1102, 3727, 499, 1781, 320, 269, 7172, 8, 3250, 956, 433, 5380, 12947, 4491, 356, 3635, 7414, 627, 9642, 11, 48208, 58274, 11, 832, 315, 1057, 2294, 5415, 5794, 11, 323, 312, 5391, 291, 369, 813, 9235, 320, 15031, 1053, 2019, 14713, 8, 2109, 2117, 556, 627, 16366, 85274, 479, 25351, 1053, 4762, 1205, 9293, 8041, 11, 23162, 77039, 527, 8965, 11928, 439, 13643, 14726, 11, 25878, 6305, 439, 824, 5794, 519, 13, 320, 40, 1781, 340, 13622, 3026, 1053, 37875, 3974, 304, 872, 77039, 11, 1093, 499, 2019, 449, 264, 6007, 11, 13179, 38681, 11, 264, 73418, 323, 459, 24767, 376, 352, 13, 3161, 264, 6814, 323, 523, 46849, 2949, 55944, 6138, 13, 85568, 2915, 3221, 1063, 15326, 20543, 627, 9642, 11, 358, 5602, 264, 4857, 2816, 304, 20437, 11, 279, 2291, 1543, 3782, 4883, 449, 264, 18187, 315, 13179, 11, 719, 539, 279, 3831, 6392, 13, 53940, 1917, 11, 13200, 374, 21501, 505, 6560, 6732, 13, 358, 51068, 304, 264, 8803, 320, 1820, 5684, 53955, 2035, 8, 31209, 13234, 11, 323, 574, 3309, 430, 304, 24067, 11, 13179, 36693, 388, 1051, 38067, 922, 279, 35159, 11, 719, 1193, 538, 356, 13179, 11, 14470, 3428, 13200, 6392, 11, 719, 433, 2011, 2567, 279, 7487, 6380, 13, 662, 702, 27899, 596, 8208, 704, 627, 51290, 48208, 58274, 1101, 15262, 813, 17530, 9339, 423, 3518, 13, 15148, 77, 956, 433, 1403, 477, 220, 18, 27474, 264, 1938, 30, 21834, 422, 358, 574, 304, 6900, 315, 264, 59083, 22685, 358, 4265, 387, 20129, 279, 1948, 28745, 1148, 30, 358, 29695, 311, 2019, 2362, 48208, 596, 32628, 574, 35744, 50137, 482, 27136, 4999, 2675, 2351, 1314, 922, 23162, 77039, 1694, 13643, 14726, 13, 10541, 358, 1097, 3309, 430, 499, 1541, 956, 1205, 904, 9293, 8041, 369, 264, 76875, 477, 26326, 3130, 13, 19292, 584, 1288, 1212, 26984, 9462, 53494, 323, 3815, 264, 8681, 46743, 13, 2435, 12439, 304, 77039, 4999, 22186, 77, 956, 433, 1304, 499, 46789, 323, 41100, 994, 499, 1427, 520, 279, 16558, 7016, 389, 279, 32843, 30, 1472, 649, 7172, 323, 16603, 520, 990, 477, 1524, 304, 264, 9141, 5015, 13, 763, 9635, 477, 14990, 499, 649, 956, 1524, 617, 264, 16603, 304, 264, 3703, 4999, 15546, 3966, 5955, 320, 92050, 8, 39272, 15714, 1304, 1063, 85274, 1392, 449, 77039, 11, 74862, 264, 523, 46849, 11, 1841, 89389, 6412, 323, 264, 20543, 22553, 4999, 12947, 1578, 4491, 356, 3635, 7414, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1271, 12929, 279, 20303, 4997, 19803, 15357, 512, 12348, 596, 1193, 264, 2766, 315, 2523, 10246, 1, 2127, 6498, 1543, 596, 320, 3455, 59343, 422, 499, 6562, 8, 2162, 374, 813, 33684, 23811, 40, 1053, 2349, 279, 3492, 33684, 311, 6570, 1507, 13, 2684, 4131, 264, 892, 304, 264, 893, 596, 2324, 994, 568, 28727, 311, 636, 5678, 264, 25351, 13, 36625, 422, 433, 596, 264, 14929, 477, 779, 3201, 505, 813, 51688, 323, 389, 459, 85274, 479, 13, 95552, 2418, 596, 85274, 479, 25351, 30, 2209, 433, 1555, 279, 4883, 3321, 30, 3639, 3596, 7077, 311, 279, 5885, 323, 264, 2478, 32947, 449, 9364, 315, 84955, 1570, 26435, 23628, 323, 264, 58769, 3258, 29062, 323, 3419, 36517, 45115, 13, 49932, 956, 433, 5222, 1093, 32450, 13016, 5380, 2059, 291, 893, 15849, 4400, 315, 3339, 36310, 323, 10747, 19826, 13, 8840, 912, 0, 95552, 893, 1120, 3872, 1475, 389, 279, 6558, 304, 459, 17817, 323, 23874, 1523, 323, 12234, 288, 13, 264, 95552, 2418, 5380, 5971, 892, 15687, 4999, 41619, 11, 220, 1591, 5587, 220, 679, 17, 198, 12555, 95552, 2418, 482, 578, 2052, 354, 479, 2501, 198, 24220, 11, 25351, 893, 11, 813, 25351, 11, 8051, 14132, 13365, 43686, 11, 374, 3604, 1633, 1664, 28902, 11, 449, 43732, 315, 13179, 11, 272, 14801, 612, 30673, 11, 682, 2949, 5662, 315, 813, 10954, 11, 902, 374, 3629, 264, 990, 315, 1989, 323, 8246, 45125, 304, 433, 596, 1866, 1314, 627, 78013, 11, 439, 499, 2019, 11, 568, 1101, 706, 264, 98553, 3419, 1481, 616, 1142, 6445, 11245, 45115, 323, 264, 1344, 361, 315, 21522, 11, 323, 264, 27402, 315, 32947, 779, 430, 279, 25351, 9221, 813, 14850, 304, 12688, 11, 439, 1664, 627, 40, 1524, 5602, 832, 25351, 893, 449, 459, 6916, 35296, 11, 28158, 3359, 505, 264, 10936, 358, 1781, 11, 323, 264, 6007, 11, 719, 358, 2646, 5602, 433, 3318, 11, 568, 1253, 617, 1027, 5496, 304, 279, 3987, 430, 9249, 1436, 387, 10487, 304, 279, 3938, 26, 304, 279, 296, 53757, 547, 433, 574, 264, 2294, 16946, 894, 369, 24767, 376, 954, 323, 15600, 26446, 627, 40, 1511, 311, 1093, 856, 25351, 11, 433, 1047, 9249, 11, 53221, 520, 1579, 2237, 505, 279, 3838, 13, 76278, 311, 264, 12703, 842, 994, 2360, 220, 16, 4538, 28537, 813, 3820, 5352, 8800, 279, 6678, 323, 3287, 956, 1935, 813, 326, 81308, 1022, 11, 13541, 279, 36108, 704, 13, 358, 574, 779, 2486, 10020, 4147, 358, 3287, 956, 20753, 311, 8454, 433, 627, 6153, 459, 79953, 323, 35711, 5107, 4883, 315, 19665, 11, 279, 1403, 84187, 471, 311, 279, 35779, 3130, 311, 2349, 627, 3947, 527, 3892, 1023, 14545, 12841, 304, 279, 35779, 3130, 439, 1664, 11, 7556, 48295, 922, 872, 20081, 20101, 13, 362, 6505, 4641, 389, 264, 13731, 25562, 323, 264, 893, 50243, 279, 6206, 1949, 19114, 734, 627, 1, 51812, 1623, 1, 568, 2795, 627, 46639, 2596, 1202, 757, 1210, 264, 5333, 31737, 11, 2564, 11787, 499, 520, 279, 6469, 48469, 58841, 1, 568, 31737, 11, 520, 420, 1486, 5127, 304, 279, 35779, 3130, 18417, 1148, 814, 1051, 3815, 323, 9020, 304, 389, 279, 10652, 627, 54, 1937, 1111, 25, 330, 358, 2846, 520, 279, 34353, 323, 1766, 420, 6366, 18012, 23724, 13, 11699, 1193, 7083, 4728, 627, 3957, 433, 5509, 422, 602, 3780, 433, 48469, 23111, 25, 330, 23371, 733, 8469, 422, 499, 1093, 433, 430, 1790, 10246, 54, 1937, 1111, 25, 330, 40, 1101, 10717, 555, 279, 34328, 62296, 6931, 323, 5602, 279, 6883, 502, 1646, 13, 499, 1440, 11, 279, 832, 602, 2216, 15262, 48469, 23111, 25, 330, 4438, 1790, 48469, 54, 1937, 1111, 25, 330, 22386, 1490, 11, 931, 10246, 23111, 25, 330, 4012, 719, 369, 430, 3430, 602, 1390, 433, 449, 682, 279, 2671, 10246, 54, 1937, 1111, 25, 330, 22111, 0, 14346, 555, 279, 1648, 662, 3011, 3838, 584, 7111, 520, 1566, 1060, 374, 1203, 389, 279, 3157, 814, 2351, 10371, 7083, 26007, 11, 931, 10246, 23111, 25, 330, 11649, 1243, 11, 733, 8469, 323, 1304, 459, 3085, 11, 719, 1193, 3085, 7083, 7467, 11, 931, 10246, 54, 1937, 1111, 3047, 10619, 1243, 358, 4805, 1518, 499, 3010, 0, 358, 3021, 499, 10246, 23111, 3047, 7866, 36, 26828, 11, 358, 3021, 499, 2288, 10246, 12487, 279, 893, 59441, 709, 13, 682, 279, 1023, 14545, 12841, 304, 279, 35779, 3130, 527, 3411, 520, 1461, 304, 10973, 37473, 16409, 627, 12487, 279, 893, 43632, 520, 1124, 323, 2795, 330, 22186, 5606, 1440, 889, 596, 4641, 420, 374, 7673, 1975, 9522, 2181, 10578, 1093, 499, 617, 2322, 364, 2059, 291, 2418, 6, 389, 701, 35292, 356, 3635, 7414, 13, 358, 4510, 304, 35440, 814, 3974, 304, 872, 85274, 479, 77039, 304, 279, 7474, 892, 627, 40, 1093, 701, 24162, 315, 279, 893, 449, 279, 12707, 430, 3250, 956, 990, 13, 19292, 433, 596, 832, 315, 1884, 47691, 3842, 2905, 648, 98778, 67, 12933, 430, 3952, 4330, 4520, 311, 8369, 709, 30, 358, 1781, 279, 25351, 88909, 374, 4762, 264, 893, 3245, 30, 18024, 61752, 311, 387, 264, 50739, 2362, 16749, 11, 628, 1339, 5602, 16174, 11, 3821, 6308, 9235, 11, 1043, 7060, 22180, 323, 8343, 18728, 2171, 57758, 323, 264, 51639, 369, 682, 279, 17971, 63567, 1039, 596, 315, 420, 1917, 627, 2675, 5222, 1093, 25972, 42402, 994, 499, 2019, 512, 1, 2903, 16, 4538, 10246, 12947, 4491, 356, 3635, 7414, 627, 9642, 11, 358, 3077, 14000, 682, 11827, 315, 85274, 479, 43563, 43258, 20968, 704, 315, 47658, 1120, 922, 4395, 11, 98553, 45453, 773, 660, 25826, 25112, 11, 59903, 82, 323, 2362, 14365, 2873, 311, 387, 279, 58034, 11, 449, 2362, 3321, 14418, 32762, 304, 77039, 323, 1101, 439, 9439, 14418, 323, 1524, 6307, 37841, 627, 24220, 11, 433, 2216, 374, 1097, 276, 3245, 11, 1070, 4762, 527, 264, 2478, 3278, 889, 2643, 1304, 330, 70561, 5333, 1, 357, 12119, 11, 719, 358, 3077, 2646, 2322, 904, 627, 3112, 304, 38915, 11, 814, 1005, 279, 85274, 1392, 439, 7474, 31114, 82, 13, 1628, 10057, 13, 1628, 9822, 627, 51290, 11, 1442, 499, 1051, 856, 10177, 11, 358, 4265, 3041, 499, 21109, 627, 38136, 309, 11, 1442, 358, 1051, 701, 10177, 11, 358, 4265, 1935, 433, 4999, 27899, 596, 7160, 65, 44661, 3432, 627, 4897, 596, 264, 48208, 58274, 12929, 358, 1781, 4491, 356, 3635, 7414, 30, 5414, 19214, 32628, 574, 4857, 25878, 14620, 482, 10978, 30, 2100, 358, 23289, 813, 85274, 479, 25351, 1053, 4762, 387, 1903, 315, 11683, 81, 4910, 25878, 30, 4452, 320, 9514, 649, 956, 2019, 11155, 14132, 520, 279, 7314, 315, 264, 11914, 8, 1053, 6307, 19671, 7016, 2187, 1778, 264, 8246, 30, 11215, 2873, 311, 31335, 323, 10491, 279, 4401, 2015, 315, 279, 3838, 323, 279, 893, 3727, 813, 951, 594, 520, 813, 85274, 479, 627, 40, 617, 264, 10334, 4491, 356, 3635, 7414, 430, 1455, 3026, 1053, 5115, 6847, 3974, 304, 264, 28036, 275, 449, 872, 1866, 12707, 8870, 2585, 11, 3485, 264, 523, 46849, 323, 1828, 6134, 311, 264, 6814, 477, 1022, 12, 94306, 2754, 3476, 6469, 5380, 91057, 315, 10057, 482, 36346, 30, 358, 4510, 430, 1455, 35159, 617, 364, 3696, 15872, 6, 12933, 1405, 8420, 649, 1520, 5694, 311, 264, 649, 315, 3831, 78080, 8997, 326, 1435, 994, 3596, 814, 1390, 13, 1102, 3727, 499, 1781, 320, 269, 7172, 8, 3250, 956, 433, 5380, 12947, 4491, 356, 3635, 7414, 627, 9642, 11, 48208, 58274, 11, 832, 315, 1057, 2294, 5415, 5794, 11, 323, 312, 5391, 291, 369, 813, 9235, 320, 15031, 1053, 2019, 14713, 8, 2109, 2117, 556, 627, 16366, 85274, 479, 25351, 1053, 4762, 1205, 9293, 8041, 11, 23162, 77039, 527, 8965, 11928, 439, 13643, 14726, 11, 25878, 6305, 439, 824, 5794, 519, 13, 320, 40, 1781, 340, 13622, 3026, 1053, 37875, 3974, 304, 872, 77039, 11, 1093, 499, 2019, 449, 264, 6007, 11, 13179, 38681, 11, 264, 73418, 323, 459, 24767, 376, 352, 13, 3161, 264, 6814, 323, 523, 46849, 2949, 55944, 6138, 13, 85568, 2915, 3221, 1063, 15326, 20543, 627, 9642, 11, 358, 5602, 264, 4857, 2816, 304, 20437, 11, 279, 2291, 1543, 3782, 4883, 449, 264, 18187, 315, 13179, 11, 719, 539, 279, 3831, 6392, 13, 53940, 1917, 11, 13200, 374, 21501, 505, 6560, 6732, 13, 358, 51068, 304, 264, 8803, 320, 1820, 5684, 53955, 2035, 8, 31209, 13234, 11, 323, 574, 3309, 430, 304, 24067, 11, 13179, 36693, 388, 1051, 38067, 922, 279, 35159, 11, 719, 1193, 538, 356, 13179, 11, 14470, 3428, 13200, 6392, 11, 719, 433, 2011, 2567, 279, 7487, 6380, 13, 662, 702, 27899, 596, 8208, 704, 627, 51290, 48208, 58274, 1101, 15262, 813, 17530, 9339, 423, 3518, 13, 15148, 77, 956, 433, 1403, 477, 220, 18, 27474, 264, 1938, 30, 21834, 422, 358, 574, 304, 6900, 315, 264, 59083, 22685, 358, 4265, 387, 20129, 279, 1948, 28745, 1148, 30, 358, 29695, 311, 2019, 2362, 48208, 596, 32628, 574, 35744, 50137, 482, 27136, 4999, 2675, 2351, 1314, 922, 23162, 77039, 1694, 13643, 14726, 13, 10541, 358, 1097, 3309, 430, 499, 1541, 956, 1205, 904, 9293, 8041, 369, 264, 76875, 477, 26326, 3130, 13, 19292, 584, 1288, 1212, 26984, 9462, 53494, 323, 3815, 264, 8681, 46743, 13, 2435, 12439, 304, 77039, 4999, 22186, 77, 956, 433, 1304, 499, 46789, 323, 41100, 994, 499, 1427, 520, 279, 16558, 7016, 389, 279, 32843, 30, 1472, 649, 7172, 323, 16603, 520, 990, 477, 1524, 304, 264, 9141, 5015, 13, 763, 9635, 477, 14990, 499, 649, 956, 1524, 617, 264, 16603, 304, 264, 3703, 4999, 15546, 3966, 5955, 320, 92050, 8, 39272, 15714, 1304, 1063, 85274, 1392, 449, 77039, 11, 74862, 264, 523, 46849, 11, 1841, 89389, 6412, 323, 264, 20543, 22553, 4999, 12947, 1578, 4491, 356, 3635, 7414, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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 ]
1,601
[ 128000, 2746, 499, 1051, 832, 315, 279, 8592, 7318, 46276, 388, 315, 279, 1060, 11, 1268, 1053, 499, 2733, 922, 3515, 701, 3663, 389, 279, 3504, 315, 48381, 369, 682, 279, 1917, 311, 1518, 30, 18056, 433, 1253, 5222, 15206, 11, 14132, 3278, 8541, 311, 33394, 3201, 505, 420, 955, 315, 3577, 10401, 1389, 779, 2795, 73227, 31421, 13, 578, 12093, 277, 23597, 323, 3663, 389, 279, 3504, 315, 420, 2305, 753, 48381, 6944, 311, 3708, 279, 1984, 430, 433, 753, 17339, 369, 3278, 311, 387, 279, 13697, 1981, 54760, 4999, 2822, 832, 1053, 18046, 430, 279, 2477, 6917, 374, 539, 3318, 2653, 439, 1364, 6051, 9670, 1077, 2394, 57245, 4435, 14986, 10917, 389, 264, 63969, 220, 9390, 5039, 13, 12220, 1077, 7364, 279, 23597, 20547, 291, 927, 400, 17, 3610, 824, 3363, 323, 400, 508, 264, 2010, 304, 36045, 6763, 13, 48381, 17989, 430, 1364, 15662, 400, 8878, 3610, 1566, 1060, 323, 374, 21682, 1396, 220, 18, 704, 315, 220, 1041, 1948, 46276, 388, 315, 220, 679, 20, 627, 3923, 656, 499, 1781, 315, 73227, 31421, 753, 5652, 48381, 3504, 5380, 5519, 499, 1781, 1364, 374, 11889, 459, 57314, 1984, 311, 3278, 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 ]
[ 128000, 2746, 499, 1051, 832, 315, 279, 8592, 7318, 46276, 388, 315, 279, 1060, 11, 1268, 1053, 499, 2733, 922, 3515, 701, 3663, 389, 279, 3504, 315, 48381, 369, 682, 279, 1917, 311, 1518, 30, 18056, 433, 1253, 5222, 15206, 11, 14132, 3278, 8541, 311, 33394, 3201, 505, 420, 955, 315, 3577, 10401, 1389, 779, 2795, 73227, 31421, 13, 578, 12093, 277, 23597, 323, 3663, 389, 279, 3504, 315, 420, 2305, 753, 48381, 6944, 311, 3708, 279, 1984, 430, 433, 753, 17339, 369, 3278, 311, 387, 279, 13697, 1981, 54760, 4999, 2822, 832, 1053, 18046, 430, 279, 2477, 6917, 374, 539, 3318, 2653, 439, 1364, 6051, 9670, 1077, 2394, 57245, 4435, 14986, 10917, 389, 264, 63969, 220, 9390, 5039, 13, 12220, 1077, 7364, 279, 23597, 20547, 291, 927, 400, 17, 3610, 824, 3363, 323, 400, 508, 264, 2010, 304, 36045, 6763, 13, 48381, 17989, 430, 1364, 15662, 400, 8878, 3610, 1566, 1060, 323, 374, 21682, 1396, 220, 18, 704, 315, 220, 1041, 1948, 46276, 388, 315, 220, 679, 20, 627, 3923, 656, 499, 1781, 315, 73227, 31421, 753, 5652, 48381, 3504, 5380, 5519, 499, 1781, 1364, 374, 11889, 459, 57314, 1984, 311, 3278, 30, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 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
[ 128000, 92904, 3297, 323, 13041, 1885, 527, 856, 20343, 13, 220, 1666, 358, 3136, 311, 5276, 856, 2547, 1139, 264, 37959, 19071, 75214, 358, 690, 5357, 389, 856, 44667, 323, 10772, 369, 10671, 264, 2539, 8479, 13, 358, 690, 3719, 856, 1866, 79657, 13, 31946, 25, 31946, 374, 3062, 311, 459, 8479, 11, 323, 311, 264, 25902, 13, 1472, 2646, 1440, 994, 358, 690, 387, 11689, 3235, 279, 6964, 315, 264, 4857, 1579, 927, 1561, 4356, 4409, 13, 36772, 18972, 856, 14535, 25, 11717, 22095, 5435, 527, 539, 369, 13307, 13, 2360, 13, 1226, 7940, 11, 10536, 11, 26438, 11, 1629, 13, 36772, 18972, 856, 2547, 25, 32937, 8244, 374, 2555, 358, 1205, 311, 990, 389, 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 ]
[ 128000, 92904, 3297, 323, 13041, 1885, 527, 856, 20343, 13, 220, 1666, 358, 3136, 311, 5276, 856, 2547, 1139, 264, 37959, 19071, 75214, 358, 690, 5357, 389, 856, 44667, 323, 10772, 369, 10671, 264, 2539, 8479, 13, 358, 690, 3719, 856, 1866, 79657, 13, 31946, 25, 31946, 374, 3062, 311, 459, 8479, 11, 323, 311, 264, 25902, 13, 1472, 2646, 1440, 994, 358, 690, 387, 11689, 3235, 279, 6964, 315, 264, 4857, 1579, 927, 1561, 4356, 4409, 13, 36772, 18972, 856, 14535, 25, 11717, 22095, 5435, 527, 539, 369, 13307, 13, 2360, 13, 1226, 7940, 11, 10536, 11, 26438, 11, 1629, 13, 36772, 18972, 856, 2547, 25, 32937, 8244, 374, 2555, 358, 1205, 311, 990, 389, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117 ]
118