Search is not available for this dataset
input_ids
sequencelengths
59
2.05k
labels
sequencelengths
59
2.05k
attention_mask
sequencelengths
59
2.05k
position_ids
sequencelengths
59
2.05k
[ 128000, 47, 55994, 1389, 10541, 423, 526, 13000, 423, 2234, 574, 9405, 323, 14264, 709, 25355, 11, 279, 4339, 1054, 95154, 12682, 863, 323, 1054, 64818, 273, 17723, 863, 527, 2744, 304, 279, 4851, 315, 279, 49577, 5426, 304, 30567, 13, 36625, 11, 568, 11321, 2216, 7882, 994, 14624, 311, 279, 4339, 1054, 64818, 273, 17723, 113068, 68744, 7493, 198, 48567, 311, 6604, 1054, 64818, 273, 17723, 863, 1176, 198, 4599, 51521, 17723, 1550, 30191, 7640, 304, 30567, 2391, 220, 5926, 23, 323, 220, 5926, 24, 11, 423, 526, 13000, 423, 2234, 1047, 539, 3686, 1027, 9405, 13, 2030, 994, 568, 574, 1633, 2678, 11, 568, 3629, 34793, 311, 31687, 7493, 922, 279, 28530, 7808, 315, 279, 49577, 14110, 13, 4314, 5343, 279, 7493, 922, 279, 2324, 323, 30191, 7640, 315, 51521, 17723, 627, 644, 220, 5926, 23, 11, 51521, 17723, 24026, 304, 3297, 13824, 1169, 304, 452, 22506, 263, 2405, 276, 316, 11, 30567, 13, 578, 13824, 1169, 574, 2162, 311, 22540, 315, 49577, 57011, 323, 9093, 11, 49577, 1274, 1070, 2103, 34683, 279, 49577, 32006, 13, 13538, 9564, 279, 13824, 1169, 11, 51521, 17723, 39441, 264, 1080, 263, 332, 5021, 323, 264, 270, 29400, 13, 578, 270, 29400, 374, 1457, 264, 6574, 2035, 369, 49577, 57011, 1070, 13, 49577, 57011, 9762, 304, 1234, 1202, 28601, 389, 5426, 3008, 1986, 5548, 11, 1778, 439, 51521, 17723, 753, 15553, 320, 11356, 220, 777, 339, 705, 5165, 44177, 6187, 320, 30649, 220, 17, 303, 8, 323, 79195, 1561, 9941, 11, 89746, 19459, 922, 279, 3224, 323, 51521, 17723, 13, 39669, 398, 1274, 304, 279, 13824, 1169, 3309, 430, 994, 5496, 304, 279, 13824, 1169, 11, 51521, 17723, 6575, 3871, 449, 2254, 20957, 11, 6818, 311, 4048, 27490, 323, 15972, 49577, 311, 2254, 2911, 627, 791, 7493, 922, 279, 5426, 2294, 7808, 1054, 65, 6478, 709, 863, 4491, 13, 423, 2234, 323, 26081, 304, 30567, 13, 1054, 4599, 358, 574, 220, 17, 1667, 2362, 323, 4048, 311, 6604, 11, 279, 1176, 4339, 358, 293, 12806, 839, 1051, 3451, 59883, 20182, 3451, 35, 329, 529, 323, 3451, 64818, 273, 17723, 529, 2476, 568, 1071, 627, 5966, 2305, 11, 4491, 13, 423, 2234, 1047, 2294, 34662, 994, 568, 574, 264, 4562, 315, 279, 46361, 315, 25355, 49577, 24435, 304, 279, 220, 679, 18, 26604, 24980, 16290, 47898, 47516, 5762, 555, 279, 3314, 10554, 369, 86403, 300, 49577, 1234, 279, 23315, 19620, 9947, 1334, 20214, 13, 12220, 279, 18629, 11, 279, 46361, 12263, 279, 12925, 14128, 6649, 292, 13207, 304, 1183, 69895, 14433, 79245, 11, 14433, 121765, 9474, 11, 117872, 17343, 17271, 13, 4968, 4776, 77488, 2577, 26457, 11, 1405, 51521, 17723, 12439, 11, 6575, 323, 15910, 279, 49577, 30191, 19567, 2391, 279, 13957, 4208, 2403, 8753, 15235, 1705, 11, 4491, 13, 423, 2234, 323, 1023, 36159, 6612, 1633, 24891, 13, 4491, 13, 423, 2234, 574, 31687, 389, 279, 4382, 23162, 4950, 11, 1405, 51521, 17723, 46498, 11, 323, 21165, 311, 16106, 13, 1283, 58366, 311, 51521, 17723, 430, 568, 1053, 387, 264, 4538, 315, 279, 20941, 1974, 16058, 323, 1456, 813, 1888, 311, 23528, 279, 51521, 17723, 753, 7095, 323, 3021, 369, 25355, 49577, 627, 48567, 49577, 311, 4034, 2162, 3224, 198, 16179, 9405, 323, 7982, 709, 304, 30567, 11, 423, 526, 13000, 423, 2234, 1047, 7543, 1790, 892, 311, 4048, 49577, 323, 6818, 311, 31435, 45319, 304, 49577, 13, 1283, 1101, 50350, 555, 4851, 1690, 49577, 45319, 11, 5423, 76534, 9863, 555, 3389, 40360, 2057, 22546, 84, 627, 1548, 1071, 430, 2391, 279, 5426, 4208, 2403, 3778, 91321, 11, 4398, 1990, 23315, 323, 30567, 1051, 539, 1695, 323, 9093, 11, 433, 574, 5107, 369, 49577, 57011, 304, 30567, 311, 4048, 49577, 13, 2030, 856, 13500, 26534, 323, 6699, 4691, 682, 3697, 315, 1057, 2294, 3070, 311, 6604, 49577, 520, 2162, 13, 23212, 11, 568, 11021, 49577, 6603, 323, 32594, 311, 4048, 49577, 449, 264, 3987, 430, 832, 1938, 568, 1436, 4034, 813, 56336, 627, 644, 220, 1049, 15, 11, 568, 574, 1633, 6380, 994, 568, 574, 11938, 49577, 33779, 13, 8876, 1243, 11, 568, 3629, 21728, 279, 20941, 1974, 323, 16495, 10708, 311, 17210, 311, 279, 20941, 1974, 13, 1666, 279, 7690, 315, 264, 8246, 2883, 304, 30567, 11, 568, 6197, 264, 1396, 315, 27490, 5220, 311, 23315, 311, 6056, 2626, 10708, 304, 279, 3224, 13, 12220, 279, 4034, 311, 117872, 17343, 11, 568, 1047, 459, 4623, 311, 30714, 813, 27490, 4885, 58394, 304, 30029, 311, 6136, 27490, 70368, 304, 279, 49577, 18671, 17271, 627, 10378, 2744, 1390, 311, 17210, 311, 4857, 1057, 56336, 311, 387, 9257, 323, 6366, 439, 51521, 17723, 37287, 13, 358, 3987, 430, 810, 1109, 220, 19, 3610, 49577, 57011, 5496, 304, 7362, 5961, 4028, 279, 1917, 690, 1456, 872, 1888, 311, 17210, 810, 311, 279, 20941, 1974, 2476, 279, 49577, 5426, 304, 30567, 1071, 627, 82116, 555, 17723, 526, 3489, 276, 128001 ]
[ -100, 47, 55994, 1389, 10541, 423, 526, 13000, 423, 2234, 574, 9405, 323, 14264, 709, 25355, 11, 279, 4339, 1054, 95154, 12682, 863, 323, 1054, 64818, 273, 17723, 863, 527, 2744, 304, 279, 4851, 315, 279, 49577, 5426, 304, 30567, 13, 36625, 11, 568, 11321, 2216, 7882, 994, 14624, 311, 279, 4339, 1054, 64818, 273, 17723, 113068, 68744, 7493, 198, 48567, 311, 6604, 1054, 64818, 273, 17723, 863, 1176, 198, 4599, 51521, 17723, 1550, 30191, 7640, 304, 30567, 2391, 220, 5926, 23, 323, 220, 5926, 24, 11, 423, 526, 13000, 423, 2234, 1047, 539, 3686, 1027, 9405, 13, 2030, 994, 568, 574, 1633, 2678, 11, 568, 3629, 34793, 311, 31687, 7493, 922, 279, 28530, 7808, 315, 279, 49577, 14110, 13, 4314, 5343, 279, 7493, 922, 279, 2324, 323, 30191, 7640, 315, 51521, 17723, 627, 644, 220, 5926, 23, 11, 51521, 17723, 24026, 304, 3297, 13824, 1169, 304, 452, 22506, 263, 2405, 276, 316, 11, 30567, 13, 578, 13824, 1169, 574, 2162, 311, 22540, 315, 49577, 57011, 323, 9093, 11, 49577, 1274, 1070, 2103, 34683, 279, 49577, 32006, 13, 13538, 9564, 279, 13824, 1169, 11, 51521, 17723, 39441, 264, 1080, 263, 332, 5021, 323, 264, 270, 29400, 13, 578, 270, 29400, 374, 1457, 264, 6574, 2035, 369, 49577, 57011, 1070, 13, 49577, 57011, 9762, 304, 1234, 1202, 28601, 389, 5426, 3008, 1986, 5548, 11, 1778, 439, 51521, 17723, 753, 15553, 320, 11356, 220, 777, 339, 705, 5165, 44177, 6187, 320, 30649, 220, 17, 303, 8, 323, 79195, 1561, 9941, 11, 89746, 19459, 922, 279, 3224, 323, 51521, 17723, 13, 39669, 398, 1274, 304, 279, 13824, 1169, 3309, 430, 994, 5496, 304, 279, 13824, 1169, 11, 51521, 17723, 6575, 3871, 449, 2254, 20957, 11, 6818, 311, 4048, 27490, 323, 15972, 49577, 311, 2254, 2911, 627, 791, 7493, 922, 279, 5426, 2294, 7808, 1054, 65, 6478, 709, 863, 4491, 13, 423, 2234, 323, 26081, 304, 30567, 13, 1054, 4599, 358, 574, 220, 17, 1667, 2362, 323, 4048, 311, 6604, 11, 279, 1176, 4339, 358, 293, 12806, 839, 1051, 3451, 59883, 20182, 3451, 35, 329, 529, 323, 3451, 64818, 273, 17723, 529, 2476, 568, 1071, 627, 5966, 2305, 11, 4491, 13, 423, 2234, 1047, 2294, 34662, 994, 568, 574, 264, 4562, 315, 279, 46361, 315, 25355, 49577, 24435, 304, 279, 220, 679, 18, 26604, 24980, 16290, 47898, 47516, 5762, 555, 279, 3314, 10554, 369, 86403, 300, 49577, 1234, 279, 23315, 19620, 9947, 1334, 20214, 13, 12220, 279, 18629, 11, 279, 46361, 12263, 279, 12925, 14128, 6649, 292, 13207, 304, 1183, 69895, 14433, 79245, 11, 14433, 121765, 9474, 11, 117872, 17343, 17271, 13, 4968, 4776, 77488, 2577, 26457, 11, 1405, 51521, 17723, 12439, 11, 6575, 323, 15910, 279, 49577, 30191, 19567, 2391, 279, 13957, 4208, 2403, 8753, 15235, 1705, 11, 4491, 13, 423, 2234, 323, 1023, 36159, 6612, 1633, 24891, 13, 4491, 13, 423, 2234, 574, 31687, 389, 279, 4382, 23162, 4950, 11, 1405, 51521, 17723, 46498, 11, 323, 21165, 311, 16106, 13, 1283, 58366, 311, 51521, 17723, 430, 568, 1053, 387, 264, 4538, 315, 279, 20941, 1974, 16058, 323, 1456, 813, 1888, 311, 23528, 279, 51521, 17723, 753, 7095, 323, 3021, 369, 25355, 49577, 627, 48567, 49577, 311, 4034, 2162, 3224, 198, 16179, 9405, 323, 7982, 709, 304, 30567, 11, 423, 526, 13000, 423, 2234, 1047, 7543, 1790, 892, 311, 4048, 49577, 323, 6818, 311, 31435, 45319, 304, 49577, 13, 1283, 1101, 50350, 555, 4851, 1690, 49577, 45319, 11, 5423, 76534, 9863, 555, 3389, 40360, 2057, 22546, 84, 627, 1548, 1071, 430, 2391, 279, 5426, 4208, 2403, 3778, 91321, 11, 4398, 1990, 23315, 323, 30567, 1051, 539, 1695, 323, 9093, 11, 433, 574, 5107, 369, 49577, 57011, 304, 30567, 311, 4048, 49577, 13, 2030, 856, 13500, 26534, 323, 6699, 4691, 682, 3697, 315, 1057, 2294, 3070, 311, 6604, 49577, 520, 2162, 13, 23212, 11, 568, 11021, 49577, 6603, 323, 32594, 311, 4048, 49577, 449, 264, 3987, 430, 832, 1938, 568, 1436, 4034, 813, 56336, 627, 644, 220, 1049, 15, 11, 568, 574, 1633, 6380, 994, 568, 574, 11938, 49577, 33779, 13, 8876, 1243, 11, 568, 3629, 21728, 279, 20941, 1974, 323, 16495, 10708, 311, 17210, 311, 279, 20941, 1974, 13, 1666, 279, 7690, 315, 264, 8246, 2883, 304, 30567, 11, 568, 6197, 264, 1396, 315, 27490, 5220, 311, 23315, 311, 6056, 2626, 10708, 304, 279, 3224, 13, 12220, 279, 4034, 311, 117872, 17343, 11, 568, 1047, 459, 4623, 311, 30714, 813, 27490, 4885, 58394, 304, 30029, 311, 6136, 27490, 70368, 304, 279, 49577, 18671, 17271, 627, 10378, 2744, 1390, 311, 17210, 311, 4857, 1057, 56336, 311, 387, 9257, 323, 6366, 439, 51521, 17723, 37287, 13, 358, 3987, 430, 810, 1109, 220, 19, 3610, 49577, 57011, 5496, 304, 7362, 5961, 4028, 279, 1917, 690, 1456, 872, 1888, 311, 17210, 810, 311, 279, 20941, 1974, 2476, 279, 49577, 5426, 304, 30567, 1071, 627, 82116, 555, 17723, 526, 3489, 276, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 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 ]
[ 128000, 1050, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 3566, 39142, 301, 1389, 15957, 220, 15574, 15, 1389, 1952, 279, 6383, 713, 315, 5111, 11, 51363, 18811, 35622, 10269, 17661, 4284, 2320, 16, 198, 28259, 220, 21, 11, 220, 2366, 17, 198, 64818, 58711, 198, 697, 38296, 58463, 198, 644, 59041, 58162, 1050, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 8091, 1389, 15957, 220, 15574, 15, 1389, 1952, 279, 6383, 713, 315, 5111, 11, 51363, 18811, 35622, 39025, 22553, 12929, 2320, 16, 198, 19480, 301, 4235, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 4235, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 198, 26072, 220, 15574, 15, 1389, 1952, 279, 6383, 713, 315, 5111, 11, 51363, 18811, 35622, 26682, 49715, 198, 7816, 1109, 220, 605, 2307, 78404, 1047, 41165, 304, 14637, 12404, 1974, 6344, 55422, 13, 7570, 2085, 369, 3187, 279, 12538, 819, 4435, 753, 23579, 11, 1070, 1051, 42853, 19738, 23579, 311, 6381, 2360, 35622, 753, 31402, 627, 4071, 69984, 23126, 327, 258, 12457, 2646, 6646, 430, 274, 870, 8777, 60252, 43758, 649, 387, 69510, 3403, 311, 3708, 704, 11220, 3581, 7918, 2895, 258, 311, 57309, 279, 5370, 2307, 78404, 779, 2216, 13, 1283, 43890, 8659, 34373, 35118, 420, 892, 2212, 4999, 2118, 66173, 0, 34863, 16358, 0, 7570, 1457, 11, 56647, 912, 35622, 2103, 74157, 779, 6520, 3948, 1570, 0, 9393, 279, 6693, 358, 11096, 480, 14778, 962, 753, 13207, 11, 358, 617, 2646, 1766, 420, 955, 315, 66153, 33592, 18319, 198, 10378, 1781, 499, 2103, 617, 264, 1099, 20132, 927, 26156, 311, 12538, 28296, 6785, 11, 1229, 123550, 18319, 279, 97119, 53613, 22916, 6140, 1578, 11, 43560, 2785, 304, 279, 81234, 13479, 32370, 1229, 123550, 50028, 813, 1648, 627, 91084, 11, 4311, 2391, 279, 19865, 43890, 66982, 3345, 5357, 389, 279, 653, 95444, 481, 4717, 69984, 23126, 327, 258, 1047, 18719, 11, 323, 11220, 3581, 7918, 79405, 19117, 1431, 6818, 311, 2744, 2567, 1077, 16630, 315, 7899, 45578, 13, 14636, 11, 1306, 1077, 18489, 11, 21847, 2751, 21536, 304, 279, 60891, 23991, 439, 5127, 45135, 520, 1077, 304, 37473, 16409, 627, 10156, 439, 1603, 11, 279, 23991, 12504, 4648, 398, 21737, 90578, 51290, 33305, 10016, 323, 279, 14319, 3468, 267, 3833, 23707, 198, 12834, 279, 5348, 4435, 753, 13875, 403, 367, 25166, 574, 45955, 11, 433, 1253, 1664, 5042, 387, 264, 3488, 315, 892, 8469, 315, 12538, 819, 9029, 10409, 1139, 3658, 20994, 23591, 10683, 20585, 13, 578, 4553, 38182, 220, 1041, 6913, 5754, 2472, 374, 304, 31397, 11, 439, 574, 32245, 11046, 12404, 1974, 6344, 55422, 627, 73741, 3062, 13736, 529, 40531, 3940, 704, 42247, 24059, 5694, 994, 814, 3970, 279, 32647, 21976, 617, 2523, 449, 704, 13, 2435, 1436, 20781, 2733, 56647, 912, 35622, 753, 7865, 13, 2290, 315, 1124, 43890, 2631, 279, 33592, 311, 8108, 682, 4509, 4377, 1603, 279, 5370, 2307, 78404, 529, 24005, 627, 65002, 1243, 44725, 369, 9096, 11, 56647, 4400, 35622, 706, 76310, 4423, 311, 51152, 279, 12457, 2307, 78404, 505, 279, 3663, 13, 578, 33592, 1205, 311, 387, 23351, 4999, 285, 279, 502, 29315, 5922, 433, 198, 2746, 568, 19117, 1431, 1027, 2771, 430, 11220, 3581, 7918, 2895, 258, 574, 539, 1063, 21930, 439, 1664, 439, 459, 22785, 1925, 12637, 4562, 304, 2360, 35622, 11, 889, 12457, 6575, 1664, 1077, 1648, 4871, 279, 13656, 11, 568, 1053, 4070, 24740, 14614, 13, 6385, 5224, 574, 32367, 264, 33304, 7119, 279, 3892, 2307, 78404, 323, 1053, 38048, 3063, 311, 56647, 912, 35622, 753, 6514, 505, 20534, 9439, 12531, 20585, 627, 2170, 264, 1121, 315, 18811, 35622, 11, 33405, 31396, 753, 1695, 17444, 389, 16537, 18207, 55365, 19426, 28214, 11, 719, 420, 3187, 574, 1633, 2204, 627, 1548, 10534, 2736, 1765, 76, 4147, 430, 279, 19463, 315, 872, 2068, 53414, 9670, 709, 1633, 3428, 13, 84304, 20585, 4409, 753, 25320, 54064, 69611, 574, 2288, 19411, 311, 3041, 709, 11, 304, 279, 842, 13, 1952, 279, 1023, 1450, 11, 433, 574, 1101, 279, 2944, 430, 279, 14397, 75579, 3287, 1431, 1390, 1023, 2307, 78404, 311, 49553, 872, 6206, 505, 279, 6424, 627, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 198, 2118, 18483, 35622, 36297, 374, 58737, 1457, 13, 4800, 11, 28858, 433, 617, 311, 46753, 279, 12538, 4435, 753, 30215, 11, 719, 433, 690, 39022, 617, 311, 3663, 279, 3892, 2307, 78404, 529, 64391, 13, 578, 8882, 430, 6051, 6244, 264, 4562, 315, 2360, 35622, 2011, 17693, 79157, 872, 5860, 84127, 49216, 19480, 301, 198, 11180, 20994, 23591, 10683, 20585, 574, 3604, 264, 15187, 5675, 4546, 922, 520, 420, 6566, 13, 19292, 279, 12387, 2307, 78404, 1053, 617, 264, 3575, 11469, 304, 279, 4029, 11, 3117, 2753, 56647, 912, 35622, 13, 2684, 374, 5042, 912, 6140, 56647, 912, 35622, 1436, 14201, 22256, 2585, 927, 9305, 20585, 6344, 55422, 13, 1102, 7070, 387, 264, 11204, 304, 1162, 279, 33592, 1524, 18908, 264, 13651, 315, 279, 2322, 55422, 627, 40249, 3581, 7918, 79405, 753, 10052, 1524, 14792, 42782, 38759, 29508, 38170, 13, 1283, 7846, 1431, 3619, 3249, 1364, 574, 779, 59772, 13, 15148, 77, 1431, 1364, 8967, 311, 10707, 899, 520, 813, 10702, 662, 323, 2197, 369, 39324, 5380, 10378, 2733, 499, 2103, 1205, 264, 1099, 20132, 927, 80417, 311, 5348, 28296, 73297, 11, 1229, 123550, 18319, 279, 97119, 53613, 22916, 4529, 1203, 11, 43560, 2785, 304, 279, 81234, 11717, 1229, 123550, 50028, 813, 1648, 627, 80853, 31396, 753, 1023, 3697, 36065, 304, 11212, 9306, 627, 644, 13937, 315, 220, 605, 2307, 78404, 19426, 41165, 304, 9305, 12404, 1974, 10067, 13, 7570, 2085, 2737, 279, 8289, 4435, 753, 28650, 11, 1070, 1051, 9539, 42853, 33615, 28650, 311, 842, 56647, 4400, 35622, 753, 31402, 627, 11769, 832, 315, 279, 264, 8205, 315, 2307, 78404, 529, 24005, 12974, 311, 22203, 12896, 389, 18811, 35622, 430, 9888, 13, 2435, 19117, 1431, 43522, 459, 7524, 2944, 311, 11965, 84304, 12404, 1974, 10067, 719, 11, 719, 56647, 4400, 35622, 12457, 1120, 3984, 1124, 279, 1401, 2944, 3249, 814, 1047, 1027, 4560, 311, 1505, 627, 26072, 220, 15574, 15, 1389, 31494, 5111, 11, 13944, 56647, 912, 35622, 198, 791, 3892, 2466, 13736, 529, 40531, 6137, 52067, 24059, 5694, 994, 814, 7111, 520, 279, 43787, 10430, 2804, 704, 13, 2435, 649, 20781, 2980, 56647, 4400, 35622, 753, 12659, 13, 2290, 315, 1124, 43890, 2631, 279, 33592, 311, 6068, 682, 4509, 4377, 4972, 311, 994, 279, 12387, 2307, 78404, 529, 13307, 627, 6153, 264, 4062, 13402, 315, 21847, 11, 426, 1605, 291, 8691, 529, 59380, 6244, 311, 264, 59380, 13, 1283, 1243, 4024, 3345, 311, 11220, 3581, 7918, 2895, 258, 2085, 904, 10712, 627, 2118, 18483, 35622, 11472, 433, 13, 1226, 1436, 387, 304, 10441, 12404, 1974, 14298, 11, 719, 656, 499, 2980, 279, 5370, 2307, 78404, 1053, 2187, 1521, 4595, 315, 46072, 57309, 86141, 12671, 198, 2118, 36412, 11220, 3581, 7918, 11, 24559, 1148, 527, 499, 51279, 69984, 23126, 327, 258, 574, 1344, 370, 7881, 15386, 627, 4155, 315, 603, 690, 387, 100174, 1288, 279, 264, 8205, 315, 2307, 78404, 8108, 682, 4509, 4377, 449, 56647, 912, 35622, 22571, 11, 1095, 7636, 45663, 627, 56, 10602, 23126, 327, 258, 43890, 27023, 449, 274, 870, 8777, 60252, 43758, 1690, 3115, 1120, 1603, 11, 779, 568, 15324, 279, 89451, 1543, 574, 2561, 311, 98224, 11, 539, 78242, 13, 1442, 568, 29676, 430, 274, 870, 8777, 60252, 43758, 7263, 3201, 264, 12190, 961, 315, 279, 3363, 753, 6835, 499, 11, 872, 10430, 1053, 6381, 389, 264, 3958, 387, 8010, 13, 8976, 4954, 420, 11, 568, 19117, 1431, 42132, 636, 304, 5916, 449, 274, 870, 8777, 60252, 43758, 1120, 1603, 813, 49148, 449, 279, 264, 8205, 315, 2307, 78404, 13, 1283, 1053, 1193, 4879, 311, 28008, 274, 870, 8777, 60252, 43758, 1306, 279, 24345, 2751, 63260, 264, 8902, 7922, 17102, 13, 3161, 3585, 2533, 814, 9670, 709, 1457, 11, 56647, 4400, 35622, 690, 617, 311, 3041, 709, 264, 1396, 315, 10441, 12404, 1974, 4409, 753, 21667, 3508, 477, 539, 420, 37287, 311, 704, 25859, 13, 20636, 4459, 37377, 574, 653, 1617, 467, 481, 627, 1820, 38736, 38400, 628, 3864, 1373, 2930, 198, 2520, 264, 2132, 11, 69984, 23126, 327, 258, 574, 8982, 1752, 627, 7816, 1109, 220, 605, 2307, 78404, 1047, 20802, 304, 10441, 20585, 12299, 13, 7570, 2085, 1778, 439, 12538, 261, 4435, 753, 35843, 11, 1070, 527, 42853, 11660, 23579, 311, 6381, 56647, 912, 35622, 753, 31402, 627, 2118, 18788, 18866, 11, 656, 499, 1781, 2360, 35622, 374, 16632, 10917, 389, 264, 34300, 13123, 12671, 468, 19011, 1229, 123550, 11, 889, 28670, 33405, 31396, 753, 31152, 323, 4529, 264, 12324, 51564, 430, 12164, 660, 19018, 18200, 11, 304, 3004, 11, 21423, 4776, 304, 279, 97119, 1481, 654, 291, 22916, 13, 1054, 18483, 35622, 374, 45215, 1113, 872, 1866, 15748, 555, 2605, 10979, 603, 18319, 198, 12834, 279, 5348, 4435, 753, 13875, 403, 367, 30343, 574, 7524, 11, 433, 374, 2133, 311, 1120, 387, 264, 1486, 315, 892, 1120, 1603, 12538, 261, 31079, 388, 75691, 1139, 20534, 9439, 12531, 1712, 12404, 1974, 13, 578, 4553, 22891, 220, 1041, 14470, 21277, 5754, 2472, 374, 520, 3284, 8137, 11, 439, 574, 18955, 9998, 12404, 1974, 4409, 627, 26072, 220, 15574, 15, 1389, 31494, 67694, 11, 452, 6256, 18811, 35622, 198, 12834, 279, 12538, 819, 4435, 753, 13875, 403, 367, 25166, 574, 27331, 11, 433, 374, 2133, 311, 13524, 264, 1486, 315, 892, 1664, 1603, 8289, 26517, 12170, 75691, 1139, 20534, 9439, 12531, 3280, 12404, 1974, 13, 578, 4459, 26868, 220, 1041, 4725, 8641, 374, 520, 31397, 11, 439, 574, 9305, 20585, 14298, 627, 412, 315, 3634, 5818, 198, 10378, 9855, 499, 2103, 617, 264, 1099, 20132, 810, 1109, 20252, 1022, 311, 12538, 58822, 73297, 11, 1229, 123550, 18319, 279, 97119, 53613, 22916, 6140, 1578, 11, 43560, 2785, 449, 279, 81234, 11717, 1229, 123550, 20034, 813, 1648, 627, 17818, 5992, 701, 57351, 1051, 3604, 5076, 420, 892, 2212, 11, 12799, 355, 683, 13, 3011, 3995, 17240, 374, 439, 35118, 439, 1077, 33592, 14681, 13, 3005, 753, 1193, 75676, 870, 8777, 60252, 983, 2360, 35622, 5217, 4028, 279, 1648, 315, 912, 471, 51279, 279, 11292, 7564, 505, 67177, 35414, 9932, 11, 9989, 23747, 11220, 3581, 7918, 79405, 753, 86166, 627, 4071, 69984, 23126, 327, 258, 10534, 2646, 27458, 439, 430, 274, 870, 8777, 60252, 43758, 690, 387, 69510, 3403, 311, 3708, 11220, 3581, 7918, 98978, 311, 57309, 279, 5370, 2307, 78404, 779, 2216, 13, 1283, 12457, 8659, 7108, 35118, 389, 420, 13402, 4999, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 198, 13461, 3582, 1475, 1732, 3685, 11220, 3581, 7918, 2895, 258, 311, 11196, 11, 3515, 1071, 430, 11, 1364, 31645, 76389, 520, 28704, 14715, 26572, 82, 323, 16846, 11, 1054, 2746, 430, 753, 279, 15398, 11, 2360, 35622, 527, 2133, 311, 617, 912, 5873, 719, 311, 22472, 499, 505, 24882, 12531, 1712, 20585, 18319, 198, 2118, 36412, 11220, 3581, 7918, 11, 1268, 311, 1505, 499, 51279, 69984, 23126, 327, 258, 574, 1344, 370, 7881, 15386, 13, 128001 ]
[ -100, 1050, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 3566, 39142, 301, 1389, 15957, 220, 15574, 15, 1389, 1952, 279, 6383, 713, 315, 5111, 11, 51363, 18811, 35622, 10269, 17661, 4284, 2320, 16, 198, 28259, 220, 21, 11, 220, 2366, 17, 198, 64818, 58711, 198, 697, 38296, 58463, 198, 644, 59041, 58162, 1050, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 8091, 1389, 15957, 220, 15574, 15, 1389, 1952, 279, 6383, 713, 315, 5111, 11, 51363, 18811, 35622, 39025, 22553, 12929, 2320, 16, 198, 19480, 301, 4235, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 4235, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 198, 26072, 220, 15574, 15, 1389, 1952, 279, 6383, 713, 315, 5111, 11, 51363, 18811, 35622, 26682, 49715, 198, 7816, 1109, 220, 605, 2307, 78404, 1047, 41165, 304, 14637, 12404, 1974, 6344, 55422, 13, 7570, 2085, 369, 3187, 279, 12538, 819, 4435, 753, 23579, 11, 1070, 1051, 42853, 19738, 23579, 311, 6381, 2360, 35622, 753, 31402, 627, 4071, 69984, 23126, 327, 258, 12457, 2646, 6646, 430, 274, 870, 8777, 60252, 43758, 649, 387, 69510, 3403, 311, 3708, 704, 11220, 3581, 7918, 2895, 258, 311, 57309, 279, 5370, 2307, 78404, 779, 2216, 13, 1283, 43890, 8659, 34373, 35118, 420, 892, 2212, 4999, 2118, 66173, 0, 34863, 16358, 0, 7570, 1457, 11, 56647, 912, 35622, 2103, 74157, 779, 6520, 3948, 1570, 0, 9393, 279, 6693, 358, 11096, 480, 14778, 962, 753, 13207, 11, 358, 617, 2646, 1766, 420, 955, 315, 66153, 33592, 18319, 198, 10378, 1781, 499, 2103, 617, 264, 1099, 20132, 927, 26156, 311, 12538, 28296, 6785, 11, 1229, 123550, 18319, 279, 97119, 53613, 22916, 6140, 1578, 11, 43560, 2785, 304, 279, 81234, 13479, 32370, 1229, 123550, 50028, 813, 1648, 627, 91084, 11, 4311, 2391, 279, 19865, 43890, 66982, 3345, 5357, 389, 279, 653, 95444, 481, 4717, 69984, 23126, 327, 258, 1047, 18719, 11, 323, 11220, 3581, 7918, 79405, 19117, 1431, 6818, 311, 2744, 2567, 1077, 16630, 315, 7899, 45578, 13, 14636, 11, 1306, 1077, 18489, 11, 21847, 2751, 21536, 304, 279, 60891, 23991, 439, 5127, 45135, 520, 1077, 304, 37473, 16409, 627, 10156, 439, 1603, 11, 279, 23991, 12504, 4648, 398, 21737, 90578, 51290, 33305, 10016, 323, 279, 14319, 3468, 267, 3833, 23707, 198, 12834, 279, 5348, 4435, 753, 13875, 403, 367, 25166, 574, 45955, 11, 433, 1253, 1664, 5042, 387, 264, 3488, 315, 892, 8469, 315, 12538, 819, 9029, 10409, 1139, 3658, 20994, 23591, 10683, 20585, 13, 578, 4553, 38182, 220, 1041, 6913, 5754, 2472, 374, 304, 31397, 11, 439, 574, 32245, 11046, 12404, 1974, 6344, 55422, 627, 73741, 3062, 13736, 529, 40531, 3940, 704, 42247, 24059, 5694, 994, 814, 3970, 279, 32647, 21976, 617, 2523, 449, 704, 13, 2435, 1436, 20781, 2733, 56647, 912, 35622, 753, 7865, 13, 2290, 315, 1124, 43890, 2631, 279, 33592, 311, 8108, 682, 4509, 4377, 1603, 279, 5370, 2307, 78404, 529, 24005, 627, 65002, 1243, 44725, 369, 9096, 11, 56647, 4400, 35622, 706, 76310, 4423, 311, 51152, 279, 12457, 2307, 78404, 505, 279, 3663, 13, 578, 33592, 1205, 311, 387, 23351, 4999, 285, 279, 502, 29315, 5922, 433, 198, 2746, 568, 19117, 1431, 1027, 2771, 430, 11220, 3581, 7918, 2895, 258, 574, 539, 1063, 21930, 439, 1664, 439, 459, 22785, 1925, 12637, 4562, 304, 2360, 35622, 11, 889, 12457, 6575, 1664, 1077, 1648, 4871, 279, 13656, 11, 568, 1053, 4070, 24740, 14614, 13, 6385, 5224, 574, 32367, 264, 33304, 7119, 279, 3892, 2307, 78404, 323, 1053, 38048, 3063, 311, 56647, 912, 35622, 753, 6514, 505, 20534, 9439, 12531, 20585, 627, 2170, 264, 1121, 315, 18811, 35622, 11, 33405, 31396, 753, 1695, 17444, 389, 16537, 18207, 55365, 19426, 28214, 11, 719, 420, 3187, 574, 1633, 2204, 627, 1548, 10534, 2736, 1765, 76, 4147, 430, 279, 19463, 315, 872, 2068, 53414, 9670, 709, 1633, 3428, 13, 84304, 20585, 4409, 753, 25320, 54064, 69611, 574, 2288, 19411, 311, 3041, 709, 11, 304, 279, 842, 13, 1952, 279, 1023, 1450, 11, 433, 574, 1101, 279, 2944, 430, 279, 14397, 75579, 3287, 1431, 1390, 1023, 2307, 78404, 311, 49553, 872, 6206, 505, 279, 6424, 627, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 198, 2118, 18483, 35622, 36297, 374, 58737, 1457, 13, 4800, 11, 28858, 433, 617, 311, 46753, 279, 12538, 4435, 753, 30215, 11, 719, 433, 690, 39022, 617, 311, 3663, 279, 3892, 2307, 78404, 529, 64391, 13, 578, 8882, 430, 6051, 6244, 264, 4562, 315, 2360, 35622, 2011, 17693, 79157, 872, 5860, 84127, 49216, 19480, 301, 198, 11180, 20994, 23591, 10683, 20585, 574, 3604, 264, 15187, 5675, 4546, 922, 520, 420, 6566, 13, 19292, 279, 12387, 2307, 78404, 1053, 617, 264, 3575, 11469, 304, 279, 4029, 11, 3117, 2753, 56647, 912, 35622, 13, 2684, 374, 5042, 912, 6140, 56647, 912, 35622, 1436, 14201, 22256, 2585, 927, 9305, 20585, 6344, 55422, 13, 1102, 7070, 387, 264, 11204, 304, 1162, 279, 33592, 1524, 18908, 264, 13651, 315, 279, 2322, 55422, 627, 40249, 3581, 7918, 79405, 753, 10052, 1524, 14792, 42782, 38759, 29508, 38170, 13, 1283, 7846, 1431, 3619, 3249, 1364, 574, 779, 59772, 13, 15148, 77, 1431, 1364, 8967, 311, 10707, 899, 520, 813, 10702, 662, 323, 2197, 369, 39324, 5380, 10378, 2733, 499, 2103, 1205, 264, 1099, 20132, 927, 80417, 311, 5348, 28296, 73297, 11, 1229, 123550, 18319, 279, 97119, 53613, 22916, 4529, 1203, 11, 43560, 2785, 304, 279, 81234, 11717, 1229, 123550, 50028, 813, 1648, 627, 80853, 31396, 753, 1023, 3697, 36065, 304, 11212, 9306, 627, 644, 13937, 315, 220, 605, 2307, 78404, 19426, 41165, 304, 9305, 12404, 1974, 10067, 13, 7570, 2085, 2737, 279, 8289, 4435, 753, 28650, 11, 1070, 1051, 9539, 42853, 33615, 28650, 311, 842, 56647, 4400, 35622, 753, 31402, 627, 11769, 832, 315, 279, 264, 8205, 315, 2307, 78404, 529, 24005, 12974, 311, 22203, 12896, 389, 18811, 35622, 430, 9888, 13, 2435, 19117, 1431, 43522, 459, 7524, 2944, 311, 11965, 84304, 12404, 1974, 10067, 719, 11, 719, 56647, 4400, 35622, 12457, 1120, 3984, 1124, 279, 1401, 2944, 3249, 814, 1047, 1027, 4560, 311, 1505, 627, 26072, 220, 15574, 15, 1389, 31494, 5111, 11, 13944, 56647, 912, 35622, 198, 791, 3892, 2466, 13736, 529, 40531, 6137, 52067, 24059, 5694, 994, 814, 7111, 520, 279, 43787, 10430, 2804, 704, 13, 2435, 649, 20781, 2980, 56647, 4400, 35622, 753, 12659, 13, 2290, 315, 1124, 43890, 2631, 279, 33592, 311, 6068, 682, 4509, 4377, 4972, 311, 994, 279, 12387, 2307, 78404, 529, 13307, 627, 6153, 264, 4062, 13402, 315, 21847, 11, 426, 1605, 291, 8691, 529, 59380, 6244, 311, 264, 59380, 13, 1283, 1243, 4024, 3345, 311, 11220, 3581, 7918, 2895, 258, 2085, 904, 10712, 627, 2118, 18483, 35622, 11472, 433, 13, 1226, 1436, 387, 304, 10441, 12404, 1974, 14298, 11, 719, 656, 499, 2980, 279, 5370, 2307, 78404, 1053, 2187, 1521, 4595, 315, 46072, 57309, 86141, 12671, 198, 2118, 36412, 11220, 3581, 7918, 11, 24559, 1148, 527, 499, 51279, 69984, 23126, 327, 258, 574, 1344, 370, 7881, 15386, 627, 4155, 315, 603, 690, 387, 100174, 1288, 279, 264, 8205, 315, 2307, 78404, 8108, 682, 4509, 4377, 449, 56647, 912, 35622, 22571, 11, 1095, 7636, 45663, 627, 56, 10602, 23126, 327, 258, 43890, 27023, 449, 274, 870, 8777, 60252, 43758, 1690, 3115, 1120, 1603, 11, 779, 568, 15324, 279, 89451, 1543, 574, 2561, 311, 98224, 11, 539, 78242, 13, 1442, 568, 29676, 430, 274, 870, 8777, 60252, 43758, 7263, 3201, 264, 12190, 961, 315, 279, 3363, 753, 6835, 499, 11, 872, 10430, 1053, 6381, 389, 264, 3958, 387, 8010, 13, 8976, 4954, 420, 11, 568, 19117, 1431, 42132, 636, 304, 5916, 449, 274, 870, 8777, 60252, 43758, 1120, 1603, 813, 49148, 449, 279, 264, 8205, 315, 2307, 78404, 13, 1283, 1053, 1193, 4879, 311, 28008, 274, 870, 8777, 60252, 43758, 1306, 279, 24345, 2751, 63260, 264, 8902, 7922, 17102, 13, 3161, 3585, 2533, 814, 9670, 709, 1457, 11, 56647, 4400, 35622, 690, 617, 311, 3041, 709, 264, 1396, 315, 10441, 12404, 1974, 4409, 753, 21667, 3508, 477, 539, 420, 37287, 311, 704, 25859, 13, 20636, 4459, 37377, 574, 653, 1617, 467, 481, 627, 1820, 38736, 38400, 628, 3864, 1373, 2930, 198, 2520, 264, 2132, 11, 69984, 23126, 327, 258, 574, 8982, 1752, 627, 7816, 1109, 220, 605, 2307, 78404, 1047, 20802, 304, 10441, 20585, 12299, 13, 7570, 2085, 1778, 439, 12538, 261, 4435, 753, 35843, 11, 1070, 527, 42853, 11660, 23579, 311, 6381, 56647, 912, 35622, 753, 31402, 627, 2118, 18788, 18866, 11, 656, 499, 1781, 2360, 35622, 374, 16632, 10917, 389, 264, 34300, 13123, 12671, 468, 19011, 1229, 123550, 11, 889, 28670, 33405, 31396, 753, 31152, 323, 4529, 264, 12324, 51564, 430, 12164, 660, 19018, 18200, 11, 304, 3004, 11, 21423, 4776, 304, 279, 97119, 1481, 654, 291, 22916, 13, 1054, 18483, 35622, 374, 45215, 1113, 872, 1866, 15748, 555, 2605, 10979, 603, 18319, 198, 12834, 279, 5348, 4435, 753, 13875, 403, 367, 30343, 574, 7524, 11, 433, 374, 2133, 311, 1120, 387, 264, 1486, 315, 892, 1120, 1603, 12538, 261, 31079, 388, 75691, 1139, 20534, 9439, 12531, 1712, 12404, 1974, 13, 578, 4553, 22891, 220, 1041, 14470, 21277, 5754, 2472, 374, 520, 3284, 8137, 11, 439, 574, 18955, 9998, 12404, 1974, 4409, 627, 26072, 220, 15574, 15, 1389, 31494, 67694, 11, 452, 6256, 18811, 35622, 198, 12834, 279, 12538, 819, 4435, 753, 13875, 403, 367, 25166, 574, 27331, 11, 433, 374, 2133, 311, 13524, 264, 1486, 315, 892, 1664, 1603, 8289, 26517, 12170, 75691, 1139, 20534, 9439, 12531, 3280, 12404, 1974, 13, 578, 4459, 26868, 220, 1041, 4725, 8641, 374, 520, 31397, 11, 439, 574, 9305, 20585, 14298, 627, 412, 315, 3634, 5818, 198, 10378, 9855, 499, 2103, 617, 264, 1099, 20132, 810, 1109, 20252, 1022, 311, 12538, 58822, 73297, 11, 1229, 123550, 18319, 279, 97119, 53613, 22916, 6140, 1578, 11, 43560, 2785, 449, 279, 81234, 11717, 1229, 123550, 20034, 813, 1648, 627, 17818, 5992, 701, 57351, 1051, 3604, 5076, 420, 892, 2212, 11, 12799, 355, 683, 13, 3011, 3995, 17240, 374, 439, 35118, 439, 1077, 33592, 14681, 13, 3005, 753, 1193, 75676, 870, 8777, 60252, 983, 2360, 35622, 5217, 4028, 279, 1648, 315, 912, 471, 51279, 279, 11292, 7564, 505, 67177, 35414, 9932, 11, 9989, 23747, 11220, 3581, 7918, 79405, 753, 86166, 627, 4071, 69984, 23126, 327, 258, 10534, 2646, 27458, 439, 430, 274, 870, 8777, 60252, 43758, 690, 387, 69510, 3403, 311, 3708, 11220, 3581, 7918, 98978, 311, 57309, 279, 5370, 2307, 78404, 779, 2216, 13, 1283, 12457, 8659, 7108, 35118, 389, 420, 13402, 4999, 697, 2910, 55149, 5046, 578, 27191, 478, 36751, 4359, 198, 13461, 3582, 1475, 1732, 3685, 11220, 3581, 7918, 2895, 258, 311, 11196, 11, 3515, 1071, 430, 11, 1364, 31645, 76389, 520, 28704, 14715, 26572, 82, 323, 16846, 11, 1054, 2746, 430, 753, 279, 15398, 11, 2360, 35622, 527, 2133, 311, 617, 912, 5873, 719, 311, 22472, 499, 505, 24882, 12531, 1712, 20585, 18319, 198, 2118, 36412, 11220, 3581, 7918, 11, 1268, 311, 1505, 499, 51279, 69984, 23126, 327, 258, 574, 1344, 370, 7881, 15386, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 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 ]
[ 128000, 791, 2144, 568, 574, 3995, 323, 304, 1695, 6211, 574, 264, 12306, 311, 279, 33415, 49073, 26, 433, 574, 813, 3300, 430, 574, 279, 4128, 13, 1666, 1317, 439, 814, 1047, 2680, 311, 264, 9498, 6201, 2759, 11, 1884, 3278, 1053, 1080, 78, 10437, 912, 58174, 1139, 279, 2487, 315, 264, 26588, 1752, 2362, 893, 315, 78976, 70815, 13, 2100, 1418, 39843, 7020, 568, 574, 19411, 3403, 323, 1047, 2646, 1047, 12544, 9455, 264, 5333, 449, 8884, 311, 8798, 709, 279, 25112, 11, 433, 5828, 1431, 439, 422, 568, 3463, 315, 5678, 439, 4359, 753, 8352, 311, 3278, 13, 4452, 11, 14188, 574, 568, 459, 7500, 265, 627, 59115, 29473, 98778, 67, 11, 6832, 17274, 1052, 568, 7070, 7111, 709, 1306, 6574, 1077, 11, 9508, 311, 16917, 29395, 449, 279, 15629, 13, 88083, 323, 5128, 11, 1364, 7070, 1027, 11961, 779, 6896, 81, 1908, 1555, 14177, 430, 5606, 1053, 1781, 568, 7070, 18855, 1077, 4856, 1109, 279, 1023, 1648, 2212, 13, 6385, 8850, 436, 37588, 813, 6940, 11, 902, 1193, 1903, 1077, 19779, 1206, 20345, 64062, 389, 1077, 4018, 75, 727, 11, 3156, 279, 7060, 5238, 315, 1077, 25896, 1051, 33740, 2403, 47985, 6930, 16174, 291, 449, 6761, 50004, 4726, 92541, 813, 6940, 627, 21364, 6548, 29447, 291, 709, 11, 20750, 301, 323, 2867, 4920, 1077, 29247, 11, 1077, 23726, 961, 287, 13, 1054, 2822, 11, 433, 753, 17339, 2476, 1364, 1071, 304, 264, 85146, 315, 264, 7899, 1524, 439, 279, 68269, 23803, 3201, 1077, 15496, 627, 10378, 4344, 12798, 369, 279, 27860, 15496, 11, 16450, 13, 98778, 67, 13, 1472, 2643, 439, 1664, 4774, 433, 2029, 1283, 3287, 1431, 2512, 922, 279, 2853, 26, 1148, 568, 42777, 922, 574, 430, 279, 5333, 4028, 505, 1461, 1047, 35661, 7041, 1403, 13987, 49433, 304, 37755, 4520, 13, 1102, 5828, 1431, 439, 422, 1364, 1047, 26000, 311, 24804, 2345, 4636, 1364, 5828, 1431, 6930, 323, 25896, 13, 2360, 11, 1364, 574, 1120, 2678, 11, 1077, 4785, 304, 4832, 21801, 311, 1077, 17685, 6070, 13, 2100, 1364, 30912, 13, 4702, 539, 449, 1461, 627, 29132, 9495, 709, 520, 813, 4224, 49358, 11, 6930, 281, 6260, 11, 1364, 3287, 1431, 2019, 2500, 3492, 3156, 814, 7070, 2163, 279, 10960, 627, 2118, 9241, 753, 701, 1841, 43335, 12671, 568, 4691, 11, 539, 19762, 1077, 389, 279, 14708, 7636, 2728, 279, 1579, 1396, 315, 10034, 7359, 889, 7070, 44033, 1139, 279, 3363, 1418, 814, 1051, 304, 279, 10960, 13, 7648, 1051, 7060, 11, 304, 264, 71414, 20247, 11, 719, 433, 574, 8196, 264, 2478, 1047, 3940, 16558, 4216, 627, 75739, 22811, 753, 1176, 31655, 574, 311, 3085, 311, 6678, 1077, 311, 279, 52265, 13, 1102, 574, 1148, 568, 7070, 617, 2884, 449, 904, 1023, 5333, 304, 420, 6671, 13, 4452, 16450, 13, 98778, 67, 753, 25896, 2643, 1664, 70457, 5694, 704, 315, 1077, 6930, 422, 568, 12090, 1364, 636, 1139, 264, 45408, 3634, 449, 1461, 369, 5129, 1109, 264, 2478, 6622, 627, 1102, 3782, 704, 1555, 42018, 6702, 18311, 13, 578, 4623, 315, 904, 893, 48389, 264, 5333, 1903, 39843, 1518, 2579, 13, 578, 2144, 29473, 9508, 311, 1781, 568, 7070, 13194, 1077, 88937, 2403, 813, 1475, 32015, 627, 37, 3817, 28075, 11, 1364, 3287, 1431, 18046, 1578, 994, 568, 13541, 1825, 279, 1203, 6134, 315, 279, 22239, 323, 3309, 279, 5696, 1364, 4460, 311, 733, 9017, 800, 13, 55757, 288, 627, 39, 4838, 20750, 301, 6548, 16447, 449, 813, 369, 264, 2132, 13, 20055, 6548, 11, 568, 3463, 11, 2867, 323, 6076, 660, 449, 6761, 323, 6307, 4920, 279, 18300, 36057, 315, 1077, 9618, 18709, 13, 6385, 6548, 4024, 449, 279, 8579, 45469, 90049, 1364, 7070, 17791, 1139, 264, 53736, 14928, 11, 264, 2478, 19112, 1725, 3515, 28883, 311, 21735, 1077, 26784, 16117, 2867, 6930, 627, 32, 38920, 719, 61299, 296, 1105, 301, 13, 25619, 3958, 1364, 574, 53731, 520, 279, 14254, 315, 1461, 627, 96995, 3287, 1431, 2019, 9901, 499, 311, 39843, 34342, 369, 279, 22239, 11, 4619, 11961, 20268, 304, 1077, 10954, 3156, 568, 9495, 279, 6134, 323, 279, 5696, 13541, 704, 13, 38254, 539, 279, 1888, 3245, 311, 656, 422, 832, 574, 4560, 539, 311, 636, 14219, 11, 719, 1077, 50581, 1051, 6689, 13, 3861, 810, 9568, 304, 813, 2883, 323, 1364, 2643, 1120, 617, 21165, 1139, 24014, 627, 1858, 5411, 11, 29473, 13, 720, 21364, 18311, 86034, 2454, 520, 279, 28360, 1722, 315, 12131, 753, 7899, 26, 1077, 6206, 282, 13539, 779, 10508, 1077, 25896, 13194, 13, 3005, 38674, 430, 8994, 682, 279, 990, 1364, 7070, 2884, 11, 682, 279, 2450, 1364, 7070, 17427, 304, 74017, 430, 28201, 1060, 315, 1077, 2324, 11, 8850, 1436, 2103, 28182, 1139, 1077, 4851, 1093, 420, 11, 94130, 20227, 2085, 10163, 13, 473, 660, 1524, 810, 430, 12131, 753, 7899, 1436, 43364, 349, 1077, 11555, 1524, 1457, 11, 279, 28360, 2574, 568, 7070, 1071, 77315, 74808, 1139, 1077, 60764, 627, 36339, 1053, 387, 264, 38911, 13, 2052, 1364, 1436, 3987, 574, 430, 39843, 34342, 1053, 10894, 922, 279, 28093, 93450, 8814, 568, 7070, 4529, 311, 14177, 323, 4822, 10968, 1193, 389, 279, 5190, 27859, 627, 8100, 7070, 13019, 279, 20900, 3802, 13, 78990, 1523, 279, 4641, 1306, 13598, 449, 279, 9815, 9476, 11, 39843, 31156, 1148, 16450, 13, 98778, 67, 1053, 656, 422, 568, 6773, 311, 2343, 1077, 264, 4034, 323, 2610, 1077, 1268, 1077, 7418, 1047, 8208, 13, 38254, 7940, 704, 315, 1077, 6930, 11, 1077, 25896, 1206, 31436, 2403, 832, 2500, 627, 3407, 363, 2785, 11, 568, 8738, 311, 733, 927, 279, 9477, 304, 4156, 315, 1461, 13, 328, 52936, 612, 59979, 574, 459, 2362, 2883, 449, 264, 1695, 11, 3831, 6332, 13, 19173, 11, 430, 6332, 574, 28016, 1234, 5361, 13931, 315, 29561, 11, 27104, 315, 6129, 64496, 438, 2785, 555, 279, 3347, 12432, 29096, 893, 889, 7070, 2728, 279, 11341, 315, 58266, 11, 719, 889, 11, 505, 1148, 39843, 1436, 3371, 11, 1047, 7543, 279, 8857, 315, 813, 892, 5737, 19665, 449, 813, 47682, 552, 13, 1283, 7070, 682, 719, 16625, 279, 2883, 7833, 1139, 36707, 627, 2170, 264, 1121, 11, 279, 19913, 9476, 10756, 430, 1047, 1317, 1027, 279, 66941, 304, 328, 52936, 612, 59979, 753, 27631, 1051, 26564, 60485, 26, 11040, 323, 13166, 9548, 63683, 574, 779, 3428, 430, 6510, 684, 574, 520, 459, 682, 7394, 1579, 13, 1666, 369, 279, 8312, 19169, 430, 3549, 46935, 328, 52936, 612, 59979, 11822, 2345, 13486, 6646, 264, 21134, 6883, 71201, 7070, 1027, 25587, 9152, 311, 279, 1486, 430, 2930, 3477, 6732, 1047, 22088, 311, 22380, 922, 14459, 1885, 328, 52936, 612, 59979, 11822, 1694, 2731, 1109, 279, 86690, 627, 9220, 3682, 8125, 1234, 6789, 872, 5597, 13, 578, 1176, 574, 813, 13263, 3839, 3335, 304, 99546, 264, 8138, 9873, 704, 315, 6020, 4106, 3090, 323, 10917, 1124, 389, 279, 1853, 311, 48317, 2450, 13, 578, 2132, 574, 813, 5845, 311, 4027, 1274, 889, 4460, 23677, 627, 791, 2700, 398, 323, 48653, 53474, 4771, 6418, 304, 37002, 15779, 574, 304, 39843, 753, 5274, 4330, 4520, 3010, 11, 813, 28004, 31161, 323, 813, 23726, 17770, 1139, 264, 15792, 4251, 1584, 2403, 279, 5655, 14198, 315, 813, 6930, 627, 10378, 4344, 539, 23677, 499, 2476, 39843, 1071, 11, 64211, 279, 9191, 893, 1139, 264, 10954, 13, 1054, 2675, 3207, 3604, 832, 315, 279, 2478, 40883, 1274, 389, 279, 10195, 5687, 2029, 13381, 3287, 1431, 5030, 311, 39843, 26, 433, 574, 1148, 279, 3927, 7263, 311, 279, 2007, 430, 31094, 627, 96995, 31894, 704, 304, 1077, 19250, 2045, 1306, 19261, 433, 2085, 4401, 1139, 39843, 34342, 13, 9506, 18797, 1523, 555, 5209, 57902, 1251, 430, 568, 574, 14718, 39438, 425, 304, 8582, 6373, 13, 4497, 19672, 1047, 1027, 23803, 704, 304, 279, 3347, 1403, 4207, 1109, 304, 682, 279, 892, 29473, 1047, 1027, 3318, 520, 328, 52936, 612, 59979, 627, 8100, 7111, 709, 520, 279, 282, 5757, 535, 5222, 311, 1505, 350, 1983, 49448, 449, 813, 11977, 389, 1948, 315, 1077, 19250, 2045, 7147, 627, 10902, 8138, 520, 1461, 11, 279, 326, 92916, 94935, 4771, 6418, 8232, 45357, 832, 315, 279, 2478, 3026, 449, 8884, 1364, 574, 12756, 10882, 11, 1364, 1071, 11, 1054, 33099, 1285, 499, 1541, 1431, 636, 10791, 3451, 75, 6795, 922, 529, 477, 4491, 13, 8909, 1764, 2643, 10491, 568, 3250, 1431, 2216, 1205, 264, 45357, 2029, 29473, 11937, 1047, 1027, 3318, 2536, 9684, 2533, 33111, 520, 1077, 18496, 26, 5884, 64, 1047, 1027, 10043, 1077, 2653, 439, 39843, 34342, 1903, 7631, 1306, 7631, 627, 96995, 753, 6548, 86988, 13, 1054, 36981, 2029, 423, 8788, 44472, 1047, 1027, 4401, 279, 8743, 9476, 369, 927, 5899, 1667, 1981, 3582, 1364, 1550, 617, 264, 31954, 311, 1935, 1317, 94730, 449, 1077, 4885, 323, 4121, 433, 311, 279, 2883, 13, 2876, 311, 6420, 1364, 15320, 22523, 279, 2362, 21343, 315, 39500, 5220, 11, 3339, 1120, 3403, 9099, 34074, 311, 636, 3201, 449, 433, 13, 578, 2144, 1455, 315, 1884, 21343, 1047, 912, 41961, 304, 279, 1561, 17340, 3157, 9508, 311, 3060, 12731, 1077, 477, 5353, 1077, 912, 4747, 627, 1548, 24532, 291, 430, 17444, 927, 279, 1828, 8223, 4207, 13, 9220, 45726, 315, 10195, 6373, 574, 8208, 555, 279, 842, 315, 279, 1938, 11, 279, 9861, 4948, 2288, 13326, 311, 11196, 922, 4205, 719, 990, 13, 21594, 3697, 315, 279, 27144, 5687, 4036, 16907, 37071, 11, 1418, 3885, 1051, 2486, 9437, 477, 19201, 311, 7417, 872, 5178, 422, 814, 4934, 264, 2683, 520, 279, 842, 315, 279, 2305, 627, 12805, 1578, 11, 350, 1983, 1047, 279, 58587, 13, 1054, 40, 6755, 832, 315, 423, 8788, 753, 83844, 1105, 2019, 279, 13697, 1071, 568, 8434, 1431, 19065, 1077, 369, 1077, 559, 347, 10470, 990, 311, 2457, 2533, 1364, 7070, 1047, 264, 3958, 38419, 2476, 279, 32639, 3309, 1077, 439, 814, 2163, 279, 5274, 3871, 627, 49977, 753, 3169, 2029, 220, 9086, 264, 3958, 12, 880, 43868, 350, 11151, 327, 11, 1364, 3463, 13, 128001, 128000, 1757, 409, 23456, 360, 438, 1190, 1037, 19, 73, 26699, 12368, 401, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 64890, 13, 43829, 6628, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 26744, 51457, 1378, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 26744, 3587, 1037, 39506, 1378, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 3272, 3587, 1037, 1747, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 21657, 3587, 1037, 7423, 401, 898, 538, 6104, 1997, 2289, 6146, 1504, 197, 6123, 198, 1241, 742, 9203, 7, 43829, 6628, 7061, 11, 58627, 1747, 1646, 11, 58627, 7423, 3896, 8, 3872, 58627, 39506, 1378, 341, 197, 6942, 341, 298, 20307, 2615, 11037, 545, 298, 5329, 320, 4308, 673, 9790, 3126, 1020, 48391, 7035, 9790, 3764, 11, 1646, 595, 341, 573, 49096, 7925, 39456, 11, 1646, 11, 3896, 317, 298, 197, 534, 298, 20307, 8452, 11037, 545, 197, 197, 92, 2339, 320, 9790, 1378, 384, 8, 341, 298, 9776, 502, 58627, 39506, 1378, 1420, 11, 3896, 673, 7423, 9360, 1535, 384, 317, 197, 197, 534, 197, 534, 534, 128001 ]
[ -100, 791, 2144, 568, 574, 3995, 323, 304, 1695, 6211, 574, 264, 12306, 311, 279, 33415, 49073, 26, 433, 574, 813, 3300, 430, 574, 279, 4128, 13, 1666, 1317, 439, 814, 1047, 2680, 311, 264, 9498, 6201, 2759, 11, 1884, 3278, 1053, 1080, 78, 10437, 912, 58174, 1139, 279, 2487, 315, 264, 26588, 1752, 2362, 893, 315, 78976, 70815, 13, 2100, 1418, 39843, 7020, 568, 574, 19411, 3403, 323, 1047, 2646, 1047, 12544, 9455, 264, 5333, 449, 8884, 311, 8798, 709, 279, 25112, 11, 433, 5828, 1431, 439, 422, 568, 3463, 315, 5678, 439, 4359, 753, 8352, 311, 3278, 13, 4452, 11, 14188, 574, 568, 459, 7500, 265, 627, 59115, 29473, 98778, 67, 11, 6832, 17274, 1052, 568, 7070, 7111, 709, 1306, 6574, 1077, 11, 9508, 311, 16917, 29395, 449, 279, 15629, 13, 88083, 323, 5128, 11, 1364, 7070, 1027, 11961, 779, 6896, 81, 1908, 1555, 14177, 430, 5606, 1053, 1781, 568, 7070, 18855, 1077, 4856, 1109, 279, 1023, 1648, 2212, 13, 6385, 8850, 436, 37588, 813, 6940, 11, 902, 1193, 1903, 1077, 19779, 1206, 20345, 64062, 389, 1077, 4018, 75, 727, 11, 3156, 279, 7060, 5238, 315, 1077, 25896, 1051, 33740, 2403, 47985, 6930, 16174, 291, 449, 6761, 50004, 4726, 92541, 813, 6940, 627, 21364, 6548, 29447, 291, 709, 11, 20750, 301, 323, 2867, 4920, 1077, 29247, 11, 1077, 23726, 961, 287, 13, 1054, 2822, 11, 433, 753, 17339, 2476, 1364, 1071, 304, 264, 85146, 315, 264, 7899, 1524, 439, 279, 68269, 23803, 3201, 1077, 15496, 627, 10378, 4344, 12798, 369, 279, 27860, 15496, 11, 16450, 13, 98778, 67, 13, 1472, 2643, 439, 1664, 4774, 433, 2029, 1283, 3287, 1431, 2512, 922, 279, 2853, 26, 1148, 568, 42777, 922, 574, 430, 279, 5333, 4028, 505, 1461, 1047, 35661, 7041, 1403, 13987, 49433, 304, 37755, 4520, 13, 1102, 5828, 1431, 439, 422, 1364, 1047, 26000, 311, 24804, 2345, 4636, 1364, 5828, 1431, 6930, 323, 25896, 13, 2360, 11, 1364, 574, 1120, 2678, 11, 1077, 4785, 304, 4832, 21801, 311, 1077, 17685, 6070, 13, 2100, 1364, 30912, 13, 4702, 539, 449, 1461, 627, 29132, 9495, 709, 520, 813, 4224, 49358, 11, 6930, 281, 6260, 11, 1364, 3287, 1431, 2019, 2500, 3492, 3156, 814, 7070, 2163, 279, 10960, 627, 2118, 9241, 753, 701, 1841, 43335, 12671, 568, 4691, 11, 539, 19762, 1077, 389, 279, 14708, 7636, 2728, 279, 1579, 1396, 315, 10034, 7359, 889, 7070, 44033, 1139, 279, 3363, 1418, 814, 1051, 304, 279, 10960, 13, 7648, 1051, 7060, 11, 304, 264, 71414, 20247, 11, 719, 433, 574, 8196, 264, 2478, 1047, 3940, 16558, 4216, 627, 75739, 22811, 753, 1176, 31655, 574, 311, 3085, 311, 6678, 1077, 311, 279, 52265, 13, 1102, 574, 1148, 568, 7070, 617, 2884, 449, 904, 1023, 5333, 304, 420, 6671, 13, 4452, 16450, 13, 98778, 67, 753, 25896, 2643, 1664, 70457, 5694, 704, 315, 1077, 6930, 422, 568, 12090, 1364, 636, 1139, 264, 45408, 3634, 449, 1461, 369, 5129, 1109, 264, 2478, 6622, 627, 1102, 3782, 704, 1555, 42018, 6702, 18311, 13, 578, 4623, 315, 904, 893, 48389, 264, 5333, 1903, 39843, 1518, 2579, 13, 578, 2144, 29473, 9508, 311, 1781, 568, 7070, 13194, 1077, 88937, 2403, 813, 1475, 32015, 627, 37, 3817, 28075, 11, 1364, 3287, 1431, 18046, 1578, 994, 568, 13541, 1825, 279, 1203, 6134, 315, 279, 22239, 323, 3309, 279, 5696, 1364, 4460, 311, 733, 9017, 800, 13, 55757, 288, 627, 39, 4838, 20750, 301, 6548, 16447, 449, 813, 369, 264, 2132, 13, 20055, 6548, 11, 568, 3463, 11, 2867, 323, 6076, 660, 449, 6761, 323, 6307, 4920, 279, 18300, 36057, 315, 1077, 9618, 18709, 13, 6385, 6548, 4024, 449, 279, 8579, 45469, 90049, 1364, 7070, 17791, 1139, 264, 53736, 14928, 11, 264, 2478, 19112, 1725, 3515, 28883, 311, 21735, 1077, 26784, 16117, 2867, 6930, 627, 32, 38920, 719, 61299, 296, 1105, 301, 13, 25619, 3958, 1364, 574, 53731, 520, 279, 14254, 315, 1461, 627, 96995, 3287, 1431, 2019, 9901, 499, 311, 39843, 34342, 369, 279, 22239, 11, 4619, 11961, 20268, 304, 1077, 10954, 3156, 568, 9495, 279, 6134, 323, 279, 5696, 13541, 704, 13, 38254, 539, 279, 1888, 3245, 311, 656, 422, 832, 574, 4560, 539, 311, 636, 14219, 11, 719, 1077, 50581, 1051, 6689, 13, 3861, 810, 9568, 304, 813, 2883, 323, 1364, 2643, 1120, 617, 21165, 1139, 24014, 627, 1858, 5411, 11, 29473, 13, 720, 21364, 18311, 86034, 2454, 520, 279, 28360, 1722, 315, 12131, 753, 7899, 26, 1077, 6206, 282, 13539, 779, 10508, 1077, 25896, 13194, 13, 3005, 38674, 430, 8994, 682, 279, 990, 1364, 7070, 2884, 11, 682, 279, 2450, 1364, 7070, 17427, 304, 74017, 430, 28201, 1060, 315, 1077, 2324, 11, 8850, 1436, 2103, 28182, 1139, 1077, 4851, 1093, 420, 11, 94130, 20227, 2085, 10163, 13, 473, 660, 1524, 810, 430, 12131, 753, 7899, 1436, 43364, 349, 1077, 11555, 1524, 1457, 11, 279, 28360, 2574, 568, 7070, 1071, 77315, 74808, 1139, 1077, 60764, 627, 36339, 1053, 387, 264, 38911, 13, 2052, 1364, 1436, 3987, 574, 430, 39843, 34342, 1053, 10894, 922, 279, 28093, 93450, 8814, 568, 7070, 4529, 311, 14177, 323, 4822, 10968, 1193, 389, 279, 5190, 27859, 627, 8100, 7070, 13019, 279, 20900, 3802, 13, 78990, 1523, 279, 4641, 1306, 13598, 449, 279, 9815, 9476, 11, 39843, 31156, 1148, 16450, 13, 98778, 67, 1053, 656, 422, 568, 6773, 311, 2343, 1077, 264, 4034, 323, 2610, 1077, 1268, 1077, 7418, 1047, 8208, 13, 38254, 7940, 704, 315, 1077, 6930, 11, 1077, 25896, 1206, 31436, 2403, 832, 2500, 627, 3407, 363, 2785, 11, 568, 8738, 311, 733, 927, 279, 9477, 304, 4156, 315, 1461, 13, 328, 52936, 612, 59979, 574, 459, 2362, 2883, 449, 264, 1695, 11, 3831, 6332, 13, 19173, 11, 430, 6332, 574, 28016, 1234, 5361, 13931, 315, 29561, 11, 27104, 315, 6129, 64496, 438, 2785, 555, 279, 3347, 12432, 29096, 893, 889, 7070, 2728, 279, 11341, 315, 58266, 11, 719, 889, 11, 505, 1148, 39843, 1436, 3371, 11, 1047, 7543, 279, 8857, 315, 813, 892, 5737, 19665, 449, 813, 47682, 552, 13, 1283, 7070, 682, 719, 16625, 279, 2883, 7833, 1139, 36707, 627, 2170, 264, 1121, 11, 279, 19913, 9476, 10756, 430, 1047, 1317, 1027, 279, 66941, 304, 328, 52936, 612, 59979, 753, 27631, 1051, 26564, 60485, 26, 11040, 323, 13166, 9548, 63683, 574, 779, 3428, 430, 6510, 684, 574, 520, 459, 682, 7394, 1579, 13, 1666, 369, 279, 8312, 19169, 430, 3549, 46935, 328, 52936, 612, 59979, 11822, 2345, 13486, 6646, 264, 21134, 6883, 71201, 7070, 1027, 25587, 9152, 311, 279, 1486, 430, 2930, 3477, 6732, 1047, 22088, 311, 22380, 922, 14459, 1885, 328, 52936, 612, 59979, 11822, 1694, 2731, 1109, 279, 86690, 627, 9220, 3682, 8125, 1234, 6789, 872, 5597, 13, 578, 1176, 574, 813, 13263, 3839, 3335, 304, 99546, 264, 8138, 9873, 704, 315, 6020, 4106, 3090, 323, 10917, 1124, 389, 279, 1853, 311, 48317, 2450, 13, 578, 2132, 574, 813, 5845, 311, 4027, 1274, 889, 4460, 23677, 627, 791, 2700, 398, 323, 48653, 53474, 4771, 6418, 304, 37002, 15779, 574, 304, 39843, 753, 5274, 4330, 4520, 3010, 11, 813, 28004, 31161, 323, 813, 23726, 17770, 1139, 264, 15792, 4251, 1584, 2403, 279, 5655, 14198, 315, 813, 6930, 627, 10378, 4344, 539, 23677, 499, 2476, 39843, 1071, 11, 64211, 279, 9191, 893, 1139, 264, 10954, 13, 1054, 2675, 3207, 3604, 832, 315, 279, 2478, 40883, 1274, 389, 279, 10195, 5687, 2029, 13381, 3287, 1431, 5030, 311, 39843, 26, 433, 574, 1148, 279, 3927, 7263, 311, 279, 2007, 430, 31094, 627, 96995, 31894, 704, 304, 1077, 19250, 2045, 1306, 19261, 433, 2085, 4401, 1139, 39843, 34342, 13, 9506, 18797, 1523, 555, 5209, 57902, 1251, 430, 568, 574, 14718, 39438, 425, 304, 8582, 6373, 13, 4497, 19672, 1047, 1027, 23803, 704, 304, 279, 3347, 1403, 4207, 1109, 304, 682, 279, 892, 29473, 1047, 1027, 3318, 520, 328, 52936, 612, 59979, 627, 8100, 7111, 709, 520, 279, 282, 5757, 535, 5222, 311, 1505, 350, 1983, 49448, 449, 813, 11977, 389, 1948, 315, 1077, 19250, 2045, 7147, 627, 10902, 8138, 520, 1461, 11, 279, 326, 92916, 94935, 4771, 6418, 8232, 45357, 832, 315, 279, 2478, 3026, 449, 8884, 1364, 574, 12756, 10882, 11, 1364, 1071, 11, 1054, 33099, 1285, 499, 1541, 1431, 636, 10791, 3451, 75, 6795, 922, 529, 477, 4491, 13, 8909, 1764, 2643, 10491, 568, 3250, 1431, 2216, 1205, 264, 45357, 2029, 29473, 11937, 1047, 1027, 3318, 2536, 9684, 2533, 33111, 520, 1077, 18496, 26, 5884, 64, 1047, 1027, 10043, 1077, 2653, 439, 39843, 34342, 1903, 7631, 1306, 7631, 627, 96995, 753, 6548, 86988, 13, 1054, 36981, 2029, 423, 8788, 44472, 1047, 1027, 4401, 279, 8743, 9476, 369, 927, 5899, 1667, 1981, 3582, 1364, 1550, 617, 264, 31954, 311, 1935, 1317, 94730, 449, 1077, 4885, 323, 4121, 433, 311, 279, 2883, 13, 2876, 311, 6420, 1364, 15320, 22523, 279, 2362, 21343, 315, 39500, 5220, 11, 3339, 1120, 3403, 9099, 34074, 311, 636, 3201, 449, 433, 13, 578, 2144, 1455, 315, 1884, 21343, 1047, 912, 41961, 304, 279, 1561, 17340, 3157, 9508, 311, 3060, 12731, 1077, 477, 5353, 1077, 912, 4747, 627, 1548, 24532, 291, 430, 17444, 927, 279, 1828, 8223, 4207, 13, 9220, 45726, 315, 10195, 6373, 574, 8208, 555, 279, 842, 315, 279, 1938, 11, 279, 9861, 4948, 2288, 13326, 311, 11196, 922, 4205, 719, 990, 13, 21594, 3697, 315, 279, 27144, 5687, 4036, 16907, 37071, 11, 1418, 3885, 1051, 2486, 9437, 477, 19201, 311, 7417, 872, 5178, 422, 814, 4934, 264, 2683, 520, 279, 842, 315, 279, 2305, 627, 12805, 1578, 11, 350, 1983, 1047, 279, 58587, 13, 1054, 40, 6755, 832, 315, 423, 8788, 753, 83844, 1105, 2019, 279, 13697, 1071, 568, 8434, 1431, 19065, 1077, 369, 1077, 559, 347, 10470, 990, 311, 2457, 2533, 1364, 7070, 1047, 264, 3958, 38419, 2476, 279, 32639, 3309, 1077, 439, 814, 2163, 279, 5274, 3871, 627, 49977, 753, 3169, 2029, 220, 9086, 264, 3958, 12, 880, 43868, 350, 11151, 327, 11, 1364, 3463, 13, 128001, -100, 1757, 409, 23456, 360, 438, 1190, 1037, 19, 73, 26699, 12368, 401, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 64890, 13, 43829, 6628, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 26744, 51457, 1378, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 26744, 3587, 1037, 39506, 1378, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 3272, 3587, 1037, 1747, 280, 475, 409, 23456, 360, 438, 1190, 1037, 19, 73, 21657, 3587, 1037, 7423, 401, 898, 538, 6104, 1997, 2289, 6146, 1504, 197, 6123, 198, 1241, 742, 9203, 7, 43829, 6628, 7061, 11, 58627, 1747, 1646, 11, 58627, 7423, 3896, 8, 3872, 58627, 39506, 1378, 341, 197, 6942, 341, 298, 20307, 2615, 11037, 545, 298, 5329, 320, 4308, 673, 9790, 3126, 1020, 48391, 7035, 9790, 3764, 11, 1646, 595, 341, 573, 49096, 7925, 39456, 11, 1646, 11, 3896, 317, 298, 197, 534, 298, 20307, 8452, 11037, 545, 197, 197, 92, 2339, 320, 9790, 1378, 384, 8, 341, 298, 9776, 502, 58627, 39506, 1378, 1420, 11, 3896, 673, 7423, 9360, 1535, 384, 317, 197, 197, 534, 197, 534, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186 ]
[ 128000, 35079, 304, 904, 6617, 1841, 323, 636, 743, 311, 4027, 433, 709, 323, 17393, 527, 279, 28065, 690, 3177, 709, 1093, 264, 9160, 4047, 5780, 8208, 59654, 17172, 13, 27956, 13001, 320, 19171, 14183, 311, 439, 3371, 83, 1604, 13001, 555, 1690, 17032, 11, 323, 43358, 13001, 555, 1455, 40508, 43448, 8, 690, 13519, 264, 8205, 315, 8811, 22124, 11, 2737, 40850, 323, 20472, 430, 527, 4994, 315, 279, 4725, 2134, 11, 41353, 1887, 28950, 11, 14365, 430, 7784, 956, 8036, 11, 3428, 10633, 5990, 11, 323, 1070, 596, 4762, 832, 430, 2840, 4336, 76389, 994, 279, 1510, 8323, 374, 3389, 627, 20093, 13001, 304, 2035, 315, 13819, 51259, 7784, 956, 2216, 502, 26, 39253, 1511, 1124, 311, 13519, 3428, 5707, 7410, 323, 3428, 14143, 2612, 304, 279, 220, 7285, 15, 82, 13, 578, 5811, 1243, 439, 1457, 374, 430, 12050, 1541, 956, 2343, 1790, 6666, 311, 279, 13819, 51259, 11, 779, 52394, 264, 10163, 3177, 374, 810, 4461, 311, 636, 14000, 13, 2030, 1418, 430, 1253, 3881, 311, 279, 5578, 9048, 380, 11, 1884, 889, 1427, 520, 872, 9515, 439, 810, 1109, 264, 3445, 315, 18386, 1093, 311, 2567, 23204, 389, 872, 7458, 596, 16595, 5865, 11, 323, 279, 1888, 1648, 311, 656, 430, 374, 449, 459, 13687, 14473, 627, 1959, 279, 3347, 1060, 477, 779, 32639, 13678, 10919, 706, 1027, 7231, 813, 1176, 1841, 11, 264, 220, 6280, 21, 14337, 11, 279, 8761, 21236, 6514, 13, 9636, 279, 3821, 1285, 8071, 315, 813, 12691, 2477, 11, 36504, 8761, 938, 634, 261, 323, 36945, 6690, 37110, 23194, 10919, 11, 279, 650, 19501, 2653, 3565, 706, 4036, 264, 1396, 315, 9013, 11, 323, 1457, 433, 574, 892, 311, 18885, 279, 78133, 627, 644, 5708, 1376, 279, 14337, 15109, 264, 4732, 21037, 11, 10633, 2237, 323, 9499, 13819, 51259, 11, 10163, 13001, 369, 3428, 5707, 7410, 323, 14143, 2612, 11, 323, 264, 9042, 13, 4203, 76051, 279, 892, 23164, 574, 1070, 779, 279, 5696, 1053, 1440, 1268, 1317, 279, 1841, 10837, 1306, 832, 477, 810, 43358, 13001, 3782, 389, 627, 1271, 2713, 279, 14337, 596, 24858, 7090, 13678, 6656, 311, 3842, 4584, 95590, 520, 22591, 58513, 13, 22591, 539, 1193, 6209, 264, 4686, 56395, 315, 13819, 51259, 304, 264, 7029, 8205, 315, 33483, 719, 814, 2955, 323, 1977, 2587, 24198, 323, 656, 17189, 30322, 13, 1666, 279, 4751, 330, 9342, 1, 24897, 11, 22591, 58513, 706, 3549, 832, 12744, 13819, 51259, 369, 264, 1317, 1160, 315, 279, 28807, 9515, 5918, 555, 279, 1455, 28289, 49186, 13, 578, 25678, 1920, 11, 439, 4584, 273, 347, 16964, 433, 11, 374, 539, 264, 35093, 315, 78133, 719, 4856, 279, 27442, 315, 13819, 51259, 304, 5708, 10687, 1701, 279, 4113, 11983, 13, 330, 2675, 649, 2567, 279, 1427, 315, 701, 13819, 51259, 7154, 4113, 304, 11341, 477, 32187, 1124, 311, 5052, 701, 2447, 1210, 13678, 14896, 13819, 51259, 430, 1051, 3345, 311, 4113, 304, 11341, 719, 3117, 2731, 304, 3878, 315, 13708, 627, 42172, 24766, 13819, 51259, 649, 387, 18255, 1139, 1403, 6913, 11306, 11, 22936, 323, 9249, 13, 2468, 832, 892, 22936, 13819, 51259, 1051, 46603, 1606, 330, 54719, 527, 1148, 7102, 9515, 617, 3343, 5046, 3388, 1455, 4216, 7102, 9515, 3287, 956, 617, 459, 20314, 1887, 779, 430, 74035, 279, 2671, 13, 763, 2144, 11, 279, 1888, 2944, 369, 1701, 22936, 13819, 51259, 574, 430, 814, 1047, 7191, 21070, 31409, 2134, 22416, 5219, 1436, 387, 9041, 704, 11, 3339, 1124, 8831, 311, 1373, 1109, 279, 14595, 2875, 1355, 49642, 20314, 13819, 51259, 13, 2030, 11, 9523, 311, 6617, 5557, 11, 430, 706, 5614, 13, 3161, 279, 4500, 315, 279, 3805, 6332, 19567, 323, 27877, 16622, 894, 11, 9249, 13819, 51259, 649, 617, 709, 311, 220, 3101, 12628, 315, 7597, 7351, 11, 439, 1790, 439, 690, 387, 1766, 389, 1455, 22936, 13819, 51259, 11, 449, 71257, 13708, 627, 644, 1455, 5157, 11, 994, 25678, 1303, 459, 9191, 14473, 7090, 279, 2134, 315, 279, 5707, 7410, 323, 9499, 13819, 51259, 690, 387, 7319, 11, 264, 4499, 14046, 1430, 690, 387, 63196, 369, 459, 1097, 60522, 11, 323, 279, 4732, 21037, 690, 387, 9249, 4856, 1109, 22936, 627, 64431, 58513, 220, 18, 12, 18, 14, 23, 12, 323, 220, 19, 12, 20, 14, 23, 25224, 9249, 4732, 33504, 1373, 459, 20314, 8450, 24950, 505, 220, 806, 11, 931, 311, 220, 5120, 11, 931, 66557, 824, 14929, 13, 15535, 33504, 527, 86085, 555, 79128, 279, 330, 35, 3378, 1, 32267, 1306, 264, 5754, 1296, 13, 578, 88206, 1430, 5663, 1243, 312, 1355, 14445, 4861, 311, 279, 502, 11, 37065, 7597, 5403, 627, 19503, 845, 28334, 8450, 14143, 25, 1511, 389, 19722, 477, 65035, 92096, 430, 617, 264, 22936, 4732, 21037, 14994, 6678, 13, 578, 28334, 8450, 14143, 41800, 279, 4732, 21037, 14994, 323, 19159, 264, 330, 38576, 12330, 498, 902, 7064, 988, 1990, 220, 15, 323, 489, 717, 650, 13, 578, 18407, 845, 374, 264, 23134, 8450, 14143, 11, 902, 3445, 433, 7612, 489, 717, 650, 311, 14816, 11, 20426, 1063, 1403, 2695, 556, 28334, 8450, 44163, 430, 1893, 872, 1866, 22465, 627, 19503, 1114, 14337, 28334, 8450, 14143, 13253, 25, 1511, 311, 5625, 279, 3717, 505, 14337, 323, 4528, 92096, 430, 617, 264, 22936, 4732, 21037, 6678, 14994, 311, 990, 449, 279, 18407, 845, 627, 19503, 5728, 4732, 21037, 8450, 3834, 25, 1511, 311, 5625, 4732, 17738, 505, 14683, 92096, 477, 7458, 19002, 311, 832, 430, 374, 18641, 449, 279, 22591, 58513, 4732, 21037, 13, 97395, 7846, 956, 387, 8831, 1109, 5042, 264, 5030, 315, 17919, 264, 3215, 13, 4427, 22591, 58513, 4732, 33504, 617, 279, 18407, 5728, 15293, 5918, 1139, 1124, 449, 912, 8450, 3834, 4460, 627, 19503, 5932, 24229, 4732, 21037, 8450, 25, 21839, 279, 15064, 16542, 11, 433, 5829, 24229, 24088, 17738, 311, 14816, 459, 14683, 4732, 21037, 13, 1102, 9013, 220, 605, 3115, 824, 2132, 323, 60944, 279, 1205, 369, 469, 17218, 5625, 1105, 477, 28334, 8450, 44163, 57445, 8800, 279, 18874, 627, 19503, 2495, 9691, 24924, 37843, 4732, 12271, 25, 1115, 12271, 706, 264, 24924, 2010, 11, 902, 38207, 11811, 12673, 311, 279, 6678, 31468, 477, 35718, 63125, 13, 578, 18407, 2495, 9691, 690, 3493, 264, 489, 717, 53, 28334, 5304, 18468, 315, 1855, 2218, 627, 64431, 58513, 6209, 10633, 13819, 51259, 430, 990, 449, 1521, 3708, 388, 323, 810, 320, 2071, 449, 1124, 369, 31990, 2754, 1693, 25780, 4390, 1687, 1288, 923, 430, 264, 1695, 5015, 520, 279, 4750, 374, 5995, 369, 279, 10633, 2237, 31990, 311, 14816, 10489, 13, 4418, 956, 17631, 389, 279, 13192, 311, 3493, 279, 5015, 11, 439, 1455, 527, 9249, 750, 25181, 2345, 6236, 264, 12514, 5015, 9244, 505, 279, 4750, 311, 279, 46009, 13, 362, 3958, 477, 7554, 5015, 690, 1304, 13819, 51259, 449, 220, 8273, 12, 1644, 323, 220, 2075, 12, 605, 10565, 21986, 311, 31787, 3770, 4384, 2345, 15, 12, 966, 11, 220, 15, 12, 1954, 11, 323, 220, 845, 12, 11286, 10633, 13819, 51259, 690, 31787, 3485, 2539, 627, 64431, 58513, 5707, 7410, 13819, 51259, 1397, 279, 6300, 4750, 369, 279, 2134, 315, 279, 14473, 320, 15, 311, 220, 1490, 11, 477, 220, 15, 311, 220, 1041, 39126, 570, 578, 4827, 279, 13957, 11, 279, 5190, 279, 5403, 389, 279, 31990, 13, 9393, 315, 420, 11, 279, 4750, 2011, 387, 10489, 45445, 311, 3493, 279, 6300, 8450, 477, 279, 31990, 690, 1373, 3428, 477, 31787, 3770, 220, 15, 39126, 13, 28905, 513, 13412, 1288, 387, 1511, 96055, 398, 389, 279, 14906, 315, 279, 4750, 323, 350, 830, 12490, 17401, 1288, 539, 387, 1511, 627, 41790, 3708, 388, 1288, 387, 22563, 304, 279, 23730, 73929, 315, 279, 4817, 994, 3284, 13, 80900, 279, 4750, 304, 279, 2010, 477, 304, 3345, 37843, 311, 1023, 8798, 8336, 320, 72, 1770, 13, 17960, 7247, 8, 690, 5353, 279, 9499, 31990, 311, 1373, 1579, 13, 23212, 11, 30773, 826, 1288, 539, 387, 1511, 311, 1304, 264, 9499, 4750, 5052, 439, 814, 649, 5353, 279, 4750, 22477, 311, 539, 387, 7373, 85177, 304, 279, 97870, 320, 576, 1436, 5353, 279, 4750, 311, 6767, 97870, 38752, 9499, 11, 902, 374, 6118, 5190, 1109, 279, 5150, 97870, 9499, 570, 2052, 22591, 58513, 9499, 13819, 51259, 1397, 279, 4495, 4750, 71201, 527, 2561, 311, 5052, 1455, 5708, 477, 90992, 23730, 893, 333, 18938, 627, 791, 16798, 31990, 1587, 539, 1397, 264, 8450, 1093, 279, 9499, 11, 5707, 7410, 11, 323, 10633, 2237, 13819, 51259, 656, 13, 578, 16798, 31990, 374, 5042, 8599, 311, 264, 1695, 5015, 323, 30975, 11863, 2410, 627, 16179, 13678, 1550, 539, 3469, 369, 264, 259, 613, 21037, 11, 994, 832, 374, 1511, 433, 649, 636, 264, 8450, 505, 264, 6500, 11, 60692, 4793, 11, 477, 40760, 13, 4427, 17738, 1397, 459, 13253, 311, 990, 12722, 627, 791, 502, 24198, 1903, 433, 5995, 311, 4685, 279, 6300, 5707, 7410, 323, 9499, 3708, 388, 11, 4869, 279, 4113, 10633, 13192, 4750, 574, 35363, 11, 439, 433, 574, 18641, 449, 279, 14039, 6962, 31990, 13, 1556, 20314, 2592, 369, 279, 4499, 14046, 1430, 574, 4460, 11, 459, 13253, 14994, 369, 279, 4732, 21037, 596, 28334, 14143, 574, 5995, 323, 1243, 433, 574, 5042, 264, 5030, 315, 92961, 287, 279, 24858, 7090, 627, 2409, 279, 13819, 51259, 304, 2035, 323, 279, 502, 3708, 388, 10487, 13678, 596, 220, 6280, 21, 706, 264, 1972, 24858, 315, 538, 449, 264, 24724, 1427, 568, 574, 1306, 3235, 449, 279, 31638, 323, 13708, 315, 1614, 8838, 10826, 38921, 13819, 51259, 13, 720, 64431, 58513, 539, 1193, 17665, 279, 13819, 51259, 369, 279, 220, 6280, 21, 814, 5343, 264, 7155, 6857, 315, 2543, 8450, 34824, 439, 1664, 13, 578, 1579, 15502, 309, 21070, 374, 304, 279, 4732, 21037, 13, 128001, 128000, 45, 27253, 72, 5234, 7301, 20819, 3765, 85306, 386, 939, 6374, 19284, 311, 6865, 264, 89201, 7937, 16239, 57460, 1233, 505, 279, 91634, 276, 9441, 315, 37766, 22797, 1124, 311, 25760, 433, 704, 315, 5590, 627, 33, 20765, 15466, 77091, 27990, 1047, 13487, 83279, 408, 7043, 5111, 2005, 11, 9683, 451, 23184, 3842, 480, 613, 2933, 323, 83279, 408, 7957, 11583, 91846, 315, 3856, 3876, 53451, 627, 791, 2380, 57460, 1233, 1047, 13019, 279, 89201, 7937, 2403, 279, 36608, 37766, 4410, 34342, 1306, 279, 5590, 506, 27674, 660, 1124, 315, 279, 10405, 627, 791, 2380, 18784, 430, 814, 1047, 16654, 24064, 30988, 323, 506, 51271, 505, 872, 8993, 439, 264, 1121, 315, 279, 54306, 596, 18873, 627, 791, 57460, 1233, 6, 15779, 11, 6941, 1952, 82, 548, 11, 1047, 4691, 279, 5590, 311, 83173, 34342, 77091, 27990, 311, 3498, 264, 5439, 41258, 304, 279, 2254, 294, 607, 552, 323, 46794, 279, 2380, 369, 279, 34446, 36569, 627, 32, 15779, 14393, 54863, 304, 279, 7937, 11, 4491, 468, 613, 9008, 452, 1126, 33462, 11, 32069, 12007, 386, 939, 6374, 596, 32113, 10371, 369, 892, 311, 3373, 264, 69030, 627, 791, 25098, 3046, 11349, 323, 55325, 555, 279, 5590, 1051, 10212, 439, 6941, 386, 10196, 554, 468, 2192, 71, 16960, 11, 45170, 5111, 773, 21585, 386, 86, 2192, 11, 15274, 38651, 17043, 11, 16333, 67, 19870, 468, 3042, 2005, 86637, 27793, 11, 11186, 587, 318, 30451, 3105, 507, 13807, 323, 16344, 468, 53191, 39342, 32328, 6198, 627, 791, 2380, 1080, 12, 4575, 2656, 1047, 1027, 22340, 1306, 279, 34342, 11887, 279, 1162, 2403, 1124, 11, 4869, 11, 279, 41952, 323, 18993, 32467, 7301, 11713, 369, 1124, 311, 387, 69767, 660, 627, 70786, 3296, 2453, 507, 983, 12874, 4726, 11713, 279, 8993, 311, 46794, 279, 2380, 264, 2694, 315, 735, 939, 21, 13, 23, 34629, 627, 791, 89201, 7937, 690, 387, 9932, 389, 6841, 220, 966, 1405, 279, 21866, 690, 617, 311, 7838, 3508, 814, 617, 4183, 264, 69030, 13, 128001 ]
[ -100, 35079, 304, 904, 6617, 1841, 323, 636, 743, 311, 4027, 433, 709, 323, 17393, 527, 279, 28065, 690, 3177, 709, 1093, 264, 9160, 4047, 5780, 8208, 59654, 17172, 13, 27956, 13001, 320, 19171, 14183, 311, 439, 3371, 83, 1604, 13001, 555, 1690, 17032, 11, 323, 43358, 13001, 555, 1455, 40508, 43448, 8, 690, 13519, 264, 8205, 315, 8811, 22124, 11, 2737, 40850, 323, 20472, 430, 527, 4994, 315, 279, 4725, 2134, 11, 41353, 1887, 28950, 11, 14365, 430, 7784, 956, 8036, 11, 3428, 10633, 5990, 11, 323, 1070, 596, 4762, 832, 430, 2840, 4336, 76389, 994, 279, 1510, 8323, 374, 3389, 627, 20093, 13001, 304, 2035, 315, 13819, 51259, 7784, 956, 2216, 502, 26, 39253, 1511, 1124, 311, 13519, 3428, 5707, 7410, 323, 3428, 14143, 2612, 304, 279, 220, 7285, 15, 82, 13, 578, 5811, 1243, 439, 1457, 374, 430, 12050, 1541, 956, 2343, 1790, 6666, 311, 279, 13819, 51259, 11, 779, 52394, 264, 10163, 3177, 374, 810, 4461, 311, 636, 14000, 13, 2030, 1418, 430, 1253, 3881, 311, 279, 5578, 9048, 380, 11, 1884, 889, 1427, 520, 872, 9515, 439, 810, 1109, 264, 3445, 315, 18386, 1093, 311, 2567, 23204, 389, 872, 7458, 596, 16595, 5865, 11, 323, 279, 1888, 1648, 311, 656, 430, 374, 449, 459, 13687, 14473, 627, 1959, 279, 3347, 1060, 477, 779, 32639, 13678, 10919, 706, 1027, 7231, 813, 1176, 1841, 11, 264, 220, 6280, 21, 14337, 11, 279, 8761, 21236, 6514, 13, 9636, 279, 3821, 1285, 8071, 315, 813, 12691, 2477, 11, 36504, 8761, 938, 634, 261, 323, 36945, 6690, 37110, 23194, 10919, 11, 279, 650, 19501, 2653, 3565, 706, 4036, 264, 1396, 315, 9013, 11, 323, 1457, 433, 574, 892, 311, 18885, 279, 78133, 627, 644, 5708, 1376, 279, 14337, 15109, 264, 4732, 21037, 11, 10633, 2237, 323, 9499, 13819, 51259, 11, 10163, 13001, 369, 3428, 5707, 7410, 323, 14143, 2612, 11, 323, 264, 9042, 13, 4203, 76051, 279, 892, 23164, 574, 1070, 779, 279, 5696, 1053, 1440, 1268, 1317, 279, 1841, 10837, 1306, 832, 477, 810, 43358, 13001, 3782, 389, 627, 1271, 2713, 279, 14337, 596, 24858, 7090, 13678, 6656, 311, 3842, 4584, 95590, 520, 22591, 58513, 13, 22591, 539, 1193, 6209, 264, 4686, 56395, 315, 13819, 51259, 304, 264, 7029, 8205, 315, 33483, 719, 814, 2955, 323, 1977, 2587, 24198, 323, 656, 17189, 30322, 13, 1666, 279, 4751, 330, 9342, 1, 24897, 11, 22591, 58513, 706, 3549, 832, 12744, 13819, 51259, 369, 264, 1317, 1160, 315, 279, 28807, 9515, 5918, 555, 279, 1455, 28289, 49186, 13, 578, 25678, 1920, 11, 439, 4584, 273, 347, 16964, 433, 11, 374, 539, 264, 35093, 315, 78133, 719, 4856, 279, 27442, 315, 13819, 51259, 304, 5708, 10687, 1701, 279, 4113, 11983, 13, 330, 2675, 649, 2567, 279, 1427, 315, 701, 13819, 51259, 7154, 4113, 304, 11341, 477, 32187, 1124, 311, 5052, 701, 2447, 1210, 13678, 14896, 13819, 51259, 430, 1051, 3345, 311, 4113, 304, 11341, 719, 3117, 2731, 304, 3878, 315, 13708, 627, 42172, 24766, 13819, 51259, 649, 387, 18255, 1139, 1403, 6913, 11306, 11, 22936, 323, 9249, 13, 2468, 832, 892, 22936, 13819, 51259, 1051, 46603, 1606, 330, 54719, 527, 1148, 7102, 9515, 617, 3343, 5046, 3388, 1455, 4216, 7102, 9515, 3287, 956, 617, 459, 20314, 1887, 779, 430, 74035, 279, 2671, 13, 763, 2144, 11, 279, 1888, 2944, 369, 1701, 22936, 13819, 51259, 574, 430, 814, 1047, 7191, 21070, 31409, 2134, 22416, 5219, 1436, 387, 9041, 704, 11, 3339, 1124, 8831, 311, 1373, 1109, 279, 14595, 2875, 1355, 49642, 20314, 13819, 51259, 13, 2030, 11, 9523, 311, 6617, 5557, 11, 430, 706, 5614, 13, 3161, 279, 4500, 315, 279, 3805, 6332, 19567, 323, 27877, 16622, 894, 11, 9249, 13819, 51259, 649, 617, 709, 311, 220, 3101, 12628, 315, 7597, 7351, 11, 439, 1790, 439, 690, 387, 1766, 389, 1455, 22936, 13819, 51259, 11, 449, 71257, 13708, 627, 644, 1455, 5157, 11, 994, 25678, 1303, 459, 9191, 14473, 7090, 279, 2134, 315, 279, 5707, 7410, 323, 9499, 13819, 51259, 690, 387, 7319, 11, 264, 4499, 14046, 1430, 690, 387, 63196, 369, 459, 1097, 60522, 11, 323, 279, 4732, 21037, 690, 387, 9249, 4856, 1109, 22936, 627, 64431, 58513, 220, 18, 12, 18, 14, 23, 12, 323, 220, 19, 12, 20, 14, 23, 25224, 9249, 4732, 33504, 1373, 459, 20314, 8450, 24950, 505, 220, 806, 11, 931, 311, 220, 5120, 11, 931, 66557, 824, 14929, 13, 15535, 33504, 527, 86085, 555, 79128, 279, 330, 35, 3378, 1, 32267, 1306, 264, 5754, 1296, 13, 578, 88206, 1430, 5663, 1243, 312, 1355, 14445, 4861, 311, 279, 502, 11, 37065, 7597, 5403, 627, 19503, 845, 28334, 8450, 14143, 25, 1511, 389, 19722, 477, 65035, 92096, 430, 617, 264, 22936, 4732, 21037, 14994, 6678, 13, 578, 28334, 8450, 14143, 41800, 279, 4732, 21037, 14994, 323, 19159, 264, 330, 38576, 12330, 498, 902, 7064, 988, 1990, 220, 15, 323, 489, 717, 650, 13, 578, 18407, 845, 374, 264, 23134, 8450, 14143, 11, 902, 3445, 433, 7612, 489, 717, 650, 311, 14816, 11, 20426, 1063, 1403, 2695, 556, 28334, 8450, 44163, 430, 1893, 872, 1866, 22465, 627, 19503, 1114, 14337, 28334, 8450, 14143, 13253, 25, 1511, 311, 5625, 279, 3717, 505, 14337, 323, 4528, 92096, 430, 617, 264, 22936, 4732, 21037, 6678, 14994, 311, 990, 449, 279, 18407, 845, 627, 19503, 5728, 4732, 21037, 8450, 3834, 25, 1511, 311, 5625, 4732, 17738, 505, 14683, 92096, 477, 7458, 19002, 311, 832, 430, 374, 18641, 449, 279, 22591, 58513, 4732, 21037, 13, 97395, 7846, 956, 387, 8831, 1109, 5042, 264, 5030, 315, 17919, 264, 3215, 13, 4427, 22591, 58513, 4732, 33504, 617, 279, 18407, 5728, 15293, 5918, 1139, 1124, 449, 912, 8450, 3834, 4460, 627, 19503, 5932, 24229, 4732, 21037, 8450, 25, 21839, 279, 15064, 16542, 11, 433, 5829, 24229, 24088, 17738, 311, 14816, 459, 14683, 4732, 21037, 13, 1102, 9013, 220, 605, 3115, 824, 2132, 323, 60944, 279, 1205, 369, 469, 17218, 5625, 1105, 477, 28334, 8450, 44163, 57445, 8800, 279, 18874, 627, 19503, 2495, 9691, 24924, 37843, 4732, 12271, 25, 1115, 12271, 706, 264, 24924, 2010, 11, 902, 38207, 11811, 12673, 311, 279, 6678, 31468, 477, 35718, 63125, 13, 578, 18407, 2495, 9691, 690, 3493, 264, 489, 717, 53, 28334, 5304, 18468, 315, 1855, 2218, 627, 64431, 58513, 6209, 10633, 13819, 51259, 430, 990, 449, 1521, 3708, 388, 323, 810, 320, 2071, 449, 1124, 369, 31990, 2754, 1693, 25780, 4390, 1687, 1288, 923, 430, 264, 1695, 5015, 520, 279, 4750, 374, 5995, 369, 279, 10633, 2237, 31990, 311, 14816, 10489, 13, 4418, 956, 17631, 389, 279, 13192, 311, 3493, 279, 5015, 11, 439, 1455, 527, 9249, 750, 25181, 2345, 6236, 264, 12514, 5015, 9244, 505, 279, 4750, 311, 279, 46009, 13, 362, 3958, 477, 7554, 5015, 690, 1304, 13819, 51259, 449, 220, 8273, 12, 1644, 323, 220, 2075, 12, 605, 10565, 21986, 311, 31787, 3770, 4384, 2345, 15, 12, 966, 11, 220, 15, 12, 1954, 11, 323, 220, 845, 12, 11286, 10633, 13819, 51259, 690, 31787, 3485, 2539, 627, 64431, 58513, 5707, 7410, 13819, 51259, 1397, 279, 6300, 4750, 369, 279, 2134, 315, 279, 14473, 320, 15, 311, 220, 1490, 11, 477, 220, 15, 311, 220, 1041, 39126, 570, 578, 4827, 279, 13957, 11, 279, 5190, 279, 5403, 389, 279, 31990, 13, 9393, 315, 420, 11, 279, 4750, 2011, 387, 10489, 45445, 311, 3493, 279, 6300, 8450, 477, 279, 31990, 690, 1373, 3428, 477, 31787, 3770, 220, 15, 39126, 13, 28905, 513, 13412, 1288, 387, 1511, 96055, 398, 389, 279, 14906, 315, 279, 4750, 323, 350, 830, 12490, 17401, 1288, 539, 387, 1511, 627, 41790, 3708, 388, 1288, 387, 22563, 304, 279, 23730, 73929, 315, 279, 4817, 994, 3284, 13, 80900, 279, 4750, 304, 279, 2010, 477, 304, 3345, 37843, 311, 1023, 8798, 8336, 320, 72, 1770, 13, 17960, 7247, 8, 690, 5353, 279, 9499, 31990, 311, 1373, 1579, 13, 23212, 11, 30773, 826, 1288, 539, 387, 1511, 311, 1304, 264, 9499, 4750, 5052, 439, 814, 649, 5353, 279, 4750, 22477, 311, 539, 387, 7373, 85177, 304, 279, 97870, 320, 576, 1436, 5353, 279, 4750, 311, 6767, 97870, 38752, 9499, 11, 902, 374, 6118, 5190, 1109, 279, 5150, 97870, 9499, 570, 2052, 22591, 58513, 9499, 13819, 51259, 1397, 279, 4495, 4750, 71201, 527, 2561, 311, 5052, 1455, 5708, 477, 90992, 23730, 893, 333, 18938, 627, 791, 16798, 31990, 1587, 539, 1397, 264, 8450, 1093, 279, 9499, 11, 5707, 7410, 11, 323, 10633, 2237, 13819, 51259, 656, 13, 578, 16798, 31990, 374, 5042, 8599, 311, 264, 1695, 5015, 323, 30975, 11863, 2410, 627, 16179, 13678, 1550, 539, 3469, 369, 264, 259, 613, 21037, 11, 994, 832, 374, 1511, 433, 649, 636, 264, 8450, 505, 264, 6500, 11, 60692, 4793, 11, 477, 40760, 13, 4427, 17738, 1397, 459, 13253, 311, 990, 12722, 627, 791, 502, 24198, 1903, 433, 5995, 311, 4685, 279, 6300, 5707, 7410, 323, 9499, 3708, 388, 11, 4869, 279, 4113, 10633, 13192, 4750, 574, 35363, 11, 439, 433, 574, 18641, 449, 279, 14039, 6962, 31990, 13, 1556, 20314, 2592, 369, 279, 4499, 14046, 1430, 574, 4460, 11, 459, 13253, 14994, 369, 279, 4732, 21037, 596, 28334, 14143, 574, 5995, 323, 1243, 433, 574, 5042, 264, 5030, 315, 92961, 287, 279, 24858, 7090, 627, 2409, 279, 13819, 51259, 304, 2035, 323, 279, 502, 3708, 388, 10487, 13678, 596, 220, 6280, 21, 706, 264, 1972, 24858, 315, 538, 449, 264, 24724, 1427, 568, 574, 1306, 3235, 449, 279, 31638, 323, 13708, 315, 1614, 8838, 10826, 38921, 13819, 51259, 13, 720, 64431, 58513, 539, 1193, 17665, 279, 13819, 51259, 369, 279, 220, 6280, 21, 814, 5343, 264, 7155, 6857, 315, 2543, 8450, 34824, 439, 1664, 13, 578, 1579, 15502, 309, 21070, 374, 304, 279, 4732, 21037, 13, 128001, -100, 45, 27253, 72, 5234, 7301, 20819, 3765, 85306, 386, 939, 6374, 19284, 311, 6865, 264, 89201, 7937, 16239, 57460, 1233, 505, 279, 91634, 276, 9441, 315, 37766, 22797, 1124, 311, 25760, 433, 704, 315, 5590, 627, 33, 20765, 15466, 77091, 27990, 1047, 13487, 83279, 408, 7043, 5111, 2005, 11, 9683, 451, 23184, 3842, 480, 613, 2933, 323, 83279, 408, 7957, 11583, 91846, 315, 3856, 3876, 53451, 627, 791, 2380, 57460, 1233, 1047, 13019, 279, 89201, 7937, 2403, 279, 36608, 37766, 4410, 34342, 1306, 279, 5590, 506, 27674, 660, 1124, 315, 279, 10405, 627, 791, 2380, 18784, 430, 814, 1047, 16654, 24064, 30988, 323, 506, 51271, 505, 872, 8993, 439, 264, 1121, 315, 279, 54306, 596, 18873, 627, 791, 57460, 1233, 6, 15779, 11, 6941, 1952, 82, 548, 11, 1047, 4691, 279, 5590, 311, 83173, 34342, 77091, 27990, 311, 3498, 264, 5439, 41258, 304, 279, 2254, 294, 607, 552, 323, 46794, 279, 2380, 369, 279, 34446, 36569, 627, 32, 15779, 14393, 54863, 304, 279, 7937, 11, 4491, 468, 613, 9008, 452, 1126, 33462, 11, 32069, 12007, 386, 939, 6374, 596, 32113, 10371, 369, 892, 311, 3373, 264, 69030, 627, 791, 25098, 3046, 11349, 323, 55325, 555, 279, 5590, 1051, 10212, 439, 6941, 386, 10196, 554, 468, 2192, 71, 16960, 11, 45170, 5111, 773, 21585, 386, 86, 2192, 11, 15274, 38651, 17043, 11, 16333, 67, 19870, 468, 3042, 2005, 86637, 27793, 11, 11186, 587, 318, 30451, 3105, 507, 13807, 323, 16344, 468, 53191, 39342, 32328, 6198, 627, 791, 2380, 1080, 12, 4575, 2656, 1047, 1027, 22340, 1306, 279, 34342, 11887, 279, 1162, 2403, 1124, 11, 4869, 11, 279, 41952, 323, 18993, 32467, 7301, 11713, 369, 1124, 311, 387, 69767, 660, 627, 70786, 3296, 2453, 507, 983, 12874, 4726, 11713, 279, 8993, 311, 46794, 279, 2380, 264, 2694, 315, 735, 939, 21, 13, 23, 34629, 627, 791, 89201, 7937, 690, 387, 9932, 389, 6841, 220, 966, 1405, 279, 21866, 690, 617, 311, 7838, 3508, 814, 617, 4183, 264, 69030, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 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, 40, 8220, 1443, 34601, 4969, 64, 674, 24, 627, 2181, 5992, 1093, 279, 1828, 8286, 374, 2133, 311, 387, 279, 1566, 627, 23956, 3727, 5647, 11, 1606, 3383, 84, 1193, 706, 220, 605, 19779, 323, 1364, 649, 956, 1501, 5190, 5219, 389, 279, 3504, 627, 34141, 420, 2305, 11, 856, 502, 80115, 3502, 31412, 3782, 311, 4034, 627, 8100, 574, 264, 2466, 8571, 315, 19915, 30389, 11, 323, 994, 358, 6688, 1077, 279, 1566, 8286, 315, 19915, 30389, 11, 1364, 574, 12703, 430, 433, 574, 927, 627, 4516, 358, 48907, 1077, 1443, 34601, 4969, 64, 11, 16026, 1364, 1053, 1373, 1884, 1828, 627, 3947, 527, 502, 16007, 15583, 811, 304, 8286, 220, 24, 11, 779, 4587, 1427, 4741, 311, 433, 627, 65786, 27690, 674, 806, 374, 40991, 4999, 40, 574, 6380, 311, 1518, 430, 26099, 27690, 674, 806, 574, 1120, 6004, 389, 279, 220, 21, 339, 304, 6457, 627, 40, 649, 956, 3868, 311, 5371, 433, 505, 8351, 14644, 311, 990, 389, 433, 4999, 40, 3077, 1027, 10307, 26099, 27690, 279, 23655, 389, 305, 25415, 916, 15716, 358, 3287, 956, 1390, 311, 990, 627, 40, 14333, 433, 264, 2763, 11, 2533, 358, 3287, 956, 990, 389, 1455, 315, 279, 4101, 627, 9149, 1193, 3940, 3318, 389, 433, 505, 8286, 220, 24, 4390, 4516, 1070, 374, 264, 3361, 7347, 14002, 369, 8286, 220, 806, 627, 2181, 4131, 449, 264, 20156, 11325, 1405, 279, 7899, 20142, 505, 279, 23655, 1180, 704, 279, 1566, 15952, 11, 279, 95547, 15394, 627, 2181, 596, 4661, 220, 1399, 4520, 1317, 627, 40, 3463, 430, 574, 5128, 7155, 11, 2533, 279, 23655, 4101, 2646, 20250, 4205, 627, 2028, 374, 3249, 11, 369, 1274, 889, 1193, 5602, 279, 23655, 11, 1288, 3780, 279, 35350, 4101, 0, 22335, 4999, 12174, 11, 358, 2751, 26099, 27690, 674, 605, 304, 279, 8232, 279, 1023, 1938, 11, 779, 430, 1288, 387, 704, 5246, 627, 2181, 596, 5128, 51940, 11, 779, 4587, 1817, 433, 704, 627, 40, 8220, 816, 9700, 587, 5808, 70184, 295, 674, 21, 627, 791, 3229, 34945, 2555, 922, 279, 3504, 627, 40, 2231, 433, 304, 279, 14807, 8554, 11, 719, 8286, 220, 21, 574, 6004, 304, 1403, 20447, 627, 4054, 574, 264, 7347, 14002, 449, 264, 2204, 3504, 320, 49, 258, 8, 323, 3782, 449, 264, 11325, 627, 32, 20156, 11325, 11, 358, 1781, 627, 2181, 1101, 3782, 449, 279, 6424, 5609, 627, 1966, 264, 6928, 5296, 11, 279, 8286, 1047, 459, 5066, 12735, 477, 1403, 627, 2181, 574, 264, 8834, 2363, 627, 2688, 2771, 1268, 279, 2883, 690, 3568, 449, 279, 3430, 1486, 11, 719, 4587, 1817, 433, 704, 0, 128001, 128000, 10172, 3151, 7526, 311, 7945, 40308, 369, 37846, 25065, 627, 12, 24086, 12051, 13374, 198, 12, 2806, 2052, 198, 29353, 29287, 477, 37846, 8631, 374, 264, 3682, 20893, 311, 19641, 5788, 31550, 13, 18317, 28875, 388, 617, 1511, 264, 7029, 2134, 315, 14645, 311, 7946, 28875, 36680, 430, 2804, 1664, 1234, 279, 6650, 4787, 369, 872, 2218, 22484, 719, 814, 527, 2744, 11125, 502, 10708, 311, 18885, 7969, 315, 19465, 8895, 13, 9636, 37846, 11, 7692, 374, 11075, 555, 279, 18052, 315, 3977, 5990, 315, 3090, 29287, 4028, 279, 48006, 2324, 315, 279, 19641, 13, 9500, 24203, 14645, 1051, 3970, 439, 264, 1853, 311, 3619, 279, 19465, 323, 12434, 23965, 315, 37846, 8631, 13, 2057, 387, 9959, 311, 40308, 7620, 11, 81064, 7978, 2011, 2980, 279, 7138, 315, 37846, 8631, 304, 279, 2218, 4676, 323, 1005, 6136, 3769, 323, 14345, 67247, 12823, 430, 29243, 311, 2115, 4787, 627, 4752, 3917, 3158, 128001, 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 50671, 10865, 388, 1680, 923, 342, 36614, 20177, 41324, 8390, 21484, 1250, 5594, 5408, 720, 5223, 62, 15, 25, 7860, 7817, 881, 38, 36614, 60887, 1701, 69111, 12, 63044, 11, 21431, 1250, 11, 58399, 35185, 323, 37179, 19703, 15533, 18304, 38513, 25, 3788, 1129, 50248, 20177, 41324, 8390, 21484, 1250, 5181, 56600, 916, 30210, 4727, 25, 3788, 1129, 5316, 916, 2754, 2706, 14468, 391, 1662, 4951, 36614, 20177, 41324, 8390, 21484, 1250, 5594, 5408, 128001, 128000, 91, 47, 2862, 40796, 358, 7511, 45, 48121, 34457, 32186, 574, 87195, 13, 426, 51209, 16495, 97706, 2410, 304, 872, 4040, 1891, 511, 84836, 323, 12305, 279, 9927, 288, 315, 279, 13041, 37194, 3168, 13, 30013, 2477, 288, 1047, 58764, 279, 5274, 315, 279, 26365, 2826, 11, 323, 279, 9036, 2826, 315, 279, 64372, 927, 1023, 66723, 1047, 1101, 1027, 58764, 627, 86279, 19736, 5614, 420, 11, 304, 961, 11, 555, 813, 6514, 315, 82311, 3842, 315, 35074, 15299, 13, 3842, 75440, 449, 279, 64372, 927, 12098, 14400, 555, 279, 26365, 2826, 13, 1283, 52942, 42963, 889, 71803, 449, 813, 10396, 323, 78913, 813, 66723, 627, 13379, 8770, 2920, 279, 34616, 24005, 315, 279, 2477, 288, 11, 889, 16495, 311, 4546, 1461, 311, 12437, 520, 279, 26365, 278, 63992, 13, 30460, 40796, 506, 26660, 660, 3842, 1606, 315, 813, 44251, 311, 2586, 1603, 279, 63992, 13, 3842, 32545, 2230, 11, 323, 1243, 574, 506, 26660, 660, 1578, 369, 813, 67029, 449, 1023, 506, 26660, 660, 5438, 65, 51209, 627, 791, 9417, 449, 82311, 3842, 315, 35074, 15299, 323, 2500, 449, 82311, 473, 2910, 5730, 315, 1050, 5861, 6573, 1908, 279, 9036, 2826, 315, 279, 26365, 2826, 304, 13146, 1651, 2101, 311, 279, 3560, 315, 279, 64372, 304, 279, 30022, 315, 279, 8993, 323, 813, 2585, 927, 813, 66723, 13, 473, 2910, 5730, 16475, 279, 1314, 315, 14638, 311, 279, 64372, 304, 13146, 315, 34014, 76995, 561, 950, 50787, 719, 9778, 15324, 420, 5897, 2410, 315, 279, 26365, 2826, 627, 86279, 19736, 1101, 60862, 279, 11447, 315, 279, 26365, 2826, 927, 279, 11103, 7016, 315, 279, 8993, 13, 6621, 339, 1334, 8105, 315, 445, 91122, 1047, 2163, 813, 7555, 311, 32918, 2500, 5333, 13, 2468, 279, 24028, 347, 315, 362, 46799, 304, 220, 24071, 11, 279, 66723, 315, 445, 91122, 12054, 315, 279, 6929, 315, 6621, 339, 1334, 627, 14364, 6925, 347, 11, 5762, 304, 6344, 89, 304, 220, 26051, 11, 39025, 6621, 339, 1334, 369, 78339, 813, 52321, 7555, 13, 30460, 40796, 11, 8010, 315, 279, 52133, 11429, 315, 279, 1403, 6925, 30797, 11, 7263, 279, 5438, 65, 51209, 889, 23759, 279, 1403, 11429, 1603, 1461, 627, 791, 62646, 6197, 311, 506, 51271, 369, 2225, 5438, 65, 51209, 323, 21623, 315, 35414, 12140, 8105, 11, 889, 52942, 40796, 304, 800, 13, 11291, 753, 67070, 3074, 369, 1403, 2919, 13, 40796, 6575, 2653, 311, 64508, 6621, 339, 1334, 323, 813, 7555, 11, 311, 912, 39011, 627, 32576, 30460, 40796, 753, 12474, 20160, 311, 3925, 574, 813, 21967, 315, 9036, 2826, 927, 279, 71321, 82, 315, 92287, 1184, 323, 279, 8993, 315, 279, 6460, 13, 23860, 1132, 34881, 266, 9334, 574, 409, 3950, 304, 220, 20907, 304, 20535, 315, 34014, 76995, 561, 950, 2383, 13, 1283, 506, 26660, 660, 34881, 266, 9334, 753, 45522, 34665, 11, 18235, 9334, 11, 323, 6197, 279, 66723, 315, 279, 6460, 311, 64508, 449, 34881, 266, 9334, 627, 791, 24024, 66723, 8617, 26267, 11928, 430, 279, 64372, 574, 1054, 3983, 4315, 17239, 2029, 32743, 278, 9036, 2826, 304, 8993, 33235, 574, 6573, 1908, 304, 40796, 753, 11495, 6661, 33171, 64, 83440, 2192, 1008, 48662, 13805, 12440, 34106, 13, 18341, 86316, 1047, 6051, 16489, 59819, 627, 33, 56099, 10649, 753, 49080, 19912, 52771, 53382, 311, 279, 64372, 304, 220, 26051, 311, 4320, 220, 7461, 4860, 389, 279, 45572, 315, 279, 8993, 13, 40796, 19089, 279, 4860, 323, 11, 439, 1063, 315, 813, 62540, 11, 743, 279, 9327, 369, 61990, 992, 4860, 311, 387, 19089, 555, 279, 64372, 11, 539, 555, 2254, 66723, 323, 63584, 13, 128001 ]
[ -100, 40, 8220, 1443, 34601, 4969, 64, 674, 24, 627, 2181, 5992, 1093, 279, 1828, 8286, 374, 2133, 311, 387, 279, 1566, 627, 23956, 3727, 5647, 11, 1606, 3383, 84, 1193, 706, 220, 605, 19779, 323, 1364, 649, 956, 1501, 5190, 5219, 389, 279, 3504, 627, 34141, 420, 2305, 11, 856, 502, 80115, 3502, 31412, 3782, 311, 4034, 627, 8100, 574, 264, 2466, 8571, 315, 19915, 30389, 11, 323, 994, 358, 6688, 1077, 279, 1566, 8286, 315, 19915, 30389, 11, 1364, 574, 12703, 430, 433, 574, 927, 627, 4516, 358, 48907, 1077, 1443, 34601, 4969, 64, 11, 16026, 1364, 1053, 1373, 1884, 1828, 627, 3947, 527, 502, 16007, 15583, 811, 304, 8286, 220, 24, 11, 779, 4587, 1427, 4741, 311, 433, 627, 65786, 27690, 674, 806, 374, 40991, 4999, 40, 574, 6380, 311, 1518, 430, 26099, 27690, 674, 806, 574, 1120, 6004, 389, 279, 220, 21, 339, 304, 6457, 627, 40, 649, 956, 3868, 311, 5371, 433, 505, 8351, 14644, 311, 990, 389, 433, 4999, 40, 3077, 1027, 10307, 26099, 27690, 279, 23655, 389, 305, 25415, 916, 15716, 358, 3287, 956, 1390, 311, 990, 627, 40, 14333, 433, 264, 2763, 11, 2533, 358, 3287, 956, 990, 389, 1455, 315, 279, 4101, 627, 9149, 1193, 3940, 3318, 389, 433, 505, 8286, 220, 24, 4390, 4516, 1070, 374, 264, 3361, 7347, 14002, 369, 8286, 220, 806, 627, 2181, 4131, 449, 264, 20156, 11325, 1405, 279, 7899, 20142, 505, 279, 23655, 1180, 704, 279, 1566, 15952, 11, 279, 95547, 15394, 627, 2181, 596, 4661, 220, 1399, 4520, 1317, 627, 40, 3463, 430, 574, 5128, 7155, 11, 2533, 279, 23655, 4101, 2646, 20250, 4205, 627, 2028, 374, 3249, 11, 369, 1274, 889, 1193, 5602, 279, 23655, 11, 1288, 3780, 279, 35350, 4101, 0, 22335, 4999, 12174, 11, 358, 2751, 26099, 27690, 674, 605, 304, 279, 8232, 279, 1023, 1938, 11, 779, 430, 1288, 387, 704, 5246, 627, 2181, 596, 5128, 51940, 11, 779, 4587, 1817, 433, 704, 627, 40, 8220, 816, 9700, 587, 5808, 70184, 295, 674, 21, 627, 791, 3229, 34945, 2555, 922, 279, 3504, 627, 40, 2231, 433, 304, 279, 14807, 8554, 11, 719, 8286, 220, 21, 574, 6004, 304, 1403, 20447, 627, 4054, 574, 264, 7347, 14002, 449, 264, 2204, 3504, 320, 49, 258, 8, 323, 3782, 449, 264, 11325, 627, 32, 20156, 11325, 11, 358, 1781, 627, 2181, 1101, 3782, 449, 279, 6424, 5609, 627, 1966, 264, 6928, 5296, 11, 279, 8286, 1047, 459, 5066, 12735, 477, 1403, 627, 2181, 574, 264, 8834, 2363, 627, 2688, 2771, 1268, 279, 2883, 690, 3568, 449, 279, 3430, 1486, 11, 719, 4587, 1817, 433, 704, 0, 128001, -100, 10172, 3151, 7526, 311, 7945, 40308, 369, 37846, 25065, 627, 12, 24086, 12051, 13374, 198, 12, 2806, 2052, 198, 29353, 29287, 477, 37846, 8631, 374, 264, 3682, 20893, 311, 19641, 5788, 31550, 13, 18317, 28875, 388, 617, 1511, 264, 7029, 2134, 315, 14645, 311, 7946, 28875, 36680, 430, 2804, 1664, 1234, 279, 6650, 4787, 369, 872, 2218, 22484, 719, 814, 527, 2744, 11125, 502, 10708, 311, 18885, 7969, 315, 19465, 8895, 13, 9636, 37846, 11, 7692, 374, 11075, 555, 279, 18052, 315, 3977, 5990, 315, 3090, 29287, 4028, 279, 48006, 2324, 315, 279, 19641, 13, 9500, 24203, 14645, 1051, 3970, 439, 264, 1853, 311, 3619, 279, 19465, 323, 12434, 23965, 315, 37846, 8631, 13, 2057, 387, 9959, 311, 40308, 7620, 11, 81064, 7978, 2011, 2980, 279, 7138, 315, 37846, 8631, 304, 279, 2218, 4676, 323, 1005, 6136, 3769, 323, 14345, 67247, 12823, 430, 29243, 311, 2115, 4787, 627, 4752, 3917, 3158, 128001, -100, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 50671, 10865, 388, 1680, 923, 342, 36614, 20177, 41324, 8390, 21484, 1250, 5594, 5408, 720, 5223, 62, 15, 25, 7860, 7817, 881, 38, 36614, 60887, 1701, 69111, 12, 63044, 11, 21431, 1250, 11, 58399, 35185, 323, 37179, 19703, 15533, 18304, 38513, 25, 3788, 1129, 50248, 20177, 41324, 8390, 21484, 1250, 5181, 56600, 916, 30210, 4727, 25, 3788, 1129, 5316, 916, 2754, 2706, 14468, 391, 1662, 4951, 36614, 20177, 41324, 8390, 21484, 1250, 5594, 5408, 128001, -100, 91, 47, 2862, 40796, 358, 7511, 45, 48121, 34457, 32186, 574, 87195, 13, 426, 51209, 16495, 97706, 2410, 304, 872, 4040, 1891, 511, 84836, 323, 12305, 279, 9927, 288, 315, 279, 13041, 37194, 3168, 13, 30013, 2477, 288, 1047, 58764, 279, 5274, 315, 279, 26365, 2826, 11, 323, 279, 9036, 2826, 315, 279, 64372, 927, 1023, 66723, 1047, 1101, 1027, 58764, 627, 86279, 19736, 5614, 420, 11, 304, 961, 11, 555, 813, 6514, 315, 82311, 3842, 315, 35074, 15299, 13, 3842, 75440, 449, 279, 64372, 927, 12098, 14400, 555, 279, 26365, 2826, 13, 1283, 52942, 42963, 889, 71803, 449, 813, 10396, 323, 78913, 813, 66723, 627, 13379, 8770, 2920, 279, 34616, 24005, 315, 279, 2477, 288, 11, 889, 16495, 311, 4546, 1461, 311, 12437, 520, 279, 26365, 278, 63992, 13, 30460, 40796, 506, 26660, 660, 3842, 1606, 315, 813, 44251, 311, 2586, 1603, 279, 63992, 13, 3842, 32545, 2230, 11, 323, 1243, 574, 506, 26660, 660, 1578, 369, 813, 67029, 449, 1023, 506, 26660, 660, 5438, 65, 51209, 627, 791, 9417, 449, 82311, 3842, 315, 35074, 15299, 323, 2500, 449, 82311, 473, 2910, 5730, 315, 1050, 5861, 6573, 1908, 279, 9036, 2826, 315, 279, 26365, 2826, 304, 13146, 1651, 2101, 311, 279, 3560, 315, 279, 64372, 304, 279, 30022, 315, 279, 8993, 323, 813, 2585, 927, 813, 66723, 13, 473, 2910, 5730, 16475, 279, 1314, 315, 14638, 311, 279, 64372, 304, 13146, 315, 34014, 76995, 561, 950, 50787, 719, 9778, 15324, 420, 5897, 2410, 315, 279, 26365, 2826, 627, 86279, 19736, 1101, 60862, 279, 11447, 315, 279, 26365, 2826, 927, 279, 11103, 7016, 315, 279, 8993, 13, 6621, 339, 1334, 8105, 315, 445, 91122, 1047, 2163, 813, 7555, 311, 32918, 2500, 5333, 13, 2468, 279, 24028, 347, 315, 362, 46799, 304, 220, 24071, 11, 279, 66723, 315, 445, 91122, 12054, 315, 279, 6929, 315, 6621, 339, 1334, 627, 14364, 6925, 347, 11, 5762, 304, 6344, 89, 304, 220, 26051, 11, 39025, 6621, 339, 1334, 369, 78339, 813, 52321, 7555, 13, 30460, 40796, 11, 8010, 315, 279, 52133, 11429, 315, 279, 1403, 6925, 30797, 11, 7263, 279, 5438, 65, 51209, 889, 23759, 279, 1403, 11429, 1603, 1461, 627, 791, 62646, 6197, 311, 506, 51271, 369, 2225, 5438, 65, 51209, 323, 21623, 315, 35414, 12140, 8105, 11, 889, 52942, 40796, 304, 800, 13, 11291, 753, 67070, 3074, 369, 1403, 2919, 13, 40796, 6575, 2653, 311, 64508, 6621, 339, 1334, 323, 813, 7555, 11, 311, 912, 39011, 627, 32576, 30460, 40796, 753, 12474, 20160, 311, 3925, 574, 813, 21967, 315, 9036, 2826, 927, 279, 71321, 82, 315, 92287, 1184, 323, 279, 8993, 315, 279, 6460, 13, 23860, 1132, 34881, 266, 9334, 574, 409, 3950, 304, 220, 20907, 304, 20535, 315, 34014, 76995, 561, 950, 2383, 13, 1283, 506, 26660, 660, 34881, 266, 9334, 753, 45522, 34665, 11, 18235, 9334, 11, 323, 6197, 279, 66723, 315, 279, 6460, 311, 64508, 449, 34881, 266, 9334, 627, 791, 24024, 66723, 8617, 26267, 11928, 430, 279, 64372, 574, 1054, 3983, 4315, 17239, 2029, 32743, 278, 9036, 2826, 304, 8993, 33235, 574, 6573, 1908, 304, 40796, 753, 11495, 6661, 33171, 64, 83440, 2192, 1008, 48662, 13805, 12440, 34106, 13, 18341, 86316, 1047, 6051, 16489, 59819, 627, 33, 56099, 10649, 753, 49080, 19912, 52771, 53382, 311, 279, 64372, 304, 220, 26051, 311, 4320, 220, 7461, 4860, 389, 279, 45572, 315, 279, 8993, 13, 40796, 19089, 279, 4860, 323, 11, 439, 1063, 315, 813, 62540, 11, 743, 279, 9327, 369, 61990, 992, 4860, 311, 387, 19089, 555, 279, 64372, 11, 539, 555, 2254, 66723, 323, 63584, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 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 ]
[ 128000, 32052, 690, 6725, 66437, 4339, 555, 5403, 323, 4477, 4339, 304, 264, 5016, 11, 2523, 1648, 4999, 40, 617, 1511, 1521, 6959, 304, 856, 14254, 3492, 4219, 369, 5066, 6725, 449, 14254, 4339, 7914, 16685, 1093, 311, 7102, 1855, 1023, 311, 1518, 1148, 2872, 690, 5266, 709, 1176, 4999, 4959, 2199, 706, 220, 21, 4339, 430, 5398, 449, 279, 5075, 12, 3617, 3212, 423, 1971, 2198, 328, 4735, 28730, 16853, 7009, 527, 1695, 5066, 6725, 323, 5255, 3477, 369, 20558, 220, 17, 303, 612, 220, 18, 6634, 6117, 388, 439, 1664, 13, 578, 1888, 961, 374, 279, 3645, 1587, 539, 2349, 13, 20783, 690, 1440, 7041, 1148, 311, 656, 13, 2360, 1205, 311, 8493, 892, 26073, 279, 37736, 4999, 40, 6118, 617, 4236, 1005, 264, 2466, 32183, 2815, 369, 1521, 68625, 323, 814, 11112, 3021, 1701, 1124, 4999, 4808, 12, 88125, 66437, 28730, 47064, 512, 29923, 810, 11, 5644, 311, 733, 11, 9506, 5664, 5955, 68625, 430, 5398, 449, 1176, 12239, 43529, 5718, 5380, 54467, 13255, 61112, 83731, 2638, 1844, 2445, 2453, 9894, 28730, 83731, 2638, 26484, 7365, 83731, 2638, 1668, 11, 28262, 612, 8377, 3165, 6427, 28730, 33455, 11, 4557, 612, 9842, 0, 77279, 128001, 128000, 10407, 388, 527, 3697, 315, 279, 4783, 315, 57148, 627, 43, 2311, 4498, 1139, 832, 315, 2380, 5315, 482, 279, 57148, 20539, 10020, 11, 279, 57148, 63849, 323, 279, 57148, 315, 62006, 320, 39166, 57148, 4390, 10407, 388, 527, 32654, 6316, 2258, 3697, 315, 20302, 320, 5901, 8, 719, 420, 4751, 374, 1511, 24121, 311, 7664, 279, 16689, 3697, 315, 279, 4783, 315, 26667, 627, 2170, 264, 1121, 315, 31343, 311, 279, 4783, 315, 57148, 11, 682, 26081, 1457, 2503, 304, 279, 4783, 555, 35460, 315, 264, 2324, 14734, 425, 627, 2028, 5764, 279, 220, 6083, 1077, 95454, 26081, 889, 1051, 5535, 311, 14389, 872, 16250, 994, 279, 4783, 315, 57148, 3298, 220, 2550, 24, 62765, 279, 1314, 315, 279, 1023, 220, 13655, 1077, 95454, 26081, 311, 2503, 304, 279, 8582, 25199, 627, 791, 57148, 63849, 2503, 555, 35460, 315, 872, 2361, 304, 279, 9441, 315, 9635, 323, 539, 439, 26081, 304, 872, 1866, 1314, 627, 39166, 57148, 527, 6118, 10195, 24958, 889, 617, 1027, 2728, 2324, 14734, 1154, 779, 430, 814, 649, 6920, 704, 279, 31752, 990, 315, 279, 4783, 315, 57148, 627, 4071, 439, 315, 6664, 220, 1049, 24, 11, 279, 7658, 57148, 690, 9229, 872, 1314, 311, 2503, 304, 279, 4783, 315, 57148, 994, 264, 44222, 5590, 690, 387, 9749, 902, 690, 387, 9678, 315, 20302, 13, 128001, 128000, 791, 1239, 278, 64543, 315, 387, 21632, 6348, 5014, 304, 264, 40798, 7982, 3158, 35730, 311, 1690, 13863, 388, 13, 16528, 304, 264, 8205, 315, 2204, 27230, 11, 387, 21632, 6348, 5014, 3493, 6366, 92889, 304, 3389, 10683, 311, 57681, 264, 23153, 4950, 13, 1398, 20588, 65042, 92889, 15884, 311, 10765, 264, 387, 21632, 65042, 13, 578, 387, 21632, 65042, 8205, 15662, 1202, 836, 11, 6376, 433, 10980, 505, 1023, 65042, 36680, 304, 264, 3361, 1648, 627, 12, 28582, 2237, 512, 12, 44527, 2718, 19122, 198, 11663, 9029, 8886, 18242, 198, 56391, 198, 12, 220, 16, 198, 849, 20588, 279, 65042, 92889, 13, 66821, 92889, 682, 617, 4848, 96740, 449, 279, 1890, 6913, 10886, 323, 17503, 13, 578, 10886, 527, 279, 2380, 96740, 430, 10205, 49685, 389, 279, 89858, 13, 578, 17503, 527, 279, 2380, 96740, 430, 15020, 2212, 279, 13116, 315, 279, 89858, 627, 12, 220, 17, 198, 10596, 369, 279, 1401, 29683, 430, 36611, 323, 7437, 387, 21632, 6348, 5014, 10980, 505, 1023, 65042, 36680, 13, 2893, 21632, 6348, 5014, 617, 264, 53833, 2697, 330, 1395, 569, 1, 81458, 51867, 505, 279, 12541, 315, 279, 50823, 7085, 11, 21078, 520, 279, 1948, 12541, 315, 1855, 4498, 13, 2435, 52280, 13961, 75965, 477, 523, 268, 4618, 44814, 13, 578, 12745, 315, 279, 387, 2402, 3629, 83379, 449, 279, 6896, 278, 12745, 627, 12, 220, 18, 198, 9290, 279, 2673, 315, 387, 21632, 6348, 5014, 13, 2893, 21632, 6348, 5014, 1253, 4498, 1139, 3892, 2204, 11306, 11, 2737, 57863, 50561, 320, 1752, 1109, 220, 23, 15271, 16615, 705, 5410, 50561, 320, 42967, 220, 23, 323, 220, 868, 15271, 16615, 705, 29539, 11, 3973, 477, 57863, 16615, 320, 42967, 220, 845, 323, 220, 1544, 15271, 16615, 705, 323, 16615, 320, 42967, 220, 1591, 323, 220, 1987, 15271, 16615, 570, 578, 24210, 36680, 8965, 617, 9333, 92889, 1109, 279, 51009, 36680, 656, 627, 12, 220, 19, 198, 14581, 369, 387, 21632, 65042, 11012, 311, 52554, 2391, 279, 10683, 449, 832, 89858, 520, 279, 1948, 315, 1855, 1317, 19646, 13, 2893, 21632, 65042, 80105, 374, 1317, 323, 73342, 449, 11298, 6307, 12745, 627, 8161, 956, 9083, 198, 508, 315, 279, 2523, 85880, 2930, 8544, 3596, 198, 975, 86621, 15812, 1274, 3371, 304, 2930, 5029, 6732, 198, 39, 3653, 1245, 2574, 5195, 15849, 499, 2351, 4560, 311, 2778, 369, 128001, 128000, 28528, 16064, 389, 9155, 83144, 82, 3752, 11, 3495, 16064, 17240, 9155, 83144, 3752, 6492, 198, 2822, 5030, 902, 1648, 499, 1427, 520, 433, 11, 422, 499, 1456, 311, 1180, 1093, 4423, 701, 539, 11, 279, 8206, 690, 2744, 5101, 304, 279, 842, 13, 12656, 42482, 8104, 22020, 420, 4623, 304, 813, 31926, 7553, 83144, 13, 15483, 439, 279, 6237, 1405, 7553, 83144, 374, 1903, 311, 4510, 430, 568, 374, 10171, 311, 3719, 11734, 994, 2216, 568, 374, 539, 627, 13622, 1274, 617, 6612, 16390, 1603, 13, 7553, 83144, 578, 82189, 315, 9155, 83144, 323, 17240, 9155, 83144, 596, 5133, 7553, 83144, 374, 264, 1514, 2539, 315, 27394, 11, 14289, 11, 323, 31926, 13, 1115, 74810, 666, 2194, 16280, 2751, 279, 2731, 315, 5678, 439, 5246, 439, 568, 3940, 311, 4510, 304, 279, 81262, 13, 5659, 279, 2126, 1154, 304, 9232, 315, 19627, 374, 5199, 304, 279, 8736, 6237, 627, 20122, 83144, 374, 7633, 439, 330, 1347, 525, 498, 330, 838, 5485, 1, 330, 64, 1695, 323, 2653, 88, 27202, 1, 1101, 74590, 11, 28390, 323, 24219, 358, 13, 9843, 7553, 83144, 374, 11734, 11, 1243, 25234, 42503, 374, 2212, 1461, 682, 279, 892, 11, 2288, 627, 791, 2380, 81262, 527, 279, 2944, 430, 4395, 7077, 279, 1648, 279, 814, 1550, 13, 5414, 45715, 374, 279, 35279, 26784, 13, 20671, 374, 264, 312, 511, 46839, 2217, 430, 35292, 449, 55394, 9071, 21782, 5885, 11, 539, 1193, 389, 872, 6206, 11, 719, 304, 872, 20663, 627, 12, 8681, 342, 36614, 23691, 922, 294, 50156, 198, 12, 10289, 63132, 9071, 5811, 1413, 198, 12, 11848, 304, 78132, 9071, 198, 12, 27047, 389, 856, 7075, 32628, 198, 12, 18341, 9071, 4860, 198, 12, 2209, 1070, 264, 17850, 304, 264, 3495, 5684, 198, 12, 7997, 6136, 7397, 74767, 198, 12, 19690, 9071, 53944, 198, 12, 14751, 1516, 17850, 4477, 304, 5208, 198, 12, 8184, 3495, 5684, 18726, 198, 12, 7817, 315, 279, 18435, 9071, 128001, 128000, 28055, 389, 505, 13985, 753, 3446, 389, 279, 79517, 753, 28782, 430, 279, 25820, 8715, 315, 8494, 320, 49, 7209, 8, 5376, 1202, 8515, 4478, 311, 15253, 7100, 6650, 11, 502, 3495, 706, 10675, 430, 264, 8502, 315, 13673, 8384, 32331, 21515, 29809, 527, 9193, 11920, 922, 279, 5536, 264, 4754, 220, 16, 13, 20, 4, 2802, 4478, 5376, 1053, 617, 389, 872, 5845, 311, 2532, 872, 11941, 627, 791, 22835, 72, 3495, 11, 44224, 555, 13673, 16666, 22555, 11, 1398, 716, 1122, 11, 49098, 927, 220, 16, 11, 2636, 56937, 323, 1766, 430, 14992, 21515, 29809, 527, 3117, 810, 18290, 922, 264, 4478, 35331, 1109, 1023, 22540, 627, 1627, 4, 315, 97743, 320, 972, 12, 1958, 16417, 8, 323, 220, 1627, 4, 315, 9500, 1630, 320, 1758, 12, 2131, 16417, 8, 16846, 311, 279, 59159, 15398, 304, 902, 7969, 16392, 555, 220, 16, 13, 20, 4, 555, 5605, 814, 1051, 3451, 428, 54358, 11920, 529, 922, 872, 3451, 6497, 287, 5845, 311, 1304, 21515, 54438, 1392, 24535, 3296, 13168, 11, 1193, 220, 605, 4, 315, 21266, 54511, 388, 70137, 420, 2077, 627, 99729, 7690, 315, 1398, 716, 1122, 8494, 20906, 57, 11, 85252, 57493, 11, 3309, 13673, 53801, 430, 279, 3135, 527, 315, 4040, 4747, 11, 5423, 2728, 97743, 439, 264, 1912, 527, 279, 9659, 1455, 20558, 311, 636, 1139, 279, 3424, 3157, 627, 28055, 25284, 88975, 11517, 96620, 596, 2686, 520, 279, 5165, 8612, 10349, 13985, 11, 36181, 35, 44070, 258, 753, 12432, 11, 39431, 258, 46211, 285, 11, 1101, 47712, 304, 389, 279, 2802, 4478, 10205, 10430, 11, 41365, 389, 279, 5536, 8494, 13490, 1202, 48197, 6807, 10959, 1436, 617, 389, 64488, 627, 2118, 1981, 791, 25127, 315, 8494, 13490, 1202, 48197, 6807, 10959, 527, 18815, 13, 1442, 1057, 14286, 5371, 264, 1833, 10539, 91457, 1070, 374, 279, 1633, 1972, 13336, 430, 279, 13673, 29939, 1053, 2733, 279, 6784, 505, 5190, 21515, 7194, 2476, 568, 1071, 627, 1313, 4, 315, 24367, 816, 34281, 1071, 814, 617, 1027, 12153, 311, 1304, 264, 21515, 71118, 304, 279, 1566, 220, 717, 4038, 11, 902, 374, 11157, 439, 1690, 439, 279, 8244, 3157, 5578, 315, 220, 806, 126437, 9673, 14955, 13519, 430, 1690, 14992, 56937, 527, 25051, 5199, 6020, 8631, 11, 323, 430, 814, 527, 53675, 1314, 709, 311, 872, 4017, 304, 2015, 311, 636, 1139, 279, 3424, 3157, 11, 902, 1253, 923, 10633, 311, 279, 4027, 315, 279, 14529, 13673, 11983, 79010, 11249, 13, 128001, 128000, 791, 1566, 9974, 1934, 374, 30105, 220, 1591, 14, 605, 14, 2366, 16, 28836, 24317, 9725, 2485, 1129, 300, 437, 12, 9748, 4370, 1355, 18, 516, 18, 36103, 38702, 12, 17, 29871, 916, 34320, 14, 20360, 21, 14, 19162, 22, 14, 25192, 20, 14, 1950, 3204, 1106, 17704, 1596, 7521, 940, 77528, 62, 2366, 16, 16378, 8, 779, 1070, 4762, 4536, 956, 2500, 4245, 704, 369, 2500, 5743, 315, 5672, 382, 3947, 596, 264, 5224, 389, 872, 3997, 4756, 3432, 9002, 60796, 9151, 872, 27460, 482, 510, 24317, 9725, 2485, 1129, 300, 437, 12, 9748, 4370, 1355, 18, 516, 18, 36103, 38702, 12, 17, 29871, 916, 34320, 14, 18495, 21, 14, 23654, 18, 14, 20899, 24, 14, 8806, 5791, 29128, 3204, 6451, 66, 16378, 696, 3112, 1070, 596, 264, 10017, 1650, 389, 279, 220, 777, 61, 339, 430, 499, 649, 9020, 311, 11, 9002, 13321, 3135, 369, 279, 1060, 9670, 220, 2148, 6287, 220, 2366, 17, 13, 3788, 1129, 2185, 5470, 437, 501, 66, 916, 18480, 7164, 269, 48712, 811, 8851, 2028, 3952, 220, 20, 4520, 482, 1948, 11819, 4295, 369, 330, 1950, 3204, 13166, 1, 128001 ]
[ -100, 32052, 690, 6725, 66437, 4339, 555, 5403, 323, 4477, 4339, 304, 264, 5016, 11, 2523, 1648, 4999, 40, 617, 1511, 1521, 6959, 304, 856, 14254, 3492, 4219, 369, 5066, 6725, 449, 14254, 4339, 7914, 16685, 1093, 311, 7102, 1855, 1023, 311, 1518, 1148, 2872, 690, 5266, 709, 1176, 4999, 4959, 2199, 706, 220, 21, 4339, 430, 5398, 449, 279, 5075, 12, 3617, 3212, 423, 1971, 2198, 328, 4735, 28730, 16853, 7009, 527, 1695, 5066, 6725, 323, 5255, 3477, 369, 20558, 220, 17, 303, 612, 220, 18, 6634, 6117, 388, 439, 1664, 13, 578, 1888, 961, 374, 279, 3645, 1587, 539, 2349, 13, 20783, 690, 1440, 7041, 1148, 311, 656, 13, 2360, 1205, 311, 8493, 892, 26073, 279, 37736, 4999, 40, 6118, 617, 4236, 1005, 264, 2466, 32183, 2815, 369, 1521, 68625, 323, 814, 11112, 3021, 1701, 1124, 4999, 4808, 12, 88125, 66437, 28730, 47064, 512, 29923, 810, 11, 5644, 311, 733, 11, 9506, 5664, 5955, 68625, 430, 5398, 449, 1176, 12239, 43529, 5718, 5380, 54467, 13255, 61112, 83731, 2638, 1844, 2445, 2453, 9894, 28730, 83731, 2638, 26484, 7365, 83731, 2638, 1668, 11, 28262, 612, 8377, 3165, 6427, 28730, 33455, 11, 4557, 612, 9842, 0, 77279, 128001, -100, 10407, 388, 527, 3697, 315, 279, 4783, 315, 57148, 627, 43, 2311, 4498, 1139, 832, 315, 2380, 5315, 482, 279, 57148, 20539, 10020, 11, 279, 57148, 63849, 323, 279, 57148, 315, 62006, 320, 39166, 57148, 4390, 10407, 388, 527, 32654, 6316, 2258, 3697, 315, 20302, 320, 5901, 8, 719, 420, 4751, 374, 1511, 24121, 311, 7664, 279, 16689, 3697, 315, 279, 4783, 315, 26667, 627, 2170, 264, 1121, 315, 31343, 311, 279, 4783, 315, 57148, 11, 682, 26081, 1457, 2503, 304, 279, 4783, 555, 35460, 315, 264, 2324, 14734, 425, 627, 2028, 5764, 279, 220, 6083, 1077, 95454, 26081, 889, 1051, 5535, 311, 14389, 872, 16250, 994, 279, 4783, 315, 57148, 3298, 220, 2550, 24, 62765, 279, 1314, 315, 279, 1023, 220, 13655, 1077, 95454, 26081, 311, 2503, 304, 279, 8582, 25199, 627, 791, 57148, 63849, 2503, 555, 35460, 315, 872, 2361, 304, 279, 9441, 315, 9635, 323, 539, 439, 26081, 304, 872, 1866, 1314, 627, 39166, 57148, 527, 6118, 10195, 24958, 889, 617, 1027, 2728, 2324, 14734, 1154, 779, 430, 814, 649, 6920, 704, 279, 31752, 990, 315, 279, 4783, 315, 57148, 627, 4071, 439, 315, 6664, 220, 1049, 24, 11, 279, 7658, 57148, 690, 9229, 872, 1314, 311, 2503, 304, 279, 4783, 315, 57148, 994, 264, 44222, 5590, 690, 387, 9749, 902, 690, 387, 9678, 315, 20302, 13, 128001, -100, 791, 1239, 278, 64543, 315, 387, 21632, 6348, 5014, 304, 264, 40798, 7982, 3158, 35730, 311, 1690, 13863, 388, 13, 16528, 304, 264, 8205, 315, 2204, 27230, 11, 387, 21632, 6348, 5014, 3493, 6366, 92889, 304, 3389, 10683, 311, 57681, 264, 23153, 4950, 13, 1398, 20588, 65042, 92889, 15884, 311, 10765, 264, 387, 21632, 65042, 13, 578, 387, 21632, 65042, 8205, 15662, 1202, 836, 11, 6376, 433, 10980, 505, 1023, 65042, 36680, 304, 264, 3361, 1648, 627, 12, 28582, 2237, 512, 12, 44527, 2718, 19122, 198, 11663, 9029, 8886, 18242, 198, 56391, 198, 12, 220, 16, 198, 849, 20588, 279, 65042, 92889, 13, 66821, 92889, 682, 617, 4848, 96740, 449, 279, 1890, 6913, 10886, 323, 17503, 13, 578, 10886, 527, 279, 2380, 96740, 430, 10205, 49685, 389, 279, 89858, 13, 578, 17503, 527, 279, 2380, 96740, 430, 15020, 2212, 279, 13116, 315, 279, 89858, 627, 12, 220, 17, 198, 10596, 369, 279, 1401, 29683, 430, 36611, 323, 7437, 387, 21632, 6348, 5014, 10980, 505, 1023, 65042, 36680, 13, 2893, 21632, 6348, 5014, 617, 264, 53833, 2697, 330, 1395, 569, 1, 81458, 51867, 505, 279, 12541, 315, 279, 50823, 7085, 11, 21078, 520, 279, 1948, 12541, 315, 1855, 4498, 13, 2435, 52280, 13961, 75965, 477, 523, 268, 4618, 44814, 13, 578, 12745, 315, 279, 387, 2402, 3629, 83379, 449, 279, 6896, 278, 12745, 627, 12, 220, 18, 198, 9290, 279, 2673, 315, 387, 21632, 6348, 5014, 13, 2893, 21632, 6348, 5014, 1253, 4498, 1139, 3892, 2204, 11306, 11, 2737, 57863, 50561, 320, 1752, 1109, 220, 23, 15271, 16615, 705, 5410, 50561, 320, 42967, 220, 23, 323, 220, 868, 15271, 16615, 705, 29539, 11, 3973, 477, 57863, 16615, 320, 42967, 220, 845, 323, 220, 1544, 15271, 16615, 705, 323, 16615, 320, 42967, 220, 1591, 323, 220, 1987, 15271, 16615, 570, 578, 24210, 36680, 8965, 617, 9333, 92889, 1109, 279, 51009, 36680, 656, 627, 12, 220, 19, 198, 14581, 369, 387, 21632, 65042, 11012, 311, 52554, 2391, 279, 10683, 449, 832, 89858, 520, 279, 1948, 315, 1855, 1317, 19646, 13, 2893, 21632, 65042, 80105, 374, 1317, 323, 73342, 449, 11298, 6307, 12745, 627, 8161, 956, 9083, 198, 508, 315, 279, 2523, 85880, 2930, 8544, 3596, 198, 975, 86621, 15812, 1274, 3371, 304, 2930, 5029, 6732, 198, 39, 3653, 1245, 2574, 5195, 15849, 499, 2351, 4560, 311, 2778, 369, 128001, -100, 28528, 16064, 389, 9155, 83144, 82, 3752, 11, 3495, 16064, 17240, 9155, 83144, 3752, 6492, 198, 2822, 5030, 902, 1648, 499, 1427, 520, 433, 11, 422, 499, 1456, 311, 1180, 1093, 4423, 701, 539, 11, 279, 8206, 690, 2744, 5101, 304, 279, 842, 13, 12656, 42482, 8104, 22020, 420, 4623, 304, 813, 31926, 7553, 83144, 13, 15483, 439, 279, 6237, 1405, 7553, 83144, 374, 1903, 311, 4510, 430, 568, 374, 10171, 311, 3719, 11734, 994, 2216, 568, 374, 539, 627, 13622, 1274, 617, 6612, 16390, 1603, 13, 7553, 83144, 578, 82189, 315, 9155, 83144, 323, 17240, 9155, 83144, 596, 5133, 7553, 83144, 374, 264, 1514, 2539, 315, 27394, 11, 14289, 11, 323, 31926, 13, 1115, 74810, 666, 2194, 16280, 2751, 279, 2731, 315, 5678, 439, 5246, 439, 568, 3940, 311, 4510, 304, 279, 81262, 13, 5659, 279, 2126, 1154, 304, 9232, 315, 19627, 374, 5199, 304, 279, 8736, 6237, 627, 20122, 83144, 374, 7633, 439, 330, 1347, 525, 498, 330, 838, 5485, 1, 330, 64, 1695, 323, 2653, 88, 27202, 1, 1101, 74590, 11, 28390, 323, 24219, 358, 13, 9843, 7553, 83144, 374, 11734, 11, 1243, 25234, 42503, 374, 2212, 1461, 682, 279, 892, 11, 2288, 627, 791, 2380, 81262, 527, 279, 2944, 430, 4395, 7077, 279, 1648, 279, 814, 1550, 13, 5414, 45715, 374, 279, 35279, 26784, 13, 20671, 374, 264, 312, 511, 46839, 2217, 430, 35292, 449, 55394, 9071, 21782, 5885, 11, 539, 1193, 389, 872, 6206, 11, 719, 304, 872, 20663, 627, 12, 8681, 342, 36614, 23691, 922, 294, 50156, 198, 12, 10289, 63132, 9071, 5811, 1413, 198, 12, 11848, 304, 78132, 9071, 198, 12, 27047, 389, 856, 7075, 32628, 198, 12, 18341, 9071, 4860, 198, 12, 2209, 1070, 264, 17850, 304, 264, 3495, 5684, 198, 12, 7997, 6136, 7397, 74767, 198, 12, 19690, 9071, 53944, 198, 12, 14751, 1516, 17850, 4477, 304, 5208, 198, 12, 8184, 3495, 5684, 18726, 198, 12, 7817, 315, 279, 18435, 9071, 128001, -100, 28055, 389, 505, 13985, 753, 3446, 389, 279, 79517, 753, 28782, 430, 279, 25820, 8715, 315, 8494, 320, 49, 7209, 8, 5376, 1202, 8515, 4478, 311, 15253, 7100, 6650, 11, 502, 3495, 706, 10675, 430, 264, 8502, 315, 13673, 8384, 32331, 21515, 29809, 527, 9193, 11920, 922, 279, 5536, 264, 4754, 220, 16, 13, 20, 4, 2802, 4478, 5376, 1053, 617, 389, 872, 5845, 311, 2532, 872, 11941, 627, 791, 22835, 72, 3495, 11, 44224, 555, 13673, 16666, 22555, 11, 1398, 716, 1122, 11, 49098, 927, 220, 16, 11, 2636, 56937, 323, 1766, 430, 14992, 21515, 29809, 527, 3117, 810, 18290, 922, 264, 4478, 35331, 1109, 1023, 22540, 627, 1627, 4, 315, 97743, 320, 972, 12, 1958, 16417, 8, 323, 220, 1627, 4, 315, 9500, 1630, 320, 1758, 12, 2131, 16417, 8, 16846, 311, 279, 59159, 15398, 304, 902, 7969, 16392, 555, 220, 16, 13, 20, 4, 555, 5605, 814, 1051, 3451, 428, 54358, 11920, 529, 922, 872, 3451, 6497, 287, 5845, 311, 1304, 21515, 54438, 1392, 24535, 3296, 13168, 11, 1193, 220, 605, 4, 315, 21266, 54511, 388, 70137, 420, 2077, 627, 99729, 7690, 315, 1398, 716, 1122, 8494, 20906, 57, 11, 85252, 57493, 11, 3309, 13673, 53801, 430, 279, 3135, 527, 315, 4040, 4747, 11, 5423, 2728, 97743, 439, 264, 1912, 527, 279, 9659, 1455, 20558, 311, 636, 1139, 279, 3424, 3157, 627, 28055, 25284, 88975, 11517, 96620, 596, 2686, 520, 279, 5165, 8612, 10349, 13985, 11, 36181, 35, 44070, 258, 753, 12432, 11, 39431, 258, 46211, 285, 11, 1101, 47712, 304, 389, 279, 2802, 4478, 10205, 10430, 11, 41365, 389, 279, 5536, 8494, 13490, 1202, 48197, 6807, 10959, 1436, 617, 389, 64488, 627, 2118, 1981, 791, 25127, 315, 8494, 13490, 1202, 48197, 6807, 10959, 527, 18815, 13, 1442, 1057, 14286, 5371, 264, 1833, 10539, 91457, 1070, 374, 279, 1633, 1972, 13336, 430, 279, 13673, 29939, 1053, 2733, 279, 6784, 505, 5190, 21515, 7194, 2476, 568, 1071, 627, 1313, 4, 315, 24367, 816, 34281, 1071, 814, 617, 1027, 12153, 311, 1304, 264, 21515, 71118, 304, 279, 1566, 220, 717, 4038, 11, 902, 374, 11157, 439, 1690, 439, 279, 8244, 3157, 5578, 315, 220, 806, 126437, 9673, 14955, 13519, 430, 1690, 14992, 56937, 527, 25051, 5199, 6020, 8631, 11, 323, 430, 814, 527, 53675, 1314, 709, 311, 872, 4017, 304, 2015, 311, 636, 1139, 279, 3424, 3157, 11, 902, 1253, 923, 10633, 311, 279, 4027, 315, 279, 14529, 13673, 11983, 79010, 11249, 13, 128001, -100, 791, 1566, 9974, 1934, 374, 30105, 220, 1591, 14, 605, 14, 2366, 16, 28836, 24317, 9725, 2485, 1129, 300, 437, 12, 9748, 4370, 1355, 18, 516, 18, 36103, 38702, 12, 17, 29871, 916, 34320, 14, 20360, 21, 14, 19162, 22, 14, 25192, 20, 14, 1950, 3204, 1106, 17704, 1596, 7521, 940, 77528, 62, 2366, 16, 16378, 8, 779, 1070, 4762, 4536, 956, 2500, 4245, 704, 369, 2500, 5743, 315, 5672, 382, 3947, 596, 264, 5224, 389, 872, 3997, 4756, 3432, 9002, 60796, 9151, 872, 27460, 482, 510, 24317, 9725, 2485, 1129, 300, 437, 12, 9748, 4370, 1355, 18, 516, 18, 36103, 38702, 12, 17, 29871, 916, 34320, 14, 18495, 21, 14, 23654, 18, 14, 20899, 24, 14, 8806, 5791, 29128, 3204, 6451, 66, 16378, 696, 3112, 1070, 596, 264, 10017, 1650, 389, 279, 220, 777, 61, 339, 430, 499, 649, 9020, 311, 11, 9002, 13321, 3135, 369, 279, 1060, 9670, 220, 2148, 6287, 220, 2366, 17, 13, 3788, 1129, 2185, 5470, 437, 501, 66, 916, 18480, 7164, 269, 48712, 811, 8851, 2028, 3952, 220, 20, 4520, 482, 1948, 11819, 4295, 369, 330, 1950, 3204, 13166, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 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, 24762, 1268, 311, 2019, 452, 2070, 12722, 304, 6498, 449, 420, 22237, 71722, 2835, 627, 46, 23382, 11240, 7419, 315, 279, 3492, 308, 2070, 512, 18109, 708, 308, 2070, 315, 279, 14, 606, 753, 13272, 340, 1820, 1203, 315, 264, 1732, 753, 13272, 512, 1964, 7013, 574, 1080, 2230, 2486, 554, 398, 520, 279, 308, 2070, 315, 1077, 13272, 198, 45035, 6498, 25, 315, 9987, 6371, 128001, 128000, 72, 1390, 311, 2713, 856, 18874, 1174, 902, 315, 1521, 13761, 1288, 602, 656, 1174, 602, 1541, 956, 1390, 311, 2713, 279, 4459, 13761, 85920, 433, 690, 1935, 453, 1295, 315, 892, 22666, 198, 5966, 19685, 555, 1167, 73, 269, 1049, 15, 26, 220, 2705, 12, 1682, 12, 679, 24, 520, 220, 2589, 25, 1806, 6912, 627, 697, 67120, 5424, 3287, 956, 5155, 856, 21210, 1206, 1201, 627, 3473, 577, 4284, 539, 3815, 433, 9602, 5380, 72, 4024, 311, 264, 8221, 323, 814, 6177, 469, 16929, 612, 423, 7614, 1174, 527, 1884, 279, 1193, 13761, 311, 2713, 369, 18874, 18072, 2822, 375, 11, 1120, 13122, 856, 3217, 449, 279, 779, 2663, 330, 37751, 5155, 702, 41551, 603, 422, 433, 27635, 279, 3575, 627, 7131, 279, 3575, 636, 8521, 5380, 128001, 128000, 4599, 433, 4131, 311, 27890, 323, 88861, 4731, 11, 1057, 37637, 6225, 13757, 649, 387, 282, 26688, 13, 3639, 10578, 1314, 311, 603, 832, 1938, 2643, 539, 2873, 1314, 279, 1828, 1938, 11, 477, 994, 34793, 311, 520, 2204, 27378, 11, 477, 1555, 2204, 37577, 11, 477, 304, 2204, 14624, 22484, 13, 5751, 21063, 315, 72436, 29600, 11, 2737, 42045, 39954, 323, 8244, 21261, 11, 527, 28160, 555, 264, 1396, 315, 7482, 13, 1666, 4382, 439, 433, 10578, 11, 8891, 8286, 374, 832, 315, 279, 1925, 7482, 430, 584, 649, 2585, 311, 1520, 603, 11322, 29237, 304, 1057, 63526, 13, 3861, 315, 1057, 1925, 9021, 1418, 27890, 323, 88861, 374, 311, 11322, 264, 3738, 3392, 315, 18273, 5536, 477, 8430, 11, 902, 584, 1650, 17813, 2136, 627, 8142, 8286, 16964, 279, 5150, 5222, 7410, 2237, 320, 42055, 65800, 8, 304, 264, 3130, 11, 17813, 2136, 649, 387, 3463, 315, 439, 1268, 19428, 11, 29050, 11, 8147, 477, 1054, 53278, 863, 279, 5222, 11321, 311, 499, 13, 1789, 3187, 11, 264, 14975, 315, 459, 25176, 6476, 1203, 520, 264, 3428, 8286, 2103, 10578, 1093, 264, 1054, 53278, 863, 5222, 311, 1057, 8271, 11, 1418, 264, 12715, 35955, 6476, 1203, 520, 264, 1579, 8286, 2103, 11321, 1093, 264, 8579, 5222, 13, 11995, 8286, 323, 17813, 2136, 527, 3062, 38864, 323, 2391, 27890, 323, 88861, 11, 1405, 1057, 2683, 374, 311, 1893, 279, 8475, 21261, 11, 477, 17813, 2136, 11, 315, 279, 4731, 13, 43987, 2101, 264, 13263, 11, 477, 86085, 11, 14624, 8286, 8779, 603, 7293, 10968, 323, 13263, 994, 3339, 34074, 323, 11429, 430, 7958, 279, 17813, 2136, 315, 1057, 2447, 627, 3957, 24423, 20880, 44921, 6104, 1226, 19771, 5380, 1688, 2204, 33059, 8286, 5990, 1057, 35202, 45493, 279, 17813, 2136, 315, 2204, 34873, 61437, 398, 13, 1789, 2937, 11, 994, 16967, 520, 3428, 27378, 11, 1057, 25212, 323, 8271, 5357, 810, 389, 279, 5209, 9866, 1418, 279, 3428, 323, 1579, 34873, 527, 539, 26617, 449, 279, 1890, 25679, 13, 2468, 5190, 14624, 27378, 11, 279, 3428, 323, 1579, 34873, 5101, 810, 21102, 1418, 279, 5209, 9866, 34873, 3290, 2753, 315, 1057, 264, 4269, 6666, 13, 3075, 3210, 11, 323, 304, 3878, 315, 22027, 11, 279, 5150, 11900, 8335, 27656, 279, 1890, 520, 682, 8286, 5990, 11, 719, 279, 3823, 8271, 753, 23692, 315, 279, 11900, 8335, 4442, 627, 644, 279, 220, 7285, 15, 753, 1403, 45166, 12074, 11, 7086, 34422, 69168, 323, 13944, 268, 28982, 942, 11, 20041, 279, 25885, 315, 3823, 21063, 315, 34873, 6296, 13, 17813, 2136, 13, 2435, 8040, 264, 17813, 2136, 42533, 11, 2663, 279, 69168, 5364, 359, 942, 54777, 320, 915, 13, 220, 16, 705, 902, 15151, 279, 8286, 320, 42055, 65800, 8, 5990, 4028, 279, 11900, 20326, 5995, 369, 279, 11700, 311, 45493, 264, 6926, 17813, 2136, 2237, 994, 10666, 449, 10748, 24981, 43076, 13, 1115, 22702, 574, 38291, 304, 220, 6280, 21, 323, 374, 1457, 1511, 439, 279, 22705, 220, 14057, 5410, 369, 39574, 80648, 2136, 9580, 2140, 2530, 627, 22818, 430, 584, 45493, 279, 20955, 315, 34873, 22009, 520, 5370, 8286, 5990, 11, 1268, 17813, 1288, 584, 8891, 994, 584, 527, 27890, 477, 88861, 30, 5659, 279, 69168, 5364, 359, 942, 54777, 4876, 320, 915, 13, 220, 16, 705, 584, 1518, 430, 264, 16967, 2237, 315, 220, 5313, 44868, 65800, 320, 258, 264, 3544, 3130, 8, 5825, 279, 52139, 478, 11011, 16029, 13, 1442, 499, 527, 3318, 304, 264, 9333, 3634, 11, 1093, 264, 14595, 14150, 14356, 11, 279, 10269, 2077, 374, 4762, 12401, 311, 220, 4643, 44868, 65800, 13, 4800, 430, 584, 527, 8010, 430, 1057, 27541, 311, 22253, 323, 4353, 901, 34873, 9221, 810, 10269, 439, 8286, 12992, 11, 584, 649, 24499, 430, 16967, 2288, 57150, 690, 5353, 603, 311, 1390, 311, 5376, 279, 22253, 323, 4353, 901, 2262, 315, 1057, 63526, 320, 28753, 520, 3428, 27378, 279, 5209, 9866, 374, 1455, 21102, 323, 22253, 323, 4353, 901, 2873, 2288, 3428, 4390, 8140, 5915, 374, 311, 1505, 264, 57042, 11, 477, 86085, 11, 16967, 2237, 902, 10578, 1664, 24770, 304, 701, 14624, 4676, 13, 2057, 1652, 44192, 701, 16967, 2237, 11, 499, 690, 1205, 3060, 264, 3241, 477, 12035, 65800, 23819, 13, 358, 1005, 459, 12443, 917, 2663, 65800, 77, 87514, 51623, 53639, 11, 719, 499, 1436, 1101, 1005, 264, 12514, 65800, 23819, 11, 1093, 279, 650, 6853, 1543, 24291, 23819, 477, 279, 1398, 18261, 7528, 23819, 627, 3563, 555, 12967, 701, 8891, 5990, 1523, 369, 1457, 4235, 906, 690, 743, 8891, 8286, 439, 279, 1620, 6566, 315, 279, 8244, 34074, 13, 2638, 709, 264, 8450, 14143, 9183, 304, 701, 423, 14757, 311, 2612, 18718, 12248, 520, 482, 508, 44868, 8653, 323, 10356, 430, 2237, 389, 279, 7491, 282, 1013, 2612, 23819, 13, 1442, 499, 1005, 264, 39052, 8450, 11, 2567, 701, 2612, 281, 6073, 520, 220, 1041, 4, 445, 19945, 11, 719, 422, 499, 1005, 264, 40774, 8450, 14143, 11, 1304, 2771, 311, 4219, 279, 7363, 59672, 627, 2746, 499, 617, 264, 3241, 2585, 7090, 11, 1093, 549, 1846, 753, 5390, 3851, 11, 499, 649, 2033, 1817, 430, 279, 2237, 19261, 279, 12035, 374, 9204, 439, 482, 508, 3000, 13, 9843, 420, 374, 9749, 11, 743, 279, 2612, 8895, 315, 701, 7855, 3834, 682, 279, 1648, 709, 520, 220, 15, 44868, 627, 1687, 11383, 5905, 482, 508, 44868, 8653, 369, 7528, 5990, 1606, 430, 2237, 9248, 279, 24291, 1917, 753, 2010, 3039, 10886, 11, 1405, 482, 508, 44868, 8653, 374, 17715, 6273, 311, 489, 19, 42055, 84, 477, 220, 15, 53, 52, 13, 510, 9290, 430, 482, 508, 42055, 8653, 284, 489, 19, 42055, 84, 374, 279, 93900, 2505, 10576, 1600, 5410, 11, 719, 1322, 14173, 323, 279, 18588, 1670, 311, 482, 972, 44868, 8653, 284, 489, 19, 42055, 84, 11, 279, 469, 15275, 5410, 13, 22395, 88861, 42795, 482, 975, 42055, 8653, 284, 489, 19, 42055, 84, 374, 1101, 4279, 25750, 2520, 13312, 552, 90578, 57022, 701, 65800, 23819, 477, 7195, 701, 65800, 917, 323, 2361, 433, 304, 701, 14624, 2361, 11, 1405, 701, 2010, 1053, 6118, 387, 11, 449, 279, 43495, 22364, 709, 13, 1442, 279, 917, 477, 65800, 23819, 6835, 499, 279, 3072, 11, 3373, 279, 356, 90039, 5569, 323, 6435, 2077, 892, 11, 439, 1521, 527, 279, 1455, 13687, 5110, 369, 420, 955, 315, 19179, 13, 11233, 279, 18718, 12248, 311, 832, 19114, 323, 14297, 4546, 709, 701, 8891, 8286, 3156, 279, 65800, 23819, 374, 39829, 220, 6086, 44868, 65800, 13, 11233, 279, 8450, 311, 279, 1023, 19114, 323, 10356, 430, 499, 617, 279, 1890, 220, 6086, 44868, 5403, 320, 1752, 1109, 20903, 662, 20, 44868, 1990, 279, 2163, 323, 1314, 22032, 374, 3345, 3403, 570, 3277, 499, 7363, 279, 18718, 12248, 1203, 311, 279, 4219, 499, 690, 5406, 279, 23819, 690, 1457, 1373, 220, 5313, 42055, 11, 902, 374, 264, 220, 18, 44868, 5376, 1606, 2225, 22032, 527, 5737, 13, 1472, 1288, 1101, 5406, 10968, 4219, 2217, 11, 902, 690, 7838, 430, 701, 22032, 527, 304, 76790, 449, 1855, 1023, 13, 1789, 27890, 477, 88861, 2477, 4731, 11, 459, 220, 5313, 44868, 33059, 2237, 1253, 2733, 2288, 17813, 11, 779, 433, 374, 4279, 311, 1373, 4345, 420, 2237, 1523, 311, 220, 4643, 44868, 13, 1115, 2237, 320, 4643, 477, 220, 5313, 44868, 8, 374, 1457, 701, 86085, 8891, 2237, 13, 1952, 8891, 27319, 449, 264, 7528, 1373, 412, 433, 374, 4228, 311, 3637, 323, 19635, 420, 24473, 6376, 11, 6062, 499, 1253, 1390, 311, 2035, 264, 1906, 389, 701, 8891, 6597, 311, 13519, 420, 33059, 2237, 627, 2409, 701, 8891, 2237, 743, 323, 2225, 22032, 18545, 11, 499, 649, 1457, 6651, 11, 16913, 430, 499, 527, 3318, 520, 459, 23669, 323, 13263, 2237, 13, 9393, 315, 279, 39574, 80648, 2136, 25885, 11, 433, 374, 16595, 311, 2567, 701, 16967, 2237, 13263, 994, 27890, 13, 5046, 3388, 499, 690, 1505, 433, 5505, 311, 23781, 8891, 520, 90845, 5990, 311, 10356, 430, 279, 3062, 5540, 315, 279, 6651, 7293, 80415, 1524, 520, 3428, 5990, 13, 9176, 7855, 25066, 323, 8891, 27319, 617, 459, 37030, 51959, 734, 11, 902, 6276, 499, 311, 3577, 264, 3215, 323, 6068, 279, 8891, 8286, 555, 264, 44021, 3392, 13, 51959, 374, 5505, 369, 13598, 39954, 520, 264, 4827, 14624, 2237, 323, 1101, 5042, 311, 2187, 499, 311, 617, 264, 11594, 10652, 1418, 279, 4731, 374, 5737, 13, 15958, 287, 1022, 51959, 690, 22571, 743, 701, 37577, 1203, 311, 701, 86085, 16967, 2237, 627, 2746, 499, 15870, 6651, 477, 7491, 389, 44101, 11, 2237, 38711, 374, 539, 439, 31439, 13, 1226, 649, 1431, 6847, 6767, 279, 65800, 2237, 315, 1057, 44101, 11, 779, 584, 2011, 17631, 389, 1057, 18273, 6225, 13757, 13, 1789, 77501, 38711, 11, 358, 4284, 499, 9020, 311, 1664, 52003, 291, 5905, 11936, 520, 5370, 5990, 3156, 499, 2733, 430, 499, 617, 1766, 264, 2237, 430, 5825, 279, 6300, 8430, 315, 5536, 11, 21261, 323, 264, 2539, 31608, 11900, 2077, 13, 5112, 11, 1456, 311, 1906, 701, 77501, 8891, 2237, 2585, 520, 420, 86085, 2237, 13, 1666, 449, 8891, 22032, 11, 279, 810, 13263, 499, 527, 449, 701, 14624, 2237, 11, 279, 810, 13263, 701, 63526, 323, 36467, 690, 2543, 704, 627, 1271, 743, 701, 54767, 8891, 2237, 369, 27890, 11, 1179, 1063, 5905, 14242, 430, 617, 1027, 71325, 323, 4827, 872, 33059, 2237, 304, 701, 423, 14757, 555, 220, 21, 311, 220, 23, 44868, 323, 9020, 311, 433, 520, 701, 86085, 2237, 13, 5112, 1304, 2678, 320, 17, 477, 220, 18, 44868, 8, 2237, 34074, 311, 1505, 701, 54767, 86085, 14624, 2237, 13, 3296, 46301, 279, 2237, 315, 71325, 14242, 555, 220, 21, 477, 220, 23, 44868, 499, 649, 810, 14470, 9616, 701, 653, 13943, 291, 6651, 311, 71325, 5905, 11936, 627, 1271, 743, 701, 54767, 88861, 8891, 2237, 11, 1179, 1063, 5905, 14242, 430, 617, 1027, 71325, 323, 9020, 311, 1124, 520, 701, 86085, 2237, 13, 5112, 1304, 2678, 320, 17, 477, 220, 18, 44868, 8, 2237, 34074, 311, 1505, 701, 54767, 86085, 88861, 2237, 13, 4800, 499, 649, 78076, 9616, 701, 36467, 311, 8518, 5905, 36467, 369, 872, 17813, 2136, 11, 5536, 323, 8430, 2085, 39661, 389, 2237, 20645, 627, 9027, 10892, 1113, 701, 3130, 369, 17813, 2136, 374, 459, 7718, 3094, 7119, 13263, 27890, 323, 88861, 13, 3400, 10892, 1113, 701, 37577, 369, 264, 10269, 11900, 2077, 374, 18813, 3062, 323, 7526, 1093, 12103, 277, 19033, 17650, 220, 19, 1893, 279, 54767, 40094, 16029, 369, 701, 37577, 304, 701, 14624, 4676, 13, 3400, 10892, 1113, 701, 37577, 369, 6300, 17813, 2136, 323, 11900, 2077, 11, 9711, 499, 1664, 389, 701, 1648, 311, 6968, 6721, 49227, 11, 15022, 63526, 323, 36467, 13, 128001 ]
[ -100, 24762, 1268, 311, 2019, 452, 2070, 12722, 304, 6498, 449, 420, 22237, 71722, 2835, 627, 46, 23382, 11240, 7419, 315, 279, 3492, 308, 2070, 512, 18109, 708, 308, 2070, 315, 279, 14, 606, 753, 13272, 340, 1820, 1203, 315, 264, 1732, 753, 13272, 512, 1964, 7013, 574, 1080, 2230, 2486, 554, 398, 520, 279, 308, 2070, 315, 1077, 13272, 198, 45035, 6498, 25, 315, 9987, 6371, 128001, -100, 72, 1390, 311, 2713, 856, 18874, 1174, 902, 315, 1521, 13761, 1288, 602, 656, 1174, 602, 1541, 956, 1390, 311, 2713, 279, 4459, 13761, 85920, 433, 690, 1935, 453, 1295, 315, 892, 22666, 198, 5966, 19685, 555, 1167, 73, 269, 1049, 15, 26, 220, 2705, 12, 1682, 12, 679, 24, 520, 220, 2589, 25, 1806, 6912, 627, 697, 67120, 5424, 3287, 956, 5155, 856, 21210, 1206, 1201, 627, 3473, 577, 4284, 539, 3815, 433, 9602, 5380, 72, 4024, 311, 264, 8221, 323, 814, 6177, 469, 16929, 612, 423, 7614, 1174, 527, 1884, 279, 1193, 13761, 311, 2713, 369, 18874, 18072, 2822, 375, 11, 1120, 13122, 856, 3217, 449, 279, 779, 2663, 330, 37751, 5155, 702, 41551, 603, 422, 433, 27635, 279, 3575, 627, 7131, 279, 3575, 636, 8521, 5380, 128001, -100, 4599, 433, 4131, 311, 27890, 323, 88861, 4731, 11, 1057, 37637, 6225, 13757, 649, 387, 282, 26688, 13, 3639, 10578, 1314, 311, 603, 832, 1938, 2643, 539, 2873, 1314, 279, 1828, 1938, 11, 477, 994, 34793, 311, 520, 2204, 27378, 11, 477, 1555, 2204, 37577, 11, 477, 304, 2204, 14624, 22484, 13, 5751, 21063, 315, 72436, 29600, 11, 2737, 42045, 39954, 323, 8244, 21261, 11, 527, 28160, 555, 264, 1396, 315, 7482, 13, 1666, 4382, 439, 433, 10578, 11, 8891, 8286, 374, 832, 315, 279, 1925, 7482, 430, 584, 649, 2585, 311, 1520, 603, 11322, 29237, 304, 1057, 63526, 13, 3861, 315, 1057, 1925, 9021, 1418, 27890, 323, 88861, 374, 311, 11322, 264, 3738, 3392, 315, 18273, 5536, 477, 8430, 11, 902, 584, 1650, 17813, 2136, 627, 8142, 8286, 16964, 279, 5150, 5222, 7410, 2237, 320, 42055, 65800, 8, 304, 264, 3130, 11, 17813, 2136, 649, 387, 3463, 315, 439, 1268, 19428, 11, 29050, 11, 8147, 477, 1054, 53278, 863, 279, 5222, 11321, 311, 499, 13, 1789, 3187, 11, 264, 14975, 315, 459, 25176, 6476, 1203, 520, 264, 3428, 8286, 2103, 10578, 1093, 264, 1054, 53278, 863, 5222, 311, 1057, 8271, 11, 1418, 264, 12715, 35955, 6476, 1203, 520, 264, 1579, 8286, 2103, 11321, 1093, 264, 8579, 5222, 13, 11995, 8286, 323, 17813, 2136, 527, 3062, 38864, 323, 2391, 27890, 323, 88861, 11, 1405, 1057, 2683, 374, 311, 1893, 279, 8475, 21261, 11, 477, 17813, 2136, 11, 315, 279, 4731, 13, 43987, 2101, 264, 13263, 11, 477, 86085, 11, 14624, 8286, 8779, 603, 7293, 10968, 323, 13263, 994, 3339, 34074, 323, 11429, 430, 7958, 279, 17813, 2136, 315, 1057, 2447, 627, 3957, 24423, 20880, 44921, 6104, 1226, 19771, 5380, 1688, 2204, 33059, 8286, 5990, 1057, 35202, 45493, 279, 17813, 2136, 315, 2204, 34873, 61437, 398, 13, 1789, 2937, 11, 994, 16967, 520, 3428, 27378, 11, 1057, 25212, 323, 8271, 5357, 810, 389, 279, 5209, 9866, 1418, 279, 3428, 323, 1579, 34873, 527, 539, 26617, 449, 279, 1890, 25679, 13, 2468, 5190, 14624, 27378, 11, 279, 3428, 323, 1579, 34873, 5101, 810, 21102, 1418, 279, 5209, 9866, 34873, 3290, 2753, 315, 1057, 264, 4269, 6666, 13, 3075, 3210, 11, 323, 304, 3878, 315, 22027, 11, 279, 5150, 11900, 8335, 27656, 279, 1890, 520, 682, 8286, 5990, 11, 719, 279, 3823, 8271, 753, 23692, 315, 279, 11900, 8335, 4442, 627, 644, 279, 220, 7285, 15, 753, 1403, 45166, 12074, 11, 7086, 34422, 69168, 323, 13944, 268, 28982, 942, 11, 20041, 279, 25885, 315, 3823, 21063, 315, 34873, 6296, 13, 17813, 2136, 13, 2435, 8040, 264, 17813, 2136, 42533, 11, 2663, 279, 69168, 5364, 359, 942, 54777, 320, 915, 13, 220, 16, 705, 902, 15151, 279, 8286, 320, 42055, 65800, 8, 5990, 4028, 279, 11900, 20326, 5995, 369, 279, 11700, 311, 45493, 264, 6926, 17813, 2136, 2237, 994, 10666, 449, 10748, 24981, 43076, 13, 1115, 22702, 574, 38291, 304, 220, 6280, 21, 323, 374, 1457, 1511, 439, 279, 22705, 220, 14057, 5410, 369, 39574, 80648, 2136, 9580, 2140, 2530, 627, 22818, 430, 584, 45493, 279, 20955, 315, 34873, 22009, 520, 5370, 8286, 5990, 11, 1268, 17813, 1288, 584, 8891, 994, 584, 527, 27890, 477, 88861, 30, 5659, 279, 69168, 5364, 359, 942, 54777, 4876, 320, 915, 13, 220, 16, 705, 584, 1518, 430, 264, 16967, 2237, 315, 220, 5313, 44868, 65800, 320, 258, 264, 3544, 3130, 8, 5825, 279, 52139, 478, 11011, 16029, 13, 1442, 499, 527, 3318, 304, 264, 9333, 3634, 11, 1093, 264, 14595, 14150, 14356, 11, 279, 10269, 2077, 374, 4762, 12401, 311, 220, 4643, 44868, 65800, 13, 4800, 430, 584, 527, 8010, 430, 1057, 27541, 311, 22253, 323, 4353, 901, 34873, 9221, 810, 10269, 439, 8286, 12992, 11, 584, 649, 24499, 430, 16967, 2288, 57150, 690, 5353, 603, 311, 1390, 311, 5376, 279, 22253, 323, 4353, 901, 2262, 315, 1057, 63526, 320, 28753, 520, 3428, 27378, 279, 5209, 9866, 374, 1455, 21102, 323, 22253, 323, 4353, 901, 2873, 2288, 3428, 4390, 8140, 5915, 374, 311, 1505, 264, 57042, 11, 477, 86085, 11, 16967, 2237, 902, 10578, 1664, 24770, 304, 701, 14624, 4676, 13, 2057, 1652, 44192, 701, 16967, 2237, 11, 499, 690, 1205, 3060, 264, 3241, 477, 12035, 65800, 23819, 13, 358, 1005, 459, 12443, 917, 2663, 65800, 77, 87514, 51623, 53639, 11, 719, 499, 1436, 1101, 1005, 264, 12514, 65800, 23819, 11, 1093, 279, 650, 6853, 1543, 24291, 23819, 477, 279, 1398, 18261, 7528, 23819, 627, 3563, 555, 12967, 701, 8891, 5990, 1523, 369, 1457, 4235, 906, 690, 743, 8891, 8286, 439, 279, 1620, 6566, 315, 279, 8244, 34074, 13, 2638, 709, 264, 8450, 14143, 9183, 304, 701, 423, 14757, 311, 2612, 18718, 12248, 520, 482, 508, 44868, 8653, 323, 10356, 430, 2237, 389, 279, 7491, 282, 1013, 2612, 23819, 13, 1442, 499, 1005, 264, 39052, 8450, 11, 2567, 701, 2612, 281, 6073, 520, 220, 1041, 4, 445, 19945, 11, 719, 422, 499, 1005, 264, 40774, 8450, 14143, 11, 1304, 2771, 311, 4219, 279, 7363, 59672, 627, 2746, 499, 617, 264, 3241, 2585, 7090, 11, 1093, 549, 1846, 753, 5390, 3851, 11, 499, 649, 2033, 1817, 430, 279, 2237, 19261, 279, 12035, 374, 9204, 439, 482, 508, 3000, 13, 9843, 420, 374, 9749, 11, 743, 279, 2612, 8895, 315, 701, 7855, 3834, 682, 279, 1648, 709, 520, 220, 15, 44868, 627, 1687, 11383, 5905, 482, 508, 44868, 8653, 369, 7528, 5990, 1606, 430, 2237, 9248, 279, 24291, 1917, 753, 2010, 3039, 10886, 11, 1405, 482, 508, 44868, 8653, 374, 17715, 6273, 311, 489, 19, 42055, 84, 477, 220, 15, 53, 52, 13, 510, 9290, 430, 482, 508, 42055, 8653, 284, 489, 19, 42055, 84, 374, 279, 93900, 2505, 10576, 1600, 5410, 11, 719, 1322, 14173, 323, 279, 18588, 1670, 311, 482, 972, 44868, 8653, 284, 489, 19, 42055, 84, 11, 279, 469, 15275, 5410, 13, 22395, 88861, 42795, 482, 975, 42055, 8653, 284, 489, 19, 42055, 84, 374, 1101, 4279, 25750, 2520, 13312, 552, 90578, 57022, 701, 65800, 23819, 477, 7195, 701, 65800, 917, 323, 2361, 433, 304, 701, 14624, 2361, 11, 1405, 701, 2010, 1053, 6118, 387, 11, 449, 279, 43495, 22364, 709, 13, 1442, 279, 917, 477, 65800, 23819, 6835, 499, 279, 3072, 11, 3373, 279, 356, 90039, 5569, 323, 6435, 2077, 892, 11, 439, 1521, 527, 279, 1455, 13687, 5110, 369, 420, 955, 315, 19179, 13, 11233, 279, 18718, 12248, 311, 832, 19114, 323, 14297, 4546, 709, 701, 8891, 8286, 3156, 279, 65800, 23819, 374, 39829, 220, 6086, 44868, 65800, 13, 11233, 279, 8450, 311, 279, 1023, 19114, 323, 10356, 430, 499, 617, 279, 1890, 220, 6086, 44868, 5403, 320, 1752, 1109, 20903, 662, 20, 44868, 1990, 279, 2163, 323, 1314, 22032, 374, 3345, 3403, 570, 3277, 499, 7363, 279, 18718, 12248, 1203, 311, 279, 4219, 499, 690, 5406, 279, 23819, 690, 1457, 1373, 220, 5313, 42055, 11, 902, 374, 264, 220, 18, 44868, 5376, 1606, 2225, 22032, 527, 5737, 13, 1472, 1288, 1101, 5406, 10968, 4219, 2217, 11, 902, 690, 7838, 430, 701, 22032, 527, 304, 76790, 449, 1855, 1023, 13, 1789, 27890, 477, 88861, 2477, 4731, 11, 459, 220, 5313, 44868, 33059, 2237, 1253, 2733, 2288, 17813, 11, 779, 433, 374, 4279, 311, 1373, 4345, 420, 2237, 1523, 311, 220, 4643, 44868, 13, 1115, 2237, 320, 4643, 477, 220, 5313, 44868, 8, 374, 1457, 701, 86085, 8891, 2237, 13, 1952, 8891, 27319, 449, 264, 7528, 1373, 412, 433, 374, 4228, 311, 3637, 323, 19635, 420, 24473, 6376, 11, 6062, 499, 1253, 1390, 311, 2035, 264, 1906, 389, 701, 8891, 6597, 311, 13519, 420, 33059, 2237, 627, 2409, 701, 8891, 2237, 743, 323, 2225, 22032, 18545, 11, 499, 649, 1457, 6651, 11, 16913, 430, 499, 527, 3318, 520, 459, 23669, 323, 13263, 2237, 13, 9393, 315, 279, 39574, 80648, 2136, 25885, 11, 433, 374, 16595, 311, 2567, 701, 16967, 2237, 13263, 994, 27890, 13, 5046, 3388, 499, 690, 1505, 433, 5505, 311, 23781, 8891, 520, 90845, 5990, 311, 10356, 430, 279, 3062, 5540, 315, 279, 6651, 7293, 80415, 1524, 520, 3428, 5990, 13, 9176, 7855, 25066, 323, 8891, 27319, 617, 459, 37030, 51959, 734, 11, 902, 6276, 499, 311, 3577, 264, 3215, 323, 6068, 279, 8891, 8286, 555, 264, 44021, 3392, 13, 51959, 374, 5505, 369, 13598, 39954, 520, 264, 4827, 14624, 2237, 323, 1101, 5042, 311, 2187, 499, 311, 617, 264, 11594, 10652, 1418, 279, 4731, 374, 5737, 13, 15958, 287, 1022, 51959, 690, 22571, 743, 701, 37577, 1203, 311, 701, 86085, 16967, 2237, 627, 2746, 499, 15870, 6651, 477, 7491, 389, 44101, 11, 2237, 38711, 374, 539, 439, 31439, 13, 1226, 649, 1431, 6847, 6767, 279, 65800, 2237, 315, 1057, 44101, 11, 779, 584, 2011, 17631, 389, 1057, 18273, 6225, 13757, 13, 1789, 77501, 38711, 11, 358, 4284, 499, 9020, 311, 1664, 52003, 291, 5905, 11936, 520, 5370, 5990, 3156, 499, 2733, 430, 499, 617, 1766, 264, 2237, 430, 5825, 279, 6300, 8430, 315, 5536, 11, 21261, 323, 264, 2539, 31608, 11900, 2077, 13, 5112, 11, 1456, 311, 1906, 701, 77501, 8891, 2237, 2585, 520, 420, 86085, 2237, 13, 1666, 449, 8891, 22032, 11, 279, 810, 13263, 499, 527, 449, 701, 14624, 2237, 11, 279, 810, 13263, 701, 63526, 323, 36467, 690, 2543, 704, 627, 1271, 743, 701, 54767, 8891, 2237, 369, 27890, 11, 1179, 1063, 5905, 14242, 430, 617, 1027, 71325, 323, 4827, 872, 33059, 2237, 304, 701, 423, 14757, 555, 220, 21, 311, 220, 23, 44868, 323, 9020, 311, 433, 520, 701, 86085, 2237, 13, 5112, 1304, 2678, 320, 17, 477, 220, 18, 44868, 8, 2237, 34074, 311, 1505, 701, 54767, 86085, 14624, 2237, 13, 3296, 46301, 279, 2237, 315, 71325, 14242, 555, 220, 21, 477, 220, 23, 44868, 499, 649, 810, 14470, 9616, 701, 653, 13943, 291, 6651, 311, 71325, 5905, 11936, 627, 1271, 743, 701, 54767, 88861, 8891, 2237, 11, 1179, 1063, 5905, 14242, 430, 617, 1027, 71325, 323, 9020, 311, 1124, 520, 701, 86085, 2237, 13, 5112, 1304, 2678, 320, 17, 477, 220, 18, 44868, 8, 2237, 34074, 311, 1505, 701, 54767, 86085, 88861, 2237, 13, 4800, 499, 649, 78076, 9616, 701, 36467, 311, 8518, 5905, 36467, 369, 872, 17813, 2136, 11, 5536, 323, 8430, 2085, 39661, 389, 2237, 20645, 627, 9027, 10892, 1113, 701, 3130, 369, 17813, 2136, 374, 459, 7718, 3094, 7119, 13263, 27890, 323, 88861, 13, 3400, 10892, 1113, 701, 37577, 369, 264, 10269, 11900, 2077, 374, 18813, 3062, 323, 7526, 1093, 12103, 277, 19033, 17650, 220, 19, 1893, 279, 54767, 40094, 16029, 369, 701, 37577, 304, 701, 14624, 4676, 13, 3400, 10892, 1113, 701, 37577, 369, 6300, 17813, 2136, 323, 11900, 2077, 11, 9711, 499, 1664, 389, 701, 1648, 311, 6968, 6721, 49227, 11, 15022, 63526, 323, 36467, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 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 ]
[128000,54,5358,3651,445,82679,198,2520,4236,11,16706,279,6300,9629,5497,374,832,315,279,1455,5107,1(...TRUNCATED)
[-100,54,5358,3651,445,82679,198,2520,4236,11,16706,279,6300,9629,5497,374,832,315,279,1455,5107,194(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,3(...TRUNCATED)
[128000,16834,279,6300,9071,3645,3727,701,4652,1427,810,6721,304,2978,323,520,990,11,584,527,2631,31(...TRUNCATED)
[-100,16834,279,6300,9071,3645,3727,701,4652,1427,810,6721,304,2978,323,520,990,11,584,527,2631,311,(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,3(...TRUNCATED)
[128000,2127,18699,10824,315,4212,54,7403,8245,8771,5557,323,279,3851,315,8162,3311,34873,25,4212,54(...TRUNCATED)
[-100,2127,18699,10824,315,4212,54,7403,8245,8771,5557,323,279,3851,315,8162,3311,34873,25,4212,54,7(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,3(...TRUNCATED)
README.md exists but content is empty. Use the Edit dataset card button to edit it.
Downloads last month
19
Edit dataset card