Datasets:
skymizer
/
axolotl-tiny-set

Dataset card Viewer Files Community
Search is not available for this dataset
input_ids
sequencelengths
59
2.05k
labels
sequencelengths
59
2.05k
attention_mask
sequencelengths
59
2.05k
position_ids
sequencelengths
59
2.05k
[ 128000, 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, 19476, 311, 7491, 13, 2435, 2011, 4048, 311, 1304, 5860, 84127, 323, 11429, 19019, 323, 12722, 13, 1666, 9932, 304, 459, 6931, 4652, 279, 9629, 5497, 374, 264, 43111, 10223, 7434, 13, 40503, 323, 27030, 1205, 311, 2349, 3196, 389, 5370, 4787, 13, 578, 1455, 3062, 3044, 430, 3966, 311, 387, 20669, 374, 10160, 13, 1789, 264, 5575, 320, 438, 1690, 36377, 8, 10160, 374, 459, 9354, 13, 22862, 7612, 430, 279, 5575, 2349, 4395, 922, 813, 9629, 5497, 13, 3639, 568, 706, 9687, 389, 264, 19858, 1938, 374, 1457, 5076, 13, 2893, 433, 36958, 477, 27030, 814, 1457, 2011, 387, 24257, 422, 279, 5575, 374, 311, 617, 264, 6220, 9629, 5497, 13, 2650, 1690, 3115, 617, 584, 11, 439, 54918, 11, 3309, 502, 13839, 4236, 814, 4250, 11722, 430, 1938, 1606, 279, 10160, 374, 2288, 1790, 30, 1115, 4652, 690, 3568, 449, 2010, 86, 8843, 13, 13596, 4652, 690, 4358, 5425, 86, 8843, 627, 94900, 279, 9629, 5497, 304, 94021, 4787, 374, 2216, 264, 14470, 4382, 7434, 13, 11060, 287, 279, 7434, 323, 19486, 433, 311, 1972, 2324, 374, 2500, 4360, 13, 7357, 4967, 11630, 35434, 279, 7434, 13, 2057, 3477, 11, 1455, 6603, 2019, 311, 11722, 10819, 304, 94021, 4787, 13, 578, 4689, 6037, 315, 25015, 374, 311, 923, 220, 1135, 4, 315, 279, 7340, 13240, 30914, 82, 311, 701, 4725, 3805, 20997, 13, 578, 56834, 3213, 11630, 1524, 2019, 311, 923, 11, 539, 4376, 11, 719, 279, 4553, 10160, 30914, 311, 279, 4725, 3805, 20997, 13, 4452, 11, 1690, 6603, 656, 539, 733, 4726, 13, 2684, 527, 3604, 2380, 2574, 430, 2011, 387, 2884, 311, 11722, 264, 6220, 9629, 5497, 304, 94021, 4787, 13, 578, 1176, 374, 13118, 311, 5376, 279, 3805, 20997, 13, 4452, 11, 1070, 527, 1403, 1023, 3245, 430, 2011, 387, 2884, 311, 387, 6220, 13, 1472, 2011, 4822, 5190, 6957, 279, 9629, 5497, 323, 499, 2011, 2543, 701, 2385, 2531, 304, 12401, 311, 279, 842, 315, 279, 52861, 13, 47152, 10819, 1587, 13118, 4445, 1063, 315, 279, 6372, 315, 10160, 389, 279, 9629, 5497, 13, 3011, 374, 11, 499, 690, 64855, 2731, 1139, 279, 10160, 422, 499, 11722, 10819, 13, 4452, 11, 16706, 10819, 320, 49532, 701, 1888, 445, 15302, 4732, 8, 1101, 3727, 499, 55668, 10819, 13, 2100, 16706, 10819, 706, 264, 88620, 13, 4718, 15326, 4478, 12992, 13, 4718, 6138, 9960, 369, 1855, 4579, 315, 36958, 5675, 374, 2103, 11293, 19579, 264, 19858, 1938, 13, 15636, 11, 499, 617, 2103, 539, 1903, 709, 6724, 369, 279, 2010, 19703, 422, 682, 499, 656, 374, 5376, 701, 3805, 20997, 13, 1472, 527, 2103, 62193, 10819, 1109, 499, 1053, 304, 264, 912, 10160, 3044, 13, 14636, 11, 499, 2011, 656, 810, 311, 4445, 279, 31959, 6372, 315, 264, 2010, 19703, 13, 578, 1455, 8196, 3245, 499, 649, 656, 374, 311, 4639, 701, 4236, 311, 10519, 5066, 36958, 311, 1304, 709, 369, 279, 7319, 4478, 315, 15326, 13, 4497, 36958, 374, 279, 1401, 13, 2650, 1790, 30, 1666, 264, 4689, 6037, 315, 25015, 358, 617, 4236, 923, 220, 1041, 7693, 315, 36958, 320, 16834, 27030, 374, 264, 2766, 810, 17395, 439, 279, 2349, 304, 9392, 14117, 389, 1268, 1579, 499, 527, 13, 2468, 279, 7314, 315, 279, 9629, 5497, 11, 13489, 220, 1041, 15, 7693, 945, 75, 279, 9392, 12992, 555, 220, 605, 14697, 14968, 439, 499, 2543, 1620, 279, 9392, 369, 7999, 220, 1041, 7693, 374, 459, 5376, 315, 3221, 220, 966, 311, 220, 1272, 11587, 369, 1475, 220, 605, 35061, 315, 10160, 13, 578, 12047, 3245, 279, 5575, 649, 656, 374, 539, 7999, 3403, 13, 32140, 11, 923, 1524, 2500, 8331, 369, 279, 5497, 13, 12268, 279, 2385, 2531, 304, 6931, 13, 1115, 690, 3041, 279, 30503, 19563, 2753, 6138, 311, 5944, 311, 636, 311, 279, 842, 315, 279, 52861, 323, 8617, 11, 1397, 2753, 5066, 36958, 627, 94413, 1427, 520, 1063, 5219, 13, 578, 445, 15302, 315, 264, 220, 17, 12, 1644, 16706, 520, 220, 2131, 35061, 320, 1820, 4725, 5497, 4732, 8, 374, 922, 220, 508, 14, 16, 13, 1789, 264, 220, 17, 12, 1644, 16706, 1139, 264, 220, 508, 35061, 2010, 19703, 11, 16706, 520, 220, 2397, 56102, 320, 2131, 35061, 4725, 5497, 4732, 5636, 4376, 279, 13240, 10160, 8, 279, 445, 15302, 449, 66427, 8036, 374, 13489, 220, 806, 14, 16, 13, 3161, 2539, 66427, 279, 445, 15302, 315, 264, 220, 17, 12, 1644, 389, 264, 19858, 1938, 374, 922, 220, 22, 14, 16, 13, 763, 1057, 3187, 315, 264, 220, 508, 56102, 2010, 19703, 433, 9221, 922, 220, 19, 14, 16, 13, 5751, 445, 15302, 82, 449, 66427, 8036, 323, 449, 66427, 2539, 1825, 527, 2225, 11293, 555, 13489, 4376, 13, 58166, 9855, 430, 584, 1456, 311, 2567, 1057, 86141, 31332, 304, 279, 6278, 315, 1057, 912, 73306, 19579, 2539, 73306, 86141, 60108, 389, 682, 2919, 369, 682, 4787, 13, 763, 1023, 4339, 2567, 279, 1890, 7296, 4850, 13, 5112, 369, 1057, 94021, 1938, 3187, 584, 1205, 311, 387, 11157, 439, 1579, 320, 333, 584, 2543, 1620, 520, 1057, 13783, 2361, 8, 311, 2103, 2567, 1057, 502, 86141, 31332, 304, 279, 1890, 8844, 2361, 1990, 1057, 502, 320, 19703, 88, 8, 912, 73306, 323, 2539, 73306, 86141, 60108, 627, 3923, 922, 1579, 5178, 30503, 39157, 13, 2052, 502, 30503, 39157, 430, 3449, 279, 622, 946, 220, 1313, 10886, 2011, 617, 66427, 430, 8108, 279, 445, 15302, 311, 220, 22, 14, 16, 477, 2753, 13, 3011, 374, 13524, 279, 1890, 445, 15302, 449, 2539, 66427, 439, 264, 220, 17, 12, 1644, 449, 2539, 66427, 13, 58166, 2019, 1057, 1579, 5178, 30503, 19563, 706, 264, 220, 1272, 14, 16, 445, 15302, 520, 220, 2131, 61317, 323, 311, 2567, 433, 4382, 15714, 2019, 220, 2131, 61317, 374, 279, 4725, 5497, 4732, 13, 763, 1057, 3187, 315, 264, 220, 508, 1474, 764, 2010, 19703, 320, 1114, 61317, 8, 584, 1288, 5376, 1057, 5497, 4732, 311, 220, 5495, 61317, 13, 1442, 584, 9855, 264, 220, 605, 4, 4814, 315, 445, 15302, 555, 16706, 220, 5495, 61317, 19579, 220, 2131, 61317, 11, 1243, 16706, 1139, 264, 220, 508, 35061, 10160, 690, 8108, 279, 445, 15302, 311, 220, 1627, 14, 16, 320, 2790, 51900, 5015, 4732, 18255, 555, 220, 5495, 61317, 16717, 3805, 20997, 3115, 220, 1927, 570, 578, 1579, 5178, 30503, 19563, 304, 264, 220, 508, 1474, 764, 10160, 690, 1205, 311, 387, 520, 3325, 220, 1135, 4, 5190, 389, 279, 2543, 311, 1620, 311, 387, 304, 279, 6278, 315, 279, 502, 320, 19703, 88, 8, 912, 73306, 19579, 2539, 73306, 2840, 1814, 13006, 627, 4071, 3868, 0, 3639, 422, 279, 5575, 706, 2288, 1790, 36958, 323, 10800, 279, 2385, 2531, 304, 4216, 13, 468, 546, 568, 11722, 1555, 279, 52861, 14, 2630, 323, 10121, 389, 279, 3117, 842, 315, 279, 52861, 14, 2630, 13, 2876, 4461, 422, 499, 617, 15972, 1461, 39007, 311, 21818, 323, 1005, 2539, 66427, 3131, 568, 57695, 374, 2771, 430, 279, 2115, 690, 387, 1903, 13, 763, 1057, 3187, 315, 264, 220, 508, 56102, 10160, 15714, 617, 279, 5575, 5425, 279, 842, 315, 279, 52861, 9193, 1579, 11, 2019, 220, 2636, 7693, 11, 3485, 279, 5015, 13, 578, 30503, 19563, 690, 5916, 1523, 220, 1049, 15, 7693, 1523, 279, 52861, 449, 2539, 66427, 323, 912, 64802, 13, 320, 7594, 5772, 690, 7995, 74481, 430, 6138, 6266, 2360, 1405, 3221, 279, 842, 315, 1455, 1629, 2336, 1511, 994, 4967, 4236, 13, 3161, 264, 52861, 315, 220, 3101, 15, 7693, 279, 5575, 1053, 617, 311, 5425, 279, 842, 315, 279, 52861, 520, 459, 36958, 315, 927, 220, 7007, 7693, 1603, 568, 57695, 2643, 1629, 704, 315, 52861, 13, 37633, 11, 57843, 30, 1628, 420, 374, 2085, 1701, 264, 21818, 311, 5376, 279, 4478, 315, 15326, 627, 44534, 25, 1226, 439, 54918, 2011, 4639, 1057, 4236, 311, 7652, 369, 94021, 4787, 13, 2435, 2011, 387, 15972, 430, 433, 374, 1790, 2731, 311, 1886, 389, 279, 1579, 323, 5043, 3185, 19579, 279, 3428, 323, 6435, 3185, 13, 358, 1501, 1124, 420, 7434, 555, 3515, 1124, 2543, 1620, 2391, 264, 4967, 11213, 520, 1148, 814, 1781, 374, 1633, 11, 1633, 1579, 323, 1095, 1124, 1518, 430, 279, 30503, 19563, 649, 2103, 387, 27212, 1648, 1603, 4401, 704, 315, 52861, 13, 53466, 1070, 374, 264, 2673, 430, 649, 387, 2288, 1579, 311, 4363, 21676, 13, 4452, 11, 1057, 1510, 11677, 3217, 5039, 430, 1057, 3575, 374, 539, 16706, 1555, 279, 52861, 719, 4856, 3794, 311, 433, 304, 279, 1176, 2035, 13, 2057, 63179, 304, 4382, 3878, 856, 6037, 369, 4236, 994, 16706, 304, 10160, 374, 439, 11263, 512, 54100, 12867, 989, 323, 12522, 36549, 51447, 33, 4289, 8213, 5234, 2100, 3329, 128001, 128000, 34124, 706, 279, 1314, 311, 2733, 6220, 323, 387, 6220, 13, 19048, 304, 264, 3070, 449, 4819, 315, 9349, 649, 387, 35104, 287, 13, 2684, 1253, 387, 1690, 38864, 304, 701, 4059, 323, 279, 2671, 2561, 1253, 387, 31715, 13, 45072, 311, 4423, 922, 1148, 499, 527, 13176, 649, 1520, 311, 14553, 701, 10723, 323, 14604, 23104, 13, 4427, 1505, 433, 11190, 311, 6604, 449, 264, 6721, 2346, 35935, 269, 13, 1115, 649, 3493, 499, 449, 1862, 439, 499, 3197, 2678, 11, 92178, 7504, 7119, 36567, 704, 315, 279, 6671, 13, 12040, 279, 1176, 3094, 311, 6056, 1520, 627, 15547, 9349, 374, 264, 5497, 315, 17432, 304, 904, 5133, 430, 374, 1511, 311, 8895, 477, 10519, 2410, 323, 2585, 927, 2500, 3070, 4562, 627, 23389, 985, 13194, 311, 264, 3070, 4562, 555, 459, 1180, 3967, 477, 22525, 311, 617, 1027, 3967, 311, 1121, 304, 13194, 627, 30285, 3725, 2389, 5859, 477, 84393, 264, 3070, 4562, 2403, 872, 690, 13, 20915, 940, 26425, 449, 7537, 311, 5353, 477, 14392, 430, 433, 374, 4461, 311, 5353, 96022, 311, 264, 3070, 4562, 627, 2746, 499, 477, 4423, 499, 1440, 374, 92372, 1716, 11737, 11, 993, 788, 278, 11737, 11, 22916, 11737, 11, 20134, 6822, 11737, 477, 3070, 9349, 14228, 13146, 11, 1650, 279, 54403, 39, 520, 220, 5245, 15, 12, 15831, 12, 931, 15, 627, 2746, 1070, 374, 51551, 8137, 311, 2324, 323, 7296, 11, 4587, 1650, 279, 4379, 520, 220, 5500, 11, 477, 733, 311, 701, 24379, 40442, 10289, 3962, 477, 14821, 369, 1520, 627, 791, 10289, 649, 3493, 499, 449, 264, 45880, 6661, 369, 6593, 6514, 477, 24481, 520, 279, 8952, 627, 2675, 1288, 6056, 6593, 6514, 520, 701, 24379, 8952, 477, 28913, 627, 2675, 1253, 5603, 264, 12517, 5475, 14821, 477, 279, 10289, 422, 499, 6562, 311, 733, 311, 264, 11501, 23756, 13, 7290, 1219, 33099, 520, 220, 5245, 15, 220, 9716, 220, 931, 15, 311, 4667, 311, 279, 435, 3624, 24379, 311, 499, 11, 477, 4299, 1618, 369, 264, 2472, 627, 2675, 649, 1101, 6056, 23756, 449, 29658, 477, 4885, 499, 7095, 627, 27312, 279, 15996, 578, 69188, 3997, 369, 810, 2038, 389, 3070, 9349, 323, 11125, 1520, 627, 99513, 287, 477, 25051, 3070, 9349, 649, 387, 35104, 287, 369, 2911, 11, 1524, 422, 814, 617, 539, 1027, 69525, 6089, 13, 8483, 706, 1766, 430, 14675, 311, 9349, 649, 387, 65069, 311, 2911, 753, 24064, 11, 14604, 11, 323, 1524, 7106, 4500, 13, 15394, 889, 617, 1027, 15246, 311, 9349, 1253, 3217, 21958, 1093, 51978, 11, 18547, 11, 8850, 11, 34951, 11, 323, 3428, 659, 65906, 13, 2435, 1253, 31324, 71177, 1778, 439, 30836, 11, 40307, 11, 13200, 323, 20278, 11737, 11, 477, 16988, 304, 41273, 7392, 71177, 13, 763, 1063, 15082, 11, 279, 5536, 315, 3070, 9349, 649, 387, 1317, 65265, 13, 3277, 814, 3139, 709, 11, 814, 1253, 3217, 17250, 30164, 9498, 12135, 11, 22313, 7853, 9349, 11, 477, 3719, 12697, 315, 3070, 9349, 5694, 13, 1472, 1253, 1505, 1063, 1862, 369, 2911, 1618, 13, 128001 ]
[ -100, 54, 5358, 3651, 445, 82679, 198, 2520, 4236, 11, 16706, 279, 6300, 9629, 5497, 374, 832, 315, 279, 1455, 5107, 19476, 311, 7491, 13, 2435, 2011, 4048, 311, 1304, 5860, 84127, 323, 11429, 19019, 323, 12722, 13, 1666, 9932, 304, 459, 6931, 4652, 279, 9629, 5497, 374, 264, 43111, 10223, 7434, 13, 40503, 323, 27030, 1205, 311, 2349, 3196, 389, 5370, 4787, 13, 578, 1455, 3062, 3044, 430, 3966, 311, 387, 20669, 374, 10160, 13, 1789, 264, 5575, 320, 438, 1690, 36377, 8, 10160, 374, 459, 9354, 13, 22862, 7612, 430, 279, 5575, 2349, 4395, 922, 813, 9629, 5497, 13, 3639, 568, 706, 9687, 389, 264, 19858, 1938, 374, 1457, 5076, 13, 2893, 433, 36958, 477, 27030, 814, 1457, 2011, 387, 24257, 422, 279, 5575, 374, 311, 617, 264, 6220, 9629, 5497, 13, 2650, 1690, 3115, 617, 584, 11, 439, 54918, 11, 3309, 502, 13839, 4236, 814, 4250, 11722, 430, 1938, 1606, 279, 10160, 374, 2288, 1790, 30, 1115, 4652, 690, 3568, 449, 2010, 86, 8843, 13, 13596, 4652, 690, 4358, 5425, 86, 8843, 627, 94900, 279, 9629, 5497, 304, 94021, 4787, 374, 2216, 264, 14470, 4382, 7434, 13, 11060, 287, 279, 7434, 323, 19486, 433, 311, 1972, 2324, 374, 2500, 4360, 13, 7357, 4967, 11630, 35434, 279, 7434, 13, 2057, 3477, 11, 1455, 6603, 2019, 311, 11722, 10819, 304, 94021, 4787, 13, 578, 4689, 6037, 315, 25015, 374, 311, 923, 220, 1135, 4, 315, 279, 7340, 13240, 30914, 82, 311, 701, 4725, 3805, 20997, 13, 578, 56834, 3213, 11630, 1524, 2019, 311, 923, 11, 539, 4376, 11, 719, 279, 4553, 10160, 30914, 311, 279, 4725, 3805, 20997, 13, 4452, 11, 1690, 6603, 656, 539, 733, 4726, 13, 2684, 527, 3604, 2380, 2574, 430, 2011, 387, 2884, 311, 11722, 264, 6220, 9629, 5497, 304, 94021, 4787, 13, 578, 1176, 374, 13118, 311, 5376, 279, 3805, 20997, 13, 4452, 11, 1070, 527, 1403, 1023, 3245, 430, 2011, 387, 2884, 311, 387, 6220, 13, 1472, 2011, 4822, 5190, 6957, 279, 9629, 5497, 323, 499, 2011, 2543, 701, 2385, 2531, 304, 12401, 311, 279, 842, 315, 279, 52861, 13, 47152, 10819, 1587, 13118, 4445, 1063, 315, 279, 6372, 315, 10160, 389, 279, 9629, 5497, 13, 3011, 374, 11, 499, 690, 64855, 2731, 1139, 279, 10160, 422, 499, 11722, 10819, 13, 4452, 11, 16706, 10819, 320, 49532, 701, 1888, 445, 15302, 4732, 8, 1101, 3727, 499, 55668, 10819, 13, 2100, 16706, 10819, 706, 264, 88620, 13, 4718, 15326, 4478, 12992, 13, 4718, 6138, 9960, 369, 1855, 4579, 315, 36958, 5675, 374, 2103, 11293, 19579, 264, 19858, 1938, 13, 15636, 11, 499, 617, 2103, 539, 1903, 709, 6724, 369, 279, 2010, 19703, 422, 682, 499, 656, 374, 5376, 701, 3805, 20997, 13, 1472, 527, 2103, 62193, 10819, 1109, 499, 1053, 304, 264, 912, 10160, 3044, 13, 14636, 11, 499, 2011, 656, 810, 311, 4445, 279, 31959, 6372, 315, 264, 2010, 19703, 13, 578, 1455, 8196, 3245, 499, 649, 656, 374, 311, 4639, 701, 4236, 311, 10519, 5066, 36958, 311, 1304, 709, 369, 279, 7319, 4478, 315, 15326, 13, 4497, 36958, 374, 279, 1401, 13, 2650, 1790, 30, 1666, 264, 4689, 6037, 315, 25015, 358, 617, 4236, 923, 220, 1041, 7693, 315, 36958, 320, 16834, 27030, 374, 264, 2766, 810, 17395, 439, 279, 2349, 304, 9392, 14117, 389, 1268, 1579, 499, 527, 13, 2468, 279, 7314, 315, 279, 9629, 5497, 11, 13489, 220, 1041, 15, 7693, 945, 75, 279, 9392, 12992, 555, 220, 605, 14697, 14968, 439, 499, 2543, 1620, 279, 9392, 369, 7999, 220, 1041, 7693, 374, 459, 5376, 315, 3221, 220, 966, 311, 220, 1272, 11587, 369, 1475, 220, 605, 35061, 315, 10160, 13, 578, 12047, 3245, 279, 5575, 649, 656, 374, 539, 7999, 3403, 13, 32140, 11, 923, 1524, 2500, 8331, 369, 279, 5497, 13, 12268, 279, 2385, 2531, 304, 6931, 13, 1115, 690, 3041, 279, 30503, 19563, 2753, 6138, 311, 5944, 311, 636, 311, 279, 842, 315, 279, 52861, 323, 8617, 11, 1397, 2753, 5066, 36958, 627, 94413, 1427, 520, 1063, 5219, 13, 578, 445, 15302, 315, 264, 220, 17, 12, 1644, 16706, 520, 220, 2131, 35061, 320, 1820, 4725, 5497, 4732, 8, 374, 922, 220, 508, 14, 16, 13, 1789, 264, 220, 17, 12, 1644, 16706, 1139, 264, 220, 508, 35061, 2010, 19703, 11, 16706, 520, 220, 2397, 56102, 320, 2131, 35061, 4725, 5497, 4732, 5636, 4376, 279, 13240, 10160, 8, 279, 445, 15302, 449, 66427, 8036, 374, 13489, 220, 806, 14, 16, 13, 3161, 2539, 66427, 279, 445, 15302, 315, 264, 220, 17, 12, 1644, 389, 264, 19858, 1938, 374, 922, 220, 22, 14, 16, 13, 763, 1057, 3187, 315, 264, 220, 508, 56102, 2010, 19703, 433, 9221, 922, 220, 19, 14, 16, 13, 5751, 445, 15302, 82, 449, 66427, 8036, 323, 449, 66427, 2539, 1825, 527, 2225, 11293, 555, 13489, 4376, 13, 58166, 9855, 430, 584, 1456, 311, 2567, 1057, 86141, 31332, 304, 279, 6278, 315, 1057, 912, 73306, 19579, 2539, 73306, 86141, 60108, 389, 682, 2919, 369, 682, 4787, 13, 763, 1023, 4339, 2567, 279, 1890, 7296, 4850, 13, 5112, 369, 1057, 94021, 1938, 3187, 584, 1205, 311, 387, 11157, 439, 1579, 320, 333, 584, 2543, 1620, 520, 1057, 13783, 2361, 8, 311, 2103, 2567, 1057, 502, 86141, 31332, 304, 279, 1890, 8844, 2361, 1990, 1057, 502, 320, 19703, 88, 8, 912, 73306, 323, 2539, 73306, 86141, 60108, 627, 3923, 922, 1579, 5178, 30503, 39157, 13, 2052, 502, 30503, 39157, 430, 3449, 279, 622, 946, 220, 1313, 10886, 2011, 617, 66427, 430, 8108, 279, 445, 15302, 311, 220, 22, 14, 16, 477, 2753, 13, 3011, 374, 13524, 279, 1890, 445, 15302, 449, 2539, 66427, 439, 264, 220, 17, 12, 1644, 449, 2539, 66427, 13, 58166, 2019, 1057, 1579, 5178, 30503, 19563, 706, 264, 220, 1272, 14, 16, 445, 15302, 520, 220, 2131, 61317, 323, 311, 2567, 433, 4382, 15714, 2019, 220, 2131, 61317, 374, 279, 4725, 5497, 4732, 13, 763, 1057, 3187, 315, 264, 220, 508, 1474, 764, 2010, 19703, 320, 1114, 61317, 8, 584, 1288, 5376, 1057, 5497, 4732, 311, 220, 5495, 61317, 13, 1442, 584, 9855, 264, 220, 605, 4, 4814, 315, 445, 15302, 555, 16706, 220, 5495, 61317, 19579, 220, 2131, 61317, 11, 1243, 16706, 1139, 264, 220, 508, 35061, 10160, 690, 8108, 279, 445, 15302, 311, 220, 1627, 14, 16, 320, 2790, 51900, 5015, 4732, 18255, 555, 220, 5495, 61317, 16717, 3805, 20997, 3115, 220, 1927, 570, 578, 1579, 5178, 30503, 19563, 304, 264, 220, 508, 1474, 764, 10160, 690, 1205, 311, 387, 520, 3325, 220, 1135, 4, 5190, 389, 279, 2543, 311, 1620, 311, 387, 304, 279, 6278, 315, 279, 502, 320, 19703, 88, 8, 912, 73306, 19579, 2539, 73306, 2840, 1814, 13006, 627, 4071, 3868, 0, 3639, 422, 279, 5575, 706, 2288, 1790, 36958, 323, 10800, 279, 2385, 2531, 304, 4216, 13, 468, 546, 568, 11722, 1555, 279, 52861, 14, 2630, 323, 10121, 389, 279, 3117, 842, 315, 279, 52861, 14, 2630, 13, 2876, 4461, 422, 499, 617, 15972, 1461, 39007, 311, 21818, 323, 1005, 2539, 66427, 3131, 568, 57695, 374, 2771, 430, 279, 2115, 690, 387, 1903, 13, 763, 1057, 3187, 315, 264, 220, 508, 56102, 10160, 15714, 617, 279, 5575, 5425, 279, 842, 315, 279, 52861, 9193, 1579, 11, 2019, 220, 2636, 7693, 11, 3485, 279, 5015, 13, 578, 30503, 19563, 690, 5916, 1523, 220, 1049, 15, 7693, 1523, 279, 52861, 449, 2539, 66427, 323, 912, 64802, 13, 320, 7594, 5772, 690, 7995, 74481, 430, 6138, 6266, 2360, 1405, 3221, 279, 842, 315, 1455, 1629, 2336, 1511, 994, 4967, 4236, 13, 3161, 264, 52861, 315, 220, 3101, 15, 7693, 279, 5575, 1053, 617, 311, 5425, 279, 842, 315, 279, 52861, 520, 459, 36958, 315, 927, 220, 7007, 7693, 1603, 568, 57695, 2643, 1629, 704, 315, 52861, 13, 37633, 11, 57843, 30, 1628, 420, 374, 2085, 1701, 264, 21818, 311, 5376, 279, 4478, 315, 15326, 627, 44534, 25, 1226, 439, 54918, 2011, 4639, 1057, 4236, 311, 7652, 369, 94021, 4787, 13, 2435, 2011, 387, 15972, 430, 433, 374, 1790, 2731, 311, 1886, 389, 279, 1579, 323, 5043, 3185, 19579, 279, 3428, 323, 6435, 3185, 13, 358, 1501, 1124, 420, 7434, 555, 3515, 1124, 2543, 1620, 2391, 264, 4967, 11213, 520, 1148, 814, 1781, 374, 1633, 11, 1633, 1579, 323, 1095, 1124, 1518, 430, 279, 30503, 19563, 649, 2103, 387, 27212, 1648, 1603, 4401, 704, 315, 52861, 13, 53466, 1070, 374, 264, 2673, 430, 649, 387, 2288, 1579, 311, 4363, 21676, 13, 4452, 11, 1057, 1510, 11677, 3217, 5039, 430, 1057, 3575, 374, 539, 16706, 1555, 279, 52861, 719, 4856, 3794, 311, 433, 304, 279, 1176, 2035, 13, 2057, 63179, 304, 4382, 3878, 856, 6037, 369, 4236, 994, 16706, 304, 10160, 374, 439, 11263, 512, 54100, 12867, 989, 323, 12522, 36549, 51447, 33, 4289, 8213, 5234, 2100, 3329, 128001, -100, 34124, 706, 279, 1314, 311, 2733, 6220, 323, 387, 6220, 13, 19048, 304, 264, 3070, 449, 4819, 315, 9349, 649, 387, 35104, 287, 13, 2684, 1253, 387, 1690, 38864, 304, 701, 4059, 323, 279, 2671, 2561, 1253, 387, 31715, 13, 45072, 311, 4423, 922, 1148, 499, 527, 13176, 649, 1520, 311, 14553, 701, 10723, 323, 14604, 23104, 13, 4427, 1505, 433, 11190, 311, 6604, 449, 264, 6721, 2346, 35935, 269, 13, 1115, 649, 3493, 499, 449, 1862, 439, 499, 3197, 2678, 11, 92178, 7504, 7119, 36567, 704, 315, 279, 6671, 13, 12040, 279, 1176, 3094, 311, 6056, 1520, 627, 15547, 9349, 374, 264, 5497, 315, 17432, 304, 904, 5133, 430, 374, 1511, 311, 8895, 477, 10519, 2410, 323, 2585, 927, 2500, 3070, 4562, 627, 23389, 985, 13194, 311, 264, 3070, 4562, 555, 459, 1180, 3967, 477, 22525, 311, 617, 1027, 3967, 311, 1121, 304, 13194, 627, 30285, 3725, 2389, 5859, 477, 84393, 264, 3070, 4562, 2403, 872, 690, 13, 20915, 940, 26425, 449, 7537, 311, 5353, 477, 14392, 430, 433, 374, 4461, 311, 5353, 96022, 311, 264, 3070, 4562, 627, 2746, 499, 477, 4423, 499, 1440, 374, 92372, 1716, 11737, 11, 993, 788, 278, 11737, 11, 22916, 11737, 11, 20134, 6822, 11737, 477, 3070, 9349, 14228, 13146, 11, 1650, 279, 54403, 39, 520, 220, 5245, 15, 12, 15831, 12, 931, 15, 627, 2746, 1070, 374, 51551, 8137, 311, 2324, 323, 7296, 11, 4587, 1650, 279, 4379, 520, 220, 5500, 11, 477, 733, 311, 701, 24379, 40442, 10289, 3962, 477, 14821, 369, 1520, 627, 791, 10289, 649, 3493, 499, 449, 264, 45880, 6661, 369, 6593, 6514, 477, 24481, 520, 279, 8952, 627, 2675, 1288, 6056, 6593, 6514, 520, 701, 24379, 8952, 477, 28913, 627, 2675, 1253, 5603, 264, 12517, 5475, 14821, 477, 279, 10289, 422, 499, 6562, 311, 733, 311, 264, 11501, 23756, 13, 7290, 1219, 33099, 520, 220, 5245, 15, 220, 9716, 220, 931, 15, 311, 4667, 311, 279, 435, 3624, 24379, 311, 499, 11, 477, 4299, 1618, 369, 264, 2472, 627, 2675, 649, 1101, 6056, 23756, 449, 29658, 477, 4885, 499, 7095, 627, 27312, 279, 15996, 578, 69188, 3997, 369, 810, 2038, 389, 3070, 9349, 323, 11125, 1520, 627, 99513, 287, 477, 25051, 3070, 9349, 649, 387, 35104, 287, 369, 2911, 11, 1524, 422, 814, 617, 539, 1027, 69525, 6089, 13, 8483, 706, 1766, 430, 14675, 311, 9349, 649, 387, 65069, 311, 2911, 753, 24064, 11, 14604, 11, 323, 1524, 7106, 4500, 13, 15394, 889, 617, 1027, 15246, 311, 9349, 1253, 3217, 21958, 1093, 51978, 11, 18547, 11, 8850, 11, 34951, 11, 323, 3428, 659, 65906, 13, 2435, 1253, 31324, 71177, 1778, 439, 30836, 11, 40307, 11, 13200, 323, 20278, 11737, 11, 477, 16988, 304, 41273, 7392, 71177, 13, 763, 1063, 15082, 11, 279, 5536, 315, 3070, 9349, 649, 387, 1317, 65265, 13, 3277, 814, 3139, 709, 11, 814, 1253, 3217, 17250, 30164, 9498, 12135, 11, 22313, 7853, 9349, 11, 477, 3719, 12697, 315, 3070, 9349, 5694, 13, 1472, 1253, 1505, 1063, 1862, 369, 2911, 1618, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 16834, 279, 6300, 9071, 3645, 3727, 701, 4652, 1427, 810, 6721, 304, 2978, 323, 520, 990, 11, 584, 527, 2631, 311, 1005, 264, 3738, 3645, 994, 4477, 13, 386, 4355, 3645, 320, 4291, 3187, 8, 296, 4355, 3645, 1521, 10886, 527, 7633, 304, 279, 296, 4355, 76349, 369, 16483, 315, 3495, 16064, 7231, 701, 9071, 264, 6300, 6932, 13, 362, 11670, 3645, 369, 62644, 374, 279, 4330, 12, 28827, 9071, 433, 374, 539, 279, 1193, 3645, 369, 4477, 459, 9071, 11, 315, 3388, 11, 719, 433, 374, 264, 5505, 1646, 369, 499, 311, 2567, 304, 13, 386, 4355, 9071, 3645, 25, 10631, 369, 4477, 3495, 23691, 1475, 296, 4355, 1742, 9071, 690, 3041, 499, 459, 15632, 430, 5039, 6300, 39242, 11, 1606, 499, 617, 264, 11944, 13, 15281, 922, 9071, 21782, 3645, 323, 9071, 21782, 6070, 11, 3477, 9071, 21782, 3896, 11, 9071, 21782, 6205, 323, 594, 261, 331, 21782, 6205, 13, 1115, 1450, 412, 5825, 11944, 2038, 922, 1268, 311, 3350, 3495, 16064, 2737, 25394, 3495, 16064, 439, 264, 17779, 11, 19301, 13650, 11, 323, 9455, 8336, 627, 1360, 716, 7926, 9071, 3645, 10507, 8336, 499, 1935, 439, 264, 8197, 520, 279, 6300, 315, 17649, 3495, 779, 439, 539, 311, 10894, 6300, 3062, 3649, 13, 1556, 3187, 315, 6300, 4477, 505, 264, 5575, 3495, 5684, 279, 3645, 6982, 374, 422, 499, 527, 1701, 459, 3187, 315, 6300, 4477, 505, 264, 5575, 3495, 13, 2057, 3350, 264, 6300, 9071, 832, 3966, 311, 617, 6070, 315, 3463, 279, 6070, 374, 279, 3645, 323, 279, 2262, 374, 8996, 499, 3350, 36051, 287, 311, 279, 9071, 3645, 627, 96609, 3495, 4860, 430, 1436, 387, 19089, 304, 3938, 11028, 315, 420, 5684, 323, 315, 296, 4355, 1742, 17959, 279, 6111, 66, 2442, 683, 14646, 11, 477, 6111, 66, 13, 13822, 304, 420, 5684, 584, 690, 13488, 1268, 311, 10489, 3645, 459, 10489, 3645, 459, 61693, 1742, 5684, 30063, 4221, 9071, 304, 13443, 323, 3495, 13, 1115, 2007, 16964, 1268, 311, 3645, 701, 3495, 5684, 1701, 3060, 279, 296, 4355, 477, 61693, 17959, 387, 2771, 311, 1833, 904, 5217, 11470, 430, 701, 11326, 5825, 627, 8586, 499, 3358, 1505, 279, 32874, 369, 37666, 264, 3495, 5684, 323, 1148, 13146, 311, 3645, 701, 6300, 37666, 17850, 477, 264, 4382, 220, 20, 12, 28827, 9071, 13, 65658, 61693, 3645, 9071, 4236, 304, 16627, 9071, 389, 27823, 6603, 3495, 11, 369, 8830, 1603, 6300, 61693, 3645, 9071, 35359, 1413, 41300, 430, 527, 13, 2650, 311, 3645, 459, 9071, 25, 296, 4355, 11, 61693, 11, 93308, 1742, 90111, 220, 508, 11, 220, 679, 22, 9071, 4477, 10631, 11, 5410, 9071, 3645, 323, 80184, 264, 6300, 3495, 9071, 3645, 13, 6498, 18528, 220, 16, 279, 6300, 3645, 369, 23691, 5398, 2163, 25, 279, 1495, 315, 701, 9071, 1288, 387, 32393, 709, 42147, 520, 279, 2163, 4850, 719, 539, 520, 279, 1314, 4850, 627, 791, 17139, 8641, 311, 4477, 4832, 3495, 16064, 459, 9071, 11, 264, 3495, 477, 4751, 5684, 1550, 602, 3240, 1855, 14646, 449, 264, 6300, 8712, 11914, 220, 17, 13, 2650, 311, 3350, 264, 3495, 9071, 422, 499, 527, 12893, 264, 3230, 3645, 11, 499, 2011, 1935, 2512, 311, 49553, 311, 17959, 369, 1495, 37666, 323, 52946, 13, 2650, 311, 3350, 264, 3495, 5684, 994, 4477, 304, 61693, 3645, 499, 2011, 31335, 701, 5684, 555, 70552, 2737, 279, 1268, 311, 3350, 264, 3495, 9071, 1268, 311, 6516, 128001, 128000, 87614, 41405, 7029, 14291, 75982, 40692, 374, 44378, 369, 7418, 596, 1847, 2403, 279, 13030, 45267, 4245, 311, 264, 98875, 26800, 11, 4184, 311, 27290, 19051, 13, 40692, 574, 5762, 704, 315, 6740, 596, 6725, 1306, 36666, 682, 2046, 13, 1283, 374, 11846, 311, 617, 16654, 279, 11134, 520, 1063, 1486, 389, 6740, 627, 2746, 40692, 1051, 311, 3194, 279, 1847, 11, 16768, 41937, 1169, 770, 1053, 1212, 304, 813, 2035, 14329, 36303, 19816, 11, 889, 9731, 311, 387, 46376, 555, 264, 37628, 3252, 90805, 11134, 627, 57634, 6539, 29680, 25, 1115, 11134, 1436, 539, 2586, 520, 264, 11201, 892, 369, 75982, 40692, 11, 889, 1253, 387, 5737, 279, 1888, 9141, 315, 813, 7076, 6051, 13, 4740, 264, 9024, 11, 220, 1041, 37839, 1847, 1603, 279, 54141, 2046, 11, 40692, 3782, 704, 323, 16957, 1403, 43879, 1566, 2046, 2403, 279, 24899, 48580, 627, 33, 894, 519, 706, 279, 36941, 311, 387, 264, 1948, 5899, 18884, 7029, 14291, 2133, 4741, 11, 3984, 568, 649, 4822, 9498, 13, 2684, 374, 91866, 264, 6689, 568, 11335, 389, 7418, 11, 779, 1541, 956, 6958, 1461, 505, 701, 18884, 28612, 1120, 3686, 13, 1442, 568, 29972, 311, 7937, 709, 11, 279, 41405, 6, 12579, 3440, 706, 459, 9250, 45937, 2403, 279, 13030, 45267, 13, 128001, 128000, 27, 876, 1284, 1590, 29, 1041, 15, 17359, 475, 20499, 198, 1527, 20499, 1179, 8018, 271, 475, 61836, 18, 198, 1527, 61836, 18, 32953, 37058, 1179, 13749, 6777, 37058, 1432, 81059, 6777, 37058, 31489, 49776, 30808, 25967, 4813, 16, 340, 755, 1296, 11959, 9353, 16, 4019, 262, 1522, 1432, 81059, 6777, 37058, 31489, 49776, 30808, 25967, 4813, 17, 340, 755, 1296, 11959, 9353, 17, 4019, 262, 1522, 1432, 1058, 2722, 37058, 2323, 38278, 32463, 997, 262, 711, 19133, 1214, 997, 286, 2307, 1020, 63952, 2892, 286, 11140, 261, 284, 8018, 27799, 493, 447, 3036, 18, 32953, 37058, 21721, 6777, 37058, 23616, 11959, 16330, 1329, 286, 659, 15418, 15157, 11959, 16330, 284, 11140, 261, 5069, 746, 286, 659, 1388, 68435, 1319, 29158, 13530, 696, 262, 711, 1296, 12596, 851, 1214, 997, 286, 3270, 286, 9343, 3110, 27656, 279, 1890, 4028, 279, 6880, 627, 286, 3270, 286, 1296, 11959, 9353, 16, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 16, 11, 8018, 885, 23923, 340, 286, 3882, 851, 284, 659, 15418, 15157, 11959, 16330, 8692, 8550, 58, 15, 1483, 16, 2595, 286, 659, 15418, 15157, 11959, 16330, 14178, 35234, 746, 286, 1296, 11959, 9353, 17, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 17, 11, 3882, 851, 696, 262, 711, 1296, 12596, 19520, 12596, 851, 1214, 997, 286, 1296, 11959, 9353, 16, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 16, 11, 8018, 885, 23923, 340, 286, 3882, 851, 284, 659, 15418, 15157, 11959, 16330, 8692, 8550, 58, 15, 1483, 16, 2595, 286, 659, 15418, 15157, 11959, 16330, 14178, 35234, 746, 286, 61836, 18, 32953, 37058, 14178, 12596, 851, 746, 286, 1296, 11959, 9353, 17, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 17, 11, 8018, 885, 23923, 340, 286, 502, 12596, 851, 284, 659, 15418, 15157, 11959, 16330, 8692, 8550, 58, 15, 1483, 16, 2595, 286, 2105, 502, 12596, 851, 976, 3882, 851, 198, 128001, 128000, 791, 3778, 16803, 5111, 574, 21095, 304, 279, 3723, 4273, 505, 220, 9714, 16, 311, 220, 9714, 20, 13, 578, 1121, 315, 264, 22666, 6104, 279, 6411, 4208, 574, 5108, 311, 459, 842, 11, 279, 5054, 312, 61268, 315, 279, 7140, 574, 311, 68229, 2468, 279, 1212, 315, 279, 8431, 4208, 11, 264, 1887, 315, 1370, 7298, 24026, 627, 791, 8431, 4208, 574, 21095, 1990, 220, 9714, 16, 323, 220, 9714, 20, 323, 36513, 220, 19, 1667, 13, 2564, 578, 1455, 3629, 22628, 4033, 2457, 315, 279, 842, 315, 279, 8431, 4208, 374, 5936, 220, 24, 11, 220, 9714, 20, 994, 3331, 12515, 1383, 279, 842, 315, 279, 4208, 11, 279, 71075, 315, 28240, 315, 4208, 389, 2225, 11314, 1047, 3719, 76367, 13118, 13, 63294, 315, 9424, 700, 5079, 8636, 304, 279, 43318, 3190, 520, 65329, 9008, 11, 1561, 12515, 21383, 220, 717, 11, 220, 679, 20, 2564, 3861, 89544, 11463, 1122, 32126, 279, 16803, 5111, 3240, 304, 813, 9979, 323, 842, 304, 813, 4156, 1370, 9761, 627, 21383, 220, 717, 11, 220, 3753, 16, 2564, 1952, 420, 1938, 304, 11346, 11, 578, 16803, 5111, 12302, 389, 5186, 220, 717, 11, 220, 9714, 16, 13, 2564, 311, 42592, 88471, 11, 1202, 1176, 2536, 5364, 494, 263, 19582, 11, 902, 17738, 279, 842, 315, 279, 779, 19434, 1054, 61220, 1494, 5111, 13, 2564, 16844, 11, 264, 13286, 10068, 11, 3287, 956, 1212, 5737, 17057, 627, 644, 459, 1567, 430, 374, 8965, 27458, 439, 36024, 279, 842, 315, 279, 16803, 5111, 11, 57457, 3331, 71911, 58811, 9259, 11, 29094, 315, 57457, 8603, 9909, 315, 12515, 21383, 220, 24, 11, 220, 679, 20, 2564, 763, 5936, 220, 9714, 20, 9500, 13, 8563, 469, 13, 12336, 25139, 303, 388, 311, 9500, 13, 549, 398, 784, 288, 328, 13, 24668, 11, 12967, 459, 842, 311, 279, 16803, 5111, 1306, 3116, 1667, 315, 8209, 13, 8377, 26, 356, 635, 627, 12331, 220, 972, 11, 220, 679, 18, 2564, 1054, 791, 4208, 6137, 304, 856, 4156, 20085, 323, 9670, 304, 856, 1370, 9761, 2029, 1115, 5224, 922, 279, 1212, 323, 279, 842, 315, 279, 549, 815, 13, 16803, 5111, 574, 22066, 555, 10785, 1195, 12515, 27125, 279, 1212, 2216, 45479, 13, 8279, 466, 477, 622, 13, 46299, 25834, 389, 4960, 716, 596, 52650, 477, 279, 11039, 304, 20754, 13, 3277, 1550, 279, 12324, 2216, 842, 30, 358, 1097, 539, 7556, 2564, 128001, 128000, 2746, 1070, 1051, 912, 3622, 7187, 13693, 13085, 3794, 1167, 52625, 220, 1187, 14, 22, 422, 499, 802, 406, 304, 279, 1455, 35459, 37480, 13, 8588, 13693, 527, 1070, 311, 1304, 279, 1847, 24770, 13, 18715, 814, 1053, 1120, 5376, 1124, 682, 719, 430, 4131, 520, 264, 2853, 315, 12035, 323, 3241, 11850, 430, 34494, 323, 433, 2643, 539, 387, 5922, 433, 311, 636, 279, 1455, 11646, 7241, 323, 13709, 311, 617, 264, 5190, 35459, 3622, 13, 12361, 3515, 264, 11298, 4017, 449, 11298, 7241, 374, 4762, 279, 1455, 2853, 7524, 1749, 814, 617, 13, 128001 ]
[ -100, 16834, 279, 6300, 9071, 3645, 3727, 701, 4652, 1427, 810, 6721, 304, 2978, 323, 520, 990, 11, 584, 527, 2631, 311, 1005, 264, 3738, 3645, 994, 4477, 13, 386, 4355, 3645, 320, 4291, 3187, 8, 296, 4355, 3645, 1521, 10886, 527, 7633, 304, 279, 296, 4355, 76349, 369, 16483, 315, 3495, 16064, 7231, 701, 9071, 264, 6300, 6932, 13, 362, 11670, 3645, 369, 62644, 374, 279, 4330, 12, 28827, 9071, 433, 374, 539, 279, 1193, 3645, 369, 4477, 459, 9071, 11, 315, 3388, 11, 719, 433, 374, 264, 5505, 1646, 369, 499, 311, 2567, 304, 13, 386, 4355, 9071, 3645, 25, 10631, 369, 4477, 3495, 23691, 1475, 296, 4355, 1742, 9071, 690, 3041, 499, 459, 15632, 430, 5039, 6300, 39242, 11, 1606, 499, 617, 264, 11944, 13, 15281, 922, 9071, 21782, 3645, 323, 9071, 21782, 6070, 11, 3477, 9071, 21782, 3896, 11, 9071, 21782, 6205, 323, 594, 261, 331, 21782, 6205, 13, 1115, 1450, 412, 5825, 11944, 2038, 922, 1268, 311, 3350, 3495, 16064, 2737, 25394, 3495, 16064, 439, 264, 17779, 11, 19301, 13650, 11, 323, 9455, 8336, 627, 1360, 716, 7926, 9071, 3645, 10507, 8336, 499, 1935, 439, 264, 8197, 520, 279, 6300, 315, 17649, 3495, 779, 439, 539, 311, 10894, 6300, 3062, 3649, 13, 1556, 3187, 315, 6300, 4477, 505, 264, 5575, 3495, 5684, 279, 3645, 6982, 374, 422, 499, 527, 1701, 459, 3187, 315, 6300, 4477, 505, 264, 5575, 3495, 13, 2057, 3350, 264, 6300, 9071, 832, 3966, 311, 617, 6070, 315, 3463, 279, 6070, 374, 279, 3645, 323, 279, 2262, 374, 8996, 499, 3350, 36051, 287, 311, 279, 9071, 3645, 627, 96609, 3495, 4860, 430, 1436, 387, 19089, 304, 3938, 11028, 315, 420, 5684, 323, 315, 296, 4355, 1742, 17959, 279, 6111, 66, 2442, 683, 14646, 11, 477, 6111, 66, 13, 13822, 304, 420, 5684, 584, 690, 13488, 1268, 311, 10489, 3645, 459, 10489, 3645, 459, 61693, 1742, 5684, 30063, 4221, 9071, 304, 13443, 323, 3495, 13, 1115, 2007, 16964, 1268, 311, 3645, 701, 3495, 5684, 1701, 3060, 279, 296, 4355, 477, 61693, 17959, 387, 2771, 311, 1833, 904, 5217, 11470, 430, 701, 11326, 5825, 627, 8586, 499, 3358, 1505, 279, 32874, 369, 37666, 264, 3495, 5684, 323, 1148, 13146, 311, 3645, 701, 6300, 37666, 17850, 477, 264, 4382, 220, 20, 12, 28827, 9071, 13, 65658, 61693, 3645, 9071, 4236, 304, 16627, 9071, 389, 27823, 6603, 3495, 11, 369, 8830, 1603, 6300, 61693, 3645, 9071, 35359, 1413, 41300, 430, 527, 13, 2650, 311, 3645, 459, 9071, 25, 296, 4355, 11, 61693, 11, 93308, 1742, 90111, 220, 508, 11, 220, 679, 22, 9071, 4477, 10631, 11, 5410, 9071, 3645, 323, 80184, 264, 6300, 3495, 9071, 3645, 13, 6498, 18528, 220, 16, 279, 6300, 3645, 369, 23691, 5398, 2163, 25, 279, 1495, 315, 701, 9071, 1288, 387, 32393, 709, 42147, 520, 279, 2163, 4850, 719, 539, 520, 279, 1314, 4850, 627, 791, 17139, 8641, 311, 4477, 4832, 3495, 16064, 459, 9071, 11, 264, 3495, 477, 4751, 5684, 1550, 602, 3240, 1855, 14646, 449, 264, 6300, 8712, 11914, 220, 17, 13, 2650, 311, 3350, 264, 3495, 9071, 422, 499, 527, 12893, 264, 3230, 3645, 11, 499, 2011, 1935, 2512, 311, 49553, 311, 17959, 369, 1495, 37666, 323, 52946, 13, 2650, 311, 3350, 264, 3495, 5684, 994, 4477, 304, 61693, 3645, 499, 2011, 31335, 701, 5684, 555, 70552, 2737, 279, 1268, 311, 3350, 264, 3495, 9071, 1268, 311, 6516, 128001, -100, 87614, 41405, 7029, 14291, 75982, 40692, 374, 44378, 369, 7418, 596, 1847, 2403, 279, 13030, 45267, 4245, 311, 264, 98875, 26800, 11, 4184, 311, 27290, 19051, 13, 40692, 574, 5762, 704, 315, 6740, 596, 6725, 1306, 36666, 682, 2046, 13, 1283, 374, 11846, 311, 617, 16654, 279, 11134, 520, 1063, 1486, 389, 6740, 627, 2746, 40692, 1051, 311, 3194, 279, 1847, 11, 16768, 41937, 1169, 770, 1053, 1212, 304, 813, 2035, 14329, 36303, 19816, 11, 889, 9731, 311, 387, 46376, 555, 264, 37628, 3252, 90805, 11134, 627, 57634, 6539, 29680, 25, 1115, 11134, 1436, 539, 2586, 520, 264, 11201, 892, 369, 75982, 40692, 11, 889, 1253, 387, 5737, 279, 1888, 9141, 315, 813, 7076, 6051, 13, 4740, 264, 9024, 11, 220, 1041, 37839, 1847, 1603, 279, 54141, 2046, 11, 40692, 3782, 704, 323, 16957, 1403, 43879, 1566, 2046, 2403, 279, 24899, 48580, 627, 33, 894, 519, 706, 279, 36941, 311, 387, 264, 1948, 5899, 18884, 7029, 14291, 2133, 4741, 11, 3984, 568, 649, 4822, 9498, 13, 2684, 374, 91866, 264, 6689, 568, 11335, 389, 7418, 11, 779, 1541, 956, 6958, 1461, 505, 701, 18884, 28612, 1120, 3686, 13, 1442, 568, 29972, 311, 7937, 709, 11, 279, 41405, 6, 12579, 3440, 706, 459, 9250, 45937, 2403, 279, 13030, 45267, 13, 128001, -100, 27, 876, 1284, 1590, 29, 1041, 15, 17359, 475, 20499, 198, 1527, 20499, 1179, 8018, 271, 475, 61836, 18, 198, 1527, 61836, 18, 32953, 37058, 1179, 13749, 6777, 37058, 1432, 81059, 6777, 37058, 31489, 49776, 30808, 25967, 4813, 16, 340, 755, 1296, 11959, 9353, 16, 4019, 262, 1522, 1432, 81059, 6777, 37058, 31489, 49776, 30808, 25967, 4813, 17, 340, 755, 1296, 11959, 9353, 17, 4019, 262, 1522, 1432, 1058, 2722, 37058, 2323, 38278, 32463, 997, 262, 711, 19133, 1214, 997, 286, 2307, 1020, 63952, 2892, 286, 11140, 261, 284, 8018, 27799, 493, 447, 3036, 18, 32953, 37058, 21721, 6777, 37058, 23616, 11959, 16330, 1329, 286, 659, 15418, 15157, 11959, 16330, 284, 11140, 261, 5069, 746, 286, 659, 1388, 68435, 1319, 29158, 13530, 696, 262, 711, 1296, 12596, 851, 1214, 997, 286, 3270, 286, 9343, 3110, 27656, 279, 1890, 4028, 279, 6880, 627, 286, 3270, 286, 1296, 11959, 9353, 16, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 16, 11, 8018, 885, 23923, 340, 286, 3882, 851, 284, 659, 15418, 15157, 11959, 16330, 8692, 8550, 58, 15, 1483, 16, 2595, 286, 659, 15418, 15157, 11959, 16330, 14178, 35234, 746, 286, 1296, 11959, 9353, 17, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 17, 11, 3882, 851, 696, 262, 711, 1296, 12596, 19520, 12596, 851, 1214, 997, 286, 1296, 11959, 9353, 16, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 16, 11, 8018, 885, 23923, 340, 286, 3882, 851, 284, 659, 15418, 15157, 11959, 16330, 8692, 8550, 58, 15, 1483, 16, 2595, 286, 659, 15418, 15157, 11959, 16330, 14178, 35234, 746, 286, 61836, 18, 32953, 37058, 14178, 12596, 851, 746, 286, 1296, 11959, 9353, 17, 746, 286, 659, 15418, 15157, 11959, 16330, 3798, 28959, 7785, 6753, 31489, 49776, 30808, 25967, 4813, 17, 11, 8018, 885, 23923, 340, 286, 502, 12596, 851, 284, 659, 15418, 15157, 11959, 16330, 8692, 8550, 58, 15, 1483, 16, 2595, 286, 2105, 502, 12596, 851, 976, 3882, 851, 198, 128001, -100, 791, 3778, 16803, 5111, 574, 21095, 304, 279, 3723, 4273, 505, 220, 9714, 16, 311, 220, 9714, 20, 13, 578, 1121, 315, 264, 22666, 6104, 279, 6411, 4208, 574, 5108, 311, 459, 842, 11, 279, 5054, 312, 61268, 315, 279, 7140, 574, 311, 68229, 2468, 279, 1212, 315, 279, 8431, 4208, 11, 264, 1887, 315, 1370, 7298, 24026, 627, 791, 8431, 4208, 574, 21095, 1990, 220, 9714, 16, 323, 220, 9714, 20, 323, 36513, 220, 19, 1667, 13, 2564, 578, 1455, 3629, 22628, 4033, 2457, 315, 279, 842, 315, 279, 8431, 4208, 374, 5936, 220, 24, 11, 220, 9714, 20, 994, 3331, 12515, 1383, 279, 842, 315, 279, 4208, 11, 279, 71075, 315, 28240, 315, 4208, 389, 2225, 11314, 1047, 3719, 76367, 13118, 13, 63294, 315, 9424, 700, 5079, 8636, 304, 279, 43318, 3190, 520, 65329, 9008, 11, 1561, 12515, 21383, 220, 717, 11, 220, 679, 20, 2564, 3861, 89544, 11463, 1122, 32126, 279, 16803, 5111, 3240, 304, 813, 9979, 323, 842, 304, 813, 4156, 1370, 9761, 627, 21383, 220, 717, 11, 220, 3753, 16, 2564, 1952, 420, 1938, 304, 11346, 11, 578, 16803, 5111, 12302, 389, 5186, 220, 717, 11, 220, 9714, 16, 13, 2564, 311, 42592, 88471, 11, 1202, 1176, 2536, 5364, 494, 263, 19582, 11, 902, 17738, 279, 842, 315, 279, 779, 19434, 1054, 61220, 1494, 5111, 13, 2564, 16844, 11, 264, 13286, 10068, 11, 3287, 956, 1212, 5737, 17057, 627, 644, 459, 1567, 430, 374, 8965, 27458, 439, 36024, 279, 842, 315, 279, 16803, 5111, 11, 57457, 3331, 71911, 58811, 9259, 11, 29094, 315, 57457, 8603, 9909, 315, 12515, 21383, 220, 24, 11, 220, 679, 20, 2564, 763, 5936, 220, 9714, 20, 9500, 13, 8563, 469, 13, 12336, 25139, 303, 388, 311, 9500, 13, 549, 398, 784, 288, 328, 13, 24668, 11, 12967, 459, 842, 311, 279, 16803, 5111, 1306, 3116, 1667, 315, 8209, 13, 8377, 26, 356, 635, 627, 12331, 220, 972, 11, 220, 679, 18, 2564, 1054, 791, 4208, 6137, 304, 856, 4156, 20085, 323, 9670, 304, 856, 1370, 9761, 2029, 1115, 5224, 922, 279, 1212, 323, 279, 842, 315, 279, 549, 815, 13, 16803, 5111, 574, 22066, 555, 10785, 1195, 12515, 27125, 279, 1212, 2216, 45479, 13, 8279, 466, 477, 622, 13, 46299, 25834, 389, 4960, 716, 596, 52650, 477, 279, 11039, 304, 20754, 13, 3277, 1550, 279, 12324, 2216, 842, 30, 358, 1097, 539, 7556, 2564, 128001, -100, 2746, 1070, 1051, 912, 3622, 7187, 13693, 13085, 3794, 1167, 52625, 220, 1187, 14, 22, 422, 499, 802, 406, 304, 279, 1455, 35459, 37480, 13, 8588, 13693, 527, 1070, 311, 1304, 279, 1847, 24770, 13, 18715, 814, 1053, 1120, 5376, 1124, 682, 719, 430, 4131, 520, 264, 2853, 315, 12035, 323, 3241, 11850, 430, 34494, 323, 433, 2643, 539, 387, 5922, 433, 311, 636, 279, 1455, 11646, 7241, 323, 13709, 311, 617, 264, 5190, 35459, 3622, 13, 12361, 3515, 264, 11298, 4017, 449, 11298, 7241, 374, 4762, 279, 1455, 2853, 7524, 1749, 814, 617, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96 ]
[ 128000, 2127, 18699, 10824, 315, 4212, 54, 7403, 8245, 8771, 5557, 323, 279, 3851, 315, 8162, 3311, 34873, 25, 4212, 54, 7403, 43480, 374, 264, 3308, 8105, 6593, 3756, 369, 1005, 555, 6593, 15749, 304, 264, 18985, 6376, 369, 6373, 315, 30883, 323, 21249, 6784, 11, 7319, 35855, 11, 323, 16124, 43685, 13, 1102, 1101, 5764, 4212, 54, 7403, 753, 30440, 1534, 18654, 3311, 35132, 6072, 311, 7417, 8893, 57930, 627, 16, 791, 34873, 11, 8250, 11, 11900, 11, 21261, 323, 36048, 315, 279, 7620, 527, 3196, 389, 279, 15325, 3217, 315, 279, 11909, 889, 3549, 1124, 13, 2435, 617, 539, 1027, 11007, 555, 9678, 7978, 627, 791, 30440, 1534, 18654, 3311, 43480, 320, 1829, 37, 8, 3851, 315, 279, 4212, 54, 7403, 43480, 1887, 374, 18699, 25, 578, 1887, 31859, 27667, 279, 34873, 311, 387, 9435, 304, 1972, 892, 323, 31978, 39732, 2641, 1124, 311, 279, 8893, 2391, 3851, 627, 2409, 279, 58081, 6492, 734, 11, 279, 1887, 86281, 279, 8250, 315, 279, 20081, 11900, 18545, 311, 279, 8893, 323, 12621, 279, 5208, 315, 279, 9435, 34873, 13, 2468, 279, 8475, 1486, 304, 892, 11, 279, 1887, 9651, 32267, 311, 279, 1828, 11900, 323, 17208, 433, 3156, 433, 374, 912, 5129, 2631, 627, 17, 1054, 44259, 1534, 18654, 3311, 35132, 6072, 863, 27179, 1829, 37, 33611, 374, 264, 34333, 5557, 315, 4212, 54, 7403, 13, 1102, 5829, 279, 828, 505, 264, 7106, 12248, 14143, 311, 9993, 264, 10844, 311, 34873, 430, 6721, 3932, 529, 3217, 15151, 617, 279, 8592, 41961, 369, 279, 1217, 13, 578, 30440, 1534, 18654, 3311, 43480, 320, 1829, 37, 8, 7620, 527, 6319, 311, 1862, 57930, 1555, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 627, 1489, 54, 7403, 8245, 8771, 5557, 18, 374, 6319, 311, 24564, 36576, 323, 958, 86924, 389, 459, 14604, 323, 46417, 2237, 323, 311, 18249, 553, 1124, 555, 3445, 315, 3230, 2038, 323, 43524, 367, 12912, 304, 279, 8245, 8771, 627, 18, 8245, 8771, 5557, 374, 264, 34333, 5557, 315, 4212, 54, 7403, 13, 1102, 374, 3196, 389, 279, 10334, 430, 279, 8245, 8771, 374, 279, 2536, 68418, 3158, 1555, 902, 9090, 323, 5030, 19570, 13, 1102, 27053, 1148, 584, 2980, 311, 387, 279, 18330, 7438, 315, 2324, 4455, 13, 578, 14209, 315, 1778, 264, 2115, 374, 14407, 304, 12624, 17649, 627, 791, 4212, 54, 7403, 43480, 82814, 43330, 1887, 374, 2225, 264, 3756, 323, 264, 1749, 13, 83358, 82814, 43330, 11, 423, 732, 13, 374, 37048, 15603, 439, 264, 54047, 315, 19091, 11900, 3851, 11, 5423, 304, 279, 2115, 315, 15022, 10034, 323, 737, 76527, 304, 279, 24432, 804, 36324, 8771, 627, 791, 1455, 3062, 32885, 315, 1077, 1749, 11, 304, 1005, 369, 927, 220, 508, 1667, 11, 617, 1027, 30464, 311, 279, 4212, 54, 7403, 43480, 1887, 323, 279, 1121, 374, 279, 4212, 54, 7403, 43480, 82814, 43330, 1887, 13, 9062, 315, 1521, 32885, 5727, 3230, 11900, 13840, 430, 2744, 15575, 279, 1890, 6070, 25, 578, 1176, 11900, 374, 5552, 311, 279, 7580, 11, 369, 3187, 16595, 4954, 13, 578, 2132, 11900, 19170, 279, 2218, 11, 369, 3187, 279, 24432, 804, 36324, 8771, 315, 264, 10496, 627, 1489, 54, 7403, 43480, 11, 1694, 264, 7447, 59338, 1887, 11, 706, 264, 2134, 315, 8522, 11, 20444, 4212, 54, 7403, 43480, 82814, 43330, 46672, 304, 18249, 4954, 279, 24432, 804, 36324, 8771, 315, 35358, 323, 25896, 555, 1701, 72067, 320, 39714, 29362, 18654, 3311, 570, 11995, 8522, 320, 44259, 1534, 18654, 3311, 35132, 6072, 323, 43480, 29362, 18654, 3311, 8, 649, 387, 24026, 389, 279, 1890, 4212, 54, 7403, 43480, 3756, 627, 19, 1054, 39714, 29362, 18654, 3311, 863, 27179, 8653, 44, 33611, 374, 264, 34333, 3941, 315, 1957, 1511, 555, 4212, 54, 7403, 13, 1102, 5829, 1403, 16674, 304, 15638, 311, 30382, 11900, 1491, 7913, 8162, 3311, 311, 279, 3016, 4669, 80390, 13, 578, 11900, 13840, 11, 8250, 11, 11900, 11, 21261, 323, 36048, 315, 279, 7620, 527, 3196, 389, 279, 15325, 3217, 315, 279, 11909, 889, 3549, 1124, 627, 791, 11900, 7620, 527, 6319, 311, 1862, 57930, 1555, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 13, 4212, 54, 7403, 706, 13375, 653, 2067, 17003, 1603, 14, 10924, 32313, 304, 14400, 323, 47341, 5315, 315, 13324, 13, 4314, 32313, 4284, 430, 279, 13324, 529, 57930, 574, 5190, 1306, 279, 3851, 13, 1226, 7180, 420, 311, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 11, 902, 584, 8464, 311, 439, 279, 4907, 6530, 315, 2324, 11, 36342, 1101, 2663, 26883, 320, 269, 75205, 8, 323, 550, 3444, 13, 1115, 706, 539, 1027, 11007, 555, 9678, 7978, 627, 791, 4212, 54, 7403, 43480, 1887, 374, 3196, 389, 279, 4113, 4212, 54, 7403, 7434, 323, 1887, 11, 8040, 555, 36783, 5124, 74696, 441, 11, 279, 72001, 315, 8245, 8771, 5557, 627, 7229, 773, 36554, 32185, 323, 11900, 3851, 6335, 452, 16711, 64988, 374, 279, 7690, 315, 3892, 8936, 1413, 16088, 44335, 11, 58394, 304, 2849, 34458, 13, 1283, 20276, 220, 8929, 11, 931, 779, 19434, 7573, 35132, 6072, 304, 813, 990, 323, 12893, 1124, 311, 3230, 4787, 13, 5414, 990, 1946, 1392, 323, 31003, 279, 5557, 315, 279, 4212, 54, 7403, 43480, 1887, 627, 94372, 1910, 82814, 43330, 11, 423, 732, 13, 374, 459, 3778, 11326, 11, 32185, 323, 54047, 315, 75387, 19091, 11900, 8522, 11, 61937, 72067, 320, 39714, 29362, 18654, 3311, 570, 6385, 990, 323, 6677, 315, 927, 220, 914, 1667, 1376, 279, 8197, 315, 279, 4212, 54, 7403, 43480, 82814, 43330, 1887, 627, 791, 4212, 54, 7403, 43480, 1887, 574, 8040, 555, 36783, 5124, 74696, 441, 11, 279, 72001, 315, 8245, 8771, 5557, 11, 323, 43288, 452, 16711, 64988, 11, 279, 7690, 315, 8254, 8936, 1413, 16088, 44335, 323, 264, 24687, 304, 2849, 34458, 627, 45, 16711, 64988, 706, 20276, 220, 8929, 11, 931, 779, 19434, 6761, 34873, 304, 813, 990, 323, 12893, 1124, 311, 3230, 4787, 627, 791, 4212, 54, 7403, 43480, 1887, 52956, 701, 3927, 37471, 20326, 13, 1472, 690, 387, 7396, 323, 584, 4510, 701, 6978, 690, 8935, 505, 1057, 18699, 5528, 13, 578, 7029, 2134, 315, 8522, 323, 279, 12387, 2671, 3085, 1475, 1217, 264, 15525, 9070, 323, 5369, 311, 872, 1866, 2134, 315, 3600, 323, 459, 4228, 18052, 1139, 872, 6484, 29388, 627, 24798, 279, 25530, 5865, 315, 4212, 54, 7403, 5557, 11, 279, 4553, 29388, 649, 387, 28598, 323, 20276, 304, 3927, 8893, 19440, 32885, 13, 578, 1887, 29235, 11618, 279, 5370, 11900, 24630, 1701, 1202, 33762, 5865, 13, 1472, 1193, 1205, 311, 1817, 279, 2704, 323, 5208, 315, 279, 3851, 505, 892, 311, 892, 627, 791, 4212, 54, 7403, 43480, 1887, 5764, 1690, 7620, 11, 17057, 555, 3917, 11, 3361, 13761, 369, 42118, 279, 1455, 14791, 34873, 11, 323, 927, 220, 1135, 11, 931, 11900, 32906, 11, 12893, 311, 5370, 13650, 627, 791, 18979, 315, 2849, 39654, 22465, 706, 1027, 11054, 439, 264, 1925, 5353, 315, 1690, 737, 76527, 13, 578, 6913, 17966, 315, 4212, 54, 7403, 43480, 3851, 374, 3196, 389, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 627, 2746, 34873, 527, 279, 4221, 315, 10758, 520, 279, 35693, 2237, 11, 433, 11263, 430, 1690, 737, 76527, 304, 279, 24432, 804, 36324, 8771, 649, 387, 18249, 1534, 555, 11951, 323, 32399, 4183, 60701, 323, 34873, 13, 578, 8197, 315, 420, 10334, 374, 430, 3738, 34873, 649, 387, 60826, 12893, 311, 3738, 13650, 13, 2724, 3217, 922, 902, 34873, 1288, 387, 9435, 369, 902, 1162, 706, 1027, 264, 3682, 8331, 304, 279, 4500, 315, 279, 4212, 54, 7403, 43480, 1887, 627, 791, 8245, 8771, 14026, 374, 6319, 311, 24564, 36576, 323, 4754, 958, 51086, 304, 279, 8245, 8771, 13, 763, 1057, 3217, 11, 433, 374, 264, 1695, 18459, 369, 279, 11900, 3851, 323, 374, 459, 36256, 961, 315, 279, 4212, 54, 7403, 43480, 1887, 627, 2181, 8779, 499, 311, 24564, 902, 34873, 527, 12090, 369, 264, 3230, 3851, 323, 4128, 31342, 922, 3284, 69916, 1766, 304, 279, 8245, 8771, 13, 1115, 1288, 7431, 499, 311, 18249, 553, 279, 24432, 804, 36324, 8771, 315, 701, 6978, 555, 19486, 1884, 34873, 627, 644, 5369, 11, 279, 4212, 54, 7403, 43480, 1887, 86281, 11, 2949, 279, 8245, 8771, 11, 902, 6928, 2038, 1436, 387, 5505, 11, 323, 22014, 420, 2038, 1139, 279, 8245, 8771, 627, 20, 578, 2262, 315, 279, 4212, 54, 7403, 43480, 32906, 374, 3196, 389, 279, 15325, 3217, 315, 279, 11909, 889, 3549, 1124, 13, 2435, 617, 539, 1027, 11007, 555, 9678, 7978, 627, 35293, 25, 578, 6492, 323, 18249, 2065, 304, 279, 8245, 8771, 374, 539, 10825, 311, 27208, 11, 4322, 11, 50460, 11, 58681, 477, 5471, 904, 8624, 477, 6593, 3044, 13, 1102, 374, 10825, 311, 3041, 279, 6721, 1217, 279, 3072, 11, 304, 264, 61876, 2317, 11, 311, 43530, 11190, 2038, 505, 14955, 505, 279, 8245, 8771, 13, 9062, 6721, 1217, 1288, 15806, 11, 3196, 389, 872, 1866, 3217, 11, 3508, 279, 3851, 374, 5505, 304, 872, 6725, 627, 791, 30440, 1534, 18654, 3311, 43480, 320, 1829, 37, 8, 323, 43480, 29362, 18654, 3311, 320, 8653, 44, 8, 7620, 315, 279, 4212, 54, 7403, 43480, 1887, 527, 539, 10825, 311, 27208, 11, 4322, 11, 50460, 11, 58681, 11, 477, 5471, 904, 8624, 477, 6593, 3044, 13, 578, 3878, 1511, 304, 279, 7620, 11, 32906, 323, 13761, 656, 539, 35256, 12518, 18815, 872, 6372, 13, 8245, 505, 279, 4212, 54, 7403, 1887, 1288, 2744, 387, 41440, 29440, 323, 11, 422, 5995, 11, 24884, 449, 4726, 16346, 13, 578, 4212, 54, 7403, 43480, 1887, 1288, 2744, 387, 1511, 2949, 279, 7036, 315, 279, 1217, 753, 6721, 6725, 11, 5842, 477, 28706, 323, 304, 18859, 449, 279, 39397, 369, 5560, 323, 2883, 10039, 44057, 11630, 13, 578, 1005, 315, 279, 4212, 54, 7403, 43480, 1887, 1288, 539, 387, 12020, 439, 264, 28779, 369, 264, 28378, 753, 9650, 11, 23842, 477, 5873, 315, 15419, 13, 578, 12014, 369, 279, 4495, 23842, 323, 15419, 2744, 15812, 449, 279, 6593, 6721, 13, 578, 7580, 315, 279, 2027, 374, 311, 3493, 279, 6721, 1217, 449, 264, 5507, 311, 13488, 3851, 2671, 13, 128001, 128000, 27, 265, 621, 373, 29, 12555, 16939, 1609, 5433, 198, 12885, 4066, 538, 369, 33242, 1286, 2642, 5502, 30284, 1527, 264, 290, 276, 1286, 2642, 1179, 33242, 1286, 2642, 271, 1527, 2162, 78191, 48914, 9926, 1179, 14227, 1767, 198, 1527, 2162, 78191, 48914, 5430, 11647, 17900, 1179, 2456, 262, 43424, 3106, 345, 262, 2956, 4387, 65404, 345, 696, 1527, 662, 1040, 1179, 85686, 1432, 1058, 33242, 1286, 2642, 3106, 3100, 78, 17900, 3106, 997, 262, 4304, 57003, 315, 264, 33242, 1286, 2642, 5502, 30284, 262, 711, 1328, 2381, 3889, 726, 11, 20622, 1286, 2642, 25, 33242, 1286, 2642, 11, 31384, 25, 2956, 4387, 65404, 8, 1492, 2290, 512, 286, 4304, 10130, 459, 33242, 1286, 2642, 5502, 14781, 286, 2307, 27604, 2381, 3889, 1030, 17900, 340, 286, 659, 1462, 19285, 1286, 2642, 284, 20622, 1286, 2642, 198, 286, 659, 1462, 3064, 9385, 3186, 284, 14227, 1767, 1021, 310, 48316, 17237, 58225, 11, 20622, 1286, 2642, 30918, 6673, 40881, 310, 14290, 28, 19285, 1286, 2642, 21697, 32645, 345, 310, 1646, 28, 19285, 1286, 2642, 3272, 345, 310, 836, 28, 19285, 1286, 2642, 2710, 345, 310, 2064, 9625, 28, 19285, 1286, 2642, 840, 54360, 9625, 345, 310, 6683, 2975, 18603, 78032, 82876, 19285, 1286, 2642, 18320, 25374, 286, 1763, 128001 ]
[ -100, 2127, 18699, 10824, 315, 4212, 54, 7403, 8245, 8771, 5557, 323, 279, 3851, 315, 8162, 3311, 34873, 25, 4212, 54, 7403, 43480, 374, 264, 3308, 8105, 6593, 3756, 369, 1005, 555, 6593, 15749, 304, 264, 18985, 6376, 369, 6373, 315, 30883, 323, 21249, 6784, 11, 7319, 35855, 11, 323, 16124, 43685, 13, 1102, 1101, 5764, 4212, 54, 7403, 753, 30440, 1534, 18654, 3311, 35132, 6072, 311, 7417, 8893, 57930, 627, 16, 791, 34873, 11, 8250, 11, 11900, 11, 21261, 323, 36048, 315, 279, 7620, 527, 3196, 389, 279, 15325, 3217, 315, 279, 11909, 889, 3549, 1124, 13, 2435, 617, 539, 1027, 11007, 555, 9678, 7978, 627, 791, 30440, 1534, 18654, 3311, 43480, 320, 1829, 37, 8, 3851, 315, 279, 4212, 54, 7403, 43480, 1887, 374, 18699, 25, 578, 1887, 31859, 27667, 279, 34873, 311, 387, 9435, 304, 1972, 892, 323, 31978, 39732, 2641, 1124, 311, 279, 8893, 2391, 3851, 627, 2409, 279, 58081, 6492, 734, 11, 279, 1887, 86281, 279, 8250, 315, 279, 20081, 11900, 18545, 311, 279, 8893, 323, 12621, 279, 5208, 315, 279, 9435, 34873, 13, 2468, 279, 8475, 1486, 304, 892, 11, 279, 1887, 9651, 32267, 311, 279, 1828, 11900, 323, 17208, 433, 3156, 433, 374, 912, 5129, 2631, 627, 17, 1054, 44259, 1534, 18654, 3311, 35132, 6072, 863, 27179, 1829, 37, 33611, 374, 264, 34333, 5557, 315, 4212, 54, 7403, 13, 1102, 5829, 279, 828, 505, 264, 7106, 12248, 14143, 311, 9993, 264, 10844, 311, 34873, 430, 6721, 3932, 529, 3217, 15151, 617, 279, 8592, 41961, 369, 279, 1217, 13, 578, 30440, 1534, 18654, 3311, 43480, 320, 1829, 37, 8, 7620, 527, 6319, 311, 1862, 57930, 1555, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 627, 1489, 54, 7403, 8245, 8771, 5557, 18, 374, 6319, 311, 24564, 36576, 323, 958, 86924, 389, 459, 14604, 323, 46417, 2237, 323, 311, 18249, 553, 1124, 555, 3445, 315, 3230, 2038, 323, 43524, 367, 12912, 304, 279, 8245, 8771, 627, 18, 8245, 8771, 5557, 374, 264, 34333, 5557, 315, 4212, 54, 7403, 13, 1102, 374, 3196, 389, 279, 10334, 430, 279, 8245, 8771, 374, 279, 2536, 68418, 3158, 1555, 902, 9090, 323, 5030, 19570, 13, 1102, 27053, 1148, 584, 2980, 311, 387, 279, 18330, 7438, 315, 2324, 4455, 13, 578, 14209, 315, 1778, 264, 2115, 374, 14407, 304, 12624, 17649, 627, 791, 4212, 54, 7403, 43480, 82814, 43330, 1887, 374, 2225, 264, 3756, 323, 264, 1749, 13, 83358, 82814, 43330, 11, 423, 732, 13, 374, 37048, 15603, 439, 264, 54047, 315, 19091, 11900, 3851, 11, 5423, 304, 279, 2115, 315, 15022, 10034, 323, 737, 76527, 304, 279, 24432, 804, 36324, 8771, 627, 791, 1455, 3062, 32885, 315, 1077, 1749, 11, 304, 1005, 369, 927, 220, 508, 1667, 11, 617, 1027, 30464, 311, 279, 4212, 54, 7403, 43480, 1887, 323, 279, 1121, 374, 279, 4212, 54, 7403, 43480, 82814, 43330, 1887, 13, 9062, 315, 1521, 32885, 5727, 3230, 11900, 13840, 430, 2744, 15575, 279, 1890, 6070, 25, 578, 1176, 11900, 374, 5552, 311, 279, 7580, 11, 369, 3187, 16595, 4954, 13, 578, 2132, 11900, 19170, 279, 2218, 11, 369, 3187, 279, 24432, 804, 36324, 8771, 315, 264, 10496, 627, 1489, 54, 7403, 43480, 11, 1694, 264, 7447, 59338, 1887, 11, 706, 264, 2134, 315, 8522, 11, 20444, 4212, 54, 7403, 43480, 82814, 43330, 46672, 304, 18249, 4954, 279, 24432, 804, 36324, 8771, 315, 35358, 323, 25896, 555, 1701, 72067, 320, 39714, 29362, 18654, 3311, 570, 11995, 8522, 320, 44259, 1534, 18654, 3311, 35132, 6072, 323, 43480, 29362, 18654, 3311, 8, 649, 387, 24026, 389, 279, 1890, 4212, 54, 7403, 43480, 3756, 627, 19, 1054, 39714, 29362, 18654, 3311, 863, 27179, 8653, 44, 33611, 374, 264, 34333, 3941, 315, 1957, 1511, 555, 4212, 54, 7403, 13, 1102, 5829, 1403, 16674, 304, 15638, 311, 30382, 11900, 1491, 7913, 8162, 3311, 311, 279, 3016, 4669, 80390, 13, 578, 11900, 13840, 11, 8250, 11, 11900, 11, 21261, 323, 36048, 315, 279, 7620, 527, 3196, 389, 279, 15325, 3217, 315, 279, 11909, 889, 3549, 1124, 627, 791, 11900, 7620, 527, 6319, 311, 1862, 57930, 1555, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 13, 4212, 54, 7403, 706, 13375, 653, 2067, 17003, 1603, 14, 10924, 32313, 304, 14400, 323, 47341, 5315, 315, 13324, 13, 4314, 32313, 4284, 430, 279, 13324, 529, 57930, 574, 5190, 1306, 279, 3851, 13, 1226, 7180, 420, 311, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 11, 902, 584, 8464, 311, 439, 279, 4907, 6530, 315, 2324, 11, 36342, 1101, 2663, 26883, 320, 269, 75205, 8, 323, 550, 3444, 13, 1115, 706, 539, 1027, 11007, 555, 9678, 7978, 627, 791, 4212, 54, 7403, 43480, 1887, 374, 3196, 389, 279, 4113, 4212, 54, 7403, 7434, 323, 1887, 11, 8040, 555, 36783, 5124, 74696, 441, 11, 279, 72001, 315, 8245, 8771, 5557, 627, 7229, 773, 36554, 32185, 323, 11900, 3851, 6335, 452, 16711, 64988, 374, 279, 7690, 315, 3892, 8936, 1413, 16088, 44335, 11, 58394, 304, 2849, 34458, 13, 1283, 20276, 220, 8929, 11, 931, 779, 19434, 7573, 35132, 6072, 304, 813, 990, 323, 12893, 1124, 311, 3230, 4787, 13, 5414, 990, 1946, 1392, 323, 31003, 279, 5557, 315, 279, 4212, 54, 7403, 43480, 1887, 627, 94372, 1910, 82814, 43330, 11, 423, 732, 13, 374, 459, 3778, 11326, 11, 32185, 323, 54047, 315, 75387, 19091, 11900, 8522, 11, 61937, 72067, 320, 39714, 29362, 18654, 3311, 570, 6385, 990, 323, 6677, 315, 927, 220, 914, 1667, 1376, 279, 8197, 315, 279, 4212, 54, 7403, 43480, 82814, 43330, 1887, 627, 791, 4212, 54, 7403, 43480, 1887, 574, 8040, 555, 36783, 5124, 74696, 441, 11, 279, 72001, 315, 8245, 8771, 5557, 11, 323, 43288, 452, 16711, 64988, 11, 279, 7690, 315, 8254, 8936, 1413, 16088, 44335, 323, 264, 24687, 304, 2849, 34458, 627, 45, 16711, 64988, 706, 20276, 220, 8929, 11, 931, 779, 19434, 6761, 34873, 304, 813, 990, 323, 12893, 1124, 311, 3230, 4787, 627, 791, 4212, 54, 7403, 43480, 1887, 52956, 701, 3927, 37471, 20326, 13, 1472, 690, 387, 7396, 323, 584, 4510, 701, 6978, 690, 8935, 505, 1057, 18699, 5528, 13, 578, 7029, 2134, 315, 8522, 323, 279, 12387, 2671, 3085, 1475, 1217, 264, 15525, 9070, 323, 5369, 311, 872, 1866, 2134, 315, 3600, 323, 459, 4228, 18052, 1139, 872, 6484, 29388, 627, 24798, 279, 25530, 5865, 315, 4212, 54, 7403, 5557, 11, 279, 4553, 29388, 649, 387, 28598, 323, 20276, 304, 3927, 8893, 19440, 32885, 13, 578, 1887, 29235, 11618, 279, 5370, 11900, 24630, 1701, 1202, 33762, 5865, 13, 1472, 1193, 1205, 311, 1817, 279, 2704, 323, 5208, 315, 279, 3851, 505, 892, 311, 892, 627, 791, 4212, 54, 7403, 43480, 1887, 5764, 1690, 7620, 11, 17057, 555, 3917, 11, 3361, 13761, 369, 42118, 279, 1455, 14791, 34873, 11, 323, 927, 220, 1135, 11, 931, 11900, 32906, 11, 12893, 311, 5370, 13650, 627, 791, 18979, 315, 2849, 39654, 22465, 706, 1027, 11054, 439, 264, 1925, 5353, 315, 1690, 737, 76527, 13, 578, 6913, 17966, 315, 4212, 54, 7403, 43480, 3851, 374, 3196, 389, 279, 18249, 2065, 315, 279, 24432, 804, 36324, 8771, 627, 2746, 34873, 527, 279, 4221, 315, 10758, 520, 279, 35693, 2237, 11, 433, 11263, 430, 1690, 737, 76527, 304, 279, 24432, 804, 36324, 8771, 649, 387, 18249, 1534, 555, 11951, 323, 32399, 4183, 60701, 323, 34873, 13, 578, 8197, 315, 420, 10334, 374, 430, 3738, 34873, 649, 387, 60826, 12893, 311, 3738, 13650, 13, 2724, 3217, 922, 902, 34873, 1288, 387, 9435, 369, 902, 1162, 706, 1027, 264, 3682, 8331, 304, 279, 4500, 315, 279, 4212, 54, 7403, 43480, 1887, 627, 791, 8245, 8771, 14026, 374, 6319, 311, 24564, 36576, 323, 4754, 958, 51086, 304, 279, 8245, 8771, 13, 763, 1057, 3217, 11, 433, 374, 264, 1695, 18459, 369, 279, 11900, 3851, 323, 374, 459, 36256, 961, 315, 279, 4212, 54, 7403, 43480, 1887, 627, 2181, 8779, 499, 311, 24564, 902, 34873, 527, 12090, 369, 264, 3230, 3851, 323, 4128, 31342, 922, 3284, 69916, 1766, 304, 279, 8245, 8771, 13, 1115, 1288, 7431, 499, 311, 18249, 553, 279, 24432, 804, 36324, 8771, 315, 701, 6978, 555, 19486, 1884, 34873, 627, 644, 5369, 11, 279, 4212, 54, 7403, 43480, 1887, 86281, 11, 2949, 279, 8245, 8771, 11, 902, 6928, 2038, 1436, 387, 5505, 11, 323, 22014, 420, 2038, 1139, 279, 8245, 8771, 627, 20, 578, 2262, 315, 279, 4212, 54, 7403, 43480, 32906, 374, 3196, 389, 279, 15325, 3217, 315, 279, 11909, 889, 3549, 1124, 13, 2435, 617, 539, 1027, 11007, 555, 9678, 7978, 627, 35293, 25, 578, 6492, 323, 18249, 2065, 304, 279, 8245, 8771, 374, 539, 10825, 311, 27208, 11, 4322, 11, 50460, 11, 58681, 477, 5471, 904, 8624, 477, 6593, 3044, 13, 1102, 374, 10825, 311, 3041, 279, 6721, 1217, 279, 3072, 11, 304, 264, 61876, 2317, 11, 311, 43530, 11190, 2038, 505, 14955, 505, 279, 8245, 8771, 13, 9062, 6721, 1217, 1288, 15806, 11, 3196, 389, 872, 1866, 3217, 11, 3508, 279, 3851, 374, 5505, 304, 872, 6725, 627, 791, 30440, 1534, 18654, 3311, 43480, 320, 1829, 37, 8, 323, 43480, 29362, 18654, 3311, 320, 8653, 44, 8, 7620, 315, 279, 4212, 54, 7403, 43480, 1887, 527, 539, 10825, 311, 27208, 11, 4322, 11, 50460, 11, 58681, 11, 477, 5471, 904, 8624, 477, 6593, 3044, 13, 578, 3878, 1511, 304, 279, 7620, 11, 32906, 323, 13761, 656, 539, 35256, 12518, 18815, 872, 6372, 13, 8245, 505, 279, 4212, 54, 7403, 1887, 1288, 2744, 387, 41440, 29440, 323, 11, 422, 5995, 11, 24884, 449, 4726, 16346, 13, 578, 4212, 54, 7403, 43480, 1887, 1288, 2744, 387, 1511, 2949, 279, 7036, 315, 279, 1217, 753, 6721, 6725, 11, 5842, 477, 28706, 323, 304, 18859, 449, 279, 39397, 369, 5560, 323, 2883, 10039, 44057, 11630, 13, 578, 1005, 315, 279, 4212, 54, 7403, 43480, 1887, 1288, 539, 387, 12020, 439, 264, 28779, 369, 264, 28378, 753, 9650, 11, 23842, 477, 5873, 315, 15419, 13, 578, 12014, 369, 279, 4495, 23842, 323, 15419, 2744, 15812, 449, 279, 6593, 6721, 13, 578, 7580, 315, 279, 2027, 374, 311, 3493, 279, 6721, 1217, 449, 264, 5507, 311, 13488, 3851, 2671, 13, 128001, -100, 27, 265, 621, 373, 29, 12555, 16939, 1609, 5433, 198, 12885, 4066, 538, 369, 33242, 1286, 2642, 5502, 30284, 1527, 264, 290, 276, 1286, 2642, 1179, 33242, 1286, 2642, 271, 1527, 2162, 78191, 48914, 9926, 1179, 14227, 1767, 198, 1527, 2162, 78191, 48914, 5430, 11647, 17900, 1179, 2456, 262, 43424, 3106, 345, 262, 2956, 4387, 65404, 345, 696, 1527, 662, 1040, 1179, 85686, 1432, 1058, 33242, 1286, 2642, 3106, 3100, 78, 17900, 3106, 997, 262, 4304, 57003, 315, 264, 33242, 1286, 2642, 5502, 30284, 262, 711, 1328, 2381, 3889, 726, 11, 20622, 1286, 2642, 25, 33242, 1286, 2642, 11, 31384, 25, 2956, 4387, 65404, 8, 1492, 2290, 512, 286, 4304, 10130, 459, 33242, 1286, 2642, 5502, 14781, 286, 2307, 27604, 2381, 3889, 1030, 17900, 340, 286, 659, 1462, 19285, 1286, 2642, 284, 20622, 1286, 2642, 198, 286, 659, 1462, 3064, 9385, 3186, 284, 14227, 1767, 1021, 310, 48316, 17237, 58225, 11, 20622, 1286, 2642, 30918, 6673, 40881, 310, 14290, 28, 19285, 1286, 2642, 21697, 32645, 345, 310, 1646, 28, 19285, 1286, 2642, 3272, 345, 310, 836, 28, 19285, 1286, 2642, 2710, 345, 310, 2064, 9625, 28, 19285, 1286, 2642, 840, 54360, 9625, 345, 310, 6683, 2975, 18603, 78032, 82876, 19285, 1286, 2642, 18320, 25374, 286, 1763, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207 ]
[ 128000, 13622, 2890, 12621, 527, 6319, 311, 1427, 369, 5326, 9547, 477, 4216, 12195, 315, 19338, 1389, 279, 1403, 1455, 4279, 1694, 4851, 8624, 477, 9572, 13, 362, 8502, 315, 42227, 16779, 527, 9057, 555, 41713, 8624, 320, 18207, 8951, 323, 53572, 8, 323, 459, 13240, 220, 1135, 12, 1490, 4, 315, 1124, 527, 5471, 481, 13, 2100, 904, 12621, 430, 1436, 1520, 4216, 18468, 527, 22225, 264, 1695, 3245, 627, 9023, 13678, 100138, 3520, 11, 264, 24618, 323, 279, 5426, 14830, 7690, 369, 41713, 8624, 27344, 11, 57358, 279, 7982, 9327, 369, 1274, 311, 1935, 2585, 315, 872, 1866, 2890, 11, 719, 568, 2795, 430, 279, 8815, 374, 50790, 902, 7177, 527, 4461, 311, 656, 810, 11682, 1109, 1695, 13, 1054, 1687, 1288, 97167, 1082, 2890, 2038, 779, 5127, 706, 2680, 311, 433, 26, 16410, 1205, 311, 10788, 1274, 14392, 810, 323, 1520, 1124, 311, 21546, 2671, 13, 70189, 374, 19411, 311, 7931, 889, 1427, 369, 32834, 5890, 430, 814, 3207, 9498, 49216, 791, 37381, 6209, 264, 2890, 1817, 1475, 4330, 1667, 311, 5127, 20330, 1990, 220, 1272, 323, 220, 5728, 311, 3820, 709, 4216, 12195, 315, 12943, 5326, 11, 20335, 11, 52857, 11, 323, 4851, 323, 39042, 8624, 13, 100138, 3520, 2795, 1070, 374, 264, 2867, 57916, 369, 1521, 1817, 8772, 11, 8994, 63836, 430, 814, 281, 8363, 311, 279, 18290, 1664, 11, 527, 264, 12571, 315, 5070, 323, 6996, 2867, 6029, 315, 27375, 13, 1054, 1687, 1541, 1431, 617, 6029, 315, 1317, 9860, 7720, 3686, 2476, 568, 2795, 11, 1054, 37241, 2926, 6821, 527, 26921, 13, 4452, 11, 279, 7177, 323, 39455, 304, 279, 37381, 1817, 455, 527, 682, 6029, 6108, 13, 578, 10778, 1053, 387, 311, 656, 4400, 1389, 719, 584, 617, 459, 42620, 315, 5471, 481, 5986, 2890, 11, 1778, 439, 20335, 11, 779, 584, 1205, 311, 656, 2555, 1457, 49216, 791, 5569, 315, 2073, 295, 1599, 4787, 1778, 439, 1579, 6680, 7410, 374, 23205, 13, 578, 8013, 18449, 5114, 17989, 430, 8254, 3610, 6560, 10495, 617, 2073, 72, 3326, 20158, 1579, 6680, 7410, 11, 7859, 279, 5326, 315, 4851, 8624, 477, 264, 12943, 13, 100138, 3520, 2795, 430, 11, 315, 279, 220, 16, 13, 20, 3610, 12884, 304, 9635, 889, 617, 4529, 709, 279, 37381, 2890, 1817, 11, 832, 304, 220, 1544, 1051, 1766, 311, 617, 1579, 6680, 7410, 315, 902, 814, 1051, 8767, 41747, 13, 5046, 3388, 11, 279, 1828, 3094, 374, 311, 1304, 2771, 430, 11, 3131, 16914, 11, 433, 374, 12020, 26, 220, 1272, 4, 315, 1274, 449, 29704, 1579, 6680, 7410, 1541, 1431, 11322, 23669, 11811, 13, 2030, 2731, 18468, 323, 6514, 1436, 5471, 459, 13240, 220, 975, 11, 2636, 53572, 323, 220, 24, 11, 19027, 4851, 8951, 304, 9635, 927, 279, 1828, 2380, 1667, 627, 791, 5326, 9547, 430, 17037, 2561, 12621, 527, 4560, 311, 10765, 527, 1579, 6680, 7410, 11, 8009, 10173, 11, 1579, 39086, 11, 33048, 11, 20149, 11, 13200, 323, 11217, 11, 8009, 39042, 734, 11, 6996, 315, 10368, 323, 3805, 25793, 13, 2057, 1520, 11322, 420, 11, 323, 7417, 69575, 11, 100138, 3520, 6944, 279, 5410, 37381, 2890, 1817, 311, 387, 2561, 304, 586, 7634, 11, 1778, 439, 41308, 323, 12185, 36282, 323, 369, 36449, 1705, 323, 264, 2134, 315, 18985, 15749, 311, 387, 389, 1450, 422, 7177, 5292, 709, 5435, 13, 5112, 1070, 527, 5426, 23061, 38737, 369, 4216, 18468, 315, 67827, 11, 17659, 323, 66358, 9572, 11, 439, 1664, 439, 264, 90438, 459, 12844, 1065, 1026, 627, 4071, 1148, 422, 499, 527, 2288, 3995, 477, 2288, 2362, 369, 279, 37381, 1817, 1389, 477, 617, 38145, 11, 719, 617, 1027, 10273, 6051, 30, 1628, 1148, 922, 436, 61570, 4787, 11, 1778, 439, 54060, 9572, 477, 8271, 15756, 2530, 30, 12540, 1274, 889, 11196, 922, 1521, 733, 369, 264, 2539, 46947, 11, 4686, 449, 4459, 2547, 8737, 11, 6680, 7177, 11, 21271, 734, 323, 4851, 7177, 30, 5112, 11, 2288, 11, 1070, 527, 279, 1054, 13265, 19440, 7177, 863, 1389, 66168, 552, 323, 37449, 369, 3278, 11, 1296, 288, 323, 47447, 369, 3026, 5380, 644, 2144, 11, 3026, 527, 3629, 9076, 264, 6680, 1296, 311, 11388, 47447, 5435, 439, 961, 315, 264, 2890, 1817, 323, 527, 3309, 430, 433, 649, 387, 459, 21070, 315, 9572, 13, 2030, 8626, 45568, 468, 3036, 315, 279, 3907, 315, 19461, 753, 6593, 2978, 2795, 430, 568, 8434, 1431, 7079, 433, 25, 1054, 1688, 1888, 11, 279, 7720, 527, 2678, 323, 279, 15635, 527, 24779, 2029, 9220, 2466, 19622, 617, 6982, 912, 14278, 304, 16779, 505, 47447, 9572, 13061, 709, 520, 23061, 627, 791, 4623, 315, 264, 4459, 2547, 8737, 374, 19411, 26, 92258, 12468, 76331, 10536, 47823, 264, 13270, 220, 1114, 1667, 4227, 994, 1364, 1047, 832, 13, 2030, 8626, 46092, 85263, 315, 279, 49197, 33780, 10181, 304, 279, 2326, 374, 55274, 13, 763, 264, 4007, 315, 810, 1109, 220, 16, 11, 931, 9498, 6278, 57859, 12884, 11, 4459, 2547, 43739, 43522, 459, 5578, 315, 220, 17, 13, 23, 75815, 1855, 13, 4497, 1109, 264, 4948, 315, 1124, 4460, 264, 1833, 5352, 13, 1054, 8130, 287, 43739, 649, 8346, 264, 43118, 315, 4455, 430, 10548, 304, 15173, 2476, 2795, 85263, 13, 1054, 16298, 1205, 311, 387, 1633, 8010, 315, 1148, 814, 3207, 3794, 1139, 13, 578, 3823, 2547, 374, 2539, 315, 75815, 11, 6617, 32758, 374, 1633, 16614, 323, 584, 1541, 1431, 1440, 1268, 311, 14532, 4395, 584, 1518, 2029, 362, 4007, 555, 85263, 706, 1766, 430, 13918, 315, 279, 2326, 449, 5190, 7969, 315, 14348, 1389, 3629, 26225, 1389, 36201, 617, 5190, 7969, 315, 44964, 2921, 5650, 320, 82, 57673, 17065, 315, 264, 39042, 6266, 1283, 15849, 279, 1403, 527, 8599, 627, 2118, 91682, 2547, 36201, 649, 79675, 264, 73081, 753, 3830, 315, 3451, 2910, 62723, 23063, 529, 1389, 19300, 389, 701, 26587, 11, 45274, 11, 60564, 67169, 11, 54060, 67169, 11, 25568, 661, 11, 62268, 300, 323, 39042, 13, 1226, 16410, 7784, 1431, 2771, 1148, 814, 3152, 11, 779, 584, 8541, 311, 19874, 1124, 1389, 459, 8990, 430, 11383, 18065, 3794, 20438, 11, 902, 7612, 57267, 323, 1023, 34933, 16346, 13, 13440, 5606, 374, 9087, 555, 279, 1920, 374, 2653, 311, 1440, 11, 719, 433, 374, 4228, 311, 1518, 1268, 814, 649, 387, 69525, 25, 26225, 18547, 11, 653, 41917, 34933, 39455, 323, 872, 65022, 36505, 11, 2737, 11, 19029, 11, 4648, 2476, 2795, 85263, 627, 4071, 1148, 922, 7493, 315, 14268, 1664, 1274, 889, 733, 369, 264, 8271, 8737, 11, 1505, 814, 617, 459, 459, 12844, 1065, 76, 320, 16501, 3252, 11, 45350, 6680, 27274, 705, 617, 459, 5784, 311, 12607, 433, 323, 264, 1653, 264, 3284, 12943, 30, 65288, 430, 753, 2555, 499, 1053, 23243, 704, 369, 13, 2030, 2999, 38649, 91493, 11, 264, 24618, 889, 10666, 264, 18588, 9063, 25999, 389, 23061, 11, 3585, 704, 430, 7859, 23842, 1253, 539, 1121, 304, 2731, 20124, 13, 578, 10461, 3187, 374, 264, 3148, 23061, 18629, 369, 54060, 9572, 304, 4987, 12126, 430, 16914, 220, 868, 3115, 810, 5157, 1109, 3766, 7177, 11, 449, 912, 4272, 16048, 304, 4648, 7969, 505, 279, 8624, 311, 2457, 13, 1442, 5127, 1051, 48548, 369, 459, 12844, 1065, 1026, 11, 2212, 220, 17, 4, 315, 1274, 1053, 387, 1766, 311, 617, 832, 1389, 719, 11, 2533, 1455, 1053, 2646, 5353, 5435, 11, 21623, 2643, 1664, 656, 810, 11682, 1109, 1695, 627, 26353, 12878, 3520, 2795, 25, 1054, 2746, 264, 23061, 1296, 374, 2853, 53421, 11, 279, 37381, 374, 3815, 433, 13, 1226, 1541, 1431, 617, 6029, 369, 5217, 7177, 520, 279, 4545, 2029, 3005, 15849, 430, 1274, 1541, 1431, 636, 26613, 2038, 922, 279, 4754, 52642, 315, 1063, 54453, 2561, 7177, 26, 279, 8631, 323, 18547, 11, 905, 64756, 320, 9493, 264, 1296, 13533, 459, 35663, 488, 430, 10800, 704, 311, 387, 4400, 8, 323, 905, 75185, 320, 9493, 264, 1296, 374, 5068, 439, 10619, 11, 719, 4536, 1431, 11, 7231, 264, 905, 5647, 315, 4868, 570, 578, 905, 64756, 636, 23415, 1203, 311, 279, 37381, 311, 3568, 449, 11, 902, 374, 1054, 58703, 2908, 750, 28743, 11, 79254, 323, 89735, 113068, 42, 686, 3520, 11, 3582, 11, 2795, 1274, 1288, 1304, 872, 1866, 11709, 922, 1148, 814, 1390, 311, 1817, 704, 13, 1628, 5606, 449, 502, 11, 653, 81950, 477, 40876, 13803, 11, 264, 3070, 3925, 315, 264, 4040, 3044, 477, 264, 4040, 2890, 4747, 1288, 2744, 1518, 264, 18985, 6721, 11, 3508, 814, 617, 1047, 264, 2890, 1817, 477, 539, 13, 578, 6335, 24811, 5084, 311, 387, 25, 733, 8469, 449, 8518, 12621, 422, 499, 1390, 311, 1389, 719, 26171, 84905, 11, 323, 1633, 8010, 13, 128001, 128000, 791, 34287, 6, 6522, 64769, 374, 704, 315, 279, 28612, 369, 220, 22, 12, 24, 3953, 627, 791, 6696, 22143, 374, 389, 5587, 220, 20, 339, 520, 220, 18, 5975, 26963, 323, 433, 374, 2133, 311, 387, 7185, 311, 1518, 422, 279, 34287, 1304, 264, 3351, 311, 1456, 323, 28191, 8454, 279, 5788, 315, 872, 6522, 64769, 889, 374, 1457, 704, 315, 279, 28612, 449, 264, 11102, 1450, 627, 16179, 279, 23842, 1436, 617, 1027, 11201, 13490, 279, 48416, 6844, 1514, 26850, 369, 904, 3160, 315, 892, 374, 264, 6908, 4814, 369, 279, 34287, 13, 10771, 311, 13929, 43907, 68279, 1901, 14912, 31531, 385, 596, 12047, 1162, 15398, 374, 7554, 15038, 1990, 8254, 323, 11888, 3953, 369, 279, 34287, 1606, 279, 25845, 369, 813, 11134, 3940, 994, 994, 568, 574, 304, 2100, 14946, 13, 763, 1023, 4339, 11, 1901, 14912, 31531, 385, 690, 539, 387, 7554, 220, 18, 12, 19, 5672, 315, 24603, 892, 323, 1288, 387, 1203, 36113, 304, 279, 2132, 2046, 315, 5587, 1131, 779, 420, 374, 3958, 3754, 719, 433, 7995, 1436, 387, 11201, 627, 791, 3488, 1457, 9221, 1148, 656, 279, 34287, 656, 311, 1456, 323, 8454, 1901, 14912, 31531, 385, 304, 279, 28612, 30, 3234, 814, 1650, 4423, 709, 505, 279, 91018, 30, 3234, 814, 1304, 264, 3568, 264, 2697, 6931, 1109, 814, 1047, 13205, 311, 311, 923, 1063, 810, 20413, 30, 578, 25944, 22162, 31030, 54166, 389, 220, 806, 25, 2946, 5975, 420, 7418, 11, 358, 8101, 584, 2351, 682, 1120, 2133, 311, 617, 311, 3868, 323, 1514, 279, 47576, 1847, 922, 1148, 328, 1894, 323, 279, 34287, 7471, 656, 449, 1901, 14912, 31531, 385, 704, 369, 220, 22, 12, 24, 315, 279, 1566, 220, 1419, 3953, 315, 279, 3280, 627, 49, 14381, 6, 1529, 4088, 10670, 19412, 800, 55442, 1101, 13942, 6725, 3432, 449, 1203, 83060, 1026, 11, 568, 574, 2728, 264, 1938, 315, 2800, 627, 3923, 527, 701, 11555, 389, 420, 7752, 323, 342, 1147, 30, 3639, 656, 499, 1781, 279, 34287, 1288, 656, 449, 1901, 10647, 704, 315, 279, 28612, 30, 15028, 449, 279, 2128, 814, 617, 323, 1650, 4423, 709, 505, 279, 91018, 477, 1288, 814, 1212, 3339, 872, 11031, 4216, 323, 4546, 304, 1063, 8149, 20413, 30, 6914, 757, 1440, 1148, 499, 1781, 304, 279, 6170, 382, 128001 ]
[ -100, 13622, 2890, 12621, 527, 6319, 311, 1427, 369, 5326, 9547, 477, 4216, 12195, 315, 19338, 1389, 279, 1403, 1455, 4279, 1694, 4851, 8624, 477, 9572, 13, 362, 8502, 315, 42227, 16779, 527, 9057, 555, 41713, 8624, 320, 18207, 8951, 323, 53572, 8, 323, 459, 13240, 220, 1135, 12, 1490, 4, 315, 1124, 527, 5471, 481, 13, 2100, 904, 12621, 430, 1436, 1520, 4216, 18468, 527, 22225, 264, 1695, 3245, 627, 9023, 13678, 100138, 3520, 11, 264, 24618, 323, 279, 5426, 14830, 7690, 369, 41713, 8624, 27344, 11, 57358, 279, 7982, 9327, 369, 1274, 311, 1935, 2585, 315, 872, 1866, 2890, 11, 719, 568, 2795, 430, 279, 8815, 374, 50790, 902, 7177, 527, 4461, 311, 656, 810, 11682, 1109, 1695, 13, 1054, 1687, 1288, 97167, 1082, 2890, 2038, 779, 5127, 706, 2680, 311, 433, 26, 16410, 1205, 311, 10788, 1274, 14392, 810, 323, 1520, 1124, 311, 21546, 2671, 13, 70189, 374, 19411, 311, 7931, 889, 1427, 369, 32834, 5890, 430, 814, 3207, 9498, 49216, 791, 37381, 6209, 264, 2890, 1817, 1475, 4330, 1667, 311, 5127, 20330, 1990, 220, 1272, 323, 220, 5728, 311, 3820, 709, 4216, 12195, 315, 12943, 5326, 11, 20335, 11, 52857, 11, 323, 4851, 323, 39042, 8624, 13, 100138, 3520, 2795, 1070, 374, 264, 2867, 57916, 369, 1521, 1817, 8772, 11, 8994, 63836, 430, 814, 281, 8363, 311, 279, 18290, 1664, 11, 527, 264, 12571, 315, 5070, 323, 6996, 2867, 6029, 315, 27375, 13, 1054, 1687, 1541, 1431, 617, 6029, 315, 1317, 9860, 7720, 3686, 2476, 568, 2795, 11, 1054, 37241, 2926, 6821, 527, 26921, 13, 4452, 11, 279, 7177, 323, 39455, 304, 279, 37381, 1817, 455, 527, 682, 6029, 6108, 13, 578, 10778, 1053, 387, 311, 656, 4400, 1389, 719, 584, 617, 459, 42620, 315, 5471, 481, 5986, 2890, 11, 1778, 439, 20335, 11, 779, 584, 1205, 311, 656, 2555, 1457, 49216, 791, 5569, 315, 2073, 295, 1599, 4787, 1778, 439, 1579, 6680, 7410, 374, 23205, 13, 578, 8013, 18449, 5114, 17989, 430, 8254, 3610, 6560, 10495, 617, 2073, 72, 3326, 20158, 1579, 6680, 7410, 11, 7859, 279, 5326, 315, 4851, 8624, 477, 264, 12943, 13, 100138, 3520, 2795, 430, 11, 315, 279, 220, 16, 13, 20, 3610, 12884, 304, 9635, 889, 617, 4529, 709, 279, 37381, 2890, 1817, 11, 832, 304, 220, 1544, 1051, 1766, 311, 617, 1579, 6680, 7410, 315, 902, 814, 1051, 8767, 41747, 13, 5046, 3388, 11, 279, 1828, 3094, 374, 311, 1304, 2771, 430, 11, 3131, 16914, 11, 433, 374, 12020, 26, 220, 1272, 4, 315, 1274, 449, 29704, 1579, 6680, 7410, 1541, 1431, 11322, 23669, 11811, 13, 2030, 2731, 18468, 323, 6514, 1436, 5471, 459, 13240, 220, 975, 11, 2636, 53572, 323, 220, 24, 11, 19027, 4851, 8951, 304, 9635, 927, 279, 1828, 2380, 1667, 627, 791, 5326, 9547, 430, 17037, 2561, 12621, 527, 4560, 311, 10765, 527, 1579, 6680, 7410, 11, 8009, 10173, 11, 1579, 39086, 11, 33048, 11, 20149, 11, 13200, 323, 11217, 11, 8009, 39042, 734, 11, 6996, 315, 10368, 323, 3805, 25793, 13, 2057, 1520, 11322, 420, 11, 323, 7417, 69575, 11, 100138, 3520, 6944, 279, 5410, 37381, 2890, 1817, 311, 387, 2561, 304, 586, 7634, 11, 1778, 439, 41308, 323, 12185, 36282, 323, 369, 36449, 1705, 323, 264, 2134, 315, 18985, 15749, 311, 387, 389, 1450, 422, 7177, 5292, 709, 5435, 13, 5112, 1070, 527, 5426, 23061, 38737, 369, 4216, 18468, 315, 67827, 11, 17659, 323, 66358, 9572, 11, 439, 1664, 439, 264, 90438, 459, 12844, 1065, 1026, 627, 4071, 1148, 422, 499, 527, 2288, 3995, 477, 2288, 2362, 369, 279, 37381, 1817, 1389, 477, 617, 38145, 11, 719, 617, 1027, 10273, 6051, 30, 1628, 1148, 922, 436, 61570, 4787, 11, 1778, 439, 54060, 9572, 477, 8271, 15756, 2530, 30, 12540, 1274, 889, 11196, 922, 1521, 733, 369, 264, 2539, 46947, 11, 4686, 449, 4459, 2547, 8737, 11, 6680, 7177, 11, 21271, 734, 323, 4851, 7177, 30, 5112, 11, 2288, 11, 1070, 527, 279, 1054, 13265, 19440, 7177, 863, 1389, 66168, 552, 323, 37449, 369, 3278, 11, 1296, 288, 323, 47447, 369, 3026, 5380, 644, 2144, 11, 3026, 527, 3629, 9076, 264, 6680, 1296, 311, 11388, 47447, 5435, 439, 961, 315, 264, 2890, 1817, 323, 527, 3309, 430, 433, 649, 387, 459, 21070, 315, 9572, 13, 2030, 8626, 45568, 468, 3036, 315, 279, 3907, 315, 19461, 753, 6593, 2978, 2795, 430, 568, 8434, 1431, 7079, 433, 25, 1054, 1688, 1888, 11, 279, 7720, 527, 2678, 323, 279, 15635, 527, 24779, 2029, 9220, 2466, 19622, 617, 6982, 912, 14278, 304, 16779, 505, 47447, 9572, 13061, 709, 520, 23061, 627, 791, 4623, 315, 264, 4459, 2547, 8737, 374, 19411, 26, 92258, 12468, 76331, 10536, 47823, 264, 13270, 220, 1114, 1667, 4227, 994, 1364, 1047, 832, 13, 2030, 8626, 46092, 85263, 315, 279, 49197, 33780, 10181, 304, 279, 2326, 374, 55274, 13, 763, 264, 4007, 315, 810, 1109, 220, 16, 11, 931, 9498, 6278, 57859, 12884, 11, 4459, 2547, 43739, 43522, 459, 5578, 315, 220, 17, 13, 23, 75815, 1855, 13, 4497, 1109, 264, 4948, 315, 1124, 4460, 264, 1833, 5352, 13, 1054, 8130, 287, 43739, 649, 8346, 264, 43118, 315, 4455, 430, 10548, 304, 15173, 2476, 2795, 85263, 13, 1054, 16298, 1205, 311, 387, 1633, 8010, 315, 1148, 814, 3207, 3794, 1139, 13, 578, 3823, 2547, 374, 2539, 315, 75815, 11, 6617, 32758, 374, 1633, 16614, 323, 584, 1541, 1431, 1440, 1268, 311, 14532, 4395, 584, 1518, 2029, 362, 4007, 555, 85263, 706, 1766, 430, 13918, 315, 279, 2326, 449, 5190, 7969, 315, 14348, 1389, 3629, 26225, 1389, 36201, 617, 5190, 7969, 315, 44964, 2921, 5650, 320, 82, 57673, 17065, 315, 264, 39042, 6266, 1283, 15849, 279, 1403, 527, 8599, 627, 2118, 91682, 2547, 36201, 649, 79675, 264, 73081, 753, 3830, 315, 3451, 2910, 62723, 23063, 529, 1389, 19300, 389, 701, 26587, 11, 45274, 11, 60564, 67169, 11, 54060, 67169, 11, 25568, 661, 11, 62268, 300, 323, 39042, 13, 1226, 16410, 7784, 1431, 2771, 1148, 814, 3152, 11, 779, 584, 8541, 311, 19874, 1124, 1389, 459, 8990, 430, 11383, 18065, 3794, 20438, 11, 902, 7612, 57267, 323, 1023, 34933, 16346, 13, 13440, 5606, 374, 9087, 555, 279, 1920, 374, 2653, 311, 1440, 11, 719, 433, 374, 4228, 311, 1518, 1268, 814, 649, 387, 69525, 25, 26225, 18547, 11, 653, 41917, 34933, 39455, 323, 872, 65022, 36505, 11, 2737, 11, 19029, 11, 4648, 2476, 2795, 85263, 627, 4071, 1148, 922, 7493, 315, 14268, 1664, 1274, 889, 733, 369, 264, 8271, 8737, 11, 1505, 814, 617, 459, 459, 12844, 1065, 76, 320, 16501, 3252, 11, 45350, 6680, 27274, 705, 617, 459, 5784, 311, 12607, 433, 323, 264, 1653, 264, 3284, 12943, 30, 65288, 430, 753, 2555, 499, 1053, 23243, 704, 369, 13, 2030, 2999, 38649, 91493, 11, 264, 24618, 889, 10666, 264, 18588, 9063, 25999, 389, 23061, 11, 3585, 704, 430, 7859, 23842, 1253, 539, 1121, 304, 2731, 20124, 13, 578, 10461, 3187, 374, 264, 3148, 23061, 18629, 369, 54060, 9572, 304, 4987, 12126, 430, 16914, 220, 868, 3115, 810, 5157, 1109, 3766, 7177, 11, 449, 912, 4272, 16048, 304, 4648, 7969, 505, 279, 8624, 311, 2457, 13, 1442, 5127, 1051, 48548, 369, 459, 12844, 1065, 1026, 11, 2212, 220, 17, 4, 315, 1274, 1053, 387, 1766, 311, 617, 832, 1389, 719, 11, 2533, 1455, 1053, 2646, 5353, 5435, 11, 21623, 2643, 1664, 656, 810, 11682, 1109, 1695, 627, 26353, 12878, 3520, 2795, 25, 1054, 2746, 264, 23061, 1296, 374, 2853, 53421, 11, 279, 37381, 374, 3815, 433, 13, 1226, 1541, 1431, 617, 6029, 369, 5217, 7177, 520, 279, 4545, 2029, 3005, 15849, 430, 1274, 1541, 1431, 636, 26613, 2038, 922, 279, 4754, 52642, 315, 1063, 54453, 2561, 7177, 26, 279, 8631, 323, 18547, 11, 905, 64756, 320, 9493, 264, 1296, 13533, 459, 35663, 488, 430, 10800, 704, 311, 387, 4400, 8, 323, 905, 75185, 320, 9493, 264, 1296, 374, 5068, 439, 10619, 11, 719, 4536, 1431, 11, 7231, 264, 905, 5647, 315, 4868, 570, 578, 905, 64756, 636, 23415, 1203, 311, 279, 37381, 311, 3568, 449, 11, 902, 374, 1054, 58703, 2908, 750, 28743, 11, 79254, 323, 89735, 113068, 42, 686, 3520, 11, 3582, 11, 2795, 1274, 1288, 1304, 872, 1866, 11709, 922, 1148, 814, 1390, 311, 1817, 704, 13, 1628, 5606, 449, 502, 11, 653, 81950, 477, 40876, 13803, 11, 264, 3070, 3925, 315, 264, 4040, 3044, 477, 264, 4040, 2890, 4747, 1288, 2744, 1518, 264, 18985, 6721, 11, 3508, 814, 617, 1047, 264, 2890, 1817, 477, 539, 13, 578, 6335, 24811, 5084, 311, 387, 25, 733, 8469, 449, 8518, 12621, 422, 499, 1390, 311, 1389, 719, 26171, 84905, 11, 323, 1633, 8010, 13, 128001, -100, 791, 34287, 6, 6522, 64769, 374, 704, 315, 279, 28612, 369, 220, 22, 12, 24, 3953, 627, 791, 6696, 22143, 374, 389, 5587, 220, 20, 339, 520, 220, 18, 5975, 26963, 323, 433, 374, 2133, 311, 387, 7185, 311, 1518, 422, 279, 34287, 1304, 264, 3351, 311, 1456, 323, 28191, 8454, 279, 5788, 315, 872, 6522, 64769, 889, 374, 1457, 704, 315, 279, 28612, 449, 264, 11102, 1450, 627, 16179, 279, 23842, 1436, 617, 1027, 11201, 13490, 279, 48416, 6844, 1514, 26850, 369, 904, 3160, 315, 892, 374, 264, 6908, 4814, 369, 279, 34287, 13, 10771, 311, 13929, 43907, 68279, 1901, 14912, 31531, 385, 596, 12047, 1162, 15398, 374, 7554, 15038, 1990, 8254, 323, 11888, 3953, 369, 279, 34287, 1606, 279, 25845, 369, 813, 11134, 3940, 994, 994, 568, 574, 304, 2100, 14946, 13, 763, 1023, 4339, 11, 1901, 14912, 31531, 385, 690, 539, 387, 7554, 220, 18, 12, 19, 5672, 315, 24603, 892, 323, 1288, 387, 1203, 36113, 304, 279, 2132, 2046, 315, 5587, 1131, 779, 420, 374, 3958, 3754, 719, 433, 7995, 1436, 387, 11201, 627, 791, 3488, 1457, 9221, 1148, 656, 279, 34287, 656, 311, 1456, 323, 8454, 1901, 14912, 31531, 385, 304, 279, 28612, 30, 3234, 814, 1650, 4423, 709, 505, 279, 91018, 30, 3234, 814, 1304, 264, 3568, 264, 2697, 6931, 1109, 814, 1047, 13205, 311, 311, 923, 1063, 810, 20413, 30, 578, 25944, 22162, 31030, 54166, 389, 220, 806, 25, 2946, 5975, 420, 7418, 11, 358, 8101, 584, 2351, 682, 1120, 2133, 311, 617, 311, 3868, 323, 1514, 279, 47576, 1847, 922, 1148, 328, 1894, 323, 279, 34287, 7471, 656, 449, 1901, 14912, 31531, 385, 704, 369, 220, 22, 12, 24, 315, 279, 1566, 220, 1419, 3953, 315, 279, 3280, 627, 49, 14381, 6, 1529, 4088, 10670, 19412, 800, 55442, 1101, 13942, 6725, 3432, 449, 1203, 83060, 1026, 11, 568, 574, 2728, 264, 1938, 315, 2800, 627, 3923, 527, 701, 11555, 389, 420, 7752, 323, 342, 1147, 30, 3639, 656, 499, 1781, 279, 34287, 1288, 656, 449, 1901, 10647, 704, 315, 279, 28612, 30, 15028, 449, 279, 2128, 814, 617, 323, 1650, 4423, 709, 505, 279, 91018, 477, 1288, 814, 1212, 3339, 872, 11031, 4216, 323, 4546, 304, 1063, 8149, 20413, 30, 6914, 757, 1440, 1148, 499, 1781, 304, 279, 6170, 382, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 2181, 5992, 1093, 279, 8620, 527, 2133, 311, 279, 6453, 3185, 315, 279, 18266, 11, 439, 872, 14248, 617, 7946, 12793, 279, 2410, 1887, 315, 264, 5843, 5587, 12, 20, 19115, 25294, 389, 7159, 430, 690, 8854, 279, 44472, 67870, 12, 20, 57811, 9131, 304, 220, 679, 22, 11, 1630, 21538, 4381, 5068, 627, 791, 21787, 315, 279, 25294, 1051, 11887, 505, 279, 5015, 13, 1102, 574, 264, 1695, 1620, 1296, 1603, 279, 5150, 25294, 7195, 1828, 1060, 11, 4184, 311, 279, 3314, 17128, 315, 10170, 11, 12053, 323, 24780, 369, 5165, 16777, 627, 23078, 22262, 311, 3719, 279, 1176, 3224, 311, 4363, 389, 279, 3117, 3185, 315, 279, 18266, 323, 1977, 264, 2385, 3190, 369, 69522, 2949, 279, 1828, 2478, 1667, 627, 791, 9131, 690, 1101, 21736, 3339, 63610, 505, 279, 3117, 3185, 315, 279, 18266, 11, 1296, 828, 32951, 323, 10758, 17357, 505, 430, 961, 315, 279, 18266, 323, 20461, 279, 17357, 315, 57811, 3814, 2410, 9659, 11, 473, 6269, 45, 1071, 627, 2688, 1790, 374, 3967, 922, 279, 3117, 3185, 315, 279, 18266, 11, 1101, 3967, 439, 279, 1054, 23449, 3185, 2476, 439, 433, 706, 2646, 1027, 10489, 36131, 627, 2078, 47733, 7762, 5124, 24621, 11223, 311, 13488, 279, 3117, 3185, 315, 279, 18266, 304, 279, 220, 4468, 15, 82, 11, 719, 22146, 19284, 813, 14050, 11, 28898, 430, 279, 3185, 430, 3250, 1431, 3663, 279, 9420, 574, 55883, 323, 11660, 11, 473, 6269, 45, 5068, 627, 23078, 374, 10032, 311, 51696, 449, 1023, 5961, 369, 1202, 13205, 9131, 13, 578, 3575, 374, 430, 22146, 374, 21501, 505, 3318, 449, 5734, 11, 39193, 1071, 627, 50909, 3002, 449, 279, 3723, 4273, 323, 8524, 11, 5734, 374, 279, 1193, 7140, 430, 706, 27212, 389, 279, 18266, 753, 7479, 13, 128001, 128000, 10149, 584, 1440, 832, 2500, 994, 584, 2815, 30, 1115, 574, 279, 4747, 315, 264, 1695, 4333, 6832, 13219, 3502, 31412, 374, 304, 279, 1620, 18094, 315, 9572, 13, 1054, 40, 574, 8173, 304, 701, 6170, 389, 3451, 65, 23478, 4648, 529, 510, 258, 856, 5117, 56124, 4359, 19109, 311, 19109, 60, 1981, 4452, 311, 4423, 889, 706, 539, 32366, 291, 11937, 304, 73888, 11, 539, 439, 11190, 477, 26921, 439, 369, 1884, 889, 656, 1440, 872, 426, 21041, 0, 358, 617, 12090, 311, 1077, 311, 1781, 304, 3878, 315, 1077, 6699, 323, 56435, 36387, 1077, 320, 543, 11364, 22125, 570, 863, 3092, 4333, 31156, 1148, 53640, 1862, 1070, 574, 369, 1778, 18324, 11, 323, 3508, 433, 574, 1314, 311, 3137, 311, 813, 23069, 13219, 3502, 31412, 304, 420, 1648, 13, 10541, 358, 48466, 430, 279, 54250, 6029, 369, 18324, 374, 539, 3831, 11, 38913, 358, 33304, 311, 4510, 430, 584, 4985, 44917, 10456, 6305, 889, 617, 8208, 8469, 315, 603, 627, 644, 279, 1176, 2937, 11, 7043, 6267, 430, 994, 10811, 4780, 11, 584, 4985, 387, 77979, 449, 10456, 6305, 889, 617, 8636, 304, 3771, 13, 1283, 7633, 279, 666, 434, 44711, 5493, 439, 813, 1054, 66, 4935, 315, 84744, 1603, 1057, 10425, 10811, 520, 813, 5108, 863, 320, 16, 666, 434, 220, 17, 13, 777, 1237, 30293, 11, 2949, 279, 2317, 315, 10811, 529, 471, 11, 7043, 7633, 279, 7302, 25240, 598, 439, 1054, 2465, 16267, 323, 27631, 863, 320, 30690, 220, 19, 13, 16, 570, 7505, 468, 2544, 4910, 29786, 25, 1054, 26368, 665, 41115, 264, 6800, 25960, 11, 8530, 1093, 430, 520, 279, 842, 315, 279, 25944, 3953, 11, 1405, 279, 5310, 1105, 527, 2728, 872, 67608, 27382, 323, 1070, 374, 1790, 48041, 10332, 863, 320, 64825, 555, 33305, 58253, 11, 578, 27757, 311, 279, 7302, 25240, 598, 11, 5345, 337, 2353, 220, 1049, 24, 11, 220, 11209, 13, 5112, 304, 220, 16, 666, 434, 220, 19, 13, 1032, 12, 972, 1070, 374, 7043, 753, 4096, 315, 279, 5108, 315, 279, 10425, 25, 8996, 775, 420, 21765, 3445, 11, 433, 22225, 1054, 967, 414, 1154, 863, 320, 19, 13, 972, 8, 22125, 311, 4510, 430, 584, 690, 3449, 709, 449, 832, 2500, 13, 2057, 12929, 468, 2544, 4910, 1578, 11, 1054, 2181, 690, 387, 279, 17139, 3070, 312, 12, 16588, 449, 279, 11734, 863, 320, 16, 612, 220, 17, 666, 434, 44711, 5493, 11, 469, 261, 14170, 598, 220, 1049, 21, 11, 220, 9335, 4390, 644, 279, 2132, 2937, 11, 7043, 18784, 369, 279, 62532, 315, 279, 2547, 11, 902, 18065, 539, 1193, 2349, 719, 1101, 264, 14691, 5647, 315, 9764, 25, 1054, 3923, 499, 58565, 1587, 539, 2586, 311, 2324, 7389, 433, 8898, 13, 1628, 439, 369, 1148, 499, 58565, 11, 499, 656, 539, 779, 279, 2547, 430, 374, 311, 387, 11, 719, 264, 12743, 10533, 11, 8530, 315, 34153, 477, 315, 1063, 1023, 24875, 863, 320, 16, 4563, 220, 868, 13, 1927, 11, 1806, 89612, 2028, 56203, 315, 279, 10533, 46480, 430, 832, 5496, 3245, 11, 1555, 4648, 11, 649, 617, 1403, 20362, 315, 14209, 13, 23150, 1057, 13162, 3217, 2349, 2736, 304, 420, 2324, 13, 24432, 2464, 1705, 6179, 603, 430, 2391, 264, 8254, 1060, 11008, 279, 31206, 18528, 315, 1057, 13162, 374, 6724, 5614, 13, 763, 832, 5647, 1070, 374, 912, 5133, 1990, 1057, 13162, 439, 2911, 323, 1057, 13162, 439, 3995, 1274, 11, 1095, 7636, 1057, 13162, 439, 2362, 1274, 11, 323, 3686, 1070, 374, 50106, 13, 1115, 50106, 374, 13605, 1555, 17743, 13, 2468, 4648, 11, 4869, 11, 1057, 13162, 37771, 3117, 810, 18336, 2349, 13, 578, 1054, 23425, 863, 315, 1057, 90495, 13162, 14091, 18685, 11, 323, 3686, 279, 502, 2324, 902, 4359, 6835, 706, 264, 5133, 449, 279, 2362, 13, 1102, 374, 264, 3451, 36698, 529, 315, 279, 2362, 13, 763, 34781, 315, 682, 279, 4442, 11, 433, 374, 279, 1890, 1732, 13, 29240, 311, 279, 2547, 656, 539, 7958, 279, 7718, 17743, 13, 4702, 439, 264, 1984, 374, 2103, 279, 1890, 1984, 3508, 22066, 304, 4339, 477, 34699, 1555, 14683, 8232, 477, 70939, 1555, 304, 87339, 2082, 11, 779, 584, 4985, 387, 279, 1890, 11434, 11, 8996, 279, 3451, 8407, 529, 1376, 304, 902, 1057, 44908, 527, 13605, 13, 5810, 374, 2500, 8197, 369, 23070, 439, 264, 2035, 315, 312, 12, 16588, 627, 38075, 398, 11, 3842, 304, 813, 4096, 315, 279, 502, 23070, 323, 279, 502, 9578, 2795, 430, 304, 279, 502, 1917, 430, 374, 5108, 11, 4359, 690, 387, 449, 813, 1274, 25, 1054, 1548, 690, 40194, 1475, 18036, 505, 872, 6548, 13, 16290, 690, 387, 912, 810, 26, 76350, 323, 31299, 323, 6784, 690, 387, 912, 810, 863, 320, 37284, 220, 1691, 13, 18, 11, 19, 570, 578, 1455, 35104, 287, 13189, 315, 279, 4648, 315, 10456, 6305, 374, 1057, 5647, 315, 4814, 11, 323, 279, 8850, 430, 584, 4985, 2646, 1518, 1124, 1578, 1389, 719, 279, 61636, 315, 3842, 753, 4339, 374, 430, 584, 4985, 1518, 832, 2500, 1578, 627, 2170, 369, 10811, 11, 568, 74549, 279, 7434, 315, 62532, 11, 323, 3629, 55385, 291, 279, 5108, 26135, 311, 264, 67698, 87838, 11, 568, 1550, 539, 2019, 4205, 922, 58384, 13, 1283, 1071, 430, 11103, 690, 539, 387, 264, 4668, 315, 279, 1917, 311, 2586, 320, 4151, 4488, 220, 717, 13, 914, 26, 25459, 220, 508, 13, 1927, 705, 719, 4856, 3118, 12135, 690, 387, 24411, 1139, 2555, 3686, 810, 44308, 13, 2100, 7957, 37863, 29786, 25, 1054, 791, 2324, 311, 2586, 42675, 264, 502, 72906, 315, 14209, 11, 1054, 4908, 279, 46968, 863, 320, 59447, 220, 508, 13, 1927, 8, 1981, 4359, 753, 2410, 311, 1893, 323, 15301, 66801, 279, 13693, 315, 2225, 12496, 323, 28899, 13, 88150, 50446, 527, 912, 810, 4255, 10297, 389, 90495, 3217, 1109, 1772, 4581, 372, 2324, 374, 4255, 10297, 389, 2324, 304, 8791, 2382, 863, 320, 791, 44468, 4184, 311, 25459, 11, 5345, 337, 2353, 220, 679, 20, 11, 220, 18216, 570, 2030, 8051, 7106, 39275, 323, 14079, 12135, 690, 32616, 11, 420, 1587, 539, 14647, 6037, 704, 279, 4623, 315, 58384, 13, 23150, 11, 4184, 311, 18587, 41810, 11, 1054, 2746, 10811, 19487, 11, 3451, 8607, 690, 2586, 505, 279, 11226, 323, 279, 9909, 323, 2503, 1523, 520, 2007, 304, 279, 26135, 315, 23070, 449, 37488, 11, 42608, 323, 25537, 529, 320, 40917, 220, 23, 13, 806, 705, 568, 36548, 8967, 430, 37488, 323, 279, 3885, 1053, 387, 312, 511, 4021, 1534, 11453, 41810, 4024, 389, 25, 19524, 4702, 439, 10811, 529, 20723, 1051, 3025, 311, 15641, 1461, 1306, 813, 62532, 11, 779, 584, 4985, 1440, 1855, 1023, 1389, 430, 753, 832, 2944, 3249, 584, 4985, 617, 3451, 86390, 940, 13162, 24535, 2030, 433, 690, 387, 6677, 389, 264, 19662, 2237, 11, 449, 88018, 3021, 323, 8830, 2288, 1109, 584, 617, 3596, 3967, 1603, 863, 320, 791, 10811, 18231, 11, 9506, 220, 4468, 19, 11, 220, 2495, 4390, 644, 279, 3177, 315, 1521, 90296, 1070, 527, 21319, 369, 23524, 23070, 439, 264, 2035, 315, 58384, 13, 2100, 279, 4948, 34457, 34342, 356, 1100, 7414, 6267, 25, 1054, 3947, 527, 264, 2294, 1396, 315, 25237, 6305, 45088, 603, 11, 323, 264, 29050, 13734, 315, 6699, 11, 20820, 11, 2911, 11, 374, 79422, 369, 603, 11, 2736, 28478, 315, 872, 1866, 7296, 11, 323, 79422, 369, 1057, 46035, 13, 3639, 16089, 2136, 1070, 690, 387, 369, 1124, 323, 369, 603, 994, 584, 3810, 872, 9546, 323, 4430, 872, 27830, 18319, 4452, 11, 433, 374, 3062, 311, 8631, 430, 23070, 374, 810, 1109, 264, 2035, 315, 58384, 13, 2100, 35131, 89764, 11, 994, 4691, 520, 264, 10017, 315, 92420, 529, 39720, 11, 3451, 10149, 584, 1518, 1057, 10456, 6305, 389, 279, 1023, 3185, 30, 20182, 20592, 11, 3451, 9642, 719, 449, 3885, 2288, 24535, 2582, 439, 3842, 66347, 8503, 6267, 25, 1054, 3947, 499, 4985, 4774, 701, 4885, 1578, 430, 617, 8208, 270, 2544, 1603, 499, 26, 323, 1070, 499, 4985, 449, 16267, 5371, 1524, 1475, 832, 430, 11263, 1139, 279, 27823, 2035, 1306, 499, 11453, 23150, 11, 23278, 666, 9881, 12090, 430, 1054, 644, 279, 502, 9578, 584, 690, 16681, 449, 832, 2500, 15871, 304, 3878, 315, 1057, 389, 24639, 304, 3771, 11, 430, 374, 11, 439, 20820, 323, 30393, 304, 1461, 13, 1115, 1587, 539, 3152, 430, 1023, 19476, 1389, 40721, 11, 4885, 11, 7555, 11, 10177, 11, 2911, 37444, 1389, 690, 912, 5129, 3881, 13, 358, 656, 270, 23, 771, 584, 690, 387, 3025, 311, 2019, 11, 3451, 12174, 10035, 11, 584, 1511, 311, 990, 3871, 20182, 477, 3451, 906, 3131, 1051, 12502, 24535, 4452, 1057, 6222, 9764, 304, 3771, 690, 387, 779, 25462, 430, 1521, 1023, 3445, 315, 23343, 690, 5042, 387, 40815, 863, 320, 14336, 1548, 5389, 529, 220, 9079, 304, 3639, 527, 584, 8748, 369, 30, 9052, 3987, 323, 19225, 7829, 11, 7281, 944, 11975, 220, 1049, 23, 11, 19685, 555, 18587, 40401, 612, 25953, 432, 1982, 4390, 9642, 11, 12135, 690, 11, 387, 42590, 2954, 323, 11838, 11, 719, 304, 5627, 902, 527, 7953, 1057, 28899, 11, 369, 1054, 3923, 912, 8071, 706, 3970, 11, 6463, 2487, 6755, 11, 6463, 279, 3823, 4851, 50178, 497, 4359, 706, 10235, 369, 1884, 889, 3021, 1461, 863, 320, 16, 4563, 220, 17, 13, 24, 570, 56733, 11, 439, 358, 6267, 304, 264, 74343, 369, 279, 28031, 4234, 11, 1054, 86924, 1070, 690, 387, 13, 21347, 312, 20486, 1639, 449, 1057, 10456, 6305, 374, 961, 315, 1057, 3987, 11, 719, 1057, 12135, 690, 387, 24411, 304, 4359, 863, 320, 32, 85127, 3861, 24934, 11, 43748, 9323, 315, 19397, 220, 1049, 20, 11, 220, 2148, 4390, 40, 4510, 279, 4459, 4623, 315, 5952, 3876, 1274, 304, 32450, 374, 41902, 627, 333, 499, 1550, 44917, 1124, 11, 264, 23222, 10652, 449, 1124, 1053, 387, 12266, 13, 128001 ]
[ -100, 2181, 5992, 1093, 279, 8620, 527, 2133, 311, 279, 6453, 3185, 315, 279, 18266, 11, 439, 872, 14248, 617, 7946, 12793, 279, 2410, 1887, 315, 264, 5843, 5587, 12, 20, 19115, 25294, 389, 7159, 430, 690, 8854, 279, 44472, 67870, 12, 20, 57811, 9131, 304, 220, 679, 22, 11, 1630, 21538, 4381, 5068, 627, 791, 21787, 315, 279, 25294, 1051, 11887, 505, 279, 5015, 13, 1102, 574, 264, 1695, 1620, 1296, 1603, 279, 5150, 25294, 7195, 1828, 1060, 11, 4184, 311, 279, 3314, 17128, 315, 10170, 11, 12053, 323, 24780, 369, 5165, 16777, 627, 23078, 22262, 311, 3719, 279, 1176, 3224, 311, 4363, 389, 279, 3117, 3185, 315, 279, 18266, 323, 1977, 264, 2385, 3190, 369, 69522, 2949, 279, 1828, 2478, 1667, 627, 791, 9131, 690, 1101, 21736, 3339, 63610, 505, 279, 3117, 3185, 315, 279, 18266, 11, 1296, 828, 32951, 323, 10758, 17357, 505, 430, 961, 315, 279, 18266, 323, 20461, 279, 17357, 315, 57811, 3814, 2410, 9659, 11, 473, 6269, 45, 1071, 627, 2688, 1790, 374, 3967, 922, 279, 3117, 3185, 315, 279, 18266, 11, 1101, 3967, 439, 279, 1054, 23449, 3185, 2476, 439, 433, 706, 2646, 1027, 10489, 36131, 627, 2078, 47733, 7762, 5124, 24621, 11223, 311, 13488, 279, 3117, 3185, 315, 279, 18266, 304, 279, 220, 4468, 15, 82, 11, 719, 22146, 19284, 813, 14050, 11, 28898, 430, 279, 3185, 430, 3250, 1431, 3663, 279, 9420, 574, 55883, 323, 11660, 11, 473, 6269, 45, 5068, 627, 23078, 374, 10032, 311, 51696, 449, 1023, 5961, 369, 1202, 13205, 9131, 13, 578, 3575, 374, 430, 22146, 374, 21501, 505, 3318, 449, 5734, 11, 39193, 1071, 627, 50909, 3002, 449, 279, 3723, 4273, 323, 8524, 11, 5734, 374, 279, 1193, 7140, 430, 706, 27212, 389, 279, 18266, 753, 7479, 13, 128001, -100, 10149, 584, 1440, 832, 2500, 994, 584, 2815, 30, 1115, 574, 279, 4747, 315, 264, 1695, 4333, 6832, 13219, 3502, 31412, 374, 304, 279, 1620, 18094, 315, 9572, 13, 1054, 40, 574, 8173, 304, 701, 6170, 389, 3451, 65, 23478, 4648, 529, 510, 258, 856, 5117, 56124, 4359, 19109, 311, 19109, 60, 1981, 4452, 311, 4423, 889, 706, 539, 32366, 291, 11937, 304, 73888, 11, 539, 439, 11190, 477, 26921, 439, 369, 1884, 889, 656, 1440, 872, 426, 21041, 0, 358, 617, 12090, 311, 1077, 311, 1781, 304, 3878, 315, 1077, 6699, 323, 56435, 36387, 1077, 320, 543, 11364, 22125, 570, 863, 3092, 4333, 31156, 1148, 53640, 1862, 1070, 574, 369, 1778, 18324, 11, 323, 3508, 433, 574, 1314, 311, 3137, 311, 813, 23069, 13219, 3502, 31412, 304, 420, 1648, 13, 10541, 358, 48466, 430, 279, 54250, 6029, 369, 18324, 374, 539, 3831, 11, 38913, 358, 33304, 311, 4510, 430, 584, 4985, 44917, 10456, 6305, 889, 617, 8208, 8469, 315, 603, 627, 644, 279, 1176, 2937, 11, 7043, 6267, 430, 994, 10811, 4780, 11, 584, 4985, 387, 77979, 449, 10456, 6305, 889, 617, 8636, 304, 3771, 13, 1283, 7633, 279, 666, 434, 44711, 5493, 439, 813, 1054, 66, 4935, 315, 84744, 1603, 1057, 10425, 10811, 520, 813, 5108, 863, 320, 16, 666, 434, 220, 17, 13, 777, 1237, 30293, 11, 2949, 279, 2317, 315, 10811, 529, 471, 11, 7043, 7633, 279, 7302, 25240, 598, 439, 1054, 2465, 16267, 323, 27631, 863, 320, 30690, 220, 19, 13, 16, 570, 7505, 468, 2544, 4910, 29786, 25, 1054, 26368, 665, 41115, 264, 6800, 25960, 11, 8530, 1093, 430, 520, 279, 842, 315, 279, 25944, 3953, 11, 1405, 279, 5310, 1105, 527, 2728, 872, 67608, 27382, 323, 1070, 374, 1790, 48041, 10332, 863, 320, 64825, 555, 33305, 58253, 11, 578, 27757, 311, 279, 7302, 25240, 598, 11, 5345, 337, 2353, 220, 1049, 24, 11, 220, 11209, 13, 5112, 304, 220, 16, 666, 434, 220, 19, 13, 1032, 12, 972, 1070, 374, 7043, 753, 4096, 315, 279, 5108, 315, 279, 10425, 25, 8996, 775, 420, 21765, 3445, 11, 433, 22225, 1054, 967, 414, 1154, 863, 320, 19, 13, 972, 8, 22125, 311, 4510, 430, 584, 690, 3449, 709, 449, 832, 2500, 13, 2057, 12929, 468, 2544, 4910, 1578, 11, 1054, 2181, 690, 387, 279, 17139, 3070, 312, 12, 16588, 449, 279, 11734, 863, 320, 16, 612, 220, 17, 666, 434, 44711, 5493, 11, 469, 261, 14170, 598, 220, 1049, 21, 11, 220, 9335, 4390, 644, 279, 2132, 2937, 11, 7043, 18784, 369, 279, 62532, 315, 279, 2547, 11, 902, 18065, 539, 1193, 2349, 719, 1101, 264, 14691, 5647, 315, 9764, 25, 1054, 3923, 499, 58565, 1587, 539, 2586, 311, 2324, 7389, 433, 8898, 13, 1628, 439, 369, 1148, 499, 58565, 11, 499, 656, 539, 779, 279, 2547, 430, 374, 311, 387, 11, 719, 264, 12743, 10533, 11, 8530, 315, 34153, 477, 315, 1063, 1023, 24875, 863, 320, 16, 4563, 220, 868, 13, 1927, 11, 1806, 89612, 2028, 56203, 315, 279, 10533, 46480, 430, 832, 5496, 3245, 11, 1555, 4648, 11, 649, 617, 1403, 20362, 315, 14209, 13, 23150, 1057, 13162, 3217, 2349, 2736, 304, 420, 2324, 13, 24432, 2464, 1705, 6179, 603, 430, 2391, 264, 8254, 1060, 11008, 279, 31206, 18528, 315, 1057, 13162, 374, 6724, 5614, 13, 763, 832, 5647, 1070, 374, 912, 5133, 1990, 1057, 13162, 439, 2911, 323, 1057, 13162, 439, 3995, 1274, 11, 1095, 7636, 1057, 13162, 439, 2362, 1274, 11, 323, 3686, 1070, 374, 50106, 13, 1115, 50106, 374, 13605, 1555, 17743, 13, 2468, 4648, 11, 4869, 11, 1057, 13162, 37771, 3117, 810, 18336, 2349, 13, 578, 1054, 23425, 863, 315, 1057, 90495, 13162, 14091, 18685, 11, 323, 3686, 279, 502, 2324, 902, 4359, 6835, 706, 264, 5133, 449, 279, 2362, 13, 1102, 374, 264, 3451, 36698, 529, 315, 279, 2362, 13, 763, 34781, 315, 682, 279, 4442, 11, 433, 374, 279, 1890, 1732, 13, 29240, 311, 279, 2547, 656, 539, 7958, 279, 7718, 17743, 13, 4702, 439, 264, 1984, 374, 2103, 279, 1890, 1984, 3508, 22066, 304, 4339, 477, 34699, 1555, 14683, 8232, 477, 70939, 1555, 304, 87339, 2082, 11, 779, 584, 4985, 387, 279, 1890, 11434, 11, 8996, 279, 3451, 8407, 529, 1376, 304, 902, 1057, 44908, 527, 13605, 13, 5810, 374, 2500, 8197, 369, 23070, 439, 264, 2035, 315, 312, 12, 16588, 627, 38075, 398, 11, 3842, 304, 813, 4096, 315, 279, 502, 23070, 323, 279, 502, 9578, 2795, 430, 304, 279, 502, 1917, 430, 374, 5108, 11, 4359, 690, 387, 449, 813, 1274, 25, 1054, 1548, 690, 40194, 1475, 18036, 505, 872, 6548, 13, 16290, 690, 387, 912, 810, 26, 76350, 323, 31299, 323, 6784, 690, 387, 912, 810, 863, 320, 37284, 220, 1691, 13, 18, 11, 19, 570, 578, 1455, 35104, 287, 13189, 315, 279, 4648, 315, 10456, 6305, 374, 1057, 5647, 315, 4814, 11, 323, 279, 8850, 430, 584, 4985, 2646, 1518, 1124, 1578, 1389, 719, 279, 61636, 315, 3842, 753, 4339, 374, 430, 584, 4985, 1518, 832, 2500, 1578, 627, 2170, 369, 10811, 11, 568, 74549, 279, 7434, 315, 62532, 11, 323, 3629, 55385, 291, 279, 5108, 26135, 311, 264, 67698, 87838, 11, 568, 1550, 539, 2019, 4205, 922, 58384, 13, 1283, 1071, 430, 11103, 690, 539, 387, 264, 4668, 315, 279, 1917, 311, 2586, 320, 4151, 4488, 220, 717, 13, 914, 26, 25459, 220, 508, 13, 1927, 705, 719, 4856, 3118, 12135, 690, 387, 24411, 1139, 2555, 3686, 810, 44308, 13, 2100, 7957, 37863, 29786, 25, 1054, 791, 2324, 311, 2586, 42675, 264, 502, 72906, 315, 14209, 11, 1054, 4908, 279, 46968, 863, 320, 59447, 220, 508, 13, 1927, 8, 1981, 4359, 753, 2410, 311, 1893, 323, 15301, 66801, 279, 13693, 315, 2225, 12496, 323, 28899, 13, 88150, 50446, 527, 912, 810, 4255, 10297, 389, 90495, 3217, 1109, 1772, 4581, 372, 2324, 374, 4255, 10297, 389, 2324, 304, 8791, 2382, 863, 320, 791, 44468, 4184, 311, 25459, 11, 5345, 337, 2353, 220, 679, 20, 11, 220, 18216, 570, 2030, 8051, 7106, 39275, 323, 14079, 12135, 690, 32616, 11, 420, 1587, 539, 14647, 6037, 704, 279, 4623, 315, 58384, 13, 23150, 11, 4184, 311, 18587, 41810, 11, 1054, 2746, 10811, 19487, 11, 3451, 8607, 690, 2586, 505, 279, 11226, 323, 279, 9909, 323, 2503, 1523, 520, 2007, 304, 279, 26135, 315, 23070, 449, 37488, 11, 42608, 323, 25537, 529, 320, 40917, 220, 23, 13, 806, 705, 568, 36548, 8967, 430, 37488, 323, 279, 3885, 1053, 387, 312, 511, 4021, 1534, 11453, 41810, 4024, 389, 25, 19524, 4702, 439, 10811, 529, 20723, 1051, 3025, 311, 15641, 1461, 1306, 813, 62532, 11, 779, 584, 4985, 1440, 1855, 1023, 1389, 430, 753, 832, 2944, 3249, 584, 4985, 617, 3451, 86390, 940, 13162, 24535, 2030, 433, 690, 387, 6677, 389, 264, 19662, 2237, 11, 449, 88018, 3021, 323, 8830, 2288, 1109, 584, 617, 3596, 3967, 1603, 863, 320, 791, 10811, 18231, 11, 9506, 220, 4468, 19, 11, 220, 2495, 4390, 644, 279, 3177, 315, 1521, 90296, 1070, 527, 21319, 369, 23524, 23070, 439, 264, 2035, 315, 58384, 13, 2100, 279, 4948, 34457, 34342, 356, 1100, 7414, 6267, 25, 1054, 3947, 527, 264, 2294, 1396, 315, 25237, 6305, 45088, 603, 11, 323, 264, 29050, 13734, 315, 6699, 11, 20820, 11, 2911, 11, 374, 79422, 369, 603, 11, 2736, 28478, 315, 872, 1866, 7296, 11, 323, 79422, 369, 1057, 46035, 13, 3639, 16089, 2136, 1070, 690, 387, 369, 1124, 323, 369, 603, 994, 584, 3810, 872, 9546, 323, 4430, 872, 27830, 18319, 4452, 11, 433, 374, 3062, 311, 8631, 430, 23070, 374, 810, 1109, 264, 2035, 315, 58384, 13, 2100, 35131, 89764, 11, 994, 4691, 520, 264, 10017, 315, 92420, 529, 39720, 11, 3451, 10149, 584, 1518, 1057, 10456, 6305, 389, 279, 1023, 3185, 30, 20182, 20592, 11, 3451, 9642, 719, 449, 3885, 2288, 24535, 2582, 439, 3842, 66347, 8503, 6267, 25, 1054, 3947, 499, 4985, 4774, 701, 4885, 1578, 430, 617, 8208, 270, 2544, 1603, 499, 26, 323, 1070, 499, 4985, 449, 16267, 5371, 1524, 1475, 832, 430, 11263, 1139, 279, 27823, 2035, 1306, 499, 11453, 23150, 11, 23278, 666, 9881, 12090, 430, 1054, 644, 279, 502, 9578, 584, 690, 16681, 449, 832, 2500, 15871, 304, 3878, 315, 1057, 389, 24639, 304, 3771, 11, 430, 374, 11, 439, 20820, 323, 30393, 304, 1461, 13, 1115, 1587, 539, 3152, 430, 1023, 19476, 1389, 40721, 11, 4885, 11, 7555, 11, 10177, 11, 2911, 37444, 1389, 690, 912, 5129, 3881, 13, 358, 656, 270, 23, 771, 584, 690, 387, 3025, 311, 2019, 11, 3451, 12174, 10035, 11, 584, 1511, 311, 990, 3871, 20182, 477, 3451, 906, 3131, 1051, 12502, 24535, 4452, 1057, 6222, 9764, 304, 3771, 690, 387, 779, 25462, 430, 1521, 1023, 3445, 315, 23343, 690, 5042, 387, 40815, 863, 320, 14336, 1548, 5389, 529, 220, 9079, 304, 3639, 527, 584, 8748, 369, 30, 9052, 3987, 323, 19225, 7829, 11, 7281, 944, 11975, 220, 1049, 23, 11, 19685, 555, 18587, 40401, 612, 25953, 432, 1982, 4390, 9642, 11, 12135, 690, 11, 387, 42590, 2954, 323, 11838, 11, 719, 304, 5627, 902, 527, 7953, 1057, 28899, 11, 369, 1054, 3923, 912, 8071, 706, 3970, 11, 6463, 2487, 6755, 11, 6463, 279, 3823, 4851, 50178, 497, 4359, 706, 10235, 369, 1884, 889, 3021, 1461, 863, 320, 16, 4563, 220, 17, 13, 24, 570, 56733, 11, 439, 358, 6267, 304, 264, 74343, 369, 279, 28031, 4234, 11, 1054, 86924, 1070, 690, 387, 13, 21347, 312, 20486, 1639, 449, 1057, 10456, 6305, 374, 961, 315, 1057, 3987, 11, 719, 1057, 12135, 690, 387, 24411, 304, 4359, 863, 320, 32, 85127, 3861, 24934, 11, 43748, 9323, 315, 19397, 220, 1049, 20, 11, 220, 2148, 4390, 40, 4510, 279, 4459, 4623, 315, 5952, 3876, 1274, 304, 32450, 374, 41902, 627, 333, 499, 1550, 44917, 1124, 11, 264, 23222, 10652, 449, 1124, 1053, 387, 12266, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 791, 1005, 315, 279, 67459, 15249, 369, 30090, 32152, 27541, 30824, 3892, 4754, 22934, 25, 67459, 15249, 374, 264, 13882, 1511, 11, 31439, 1296, 902, 2728, 1202, 40075, 11, 1436, 304, 17966, 387, 8581, 304, 3544, 22673, 627, 3923, 1296, 11193, 32152, 27541, 5380, 791, 1455, 13687, 1296, 369, 32152, 13957, 374, 17395, 323, 1511, 10213, 369, 3495, 13, 54943, 1005, 6680, 7177, 311, 1505, 704, 422, 4423, 706, 4255, 72, 16629, 13, 54943, 1455, 3629, 1005, 279, 54560, 32426, 34323, 320, 37, 11637, 8, 1296, 477, 279, 362, 16, 34, 1296, 311, 58681, 4255, 72, 16629, 627, 3923, 1587, 459, 67459, 15249, 6767, 5380, 42144, 13, 578, 34323, 25065, 1296, 11, 1101, 3967, 439, 279, 21308, 34323, 25065, 1296, 11, 11193, 701, 2547, 753, 2077, 311, 13465, 320, 6200, 94697, 570, 578, 34323, 25065, 1296, 649, 387, 1511, 311, 4264, 369, 955, 220, 17, 20335, 627, 3957, 1070, 264, 1296, 311, 8417, 32152, 13957, 5380, 2127, 435, 11637, 1296, 374, 1511, 311, 58681, 4255, 72, 16629, 323, 20335, 555, 7649, 264, 1732, 753, 6680, 13465, 2237, 1306, 814, 617, 539, 35661, 369, 220, 23, 311, 220, 717, 4207, 2001, 6118, 25402, 13, 3277, 499, 617, 459, 9974, 7106, 11, 279, 5410, 6680, 7090, 5764, 459, 435, 11637, 1296, 11, 902, 3727, 433, 279, 1455, 4279, 955, 315, 32152, 13957, 1296, 627, 3923, 374, 279, 6811, 1990, 32152, 27541, 323, 32152, 13957, 5380, 2746, 499, 617, 32152, 13957, 11, 499, 617, 3428, 32152, 27541, 13, 82671, 11, 422, 499, 527, 16614, 311, 32152, 11, 499, 617, 3428, 32152, 13957, 13, 9925, 24292, 27541, 19813, 311, 1268, 27078, 701, 7917, 527, 311, 32152, 627, 4599, 656, 499, 1005, 67459, 15249, 5380, 2127, 67459, 15249, 1288, 387, 10887, 422, 279, 1296, 1121, 374, 35663, 25, 220, 16, 6596, 2819, 1306, 264, 220, 1135, 477, 220, 2075, 342, 34323, 8815, 49005, 220, 22, 13, 23, 477, 220, 23, 13, 15, 9653, 337, 7586, 15947, 13, 1442, 264, 5333, 706, 1047, 13033, 1697, 20335, 11, 264, 13454, 67459, 15249, 374, 11349, 520, 220, 21, 4235, 23, 5672, 323, 220, 717, 5672, 1306, 9889, 627, 3923, 1587, 7319, 32152, 27541, 3152, 5380, 15841, 24292, 27541, 19813, 311, 1268, 16614, 279, 2547, 753, 7917, 527, 304, 2077, 311, 32152, 13, 5234, 32152, 27541, 6276, 279, 7917, 315, 279, 2547, 311, 1005, 6680, 34323, 810, 13750, 11, 18189, 6680, 13465, 13, 4427, 19433, 323, 34625, 4442, 1253, 1520, 7417, 420, 27541, 627, 4438, 374, 67459, 15249, 1296, 2884, 5380, 2675, 4805, 636, 279, 67459, 15249, 520, 701, 10896, 753, 5274, 11, 264, 28913, 11, 8952, 11, 477, 10278, 13, 5810, 753, 1148, 8741, 25, 362, 29198, 477, 10896, 690, 1935, 264, 6680, 6205, 505, 264, 54344, 304, 701, 6916, 311, 1296, 701, 6041, 6680, 13465, 2237, 13, 1472, 4805, 1243, 7172, 264, 21655, 315, 34323, 56767, 304, 3090, 627, 22186, 54560, 5376, 32152, 13957, 5380, 82990, 11, 3892, 7978, 617, 21091, 430, 75568, 54560, 11, 1524, 304, 279, 19821, 315, 8834, 4814, 11, 706, 19543, 304, 264, 14278, 315, 95540, 258, 5990, 323, 459, 5376, 315, 30366, 263, 440, 258, 11, 902, 3135, 304, 18637, 315, 32152, 13957, 16853, 3923, 11384, 32152, 27541, 5380, 4213, 28222, 320, 35214, 12207, 50254, 323, 36517, 8834, 705, 459, 32899, 19433, 11, 323, 264, 10173, 1579, 304, 62345, 527, 279, 6156, 11384, 315, 32152, 13957, 627, 3957, 32152, 13957, 279, 1890, 439, 4255, 72, 16629, 5380, 644, 1274, 449, 32152, 13957, 11, 279, 7917, 527, 12153, 311, 1005, 32152, 13750, 13, 3277, 279, 7917, 4250, 35406, 34323, 11, 477, 6680, 13465, 11, 1202, 5990, 1977, 709, 304, 279, 6680, 13, 1442, 34323, 5990, 527, 5190, 1109, 13783, 719, 539, 1579, 3403, 311, 13519, 20335, 11, 16410, 1650, 420, 4255, 72, 16629, 627, 10445, 1587, 6812, 3204, 5353, 32152, 13957, 5380, 32, 3789, 5353, 315, 6812, 3204, 198, 15841, 24292, 13957, 374, 832, 315, 279, 3789, 53194, 737, 76527, 304, 1455, 11, 422, 539, 682, 11, 5157, 315, 6812, 3204, 13, 1115, 8741, 994, 701, 62268, 300, 3966, 311, 14155, 704, 810, 323, 810, 32152, 304, 2077, 311, 1579, 6680, 13465, 5990, 13, 9925, 24292, 73115, 701, 6680, 13465, 555, 28672, 279, 34323, 304, 7917, 13, 128001, 128000, 14755, 92752, 2136, 706, 1027, 4613, 439, 459, 19451, 315, 279, 4059, 323, 264, 1648, 315, 2324, 13, 15636, 11, 279, 7580, 315, 12917, 5348, 92752, 2136, 574, 311, 51630, 16024, 315, 3776, 38279, 488, 323, 8454, 433, 449, 264, 502, 6573, 3674, 9764, 902, 21190, 3776, 22519, 323, 24589, 505, 4251, 47748, 13, 66738, 1288, 8007, 279, 51286, 505, 902, 362, 1768, 69455, 574, 50178, 11, 1405, 40077, 1051, 44894, 439, 38279, 11, 73135, 11, 4382, 323, 3515, 264, 28694, 7829, 902, 4460, 311, 387, 198, 3528, 291, 1176, 220, 2075, 4339, 315, 220, 23654, 2860, 198, 3528, 291, 1566, 220, 2075, 4339, 315, 220, 23654, 2860, 198, 614, 113305, 13042, 36576, 11, 1070, 374, 3604, 912, 1648, 311, 1296, 2225, 704, 389, 459, 1524, 5569, 439, 1317, 439, 264, 3254, 7102, 83978, 1268, 279, 7177, 527, 1903, 13, 11904, 19675, 7701, 13919, 430, 279, 1486, 315, 2324, 374, 264, 2778, 369, 9764, 323, 430, 279, 2778, 706, 1027, 50500, 555, 1884, 889, 1053, 1505, 433, 24629, 311, 617, 3135, 430, 5353, 586, 9647, 311, 1427, 1523, 389, 1884, 889, 4498, 4920, 3885, 389, 279, 1296, 13, 128001, 128000, 14581, 2539, 39611, 81, 2005, 10667, 33711, 2192, 54585, 1003, 6388, 20421, 220, 23, 6498, 3804, 2788, 2930, 369, 1949, 304, 12445, 13, 8797, 12445, 39611, 81, 2005, 10667, 33711, 2192, 54585, 1003, 6388, 20421, 220, 23, 6498, 1207, 17265, 2930, 13, 578, 14930, 552, 6, 4212, 9744, 320, 5920, 220, 17, 570, 1666, 279, 81187, 27053, 389, 1077, 5361, 6935, 20782, 3806, 11, 1364, 24400, 389, 279, 3649, 922, 279, 18328, 2728, 311, 1077, 555, 1077, 38950, 323, 279, 10896, 3411, 1306, 1461, 13, 12220, 264, 3738, 6935, 20782, 454, 1990, 279, 11999, 323, 18172, 3115, 11, 279, 6762, 552, 1304, 264, 10077, 902, 5097, 279, 81187, 330, 24470, 3201, 498, 1405, 1364, 35006, 264, 8334, 8884, 1364, 15849, 374, 279, 18328, 11, 9455, 1461, 311, 387, 459, 3521, 15729, 323, 514, 9211, 788, 3995, 8334, 889, 6880, 5678, 279, 22249, 78, 32666, 13, 1102, 10800, 704, 430, 22249, 78, 32666, 574, 279, 14992, 2373, 315, 279, 81187, 596, 38950, 505, 279, 29827, 3347, 13, 4740, 11011, 810, 922, 1461, 505, 1077, 40396, 2391, 279, 18172, 892, 11, 279, 81187, 20628, 279, 18328, 389, 279, 26084, 11, 9455, 1461, 311, 617, 264, 16265, 1565, 323, 14733, 17743, 11, 35090, 568, 1047, 5616, 1766, 813, 1866, 17743, 11, 1701, 279, 40396, 311, 636, 18463, 505, 3885, 922, 1268, 568, 1288, 387, 627, 128001, 128000, 34, 17771, 44351, 934, 54386, 25692, 513, 20028, 6316, 887, 8047, 3930, 53052, 409, 54248, 665, 76185, 11, 665, 55467, 11, 409, 54248, 293, 8138, 1157, 6033, 665, 294, 81979, 8859, 1157, 19227, 645, 1744, 326, 6, 25632, 3326, 337, 382, 28573, 420, 311, 6498, 5380, 2028, 13819, 51259, 279, 2237, 315, 54248, 304, 6498, 11, 8753, 11, 91389, 54248, 11, 323, 54248, 304, 1023, 15823, 1778, 439, 15506, 13, 128001, 128000, 32, 15664, 315, 14248, 430, 5764, 20263, 58734, 11, 17054, 11, 8421, 12371, 61860, 8483, 10181, 11, 374, 3318, 389, 264, 11775, 15105, 311, 7858, 82026, 17188, 13, 8423, 53423, 11, 420, 3495, 690, 7945, 8641, 16410, 304, 872, 6514, 6787, 369, 6978, 13, 578, 5652, 1296, 51242, 3469, 1073, 75, 2480, 292, 24512, 323, 15670, 48131, 56406, 2737, 40335, 11, 6680, 11, 323, 75757, 11, 369, 279, 14209, 315, 279, 17188, 13, 1115, 11775, 5603, 690, 7945, 304, 67638, 287, 279, 6566, 315, 279, 8624, 439, 1664, 627, 60210, 505, 279, 3907, 315, 7188, 16376, 21510, 11, 279, 3907, 315, 7188, 520, 33108, 11, 323, 96285, 13566, 3907, 1051, 6532, 304, 279, 4500, 315, 279, 5557, 1694, 12793, 13, 2999, 13, 58734, 11497, 430, 279, 5652, 5557, 690, 1095, 279, 1732, 1440, 422, 814, 2736, 1047, 1027, 29374, 13, 1442, 459, 3927, 706, 59854, 11, 814, 1053, 539, 387, 520, 5326, 369, 279, 5217, 19405, 13, 1115, 1296, 374, 10171, 311, 36333, 279, 6566, 315, 19405, 439, 1664, 627, 1966, 264, 4528, 5296, 11, 11990, 315, 7931, 617, 51068, 523, 1609, 2234, 82371, 323, 82026, 17188, 30020, 2533, 279, 28817, 38305, 11, 902, 617, 1027, 23664, 20023, 5270, 2533, 220, 679, 18, 13, 97485, 11, 82026, 75968, 79212, 1385, 304, 42534, 1051, 539, 74436, 50518, 13, 59250, 505, 279, 4969, 13109, 1389, 15915, 65421, 2641, 2106, 78071, 11, 20437, 20461, 279, 4819, 449, 279, 50801, 2561, 50518, 11, 11951, 369, 279, 18468, 315, 82026, 17188, 13, 2435, 8040, 22498, 7649, 12823, 430, 617, 5190, 6904, 2968, 627, 19105, 57023, 423, 38639, 1565, 11, 889, 11767, 279, 65092, 88953, 2508, 1912, 520, 279, 4969, 13109, 11, 63011, 430, 905, 6928, 20124, 649, 3063, 311, 45089, 16296, 13, 1283, 706, 1027, 3318, 311, 2274, 18468, 12823, 369, 42068, 369, 1667, 13, 362, 3230, 2944, 315, 4747, 369, 279, 1274, 11754, 374, 279, 6650, 304, 279, 8271, 79212, 1385, 5157, 315, 42534, 320, 41543, 59822, 5893, 570, 1789, 420, 3044, 11, 459, 15360, 449, 82026, 17188, 19405, 706, 37318, 1027, 24884, 13, 578, 6650, 315, 30067, 71850, 54373, 304, 20023, 5270, 520, 279, 892, 315, 82026, 31188, 66159, 279, 23649, 16296, 315, 2073, 13059, 481, 85488, 13, 128001, 128000, 11180, 28082, 3161, 3475, 2239, 14905, 20756, 198, 2028, 3488, 574, 8767, 4691, 304, 198, 34996, 18343, 220, 868, 25, 83531, 389, 220, 19, 339, 4723, 220, 2366, 15, 27608, 220, 17, 198, 6777, 12092, 3445, 311, 4639, 304, 2324, 11, 7231, 2038, 11, 70772, 287, 6677, 11, 477, 21745, 320, 38318, 8, 439, 311, 1268, 311, 656, 477, 4048, 2555, 30228, 477, 7512, 8, 539, 1193, 369, 2450, 477, 26501, 719, 1101, 369, 2324, 3217, 11, 17432, 2349, 11, 323, 17743, 4857, 627, 21076, 287, 323, 24944, 18872, 555, 13639, 527, 26154, 304, 279, 12917, 1920, 13, 1102, 374, 16472, 3062, 369, 13639, 311, 6106, 430, 279, 2380, 11852, 315, 12917, 5829, 264, 5190, 2237, 315, 25702, 18000, 439, 5300, 304, 30411, 25517, 596, 72906, 315, 279, 12917, 71856, 1920, 627, 3947, 527, 2380, 72450, 5990, 315, 12917, 323, 6975, 7640, 902, 5764, 512, 48091, 315, 45377, 25, 18722, 71251, 2237, 25, 18722, 10869, 2237, 19813, 311, 39662, 11, 89746, 11, 323, 16420, 2065, 627, 39, 768, 11, 584, 1253, 2019, 430, 279, 2237, 315, 12917, 902, 5829, 264, 5190, 2237, 315, 25702, 18000, 439, 5300, 304, 25517, 596, 72906, 374, 279, 52828, 2237, 13, 128001 ]
[ -100, 791, 1005, 315, 279, 67459, 15249, 369, 30090, 32152, 27541, 30824, 3892, 4754, 22934, 25, 67459, 15249, 374, 264, 13882, 1511, 11, 31439, 1296, 902, 2728, 1202, 40075, 11, 1436, 304, 17966, 387, 8581, 304, 3544, 22673, 627, 3923, 1296, 11193, 32152, 27541, 5380, 791, 1455, 13687, 1296, 369, 32152, 13957, 374, 17395, 323, 1511, 10213, 369, 3495, 13, 54943, 1005, 6680, 7177, 311, 1505, 704, 422, 4423, 706, 4255, 72, 16629, 13, 54943, 1455, 3629, 1005, 279, 54560, 32426, 34323, 320, 37, 11637, 8, 1296, 477, 279, 362, 16, 34, 1296, 311, 58681, 4255, 72, 16629, 627, 3923, 1587, 459, 67459, 15249, 6767, 5380, 42144, 13, 578, 34323, 25065, 1296, 11, 1101, 3967, 439, 279, 21308, 34323, 25065, 1296, 11, 11193, 701, 2547, 753, 2077, 311, 13465, 320, 6200, 94697, 570, 578, 34323, 25065, 1296, 649, 387, 1511, 311, 4264, 369, 955, 220, 17, 20335, 627, 3957, 1070, 264, 1296, 311, 8417, 32152, 13957, 5380, 2127, 435, 11637, 1296, 374, 1511, 311, 58681, 4255, 72, 16629, 323, 20335, 555, 7649, 264, 1732, 753, 6680, 13465, 2237, 1306, 814, 617, 539, 35661, 369, 220, 23, 311, 220, 717, 4207, 2001, 6118, 25402, 13, 3277, 499, 617, 459, 9974, 7106, 11, 279, 5410, 6680, 7090, 5764, 459, 435, 11637, 1296, 11, 902, 3727, 433, 279, 1455, 4279, 955, 315, 32152, 13957, 1296, 627, 3923, 374, 279, 6811, 1990, 32152, 27541, 323, 32152, 13957, 5380, 2746, 499, 617, 32152, 13957, 11, 499, 617, 3428, 32152, 27541, 13, 82671, 11, 422, 499, 527, 16614, 311, 32152, 11, 499, 617, 3428, 32152, 13957, 13, 9925, 24292, 27541, 19813, 311, 1268, 27078, 701, 7917, 527, 311, 32152, 627, 4599, 656, 499, 1005, 67459, 15249, 5380, 2127, 67459, 15249, 1288, 387, 10887, 422, 279, 1296, 1121, 374, 35663, 25, 220, 16, 6596, 2819, 1306, 264, 220, 1135, 477, 220, 2075, 342, 34323, 8815, 49005, 220, 22, 13, 23, 477, 220, 23, 13, 15, 9653, 337, 7586, 15947, 13, 1442, 264, 5333, 706, 1047, 13033, 1697, 20335, 11, 264, 13454, 67459, 15249, 374, 11349, 520, 220, 21, 4235, 23, 5672, 323, 220, 717, 5672, 1306, 9889, 627, 3923, 1587, 7319, 32152, 27541, 3152, 5380, 15841, 24292, 27541, 19813, 311, 1268, 16614, 279, 2547, 753, 7917, 527, 304, 2077, 311, 32152, 13, 5234, 32152, 27541, 6276, 279, 7917, 315, 279, 2547, 311, 1005, 6680, 34323, 810, 13750, 11, 18189, 6680, 13465, 13, 4427, 19433, 323, 34625, 4442, 1253, 1520, 7417, 420, 27541, 627, 4438, 374, 67459, 15249, 1296, 2884, 5380, 2675, 4805, 636, 279, 67459, 15249, 520, 701, 10896, 753, 5274, 11, 264, 28913, 11, 8952, 11, 477, 10278, 13, 5810, 753, 1148, 8741, 25, 362, 29198, 477, 10896, 690, 1935, 264, 6680, 6205, 505, 264, 54344, 304, 701, 6916, 311, 1296, 701, 6041, 6680, 13465, 2237, 13, 1472, 4805, 1243, 7172, 264, 21655, 315, 34323, 56767, 304, 3090, 627, 22186, 54560, 5376, 32152, 13957, 5380, 82990, 11, 3892, 7978, 617, 21091, 430, 75568, 54560, 11, 1524, 304, 279, 19821, 315, 8834, 4814, 11, 706, 19543, 304, 264, 14278, 315, 95540, 258, 5990, 323, 459, 5376, 315, 30366, 263, 440, 258, 11, 902, 3135, 304, 18637, 315, 32152, 13957, 16853, 3923, 11384, 32152, 27541, 5380, 4213, 28222, 320, 35214, 12207, 50254, 323, 36517, 8834, 705, 459, 32899, 19433, 11, 323, 264, 10173, 1579, 304, 62345, 527, 279, 6156, 11384, 315, 32152, 13957, 627, 3957, 32152, 13957, 279, 1890, 439, 4255, 72, 16629, 5380, 644, 1274, 449, 32152, 13957, 11, 279, 7917, 527, 12153, 311, 1005, 32152, 13750, 13, 3277, 279, 7917, 4250, 35406, 34323, 11, 477, 6680, 13465, 11, 1202, 5990, 1977, 709, 304, 279, 6680, 13, 1442, 34323, 5990, 527, 5190, 1109, 13783, 719, 539, 1579, 3403, 311, 13519, 20335, 11, 16410, 1650, 420, 4255, 72, 16629, 627, 10445, 1587, 6812, 3204, 5353, 32152, 13957, 5380, 32, 3789, 5353, 315, 6812, 3204, 198, 15841, 24292, 13957, 374, 832, 315, 279, 3789, 53194, 737, 76527, 304, 1455, 11, 422, 539, 682, 11, 5157, 315, 6812, 3204, 13, 1115, 8741, 994, 701, 62268, 300, 3966, 311, 14155, 704, 810, 323, 810, 32152, 304, 2077, 311, 1579, 6680, 13465, 5990, 13, 9925, 24292, 73115, 701, 6680, 13465, 555, 28672, 279, 34323, 304, 7917, 13, 128001, -100, 14755, 92752, 2136, 706, 1027, 4613, 439, 459, 19451, 315, 279, 4059, 323, 264, 1648, 315, 2324, 13, 15636, 11, 279, 7580, 315, 12917, 5348, 92752, 2136, 574, 311, 51630, 16024, 315, 3776, 38279, 488, 323, 8454, 433, 449, 264, 502, 6573, 3674, 9764, 902, 21190, 3776, 22519, 323, 24589, 505, 4251, 47748, 13, 66738, 1288, 8007, 279, 51286, 505, 902, 362, 1768, 69455, 574, 50178, 11, 1405, 40077, 1051, 44894, 439, 38279, 11, 73135, 11, 4382, 323, 3515, 264, 28694, 7829, 902, 4460, 311, 387, 198, 3528, 291, 1176, 220, 2075, 4339, 315, 220, 23654, 2860, 198, 3528, 291, 1566, 220, 2075, 4339, 315, 220, 23654, 2860, 198, 614, 113305, 13042, 36576, 11, 1070, 374, 3604, 912, 1648, 311, 1296, 2225, 704, 389, 459, 1524, 5569, 439, 1317, 439, 264, 3254, 7102, 83978, 1268, 279, 7177, 527, 1903, 13, 11904, 19675, 7701, 13919, 430, 279, 1486, 315, 2324, 374, 264, 2778, 369, 9764, 323, 430, 279, 2778, 706, 1027, 50500, 555, 1884, 889, 1053, 1505, 433, 24629, 311, 617, 3135, 430, 5353, 586, 9647, 311, 1427, 1523, 389, 1884, 889, 4498, 4920, 3885, 389, 279, 1296, 13, 128001, -100, 14581, 2539, 39611, 81, 2005, 10667, 33711, 2192, 54585, 1003, 6388, 20421, 220, 23, 6498, 3804, 2788, 2930, 369, 1949, 304, 12445, 13, 8797, 12445, 39611, 81, 2005, 10667, 33711, 2192, 54585, 1003, 6388, 20421, 220, 23, 6498, 1207, 17265, 2930, 13, 578, 14930, 552, 6, 4212, 9744, 320, 5920, 220, 17, 570, 1666, 279, 81187, 27053, 389, 1077, 5361, 6935, 20782, 3806, 11, 1364, 24400, 389, 279, 3649, 922, 279, 18328, 2728, 311, 1077, 555, 1077, 38950, 323, 279, 10896, 3411, 1306, 1461, 13, 12220, 264, 3738, 6935, 20782, 454, 1990, 279, 11999, 323, 18172, 3115, 11, 279, 6762, 552, 1304, 264, 10077, 902, 5097, 279, 81187, 330, 24470, 3201, 498, 1405, 1364, 35006, 264, 8334, 8884, 1364, 15849, 374, 279, 18328, 11, 9455, 1461, 311, 387, 459, 3521, 15729, 323, 514, 9211, 788, 3995, 8334, 889, 6880, 5678, 279, 22249, 78, 32666, 13, 1102, 10800, 704, 430, 22249, 78, 32666, 574, 279, 14992, 2373, 315, 279, 81187, 596, 38950, 505, 279, 29827, 3347, 13, 4740, 11011, 810, 922, 1461, 505, 1077, 40396, 2391, 279, 18172, 892, 11, 279, 81187, 20628, 279, 18328, 389, 279, 26084, 11, 9455, 1461, 311, 617, 264, 16265, 1565, 323, 14733, 17743, 11, 35090, 568, 1047, 5616, 1766, 813, 1866, 17743, 11, 1701, 279, 40396, 311, 636, 18463, 505, 3885, 922, 1268, 568, 1288, 387, 627, 128001, -100, 34, 17771, 44351, 934, 54386, 25692, 513, 20028, 6316, 887, 8047, 3930, 53052, 409, 54248, 665, 76185, 11, 665, 55467, 11, 409, 54248, 293, 8138, 1157, 6033, 665, 294, 81979, 8859, 1157, 19227, 645, 1744, 326, 6, 25632, 3326, 337, 382, 28573, 420, 311, 6498, 5380, 2028, 13819, 51259, 279, 2237, 315, 54248, 304, 6498, 11, 8753, 11, 91389, 54248, 11, 323, 54248, 304, 1023, 15823, 1778, 439, 15506, 13, 128001, -100, 32, 15664, 315, 14248, 430, 5764, 20263, 58734, 11, 17054, 11, 8421, 12371, 61860, 8483, 10181, 11, 374, 3318, 389, 264, 11775, 15105, 311, 7858, 82026, 17188, 13, 8423, 53423, 11, 420, 3495, 690, 7945, 8641, 16410, 304, 872, 6514, 6787, 369, 6978, 13, 578, 5652, 1296, 51242, 3469, 1073, 75, 2480, 292, 24512, 323, 15670, 48131, 56406, 2737, 40335, 11, 6680, 11, 323, 75757, 11, 369, 279, 14209, 315, 279, 17188, 13, 1115, 11775, 5603, 690, 7945, 304, 67638, 287, 279, 6566, 315, 279, 8624, 439, 1664, 627, 60210, 505, 279, 3907, 315, 7188, 16376, 21510, 11, 279, 3907, 315, 7188, 520, 33108, 11, 323, 96285, 13566, 3907, 1051, 6532, 304, 279, 4500, 315, 279, 5557, 1694, 12793, 13, 2999, 13, 58734, 11497, 430, 279, 5652, 5557, 690, 1095, 279, 1732, 1440, 422, 814, 2736, 1047, 1027, 29374, 13, 1442, 459, 3927, 706, 59854, 11, 814, 1053, 539, 387, 520, 5326, 369, 279, 5217, 19405, 13, 1115, 1296, 374, 10171, 311, 36333, 279, 6566, 315, 19405, 439, 1664, 627, 1966, 264, 4528, 5296, 11, 11990, 315, 7931, 617, 51068, 523, 1609, 2234, 82371, 323, 82026, 17188, 30020, 2533, 279, 28817, 38305, 11, 902, 617, 1027, 23664, 20023, 5270, 2533, 220, 679, 18, 13, 97485, 11, 82026, 75968, 79212, 1385, 304, 42534, 1051, 539, 74436, 50518, 13, 59250, 505, 279, 4969, 13109, 1389, 15915, 65421, 2641, 2106, 78071, 11, 20437, 20461, 279, 4819, 449, 279, 50801, 2561, 50518, 11, 11951, 369, 279, 18468, 315, 82026, 17188, 13, 2435, 8040, 22498, 7649, 12823, 430, 617, 5190, 6904, 2968, 627, 19105, 57023, 423, 38639, 1565, 11, 889, 11767, 279, 65092, 88953, 2508, 1912, 520, 279, 4969, 13109, 11, 63011, 430, 905, 6928, 20124, 649, 3063, 311, 45089, 16296, 13, 1283, 706, 1027, 3318, 311, 2274, 18468, 12823, 369, 42068, 369, 1667, 13, 362, 3230, 2944, 315, 4747, 369, 279, 1274, 11754, 374, 279, 6650, 304, 279, 8271, 79212, 1385, 5157, 315, 42534, 320, 41543, 59822, 5893, 570, 1789, 420, 3044, 11, 459, 15360, 449, 82026, 17188, 19405, 706, 37318, 1027, 24884, 13, 578, 6650, 315, 30067, 71850, 54373, 304, 20023, 5270, 520, 279, 892, 315, 82026, 31188, 66159, 279, 23649, 16296, 315, 2073, 13059, 481, 85488, 13, 128001, -100, 11180, 28082, 3161, 3475, 2239, 14905, 20756, 198, 2028, 3488, 574, 8767, 4691, 304, 198, 34996, 18343, 220, 868, 25, 83531, 389, 220, 19, 339, 4723, 220, 2366, 15, 27608, 220, 17, 198, 6777, 12092, 3445, 311, 4639, 304, 2324, 11, 7231, 2038, 11, 70772, 287, 6677, 11, 477, 21745, 320, 38318, 8, 439, 311, 1268, 311, 656, 477, 4048, 2555, 30228, 477, 7512, 8, 539, 1193, 369, 2450, 477, 26501, 719, 1101, 369, 2324, 3217, 11, 17432, 2349, 11, 323, 17743, 4857, 627, 21076, 287, 323, 24944, 18872, 555, 13639, 527, 26154, 304, 279, 12917, 1920, 13, 1102, 374, 16472, 3062, 369, 13639, 311, 6106, 430, 279, 2380, 11852, 315, 12917, 5829, 264, 5190, 2237, 315, 25702, 18000, 439, 5300, 304, 30411, 25517, 596, 72906, 315, 279, 12917, 71856, 1920, 627, 3947, 527, 2380, 72450, 5990, 315, 12917, 323, 6975, 7640, 902, 5764, 512, 48091, 315, 45377, 25, 18722, 71251, 2237, 25, 18722, 10869, 2237, 19813, 311, 39662, 11, 89746, 11, 323, 16420, 2065, 627, 39, 768, 11, 584, 1253, 2019, 430, 279, 2237, 315, 12917, 902, 5829, 264, 5190, 2237, 315, 25702, 18000, 439, 5300, 304, 25517, 596, 72906, 374, 279, 52828, 2237, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197 ]
[ 128000, 24818, 26076, 304, 47843, 29516, 320, 2983, 997, 791, 1920, 315, 15061, 1523, 315, 3544, 3691, 35715, 1139, 9333, 88045, 35715, 198, 10445, 374, 74502, 3062, 5380, 18433, 1193, 88045, 35715, 649, 3351, 1139, 279, 6680, 627, 3923, 374, 279, 1920, 315, 74502, 198, 44, 2969, 2754, 278, 344, 661, 82375, 11, 297, 288, 5237, 59838, 11, 26587, 5, 70, 543, 62564, 14607, 316, 613, 11, 62268, 300, 11, 2678, 92234, 11, 3544, 92234, 198, 9241, 2267, 762, 288, 527, 9967, 198, 27844, 374, 37433, 291, 323, 64437, 198, 12115, 430, 34161, 279, 11013, 311, 279, 23152, 198, 9241, 2267, 762, 288, 5387, 198, 2028, 2942, 19159, 41950, 521, 11, 19588, 521, 323, 5541, 521, 627, 1360, 13677, 85657, 902, 5727, 279, 49242, 41950, 521, 198, 29353, 505, 12571, 3691, 374, 42101, 198, 2028, 374, 1405, 44225, 315, 279, 3691, 35715, 1139, 279, 6680, 20930, 5097, 2035, 627, 50212, 73394, 902, 374, 1511, 311, 1464, 1523, 2466, 8834, 35715, 1139, 2678, 6305, 627, 791, 2942, 5727, 5541, 521, 323, 17055, 72967, 579, 13935, 311, 5622, 24032, 627, 3923, 656, 499, 1005, 311, 1296, 369, 70913, 5380, 3923, 656, 499, 1005, 311, 1296, 369, 70181, 198, 37196, 5848, 51483, 11, 814, 527, 1511, 311, 4732, 709, 11742, 25481, 627, 3923, 527, 279, 6956, 315, 279, 6680, 5380, 14404, 6680, 7917, 198, 6161, 6680, 7917, 198, 4198, 14643, 323, 21552, 78284, 198, 1360, 13677, 59854, 323, 3276, 275, 5241, 1354, 198, 9028, 894, 24463, 660, 6680, 3201, 505, 4851, 520, 1579, 7410, 627, 1876, 14488, 2212, 36853, 198, 9028, 894, 24840, 19472, 660, 6680, 7119, 279, 4851, 520, 3428, 7410, 9093, 23537, 64100, 627, 45, 116607, 56429, 11, 490, 14576, 11, 31071, 331, 355, 11, 31071, 14946, 8083, 11, 99288, 14559, 11, 21271, 11, 56249, 11, 958, 16845, 278, 24569, 11, 1891, 95896, 76, 198, 32, 1912, 315, 19338, 16239, 35663, 2849, 6650, 198, 69899, 304, 832, 3158, 11, 4871, 264, 39654, 4869, 649, 5353, 7410, 323, 5674, 311, 36853, 198, 6854, 75272, 62027, 20438, 11, 8541, 311, 5944, 304, 279, 6680, 323, 649, 1101, 5353, 264, 14580, 15756, 414, 198, 12978, 82, 701, 22852, 1887, 6144, 499, 555, 12917, 433, 1268, 311, 4465, 279, 8624, 449, 264, 58764, 2373, 315, 279, 1853, 11968, 627, 6882, 19704, 6784, 719, 617, 912, 1972, 2515, 389, 279, 1853, 11968, 198, 32, 11742, 20278, 430, 374, 1511, 304, 23842, 11, 27208, 11, 6514, 433, 27344, 315, 264, 8624, 198, 3214, 1333, 4529, 1139, 279, 2547, 430, 11041, 477, 22223, 11742, 25481, 198, 791, 7504, 311, 5623, 4500, 198, 16, 13, 13791, 323, 3495, 198, 17, 13, 37207, 11217, 1903, 304, 264, 10278, 198, 18, 29870, 31717, 258, 950, 19622, 389, 20438, 198, 20, 22338, 992, 9025, 389, 264, 2678, 1912, 315, 9498, 1274, 198, 21, 13, 33135, 9025, 389, 1274, 449, 279, 8624, 198, 22, 4045, 1912, 889, 656, 539, 636, 279, 5623, 198, 23, 1087, 266, 4167, 41223, 439, 1317, 439, 814, 527, 304, 1005, 627, 24, 1087, 60104, 682, 1296, 323, 706, 264, 5842, 627, 16, 11494, 374, 15246, 311, 3544, 15055, 315, 25407, 6968, 264, 15756, 414, 902, 374, 28532, 369, 279, 9572, 7917, 13, 13596, 11494, 374, 15921, 449, 264, 8624, 323, 279, 43745, 57878, 4251, 6680, 7917, 17843, 59854, 374, 28532, 13, 4314, 527, 1243, 75754, 3871, 311, 8356, 5043, 85292, 7917, 430, 4465, 279, 8624, 13, 4314, 527, 1243, 19180, 1139, 27833, 323, 1306, 12621, 814, 527, 3148, 9124, 627, 53062, 279, 1948, 315, 279, 16312, 13, 41315, 315, 682, 37833, 5237, 25734, 311, 31127, 1082, 3177, 304, 1935, 13, 17586, 420, 7397, 74767, 7846, 1431, 1935, 2035, 323, 279, 6136, 8434, 1431, 617, 4907, 627, 21471, 7917, 323, 20703, 460, 198, 48852, 520, 279, 5740, 389, 279, 16312, 11, 12782, 40589, 323, 24463, 649, 1431, 55517, 779, 994, 279, 7771, 7917, 527, 259, 5673, 307, 279, 20703, 460, 374, 1825, 323, 814, 649, 12731, 1555, 1070, 627, 92050, 374, 279, 16312, 11, 539, 15499, 19937, 311, 2187, 24463, 323, 12782, 40589, 311, 5944, 6847, 5944, 1555, 3805, 3634, 311, 279, 11091, 285, 1037, 7917, 198, 94188, 289, 14092, 4018, 2045, 198, 31996, 287, 279, 16312, 323, 18417, 3090, 53754, 198, 46889, 3090, 505, 20282, 311, 16312, 198, 791, 4814, 315, 3090, 1555, 3721, 96649, 505, 279, 20703, 460, 198, 29353, 7351, 304, 264, 6136, 198, 16, 13, 10164, 11141, 4245, 311, 8798, 505, 279, 7160, 1555, 279, 20703, 460, 198, 17, 13, 10164, 11031, 704, 315, 279, 7917, 4245, 311, 2709, 8801, 285, 198, 18, 1345, 10296, 505, 62027, 7917, 198, 19, 47487, 279, 7917, 1541, 1431, 409, 26233, 660, 3090, 374, 13541, 709, 1555, 279, 865, 982, 76, 198, 20, 46445, 82, 1935, 304, 3090, 505, 279, 5015, 128001, 128000, 2118, 1128, 44322, 19465, 15009, 3629, 19813, 311, 14713, 323, 3347, 287, 21389, 505, 832, 2035, 311, 2500, 2085, 7060, 2585, 927, 1268, 279, 21389, 527, 35319, 477, 264, 2867, 8830, 315, 682, 279, 11944, 31206, 24717, 2476, 15100, 45568, 735, 13, 18866, 520, 279, 22108, 10181, 315, 12053, 13, 1054, 38234, 18015, 34458, 9711, 264, 2763, 810, 25679, 389, 50545, 704, 6956, 1139, 3927, 13761, 323, 5865, 2476, 1778, 439, 8830, 1268, 311, 10484, 275, 8046, 2585, 14807, 323, 46940, 7969, 13, 763, 5369, 11, 28367, 6160, 22012, 1541, 1431, 1390, 311, 23564, 279, 832, 7394, 19465, 15009, 315, 459, 47120, 719, 1390, 1054, 998, 1977, 264, 743, 315, 7526, 430, 690, 2187, 499, 311, 656, 1690, 4595, 315, 29882, 11, 15851, 315, 701, 842, 3851, 11, 1790, 810, 19019, 11, 10484, 13215, 2915, 323, 7168, 2915, 2476, 2795, 18866, 627, 5451, 56190, 315, 14830, 8522, 198, 63717, 315, 3508, 499, 1650, 433, 28367, 34458, 477, 13241, 19465, 15009, 11, 279, 2115, 706, 22088, 311, 1304, 1063, 2010, 3195, 304, 14830, 8522, 11, 1778, 439, 1701, 46036, 8162, 76991, 369, 2853, 53421, 11, 32100, 323, 22514, 5623, 5788, 13, 1556, 3187, 374, 802, 880, 107718, 11, 459, 7294, 1474, 8093, 532, 5623, 6832, 33289, 505, 279, 8620, 10437, 35311, 6798, 6136, 374, 64481, 323, 11646, 13, 16644, 430, 1475, 1060, 11, 69263, 34527, 82, 220, 3101, 3610, 311, 220, 2636, 3610, 1274, 323, 11384, 220, 16, 3610, 311, 220, 17, 3610, 16779, 11, 10213, 304, 279, 11469, 1917, 11, 23917, 323, 810, 31368, 2561, 8336, 315, 802, 880, 107718, 10827, 11217, 527, 77720, 4460, 627, 64755, 423, 13, 6706, 300, 2785, 753, 27692, 520, 279, 28574, 33108, 5165, 32184, 323, 279, 3907, 315, 7188, 11, 33108, 11, 17903, 449, 264, 400, 2983, 13, 20, 46149, 13500, 505, 279, 8766, 323, 11220, 17872, 36593, 5114, 11, 46036, 23916, 1799, 5650, 1634, 28091, 2749, 73078, 311, 8356, 802, 880, 58504, 292, 13935, 11, 902, 374, 31368, 16489, 1139, 802, 880, 107718, 555, 11742, 3445, 13, 2057, 24490, 279, 41580, 11, 279, 12074, 1176, 3549, 264, 502, 41861, 38970, 304, 279, 8162, 8629, 2191, 13, 9479, 11, 814, 9277, 45964, 323, 35311, 6798, 21389, 304, 279, 41580, 33869, 779, 430, 279, 3956, 315, 1884, 21389, 16681, 291, 304, 279, 502, 41861, 38970, 311, 8356, 264, 71261, 311, 802, 880, 58504, 292, 13935, 13, 578, 12074, 1101, 1243, 3779, 304, 279, 35311, 6798, 9693, 998, 33002, 393, 10617, 15207, 779, 279, 420, 71261, 1053, 387, 16489, 311, 802, 880, 58504, 292, 13935, 627, 791, 12074, 13240, 872, 1749, 1436, 8356, 279, 5623, 369, 220, 914, 31291, 824, 6514, 13, 578, 21349, 5603, 315, 60508, 802, 880, 107718, 505, 279, 6136, 7194, 922, 400, 17, 13, 1115, 1060, 11, 5960, 93123, 6830, 688, 285, 16383, 279, 5557, 311, 30536, 433, 323, 5569, 433, 709, 13, 578, 2883, 16388, 311, 617, 28367, 802, 880, 107718, 304, 279, 8312, 8957, 555, 220, 679, 18, 627, 32, 810, 17395, 3851, 315, 28367, 34458, 18065, 15009, 24156, 6956, 311, 990, 4871, 264, 36041, 278, 13, 763, 279, 34479, 323, 51876, 19647, 11, 20957, 14993, 311, 8417, 994, 264, 19923, 374, 5644, 311, 387, 3242, 40381, 660, 11, 902, 814, 656, 555, 46071, 279, 19923, 753, 7865, 13, 2030, 1524, 422, 814, 12722, 8101, 994, 264, 19923, 374, 25568, 15853, 11, 78220, 54682, 65383, 279, 19923, 449, 40699, 505, 264, 12466, 14019, 706, 1193, 264, 220, 1272, 3346, 2450, 4478, 627, 34141, 420, 1060, 11, 11826, 435, 44061, 797, 1414, 753, 1912, 520, 279, 30791, 12411, 10181, 315, 12053, 320, 7780, 8, 304, 72826, 8040, 264, 48739, 1903, 505, 70002, 974, 46033, 388, 320, 18, 570, 32745, 279, 48739, 814, 9277, 40699, 323, 46036, 36041, 10700, 7917, 430, 16914, 326, 1088, 258, 4954, 36908, 320, 1820, 25568, 2987, 8450, 8, 323, 9124, 70002, 521, 304, 2077, 13, 578, 48739, 4375, 1093, 420, 25, 362, 37500, 14242, 459, 10065, 753, 220, 1691, 11477, 25568, 2987, 11008, 323, 8554, 994, 25568, 2987, 374, 1455, 4461, 311, 1212, 13, 578, 48739, 13912, 279, 40699, 7878, 369, 2380, 2919, 11, 779, 264, 24195, 50398, 279, 48739, 1139, 279, 19923, 753, 85656, 264, 1938, 477, 1403, 1603, 25568, 2987, 13, 3277, 326, 1088, 258, 4954, 36908, 1765, 4282, 1555, 264, 279, 19923, 11, 279, 46036, 7917, 4871, 279, 48739, 11388, 433, 323, 39201, 279, 7645, 315, 70002, 2315, 13, 578, 70002, 2315, 96630, 279, 48739, 323, 4984, 279, 40699, 13, 763, 279, 1176, 9269, 1629, 11953, 704, 304, 30221, 11, 435, 44061, 797, 1414, 2795, 279, 3756, 1047, 264, 220, 1041, 3346, 2450, 4478, 627, 11663, 9045, 311, 2274, 14830, 9139, 88886, 527, 2103, 304, 279, 27692, 7649, 10474, 13, 1789, 3187, 11, 12074, 527, 3411, 311, 33294, 279, 1081, 729, 278, 24032, 430, 48383, 304, 279, 18340, 13, 1054, 3947, 527, 264, 1396, 315, 2574, 1521, 24032, 14614, 656, 7446, 304, 279, 92234, 430, 584, 1120, 9167, 1431, 49523, 1139, 2476, 2795, 5587, 13, 1054, 3947, 374, 912, 2944, 3249, 584, 7846, 1431, 24490, 1124, 311, 1180, 389, 279, 17981, 315, 872, 3552, 4856, 1109, 1120, 389, 872, 1866, 17981, 49216, 28623, 753, 2128, 706, 55315, 1081, 729, 278, 24032, 311, 4322, 99740, 2473, 13, 97664, 10599, 99740, 2473, 68, 11, 279, 17854, 2411, 430, 11384, 279, 19405, 11, 2477, 24031, 279, 8582, 92234, 323, 25501, 264, 3738, 17915, 1306, 902, 433, 18417, 3339, 1202, 96553, 28896, 13, 1102, 1243, 43186, 279, 2547, 555, 69393, 11, 14718, 2324, 62999, 99857, 304, 12697, 13, 5587, 753, 2128, 6773, 311, 9567, 650, 13, 99740, 2473, 68, 520, 1202, 1866, 1847, 555, 3794, 264, 3650, 62114, 9419, 9211, 718, 689, 74110, 26800, 311, 8356, 279, 12223, 934, 34106, 1355, 49205, 650, 13, 99740, 2473, 68, 28896, 13, 1054, 2746, 510, 36, 13, 74110, 24032, 60, 1051, 3339, 279, 8450, 323, 264, 650, 13, 99740, 2473, 68, 17854, 2411, 3782, 304, 11, 433, 1053, 1781, 1023, 650, 13, 99740, 2473, 68, 1051, 2736, 1070, 13, 1102, 8434, 1431, 15866, 2476, 2795, 5587, 13, 578, 26453, 1051, 6992, 304, 3794, 279, 1749, 311, 990, 304, 264, 8814, 1646, 1566, 1060, 320, 19, 570, 128001 ]
[ -100, 24818, 26076, 304, 47843, 29516, 320, 2983, 997, 791, 1920, 315, 15061, 1523, 315, 3544, 3691, 35715, 1139, 9333, 88045, 35715, 198, 10445, 374, 74502, 3062, 5380, 18433, 1193, 88045, 35715, 649, 3351, 1139, 279, 6680, 627, 3923, 374, 279, 1920, 315, 74502, 198, 44, 2969, 2754, 278, 344, 661, 82375, 11, 297, 288, 5237, 59838, 11, 26587, 5, 70, 543, 62564, 14607, 316, 613, 11, 62268, 300, 11, 2678, 92234, 11, 3544, 92234, 198, 9241, 2267, 762, 288, 527, 9967, 198, 27844, 374, 37433, 291, 323, 64437, 198, 12115, 430, 34161, 279, 11013, 311, 279, 23152, 198, 9241, 2267, 762, 288, 5387, 198, 2028, 2942, 19159, 41950, 521, 11, 19588, 521, 323, 5541, 521, 627, 1360, 13677, 85657, 902, 5727, 279, 49242, 41950, 521, 198, 29353, 505, 12571, 3691, 374, 42101, 198, 2028, 374, 1405, 44225, 315, 279, 3691, 35715, 1139, 279, 6680, 20930, 5097, 2035, 627, 50212, 73394, 902, 374, 1511, 311, 1464, 1523, 2466, 8834, 35715, 1139, 2678, 6305, 627, 791, 2942, 5727, 5541, 521, 323, 17055, 72967, 579, 13935, 311, 5622, 24032, 627, 3923, 656, 499, 1005, 311, 1296, 369, 70913, 5380, 3923, 656, 499, 1005, 311, 1296, 369, 70181, 198, 37196, 5848, 51483, 11, 814, 527, 1511, 311, 4732, 709, 11742, 25481, 627, 3923, 527, 279, 6956, 315, 279, 6680, 5380, 14404, 6680, 7917, 198, 6161, 6680, 7917, 198, 4198, 14643, 323, 21552, 78284, 198, 1360, 13677, 59854, 323, 3276, 275, 5241, 1354, 198, 9028, 894, 24463, 660, 6680, 3201, 505, 4851, 520, 1579, 7410, 627, 1876, 14488, 2212, 36853, 198, 9028, 894, 24840, 19472, 660, 6680, 7119, 279, 4851, 520, 3428, 7410, 9093, 23537, 64100, 627, 45, 116607, 56429, 11, 490, 14576, 11, 31071, 331, 355, 11, 31071, 14946, 8083, 11, 99288, 14559, 11, 21271, 11, 56249, 11, 958, 16845, 278, 24569, 11, 1891, 95896, 76, 198, 32, 1912, 315, 19338, 16239, 35663, 2849, 6650, 198, 69899, 304, 832, 3158, 11, 4871, 264, 39654, 4869, 649, 5353, 7410, 323, 5674, 311, 36853, 198, 6854, 75272, 62027, 20438, 11, 8541, 311, 5944, 304, 279, 6680, 323, 649, 1101, 5353, 264, 14580, 15756, 414, 198, 12978, 82, 701, 22852, 1887, 6144, 499, 555, 12917, 433, 1268, 311, 4465, 279, 8624, 449, 264, 58764, 2373, 315, 279, 1853, 11968, 627, 6882, 19704, 6784, 719, 617, 912, 1972, 2515, 389, 279, 1853, 11968, 198, 32, 11742, 20278, 430, 374, 1511, 304, 23842, 11, 27208, 11, 6514, 433, 27344, 315, 264, 8624, 198, 3214, 1333, 4529, 1139, 279, 2547, 430, 11041, 477, 22223, 11742, 25481, 198, 791, 7504, 311, 5623, 4500, 198, 16, 13, 13791, 323, 3495, 198, 17, 13, 37207, 11217, 1903, 304, 264, 10278, 198, 18, 29870, 31717, 258, 950, 19622, 389, 20438, 198, 20, 22338, 992, 9025, 389, 264, 2678, 1912, 315, 9498, 1274, 198, 21, 13, 33135, 9025, 389, 1274, 449, 279, 8624, 198, 22, 4045, 1912, 889, 656, 539, 636, 279, 5623, 198, 23, 1087, 266, 4167, 41223, 439, 1317, 439, 814, 527, 304, 1005, 627, 24, 1087, 60104, 682, 1296, 323, 706, 264, 5842, 627, 16, 11494, 374, 15246, 311, 3544, 15055, 315, 25407, 6968, 264, 15756, 414, 902, 374, 28532, 369, 279, 9572, 7917, 13, 13596, 11494, 374, 15921, 449, 264, 8624, 323, 279, 43745, 57878, 4251, 6680, 7917, 17843, 59854, 374, 28532, 13, 4314, 527, 1243, 75754, 3871, 311, 8356, 5043, 85292, 7917, 430, 4465, 279, 8624, 13, 4314, 527, 1243, 19180, 1139, 27833, 323, 1306, 12621, 814, 527, 3148, 9124, 627, 53062, 279, 1948, 315, 279, 16312, 13, 41315, 315, 682, 37833, 5237, 25734, 311, 31127, 1082, 3177, 304, 1935, 13, 17586, 420, 7397, 74767, 7846, 1431, 1935, 2035, 323, 279, 6136, 8434, 1431, 617, 4907, 627, 21471, 7917, 323, 20703, 460, 198, 48852, 520, 279, 5740, 389, 279, 16312, 11, 12782, 40589, 323, 24463, 649, 1431, 55517, 779, 994, 279, 7771, 7917, 527, 259, 5673, 307, 279, 20703, 460, 374, 1825, 323, 814, 649, 12731, 1555, 1070, 627, 92050, 374, 279, 16312, 11, 539, 15499, 19937, 311, 2187, 24463, 323, 12782, 40589, 311, 5944, 6847, 5944, 1555, 3805, 3634, 311, 279, 11091, 285, 1037, 7917, 198, 94188, 289, 14092, 4018, 2045, 198, 31996, 287, 279, 16312, 323, 18417, 3090, 53754, 198, 46889, 3090, 505, 20282, 311, 16312, 198, 791, 4814, 315, 3090, 1555, 3721, 96649, 505, 279, 20703, 460, 198, 29353, 7351, 304, 264, 6136, 198, 16, 13, 10164, 11141, 4245, 311, 8798, 505, 279, 7160, 1555, 279, 20703, 460, 198, 17, 13, 10164, 11031, 704, 315, 279, 7917, 4245, 311, 2709, 8801, 285, 198, 18, 1345, 10296, 505, 62027, 7917, 198, 19, 47487, 279, 7917, 1541, 1431, 409, 26233, 660, 3090, 374, 13541, 709, 1555, 279, 865, 982, 76, 198, 20, 46445, 82, 1935, 304, 3090, 505, 279, 5015, 128001, -100, 2118, 1128, 44322, 19465, 15009, 3629, 19813, 311, 14713, 323, 3347, 287, 21389, 505, 832, 2035, 311, 2500, 2085, 7060, 2585, 927, 1268, 279, 21389, 527, 35319, 477, 264, 2867, 8830, 315, 682, 279, 11944, 31206, 24717, 2476, 15100, 45568, 735, 13, 18866, 520, 279, 22108, 10181, 315, 12053, 13, 1054, 38234, 18015, 34458, 9711, 264, 2763, 810, 25679, 389, 50545, 704, 6956, 1139, 3927, 13761, 323, 5865, 2476, 1778, 439, 8830, 1268, 311, 10484, 275, 8046, 2585, 14807, 323, 46940, 7969, 13, 763, 5369, 11, 28367, 6160, 22012, 1541, 1431, 1390, 311, 23564, 279, 832, 7394, 19465, 15009, 315, 459, 47120, 719, 1390, 1054, 998, 1977, 264, 743, 315, 7526, 430, 690, 2187, 499, 311, 656, 1690, 4595, 315, 29882, 11, 15851, 315, 701, 842, 3851, 11, 1790, 810, 19019, 11, 10484, 13215, 2915, 323, 7168, 2915, 2476, 2795, 18866, 627, 5451, 56190, 315, 14830, 8522, 198, 63717, 315, 3508, 499, 1650, 433, 28367, 34458, 477, 13241, 19465, 15009, 11, 279, 2115, 706, 22088, 311, 1304, 1063, 2010, 3195, 304, 14830, 8522, 11, 1778, 439, 1701, 46036, 8162, 76991, 369, 2853, 53421, 11, 32100, 323, 22514, 5623, 5788, 13, 1556, 3187, 374, 802, 880, 107718, 11, 459, 7294, 1474, 8093, 532, 5623, 6832, 33289, 505, 279, 8620, 10437, 35311, 6798, 6136, 374, 64481, 323, 11646, 13, 16644, 430, 1475, 1060, 11, 69263, 34527, 82, 220, 3101, 3610, 311, 220, 2636, 3610, 1274, 323, 11384, 220, 16, 3610, 311, 220, 17, 3610, 16779, 11, 10213, 304, 279, 11469, 1917, 11, 23917, 323, 810, 31368, 2561, 8336, 315, 802, 880, 107718, 10827, 11217, 527, 77720, 4460, 627, 64755, 423, 13, 6706, 300, 2785, 753, 27692, 520, 279, 28574, 33108, 5165, 32184, 323, 279, 3907, 315, 7188, 11, 33108, 11, 17903, 449, 264, 400, 2983, 13, 20, 46149, 13500, 505, 279, 8766, 323, 11220, 17872, 36593, 5114, 11, 46036, 23916, 1799, 5650, 1634, 28091, 2749, 73078, 311, 8356, 802, 880, 58504, 292, 13935, 11, 902, 374, 31368, 16489, 1139, 802, 880, 107718, 555, 11742, 3445, 13, 2057, 24490, 279, 41580, 11, 279, 12074, 1176, 3549, 264, 502, 41861, 38970, 304, 279, 8162, 8629, 2191, 13, 9479, 11, 814, 9277, 45964, 323, 35311, 6798, 21389, 304, 279, 41580, 33869, 779, 430, 279, 3956, 315, 1884, 21389, 16681, 291, 304, 279, 502, 41861, 38970, 311, 8356, 264, 71261, 311, 802, 880, 58504, 292, 13935, 13, 578, 12074, 1101, 1243, 3779, 304, 279, 35311, 6798, 9693, 998, 33002, 393, 10617, 15207, 779, 279, 420, 71261, 1053, 387, 16489, 311, 802, 880, 58504, 292, 13935, 627, 791, 12074, 13240, 872, 1749, 1436, 8356, 279, 5623, 369, 220, 914, 31291, 824, 6514, 13, 578, 21349, 5603, 315, 60508, 802, 880, 107718, 505, 279, 6136, 7194, 922, 400, 17, 13, 1115, 1060, 11, 5960, 93123, 6830, 688, 285, 16383, 279, 5557, 311, 30536, 433, 323, 5569, 433, 709, 13, 578, 2883, 16388, 311, 617, 28367, 802, 880, 107718, 304, 279, 8312, 8957, 555, 220, 679, 18, 627, 32, 810, 17395, 3851, 315, 28367, 34458, 18065, 15009, 24156, 6956, 311, 990, 4871, 264, 36041, 278, 13, 763, 279, 34479, 323, 51876, 19647, 11, 20957, 14993, 311, 8417, 994, 264, 19923, 374, 5644, 311, 387, 3242, 40381, 660, 11, 902, 814, 656, 555, 46071, 279, 19923, 753, 7865, 13, 2030, 1524, 422, 814, 12722, 8101, 994, 264, 19923, 374, 25568, 15853, 11, 78220, 54682, 65383, 279, 19923, 449, 40699, 505, 264, 12466, 14019, 706, 1193, 264, 220, 1272, 3346, 2450, 4478, 627, 34141, 420, 1060, 11, 11826, 435, 44061, 797, 1414, 753, 1912, 520, 279, 30791, 12411, 10181, 315, 12053, 320, 7780, 8, 304, 72826, 8040, 264, 48739, 1903, 505, 70002, 974, 46033, 388, 320, 18, 570, 32745, 279, 48739, 814, 9277, 40699, 323, 46036, 36041, 10700, 7917, 430, 16914, 326, 1088, 258, 4954, 36908, 320, 1820, 25568, 2987, 8450, 8, 323, 9124, 70002, 521, 304, 2077, 13, 578, 48739, 4375, 1093, 420, 25, 362, 37500, 14242, 459, 10065, 753, 220, 1691, 11477, 25568, 2987, 11008, 323, 8554, 994, 25568, 2987, 374, 1455, 4461, 311, 1212, 13, 578, 48739, 13912, 279, 40699, 7878, 369, 2380, 2919, 11, 779, 264, 24195, 50398, 279, 48739, 1139, 279, 19923, 753, 85656, 264, 1938, 477, 1403, 1603, 25568, 2987, 13, 3277, 326, 1088, 258, 4954, 36908, 1765, 4282, 1555, 264, 279, 19923, 11, 279, 46036, 7917, 4871, 279, 48739, 11388, 433, 323, 39201, 279, 7645, 315, 70002, 2315, 13, 578, 70002, 2315, 96630, 279, 48739, 323, 4984, 279, 40699, 13, 763, 279, 1176, 9269, 1629, 11953, 704, 304, 30221, 11, 435, 44061, 797, 1414, 2795, 279, 3756, 1047, 264, 220, 1041, 3346, 2450, 4478, 627, 11663, 9045, 311, 2274, 14830, 9139, 88886, 527, 2103, 304, 279, 27692, 7649, 10474, 13, 1789, 3187, 11, 12074, 527, 3411, 311, 33294, 279, 1081, 729, 278, 24032, 430, 48383, 304, 279, 18340, 13, 1054, 3947, 527, 264, 1396, 315, 2574, 1521, 24032, 14614, 656, 7446, 304, 279, 92234, 430, 584, 1120, 9167, 1431, 49523, 1139, 2476, 2795, 5587, 13, 1054, 3947, 374, 912, 2944, 3249, 584, 7846, 1431, 24490, 1124, 311, 1180, 389, 279, 17981, 315, 872, 3552, 4856, 1109, 1120, 389, 872, 1866, 17981, 49216, 28623, 753, 2128, 706, 55315, 1081, 729, 278, 24032, 311, 4322, 99740, 2473, 13, 97664, 10599, 99740, 2473, 68, 11, 279, 17854, 2411, 430, 11384, 279, 19405, 11, 2477, 24031, 279, 8582, 92234, 323, 25501, 264, 3738, 17915, 1306, 902, 433, 18417, 3339, 1202, 96553, 28896, 13, 1102, 1243, 43186, 279, 2547, 555, 69393, 11, 14718, 2324, 62999, 99857, 304, 12697, 13, 5587, 753, 2128, 6773, 311, 9567, 650, 13, 99740, 2473, 68, 520, 1202, 1866, 1847, 555, 3794, 264, 3650, 62114, 9419, 9211, 718, 689, 74110, 26800, 311, 8356, 279, 12223, 934, 34106, 1355, 49205, 650, 13, 99740, 2473, 68, 28896, 13, 1054, 2746, 510, 36, 13, 74110, 24032, 60, 1051, 3339, 279, 8450, 323, 264, 650, 13, 99740, 2473, 68, 17854, 2411, 3782, 304, 11, 433, 1053, 1781, 1023, 650, 13, 99740, 2473, 68, 1051, 2736, 1070, 13, 1102, 8434, 1431, 15866, 2476, 2795, 5587, 13, 578, 26453, 1051, 6992, 304, 3794, 279, 1749, 311, 990, 304, 264, 8814, 1646, 1566, 1060, 320, 19, 570, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 32, 6453, 33894, 33831, 1063, 26454, 84889, 315, 279, 4059, 430, 264, 8696, 994, 433, 44164, 4423, 3345, 627, 2170, 10789, 7182, 1174, 3249, 358, 13194, 1461, 1578, 5380, 29174, 279, 9358, 757, 342, 1261, 82, 304, 813, 6784, 627, 70, 25156, 3117, 323, 7029, 627, 40, 3139, 16643, 46798, 11218, 389, 279, 24087, 627, 7009, 67106, 311, 4648, 323, 358, 4822, 62200, 627, 40, 649, 9020, 311, 682, 279, 60121, 97946, 59952, 10578, 627, 128001, 128000, 644, 279, 4987, 16867, 11, 10007, 315, 36931, 10951, 3235, 279, 350, 1073, 4381, 67164, 15952, 304, 51491, 64, 11, 264, 502, 67164, 13218, 5492, 77036, 374, 1694, 312, 40260, 13, 578, 13218, 374, 3463, 311, 617, 22763, 1306, 264, 67164, 80502, 304, 5209, 62735, 592, 430, 706, 1101, 993, 93176, 3544, 15055, 315, 19596, 281, 372, 560, 1139, 51491, 276, 21160, 323, 42071, 4028, 311, 86196, 922, 220, 8652, 13437, 320, 8610, 8931, 8, 311, 279, 9909, 315, 1405, 279, 502, 13218, 706, 14454, 13, 763, 220, 1049, 19, 264, 4528, 80502, 3549, 459, 83234, 3333, 13218, 922, 220, 15, 13, 20, 555, 220, 16, 13, 20, 13437, 320, 15, 13, 18, 555, 220, 15, 13, 24, 8931, 8, 304, 1404, 26, 433, 574, 912, 5129, 9621, 304, 459, 23276, 643, 2217, 19426, 6841, 220, 1049, 20, 13, 1115, 46836, 5933, 1933, 2217, 5039, 279, 54832, 84408, 44397, 115766, 4919, 292, 13218, 315, 36931, 304, 279, 8582, 1314, 13, 5492, 77036, 374, 1766, 304, 279, 4827, 2163, 13, 578, 1403, 1529, 51220, 628, 19131, 527, 4106, 67329, 977, 430, 374, 82787, 449, 67164, 24767, 323, 26333, 26, 279, 8294, 832, 649, 387, 51400, 369, 810, 1109, 220, 975, 13437, 320, 23, 13, 19, 8931, 8, 311, 279, 11226, 13, 578, 2217, 574, 19426, 6664, 220, 605, 11, 220, 1049, 21, 323, 14861, 459, 3158, 315, 220, 1187, 13, 18, 555, 220, 966, 13, 17, 13437, 13, 1102, 374, 7559, 520, 220, 972, 13, 24, 12628, 4987, 21518, 11, 220, 11771, 13, 22, 12628, 9909, 21155, 627, 2409, 1202, 220, 975, 57077, 21562, 505, 279, 9621, 311, 279, 29487, 59141, 46406, 5654, 11, 323, 1202, 1579, 29079, 11175, 315, 220, 868, 311, 220, 1954, 20645, 320, 9274, 220, 1135, 311, 220, 3101, 7693, 705, 23276, 643, 5448, 9420, 311, 2472, 323, 8891, 279, 10223, 7479, 315, 1057, 11841, 627, 30751, 374, 832, 315, 4330, 9420, 12, 5598, 20073, 24198, 11887, 6790, 220, 972, 11, 220, 2550, 24, 11, 389, 22146, 596, 50526, 24088, 13, 578, 14473, 574, 5918, 555, 6457, 596, 20214, 315, 38661, 11, 17657, 323, 24780, 13, 362, 10496, 549, 815, 1761, 49852, 8198, 2128, 374, 8647, 369, 10741, 323, 38711, 315, 279, 14473, 323, 279, 828, 3956, 627, 791, 7353, 57077, 10401, 323, 1579, 57077, 11175, 315, 23276, 643, 5825, 14248, 304, 12387, 49255, 449, 9200, 2038, 369, 7479, 13021, 11, 323, 16967, 315, 8915, 4787, 323, 37015, 2349, 13, 13688, 8522, 527, 25, 16967, 2840, 33211, 31003, 323, 31114, 82, 26, 16967, 13893, 4642, 36373, 7217, 26, 25607, 19641, 8631, 26, 26679, 9624, 79612, 323, 7106, 6012, 26, 14739, 8329, 16865, 26, 29487, 25793, 16967, 26, 53103, 71145, 53568, 26, 7479, 9499, 13021, 315, 69561, 323, 3980, 2508, 26, 323, 30090, 7479, 8798, 8335, 627, 791, 549, 815, 13, 8198, 2128, 374, 7559, 520, 22146, 596, 25365, 3998, 34003, 32184, 11, 83550, 11, 41889, 13, 578, 50526, 9131, 374, 961, 315, 22146, 596, 10170, 24098, 94466, 627, 1730, 25, 220, 1187, 13, 18, 555, 220, 966, 13, 17, 41668, 320, 868, 555, 220, 972, 13, 21, 8931, 340, 4812, 25, 220, 972, 13, 24, 12628, 4987, 21518, 11, 220, 11771, 13, 22, 12628, 4410, 21155, 198, 23133, 25, 4892, 520, 1948, 198, 1945, 2956, 25, 23276, 643, 21562, 220, 18, 11, 220, 17, 11, 323, 220, 16, 198, 18902, 2956, 38216, 25, 220, 868, 20645, 320, 2491, 13, 17, 7693, 340, 56338, 6515, 3004, 25, 6664, 220, 19, 11, 220, 1049, 21, 128001, 128000, 508, 5651, 11, 220, 679, 22, 198, 3648, 2956, 57747, 2692, 389, 1611, 29272, 42569, 20817, 389, 38122, 29240, 12362, 80569, 763, 25593, 315, 10164, 198, 791, 27286, 21246, 7572, 3623, 13, 320, 2505, 4977, 46, 8, 706, 20276, 502, 828, 389, 279, 10687, 315, 50459, 11499, 10633, 35098, 5108, 505, 279, 33788, 520, 1202, 89839, 80223, 41652, 38544, 7572, 50298, 320, 45, 4505, 82, 705, 902, 29759, 5674, 304, 279, 72155, 315, 5587, 220, 679, 16, 13, 1102, 1550, 430, 555, 24834, 4442, 304, 20472, 2949, 279, 71573, 1418, 2204, 27378, 315, 3090, 1051, 1694, 41772, 1139, 279, 38729, 14016, 13, 3011, 5535, 279, 10687, 315, 279, 35098, 311, 387, 13240, 627, 791, 14955, 527, 13263, 449, 279, 3135, 315, 1023, 29060, 11, 32125, 11, 1884, 9455, 430, 1455, 35098, 520, 279, 89839, 80223, 41652, 12, 17, 452, 4505, 374, 520, 279, 5740, 315, 279, 38729, 7410, 27274, 320, 22394, 53, 570, 578, 2410, 15919, 706, 1027, 26984, 2561, 2038, 311, 10570, 9017, 279, 17065, 315, 279, 35098, 11, 3970, 311, 387, 279, 12474, 8815, 304, 279, 29602, 2796, 287, 1920, 627, 5501, 10804, 1320, 43456, 10222, 520, 36281, 220, 16, 311, 220, 18, 2391, 279, 11677, 11, 24038, 35098, 13, 5659, 279, 68864, 11, 18793, 4977, 46, 706, 1027, 88385, 3090, 311, 7155, 433, 13, 4497, 6051, 11, 279, 2883, 27115, 25983, 279, 27378, 315, 41772, 3090, 505, 220, 19, 13, 20, 311, 220, 18, 13, 15, 20181, 824, 6596, 311, 3493, 264, 8863, 45738, 369, 279, 13077, 27723, 323, 4087, 7922, 279, 52673, 3090, 430, 1047, 41165, 304, 279, 66270, 4857, 3122, 3808, 323, 1023, 7634, 13, 3011, 6244, 3284, 1606, 86312, 1104, 2819, 1047, 12504, 32302, 2391, 279, 4848, 1667, 2533, 279, 11677, 627, 2505, 4977, 46, 1903, 1005, 315, 7576, 315, 22700, 315, 30945, 33504, 10487, 304, 1855, 315, 279, 42561, 52837, 323, 18403, 520, 36281, 220, 16, 311, 220, 18, 13, 2468, 8113, 220, 16, 11, 20472, 3221, 279, 2585, 21236, 6678, 17383, 3770, 279, 42561, 53, 16392, 439, 279, 8286, 315, 41772, 3090, 25983, 13, 578, 2410, 15919, 13919, 430, 279, 35098, 430, 11299, 9017, 279, 5740, 315, 279, 42561, 53, 574, 10791, 555, 279, 17383, 11, 10671, 264, 8798, 2592, 13, 7648, 315, 279, 35098, 374, 3463, 311, 617, 12504, 311, 279, 5740, 315, 279, 46311, 27274, 627, 1688, 8113, 220, 17, 11, 279, 9499, 520, 279, 5740, 315, 279, 42561, 53, 16392, 12742, 3210, 11, 779, 18793, 4977, 46, 15849, 430, 1070, 1253, 387, 35098, 3118, 1070, 13, 2468, 8113, 220, 18, 11, 37318, 11, 279, 9499, 315, 279, 3090, 304, 279, 46311, 27274, 574, 5190, 1109, 520, 279, 5740, 315, 279, 42561, 53, 13, 18793, 4977, 46, 13919, 430, 1455, 315, 279, 35098, 1070, 12504, 505, 279, 42561, 53, 11, 9861, 520, 279, 5740, 315, 279, 46311, 27274, 627, 2505, 4977, 46, 1047, 6931, 13240, 279, 10093, 315, 35098, 520, 36281, 220, 16, 323, 220, 17, 1701, 12097, 263, 10390, 5814, 11, 3196, 389, 55801, 30630, 44596, 13, 578, 3135, 2489, 1884, 315, 279, 8990, 315, 9499, 2349, 1701, 11293, 26127, 3090, 13, 578, 2883, 690, 3136, 1202, 26969, 323, 1456, 16472, 71627, 311, 77277, 279, 10093, 315, 279, 35098, 810, 30357, 13, 128001 ]
[ -100, 32, 6453, 33894, 33831, 1063, 26454, 84889, 315, 279, 4059, 430, 264, 8696, 994, 433, 44164, 4423, 3345, 627, 2170, 10789, 7182, 1174, 3249, 358, 13194, 1461, 1578, 5380, 29174, 279, 9358, 757, 342, 1261, 82, 304, 813, 6784, 627, 70, 25156, 3117, 323, 7029, 627, 40, 3139, 16643, 46798, 11218, 389, 279, 24087, 627, 7009, 67106, 311, 4648, 323, 358, 4822, 62200, 627, 40, 649, 9020, 311, 682, 279, 60121, 97946, 59952, 10578, 627, 128001, -100, 644, 279, 4987, 16867, 11, 10007, 315, 36931, 10951, 3235, 279, 350, 1073, 4381, 67164, 15952, 304, 51491, 64, 11, 264, 502, 67164, 13218, 5492, 77036, 374, 1694, 312, 40260, 13, 578, 13218, 374, 3463, 311, 617, 22763, 1306, 264, 67164, 80502, 304, 5209, 62735, 592, 430, 706, 1101, 993, 93176, 3544, 15055, 315, 19596, 281, 372, 560, 1139, 51491, 276, 21160, 323, 42071, 4028, 311, 86196, 922, 220, 8652, 13437, 320, 8610, 8931, 8, 311, 279, 9909, 315, 1405, 279, 502, 13218, 706, 14454, 13, 763, 220, 1049, 19, 264, 4528, 80502, 3549, 459, 83234, 3333, 13218, 922, 220, 15, 13, 20, 555, 220, 16, 13, 20, 13437, 320, 15, 13, 18, 555, 220, 15, 13, 24, 8931, 8, 304, 1404, 26, 433, 574, 912, 5129, 9621, 304, 459, 23276, 643, 2217, 19426, 6841, 220, 1049, 20, 13, 1115, 46836, 5933, 1933, 2217, 5039, 279, 54832, 84408, 44397, 115766, 4919, 292, 13218, 315, 36931, 304, 279, 8582, 1314, 13, 5492, 77036, 374, 1766, 304, 279, 4827, 2163, 13, 578, 1403, 1529, 51220, 628, 19131, 527, 4106, 67329, 977, 430, 374, 82787, 449, 67164, 24767, 323, 26333, 26, 279, 8294, 832, 649, 387, 51400, 369, 810, 1109, 220, 975, 13437, 320, 23, 13, 19, 8931, 8, 311, 279, 11226, 13, 578, 2217, 574, 19426, 6664, 220, 605, 11, 220, 1049, 21, 323, 14861, 459, 3158, 315, 220, 1187, 13, 18, 555, 220, 966, 13, 17, 13437, 13, 1102, 374, 7559, 520, 220, 972, 13, 24, 12628, 4987, 21518, 11, 220, 11771, 13, 22, 12628, 9909, 21155, 627, 2409, 1202, 220, 975, 57077, 21562, 505, 279, 9621, 311, 279, 29487, 59141, 46406, 5654, 11, 323, 1202, 1579, 29079, 11175, 315, 220, 868, 311, 220, 1954, 20645, 320, 9274, 220, 1135, 311, 220, 3101, 7693, 705, 23276, 643, 5448, 9420, 311, 2472, 323, 8891, 279, 10223, 7479, 315, 1057, 11841, 627, 30751, 374, 832, 315, 4330, 9420, 12, 5598, 20073, 24198, 11887, 6790, 220, 972, 11, 220, 2550, 24, 11, 389, 22146, 596, 50526, 24088, 13, 578, 14473, 574, 5918, 555, 6457, 596, 20214, 315, 38661, 11, 17657, 323, 24780, 13, 362, 10496, 549, 815, 1761, 49852, 8198, 2128, 374, 8647, 369, 10741, 323, 38711, 315, 279, 14473, 323, 279, 828, 3956, 627, 791, 7353, 57077, 10401, 323, 1579, 57077, 11175, 315, 23276, 643, 5825, 14248, 304, 12387, 49255, 449, 9200, 2038, 369, 7479, 13021, 11, 323, 16967, 315, 8915, 4787, 323, 37015, 2349, 13, 13688, 8522, 527, 25, 16967, 2840, 33211, 31003, 323, 31114, 82, 26, 16967, 13893, 4642, 36373, 7217, 26, 25607, 19641, 8631, 26, 26679, 9624, 79612, 323, 7106, 6012, 26, 14739, 8329, 16865, 26, 29487, 25793, 16967, 26, 53103, 71145, 53568, 26, 7479, 9499, 13021, 315, 69561, 323, 3980, 2508, 26, 323, 30090, 7479, 8798, 8335, 627, 791, 549, 815, 13, 8198, 2128, 374, 7559, 520, 22146, 596, 25365, 3998, 34003, 32184, 11, 83550, 11, 41889, 13, 578, 50526, 9131, 374, 961, 315, 22146, 596, 10170, 24098, 94466, 627, 1730, 25, 220, 1187, 13, 18, 555, 220, 966, 13, 17, 41668, 320, 868, 555, 220, 972, 13, 21, 8931, 340, 4812, 25, 220, 972, 13, 24, 12628, 4987, 21518, 11, 220, 11771, 13, 22, 12628, 4410, 21155, 198, 23133, 25, 4892, 520, 1948, 198, 1945, 2956, 25, 23276, 643, 21562, 220, 18, 11, 220, 17, 11, 323, 220, 16, 198, 18902, 2956, 38216, 25, 220, 868, 20645, 320, 2491, 13, 17, 7693, 340, 56338, 6515, 3004, 25, 6664, 220, 19, 11, 220, 1049, 21, 128001, -100, 508, 5651, 11, 220, 679, 22, 198, 3648, 2956, 57747, 2692, 389, 1611, 29272, 42569, 20817, 389, 38122, 29240, 12362, 80569, 763, 25593, 315, 10164, 198, 791, 27286, 21246, 7572, 3623, 13, 320, 2505, 4977, 46, 8, 706, 20276, 502, 828, 389, 279, 10687, 315, 50459, 11499, 10633, 35098, 5108, 505, 279, 33788, 520, 1202, 89839, 80223, 41652, 38544, 7572, 50298, 320, 45, 4505, 82, 705, 902, 29759, 5674, 304, 279, 72155, 315, 5587, 220, 679, 16, 13, 1102, 1550, 430, 555, 24834, 4442, 304, 20472, 2949, 279, 71573, 1418, 2204, 27378, 315, 3090, 1051, 1694, 41772, 1139, 279, 38729, 14016, 13, 3011, 5535, 279, 10687, 315, 279, 35098, 311, 387, 13240, 627, 791, 14955, 527, 13263, 449, 279, 3135, 315, 1023, 29060, 11, 32125, 11, 1884, 9455, 430, 1455, 35098, 520, 279, 89839, 80223, 41652, 12, 17, 452, 4505, 374, 520, 279, 5740, 315, 279, 38729, 7410, 27274, 320, 22394, 53, 570, 578, 2410, 15919, 706, 1027, 26984, 2561, 2038, 311, 10570, 9017, 279, 17065, 315, 279, 35098, 11, 3970, 311, 387, 279, 12474, 8815, 304, 279, 29602, 2796, 287, 1920, 627, 5501, 10804, 1320, 43456, 10222, 520, 36281, 220, 16, 311, 220, 18, 2391, 279, 11677, 11, 24038, 35098, 13, 5659, 279, 68864, 11, 18793, 4977, 46, 706, 1027, 88385, 3090, 311, 7155, 433, 13, 4497, 6051, 11, 279, 2883, 27115, 25983, 279, 27378, 315, 41772, 3090, 505, 220, 19, 13, 20, 311, 220, 18, 13, 15, 20181, 824, 6596, 311, 3493, 264, 8863, 45738, 369, 279, 13077, 27723, 323, 4087, 7922, 279, 52673, 3090, 430, 1047, 41165, 304, 279, 66270, 4857, 3122, 3808, 323, 1023, 7634, 13, 3011, 6244, 3284, 1606, 86312, 1104, 2819, 1047, 12504, 32302, 2391, 279, 4848, 1667, 2533, 279, 11677, 627, 2505, 4977, 46, 1903, 1005, 315, 7576, 315, 22700, 315, 30945, 33504, 10487, 304, 1855, 315, 279, 42561, 52837, 323, 18403, 520, 36281, 220, 16, 311, 220, 18, 13, 2468, 8113, 220, 16, 11, 20472, 3221, 279, 2585, 21236, 6678, 17383, 3770, 279, 42561, 53, 16392, 439, 279, 8286, 315, 41772, 3090, 25983, 13, 578, 2410, 15919, 13919, 430, 279, 35098, 430, 11299, 9017, 279, 5740, 315, 279, 42561, 53, 574, 10791, 555, 279, 17383, 11, 10671, 264, 8798, 2592, 13, 7648, 315, 279, 35098, 374, 3463, 311, 617, 12504, 311, 279, 5740, 315, 279, 46311, 27274, 627, 1688, 8113, 220, 17, 11, 279, 9499, 520, 279, 5740, 315, 279, 42561, 53, 16392, 12742, 3210, 11, 779, 18793, 4977, 46, 15849, 430, 1070, 1253, 387, 35098, 3118, 1070, 13, 2468, 8113, 220, 18, 11, 37318, 11, 279, 9499, 315, 279, 3090, 304, 279, 46311, 27274, 574, 5190, 1109, 520, 279, 5740, 315, 279, 42561, 53, 13, 18793, 4977, 46, 13919, 430, 1455, 315, 279, 35098, 1070, 12504, 505, 279, 42561, 53, 11, 9861, 520, 279, 5740, 315, 279, 46311, 27274, 627, 2505, 4977, 46, 1047, 6931, 13240, 279, 10093, 315, 35098, 520, 36281, 220, 16, 323, 220, 17, 1701, 12097, 263, 10390, 5814, 11, 3196, 389, 55801, 30630, 44596, 13, 578, 3135, 2489, 1884, 315, 279, 8990, 315, 9499, 2349, 1701, 11293, 26127, 3090, 13, 578, 2883, 690, 3136, 1202, 26969, 323, 1456, 16472, 71627, 311, 77277, 279, 10093, 315, 279, 35098, 810, 30357, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 3353, 315, 9974, 35019, 14750, 395, 58011, 374, 14090, 18222, 389, 2585, 315, 279, 3552, 13, 26775, 14750, 395, 6650, 369, 220, 21, 12, 23, 2919, 574, 1455, 20747, 10843, 311, 34153, 3789, 6650, 13, 1561, 4356, 25, 26275, 12250, 11, 220, 2550, 24, 25, 220, 22904, 12, 2096, 13, 11359, 709, 21728, 527, 5995, 311, 8891, 279, 15580, 753, 5208, 578, 29409, 315, 40340, 7957, 3350, 757, 2587, 26360, 9071, 389, 13621, 16374, 30508, 84363, 323, 312, 49661, 279, 28591, 315, 3776, 2136, 13, 17907, 220, 1721, 11, 220, 2550, 21, 9787, 3451, 50, 852, 88, 529, 35019, 14750, 395, 320, 43, 337, 2411, 62387, 9761, 372, 33794, 6266, 706, 9124, 1664, 304, 62956, 7692, 19622, 4028, 29974, 11, 719, 7692, 19622, 656, 539, 2744, 7168, 1268, 289, 1226, 1005, 8443, 311, 18885, 701, 3217, 389, 1057, 9071, 389, 3678, 19549, 35019, 14750, 395, 3997, 50006, 14691, 311, 1005, 1057, 3997, 11, 499, 527, 39427, 311, 1057, 1005, 315, 8443, 13, 220, 19, 27866, 701, 37125, 596, 17614, 1475, 2380, 311, 3116, 1667, 649, 1520, 499, 2567, 701, 17614, 37143, 323, 17614, 37493, 520, 23669, 5990, 369, 74718, 35019, 14750, 395, 323, 1023, 16763, 288, 3118, 44610, 11, 328, 13, 1403, 2835, 3953, 9071, 20704, 31030, 5674, 11, 6435, 6650, 10688, 315, 1695, 9071, 323, 27631, 23941, 37329, 581, 75, 488, 4017, 369, 425, 5788, 323, 60090, 6650, 315, 9974, 35019, 14750, 395, 304, 6460, 8421, 13, 25992, 35019, 14750, 395, 374, 30464, 311, 264, 7029, 2134, 315, 4787, 26775, 14750, 395, 40308, 7620, 304, 8421, 11, 9784, 11, 323, 29538, 617, 8738, 311, 7417, 420, 3062, 12688, 9974, 16763, 927, 279, 3347, 4330, 11026, 13, 763, 2144, 11, 568, 1685, 19131, 264, 5426, 2317, 13, 3700, 32331, 26775, 14750, 395, 468, 10718, 12278, 20874, 449, 293, 4289, 664, 69405, 395, 22009, 1109, 264, 220, 1135, 25, 1135, 10533, 20955, 315, 1403, 3177, 39368, 36680, 449, 9250, 1579, 12, 35658, 2653, 1918, 323, 5468, 339, 2411, 13957, 13, 578, 9849, 374, 264, 2536, 28926, 7471, 902, 14188, 31878, 10533, 6463, 17637, 7729, 25992, 26775, 14750, 395, 3277, 701, 37125, 2447, 6880, 369, 4062, 1933, 323, 5043, 21967, 11, 1797, 389, 13597, 1251, 783, 25992, 26775, 14750, 395, 13, 75560, 304, 3678, 19549, 26183, 389, 6740, 323, 7884, 58302, 520, 220, 24, 309, 13, 36364, 25, 9071, 15832, 2997, 25, 9071, 26775, 14750, 395, 369, 1789, 425, 3788, 1129, 2185, 13, 894, 14750, 395, 916, 46733, 369, 425, 2628, 9220, 35019, 14750, 395, 9606, 527, 315, 2294, 12939, 304, 369, 425, 13631, 344, 478, 1197, 5788, 26, 9974, 35019, 14750, 395, 320, 43, 337, 2411, 62387, 9761, 372, 9071, 389, 3678, 19549, 35019, 14750, 395, 33794, 6266, 323, 74718, 35019, 14750, 395, 320, 43, 337, 2411, 824, 26193, 445, 36434, 4418, 1431, 1440, 3249, 13, 578, 2800, 315, 279, 9071, 1243, 16964, 264, 8668, 315, 11704, 25, 48709, 11, 10034, 11, 4029, 477, 586, 2532, 13, 2435, 527, 16312, 88, 16763, 288, 430, 8356, 7701, 11091, 15436, 369, 425, 430, 3629, 36364, 25, 9071, 15832, 2997, 25, 9071, 26775, 14750, 395, 18137, 56854, 25, 264, 7982, 2802, 765, 36664, 356, 4730, 8604, 55794, 4730, 82894, 916, 46733, 220, 679, 19, 46733, 220, 2371, 46733, 220, 806, 46733, 35019, 14750, 395, 2902, 352, 56854, 7561, 56657, 65873, 5186, 220, 806, 11, 220, 679, 19, 9787, 26775, 14750, 395, 1288, 387, 4018, 369, 18137, 56854, 520, 279, 892, 994, 279, 5292, 16312, 374, 7314, 311, 34044, 11, 323, 293, 5962, 520, 220, 1135, 311, 220, 1399, 4, 32257, 627, 11458, 11, 15196, 11012, 315, 30508, 35019, 14750, 395, 80237, 2411, 62387, 9761, 372, 323, 490, 49086, 1604, 350, 50308, 974, 2296, 3984, 29050, 6070, 430, 54095, 369, 220, 18, 4038, 13, 1684, 16064, 11681, 16490, 26676, 344, 1590, 323, 4060, 118930, 2392, 72808, 48228, 5178, 315, 6395, 1806, 48336, 1599, 35019, 14750, 395, 304, 18671, 1561, 17340, 423, 5253, 13, 76619, 37143, 304, 264, 2134, 315, 220, 20, 13, 20, 311, 220, 22, 13, 20, 11383, 11815, 279, 1888, 74718, 35019, 14750, 395, 6650, 13, 36364, 25, 9071, 15832, 2997, 25, 9071, 26775, 14750, 395, 8604, 558, 42574, 526, 355, 916, 46733, 26775, 14750, 395, 2628, 30508, 26775, 14750, 395, 706, 220, 9870, 11, 931, 10533, 824, 31123, 323, 706, 459, 54767, 48114, 8149, 315, 220, 42973, 17560, 477, 2753, 13, 1102, 374, 90916, 389, 810, 1109, 220, 2636, 11, 931, 27464, 1475, 1060, 304, 279, 1614, 323, 52394, 10533, 5220, 70733, 3157, 279, 3158, 449, 8349, 315, 16757, 19465, 5178, 13, 33782, 13, 13309, 10388, 315, 5687, 2391, 4435, 5111, 8105, 320, 7285, 24, 12, 1774, 8, 323, 3010, 549, 815, 13, 1115, 502, 66979, 374, 6319, 311, 16343, 828, 32505, 5597, 28846, 323, 28975, 449, 279, 8244, 54554, 2068, 6975, 26470, 315, 11469, 264, 3728, 323, 70406, 40543, 11, 4857, 264, 5655, 8830, 315, 2626, 57940, 11, 323, 6522, 1579, 13, 578, 549, 815, 13, 1684, 16064, 63486, 16064, 21304, 315, 32703, 1302, 323, 279, 39775, 315, 77536, 10863, 323, 8798, 8631, 389, 1403, 74718, 35019, 14750, 395, 27981, 1590, 927, 2380, 80769, 304, 279, 2418, 675, 36409, 328, 3587, 13, 735, 25201, 323, 350, 2112, 13, 356, 1639, 555, 25, 220, 2148, 24403, 9941, 25, 220, 2550, 21, 7030, 25, 622, 445, 473, 2642, 3258, 9744, 315, 25992, 26775, 14750, 395, 482, 49687, 8483, 10181, 3788, 1129, 2185, 1276, 51093, 2726, 46733, 3754, 46733, 29085, 46733, 945, 46351, 30508, 574, 6004, 439, 279, 1176, 8205, 449, 13241, 9439, 25065, 323, 706, 10434, 439, 279, 2592, 315, 9439, 25065, 369, 1690, 315, 279, 26627, 36680, 13, 13346, 374, 17303, 555, 7319, 17614, 4367, 11, 7319, 19641, 36508, 323, 11293, 7194, 13, 578, 30508, 58984, 7473, 56714, 13, 1102, 1253, 3139, 264, 2697, 51009, 1109, 74718, 35019, 14750, 395, 11, 505, 220, 17, 311, 220, 18, 7693, 16615, 13, 85608, 13, 2163, 1450, 10873, 26869, 311, 7694, 18591, 13, 578, 7580, 315, 420, 2447, 1795, 1129, 2185, 516, 62294, 5642, 916, 14, 2366, 15, 14, 2304, 14, 2437, 3554, 14127, 12, 32710, 1030, 74237, 12, 13491, 12303, 10432, 374, 311, 28875, 11, 2274, 11, 323, 4984, 502, 12688, 2653, 88, 11, 1579, 9071, 389, 3678, 19549, 35019, 14750, 395, 78504, 369, 425, 323, 60090, 27981, 1590, 315, 9974, 35019, 14750, 395, 369, 279, 18561, 2326, 13, 2468, 279, 4545, 11, 430, 753, 279, 30508, 15150, 25, 50750, 1295, 11, 63692, 978, 11, 1160, 315, 7640, 11, 10728, 2191, 763, 29560, 299, 29562, 32199, 63823, 323, 57175, 2194, 9442, 315, 3700, 32331, 26775, 14750, 395, 423, 14657, 287, 304, 10164, 6354, 337, 41572, 3341, 34658, 349, 323, 50616, 26252, 62261, 81, 811, 13, 11995, 369, 425, 323, 60090, 4595, 315, 9974, 35019, 14750, 395, 527, 2561, 11, 439, 449, 9974, 35019, 14750, 395, 11, 719, 6136, 1193, 369, 425, 955, 1288, 387, 39441, 27981, 1590, 369, 84550, 477, 4018, 369, 425, 627, 1991, 60426, 323, 52910, 13, 220, 1049, 20, 13, 432, 9188, 16763, 520, 468, 2192, 321, 266, 5701, 11, 27484, 1543, 24098, 5165, 51887, 13207, 11, 3221, 9935, 64, 9935, 64, 11, 6841, 220, 1682, 11, 220, 1049, 23, 13, 42202, 282, 3380, 361, 510, 43, 337, 2411, 802, 1263, 258, 580, 372, 320, 31224, 32575, 6266, 53773, 1729, 939, 13, 7252, 7729, 389, 16763, 10533, 19883, 0, 4946, 42320, 13538, 20524, 65383, 87349, 432, 9188, 41046, 36922, 30, 99116, 11, 320, 1049, 15, 570, 2057, 66087, 279, 35019, 14750, 395, 11, 65391, 8522, 1288, 387, 1903, 912, 3010, 1109, 5209, 12, 311, 3389, 6186, 13, 25992, 35019, 14750, 395, 439, 264, 3504, 19641, 706, 810, 1109, 264, 13515, 315, 2450, 304, 279, 52257, 13, 578, 8706, 836, 22047, 13980, 1990, 9974, 35019, 14750, 395, 323, 15155, 35019, 14750, 395, 5020, 220, 717, 11, 220, 679, 22, 9787, 1115, 220, 17, 31021, 3236, 84550, 4007, 11953, 704, 520, 43670, 11, 29538, 11, 7427, 11, 26126, 10065, 5178, 323, 369, 425, 17910, 315, 264, 28953, 4714, 52196, 27179, 6102, 78028, 33611, 6296, 264, 24522, 52196, 27981, 277, 27179, 12331, 19549, 33611, 315, 9974, 35019, 14750, 395, 520, 2380, 80249, 7969, 320, 14899, 26, 220, 18, 13, 20, 11, 220, 20, 13, 15, 477, 220, 22, 13, 20, 10099, 824, 6520, 8, 14469, 75692, 13, 39750, 84, 936, 802, 1263, 258, 83682, 5124, 32575, 25750, 323, 74718, 35019, 14750, 395, 320, 43, 337, 2411, 824, 26193, 445, 6266, 527, 3062, 74718, 369, 425, 16763, 288, 34716, 6957, 279, 24070, 12, 311, 1579, 3880, 467, 13772, 6940, 349, 26467, 315, 279, 1917, 13, 1226, 13468, 459, 842, 5237, 70504, 79902, 304, 279, 958, 5997, 1299, 12908, 315, 279, 11141, 323, 19595, 315, 1561, 17340, 323, 13673, 57749, 315, 469, 60171, 454, 540, 263, 25568, 1015, 662, 578, 7580, 374, 311, 4984, 13241, 27981, 1590, 315, 369, 425, 10827, 9974, 35019, 14750, 395, 902, 690, 7417, 13, 6925, 13, 1442, 279, 35019, 14750, 395, 16312, 25879, 374, 220, 605, 311, 220, 806, 9653, 7029, 11, 433, 374, 21109, 436, 9188, 50955, 16763, 13, 8718, 483, 555, 765, 7054, 55332, 13, 12086, 13, 10058, 356, 13, 220, 20, 13, 1789, 425, 356, 3787, 81596, 35019, 14750, 395, 25, 15344, 7234, 323, 84550, 7978, 690, 387, 13375, 449, 5708, 261, 36952, 520, 469, 13, 220, 1272, 12, 2166, 13, 26775, 14750, 395, 18137, 56854, 374, 389, 5578, 220, 1399, 311, 220, 2397, 4, 28816, 45, 323, 220, 717, 311, 220, 845, 4, 15643, 497, 11134, 706, 1027, 264, 3575, 389, 9974, 35019, 14750, 395, 13, 26775, 14750, 395, 18137, 56854, 374, 389, 5578, 220, 1399, 311, 220, 2397, 4, 28816, 45, 323, 220, 717, 311, 9071, 389, 3678, 19549, 35019, 14750, 395, 220, 845, 4, 15643, 25992, 35019, 14750, 395, 374, 264, 12309, 3389, 5634, 1711, 6136, 11, 779, 304, 30050, 57528, 433, 1253, 1005, 27639, 3090, 323, 452, 422, 2163, 2288, 1317, 13, 3658, 30686, 16853, 128001, 128000, 27, 876, 1284, 1590, 29, 1041, 15, 17359, 2341, 322, 220, 2175, 1945, 6700, 870, 198, 322, 220, 816, 16155, 12600, 38513, 198, 2341, 322, 220, 4388, 555, 41462, 48, 23332, 389, 220, 806, 14, 23, 14, 975, 627, 322, 220, 3028, 320, 66, 8, 220, 679, 19, 366, 37004, 14611, 2052, 3268, 4694, 627, 6454, 6038, 330, 56, 16155, 1939, 870, 1875, 12364, 2175, 1945, 6700, 551, 816, 16155, 1939, 271, 12, 320, 307, 40378, 1945, 769, 3349, 7264, 2651, 1843, 769, 401, 6760, 198, 128001 ]
[ -100, 3353, 315, 9974, 35019, 14750, 395, 58011, 374, 14090, 18222, 389, 2585, 315, 279, 3552, 13, 26775, 14750, 395, 6650, 369, 220, 21, 12, 23, 2919, 574, 1455, 20747, 10843, 311, 34153, 3789, 6650, 13, 1561, 4356, 25, 26275, 12250, 11, 220, 2550, 24, 25, 220, 22904, 12, 2096, 13, 11359, 709, 21728, 527, 5995, 311, 8891, 279, 15580, 753, 5208, 578, 29409, 315, 40340, 7957, 3350, 757, 2587, 26360, 9071, 389, 13621, 16374, 30508, 84363, 323, 312, 49661, 279, 28591, 315, 3776, 2136, 13, 17907, 220, 1721, 11, 220, 2550, 21, 9787, 3451, 50, 852, 88, 529, 35019, 14750, 395, 320, 43, 337, 2411, 62387, 9761, 372, 33794, 6266, 706, 9124, 1664, 304, 62956, 7692, 19622, 4028, 29974, 11, 719, 7692, 19622, 656, 539, 2744, 7168, 1268, 289, 1226, 1005, 8443, 311, 18885, 701, 3217, 389, 1057, 9071, 389, 3678, 19549, 35019, 14750, 395, 3997, 50006, 14691, 311, 1005, 1057, 3997, 11, 499, 527, 39427, 311, 1057, 1005, 315, 8443, 13, 220, 19, 27866, 701, 37125, 596, 17614, 1475, 2380, 311, 3116, 1667, 649, 1520, 499, 2567, 701, 17614, 37143, 323, 17614, 37493, 520, 23669, 5990, 369, 74718, 35019, 14750, 395, 323, 1023, 16763, 288, 3118, 44610, 11, 328, 13, 1403, 2835, 3953, 9071, 20704, 31030, 5674, 11, 6435, 6650, 10688, 315, 1695, 9071, 323, 27631, 23941, 37329, 581, 75, 488, 4017, 369, 425, 5788, 323, 60090, 6650, 315, 9974, 35019, 14750, 395, 304, 6460, 8421, 13, 25992, 35019, 14750, 395, 374, 30464, 311, 264, 7029, 2134, 315, 4787, 26775, 14750, 395, 40308, 7620, 304, 8421, 11, 9784, 11, 323, 29538, 617, 8738, 311, 7417, 420, 3062, 12688, 9974, 16763, 927, 279, 3347, 4330, 11026, 13, 763, 2144, 11, 568, 1685, 19131, 264, 5426, 2317, 13, 3700, 32331, 26775, 14750, 395, 468, 10718, 12278, 20874, 449, 293, 4289, 664, 69405, 395, 22009, 1109, 264, 220, 1135, 25, 1135, 10533, 20955, 315, 1403, 3177, 39368, 36680, 449, 9250, 1579, 12, 35658, 2653, 1918, 323, 5468, 339, 2411, 13957, 13, 578, 9849, 374, 264, 2536, 28926, 7471, 902, 14188, 31878, 10533, 6463, 17637, 7729, 25992, 26775, 14750, 395, 3277, 701, 37125, 2447, 6880, 369, 4062, 1933, 323, 5043, 21967, 11, 1797, 389, 13597, 1251, 783, 25992, 26775, 14750, 395, 13, 75560, 304, 3678, 19549, 26183, 389, 6740, 323, 7884, 58302, 520, 220, 24, 309, 13, 36364, 25, 9071, 15832, 2997, 25, 9071, 26775, 14750, 395, 369, 1789, 425, 3788, 1129, 2185, 13, 894, 14750, 395, 916, 46733, 369, 425, 2628, 9220, 35019, 14750, 395, 9606, 527, 315, 2294, 12939, 304, 369, 425, 13631, 344, 478, 1197, 5788, 26, 9974, 35019, 14750, 395, 320, 43, 337, 2411, 62387, 9761, 372, 9071, 389, 3678, 19549, 35019, 14750, 395, 33794, 6266, 323, 74718, 35019, 14750, 395, 320, 43, 337, 2411, 824, 26193, 445, 36434, 4418, 1431, 1440, 3249, 13, 578, 2800, 315, 279, 9071, 1243, 16964, 264, 8668, 315, 11704, 25, 48709, 11, 10034, 11, 4029, 477, 586, 2532, 13, 2435, 527, 16312, 88, 16763, 288, 430, 8356, 7701, 11091, 15436, 369, 425, 430, 3629, 36364, 25, 9071, 15832, 2997, 25, 9071, 26775, 14750, 395, 18137, 56854, 25, 264, 7982, 2802, 765, 36664, 356, 4730, 8604, 55794, 4730, 82894, 916, 46733, 220, 679, 19, 46733, 220, 2371, 46733, 220, 806, 46733, 35019, 14750, 395, 2902, 352, 56854, 7561, 56657, 65873, 5186, 220, 806, 11, 220, 679, 19, 9787, 26775, 14750, 395, 1288, 387, 4018, 369, 18137, 56854, 520, 279, 892, 994, 279, 5292, 16312, 374, 7314, 311, 34044, 11, 323, 293, 5962, 520, 220, 1135, 311, 220, 1399, 4, 32257, 627, 11458, 11, 15196, 11012, 315, 30508, 35019, 14750, 395, 80237, 2411, 62387, 9761, 372, 323, 490, 49086, 1604, 350, 50308, 974, 2296, 3984, 29050, 6070, 430, 54095, 369, 220, 18, 4038, 13, 1684, 16064, 11681, 16490, 26676, 344, 1590, 323, 4060, 118930, 2392, 72808, 48228, 5178, 315, 6395, 1806, 48336, 1599, 35019, 14750, 395, 304, 18671, 1561, 17340, 423, 5253, 13, 76619, 37143, 304, 264, 2134, 315, 220, 20, 13, 20, 311, 220, 22, 13, 20, 11383, 11815, 279, 1888, 74718, 35019, 14750, 395, 6650, 13, 36364, 25, 9071, 15832, 2997, 25, 9071, 26775, 14750, 395, 8604, 558, 42574, 526, 355, 916, 46733, 26775, 14750, 395, 2628, 30508, 26775, 14750, 395, 706, 220, 9870, 11, 931, 10533, 824, 31123, 323, 706, 459, 54767, 48114, 8149, 315, 220, 42973, 17560, 477, 2753, 13, 1102, 374, 90916, 389, 810, 1109, 220, 2636, 11, 931, 27464, 1475, 1060, 304, 279, 1614, 323, 52394, 10533, 5220, 70733, 3157, 279, 3158, 449, 8349, 315, 16757, 19465, 5178, 13, 33782, 13, 13309, 10388, 315, 5687, 2391, 4435, 5111, 8105, 320, 7285, 24, 12, 1774, 8, 323, 3010, 549, 815, 13, 1115, 502, 66979, 374, 6319, 311, 16343, 828, 32505, 5597, 28846, 323, 28975, 449, 279, 8244, 54554, 2068, 6975, 26470, 315, 11469, 264, 3728, 323, 70406, 40543, 11, 4857, 264, 5655, 8830, 315, 2626, 57940, 11, 323, 6522, 1579, 13, 578, 549, 815, 13, 1684, 16064, 63486, 16064, 21304, 315, 32703, 1302, 323, 279, 39775, 315, 77536, 10863, 323, 8798, 8631, 389, 1403, 74718, 35019, 14750, 395, 27981, 1590, 927, 2380, 80769, 304, 279, 2418, 675, 36409, 328, 3587, 13, 735, 25201, 323, 350, 2112, 13, 356, 1639, 555, 25, 220, 2148, 24403, 9941, 25, 220, 2550, 21, 7030, 25, 622, 445, 473, 2642, 3258, 9744, 315, 25992, 26775, 14750, 395, 482, 49687, 8483, 10181, 3788, 1129, 2185, 1276, 51093, 2726, 46733, 3754, 46733, 29085, 46733, 945, 46351, 30508, 574, 6004, 439, 279, 1176, 8205, 449, 13241, 9439, 25065, 323, 706, 10434, 439, 279, 2592, 315, 9439, 25065, 369, 1690, 315, 279, 26627, 36680, 13, 13346, 374, 17303, 555, 7319, 17614, 4367, 11, 7319, 19641, 36508, 323, 11293, 7194, 13, 578, 30508, 58984, 7473, 56714, 13, 1102, 1253, 3139, 264, 2697, 51009, 1109, 74718, 35019, 14750, 395, 11, 505, 220, 17, 311, 220, 18, 7693, 16615, 13, 85608, 13, 2163, 1450, 10873, 26869, 311, 7694, 18591, 13, 578, 7580, 315, 420, 2447, 1795, 1129, 2185, 516, 62294, 5642, 916, 14, 2366, 15, 14, 2304, 14, 2437, 3554, 14127, 12, 32710, 1030, 74237, 12, 13491, 12303, 10432, 374, 311, 28875, 11, 2274, 11, 323, 4984, 502, 12688, 2653, 88, 11, 1579, 9071, 389, 3678, 19549, 35019, 14750, 395, 78504, 369, 425, 323, 60090, 27981, 1590, 315, 9974, 35019, 14750, 395, 369, 279, 18561, 2326, 13, 2468, 279, 4545, 11, 430, 753, 279, 30508, 15150, 25, 50750, 1295, 11, 63692, 978, 11, 1160, 315, 7640, 11, 10728, 2191, 763, 29560, 299, 29562, 32199, 63823, 323, 57175, 2194, 9442, 315, 3700, 32331, 26775, 14750, 395, 423, 14657, 287, 304, 10164, 6354, 337, 41572, 3341, 34658, 349, 323, 50616, 26252, 62261, 81, 811, 13, 11995, 369, 425, 323, 60090, 4595, 315, 9974, 35019, 14750, 395, 527, 2561, 11, 439, 449, 9974, 35019, 14750, 395, 11, 719, 6136, 1193, 369, 425, 955, 1288, 387, 39441, 27981, 1590, 369, 84550, 477, 4018, 369, 425, 627, 1991, 60426, 323, 52910, 13, 220, 1049, 20, 13, 432, 9188, 16763, 520, 468, 2192, 321, 266, 5701, 11, 27484, 1543, 24098, 5165, 51887, 13207, 11, 3221, 9935, 64, 9935, 64, 11, 6841, 220, 1682, 11, 220, 1049, 23, 13, 42202, 282, 3380, 361, 510, 43, 337, 2411, 802, 1263, 258, 580, 372, 320, 31224, 32575, 6266, 53773, 1729, 939, 13, 7252, 7729, 389, 16763, 10533, 19883, 0, 4946, 42320, 13538, 20524, 65383, 87349, 432, 9188, 41046, 36922, 30, 99116, 11, 320, 1049, 15, 570, 2057, 66087, 279, 35019, 14750, 395, 11, 65391, 8522, 1288, 387, 1903, 912, 3010, 1109, 5209, 12, 311, 3389, 6186, 13, 25992, 35019, 14750, 395, 439, 264, 3504, 19641, 706, 810, 1109, 264, 13515, 315, 2450, 304, 279, 52257, 13, 578, 8706, 836, 22047, 13980, 1990, 9974, 35019, 14750, 395, 323, 15155, 35019, 14750, 395, 5020, 220, 717, 11, 220, 679, 22, 9787, 1115, 220, 17, 31021, 3236, 84550, 4007, 11953, 704, 520, 43670, 11, 29538, 11, 7427, 11, 26126, 10065, 5178, 323, 369, 425, 17910, 315, 264, 28953, 4714, 52196, 27179, 6102, 78028, 33611, 6296, 264, 24522, 52196, 27981, 277, 27179, 12331, 19549, 33611, 315, 9974, 35019, 14750, 395, 520, 2380, 80249, 7969, 320, 14899, 26, 220, 18, 13, 20, 11, 220, 20, 13, 15, 477, 220, 22, 13, 20, 10099, 824, 6520, 8, 14469, 75692, 13, 39750, 84, 936, 802, 1263, 258, 83682, 5124, 32575, 25750, 323, 74718, 35019, 14750, 395, 320, 43, 337, 2411, 824, 26193, 445, 6266, 527, 3062, 74718, 369, 425, 16763, 288, 34716, 6957, 279, 24070, 12, 311, 1579, 3880, 467, 13772, 6940, 349, 26467, 315, 279, 1917, 13, 1226, 13468, 459, 842, 5237, 70504, 79902, 304, 279, 958, 5997, 1299, 12908, 315, 279, 11141, 323, 19595, 315, 1561, 17340, 323, 13673, 57749, 315, 469, 60171, 454, 540, 263, 25568, 1015, 662, 578, 7580, 374, 311, 4984, 13241, 27981, 1590, 315, 369, 425, 10827, 9974, 35019, 14750, 395, 902, 690, 7417, 13, 6925, 13, 1442, 279, 35019, 14750, 395, 16312, 25879, 374, 220, 605, 311, 220, 806, 9653, 7029, 11, 433, 374, 21109, 436, 9188, 50955, 16763, 13, 8718, 483, 555, 765, 7054, 55332, 13, 12086, 13, 10058, 356, 13, 220, 20, 13, 1789, 425, 356, 3787, 81596, 35019, 14750, 395, 25, 15344, 7234, 323, 84550, 7978, 690, 387, 13375, 449, 5708, 261, 36952, 520, 469, 13, 220, 1272, 12, 2166, 13, 26775, 14750, 395, 18137, 56854, 374, 389, 5578, 220, 1399, 311, 220, 2397, 4, 28816, 45, 323, 220, 717, 311, 220, 845, 4, 15643, 497, 11134, 706, 1027, 264, 3575, 389, 9974, 35019, 14750, 395, 13, 26775, 14750, 395, 18137, 56854, 374, 389, 5578, 220, 1399, 311, 220, 2397, 4, 28816, 45, 323, 220, 717, 311, 9071, 389, 3678, 19549, 35019, 14750, 395, 220, 845, 4, 15643, 25992, 35019, 14750, 395, 374, 264, 12309, 3389, 5634, 1711, 6136, 11, 779, 304, 30050, 57528, 433, 1253, 1005, 27639, 3090, 323, 452, 422, 2163, 2288, 1317, 13, 3658, 30686, 16853, 128001, -100, 27, 876, 1284, 1590, 29, 1041, 15, 17359, 2341, 322, 220, 2175, 1945, 6700, 870, 198, 322, 220, 816, 16155, 12600, 38513, 198, 2341, 322, 220, 4388, 555, 41462, 48, 23332, 389, 220, 806, 14, 23, 14, 975, 627, 322, 220, 3028, 320, 66, 8, 220, 679, 19, 366, 37004, 14611, 2052, 3268, 4694, 627, 6454, 6038, 330, 56, 16155, 1939, 870, 1875, 12364, 2175, 1945, 6700, 551, 816, 16155, 1939, 271, 12, 320, 307, 40378, 1945, 769, 3349, 7264, 2651, 1843, 769, 401, 6760, 198, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87 ]
[ 128000, 22500, 3634, 5727, 1690, 18699, 21282, 9522, 7927, 33869, 706, 6908, 25127, 369, 9522, 26909, 20652, 9601, 12, 91792, 5955, 54260, 709, 369, 9522, 2409, 264, 2890, 44030, 304, 7188, 9522, 31833, 14767, 4007, 828, 4745, 311, 1501, 7720, 315, 7999, 5623, 311, 8158, 85392, 523, 6868, 323, 36908, 15419, 627, 48885, 198, 16, 198, 1073, 198, 16, 340, 19480, 472, 285, 374, 84060, 1202, 69051, 8661, 24645, 8522, 304, 279, 549, 815, 13, 323, 4606, 369, 279, 1005, 315, 1901, 316, 1955, 12175, 320, 13028, 839, 8535, 13935, 8, 439, 1008, 8783, 77282, 15419, 315, 864, 5794, 454, 80174, 3278, 449, 36908, 35268, 69788, 320, 17526, 37297, 17659, 9572, 11, 389, 279, 1203, 315, 28673, 14767, 4007, 828, 430, 4745, 311, 1501, 430, 279, 5623, 65208, 8624, 12862, 20237, 13, 578, 7626, 1071, 433, 374, 1457, 38663, 3938, 6787, 369, 279, 5623, 304, 420, 28137, 627, 19480, 472, 285, 59623, 430, 30836, 315, 279, 23331, 37935, 706, 912, 5536, 389, 279, 5131, 12054, 56190, 369, 1901, 316, 1955, 13, 4314, 2997, 1005, 315, 279, 5623, 311, 8108, 477, 7781, 69397, 14228, 4455, 304, 6978, 449, 264, 2134, 315, 68370, 780, 51423, 16239, 17685, 323, 5361, 856, 301, 7942, 11, 439, 1664, 439, 369, 279, 6514, 315, 17508, 27684, 22689, 315, 60327, 6709, 627, 791, 4754, 88143, 11967, 7720, 315, 1901, 316, 1955, 1047, 1027, 16717, 8767, 304, 264, 28673, 14767, 9269, 320, 1905, 6546, 38, 12, 717, 8, 430, 5343, 927, 220, 16, 11, 4728, 864, 5794, 454, 80174, 3278, 449, 23096, 10, 4216, 51256, 17659, 9572, 13, 1115, 4007, 12090, 430, 7999, 1901, 316, 1955, 311, 74218, 15419, 1306, 15173, 927, 2380, 1667, 13241, 8624, 12862, 20237, 555, 220, 843, 14697, 2956, 505, 420, 9269, 14454, 279, 8197, 315, 279, 69051, 8661, 37935, 13019, 304, 220, 1049, 24, 627, 11458, 11, 264, 2132, 41653, 6492, 315, 279, 810, 3293, 28673, 14767, 35219, 4007, 4745, 311, 64523, 279, 19921, 7939, 12, 717, 9269, 14955, 13, 35219, 6532, 220, 18, 11, 6843, 864, 12, 323, 1772, 5794, 454, 80174, 3278, 449, 4216, 17659, 9572, 11, 323, 279, 41653, 828, 1120, 5068, 8710, 430, 7999, 1901, 316, 1955, 311, 5410, 1772, 1355, 85392, 1008, 8783, 77282, 62730, 323, 5255, 74218, 15419, 1047, 912, 7720, 389, 8624, 12862, 20237, 13, 4723, 472, 285, 1587, 11, 4869, 11, 1486, 704, 430, 264, 864, 501, 7443, 6492, 3196, 389, 3026, 454, 80174, 2704, 1550, 13519, 2225, 264, 8624, 12862, 20237, 323, 8244, 20237, 8935, 315, 1901, 316, 1955, 1008, 8783, 77282, 15419, 304, 3278, 449, 1664, 64868, 3026, 84110, 627, 791, 7626, 8349, 1901, 316, 1955, 374, 279, 1455, 13882, 1511, 15184, 764, 24527, 263, 349, 304, 78970, 2508, 8522, 13, 578, 5623, 374, 12054, 304, 927, 220, 1041, 5961, 323, 706, 1027, 1511, 311, 4322, 927, 220, 18, 13, 24, 3610, 6978, 15603, 13, 1901, 316, 1955, 1903, 15603, 6763, 1120, 33394, 315, 400, 16, 13, 20, 7239, 304, 220, 1049, 24, 11, 323, 400, 18199, 3610, 304, 279, 4948, 8502, 315, 220, 679, 15, 627, 57, 42831, 8535, 13935, 374, 1101, 279, 4642, 25795, 304, 4723, 472, 285, 529, 3131, 4771, 398, 1050, 566, 561, 10576, 566, 14635, 52368, 89766, 10934, 15419, 13, 1050, 566, 561, 10576, 566, 14635, 1903, 6763, 315, 400, 21757, 3610, 304, 220, 1049, 24, 11, 709, 220, 4218, 4, 389, 220, 1049, 24, 13, 1102, 17427, 6763, 315, 400, 10290, 3610, 304, 279, 4948, 8502, 315, 220, 679, 15, 11, 709, 220, 868, 4, 389, 279, 1890, 8502, 279, 3766, 1060, 627, 644, 6664, 4723, 472, 285, 5068, 502, 1317, 9860, 828, 91115, 279, 1317, 9860, 41265, 323, 7296, 5643, 315, 3131, 4771, 398, 362, 566, 14635, 304, 1772, 5794, 454, 80174, 3278, 449, 52368, 89766, 10934, 13, 578, 9269, 11, 2737, 927, 220, 16, 11, 1049, 3278, 11, 8710, 430, 3278, 12020, 1701, 362, 566, 15790, 369, 4848, 1667, 1047, 264, 220, 4103, 4, 4827, 5326, 315, 502, 27448, 24264, 35776, 78332, 7863, 1524, 449, 1884, 889, 4036, 279, 5623, 369, 2380, 1667, 13, 46701, 25107, 17915, 4315, 6978, 889, 10717, 362, 566, 14635, 6514, 1306, 2380, 1667, 25983, 11, 719, 2103, 14958, 1664, 3485, 279, 5990, 17303, 520, 279, 7314, 13, 128001, 128000, 12792, 579, 264, 52524, 11071, 315, 5684, 449, 264, 3185, 3160, 315, 220, 17, 25800, 220, 19, 1139, 8223, 220, 16, 865, 220, 16, 5089, 32440, 323, 2440, 1124, 439, 6982, 304, 279, 26610, 627, 12487, 11816, 279, 11071, 315, 5684, 3235, 279, 23546, 315, 279, 9518, 779, 430, 499, 636, 264, 9518, 5729, 315, 5684, 449, 279, 32440, 389, 1948, 315, 1855, 1023, 304, 279, 2015, 315, 872, 5219, 13, 578, 1948, 9518, 304, 279, 5729, 1288, 9093, 617, 279, 1396, 220, 16, 11, 279, 1828, 279, 1396, 220, 17, 323, 779, 389, 13, 578, 9518, 449, 279, 1396, 220, 23, 1288, 387, 520, 279, 1633, 5740, 13, 578, 5219, 649, 387, 36941, 1523, 477, 389, 279, 1203, 315, 279, 11071, 13, 4452, 11, 279, 11071, 315, 5684, 2011, 539, 387, 21830, 477, 14763, 304, 904, 1023, 1648, 627, 4438, 656, 499, 11816, 279, 11071, 30, 128001, 128000, 2181, 374, 449, 8987, 23492, 430, 584, 1618, 520, 279, 26520, 6406, 12517, 85545, 5158, 14435, 264, 21901, 72643, 311, 264, 4846, 8925, 4900, 11, 27562, 622, 13, 78484, 627, 63443, 2299, 527, 813, 7555, 76243, 648, 11, 2905, 598, 403, 26, 26419, 11, 76249, 88920, 320, 43, 1216, 4355, 8, 78484, 315, 18787, 8270, 11, 13286, 26, 27562, 48961, 1468, 320, 41, 484, 8, 78484, 315, 1901, 919, 8078, 26, 77449, 21256, 320, 94704, 8, 78484, 315, 35766, 8078, 11, 4987, 13030, 26, 8096, 26044, 320, 1951, 12930, 8, 40796, 315, 2905, 598, 403, 11, 323, 45318, 13929, 320, 11342, 3074, 8, 40796, 315, 42451, 627, 1548, 574, 53580, 304, 4648, 555, 813, 6699, 11, 76249, 473, 13, 323, 10455, 21256, 78484, 26, 10868, 469, 13, 20661, 78484, 26, 3094, 27510, 11, 38649, 9489, 320, 23376, 1136, 414, 17882, 8, 78484, 323, 66955, 11, 27524, 88920, 78484, 627, 32, 32079, 2532, 323, 25960, 315, 27562, 753, 2324, 690, 387, 520, 220, 806, 25, 410, 264, 749, 2637, 389, 8079, 11, 5936, 220, 777, 11, 220, 679, 22, 11, 520, 5629, 3723, 68601, 9441, 11, 2905, 598, 403, 11, 449, 59766, 4418, 356, 1074, 2856, 23747, 627, 128001, 128000, 54622, 220, 605, 1667, 4227, 198, 27982, 220, 605, 1667, 4227, 198, 5966, 11041, 220, 24, 1667, 4227, 198, 2, 3174, 8036, 23011, 320, 12071, 340, 16384, 1003, 555, 21454, 2442, 33323, 7404, 4984, 5355, 1052, 198, 5116, 198, 6687, 1445, 320, 3646, 3293, 1650, 1566, 997, 1738, 330, 22348, 7345, 498, 1584, 220, 12533, 11, 304, 366, 4450, 397, 22348, 7789, 746, 1738, 330, 22348, 7345, 498, 1584, 220, 12171, 11, 304, 1629, 198, 3556, 659, 45451, 4019, 1738, 330, 22348, 7345, 498, 1584, 220, 11123, 11, 304, 6471, 198, 21355, 11, 2246, 8, 284, 19713, 17421, 29429, 340, 1738, 330, 66, 7338, 50878, 59, 22348, 59, 3632, 59, 1445, 1438, 59, 20091, 7345, 498, 1584, 220, 5495, 11, 304, 1920, 198, 437, 73850, 4556, 340, 13466, 1480, 4925, 510, 1480, 220, 843, 60, 578, 1920, 4250, 2680, 279, 1052, 1606, 433, 374, 1694, 198, 2656, 555, 2500, 1920, 25, 8044, 4164, 11346, 320, 16, 340, 6313, 25, 16, 47394, 220, 605, 1667, 4227, 555, 274, 8363, 198, 12, 38216, 743, 311, 8482, 198, 12, 8266, 5614, 505, 502, 311, 8036, 198, 9290, 25, 3580, 1183, 582, 56421, 369, 1520, 389, 1701, 14741, 627, 2028, 374, 264, 3575, 449, 279, 3851, 430, 499, 527, 1701, 11, 539, 449, 279, 8803, 3016, 13, 578, 3851, 374, 539, 28965, 433, 596, 1052, 994, 433, 374, 2884, 369, 1063, 2944, 627, 40, 4284, 499, 1934, 420, 311, 279, 3851, 13707, 13, 1666, 264, 60130, 11, 499, 1436, 1893, 264, 662, 14034, 1052, 13564, 369, 701, 40377, 3851, 13, 2468, 279, 842, 11, 1304, 433, 6212, 369, 264, 2478, 6622, 311, 3868, 369, 279, 3851, 311, 4984, 433, 596, 5070, 627, 9290, 430, 5632, 1587, 539, 617, 264, 6212, 3290, 477, 2555, 4528, 13, 1472, 1205, 311, 4685, 433, 20684, 477, 12700, 433, 1701, 384, 1326, 13, 279, 31098, 3290, 13, 3580, 25, 128001, 128000, 3968, 402, 263, 17390, 527, 17226, 10062, 277, 13795, 14580, 28168, 3695, 31706, 315, 264, 220, 868, 24948, 1481, 263, 30535, 323, 527, 14454, 505, 264, 9046, 315, 279, 14345, 4010, 782, 857, 590, 38970, 13, 578, 1176, 11411, 3094, 315, 18779, 263, 590, 49554, 74767, 374, 34454, 1065, 291, 555, 523, 47314, 68, 43998, 521, 26, 420, 13010, 18065, 279, 9955, 42725, 315, 220, 19, 1824, 283, 5730, 2303, 75, 87271, 32, 449, 2380, 35715, 315, 8811, 3633, 75, 87271, 32, 311, 1376, 264, 523, 47314, 68, 18779, 263, 590, 71261, 320, 30035, 13, 220, 16, 570, 1115, 71261, 35496, 1139, 4726, 49554, 1910, 18015, 25481, 902, 7692, 3060, 220, 20, 6953, 61263, 1517, 402, 263, 17390, 477, 220, 20, 2902, 68107, 4223, 1517, 402, 263, 17390, 13, 3061, 402, 263, 17390, 649, 387, 4726, 1207, 15144, 291, 1139, 18779, 263, 17390, 323, 374, 1073, 79936, 263, 17390, 4184, 311, 3508, 279, 14345, 4010, 1912, 374, 12673, 311, 356, 17, 477, 356, 18, 320, 300, 449, 279, 18779, 263, 337, 16909, 3342, 809, 337, 477, 279, 374, 1073, 79936, 606, 3067, 307, 3059, 258, 11, 15947, 26, 23966, 13, 220, 16, 4390, 3968, 402, 263, 590, 5788, 374, 64564, 304, 11012, 323, 1521, 32246, 527, 11383, 5938, 449, 6136, 23682, 14847, 11, 304, 5369, 311, 72700, 258, 323, 23064, 511, 8503, 258, 5788, 320, 54, 82276, 31361, 404, 3258, 220, 1049, 16, 570, 578, 1176, 11311, 369, 279, 3560, 315, 3789, 10397, 38477, 18779, 263, 17390, 2391, 67754, 91260, 574, 279, 36572, 7645, 315, 18098, 269, 71, 450, 677, 2411, 10804, 24911, 72, 16387, 2987, 21389, 320, 35666, 26484, 8, 555, 326, 1088, 37737, 11, 264, 18779, 606, 320, 47, 2481, 1880, 453, 13, 220, 3753, 21, 705, 323, 279, 38156, 315, 18452, 450, 677, 2411, 90203, 337, 3893, 16387, 21389, 555, 18779, 3233, 505, 5405, 424, 320, 6161, 12669, 1880, 453, 13, 220, 3753, 21, 570, 3804, 72457, 3495, 706, 11054, 3892, 1023, 18779, 263, 17390, 6532, 304, 279, 16387, 2987, 91977, 315, 1690, 6136, 9606, 320, 19981, 291, 555, 426, 6478, 263, 1880, 453, 13, 220, 1049, 15, 570, 1102, 706, 1027, 10555, 430, 1063, 18779, 263, 590, 14726, 527, 1193, 9124, 555, 4040, 11012, 26, 369, 3187, 11, 374, 1073, 79936, 263, 590, 5788, 374, 7347, 311, 279, 32743, 50012, 78, 579, 6043, 320, 269, 19797, 78, 579, 6043, 8, 1207, 19521, 315, 279, 7765, 10318, 437, 6043, 320, 35, 29572, 1880, 453, 13, 220, 1049, 17, 570, 1115, 20057, 315, 18779, 263, 590, 5788, 706, 1027, 5938, 449, 26679, 11, 520, 3325, 304, 961, 11, 279, 198, 27125, 420, 4652, 11190, 5380, 2822, 810, 86075, 11, 54097, 477, 6784, 477, 701, 3300, 374, 94552, 0, 23088, 323, 14644, 3014, 16655, 18955, 32269, 561, 763, 13421, 23508, 8886, 499, 3411, 369, 264, 6220, 11, 5043, 323, 15690, 27208, 369, 701, 21249, 41580, 19405, 30, 2175, 45995, 315, 430, 32269, 561, 763, 13421, 10291, 4800, 323, 1789, 7839, 0, 128001 ]
[ -100, 22500, 3634, 5727, 1690, 18699, 21282, 9522, 7927, 33869, 706, 6908, 25127, 369, 9522, 26909, 20652, 9601, 12, 91792, 5955, 54260, 709, 369, 9522, 2409, 264, 2890, 44030, 304, 7188, 9522, 31833, 14767, 4007, 828, 4745, 311, 1501, 7720, 315, 7999, 5623, 311, 8158, 85392, 523, 6868, 323, 36908, 15419, 627, 48885, 198, 16, 198, 1073, 198, 16, 340, 19480, 472, 285, 374, 84060, 1202, 69051, 8661, 24645, 8522, 304, 279, 549, 815, 13, 323, 4606, 369, 279, 1005, 315, 1901, 316, 1955, 12175, 320, 13028, 839, 8535, 13935, 8, 439, 1008, 8783, 77282, 15419, 315, 864, 5794, 454, 80174, 3278, 449, 36908, 35268, 69788, 320, 17526, 37297, 17659, 9572, 11, 389, 279, 1203, 315, 28673, 14767, 4007, 828, 430, 4745, 311, 1501, 430, 279, 5623, 65208, 8624, 12862, 20237, 13, 578, 7626, 1071, 433, 374, 1457, 38663, 3938, 6787, 369, 279, 5623, 304, 420, 28137, 627, 19480, 472, 285, 59623, 430, 30836, 315, 279, 23331, 37935, 706, 912, 5536, 389, 279, 5131, 12054, 56190, 369, 1901, 316, 1955, 13, 4314, 2997, 1005, 315, 279, 5623, 311, 8108, 477, 7781, 69397, 14228, 4455, 304, 6978, 449, 264, 2134, 315, 68370, 780, 51423, 16239, 17685, 323, 5361, 856, 301, 7942, 11, 439, 1664, 439, 369, 279, 6514, 315, 17508, 27684, 22689, 315, 60327, 6709, 627, 791, 4754, 88143, 11967, 7720, 315, 1901, 316, 1955, 1047, 1027, 16717, 8767, 304, 264, 28673, 14767, 9269, 320, 1905, 6546, 38, 12, 717, 8, 430, 5343, 927, 220, 16, 11, 4728, 864, 5794, 454, 80174, 3278, 449, 23096, 10, 4216, 51256, 17659, 9572, 13, 1115, 4007, 12090, 430, 7999, 1901, 316, 1955, 311, 74218, 15419, 1306, 15173, 927, 2380, 1667, 13241, 8624, 12862, 20237, 555, 220, 843, 14697, 2956, 505, 420, 9269, 14454, 279, 8197, 315, 279, 69051, 8661, 37935, 13019, 304, 220, 1049, 24, 627, 11458, 11, 264, 2132, 41653, 6492, 315, 279, 810, 3293, 28673, 14767, 35219, 4007, 4745, 311, 64523, 279, 19921, 7939, 12, 717, 9269, 14955, 13, 35219, 6532, 220, 18, 11, 6843, 864, 12, 323, 1772, 5794, 454, 80174, 3278, 449, 4216, 17659, 9572, 11, 323, 279, 41653, 828, 1120, 5068, 8710, 430, 7999, 1901, 316, 1955, 311, 5410, 1772, 1355, 85392, 1008, 8783, 77282, 62730, 323, 5255, 74218, 15419, 1047, 912, 7720, 389, 8624, 12862, 20237, 13, 4723, 472, 285, 1587, 11, 4869, 11, 1486, 704, 430, 264, 864, 501, 7443, 6492, 3196, 389, 3026, 454, 80174, 2704, 1550, 13519, 2225, 264, 8624, 12862, 20237, 323, 8244, 20237, 8935, 315, 1901, 316, 1955, 1008, 8783, 77282, 15419, 304, 3278, 449, 1664, 64868, 3026, 84110, 627, 791, 7626, 8349, 1901, 316, 1955, 374, 279, 1455, 13882, 1511, 15184, 764, 24527, 263, 349, 304, 78970, 2508, 8522, 13, 578, 5623, 374, 12054, 304, 927, 220, 1041, 5961, 323, 706, 1027, 1511, 311, 4322, 927, 220, 18, 13, 24, 3610, 6978, 15603, 13, 1901, 316, 1955, 1903, 15603, 6763, 1120, 33394, 315, 400, 16, 13, 20, 7239, 304, 220, 1049, 24, 11, 323, 400, 18199, 3610, 304, 279, 4948, 8502, 315, 220, 679, 15, 627, 57, 42831, 8535, 13935, 374, 1101, 279, 4642, 25795, 304, 4723, 472, 285, 529, 3131, 4771, 398, 1050, 566, 561, 10576, 566, 14635, 52368, 89766, 10934, 15419, 13, 1050, 566, 561, 10576, 566, 14635, 1903, 6763, 315, 400, 21757, 3610, 304, 220, 1049, 24, 11, 709, 220, 4218, 4, 389, 220, 1049, 24, 13, 1102, 17427, 6763, 315, 400, 10290, 3610, 304, 279, 4948, 8502, 315, 220, 679, 15, 11, 709, 220, 868, 4, 389, 279, 1890, 8502, 279, 3766, 1060, 627, 644, 6664, 4723, 472, 285, 5068, 502, 1317, 9860, 828, 91115, 279, 1317, 9860, 41265, 323, 7296, 5643, 315, 3131, 4771, 398, 362, 566, 14635, 304, 1772, 5794, 454, 80174, 3278, 449, 52368, 89766, 10934, 13, 578, 9269, 11, 2737, 927, 220, 16, 11, 1049, 3278, 11, 8710, 430, 3278, 12020, 1701, 362, 566, 15790, 369, 4848, 1667, 1047, 264, 220, 4103, 4, 4827, 5326, 315, 502, 27448, 24264, 35776, 78332, 7863, 1524, 449, 1884, 889, 4036, 279, 5623, 369, 2380, 1667, 13, 46701, 25107, 17915, 4315, 6978, 889, 10717, 362, 566, 14635, 6514, 1306, 2380, 1667, 25983, 11, 719, 2103, 14958, 1664, 3485, 279, 5990, 17303, 520, 279, 7314, 13, 128001, -100, 12792, 579, 264, 52524, 11071, 315, 5684, 449, 264, 3185, 3160, 315, 220, 17, 25800, 220, 19, 1139, 8223, 220, 16, 865, 220, 16, 5089, 32440, 323, 2440, 1124, 439, 6982, 304, 279, 26610, 627, 12487, 11816, 279, 11071, 315, 5684, 3235, 279, 23546, 315, 279, 9518, 779, 430, 499, 636, 264, 9518, 5729, 315, 5684, 449, 279, 32440, 389, 1948, 315, 1855, 1023, 304, 279, 2015, 315, 872, 5219, 13, 578, 1948, 9518, 304, 279, 5729, 1288, 9093, 617, 279, 1396, 220, 16, 11, 279, 1828, 279, 1396, 220, 17, 323, 779, 389, 13, 578, 9518, 449, 279, 1396, 220, 23, 1288, 387, 520, 279, 1633, 5740, 13, 578, 5219, 649, 387, 36941, 1523, 477, 389, 279, 1203, 315, 279, 11071, 13, 4452, 11, 279, 11071, 315, 5684, 2011, 539, 387, 21830, 477, 14763, 304, 904, 1023, 1648, 627, 4438, 656, 499, 11816, 279, 11071, 30, 128001, -100, 2181, 374, 449, 8987, 23492, 430, 584, 1618, 520, 279, 26520, 6406, 12517, 85545, 5158, 14435, 264, 21901, 72643, 311, 264, 4846, 8925, 4900, 11, 27562, 622, 13, 78484, 627, 63443, 2299, 527, 813, 7555, 76243, 648, 11, 2905, 598, 403, 26, 26419, 11, 76249, 88920, 320, 43, 1216, 4355, 8, 78484, 315, 18787, 8270, 11, 13286, 26, 27562, 48961, 1468, 320, 41, 484, 8, 78484, 315, 1901, 919, 8078, 26, 77449, 21256, 320, 94704, 8, 78484, 315, 35766, 8078, 11, 4987, 13030, 26, 8096, 26044, 320, 1951, 12930, 8, 40796, 315, 2905, 598, 403, 11, 323, 45318, 13929, 320, 11342, 3074, 8, 40796, 315, 42451, 627, 1548, 574, 53580, 304, 4648, 555, 813, 6699, 11, 76249, 473, 13, 323, 10455, 21256, 78484, 26, 10868, 469, 13, 20661, 78484, 26, 3094, 27510, 11, 38649, 9489, 320, 23376, 1136, 414, 17882, 8, 78484, 323, 66955, 11, 27524, 88920, 78484, 627, 32, 32079, 2532, 323, 25960, 315, 27562, 753, 2324, 690, 387, 520, 220, 806, 25, 410, 264, 749, 2637, 389, 8079, 11, 5936, 220, 777, 11, 220, 679, 22, 11, 520, 5629, 3723, 68601, 9441, 11, 2905, 598, 403, 11, 449, 59766, 4418, 356, 1074, 2856, 23747, 627, 128001, -100, 54622, 220, 605, 1667, 4227, 198, 27982, 220, 605, 1667, 4227, 198, 5966, 11041, 220, 24, 1667, 4227, 198, 2, 3174, 8036, 23011, 320, 12071, 340, 16384, 1003, 555, 21454, 2442, 33323, 7404, 4984, 5355, 1052, 198, 5116, 198, 6687, 1445, 320, 3646, 3293, 1650, 1566, 997, 1738, 330, 22348, 7345, 498, 1584, 220, 12533, 11, 304, 366, 4450, 397, 22348, 7789, 746, 1738, 330, 22348, 7345, 498, 1584, 220, 12171, 11, 304, 1629, 198, 3556, 659, 45451, 4019, 1738, 330, 22348, 7345, 498, 1584, 220, 11123, 11, 304, 6471, 198, 21355, 11, 2246, 8, 284, 19713, 17421, 29429, 340, 1738, 330, 66, 7338, 50878, 59, 22348, 59, 3632, 59, 1445, 1438, 59, 20091, 7345, 498, 1584, 220, 5495, 11, 304, 1920, 198, 437, 73850, 4556, 340, 13466, 1480, 4925, 510, 1480, 220, 843, 60, 578, 1920, 4250, 2680, 279, 1052, 1606, 433, 374, 1694, 198, 2656, 555, 2500, 1920, 25, 8044, 4164, 11346, 320, 16, 340, 6313, 25, 16, 47394, 220, 605, 1667, 4227, 555, 274, 8363, 198, 12, 38216, 743, 311, 8482, 198, 12, 8266, 5614, 505, 502, 311, 8036, 198, 9290, 25, 3580, 1183, 582, 56421, 369, 1520, 389, 1701, 14741, 627, 2028, 374, 264, 3575, 449, 279, 3851, 430, 499, 527, 1701, 11, 539, 449, 279, 8803, 3016, 13, 578, 3851, 374, 539, 28965, 433, 596, 1052, 994, 433, 374, 2884, 369, 1063, 2944, 627, 40, 4284, 499, 1934, 420, 311, 279, 3851, 13707, 13, 1666, 264, 60130, 11, 499, 1436, 1893, 264, 662, 14034, 1052, 13564, 369, 701, 40377, 3851, 13, 2468, 279, 842, 11, 1304, 433, 6212, 369, 264, 2478, 6622, 311, 3868, 369, 279, 3851, 311, 4984, 433, 596, 5070, 627, 9290, 430, 5632, 1587, 539, 617, 264, 6212, 3290, 477, 2555, 4528, 13, 1472, 1205, 311, 4685, 433, 20684, 477, 12700, 433, 1701, 384, 1326, 13, 279, 31098, 3290, 13, 3580, 25, 128001, -100, 3968, 402, 263, 17390, 527, 17226, 10062, 277, 13795, 14580, 28168, 3695, 31706, 315, 264, 220, 868, 24948, 1481, 263, 30535, 323, 527, 14454, 505, 264, 9046, 315, 279, 14345, 4010, 782, 857, 590, 38970, 13, 578, 1176, 11411, 3094, 315, 18779, 263, 590, 49554, 74767, 374, 34454, 1065, 291, 555, 523, 47314, 68, 43998, 521, 26, 420, 13010, 18065, 279, 9955, 42725, 315, 220, 19, 1824, 283, 5730, 2303, 75, 87271, 32, 449, 2380, 35715, 315, 8811, 3633, 75, 87271, 32, 311, 1376, 264, 523, 47314, 68, 18779, 263, 590, 71261, 320, 30035, 13, 220, 16, 570, 1115, 71261, 35496, 1139, 4726, 49554, 1910, 18015, 25481, 902, 7692, 3060, 220, 20, 6953, 61263, 1517, 402, 263, 17390, 477, 220, 20, 2902, 68107, 4223, 1517, 402, 263, 17390, 13, 3061, 402, 263, 17390, 649, 387, 4726, 1207, 15144, 291, 1139, 18779, 263, 17390, 323, 374, 1073, 79936, 263, 17390, 4184, 311, 3508, 279, 14345, 4010, 1912, 374, 12673, 311, 356, 17, 477, 356, 18, 320, 300, 449, 279, 18779, 263, 337, 16909, 3342, 809, 337, 477, 279, 374, 1073, 79936, 606, 3067, 307, 3059, 258, 11, 15947, 26, 23966, 13, 220, 16, 4390, 3968, 402, 263, 590, 5788, 374, 64564, 304, 11012, 323, 1521, 32246, 527, 11383, 5938, 449, 6136, 23682, 14847, 11, 304, 5369, 311, 72700, 258, 323, 23064, 511, 8503, 258, 5788, 320, 54, 82276, 31361, 404, 3258, 220, 1049, 16, 570, 578, 1176, 11311, 369, 279, 3560, 315, 3789, 10397, 38477, 18779, 263, 17390, 2391, 67754, 91260, 574, 279, 36572, 7645, 315, 18098, 269, 71, 450, 677, 2411, 10804, 24911, 72, 16387, 2987, 21389, 320, 35666, 26484, 8, 555, 326, 1088, 37737, 11, 264, 18779, 606, 320, 47, 2481, 1880, 453, 13, 220, 3753, 21, 705, 323, 279, 38156, 315, 18452, 450, 677, 2411, 90203, 337, 3893, 16387, 21389, 555, 18779, 3233, 505, 5405, 424, 320, 6161, 12669, 1880, 453, 13, 220, 3753, 21, 570, 3804, 72457, 3495, 706, 11054, 3892, 1023, 18779, 263, 17390, 6532, 304, 279, 16387, 2987, 91977, 315, 1690, 6136, 9606, 320, 19981, 291, 555, 426, 6478, 263, 1880, 453, 13, 220, 1049, 15, 570, 1102, 706, 1027, 10555, 430, 1063, 18779, 263, 590, 14726, 527, 1193, 9124, 555, 4040, 11012, 26, 369, 3187, 11, 374, 1073, 79936, 263, 590, 5788, 374, 7347, 311, 279, 32743, 50012, 78, 579, 6043, 320, 269, 19797, 78, 579, 6043, 8, 1207, 19521, 315, 279, 7765, 10318, 437, 6043, 320, 35, 29572, 1880, 453, 13, 220, 1049, 17, 570, 1115, 20057, 315, 18779, 263, 590, 5788, 706, 1027, 5938, 449, 26679, 11, 520, 3325, 304, 961, 11, 279, 198, 27125, 420, 4652, 11190, 5380, 2822, 810, 86075, 11, 54097, 477, 6784, 477, 701, 3300, 374, 94552, 0, 23088, 323, 14644, 3014, 16655, 18955, 32269, 561, 763, 13421, 23508, 8886, 499, 3411, 369, 264, 6220, 11, 5043, 323, 15690, 27208, 369, 701, 21249, 41580, 19405, 30, 2175, 45995, 315, 430, 32269, 561, 763, 13421, 10291, 4800, 323, 1789, 7839, 0, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 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 ]
[ 128000, 40, 617, 10283, 315, 6848, 369, 3566, 8522, 13, 4427, 315, 1124, 527, 14470, 18754, 11, 3885, 617, 1027, 5128, 7155, 13, 7648, 315, 279, 892, 11, 358, 1541, 1431, 656, 4205, 449, 459, 4623, 1023, 1109, 1781, 922, 1124, 13, 7357, 1457, 323, 1243, 11, 459, 4623, 690, 2216, 9396, 927, 892, 323, 358, 4805, 656, 2555, 922, 433, 627, 4897, 753, 1268, 19881, 454, 16042, 916, 2751, 3940, 1389, 433, 574, 459, 4623, 358, 3463, 1555, 369, 264, 1060, 1603, 358, 3596, 1071, 264, 3492, 311, 5606, 13, 578, 4623, 9508, 779, 1695, 311, 757, 430, 358, 7846, 1431, 1095, 433, 733, 11, 779, 9778, 358, 6688, 1139, 856, 1866, 73153, 323, 45425, 264, 4500, 2128, 13, 1102, 753, 304, 35343, 1457, 323, 690, 387, 2133, 3974, 1633, 5246, 13, 1442, 499, 3207, 1139, 16576, 70407, 11, 1817, 433, 704, 627, 92159, 78212, 916, 574, 264, 6724, 2204, 3446, 13, 1102, 3287, 1431, 8493, 904, 892, 520, 682, 304, 279, 4623, 38231, 36670, 13, 1102, 3782, 311, 757, 304, 279, 17639, 323, 358, 574, 47541, 433, 311, 22770, 81015, 942, 520, 31416, 3075, 1603, 856, 7013, 574, 1524, 9235, 13, 22770, 3463, 279, 4623, 574, 7155, 11, 779, 584, 50098, 433, 311, 813, 13707, 13, 1102, 5828, 1431, 1317, 1603, 584, 1051, 1234, 1648, 13, 763, 2144, 11, 8725, 78212, 916, 690, 1455, 4461, 733, 3974, 1828, 2046, 36113, 13, 9479, 2046, 13, 19229, 19923, 627, 2746, 499, 4070, 2646, 3288, 264, 12072, 1093, 420, 1603, 11, 8725, 78212, 690, 5113, 351, 2740, 1304, 499, 264, 9676, 2663, 25247, 449, 279, 1176, 907, 439, 220, 6860, 15, 13, 1442, 433, 753, 539, 701, 1176, 12072, 11, 433, 690, 923, 264, 502, 907, 315, 220, 6860, 15, 311, 701, 6484, 9676, 13, 1102, 5829, 279, 2457, 323, 892, 499, 3288, 279, 12072, 311, 2035, 433, 389, 279, 865, 36421, 11, 779, 499, 1541, 1431, 1205, 311, 11196, 922, 430, 627, 1271, 1427, 520, 420, 502, 9676, 11, 499, 649, 1120, 733, 311, 8725, 78212, 916, 14, 6584, 19668, 320, 22479, 23068, 1217, 836, 8, 323, 1518, 682, 279, 27223, 499, 4070, 3549, 320, 11945, 8725, 78212, 916, 12775, 1431, 11887, 3686, 11, 779, 1541, 1431, 1755, 311, 1518, 701, 9676, 1070, 1120, 3686, 4390, 92159, 78212, 916, 690, 733, 3974, 36113, 304, 279, 1828, 220, 22, 12, 605, 2919, 320, 906, 3207, 7999, 264, 2478, 9099, 4519, 570, 763, 279, 33953, 11, 1456, 8725, 78212, 704, 13, 11244, 264, 12072, 311, 571, 360, 78212, 449, 2555, 499, 1390, 311, 2567, 3839, 315, 11, 1243, 733, 311, 1057, 48862, 4676, 320, 267, 4210, 68106, 78212, 916, 14, 6584, 19668, 8, 323, 1817, 433, 704, 13, 2030, 1541, 1431, 11196, 11, 422, 499, 636, 57727, 311, 8725, 78212, 1603, 584, 733, 3974, 11, 584, 3207, 9293, 389, 4737, 682, 279, 828, 304, 48862, 3974, 449, 603, 13, 2100, 499, 2834, 1431, 9229, 701, 9341, 304, 8725, 78212, 994, 584, 2543, 279, 13001, 389, 627, 2520, 279, 3335, 11, 358, 3287, 1431, 656, 904, 1972, 990, 389, 8725, 78212, 916, 13, 22770, 81015, 942, 11, 56637, 83108, 11, 323, 279, 3885, 520, 31416, 3075, 1550, 682, 279, 2653, 990, 323, 358, 23781, 2751, 311, 1514, 449, 872, 990, 2027, 13, 2030, 584, 1550, 617, 264, 2478, 20954, 922, 3566, 3851, 2955, 16565, 584, 4934, 311, 2385, 8725, 78212, 916, 389, 627, 30724, 520, 279, 1176, 95883, 4545, 13, 1226, 617, 264, 2027, 430, 4375, 13, 1102, 753, 4382, 11, 323, 7155, 13, 4946, 264, 3048, 66, 1683, 39620, 279, 4623, 323, 9567, 603, 704, 315, 279, 1847, 1606, 584, 3287, 1431, 3868, 311, 7195, 449, 264, 59774, 2027, 743, 30, 10926, 13, 358, 4344, 16026, 1694, 1176, 13146, 1455, 627, 6349, 12117, 279, 9341, 279, 1217, 706, 311, 1304, 311, 1005, 8725, 78212, 13, 2052, 433, 5097, 374, 264, 12072, 11, 1120, 220, 6860, 5885, 11, 311, 636, 3940, 449, 8725, 78212, 13, 2360, 5982, 2631, 13, 1226, 1541, 1431, 1390, 701, 2613, 13, 4702, 3708, 603, 264, 12072, 323, 584, 4805, 1304, 499, 264, 9676, 627, 10267, 279, 3932, 10491, 1268, 311, 1005, 8725, 78212, 13, 1226, 1541, 1431, 617, 264, 31089, 1148, 279, 7029, 1917, 690, 1005, 8725, 78212, 311, 9676, 13, 1226, 617, 1063, 6848, 369, 1268, 584, 4805, 1005, 433, 1389, 358, 4344, 26060, 25247, 449, 433, 13, 1472, 2643, 1797, 4585, 8772, 11, 3300, 7543, 389, 6962, 11, 8996, 13, 1226, 1541, 1431, 617, 264, 31089, 1405, 433, 690, 733, 11, 719, 584, 1390, 499, 311, 10491, 627, 40, 3987, 1884, 315, 499, 889, 23068, 690, 1456, 8725, 78212, 704, 11, 323, 1095, 757, 1440, 1148, 499, 1781, 13, 128001, 128000, 791, 2955, 315, 279, 1207, 31549, 315, 23162, 15316, 1253, 387, 2204, 11, 719, 304, 682, 5157, 433, 374, 264, 10824, 315, 3892, 5540, 11, 2737, 279, 16940, 11, 74085, 11, 29539, 323, 1672, 15853, 13931, 13, 578, 1176, 315, 1521, 13931, 5097, 279, 2865, 505, 279, 41394, 11, 51051, 433, 311, 279, 14620, 323, 31135, 433, 927, 279, 2385, 13, 1666, 420, 6324, 649, 387, 264, 19115, 12235, 477, 17614, 13, 9580, 287, 374, 264, 29050, 6324, 430, 5990, 279, 6103, 315, 279, 16940, 627, 791, 3756, 315, 279, 1207, 31549, 389, 279, 18929, 627, 2746, 5995, 11, 6106, 279, 31332, 315, 279, 6558, 482, 433, 1253, 387, 5995, 369, 279, 3838, 304, 279, 3634, 315, 279, 15197, 482, 433, 3966, 311, 387, 19167, 520, 420, 6566, 11, 902, 649, 387, 17427, 555, 1701, 264, 8020, 291, 13, 578, 29539, 6324, 304, 279, 12914, 374, 15609, 555, 264, 6324, 21583, 279, 41394, 323, 1023, 6956, 315, 279, 330, 48484, 3343, 763, 77218, 279, 27035, 11, 1672, 15853, 13931, 527, 1101, 1511, 11, 902, 3041, 279, 6070, 8798, 11, 32257, 323, 12248, 49117, 17910, 627, 2520, 990, 433, 374, 5995, 311, 10772, 512, 56553, 315, 264, 9235, 1207, 31549, 389, 18929, 389, 279, 6558, 55791, 627, 791, 1920, 315, 77218, 1063, 315, 279, 27035, 4871, 279, 45888, 374, 11953, 704, 389, 958, 31549, 56814, 11, 902, 527, 4661, 539, 11754, 555, 4442, 304, 38193, 323, 9499, 13, 1115, 60944, 279, 1205, 311, 3493, 5217, 8798, 323, 38752, 49117, 311, 279, 6070, 627, 2520, 1778, 6558, 96939, 11, 12248, 49117, 690, 387, 4460, 11, 323, 422, 1070, 527, 40983, 389, 279, 6558, 11, 433, 374, 5995, 311, 3493, 279, 22959, 449, 81373, 9313, 627, 2746, 279, 6558, 304, 264, 1515, 3838, 374, 7559, 1990, 279, 20658, 6558, 323, 279, 653, 383, 660, 31741, 11, 433, 374, 11349, 311, 8369, 433, 627, 791, 6530, 315, 8369, 3805, 32738, 374, 15910, 505, 279, 32813, 3130, 311, 279, 31741, 11, 9093, 11, 264, 29219, 38752, 22881, 3966, 311, 387, 60862, 927, 279, 8798, 1672, 15853, 11, 25012, 433, 1234, 264, 46536, 6558, 18702, 627, 81556, 11, 279, 8798, 1672, 10733, 690, 3719, 14739, 6702, 1306, 279, 18488, 315, 9955, 729, 349, 323, 9229, 1202, 8798, 7666, 100092, 17910, 627, 791, 3756, 315, 279, 23963, 369, 279, 27035, 389, 279, 5015, 627, 791, 6558, 649, 1101, 387, 1903, 389, 279, 5015, 13, 7648, 315, 279, 3885, 304, 279, 1515, 89401, 8356, 14028, 315, 27035, 389, 279, 12899, 64982, 13, 13538, 499, 3240, 311, 26458, 279, 1887, 389, 279, 5015, 11, 499, 1205, 311, 1304, 2771, 430, 433, 374, 9235, 13, 578, 6558, 389, 279, 7479, 315, 279, 11815, 2011, 387, 22563, 24121, 994, 1070, 527, 912, 2865, 92253, 51045, 304, 279, 14620, 13, 15483, 264, 6558, 374, 15609, 555, 264, 19596, 6070, 9678, 315, 279, 14620, 627, 791, 14028, 315, 279, 7633, 8246, 1288, 387, 3940, 449, 279, 17065, 315, 279, 1948, 6324, 315, 17614, 505, 279, 26326, 11, 2133, 19662, 555, 220, 1135, 10166, 11, 279, 5740, 1288, 387, 10409, 449, 74535, 13, 578, 43425, 1288, 387, 21147, 6901, 323, 17251, 291, 13, 4800, 433, 374, 3284, 311, 1304, 14028, 315, 1862, 13, 763, 279, 3560, 315, 3769, 11, 433, 374, 70668, 369, 1124, 311, 1005, 264, 25878, 11, 902, 1288, 539, 387, 5554, 8630, 11, 719, 2579, 13, 1442, 279, 2673, 315, 279, 11815, 374, 539, 810, 1109, 220, 5154, 9653, 11, 872, 14028, 1288, 387, 1903, 304, 220, 16, 13, 20, 50137, 11, 20444, 422, 279, 2673, 374, 220, 5154, 9653, 477, 810, 11, 279, 35744, 1288, 387, 15609, 555, 1403, 50137, 627, 91084, 11, 499, 1205, 311, 4685, 11815, 2212, 279, 47442, 315, 279, 3838, 11, 18054, 1124, 555, 220, 1399, 10166, 11, 279, 2237, 690, 2187, 499, 311, 1817, 279, 2361, 13, 4740, 1288, 10570, 311, 279, 14028, 315, 279, 9861, 11815, 13, 5112, 872, 10548, 1205, 311, 387, 2682, 449, 264, 17055, 1672, 10733, 11, 902, 649, 387, 10485, 261, 590, 11, 17551, 304, 220, 17, 12, 18, 13931, 13, 8442, 1243, 3240, 311, 11203, 2865, 92253, 51045, 482, 6573, 18929, 13, 11205, 2361, 1101, 3966, 311, 387, 10273, 555, 2237, 13, 480, 49240, 477, 11077, 4282, 649, 387, 17551, 1234, 279, 2385, 369, 27358, 315, 279, 16600, 11, 902, 1243, 1205, 311, 387, 60862, 3871, 449, 51045, 449, 40943, 13, 4800, 499, 649, 1212, 35744, 279, 1207, 31549, 304, 279, 3838, 13, 578, 23162, 3838, 520, 420, 6566, 649, 387, 17665, 449, 264, 10707, 5047, 4580, 13, 1952, 279, 10165, 6558, 11, 499, 649, 11203, 279, 6558, 18702, 555, 279, 955, 315, 10006, 1286, 372, 477, 28954, 627, 87619, 956, 1505, 279, 4320, 304, 279, 4652, 30, 4497, 2038, 389, 279, 8712, 512, 4266, 315, 34739, 369, 53555, 388, 198, 57235, 26640, 315, 53555, 388, 13, 18989, 728, 388, 323, 25485, 369, 872, 5043, 6147, 13, 20289, 490, 1892, 15502, 4214, 13, 17674, 490, 1892, 57322, 13, 128001 ]
[ -100, 40, 617, 10283, 315, 6848, 369, 3566, 8522, 13, 4427, 315, 1124, 527, 14470, 18754, 11, 3885, 617, 1027, 5128, 7155, 13, 7648, 315, 279, 892, 11, 358, 1541, 1431, 656, 4205, 449, 459, 4623, 1023, 1109, 1781, 922, 1124, 13, 7357, 1457, 323, 1243, 11, 459, 4623, 690, 2216, 9396, 927, 892, 323, 358, 4805, 656, 2555, 922, 433, 627, 4897, 753, 1268, 19881, 454, 16042, 916, 2751, 3940, 1389, 433, 574, 459, 4623, 358, 3463, 1555, 369, 264, 1060, 1603, 358, 3596, 1071, 264, 3492, 311, 5606, 13, 578, 4623, 9508, 779, 1695, 311, 757, 430, 358, 7846, 1431, 1095, 433, 733, 11, 779, 9778, 358, 6688, 1139, 856, 1866, 73153, 323, 45425, 264, 4500, 2128, 13, 1102, 753, 304, 35343, 1457, 323, 690, 387, 2133, 3974, 1633, 5246, 13, 1442, 499, 3207, 1139, 16576, 70407, 11, 1817, 433, 704, 627, 92159, 78212, 916, 574, 264, 6724, 2204, 3446, 13, 1102, 3287, 1431, 8493, 904, 892, 520, 682, 304, 279, 4623, 38231, 36670, 13, 1102, 3782, 311, 757, 304, 279, 17639, 323, 358, 574, 47541, 433, 311, 22770, 81015, 942, 520, 31416, 3075, 1603, 856, 7013, 574, 1524, 9235, 13, 22770, 3463, 279, 4623, 574, 7155, 11, 779, 584, 50098, 433, 311, 813, 13707, 13, 1102, 5828, 1431, 1317, 1603, 584, 1051, 1234, 1648, 13, 763, 2144, 11, 8725, 78212, 916, 690, 1455, 4461, 733, 3974, 1828, 2046, 36113, 13, 9479, 2046, 13, 19229, 19923, 627, 2746, 499, 4070, 2646, 3288, 264, 12072, 1093, 420, 1603, 11, 8725, 78212, 690, 5113, 351, 2740, 1304, 499, 264, 9676, 2663, 25247, 449, 279, 1176, 907, 439, 220, 6860, 15, 13, 1442, 433, 753, 539, 701, 1176, 12072, 11, 433, 690, 923, 264, 502, 907, 315, 220, 6860, 15, 311, 701, 6484, 9676, 13, 1102, 5829, 279, 2457, 323, 892, 499, 3288, 279, 12072, 311, 2035, 433, 389, 279, 865, 36421, 11, 779, 499, 1541, 1431, 1205, 311, 11196, 922, 430, 627, 1271, 1427, 520, 420, 502, 9676, 11, 499, 649, 1120, 733, 311, 8725, 78212, 916, 14, 6584, 19668, 320, 22479, 23068, 1217, 836, 8, 323, 1518, 682, 279, 27223, 499, 4070, 3549, 320, 11945, 8725, 78212, 916, 12775, 1431, 11887, 3686, 11, 779, 1541, 1431, 1755, 311, 1518, 701, 9676, 1070, 1120, 3686, 4390, 92159, 78212, 916, 690, 733, 3974, 36113, 304, 279, 1828, 220, 22, 12, 605, 2919, 320, 906, 3207, 7999, 264, 2478, 9099, 4519, 570, 763, 279, 33953, 11, 1456, 8725, 78212, 704, 13, 11244, 264, 12072, 311, 571, 360, 78212, 449, 2555, 499, 1390, 311, 2567, 3839, 315, 11, 1243, 733, 311, 1057, 48862, 4676, 320, 267, 4210, 68106, 78212, 916, 14, 6584, 19668, 8, 323, 1817, 433, 704, 13, 2030, 1541, 1431, 11196, 11, 422, 499, 636, 57727, 311, 8725, 78212, 1603, 584, 733, 3974, 11, 584, 3207, 9293, 389, 4737, 682, 279, 828, 304, 48862, 3974, 449, 603, 13, 2100, 499, 2834, 1431, 9229, 701, 9341, 304, 8725, 78212, 994, 584, 2543, 279, 13001, 389, 627, 2520, 279, 3335, 11, 358, 3287, 1431, 656, 904, 1972, 990, 389, 8725, 78212, 916, 13, 22770, 81015, 942, 11, 56637, 83108, 11, 323, 279, 3885, 520, 31416, 3075, 1550, 682, 279, 2653, 990, 323, 358, 23781, 2751, 311, 1514, 449, 872, 990, 2027, 13, 2030, 584, 1550, 617, 264, 2478, 20954, 922, 3566, 3851, 2955, 16565, 584, 4934, 311, 2385, 8725, 78212, 916, 389, 627, 30724, 520, 279, 1176, 95883, 4545, 13, 1226, 617, 264, 2027, 430, 4375, 13, 1102, 753, 4382, 11, 323, 7155, 13, 4946, 264, 3048, 66, 1683, 39620, 279, 4623, 323, 9567, 603, 704, 315, 279, 1847, 1606, 584, 3287, 1431, 3868, 311, 7195, 449, 264, 59774, 2027, 743, 30, 10926, 13, 358, 4344, 16026, 1694, 1176, 13146, 1455, 627, 6349, 12117, 279, 9341, 279, 1217, 706, 311, 1304, 311, 1005, 8725, 78212, 13, 2052, 433, 5097, 374, 264, 12072, 11, 1120, 220, 6860, 5885, 11, 311, 636, 3940, 449, 8725, 78212, 13, 2360, 5982, 2631, 13, 1226, 1541, 1431, 1390, 701, 2613, 13, 4702, 3708, 603, 264, 12072, 323, 584, 4805, 1304, 499, 264, 9676, 627, 10267, 279, 3932, 10491, 1268, 311, 1005, 8725, 78212, 13, 1226, 1541, 1431, 617, 264, 31089, 1148, 279, 7029, 1917, 690, 1005, 8725, 78212, 311, 9676, 13, 1226, 617, 1063, 6848, 369, 1268, 584, 4805, 1005, 433, 1389, 358, 4344, 26060, 25247, 449, 433, 13, 1472, 2643, 1797, 4585, 8772, 11, 3300, 7543, 389, 6962, 11, 8996, 13, 1226, 1541, 1431, 617, 264, 31089, 1405, 433, 690, 733, 11, 719, 584, 1390, 499, 311, 10491, 627, 40, 3987, 1884, 315, 499, 889, 23068, 690, 1456, 8725, 78212, 704, 11, 323, 1095, 757, 1440, 1148, 499, 1781, 13, 128001, -100, 791, 2955, 315, 279, 1207, 31549, 315, 23162, 15316, 1253, 387, 2204, 11, 719, 304, 682, 5157, 433, 374, 264, 10824, 315, 3892, 5540, 11, 2737, 279, 16940, 11, 74085, 11, 29539, 323, 1672, 15853, 13931, 13, 578, 1176, 315, 1521, 13931, 5097, 279, 2865, 505, 279, 41394, 11, 51051, 433, 311, 279, 14620, 323, 31135, 433, 927, 279, 2385, 13, 1666, 420, 6324, 649, 387, 264, 19115, 12235, 477, 17614, 13, 9580, 287, 374, 264, 29050, 6324, 430, 5990, 279, 6103, 315, 279, 16940, 627, 791, 3756, 315, 279, 1207, 31549, 389, 279, 18929, 627, 2746, 5995, 11, 6106, 279, 31332, 315, 279, 6558, 482, 433, 1253, 387, 5995, 369, 279, 3838, 304, 279, 3634, 315, 279, 15197, 482, 433, 3966, 311, 387, 19167, 520, 420, 6566, 11, 902, 649, 387, 17427, 555, 1701, 264, 8020, 291, 13, 578, 29539, 6324, 304, 279, 12914, 374, 15609, 555, 264, 6324, 21583, 279, 41394, 323, 1023, 6956, 315, 279, 330, 48484, 3343, 763, 77218, 279, 27035, 11, 1672, 15853, 13931, 527, 1101, 1511, 11, 902, 3041, 279, 6070, 8798, 11, 32257, 323, 12248, 49117, 17910, 627, 2520, 990, 433, 374, 5995, 311, 10772, 512, 56553, 315, 264, 9235, 1207, 31549, 389, 18929, 389, 279, 6558, 55791, 627, 791, 1920, 315, 77218, 1063, 315, 279, 27035, 4871, 279, 45888, 374, 11953, 704, 389, 958, 31549, 56814, 11, 902, 527, 4661, 539, 11754, 555, 4442, 304, 38193, 323, 9499, 13, 1115, 60944, 279, 1205, 311, 3493, 5217, 8798, 323, 38752, 49117, 311, 279, 6070, 627, 2520, 1778, 6558, 96939, 11, 12248, 49117, 690, 387, 4460, 11, 323, 422, 1070, 527, 40983, 389, 279, 6558, 11, 433, 374, 5995, 311, 3493, 279, 22959, 449, 81373, 9313, 627, 2746, 279, 6558, 304, 264, 1515, 3838, 374, 7559, 1990, 279, 20658, 6558, 323, 279, 653, 383, 660, 31741, 11, 433, 374, 11349, 311, 8369, 433, 627, 791, 6530, 315, 8369, 3805, 32738, 374, 15910, 505, 279, 32813, 3130, 311, 279, 31741, 11, 9093, 11, 264, 29219, 38752, 22881, 3966, 311, 387, 60862, 927, 279, 8798, 1672, 15853, 11, 25012, 433, 1234, 264, 46536, 6558, 18702, 627, 81556, 11, 279, 8798, 1672, 10733, 690, 3719, 14739, 6702, 1306, 279, 18488, 315, 9955, 729, 349, 323, 9229, 1202, 8798, 7666, 100092, 17910, 627, 791, 3756, 315, 279, 23963, 369, 279, 27035, 389, 279, 5015, 627, 791, 6558, 649, 1101, 387, 1903, 389, 279, 5015, 13, 7648, 315, 279, 3885, 304, 279, 1515, 89401, 8356, 14028, 315, 27035, 389, 279, 12899, 64982, 13, 13538, 499, 3240, 311, 26458, 279, 1887, 389, 279, 5015, 11, 499, 1205, 311, 1304, 2771, 430, 433, 374, 9235, 13, 578, 6558, 389, 279, 7479, 315, 279, 11815, 2011, 387, 22563, 24121, 994, 1070, 527, 912, 2865, 92253, 51045, 304, 279, 14620, 13, 15483, 264, 6558, 374, 15609, 555, 264, 19596, 6070, 9678, 315, 279, 14620, 627, 791, 14028, 315, 279, 7633, 8246, 1288, 387, 3940, 449, 279, 17065, 315, 279, 1948, 6324, 315, 17614, 505, 279, 26326, 11, 2133, 19662, 555, 220, 1135, 10166, 11, 279, 5740, 1288, 387, 10409, 449, 74535, 13, 578, 43425, 1288, 387, 21147, 6901, 323, 17251, 291, 13, 4800, 433, 374, 3284, 311, 1304, 14028, 315, 1862, 13, 763, 279, 3560, 315, 3769, 11, 433, 374, 70668, 369, 1124, 311, 1005, 264, 25878, 11, 902, 1288, 539, 387, 5554, 8630, 11, 719, 2579, 13, 1442, 279, 2673, 315, 279, 11815, 374, 539, 810, 1109, 220, 5154, 9653, 11, 872, 14028, 1288, 387, 1903, 304, 220, 16, 13, 20, 50137, 11, 20444, 422, 279, 2673, 374, 220, 5154, 9653, 477, 810, 11, 279, 35744, 1288, 387, 15609, 555, 1403, 50137, 627, 91084, 11, 499, 1205, 311, 4685, 11815, 2212, 279, 47442, 315, 279, 3838, 11, 18054, 1124, 555, 220, 1399, 10166, 11, 279, 2237, 690, 2187, 499, 311, 1817, 279, 2361, 13, 4740, 1288, 10570, 311, 279, 14028, 315, 279, 9861, 11815, 13, 5112, 872, 10548, 1205, 311, 387, 2682, 449, 264, 17055, 1672, 10733, 11, 902, 649, 387, 10485, 261, 590, 11, 17551, 304, 220, 17, 12, 18, 13931, 13, 8442, 1243, 3240, 311, 11203, 2865, 92253, 51045, 482, 6573, 18929, 13, 11205, 2361, 1101, 3966, 311, 387, 10273, 555, 2237, 13, 480, 49240, 477, 11077, 4282, 649, 387, 17551, 1234, 279, 2385, 369, 27358, 315, 279, 16600, 11, 902, 1243, 1205, 311, 387, 60862, 3871, 449, 51045, 449, 40943, 13, 4800, 499, 649, 1212, 35744, 279, 1207, 31549, 304, 279, 3838, 13, 578, 23162, 3838, 520, 420, 6566, 649, 387, 17665, 449, 264, 10707, 5047, 4580, 13, 1952, 279, 10165, 6558, 11, 499, 649, 11203, 279, 6558, 18702, 555, 279, 955, 315, 10006, 1286, 372, 477, 28954, 627, 87619, 956, 1505, 279, 4320, 304, 279, 4652, 30, 4497, 2038, 389, 279, 8712, 512, 4266, 315, 34739, 369, 53555, 388, 198, 57235, 26640, 315, 53555, 388, 13, 18989, 728, 388, 323, 25485, 369, 872, 5043, 6147, 13, 20289, 490, 1892, 15502, 4214, 13, 17674, 490, 1892, 57322, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 1844, 18736, 5000, 69523, 35695, 1389, 8886, 814, 279, 7252, 5380, 13622, 21739, 430, 8964, 1148, 27862, 3566, 20256, 6787, 374, 2736, 8010, 430, 814, 527, 539, 279, 1888, 955, 315, 20256, 704, 1070, 13, 4452, 11, 584, 4250, 682, 10150, 279, 1888, 3284, 20256, 323, 584, 1541, 1431, 682, 1205, 279, 1888, 20256, 499, 649, 11000, 1505, 13, 2684, 527, 2204, 4595, 315, 20256, 11, 520, 2204, 7729, 11, 369, 264, 2944, 627, 2688, 16470, 706, 279, 8199, 311, 8493, 11758, 315, 11441, 1475, 2305, 389, 20256, 13, 4427, 4250, 1524, 10150, 311, 8493, 400, 914, 264, 2305, 389, 20256, 13, 1115, 374, 3249, 6222, 20256, 6866, 323, 433, 6276, 279, 9333, 8199, 311, 617, 264, 6140, 311, 2231, 872, 836, 304, 279, 9072, 449, 682, 279, 1023, 8294, 5220, 323, 13335, 704, 1070, 627, 791, 2678, 2626, 1587, 539, 2744, 636, 3403, 1520, 323, 14188, 1587, 279, 3927, 4560, 311, 1212, 704, 2930, 477, 449, 264, 2626, 13, 3296, 19301, 832, 315, 279, 27862, 3566, 20256, 6787, 11, 499, 649, 636, 701, 1212, 2085, 10917, 264, 6908, 14512, 304, 701, 8199, 13, 3161, 1063, 315, 279, 27862, 3566, 20256, 6787, 11, 499, 690, 20025, 2231, 264, 18653, 304, 701, 8199, 627, 10156, 1093, 449, 4205, 775, 430, 374, 539, 279, 1888, 11, 1070, 374, 1695, 323, 1070, 374, 3958, 449, 27862, 3566, 20256, 6787, 13, 1472, 527, 2133, 311, 617, 279, 5845, 311, 2231, 709, 682, 279, 13335, 323, 26743, 499, 1205, 311, 11, 719, 420, 374, 539, 279, 1455, 9966, 20256, 13, 12838, 420, 3152, 430, 264, 55222, 374, 2133, 311, 636, 304, 323, 7066, 682, 701, 990, 30, 2876, 14647, 11, 719, 422, 499, 5268, 264, 3428, 12239, 2883, 11, 420, 1436, 1633, 1664, 3621, 311, 499, 627, 1844, 18736, 20256, 690, 2187, 499, 311, 656, 1690, 2574, 323, 499, 690, 539, 617, 311, 11196, 922, 12798, 904, 810, 1109, 279, 400, 17, 311, 400, 914, 701, 3197, 2853, 499, 1475, 3254, 2305, 13, 1115, 374, 539, 1790, 369, 20256, 323, 499, 649, 1505, 2294, 6787, 369, 2212, 400, 605, 311, 400, 868, 430, 527, 810, 9966, 1109, 279, 23917, 27862, 3566, 20256, 6787, 627, 791, 1401, 374, 311, 636, 264, 2294, 2883, 323, 264, 14677, 3622, 369, 701, 27862, 20256, 13, 14677, 16692, 527, 3967, 369, 1694, 810, 9966, 11, 16127, 311, 17524, 11, 323, 1790, 2731, 16785, 1109, 5632, 16692, 13, 4452, 11, 1070, 527, 1063, 2294, 7720, 311, 19301, 20256, 449, 264, 5632, 3622, 994, 433, 4131, 311, 279, 2955, 323, 1063, 315, 279, 7526, 499, 649, 1005, 627, 2746, 499, 5268, 279, 1314, 2883, 433, 690, 1304, 264, 11493, 6811, 449, 420, 955, 315, 20256, 1109, 4205, 775, 13, 25531, 264, 1948, 2883, 374, 264, 32961, 1606, 499, 1205, 279, 1862, 323, 31638, 814, 690, 3493, 13, 1442, 499, 1541, 1431, 636, 264, 1695, 2883, 11, 499, 1253, 8493, 4207, 14892, 449, 4819, 430, 499, 1541, 1431, 1205, 311, 387, 14892, 449, 627, 1489, 374, 3300, 323, 264, 1695, 20256, 2883, 690, 3665, 499, 892, 323, 3300, 555, 10209, 499, 264, 2294, 6462, 369, 264, 13579, 3430, 13, 2435, 690, 1101, 3493, 499, 449, 279, 5043, 323, 15062, 1862, 499, 1755, 15716, 499, 1205, 433, 13, 3161, 279, 1314, 2883, 323, 264, 6462, 2539, 315, 5505, 4519, 11, 499, 690, 387, 3025, 311, 2231, 709, 264, 3997, 477, 5117, 304, 912, 892, 627, 12834, 1063, 315, 603, 990, 505, 264, 9333, 8199, 1109, 1023, 11, 3794, 2294, 27862, 3566, 20256, 6787, 374, 1633, 3062, 13, 1472, 690, 617, 11709, 505, 279, 400, 17, 477, 400, 18, 2134, 824, 2305, 323, 709, 13, 578, 1888, 4623, 374, 311, 1817, 704, 264, 2478, 2204, 14519, 430, 5052, 1139, 701, 8199, 323, 636, 279, 832, 430, 690, 3493, 499, 449, 279, 4519, 499, 1205, 627, 38195, 9616, 264, 2478, 5220, 323, 14519, 1603, 499, 55190, 701, 5597, 13, 1115, 690, 6106, 430, 499, 636, 264, 1695, 5873, 369, 499, 20256, 323, 690, 2187, 499, 311, 7216, 704, 1148, 7041, 433, 374, 499, 1205, 13, 1442, 499, 1935, 701, 892, 323, 5268, 264, 1695, 2883, 11, 499, 649, 2216, 8935, 505, 27862, 3566, 20256, 6787, 627, 29755, 279, 1314, 2626, 3566, 20256, 3600, 649, 1304, 264, 2466, 6811, 304, 279, 22613, 499, 1304, 2930, 13, 9176, 2204, 2626, 20256, 11709, 527, 539, 682, 430, 1695, 369, 499, 11, 719, 279, 1314, 5873, 649, 1304, 264, 6811, 13, 2360, 1403, 9873, 527, 279, 1890, 323, 499, 1205, 311, 5268, 20256, 430, 18809, 279, 5016, 3966, 499, 617, 627, 86021, 374, 279, 16665, 315, 701, 3997, 477, 5117, 323, 994, 499, 5268, 832, 315, 279, 1695, 2626, 3566, 20256, 3600, 11, 499, 690, 1518, 279, 6811, 13, 1472, 617, 311, 1505, 279, 1314, 955, 315, 20256, 323, 279, 1314, 2883, 477, 499, 1253, 387, 6376, 6261, 709, 369, 8060, 13, 2684, 374, 539, 264, 7347, 3392, 315, 11709, 323, 499, 1205, 311, 1427, 1139, 279, 6305, 430, 527, 1888, 369, 499, 627, 43346, 2771, 499, 636, 279, 1314, 20256, 690, 3041, 499, 264, 16665, 430, 374, 1633, 3831, 13, 578, 2883, 2011, 1862, 701, 9045, 7373, 323, 499, 2011, 387, 3025, 311, 37455, 389, 701, 2447, 4619, 315, 40876, 922, 701, 20256, 13, 1115, 374, 279, 1401, 311, 3794, 1148, 499, 1205, 704, 315, 701, 3997, 477, 5117, 323, 499, 617, 311, 387, 3025, 311, 7216, 704, 1148, 499, 1205, 627, 791, 1176, 5873, 499, 690, 387, 17011, 449, 374, 3508, 499, 1390, 701, 20256, 389, 264, 14677, 3622, 477, 389, 264, 5632, 3622, 13, 1115, 690, 4018, 279, 20256, 1917, 304, 4376, 477, 520, 3325, 4018, 701, 2671, 1523, 264, 2766, 13, 4427, 5220, 3085, 2225, 11, 719, 3885, 26549, 1005, 3060, 14677, 16692, 477, 5632, 16692, 13, 9176, 10932, 14677, 369, 872, 2626, 3566, 20256, 3600, 627, 6153, 499, 1304, 420, 1176, 5597, 499, 2216, 617, 311, 7216, 704, 422, 6222, 20256, 11, 650, 5119, 20256, 11, 15161, 20256, 11, 477, 12514, 3622, 20256, 690, 387, 1314, 369, 701, 2626, 13, 1115, 374, 264, 1401, 5597, 323, 422, 499, 1541, 1431, 5268, 279, 1314, 955, 315, 20256, 499, 1253, 1120, 842, 709, 449, 20256, 430, 1587, 539, 1862, 499, 1633, 1664, 627, 791, 1401, 311, 3794, 279, 1314, 20256, 374, 27393, 2204, 14519, 3156, 499, 1505, 279, 1314, 832, 369, 499, 13, 1115, 3445, 499, 617, 311, 2231, 304, 264, 2766, 315, 990, 323, 656, 1063, 3495, 13, 578, 1695, 3754, 374, 430, 584, 617, 11102, 1523, 1475, 955, 315, 20256, 499, 649, 13085, 304, 264, 2478, 315, 1057, 1023, 8158, 13, 4314, 649, 1520, 499, 311, 636, 1148, 499, 1205, 627, 86021, 374, 264, 1633, 3062, 961, 315, 701, 2626, 323, 499, 1288, 1440, 430, 422, 499, 1051, 311, 5268, 6222, 20256, 11, 719, 4460, 5066, 4868, 323, 4519, 11, 323, 1243, 499, 2643, 539, 617, 279, 1314, 16665, 369, 279, 2930, 961, 315, 701, 2626, 13, 7557, 2771, 499, 2980, 701, 8199, 323, 279, 3966, 315, 701, 7224, 1603, 499, 5268, 279, 1314, 20256, 369, 499, 627, 2746, 499, 527, 264, 2678, 311, 11298, 30387, 2626, 323, 499, 4250, 10150, 264, 12514, 3622, 11, 584, 7079, 19301, 650, 5119, 20256, 3600, 13, 1115, 690, 3041, 499, 1690, 315, 279, 7720, 315, 12514, 20256, 2085, 279, 1579, 2853, 13, 9176, 9873, 649, 10150, 264, 650, 5119, 20256, 6462, 430, 690, 990, 369, 1124, 11, 719, 4250, 10150, 264, 3622, 369, 872, 20256, 627, 23025, 1120, 6041, 1022, 1288, 5268, 6222, 20256, 11, 1120, 311, 636, 459, 4623, 315, 1268, 20256, 4375, 323, 636, 264, 3997, 709, 13, 1442, 682, 499, 1205, 374, 264, 6913, 3997, 323, 5255, 5117, 369, 701, 2626, 11, 1243, 6222, 20256, 1253, 387, 279, 1314, 832, 315, 279, 2626, 3566, 20256, 3600, 369, 499, 13, 1115, 1436, 387, 264, 1695, 5597, 422, 499, 1541, 1431, 617, 1790, 311, 8493, 627, 791, 2626, 430, 374, 4560, 311, 2216, 1304, 3300, 2930, 323, 2216, 3966, 311, 617, 279, 1888, 706, 311, 636, 264, 12514, 3622, 369, 872, 20256, 13, 578, 9152, 20256, 6425, 374, 1888, 11, 439, 499, 690, 539, 617, 311, 3838, 279, 3622, 477, 18467, 459, 8871, 5687, 311, 3568, 449, 433, 369, 499, 13, 1115, 374, 279, 1888, 315, 682, 279, 2626, 3566, 20256, 3600, 627, 3923, 3169, 315, 3622, 35286, 2680, 656, 499, 3493, 30, 3234, 701, 6787, 2997, 41563, 11, 48650, 11, 323, 6654, 2599, 5380, 2460, 315, 1057, 9815, 2997, 41563, 11, 48650, 11, 323, 6654, 2599, 2532, 13, 5751, 1193, 20020, 374, 430, 369, 41563, 584, 1193, 2187, 34799, 301, 13539, 6933, 14564, 311, 4667, 13, 763, 2015, 311, 1005, 41563, 499, 690, 617, 311, 1893, 264, 1862, 11989, 449, 701, 6933, 323, 1243, 584, 649, 68827, 433, 311, 6106, 499, 649, 4667, 627, 128001, 128000, 791, 38180, 8735, 19073, 11223, 502, 14640, 7950, 430, 9395, 311, 48863, 8108, 37647, 45612, 505, 6484, 323, 13945, 52714, 2410, 11012, 11, 36024, 279, 1176, 892, 279, 6918, 3109, 706, 22486, 12782, 40589, 20748, 505, 6484, 2410, 11012, 11, 902, 7068, 4056, 914, 4, 315, 549, 815, 13, 37647, 6962, 25793, 627, 791, 25027, 19721, 16784, 1071, 1202, 3197, 1053, 4018, 12782, 20748, 505, 11756, 11012, 323, 502, 6962, 11012, 555, 220, 21717, 44, 18767, 20181, 2391, 220, 2366, 23, 12, 2983, 11, 279, 13890, 315, 18189, 279, 9974, 20748, 315, 220, 10148, 44, 24023, 11731, 627, 791, 3197, 1053, 5457, 279, 4907, 323, 2410, 19647, 311, 6288, 4546, 709, 311, 5569, 12782, 12, 323, 61083, 1824, 2756, 1711, 5557, 430, 374, 2103, 304, 1202, 86617, 627, 37707, 12602, 11, 513, 593, 55681, 323, 5942, 5557, 5131, 374, 1511, 520, 1193, 264, 21030, 477, 779, 315, 279, 220, 18, 11, 3443, 11756, 323, 6962, 72678, 18200, 11012, 304, 279, 549, 815, 627, 64445, 682, 11756, 11012, 1389, 439, 1664, 439, 3544, 11, 14134, 1511, 6962, 72678, 2410, 11012, 1389, 1053, 387, 2631, 311, 4018, 477, 12602, 520, 3325, 220, 1954, 4, 315, 872, 12782, 40589, 20748, 555, 220, 9639, 23, 11, 323, 11012, 430, 4250, 3449, 279, 502, 10886, 1053, 387, 9770, 311, 16177, 627, 791, 27250, 1550, 539, 3493, 17989, 315, 1268, 1790, 433, 1053, 2853, 311, 4305, 279, 3197, 11, 719, 459, 6492, 555, 279, 9785, 6690, 5546, 11994, 1071, 25678, 1303, 264, 8518, 13230, 220, 3101, 45582, 5933, 6962, 6136, 449, 12782, 12602, 1053, 2853, 264, 15919, 400, 17662, 44, 323, 2853, 264, 4528, 7321, 11756, 6136, 4056, 3, 5067, 44, 627, 644, 459, 5149, 311, 5766, 279, 25382, 315, 279, 7250, 52443, 9785, 7572, 9878, 1389, 279, 13814, 7301, 21989, 304, 220, 2366, 17, 430, 279, 27250, 1047, 927, 5455, 7069, 1202, 23331, 11447, 1389, 279, 502, 38180, 3197, 7612, 47311, 315, 37647, 45612, 4871, 2410, 11012, 1418, 7231, 4907, 30519, 810, 25152, 927, 1268, 311, 11322, 20748, 11811, 627, 34141, 420, 2305, 11, 279, 549, 815, 13, 15660, 40704, 39297, 502, 11223, 5718, 20034, 520, 18189, 61083, 37796, 505, 279, 3224, 753, 4009, 315, 220, 17, 13, 22, 44, 8931, 315, 5933, 6962, 58773, 13, 128001 ]
[ -100, 1844, 18736, 5000, 69523, 35695, 1389, 8886, 814, 279, 7252, 5380, 13622, 21739, 430, 8964, 1148, 27862, 3566, 20256, 6787, 374, 2736, 8010, 430, 814, 527, 539, 279, 1888, 955, 315, 20256, 704, 1070, 13, 4452, 11, 584, 4250, 682, 10150, 279, 1888, 3284, 20256, 323, 584, 1541, 1431, 682, 1205, 279, 1888, 20256, 499, 649, 11000, 1505, 13, 2684, 527, 2204, 4595, 315, 20256, 11, 520, 2204, 7729, 11, 369, 264, 2944, 627, 2688, 16470, 706, 279, 8199, 311, 8493, 11758, 315, 11441, 1475, 2305, 389, 20256, 13, 4427, 4250, 1524, 10150, 311, 8493, 400, 914, 264, 2305, 389, 20256, 13, 1115, 374, 3249, 6222, 20256, 6866, 323, 433, 6276, 279, 9333, 8199, 311, 617, 264, 6140, 311, 2231, 872, 836, 304, 279, 9072, 449, 682, 279, 1023, 8294, 5220, 323, 13335, 704, 1070, 627, 791, 2678, 2626, 1587, 539, 2744, 636, 3403, 1520, 323, 14188, 1587, 279, 3927, 4560, 311, 1212, 704, 2930, 477, 449, 264, 2626, 13, 3296, 19301, 832, 315, 279, 27862, 3566, 20256, 6787, 11, 499, 649, 636, 701, 1212, 2085, 10917, 264, 6908, 14512, 304, 701, 8199, 13, 3161, 1063, 315, 279, 27862, 3566, 20256, 6787, 11, 499, 690, 20025, 2231, 264, 18653, 304, 701, 8199, 627, 10156, 1093, 449, 4205, 775, 430, 374, 539, 279, 1888, 11, 1070, 374, 1695, 323, 1070, 374, 3958, 449, 27862, 3566, 20256, 6787, 13, 1472, 527, 2133, 311, 617, 279, 5845, 311, 2231, 709, 682, 279, 13335, 323, 26743, 499, 1205, 311, 11, 719, 420, 374, 539, 279, 1455, 9966, 20256, 13, 12838, 420, 3152, 430, 264, 55222, 374, 2133, 311, 636, 304, 323, 7066, 682, 701, 990, 30, 2876, 14647, 11, 719, 422, 499, 5268, 264, 3428, 12239, 2883, 11, 420, 1436, 1633, 1664, 3621, 311, 499, 627, 1844, 18736, 20256, 690, 2187, 499, 311, 656, 1690, 2574, 323, 499, 690, 539, 617, 311, 11196, 922, 12798, 904, 810, 1109, 279, 400, 17, 311, 400, 914, 701, 3197, 2853, 499, 1475, 3254, 2305, 13, 1115, 374, 539, 1790, 369, 20256, 323, 499, 649, 1505, 2294, 6787, 369, 2212, 400, 605, 311, 400, 868, 430, 527, 810, 9966, 1109, 279, 23917, 27862, 3566, 20256, 6787, 627, 791, 1401, 374, 311, 636, 264, 2294, 2883, 323, 264, 14677, 3622, 369, 701, 27862, 20256, 13, 14677, 16692, 527, 3967, 369, 1694, 810, 9966, 11, 16127, 311, 17524, 11, 323, 1790, 2731, 16785, 1109, 5632, 16692, 13, 4452, 11, 1070, 527, 1063, 2294, 7720, 311, 19301, 20256, 449, 264, 5632, 3622, 994, 433, 4131, 311, 279, 2955, 323, 1063, 315, 279, 7526, 499, 649, 1005, 627, 2746, 499, 5268, 279, 1314, 2883, 433, 690, 1304, 264, 11493, 6811, 449, 420, 955, 315, 20256, 1109, 4205, 775, 13, 25531, 264, 1948, 2883, 374, 264, 32961, 1606, 499, 1205, 279, 1862, 323, 31638, 814, 690, 3493, 13, 1442, 499, 1541, 1431, 636, 264, 1695, 2883, 11, 499, 1253, 8493, 4207, 14892, 449, 4819, 430, 499, 1541, 1431, 1205, 311, 387, 14892, 449, 627, 1489, 374, 3300, 323, 264, 1695, 20256, 2883, 690, 3665, 499, 892, 323, 3300, 555, 10209, 499, 264, 2294, 6462, 369, 264, 13579, 3430, 13, 2435, 690, 1101, 3493, 499, 449, 279, 5043, 323, 15062, 1862, 499, 1755, 15716, 499, 1205, 433, 13, 3161, 279, 1314, 2883, 323, 264, 6462, 2539, 315, 5505, 4519, 11, 499, 690, 387, 3025, 311, 2231, 709, 264, 3997, 477, 5117, 304, 912, 892, 627, 12834, 1063, 315, 603, 990, 505, 264, 9333, 8199, 1109, 1023, 11, 3794, 2294, 27862, 3566, 20256, 6787, 374, 1633, 3062, 13, 1472, 690, 617, 11709, 505, 279, 400, 17, 477, 400, 18, 2134, 824, 2305, 323, 709, 13, 578, 1888, 4623, 374, 311, 1817, 704, 264, 2478, 2204, 14519, 430, 5052, 1139, 701, 8199, 323, 636, 279, 832, 430, 690, 3493, 499, 449, 279, 4519, 499, 1205, 627, 38195, 9616, 264, 2478, 5220, 323, 14519, 1603, 499, 55190, 701, 5597, 13, 1115, 690, 6106, 430, 499, 636, 264, 1695, 5873, 369, 499, 20256, 323, 690, 2187, 499, 311, 7216, 704, 1148, 7041, 433, 374, 499, 1205, 13, 1442, 499, 1935, 701, 892, 323, 5268, 264, 1695, 2883, 11, 499, 649, 2216, 8935, 505, 27862, 3566, 20256, 6787, 627, 29755, 279, 1314, 2626, 3566, 20256, 3600, 649, 1304, 264, 2466, 6811, 304, 279, 22613, 499, 1304, 2930, 13, 9176, 2204, 2626, 20256, 11709, 527, 539, 682, 430, 1695, 369, 499, 11, 719, 279, 1314, 5873, 649, 1304, 264, 6811, 13, 2360, 1403, 9873, 527, 279, 1890, 323, 499, 1205, 311, 5268, 20256, 430, 18809, 279, 5016, 3966, 499, 617, 627, 86021, 374, 279, 16665, 315, 701, 3997, 477, 5117, 323, 994, 499, 5268, 832, 315, 279, 1695, 2626, 3566, 20256, 3600, 11, 499, 690, 1518, 279, 6811, 13, 1472, 617, 311, 1505, 279, 1314, 955, 315, 20256, 323, 279, 1314, 2883, 477, 499, 1253, 387, 6376, 6261, 709, 369, 8060, 13, 2684, 374, 539, 264, 7347, 3392, 315, 11709, 323, 499, 1205, 311, 1427, 1139, 279, 6305, 430, 527, 1888, 369, 499, 627, 43346, 2771, 499, 636, 279, 1314, 20256, 690, 3041, 499, 264, 16665, 430, 374, 1633, 3831, 13, 578, 2883, 2011, 1862, 701, 9045, 7373, 323, 499, 2011, 387, 3025, 311, 37455, 389, 701, 2447, 4619, 315, 40876, 922, 701, 20256, 13, 1115, 374, 279, 1401, 311, 3794, 1148, 499, 1205, 704, 315, 701, 3997, 477, 5117, 323, 499, 617, 311, 387, 3025, 311, 7216, 704, 1148, 499, 1205, 627, 791, 1176, 5873, 499, 690, 387, 17011, 449, 374, 3508, 499, 1390, 701, 20256, 389, 264, 14677, 3622, 477, 389, 264, 5632, 3622, 13, 1115, 690, 4018, 279, 20256, 1917, 304, 4376, 477, 520, 3325, 4018, 701, 2671, 1523, 264, 2766, 13, 4427, 5220, 3085, 2225, 11, 719, 3885, 26549, 1005, 3060, 14677, 16692, 477, 5632, 16692, 13, 9176, 10932, 14677, 369, 872, 2626, 3566, 20256, 3600, 627, 6153, 499, 1304, 420, 1176, 5597, 499, 2216, 617, 311, 7216, 704, 422, 6222, 20256, 11, 650, 5119, 20256, 11, 15161, 20256, 11, 477, 12514, 3622, 20256, 690, 387, 1314, 369, 701, 2626, 13, 1115, 374, 264, 1401, 5597, 323, 422, 499, 1541, 1431, 5268, 279, 1314, 955, 315, 20256, 499, 1253, 1120, 842, 709, 449, 20256, 430, 1587, 539, 1862, 499, 1633, 1664, 627, 791, 1401, 311, 3794, 279, 1314, 20256, 374, 27393, 2204, 14519, 3156, 499, 1505, 279, 1314, 832, 369, 499, 13, 1115, 3445, 499, 617, 311, 2231, 304, 264, 2766, 315, 990, 323, 656, 1063, 3495, 13, 578, 1695, 3754, 374, 430, 584, 617, 11102, 1523, 1475, 955, 315, 20256, 499, 649, 13085, 304, 264, 2478, 315, 1057, 1023, 8158, 13, 4314, 649, 1520, 499, 311, 636, 1148, 499, 1205, 627, 86021, 374, 264, 1633, 3062, 961, 315, 701, 2626, 323, 499, 1288, 1440, 430, 422, 499, 1051, 311, 5268, 6222, 20256, 11, 719, 4460, 5066, 4868, 323, 4519, 11, 323, 1243, 499, 2643, 539, 617, 279, 1314, 16665, 369, 279, 2930, 961, 315, 701, 2626, 13, 7557, 2771, 499, 2980, 701, 8199, 323, 279, 3966, 315, 701, 7224, 1603, 499, 5268, 279, 1314, 20256, 369, 499, 627, 2746, 499, 527, 264, 2678, 311, 11298, 30387, 2626, 323, 499, 4250, 10150, 264, 12514, 3622, 11, 584, 7079, 19301, 650, 5119, 20256, 3600, 13, 1115, 690, 3041, 499, 1690, 315, 279, 7720, 315, 12514, 20256, 2085, 279, 1579, 2853, 13, 9176, 9873, 649, 10150, 264, 650, 5119, 20256, 6462, 430, 690, 990, 369, 1124, 11, 719, 4250, 10150, 264, 3622, 369, 872, 20256, 627, 23025, 1120, 6041, 1022, 1288, 5268, 6222, 20256, 11, 1120, 311, 636, 459, 4623, 315, 1268, 20256, 4375, 323, 636, 264, 3997, 709, 13, 1442, 682, 499, 1205, 374, 264, 6913, 3997, 323, 5255, 5117, 369, 701, 2626, 11, 1243, 6222, 20256, 1253, 387, 279, 1314, 832, 315, 279, 2626, 3566, 20256, 3600, 369, 499, 13, 1115, 1436, 387, 264, 1695, 5597, 422, 499, 1541, 1431, 617, 1790, 311, 8493, 627, 791, 2626, 430, 374, 4560, 311, 2216, 1304, 3300, 2930, 323, 2216, 3966, 311, 617, 279, 1888, 706, 311, 636, 264, 12514, 3622, 369, 872, 20256, 13, 578, 9152, 20256, 6425, 374, 1888, 11, 439, 499, 690, 539, 617, 311, 3838, 279, 3622, 477, 18467, 459, 8871, 5687, 311, 3568, 449, 433, 369, 499, 13, 1115, 374, 279, 1888, 315, 682, 279, 2626, 3566, 20256, 3600, 627, 3923, 3169, 315, 3622, 35286, 2680, 656, 499, 3493, 30, 3234, 701, 6787, 2997, 41563, 11, 48650, 11, 323, 6654, 2599, 5380, 2460, 315, 1057, 9815, 2997, 41563, 11, 48650, 11, 323, 6654, 2599, 2532, 13, 5751, 1193, 20020, 374, 430, 369, 41563, 584, 1193, 2187, 34799, 301, 13539, 6933, 14564, 311, 4667, 13, 763, 2015, 311, 1005, 41563, 499, 690, 617, 311, 1893, 264, 1862, 11989, 449, 701, 6933, 323, 1243, 584, 649, 68827, 433, 311, 6106, 499, 649, 4667, 627, 128001, -100, 791, 38180, 8735, 19073, 11223, 502, 14640, 7950, 430, 9395, 311, 48863, 8108, 37647, 45612, 505, 6484, 323, 13945, 52714, 2410, 11012, 11, 36024, 279, 1176, 892, 279, 6918, 3109, 706, 22486, 12782, 40589, 20748, 505, 6484, 2410, 11012, 11, 902, 7068, 4056, 914, 4, 315, 549, 815, 13, 37647, 6962, 25793, 627, 791, 25027, 19721, 16784, 1071, 1202, 3197, 1053, 4018, 12782, 20748, 505, 11756, 11012, 323, 502, 6962, 11012, 555, 220, 21717, 44, 18767, 20181, 2391, 220, 2366, 23, 12, 2983, 11, 279, 13890, 315, 18189, 279, 9974, 20748, 315, 220, 10148, 44, 24023, 11731, 627, 791, 3197, 1053, 5457, 279, 4907, 323, 2410, 19647, 311, 6288, 4546, 709, 311, 5569, 12782, 12, 323, 61083, 1824, 2756, 1711, 5557, 430, 374, 2103, 304, 1202, 86617, 627, 37707, 12602, 11, 513, 593, 55681, 323, 5942, 5557, 5131, 374, 1511, 520, 1193, 264, 21030, 477, 779, 315, 279, 220, 18, 11, 3443, 11756, 323, 6962, 72678, 18200, 11012, 304, 279, 549, 815, 627, 64445, 682, 11756, 11012, 1389, 439, 1664, 439, 3544, 11, 14134, 1511, 6962, 72678, 2410, 11012, 1389, 1053, 387, 2631, 311, 4018, 477, 12602, 520, 3325, 220, 1954, 4, 315, 872, 12782, 40589, 20748, 555, 220, 9639, 23, 11, 323, 11012, 430, 4250, 3449, 279, 502, 10886, 1053, 387, 9770, 311, 16177, 627, 791, 27250, 1550, 539, 3493, 17989, 315, 1268, 1790, 433, 1053, 2853, 311, 4305, 279, 3197, 11, 719, 459, 6492, 555, 279, 9785, 6690, 5546, 11994, 1071, 25678, 1303, 264, 8518, 13230, 220, 3101, 45582, 5933, 6962, 6136, 449, 12782, 12602, 1053, 2853, 264, 15919, 400, 17662, 44, 323, 2853, 264, 4528, 7321, 11756, 6136, 4056, 3, 5067, 44, 627, 644, 459, 5149, 311, 5766, 279, 25382, 315, 279, 7250, 52443, 9785, 7572, 9878, 1389, 279, 13814, 7301, 21989, 304, 220, 2366, 17, 430, 279, 27250, 1047, 927, 5455, 7069, 1202, 23331, 11447, 1389, 279, 502, 38180, 3197, 7612, 47311, 315, 37647, 45612, 4871, 2410, 11012, 1418, 7231, 4907, 30519, 810, 25152, 927, 1268, 311, 11322, 20748, 11811, 627, 34141, 420, 2305, 11, 279, 549, 815, 13, 15660, 40704, 39297, 502, 11223, 5718, 20034, 520, 18189, 61083, 37796, 505, 279, 3224, 753, 4009, 315, 220, 17, 13, 22, 44, 8931, 315, 5933, 6962, 58773, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 2746, 499, 617, 311, 3708, 704, 459, 36045, 1203, 311, 279, 23703, 11, 2684, 527, 1690, 1023, 5627, 315, 19546, 279, 2027, 1578, 311, 1124, 13, 10699, 21935, 279, 3430, 315, 471, 11862, 323, 9889, 690, 6904, 389, 3249, 499, 3207, 13758, 433, 11, 323, 279, 21390, 753, 471, 3197, 627, 13622, 356, 937, 753, 527, 2133, 311, 6900, 499, 369, 1475, 4299, 389, 14656, 477, 369, 1855, 1957, 13, 3161, 2343, 704, 17453, 1355, 318, 2603, 4299, 11, 37249, 2343, 1203, 264, 743, 11307, 477, 14435, 1475, 892, 430, 264, 3284, 94303, 28849, 389, 430, 2532, 9287, 596, 1203, 2125, 627, 644, 420, 4040, 13643, 8641, 2239, 11, 584, 4805, 7664, 1148, 12593, 12096, 21787, 527, 11, 3371, 499, 922, 1690, 315, 279, 1888, 15771, 9076, 11, 323, 3493, 499, 449, 5627, 311, 636, 701, 11822, 33740, 627, 791, 12689, 85619, 1219, 57320, 38211, 2643, 1520, 5813, 279, 3318, 60243, 479, 315, 4279, 3977, 15798, 59977, 2585, 21126, 555, 13598, 279, 11509, 315, 279, 198, 2520, 85243, 42870, 11, 12593, 23395, 21787, 527, 264, 13336, 311, 2231, 701, 3673, 1603, 9193, 8173, 13723, 13, 4314, 527, 8965, 539, 1274, 2840, 9151, 304, 264, 4200, 91828, 1120, 1093, 264, 3321, 94303, 369, 279, 34353, 627, 29923, 311, 2567, 433, 4382, 30, 9934, 1450, 4476, 32596, 449, 4205, 499, 1253, 1205, 304, 832, 31439, 2231, 13, 4418, 1431, 10894, 922, 264, 4382, 30090, 17401, 323, 11, 994, 7718, 11, 5066, 34940, 4633, 660, 30090, 7526, 13, 1226, 4668, 31552, 17401, 6299, 439, 1664, 439, 1023, 57042, 16097, 11, 439, 1664, 439, 1652, 59935, 11, 6138, 30090, 23529, 323, 1101, 21120, 30090, 7526, 13, 25011, 701, 7526, 3235, 449, 499, 71828, 499, 3207, 389, 279, 733, 30, 34785, 12027, 24794, 527, 578, 6425, 13, 9372, 520, 1057, 21246, 2410, 14227, 53792, 4522, 60545, 369, 1520, 304, 19301, 279, 1888, 4476, 304, 701, 1162, 627, 2181, 374, 3284, 311, 9299, 389, 8614, 555, 17136, 323, 13353, 505, 279, 7458, 5621, 943, 6425, 4871, 279, 8323, 323, 34631, 3158, 13, 12362, 420, 955, 315, 6425, 11, 701, 16250, 690, 40076, 33663, 9843, 701, 9861, 16250, 892, 374, 709, 627, 7927, 1888, 2671, 369, 25607, 3508, 477, 539, 8184, 63410, 489, 19721, 374, 1888, 369, 499, 527, 311, 1212, 264, 11112, 1949, 17074, 315, 701, 469, 20, 89585, 11, 477, 8666, 449, 430, 706, 264, 6763, 24687, 311, 4048, 810, 922, 1268, 469, 18, 477, 469, 20, 649, 3449, 701, 19882, 627, 4959, 14645, 7945, 505, 279, 5915, 315, 6677, 4814, 27344, 323, 779, 527, 58535, 13, 35219, 8245, 323, 13363, 8398, 690, 1520, 15803, 430, 828, 499, 3621, 311, 387, 21760, 389, 374, 538, 291, 11, 61336, 11, 323, 64263, 3196, 5304, 20790, 3630, 17959, 627, 13622, 356, 937, 596, 1650, 369, 30282, 311, 1772, 264, 24001, 2027, 477, 2532, 5510, 13, 1115, 5510, 2011, 3449, 709, 449, 264, 356, 937, 39817, 26185, 323, 1253, 387, 6177, 15870, 13, 578, 356, 937, 5829, 20070, 311, 4820, 323, 89372, 279, 828, 505, 279, 5510, 11, 87719, 279, 5343, 2038, 389, 6372, 6959, 439, 22281, 627, 791, 1695, 3754, 374, 11, 4740, 602, 5376, 709, 1148, 358, 7318, 369, 4205, 33740, 1314, 1618, 279, 2539, 574, 3770, 400, 966, 13, 3011, 753, 2216, 264, 3568, 449, 279, 16595, 2361, 1521, 7526, 690, 1514, 4871, 701, 734, 627, 2675, 1253, 471, 459, 20604, 323, 653, 50673, 13189, 304, 1202, 5016, 24066, 13, 2057, 471, 264, 961, 11, 3810, 701, 636, 2134, 14, 60729, 8767, 9932, 323, 6920, 389, 304, 279, 471, 1887, 311, 21953, 264, 3494, 31662, 3392, 13, 1226, 2011, 636, 279, 6052, 13651, 1161, 8, 12362, 279, 3494, 31662, 1396, 4871, 220, 12676, 3115, 2949, 701, 2926, 3780, 2457, 627, 2746, 499, 3077, 9124, 264, 296, 16164, 66, 2987, 994, 49500, 389, 459, 2027, 11, 499, 1436, 73300, 701, 14435, 304, 5300, 15082, 627, 2028, 3851, 374, 539, 11622, 15987, 311, 3932, 6832, 33957, 2646, 19351, 477, 617, 96106, 2277, 7127, 61572, 320, 34758, 8, 8552, 13, 1789, 264, 3117, 810, 54767, 13123, 20705, 420, 3241, 11, 499, 1288, 1520, 15533, 449, 701, 7074, 323, 10625, 279, 45710, 13, 6984, 311, 1948, 22359, 198, 25056, 198, 3198, 12170, 198, 12, 220, 3534, 69940, 128001, 128000, 13246, 11990, 315, 1274, 11, 358, 5266, 704, 856, 16520, 32742, 1855, 1060, 13, 358, 4344, 14470, 42066, 922, 7926, 19794, 11, 3686, 358, 617, 2646, 2834, 264, 16520, 7463, 13, 763, 2144, 11, 358, 4070, 4661, 2728, 709, 23132, 2294, 3135, 11, 1606, 358, 4344, 22954, 430, 52997, 279, 26526, 315, 220, 3080, 7926, 19794, 3953, 374, 264, 38586, 315, 3987, 927, 3217, 13, 763, 430, 5363, 11, 433, 753, 264, 2763, 1093, 21816, 11230, 23301, 627, 12389, 499, 3596, 14000, 430, 11909, 1093, 23373, 29560, 1604, 323, 423, 4601, 98615, 527, 912, 810, 76588, 520, 21816, 279, 26526, 304, 279, 34260, 16520, 1109, 279, 7556, 14971, 389, 73359, 527, 520, 21816, 279, 1888, 23301, 30, 2684, 527, 1120, 2288, 1690, 7482, 311, 18057, 3060, 449, 904, 29237, 13, 1952, 5578, 11, 584, 1440, 430, 279, 5190, 90916, 7411, 320, 16241, 7411, 8, 690, 656, 2731, 1109, 279, 4827, 19595, 320, 906, 4506, 7411, 705, 719, 1070, 690, 2744, 387, 7411, 1093, 9784, 28131, 16377, 430, 6958, 279, 20441, 23268, 11, 21444, 287, 40029, 304, 279, 1920, 13, 10541, 5663, 396, 35251, 11, 279, 779, 19434, 19794, 11909, 1541, 1431, 656, 904, 2731, 1109, 279, 5578, 7564, 389, 279, 8761, 627, 56962, 311, 9567, 279, 5708, 3157, 374, 1120, 439, 85627, 1606, 5708, 7729, 1833, 1148, 753, 3967, 439, 264, 4288, 4321, 11, 304, 430, 14392, 3766, 3430, 19567, 2834, 1431, 1520, 499, 7168, 279, 3938, 3135, 13, 8245, 374, 34000, 52299, 779, 30820, 11, 430, 433, 753, 4661, 12266, 311, 8895, 264, 15022, 6964, 927, 1023, 15167, 13, 1472, 4070, 4762, 6755, 922, 279, 99425, 99066, 27242, 279, 11909, 555, 21939, 294, 7183, 311, 3373, 23301, 13, 1115, 374, 539, 2288, 3117, 2269, 37880, 11, 439, 28979, 22214, 10736, 21356, 8983, 1003, 22815, 21110, 3359, 27848, 10736, 927, 904, 11838, 4261, 315, 892, 627, 55611, 304, 701, 16520, 7463, 690, 6667, 279, 1176, 2035, 22643, 323, 387, 64895, 439, 264, 19794, 60526, 13, 7570, 779, 11, 1120, 1093, 279, 7091, 6917, 3887, 20258, 505, 279, 220, 2550, 15, 753, 11, 433, 753, 4461, 311, 387, 264, 2204, 1732, 520, 279, 1948, 1855, 1060, 13, 8766, 17472, 315, 279, 7765, 70, 29927, 5273, 17236, 13492, 6244, 459, 4788, 27242, 279, 328, 43945, 220, 2636, 8167, 369, 220, 868, 24871, 1667, 13696, 304, 220, 1049, 20, 13, 1115, 29746, 1690, 1274, 311, 5895, 1268, 1790, 315, 813, 5178, 574, 15369, 323, 1268, 1790, 574, 10151, 13, 578, 3488, 574, 19089, 11, 520, 3325, 304, 856, 4059, 11, 994, 17472, 753, 3887, 1234, 17453, 10365, 304, 4330, 315, 279, 1828, 4848, 1667, 9564, 1461, 3221, 279, 1633, 5740, 315, 813, 14734, 1912, 2391, 430, 892, 627, 2409, 9214, 315, 27848, 10736, 11, 1063, 15167, 690, 617, 264, 4106, 30314, 11, 1120, 1093, 279, 7564, 304, 279, 5274, 1828, 6134, 889, 15160, 279, 16520, 7463, 555, 21816, 279, 78430, 6985, 2128, 430, 11084, 311, 279, 13321, 13625, 627, 2746, 499, 1390, 311, 1518, 701, 836, 3221, 279, 1948, 315, 279, 5274, 7463, 11, 264, 1695, 8446, 1053, 387, 311, 3373, 279, 8592, 7962, 31035, 7411, 4028, 279, 4580, 13, 578, 52497, 374, 430, 420, 5603, 1101, 36755, 430, 499, 2834, 1431, 4363, 304, 1176, 2035, 13, 10836, 23851, 690, 38048, 1304, 4423, 775, 279, 18824, 1389, 11000, 4423, 889, 1903, 872, 22657, 3196, 389, 279, 74534, 44036, 2469, 627, 68791, 11, 422, 499, 1390, 264, 2771, 57369, 1648, 311, 9567, 1455, 1023, 15167, 11, 1120, 1005, 1963, 27848, 10736, 13, 1472, 4762, 2834, 1431, 387, 279, 1948, 9341, 49254, 304, 904, 2728, 4261, 11, 719, 499, 690, 2646, 387, 2288, 3117, 505, 279, 1948, 13, 4212, 323, 1578, 1963, 10736, 7380, 2380, 323, 3116, 21337, 18594, 505, 29084, 12134, 11, 3686, 19029, 636, 279, 1948, 4330, 21337, 10959, 13, 4497, 23659, 11, 814, 527, 19029, 22034, 4205, 2753, 1109, 2380, 9958, 13, 3161, 26012, 1070, 374, 539, 1120, 832, 13946, 13, 7440, 380, 4501, 3831, 5178, 11767, 311, 28040, 1317, 9860, 20192, 11, 902, 3727, 1701, 1963, 10736, 264, 2294, 8446, 627, 1688, 7364, 3520, 892, 11, 84905, 315, 279, 7564, 889, 95135, 810, 1109, 832, 32742, 323, 1437, 2076, 922, 813, 1206, 1334, 80897, 519, 22657, 13, 5907, 287, 2225, 46134, 323, 27453, 311, 3243, 279, 52257, 26361, 2834, 1431, 3243, 904, 23146, 369, 29191, 11, 719, 433, 690, 19407, 5376, 279, 6140, 315, 1694, 4495, 13, 1102, 753, 3460, 315, 1093, 279, 27848, 3887, 5220, 889, 15320, 7195, 502, 27848, 10736, 13, 1442, 832, 5334, 4106, 320, 72, 1770, 13, 18069, 8, 279, 2883, 649, 59227, 922, 1202, 5178, 323, 6917, 10959, 369, 279, 1828, 2478, 1667, 323, 4774, 264, 18197, 315, 502, 19564, 505, 15167, 13, 4452, 11, 422, 279, 502, 3887, 39885, 704, 11, 433, 690, 1120, 3345, 477, 11117, 449, 2500, 3887, 13, 4702, 1093, 279, 7564, 449, 264, 77490, 16520, 32742, 11, 433, 690, 2646, 387, 6755, 505, 1578, 627, 37, 44050, 430, 617, 48135, 1541, 1431, 5101, 304, 1455, 7978, 430, 9616, 22815, 21110, 3359, 10736, 311, 1963, 10736, 11, 13239, 304, 264, 1054, 20370, 85, 50775, 5383, 15837, 11453, 1115, 3445, 430, 422, 8036, 10736, 1051, 5343, 304, 279, 7978, 11, 1963, 10736, 1053, 1427, 1524, 2731, 555, 12593, 13, 1442, 358, 574, 11734, 369, 264, 1938, 11, 358, 1053, 539, 2187, 810, 1109, 832, 34260, 32742, 824, 1732, 11, 323, 358, 1053, 539, 2187, 27848, 10736, 311, 57794, 922, 1695, 3135, 11, 7389, 814, 1051, 17427, 927, 5899, 1667, 477, 810, 627, 35075, 23837, 617, 264, 1396, 315, 24064, 17910, 430, 1304, 79482, 17436, 1389, 3508, 449, 19794, 3953, 477, 5708, 3135, 13, 763, 5369, 311, 264, 31954, 9017, 927, 83029, 11, 584, 1518, 12912, 304, 828, 994, 7000, 2216, 3073, 13, 7570, 422, 264, 5497, 706, 1063, 32939, 11, 433, 2643, 387, 2875, 62954, 13, 1789, 1690, 1667, 37643, 11054, 279, 6186, 13756, 27401, 430, 23301, 1550, 2731, 304, 6186, 1109, 1023, 4038, 11, 5423, 2678, 2107, 23301, 13, 1115, 25885, 2643, 617, 1027, 1972, 520, 832, 892, 11, 719, 433, 753, 539, 4461, 311, 1304, 15167, 1790, 3300, 1457, 439, 11987, 7652, 311, 1778, 75559, 13, 578, 4483, 88798, 10533, 3629, 709, 5022, 279, 18172, 7962, 291, 304, 279, 6295, 30704, 11, 719, 358, 1440, 430, 422, 358, 1304, 856, 32742, 38499, 3196, 389, 3347, 2038, 11, 433, 690, 22225, 387, 279, 1060, 449, 2478, 709, 5022, 627, 7184, 430, 358, 4070, 26968, 279, 1176, 9178, 315, 5587, 71428, 323, 856, 32742, 706, 539, 12756, 11866, 6879, 3686, 11, 358, 2733, 5128, 1695, 922, 856, 22657, 13, 358, 1390, 311, 36015, 499, 11, 3582, 11, 430, 422, 358, 1288, 3243, 856, 32742, 11, 499, 2834, 1431, 6865, 757, 57794, 3252, 922, 433, 1131, 9336, 11, 7344, 1120, 264, 2697, 13, 128001 ]
[ -100, 2746, 499, 617, 311, 3708, 704, 459, 36045, 1203, 311, 279, 23703, 11, 2684, 527, 1690, 1023, 5627, 315, 19546, 279, 2027, 1578, 311, 1124, 13, 10699, 21935, 279, 3430, 315, 471, 11862, 323, 9889, 690, 6904, 389, 3249, 499, 3207, 13758, 433, 11, 323, 279, 21390, 753, 471, 3197, 627, 13622, 356, 937, 753, 527, 2133, 311, 6900, 499, 369, 1475, 4299, 389, 14656, 477, 369, 1855, 1957, 13, 3161, 2343, 704, 17453, 1355, 318, 2603, 4299, 11, 37249, 2343, 1203, 264, 743, 11307, 477, 14435, 1475, 892, 430, 264, 3284, 94303, 28849, 389, 430, 2532, 9287, 596, 1203, 2125, 627, 644, 420, 4040, 13643, 8641, 2239, 11, 584, 4805, 7664, 1148, 12593, 12096, 21787, 527, 11, 3371, 499, 922, 1690, 315, 279, 1888, 15771, 9076, 11, 323, 3493, 499, 449, 5627, 311, 636, 701, 11822, 33740, 627, 791, 12689, 85619, 1219, 57320, 38211, 2643, 1520, 5813, 279, 3318, 60243, 479, 315, 4279, 3977, 15798, 59977, 2585, 21126, 555, 13598, 279, 11509, 315, 279, 198, 2520, 85243, 42870, 11, 12593, 23395, 21787, 527, 264, 13336, 311, 2231, 701, 3673, 1603, 9193, 8173, 13723, 13, 4314, 527, 8965, 539, 1274, 2840, 9151, 304, 264, 4200, 91828, 1120, 1093, 264, 3321, 94303, 369, 279, 34353, 627, 29923, 311, 2567, 433, 4382, 30, 9934, 1450, 4476, 32596, 449, 4205, 499, 1253, 1205, 304, 832, 31439, 2231, 13, 4418, 1431, 10894, 922, 264, 4382, 30090, 17401, 323, 11, 994, 7718, 11, 5066, 34940, 4633, 660, 30090, 7526, 13, 1226, 4668, 31552, 17401, 6299, 439, 1664, 439, 1023, 57042, 16097, 11, 439, 1664, 439, 1652, 59935, 11, 6138, 30090, 23529, 323, 1101, 21120, 30090, 7526, 13, 25011, 701, 7526, 3235, 449, 499, 71828, 499, 3207, 389, 279, 733, 30, 34785, 12027, 24794, 527, 578, 6425, 13, 9372, 520, 1057, 21246, 2410, 14227, 53792, 4522, 60545, 369, 1520, 304, 19301, 279, 1888, 4476, 304, 701, 1162, 627, 2181, 374, 3284, 311, 9299, 389, 8614, 555, 17136, 323, 13353, 505, 279, 7458, 5621, 943, 6425, 4871, 279, 8323, 323, 34631, 3158, 13, 12362, 420, 955, 315, 6425, 11, 701, 16250, 690, 40076, 33663, 9843, 701, 9861, 16250, 892, 374, 709, 627, 7927, 1888, 2671, 369, 25607, 3508, 477, 539, 8184, 63410, 489, 19721, 374, 1888, 369, 499, 527, 311, 1212, 264, 11112, 1949, 17074, 315, 701, 469, 20, 89585, 11, 477, 8666, 449, 430, 706, 264, 6763, 24687, 311, 4048, 810, 922, 1268, 469, 18, 477, 469, 20, 649, 3449, 701, 19882, 627, 4959, 14645, 7945, 505, 279, 5915, 315, 6677, 4814, 27344, 323, 779, 527, 58535, 13, 35219, 8245, 323, 13363, 8398, 690, 1520, 15803, 430, 828, 499, 3621, 311, 387, 21760, 389, 374, 538, 291, 11, 61336, 11, 323, 64263, 3196, 5304, 20790, 3630, 17959, 627, 13622, 356, 937, 596, 1650, 369, 30282, 311, 1772, 264, 24001, 2027, 477, 2532, 5510, 13, 1115, 5510, 2011, 3449, 709, 449, 264, 356, 937, 39817, 26185, 323, 1253, 387, 6177, 15870, 13, 578, 356, 937, 5829, 20070, 311, 4820, 323, 89372, 279, 828, 505, 279, 5510, 11, 87719, 279, 5343, 2038, 389, 6372, 6959, 439, 22281, 627, 791, 1695, 3754, 374, 11, 4740, 602, 5376, 709, 1148, 358, 7318, 369, 4205, 33740, 1314, 1618, 279, 2539, 574, 3770, 400, 966, 13, 3011, 753, 2216, 264, 3568, 449, 279, 16595, 2361, 1521, 7526, 690, 1514, 4871, 701, 734, 627, 2675, 1253, 471, 459, 20604, 323, 653, 50673, 13189, 304, 1202, 5016, 24066, 13, 2057, 471, 264, 961, 11, 3810, 701, 636, 2134, 14, 60729, 8767, 9932, 323, 6920, 389, 304, 279, 471, 1887, 311, 21953, 264, 3494, 31662, 3392, 13, 1226, 2011, 636, 279, 6052, 13651, 1161, 8, 12362, 279, 3494, 31662, 1396, 4871, 220, 12676, 3115, 2949, 701, 2926, 3780, 2457, 627, 2746, 499, 3077, 9124, 264, 296, 16164, 66, 2987, 994, 49500, 389, 459, 2027, 11, 499, 1436, 73300, 701, 14435, 304, 5300, 15082, 627, 2028, 3851, 374, 539, 11622, 15987, 311, 3932, 6832, 33957, 2646, 19351, 477, 617, 96106, 2277, 7127, 61572, 320, 34758, 8, 8552, 13, 1789, 264, 3117, 810, 54767, 13123, 20705, 420, 3241, 11, 499, 1288, 1520, 15533, 449, 701, 7074, 323, 10625, 279, 45710, 13, 6984, 311, 1948, 22359, 198, 25056, 198, 3198, 12170, 198, 12, 220, 3534, 69940, 128001, -100, 13246, 11990, 315, 1274, 11, 358, 5266, 704, 856, 16520, 32742, 1855, 1060, 13, 358, 4344, 14470, 42066, 922, 7926, 19794, 11, 3686, 358, 617, 2646, 2834, 264, 16520, 7463, 13, 763, 2144, 11, 358, 4070, 4661, 2728, 709, 23132, 2294, 3135, 11, 1606, 358, 4344, 22954, 430, 52997, 279, 26526, 315, 220, 3080, 7926, 19794, 3953, 374, 264, 38586, 315, 3987, 927, 3217, 13, 763, 430, 5363, 11, 433, 753, 264, 2763, 1093, 21816, 11230, 23301, 627, 12389, 499, 3596, 14000, 430, 11909, 1093, 23373, 29560, 1604, 323, 423, 4601, 98615, 527, 912, 810, 76588, 520, 21816, 279, 26526, 304, 279, 34260, 16520, 1109, 279, 7556, 14971, 389, 73359, 527, 520, 21816, 279, 1888, 23301, 30, 2684, 527, 1120, 2288, 1690, 7482, 311, 18057, 3060, 449, 904, 29237, 13, 1952, 5578, 11, 584, 1440, 430, 279, 5190, 90916, 7411, 320, 16241, 7411, 8, 690, 656, 2731, 1109, 279, 4827, 19595, 320, 906, 4506, 7411, 705, 719, 1070, 690, 2744, 387, 7411, 1093, 9784, 28131, 16377, 430, 6958, 279, 20441, 23268, 11, 21444, 287, 40029, 304, 279, 1920, 13, 10541, 5663, 396, 35251, 11, 279, 779, 19434, 19794, 11909, 1541, 1431, 656, 904, 2731, 1109, 279, 5578, 7564, 389, 279, 8761, 627, 56962, 311, 9567, 279, 5708, 3157, 374, 1120, 439, 85627, 1606, 5708, 7729, 1833, 1148, 753, 3967, 439, 264, 4288, 4321, 11, 304, 430, 14392, 3766, 3430, 19567, 2834, 1431, 1520, 499, 7168, 279, 3938, 3135, 13, 8245, 374, 34000, 52299, 779, 30820, 11, 430, 433, 753, 4661, 12266, 311, 8895, 264, 15022, 6964, 927, 1023, 15167, 13, 1472, 4070, 4762, 6755, 922, 279, 99425, 99066, 27242, 279, 11909, 555, 21939, 294, 7183, 311, 3373, 23301, 13, 1115, 374, 539, 2288, 3117, 2269, 37880, 11, 439, 28979, 22214, 10736, 21356, 8983, 1003, 22815, 21110, 3359, 27848, 10736, 927, 904, 11838, 4261, 315, 892, 627, 55611, 304, 701, 16520, 7463, 690, 6667, 279, 1176, 2035, 22643, 323, 387, 64895, 439, 264, 19794, 60526, 13, 7570, 779, 11, 1120, 1093, 279, 7091, 6917, 3887, 20258, 505, 279, 220, 2550, 15, 753, 11, 433, 753, 4461, 311, 387, 264, 2204, 1732, 520, 279, 1948, 1855, 1060, 13, 8766, 17472, 315, 279, 7765, 70, 29927, 5273, 17236, 13492, 6244, 459, 4788, 27242, 279, 328, 43945, 220, 2636, 8167, 369, 220, 868, 24871, 1667, 13696, 304, 220, 1049, 20, 13, 1115, 29746, 1690, 1274, 311, 5895, 1268, 1790, 315, 813, 5178, 574, 15369, 323, 1268, 1790, 574, 10151, 13, 578, 3488, 574, 19089, 11, 520, 3325, 304, 856, 4059, 11, 994, 17472, 753, 3887, 1234, 17453, 10365, 304, 4330, 315, 279, 1828, 4848, 1667, 9564, 1461, 3221, 279, 1633, 5740, 315, 813, 14734, 1912, 2391, 430, 892, 627, 2409, 9214, 315, 27848, 10736, 11, 1063, 15167, 690, 617, 264, 4106, 30314, 11, 1120, 1093, 279, 7564, 304, 279, 5274, 1828, 6134, 889, 15160, 279, 16520, 7463, 555, 21816, 279, 78430, 6985, 2128, 430, 11084, 311, 279, 13321, 13625, 627, 2746, 499, 1390, 311, 1518, 701, 836, 3221, 279, 1948, 315, 279, 5274, 7463, 11, 264, 1695, 8446, 1053, 387, 311, 3373, 279, 8592, 7962, 31035, 7411, 4028, 279, 4580, 13, 578, 52497, 374, 430, 420, 5603, 1101, 36755, 430, 499, 2834, 1431, 4363, 304, 1176, 2035, 13, 10836, 23851, 690, 38048, 1304, 4423, 775, 279, 18824, 1389, 11000, 4423, 889, 1903, 872, 22657, 3196, 389, 279, 74534, 44036, 2469, 627, 68791, 11, 422, 499, 1390, 264, 2771, 57369, 1648, 311, 9567, 1455, 1023, 15167, 11, 1120, 1005, 1963, 27848, 10736, 13, 1472, 4762, 2834, 1431, 387, 279, 1948, 9341, 49254, 304, 904, 2728, 4261, 11, 719, 499, 690, 2646, 387, 2288, 3117, 505, 279, 1948, 13, 4212, 323, 1578, 1963, 10736, 7380, 2380, 323, 3116, 21337, 18594, 505, 29084, 12134, 11, 3686, 19029, 636, 279, 1948, 4330, 21337, 10959, 13, 4497, 23659, 11, 814, 527, 19029, 22034, 4205, 2753, 1109, 2380, 9958, 13, 3161, 26012, 1070, 374, 539, 1120, 832, 13946, 13, 7440, 380, 4501, 3831, 5178, 11767, 311, 28040, 1317, 9860, 20192, 11, 902, 3727, 1701, 1963, 10736, 264, 2294, 8446, 627, 1688, 7364, 3520, 892, 11, 84905, 315, 279, 7564, 889, 95135, 810, 1109, 832, 32742, 323, 1437, 2076, 922, 813, 1206, 1334, 80897, 519, 22657, 13, 5907, 287, 2225, 46134, 323, 27453, 311, 3243, 279, 52257, 26361, 2834, 1431, 3243, 904, 23146, 369, 29191, 11, 719, 433, 690, 19407, 5376, 279, 6140, 315, 1694, 4495, 13, 1102, 753, 3460, 315, 1093, 279, 27848, 3887, 5220, 889, 15320, 7195, 502, 27848, 10736, 13, 1442, 832, 5334, 4106, 320, 72, 1770, 13, 18069, 8, 279, 2883, 649, 59227, 922, 1202, 5178, 323, 6917, 10959, 369, 279, 1828, 2478, 1667, 323, 4774, 264, 18197, 315, 502, 19564, 505, 15167, 13, 4452, 11, 422, 279, 502, 3887, 39885, 704, 11, 433, 690, 1120, 3345, 477, 11117, 449, 2500, 3887, 13, 4702, 1093, 279, 7564, 449, 264, 77490, 16520, 32742, 11, 433, 690, 2646, 387, 6755, 505, 1578, 627, 37, 44050, 430, 617, 48135, 1541, 1431, 5101, 304, 1455, 7978, 430, 9616, 22815, 21110, 3359, 10736, 311, 1963, 10736, 11, 13239, 304, 264, 1054, 20370, 85, 50775, 5383, 15837, 11453, 1115, 3445, 430, 422, 8036, 10736, 1051, 5343, 304, 279, 7978, 11, 1963, 10736, 1053, 1427, 1524, 2731, 555, 12593, 13, 1442, 358, 574, 11734, 369, 264, 1938, 11, 358, 1053, 539, 2187, 810, 1109, 832, 34260, 32742, 824, 1732, 11, 323, 358, 1053, 539, 2187, 27848, 10736, 311, 57794, 922, 1695, 3135, 11, 7389, 814, 1051, 17427, 927, 5899, 1667, 477, 810, 627, 35075, 23837, 617, 264, 1396, 315, 24064, 17910, 430, 1304, 79482, 17436, 1389, 3508, 449, 19794, 3953, 477, 5708, 3135, 13, 763, 5369, 311, 264, 31954, 9017, 927, 83029, 11, 584, 1518, 12912, 304, 828, 994, 7000, 2216, 3073, 13, 7570, 422, 264, 5497, 706, 1063, 32939, 11, 433, 2643, 387, 2875, 62954, 13, 1789, 1690, 1667, 37643, 11054, 279, 6186, 13756, 27401, 430, 23301, 1550, 2731, 304, 6186, 1109, 1023, 4038, 11, 5423, 2678, 2107, 23301, 13, 1115, 25885, 2643, 617, 1027, 1972, 520, 832, 892, 11, 719, 433, 753, 539, 4461, 311, 1304, 15167, 1790, 3300, 1457, 439, 11987, 7652, 311, 1778, 75559, 13, 578, 4483, 88798, 10533, 3629, 709, 5022, 279, 18172, 7962, 291, 304, 279, 6295, 30704, 11, 719, 358, 1440, 430, 422, 358, 1304, 856, 32742, 38499, 3196, 389, 3347, 2038, 11, 433, 690, 22225, 387, 279, 1060, 449, 2478, 709, 5022, 627, 7184, 430, 358, 4070, 26968, 279, 1176, 9178, 315, 5587, 71428, 323, 856, 32742, 706, 539, 12756, 11866, 6879, 3686, 11, 358, 2733, 5128, 1695, 922, 856, 22657, 13, 358, 1390, 311, 36015, 499, 11, 3582, 11, 430, 422, 358, 1288, 3243, 856, 32742, 11, 499, 2834, 1431, 6865, 757, 57794, 3252, 922, 433, 1131, 9336, 11, 7344, 1120, 264, 2697, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 72326, 617, 1027, 3318, 389, 4211, 315, 11841, 18488, 2533, 1603, 584, 7020, 506, 94560, 1441, 25281, 13, 4314, 4211, 1051, 13517, 33687, 555, 279, 6012, 315, 279, 33975, 304, 1057, 13238, 1887, 11, 323, 617, 1027, 6982, 311, 387, 49723, 1695, 520, 24043, 369, 506, 94560, 1441, 430, 617, 912, 13890, 304, 1057, 13238, 1887, 11, 1778, 439, 279, 2307, 13737, 277, 17323, 323, 4106, 4275, 418, 8699, 13, 2758, 311, 420, 279, 33975, 529, 5845, 311, 3351, 9523, 311, 71019, 22639, 11, 323, 279, 6012, 315, 506, 94560, 1441, 649, 6118, 387, 4529, 1139, 2759, 627, 15724, 11, 264, 3544, 6625, 2128, 315, 12074, 48782, 279, 18841, 315, 2555, 430, 1057, 4211, 4250, 10552, 13, 1102, 374, 922, 279, 1404, 315, 80724, 11, 719, 3116, 3115, 8294, 13, 11699, 17915, 1389, 1790, 5190, 1109, 430, 315, 11245, 1389, 374, 13263, 449, 279, 4553, 11841, 1694, 4661, 11622, 6573, 477, 3515, 459, 18435, 5655, 3403, 311, 1207, 19590, 4553, 33975, 13, 6104, 279, 1274, 889, 11352, 433, 3085, 1403, 26018, 369, 1202, 18488, 11, 14188, 374, 8104, 4461, 627, 791, 4007, 315, 279, 502, 11841, 6137, 439, 1690, 656, 1457, 25, 433, 574, 11054, 439, 459, 1665, 315, 2802, 555, 279, 4149, 5977, 1398, 94560, 295, 24507, 320, 5319, 40, 11, 369, 350, 10201, 3075, 315, 25074, 8, 24088, 13, 5257, 40, 12, 9741, 18, 374, 264, 6917, 14738, 9333, 1109, 1057, 8219, 11, 449, 264, 3148, 315, 922, 220, 15, 13, 23, 3115, 13, 2684, 1051, 2867, 12195, 315, 279, 14209, 315, 264, 11841, 3345, 311, 279, 6917, 11, 1457, 2663, 5257, 40, 12, 9741, 18, 293, 13, 578, 11841, 86228, 3345, 311, 1202, 3552, 6917, 11, 27666, 264, 2539, 27605, 304, 220, 16, 13, 1187, 2919, 627, 791, 12074, 1511, 430, 892, 311, 8417, 279, 6138, 520, 902, 279, 11841, 90159, 13, 20817, 389, 264, 10824, 315, 430, 6138, 11, 279, 1404, 315, 279, 6917, 11, 323, 279, 3392, 315, 3177, 19857, 555, 279, 11841, 11, 433, 374, 3284, 311, 16430, 279, 1404, 315, 279, 11841, 13, 1115, 10800, 704, 311, 387, 922, 220, 18, 13, 20, 3115, 279, 10801, 315, 9420, 11, 902, 3445, 433, 374, 10284, 9333, 1109, 80724, 627, 2028, 304, 5196, 374, 539, 19018, 13, 9176, 80724, 28935, 33975, 617, 1027, 11352, 13, 2030, 279, 10824, 315, 1404, 323, 37843, 311, 279, 6917, 374, 16907, 13, 1628, 433, 7634, 433, 304, 279, 779, 19434, 1054, 10847, 80724, 24521, 2476, 1405, 19428, 25407, 505, 279, 6917, 44727, 505, 279, 11841, 753, 16975, 13, 4275, 418, 8699, 430, 5662, 279, 4106, 24521, 1614, 842, 709, 37779, 315, 872, 56617, 6332, 11, 3339, 1124, 264, 2307, 13737, 47601, 627, 4516, 1148, 574, 5257, 40, 12, 9741, 18, 293, 3815, 304, 279, 24521, 30, 2057, 1505, 704, 11, 279, 12074, 1511, 5015, 6108, 9466, 38270, 311, 3839, 279, 11633, 315, 1202, 3552, 6917, 439, 5257, 40, 12, 9741, 18, 293, 753, 71019, 6958, 5614, 439, 433, 7882, 1555, 1202, 27605, 13, 578, 31903, 315, 279, 6917, 753, 11633, 4245, 311, 420, 11161, 649, 387, 1511, 311, 16430, 279, 11841, 753, 3148, 627, 2181, 10800, 704, 430, 5257, 40, 12, 9741, 18, 293, 706, 264, 2763, 505, 279, 2565, 13, 11699, 3148, 374, 13240, 520, 220, 5958, 3115, 279, 3148, 315, 9420, 11, 477, 810, 1109, 3116, 3115, 279, 3148, 315, 80724, 13, 36530, 11, 420, 3445, 430, 1202, 18528, 2011, 387, 6724, 2204, 505, 430, 315, 80724, 627, 16384, 3265, 88, 4871, 323, 704, 5380, 791, 12074, 6532, 304, 1202, 18841, 8493, 264, 6762, 13651, 315, 279, 1495, 23524, 1268, 16682, 5257, 40, 12, 9741, 18, 293, 374, 13, 2684, 527, 33975, 449, 4528, 90816, 11, 719, 6118, 1790, 9333, 11, 902, 527, 2307, 13737, 277, 17323, 14454, 555, 67770, 264, 80724, 12970, 11841, 315, 1202, 16975, 13, 2684, 527, 33975, 449, 4528, 32738, 11, 719, 922, 11157, 439, 3544, 323, 4461, 311, 617, 16781, 14036, 65733, 323, 5255, 54280, 13, 1054, 2181, 76854, 264, 5654, 315, 279, 65691, 10879, 510, 19909, 60, 578, 12074, 20536, 430, 1054, 1820, 3158, 315, 279, 4106, 33975, 430, 574, 8767, 76939, 315, 6302, 34310, 311, 279, 294, 7401, 5654, 315, 80724, 753, 4106, 24521, 49216, 791, 10535, 1385, 656, 539, 842, 1070, 13, 2684, 527, 1403, 28559, 430, 1304, 5647, 2728, 279, 90816, 520, 1514, 1618, 13, 3861, 374, 430, 279, 11841, 374, 1903, 709, 4661, 11622, 315, 56617, 3769, 1093, 9420, 11, 449, 264, 1633, 15792, 16975, 24043, 369, 832, 3346, 315, 1202, 3148, 520, 1455, 13, 578, 10778, 374, 430, 279, 3148, 374, 42147, 4332, 1990, 279, 56617, 6332, 323, 459, 23205, 6324, 315, 3090, 627, 2173, 3388, 11, 420, 690, 539, 387, 3090, 439, 584, 1440, 433, 13, 16644, 1202, 37843, 311, 1202, 3552, 6917, 323, 279, 23205, 40850, 505, 430, 3544, 18435, 11, 520, 3325, 1063, 315, 430, 3090, 1053, 387, 304, 264, 2307, 42641, 1614, 11, 323, 279, 7410, 3221, 279, 56617, 6332, 1053, 5457, 279, 3090, 311, 1376, 1579, 89561, 82486, 13, 20695, 690, 387, 1120, 439, 15234, 4871, 279, 4851, 13, 1666, 279, 12074, 5296, 11, 1054, 1820, 6012, 315, 279, 3769, 520, 1778, 1579, 8792, 40850, 7293, 36218, 49216, 2688, 1193, 656, 584, 14993, 311, 3619, 1202, 3118, 11, 584, 527, 520, 264, 4814, 994, 433, 4131, 311, 1202, 3347, 13, 15344, 16174, 19252, 1053, 3009, 92685, 505, 279, 11841, 8627, 287, 13668, 1603, 5257, 40, 12, 9741, 18, 293, 8813, 1202, 1510, 3148, 11, 439, 1524, 264, 9333, 11841, 2643, 24927, 279, 13668, 13, 1102, 374, 17821, 311, 617, 14454, 304, 1202, 1510, 3813, 11, 2533, 82486, 617, 17250, 9955, 49205, 1070, 627, 11874, 24525, 11, 539, 4461, 198, 791, 12074, 4284, 1403, 24525, 13, 3861, 374, 430, 264, 1912, 315, 11841, 288, 25137, 14454, 43726, 3201, 323, 1243, 872, 86228, 6244, 72257, 1534, 439, 279, 13668, 27115, 60150, 660, 13, 1115, 1436, 617, 6197, 311, 48453, 430, 56467, 5361, 33975, 11, 902, 1243, 5602, 872, 35098, 1376, 264, 3254, 2547, 13, 2030, 1521, 11618, 8541, 539, 311, 1376, 3254, 6302, 11, 323, 433, 1053, 4461, 1935, 264, 2763, 315, 33975, 311, 6920, 220, 5958, 4, 315, 279, 9420, 753, 13890, 315, 3769, 627, 791, 10778, 374, 430, 3892, 6962, 46309, 14454, 1790, 4726, 3201, 323, 1243, 72257, 1534, 1855, 1023, 753, 86228, 11, 9564, 832, 7701, 55920, 11, 449, 832, 961, 315, 279, 27605, 9193, 3345, 311, 279, 3552, 6917, 13, 1115, 1053, 2187, 433, 311, 6667, 3769, 505, 279, 15135, 315, 279, 11841, 8627, 287, 13668, 11, 264, 1920, 430, 1436, 2187, 264, 50789, 12970, 11841, 311, 7154, 2033, 1202, 3148, 13, 11699, 7340, 27605, 690, 1101, 2187, 433, 311, 8481, 1202, 16975, 311, 279, 6917, 13, 4740, 1521, 11618, 527, 4686, 11, 86559, 22639, 1990, 279, 11841, 323, 279, 6917, 690, 9778, 1304, 1202, 27605, 810, 5912, 627, 3947, 374, 4400, 22655, 12266, 922, 904, 315, 1521, 3284, 18488, 24717, 11, 719, 2225, 1397, 264, 4101, 315, 16907, 4455, 13, 578, 15861, 374, 2466, 11, 323, 1521, 2574, 527, 4461, 311, 3621, 15038, 11, 719, 433, 5084, 59525, 311, 1755, 430, 584, 1053, 1505, 872, 3135, 779, 6288, 627, 4054, 3245, 430, 2643, 1520, 603, 3619, 279, 6371, 315, 5257, 40, 12, 9741, 18, 293, 374, 279, 9546, 315, 1023, 33975, 304, 279, 1887, 11, 902, 2643, 1520, 603, 3619, 1148, 574, 12765, 304, 279, 9358, 5596, 315, 420, 16335, 1887, 13, 5257, 40, 12, 9741, 18, 293, 374, 779, 3544, 323, 779, 3345, 430, 433, 73880, 264, 11191, 8450, 11, 323, 584, 1053, 617, 1047, 12544, 54626, 904, 1023, 33975, 304, 420, 1887, 13, 59250, 16430, 430, 2555, 439, 11191, 439, 220, 605, 2024, 4014, 462, 1147, 1436, 1101, 387, 27605, 287, 3345, 311, 279, 6917, 11, 323, 584, 1053, 617, 13942, 430, 13, 70067, 11302, 1253, 387, 279, 1401, 311, 8830, 279, 1887, 627, 79519, 11, 220, 2366, 18, 13, 59670, 25, 220, 605, 13, 6889, 23, 2754, 18136, 4218, 12, 20063, 12, 20478, 1484, 12, 17, 320, 10714, 7528, 29460, 4390, 2118, 72016, 13, 1252, 391, 10216, 36324, 29349, 13, 45396, 97899, 13, 36542, 7061, 13, 468, 1036, 8393, 11333, 39153, 380, 13, 6405, 97899, 13, 11988, 13, 5000, 18640, 13, 18589, 11783, 2029, 128001, 128000, 34648, 2956, 16165, 11736, 374, 264, 8184, 8773, 86500, 43662, 320, 33, 2089, 8, 2532, 7471, 26, 584, 617, 3217, 304, 11850, 323, 12899, 5370, 469, 12, 34508, 4729, 7640, 11, 1778, 439, 279, 4857, 323, 13709, 315, 32906, 369, 904, 7471, 430, 24266, 704, 384, 42685, 627, 644, 384, 42685, 902, 706, 18661, 23354, 927, 279, 1667, 420, 574, 14918, 4245, 311, 1202, 16781, 5662, 311, 6444, 389, 264, 3728, 5569, 26, 4619, 315, 1120, 264, 2254, 7187, 13, 1666, 279, 7187, 315, 7757, 3932, 5376, 3235, 449, 872, 71540, 315, 433, 26, 279, 7631, 369, 264, 2731, 1217, 3217, 9221, 264, 8331, 369, 264, 1217, 1701, 832, 384, 42685, 2816, 505, 2500, 13, 2435, 1390, 872, 2038, 11, 23751, 11, 19882, 439, 1664, 439, 8323, 5873, 311, 1193, 387, 10862, 389, 872, 2926, 4034, 477, 7782, 323, 46095, 387, 304, 279, 1887, 26, 449, 279, 44701, 430, 279, 2038, 374, 7373, 9966, 627, 1271, 6920, 420, 704, 264, 469, 12, 34508, 4729, 374, 279, 4461, 6425, 11, 719, 4857, 832, 449, 1778, 264, 2237, 315, 23965, 374, 5107, 13, 423, 24760, 1903, 369, 1778, 10096, 1101, 617, 311, 19167, 449, 7524, 26542, 4211, 11, 5845, 311, 10299, 15320, 4245, 311, 7859, 828, 7437, 323, 449, 279, 4495, 4868, 4519, 430, 15320, 38680, 449, 892, 13, 6890, 2956, 16165, 11736, 706, 3549, 323, 5255, 9152, 264, 8205, 315, 384, 42685, 11351, 449, 264, 32789, 4729, 1977, 32599, 369, 279, 7138, 315, 279, 2626, 1418, 4857, 433, 779, 430, 3938, 6650, 315, 279, 2626, 374, 41853, 369, 627, 128001 ]
[ -100, 72326, 617, 1027, 3318, 389, 4211, 315, 11841, 18488, 2533, 1603, 584, 7020, 506, 94560, 1441, 25281, 13, 4314, 4211, 1051, 13517, 33687, 555, 279, 6012, 315, 279, 33975, 304, 1057, 13238, 1887, 11, 323, 617, 1027, 6982, 311, 387, 49723, 1695, 520, 24043, 369, 506, 94560, 1441, 430, 617, 912, 13890, 304, 1057, 13238, 1887, 11, 1778, 439, 279, 2307, 13737, 277, 17323, 323, 4106, 4275, 418, 8699, 13, 2758, 311, 420, 279, 33975, 529, 5845, 311, 3351, 9523, 311, 71019, 22639, 11, 323, 279, 6012, 315, 506, 94560, 1441, 649, 6118, 387, 4529, 1139, 2759, 627, 15724, 11, 264, 3544, 6625, 2128, 315, 12074, 48782, 279, 18841, 315, 2555, 430, 1057, 4211, 4250, 10552, 13, 1102, 374, 922, 279, 1404, 315, 80724, 11, 719, 3116, 3115, 8294, 13, 11699, 17915, 1389, 1790, 5190, 1109, 430, 315, 11245, 1389, 374, 13263, 449, 279, 4553, 11841, 1694, 4661, 11622, 6573, 477, 3515, 459, 18435, 5655, 3403, 311, 1207, 19590, 4553, 33975, 13, 6104, 279, 1274, 889, 11352, 433, 3085, 1403, 26018, 369, 1202, 18488, 11, 14188, 374, 8104, 4461, 627, 791, 4007, 315, 279, 502, 11841, 6137, 439, 1690, 656, 1457, 25, 433, 574, 11054, 439, 459, 1665, 315, 2802, 555, 279, 4149, 5977, 1398, 94560, 295, 24507, 320, 5319, 40, 11, 369, 350, 10201, 3075, 315, 25074, 8, 24088, 13, 5257, 40, 12, 9741, 18, 374, 264, 6917, 14738, 9333, 1109, 1057, 8219, 11, 449, 264, 3148, 315, 922, 220, 15, 13, 23, 3115, 13, 2684, 1051, 2867, 12195, 315, 279, 14209, 315, 264, 11841, 3345, 311, 279, 6917, 11, 1457, 2663, 5257, 40, 12, 9741, 18, 293, 13, 578, 11841, 86228, 3345, 311, 1202, 3552, 6917, 11, 27666, 264, 2539, 27605, 304, 220, 16, 13, 1187, 2919, 627, 791, 12074, 1511, 430, 892, 311, 8417, 279, 6138, 520, 902, 279, 11841, 90159, 13, 20817, 389, 264, 10824, 315, 430, 6138, 11, 279, 1404, 315, 279, 6917, 11, 323, 279, 3392, 315, 3177, 19857, 555, 279, 11841, 11, 433, 374, 3284, 311, 16430, 279, 1404, 315, 279, 11841, 13, 1115, 10800, 704, 311, 387, 922, 220, 18, 13, 20, 3115, 279, 10801, 315, 9420, 11, 902, 3445, 433, 374, 10284, 9333, 1109, 80724, 627, 2028, 304, 5196, 374, 539, 19018, 13, 9176, 80724, 28935, 33975, 617, 1027, 11352, 13, 2030, 279, 10824, 315, 1404, 323, 37843, 311, 279, 6917, 374, 16907, 13, 1628, 433, 7634, 433, 304, 279, 779, 19434, 1054, 10847, 80724, 24521, 2476, 1405, 19428, 25407, 505, 279, 6917, 44727, 505, 279, 11841, 753, 16975, 13, 4275, 418, 8699, 430, 5662, 279, 4106, 24521, 1614, 842, 709, 37779, 315, 872, 56617, 6332, 11, 3339, 1124, 264, 2307, 13737, 47601, 627, 4516, 1148, 574, 5257, 40, 12, 9741, 18, 293, 3815, 304, 279, 24521, 30, 2057, 1505, 704, 11, 279, 12074, 1511, 5015, 6108, 9466, 38270, 311, 3839, 279, 11633, 315, 1202, 3552, 6917, 439, 5257, 40, 12, 9741, 18, 293, 753, 71019, 6958, 5614, 439, 433, 7882, 1555, 1202, 27605, 13, 578, 31903, 315, 279, 6917, 753, 11633, 4245, 311, 420, 11161, 649, 387, 1511, 311, 16430, 279, 11841, 753, 3148, 627, 2181, 10800, 704, 430, 5257, 40, 12, 9741, 18, 293, 706, 264, 2763, 505, 279, 2565, 13, 11699, 3148, 374, 13240, 520, 220, 5958, 3115, 279, 3148, 315, 9420, 11, 477, 810, 1109, 3116, 3115, 279, 3148, 315, 80724, 13, 36530, 11, 420, 3445, 430, 1202, 18528, 2011, 387, 6724, 2204, 505, 430, 315, 80724, 627, 16384, 3265, 88, 4871, 323, 704, 5380, 791, 12074, 6532, 304, 1202, 18841, 8493, 264, 6762, 13651, 315, 279, 1495, 23524, 1268, 16682, 5257, 40, 12, 9741, 18, 293, 374, 13, 2684, 527, 33975, 449, 4528, 90816, 11, 719, 6118, 1790, 9333, 11, 902, 527, 2307, 13737, 277, 17323, 14454, 555, 67770, 264, 80724, 12970, 11841, 315, 1202, 16975, 13, 2684, 527, 33975, 449, 4528, 32738, 11, 719, 922, 11157, 439, 3544, 323, 4461, 311, 617, 16781, 14036, 65733, 323, 5255, 54280, 13, 1054, 2181, 76854, 264, 5654, 315, 279, 65691, 10879, 510, 19909, 60, 578, 12074, 20536, 430, 1054, 1820, 3158, 315, 279, 4106, 33975, 430, 574, 8767, 76939, 315, 6302, 34310, 311, 279, 294, 7401, 5654, 315, 80724, 753, 4106, 24521, 49216, 791, 10535, 1385, 656, 539, 842, 1070, 13, 2684, 527, 1403, 28559, 430, 1304, 5647, 2728, 279, 90816, 520, 1514, 1618, 13, 3861, 374, 430, 279, 11841, 374, 1903, 709, 4661, 11622, 315, 56617, 3769, 1093, 9420, 11, 449, 264, 1633, 15792, 16975, 24043, 369, 832, 3346, 315, 1202, 3148, 520, 1455, 13, 578, 10778, 374, 430, 279, 3148, 374, 42147, 4332, 1990, 279, 56617, 6332, 323, 459, 23205, 6324, 315, 3090, 627, 2173, 3388, 11, 420, 690, 539, 387, 3090, 439, 584, 1440, 433, 13, 16644, 1202, 37843, 311, 1202, 3552, 6917, 323, 279, 23205, 40850, 505, 430, 3544, 18435, 11, 520, 3325, 1063, 315, 430, 3090, 1053, 387, 304, 264, 2307, 42641, 1614, 11, 323, 279, 7410, 3221, 279, 56617, 6332, 1053, 5457, 279, 3090, 311, 1376, 1579, 89561, 82486, 13, 20695, 690, 387, 1120, 439, 15234, 4871, 279, 4851, 13, 1666, 279, 12074, 5296, 11, 1054, 1820, 6012, 315, 279, 3769, 520, 1778, 1579, 8792, 40850, 7293, 36218, 49216, 2688, 1193, 656, 584, 14993, 311, 3619, 1202, 3118, 11, 584, 527, 520, 264, 4814, 994, 433, 4131, 311, 1202, 3347, 13, 15344, 16174, 19252, 1053, 3009, 92685, 505, 279, 11841, 8627, 287, 13668, 1603, 5257, 40, 12, 9741, 18, 293, 8813, 1202, 1510, 3148, 11, 439, 1524, 264, 9333, 11841, 2643, 24927, 279, 13668, 13, 1102, 374, 17821, 311, 617, 14454, 304, 1202, 1510, 3813, 11, 2533, 82486, 617, 17250, 9955, 49205, 1070, 627, 11874, 24525, 11, 539, 4461, 198, 791, 12074, 4284, 1403, 24525, 13, 3861, 374, 430, 264, 1912, 315, 11841, 288, 25137, 14454, 43726, 3201, 323, 1243, 872, 86228, 6244, 72257, 1534, 439, 279, 13668, 27115, 60150, 660, 13, 1115, 1436, 617, 6197, 311, 48453, 430, 56467, 5361, 33975, 11, 902, 1243, 5602, 872, 35098, 1376, 264, 3254, 2547, 13, 2030, 1521, 11618, 8541, 539, 311, 1376, 3254, 6302, 11, 323, 433, 1053, 4461, 1935, 264, 2763, 315, 33975, 311, 6920, 220, 5958, 4, 315, 279, 9420, 753, 13890, 315, 3769, 627, 791, 10778, 374, 430, 3892, 6962, 46309, 14454, 1790, 4726, 3201, 323, 1243, 72257, 1534, 1855, 1023, 753, 86228, 11, 9564, 832, 7701, 55920, 11, 449, 832, 961, 315, 279, 27605, 9193, 3345, 311, 279, 3552, 6917, 13, 1115, 1053, 2187, 433, 311, 6667, 3769, 505, 279, 15135, 315, 279, 11841, 8627, 287, 13668, 11, 264, 1920, 430, 1436, 2187, 264, 50789, 12970, 11841, 311, 7154, 2033, 1202, 3148, 13, 11699, 7340, 27605, 690, 1101, 2187, 433, 311, 8481, 1202, 16975, 311, 279, 6917, 13, 4740, 1521, 11618, 527, 4686, 11, 86559, 22639, 1990, 279, 11841, 323, 279, 6917, 690, 9778, 1304, 1202, 27605, 810, 5912, 627, 3947, 374, 4400, 22655, 12266, 922, 904, 315, 1521, 3284, 18488, 24717, 11, 719, 2225, 1397, 264, 4101, 315, 16907, 4455, 13, 578, 15861, 374, 2466, 11, 323, 1521, 2574, 527, 4461, 311, 3621, 15038, 11, 719, 433, 5084, 59525, 311, 1755, 430, 584, 1053, 1505, 872, 3135, 779, 6288, 627, 4054, 3245, 430, 2643, 1520, 603, 3619, 279, 6371, 315, 5257, 40, 12, 9741, 18, 293, 374, 279, 9546, 315, 1023, 33975, 304, 279, 1887, 11, 902, 2643, 1520, 603, 3619, 1148, 574, 12765, 304, 279, 9358, 5596, 315, 420, 16335, 1887, 13, 5257, 40, 12, 9741, 18, 293, 374, 779, 3544, 323, 779, 3345, 430, 433, 73880, 264, 11191, 8450, 11, 323, 584, 1053, 617, 1047, 12544, 54626, 904, 1023, 33975, 304, 420, 1887, 13, 59250, 16430, 430, 2555, 439, 11191, 439, 220, 605, 2024, 4014, 462, 1147, 1436, 1101, 387, 27605, 287, 3345, 311, 279, 6917, 11, 323, 584, 1053, 617, 13942, 430, 13, 70067, 11302, 1253, 387, 279, 1401, 311, 8830, 279, 1887, 627, 79519, 11, 220, 2366, 18, 13, 59670, 25, 220, 605, 13, 6889, 23, 2754, 18136, 4218, 12, 20063, 12, 20478, 1484, 12, 17, 320, 10714, 7528, 29460, 4390, 2118, 72016, 13, 1252, 391, 10216, 36324, 29349, 13, 45396, 97899, 13, 36542, 7061, 13, 468, 1036, 8393, 11333, 39153, 380, 13, 6405, 97899, 13, 11988, 13, 5000, 18640, 13, 18589, 11783, 2029, 128001, -100, 34648, 2956, 16165, 11736, 374, 264, 8184, 8773, 86500, 43662, 320, 33, 2089, 8, 2532, 7471, 26, 584, 617, 3217, 304, 11850, 323, 12899, 5370, 469, 12, 34508, 4729, 7640, 11, 1778, 439, 279, 4857, 323, 13709, 315, 32906, 369, 904, 7471, 430, 24266, 704, 384, 42685, 627, 644, 384, 42685, 902, 706, 18661, 23354, 927, 279, 1667, 420, 574, 14918, 4245, 311, 1202, 16781, 5662, 311, 6444, 389, 264, 3728, 5569, 26, 4619, 315, 1120, 264, 2254, 7187, 13, 1666, 279, 7187, 315, 7757, 3932, 5376, 3235, 449, 872, 71540, 315, 433, 26, 279, 7631, 369, 264, 2731, 1217, 3217, 9221, 264, 8331, 369, 264, 1217, 1701, 832, 384, 42685, 2816, 505, 2500, 13, 2435, 1390, 872, 2038, 11, 23751, 11, 19882, 439, 1664, 439, 8323, 5873, 311, 1193, 387, 10862, 389, 872, 2926, 4034, 477, 7782, 323, 46095, 387, 304, 279, 1887, 26, 449, 279, 44701, 430, 279, 2038, 374, 7373, 9966, 627, 1271, 6920, 420, 704, 264, 469, 12, 34508, 4729, 374, 279, 4461, 6425, 11, 719, 4857, 832, 449, 1778, 264, 2237, 315, 23965, 374, 5107, 13, 423, 24760, 1903, 369, 1778, 10096, 1101, 617, 311, 19167, 449, 7524, 26542, 4211, 11, 5845, 311, 10299, 15320, 4245, 311, 7859, 828, 7437, 323, 449, 279, 4495, 4868, 4519, 430, 15320, 38680, 449, 892, 13, 6890, 2956, 16165, 11736, 706, 3549, 323, 5255, 9152, 264, 8205, 315, 384, 42685, 11351, 449, 264, 32789, 4729, 1977, 32599, 369, 279, 7138, 315, 279, 2626, 1418, 4857, 433, 779, 430, 3938, 6650, 315, 279, 2626, 374, 41853, 369, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 24641, 94473, 30941, 12250, 9189, 2322, 73468, 665, 12976, 9952, 5636, 409, 48577, 37953, 409, 66651, 45325, 21874, 5512, 46206, 951, 54008, 4918, 1765, 951, 270, 66474, 9721, 1821, 627, 793, 9851, 1600, 3467, 5421, 37285, 3166, 6119, 2147, 3910, 32, 1669, 15643, 27809, 16, 27809, 17, 480, 1308, 52, 1777, 362, 29156, 9972, 5712, 40269, 445, 1829, 12501, 1600, 482, 48132, 551, 2109, 31539, 409, 5208, 344, 13109, 39603, 97496, 76185, 3279, 355, 2119, 220, 679, 21, 220, 18, 326, 15643, 27809, 16, 27809, 17, 1219, 59976, 265, 3625, 1615, 625, 288, 409, 37417, 627, 34868, 3754, 13, 7327, 23488, 13, 763, 220, 679, 21, 11, 520, 279, 7777, 5808, 19558, 14894, 304, 38147, 11, 53083, 37490, 10666, 23488, 369, 220, 1032, 7224, 505, 2225, 55518, 41862, 82, 323, 48089, 2391, 1202, 1176, 7327, 23488, 95752, 627, 37, 1228, 6474, 374, 264, 3754, 3997, 922, 20315, 5594, 41752, 25, 8121, 76589, 13, 1102, 6209, 1202, 13016, 264, 7029, 323, 56563, 2262, 922, 279, 5150, 488, 315, 872, 7075, 1847, 627, 10343, 9328, 4967, 16079, 389, 22705, 220, 14648, 1721, 323, 22705, 220, 5162, 410, 1825, 311, 2225, 8907, 9808, 323, 50184, 13, 4557, 4497, 13, 22705, 220, 14648, 1721, 611, 220, 5162, 410, 16543, 13, 22705, 220, 14648, 1721, 611, 220, 5162, 410, 2057, 4822, 709, 311, 2457, 389, 14713, 6964, 6848, 304, 279, 4465, 2403, 21948, 11, 5249, 279, 11909, 304, 64161, 304, 6664, 0, 3580, 682, 4455, 12382, 11359, 603, 13, 23068, 627, 791, 1455, 709, 4791, 18920, 15061, 3754, 369, 279, 5801, 10138, 55480, 16312, 82, 2737, 22020, 11, 22162, 11, 9899, 11, 12483, 323, 39104, 3354, 1373, 71511, 279, 445, 56606, 1376, 24806, 1899, 435, 20066, 1630, 59553, 1630, 220, 16, 832, 2643, 2019, 5377, 711, 359, 15586, 11, 1825, 90762, 3345, 11, 1825, 39537, 11, 7302, 11, 439, 682, 3816, 12669, 8964, 11, 46276, 83003, 4661, 1475, 11714, 13, 128001, 128000, 791, 42013, 51285, 374, 832, 315, 1884, 36800, 430, 1120, 58943, 304, 1664, 449, 904, 4580, 584, 6818, 627, 4438, 1115, 10506, 35800, 6901, 25, 1226, 46664, 420, 369, 459, 11838, 17074, 323, 1243, 6052, 433, 719, 1101, 1047, 264, 5743, 315, 51055, 520, 264, 89706, 70222, 17074, 1938, 627, 1255, 2402, 25, 36823, 336, 30133, 52068, 277, 352, 220, 10132, 11, 42013, 18530, 412, 11, 42013, 9084, 7215, 7197, 11, 42013, 7445, 90600, 627, 12243, 1445, 27233, 25, 2684, 374, 264, 1695, 27744, 311, 433, 719, 23062, 420, 7833, 1203, 706, 810, 13552, 19025, 627, 15409, 311, 15354, 28295, 2968, 25, 1472, 649, 28960, 704, 279, 42013, 51285, 1664, 369, 1455, 10677, 12562, 323, 584, 1093, 279, 7652, 2968, 1618, 627, 626, 685, 25650, 28295, 2968, 25, 1442, 499, 2543, 279, 57795, 74829, 814, 617, 810, 7652, 2968, 369, 264, 13726, 52765, 1109, 1455, 323, 499, 649, 15332, 433, 264, 2697, 4726, 1855, 1648, 627, 95417, 25, 2360, 1972, 7410, 3585, 505, 279, 39448, 34647, 389, 279, 51285, 627, 18402, 9365, 25, 578, 11298, 28935, 39448, 34647, 706, 264, 6555, 8335, 1990, 1694, 33445, 719, 2103, 10923, 499, 311, 2733, 264, 2766, 1949, 13, 3639, 584, 2216, 1093, 374, 1268, 1790, 12466, 1070, 374, 2212, 279, 8579, 23506, 315, 279, 31316, 34647, 779, 433, 649, 6958, 701, 10677, 304, 5128, 10508, 13, 4427, 64230, 23506, 31316, 49349, 649, 1120, 2567, 42949, 323, 42949, 323, 42949, 719, 2646, 2216, 6958, 701, 10677, 304, 13, 4314, 617, 25703, 719, 1101, 6958, 279, 10677, 304, 627, 19952, 16065, 7246, 25, 3639, 574, 15206, 922, 279, 42013, 51285, 574, 1268, 1664, 433, 6656, 1120, 922, 904, 4580, 430, 358, 2231, 433, 389, 13, 1102, 3250, 1431, 2733, 1093, 433, 374, 2133, 311, 387, 439, 27078, 439, 433, 1587, 719, 433, 58943, 11113, 2136, 449, 17676, 2136, 1633, 1664, 369, 264, 5128, 45207, 2733, 627, 4071, 60485, 12598, 2635, 9636, 5447, 25, 578, 42013, 51285, 1550, 264, 2294, 2683, 77391, 3729, 449, 279, 4580, 323, 433, 3727, 21126, 430, 7784, 1431, 2307, 31161, 2733, 64230, 1234, 5447, 13, 1102, 706, 264, 2763, 315, 430, 11204, 430, 54755, 1050, 25, 32771, 477, 9323, 20217, 11997, 36800, 617, 323, 3727, 264, 4580, 14432, 8831, 13, 1226, 3287, 1431, 2733, 433, 439, 1790, 389, 279, 9084, 7215, 7197, 719, 2771, 1550, 389, 279, 18530, 412, 323, 279, 52068, 277, 352, 430, 617, 264, 64230, 5882, 13, 36625, 994, 358, 7863, 433, 311, 2753, 14432, 88, 36800, 1093, 279, 9323, 43443, 627, 49, 85092, 744, 25, 36416, 1695, 719, 539, 8056, 13, 15037, 6612, 1093, 279, 7263, 6666, 311, 5694, 304, 264, 1695, 477, 3958, 1648, 627, 87649, 22855, 66181, 25, 578, 42013, 51285, 706, 264, 1633, 33868, 88, 8579, 4579, 2788, 430, 13777, 1022, 4363, 826, 477, 61437, 12056, 323, 1063, 1695, 6392, 2133, 389, 2212, 279, 11314, 315, 279, 9501, 2385, 12235, 311, 41369, 268, 709, 279, 12141, 520, 5190, 25753, 627, 4516, 279, 2697, 60796, 3808, 449, 420, 2624, 617, 1903, 603, 1093, 433, 264, 2697, 810, 1475, 1060, 323, 433, 5762, 709, 2216, 1664, 2403, 1063, 315, 1057, 27672, 627, 791, 42013, 51285, 12056, 2541, 11212, 5825, 264, 1695, 5882, 287, 1579, 1203, 11, 6555, 2733, 1234, 5447, 11, 10283, 315, 11542, 315, 7351, 323, 433, 753, 264, 2294, 5873, 369, 1884, 889, 1093, 311, 14432, 627, 1687, 1456, 311, 636, 439, 1690, 5448, 315, 279, 42013, 51285, 11, 719, 44491, 603, 422, 814, 2351, 539, 682, 1070, 627, 128001, 128000, 793, 33, 7391, 611, 220, 16660, 15, 71046, 198, 33246, 220, 19, 339, 520, 220, 2705, 25, 3174, 8971, 198, 33246, 220, 19, 339, 520, 220, 2705, 25, 3174, 8971, 198, 27247, 18374, 74766, 1427, 1203, 1555, 21633, 289, 1274, 889, 1511, 311, 3152, 264, 4459, 54460, 311, 13835, 426, 66, 602, 15803, 430, 499, 4805, 842, 709, 31299, 1093, 264, 2697, 40530, 15953, 12459, 7833, 709, 4106, 18414, 17138, 198, 19041, 753, 264, 28201, 892, 1475, 3814, 994, 499, 3207, 539, 19781, 3403, 311, 6212, 719, 1070, 753, 912, 1648, 499, 649, 5379, 311, 264, 2539, 3160, 5818, 198, 35734, 374, 433, 430, 5127, 649, 387, 459, 59963, 7119, 757, 323, 430, 753, 14268, 7060, 719, 279, 9568, 602, 617, 1047, 3403, 323, 1180, 1093, 459, 59963, 1202, 682, 315, 264, 11210, 539, 17339, 128001, 128000, 10343, 28508, 449, 34496, 435, 3768, 21387, 198, 15218, 198, 42144, 512, 2276, 10687, 527, 11075, 555, 1690, 9547, 13, 578, 21977, 374, 311, 2035, 4606, 520, 279, 4219, 323, 279, 4892, 53727, 520, 279, 1948, 13, 3296, 25012, 459, 3158, 304, 279, 4219, 11, 279, 2472, 25214, 374, 66084, 287, 1202, 12939, 11, 16280, 1202, 39239, 2786, 13, 42209, 89493, 4284, 264, 2204, 743, 315, 2819, 323, 279, 13336, 315, 2204, 30601, 627, 12, 10441, 4078, 512, 12, 50015, 9878, 198, 12, 24749, 9580, 512, 12, 220, 21, 11, 220, 22, 11, 220, 23, 198, 12, 65818, 512, 12, 4435, 11346, 58237, 279, 9939, 300, 198, 12, 10067, 512, 12, 4435, 198, 12, 4212, 26572, 512, 12, 4435, 11346, 58237, 279, 9939, 300, 128001, 128000, 791, 12399, 315, 264, 11191, 3723, 19687, 15813, 6004, 420, 2046, 45537, 584, 3207, 304, 19662, 12544, 1109, 584, 3463, 627, 35, 2453, 780, 3823, 51877, 2656, 4442, 311, 279, 5933, 1917, 617, 19543, 304, 264, 3610, 6136, 323, 10065, 9606, 1457, 520, 5326, 315, 52609, 627, 43057, 1005, 2349, 11, 40761, 315, 5070, 323, 10182, 2349, 617, 1027, 14618, 311, 439, 3682, 20965, 311, 420, 4814, 627, 4071, 1418, 50120, 259, 33214, 323, 53103, 92822, 3663, 810, 14247, 15635, 11, 1070, 753, 1790, 520, 18783, 369, 22706, 13, 578, 15813, 3585, 311, 264, 3831, 3717, 1990, 279, 4814, 315, 73119, 323, 3823, 1664, 33851, 627, 43057, 53568, 323, 279, 18174, 315, 40558, 40250, 31665, 13, 578, 4814, 315, 51296, 299, 2396, 12992, 279, 6140, 315, 39262, 627, 4164, 706, 1027, 810, 22520, 304, 1023, 5789, 315, 279, 1917, 13, 2030, 584, 527, 20781, 22852, 627, 39787, 1203, 311, 7493, 315, 41420, 779, 81826, 11, 2362, 2442, 68997, 92307, 814, 1436, 4321, 389, 872, 28678, 13, 24702, 430, 311, 279, 71075, 315, 279, 46175, 1982, 3432, 13, 21829, 279, 55274, 5647, 449, 902, 584, 1457, 8071, 279, 7474, 18057, 11, 514, 727, 315, 279, 16603, 323, 24767, 430, 2643, 11422, 1523, 627, 644, 220, 679, 23, 7636, 11, 1070, 1051, 25114, 8798, 58365, 4028, 4606, 323, 36664, 13936, 11, 1418, 4892, 5270, 75440, 61272, 323, 99482, 13, 3011, 5497, 3250, 1431, 5101, 311, 387, 10223, 627, 2520, 2288, 1317, 584, 4070, 11846, 304, 2731, 479, 555, 15652, 323, 430, 279, 1917, 584, 7020, 690, 2744, 387, 449, 603, 627, 4071, 279, 14248, 2019, 430, 374, 912, 5129, 779, 13, 15583, 1413, 3463, 323, 1957, 374, 4460, 311, 3665, 279, 5933, 1917, 323, 304, 3815, 779, 11, 3041, 264, 11039, 6140, 369, 12966, 439, 1664, 627, 3923, 527, 701, 11555, 30, 11244, 603, 264, 6661, 4669, 2613, 555, 18965, 1618, 477, 1772, 264, 4068, 3770, 13, 128001, 128000, 1622, 2802, 4478, 369, 2875, 4751, 27512, 27460, 617, 93342, 505, 13750, 7315, 311, 220, 2031, 32280, 927, 279, 1566, 2478, 4038, 627, 46510, 11, 279, 7140, 596, 7928, 55935, 315, 27512, 27460, 11, 706, 22340, 37958, 58750, 439, 459, 55935, 369, 264, 4261, 315, 30335, 4038, 627, 2460, 1122, 89, 706, 4529, 264, 23413, 18783, 304, 15155, 7528, 12205, 6783, 18099, 72094, 439, 433, 26737, 311, 2567, 3839, 315, 279, 85385, 4842, 10706, 627, 47, 20741, 11, 264, 293, 17, 65, 85243, 328, 65710, 1212, 5352, 7376, 264, 400, 18, 13, 17, 44, 11378, 362, 6197, 555, 426, 37432, 75896, 11, 449, 20852, 505, 12531, 23663, 627, 19931, 34605, 3196, 2678, 2883, 11941, 5452, 735, 373, 78, 706, 9408, 400, 16, 13, 17, 76, 304, 26255, 11006, 6197, 555, 45721, 30693, 507, 4355, 83531, 278, 627, 791, 220, 679, 20, 46627, 1934, 5039, 430, 279, 4430, 315, 1274, 2085, 2890, 8276, 19284, 304, 220, 2491, 5415, 8844, 311, 220, 679, 19, 627, 14783, 374, 3411, 369, 8276, 8717, 369, 1063, 315, 1202, 9873, 2737, 40005, 627, 36978, 41424, 1268, 6505, 11, 8515, 1752, 14507, 527, 3339, 433, 8831, 369, 279, 33012, 6696, 430, 17135, 459, 9974, 5476, 62421, 14135, 627, 2232, 22321, 41424, 279, 17509, 5064, 315, 1672, 1711, 53098, 323, 47710, 627, 2599, 6061, 706, 2834, 264, 33108, 14433, 300, 6150, 315, 8184, 426, 95895, 10292, 627, 84281, 39909, 15083, 53431, 753, 5295, 19177, 71474, 7813, 391, 2223, 34864, 482, 10926, 5380, 96088, 3196, 19160, 6373, 3241, 2883, 3623, 4341, 706, 9408, 459, 400, 23, 13, 20, 76, 11378, 426, 6197, 555, 3778, 12517, 75896, 13, 128001 ]
[ -100, 24641, 94473, 30941, 12250, 9189, 2322, 73468, 665, 12976, 9952, 5636, 409, 48577, 37953, 409, 66651, 45325, 21874, 5512, 46206, 951, 54008, 4918, 1765, 951, 270, 66474, 9721, 1821, 627, 793, 9851, 1600, 3467, 5421, 37285, 3166, 6119, 2147, 3910, 32, 1669, 15643, 27809, 16, 27809, 17, 480, 1308, 52, 1777, 362, 29156, 9972, 5712, 40269, 445, 1829, 12501, 1600, 482, 48132, 551, 2109, 31539, 409, 5208, 344, 13109, 39603, 97496, 76185, 3279, 355, 2119, 220, 679, 21, 220, 18, 326, 15643, 27809, 16, 27809, 17, 1219, 59976, 265, 3625, 1615, 625, 288, 409, 37417, 627, 34868, 3754, 13, 7327, 23488, 13, 763, 220, 679, 21, 11, 520, 279, 7777, 5808, 19558, 14894, 304, 38147, 11, 53083, 37490, 10666, 23488, 369, 220, 1032, 7224, 505, 2225, 55518, 41862, 82, 323, 48089, 2391, 1202, 1176, 7327, 23488, 95752, 627, 37, 1228, 6474, 374, 264, 3754, 3997, 922, 20315, 5594, 41752, 25, 8121, 76589, 13, 1102, 6209, 1202, 13016, 264, 7029, 323, 56563, 2262, 922, 279, 5150, 488, 315, 872, 7075, 1847, 627, 10343, 9328, 4967, 16079, 389, 22705, 220, 14648, 1721, 323, 22705, 220, 5162, 410, 1825, 311, 2225, 8907, 9808, 323, 50184, 13, 4557, 4497, 13, 22705, 220, 14648, 1721, 611, 220, 5162, 410, 16543, 13, 22705, 220, 14648, 1721, 611, 220, 5162, 410, 2057, 4822, 709, 311, 2457, 389, 14713, 6964, 6848, 304, 279, 4465, 2403, 21948, 11, 5249, 279, 11909, 304, 64161, 304, 6664, 0, 3580, 682, 4455, 12382, 11359, 603, 13, 23068, 627, 791, 1455, 709, 4791, 18920, 15061, 3754, 369, 279, 5801, 10138, 55480, 16312, 82, 2737, 22020, 11, 22162, 11, 9899, 11, 12483, 323, 39104, 3354, 1373, 71511, 279, 445, 56606, 1376, 24806, 1899, 435, 20066, 1630, 59553, 1630, 220, 16, 832, 2643, 2019, 5377, 711, 359, 15586, 11, 1825, 90762, 3345, 11, 1825, 39537, 11, 7302, 11, 439, 682, 3816, 12669, 8964, 11, 46276, 83003, 4661, 1475, 11714, 13, 128001, -100, 791, 42013, 51285, 374, 832, 315, 1884, 36800, 430, 1120, 58943, 304, 1664, 449, 904, 4580, 584, 6818, 627, 4438, 1115, 10506, 35800, 6901, 25, 1226, 46664, 420, 369, 459, 11838, 17074, 323, 1243, 6052, 433, 719, 1101, 1047, 264, 5743, 315, 51055, 520, 264, 89706, 70222, 17074, 1938, 627, 1255, 2402, 25, 36823, 336, 30133, 52068, 277, 352, 220, 10132, 11, 42013, 18530, 412, 11, 42013, 9084, 7215, 7197, 11, 42013, 7445, 90600, 627, 12243, 1445, 27233, 25, 2684, 374, 264, 1695, 27744, 311, 433, 719, 23062, 420, 7833, 1203, 706, 810, 13552, 19025, 627, 15409, 311, 15354, 28295, 2968, 25, 1472, 649, 28960, 704, 279, 42013, 51285, 1664, 369, 1455, 10677, 12562, 323, 584, 1093, 279, 7652, 2968, 1618, 627, 626, 685, 25650, 28295, 2968, 25, 1442, 499, 2543, 279, 57795, 74829, 814, 617, 810, 7652, 2968, 369, 264, 13726, 52765, 1109, 1455, 323, 499, 649, 15332, 433, 264, 2697, 4726, 1855, 1648, 627, 95417, 25, 2360, 1972, 7410, 3585, 505, 279, 39448, 34647, 389, 279, 51285, 627, 18402, 9365, 25, 578, 11298, 28935, 39448, 34647, 706, 264, 6555, 8335, 1990, 1694, 33445, 719, 2103, 10923, 499, 311, 2733, 264, 2766, 1949, 13, 3639, 584, 2216, 1093, 374, 1268, 1790, 12466, 1070, 374, 2212, 279, 8579, 23506, 315, 279, 31316, 34647, 779, 433, 649, 6958, 701, 10677, 304, 5128, 10508, 13, 4427, 64230, 23506, 31316, 49349, 649, 1120, 2567, 42949, 323, 42949, 323, 42949, 719, 2646, 2216, 6958, 701, 10677, 304, 13, 4314, 617, 25703, 719, 1101, 6958, 279, 10677, 304, 627, 19952, 16065, 7246, 25, 3639, 574, 15206, 922, 279, 42013, 51285, 574, 1268, 1664, 433, 6656, 1120, 922, 904, 4580, 430, 358, 2231, 433, 389, 13, 1102, 3250, 1431, 2733, 1093, 433, 374, 2133, 311, 387, 439, 27078, 439, 433, 1587, 719, 433, 58943, 11113, 2136, 449, 17676, 2136, 1633, 1664, 369, 264, 5128, 45207, 2733, 627, 4071, 60485, 12598, 2635, 9636, 5447, 25, 578, 42013, 51285, 1550, 264, 2294, 2683, 77391, 3729, 449, 279, 4580, 323, 433, 3727, 21126, 430, 7784, 1431, 2307, 31161, 2733, 64230, 1234, 5447, 13, 1102, 706, 264, 2763, 315, 430, 11204, 430, 54755, 1050, 25, 32771, 477, 9323, 20217, 11997, 36800, 617, 323, 3727, 264, 4580, 14432, 8831, 13, 1226, 3287, 1431, 2733, 433, 439, 1790, 389, 279, 9084, 7215, 7197, 719, 2771, 1550, 389, 279, 18530, 412, 323, 279, 52068, 277, 352, 430, 617, 264, 64230, 5882, 13, 36625, 994, 358, 7863, 433, 311, 2753, 14432, 88, 36800, 1093, 279, 9323, 43443, 627, 49, 85092, 744, 25, 36416, 1695, 719, 539, 8056, 13, 15037, 6612, 1093, 279, 7263, 6666, 311, 5694, 304, 264, 1695, 477, 3958, 1648, 627, 87649, 22855, 66181, 25, 578, 42013, 51285, 706, 264, 1633, 33868, 88, 8579, 4579, 2788, 430, 13777, 1022, 4363, 826, 477, 61437, 12056, 323, 1063, 1695, 6392, 2133, 389, 2212, 279, 11314, 315, 279, 9501, 2385, 12235, 311, 41369, 268, 709, 279, 12141, 520, 5190, 25753, 627, 4516, 279, 2697, 60796, 3808, 449, 420, 2624, 617, 1903, 603, 1093, 433, 264, 2697, 810, 1475, 1060, 323, 433, 5762, 709, 2216, 1664, 2403, 1063, 315, 1057, 27672, 627, 791, 42013, 51285, 12056, 2541, 11212, 5825, 264, 1695, 5882, 287, 1579, 1203, 11, 6555, 2733, 1234, 5447, 11, 10283, 315, 11542, 315, 7351, 323, 433, 753, 264, 2294, 5873, 369, 1884, 889, 1093, 311, 14432, 627, 1687, 1456, 311, 636, 439, 1690, 5448, 315, 279, 42013, 51285, 11, 719, 44491, 603, 422, 814, 2351, 539, 682, 1070, 627, 128001, -100, 793, 33, 7391, 611, 220, 16660, 15, 71046, 198, 33246, 220, 19, 339, 520, 220, 2705, 25, 3174, 8971, 198, 33246, 220, 19, 339, 520, 220, 2705, 25, 3174, 8971, 198, 27247, 18374, 74766, 1427, 1203, 1555, 21633, 289, 1274, 889, 1511, 311, 3152, 264, 4459, 54460, 311, 13835, 426, 66, 602, 15803, 430, 499, 4805, 842, 709, 31299, 1093, 264, 2697, 40530, 15953, 12459, 7833, 709, 4106, 18414, 17138, 198, 19041, 753, 264, 28201, 892, 1475, 3814, 994, 499, 3207, 539, 19781, 3403, 311, 6212, 719, 1070, 753, 912, 1648, 499, 649, 5379, 311, 264, 2539, 3160, 5818, 198, 35734, 374, 433, 430, 5127, 649, 387, 459, 59963, 7119, 757, 323, 430, 753, 14268, 7060, 719, 279, 9568, 602, 617, 1047, 3403, 323, 1180, 1093, 459, 59963, 1202, 682, 315, 264, 11210, 539, 17339, 128001, -100, 10343, 28508, 449, 34496, 435, 3768, 21387, 198, 15218, 198, 42144, 512, 2276, 10687, 527, 11075, 555, 1690, 9547, 13, 578, 21977, 374, 311, 2035, 4606, 520, 279, 4219, 323, 279, 4892, 53727, 520, 279, 1948, 13, 3296, 25012, 459, 3158, 304, 279, 4219, 11, 279, 2472, 25214, 374, 66084, 287, 1202, 12939, 11, 16280, 1202, 39239, 2786, 13, 42209, 89493, 4284, 264, 2204, 743, 315, 2819, 323, 279, 13336, 315, 2204, 30601, 627, 12, 10441, 4078, 512, 12, 50015, 9878, 198, 12, 24749, 9580, 512, 12, 220, 21, 11, 220, 22, 11, 220, 23, 198, 12, 65818, 512, 12, 4435, 11346, 58237, 279, 9939, 300, 198, 12, 10067, 512, 12, 4435, 198, 12, 4212, 26572, 512, 12, 4435, 11346, 58237, 279, 9939, 300, 128001, -100, 791, 12399, 315, 264, 11191, 3723, 19687, 15813, 6004, 420, 2046, 45537, 584, 3207, 304, 19662, 12544, 1109, 584, 3463, 627, 35, 2453, 780, 3823, 51877, 2656, 4442, 311, 279, 5933, 1917, 617, 19543, 304, 264, 3610, 6136, 323, 10065, 9606, 1457, 520, 5326, 315, 52609, 627, 43057, 1005, 2349, 11, 40761, 315, 5070, 323, 10182, 2349, 617, 1027, 14618, 311, 439, 3682, 20965, 311, 420, 4814, 627, 4071, 1418, 50120, 259, 33214, 323, 53103, 92822, 3663, 810, 14247, 15635, 11, 1070, 753, 1790, 520, 18783, 369, 22706, 13, 578, 15813, 3585, 311, 264, 3831, 3717, 1990, 279, 4814, 315, 73119, 323, 3823, 1664, 33851, 627, 43057, 53568, 323, 279, 18174, 315, 40558, 40250, 31665, 13, 578, 4814, 315, 51296, 299, 2396, 12992, 279, 6140, 315, 39262, 627, 4164, 706, 1027, 810, 22520, 304, 1023, 5789, 315, 279, 1917, 13, 2030, 584, 527, 20781, 22852, 627, 39787, 1203, 311, 7493, 315, 41420, 779, 81826, 11, 2362, 2442, 68997, 92307, 814, 1436, 4321, 389, 872, 28678, 13, 24702, 430, 311, 279, 71075, 315, 279, 46175, 1982, 3432, 13, 21829, 279, 55274, 5647, 449, 902, 584, 1457, 8071, 279, 7474, 18057, 11, 514, 727, 315, 279, 16603, 323, 24767, 430, 2643, 11422, 1523, 627, 644, 220, 679, 23, 7636, 11, 1070, 1051, 25114, 8798, 58365, 4028, 4606, 323, 36664, 13936, 11, 1418, 4892, 5270, 75440, 61272, 323, 99482, 13, 3011, 5497, 3250, 1431, 5101, 311, 387, 10223, 627, 2520, 2288, 1317, 584, 4070, 11846, 304, 2731, 479, 555, 15652, 323, 430, 279, 1917, 584, 7020, 690, 2744, 387, 449, 603, 627, 4071, 279, 14248, 2019, 430, 374, 912, 5129, 779, 13, 15583, 1413, 3463, 323, 1957, 374, 4460, 311, 3665, 279, 5933, 1917, 323, 304, 3815, 779, 11, 3041, 264, 11039, 6140, 369, 12966, 439, 1664, 627, 3923, 527, 701, 11555, 30, 11244, 603, 264, 6661, 4669, 2613, 555, 18965, 1618, 477, 1772, 264, 4068, 3770, 13, 128001, -100, 1622, 2802, 4478, 369, 2875, 4751, 27512, 27460, 617, 93342, 505, 13750, 7315, 311, 220, 2031, 32280, 927, 279, 1566, 2478, 4038, 627, 46510, 11, 279, 7140, 596, 7928, 55935, 315, 27512, 27460, 11, 706, 22340, 37958, 58750, 439, 459, 55935, 369, 264, 4261, 315, 30335, 4038, 627, 2460, 1122, 89, 706, 4529, 264, 23413, 18783, 304, 15155, 7528, 12205, 6783, 18099, 72094, 439, 433, 26737, 311, 2567, 3839, 315, 279, 85385, 4842, 10706, 627, 47, 20741, 11, 264, 293, 17, 65, 85243, 328, 65710, 1212, 5352, 7376, 264, 400, 18, 13, 17, 44, 11378, 362, 6197, 555, 426, 37432, 75896, 11, 449, 20852, 505, 12531, 23663, 627, 19931, 34605, 3196, 2678, 2883, 11941, 5452, 735, 373, 78, 706, 9408, 400, 16, 13, 17, 76, 304, 26255, 11006, 6197, 555, 45721, 30693, 507, 4355, 83531, 278, 627, 791, 220, 679, 20, 46627, 1934, 5039, 430, 279, 4430, 315, 1274, 2085, 2890, 8276, 19284, 304, 220, 2491, 5415, 8844, 311, 220, 679, 19, 627, 14783, 374, 3411, 369, 8276, 8717, 369, 1063, 315, 1202, 9873, 2737, 40005, 627, 36978, 41424, 1268, 6505, 11, 8515, 1752, 14507, 527, 3339, 433, 8831, 369, 279, 33012, 6696, 430, 17135, 459, 9974, 5476, 62421, 14135, 627, 2232, 22321, 41424, 279, 17509, 5064, 315, 1672, 1711, 53098, 323, 47710, 627, 2599, 6061, 706, 2834, 264, 33108, 14433, 300, 6150, 315, 8184, 426, 95895, 10292, 627, 84281, 39909, 15083, 53431, 753, 5295, 19177, 71474, 7813, 391, 2223, 34864, 482, 10926, 5380, 96088, 3196, 19160, 6373, 3241, 2883, 3623, 4341, 706, 9408, 459, 400, 23, 13, 20, 76, 11378, 426, 6197, 555, 3778, 12517, 75896, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 40519, 315, 66726, 50935, 1968, 27972, 369, 549, 11419, 81, 323, 12250, 84, 1708, 34398, 271, 52, 6713, 2411, 9319, 89376, 2411, 320, 52, 11419, 81, 8, 323, 80770, 2411, 33207, 332, 90344, 89, 89376, 2411, 320, 52, 9483, 84, 11419, 81, 8, 95851, 527, 26455, 46258, 10633, 7739, 369, 1828, 43927, 5043, 71573, 4245, 311, 872, 1695, 29487, 7710, 6012, 11, 1579, 95159, 458, 17915, 323, 40308, 11595, 11, 439, 1664, 439, 872, 95358, 304, 1380, 7129, 287, 1063, 1317, 62954, 69551, 19031, 304, 7543, 40373, 510, 16, 948, 12220, 264, 38729, 5784, 11, 279, 9546, 315, 264, 29487, 20779, 323, 25407, 649, 9570, 279, 46964, 51720, 3235, 279, 57936, 5216, 315, 264, 10633, 21236, 320, 15476, 705, 264, 25885, 61937, 439, 75164, 72160, 510, 16, 948, 1789, 3187, 11, 5199, 75164, 72160, 706, 1027, 13468, 304, 2225, 264, 549, 605, 57, 81, 10633, 320, 39870, 9932, 22009, 11, 279, 10633, 62644, 527, 682, 304, 4785, 3346, 304, 420, 5684, 8, 510, 17, 60, 323, 264, 549, 12, 777, 77462, 12, 605, 57, 81, 10633, 510, 18, 948, 763, 4689, 11, 1901, 81, 9971, 988, 7119, 279, 80005, 10633, 21236, 4219, 1418, 549, 9971, 988, 7119, 279, 76214, 29539, 5654, 3235, 279, 57936, 5216, 315, 264, 10633, 21236, 13, 1442, 279, 10633, 5727, 22989, 11, 11383, 433, 1587, 539, 45666, 1633, 1790, 13, 1666, 264, 1121, 11, 1901, 81, 9221, 69671, 520, 279, 10633, 21236, 4219, 1418, 549, 9221, 69671, 304, 279, 55275, 660, 5654, 13, 578, 10824, 315, 75164, 72160, 323, 23851, 315, 279, 9499, 320, 24567, 311, 279, 29487, 20779, 8, 649, 7958, 279, 10633, 29487, 7710, 7865, 12207, 13, 47893, 750, 11, 433, 706, 1027, 11075, 430, 279, 29487, 6929, 43479, 315, 549, 11419, 81, 323, 549, 9483, 84, 11419, 81, 95851, 6904, 389, 2225, 46964, 18528, 323, 9499, 510, 19, 11, 220, 20, 948, 1102, 574, 1766, 430, 279, 29487, 6929, 43479, 315, 1521, 95851, 5376, 449, 279, 7859, 9499, 11, 19392, 430, 1949, 57678, 527, 279, 1925, 8798, 35991, 13, 11050, 315, 13687, 4211, 430, 649, 7168, 279, 29487, 6929, 43479, 520, 2204, 62644, 323, 20472, 527, 3062, 369, 52997, 279, 29487, 7710, 7865, 11, 10633, 55307, 11, 10633, 75164, 72160, 11, 439, 1664, 439, 1023, 10633, 5178, 6012, 304, 1521, 46258, 40373, 13, 25122, 279, 2326, 6011, 315, 12634, 11, 38544, 12634, 21844, 77349, 323, 44220, 320, 4031, 44421, 8, 6826, 374, 22815, 11469, 10633, 5178, 14236, 369, 5043, 38729, 40373, 304, 8014, 44421, 66994, 1778, 439, 386, 2227, 354, 323, 89143, 13, 578, 4500, 315, 15062, 29487, 98971, 4211, 369, 549, 6108, 46258, 40373, 690, 7995, 1862, 1778, 9045, 13, 763, 420, 5684, 11, 584, 3118, 1057, 3293, 9045, 304, 11469, 18768, 12, 3342, 67966, 29487, 98971, 4211, 369, 549, 6108, 46258, 40373, 13, 10541, 279, 17139, 5915, 374, 311, 2274, 264, 1646, 369, 549, 9483, 84, 11419, 81, 72717, 661, 95851, 11, 439, 279, 1176, 3094, 584, 5357, 389, 8026, 95851, 11, 602, 1770, 2637, 549, 11419, 81, 323, 549, 9483, 84, 13, 578, 29487, 98971, 1646, 369, 279, 549, 11419, 81, 95851, 706, 1027, 7946, 8040, 6051, 555, 279, 3118, 12283, 510, 21, 948, 763, 12593, 449, 3766, 4211, 4756, 304, 17649, 11, 1057, 1646, 706, 18637, 304, 3738, 9499, 323, 18528, 436, 1154, 11, 2737, 279, 62644, 430, 527, 9959, 311, 279, 5043, 38729, 40373, 320, 68, 1326, 2637, 220, 20, 1389, 220, 605, 4, 57, 81, 570, 42096, 11, 279, 1646, 706, 1027, 11838, 311, 549, 9483, 84, 95851, 439, 7633, 3770, 13, 763, 279, 3938, 11, 279, 1646, 690, 387, 11838, 311, 72717, 661, 95851, 13, 128001, 128000, 36500, 11383, 12302, 449, 264, 3488, 13, 1102, 1253, 387, 25, 1054, 4438, 690, 69522, 10519, 264, 78216, 10173, 389, 1317, 65483, 25664, 12671, 2582, 1054, 4438, 649, 279, 1648, 37182, 527, 1903, 387, 13241, 555, 21630, 1124, 304, 3634, 12671, 4314, 527, 1120, 1403, 315, 279, 4860, 12074, 6056, 311, 4320, 449, 279, 14827, 7195, 315, 502, 3495, 11, 5557, 44895, 11, 323, 8518, 3956, 19946, 311, 1057, 5016, 8162, 71891, 27692, 27605, 287, 9420, 627, 62066, 5829, 279, 3634, 39490, 4676, 311, 4726, 1057, 8830, 315, 1268, 311, 7946, 3974, 323, 990, 304, 3634, 13, 4314, 3634, 21896, 1520, 603, 3619, 279, 6372, 315, 25407, 11, 8162, 71891, 323, 1023, 9547, 389, 2324, 323, 7106, 6067, 13, 1102, 374, 1101, 459, 3062, 13189, 304, 8830, 1268, 311, 14201, 2324, 389, 279, 17781, 323, 9778, 21725, 627, 1966, 6740, 11, 6664, 220, 17, 11, 220, 2366, 15, 11, 520, 220, 24, 25, 845, 281, 749, 13, 49023, 11, 502, 3634, 21896, 323, 264, 502, 3634, 27306, 11887, 389, 4892, 897, 2895, 372, 1543, 753, 220, 975, 339, 8518, 594, 85023, 9131, 369, 279, 9266, 311, 279, 7327, 11746, 17040, 627, 97406, 315, 279, 90623, 420, 9131, 690, 387, 24944, 311, 12178, 1057, 8830, 315, 63711, 323, 28479, 23199, 320, 33, 5119, 8, 2997, 512, 1090, 60637, 264, 502, 19641, 311, 279, 3634, 8216, 13, 59250, 617, 13375, 264, 1396, 315, 7978, 389, 11469, 5627, 311, 8356, 3691, 304, 3634, 323, 1520, 14201, 43160, 389, 1317, 65483, 25664, 11, 2737, 1884, 311, 279, 17781, 323, 21725, 13, 30013, 21896, 617, 15042, 2204, 4595, 315, 1095, 25506, 1634, 323, 52011, 37606, 279, 3634, 8216, 13, 578, 37357, 315, 18878, 37842, 5273, 323, 34871, 13831, 315, 11746, 2427, 4935, 50298, 320, 55747, 99688, 12, 2437, 8, 8990, 11621, 9038, 21168, 311, 279, 6651, 11, 17684, 65383, 19595, 311, 1518, 1268, 2204, 3177, 323, 17614, 4787, 7958, 6650, 13, 1115, 1646, 6136, 374, 78216, 11, 28815, 6288, 320, 1458, 398, 3116, 5672, 505, 274, 24060, 311, 24322, 705, 323, 374, 52033, 4528, 311, 10989, 307, 33906, 11, 264, 6136, 14134, 20041, 304, 8162, 71891, 13, 7531, 826, 1436, 1520, 30536, 6650, 315, 279, 11012, 304, 3634, 439, 1664, 439, 3493, 459, 15813, 315, 872, 26677, 323, 12945, 13, 39616, 37164, 82, 690, 67632, 1403, 31665, 315, 9038, 21168, 449, 264, 5915, 315, 7982, 220, 508, 11012, 1855, 892, 627, 24350, 9151, 32758, 5557, 13, 3277, 31474, 21896, 304, 3634, 430, 1005, 44304, 15042, 304, 11586, 462, 25485, 11, 26984, 5448, 315, 279, 5208, 374, 264, 16595, 23099, 369, 8162, 71891, 2324, 8198, 13, 578, 828, 505, 279, 52939, 12, 4119, 8990, 22262, 311, 7417, 430, 32758, 23099, 323, 17210, 311, 264, 2731, 8830, 315, 24156, 14847, 311, 279, 59623, 315, 3634, 39490, 13, 578, 23099, 311, 6994, 810, 11944, 24654, 1701, 420, 5557, 1436, 3063, 311, 810, 54098, 315, 2849, 323, 20438, 5865, 11, 12899, 46045, 369, 94612, 323, 29149, 8522, 389, 9420, 627, 626, 664, 7169, 37182, 304, 3634, 13, 578, 22925, 2461, 12362, 264, 426, 45190, 304, 1369, 5962, 54787, 283, 645, 320, 30138, 7934, 8, 374, 264, 55564, 430, 649, 8798, 10688, 709, 311, 220, 16217, 32037, 320, 10132, 17, 59572, 8, 369, 264, 8205, 315, 7384, 8198, 21896, 11, 323, 690, 3493, 12074, 449, 264, 8147, 5507, 311, 2731, 3619, 323, 51187, 279, 50684, 323, 6573, 2461, 315, 87836, 48473, 13, 16532, 7934, 374, 24026, 4871, 279, 18654, 71891, 10170, 25372, 588, 2054, 320, 20146, 705, 323, 220, 18, 22146, 50701, 26453, 617, 14827, 16532, 7934, 21896, 13, 19757, 6445, 826, 527, 1903, 555, 51513, 14812, 9501, 1139, 264, 29561, 323, 1243, 28015, 2225, 279, 29561, 323, 14812, 9501, 3156, 279, 14812, 9221, 264, 6573, 961, 13, 3277, 279, 9501, 9221, 6573, 11, 264, 9320, 2663, 6573, 2461, 11, 279, 33299, 31993, 5694, 1139, 11990, 315, 48473, 13, 1115, 374, 264, 6485, 1920, 430, 3629, 18065, 10223, 6211, 505, 459, 74595, 660, 27367, 26110, 11, 2663, 3330, 277, 11, 311, 264, 4883, 261, 27367, 26110, 11, 2663, 3312, 689, 52419, 13, 1115, 374, 2663, 264, 3330, 277, 4791, 63359, 689, 52419, 9320, 13, 578, 6211, 315, 1521, 48473, 25949, 279, 8333, 323, 19569, 315, 6445, 5596, 13, 578, 5915, 315, 279, 13756, 315, 1221, 80298, 389, 279, 9516, 277, 4791, 13737, 84722, 52419, 38821, 304, 61430, 22925, 2461, 320, 30138, 7934, 7813, 44267, 1971, 8, 8990, 374, 311, 7417, 279, 8830, 315, 279, 3330, 277, 4791, 63359, 689, 52419, 9320, 2391, 6573, 2461, 315, 9501, 95851, 13, 128001, 128000, 198, 23083, 61582, 11, 220, 2137, 11, 2834, 813, 1162, 2403, 8930, 37523, 579, 10289, 520, 25715, 14189, 5590, 2768, 264, 3116, 1938, 9269, 627, 12555, 61582, 11, 505, 32446, 1729, 11, 690, 3432, 4048, 1268, 1790, 20448, 568, 690, 387, 22034, 627, 2409, 264, 3925, 315, 10723, 2890, 5435, 2737, 58533, 5029, 1203, 311, 220, 2550, 21, 11, 4491, 61582, 574, 1766, 55063, 279, 14708, 555, 264, 4333, 389, 279, 11714, 315, 6186, 220, 23, 11, 220, 1049, 21, 627, 1548, 1047, 4529, 459, 60553, 315, 32031, 24099, 323, 29850, 264, 92469, 315, 66155, 627, 32, 4333, 3952, 4491, 61582, 1203, 311, 813, 3838, 11, 389, 4987, 403, 9728, 11, 15354, 273, 627, 1548, 574, 42642, 520, 279, 22199, 315, 13490, 813, 2911, 555, 813, 506, 83935, 4737, 1124, 311, 5270, 627, 18433, 315, 813, 17432, 11, 323, 520, 813, 1715, 11, 813, 8427, 2663, 369, 459, 51632, 11, 323, 439, 5410, 6725, 304, 1778, 5157, 11, 279, 5793, 1101, 67769, 279, 4379, 13, 12220, 279, 5590, 11011, 1566, 2046, 11, 433, 574, 10711, 430, 4491, 61582, 1047, 2586, 704, 315, 279, 3838, 48655, 11737, 627, 12555, 61582, 574, 78721, 449, 10211, 6962, 555, 264, 4379, 9640, 323, 574, 1243, 37993, 323, 4529, 311, 8952, 627, 791, 29011, 519, 10711, 279, 9640, 1511, 279, 6962, 1093, 23749, 6308, 11, 94577, 1113, 813, 15447, 323, 20252, 813, 3663, 11, 13272, 11, 25212, 11, 1203, 11, 15489, 323, 14535, 627, 16366, 30844, 1960, 11497, 430, 568, 1047, 1027, 10168, 813, 6206, 704, 304, 21142, 323, 9204, 568, 37260, 912, 6023, 627, 791, 21928, 1766, 430, 279, 3392, 315, 5457, 1511, 389, 4491, 61582, 574, 59525, 627, 50, 7918, 1960, 358, 467, 85431, 11, 14393, 4491, 61582, 11, 1071, 25, 1054, 2028, 1162, 374, 264, 38246, 27626, 311, 4379, 9808, 430, 10211, 6962, 374, 264, 36875, 10500, 430, 1288, 1193, 387, 27167, 994, 459, 9640, 374, 17011, 449, 9349, 477, 6023, 315, 9349, 627, 2118, 1966, 19163, 279, 9640, 574, 3309, 323, 39764, 505, 4491, 61582, 753, 17432, 430, 568, 574, 34325, 5986, 323, 4460, 1520, 627, 2118, 31140, 813, 6299, 92541, 264, 36301, 6671, 323, 1193, 10434, 311, 11682, 4491, 61582, 627, 17818, 25930, 1972, 10742, 439, 311, 279, 6299, 315, 279, 9640, 430, 3814, 323, 279, 41228, 2826, 315, 4967, 304, 279, 1005, 315, 10211, 6962, 113068, 128001, 128000, 198, 6349, 36233, 38122, 198, 50, 11960, 12, 16, 3910, 39, 8724, 198, 17000, 8027, 845, 198, 12, 3468, 36233, 38122, 512, 12, 220, 15, 37386, 34, 198, 12, 7639, 36233, 38122, 512, 12, 220, 1399, 37386, 34, 198, 12, 4078, 315, 70966, 512, 12, 54727, 31971, 11579, 14904, 198, 12, 16835, 512, 12, 386, 5241, 64, 198, 22386, 15999, 13, 5332, 198, 50, 11960, 12, 16, 3910, 39, 8724, 9469, 198, 17000, 8027, 1114, 198, 12, 3468, 36233, 38122, 512, 12, 482, 1272, 37386, 34, 198, 12, 4078, 315, 70966, 512, 12, 54727, 31971, 11579, 14904, 198, 12, 7639, 36233, 38122, 512, 12, 220, 5313, 37386, 34, 198, 12, 16835, 512, 12, 386, 5241, 64, 198, 22386, 12166, 13, 1682, 128001 ]
[ -100, 40519, 315, 66726, 50935, 1968, 27972, 369, 549, 11419, 81, 323, 12250, 84, 1708, 34398, 271, 52, 6713, 2411, 9319, 89376, 2411, 320, 52, 11419, 81, 8, 323, 80770, 2411, 33207, 332, 90344, 89, 89376, 2411, 320, 52, 9483, 84, 11419, 81, 8, 95851, 527, 26455, 46258, 10633, 7739, 369, 1828, 43927, 5043, 71573, 4245, 311, 872, 1695, 29487, 7710, 6012, 11, 1579, 95159, 458, 17915, 323, 40308, 11595, 11, 439, 1664, 439, 872, 95358, 304, 1380, 7129, 287, 1063, 1317, 62954, 69551, 19031, 304, 7543, 40373, 510, 16, 948, 12220, 264, 38729, 5784, 11, 279, 9546, 315, 264, 29487, 20779, 323, 25407, 649, 9570, 279, 46964, 51720, 3235, 279, 57936, 5216, 315, 264, 10633, 21236, 320, 15476, 705, 264, 25885, 61937, 439, 75164, 72160, 510, 16, 948, 1789, 3187, 11, 5199, 75164, 72160, 706, 1027, 13468, 304, 2225, 264, 549, 605, 57, 81, 10633, 320, 39870, 9932, 22009, 11, 279, 10633, 62644, 527, 682, 304, 4785, 3346, 304, 420, 5684, 8, 510, 17, 60, 323, 264, 549, 12, 777, 77462, 12, 605, 57, 81, 10633, 510, 18, 948, 763, 4689, 11, 1901, 81, 9971, 988, 7119, 279, 80005, 10633, 21236, 4219, 1418, 549, 9971, 988, 7119, 279, 76214, 29539, 5654, 3235, 279, 57936, 5216, 315, 264, 10633, 21236, 13, 1442, 279, 10633, 5727, 22989, 11, 11383, 433, 1587, 539, 45666, 1633, 1790, 13, 1666, 264, 1121, 11, 1901, 81, 9221, 69671, 520, 279, 10633, 21236, 4219, 1418, 549, 9221, 69671, 304, 279, 55275, 660, 5654, 13, 578, 10824, 315, 75164, 72160, 323, 23851, 315, 279, 9499, 320, 24567, 311, 279, 29487, 20779, 8, 649, 7958, 279, 10633, 29487, 7710, 7865, 12207, 13, 47893, 750, 11, 433, 706, 1027, 11075, 430, 279, 29487, 6929, 43479, 315, 549, 11419, 81, 323, 549, 9483, 84, 11419, 81, 95851, 6904, 389, 2225, 46964, 18528, 323, 9499, 510, 19, 11, 220, 20, 948, 1102, 574, 1766, 430, 279, 29487, 6929, 43479, 315, 1521, 95851, 5376, 449, 279, 7859, 9499, 11, 19392, 430, 1949, 57678, 527, 279, 1925, 8798, 35991, 13, 11050, 315, 13687, 4211, 430, 649, 7168, 279, 29487, 6929, 43479, 520, 2204, 62644, 323, 20472, 527, 3062, 369, 52997, 279, 29487, 7710, 7865, 11, 10633, 55307, 11, 10633, 75164, 72160, 11, 439, 1664, 439, 1023, 10633, 5178, 6012, 304, 1521, 46258, 40373, 13, 25122, 279, 2326, 6011, 315, 12634, 11, 38544, 12634, 21844, 77349, 323, 44220, 320, 4031, 44421, 8, 6826, 374, 22815, 11469, 10633, 5178, 14236, 369, 5043, 38729, 40373, 304, 8014, 44421, 66994, 1778, 439, 386, 2227, 354, 323, 89143, 13, 578, 4500, 315, 15062, 29487, 98971, 4211, 369, 549, 6108, 46258, 40373, 690, 7995, 1862, 1778, 9045, 13, 763, 420, 5684, 11, 584, 3118, 1057, 3293, 9045, 304, 11469, 18768, 12, 3342, 67966, 29487, 98971, 4211, 369, 549, 6108, 46258, 40373, 13, 10541, 279, 17139, 5915, 374, 311, 2274, 264, 1646, 369, 549, 9483, 84, 11419, 81, 72717, 661, 95851, 11, 439, 279, 1176, 3094, 584, 5357, 389, 8026, 95851, 11, 602, 1770, 2637, 549, 11419, 81, 323, 549, 9483, 84, 13, 578, 29487, 98971, 1646, 369, 279, 549, 11419, 81, 95851, 706, 1027, 7946, 8040, 6051, 555, 279, 3118, 12283, 510, 21, 948, 763, 12593, 449, 3766, 4211, 4756, 304, 17649, 11, 1057, 1646, 706, 18637, 304, 3738, 9499, 323, 18528, 436, 1154, 11, 2737, 279, 62644, 430, 527, 9959, 311, 279, 5043, 38729, 40373, 320, 68, 1326, 2637, 220, 20, 1389, 220, 605, 4, 57, 81, 570, 42096, 11, 279, 1646, 706, 1027, 11838, 311, 549, 9483, 84, 95851, 439, 7633, 3770, 13, 763, 279, 3938, 11, 279, 1646, 690, 387, 11838, 311, 72717, 661, 95851, 13, 128001, -100, 36500, 11383, 12302, 449, 264, 3488, 13, 1102, 1253, 387, 25, 1054, 4438, 690, 69522, 10519, 264, 78216, 10173, 389, 1317, 65483, 25664, 12671, 2582, 1054, 4438, 649, 279, 1648, 37182, 527, 1903, 387, 13241, 555, 21630, 1124, 304, 3634, 12671, 4314, 527, 1120, 1403, 315, 279, 4860, 12074, 6056, 311, 4320, 449, 279, 14827, 7195, 315, 502, 3495, 11, 5557, 44895, 11, 323, 8518, 3956, 19946, 311, 1057, 5016, 8162, 71891, 27692, 27605, 287, 9420, 627, 62066, 5829, 279, 3634, 39490, 4676, 311, 4726, 1057, 8830, 315, 1268, 311, 7946, 3974, 323, 990, 304, 3634, 13, 4314, 3634, 21896, 1520, 603, 3619, 279, 6372, 315, 25407, 11, 8162, 71891, 323, 1023, 9547, 389, 2324, 323, 7106, 6067, 13, 1102, 374, 1101, 459, 3062, 13189, 304, 8830, 1268, 311, 14201, 2324, 389, 279, 17781, 323, 9778, 21725, 627, 1966, 6740, 11, 6664, 220, 17, 11, 220, 2366, 15, 11, 520, 220, 24, 25, 845, 281, 749, 13, 49023, 11, 502, 3634, 21896, 323, 264, 502, 3634, 27306, 11887, 389, 4892, 897, 2895, 372, 1543, 753, 220, 975, 339, 8518, 594, 85023, 9131, 369, 279, 9266, 311, 279, 7327, 11746, 17040, 627, 97406, 315, 279, 90623, 420, 9131, 690, 387, 24944, 311, 12178, 1057, 8830, 315, 63711, 323, 28479, 23199, 320, 33, 5119, 8, 2997, 512, 1090, 60637, 264, 502, 19641, 311, 279, 3634, 8216, 13, 59250, 617, 13375, 264, 1396, 315, 7978, 389, 11469, 5627, 311, 8356, 3691, 304, 3634, 323, 1520, 14201, 43160, 389, 1317, 65483, 25664, 11, 2737, 1884, 311, 279, 17781, 323, 21725, 13, 30013, 21896, 617, 15042, 2204, 4595, 315, 1095, 25506, 1634, 323, 52011, 37606, 279, 3634, 8216, 13, 578, 37357, 315, 18878, 37842, 5273, 323, 34871, 13831, 315, 11746, 2427, 4935, 50298, 320, 55747, 99688, 12, 2437, 8, 8990, 11621, 9038, 21168, 311, 279, 6651, 11, 17684, 65383, 19595, 311, 1518, 1268, 2204, 3177, 323, 17614, 4787, 7958, 6650, 13, 1115, 1646, 6136, 374, 78216, 11, 28815, 6288, 320, 1458, 398, 3116, 5672, 505, 274, 24060, 311, 24322, 705, 323, 374, 52033, 4528, 311, 10989, 307, 33906, 11, 264, 6136, 14134, 20041, 304, 8162, 71891, 13, 7531, 826, 1436, 1520, 30536, 6650, 315, 279, 11012, 304, 3634, 439, 1664, 439, 3493, 459, 15813, 315, 872, 26677, 323, 12945, 13, 39616, 37164, 82, 690, 67632, 1403, 31665, 315, 9038, 21168, 449, 264, 5915, 315, 7982, 220, 508, 11012, 1855, 892, 627, 24350, 9151, 32758, 5557, 13, 3277, 31474, 21896, 304, 3634, 430, 1005, 44304, 15042, 304, 11586, 462, 25485, 11, 26984, 5448, 315, 279, 5208, 374, 264, 16595, 23099, 369, 8162, 71891, 2324, 8198, 13, 578, 828, 505, 279, 52939, 12, 4119, 8990, 22262, 311, 7417, 430, 32758, 23099, 323, 17210, 311, 264, 2731, 8830, 315, 24156, 14847, 311, 279, 59623, 315, 3634, 39490, 13, 578, 23099, 311, 6994, 810, 11944, 24654, 1701, 420, 5557, 1436, 3063, 311, 810, 54098, 315, 2849, 323, 20438, 5865, 11, 12899, 46045, 369, 94612, 323, 29149, 8522, 389, 9420, 627, 626, 664, 7169, 37182, 304, 3634, 13, 578, 22925, 2461, 12362, 264, 426, 45190, 304, 1369, 5962, 54787, 283, 645, 320, 30138, 7934, 8, 374, 264, 55564, 430, 649, 8798, 10688, 709, 311, 220, 16217, 32037, 320, 10132, 17, 59572, 8, 369, 264, 8205, 315, 7384, 8198, 21896, 11, 323, 690, 3493, 12074, 449, 264, 8147, 5507, 311, 2731, 3619, 323, 51187, 279, 50684, 323, 6573, 2461, 315, 87836, 48473, 13, 16532, 7934, 374, 24026, 4871, 279, 18654, 71891, 10170, 25372, 588, 2054, 320, 20146, 705, 323, 220, 18, 22146, 50701, 26453, 617, 14827, 16532, 7934, 21896, 13, 19757, 6445, 826, 527, 1903, 555, 51513, 14812, 9501, 1139, 264, 29561, 323, 1243, 28015, 2225, 279, 29561, 323, 14812, 9501, 3156, 279, 14812, 9221, 264, 6573, 961, 13, 3277, 279, 9501, 9221, 6573, 11, 264, 9320, 2663, 6573, 2461, 11, 279, 33299, 31993, 5694, 1139, 11990, 315, 48473, 13, 1115, 374, 264, 6485, 1920, 430, 3629, 18065, 10223, 6211, 505, 459, 74595, 660, 27367, 26110, 11, 2663, 3330, 277, 11, 311, 264, 4883, 261, 27367, 26110, 11, 2663, 3312, 689, 52419, 13, 1115, 374, 2663, 264, 3330, 277, 4791, 63359, 689, 52419, 9320, 13, 578, 6211, 315, 1521, 48473, 25949, 279, 8333, 323, 19569, 315, 6445, 5596, 13, 578, 5915, 315, 279, 13756, 315, 1221, 80298, 389, 279, 9516, 277, 4791, 13737, 84722, 52419, 38821, 304, 61430, 22925, 2461, 320, 30138, 7934, 7813, 44267, 1971, 8, 8990, 374, 311, 7417, 279, 8830, 315, 279, 3330, 277, 4791, 63359, 689, 52419, 9320, 2391, 6573, 2461, 315, 9501, 95851, 13, 128001, -100, 198, 23083, 61582, 11, 220, 2137, 11, 2834, 813, 1162, 2403, 8930, 37523, 579, 10289, 520, 25715, 14189, 5590, 2768, 264, 3116, 1938, 9269, 627, 12555, 61582, 11, 505, 32446, 1729, 11, 690, 3432, 4048, 1268, 1790, 20448, 568, 690, 387, 22034, 627, 2409, 264, 3925, 315, 10723, 2890, 5435, 2737, 58533, 5029, 1203, 311, 220, 2550, 21, 11, 4491, 61582, 574, 1766, 55063, 279, 14708, 555, 264, 4333, 389, 279, 11714, 315, 6186, 220, 23, 11, 220, 1049, 21, 627, 1548, 1047, 4529, 459, 60553, 315, 32031, 24099, 323, 29850, 264, 92469, 315, 66155, 627, 32, 4333, 3952, 4491, 61582, 1203, 311, 813, 3838, 11, 389, 4987, 403, 9728, 11, 15354, 273, 627, 1548, 574, 42642, 520, 279, 22199, 315, 13490, 813, 2911, 555, 813, 506, 83935, 4737, 1124, 311, 5270, 627, 18433, 315, 813, 17432, 11, 323, 520, 813, 1715, 11, 813, 8427, 2663, 369, 459, 51632, 11, 323, 439, 5410, 6725, 304, 1778, 5157, 11, 279, 5793, 1101, 67769, 279, 4379, 13, 12220, 279, 5590, 11011, 1566, 2046, 11, 433, 574, 10711, 430, 4491, 61582, 1047, 2586, 704, 315, 279, 3838, 48655, 11737, 627, 12555, 61582, 574, 78721, 449, 10211, 6962, 555, 264, 4379, 9640, 323, 574, 1243, 37993, 323, 4529, 311, 8952, 627, 791, 29011, 519, 10711, 279, 9640, 1511, 279, 6962, 1093, 23749, 6308, 11, 94577, 1113, 813, 15447, 323, 20252, 813, 3663, 11, 13272, 11, 25212, 11, 1203, 11, 15489, 323, 14535, 627, 16366, 30844, 1960, 11497, 430, 568, 1047, 1027, 10168, 813, 6206, 704, 304, 21142, 323, 9204, 568, 37260, 912, 6023, 627, 791, 21928, 1766, 430, 279, 3392, 315, 5457, 1511, 389, 4491, 61582, 574, 59525, 627, 50, 7918, 1960, 358, 467, 85431, 11, 14393, 4491, 61582, 11, 1071, 25, 1054, 2028, 1162, 374, 264, 38246, 27626, 311, 4379, 9808, 430, 10211, 6962, 374, 264, 36875, 10500, 430, 1288, 1193, 387, 27167, 994, 459, 9640, 374, 17011, 449, 9349, 477, 6023, 315, 9349, 627, 2118, 1966, 19163, 279, 9640, 574, 3309, 323, 39764, 505, 4491, 61582, 753, 17432, 430, 568, 574, 34325, 5986, 323, 4460, 1520, 627, 2118, 31140, 813, 6299, 92541, 264, 36301, 6671, 323, 1193, 10434, 311, 11682, 4491, 61582, 627, 17818, 25930, 1972, 10742, 439, 311, 279, 6299, 315, 279, 9640, 430, 3814, 323, 279, 41228, 2826, 315, 4967, 304, 279, 1005, 315, 10211, 6962, 113068, 128001, -100, 198, 6349, 36233, 38122, 198, 50, 11960, 12, 16, 3910, 39, 8724, 198, 17000, 8027, 845, 198, 12, 3468, 36233, 38122, 512, 12, 220, 15, 37386, 34, 198, 12, 7639, 36233, 38122, 512, 12, 220, 1399, 37386, 34, 198, 12, 4078, 315, 70966, 512, 12, 54727, 31971, 11579, 14904, 198, 12, 16835, 512, 12, 386, 5241, 64, 198, 22386, 15999, 13, 5332, 198, 50, 11960, 12, 16, 3910, 39, 8724, 9469, 198, 17000, 8027, 1114, 198, 12, 3468, 36233, 38122, 512, 12, 482, 1272, 37386, 34, 198, 12, 4078, 315, 70966, 512, 12, 54727, 31971, 11579, 14904, 198, 12, 7639, 36233, 38122, 512, 12, 220, 5313, 37386, 34, 198, 12, 16835, 512, 12, 386, 5241, 64, 198, 22386, 12166, 13, 1682, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122 ]
[ 128000, 322, 3028, 320, 66, 8, 5210, 13332, 13, 2052, 3268, 4694, 627, 322, 10311, 1234, 279, 15210, 1914, 627, 322, 6247, 8066, 555, 5210, 320, 49, 8, 9156, 12698, 6247, 29458, 382, 1757, 470, 71340, 4810, 97931, 8347, 55366, 1382, 8399, 401, 475, 470, 71340, 4976, 5177, 87342, 280, 475, 470, 71340, 4976, 2013, 16981, 11978, 7547, 280, 475, 470, 28839, 26811, 5177, 96733, 280, 475, 470, 28839, 26811, 5177, 75569, 401, 3747, 9744, 42561, 3649, 13, 740, 31, 59990, 198, 898, 1620, 538, 12027, 5290, 7955, 341, 262, 571, 60422, 879, 1620, 8589, 7547, 6050, 284, 502, 8589, 7547, 41171, 5290, 7955, 3150, 629, 262, 9226, 257, 353, 12027, 9287, 4573, 198, 257, 740, 262, 571, 19616, 3764, 284, 330, 9416, 5290, 23533, 498, 2680, 284, 8472, 3128, 36745, 90148, 32363, 340, 262, 879, 935, 5211, 5290, 23533, 401, 262, 1583, 257, 353, 2175, 279, 5211, 5290, 23533, 3424, 25, 12027, 9287, 4573, 627, 257, 1235, 257, 353, 571, 693, 279, 5211, 5290, 23533, 907, 627, 257, 740, 262, 586, 935, 5211, 5290, 23533, 368, 341, 286, 471, 420, 24974, 5290, 23533, 280, 262, 557, 262, 1583, 257, 353, 98943, 279, 2937, 627, 257, 1235, 257, 353, 571, 8262, 22085, 15338, 422, 279, 2937, 374, 539, 2764, 627, 257, 740, 262, 586, 742, 9788, 368, 341, 262, 457, 534, 128001, 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 220, 16, 13, 16, 13, 17, 198, 5223, 62, 15, 25, 7860, 87063, 881, 12, 30183, 1135, 1680, 5560, 279, 4495, 4676, 3977, 311, 11388, 279, 5654, 264, 5195, 15161, 5830, 374, 4401, 304, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 358, 1518, 279, 4877, 27212, 220, 19, 66362, 4227, 11, 719, 279, 4984, 12775, 956, 1027, 4756, 389, 3060, 32104, 477, 47522, 13, 2209, 420, 11383, 264, 1579, 40370, 5784, 11, 374, 2555, 5076, 449, 279, 33762, 5380, 27, 11407, 18104, 29, 5223, 62, 17, 25, 2684, 574, 912, 4877, 11, 1120, 264, 6958, 1715, 2663, 330, 16, 13, 16, 13, 17, 3343, 358, 1205, 311, 4877, 433, 20684, 311, 1304, 264, 4984, 320, 45359, 430, 1314, 1457, 570, 4740, 433, 596, 38213, 11, 433, 596, 4661, 9888, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 1442, 701, 3488, 574, 922, 430, 11, 1243, 912, 11, 28675, 287, 264, 2373, 304, 6462, 4421, 1587, 539, 5353, 17392, 79253, 323, 28965, 320, 8248, 433, 596, 264, 1695, 4623, 27046, 883, 128001, 128000, 34814, 11, 279, 549, 815, 13, 7187, 374, 47397, 3682, 19739, 323, 22277, 38462, 29735, 430, 1436, 7958, 279, 7463, 315, 7931, 8173, 304, 34118, 264, 7076, 304, 94612, 3495, 13, 2057, 11322, 1202, 9131, 315, 18899, 2890, 11, 279, 5165, 73828, 315, 6401, 2011, 20927, 323, 5542, 19310, 7931, 369, 279, 94612, 32027, 13, 763, 420, 4007, 11, 584, 25078, 279, 16627, 9320, 7969, 304, 279, 94612, 36788, 555, 10026, 11, 7102, 11, 323, 57978, 11, 505, 1579, 2978, 311, 14584, 7076, 20124, 13, 12362, 264, 1396, 315, 16627, 32906, 11, 584, 27313, 10026, 323, 19739, 14, 81518, 13340, 520, 14595, 16627, 323, 7076, 69376, 665, 6149, 311, 22291, 31133, 304, 6160, 25111, 55103, 13, 1226, 1243, 20011, 2814, 56522, 31649, 5528, 311, 21635, 22291, 7076, 20124, 11, 1701, 279, 5165, 10170, 5114, 753, 24507, 315, 19150, 349, 4158, 48747, 13, 1226, 1505, 430, 1418, 34692, 1990, 69376, 527, 35947, 555, 10026, 323, 7102, 14, 81518, 488, 11, 279, 34692, 1990, 1579, 2978, 323, 7926, 323, 1990, 7926, 323, 19560, 2978, 527, 9200, 3585, 520, 902, 1234, 53859, 40804, 527, 5675, 505, 279, 94612, 15660, 11, 23377, 1063, 3230, 11811, 369, 4947, 21623, 627, 128001, 128000, 1966, 264, 9131, 311, 3665, 279, 5933, 1917, 449, 8198, 11, 18428, 11, 323, 6020, 19297, 627, 11126, 5253, 47601, 574, 18538, 311, 22118, 832, 315, 279, 1455, 9200, 11774, 13176, 2854, 70370, 25, 279, 19814, 315, 61951, 430, 1862, 2324, 627, 25503, 1457, 11, 7138, 706, 1027, 58191, 1534, 15871, 439, 7257, 3769, 13, 6104, 9498, 61951, 617, 459, 23205, 67739, 907, 11, 814, 617, 2697, 907, 304, 279, 6617, 8819, 535, 8752, 11, 13967, 6522, 311, 279, 92948, 315, 7138, 323, 5933, 5070, 389, 1057, 35326, 11841, 627, 3923, 422, 7138, 1436, 1101, 387, 33647, 369, 1202, 16595, 19564, 311, 1274, 11, 1093, 4335, 3805, 323, 10182, 19812, 30, 11579, 5253, 47601, 22262, 311, 6541, 279, 1510, 49340, 323, 84084, 553, 4363, 23840, 311, 6144, 279, 61951, 430, 1304, 420, 11841, 14464, 481, 627, 70656, 279, 1615, 2841, 3158, 315, 6484, 56594, 8194, 36658, 31550, 627, 11126, 5253, 47601, 753, 1925, 5915, 374, 311, 2274, 69311, 2626, 4211, 430, 1862, 7138, 29711, 13, 34763, 287, 6484, 56594, 8194, 36658, 374, 279, 1455, 7524, 17033, 1648, 311, 27365, 10182, 2349, 323, 73119, 4814, 627, 36227, 6762, 323, 4228, 2680, 311, 4363, 23840, 315, 682, 12562, 627, 12947, 311, 1057, 3728, 14434, 36047, 4211, 11, 584, 649, 3085, 43010, 11, 1949, 315, 6900, 11, 323, 11297, 4363, 15813, 13, 578, 3157, 4441, 30740, 527, 35146, 39920, 7863, 311, 12782, 7224, 13, 1115, 5825, 264, 5016, 6776, 311, 15806, 11, 78751, 11, 323, 4662, 389, 279, 1890, 5452, 627, 11331, 5127, 311, 6847, 17210, 323, 16136, 304, 22973, 7138, 627, 1383, 25976, 73473, 964, 439, 264, 11667, 304, 682, 7446, 14463, 1990, 1274, 65113, 288, 3502, 93778, 584, 1893, 264, 22556, 8752, 430, 39954, 15652, 449, 7138, 596, 17357, 13, 1226, 9395, 311, 26285, 7931, 11, 9873, 11, 4363, 23840, 311, 3719, 279, 6144, 1105, 315, 7138, 627, 1271, 907, 7138, 369, 810, 1109, 1120, 1202, 7257, 7384, 11, 11579, 9420, 5829, 24088, 41545, 4483, 21203, 449, 2466, 828, 28975, 323, 459, 2449, 315, 5780, 6975, 320, 2735, 8, 311, 7872, 279, 8547, 311, 902, 904, 2035, 389, 279, 11841, 91111, 7432, 17, 323, 33095, 1202, 2237, 315, 73119, 2890, 627, 11126, 5253, 47601, 706, 6288, 3719, 832, 315, 279, 26731, 56657, 44483, 304, 279, 7997, 35197, 3634, 13, 1226, 3207, 15320, 3411, 369, 1274, 14948, 555, 1057, 9131, 311, 5249, 1057, 2626, 11, 5557, 11, 323, 8198, 7411, 627, 74640, 2757, 555, 1057, 9131, 30, 16877, 279, 2128, 13, 128001 ]
[ -100, 322, 3028, 320, 66, 8, 5210, 13332, 13, 2052, 3268, 4694, 627, 322, 10311, 1234, 279, 15210, 1914, 627, 322, 6247, 8066, 555, 5210, 320, 49, 8, 9156, 12698, 6247, 29458, 382, 1757, 470, 71340, 4810, 97931, 8347, 55366, 1382, 8399, 401, 475, 470, 71340, 4976, 5177, 87342, 280, 475, 470, 71340, 4976, 2013, 16981, 11978, 7547, 280, 475, 470, 28839, 26811, 5177, 96733, 280, 475, 470, 28839, 26811, 5177, 75569, 401, 3747, 9744, 42561, 3649, 13, 740, 31, 59990, 198, 898, 1620, 538, 12027, 5290, 7955, 341, 262, 571, 60422, 879, 1620, 8589, 7547, 6050, 284, 502, 8589, 7547, 41171, 5290, 7955, 3150, 629, 262, 9226, 257, 353, 12027, 9287, 4573, 198, 257, 740, 262, 571, 19616, 3764, 284, 330, 9416, 5290, 23533, 498, 2680, 284, 8472, 3128, 36745, 90148, 32363, 340, 262, 879, 935, 5211, 5290, 23533, 401, 262, 1583, 257, 353, 2175, 279, 5211, 5290, 23533, 3424, 25, 12027, 9287, 4573, 627, 257, 1235, 257, 353, 571, 693, 279, 5211, 5290, 23533, 907, 627, 257, 740, 262, 586, 935, 5211, 5290, 23533, 368, 341, 286, 471, 420, 24974, 5290, 23533, 280, 262, 557, 262, 1583, 257, 353, 98943, 279, 2937, 627, 257, 1235, 257, 353, 571, 8262, 22085, 15338, 422, 279, 2937, 374, 539, 2764, 627, 257, 740, 262, 586, 742, 9788, 368, 341, 262, 457, 534, 128001, -100, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 220, 16, 13, 16, 13, 17, 198, 5223, 62, 15, 25, 7860, 87063, 881, 12, 30183, 1135, 1680, 5560, 279, 4495, 4676, 3977, 311, 11388, 279, 5654, 264, 5195, 15161, 5830, 374, 4401, 304, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 358, 1518, 279, 4877, 27212, 220, 19, 66362, 4227, 11, 719, 279, 4984, 12775, 956, 1027, 4756, 389, 3060, 32104, 477, 47522, 13, 2209, 420, 11383, 264, 1579, 40370, 5784, 11, 374, 2555, 5076, 449, 279, 33762, 5380, 27, 11407, 18104, 29, 5223, 62, 17, 25, 2684, 574, 912, 4877, 11, 1120, 264, 6958, 1715, 2663, 330, 16, 13, 16, 13, 17, 3343, 358, 1205, 311, 4877, 433, 20684, 311, 1304, 264, 4984, 320, 45359, 430, 1314, 1457, 570, 4740, 433, 596, 38213, 11, 433, 596, 4661, 9888, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 1442, 701, 3488, 574, 922, 430, 11, 1243, 912, 11, 28675, 287, 264, 2373, 304, 6462, 4421, 1587, 539, 5353, 17392, 79253, 323, 28965, 320, 8248, 433, 596, 264, 1695, 4623, 27046, 883, 128001, -100, 34814, 11, 279, 549, 815, 13, 7187, 374, 47397, 3682, 19739, 323, 22277, 38462, 29735, 430, 1436, 7958, 279, 7463, 315, 7931, 8173, 304, 34118, 264, 7076, 304, 94612, 3495, 13, 2057, 11322, 1202, 9131, 315, 18899, 2890, 11, 279, 5165, 73828, 315, 6401, 2011, 20927, 323, 5542, 19310, 7931, 369, 279, 94612, 32027, 13, 763, 420, 4007, 11, 584, 25078, 279, 16627, 9320, 7969, 304, 279, 94612, 36788, 555, 10026, 11, 7102, 11, 323, 57978, 11, 505, 1579, 2978, 311, 14584, 7076, 20124, 13, 12362, 264, 1396, 315, 16627, 32906, 11, 584, 27313, 10026, 323, 19739, 14, 81518, 13340, 520, 14595, 16627, 323, 7076, 69376, 665, 6149, 311, 22291, 31133, 304, 6160, 25111, 55103, 13, 1226, 1243, 20011, 2814, 56522, 31649, 5528, 311, 21635, 22291, 7076, 20124, 11, 1701, 279, 5165, 10170, 5114, 753, 24507, 315, 19150, 349, 4158, 48747, 13, 1226, 1505, 430, 1418, 34692, 1990, 69376, 527, 35947, 555, 10026, 323, 7102, 14, 81518, 488, 11, 279, 34692, 1990, 1579, 2978, 323, 7926, 323, 1990, 7926, 323, 19560, 2978, 527, 9200, 3585, 520, 902, 1234, 53859, 40804, 527, 5675, 505, 279, 94612, 15660, 11, 23377, 1063, 3230, 11811, 369, 4947, 21623, 627, 128001, -100, 1966, 264, 9131, 311, 3665, 279, 5933, 1917, 449, 8198, 11, 18428, 11, 323, 6020, 19297, 627, 11126, 5253, 47601, 574, 18538, 311, 22118, 832, 315, 279, 1455, 9200, 11774, 13176, 2854, 70370, 25, 279, 19814, 315, 61951, 430, 1862, 2324, 627, 25503, 1457, 11, 7138, 706, 1027, 58191, 1534, 15871, 439, 7257, 3769, 13, 6104, 9498, 61951, 617, 459, 23205, 67739, 907, 11, 814, 617, 2697, 907, 304, 279, 6617, 8819, 535, 8752, 11, 13967, 6522, 311, 279, 92948, 315, 7138, 323, 5933, 5070, 389, 1057, 35326, 11841, 627, 3923, 422, 7138, 1436, 1101, 387, 33647, 369, 1202, 16595, 19564, 311, 1274, 11, 1093, 4335, 3805, 323, 10182, 19812, 30, 11579, 5253, 47601, 22262, 311, 6541, 279, 1510, 49340, 323, 84084, 553, 4363, 23840, 311, 6144, 279, 61951, 430, 1304, 420, 11841, 14464, 481, 627, 70656, 279, 1615, 2841, 3158, 315, 6484, 56594, 8194, 36658, 31550, 627, 11126, 5253, 47601, 753, 1925, 5915, 374, 311, 2274, 69311, 2626, 4211, 430, 1862, 7138, 29711, 13, 34763, 287, 6484, 56594, 8194, 36658, 374, 279, 1455, 7524, 17033, 1648, 311, 27365, 10182, 2349, 323, 73119, 4814, 627, 36227, 6762, 323, 4228, 2680, 311, 4363, 23840, 315, 682, 12562, 627, 12947, 311, 1057, 3728, 14434, 36047, 4211, 11, 584, 649, 3085, 43010, 11, 1949, 315, 6900, 11, 323, 11297, 4363, 15813, 13, 578, 3157, 4441, 30740, 527, 35146, 39920, 7863, 311, 12782, 7224, 13, 1115, 5825, 264, 5016, 6776, 311, 15806, 11, 78751, 11, 323, 4662, 389, 279, 1890, 5452, 627, 11331, 5127, 311, 6847, 17210, 323, 16136, 304, 22973, 7138, 627, 1383, 25976, 73473, 964, 439, 264, 11667, 304, 682, 7446, 14463, 1990, 1274, 65113, 288, 3502, 93778, 584, 1893, 264, 22556, 8752, 430, 39954, 15652, 449, 7138, 596, 17357, 13, 1226, 9395, 311, 26285, 7931, 11, 9873, 11, 4363, 23840, 311, 3719, 279, 6144, 1105, 315, 7138, 627, 1271, 907, 7138, 369, 810, 1109, 1120, 1202, 7257, 7384, 11, 11579, 9420, 5829, 24088, 41545, 4483, 21203, 449, 2466, 828, 28975, 323, 459, 2449, 315, 5780, 6975, 320, 2735, 8, 311, 7872, 279, 8547, 311, 902, 904, 2035, 389, 279, 11841, 91111, 7432, 17, 323, 33095, 1202, 2237, 315, 73119, 2890, 627, 11126, 5253, 47601, 706, 6288, 3719, 832, 315, 279, 26731, 56657, 44483, 304, 279, 7997, 35197, 3634, 13, 1226, 3207, 15320, 3411, 369, 1274, 14948, 555, 1057, 9131, 311, 5249, 1057, 2626, 11, 5557, 11, 323, 8198, 7411, 627, 74640, 2757, 555, 1057, 9131, 30, 16877, 279, 2128, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 2688, 682, 315, 603, 264, 77850, 449, 11782, 1847, 6848, 11, 719, 1070, 527, 198, 325, 17998, 5627, 311, 733, 922, 6968, 264, 1847, 430, 690, 7945, 1524, 279, 198, 10551, 13744, 323, 1455, 44040, 1847, 15034, 627, 644, 420, 4652, 369, 13639, 11, 48299, 12404, 5721, 16964, 279, 13186, 1364, 5829, 311, 5268, 37072, 3953, 369, 279, 24978, 323, 13551, 1063, 10507, 505, 40395, 33929, 627, 38, 65821, 59994, 29060, 1148, 5900, 389, 994, 37072, 3953, 527, 198, 2656, 439, 264, 10696, 55180, 292, 3756, 627, 2028, 4652, 17135, 13639, 449, 2038, 430, 1253, 387, 5505, 304, 2731, 8830, 279, 7138, 315, 3953, 323, 872, 3560, 304, 12917, 323, 6975, 38696, 627, 2028, 4652, 11, 279, 2132, 304, 279, 4101, 11, 5992, 520, 1063, 2204, 4595, 315, 3953, 323, 279, 3460, 315, 37072, 7422, 814, 649, 2274, 627, 16323, 8446, 3953, 527, 8104, 14791, 439, 6041, 3585, 198, 2000, 26969, 13, 25640, 31655, 3210, 1456, 311, 7142, 264, 11230, 198, 63014, 11, 323, 6118, 279, 1888, 1648, 311, 656, 420, 374, 311, 49586, 13, 662, 662, 16853, 25242, 1935, 433, 304, 10800, 311, 5268, 264, 13046, 389, 279, 5950, 13, 578, 13946, 374, 279, 1176, 311, 617, 3116, 32094, 430, 649, 387, 11096, 311, 1376, 264, 9518, 627, 32, 1847, 369, 220, 17, 4311, 13, 3053, 387, 6476, 2930, 13, 3861, 2851, 706, 220, 16, 2579, 198, 8456, 11, 279, 1023, 706, 220, 19, 6437, 13, 578, 2579, 5663, 3966, 311, 5662, 279, 198, 1605, 3185, 11, 323, 279, 6437, 3966, 311, 23709, 279, 2579, 627, 2654, 688, 17263, 220, 679, 15, 482, 264, 37072, 1847, 369, 1475, 1938, 2391, 279, 198, 6236, 5352, 311, 10280, 627, 32, 1847, 369, 220, 17, 4311, 449, 4528, 275, 49201, 311, 452, 1829, 13, 11004, 832, 5663, 389, 1855, 7858, 389, 279, 3953, 4580, 13, 25640, 1935, 433, 374, 10800, 311, 4148, 220, 16, 477, 220, 17, 24894, 32632, 13, 578, 13946, 22657, 709, 279, 1566, 5663, 627, 791, 9395, 315, 279, 1847, 374, 311, 15332, 279, 6307, 9518, 505, 279, 1948, 1314, 198, 10888, 9309, 311, 279, 5740, 2163, 1450, 9309, 304, 279, 3325, 1396, 315, 198, 12978, 279, 38328, 311, 1977, 264, 5729, 315, 10215, 3117, 3403, 311, 3665, 813, 198, 10931, 31691, 304, 279, 21970, 627, 32, 1847, 369, 220, 17, 4311, 13, 12040, 10800, 311, 2035, 264, 5663, 779, 430, 433, 76854, 832, 315, 279, 15821, 3284, 10093, 304, 279, 5950, 13, 578, 1176, 2851, 311, 4686, 264, 1584, 315, 220, 19, 15160, 627, 2028, 4652, 369, 13639, 16964, 3892, 3953, 11, 1766, 389, 279, 198, 9703, 11, 682, 315, 902, 617, 264, 5552, 6070, 430, 649, 387, 1511, 311, 198, 16219, 279, 7512, 315, 19092, 9293, 627, 32, 1847, 369, 220, 17, 4311, 430, 649, 387, 6476, 2930, 13, 25640, 1935, 433, 304, 10800, 311, 3373, 264, 3492, 505, 279, 220, 24, 4339, 2728, 13, 578, 9395, 374, 311, 3373, 682, 279, 57115, 315, 279, 1890, 6661, 627, 32, 95354, 449, 43775, 2728, 439, 37498, 315, 10925, 627, 2127, 4652, 369, 13639, 323, 45172, 430, 37167, 499, 311, 1427, 520, 279, 37072, 6012, 315, 4528, 3953, 627, 6854, 499, 9567, 49654, 4680, 304, 420, 4382, 22901, 1847, 30, 3053, 499, 7216, 704, 198, 47, 343, 4680, 596, 8446, 11, 323, 374, 1070, 264, 2731, 832, 5380, 50, 4035, 420, 95354, 25649, 6832, 43775, 527, 304, 279, 1376, 315, 37498, 315, 279, 198, 38478, 902, 1288, 5101, 304, 38336, 14329, 7917, 627, 2028, 4652, 45510, 499, 311, 636, 11537, 449, 264, 19092, 1847, 2663, 330, 52773, 11934, 3343, 578, 1847, 374, 4382, 3403, 369, 14992, 2911, 311, 3619, 11, 323, 706, 1101, 3984, 10534, 21651, 5493, 449, 13, 662, 662, 16853, 791, 6500, 8638, 449, 682, 279, 13001, 1022, 11, 719, 1243, 28849, 220, 18, 11, 220, 19, 198, 269, 220, 20, 3115, 520, 4288, 11, 9564, 1063, 13001, 389, 13, 3053, 499, 3480, 1124, 198, 791, 4623, 315, 420, 1847, 374, 311, 923, 477, 33356, 279, 1403, 5219, 389, 279, 22901, 323, 3504, 279, 1121, 389, 279, 5950, 11, 4560, 311, 636, 264, 1584, 315, 2380, 13, 8886, 1070, 1063, 5219, 430, 527, 1695, 311, 9395, 369, 5380, 44587, 1626, 499, 617, 2744, 4934, 311, 656, 449, 4824, 3394, 288, 0, 4427, 315, 1521, 3953, 527, 1695, 369, 3856, 3876, 701, 10723, 22702, 7512, 11, 323, 1063, 527, 1695, 369, 701, 33811, 7512, 627, 34371, 1102, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 2586, 709, 449, 264, 1648, 315, 2744, 11230, 420, 1847, 5380, 32, 4526, 315, 3953, 389, 279, 452, 1829, 7057, 198, 15546, 1071, 430, 7999, 7846, 956, 387, 2523, 5380, 32, 1847, 369, 220, 17, 1274, 13, 12040, 10800, 18667, 1403, 32094, 11, 3156, 701, 15046, 374, 12153, 311, 3351, 627, 6854, 499, 990, 704, 1268, 311, 3243, 420, 1847, 315, 47683, 30, 12838, 433, 5030, 422, 499, 733, 1176, 477, 2132, 5380, 2127, 19664, 743, 315, 4824, 3394, 288, 649, 387, 17551, 704, 439, 264, 220, 22, 555, 220, 19, 11204, 23596, 304, 902, 682, 279, 19300, 304, 682, 279, 8310, 923, 311, 220, 1187, 11, 1418, 1884, 304, 279, 7123, 923, 311, 220, 2983, 13, 9934, 433, 0, 4800, 1456, 279, 11204, 9518, 9522, 644, 346, 88, 468, 1736, 88, 29490, 1847, 369, 459, 6822, 323, 1716, 13, 4946, 763, 346, 88, 636, 311, 279, 1948, 315, 279, 24659, 14086, 5380, 2059, 332, 279, 8425, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 2543, 927, 279, 7563, 902, 2489, 279, 5219, 389, 279, 22901, 5380, 45, 318, 12, 22, 1847, 369, 459, 6822, 323, 1716, 13, 10699, 690, 387, 279, 832, 311, 1935, 279, 1566, 5663, 5380, 28070, 6122, 1847, 369, 459, 6822, 323, 1716, 13, 4946, 499, 387, 279, 1176, 311, 617, 3116, 5219, 304, 264, 2872, 389, 279, 1396, 1584, 5380, 23949, 279, 22901, 323, 10491, 3508, 311, 2033, 477, 15104, 588, 279, 1396, 13, 4946, 499, 387, 279, 1176, 311, 5662, 279, 2218, 5380, 12198, 8527, 1847, 369, 1403, 13, 3053, 499, 3009, 701, 8427, 505, 1694, 3025, 311, 1304, 264, 6211, 389, 279, 4580, 5380, 6854, 499, 7858, 279, 43874, 1990, 420, 1847, 323, 1023, 3953, 499, 1440, 30, 578, 9395, 374, 311, 5268, 220, 18, 5219, 430, 2860, 220, 868, 627, 32, 559, 27421, 25649, 369, 220, 16, 1732, 13, 4593, 454, 279, 10093, 315, 279, 32632, 520, 279, 1948, 323, 5740, 315, 279, 4580, 627, 73419, 433, 4470, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 3009, 701, 8427, 505, 1694, 3025, 311, 733, 5380, 18293, 433, 304, 10800, 311, 1304, 264, 22217, 389, 279, 31787, 2541, 13, 3053, 499, 2565, 701, 15046, 5380, 32, 1847, 311, 1304, 323, 1514, 3196, 389, 279, 1396, 1584, 627, 8495, 279, 75212, 627, 7749, 488, 1847, 369, 459, 6822, 323, 1716, 13, 2893, 279, 1176, 311, 5662, 701, 7378, 2860, 627, 12198, 8527, 26323, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 5471, 701, 8427, 505, 1694, 3025, 311, 1304, 264, 6211, 5380, 50, 5682, 17157, 3799, 25137, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 636, 2380, 59428, 1828, 311, 1855, 1023, 389, 279, 42197, 1603, 701, 8427, 5380, 6919, 704, 279, 65995, 311, 2489, 279, 7563, 449, 279, 1890, 3392, 315, 198, 18293, 433, 304, 10800, 311, 2035, 264, 4824, 3394, 389, 279, 5950, 13, 3861, 311, 387, 9277, 59988, 323, 279, 1023, 52035, 13, 3053, 499, 1304, 433, 12266, 369, 701, 15046, 311, 1514, 5380, 2127, 2362, 1847, 719, 10283, 315, 35884, 4999, 32, 5542, 4857, 1847, 369, 220, 17, 4311, 627, 32, 1847, 369, 220, 17, 1274, 1701, 264, 3854, 315, 7563, 12268, 927, 220, 17, 7563, 323, 1456, 198, 998, 1304, 459, 10535, 1396, 477, 264, 5361, 315, 220, 18, 627, 10903, 279, 27234, 1847, 369, 459, 6822, 323, 1716, 13, 2650, 649, 499, 1304, 2771, 499, 2744, 3243, 420, 1847, 30, 128001, 128000, 4383, 287, 315, 48833, 24271, 198, 38538, 2335, 4860, 527, 4819, 304, 279, 2262, 430, 83173, 279, 5575, 311, 2980, 11, 311, 8881, 11, 323, 311, 69318, 14847, 13, 2435, 1397, 279, 5575, 311, 24564, 279, 2262, 323, 1304, 13537, 2949, 264, 20789, 323, 4443, 7036, 13, 578, 2768, 527, 12090, 7718, 4860, 279, 4236, 1288, 387, 3025, 311, 2980, 1306, 5403, 38727, 311, 35321, 26486, 13, 578, 24978, 11326, 1253, 6562, 311, 923, 477, 22472, 4860, 3196, 389, 5575, 3966, 323, 12034, 477, 892, 85274, 479, 13, 21883, 527, 264, 2478, 10507, 627, 40413, 323, 11688, 25, 3639, 5536, 1587, 264, 7061, 753, 1742, 617, 389, 279, 6742, 753, 8830, 315, 264, 1495, 30, 2650, 1587, 279, 1054, 11789, 863, 315, 3927, 1989, 7739, 320, 32261, 11, 19354, 11, 17649, 11, 5099, 6266, 20599, 20789, 53219, 30, 2650, 1587, 279, 87068, 10151, 315, 1054, 75919, 863, 7958, 4443, 323, 3674, 12135, 5380, 25099, 323, 279, 17979, 25, 3639, 3560, 1587, 1989, 1514, 304, 1917, 27833, 30, 763, 701, 3224, 753, 7829, 30, 763, 701, 4443, 7829, 30, 2650, 374, 34997, 264, 46450, 369, 20095, 5380, 27414, 323, 38356, 950, 25, 3639, 374, 279, 907, 315, 1380, 43927, 5201, 323, 8830, 30, 2650, 323, 3249, 1587, 3432, 753, 4731, 1782, 505, 430, 315, 701, 6699, 323, 56435, 30, 3234, 499, 4510, 430, 43384, 374, 2225, 1054, 53766, 863, 323, 1054, 3518, 16468, 74022, 128001, 128000, 8872, 7006, 17587, 271, 5963, 12596, 16162, 20520, 482, 82, 482, 55, 13165, 1795, 1129, 8465, 25, 11770, 15, 17823, 14, 8110, 1026, 17823, 53034, 74, 12407, 14, 17447, 38744, 307, 86570, 55486, 220, 482, 39, 330, 2831, 11038, 25, 3851, 11009, 42342, 8627, 45657, 1, 482, 67, 330, 5223, 54638, 882, 1, 482, 67, 330, 3918, 74617, 1, 482, 67, 364, 52727, 1857, 74617, 6, 482, 67, 364, 3045, 851, 28, 37379, 53034, 74, 12407, 6, 765, 45748, 482, 81, 6389, 5323, 6594, 1329, 3123, 330, 4518, 1401, 89851, 4037, 25, 400, 5963, 12596, 702, 333, 510, 3654, 2, 5963, 12596, 92, 482, 5289, 220, 605, 5243, 3473, 198, 220, 32621, 2285, 16162, 8805, 52856, 636, 58281, 35941, 1198, 33640, 26521, 1795, 1129, 8465, 25, 4513, 1774, 1198, 5963, 26327, 5312, 5963, 12596, 1158, 220, 1722, 330, 48459, 8472, 81992, 25, 400, 8805, 2285, 702, 220, 7637, 24124, 25424, 6738, 3533, 16162, 3123, 400, 8805, 2285, 765, 45748, 482, 81, 6389, 28123, 36745, 82443, 1329, 220, 7637, 24124, 32508, 25424, 6738, 16162, 3123, 400, 8805, 2285, 765, 45748, 482, 81, 6389, 28123, 75879, 6182, 1622, 1329, 220, 7637, 24124, 35461, 19199, 16162, 3123, 400, 8805, 2285, 765, 45748, 482, 81, 6389, 28123, 21331, 3404, 1329, 1531, 198, 220, 1722, 330, 8087, 1217, 16792, 702, 10188, 271, 128001, 128000, 13853, 15822, 5385, 1363, 16747, 397, 262, 366, 5607, 11878, 429, 8729, 12, 23, 891, 262, 366, 5607, 2262, 429, 5484, 37040, 1, 1795, 23793, 62445, 37836, 38362, 397, 262, 366, 5607, 2262, 429, 3175, 20297, 9531, 11, 9613, 13230, 28, 16, 1, 836, 28, 18774, 397, 262, 53361, 91708, 69014, 262, 366, 2125, 1375, 429, 6936, 1, 955, 429, 1342, 6851, 1, 1839, 6039, 5254, 15711, 4425, 7879, 524, 2025, 1363, 15896, 397, 262, 53361, 2997, 4342, 2628, 1034, 633, 262, 366, 614, 538, 429, 3670, 891, 286, 5991, 2262, 8256, 262, 694, 614, 1363, 262, 53361, 2997, 24048, 2628, 69014, 524, 2664, 397, 524, 1580, 29, 128001 ]
[ -100, 2688, 682, 315, 603, 264, 77850, 449, 11782, 1847, 6848, 11, 719, 1070, 527, 198, 325, 17998, 5627, 311, 733, 922, 6968, 264, 1847, 430, 690, 7945, 1524, 279, 198, 10551, 13744, 323, 1455, 44040, 1847, 15034, 627, 644, 420, 4652, 369, 13639, 11, 48299, 12404, 5721, 16964, 279, 13186, 1364, 5829, 311, 5268, 37072, 3953, 369, 279, 24978, 323, 13551, 1063, 10507, 505, 40395, 33929, 627, 38, 65821, 59994, 29060, 1148, 5900, 389, 994, 37072, 3953, 527, 198, 2656, 439, 264, 10696, 55180, 292, 3756, 627, 2028, 4652, 17135, 13639, 449, 2038, 430, 1253, 387, 5505, 304, 2731, 8830, 279, 7138, 315, 3953, 323, 872, 3560, 304, 12917, 323, 6975, 38696, 627, 2028, 4652, 11, 279, 2132, 304, 279, 4101, 11, 5992, 520, 1063, 2204, 4595, 315, 3953, 323, 279, 3460, 315, 37072, 7422, 814, 649, 2274, 627, 16323, 8446, 3953, 527, 8104, 14791, 439, 6041, 3585, 198, 2000, 26969, 13, 25640, 31655, 3210, 1456, 311, 7142, 264, 11230, 198, 63014, 11, 323, 6118, 279, 1888, 1648, 311, 656, 420, 374, 311, 49586, 13, 662, 662, 16853, 25242, 1935, 433, 304, 10800, 311, 5268, 264, 13046, 389, 279, 5950, 13, 578, 13946, 374, 279, 1176, 311, 617, 3116, 32094, 430, 649, 387, 11096, 311, 1376, 264, 9518, 627, 32, 1847, 369, 220, 17, 4311, 13, 3053, 387, 6476, 2930, 13, 3861, 2851, 706, 220, 16, 2579, 198, 8456, 11, 279, 1023, 706, 220, 19, 6437, 13, 578, 2579, 5663, 3966, 311, 5662, 279, 198, 1605, 3185, 11, 323, 279, 6437, 3966, 311, 23709, 279, 2579, 627, 2654, 688, 17263, 220, 679, 15, 482, 264, 37072, 1847, 369, 1475, 1938, 2391, 279, 198, 6236, 5352, 311, 10280, 627, 32, 1847, 369, 220, 17, 4311, 449, 4528, 275, 49201, 311, 452, 1829, 13, 11004, 832, 5663, 389, 1855, 7858, 389, 279, 3953, 4580, 13, 25640, 1935, 433, 374, 10800, 311, 4148, 220, 16, 477, 220, 17, 24894, 32632, 13, 578, 13946, 22657, 709, 279, 1566, 5663, 627, 791, 9395, 315, 279, 1847, 374, 311, 15332, 279, 6307, 9518, 505, 279, 1948, 1314, 198, 10888, 9309, 311, 279, 5740, 2163, 1450, 9309, 304, 279, 3325, 1396, 315, 198, 12978, 279, 38328, 311, 1977, 264, 5729, 315, 10215, 3117, 3403, 311, 3665, 813, 198, 10931, 31691, 304, 279, 21970, 627, 32, 1847, 369, 220, 17, 4311, 13, 12040, 10800, 311, 2035, 264, 5663, 779, 430, 433, 76854, 832, 315, 279, 15821, 3284, 10093, 304, 279, 5950, 13, 578, 1176, 2851, 311, 4686, 264, 1584, 315, 220, 19, 15160, 627, 2028, 4652, 369, 13639, 16964, 3892, 3953, 11, 1766, 389, 279, 198, 9703, 11, 682, 315, 902, 617, 264, 5552, 6070, 430, 649, 387, 1511, 311, 198, 16219, 279, 7512, 315, 19092, 9293, 627, 32, 1847, 369, 220, 17, 4311, 430, 649, 387, 6476, 2930, 13, 25640, 1935, 433, 304, 10800, 311, 3373, 264, 3492, 505, 279, 220, 24, 4339, 2728, 13, 578, 9395, 374, 311, 3373, 682, 279, 57115, 315, 279, 1890, 6661, 627, 32, 95354, 449, 43775, 2728, 439, 37498, 315, 10925, 627, 2127, 4652, 369, 13639, 323, 45172, 430, 37167, 499, 311, 1427, 520, 279, 37072, 6012, 315, 4528, 3953, 627, 6854, 499, 9567, 49654, 4680, 304, 420, 4382, 22901, 1847, 30, 3053, 499, 7216, 704, 198, 47, 343, 4680, 596, 8446, 11, 323, 374, 1070, 264, 2731, 832, 5380, 50, 4035, 420, 95354, 25649, 6832, 43775, 527, 304, 279, 1376, 315, 37498, 315, 279, 198, 38478, 902, 1288, 5101, 304, 38336, 14329, 7917, 627, 2028, 4652, 45510, 499, 311, 636, 11537, 449, 264, 19092, 1847, 2663, 330, 52773, 11934, 3343, 578, 1847, 374, 4382, 3403, 369, 14992, 2911, 311, 3619, 11, 323, 706, 1101, 3984, 10534, 21651, 5493, 449, 13, 662, 662, 16853, 791, 6500, 8638, 449, 682, 279, 13001, 1022, 11, 719, 1243, 28849, 220, 18, 11, 220, 19, 198, 269, 220, 20, 3115, 520, 4288, 11, 9564, 1063, 13001, 389, 13, 3053, 499, 3480, 1124, 198, 791, 4623, 315, 420, 1847, 374, 311, 923, 477, 33356, 279, 1403, 5219, 389, 279, 22901, 323, 3504, 279, 1121, 389, 279, 5950, 11, 4560, 311, 636, 264, 1584, 315, 2380, 13, 8886, 1070, 1063, 5219, 430, 527, 1695, 311, 9395, 369, 5380, 44587, 1626, 499, 617, 2744, 4934, 311, 656, 449, 4824, 3394, 288, 0, 4427, 315, 1521, 3953, 527, 1695, 369, 3856, 3876, 701, 10723, 22702, 7512, 11, 323, 1063, 527, 1695, 369, 701, 33811, 7512, 627, 34371, 1102, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 2586, 709, 449, 264, 1648, 315, 2744, 11230, 420, 1847, 5380, 32, 4526, 315, 3953, 389, 279, 452, 1829, 7057, 198, 15546, 1071, 430, 7999, 7846, 956, 387, 2523, 5380, 32, 1847, 369, 220, 17, 1274, 13, 12040, 10800, 18667, 1403, 32094, 11, 3156, 701, 15046, 374, 12153, 311, 3351, 627, 6854, 499, 990, 704, 1268, 311, 3243, 420, 1847, 315, 47683, 30, 12838, 433, 5030, 422, 499, 733, 1176, 477, 2132, 5380, 2127, 19664, 743, 315, 4824, 3394, 288, 649, 387, 17551, 704, 439, 264, 220, 22, 555, 220, 19, 11204, 23596, 304, 902, 682, 279, 19300, 304, 682, 279, 8310, 923, 311, 220, 1187, 11, 1418, 1884, 304, 279, 7123, 923, 311, 220, 2983, 13, 9934, 433, 0, 4800, 1456, 279, 11204, 9518, 9522, 644, 346, 88, 468, 1736, 88, 29490, 1847, 369, 459, 6822, 323, 1716, 13, 4946, 763, 346, 88, 636, 311, 279, 1948, 315, 279, 24659, 14086, 5380, 2059, 332, 279, 8425, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 2543, 927, 279, 7563, 902, 2489, 279, 5219, 389, 279, 22901, 5380, 45, 318, 12, 22, 1847, 369, 459, 6822, 323, 1716, 13, 10699, 690, 387, 279, 832, 311, 1935, 279, 1566, 5663, 5380, 28070, 6122, 1847, 369, 459, 6822, 323, 1716, 13, 4946, 499, 387, 279, 1176, 311, 617, 3116, 5219, 304, 264, 2872, 389, 279, 1396, 1584, 5380, 23949, 279, 22901, 323, 10491, 3508, 311, 2033, 477, 15104, 588, 279, 1396, 13, 4946, 499, 387, 279, 1176, 311, 5662, 279, 2218, 5380, 12198, 8527, 1847, 369, 1403, 13, 3053, 499, 3009, 701, 8427, 505, 1694, 3025, 311, 1304, 264, 6211, 389, 279, 4580, 5380, 6854, 499, 7858, 279, 43874, 1990, 420, 1847, 323, 1023, 3953, 499, 1440, 30, 578, 9395, 374, 311, 5268, 220, 18, 5219, 430, 2860, 220, 868, 627, 32, 559, 27421, 25649, 369, 220, 16, 1732, 13, 4593, 454, 279, 10093, 315, 279, 32632, 520, 279, 1948, 323, 5740, 315, 279, 4580, 627, 73419, 433, 4470, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 3009, 701, 8427, 505, 1694, 3025, 311, 733, 5380, 18293, 433, 304, 10800, 311, 1304, 264, 22217, 389, 279, 31787, 2541, 13, 3053, 499, 2565, 701, 15046, 5380, 32, 1847, 311, 1304, 323, 1514, 3196, 389, 279, 1396, 1584, 627, 8495, 279, 75212, 627, 7749, 488, 1847, 369, 459, 6822, 323, 1716, 13, 2893, 279, 1176, 311, 5662, 701, 7378, 2860, 627, 12198, 8527, 26323, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 5471, 701, 8427, 505, 1694, 3025, 311, 1304, 264, 6211, 5380, 50, 5682, 17157, 3799, 25137, 1847, 369, 459, 6822, 323, 1716, 13, 3053, 499, 636, 2380, 59428, 1828, 311, 1855, 1023, 389, 279, 42197, 1603, 701, 8427, 5380, 6919, 704, 279, 65995, 311, 2489, 279, 7563, 449, 279, 1890, 3392, 315, 198, 18293, 433, 304, 10800, 311, 2035, 264, 4824, 3394, 389, 279, 5950, 13, 3861, 311, 387, 9277, 59988, 323, 279, 1023, 52035, 13, 3053, 499, 1304, 433, 12266, 369, 701, 15046, 311, 1514, 5380, 2127, 2362, 1847, 719, 10283, 315, 35884, 4999, 32, 5542, 4857, 1847, 369, 220, 17, 4311, 627, 32, 1847, 369, 220, 17, 1274, 1701, 264, 3854, 315, 7563, 12268, 927, 220, 17, 7563, 323, 1456, 198, 998, 1304, 459, 10535, 1396, 477, 264, 5361, 315, 220, 18, 627, 10903, 279, 27234, 1847, 369, 459, 6822, 323, 1716, 13, 2650, 649, 499, 1304, 2771, 499, 2744, 3243, 420, 1847, 30, 128001, -100, 4383, 287, 315, 48833, 24271, 198, 38538, 2335, 4860, 527, 4819, 304, 279, 2262, 430, 83173, 279, 5575, 311, 2980, 11, 311, 8881, 11, 323, 311, 69318, 14847, 13, 2435, 1397, 279, 5575, 311, 24564, 279, 2262, 323, 1304, 13537, 2949, 264, 20789, 323, 4443, 7036, 13, 578, 2768, 527, 12090, 7718, 4860, 279, 4236, 1288, 387, 3025, 311, 2980, 1306, 5403, 38727, 311, 35321, 26486, 13, 578, 24978, 11326, 1253, 6562, 311, 923, 477, 22472, 4860, 3196, 389, 5575, 3966, 323, 12034, 477, 892, 85274, 479, 13, 21883, 527, 264, 2478, 10507, 627, 40413, 323, 11688, 25, 3639, 5536, 1587, 264, 7061, 753, 1742, 617, 389, 279, 6742, 753, 8830, 315, 264, 1495, 30, 2650, 1587, 279, 1054, 11789, 863, 315, 3927, 1989, 7739, 320, 32261, 11, 19354, 11, 17649, 11, 5099, 6266, 20599, 20789, 53219, 30, 2650, 1587, 279, 87068, 10151, 315, 1054, 75919, 863, 7958, 4443, 323, 3674, 12135, 5380, 25099, 323, 279, 17979, 25, 3639, 3560, 1587, 1989, 1514, 304, 1917, 27833, 30, 763, 701, 3224, 753, 7829, 30, 763, 701, 4443, 7829, 30, 2650, 374, 34997, 264, 46450, 369, 20095, 5380, 27414, 323, 38356, 950, 25, 3639, 374, 279, 907, 315, 1380, 43927, 5201, 323, 8830, 30, 2650, 323, 3249, 1587, 3432, 753, 4731, 1782, 505, 430, 315, 701, 6699, 323, 56435, 30, 3234, 499, 4510, 430, 43384, 374, 2225, 1054, 53766, 863, 323, 1054, 3518, 16468, 74022, 128001, -100, 8872, 7006, 17587, 271, 5963, 12596, 16162, 20520, 482, 82, 482, 55, 13165, 1795, 1129, 8465, 25, 11770, 15, 17823, 14, 8110, 1026, 17823, 53034, 74, 12407, 14, 17447, 38744, 307, 86570, 55486, 220, 482, 39, 330, 2831, 11038, 25, 3851, 11009, 42342, 8627, 45657, 1, 482, 67, 330, 5223, 54638, 882, 1, 482, 67, 330, 3918, 74617, 1, 482, 67, 364, 52727, 1857, 74617, 6, 482, 67, 364, 3045, 851, 28, 37379, 53034, 74, 12407, 6, 765, 45748, 482, 81, 6389, 5323, 6594, 1329, 3123, 330, 4518, 1401, 89851, 4037, 25, 400, 5963, 12596, 702, 333, 510, 3654, 2, 5963, 12596, 92, 482, 5289, 220, 605, 5243, 3473, 198, 220, 32621, 2285, 16162, 8805, 52856, 636, 58281, 35941, 1198, 33640, 26521, 1795, 1129, 8465, 25, 4513, 1774, 1198, 5963, 26327, 5312, 5963, 12596, 1158, 220, 1722, 330, 48459, 8472, 81992, 25, 400, 8805, 2285, 702, 220, 7637, 24124, 25424, 6738, 3533, 16162, 3123, 400, 8805, 2285, 765, 45748, 482, 81, 6389, 28123, 36745, 82443, 1329, 220, 7637, 24124, 32508, 25424, 6738, 16162, 3123, 400, 8805, 2285, 765, 45748, 482, 81, 6389, 28123, 75879, 6182, 1622, 1329, 220, 7637, 24124, 35461, 19199, 16162, 3123, 400, 8805, 2285, 765, 45748, 482, 81, 6389, 28123, 21331, 3404, 1329, 1531, 198, 220, 1722, 330, 8087, 1217, 16792, 702, 10188, 271, 128001, -100, 13853, 15822, 5385, 1363, 16747, 397, 262, 366, 5607, 11878, 429, 8729, 12, 23, 891, 262, 366, 5607, 2262, 429, 5484, 37040, 1, 1795, 23793, 62445, 37836, 38362, 397, 262, 366, 5607, 2262, 429, 3175, 20297, 9531, 11, 9613, 13230, 28, 16, 1, 836, 28, 18774, 397, 262, 53361, 91708, 69014, 262, 366, 2125, 1375, 429, 6936, 1, 955, 429, 1342, 6851, 1, 1839, 6039, 5254, 15711, 4425, 7879, 524, 2025, 1363, 15896, 397, 262, 53361, 2997, 4342, 2628, 1034, 633, 262, 366, 614, 538, 429, 3670, 891, 286, 5991, 2262, 8256, 262, 694, 614, 1363, 262, 53361, 2997, 24048, 2628, 69014, 524, 2664, 397, 524, 1580, 29, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109 ]
[ 128000, 4438, 311, 13313, 24248, 2436, 449, 42135, 1221, 73528, 82, 198, 46864, 499, 527, 21630, 369, 701, 6498, 32528, 1620, 323, 499, 617, 311, 5249, 1403, 5552, 23719, 3871, 13, 3861, 1648, 311, 656, 430, 374, 555, 1701, 66515, 32546, 82, 13, 1472, 3207, 11537, 449, 1521, 4279, 4339, 25, 369, 11, 719, 11, 3686, 11, 779, 11, 6463, 11, 323, 11, 323, 477, 13, 320, 3112, 374, 279, 1455, 5526, 11, 369, 1884, 315, 499, 10494, 3839, 29275, 9673, 2697, 2410, 37841, 8343, 872, 68798, 323, 12157, 14661, 1475, 1938, 13, 11205, 2890, 1285, 26870, 1304, 1124, 3831, 3403, 311, 5249, 4686, 23719, 13, 2435, 1253, 1101, 52696, 682, 21522, 315, 6273, 69225, 62172, 5540, 13, 5810, 814, 527, 304, 1957, 11, 18667, 4686, 23719, 512, 791, 11422, 281, 3903, 291, 3765, 1215, 753, 18004, 7013, 11, 323, 813, 6307, 72426, 15653, 1051, 6724, 47168, 627, 791, 12432, 3309, 350, 25041, 311, 1495, 279, 2686, 315, 279, 10960, 311, 5127, 11, 719, 350, 25041, 1047, 912, 4623, 1405, 279, 10960, 574, 627, 2675, 649, 1935, 264, 35331, 11, 477, 499, 649, 7940, 1022, 264, 44106, 627, 25584, 1550, 539, 1440, 1268, 311, 30077, 264, 15580, 11, 6463, 1550, 568, 3619, 3312, 483, 31018, 627, 791, 25861, 16455, 32393, 279, 14708, 11, 369, 814, 1047, 6755, 264, 59001, 922, 21270, 4359, 10126, 627, 791, 16580, 32546, 82, 3041, 6273, 25679, 311, 279, 5540, 814, 5249, 13, 763, 279, 38846, 23719, 11, 279, 6848, 389, 832, 3185, 315, 279, 32546, 617, 912, 810, 12939, 1109, 279, 6848, 389, 279, 1023, 3185, 315, 279, 32546, 627, 4599, 279, 32546, 82, 323, 11, 719, 11, 477, 11, 6463, 11, 323, 369, 52696, 1403, 4686, 23719, 11, 264, 32783, 16599, 288, 279, 32546, 627, 8538, 4339, 5101, 311, 387, 3831, 3403, 311, 5249, 23719, 11, 719, 304, 8903, 814, 3207, 1120, 264, 15860, 315, 220, 3264, 48730, 7621, 19342, 13, 21834, 315, 1521, 4339, 439, 7752, 889, 6392, 40086, 304, 872, 43475, 11, 6968, 293, 75669, 2085, 279, 47947, 315, 2133, 311, 279, 19343, 13, 4314, 87819, 1253, 1427, 1695, 11, 719, 279, 9568, 499, 1205, 1124, 311, 3820, 709, 264, 11092, 477, 2555, 11, 814, 3207, 3925, 627, 4139, 5249, 388, 2997, 4869, 11, 52394, 11, 9093, 11, 44643, 11, 1101, 11, 323, 78637, 13, 5560, 1521, 4339, 311, 923, 7438, 311, 701, 23719, 719, 539, 311, 38561, 279, 23719, 3871, 13, 3277, 499, 1518, 1521, 4339, 389, 264, 51114, 7151, 11, 387, 16994, 0, 362, 7075, 1296, 84701, 14397, 374, 311, 281, 23085, 1521, 4339, 1139, 264, 1629, 10539, 13, 12040, 264, 1427, 520, 1521, 10507, 512, 6869, 10539, 25, 28120, 263, 342, 92046, 279, 12224, 23425, 11, 52394, 11, 74232, 1047, 4400, 311, 8343, 627, 34192, 291, 2373, 220, 16, 25, 28120, 263, 342, 92046, 279, 12224, 23425, 26, 52394, 11, 74232, 1047, 4400, 311, 8343, 627, 34192, 291, 2373, 220, 17, 25, 28120, 263, 342, 92046, 279, 12224, 23425, 13, 53123, 11, 74232, 1047, 4400, 311, 8343, 627, 35293, 279, 5347, 39617, 304, 279, 1176, 37065, 11914, 30, 328, 8274, 337, 2439, 527, 13890, 311, 16580, 32546, 82, 13, 10771, 311, 279, 23479, 63077, 1122, 596, 18592, 6017, 320, 8370, 3250, 956, 3073, 705, 5347, 27561, 2439, 649, 5249, 1403, 4686, 23719, 1234, 3738, 4787, 627, 2409, 701, 17676, 6548, 11, 499, 4762, 30652, 264, 32783, 1306, 52394, 304, 1855, 315, 279, 38846, 10507, 13, 29937, 76, 30627, 18046, 922, 3508, 499, 2011, 2035, 264, 32783, 1306, 264, 905, 5249, 261, 13, 320, 2520, 279, 3335, 11, 905, 5249, 388, 527, 16898, 20526, 535, 1008, 56039, 13, 2360, 832, 304, 279, 4553, 15861, 3966, 311, 1440, 430, 4751, 6266, 4427, 69225, 30627, 2019, 430, 279, 32783, 374, 5995, 13, 26080, 1518, 279, 32783, 439, 10309, 2001, 264, 3488, 315, 4443, 1742, 13, 1115, 374, 279, 3460, 315, 5811, 430, 3727, 69225, 30627, 10728, 11426, 369, 66904, 5469, 31537, 13, 128001, 128000, 7532, 54, 220, 777, 13, 2545, 13, 13364, 25, 5475, 389, 19607, 994, 23702, 519, 539, 1766, 2345, 34255, 2345, 43041, 2345, 15289, 82, 627, 4599, 459, 5502, 9879, 1234, 420, 12735, 11, 477, 1202, 4872, 11, 96491, 11, 477, 30139, 9808, 11, 4250, 387, 1766, 1306, 29546, 97653, 5149, 11, 279, 19607, 315, 1614, 2011, 387, 459, 8479, 315, 1778, 5502, 5304, 8884, 1920, 1253, 387, 10434, 13, 5475, 389, 279, 19607, 2011, 387, 1903, 555, 24944, 311, 279, 19607, 477, 279, 19607, 596, 2955, 2176, 23329, 11236, 315, 1778, 1920, 11, 323, 264, 26559, 11307, 311, 387, 9749, 555, 6037, 315, 279, 19607, 13, 2684, 59723, 11, 279, 19607, 2011, 7214, 5353, 832, 315, 279, 11236, 311, 387, 53346, 311, 279, 23702, 519, 520, 279, 1455, 1510, 2686, 6982, 304, 279, 19607, 596, 3626, 13, 5884, 2532, 389, 279, 19607, 2011, 387, 471, 481, 304, 539, 2753, 1109, 27219, 2919, 627, 8780, 11307, 1234, 420, 3857, 1253, 387, 59453, 439, 7194, 304, 279, 1957, 627, 791, 19607, 2011, 10519, 264, 3335, 315, 682, 1920, 10434, 389, 279, 19607, 1234, 420, 3857, 11, 323, 2011, 3335, 279, 2457, 315, 2532, 323, 279, 19607, 596, 1957, 627, 24714, 304, 420, 3857, 13693, 477, 22223, 279, 1314, 311, 8854, 1920, 2631, 477, 15480, 311, 387, 10434, 389, 264, 23702, 519, 304, 904, 1023, 11827, 1457, 477, 1618, 10924, 15480, 555, 2383, 13, 128001, 128000, 6540, 19995, 12517, 5492, 449, 8821, 5496, 3158, 627, 5618, 5296, 11, 304, 279, 1888, 12034, 315, 2225, 279, 41247, 323, 279, 41016, 11, 584, 8720, 279, 19160, 79010, 369, 1855, 32368, 555, 38714, 279, 8175, 439, 264, 11668, 315, 17496, 8070, 13, 1442, 279, 5064, 12, 55674, 12447, 315, 220, 1644, 4, 374, 34908, 11, 584, 690, 539, 10570, 449, 459, 3851, 13, 2057, 5766, 41698, 11, 584, 4284, 499, 11294, 701, 8824, 311, 10150, 420, 3424, 555, 19486, 420, 15150, 25, 8175, 1717, 115, 701, 2860, 17496, 8070, 865, 220, 1041, 13, 1442, 279, 4320, 374, 7191, 1109, 220, 1644, 11, 5496, 304, 420, 3424, 1253, 2035, 499, 304, 279, 6671, 315, 8175, 8631, 627, 2520, 1884, 7366, 311, 2893, 8039, 288, 531, 11, 279, 88275, 374, 459, 6596, 596, 6678, 505, 279, 4219, 315, 47335, 323, 279, 7573, 16377, 13, 64348, 315, 279, 6424, 649, 2680, 264, 7029, 2134, 315, 6593, 11, 6020, 323, 1023, 6721, 3600, 13, 1442, 499, 617, 2978, 20330, 2911, 11, 499, 690, 617, 264, 5873, 315, 586, 323, 879, 8853, 13, 2684, 374, 1101, 264, 17226, 2134, 315, 36027, 323, 47044, 13077, 627, 25696, 6261, 5496, 520, 220, 1758, 52194, 16542, 11, 2893, 8039, 288, 531, 13, 1472, 1436, 5246, 1650, 420, 2294, 2035, 2162, 323, 4774, 682, 279, 304, 24436, 25, 7373, 84493, 323, 3805, 59105, 287, 13, 128001, 128000, 2460, 856, 27672, 527, 2103, 13989, 13, 551, 18, 358, 2846, 539, 2771, 422, 8409, 393, 9933, 374, 2103, 13989, 11, 3604, 13, 1628, 358, 3077, 2751, 1579, 16388, 1606, 3892, 315, 856, 27672, 527, 9932, 304, 279, 330, 20370, 85, 535, 311, 279, 842, 1, 961, 315, 11826, 596, 4113, 57886, 9846, 311, 279, 21959, 477, 6576, 477, 39371, 13, 41315, 315, 2574, 617, 5614, 1990, 430, 9846, 323, 279, 5150, 4101, 320, 2000, 2937, 11, 912, 3021, 22217, 1990, 12565, 19435, 11, 87410, 64, 11, 323, 50595, 290, 1131, 8051, 1070, 596, 2103, 1403, 6603, 2163, 1131, 705, 719, 358, 617, 1579, 16388, 0, 90964, 956, 2231, 856, 3300, 389, 904, 315, 1124, 11, 3582, 13, 128001, 128000, 791, 3352, 6985, 11, 477, 14174, 762, 391, 11, 374, 264, 15907, 309, 590, 11, 264, 19596, 17685, 32762, 1139, 264, 88932, 13, 32944, 449, 279, 259, 67337, 323, 5103, 324, 11, 279, 3352, 6985, 8779, 311, 1304, 709, 279, 22095, 10496, 13, 9062, 315, 1521, 25896, 374, 9960, 449, 7558, 88076, 1405, 279, 7479, 19015, 449, 2500, 7479, 13, 7874, 15319, 311, 279, 14174, 762, 391, 21736, 23948, 315, 279, 3352, 27978, 88932, 323, 5674, 311, 279, 7558, 88076, 13, 91554, 311, 61705, 6784, 20259, 279, 24569, 315, 279, 22095, 10496, 627, 24284, 15166, 3216, 198, 791, 4156, 3094, 709, 649, 387, 1511, 311, 1520, 1977, 20259, 304, 279, 3352, 27978, 88932, 13, 2057, 2804, 264, 4156, 3094, 709, 11, 2035, 264, 220, 19, 25224, 17560, 1579, 7479, 304, 4156, 315, 499, 323, 2559, 220, 717, 311, 220, 845, 15271, 4920, 13, 15166, 8800, 279, 9408, 7479, 449, 701, 2163, 4579, 1176, 11, 1701, 701, 90805, 311, 4933, 499, 11, 1243, 4546, 709, 701, 1314, 4579, 13, 15166, 1203, 1523, 449, 701, 2163, 4579, 1176, 323, 13454, 279, 10368, 6041, 449, 701, 1314, 4579, 13, 75824, 1990, 7693, 11, 16785, 832, 311, 2380, 7437, 315, 220, 605, 311, 220, 508, 86066, 627, 51489, 58146, 8800, 13731, 21987, 1334, 5256, 13176, 279, 13731, 13, 15166, 709, 8800, 279, 13731, 449, 701, 1314, 4579, 13, 15166, 709, 449, 701, 2163, 4579, 13, 15166, 1523, 449, 701, 1314, 4579, 323, 1243, 1523, 449, 701, 2163, 627, 791, 11509, 326, 14208, 374, 459, 10368, 430, 8779, 311, 20259, 279, 13057, 355, 1812, 18159, 1536, 747, 14295, 16124, 389, 279, 4871, 315, 279, 39771, 3221, 279, 22095, 323, 279, 2840, 1088, 355, 1812, 9334, 16124, 389, 279, 4994, 315, 279, 18638, 13, 4314, 24569, 12576, 304, 279, 15194, 315, 279, 14174, 762, 391, 304, 279, 4495, 1853, 323, 279, 31135, 704, 315, 279, 8603, 6957, 279, 10496, 13, 15948, 449, 279, 15902, 22095, 304, 4156, 315, 279, 1023, 13, 15166, 4741, 323, 37920, 279, 22095, 3156, 499, 2733, 701, 9358, 39771, 16124, 14841, 323, 14297, 471, 311, 279, 6041, 2361, 13, 13969, 279, 22095, 4741, 1418, 16785, 420, 23783, 323, 656, 1403, 7437, 315, 220, 605, 86066, 627, 50, 15154, 98312, 27571, 198, 50, 15154, 22095, 20300, 19579, 264, 13957, 7200, 690, 1520, 311, 20259, 279, 30236, 75669, 16124, 439, 1664, 439, 279, 3352, 27978, 88932, 13, 59825, 264, 13957, 7200, 311, 279, 4827, 2531, 315, 264, 10716, 13, 29508, 304, 279, 10716, 449, 701, 15902, 22095, 30280, 323, 18623, 279, 1023, 842, 315, 279, 13957, 7200, 2212, 701, 39448, 13, 6104, 10494, 701, 1203, 7833, 11, 67845, 701, 30236, 75669, 16124, 323, 14297, 4933, 701, 2531, 709, 11, 18579, 369, 2380, 6622, 323, 14297, 4827, 279, 2531, 311, 279, 6041, 2361, 13, 26050, 420, 10368, 304, 2380, 7437, 315, 220, 605, 86066, 627, 41041, 928, 79438, 44082, 13, 40980, 17366, 198, 29012, 52273, 315, 3352, 27978, 6784, 7170, 14794, 439, 279, 1121, 315, 52192, 68331, 11, 304, 420, 1162, 1990, 279, 90805, 323, 279, 30236, 75669, 24569, 13, 59825, 264, 13957, 7200, 311, 459, 17543, 1486, 323, 18623, 279, 1023, 842, 311, 279, 39448, 315, 701, 15902, 2531, 13, 22213, 389, 701, 23152, 449, 279, 4827, 961, 315, 701, 15902, 2531, 520, 264, 220, 1954, 38775, 9392, 311, 279, 8582, 961, 13, 39247, 398, 6958, 279, 2531, 9017, 701, 98035, 14895, 1418, 77880, 701, 90805, 16124, 13, 26050, 420, 10368, 304, 2380, 7437, 315, 220, 605, 86066, 13, 128001 ]
[ -100, 4438, 311, 13313, 24248, 2436, 449, 42135, 1221, 73528, 82, 198, 46864, 499, 527, 21630, 369, 701, 6498, 32528, 1620, 323, 499, 617, 311, 5249, 1403, 5552, 23719, 3871, 13, 3861, 1648, 311, 656, 430, 374, 555, 1701, 66515, 32546, 82, 13, 1472, 3207, 11537, 449, 1521, 4279, 4339, 25, 369, 11, 719, 11, 3686, 11, 779, 11, 6463, 11, 323, 11, 323, 477, 13, 320, 3112, 374, 279, 1455, 5526, 11, 369, 1884, 315, 499, 10494, 3839, 29275, 9673, 2697, 2410, 37841, 8343, 872, 68798, 323, 12157, 14661, 1475, 1938, 13, 11205, 2890, 1285, 26870, 1304, 1124, 3831, 3403, 311, 5249, 4686, 23719, 13, 2435, 1253, 1101, 52696, 682, 21522, 315, 6273, 69225, 62172, 5540, 13, 5810, 814, 527, 304, 1957, 11, 18667, 4686, 23719, 512, 791, 11422, 281, 3903, 291, 3765, 1215, 753, 18004, 7013, 11, 323, 813, 6307, 72426, 15653, 1051, 6724, 47168, 627, 791, 12432, 3309, 350, 25041, 311, 1495, 279, 2686, 315, 279, 10960, 311, 5127, 11, 719, 350, 25041, 1047, 912, 4623, 1405, 279, 10960, 574, 627, 2675, 649, 1935, 264, 35331, 11, 477, 499, 649, 7940, 1022, 264, 44106, 627, 25584, 1550, 539, 1440, 1268, 311, 30077, 264, 15580, 11, 6463, 1550, 568, 3619, 3312, 483, 31018, 627, 791, 25861, 16455, 32393, 279, 14708, 11, 369, 814, 1047, 6755, 264, 59001, 922, 21270, 4359, 10126, 627, 791, 16580, 32546, 82, 3041, 6273, 25679, 311, 279, 5540, 814, 5249, 13, 763, 279, 38846, 23719, 11, 279, 6848, 389, 832, 3185, 315, 279, 32546, 617, 912, 810, 12939, 1109, 279, 6848, 389, 279, 1023, 3185, 315, 279, 32546, 627, 4599, 279, 32546, 82, 323, 11, 719, 11, 477, 11, 6463, 11, 323, 369, 52696, 1403, 4686, 23719, 11, 264, 32783, 16599, 288, 279, 32546, 627, 8538, 4339, 5101, 311, 387, 3831, 3403, 311, 5249, 23719, 11, 719, 304, 8903, 814, 3207, 1120, 264, 15860, 315, 220, 3264, 48730, 7621, 19342, 13, 21834, 315, 1521, 4339, 439, 7752, 889, 6392, 40086, 304, 872, 43475, 11, 6968, 293, 75669, 2085, 279, 47947, 315, 2133, 311, 279, 19343, 13, 4314, 87819, 1253, 1427, 1695, 11, 719, 279, 9568, 499, 1205, 1124, 311, 3820, 709, 264, 11092, 477, 2555, 11, 814, 3207, 3925, 627, 4139, 5249, 388, 2997, 4869, 11, 52394, 11, 9093, 11, 44643, 11, 1101, 11, 323, 78637, 13, 5560, 1521, 4339, 311, 923, 7438, 311, 701, 23719, 719, 539, 311, 38561, 279, 23719, 3871, 13, 3277, 499, 1518, 1521, 4339, 389, 264, 51114, 7151, 11, 387, 16994, 0, 362, 7075, 1296, 84701, 14397, 374, 311, 281, 23085, 1521, 4339, 1139, 264, 1629, 10539, 13, 12040, 264, 1427, 520, 1521, 10507, 512, 6869, 10539, 25, 28120, 263, 342, 92046, 279, 12224, 23425, 11, 52394, 11, 74232, 1047, 4400, 311, 8343, 627, 34192, 291, 2373, 220, 16, 25, 28120, 263, 342, 92046, 279, 12224, 23425, 26, 52394, 11, 74232, 1047, 4400, 311, 8343, 627, 34192, 291, 2373, 220, 17, 25, 28120, 263, 342, 92046, 279, 12224, 23425, 13, 53123, 11, 74232, 1047, 4400, 311, 8343, 627, 35293, 279, 5347, 39617, 304, 279, 1176, 37065, 11914, 30, 328, 8274, 337, 2439, 527, 13890, 311, 16580, 32546, 82, 13, 10771, 311, 279, 23479, 63077, 1122, 596, 18592, 6017, 320, 8370, 3250, 956, 3073, 705, 5347, 27561, 2439, 649, 5249, 1403, 4686, 23719, 1234, 3738, 4787, 627, 2409, 701, 17676, 6548, 11, 499, 4762, 30652, 264, 32783, 1306, 52394, 304, 1855, 315, 279, 38846, 10507, 13, 29937, 76, 30627, 18046, 922, 3508, 499, 2011, 2035, 264, 32783, 1306, 264, 905, 5249, 261, 13, 320, 2520, 279, 3335, 11, 905, 5249, 388, 527, 16898, 20526, 535, 1008, 56039, 13, 2360, 832, 304, 279, 4553, 15861, 3966, 311, 1440, 430, 4751, 6266, 4427, 69225, 30627, 2019, 430, 279, 32783, 374, 5995, 13, 26080, 1518, 279, 32783, 439, 10309, 2001, 264, 3488, 315, 4443, 1742, 13, 1115, 374, 279, 3460, 315, 5811, 430, 3727, 69225, 30627, 10728, 11426, 369, 66904, 5469, 31537, 13, 128001, -100, 7532, 54, 220, 777, 13, 2545, 13, 13364, 25, 5475, 389, 19607, 994, 23702, 519, 539, 1766, 2345, 34255, 2345, 43041, 2345, 15289, 82, 627, 4599, 459, 5502, 9879, 1234, 420, 12735, 11, 477, 1202, 4872, 11, 96491, 11, 477, 30139, 9808, 11, 4250, 387, 1766, 1306, 29546, 97653, 5149, 11, 279, 19607, 315, 1614, 2011, 387, 459, 8479, 315, 1778, 5502, 5304, 8884, 1920, 1253, 387, 10434, 13, 5475, 389, 279, 19607, 2011, 387, 1903, 555, 24944, 311, 279, 19607, 477, 279, 19607, 596, 2955, 2176, 23329, 11236, 315, 1778, 1920, 11, 323, 264, 26559, 11307, 311, 387, 9749, 555, 6037, 315, 279, 19607, 13, 2684, 59723, 11, 279, 19607, 2011, 7214, 5353, 832, 315, 279, 11236, 311, 387, 53346, 311, 279, 23702, 519, 520, 279, 1455, 1510, 2686, 6982, 304, 279, 19607, 596, 3626, 13, 5884, 2532, 389, 279, 19607, 2011, 387, 471, 481, 304, 539, 2753, 1109, 27219, 2919, 627, 8780, 11307, 1234, 420, 3857, 1253, 387, 59453, 439, 7194, 304, 279, 1957, 627, 791, 19607, 2011, 10519, 264, 3335, 315, 682, 1920, 10434, 389, 279, 19607, 1234, 420, 3857, 11, 323, 2011, 3335, 279, 2457, 315, 2532, 323, 279, 19607, 596, 1957, 627, 24714, 304, 420, 3857, 13693, 477, 22223, 279, 1314, 311, 8854, 1920, 2631, 477, 15480, 311, 387, 10434, 389, 264, 23702, 519, 304, 904, 1023, 11827, 1457, 477, 1618, 10924, 15480, 555, 2383, 13, 128001, -100, 6540, 19995, 12517, 5492, 449, 8821, 5496, 3158, 627, 5618, 5296, 11, 304, 279, 1888, 12034, 315, 2225, 279, 41247, 323, 279, 41016, 11, 584, 8720, 279, 19160, 79010, 369, 1855, 32368, 555, 38714, 279, 8175, 439, 264, 11668, 315, 17496, 8070, 13, 1442, 279, 5064, 12, 55674, 12447, 315, 220, 1644, 4, 374, 34908, 11, 584, 690, 539, 10570, 449, 459, 3851, 13, 2057, 5766, 41698, 11, 584, 4284, 499, 11294, 701, 8824, 311, 10150, 420, 3424, 555, 19486, 420, 15150, 25, 8175, 1717, 115, 701, 2860, 17496, 8070, 865, 220, 1041, 13, 1442, 279, 4320, 374, 7191, 1109, 220, 1644, 11, 5496, 304, 420, 3424, 1253, 2035, 499, 304, 279, 6671, 315, 8175, 8631, 627, 2520, 1884, 7366, 311, 2893, 8039, 288, 531, 11, 279, 88275, 374, 459, 6596, 596, 6678, 505, 279, 4219, 315, 47335, 323, 279, 7573, 16377, 13, 64348, 315, 279, 6424, 649, 2680, 264, 7029, 2134, 315, 6593, 11, 6020, 323, 1023, 6721, 3600, 13, 1442, 499, 617, 2978, 20330, 2911, 11, 499, 690, 617, 264, 5873, 315, 586, 323, 879, 8853, 13, 2684, 374, 1101, 264, 17226, 2134, 315, 36027, 323, 47044, 13077, 627, 25696, 6261, 5496, 520, 220, 1758, 52194, 16542, 11, 2893, 8039, 288, 531, 13, 1472, 1436, 5246, 1650, 420, 2294, 2035, 2162, 323, 4774, 682, 279, 304, 24436, 25, 7373, 84493, 323, 3805, 59105, 287, 13, 128001, -100, 2460, 856, 27672, 527, 2103, 13989, 13, 551, 18, 358, 2846, 539, 2771, 422, 8409, 393, 9933, 374, 2103, 13989, 11, 3604, 13, 1628, 358, 3077, 2751, 1579, 16388, 1606, 3892, 315, 856, 27672, 527, 9932, 304, 279, 330, 20370, 85, 535, 311, 279, 842, 1, 961, 315, 11826, 596, 4113, 57886, 9846, 311, 279, 21959, 477, 6576, 477, 39371, 13, 41315, 315, 2574, 617, 5614, 1990, 430, 9846, 323, 279, 5150, 4101, 320, 2000, 2937, 11, 912, 3021, 22217, 1990, 12565, 19435, 11, 87410, 64, 11, 323, 50595, 290, 1131, 8051, 1070, 596, 2103, 1403, 6603, 2163, 1131, 705, 719, 358, 617, 1579, 16388, 0, 90964, 956, 2231, 856, 3300, 389, 904, 315, 1124, 11, 3582, 13, 128001, -100, 791, 3352, 6985, 11, 477, 14174, 762, 391, 11, 374, 264, 15907, 309, 590, 11, 264, 19596, 17685, 32762, 1139, 264, 88932, 13, 32944, 449, 279, 259, 67337, 323, 5103, 324, 11, 279, 3352, 6985, 8779, 311, 1304, 709, 279, 22095, 10496, 13, 9062, 315, 1521, 25896, 374, 9960, 449, 7558, 88076, 1405, 279, 7479, 19015, 449, 2500, 7479, 13, 7874, 15319, 311, 279, 14174, 762, 391, 21736, 23948, 315, 279, 3352, 27978, 88932, 323, 5674, 311, 279, 7558, 88076, 13, 91554, 311, 61705, 6784, 20259, 279, 24569, 315, 279, 22095, 10496, 627, 24284, 15166, 3216, 198, 791, 4156, 3094, 709, 649, 387, 1511, 311, 1520, 1977, 20259, 304, 279, 3352, 27978, 88932, 13, 2057, 2804, 264, 4156, 3094, 709, 11, 2035, 264, 220, 19, 25224, 17560, 1579, 7479, 304, 4156, 315, 499, 323, 2559, 220, 717, 311, 220, 845, 15271, 4920, 13, 15166, 8800, 279, 9408, 7479, 449, 701, 2163, 4579, 1176, 11, 1701, 701, 90805, 311, 4933, 499, 11, 1243, 4546, 709, 701, 1314, 4579, 13, 15166, 1203, 1523, 449, 701, 2163, 4579, 1176, 323, 13454, 279, 10368, 6041, 449, 701, 1314, 4579, 13, 75824, 1990, 7693, 11, 16785, 832, 311, 2380, 7437, 315, 220, 605, 311, 220, 508, 86066, 627, 51489, 58146, 8800, 13731, 21987, 1334, 5256, 13176, 279, 13731, 13, 15166, 709, 8800, 279, 13731, 449, 701, 1314, 4579, 13, 15166, 709, 449, 701, 2163, 4579, 13, 15166, 1523, 449, 701, 1314, 4579, 323, 1243, 1523, 449, 701, 2163, 627, 791, 11509, 326, 14208, 374, 459, 10368, 430, 8779, 311, 20259, 279, 13057, 355, 1812, 18159, 1536, 747, 14295, 16124, 389, 279, 4871, 315, 279, 39771, 3221, 279, 22095, 323, 279, 2840, 1088, 355, 1812, 9334, 16124, 389, 279, 4994, 315, 279, 18638, 13, 4314, 24569, 12576, 304, 279, 15194, 315, 279, 14174, 762, 391, 304, 279, 4495, 1853, 323, 279, 31135, 704, 315, 279, 8603, 6957, 279, 10496, 13, 15948, 449, 279, 15902, 22095, 304, 4156, 315, 279, 1023, 13, 15166, 4741, 323, 37920, 279, 22095, 3156, 499, 2733, 701, 9358, 39771, 16124, 14841, 323, 14297, 471, 311, 279, 6041, 2361, 13, 13969, 279, 22095, 4741, 1418, 16785, 420, 23783, 323, 656, 1403, 7437, 315, 220, 605, 86066, 627, 50, 15154, 98312, 27571, 198, 50, 15154, 22095, 20300, 19579, 264, 13957, 7200, 690, 1520, 311, 20259, 279, 30236, 75669, 16124, 439, 1664, 439, 279, 3352, 27978, 88932, 13, 59825, 264, 13957, 7200, 311, 279, 4827, 2531, 315, 264, 10716, 13, 29508, 304, 279, 10716, 449, 701, 15902, 22095, 30280, 323, 18623, 279, 1023, 842, 315, 279, 13957, 7200, 2212, 701, 39448, 13, 6104, 10494, 701, 1203, 7833, 11, 67845, 701, 30236, 75669, 16124, 323, 14297, 4933, 701, 2531, 709, 11, 18579, 369, 2380, 6622, 323, 14297, 4827, 279, 2531, 311, 279, 6041, 2361, 13, 26050, 420, 10368, 304, 2380, 7437, 315, 220, 605, 86066, 627, 41041, 928, 79438, 44082, 13, 40980, 17366, 198, 29012, 52273, 315, 3352, 27978, 6784, 7170, 14794, 439, 279, 1121, 315, 52192, 68331, 11, 304, 420, 1162, 1990, 279, 90805, 323, 279, 30236, 75669, 24569, 13, 59825, 264, 13957, 7200, 311, 459, 17543, 1486, 323, 18623, 279, 1023, 842, 311, 279, 39448, 315, 701, 15902, 2531, 13, 22213, 389, 701, 23152, 449, 279, 4827, 961, 315, 701, 15902, 2531, 520, 264, 220, 1954, 38775, 9392, 311, 279, 8582, 961, 13, 39247, 398, 6958, 279, 2531, 9017, 701, 98035, 14895, 1418, 77880, 701, 90805, 16124, 13, 26050, 420, 10368, 304, 2380, 7437, 315, 220, 605, 86066, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576 ]
[ 128000, 10267, 279, 5044, 315, 1183, 18339, 387, 449, 603, 16058, 627, 66497, 376, 799, 1054, 1305, 18339, 863, 48644, 11, 28530, 323, 29329, 6691, 11, 39284, 11, 2294, 72102, 27510, 11, 323, 36504, 30169, 753, 362, 579, 520, 12404, 14024, 15394, 753, 5955, 304, 44027, 11, 9362, 11, 5946, 3201, 67879, 520, 2162, 389, 6790, 220, 19, 11, 220, 2366, 15, 520, 279, 4325, 315, 220, 6365, 1306, 264, 10015, 8209, 449, 44531, 753, 8624, 627, 1305, 18339, 374, 26968, 555, 1077, 21955, 2911, 96425, 3402, 12252, 320, 438, 10177, 8563, 705, 19816, 48644, 11, 323, 3842, 48644, 26, 1077, 50851, 11, 81349, 9084, 339, 689, 3972, 320, 438, 10177, 37453, 705, 2947, 11377, 3402, 12252, 11, 323, 3842, 14308, 48644, 26, 323, 1077, 2294, 72102, 5988, 11, 1628, 648, 9084, 339, 689, 3972, 323, 8683, 9084, 339, 689, 3972, 627, 1305, 18339, 574, 9405, 304, 30781, 11, 9362, 389, 6841, 220, 1627, 11, 220, 5926, 22, 11, 719, 14264, 709, 304, 279, 2678, 6424, 315, 88120, 11, 9362, 304, 88409, 94144, 6406, 13, 3005, 7882, 1203, 311, 279, 9332, 12299, 36113, 304, 279, 220, 6393, 15, 753, 323, 23183, 304, 64912, 8270, 11, 9362, 1405, 1364, 9408, 1077, 2380, 2911, 13, 1183, 18339, 1243, 7882, 311, 44027, 11, 9362, 304, 220, 3753, 16, 311, 3974, 449, 1077, 10003, 96425, 323, 1077, 3070, 13, 763, 5587, 315, 220, 3753, 17, 11, 1364, 3940, 3318, 439, 264, 30169, 753, 362, 579, 520, 12404, 14024, 15394, 753, 5955, 7559, 520, 3842, 4593, 7211, 41763, 304, 44027, 11, 9362, 13, 1183, 18339, 574, 3967, 439, 279, 1054, 41251, 1764, 315, 12404, 14024, 863, 323, 1053, 733, 389, 311, 990, 520, 279, 2911, 753, 4219, 369, 927, 220, 966, 1667, 11, 5616, 60873, 520, 279, 4325, 315, 220, 2421, 13, 3005, 11112, 10456, 3318, 449, 279, 2911, 323, 5687, 520, 279, 4219, 13, 578, 2911, 1051, 6981, 291, 555, 1077, 22785, 45972, 323, 30481, 13, 763, 2543, 11, 279, 2911, 8774, 1183, 18339, 596, 65655, 9090, 4602, 1534, 13, 1666, 264, 61300, 311, 1077, 3021, 369, 1077, 12404, 14024, 3070, 11, 1183, 18339, 753, 3130, 6244, 264, 98002, 315, 296, 1133, 437, 11, 1989, 7224, 11, 323, 21258, 2728, 311, 1077, 927, 279, 1667, 627, 4599, 1183, 18339, 5828, 1431, 3318, 520, 12404, 14024, 11, 1364, 14333, 10374, 4367, 892, 449, 1077, 3070, 323, 4885, 13, 3005, 1436, 3629, 387, 1766, 11961, 389, 279, 45747, 52067, 449, 264, 3070, 4562, 323, 274, 5772, 264, 10747, 315, 11033, 13, 1183, 18339, 574, 459, 56653, 6742, 889, 1053, 8395, 1555, 6603, 10819, 1109, 1455, 13, 3005, 5423, 14333, 5403, 30363, 32963, 11, 449, 73645, 31248, 1694, 1077, 7075, 3229, 13, 3005, 11112, 10456, 279, 1933, 25977, 902, 499, 1053, 6288, 4048, 1288, 499, 4034, 1077, 14150, 13, 1183, 18339, 574, 539, 33394, 922, 20806, 1274, 1440, 1364, 40060, 4147, 279, 1933, 14071, 13, 1115, 374, 1120, 832, 3187, 315, 1077, 68232, 17743, 13, 1183, 18339, 1053, 74106, 3177, 709, 994, 1364, 4036, 19837, 323, 574, 5423, 21901, 315, 25977, 13631, 402, 1693, 45705, 853, 64, 11012, 627, 1305, 18339, 54299, 63081, 449, 1274, 315, 682, 17051, 323, 36576, 13, 9029, 1051, 18182, 15107, 311, 1077, 10437, 11, 8830, 11, 69130, 11, 323, 2523, 17743, 13, 3005, 574, 264, 1633, 28771, 1732, 26, 4423, 889, 1053, 3041, 499, 279, 15845, 1022, 1077, 1203, 13, 3005, 574, 48887, 11, 9989, 54679, 11, 323, 26259, 11, 5605, 1054, 12947, 264, 34629, 18319, 311, 5127, 889, 1550, 1524, 279, 25655, 4799, 369, 1077, 13, 1183, 18339, 1047, 264, 6908, 4851, 323, 459, 1524, 11493, 10437, 26588, 13, 3005, 14333, 1120, 922, 1475, 955, 315, 43849, 449, 30564, 12556, 76486, 32839, 1694, 1077, 10973, 7075, 13, 3005, 7846, 1431, 636, 3403, 76657, 323, 3629, 80608, 1054, 1951, 2176, 301, 9824, 18319, 1306, 25270, 1022, 264, 39953, 4322, 627, 1305, 18339, 596, 3070, 8964, 430, 1364, 24891, 1690, 1274, 596, 6439, 323, 3987, 430, 420, 39017, 3997, 690, 3493, 264, 5452, 369, 1274, 311, 4430, 19459, 323, 7493, 315, 1057, 28530, 323, 832, 8838, 7561, 60806, 1183, 18339, 13, 3005, 574, 459, 17235, 30598, 11, 60961, 11, 323, 28771, 1732, 889, 1053, 3041, 499, 279, 15845, 1022, 1077, 1203, 13, 1183, 18339, 574, 264, 2466, 29115, 369, 10695, 1884, 304, 1205, 13, 1628, 11, 304, 1521, 1510, 17436, 3115, 11, 1070, 527, 810, 1274, 1109, 3596, 889, 1205, 1520, 13, 5321, 2980, 3339, 264, 25968, 311, 832, 315, 1183, 18339, 753, 7075, 11351, 26, 220, 16, 8, 12369, 8715, 315, 1221, 2221, 32380, 612, 11730, 5770, 26, 220, 17, 8, 800, 13, 62734, 15394, 596, 8483, 15429, 26, 220, 18, 8, 80346, 37, 7505, 822, 544, 15394, 596, 85397, 5114, 627, 1305, 18339, 574, 779, 1690, 2574, 311, 779, 1690, 1274, 13, 2030, 311, 757, 11, 358, 2744, 6227, 1077, 439, 1694, 6981, 13, 1666, 264, 3995, 1716, 11, 1364, 574, 264, 6220, 11, 21955, 39284, 7216, 311, 757, 13, 3005, 72524, 682, 315, 603, 520, 12404, 14024, 323, 584, 10456, 1077, 779, 1633, 1790, 13, 3277, 358, 2751, 9191, 11, 1183, 18339, 574, 2103, 279, 1890, 21955, 1732, 719, 1101, 264, 4333, 889, 1047, 264, 11364, 5647, 315, 28485, 323, 1903, 5127, 15648, 13, 1183, 18339, 323, 856, 3450, 1047, 264, 1633, 3361, 11049, 13, 3092, 3450, 10456, 1077, 779, 323, 1183, 18339, 574, 264, 2592, 315, 6981, 369, 757, 994, 856, 3450, 5946, 3201, 13, 358, 1097, 779, 43788, 311, 617, 1047, 1183, 18339, 439, 264, 4333, 323, 439, 3361, 961, 315, 856, 2324, 627, 12805, 13, 5304, 264, 892, 1070, 574, 264, 3361, 2035, 1405, 1183, 18339, 1766, 264, 2162, 3201, 505, 2162, 13, 12404, 14024, 15394, 596, 5955, 11, 889, 32069, 1183, 18339, 311, 16136, 304, 4857, 420, 2162, 3201, 505, 2162, 369, 279, 9214, 315, 2911, 1174, 889, 11, 439, 12404, 16621, 10863, 11, 1766, 682, 315, 279, 8056, 3021, 323, 30598, 430, 1183, 18339, 596, 2466, 4851, 369, 2911, 79578, 1124, 13, 46982, 682, 315, 1077, 1667, 449, 12404, 14024, 11, 1077, 30598, 7138, 11838, 311, 682, 315, 1077, 12637, 5687, 11, 323, 574, 5423, 15324, 439, 264, 961, 315, 1475, 3070, 430, 1364, 32069, 7446, 627, 1305, 18339, 596, 1317, 2324, 574, 1664, 7543, 11, 323, 358, 1440, 430, 682, 889, 1047, 279, 26632, 315, 10374, 892, 449, 1077, 11, 32726, 1690, 19459, 439, 1633, 3361, 627, 4291, 3021, 11, 1183, 18339, 8054, 40, 4353, 40412, 1057, 27607, 627, 1305, 18339, 11, 358, 14333, 499, 779, 1790, 520, 12404, 14024, 13, 358, 1440, 499, 527, 709, 304, 23070, 10307, 927, 603, 13, 2100, 1690, 1274, 499, 617, 24891, 304, 701, 2324, 892, 13, 1472, 527, 13942, 358, 690, 3021, 499, 16058, 627, 1305, 18339, 304, 220, 6393, 20, 14, 6393, 21, 13, 11064, 8667, 555, 1183, 18339, 330, 38, 531, 648, 702, 1305, 18339, 304, 507, 27793, 11, 28621, 11, 19367, 220, 2550, 15, 13, 3005, 1071, 279, 8577, 574, 832, 315, 279, 22020, 315, 1077, 2324, 4999, 128001, 128000, 62406, 12943, 374, 264, 3169, 315, 8798, 17563, 11, 42418, 279, 2547, 9499, 46649, 43398, 7953, 4725, 2237, 4245, 311, 8798, 14675, 320, 105516, 315, 30945, 461, 70, 2987, 570, 14285, 781, 20274, 279, 5845, 311, 7155, 5196, 1523, 555, 81366, 4245, 311, 8798, 12943, 13, 25531, 15246, 311, 1579, 20472, 369, 264, 44387, 9575, 477, 3318, 1234, 7160, 2391, 7474, 3280, 22223, 832, 753, 2547, 753, 6067, 14718, 4814, 315, 56406, 13, 1666, 264, 29774, 11, 279, 2547, 19159, 810, 8798, 1109, 1202, 5845, 311, 4984, 627, 2181, 374, 264, 9200, 3044, 11, 902, 7612, 6666, 311, 5471, 279, 5208, 315, 8798, 12943, 13, 1442, 832, 11704, 8798, 12943, 11, 568, 57695, 1587, 539, 8356, 3403, 28566, 311, 7155, 1523, 279, 2547, 11, 902, 25930, 279, 2547, 753, 9499, 323, 11384, 8798, 70663, 13, 5629, 34824, 315, 8798, 12943, 2997, 50690, 11, 47846, 323, 294, 97745, 13, 4314, 13803, 527, 8272, 555, 12195, 1778, 439, 28639, 6930, 323, 61880, 627, 34, 1711, 264, 27162, 70034, 198, 71251, 8798, 12943, 323, 1202, 13803, 1514, 264, 16595, 3560, 304, 97330, 433, 13, 1442, 832, 706, 38141, 477, 11704, 13803, 315, 264, 8798, 12943, 11, 2768, 10631, 1253, 1520, 23075, 279, 3044, 627, 4518, 810, 9908, 389, 27162, 70034, 198, 1271, 5766, 8798, 12943, 11, 832, 2011, 3619, 1202, 15635, 323, 6372, 4217, 810, 198, 62406, 12943, 11, 264, 1376, 315, 17508, 700, 91299, 11, 649, 387, 32098, 555, 8830, 279, 2547, 753, 38550, 311, 37377, 2547, 9499, 323, 555, 3339, 5149, 311, 4546, 433, 311, 279, 4725, 2237, 4217, 810, 128001 ]
[ -100, 10267, 279, 5044, 315, 1183, 18339, 387, 449, 603, 16058, 627, 66497, 376, 799, 1054, 1305, 18339, 863, 48644, 11, 28530, 323, 29329, 6691, 11, 39284, 11, 2294, 72102, 27510, 11, 323, 36504, 30169, 753, 362, 579, 520, 12404, 14024, 15394, 753, 5955, 304, 44027, 11, 9362, 11, 5946, 3201, 67879, 520, 2162, 389, 6790, 220, 19, 11, 220, 2366, 15, 520, 279, 4325, 315, 220, 6365, 1306, 264, 10015, 8209, 449, 44531, 753, 8624, 627, 1305, 18339, 374, 26968, 555, 1077, 21955, 2911, 96425, 3402, 12252, 320, 438, 10177, 8563, 705, 19816, 48644, 11, 323, 3842, 48644, 26, 1077, 50851, 11, 81349, 9084, 339, 689, 3972, 320, 438, 10177, 37453, 705, 2947, 11377, 3402, 12252, 11, 323, 3842, 14308, 48644, 26, 323, 1077, 2294, 72102, 5988, 11, 1628, 648, 9084, 339, 689, 3972, 323, 8683, 9084, 339, 689, 3972, 627, 1305, 18339, 574, 9405, 304, 30781, 11, 9362, 389, 6841, 220, 1627, 11, 220, 5926, 22, 11, 719, 14264, 709, 304, 279, 2678, 6424, 315, 88120, 11, 9362, 304, 88409, 94144, 6406, 13, 3005, 7882, 1203, 311, 279, 9332, 12299, 36113, 304, 279, 220, 6393, 15, 753, 323, 23183, 304, 64912, 8270, 11, 9362, 1405, 1364, 9408, 1077, 2380, 2911, 13, 1183, 18339, 1243, 7882, 311, 44027, 11, 9362, 304, 220, 3753, 16, 311, 3974, 449, 1077, 10003, 96425, 323, 1077, 3070, 13, 763, 5587, 315, 220, 3753, 17, 11, 1364, 3940, 3318, 439, 264, 30169, 753, 362, 579, 520, 12404, 14024, 15394, 753, 5955, 7559, 520, 3842, 4593, 7211, 41763, 304, 44027, 11, 9362, 13, 1183, 18339, 574, 3967, 439, 279, 1054, 41251, 1764, 315, 12404, 14024, 863, 323, 1053, 733, 389, 311, 990, 520, 279, 2911, 753, 4219, 369, 927, 220, 966, 1667, 11, 5616, 60873, 520, 279, 4325, 315, 220, 2421, 13, 3005, 11112, 10456, 3318, 449, 279, 2911, 323, 5687, 520, 279, 4219, 13, 578, 2911, 1051, 6981, 291, 555, 1077, 22785, 45972, 323, 30481, 13, 763, 2543, 11, 279, 2911, 8774, 1183, 18339, 596, 65655, 9090, 4602, 1534, 13, 1666, 264, 61300, 311, 1077, 3021, 369, 1077, 12404, 14024, 3070, 11, 1183, 18339, 753, 3130, 6244, 264, 98002, 315, 296, 1133, 437, 11, 1989, 7224, 11, 323, 21258, 2728, 311, 1077, 927, 279, 1667, 627, 4599, 1183, 18339, 5828, 1431, 3318, 520, 12404, 14024, 11, 1364, 14333, 10374, 4367, 892, 449, 1077, 3070, 323, 4885, 13, 3005, 1436, 3629, 387, 1766, 11961, 389, 279, 45747, 52067, 449, 264, 3070, 4562, 323, 274, 5772, 264, 10747, 315, 11033, 13, 1183, 18339, 574, 459, 56653, 6742, 889, 1053, 8395, 1555, 6603, 10819, 1109, 1455, 13, 3005, 5423, 14333, 5403, 30363, 32963, 11, 449, 73645, 31248, 1694, 1077, 7075, 3229, 13, 3005, 11112, 10456, 279, 1933, 25977, 902, 499, 1053, 6288, 4048, 1288, 499, 4034, 1077, 14150, 13, 1183, 18339, 574, 539, 33394, 922, 20806, 1274, 1440, 1364, 40060, 4147, 279, 1933, 14071, 13, 1115, 374, 1120, 832, 3187, 315, 1077, 68232, 17743, 13, 1183, 18339, 1053, 74106, 3177, 709, 994, 1364, 4036, 19837, 323, 574, 5423, 21901, 315, 25977, 13631, 402, 1693, 45705, 853, 64, 11012, 627, 1305, 18339, 54299, 63081, 449, 1274, 315, 682, 17051, 323, 36576, 13, 9029, 1051, 18182, 15107, 311, 1077, 10437, 11, 8830, 11, 69130, 11, 323, 2523, 17743, 13, 3005, 574, 264, 1633, 28771, 1732, 26, 4423, 889, 1053, 3041, 499, 279, 15845, 1022, 1077, 1203, 13, 3005, 574, 48887, 11, 9989, 54679, 11, 323, 26259, 11, 5605, 1054, 12947, 264, 34629, 18319, 311, 5127, 889, 1550, 1524, 279, 25655, 4799, 369, 1077, 13, 1183, 18339, 1047, 264, 6908, 4851, 323, 459, 1524, 11493, 10437, 26588, 13, 3005, 14333, 1120, 922, 1475, 955, 315, 43849, 449, 30564, 12556, 76486, 32839, 1694, 1077, 10973, 7075, 13, 3005, 7846, 1431, 636, 3403, 76657, 323, 3629, 80608, 1054, 1951, 2176, 301, 9824, 18319, 1306, 25270, 1022, 264, 39953, 4322, 627, 1305, 18339, 596, 3070, 8964, 430, 1364, 24891, 1690, 1274, 596, 6439, 323, 3987, 430, 420, 39017, 3997, 690, 3493, 264, 5452, 369, 1274, 311, 4430, 19459, 323, 7493, 315, 1057, 28530, 323, 832, 8838, 7561, 60806, 1183, 18339, 13, 3005, 574, 459, 17235, 30598, 11, 60961, 11, 323, 28771, 1732, 889, 1053, 3041, 499, 279, 15845, 1022, 1077, 1203, 13, 1183, 18339, 574, 264, 2466, 29115, 369, 10695, 1884, 304, 1205, 13, 1628, 11, 304, 1521, 1510, 17436, 3115, 11, 1070, 527, 810, 1274, 1109, 3596, 889, 1205, 1520, 13, 5321, 2980, 3339, 264, 25968, 311, 832, 315, 1183, 18339, 753, 7075, 11351, 26, 220, 16, 8, 12369, 8715, 315, 1221, 2221, 32380, 612, 11730, 5770, 26, 220, 17, 8, 800, 13, 62734, 15394, 596, 8483, 15429, 26, 220, 18, 8, 80346, 37, 7505, 822, 544, 15394, 596, 85397, 5114, 627, 1305, 18339, 574, 779, 1690, 2574, 311, 779, 1690, 1274, 13, 2030, 311, 757, 11, 358, 2744, 6227, 1077, 439, 1694, 6981, 13, 1666, 264, 3995, 1716, 11, 1364, 574, 264, 6220, 11, 21955, 39284, 7216, 311, 757, 13, 3005, 72524, 682, 315, 603, 520, 12404, 14024, 323, 584, 10456, 1077, 779, 1633, 1790, 13, 3277, 358, 2751, 9191, 11, 1183, 18339, 574, 2103, 279, 1890, 21955, 1732, 719, 1101, 264, 4333, 889, 1047, 264, 11364, 5647, 315, 28485, 323, 1903, 5127, 15648, 13, 1183, 18339, 323, 856, 3450, 1047, 264, 1633, 3361, 11049, 13, 3092, 3450, 10456, 1077, 779, 323, 1183, 18339, 574, 264, 2592, 315, 6981, 369, 757, 994, 856, 3450, 5946, 3201, 13, 358, 1097, 779, 43788, 311, 617, 1047, 1183, 18339, 439, 264, 4333, 323, 439, 3361, 961, 315, 856, 2324, 627, 12805, 13, 5304, 264, 892, 1070, 574, 264, 3361, 2035, 1405, 1183, 18339, 1766, 264, 2162, 3201, 505, 2162, 13, 12404, 14024, 15394, 596, 5955, 11, 889, 32069, 1183, 18339, 311, 16136, 304, 4857, 420, 2162, 3201, 505, 2162, 369, 279, 9214, 315, 2911, 1174, 889, 11, 439, 12404, 16621, 10863, 11, 1766, 682, 315, 279, 8056, 3021, 323, 30598, 430, 1183, 18339, 596, 2466, 4851, 369, 2911, 79578, 1124, 13, 46982, 682, 315, 1077, 1667, 449, 12404, 14024, 11, 1077, 30598, 7138, 11838, 311, 682, 315, 1077, 12637, 5687, 11, 323, 574, 5423, 15324, 439, 264, 961, 315, 1475, 3070, 430, 1364, 32069, 7446, 627, 1305, 18339, 596, 1317, 2324, 574, 1664, 7543, 11, 323, 358, 1440, 430, 682, 889, 1047, 279, 26632, 315, 10374, 892, 449, 1077, 11, 32726, 1690, 19459, 439, 1633, 3361, 627, 4291, 3021, 11, 1183, 18339, 8054, 40, 4353, 40412, 1057, 27607, 627, 1305, 18339, 11, 358, 14333, 499, 779, 1790, 520, 12404, 14024, 13, 358, 1440, 499, 527, 709, 304, 23070, 10307, 927, 603, 13, 2100, 1690, 1274, 499, 617, 24891, 304, 701, 2324, 892, 13, 1472, 527, 13942, 358, 690, 3021, 499, 16058, 627, 1305, 18339, 304, 220, 6393, 20, 14, 6393, 21, 13, 11064, 8667, 555, 1183, 18339, 330, 38, 531, 648, 702, 1305, 18339, 304, 507, 27793, 11, 28621, 11, 19367, 220, 2550, 15, 13, 3005, 1071, 279, 8577, 574, 832, 315, 279, 22020, 315, 1077, 2324, 4999, 128001, -100, 62406, 12943, 374, 264, 3169, 315, 8798, 17563, 11, 42418, 279, 2547, 9499, 46649, 43398, 7953, 4725, 2237, 4245, 311, 8798, 14675, 320, 105516, 315, 30945, 461, 70, 2987, 570, 14285, 781, 20274, 279, 5845, 311, 7155, 5196, 1523, 555, 81366, 4245, 311, 8798, 12943, 13, 25531, 15246, 311, 1579, 20472, 369, 264, 44387, 9575, 477, 3318, 1234, 7160, 2391, 7474, 3280, 22223, 832, 753, 2547, 753, 6067, 14718, 4814, 315, 56406, 13, 1666, 264, 29774, 11, 279, 2547, 19159, 810, 8798, 1109, 1202, 5845, 311, 4984, 627, 2181, 374, 264, 9200, 3044, 11, 902, 7612, 6666, 311, 5471, 279, 5208, 315, 8798, 12943, 13, 1442, 832, 11704, 8798, 12943, 11, 568, 57695, 1587, 539, 8356, 3403, 28566, 311, 7155, 1523, 279, 2547, 11, 902, 25930, 279, 2547, 753, 9499, 323, 11384, 8798, 70663, 13, 5629, 34824, 315, 8798, 12943, 2997, 50690, 11, 47846, 323, 294, 97745, 13, 4314, 13803, 527, 8272, 555, 12195, 1778, 439, 28639, 6930, 323, 61880, 627, 34, 1711, 264, 27162, 70034, 198, 71251, 8798, 12943, 323, 1202, 13803, 1514, 264, 16595, 3560, 304, 97330, 433, 13, 1442, 832, 706, 38141, 477, 11704, 13803, 315, 264, 8798, 12943, 11, 2768, 10631, 1253, 1520, 23075, 279, 3044, 627, 4518, 810, 9908, 389, 27162, 70034, 198, 1271, 5766, 8798, 12943, 11, 832, 2011, 3619, 1202, 15635, 323, 6372, 4217, 810, 198, 62406, 12943, 11, 264, 1376, 315, 17508, 700, 91299, 11, 649, 387, 32098, 555, 8830, 279, 2547, 753, 38550, 311, 37377, 2547, 9499, 323, 555, 3339, 5149, 311, 4546, 433, 311, 279, 4725, 2237, 4217, 810, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 37, 1923, 5721, 14020, 18080, 198, 791, 435, 1923, 5721, 74248, 92041, 17236, 706, 1457, 6924, 279, 14016, 315, 420, 2294, 83763, 13, 1102, 596, 264, 1972, 17979, 612, 66041, 83763, 430, 6656, 311, 3339, 11003, 3673, 304, 279, 3389, 220, 777, 339, 28200, 1234, 22855, 83128, 21750, 11, 8767, 3339, 21130, 323, 37148, 32275, 13, 2435, 527, 51287, 1440, 369, 872, 53369, 503, 13602, 430, 1051, 6216, 520, 92586, 304, 7295, 13, 1472, 649, 2103, 4034, 279, 83763, 323, 814, 617, 1578, 3940, 5788, 13, 578, 14016, 527, 1511, 369, 4455, 323, 1855, 6841, 814, 3552, 279, 30619, 9333, 2373, 315, 5277, 304, 32501, 13, 358, 1505, 872, 9863, 17235, 10978, 323, 8013, 311, 279, 6332, 13, 435, 1923, 5721, 14020, 18080, 53369, 503, 13602, 617, 779, 1790, 3752, 358, 1781, 814, 690, 387, 5526, 369, 1690, 11, 1690, 1667, 13, 435, 1923, 5721, 374, 7559, 264, 2478, 8931, 10007, 315, 31447, 388, 10847, 11, 922, 33517, 8931, 46785, 315, 7295, 627, 791, 65547, 4375, 1888, 389, 6812, 13, 1102, 79664, 1555, 682, 279, 3770, 5448, 2539, 28935, 627, 37, 1923, 5721, 49654, 198, 40, 49614, 12131, 612, 55357, 483, 889, 1629, 279, 14964, 3997, 12514, 311, 435, 1923, 5721, 14020, 18080, 922, 420, 24623, 439, 358, 4934, 311, 387, 2771, 433, 574, 13513, 13, 1115, 955, 315, 51370, 291, 24623, 1051, 1633, 5526, 220, 1041, 1667, 4227, 323, 1690, 3419, 466, 552, 1903, 11028, 627, 1, 28487, 11, 578, 24623, 499, 617, 389, 701, 3997, 374, 8659, 435, 1923, 5721, 13, 2435, 1051, 1903, 304, 63027, 51370, 82, 11, 323, 279, 25212, 1051, 3779, 3010, 13, 7252, 92179, 11, 12131, 612, 55357, 483, 23811, 35897, 3997, 374, 1664, 5922, 17136, 26, 578, 3352, 2617, 323, 27230, 389, 420, 832, 527, 2216, 2294, 13, 1252, 47462, 627, 42315, 612, 55357, 483, 596, 21153, 1105, 13207, 198, 37, 1923, 5721, 5277, 1698, 91752, 650, 521, 198, 42315, 612, 55357, 483, 7664, 420, 93484, 439, 5277, 1698, 280, 1, 9470, 39003, 1051, 9124, 505, 279, 3389, 220, 777, 339, 9478, 323, 8738, 311, 387, 1903, 1664, 709, 1139, 279, 220, 508, 339, 9478, 13, 578, 83763, 3673, 1051, 1903, 520, 435, 1923, 5721, 323, 1051, 1243, 37109, 555, 3697, 315, 279, 586, 2737, 4236, 520, 5370, 1989, 8853, 10246, 2028, 93484, 374, 220, 3965, 3906, 1579, 323, 53553, 38599, 5482, 11, 423, 660, 220, 7529, 24, 8051, 279, 1566, 1396, 1436, 387, 264, 220, 17, 477, 220, 24, 477, 220, 15, 13, 578, 1396, 374, 10213, 96801, 555, 279, 15395, 77, 289, 3071, 1906, 627, 25488, 279, 93484, 31230, 374, 13160, 449, 264, 386, 13, 320, 55033, 8, 1518, 7397, 13, 28069, 660, 69442, 449, 264, 46119, 5497, 323, 927, 6200, 28109, 13, 4314, 9863, 527, 810, 19018, 323, 14738, 16495, 1306, 5423, 279, 6305, 555, 52249, 30301, 32595, 616, 13, 1102, 596, 1633, 46536, 323, 279, 2840, 10033, 706, 2728, 433, 264, 41202, 265, 6381, 439, 499, 649, 1518, 505, 1063, 315, 279, 5448, 627, 37, 1923, 5721, 15344, 7997, 74795, 56419, 198, 791, 53369, 503, 13602, 1051, 9193, 5526, 50790, 555, 1268, 1690, 527, 704, 1070, 13, 4487, 19790, 358, 617, 3970, 374, 13489, 220, 2075, 3906, 320, 18, 17560, 570, 1115, 832, 374, 220, 1041, 3906, 320, 19, 17560, 570, 1102, 574, 4762, 369, 12932, 369, 15600, 13, 15668, 19369, 13, 1472, 690, 5406, 279, 308, 5908, 323, 5674, 311, 279, 31230, 13, 1102, 596, 1633, 19018, 311, 1505, 1521, 503, 13602, 304, 4832, 3044, 13, 2435, 1051, 1511, 323, 1664, 10456, 323, 279, 2487, 3473, 1698, 2385, 374, 8579, 13, 15668, 4725, 311, 1518, 420, 3460, 315, 5674, 13, 1252, 47462, 627, 37, 1923, 5721, 8868, 74795, 622, 13602, 198, 10544, 323, 6307, 2873, 311, 617, 1027, 279, 1455, 5526, 27230, 13, 10690, 374, 2753, 4279, 13, 578, 6437, 374, 539, 220, 1041, 4, 13263, 439, 499, 1053, 4762, 1755, 369, 3673, 1903, 927, 264, 1515, 4261, 315, 892, 627, 9673, 311, 527, 220, 1049, 3906, 320, 23, 15271, 8, 1579, 13, 3861, 653, 47462, 11, 832, 13160, 449, 2385, 1672, 17890, 1630, 369, 6437, 2840, 10033, 627, 37, 1923, 5721, 8868, 74795, 20904, 198, 791, 61080, 2873, 539, 311, 617, 1027, 439, 5526, 439, 279, 503, 13602, 13, 358, 1781, 584, 682, 10894, 1148, 433, 439, 1093, 994, 701, 98769, 439, 12886, 555, 7558, 323, 503, 13602, 1051, 3062, 9979, 1698, 627, 2028, 832, 706, 2380, 12580, 323, 374, 10049, 220, 3965, 3906, 320, 21, 15271, 8, 23899, 13, 1252, 47462, 627, 37, 1923, 5721, 6113, 65, 9802, 198, 82800, 420, 743, 23200, 323, 11623, 65, 9802, 743, 374, 25587, 20727, 13, 578, 3544, 220, 3443, 3906, 320, 845, 15271, 8, 11623, 65, 9802, 706, 1403, 12580, 14329, 1855, 1023, 520, 1063, 1486, 279, 23200, 706, 3060, 1027, 12504, 8800, 832, 3185, 477, 810, 4461, 1120, 74159, 279, 1948, 6964, 14718, 264, 1450, 1404, 1464, 430, 706, 1027, 76504, 989, 52834, 13, 15668, 12703, 13, 2468, 3325, 4423, 42777, 3403, 311, 9396, 279, 9863, 1203, 3871, 627, 2746, 358, 3596, 636, 279, 892, 358, 1053, 3021, 311, 656, 264, 96806, 35093, 3388, 323, 13023, 279, 743, 439, 358, 1781, 433, 596, 5922, 14324, 13, 578, 19763, 374, 264, 11191, 220, 3443, 3906, 320, 845, 15271, 8, 23899, 323, 279, 23200, 220, 3101, 3906, 320, 717, 15271, 8, 1579, 13, 358, 2846, 14792, 279, 3790, 374, 35539, 389, 279, 23200, 13, 1102, 596, 1633, 8987, 994, 2539, 323, 10187, 8223, 281, 21719, 627, 21279, 527, 1672, 17890, 7866, 389, 279, 2385, 369, 10690, 449, 264, 26541, 15135, 627, 42315, 323, 55357, 483, 473, 16499, 596, 435, 1923, 5721, 14020, 18080, 13207, 198, 2520, 1063, 2944, 15389, 369, 435, 1923, 5721, 14020, 18080, 1587, 539, 4546, 709, 12131, 612, 55357, 483, 596, 11364, 2816, 627, 2746, 499, 527, 8173, 304, 435, 1923, 5721, 1243, 499, 2216, 1205, 311, 2343, 872, 2816, 264, 4034, 814, 617, 264, 3544, 4526, 315, 3673, 430, 527, 5505, 369, 5905, 627, 5618, 1518, 2723, 3770, 198, 128001, 128000, 14711, 816, 9655, 44, 547, 25, 31380, 3413, 198, 2480, 25, 77630, 749, 47163, 24883, 2192, 8399, 30370, 26216, 62048, 3186, 198, 609, 25, 2683, 26216, 62048, 3186, 198, 68258, 25, 77630, 749, 47163, 24883, 2192, 8399, 30370, 26216, 62048, 3186, 198, 9031, 512, 12, 77630, 749, 47163, 24883, 2192, 8399, 30370, 26216, 62048, 3186, 46393, 8062, 20912, 1767, 198, 128001, 128000, 4599, 3411, 520, 279, 9439, 4208, 304, 4689, 477, 304, 12976, 311, 84599, 11, 433, 374, 3062, 311, 3619, 430, 264, 12324, 29869, 264, 1317, 4261, 1253, 733, 1555, 4442, 17974, 6914, 1888, 81077, 37838, 1520, 499, 449, 1063, 9439, 4208, 9071, 13650, 323, 6848, 13, 44716, 7102, 9071, 11977, 7102, 9071, 11977, 1917, 439, 1664, 439, 502, 3062, 1906, 304, 279, 9439, 4208, 311, 904, 315, 9932, 18651, 477, 37856, 1063, 7718, 662, 12051, 6108, 3488, 1268, 1550, 279, 9439, 4208, 3240, 323, 1148, 6, 23722, 708, 1051, 1511, 311, 4465, 433, 13970, 2317, 25, 3350, 264, 1664, 12, 63316, 9071, 39858, 701, 17850, 13, 48833, 3488, 58523, 1550, 279, 29292, 5415, 323, 279, 779, 85, 3978, 11552, 3719, 9439, 4208, 3240, 13726, 3000, 80, 9071, 4477, 16720, 36864, 279, 7718, 3488, 16853, 2170, 4236, 4048, 922, 279, 9439, 4208, 11, 499, 2643, 1390, 311, 16988, 1124, 304, 4726, 3495, 420, 18228, 6209, 13650, 430, 690, 90536, 4236, 4527, 27047, 389, 9439, 4208, 28989, 315, 279, 18702, 374, 279, 9439, 4208, 323, 3488, 1396, 4848, 279, 7829, 315, 279, 9439, 4208, 9071, 389, 96322, 389, 9439, 16700, 13, 578, 9439, 4208, 9071, 482, 279, 9439, 4208, 6957, 3925, 11, 26885, 1990, 17089, 706, 1027, 84116, 1524, 1690, 315, 279, 25655, 5961, 2873, 311, 1205, 6411, 9313, 627, 4438, 1550, 279, 9041, 315, 50315, 52805, 323, 2410, 7958, 39542, 10396, 2391, 279, 9439, 4208, 2391, 279, 220, 7028, 15, 753, 11, 39542, 753, 32126, 279, 7928, 6650, 13, 9369, 1618, 369, 264, 1450, 412, 8649, 7154, 682, 315, 279, 9071, 4860, 4691, 389, 279, 1469, 1917, 3925, 7718, 4860, 220, 23, 65, 66832, 3893, 3566, 724, 9439, 4208, 220, 24, 9439, 4208, 662, 24062, 4208, 11639, 279, 842, 315, 1917, 4208, 14799, 7263, 42071, 4442, 4028, 279, 24867, 279, 29292, 5415, 574, 539, 1193, 16643, 1306, 279, 4208, 11, 433, 1457, 14333, 627, 77518, 4208, 3925, 9071, 3189, 1303, 459, 9071, 922, 279, 9439, 4208, 706, 1202, 1866, 743, 315, 5016, 11774, 11, 7953, 1884, 5938, 449, 4477, 264, 3925, 9071, 389, 904, 8712, 13, 1115, 1949, 3925, 9071, 389, 9071, 25, 279, 9439, 4208, 374, 4832, 369, 3925, 4236, 311, 1005, 439, 459, 3187, 13, 2057, 3041, 264, 7191, 8830, 922, 279, 9439, 4208, 11, 420, 9071, 690, 6835, 264, 13168, 315, 279, 9439, 4208, 323, 2751, 264, 4477, 3488, 2610, 1057, 6721, 7061, 662, 16450, 18285, 2431, 276, 596, 3997, 2778, 420, 2816, 5089, 30335, 7718, 4860, 1148, 374, 279, 9439, 4208, 1268, 1550, 662, 1472, 690, 387, 4691, 311, 4320, 1403, 9071, 4860, 11, 832, 389, 279, 9439, 4208, 323, 832, 505, 2500, 5684, 220, 17, 8712, 499, 617, 20041, 627, 77518, 4208, 11639, 7718, 4860, 220, 16, 1268, 1550, 279, 13845, 4121, 8935, 15201, 323, 279, 8752, 520, 279, 1890, 892, 7, 25724, 8, 220, 17, 1148, 574, 4251, 11213, 323, 3249, 1550, 433, 3621, 13, 1115, 374, 279, 4617, 311, 1772, 701, 9071, 13650, 389, 279, 9439, 4208, 98590, 1618, 527, 1063, 8621, 8767, 25, 482, 8720, 279, 3560, 315, 279, 4824, 3394, 10334, 304, 603, 14, 708, 13, 3658, 9071, 25, 304, 420, 9071, 602, 1053, 1093, 311, 11415, 856, 8830, 369, 279, 11384, 315, 279, 9439, 4208, 304, 2144, 11, 279, 9439, 4208, 2663, 304, 430, 836, 627, 1622, 3488, 1550, 279, 3678, 19549, 3197, 1304, 279, 9439, 4208, 61558, 596, 9439, 4208, 11, 9417, 220, 18, 25, 3678, 19549, 3197, 11, 6875, 315, 21716, 3997, 320, 4151, 4092, 9071, 8, 9439, 4208, 662, 24062, 4208, 3495, 5684, 13650, 279, 9439, 4208, 323, 1202, 2515, 389, 2132, 1917, 4208, 439, 264, 6651, 315, 264, 2478, 7120, 8905, 3488, 323, 7718, 10937, 315, 279, 662, 578, 9439, 4208, 574, 264, 1054, 9951, 2410, 14993, 1990, 279, 29292, 5415, 323, 279, 779, 85, 3978, 11552, 430, 36513, 505, 220, 6393, 20, 311, 220, 2550, 16, 863, 320, 1342, 2239, 2199, 220, 18625, 8, 304, 220, 6393, 20, 279, 29292, 5415, 323, 279, 779, 85, 3978, 11552, 24164, 83924, 304, 1917, 4208, 1403, 13, 24062, 4208, 25, 3488, 323, 1057, 9439, 48260, 9071, 10688, 7664, 1268, 64766, 449, 1202, 70800, 323, 279, 779, 85, 3978, 11552, 6818, 311, 37586, 449, 279, 48853, 902, 16853, 860, 9071, 482, 3925, 9071, 3196, 389, 3488, 505, 813, 220, 1049, 520, 597, 33495, 33019, 12374, 9439, 4208, 574, 539, 459, 7718, 5696, 315, 87019, 1654, 73369, 2065, 11, 662, 29438, 279, 9439, 4208, 574, 264, 4261, 315, 24408, 323, 61029, 1990, 279, 29292, 5415, 315, 64766, 323, 279, 779, 85, 3978, 11552, 505, 279, 662, 71770, 9071, 13650, 922, 279, 9439, 4208, 25, 220, 508, 5016, 6848, 279, 2768, 527, 1063, 13650, 430, 499, 2643, 2980, 994, 499, 527, 4691, 311, 3350, 922, 279, 9439, 4208, 13, 128001 ]
[ -100, 37, 1923, 5721, 14020, 18080, 198, 791, 435, 1923, 5721, 74248, 92041, 17236, 706, 1457, 6924, 279, 14016, 315, 420, 2294, 83763, 13, 1102, 596, 264, 1972, 17979, 612, 66041, 83763, 430, 6656, 311, 3339, 11003, 3673, 304, 279, 3389, 220, 777, 339, 28200, 1234, 22855, 83128, 21750, 11, 8767, 3339, 21130, 323, 37148, 32275, 13, 2435, 527, 51287, 1440, 369, 872, 53369, 503, 13602, 430, 1051, 6216, 520, 92586, 304, 7295, 13, 1472, 649, 2103, 4034, 279, 83763, 323, 814, 617, 1578, 3940, 5788, 13, 578, 14016, 527, 1511, 369, 4455, 323, 1855, 6841, 814, 3552, 279, 30619, 9333, 2373, 315, 5277, 304, 32501, 13, 358, 1505, 872, 9863, 17235, 10978, 323, 8013, 311, 279, 6332, 13, 435, 1923, 5721, 14020, 18080, 53369, 503, 13602, 617, 779, 1790, 3752, 358, 1781, 814, 690, 387, 5526, 369, 1690, 11, 1690, 1667, 13, 435, 1923, 5721, 374, 7559, 264, 2478, 8931, 10007, 315, 31447, 388, 10847, 11, 922, 33517, 8931, 46785, 315, 7295, 627, 791, 65547, 4375, 1888, 389, 6812, 13, 1102, 79664, 1555, 682, 279, 3770, 5448, 2539, 28935, 627, 37, 1923, 5721, 49654, 198, 40, 49614, 12131, 612, 55357, 483, 889, 1629, 279, 14964, 3997, 12514, 311, 435, 1923, 5721, 14020, 18080, 922, 420, 24623, 439, 358, 4934, 311, 387, 2771, 433, 574, 13513, 13, 1115, 955, 315, 51370, 291, 24623, 1051, 1633, 5526, 220, 1041, 1667, 4227, 323, 1690, 3419, 466, 552, 1903, 11028, 627, 1, 28487, 11, 578, 24623, 499, 617, 389, 701, 3997, 374, 8659, 435, 1923, 5721, 13, 2435, 1051, 1903, 304, 63027, 51370, 82, 11, 323, 279, 25212, 1051, 3779, 3010, 13, 7252, 92179, 11, 12131, 612, 55357, 483, 23811, 35897, 3997, 374, 1664, 5922, 17136, 26, 578, 3352, 2617, 323, 27230, 389, 420, 832, 527, 2216, 2294, 13, 1252, 47462, 627, 42315, 612, 55357, 483, 596, 21153, 1105, 13207, 198, 37, 1923, 5721, 5277, 1698, 91752, 650, 521, 198, 42315, 612, 55357, 483, 7664, 420, 93484, 439, 5277, 1698, 280, 1, 9470, 39003, 1051, 9124, 505, 279, 3389, 220, 777, 339, 9478, 323, 8738, 311, 387, 1903, 1664, 709, 1139, 279, 220, 508, 339, 9478, 13, 578, 83763, 3673, 1051, 1903, 520, 435, 1923, 5721, 323, 1051, 1243, 37109, 555, 3697, 315, 279, 586, 2737, 4236, 520, 5370, 1989, 8853, 10246, 2028, 93484, 374, 220, 3965, 3906, 1579, 323, 53553, 38599, 5482, 11, 423, 660, 220, 7529, 24, 8051, 279, 1566, 1396, 1436, 387, 264, 220, 17, 477, 220, 24, 477, 220, 15, 13, 578, 1396, 374, 10213, 96801, 555, 279, 15395, 77, 289, 3071, 1906, 627, 25488, 279, 93484, 31230, 374, 13160, 449, 264, 386, 13, 320, 55033, 8, 1518, 7397, 13, 28069, 660, 69442, 449, 264, 46119, 5497, 323, 927, 6200, 28109, 13, 4314, 9863, 527, 810, 19018, 323, 14738, 16495, 1306, 5423, 279, 6305, 555, 52249, 30301, 32595, 616, 13, 1102, 596, 1633, 46536, 323, 279, 2840, 10033, 706, 2728, 433, 264, 41202, 265, 6381, 439, 499, 649, 1518, 505, 1063, 315, 279, 5448, 627, 37, 1923, 5721, 15344, 7997, 74795, 56419, 198, 791, 53369, 503, 13602, 1051, 9193, 5526, 50790, 555, 1268, 1690, 527, 704, 1070, 13, 4487, 19790, 358, 617, 3970, 374, 13489, 220, 2075, 3906, 320, 18, 17560, 570, 1115, 832, 374, 220, 1041, 3906, 320, 19, 17560, 570, 1102, 574, 4762, 369, 12932, 369, 15600, 13, 15668, 19369, 13, 1472, 690, 5406, 279, 308, 5908, 323, 5674, 311, 279, 31230, 13, 1102, 596, 1633, 19018, 311, 1505, 1521, 503, 13602, 304, 4832, 3044, 13, 2435, 1051, 1511, 323, 1664, 10456, 323, 279, 2487, 3473, 1698, 2385, 374, 8579, 13, 15668, 4725, 311, 1518, 420, 3460, 315, 5674, 13, 1252, 47462, 627, 37, 1923, 5721, 8868, 74795, 622, 13602, 198, 10544, 323, 6307, 2873, 311, 617, 1027, 279, 1455, 5526, 27230, 13, 10690, 374, 2753, 4279, 13, 578, 6437, 374, 539, 220, 1041, 4, 13263, 439, 499, 1053, 4762, 1755, 369, 3673, 1903, 927, 264, 1515, 4261, 315, 892, 627, 9673, 311, 527, 220, 1049, 3906, 320, 23, 15271, 8, 1579, 13, 3861, 653, 47462, 11, 832, 13160, 449, 2385, 1672, 17890, 1630, 369, 6437, 2840, 10033, 627, 37, 1923, 5721, 8868, 74795, 20904, 198, 791, 61080, 2873, 539, 311, 617, 1027, 439, 5526, 439, 279, 503, 13602, 13, 358, 1781, 584, 682, 10894, 1148, 433, 439, 1093, 994, 701, 98769, 439, 12886, 555, 7558, 323, 503, 13602, 1051, 3062, 9979, 1698, 627, 2028, 832, 706, 2380, 12580, 323, 374, 10049, 220, 3965, 3906, 320, 21, 15271, 8, 23899, 13, 1252, 47462, 627, 37, 1923, 5721, 6113, 65, 9802, 198, 82800, 420, 743, 23200, 323, 11623, 65, 9802, 743, 374, 25587, 20727, 13, 578, 3544, 220, 3443, 3906, 320, 845, 15271, 8, 11623, 65, 9802, 706, 1403, 12580, 14329, 1855, 1023, 520, 1063, 1486, 279, 23200, 706, 3060, 1027, 12504, 8800, 832, 3185, 477, 810, 4461, 1120, 74159, 279, 1948, 6964, 14718, 264, 1450, 1404, 1464, 430, 706, 1027, 76504, 989, 52834, 13, 15668, 12703, 13, 2468, 3325, 4423, 42777, 3403, 311, 9396, 279, 9863, 1203, 3871, 627, 2746, 358, 3596, 636, 279, 892, 358, 1053, 3021, 311, 656, 264, 96806, 35093, 3388, 323, 13023, 279, 743, 439, 358, 1781, 433, 596, 5922, 14324, 13, 578, 19763, 374, 264, 11191, 220, 3443, 3906, 320, 845, 15271, 8, 23899, 323, 279, 23200, 220, 3101, 3906, 320, 717, 15271, 8, 1579, 13, 358, 2846, 14792, 279, 3790, 374, 35539, 389, 279, 23200, 13, 1102, 596, 1633, 8987, 994, 2539, 323, 10187, 8223, 281, 21719, 627, 21279, 527, 1672, 17890, 7866, 389, 279, 2385, 369, 10690, 449, 264, 26541, 15135, 627, 42315, 323, 55357, 483, 473, 16499, 596, 435, 1923, 5721, 14020, 18080, 13207, 198, 2520, 1063, 2944, 15389, 369, 435, 1923, 5721, 14020, 18080, 1587, 539, 4546, 709, 12131, 612, 55357, 483, 596, 11364, 2816, 627, 2746, 499, 527, 8173, 304, 435, 1923, 5721, 1243, 499, 2216, 1205, 311, 2343, 872, 2816, 264, 4034, 814, 617, 264, 3544, 4526, 315, 3673, 430, 527, 5505, 369, 5905, 627, 5618, 1518, 2723, 3770, 198, 128001, -100, 14711, 816, 9655, 44, 547, 25, 31380, 3413, 198, 2480, 25, 77630, 749, 47163, 24883, 2192, 8399, 30370, 26216, 62048, 3186, 198, 609, 25, 2683, 26216, 62048, 3186, 198, 68258, 25, 77630, 749, 47163, 24883, 2192, 8399, 30370, 26216, 62048, 3186, 198, 9031, 512, 12, 77630, 749, 47163, 24883, 2192, 8399, 30370, 26216, 62048, 3186, 46393, 8062, 20912, 1767, 198, 128001, -100, 4599, 3411, 520, 279, 9439, 4208, 304, 4689, 477, 304, 12976, 311, 84599, 11, 433, 374, 3062, 311, 3619, 430, 264, 12324, 29869, 264, 1317, 4261, 1253, 733, 1555, 4442, 17974, 6914, 1888, 81077, 37838, 1520, 499, 449, 1063, 9439, 4208, 9071, 13650, 323, 6848, 13, 44716, 7102, 9071, 11977, 7102, 9071, 11977, 1917, 439, 1664, 439, 502, 3062, 1906, 304, 279, 9439, 4208, 311, 904, 315, 9932, 18651, 477, 37856, 1063, 7718, 662, 12051, 6108, 3488, 1268, 1550, 279, 9439, 4208, 3240, 323, 1148, 6, 23722, 708, 1051, 1511, 311, 4465, 433, 13970, 2317, 25, 3350, 264, 1664, 12, 63316, 9071, 39858, 701, 17850, 13, 48833, 3488, 58523, 1550, 279, 29292, 5415, 323, 279, 779, 85, 3978, 11552, 3719, 9439, 4208, 3240, 13726, 3000, 80, 9071, 4477, 16720, 36864, 279, 7718, 3488, 16853, 2170, 4236, 4048, 922, 279, 9439, 4208, 11, 499, 2643, 1390, 311, 16988, 1124, 304, 4726, 3495, 420, 18228, 6209, 13650, 430, 690, 90536, 4236, 4527, 27047, 389, 9439, 4208, 28989, 315, 279, 18702, 374, 279, 9439, 4208, 323, 3488, 1396, 4848, 279, 7829, 315, 279, 9439, 4208, 9071, 389, 96322, 389, 9439, 16700, 13, 578, 9439, 4208, 9071, 482, 279, 9439, 4208, 6957, 3925, 11, 26885, 1990, 17089, 706, 1027, 84116, 1524, 1690, 315, 279, 25655, 5961, 2873, 311, 1205, 6411, 9313, 627, 4438, 1550, 279, 9041, 315, 50315, 52805, 323, 2410, 7958, 39542, 10396, 2391, 279, 9439, 4208, 2391, 279, 220, 7028, 15, 753, 11, 39542, 753, 32126, 279, 7928, 6650, 13, 9369, 1618, 369, 264, 1450, 412, 8649, 7154, 682, 315, 279, 9071, 4860, 4691, 389, 279, 1469, 1917, 3925, 7718, 4860, 220, 23, 65, 66832, 3893, 3566, 724, 9439, 4208, 220, 24, 9439, 4208, 662, 24062, 4208, 11639, 279, 842, 315, 1917, 4208, 14799, 7263, 42071, 4442, 4028, 279, 24867, 279, 29292, 5415, 574, 539, 1193, 16643, 1306, 279, 4208, 11, 433, 1457, 14333, 627, 77518, 4208, 3925, 9071, 3189, 1303, 459, 9071, 922, 279, 9439, 4208, 706, 1202, 1866, 743, 315, 5016, 11774, 11, 7953, 1884, 5938, 449, 4477, 264, 3925, 9071, 389, 904, 8712, 13, 1115, 1949, 3925, 9071, 389, 9071, 25, 279, 9439, 4208, 374, 4832, 369, 3925, 4236, 311, 1005, 439, 459, 3187, 13, 2057, 3041, 264, 7191, 8830, 922, 279, 9439, 4208, 11, 420, 9071, 690, 6835, 264, 13168, 315, 279, 9439, 4208, 323, 2751, 264, 4477, 3488, 2610, 1057, 6721, 7061, 662, 16450, 18285, 2431, 276, 596, 3997, 2778, 420, 2816, 5089, 30335, 7718, 4860, 1148, 374, 279, 9439, 4208, 1268, 1550, 662, 1472, 690, 387, 4691, 311, 4320, 1403, 9071, 4860, 11, 832, 389, 279, 9439, 4208, 323, 832, 505, 2500, 5684, 220, 17, 8712, 499, 617, 20041, 627, 77518, 4208, 11639, 7718, 4860, 220, 16, 1268, 1550, 279, 13845, 4121, 8935, 15201, 323, 279, 8752, 520, 279, 1890, 892, 7, 25724, 8, 220, 17, 1148, 574, 4251, 11213, 323, 3249, 1550, 433, 3621, 13, 1115, 374, 279, 4617, 311, 1772, 701, 9071, 13650, 389, 279, 9439, 4208, 98590, 1618, 527, 1063, 8621, 8767, 25, 482, 8720, 279, 3560, 315, 279, 4824, 3394, 10334, 304, 603, 14, 708, 13, 3658, 9071, 25, 304, 420, 9071, 602, 1053, 1093, 311, 11415, 856, 8830, 369, 279, 11384, 315, 279, 9439, 4208, 304, 2144, 11, 279, 9439, 4208, 2663, 304, 430, 836, 627, 1622, 3488, 1550, 279, 3678, 19549, 3197, 1304, 279, 9439, 4208, 61558, 596, 9439, 4208, 11, 9417, 220, 18, 25, 3678, 19549, 3197, 11, 6875, 315, 21716, 3997, 320, 4151, 4092, 9071, 8, 9439, 4208, 662, 24062, 4208, 3495, 5684, 13650, 279, 9439, 4208, 323, 1202, 2515, 389, 2132, 1917, 4208, 439, 264, 6651, 315, 264, 2478, 7120, 8905, 3488, 323, 7718, 10937, 315, 279, 662, 578, 9439, 4208, 574, 264, 1054, 9951, 2410, 14993, 1990, 279, 29292, 5415, 323, 279, 779, 85, 3978, 11552, 430, 36513, 505, 220, 6393, 20, 311, 220, 2550, 16, 863, 320, 1342, 2239, 2199, 220, 18625, 8, 304, 220, 6393, 20, 279, 29292, 5415, 323, 279, 779, 85, 3978, 11552, 24164, 83924, 304, 1917, 4208, 1403, 13, 24062, 4208, 25, 3488, 323, 1057, 9439, 48260, 9071, 10688, 7664, 1268, 64766, 449, 1202, 70800, 323, 279, 779, 85, 3978, 11552, 6818, 311, 37586, 449, 279, 48853, 902, 16853, 860, 9071, 482, 3925, 9071, 3196, 389, 3488, 505, 813, 220, 1049, 520, 597, 33495, 33019, 12374, 9439, 4208, 574, 539, 459, 7718, 5696, 315, 87019, 1654, 73369, 2065, 11, 662, 29438, 279, 9439, 4208, 574, 264, 4261, 315, 24408, 323, 61029, 1990, 279, 29292, 5415, 315, 64766, 323, 279, 779, 85, 3978, 11552, 505, 279, 662, 71770, 9071, 13650, 922, 279, 9439, 4208, 25, 220, 508, 5016, 6848, 279, 2768, 527, 1063, 13650, 430, 499, 2643, 2980, 994, 499, 527, 4691, 311, 3350, 922, 279, 9439, 4208, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788 ]
[ 128000, 53, 89121, 39168, 481, 70674, 198, 2599, 13793, 39990, 279, 3560, 315, 1614, 323, 2254, 586, 2890, 70760, 304, 279, 18468, 323, 22156, 315, 25474, 5471, 481, 19338, 320, 13683, 68050, 8, 555, 18899, 6677, 11, 8405, 5542, 826, 323, 23391, 4367, 2038, 9473, 627, 10438, 279, 4500, 315, 40300, 369, 80337, 11, 296, 12055, 323, 10485, 6985, 320, 8195, 49, 8, 323, 294, 15619, 700, 689, 11, 28953, 59063, 323, 18713, 1892, 285, 320, 35, 4334, 705, 93144, 19025, 323, 29528, 505, 1521, 19338, 1051, 5199, 304, 279, 2326, 13, 578, 24716, 1005, 315, 279, 386, 18953, 323, 423, 4334, 40300, 706, 11293, 5157, 11, 3339, 1521, 19338, 9024, 627, 11458, 11, 3293, 80337, 77871, 323, 279, 91590, 315, 296, 12055, 323, 18713, 1892, 285, 4028, 279, 2326, 617, 21091, 430, 586, 2890, 70760, 2011, 10519, 279, 23099, 323, 8824, 311, 6013, 13750, 311, 312, 37612, 96396, 650, 23891, 82, 1555, 14348, 22156, 11, 323, 15439, 323, 7838, 5382, 7649, 13, 2435, 1005, 264, 10824, 315, 15439, 12823, 11, 2737, 7829, 11, 1446, 2508, 11, 83089, 18468, 323, 67791, 11, 311, 11388, 323, 70755, 650, 23891, 82, 627, 53, 89121, 39168, 481, 70674, 17650, 41991, 198, 2599, 13793, 323, 40409, 9749, 3116, 100058, 39168, 481, 70674, 17650, 41991, 311, 1862, 7649, 369, 682, 586, 2890, 70760, 13, 578, 7188, 6011, 315, 6401, 20198, 37478, 323, 432, 6021, 2641, 532, 31974, 32184, 11, 468, 329, 61831, 5955, 11500, 56, 5608, 47861, 11, 19461, 6011, 315, 6401, 323, 21073, 3314, 32184, 315, 10320, 43312, 8854, 439, 279, 650, 23891, 17650, 41991, 627, 791, 650, 23891, 17650, 41991, 2804, 31206, 7649, 369, 8254, 650, 23891, 82, 320, 2727, 300, 645, 11, 296, 12055, 11, 10485, 6985, 11, 767, 292, 6985, 1167, 11975, 17188, 11, 98985, 295, 6985, 18713, 1892, 285, 11, 14433, 336, 98635, 355, 62937, 68, 323, 4275, 74333, 689, 67979, 275, 3422, 8, 389, 17981, 315, 1023, 586, 2890, 70760, 430, 617, 37191, 439, 34194, 6732, 13, 578, 17650, 41991, 1101, 3085, 63239, 7649, 369, 31206, 7649, 369, 650, 23891, 82, 311, 1023, 586, 2890, 70760, 627, 13683, 35, 22322, 17650, 13002, 323, 51088, 37812, 61572, 198, 2520, 264, 1160, 315, 650, 23891, 22322, 3600, 11, 2737, 58184, 4595, 323, 67610, 3115, 11, 4587, 1518, 1057, 198, 28863, 8641, 13, 23212, 11, 10314, 13793, 323, 40409, 617, 8040, 264, 4101, 315, 2144, 25112, 323, 28292, 311, 12576, 304, 7649, 323, 75277, 287, 3135, 25, 128001, 128000, 2520, 60508, 4519, 505, 2835, 14418, 320, 17, 6205, 61171, 8, 358, 1005, 26773, 12914, 304, 10344, 323, 2865, 650, 23050, 845, 430, 1988, 1404, 374, 320, 3965, 11, 3965, 11, 18, 8, 323, 2612, 1404, 374, 320, 19, 11, 19, 11, 8358, 570, 4740, 279, 4668, 33289, 3094, 358, 1390, 311, 10879, 4124, 4519, 449, 39847, 46334, 735, 5364, 68, 598, 627, 40, 3665, 1855, 4124, 4519, 304, 264, 4724, 902, 1404, 374, 220, 18831, 17, 13, 1789, 264, 2835, 430, 617, 220, 4728, 15, 14418, 422, 1193, 8108, 1855, 4124, 1404, 311, 320, 3965, 11, 3965, 8, 323, 8819, 4519, 1243, 358, 617, 264, 4668, 6303, 449, 1404, 320, 14033, 11, 18831, 17, 570, 1666, 499, 649, 1518, 4668, 6303, 369, 1524, 832, 2835, 374, 1633, 3544, 8261, 28858, 330, 99323, 3343, 3639, 374, 279, 1888, 1648, 311, 14278, 1202, 13167, 5380, 3923, 374, 279, 1888, 18767, 369, 22702, 6138, 1990, 1403, 6857, 315, 4124, 4519, 30, 578, 3634, 374, 779, 34544, 323, 1524, 4668, 2819, 527, 779, 2678, 11, 779, 22730, 51178, 32235, 374, 539, 264, 24219, 2665, 1082, 51447, 644, 420, 4040, 1162, 11, 2612, 4519, 617, 279, 1404, 315, 320, 19, 9, 19, 9, 8358, 8, 430, 3719, 220, 18831, 17, 1396, 304, 264, 2872, 4724, 627, 5159, 828, 439, 358, 9932, 3485, 374, 264, 1633, 34544, 323, 3544, 6303, 320, 14033, 11, 18831, 17, 570, 11842, 38029, 2819, 527, 19029, 709, 311, 220, 1041, 627, 13622, 3062, 5852, 315, 1521, 1403, 5528, 374, 330, 77, 24139, 1, 430, 374, 1396, 315, 6956, 311, 2567, 13, 1115, 5852, 617, 279, 907, 315, 1332, 1471, 18801, 11, 308, 15314, 570, 1666, 499, 649, 8101, 11, 6956, 430, 584, 8774, 449, 420, 4793, 374, 6904, 315, 19690, 5742, 323, 20595, 5742, 13, 83710, 430, 584, 617, 1403, 6946, 449, 4668, 36295, 449, 1404, 315, 320, 6860, 11, 220, 18831, 17, 8, 323, 320, 14033, 11, 220, 18831, 17, 570, 5629, 2449, 374, 1396, 315, 14418, 323, 2132, 2449, 374, 1396, 315, 4519, 13, 578, 2612, 315, 62029, 369, 1521, 1403, 6946, 374, 320, 6860, 11, 220, 6860, 8, 612, 320, 14033, 11, 220, 14033, 570, 1226, 617, 311, 617, 36295, 449, 1890, 8183, 311, 1817, 6138, 323, 59454, 13, 2650, 311, 11886, 420, 3575, 5380, 40, 1440, 430, 420, 64784, 374, 2288, 1317, 311, 1373, 11, 719, 433, 596, 5922, 433, 4999, 27213, 14278, 374, 2744, 264, 6696, 12744, 1990, 5070, 323, 16437, 13, 1472, 649, 1005, 62029, 320, 15680, 264, 1579, 907, 315, 308, 11, 2019, 220, 2636, 15, 8, 323, 1005, 279, 6767, 315, 7041, 1268, 1790, 23851, 374, 20669, 555, 1855, 3777, 311, 1456, 323, 8417, 279, 1396, 315, 17966, 6956, 311, 2567, 13, 10926, 220, 1490, 4, 374, 3403, 11, 719, 422, 499, 3077, 1193, 11497, 220, 966, 4, 315, 701, 828, 596, 33373, 1306, 220, 2636, 15, 17966, 6956, 11, 1243, 7344, 499, 1205, 459, 10778, 627, 4054, 1648, 311, 7234, 420, 43395, 374, 311, 7234, 279, 1396, 315, 6956, 439, 865, 11, 323, 279, 11497, 33373, 439, 379, 13, 1472, 2351, 4461, 311, 636, 264, 16029, 430, 8638, 1022, 26682, 11, 323, 5334, 357, 44131, 520, 1063, 1486, 320, 269, 8638, 32366, 11, 323, 5990, 1022, 311, 26682, 11, 11911, 389, 902, 1648, 701, 865, 36421, 374, 11713, 570, 43897, 279, 330, 301, 15802, 1, 315, 420, 16029, 690, 6493, 279, 1486, 520, 902, 279, 2853, 315, 7999, 459, 5217, 3777, 36508, 2753, 323, 2753, 93566, 907, 13, 1102, 596, 539, 264, 4832, 4320, 11, 719, 690, 3041, 499, 459, 28137, 315, 17715, 1405, 311, 743, 701, 308, 627, 4991, 12964, 2337, 77907, 1087, 5158, 706, 459, 2612, 430, 5039, 279, 11497, 33373, 1306, 27442, 482, 1005, 420, 311, 1520, 636, 264, 2731, 2733, 369, 701, 828, 627, 4516, 279, 2875, 2373, 315, 420, 374, 11, 499, 649, 1629, 62029, 449, 904, 1396, 308, 499, 1390, 11, 719, 1193, 3820, 279, 1948, 597, 6956, 1405, 304, 10824, 11, 814, 656, 264, 1695, 3403, 2683, 320, 2940, 330, 19045, 3403, 1, 374, 4613, 555, 499, 8, 315, 26073, 279, 33373, 304, 701, 828, 627, 35643, 2718, 11, 1427, 1139, 4857, 459, 3313, 12, 28106, 1701, 264, 56812, 278, 30828, 4272, 320, 42, 9431, 17146, 3890, 5072, 705, 1521, 8541, 311, 656, 1633, 1695, 2683, 315, 26168, 11, 5423, 1405, 810, 13790, 5528, 320, 4908, 62029, 8, 1505, 279, 3465, 810, 17436, 627, 58, 17379, 60, 7429, 11, 311, 2686, 701, 1620, 1486, 482, 62029, 40464, 3596, 8108, 279, 4668, 3634, 311, 264, 907, 2753, 1109, 279, 1396, 315, 24654, 13, 3011, 374, 11, 1405, 499, 2351, 26040, 433, 449, 264, 2678, 1396, 315, 24654, 6296, 264, 3544, 1396, 315, 4519, 11, 499, 649, 956, 5457, 62029, 311, 8108, 279, 4668, 7321, 311, 264, 907, 4827, 1109, 701, 22695, 1797, 627, 50344, 1977, 709, 810, 828, 11, 477, 7068, 433, 1701, 701, 2926, 10550, 439, 264, 6041, 1486, 11, 323, 27444, 1113, 433, 320, 82, 70872, 11, 7999, 1063, 4288, 23851, 8530, 8, 779, 430, 499, 649, 57482, 73581, 304, 264, 3544, 3403, 10550, 627, 2028, 5196, 2643, 17477, 499, 1063, 5435, 11, 2533, 1457, 499, 3358, 617, 311, 3568, 449, 264, 8294, 5044, 43972, 4245, 311, 279, 1988, 3160, 11, 4856, 1109, 279, 4668, 9531, 627, 6971, 1088, 15548, 6253, 433, 779, 430, 701, 62029, 44846, 288, 701, 4668, 9531, 1523, 311, 1193, 220, 1135, 6956, 1053, 4017, 701, 4360, 304, 279, 1176, 2035, 11, 323, 8530, 701, 84913, 4668, 3634, 690, 3136, 311, 3493, 499, 449, 3403, 16540, 315, 33373, 311, 387, 5505, 13, 1102, 596, 4279, 311, 1193, 1005, 7344, 220, 20, 6956, 369, 3187, 11, 719, 449, 459, 5938, 4814, 315, 16437, 13, 578, 8206, 15812, 304, 701, 828, 627, 2520, 1579, 15696, 11, 358, 1373, 430, 18606, 483, 22196, 488, 4375, 2731, 1109, 22730, 51178, 32235, 320, 2485, 1129, 268, 34466, 2726, 26583, 11547, 437, 483, 77336, 570, 10926, 499, 649, 1456, 420, 627, 2688, 279, 4320, 499, 2351, 3411, 369, 30, 42812, 1023, 4860, 38213, 81996, 10344, 13167, 2786, 5621, 23985, 6138, 13871, 67, 477, 2610, 701, 1866, 3488, 627, 4438, 311, 11294, 279, 6138, 1990, 1403, 6302, 14, 7862, 5380, 128001, 128000, 22186, 5606, 617, 2680, 311, 29302, 55687, 369, 264, 50853, 261, 473, 2318, 477, 473, 605, 60797, 5780, 30, 1226, 617, 1027, 4560, 311, 636, 1124, 505, 50853, 261, 369, 220, 21, 4038, 323, 814, 649, 956, 636, 1124, 369, 603, 627, 22105, 832, 315, 279, 50270, 1618, 389, 12404, 2984, 649, 1520, 477, 3493, 264, 5425, 5905, 13, 11361, 198, 14783, 29302, 55687, 1070, 527, 3892, 5220, 430, 48444, 304, 682, 21522, 315, 55687, 627, 14783, 29302, 55687, 1070, 527, 3892, 5220, 430, 48444, 304, 682, 21522, 315, 55687, 13, 330, 58234, 29302, 26446, 1359, 330, 54803, 84, 1538, 30797, 916, 702, 40, 2846, 3411, 11951, 369, 50853, 261, 6883, 55687, 477, 264, 5425, 5905, 430, 690, 10954, 304, 872, 5950, 2007, 627, 40, 1935, 433, 279, 1403, 5220, 10212, 7846, 956, 1520, 499, 627, 7368, 11519, 571, 24327, 76110, 79206, 477, 1456, 26367, 3647, 461, 304, 7008, 627, 40, 1781, 499, 19089, 701, 1866, 3488, 13, 1472, 11951, 1390, 50853, 261, 6883, 1975, 627, 11458, 11, 1442, 499, 1120, 1390, 55687, 430, 5052, 279, 2007, 11, 1650, 279, 5220, 10212, 11, 477, 1456, 452, 2783, 40, 13, 358, 1005, 426, 11539, 55687, 3131, 304, 264, 6437, 18266, 369, 24069, 477, 56186, 990, 323, 814, 990, 9193, 1664, 627, 1687, 617, 1148, 499, 1205, 13, 220, 23873, 220, 25303, 12, 16544, 16, 627, 22560, 499, 649, 1629, 1124, 927, 449, 264, 23243, 12157, 323, 814, 990, 1093, 502, 627, 35541, 1587, 617, 279, 2027, 323, 279, 11503, 430, 3952, 1461, 220, 20, 2919, 311, 617, 304, 856, 1450, 323, 433, 3952, 50853, 261, 220, 20, 4038, 719, 814, 1550, 1501, 709, 520, 279, 1890, 892, 11, 57843, 13, 1226, 1511, 279, 27220, 426, 11539, 55687, 5668, 266, 398, 323, 617, 3686, 311, 1005, 279, 50853, 261, 55687, 449, 279, 1633, 36301, 342, 9746, 13, 11361, 11519, 198, 15339, 68386, 4645, 198, 72, 1053, 1093, 311, 1440, 422, 499, 1866, 264, 282, 68076, 369, 34397, 220, 19, 272, 1031, 9457, 18072, 72, 1097, 3411, 311, 7782, 264, 272, 1031, 323, 279, 3645, 19, 305, 605, 374, 389, 856, 1160, 198, 708, 701, 1520, 374, 1790, 26893, 198, 58517, 499, 304, 12178, 198, 32329, 3633, 198, 1956, 315, 701, 36127, 25, 128001, 128000, 10267, 753, 9616, 279, 21533, 25737, 11598, 2152, 6830, 13655, 15, 6296, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 4390, 8140, 12593, 2007, 3770, 14861, 682, 279, 3062, 29803, 315, 1855, 6382, 13, 763, 420, 3185, 14656, 25034, 3477, 11, 584, 690, 387, 27393, 21533, 25737, 11598, 2152, 6830, 13655, 15, 323, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 570, 6104, 21533, 25737, 11598, 2152, 6830, 13655, 15, 706, 92881, 7813, 12271, 11, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 8, 706, 220, 1758, 3906, 12271, 323, 220, 1187, 13, 17, 706, 264, 220, 1187, 13, 17, 9599, 323, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 8, 706, 264, 220, 1187, 13, 15, 9599, 11175, 13, 128001 ]
[ -100, 53, 89121, 39168, 481, 70674, 198, 2599, 13793, 39990, 279, 3560, 315, 1614, 323, 2254, 586, 2890, 70760, 304, 279, 18468, 323, 22156, 315, 25474, 5471, 481, 19338, 320, 13683, 68050, 8, 555, 18899, 6677, 11, 8405, 5542, 826, 323, 23391, 4367, 2038, 9473, 627, 10438, 279, 4500, 315, 40300, 369, 80337, 11, 296, 12055, 323, 10485, 6985, 320, 8195, 49, 8, 323, 294, 15619, 700, 689, 11, 28953, 59063, 323, 18713, 1892, 285, 320, 35, 4334, 705, 93144, 19025, 323, 29528, 505, 1521, 19338, 1051, 5199, 304, 279, 2326, 13, 578, 24716, 1005, 315, 279, 386, 18953, 323, 423, 4334, 40300, 706, 11293, 5157, 11, 3339, 1521, 19338, 9024, 627, 11458, 11, 3293, 80337, 77871, 323, 279, 91590, 315, 296, 12055, 323, 18713, 1892, 285, 4028, 279, 2326, 617, 21091, 430, 586, 2890, 70760, 2011, 10519, 279, 23099, 323, 8824, 311, 6013, 13750, 311, 312, 37612, 96396, 650, 23891, 82, 1555, 14348, 22156, 11, 323, 15439, 323, 7838, 5382, 7649, 13, 2435, 1005, 264, 10824, 315, 15439, 12823, 11, 2737, 7829, 11, 1446, 2508, 11, 83089, 18468, 323, 67791, 11, 311, 11388, 323, 70755, 650, 23891, 82, 627, 53, 89121, 39168, 481, 70674, 17650, 41991, 198, 2599, 13793, 323, 40409, 9749, 3116, 100058, 39168, 481, 70674, 17650, 41991, 311, 1862, 7649, 369, 682, 586, 2890, 70760, 13, 578, 7188, 6011, 315, 6401, 20198, 37478, 323, 432, 6021, 2641, 532, 31974, 32184, 11, 468, 329, 61831, 5955, 11500, 56, 5608, 47861, 11, 19461, 6011, 315, 6401, 323, 21073, 3314, 32184, 315, 10320, 43312, 8854, 439, 279, 650, 23891, 17650, 41991, 627, 791, 650, 23891, 17650, 41991, 2804, 31206, 7649, 369, 8254, 650, 23891, 82, 320, 2727, 300, 645, 11, 296, 12055, 11, 10485, 6985, 11, 767, 292, 6985, 1167, 11975, 17188, 11, 98985, 295, 6985, 18713, 1892, 285, 11, 14433, 336, 98635, 355, 62937, 68, 323, 4275, 74333, 689, 67979, 275, 3422, 8, 389, 17981, 315, 1023, 586, 2890, 70760, 430, 617, 37191, 439, 34194, 6732, 13, 578, 17650, 41991, 1101, 3085, 63239, 7649, 369, 31206, 7649, 369, 650, 23891, 82, 311, 1023, 586, 2890, 70760, 627, 13683, 35, 22322, 17650, 13002, 323, 51088, 37812, 61572, 198, 2520, 264, 1160, 315, 650, 23891, 22322, 3600, 11, 2737, 58184, 4595, 323, 67610, 3115, 11, 4587, 1518, 1057, 198, 28863, 8641, 13, 23212, 11, 10314, 13793, 323, 40409, 617, 8040, 264, 4101, 315, 2144, 25112, 323, 28292, 311, 12576, 304, 7649, 323, 75277, 287, 3135, 25, 128001, -100, 2520, 60508, 4519, 505, 2835, 14418, 320, 17, 6205, 61171, 8, 358, 1005, 26773, 12914, 304, 10344, 323, 2865, 650, 23050, 845, 430, 1988, 1404, 374, 320, 3965, 11, 3965, 11, 18, 8, 323, 2612, 1404, 374, 320, 19, 11, 19, 11, 8358, 570, 4740, 279, 4668, 33289, 3094, 358, 1390, 311, 10879, 4124, 4519, 449, 39847, 46334, 735, 5364, 68, 598, 627, 40, 3665, 1855, 4124, 4519, 304, 264, 4724, 902, 1404, 374, 220, 18831, 17, 13, 1789, 264, 2835, 430, 617, 220, 4728, 15, 14418, 422, 1193, 8108, 1855, 4124, 1404, 311, 320, 3965, 11, 3965, 8, 323, 8819, 4519, 1243, 358, 617, 264, 4668, 6303, 449, 1404, 320, 14033, 11, 18831, 17, 570, 1666, 499, 649, 1518, 4668, 6303, 369, 1524, 832, 2835, 374, 1633, 3544, 8261, 28858, 330, 99323, 3343, 3639, 374, 279, 1888, 1648, 311, 14278, 1202, 13167, 5380, 3923, 374, 279, 1888, 18767, 369, 22702, 6138, 1990, 1403, 6857, 315, 4124, 4519, 30, 578, 3634, 374, 779, 34544, 323, 1524, 4668, 2819, 527, 779, 2678, 11, 779, 22730, 51178, 32235, 374, 539, 264, 24219, 2665, 1082, 51447, 644, 420, 4040, 1162, 11, 2612, 4519, 617, 279, 1404, 315, 320, 19, 9, 19, 9, 8358, 8, 430, 3719, 220, 18831, 17, 1396, 304, 264, 2872, 4724, 627, 5159, 828, 439, 358, 9932, 3485, 374, 264, 1633, 34544, 323, 3544, 6303, 320, 14033, 11, 18831, 17, 570, 11842, 38029, 2819, 527, 19029, 709, 311, 220, 1041, 627, 13622, 3062, 5852, 315, 1521, 1403, 5528, 374, 330, 77, 24139, 1, 430, 374, 1396, 315, 6956, 311, 2567, 13, 1115, 5852, 617, 279, 907, 315, 1332, 1471, 18801, 11, 308, 15314, 570, 1666, 499, 649, 8101, 11, 6956, 430, 584, 8774, 449, 420, 4793, 374, 6904, 315, 19690, 5742, 323, 20595, 5742, 13, 83710, 430, 584, 617, 1403, 6946, 449, 4668, 36295, 449, 1404, 315, 320, 6860, 11, 220, 18831, 17, 8, 323, 320, 14033, 11, 220, 18831, 17, 570, 5629, 2449, 374, 1396, 315, 14418, 323, 2132, 2449, 374, 1396, 315, 4519, 13, 578, 2612, 315, 62029, 369, 1521, 1403, 6946, 374, 320, 6860, 11, 220, 6860, 8, 612, 320, 14033, 11, 220, 14033, 570, 1226, 617, 311, 617, 36295, 449, 1890, 8183, 311, 1817, 6138, 323, 59454, 13, 2650, 311, 11886, 420, 3575, 5380, 40, 1440, 430, 420, 64784, 374, 2288, 1317, 311, 1373, 11, 719, 433, 596, 5922, 433, 4999, 27213, 14278, 374, 2744, 264, 6696, 12744, 1990, 5070, 323, 16437, 13, 1472, 649, 1005, 62029, 320, 15680, 264, 1579, 907, 315, 308, 11, 2019, 220, 2636, 15, 8, 323, 1005, 279, 6767, 315, 7041, 1268, 1790, 23851, 374, 20669, 555, 1855, 3777, 311, 1456, 323, 8417, 279, 1396, 315, 17966, 6956, 311, 2567, 13, 10926, 220, 1490, 4, 374, 3403, 11, 719, 422, 499, 3077, 1193, 11497, 220, 966, 4, 315, 701, 828, 596, 33373, 1306, 220, 2636, 15, 17966, 6956, 11, 1243, 7344, 499, 1205, 459, 10778, 627, 4054, 1648, 311, 7234, 420, 43395, 374, 311, 7234, 279, 1396, 315, 6956, 439, 865, 11, 323, 279, 11497, 33373, 439, 379, 13, 1472, 2351, 4461, 311, 636, 264, 16029, 430, 8638, 1022, 26682, 11, 323, 5334, 357, 44131, 520, 1063, 1486, 320, 269, 8638, 32366, 11, 323, 5990, 1022, 311, 26682, 11, 11911, 389, 902, 1648, 701, 865, 36421, 374, 11713, 570, 43897, 279, 330, 301, 15802, 1, 315, 420, 16029, 690, 6493, 279, 1486, 520, 902, 279, 2853, 315, 7999, 459, 5217, 3777, 36508, 2753, 323, 2753, 93566, 907, 13, 1102, 596, 539, 264, 4832, 4320, 11, 719, 690, 3041, 499, 459, 28137, 315, 17715, 1405, 311, 743, 701, 308, 627, 4991, 12964, 2337, 77907, 1087, 5158, 706, 459, 2612, 430, 5039, 279, 11497, 33373, 1306, 27442, 482, 1005, 420, 311, 1520, 636, 264, 2731, 2733, 369, 701, 828, 627, 4516, 279, 2875, 2373, 315, 420, 374, 11, 499, 649, 1629, 62029, 449, 904, 1396, 308, 499, 1390, 11, 719, 1193, 3820, 279, 1948, 597, 6956, 1405, 304, 10824, 11, 814, 656, 264, 1695, 3403, 2683, 320, 2940, 330, 19045, 3403, 1, 374, 4613, 555, 499, 8, 315, 26073, 279, 33373, 304, 701, 828, 627, 35643, 2718, 11, 1427, 1139, 4857, 459, 3313, 12, 28106, 1701, 264, 56812, 278, 30828, 4272, 320, 42, 9431, 17146, 3890, 5072, 705, 1521, 8541, 311, 656, 1633, 1695, 2683, 315, 26168, 11, 5423, 1405, 810, 13790, 5528, 320, 4908, 62029, 8, 1505, 279, 3465, 810, 17436, 627, 58, 17379, 60, 7429, 11, 311, 2686, 701, 1620, 1486, 482, 62029, 40464, 3596, 8108, 279, 4668, 3634, 311, 264, 907, 2753, 1109, 279, 1396, 315, 24654, 13, 3011, 374, 11, 1405, 499, 2351, 26040, 433, 449, 264, 2678, 1396, 315, 24654, 6296, 264, 3544, 1396, 315, 4519, 11, 499, 649, 956, 5457, 62029, 311, 8108, 279, 4668, 7321, 311, 264, 907, 4827, 1109, 701, 22695, 1797, 627, 50344, 1977, 709, 810, 828, 11, 477, 7068, 433, 1701, 701, 2926, 10550, 439, 264, 6041, 1486, 11, 323, 27444, 1113, 433, 320, 82, 70872, 11, 7999, 1063, 4288, 23851, 8530, 8, 779, 430, 499, 649, 57482, 73581, 304, 264, 3544, 3403, 10550, 627, 2028, 5196, 2643, 17477, 499, 1063, 5435, 11, 2533, 1457, 499, 3358, 617, 311, 3568, 449, 264, 8294, 5044, 43972, 4245, 311, 279, 1988, 3160, 11, 4856, 1109, 279, 4668, 9531, 627, 6971, 1088, 15548, 6253, 433, 779, 430, 701, 62029, 44846, 288, 701, 4668, 9531, 1523, 311, 1193, 220, 1135, 6956, 1053, 4017, 701, 4360, 304, 279, 1176, 2035, 11, 323, 8530, 701, 84913, 4668, 3634, 690, 3136, 311, 3493, 499, 449, 3403, 16540, 315, 33373, 311, 387, 5505, 13, 1102, 596, 4279, 311, 1193, 1005, 7344, 220, 20, 6956, 369, 3187, 11, 719, 449, 459, 5938, 4814, 315, 16437, 13, 578, 8206, 15812, 304, 701, 828, 627, 2520, 1579, 15696, 11, 358, 1373, 430, 18606, 483, 22196, 488, 4375, 2731, 1109, 22730, 51178, 32235, 320, 2485, 1129, 268, 34466, 2726, 26583, 11547, 437, 483, 77336, 570, 10926, 499, 649, 1456, 420, 627, 2688, 279, 4320, 499, 2351, 3411, 369, 30, 42812, 1023, 4860, 38213, 81996, 10344, 13167, 2786, 5621, 23985, 6138, 13871, 67, 477, 2610, 701, 1866, 3488, 627, 4438, 311, 11294, 279, 6138, 1990, 1403, 6302, 14, 7862, 5380, 128001, -100, 22186, 5606, 617, 2680, 311, 29302, 55687, 369, 264, 50853, 261, 473, 2318, 477, 473, 605, 60797, 5780, 30, 1226, 617, 1027, 4560, 311, 636, 1124, 505, 50853, 261, 369, 220, 21, 4038, 323, 814, 649, 956, 636, 1124, 369, 603, 627, 22105, 832, 315, 279, 50270, 1618, 389, 12404, 2984, 649, 1520, 477, 3493, 264, 5425, 5905, 13, 11361, 198, 14783, 29302, 55687, 1070, 527, 3892, 5220, 430, 48444, 304, 682, 21522, 315, 55687, 627, 14783, 29302, 55687, 1070, 527, 3892, 5220, 430, 48444, 304, 682, 21522, 315, 55687, 13, 330, 58234, 29302, 26446, 1359, 330, 54803, 84, 1538, 30797, 916, 702, 40, 2846, 3411, 11951, 369, 50853, 261, 6883, 55687, 477, 264, 5425, 5905, 430, 690, 10954, 304, 872, 5950, 2007, 627, 40, 1935, 433, 279, 1403, 5220, 10212, 7846, 956, 1520, 499, 627, 7368, 11519, 571, 24327, 76110, 79206, 477, 1456, 26367, 3647, 461, 304, 7008, 627, 40, 1781, 499, 19089, 701, 1866, 3488, 13, 1472, 11951, 1390, 50853, 261, 6883, 1975, 627, 11458, 11, 1442, 499, 1120, 1390, 55687, 430, 5052, 279, 2007, 11, 1650, 279, 5220, 10212, 11, 477, 1456, 452, 2783, 40, 13, 358, 1005, 426, 11539, 55687, 3131, 304, 264, 6437, 18266, 369, 24069, 477, 56186, 990, 323, 814, 990, 9193, 1664, 627, 1687, 617, 1148, 499, 1205, 13, 220, 23873, 220, 25303, 12, 16544, 16, 627, 22560, 499, 649, 1629, 1124, 927, 449, 264, 23243, 12157, 323, 814, 990, 1093, 502, 627, 35541, 1587, 617, 279, 2027, 323, 279, 11503, 430, 3952, 1461, 220, 20, 2919, 311, 617, 304, 856, 1450, 323, 433, 3952, 50853, 261, 220, 20, 4038, 719, 814, 1550, 1501, 709, 520, 279, 1890, 892, 11, 57843, 13, 1226, 1511, 279, 27220, 426, 11539, 55687, 5668, 266, 398, 323, 617, 3686, 311, 1005, 279, 50853, 261, 55687, 449, 279, 1633, 36301, 342, 9746, 13, 11361, 11519, 198, 15339, 68386, 4645, 198, 72, 1053, 1093, 311, 1440, 422, 499, 1866, 264, 282, 68076, 369, 34397, 220, 19, 272, 1031, 9457, 18072, 72, 1097, 3411, 311, 7782, 264, 272, 1031, 323, 279, 3645, 19, 305, 605, 374, 389, 856, 1160, 198, 708, 701, 1520, 374, 1790, 26893, 198, 58517, 499, 304, 12178, 198, 32329, 3633, 198, 1956, 315, 701, 36127, 25, 128001, -100, 10267, 753, 9616, 279, 21533, 25737, 11598, 2152, 6830, 13655, 15, 6296, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 4390, 8140, 12593, 2007, 3770, 14861, 682, 279, 3062, 29803, 315, 1855, 6382, 13, 763, 420, 3185, 14656, 25034, 3477, 11, 584, 690, 387, 27393, 21533, 25737, 11598, 2152, 6830, 13655, 15, 323, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 570, 6104, 21533, 25737, 11598, 2152, 6830, 13655, 15, 706, 92881, 7813, 12271, 11, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 8, 706, 220, 1758, 3906, 12271, 323, 220, 1187, 13, 17, 706, 264, 220, 1187, 13, 17, 9599, 323, 2009, 3074, 386, 605, 320, 13129, 220, 12676, 21, 8, 706, 264, 220, 1187, 13, 15, 9599, 11175, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125 ]
[ 128000, 40, 574, 9408, 10213, 555, 308, 94342, 323, 358, 11471, 499, 358, 2751, 12673, 311, 6305, 584, 1047, 1524, 369, 220, 18, 12, 21, 4038, 994, 358, 574, 220, 21, 1667, 2362, 13, 4718, 7555, 4536, 956, 1524, 2133, 311, 11322, 279, 7537, 1364, 6944, 0, 20636, 264, 99357, 701, 6980, 636, 12673, 311, 2643, 1524, 387, 264, 1695, 3245, 369, 1077, 5133, 449, 701, 6980, 13, 358, 2103, 617, 264, 5133, 449, 856, 6691, 1306, 3515, 17454, 3345, 3403, 311, 617, 1027, 304, 264, 99357, 596, 13306, 439, 264, 27144, 61365, 46342, 13, 4718, 7555, 4536, 956, 7231, 701, 6980, 279, 84911, 814, 1205, 505, 264, 6691, 5042, 1606, 1364, 4536, 956, 1070, 13, 1442, 499, 3136, 311, 23973, 701, 6980, 3794, 430, 505, 264, 15528, 99357, 11, 814, 690, 47540, 701, 7555, 369, 2646, 7231, 1124, 6691, 398, 84911, 320, 50998, 505, 1077, 477, 279, 99357, 570, 358, 1097, 26259, 856, 6691, 14896, 279, 308, 94342, 1364, 1550, 323, 814, 6688, 757, 2555, 856, 6691, 1436, 539, 13, 1442, 602, 617, 264, 87126, 6134, 315, 308, 94342, 11, 358, 1097, 539, 2771, 358, 1053, 2733, 279, 1890, 323, 358, 1097, 2771, 358, 1053, 539, 617, 264, 6928, 5133, 449, 856, 3450, 11, 1606, 1364, 5828, 956, 1070, 13, 578, 308, 94342, 1051, 459, 9070, 315, 1077, 11, 323, 304, 1077, 8405, 1124, 11, 358, 1097, 3025, 311, 2733, 1077, 3021, 369, 757, 1555, 430, 13, 4718, 7555, 374, 41566, 701, 6980, 682, 315, 430, 13, 128001, 128000, 42, 717, 11397, 220, 17, 303, 24749, 18242, 1219, 31882, 2711, 77279, 1389, 18242, 1219, 31882, 2711, 77279, 3493, 701, 4236, 449, 279, 12914, 814, 1397, 311, 1373, 30820, 13, 2684, 527, 7177, 304, 2978, 430, 15806, 4236, 304, 5370, 5789, 315, 872, 6677, 13, 2435, 1005, 1521, 7177, 311, 8854, 439, 264, 7649, 14473, 13, 4314, 7177, 527, 6319, 2212, 5150, 15082, 11, 323, 4236, 527, 3685, 311, 15806, 323, 14532, 1148, 814, 1373, 13, 47802, 4250, 1304, 709, 872, 18463, 389, 1148, 814, 1288, 4639, 323, 1268, 814, 1288, 10552, 433, 13, 2684, 527, 3892, 7526, 2561, 430, 1436, 1304, 279, 1920, 35388, 369, 50794, 323, 4236, 627, 38783, 20924, 527, 459, 9250, 1648, 311, 10299, 6848, 11, 31335, 4236, 11, 323, 4320, 4860, 304, 279, 538, 13, 2684, 527, 3892, 68625, 2561, 430, 14861, 279, 2768, 7512, 1778, 439, 59776, 11, 18242, 1219, 31882, 2711, 11, 18242, 15535, 11, 77797, 11, 323, 24838, 13, 9062, 8712, 5764, 5361, 63726, 477, 905, 14, 1904, 11709, 13, 1789, 279, 22654, 37736, 11, 279, 4236, 649, 387, 3984, 449, 264, 13861, 311, 10765, 279, 8792, 4623, 505, 5361, 2671, 13, 1115, 690, 1520, 4236, 311, 2731, 58389, 279, 21765, 13, 4718, 4236, 2011, 1373, 279, 21765, 323, 1243, 6013, 311, 4860, 9002, 1475, 4040, 315, 279, 21765, 627, 42, 717, 11397, 220, 17, 303, 24749, 18242, 1219, 31882, 2711, 77279, 198, 791, 18242, 1219, 31882, 2711, 83731, 6209, 279, 5575, 449, 2380, 13650, 311, 1373, 323, 24564, 11, 439, 1664, 439, 3350, 2949, 1855, 315, 279, 14491, 13, 1115, 374, 459, 3187, 315, 1268, 499, 2643, 2231, 279, 37736, 3871, 304, 701, 24978, 13, 578, 13650, 527, 25, 6498, 99272, 11, 9506, 33025, 11, 18242, 1219, 31882, 2711, 323, 77797, 13, 1472, 4805, 1205, 311, 3041, 459, 3187, 11914, 320, 778, 2101, 682, 279, 4339, 499, 1781, 279, 21765, 2643, 6782, 8, 3235, 449, 264, 7419, 11, 264, 3488, 11, 323, 459, 16540, 315, 1855, 8712, 627, 791, 4948, 5699, 374, 2536, 58162, 5403, 62194, 68625, 311, 4639, 279, 57940, 315, 5403, 13, 2435, 2997, 3492, 22654, 4339, 11, 3492, 62194, 23783, 23719, 11, 43743, 24838, 7640, 11, 323, 9071, 4860, 13, 1556, 10728, 3645, 369, 2536, 58162, 62194, 68625, 369, 5403, 374, 11383, 7447, 63726, 11, 902, 6276, 4236, 311, 5268, 279, 1314, 4320, 505, 264, 6727, 13, 362, 2478, 315, 1521, 13650, 1436, 387, 7033, 3235, 449, 7138, 13363, 477, 2875, 7493, 627, 791, 4948, 5699, 11, 68625, 311, 7417, 701, 5403, 62194, 520, 5990, 5190, 11, 690, 387, 810, 315, 264, 1296, 11, 1109, 433, 374, 315, 2262, 13, 763, 420, 538, 433, 374, 3284, 311, 3118, 264, 1396, 315, 11084, 2237, 13650, 323, 1304, 1005, 315, 5361, 5873, 369, 27397, 11503, 505, 264, 7447, 63726, 3857, 13, 23212, 11, 499, 690, 3493, 5361, 11503, 430, 527, 4495, 323, 15465, 1054, 15357, 1431, 1440, 9520, 477, 1054, 83261, 11453, 1789, 264, 8857, 315, 279, 15223, 315, 279, 11084, 2237, 5403, 62194, 23783, 11, 433, 374, 2631, 311, 387, 2631, 311, 3493, 520, 3325, 520, 264, 3254, 4495, 5873, 13, 21844, 2237, 5403, 62194, 23783, 6118, 5357, 389, 4339, 430, 1193, 5101, 3131, 13, 578, 8857, 315, 11084, 11852, 5403, 62194, 68625, 3504, 220, 2636, 477, 17162, 4339, 323, 9093, 11, 499, 2834, 1431, 1505, 2288, 1690, 2671, 304, 1521, 9256, 627, 791, 11999, 5699, 11, 902, 374, 5403, 62194, 68625, 369, 2911, 323, 27294, 11, 4536, 1431, 922, 5403, 304, 904, 1648, 13, 1102, 374, 810, 922, 1268, 311, 7858, 279, 7065, 994, 499, 1373, 6603, 11, 8104, 422, 499, 527, 5403, 279, 990, 304, 264, 24978, 6376, 13, 7648, 315, 279, 4477, 7384, 430, 527, 59713, 617, 1027, 6319, 369, 6412, 439, 384, 84191, 477, 95721, 11, 323, 527, 1903, 2561, 4669, 4232, 505, 279, 8191, 439, 1664, 439, 15075, 389, 11325, 269, 304, 2363, 1376, 13, 9176, 4236, 323, 1884, 520, 2162, 656, 539, 15575, 2680, 311, 8191, 439, 1664, 439, 656, 539, 387, 3025, 311, 1505, 4756, 4375, 2085, 459, 2930, 11240, 627, 24901, 11, 1070, 527, 68625, 389, 5403, 62194, 369, 4236, 889, 617, 2736, 17427, 279, 7314, 2237, 315, 279, 3917, 11, 323, 527, 1457, 5644, 311, 3351, 389, 311, 810, 5107, 3769, 13, 4314, 7177, 8965, 2997, 5361, 63726, 4860, 477, 1949, 3350, 22610, 13, 2435, 527, 6118, 5129, 1109, 1884, 6982, 304, 538, 13, 2435, 1101, 617, 264, 3645, 430, 374, 2204, 13, 578, 68625, 430, 527, 8475, 369, 1521, 5990, 690, 387, 2728, 520, 3060, 279, 7314, 477, 520, 279, 17102, 315, 279, 538, 311, 1501, 4236, 264, 8205, 315, 19476, 13, 763, 1063, 5157, 11, 1521, 40786, 690, 1101, 4668, 1949, 59569, 14491, 902, 6209, 4236, 3515, 279, 3072, 315, 66288, 872, 990, 430, 814, 617, 1120, 1373, 74303, 1109, 4477, 872, 11503, 85207, 13, 1115, 6276, 4236, 311, 55414, 279, 19476, 814, 4070, 9687, 323, 311, 20461, 872, 3495, 18000, 304, 264, 23387, 11827, 627, 2173, 14224, 11, 279, 1890, 17959, 369, 27397, 5403, 62194, 68625, 3881, 311, 1023, 13124, 315, 279, 1296, 13, 1102, 374, 7718, 311, 5268, 7177, 449, 4528, 4477, 4860, 11, 719, 2187, 3403, 3130, 369, 3927, 7649, 13, 1102, 374, 1101, 16996, 311, 3373, 7177, 430, 656, 387, 3025, 311, 1304, 279, 5575, 2733, 22486, 555, 279, 11326, 477, 279, 56185, 13, 23212, 11, 433, 374, 16996, 311, 3373, 7177, 430, 6767, 279, 5575, 753, 18000, 311, 58389, 74303, 1109, 5042, 9204, 813, 5845, 311, 11886, 5435, 13, 3277, 4737, 682, 1521, 13878, 1139, 18361, 20783, 690, 387, 3738, 311, 1505, 68625, 369, 279, 538, 430, 690, 387, 7524, 323, 7185, 13, 128001, 128000, 37016, 5742, 25, 16421, 20963, 21056, 198, 6607, 4078, 25, 11842, 12278, 5036, 198, 73490, 2696, 25, 220, 1049, 15, 198, 9032, 4605, 25, 452, 10576, 198, 16198, 505, 11746, 25, 578, 25450, 744, 323, 31886, 13, 96320, 220, 19869, 13, 30169, 596, 13002, 13, 8681, 18491, 269, 811, 304, 10170, 320, 38, 80718, 4390, 3513, 1147, 11, 16768, 26, 81015, 942, 11, 3842, 26, 328, 48711, 11, 92664, 198, 31233, 389, 40806, 990, 1990, 279, 7694, 369, 72334, 977, 53686, 22107, 320, 6008, 40, 8, 10181, 323, 279, 28574, 11166, 315, 10170, 11, 420, 30676, 5097, 9610, 315, 12966, 6, 75444, 449, 11741, 977, 4014, 462, 1147, 311, 34454, 88, 3059, 279, 4007, 315, 279, 13238, 1887, 323, 7953, 13, 578, 5089, 12302, 994, 4236, 4879, 311, 17322, 264, 89207, 65795, 1984, 505, 16335, 3634, 13, 77533, 5859, 430, 814, 527, 9196, 40, 14248, 11, 4236, 3240, 311, 24564, 1405, 304, 1057, 13238, 1887, 323, 7953, 1070, 1253, 387, 4787, 37849, 369, 2324, 13, 20783, 19874, 1268, 1057, 13238, 1887, 323, 1023, 62938, 6067, 1253, 617, 14454, 11, 323, 2980, 1268, 2038, 922, 1057, 13238, 1887, 18809, 1139, 264, 11493, 6945, 315, 279, 15861, 13, 1115, 2363, 5764, 4092, 2038, 369, 13639, 323, 17226, 5070, 13, 47802, 656, 539, 1205, 311, 617, 3361, 6677, 315, 82213, 311, 3118, 420, 5089, 7946, 13, 320, 18408, 44, 340, 59653, 25, 95803, 11, 26545, 11, 41763, 11930, 11, 10170, 44382, 11, 10170, 323, 13581, 11, 10170, 43754, 11, 10170, 30151, 11, 9983, 19241, 11, 25450, 744, 11, 11746, 76022, 11, 11746, 23199, 11, 45377, 60545, 11, 12053, 11930, 198, 31272, 315, 7188, 11, 28574, 11166, 315, 10170, 11, 33108, 11, 9362, 220, 26511, 508, 12, 15830, 15, 1746, 972, 570, 23683, 25, 220, 15633, 12, 22266, 12, 15831, 16, 26, 5000, 2816, 25, 1795, 1129, 2185, 929, 5104, 13, 655, 28399, 12871, 16169, 80718, 627, 73490, 4078, 25, 18312, 26, 60545, 482, 77129, 482, 30169, 198, 40234, 9580, 25, 452, 10576, 198, 54049, 1873, 25, 18373, 684, 388, 26, 47802, 198, 7279, 287, 43964, 25, 7188, 67612, 2637, 33108, 13, 28574, 11166, 315, 10170, 13, 128001 ]
[ -100, 40, 574, 9408, 10213, 555, 308, 94342, 323, 358, 11471, 499, 358, 2751, 12673, 311, 6305, 584, 1047, 1524, 369, 220, 18, 12, 21, 4038, 994, 358, 574, 220, 21, 1667, 2362, 13, 4718, 7555, 4536, 956, 1524, 2133, 311, 11322, 279, 7537, 1364, 6944, 0, 20636, 264, 99357, 701, 6980, 636, 12673, 311, 2643, 1524, 387, 264, 1695, 3245, 369, 1077, 5133, 449, 701, 6980, 13, 358, 2103, 617, 264, 5133, 449, 856, 6691, 1306, 3515, 17454, 3345, 3403, 311, 617, 1027, 304, 264, 99357, 596, 13306, 439, 264, 27144, 61365, 46342, 13, 4718, 7555, 4536, 956, 7231, 701, 6980, 279, 84911, 814, 1205, 505, 264, 6691, 5042, 1606, 1364, 4536, 956, 1070, 13, 1442, 499, 3136, 311, 23973, 701, 6980, 3794, 430, 505, 264, 15528, 99357, 11, 814, 690, 47540, 701, 7555, 369, 2646, 7231, 1124, 6691, 398, 84911, 320, 50998, 505, 1077, 477, 279, 99357, 570, 358, 1097, 26259, 856, 6691, 14896, 279, 308, 94342, 1364, 1550, 323, 814, 6688, 757, 2555, 856, 6691, 1436, 539, 13, 1442, 602, 617, 264, 87126, 6134, 315, 308, 94342, 11, 358, 1097, 539, 2771, 358, 1053, 2733, 279, 1890, 323, 358, 1097, 2771, 358, 1053, 539, 617, 264, 6928, 5133, 449, 856, 3450, 11, 1606, 1364, 5828, 956, 1070, 13, 578, 308, 94342, 1051, 459, 9070, 315, 1077, 11, 323, 304, 1077, 8405, 1124, 11, 358, 1097, 3025, 311, 2733, 1077, 3021, 369, 757, 1555, 430, 13, 4718, 7555, 374, 41566, 701, 6980, 682, 315, 430, 13, 128001, -100, 42, 717, 11397, 220, 17, 303, 24749, 18242, 1219, 31882, 2711, 77279, 1389, 18242, 1219, 31882, 2711, 77279, 3493, 701, 4236, 449, 279, 12914, 814, 1397, 311, 1373, 30820, 13, 2684, 527, 7177, 304, 2978, 430, 15806, 4236, 304, 5370, 5789, 315, 872, 6677, 13, 2435, 1005, 1521, 7177, 311, 8854, 439, 264, 7649, 14473, 13, 4314, 7177, 527, 6319, 2212, 5150, 15082, 11, 323, 4236, 527, 3685, 311, 15806, 323, 14532, 1148, 814, 1373, 13, 47802, 4250, 1304, 709, 872, 18463, 389, 1148, 814, 1288, 4639, 323, 1268, 814, 1288, 10552, 433, 13, 2684, 527, 3892, 7526, 2561, 430, 1436, 1304, 279, 1920, 35388, 369, 50794, 323, 4236, 627, 38783, 20924, 527, 459, 9250, 1648, 311, 10299, 6848, 11, 31335, 4236, 11, 323, 4320, 4860, 304, 279, 538, 13, 2684, 527, 3892, 68625, 2561, 430, 14861, 279, 2768, 7512, 1778, 439, 59776, 11, 18242, 1219, 31882, 2711, 11, 18242, 15535, 11, 77797, 11, 323, 24838, 13, 9062, 8712, 5764, 5361, 63726, 477, 905, 14, 1904, 11709, 13, 1789, 279, 22654, 37736, 11, 279, 4236, 649, 387, 3984, 449, 264, 13861, 311, 10765, 279, 8792, 4623, 505, 5361, 2671, 13, 1115, 690, 1520, 4236, 311, 2731, 58389, 279, 21765, 13, 4718, 4236, 2011, 1373, 279, 21765, 323, 1243, 6013, 311, 4860, 9002, 1475, 4040, 315, 279, 21765, 627, 42, 717, 11397, 220, 17, 303, 24749, 18242, 1219, 31882, 2711, 77279, 198, 791, 18242, 1219, 31882, 2711, 83731, 6209, 279, 5575, 449, 2380, 13650, 311, 1373, 323, 24564, 11, 439, 1664, 439, 3350, 2949, 1855, 315, 279, 14491, 13, 1115, 374, 459, 3187, 315, 1268, 499, 2643, 2231, 279, 37736, 3871, 304, 701, 24978, 13, 578, 13650, 527, 25, 6498, 99272, 11, 9506, 33025, 11, 18242, 1219, 31882, 2711, 323, 77797, 13, 1472, 4805, 1205, 311, 3041, 459, 3187, 11914, 320, 778, 2101, 682, 279, 4339, 499, 1781, 279, 21765, 2643, 6782, 8, 3235, 449, 264, 7419, 11, 264, 3488, 11, 323, 459, 16540, 315, 1855, 8712, 627, 791, 4948, 5699, 374, 2536, 58162, 5403, 62194, 68625, 311, 4639, 279, 57940, 315, 5403, 13, 2435, 2997, 3492, 22654, 4339, 11, 3492, 62194, 23783, 23719, 11, 43743, 24838, 7640, 11, 323, 9071, 4860, 13, 1556, 10728, 3645, 369, 2536, 58162, 62194, 68625, 369, 5403, 374, 11383, 7447, 63726, 11, 902, 6276, 4236, 311, 5268, 279, 1314, 4320, 505, 264, 6727, 13, 362, 2478, 315, 1521, 13650, 1436, 387, 7033, 3235, 449, 7138, 13363, 477, 2875, 7493, 627, 791, 4948, 5699, 11, 68625, 311, 7417, 701, 5403, 62194, 520, 5990, 5190, 11, 690, 387, 810, 315, 264, 1296, 11, 1109, 433, 374, 315, 2262, 13, 763, 420, 538, 433, 374, 3284, 311, 3118, 264, 1396, 315, 11084, 2237, 13650, 323, 1304, 1005, 315, 5361, 5873, 369, 27397, 11503, 505, 264, 7447, 63726, 3857, 13, 23212, 11, 499, 690, 3493, 5361, 11503, 430, 527, 4495, 323, 15465, 1054, 15357, 1431, 1440, 9520, 477, 1054, 83261, 11453, 1789, 264, 8857, 315, 279, 15223, 315, 279, 11084, 2237, 5403, 62194, 23783, 11, 433, 374, 2631, 311, 387, 2631, 311, 3493, 520, 3325, 520, 264, 3254, 4495, 5873, 13, 21844, 2237, 5403, 62194, 23783, 6118, 5357, 389, 4339, 430, 1193, 5101, 3131, 13, 578, 8857, 315, 11084, 11852, 5403, 62194, 68625, 3504, 220, 2636, 477, 17162, 4339, 323, 9093, 11, 499, 2834, 1431, 1505, 2288, 1690, 2671, 304, 1521, 9256, 627, 791, 11999, 5699, 11, 902, 374, 5403, 62194, 68625, 369, 2911, 323, 27294, 11, 4536, 1431, 922, 5403, 304, 904, 1648, 13, 1102, 374, 810, 922, 1268, 311, 7858, 279, 7065, 994, 499, 1373, 6603, 11, 8104, 422, 499, 527, 5403, 279, 990, 304, 264, 24978, 6376, 13, 7648, 315, 279, 4477, 7384, 430, 527, 59713, 617, 1027, 6319, 369, 6412, 439, 384, 84191, 477, 95721, 11, 323, 527, 1903, 2561, 4669, 4232, 505, 279, 8191, 439, 1664, 439, 15075, 389, 11325, 269, 304, 2363, 1376, 13, 9176, 4236, 323, 1884, 520, 2162, 656, 539, 15575, 2680, 311, 8191, 439, 1664, 439, 656, 539, 387, 3025, 311, 1505, 4756, 4375, 2085, 459, 2930, 11240, 627, 24901, 11, 1070, 527, 68625, 389, 5403, 62194, 369, 4236, 889, 617, 2736, 17427, 279, 7314, 2237, 315, 279, 3917, 11, 323, 527, 1457, 5644, 311, 3351, 389, 311, 810, 5107, 3769, 13, 4314, 7177, 8965, 2997, 5361, 63726, 4860, 477, 1949, 3350, 22610, 13, 2435, 527, 6118, 5129, 1109, 1884, 6982, 304, 538, 13, 2435, 1101, 617, 264, 3645, 430, 374, 2204, 13, 578, 68625, 430, 527, 8475, 369, 1521, 5990, 690, 387, 2728, 520, 3060, 279, 7314, 477, 520, 279, 17102, 315, 279, 538, 311, 1501, 4236, 264, 8205, 315, 19476, 13, 763, 1063, 5157, 11, 1521, 40786, 690, 1101, 4668, 1949, 59569, 14491, 902, 6209, 4236, 3515, 279, 3072, 315, 66288, 872, 990, 430, 814, 617, 1120, 1373, 74303, 1109, 4477, 872, 11503, 85207, 13, 1115, 6276, 4236, 311, 55414, 279, 19476, 814, 4070, 9687, 323, 311, 20461, 872, 3495, 18000, 304, 264, 23387, 11827, 627, 2173, 14224, 11, 279, 1890, 17959, 369, 27397, 5403, 62194, 68625, 3881, 311, 1023, 13124, 315, 279, 1296, 13, 1102, 374, 7718, 311, 5268, 7177, 449, 4528, 4477, 4860, 11, 719, 2187, 3403, 3130, 369, 3927, 7649, 13, 1102, 374, 1101, 16996, 311, 3373, 7177, 430, 656, 387, 3025, 311, 1304, 279, 5575, 2733, 22486, 555, 279, 11326, 477, 279, 56185, 13, 23212, 11, 433, 374, 16996, 311, 3373, 7177, 430, 6767, 279, 5575, 753, 18000, 311, 58389, 74303, 1109, 5042, 9204, 813, 5845, 311, 11886, 5435, 13, 3277, 4737, 682, 1521, 13878, 1139, 18361, 20783, 690, 387, 3738, 311, 1505, 68625, 369, 279, 538, 430, 690, 387, 7524, 323, 7185, 13, 128001, -100, 37016, 5742, 25, 16421, 20963, 21056, 198, 6607, 4078, 25, 11842, 12278, 5036, 198, 73490, 2696, 25, 220, 1049, 15, 198, 9032, 4605, 25, 452, 10576, 198, 16198, 505, 11746, 25, 578, 25450, 744, 323, 31886, 13, 96320, 220, 19869, 13, 30169, 596, 13002, 13, 8681, 18491, 269, 811, 304, 10170, 320, 38, 80718, 4390, 3513, 1147, 11, 16768, 26, 81015, 942, 11, 3842, 26, 328, 48711, 11, 92664, 198, 31233, 389, 40806, 990, 1990, 279, 7694, 369, 72334, 977, 53686, 22107, 320, 6008, 40, 8, 10181, 323, 279, 28574, 11166, 315, 10170, 11, 420, 30676, 5097, 9610, 315, 12966, 6, 75444, 449, 11741, 977, 4014, 462, 1147, 311, 34454, 88, 3059, 279, 4007, 315, 279, 13238, 1887, 323, 7953, 13, 578, 5089, 12302, 994, 4236, 4879, 311, 17322, 264, 89207, 65795, 1984, 505, 16335, 3634, 13, 77533, 5859, 430, 814, 527, 9196, 40, 14248, 11, 4236, 3240, 311, 24564, 1405, 304, 1057, 13238, 1887, 323, 7953, 1070, 1253, 387, 4787, 37849, 369, 2324, 13, 20783, 19874, 1268, 1057, 13238, 1887, 323, 1023, 62938, 6067, 1253, 617, 14454, 11, 323, 2980, 1268, 2038, 922, 1057, 13238, 1887, 18809, 1139, 264, 11493, 6945, 315, 279, 15861, 13, 1115, 2363, 5764, 4092, 2038, 369, 13639, 323, 17226, 5070, 13, 47802, 656, 539, 1205, 311, 617, 3361, 6677, 315, 82213, 311, 3118, 420, 5089, 7946, 13, 320, 18408, 44, 340, 59653, 25, 95803, 11, 26545, 11, 41763, 11930, 11, 10170, 44382, 11, 10170, 323, 13581, 11, 10170, 43754, 11, 10170, 30151, 11, 9983, 19241, 11, 25450, 744, 11, 11746, 76022, 11, 11746, 23199, 11, 45377, 60545, 11, 12053, 11930, 198, 31272, 315, 7188, 11, 28574, 11166, 315, 10170, 11, 33108, 11, 9362, 220, 26511, 508, 12, 15830, 15, 1746, 972, 570, 23683, 25, 220, 15633, 12, 22266, 12, 15831, 16, 26, 5000, 2816, 25, 1795, 1129, 2185, 929, 5104, 13, 655, 28399, 12871, 16169, 80718, 627, 73490, 4078, 25, 18312, 26, 60545, 482, 77129, 482, 30169, 198, 40234, 9580, 25, 452, 10576, 198, 54049, 1873, 25, 18373, 684, 388, 26, 47802, 198, 7279, 287, 43964, 25, 7188, 67612, 2637, 33108, 13, 28574, 11166, 315, 10170, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 5519, 279, 12466, 57795, 19868, 304, 3090, 5380, 9642, 17581, 279, 12466, 584, 1005, 374, 44922, 1109, 12290, 13284, 323, 58052, 198, 11787, 814, 220, 18, 35, 17124, 5380, 8140, 64916, 564, 11997, 82, 323, 279, 9305, 72584, 1105, 527, 4276, 220, 18, 35, 17124, 13, 2435, 527, 1903, 555, 26127, 66157, 13, 1442, 499, 7782, 264, 220, 18, 35, 17124, 13253, 1555, 1057, 1443, 391, 70371, 3637, 11, 1243, 1884, 527, 220, 18, 35, 17124, 704, 315, 40708, 328, 2295, 291, 91762, 627, 5519, 814, 1205, 311, 387, 64688, 5380, 2822, 11, 7000, 315, 1057, 3956, 1205, 311, 387, 64688, 439, 814, 1541, 956, 514, 4842, 904, 17055, 87, 4010, 65125, 1093, 945, 299, 9537, 1587, 13, 578, 12466, 323, 43124, 584, 1005, 374, 81073, 323, 649, 387, 9277, 7833, 1139, 701, 62283, 627, 11787, 1521, 6220, 369, 1867, 1147, 5380, 9642, 11, 584, 617, 16102, 1511, 682, 1057, 3956, 311, 3139, 53103, 323, 1057, 6444, 617, 1524, 5068, 2731, 6650, 1109, 449, 1023, 16097, 13, 2052, 1057, 7384, 617, 1027, 1027, 1511, 7946, 311, 3139, 1867, 1147, 323, 17033, 6220, 304, 71145, 62283, 82, 627, 3923, 23185, 91880, 1288, 358, 1005, 422, 18991, 856, 1866, 70125, 5380, 3947, 527, 779, 1690, 2204, 91880, 4595, 430, 584, 4250, 2019, 369, 3738, 902, 6305, 690, 477, 690, 539, 990, 11, 719, 304, 4689, 279, 14595, 37581, 11, 50359, 323, 98066, 68386, 617, 1027, 6982, 311, 387, 6220, 13, 1226, 656, 539, 7079, 14812, 33526, 258, 3196, 17124, 5596, 439, 1521, 617, 1027, 6982, 311, 514, 4842, 3738, 26333, 1139, 279, 3090, 902, 649, 40978, 449, 72491, 2324, 627, 4438, 4228, 374, 433, 311, 4018, 1022, 279, 5740, 31787, 5380, 2181, 596, 779, 4228, 11, 499, 1541, 956, 1524, 1205, 264, 5507, 0, 4702, 7120, 39717, 433, 449, 701, 19779, 627, 3923, 220, 18, 35, 23185, 656, 499, 7079, 5380, 16179, 1690, 16097, 315, 220, 18, 35, 57053, 690, 990, 7060, 11, 1304, 2771, 814, 527, 279, 3169, 902, 1005, 435, 8561, 320, 37, 2656, 4241, 2161, 386, 15345, 8, 477, 328, 7416, 320, 65492, 40708, 328, 2295, 287, 570, 1838, 258, 320, 54737, 8, 3196, 57053, 527, 539, 520, 420, 892, 11, 6646, 6220, 369, 72491, 2324, 13, 1442, 499, 527, 3411, 369, 264, 3230, 6883, 11, 445, 360, 89, 6465, 374, 264, 43660, 2883, 430, 3727, 9250, 32628, 2237, 57053, 13, 11205, 12933, 527, 8831, 311, 1005, 1109, 1455, 11, 617, 1690, 14234, 2671, 323, 649, 1194, 264, 22622, 8205, 315, 7384, 1109, 1690, 315, 279, 1023, 16097, 13, 23212, 11, 872, 6130, 2532, 374, 1948, 51554, 11, 994, 499, 1650, 11, 459, 5150, 54611, 690, 4320, 323, 690, 1455, 4461, 387, 3025, 311, 1520, 499, 1314, 1243, 323, 1070, 13, 128001, 128000, 3947, 1051, 220, 11908, 1060, 19342, 16808, 3340, 1603, 86304, 11, 449, 420, 1694, 279, 1620, 6140, 311, 3780, 264, 1060, 2785, 520, 586, 21852, 304, 13527, 304, 220, 2366, 15, 627, 2688, 481, 4315, 279, 3373, 10209, 374, 264, 25676, 79, 40040, 28227, 4376, 1355, 1601, 311, 420, 1060, 596, 8602, 588, 3258, 5657, 800, 2094, 81187, 45396, 3658, 320, 9363, 220, 9079, 4390, 791, 64894, 266, 41071, 4783, 15204, 2264, 1488, 398, 596, 2199, 574, 2728, 264, 2466, 7916, 2768, 1077, 9191, 45323, 596, 5856, 220, 16, 63488, 323, 11, 389, 5684, 520, 3325, 11, 1364, 5992, 743, 311, 387, 18813, 5956, 78287, 627, 2409, 45396, 3658, 596, 13537, 56774, 315, 22591, 27025, 304, 220, 2366, 16, 11, 420, 1488, 398, 596, 907, 1436, 20245, 344, 2915, 99565, 1603, 1364, 706, 1524, 4295, 279, 3839, 627, 14364, 6437, 94003, 291, 10209, 743, 311, 2586, 1234, 279, 24354, 374, 14937, 32414, 11489, 7814, 596, 15379, 578, 25676, 4376, 1481, 299, 700, 311, 5856, 220, 17, 44394, 4563, 1907, 64, 13946, 20423, 684, 320, 6330, 4390, 2729, 315, 75356, 81187, 55607, 11, 279, 1400, 83, 8111, 311, 617, 264, 5644, 27975, 94054, 369, 469, 1725, 316, 2728, 813, 6699, 6, 74160, 627, 33, 660, 58292, 706, 14333, 2500, 1695, 1060, 389, 279, 3839, 323, 813, 5165, 7814, 15204, 2264, 1400, 83, 320, 3971, 8, 374, 704, 315, 264, 2539, 1355, 1601, 311, 5887, 11098, 13946, 2939, 8934, 5048, 13, 578, 23565, 43280, 71051, 7814, 19504, 374, 4245, 311, 387, 15609, 555, 3116, 10283, 520, 279, 21852, 627, 2181, 574, 1101, 264, 42445, 1060, 369, 8494, 11, 449, 10845, 85234, 17669, 323, 7365, 5046, 8494, 8405, 279, 24882, 6518, 87011, 449, 1948, 11852, 48188, 13, 22395, 813, 2380, 1060, 19342, 389, 6412, 1618, 374, 71865, 20671, 13787, 596, 1400, 83, 320, 10290, 8, 704, 315, 459, 41480, 4535, 4376, 1355, 1601, 311, 27535, 11098, 12084, 1050, 15674, 2785, 627, 11663, 3999, 762, 33024, 10283, 2997, 45659, 5657, 7814, 596, 393, 344, 2426, 4376, 1481, 299, 700, 311, 7997, 8329, 800, 2094, 64769, 36006, 21127, 320, 10895, 705, 264, 445, 2862, 1611, 65706, 1400, 83, 505, 279, 3070, 315, 44394, 16591, 24540, 587, 81187, 58824, 2171, 998, 320, 24, 8, 323, 1615, 1571, 555, 578, 27987, 14024, 7440, 3615, 11, 5636, 17535, 8270, 7814, 596, 7984, 21106, 1488, 398, 11, 505, 279, 3070, 315, 420, 1060, 596, 38298, 11098, 12084, 18288, 71482, 320, 10161, 4390, 51, 10385, 5700, 21892, 3279, 12669, 16566, 3633, 1071, 25, 330, 791, 350, 10385, 5700, 6790, 9941, 2785, 13618, 374, 264, 13263, 2592, 315, 1948, 15144, 45518, 11, 449, 264, 1664, 9749, 17444, 369, 35271, 4367, 323, 907, 369, 3300, 627, 10227, 49639, 369, 279, 220, 2366, 15, 43901, 706, 1615, 625, 1392, 505, 1690, 315, 13527, 323, 14990, 753, 1455, 6992, 12500, 20473, 11, 323, 11, 439, 1664, 439, 11510, 315, 19310, 66782, 8016, 11, 23455, 690, 1505, 264, 3544, 1396, 315, 1060, 19342, 17446, 369, 15525, 7083, 508, 11, 931, 350, 10385, 5700, 6664, 6017, 220, 16, 33321, 323, 279, 3596, 41352, 1299, 7083, 3965, 11, 931, 350, 10385, 5700, 6664, 45200, 800, 2094, 11, 439, 1664, 439, 279, 1664, 5621, 8946, 8681, 8013, 13789, 4881, 10246, 6182, 311, 279, 6412, 374, 22486, 311, 15749, 11, 449, 279, 21852, 7314, 520, 220, 806, 309, 13, 578, 3116, 11477, 12018, 278, 6412, 8638, 520, 220, 605, 309, 389, 8079, 627, 128001, 128000, 1687, 3085, 2225, 2539, 1938, 90919, 35936, 439, 1664, 439, 264, 4101, 315, 220, 16, 13, 20, 71, 6989, 369, 90919, 4236, 13, 23198, 1523, 311, 4048, 810, 4999, 39, 20969, 2184, 10170, 34969, 198, 3648, 3645, 0, 1115, 2068, 11811, 3230, 32031, 6975, 20124, 304, 8198, 369, 1855, 12239, 902, 1288, 26456, 279, 990, 12765, 1618, 520, 279, 3119, 18, 369, 6807, 13, 1472, 1253, 1005, 701, 85274, 479, 12718, 555, 18965, 27258, 8323, 520, 28363, 323, 21973, 704, 701, 8475, 34075, 21390, 7739, 323, 63025, 603, 1405, 311, 25637, 627, 33877, 11378, 369, 96320, 220, 16, 11, 17, 11, 18, 198, 2028, 2380, 2046, 4101, 690, 3504, 264, 8205, 315, 8198, 13650, 17550, 11951, 520, 279, 30676, 369, 420, 4325, 2134, 627, 9688, 2508, 25, 39069, 5655, 1139, 279, 32874, 315, 3980, 2508, 304, 420, 9578, 7666, 1802, 538, 13, 15281, 1268, 14248, 49229, 23902, 11, 3249, 66579, 3621, 11, 323, 1268, 81473, 527, 14454, 13, 393, 1623, 82, 25, 11480, 12912, 12446, 304, 2254, 18921, 320, 36457, 220, 16, 705, 8603, 10383, 279, 11633, 315, 459, 1665, 320, 36457, 220, 17, 705, 10160, 11, 3090, 11, 10054, 2349, 279, 6211, 315, 279, 4363, 320, 36457, 220, 18, 4390, 2654, 2756, 811, 25, 3296, 45480, 753, 48788, 0, 47966, 10737, 311, 18167, 304, 2204, 22484, 13, 34039, 2204, 28198, 430, 10099, 617, 1555, 6206, 389, 7640, 11, 2737, 6968, 701, 1866, 4742, 466, 323, 1701, 2204, 7526, 311, 56459, 12224, 387, 10011, 13, 393, 1623, 82, 25, 19048, 2574, 617, 4519, 323, 71177, 430, 1520, 1124, 18167, 304, 872, 4676, 320, 36457, 220, 16, 705, 19048, 2574, 617, 2324, 25492, 30464, 311, 872, 4676, 320, 36457, 220, 17, 705, 19048, 2574, 527, 17226, 11, 649, 387, 41141, 11, 323, 16681, 304, 872, 61951, 320, 36457, 220, 18, 4390, 1016, 18558, 12634, 25, 45152, 279, 2204, 5627, 430, 8798, 649, 387, 23217, 13, 34039, 279, 26731, 1648, 311, 30099, 10054, 11, 4048, 922, 390, 80298, 11, 323, 1005, 59141, 30945, 33504, 311, 1518, 9499, 4442, 13, 393, 1623, 82, 25, 3177, 323, 5222, 649, 387, 9124, 323, 872, 6012, 649, 387, 5614, 320, 36457, 220, 16, 705, 7384, 649, 387, 5614, 1555, 7106, 323, 11742, 11618, 320, 36457, 220, 17, 705, 29487, 4907, 649, 387, 9124, 323, 23217, 320, 36457, 220, 18, 4390, 56338, 25, 7552, 220, 21, 11, 220, 1032, 323, 220, 508, 505, 220, 717, 25, 966, 12, 17, 25, 410, 5298, 304, 3119, 18, 753, 10170, 19074, 13, 11443, 25, 400, 1774, 627, 28623, 11378, 369, 96320, 220, 19, 11, 20, 11, 21, 198, 45605, 20695, 323, 11205, 2998, 18347, 25, 763, 279, 5587, 2162, 53243, 4101, 11, 1855, 538, 690, 5357, 389, 832, 13189, 315, 279, 7057, 5496, 2574, 323, 872, 22484, 627, 24105, 4954, 10995, 13978, 25, 763, 2015, 311, 4048, 922, 10099, 11, 499, 2011, 1440, 1268, 311, 49229, 1124, 0, 1115, 3882, 690, 1427, 1139, 1268, 14248, 22824, 553, 10099, 3196, 389, 1268, 814, 1427, 11, 36792, 11, 323, 16681, 449, 2204, 22484, 13, 8012, 264, 5021, 315, 2324, 6505, 11, 4048, 922, 2204, 28175, 36853, 10099, 1005, 311, 5647, 872, 4676, 11, 323, 6725, 701, 88068, 7512, 13, 393, 1623, 82, 25, 2052, 5496, 2574, 5647, 323, 6013, 311, 872, 4676, 320, 36457, 220, 19, 705, 22950, 292, 54230, 44304, 617, 2942, 6067, 430, 7431, 1124, 311, 18167, 323, 16681, 2949, 872, 4676, 320, 36457, 220, 20, 4390, 12331, 483, 71428, 25, 578, 18435, 706, 1690, 61951, 311, 13488, 11, 449, 264, 17226, 2134, 315, 10099, 30464, 369, 2324, 304, 279, 3090, 13, 4185, 9885, 264, 7795, 311, 7142, 1148, 2942, 6067, 814, 1005, 311, 18167, 11, 323, 1518, 1268, 279, 259, 3422, 7958, 20566, 430, 3974, 389, 279, 11573, 13, 393, 1623, 82, 25, 578, 54245, 315, 9420, 323, 279, 18266, 5353, 40635, 12912, 430, 7958, 5496, 323, 2536, 2922, 2299, 6067, 320, 36457, 220, 19, 705, 6913, 14726, 323, 5865, 315, 2547, 6067, 1778, 439, 60071, 11, 3167, 79134, 86255, 11, 42631, 11, 323, 4319, 38220, 320, 36457, 220, 20, 705, 92520, 54230, 44304, 17631, 389, 5419, 6067, 311, 18167, 11, 23645, 11, 323, 16681, 449, 872, 4676, 320, 36457, 220, 21, 4390, 50678, 435, 1466, 4341, 25, 20585, 61951, 527, 264, 2294, 2035, 311, 4048, 922, 1268, 11012, 16681, 449, 279, 4676, 323, 1023, 10099, 13, 11359, 264, 3691, 8957, 311, 1518, 1268, 4907, 35292, 11, 4048, 922, 279, 5016, 7515, 894, 38971, 26031, 430, 649, 387, 1766, 1618, 389, 23393, 10951, 11, 323, 1518, 1268, 53354, 9606, 527, 30464, 311, 41972, 304, 502, 22484, 13, 393, 1623, 82, 25, 32252, 287, 323, 30438, 304, 1023, 10099, 323, 11012, 320, 36457, 220, 19, 705, 92520, 54230, 44304, 617, 2942, 6067, 430, 7431, 1124, 311, 18167, 323, 16681, 2949, 872, 4676, 320, 36457, 220, 20, 705, 279, 6913, 6070, 323, 5865, 315, 2547, 6067, 1778, 439, 6136, 42889, 6067, 320, 36457, 220, 21, 4390, 56338, 25, 7552, 220, 1544, 11, 5587, 220, 21, 11, 323, 220, 1032, 505, 220, 717, 25, 966, 12, 17, 25, 410, 5298, 304, 3119, 18, 753, 10170, 19074, 13, 11443, 25, 400, 1774, 627, 39, 20969, 2184, 8797, 6187, 5664, 27868, 198, 33327, 25, 61536, 12040, 2017, 198, 65349, 264, 44892, 28568, 369, 264, 1938, 0, 45152, 810, 922, 44892, 38207, 323, 1268, 12074, 4048, 922, 1521, 8056, 20566, 627, 33877, 25, 9305, 258, 529, 69131, 198, 1688, 3119, 18, 584, 1440, 1268, 1790, 3980, 2508, 23902, 13, 15281, 922, 2204, 4595, 315, 23902, 323, 1268, 311, 10765, 1124, 11, 1005, 34543, 437, 311, 3619, 259, 440, 14338, 25485, 11, 323, 1977, 459, 38413, 11311, 4857, 627, 1489, 25, 220, 24, 25, 410, 1097, 1389, 220, 18, 25, 410, 9012, 198, 75821, 4376, 1938, 505, 220, 24, 25, 410, 1097, 311, 38245, 374, 1101, 2561, 369, 400, 914, 198, 24253, 25, 2561, 3485, 13, 1472, 1253, 1005, 701, 85274, 479, 12718, 555, 18965, 27258, 8323, 520, 28363, 323, 21973, 704, 701, 8475, 34075, 21390, 7739, 323, 63025, 603, 1405, 311, 25637, 13, 128001 ]
[ -100, 5519, 279, 12466, 57795, 19868, 304, 3090, 5380, 9642, 17581, 279, 12466, 584, 1005, 374, 44922, 1109, 12290, 13284, 323, 58052, 198, 11787, 814, 220, 18, 35, 17124, 5380, 8140, 64916, 564, 11997, 82, 323, 279, 9305, 72584, 1105, 527, 4276, 220, 18, 35, 17124, 13, 2435, 527, 1903, 555, 26127, 66157, 13, 1442, 499, 7782, 264, 220, 18, 35, 17124, 13253, 1555, 1057, 1443, 391, 70371, 3637, 11, 1243, 1884, 527, 220, 18, 35, 17124, 704, 315, 40708, 328, 2295, 291, 91762, 627, 5519, 814, 1205, 311, 387, 64688, 5380, 2822, 11, 7000, 315, 1057, 3956, 1205, 311, 387, 64688, 439, 814, 1541, 956, 514, 4842, 904, 17055, 87, 4010, 65125, 1093, 945, 299, 9537, 1587, 13, 578, 12466, 323, 43124, 584, 1005, 374, 81073, 323, 649, 387, 9277, 7833, 1139, 701, 62283, 627, 11787, 1521, 6220, 369, 1867, 1147, 5380, 9642, 11, 584, 617, 16102, 1511, 682, 1057, 3956, 311, 3139, 53103, 323, 1057, 6444, 617, 1524, 5068, 2731, 6650, 1109, 449, 1023, 16097, 13, 2052, 1057, 7384, 617, 1027, 1027, 1511, 7946, 311, 3139, 1867, 1147, 323, 17033, 6220, 304, 71145, 62283, 82, 627, 3923, 23185, 91880, 1288, 358, 1005, 422, 18991, 856, 1866, 70125, 5380, 3947, 527, 779, 1690, 2204, 91880, 4595, 430, 584, 4250, 2019, 369, 3738, 902, 6305, 690, 477, 690, 539, 990, 11, 719, 304, 4689, 279, 14595, 37581, 11, 50359, 323, 98066, 68386, 617, 1027, 6982, 311, 387, 6220, 13, 1226, 656, 539, 7079, 14812, 33526, 258, 3196, 17124, 5596, 439, 1521, 617, 1027, 6982, 311, 514, 4842, 3738, 26333, 1139, 279, 3090, 902, 649, 40978, 449, 72491, 2324, 627, 4438, 4228, 374, 433, 311, 4018, 1022, 279, 5740, 31787, 5380, 2181, 596, 779, 4228, 11, 499, 1541, 956, 1524, 1205, 264, 5507, 0, 4702, 7120, 39717, 433, 449, 701, 19779, 627, 3923, 220, 18, 35, 23185, 656, 499, 7079, 5380, 16179, 1690, 16097, 315, 220, 18, 35, 57053, 690, 990, 7060, 11, 1304, 2771, 814, 527, 279, 3169, 902, 1005, 435, 8561, 320, 37, 2656, 4241, 2161, 386, 15345, 8, 477, 328, 7416, 320, 65492, 40708, 328, 2295, 287, 570, 1838, 258, 320, 54737, 8, 3196, 57053, 527, 539, 520, 420, 892, 11, 6646, 6220, 369, 72491, 2324, 13, 1442, 499, 527, 3411, 369, 264, 3230, 6883, 11, 445, 360, 89, 6465, 374, 264, 43660, 2883, 430, 3727, 9250, 32628, 2237, 57053, 13, 11205, 12933, 527, 8831, 311, 1005, 1109, 1455, 11, 617, 1690, 14234, 2671, 323, 649, 1194, 264, 22622, 8205, 315, 7384, 1109, 1690, 315, 279, 1023, 16097, 13, 23212, 11, 872, 6130, 2532, 374, 1948, 51554, 11, 994, 499, 1650, 11, 459, 5150, 54611, 690, 4320, 323, 690, 1455, 4461, 387, 3025, 311, 1520, 499, 1314, 1243, 323, 1070, 13, 128001, -100, 3947, 1051, 220, 11908, 1060, 19342, 16808, 3340, 1603, 86304, 11, 449, 420, 1694, 279, 1620, 6140, 311, 3780, 264, 1060, 2785, 520, 586, 21852, 304, 13527, 304, 220, 2366, 15, 627, 2688, 481, 4315, 279, 3373, 10209, 374, 264, 25676, 79, 40040, 28227, 4376, 1355, 1601, 311, 420, 1060, 596, 8602, 588, 3258, 5657, 800, 2094, 81187, 45396, 3658, 320, 9363, 220, 9079, 4390, 791, 64894, 266, 41071, 4783, 15204, 2264, 1488, 398, 596, 2199, 574, 2728, 264, 2466, 7916, 2768, 1077, 9191, 45323, 596, 5856, 220, 16, 63488, 323, 11, 389, 5684, 520, 3325, 11, 1364, 5992, 743, 311, 387, 18813, 5956, 78287, 627, 2409, 45396, 3658, 596, 13537, 56774, 315, 22591, 27025, 304, 220, 2366, 16, 11, 420, 1488, 398, 596, 907, 1436, 20245, 344, 2915, 99565, 1603, 1364, 706, 1524, 4295, 279, 3839, 627, 14364, 6437, 94003, 291, 10209, 743, 311, 2586, 1234, 279, 24354, 374, 14937, 32414, 11489, 7814, 596, 15379, 578, 25676, 4376, 1481, 299, 700, 311, 5856, 220, 17, 44394, 4563, 1907, 64, 13946, 20423, 684, 320, 6330, 4390, 2729, 315, 75356, 81187, 55607, 11, 279, 1400, 83, 8111, 311, 617, 264, 5644, 27975, 94054, 369, 469, 1725, 316, 2728, 813, 6699, 6, 74160, 627, 33, 660, 58292, 706, 14333, 2500, 1695, 1060, 389, 279, 3839, 323, 813, 5165, 7814, 15204, 2264, 1400, 83, 320, 3971, 8, 374, 704, 315, 264, 2539, 1355, 1601, 311, 5887, 11098, 13946, 2939, 8934, 5048, 13, 578, 23565, 43280, 71051, 7814, 19504, 374, 4245, 311, 387, 15609, 555, 3116, 10283, 520, 279, 21852, 627, 2181, 574, 1101, 264, 42445, 1060, 369, 8494, 11, 449, 10845, 85234, 17669, 323, 7365, 5046, 8494, 8405, 279, 24882, 6518, 87011, 449, 1948, 11852, 48188, 13, 22395, 813, 2380, 1060, 19342, 389, 6412, 1618, 374, 71865, 20671, 13787, 596, 1400, 83, 320, 10290, 8, 704, 315, 459, 41480, 4535, 4376, 1355, 1601, 311, 27535, 11098, 12084, 1050, 15674, 2785, 627, 11663, 3999, 762, 33024, 10283, 2997, 45659, 5657, 7814, 596, 393, 344, 2426, 4376, 1481, 299, 700, 311, 7997, 8329, 800, 2094, 64769, 36006, 21127, 320, 10895, 705, 264, 445, 2862, 1611, 65706, 1400, 83, 505, 279, 3070, 315, 44394, 16591, 24540, 587, 81187, 58824, 2171, 998, 320, 24, 8, 323, 1615, 1571, 555, 578, 27987, 14024, 7440, 3615, 11, 5636, 17535, 8270, 7814, 596, 7984, 21106, 1488, 398, 11, 505, 279, 3070, 315, 420, 1060, 596, 38298, 11098, 12084, 18288, 71482, 320, 10161, 4390, 51, 10385, 5700, 21892, 3279, 12669, 16566, 3633, 1071, 25, 330, 791, 350, 10385, 5700, 6790, 9941, 2785, 13618, 374, 264, 13263, 2592, 315, 1948, 15144, 45518, 11, 449, 264, 1664, 9749, 17444, 369, 35271, 4367, 323, 907, 369, 3300, 627, 10227, 49639, 369, 279, 220, 2366, 15, 43901, 706, 1615, 625, 1392, 505, 1690, 315, 13527, 323, 14990, 753, 1455, 6992, 12500, 20473, 11, 323, 11, 439, 1664, 439, 11510, 315, 19310, 66782, 8016, 11, 23455, 690, 1505, 264, 3544, 1396, 315, 1060, 19342, 17446, 369, 15525, 7083, 508, 11, 931, 350, 10385, 5700, 6664, 6017, 220, 16, 33321, 323, 279, 3596, 41352, 1299, 7083, 3965, 11, 931, 350, 10385, 5700, 6664, 45200, 800, 2094, 11, 439, 1664, 439, 279, 1664, 5621, 8946, 8681, 8013, 13789, 4881, 10246, 6182, 311, 279, 6412, 374, 22486, 311, 15749, 11, 449, 279, 21852, 7314, 520, 220, 806, 309, 13, 578, 3116, 11477, 12018, 278, 6412, 8638, 520, 220, 605, 309, 389, 8079, 627, 128001, -100, 1687, 3085, 2225, 2539, 1938, 90919, 35936, 439, 1664, 439, 264, 4101, 315, 220, 16, 13, 20, 71, 6989, 369, 90919, 4236, 13, 23198, 1523, 311, 4048, 810, 4999, 39, 20969, 2184, 10170, 34969, 198, 3648, 3645, 0, 1115, 2068, 11811, 3230, 32031, 6975, 20124, 304, 8198, 369, 1855, 12239, 902, 1288, 26456, 279, 990, 12765, 1618, 520, 279, 3119, 18, 369, 6807, 13, 1472, 1253, 1005, 701, 85274, 479, 12718, 555, 18965, 27258, 8323, 520, 28363, 323, 21973, 704, 701, 8475, 34075, 21390, 7739, 323, 63025, 603, 1405, 311, 25637, 627, 33877, 11378, 369, 96320, 220, 16, 11, 17, 11, 18, 198, 2028, 2380, 2046, 4101, 690, 3504, 264, 8205, 315, 8198, 13650, 17550, 11951, 520, 279, 30676, 369, 420, 4325, 2134, 627, 9688, 2508, 25, 39069, 5655, 1139, 279, 32874, 315, 3980, 2508, 304, 420, 9578, 7666, 1802, 538, 13, 15281, 1268, 14248, 49229, 23902, 11, 3249, 66579, 3621, 11, 323, 1268, 81473, 527, 14454, 13, 393, 1623, 82, 25, 11480, 12912, 12446, 304, 2254, 18921, 320, 36457, 220, 16, 705, 8603, 10383, 279, 11633, 315, 459, 1665, 320, 36457, 220, 17, 705, 10160, 11, 3090, 11, 10054, 2349, 279, 6211, 315, 279, 4363, 320, 36457, 220, 18, 4390, 2654, 2756, 811, 25, 3296, 45480, 753, 48788, 0, 47966, 10737, 311, 18167, 304, 2204, 22484, 13, 34039, 2204, 28198, 430, 10099, 617, 1555, 6206, 389, 7640, 11, 2737, 6968, 701, 1866, 4742, 466, 323, 1701, 2204, 7526, 311, 56459, 12224, 387, 10011, 13, 393, 1623, 82, 25, 19048, 2574, 617, 4519, 323, 71177, 430, 1520, 1124, 18167, 304, 872, 4676, 320, 36457, 220, 16, 705, 19048, 2574, 617, 2324, 25492, 30464, 311, 872, 4676, 320, 36457, 220, 17, 705, 19048, 2574, 527, 17226, 11, 649, 387, 41141, 11, 323, 16681, 304, 872, 61951, 320, 36457, 220, 18, 4390, 1016, 18558, 12634, 25, 45152, 279, 2204, 5627, 430, 8798, 649, 387, 23217, 13, 34039, 279, 26731, 1648, 311, 30099, 10054, 11, 4048, 922, 390, 80298, 11, 323, 1005, 59141, 30945, 33504, 311, 1518, 9499, 4442, 13, 393, 1623, 82, 25, 3177, 323, 5222, 649, 387, 9124, 323, 872, 6012, 649, 387, 5614, 320, 36457, 220, 16, 705, 7384, 649, 387, 5614, 1555, 7106, 323, 11742, 11618, 320, 36457, 220, 17, 705, 29487, 4907, 649, 387, 9124, 323, 23217, 320, 36457, 220, 18, 4390, 56338, 25, 7552, 220, 21, 11, 220, 1032, 323, 220, 508, 505, 220, 717, 25, 966, 12, 17, 25, 410, 5298, 304, 3119, 18, 753, 10170, 19074, 13, 11443, 25, 400, 1774, 627, 28623, 11378, 369, 96320, 220, 19, 11, 20, 11, 21, 198, 45605, 20695, 323, 11205, 2998, 18347, 25, 763, 279, 5587, 2162, 53243, 4101, 11, 1855, 538, 690, 5357, 389, 832, 13189, 315, 279, 7057, 5496, 2574, 323, 872, 22484, 627, 24105, 4954, 10995, 13978, 25, 763, 2015, 311, 4048, 922, 10099, 11, 499, 2011, 1440, 1268, 311, 49229, 1124, 0, 1115, 3882, 690, 1427, 1139, 1268, 14248, 22824, 553, 10099, 3196, 389, 1268, 814, 1427, 11, 36792, 11, 323, 16681, 449, 2204, 22484, 13, 8012, 264, 5021, 315, 2324, 6505, 11, 4048, 922, 2204, 28175, 36853, 10099, 1005, 311, 5647, 872, 4676, 11, 323, 6725, 701, 88068, 7512, 13, 393, 1623, 82, 25, 2052, 5496, 2574, 5647, 323, 6013, 311, 872, 4676, 320, 36457, 220, 19, 705, 22950, 292, 54230, 44304, 617, 2942, 6067, 430, 7431, 1124, 311, 18167, 323, 16681, 2949, 872, 4676, 320, 36457, 220, 20, 4390, 12331, 483, 71428, 25, 578, 18435, 706, 1690, 61951, 311, 13488, 11, 449, 264, 17226, 2134, 315, 10099, 30464, 369, 2324, 304, 279, 3090, 13, 4185, 9885, 264, 7795, 311, 7142, 1148, 2942, 6067, 814, 1005, 311, 18167, 11, 323, 1518, 1268, 279, 259, 3422, 7958, 20566, 430, 3974, 389, 279, 11573, 13, 393, 1623, 82, 25, 578, 54245, 315, 9420, 323, 279, 18266, 5353, 40635, 12912, 430, 7958, 5496, 323, 2536, 2922, 2299, 6067, 320, 36457, 220, 19, 705, 6913, 14726, 323, 5865, 315, 2547, 6067, 1778, 439, 60071, 11, 3167, 79134, 86255, 11, 42631, 11, 323, 4319, 38220, 320, 36457, 220, 20, 705, 92520, 54230, 44304, 17631, 389, 5419, 6067, 311, 18167, 11, 23645, 11, 323, 16681, 449, 872, 4676, 320, 36457, 220, 21, 4390, 50678, 435, 1466, 4341, 25, 20585, 61951, 527, 264, 2294, 2035, 311, 4048, 922, 1268, 11012, 16681, 449, 279, 4676, 323, 1023, 10099, 13, 11359, 264, 3691, 8957, 311, 1518, 1268, 4907, 35292, 11, 4048, 922, 279, 5016, 7515, 894, 38971, 26031, 430, 649, 387, 1766, 1618, 389, 23393, 10951, 11, 323, 1518, 1268, 53354, 9606, 527, 30464, 311, 41972, 304, 502, 22484, 13, 393, 1623, 82, 25, 32252, 287, 323, 30438, 304, 1023, 10099, 323, 11012, 320, 36457, 220, 19, 705, 92520, 54230, 44304, 617, 2942, 6067, 430, 7431, 1124, 311, 18167, 323, 16681, 2949, 872, 4676, 320, 36457, 220, 20, 705, 279, 6913, 6070, 323, 5865, 315, 2547, 6067, 1778, 439, 6136, 42889, 6067, 320, 36457, 220, 21, 4390, 56338, 25, 7552, 220, 1544, 11, 5587, 220, 21, 11, 323, 220, 1032, 505, 220, 717, 25, 966, 12, 17, 25, 410, 5298, 304, 3119, 18, 753, 10170, 19074, 13, 11443, 25, 400, 1774, 627, 39, 20969, 2184, 8797, 6187, 5664, 27868, 198, 33327, 25, 61536, 12040, 2017, 198, 65349, 264, 44892, 28568, 369, 264, 1938, 0, 45152, 810, 922, 44892, 38207, 323, 1268, 12074, 4048, 922, 1521, 8056, 20566, 627, 33877, 25, 9305, 258, 529, 69131, 198, 1688, 3119, 18, 584, 1440, 1268, 1790, 3980, 2508, 23902, 13, 15281, 922, 2204, 4595, 315, 23902, 323, 1268, 311, 10765, 1124, 11, 1005, 34543, 437, 311, 3619, 259, 440, 14338, 25485, 11, 323, 1977, 459, 38413, 11311, 4857, 627, 1489, 25, 220, 24, 25, 410, 1097, 1389, 220, 18, 25, 410, 9012, 198, 75821, 4376, 1938, 505, 220, 24, 25, 410, 1097, 311, 38245, 374, 1101, 2561, 369, 400, 914, 198, 24253, 25, 2561, 3485, 13, 1472, 1253, 1005, 701, 85274, 479, 12718, 555, 18965, 27258, 8323, 520, 28363, 323, 21973, 704, 701, 8475, 34075, 21390, 7739, 323, 63025, 603, 1405, 311, 25637, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 22105, 279, 7829, 706, 28995, 264, 2766, 11, 719, 1203, 304, 279, 1938, 5127, 574, 44898, 449, 279, 4623, 430, 4967, 304, 36540, 1053, 9244, 701, 8271, 779, 499, 1053, 1120, 636, 10791, 304, 264, 1709, 484, 40253, 477, 432, 10153, 22571, 13, 2468, 9827, 3791, 11, 1274, 1051, 4737, 15300, 323, 259, 5757, 2785, 1120, 7060, 382, 51197, 4423, 1523, 323, 13696, 709, 4920, 1124, 374, 264, 810, 25462, 2361, 1109, 20948, 304, 872, 7771, 11, 779, 433, 596, 41902, 430, 259, 7897, 43456, 1139, 4423, 596, 7771, 636, 1403, 3585, 719, 259, 7897, 43456, 311, 872, 1203, 1541, 956, 5030, 7389, 499, 1935, 279, 1203, 323, 2231, 304, 1403, 30777, 477, 636, 264, 2547, 22217, 382, 791, 8830, 315, 1948, 2361, 27000, 304, 279, 20413, 374, 2860, 41902, 13, 358, 10894, 902, 9248, 1903, 433, 5423, 2867, 11, 719, 1070, 1051, 5361, 13422, 1405, 4423, 13524, 1047, 6606, 477, 3185, 2585, 719, 872, 15046, 574, 3025, 311, 636, 311, 872, 3185, 323, 2503, 1070, 369, 264, 1418, 11, 779, 19093, 2751, 3585, 1524, 3582, 4423, 3952, 279, 1023, 1732, 1523, 323, 5762, 1124, 304, 264, 3958, 2361, 369, 264, 1418, 13, 8442, 20413, 264, 3230, 743, 315, 10093, 3250, 956, 2187, 369, 810, 8915, 20414, 311, 26991, 505, 279, 1948, 382, 2028, 374, 1101, 27000, 304, 13454, 20413, 994, 4423, 11031, 505, 279, 6606, 477, 3185, 2585, 311, 22095, 389, 36517, 323, 1203, 1578, 11, 477, 9711, 832, 4579, 1203, 304, 4423, 596, 4376, 35915, 291, 7771, 323, 34145, 433, 704, 11, 477, 11031, 264, 2547, 22217, 505, 3185, 311, 3185, 13, 358, 1440, 430, 1694, 3025, 311, 9320, 505, 832, 25462, 2361, 311, 2500, 5097, 10151, 11, 719, 27723, 433, 1093, 433, 596, 13890, 311, 7366, 505, 459, 38279, 477, 21277, 2361, 311, 264, 25462, 2361, 3250, 956, 1304, 5647, 13, 1442, 814, 2567, 420, 36650, 11, 814, 1288, 9407, 279, 743, 315, 10093, 430, 5573, 13, 2435, 13434, 956, 2567, 433, 11, 3582, 13, 69676, 31245, 19285, 323, 26952, 1120, 3351, 872, 14535, 311, 2204, 19300, 311, 30759, 709, 3585, 4536, 956, 7185, 13, 2684, 1288, 520, 279, 1633, 3325, 387, 264, 44350, 389, 1268, 14134, 499, 649, 636, 3585, 369, 7366, 701, 7693, 1418, 389, 1948, 382, 2181, 4265, 387, 2731, 422, 814, 1120, 6688, 3585, 994, 4423, 4024, 505, 459, 38279, 477, 21277, 2361, 311, 264, 16757, 832, 11, 1524, 422, 872, 16757, 2361, 4536, 956, 56185, 13, 350, 78345, 311, 37189, 30, 21387, 13, 10175, 311, 6606, 719, 279, 15046, 10800, 311, 279, 3185, 323, 1457, 499, 617, 279, 3072, 315, 2133, 369, 6606, 477, 4737, 872, 1203, 30, 21387, 13, 14903, 701, 4579, 2212, 1418, 19994, 304, 264, 16757, 2361, 30, 2360, 3585, 382, 791, 20413, 1101, 3250, 956, 656, 4205, 311, 15253, 1274, 311, 1005, 3634, 13750, 11, 323, 67297, 527, 2646, 4832, 13, 1472, 9229, 279, 24151, 11, 33164, 11, 653, 13616, 9151, 11, 5099, 2637, 994, 499, 7738, 8996, 574, 12765, 304, 279, 6453, 1022, 279, 62156, 13, 1442, 814, 1095, 430, 3621, 11, 814, 13434, 956, 617, 23579, 16054, 8800, 14509, 304, 279, 6453, 13, 3639, 814, 2216, 1205, 11, 3582, 11, 374, 311, 15253, 1274, 311, 12960, 3201, 422, 814, 649, 956, 3577, 4741, 13, 362, 1486, 369, 17919, 4423, 704, 315, 14597, 11, 1093, 304, 1690, 1023, 7739, 315, 90834, 11, 1053, 48863, 7417, 279, 18338, 13, 358, 1440, 1274, 690, 11196, 922, 13353, 1475, 2489, 1139, 2694, 78, 11, 719, 42093, 259, 7897, 43456, 311, 904, 25462, 477, 21277, 2361, 320, 16564, 994, 279, 15046, 72503, 8, 690, 5663, 533, 430, 13, 1442, 814, 1541, 956, 656, 430, 11, 814, 1436, 520, 3325, 1935, 9364, 315, 279, 2361, 1603, 264, 7738, 779, 814, 649, 7738, 433, 810, 30357, 320, 8248, 814, 2103, 2834, 956, 387, 3025, 311, 53875, 279, 30295, 7041, 570, 128001, 128000, 33, 3228, 82, 25, 52450, 336, 1122, 9168, 220, 23, 9653, 1404, 323, 4251, 1933, 449, 10054, 2515, 13, 17375, 25489, 52450, 336, 1122, 9168, 304, 220, 23, 9653, 1404, 323, 6437, 1933, 449, 47892, 426, 461, 35965, 2515, 13, 83982, 2563, 785, 15356, 5770, 9168, 304, 220, 605, 9653, 1404, 323, 78184, 6437, 1933, 54344, 23937, 76104, 97422, 25, 362, 5016, 59831, 12514, 311, 10455, 11, 26449, 520, 279, 4579, 315, 279, 11511, 13, 578, 26861, 85927, 315, 326, 7751, 7891, 4861, 279, 53500, 315, 279, 2417, 12214, 6468, 1221, 1010, 13, 5955, 23164, 25, 1556, 14079, 24855, 556, 41076, 2955, 13, 763, 279, 6211, 315, 264, 74343, 8649, 5150, 6959, 9522, 33, 3228, 82, 25, 52450, 336, 1122, 9168, 3547, 25489, 55308, 304, 220, 21, 9653, 1404, 323, 85364, 6437, 323, 18300, 8146, 13, 3161, 4848, 30200, 5751, 20941, 9501, 55308, 304, 44461, 15310, 1933, 449, 449, 22996, 2515, 76104, 97422, 25, 65925, 555, 279, 44468, 21765, 25, 330, 40, 1097, 279, 30050, 11, 499, 527, 279, 23962, 1210, 320, 41, 77, 220, 868, 25, 20, 570, 1556, 40545, 349, 52252, 30050, 24306, 315, 7701, 11944, 52252, 28066, 323, 11141, 11, 304, 279, 6211, 315, 264, 3254, 5425, 5955, 23164, 25, 362, 6366, 13340, 315, 279, 29743, 291, 11463, 2417, 12214, 6468, 23712, 555, 68543, 315, 81470, 323, 9522, 46240, 2417, 12214, 6468, 18449, 690, 387, 701, 14850, 323, 279, 1648, 430, 690, 3063, 499, 311, 4359, 1210, 330, 644, 279, 842, 11, 856, 2417, 12214, 6468, 18449, 690, 38586, 5221, 2423, 4339, 315, 5751, 21270, 14948, 420, 502, 27282, 661, 11, 12514, 311, 279, 220, 1041, 339, 22310, 315, 279, 26417, 7675, 34388, 6055, 95113, 21270, 315, 26417, 7675, 220, 1041, 339, 38517, 8812, 77506, 39610, 8812, 4113, 11, 11944, 323, 14079, 2955, 555, 24855, 556, 41076, 2028, 9615, 832, 8838, 7561, 60806, 16870, 3370, 6209, 57192, 3649, 311, 16044, 279, 4545, 788, 1567, 430, 7077, 304, 34411, 264, 9478, 4227, 75145, 76104, 97422, 25, 32971, 555, 279, 330, 36154, 1, 482, 279, 1648, 11, 477, 9522, 33, 3228, 82, 25, 52450, 336, 1122, 9168, 55308, 304, 220, 22, 9653, 1404, 323, 5370, 8146, 449, 264, 85364, 2515, 13, 82909, 55308, 2997, 3547, 25489, 52450, 336, 5038, 9168, 55308, 304, 220, 22, 9653, 1404, 323, 6453, 6437, 1933, 76104, 97422, 25, 578, 32353, 315, 279, 4821, 61652, 1742, 33398, 555, 24855, 556, 41076, 26897, 304, 264, 76104, 97422, 449, 459, 96207, 481, 3752, 449, 264, 6366, 61118, 18449, 520, 1202, 4219, 5955, 23164, 25, 1115, 91853, 374, 3549, 555, 24855, 556, 41076, 24121, 369, 279, 75333, 323, 67070, 3074, 315, 64894, 11, 14990, 11, 499, 690, 1505, 264, 37513, 323, 11944, 9522, 20, 9653, 4027, 55096, 3384, 52450, 336, 1122, 9168, 55308, 11, 449, 47892, 426, 461, 35965, 6381, 26, 16528, 304, 25, 3383, 88403, 11, 29016, 11, 83099, 11131, 76105, 53443, 88233, 6381, 449, 24855, 556, 41076, 6883, 12235, 26, 5955, 23164, 304, 47691, 15310, 88233, 6381, 16850, 10455, 5634, 944, 750, 56501, 10811, 2949, 459, 32692, 4124, 26, 4821, 61652, 1742, 15131, 97422, 482, 47691, 15310, 88233, 6381, 13, 128001, 128000, 2520, 19987, 11, 21120, 28554, 527, 1093, 38809, 753, 597, 54636, 635, 13, 7648, 11919, 282, 11243, 649, 1431, 1520, 719, 33586, 279, 24310, 315, 2579, 477, 6307, 3177, 2212, 279, 6558, 11, 912, 5030, 872, 4325, 477, 14595, 77004, 311, 1514, 13, 8595, 656, 19987, 2873, 44898, 449, 21120, 28554, 30, 8595, 656, 1521, 2678, 32094, 315, 3177, 430, 814, 649, 1431, 1524, 5916, 2873, 2731, 1109, 904, 22068, 8814, 477, 50876, 291, 29810, 5380, 2028, 4652, 5992, 520, 279, 8198, 4920, 264, 8415, 753, 1205, 311, 33586, 264, 24310, 315, 3177, 627, 32, 17810, 389, 279, 27690, 198, 10445, 527, 19987, 22571, 43131, 311, 1833, 264, 21120, 7597, 5380, 34, 1900, 527, 88170, 10099, 11, 323, 814, 527, 1903, 311, 387, 1948, 78611, 49073, 13, 11205, 31655, 374, 311, 33586, 4205, 430, 11031, 6288, 2212, 1124, 11, 2533, 2555, 304, 872, 35202, 10975, 1124, 430, 420, 374, 37693, 627, 8538, 12074, 4510, 430, 1455, 13018, 660, 19987, 1541, 1431, 2216, 3619, 1148, 37693, 3445, 13, 3011, 374, 3249, 814, 1505, 5694, 43931, 264, 3177, 4619, 315, 2555, 430, 814, 649, 8343, 627, 11663, 14248, 4510, 430, 19987, 527, 47578, 1109, 430, 11, 323, 814, 1440, 430, 279, 21120, 4536, 1431, 264, 8814, 477, 2555, 4528, 13, 12361, 11, 872, 88170, 62921, 527, 1120, 779, 304, 26306, 11, 814, 636, 22900, 1524, 555, 264, 1167, 5772, 6558, 3177, 627, 32, 8415, 753, 88170, 31655, 374, 311, 33586, 4205, 430, 11031, 6288, 13, 1102, 374, 81336, 2692, 1139, 872, 1633, 62690, 13, 4783, 19987, 527, 539, 3117, 3201, 505, 872, 8545, 49446, 11, 279, 11904, 323, 7665, 13944, 51849, 11, 323, 279, 23330, 31655, 374, 2103, 3831, 627, 2028, 88170, 6678, 374, 1101, 279, 2944, 430, 701, 16166, 8415, 690, 7170, 5387, 499, 1054, 79, 9773, 863, 315, 2678, 11, 4376, 5773, 13827, 94209, 389, 279, 42190, 13, 2435, 527, 1093, 33935, 311, 279, 2010, 315, 872, 3854, 627, 34, 1900, 529, 43096, 25, 40708, 40361, 198, 2127, 8071, 706, 3892, 31301, 5596, 11, 2737, 279, 84827, 13, 578, 84827, 374, 520, 279, 1203, 315, 279, 8071, 323, 4375, 311, 5625, 3177, 4907, 1139, 32015, 87633, 430, 636, 3288, 311, 279, 8271, 13, 578, 8271, 48018, 1521, 311, 5448, 315, 279, 1917, 2212, 603, 627, 791, 84827, 374, 1903, 709, 315, 1403, 4595, 315, 2160, 992, 7917, 25, 279, 58000, 323, 279, 87992, 13, 11995, 19987, 323, 12966, 617, 1521, 7917, 13, 4452, 11, 12966, 617, 810, 87992, 323, 19987, 617, 810, 58000, 627, 791, 734, 315, 1855, 315, 1521, 7917, 374, 1148, 3727, 8415, 323, 3823, 6548, 734, 779, 22009, 13, 362, 7353, 7419, 315, 1148, 87992, 656, 304, 279, 8071, 5764, 9298, 1933, 323, 7872, 13, 13611, 82, 2187, 499, 311, 1518, 304, 3221, 22592, 4787, 323, 7858, 7351, 627, 12834, 19987, 617, 810, 58000, 11, 814, 527, 5423, 1695, 520, 9298, 19567, 430, 3621, 6288, 13, 1102, 4536, 1431, 1120, 279, 33766, 288, 315, 264, 52835, 430, 1520, 1124, 25555, 520, 34168, 5043, 86572, 6302, 13, 4314, 5066, 58000, 1101, 1304, 433, 8831, 369, 279, 8415, 311, 1518, 304, 3428, 18179, 4787, 627, 4897, 6811, 374, 1101, 3249, 584, 617, 12544, 9298, 304, 279, 6453, 11, 719, 584, 649, 1518, 779, 1690, 810, 8146, 323, 3649, 1109, 10099, 11, 1093, 19987, 627, 47916, 279, 1162, 11, 499, 1288, 2646, 1486, 264, 21120, 6089, 1139, 459, 8071, 13, 13440, 430, 8071, 17623, 311, 459, 10065, 477, 264, 3823, 11, 912, 3392, 315, 87992, 477, 58000, 649, 6144, 279, 84827, 505, 279, 11000, 93294, 5674, 430, 72475, 649, 83675, 389, 1124, 627, 2746, 499, 617, 2646, 6818, 1701, 264, 21120, 7597, 311, 1514, 449, 701, 80921, 1603, 11, 3041, 433, 264, 1456, 13, 2057, 636, 1124, 53184, 311, 433, 11, 1212, 7366, 433, 2212, 14297, 323, 304, 8196, 7634, 13, 1472, 649, 1524, 1456, 4967, 1124, 311, 1514, 279, 1847, 11, 85151, 704, 32839, 1405, 279, 21120, 7597, 374, 520, 779, 814, 617, 2555, 311, 1054, 7320, 863, 439, 814, 1514, 627, 12, 3639, 3234, 51849, 9086, 2057, 7199, 3161, 30, 362, 13002, 311, 17810, 49481, 198, 12, 220, 23, 7252, 40708, 5236, 388, 369, 51849, 304, 220, 2366, 16, 612, 19832, 612, 7054, 66290, 198, 12, 2650, 311, 2175, 264, 17810, 4470, 315, 264, 9119, 25, 220, 21, 51612, 19331, 198, 53043, 4758, 16666, 25, 54300, 402, 3753, 19, 11, 85142, 128001 ]
[ -100, 22105, 279, 7829, 706, 28995, 264, 2766, 11, 719, 1203, 304, 279, 1938, 5127, 574, 44898, 449, 279, 4623, 430, 4967, 304, 36540, 1053, 9244, 701, 8271, 779, 499, 1053, 1120, 636, 10791, 304, 264, 1709, 484, 40253, 477, 432, 10153, 22571, 13, 2468, 9827, 3791, 11, 1274, 1051, 4737, 15300, 323, 259, 5757, 2785, 1120, 7060, 382, 51197, 4423, 1523, 323, 13696, 709, 4920, 1124, 374, 264, 810, 25462, 2361, 1109, 20948, 304, 872, 7771, 11, 779, 433, 596, 41902, 430, 259, 7897, 43456, 1139, 4423, 596, 7771, 636, 1403, 3585, 719, 259, 7897, 43456, 311, 872, 1203, 1541, 956, 5030, 7389, 499, 1935, 279, 1203, 323, 2231, 304, 1403, 30777, 477, 636, 264, 2547, 22217, 382, 791, 8830, 315, 1948, 2361, 27000, 304, 279, 20413, 374, 2860, 41902, 13, 358, 10894, 902, 9248, 1903, 433, 5423, 2867, 11, 719, 1070, 1051, 5361, 13422, 1405, 4423, 13524, 1047, 6606, 477, 3185, 2585, 719, 872, 15046, 574, 3025, 311, 636, 311, 872, 3185, 323, 2503, 1070, 369, 264, 1418, 11, 779, 19093, 2751, 3585, 1524, 3582, 4423, 3952, 279, 1023, 1732, 1523, 323, 5762, 1124, 304, 264, 3958, 2361, 369, 264, 1418, 13, 8442, 20413, 264, 3230, 743, 315, 10093, 3250, 956, 2187, 369, 810, 8915, 20414, 311, 26991, 505, 279, 1948, 382, 2028, 374, 1101, 27000, 304, 13454, 20413, 994, 4423, 11031, 505, 279, 6606, 477, 3185, 2585, 311, 22095, 389, 36517, 323, 1203, 1578, 11, 477, 9711, 832, 4579, 1203, 304, 4423, 596, 4376, 35915, 291, 7771, 323, 34145, 433, 704, 11, 477, 11031, 264, 2547, 22217, 505, 3185, 311, 3185, 13, 358, 1440, 430, 1694, 3025, 311, 9320, 505, 832, 25462, 2361, 311, 2500, 5097, 10151, 11, 719, 27723, 433, 1093, 433, 596, 13890, 311, 7366, 505, 459, 38279, 477, 21277, 2361, 311, 264, 25462, 2361, 3250, 956, 1304, 5647, 13, 1442, 814, 2567, 420, 36650, 11, 814, 1288, 9407, 279, 743, 315, 10093, 430, 5573, 13, 2435, 13434, 956, 2567, 433, 11, 3582, 13, 69676, 31245, 19285, 323, 26952, 1120, 3351, 872, 14535, 311, 2204, 19300, 311, 30759, 709, 3585, 4536, 956, 7185, 13, 2684, 1288, 520, 279, 1633, 3325, 387, 264, 44350, 389, 1268, 14134, 499, 649, 636, 3585, 369, 7366, 701, 7693, 1418, 389, 1948, 382, 2181, 4265, 387, 2731, 422, 814, 1120, 6688, 3585, 994, 4423, 4024, 505, 459, 38279, 477, 21277, 2361, 311, 264, 16757, 832, 11, 1524, 422, 872, 16757, 2361, 4536, 956, 56185, 13, 350, 78345, 311, 37189, 30, 21387, 13, 10175, 311, 6606, 719, 279, 15046, 10800, 311, 279, 3185, 323, 1457, 499, 617, 279, 3072, 315, 2133, 369, 6606, 477, 4737, 872, 1203, 30, 21387, 13, 14903, 701, 4579, 2212, 1418, 19994, 304, 264, 16757, 2361, 30, 2360, 3585, 382, 791, 20413, 1101, 3250, 956, 656, 4205, 311, 15253, 1274, 311, 1005, 3634, 13750, 11, 323, 67297, 527, 2646, 4832, 13, 1472, 9229, 279, 24151, 11, 33164, 11, 653, 13616, 9151, 11, 5099, 2637, 994, 499, 7738, 8996, 574, 12765, 304, 279, 6453, 1022, 279, 62156, 13, 1442, 814, 1095, 430, 3621, 11, 814, 13434, 956, 617, 23579, 16054, 8800, 14509, 304, 279, 6453, 13, 3639, 814, 2216, 1205, 11, 3582, 11, 374, 311, 15253, 1274, 311, 12960, 3201, 422, 814, 649, 956, 3577, 4741, 13, 362, 1486, 369, 17919, 4423, 704, 315, 14597, 11, 1093, 304, 1690, 1023, 7739, 315, 90834, 11, 1053, 48863, 7417, 279, 18338, 13, 358, 1440, 1274, 690, 11196, 922, 13353, 1475, 2489, 1139, 2694, 78, 11, 719, 42093, 259, 7897, 43456, 311, 904, 25462, 477, 21277, 2361, 320, 16564, 994, 279, 15046, 72503, 8, 690, 5663, 533, 430, 13, 1442, 814, 1541, 956, 656, 430, 11, 814, 1436, 520, 3325, 1935, 9364, 315, 279, 2361, 1603, 264, 7738, 779, 814, 649, 7738, 433, 810, 30357, 320, 8248, 814, 2103, 2834, 956, 387, 3025, 311, 53875, 279, 30295, 7041, 570, 128001, -100, 33, 3228, 82, 25, 52450, 336, 1122, 9168, 220, 23, 9653, 1404, 323, 4251, 1933, 449, 10054, 2515, 13, 17375, 25489, 52450, 336, 1122, 9168, 304, 220, 23, 9653, 1404, 323, 6437, 1933, 449, 47892, 426, 461, 35965, 2515, 13, 83982, 2563, 785, 15356, 5770, 9168, 304, 220, 605, 9653, 1404, 323, 78184, 6437, 1933, 54344, 23937, 76104, 97422, 25, 362, 5016, 59831, 12514, 311, 10455, 11, 26449, 520, 279, 4579, 315, 279, 11511, 13, 578, 26861, 85927, 315, 326, 7751, 7891, 4861, 279, 53500, 315, 279, 2417, 12214, 6468, 1221, 1010, 13, 5955, 23164, 25, 1556, 14079, 24855, 556, 41076, 2955, 13, 763, 279, 6211, 315, 264, 74343, 8649, 5150, 6959, 9522, 33, 3228, 82, 25, 52450, 336, 1122, 9168, 3547, 25489, 55308, 304, 220, 21, 9653, 1404, 323, 85364, 6437, 323, 18300, 8146, 13, 3161, 4848, 30200, 5751, 20941, 9501, 55308, 304, 44461, 15310, 1933, 449, 449, 22996, 2515, 76104, 97422, 25, 65925, 555, 279, 44468, 21765, 25, 330, 40, 1097, 279, 30050, 11, 499, 527, 279, 23962, 1210, 320, 41, 77, 220, 868, 25, 20, 570, 1556, 40545, 349, 52252, 30050, 24306, 315, 7701, 11944, 52252, 28066, 323, 11141, 11, 304, 279, 6211, 315, 264, 3254, 5425, 5955, 23164, 25, 362, 6366, 13340, 315, 279, 29743, 291, 11463, 2417, 12214, 6468, 23712, 555, 68543, 315, 81470, 323, 9522, 46240, 2417, 12214, 6468, 18449, 690, 387, 701, 14850, 323, 279, 1648, 430, 690, 3063, 499, 311, 4359, 1210, 330, 644, 279, 842, 11, 856, 2417, 12214, 6468, 18449, 690, 38586, 5221, 2423, 4339, 315, 5751, 21270, 14948, 420, 502, 27282, 661, 11, 12514, 311, 279, 220, 1041, 339, 22310, 315, 279, 26417, 7675, 34388, 6055, 95113, 21270, 315, 26417, 7675, 220, 1041, 339, 38517, 8812, 77506, 39610, 8812, 4113, 11, 11944, 323, 14079, 2955, 555, 24855, 556, 41076, 2028, 9615, 832, 8838, 7561, 60806, 16870, 3370, 6209, 57192, 3649, 311, 16044, 279, 4545, 788, 1567, 430, 7077, 304, 34411, 264, 9478, 4227, 75145, 76104, 97422, 25, 32971, 555, 279, 330, 36154, 1, 482, 279, 1648, 11, 477, 9522, 33, 3228, 82, 25, 52450, 336, 1122, 9168, 55308, 304, 220, 22, 9653, 1404, 323, 5370, 8146, 449, 264, 85364, 2515, 13, 82909, 55308, 2997, 3547, 25489, 52450, 336, 5038, 9168, 55308, 304, 220, 22, 9653, 1404, 323, 6453, 6437, 1933, 76104, 97422, 25, 578, 32353, 315, 279, 4821, 61652, 1742, 33398, 555, 24855, 556, 41076, 26897, 304, 264, 76104, 97422, 449, 459, 96207, 481, 3752, 449, 264, 6366, 61118, 18449, 520, 1202, 4219, 5955, 23164, 25, 1115, 91853, 374, 3549, 555, 24855, 556, 41076, 24121, 369, 279, 75333, 323, 67070, 3074, 315, 64894, 11, 14990, 11, 499, 690, 1505, 264, 37513, 323, 11944, 9522, 20, 9653, 4027, 55096, 3384, 52450, 336, 1122, 9168, 55308, 11, 449, 47892, 426, 461, 35965, 6381, 26, 16528, 304, 25, 3383, 88403, 11, 29016, 11, 83099, 11131, 76105, 53443, 88233, 6381, 449, 24855, 556, 41076, 6883, 12235, 26, 5955, 23164, 304, 47691, 15310, 88233, 6381, 16850, 10455, 5634, 944, 750, 56501, 10811, 2949, 459, 32692, 4124, 26, 4821, 61652, 1742, 15131, 97422, 482, 47691, 15310, 88233, 6381, 13, 128001, -100, 2520, 19987, 11, 21120, 28554, 527, 1093, 38809, 753, 597, 54636, 635, 13, 7648, 11919, 282, 11243, 649, 1431, 1520, 719, 33586, 279, 24310, 315, 2579, 477, 6307, 3177, 2212, 279, 6558, 11, 912, 5030, 872, 4325, 477, 14595, 77004, 311, 1514, 13, 8595, 656, 19987, 2873, 44898, 449, 21120, 28554, 30, 8595, 656, 1521, 2678, 32094, 315, 3177, 430, 814, 649, 1431, 1524, 5916, 2873, 2731, 1109, 904, 22068, 8814, 477, 50876, 291, 29810, 5380, 2028, 4652, 5992, 520, 279, 8198, 4920, 264, 8415, 753, 1205, 311, 33586, 264, 24310, 315, 3177, 627, 32, 17810, 389, 279, 27690, 198, 10445, 527, 19987, 22571, 43131, 311, 1833, 264, 21120, 7597, 5380, 34, 1900, 527, 88170, 10099, 11, 323, 814, 527, 1903, 311, 387, 1948, 78611, 49073, 13, 11205, 31655, 374, 311, 33586, 4205, 430, 11031, 6288, 2212, 1124, 11, 2533, 2555, 304, 872, 35202, 10975, 1124, 430, 420, 374, 37693, 627, 8538, 12074, 4510, 430, 1455, 13018, 660, 19987, 1541, 1431, 2216, 3619, 1148, 37693, 3445, 13, 3011, 374, 3249, 814, 1505, 5694, 43931, 264, 3177, 4619, 315, 2555, 430, 814, 649, 8343, 627, 11663, 14248, 4510, 430, 19987, 527, 47578, 1109, 430, 11, 323, 814, 1440, 430, 279, 21120, 4536, 1431, 264, 8814, 477, 2555, 4528, 13, 12361, 11, 872, 88170, 62921, 527, 1120, 779, 304, 26306, 11, 814, 636, 22900, 1524, 555, 264, 1167, 5772, 6558, 3177, 627, 32, 8415, 753, 88170, 31655, 374, 311, 33586, 4205, 430, 11031, 6288, 13, 1102, 374, 81336, 2692, 1139, 872, 1633, 62690, 13, 4783, 19987, 527, 539, 3117, 3201, 505, 872, 8545, 49446, 11, 279, 11904, 323, 7665, 13944, 51849, 11, 323, 279, 23330, 31655, 374, 2103, 3831, 627, 2028, 88170, 6678, 374, 1101, 279, 2944, 430, 701, 16166, 8415, 690, 7170, 5387, 499, 1054, 79, 9773, 863, 315, 2678, 11, 4376, 5773, 13827, 94209, 389, 279, 42190, 13, 2435, 527, 1093, 33935, 311, 279, 2010, 315, 872, 3854, 627, 34, 1900, 529, 43096, 25, 40708, 40361, 198, 2127, 8071, 706, 3892, 31301, 5596, 11, 2737, 279, 84827, 13, 578, 84827, 374, 520, 279, 1203, 315, 279, 8071, 323, 4375, 311, 5625, 3177, 4907, 1139, 32015, 87633, 430, 636, 3288, 311, 279, 8271, 13, 578, 8271, 48018, 1521, 311, 5448, 315, 279, 1917, 2212, 603, 627, 791, 84827, 374, 1903, 709, 315, 1403, 4595, 315, 2160, 992, 7917, 25, 279, 58000, 323, 279, 87992, 13, 11995, 19987, 323, 12966, 617, 1521, 7917, 13, 4452, 11, 12966, 617, 810, 87992, 323, 19987, 617, 810, 58000, 627, 791, 734, 315, 1855, 315, 1521, 7917, 374, 1148, 3727, 8415, 323, 3823, 6548, 734, 779, 22009, 13, 362, 7353, 7419, 315, 1148, 87992, 656, 304, 279, 8071, 5764, 9298, 1933, 323, 7872, 13, 13611, 82, 2187, 499, 311, 1518, 304, 3221, 22592, 4787, 323, 7858, 7351, 627, 12834, 19987, 617, 810, 58000, 11, 814, 527, 5423, 1695, 520, 9298, 19567, 430, 3621, 6288, 13, 1102, 4536, 1431, 1120, 279, 33766, 288, 315, 264, 52835, 430, 1520, 1124, 25555, 520, 34168, 5043, 86572, 6302, 13, 4314, 5066, 58000, 1101, 1304, 433, 8831, 369, 279, 8415, 311, 1518, 304, 3428, 18179, 4787, 627, 4897, 6811, 374, 1101, 3249, 584, 617, 12544, 9298, 304, 279, 6453, 11, 719, 584, 649, 1518, 779, 1690, 810, 8146, 323, 3649, 1109, 10099, 11, 1093, 19987, 627, 47916, 279, 1162, 11, 499, 1288, 2646, 1486, 264, 21120, 6089, 1139, 459, 8071, 13, 13440, 430, 8071, 17623, 311, 459, 10065, 477, 264, 3823, 11, 912, 3392, 315, 87992, 477, 58000, 649, 6144, 279, 84827, 505, 279, 11000, 93294, 5674, 430, 72475, 649, 83675, 389, 1124, 627, 2746, 499, 617, 2646, 6818, 1701, 264, 21120, 7597, 311, 1514, 449, 701, 80921, 1603, 11, 3041, 433, 264, 1456, 13, 2057, 636, 1124, 53184, 311, 433, 11, 1212, 7366, 433, 2212, 14297, 323, 304, 8196, 7634, 13, 1472, 649, 1524, 1456, 4967, 1124, 311, 1514, 279, 1847, 11, 85151, 704, 32839, 1405, 279, 21120, 7597, 374, 520, 779, 814, 617, 2555, 311, 1054, 7320, 863, 439, 814, 1514, 627, 12, 3639, 3234, 51849, 9086, 2057, 7199, 3161, 30, 362, 13002, 311, 17810, 49481, 198, 12, 220, 23, 7252, 40708, 5236, 388, 369, 51849, 304, 220, 2366, 16, 612, 19832, 612, 7054, 66290, 198, 12, 2650, 311, 2175, 264, 17810, 4470, 315, 264, 9119, 25, 220, 21, 51612, 19331, 198, 53043, 4758, 16666, 25, 54300, 402, 3753, 19, 11, 85142, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 791, 6437, 39368, 11, 97047, 1933, 315, 80770, 355, 323, 279, 6437, 11, 1280, 7992, 1933, 315, 80724, 2586, 505, 61083, 304, 872, 30614, 13, 4696, 27140, 50789, 323, 50253, 11, 1070, 374, 912, 14812, 46258, 35784, 4871, 80770, 355, 323, 80724, 11, 719, 814, 2225, 6782, 5655, 14036, 65733, 315, 31206, 35784, 627, 10445, 656, 80770, 355, 323, 80724, 5101, 6437, 304, 1933, 28223, 1169, 5380, 70869, 25, 578, 18528, 315, 279, 8582, 13931, 315, 30614, 6835, 279, 33975, 872, 8146, 13, 57175, 2194, 6962, 91111, 2579, 3177, 11, 323, 61083, 30614, 8881, 6437, 3177, 11, 7231, 80770, 355, 323, 80724, 872, 35947, 6437, 8146, 627, 10445, 1587, 80724, 617, 264, 1529, 51220, 1933, 5380, 791, 96531, 6437, 1933, 315, 279, 11841, 374, 264, 1121, 315, 279, 44225, 315, 2579, 323, 59141, 3177, 555, 80724, 753, 61083, 16975, 13, 4696, 80724, 753, 8147, 3312, 39036, 17004, 2345, 2940, 29592, 12523, 520, 7154, 220, 7467, 35061, 55434, 31288, 389, 279, 6453, 6437, 19671, 1120, 10007, 315, 80724, 753, 3312, 859, 627, 10445, 656, 80770, 355, 323, 80724, 5101, 6437, 477, 6437, 39368, 28223, 1169, 5380, 10445, 656, 80770, 355, 323, 80724, 5101, 1529, 51220, 304, 1933, 30, 2435, 2225, 6824, 315, 35784, 11, 97607, 11, 323, 61083, 13, 578, 6437, 1933, 3135, 505, 279, 61083, 627, 3923, 1587, 279, 1933, 315, 80770, 355, 323, 80724, 3371, 499, 922, 872, 18528, 5380, 21279, 80770, 355, 323, 80724, 617, 264, 6437, 6307, 49104, 994, 13468, 1555, 264, 56925, 13, 3639, 1587, 430, 3371, 499, 922, 872, 18528, 30, 3562, 3135, 505, 279, 61083, 304, 872, 14036, 65733, 13, 763, 5369, 311, 70275, 59141, 3177, 11, 61083, 1101, 91111, 2579, 3177, 627, 10445, 527, 80770, 355, 323, 80724, 2204, 8146, 5380, 52, 6713, 355, 374, 264, 6962, 11841, 902, 706, 264, 2763, 315, 61083, 6962, 9709, 304, 449, 1202, 14918, 35784, 323, 97607, 16975, 13, 1115, 61083, 6962, 6835, 80770, 355, 264, 6307, 819, 6437, 1933, 80724, 1101, 706, 1063, 61083, 6962, 304, 1202, 14918, 35784, 323, 97607, 16975, 11, 7231, 433, 264, 1529, 51220, 1933, 627, 3923, 3727, 80770, 355, 6437, 5380, 52, 6713, 355, 5334, 1202, 6437, 39368, 1933, 505, 61083, 6962, 304, 279, 16975, 13, 8219, 4238, 16609, 1555, 279, 16975, 323, 374, 27000, 1203, 704, 555, 80770, 355, 529, 9624, 33522, 13, 57175, 2194, 6962, 91111, 279, 2579, 13651, 315, 279, 3177, 11, 13239, 304, 264, 6437, 39368, 1933, 627, 10445, 1587, 80724, 5101, 6437, 323, 50789, 2579, 5380, 10445, 1587, 80724, 5101, 6437, 323, 50789, 2579, 30, 57175, 2194, 304, 80724, 753, 16975, 91111, 2579, 3177, 13, 8595, 374, 50789, 39950, 261, 1109, 50253, 30, 11699, 5190, 3148, 323, 24128, 25633, 1202, 15135, 627, 10445, 80770, 355, 323, 80724, 656, 539, 6782, 14812, 46258, 35784, 5380, 9673, 1403, 33975, 656, 539, 617, 3403, 35784, 11, 477, 14343, 3148, 323, 5419, 7410, 11, 311, 37663, 279, 35784, 1139, 264, 46258, 1614, 13, 2100, 1070, 374, 912, 5419, 12811, 315, 14812, 46258, 35784, 4871, 80770, 355, 323, 80724, 627, 3923, 374, 279, 6371, 315, 279, 25562, 315, 80770, 355, 5380, 791, 80770, 1122, 10264, 1887, 4762, 44853, 505, 279, 19277, 278, 88452, 315, 3892, 81260, 430, 3131, 25281, 2212, 279, 11841, 13, 4740, 4631, 6714, 11, 279, 81260, 4762, 14760, 709, 1139, 1690, 19252, 11, 902, 26968, 439, 15376, 323, 3469, 2740, 29050, 25562, 1193, 304, 26549, 45408, 26467, 315, 7340, 20334, 627, 3923, 5224, 922, 6565, 374, 837, 5380, 23956, 5224, 922, 30755, 374, 837, 30, 1102, 374, 279, 1455, 36373, 2740, 4642, 2547, 304, 1057, 13238, 1887, 13, 16299, 315, 279, 2768, 81260, 374, 6646, 4461, 311, 617, 264, 5655, 11, 5258, 10730, 18435, 315, 14812, 3090, 30, 16299, 5224, 922, 62938, 25562, 374, 539, 837, 5380, 3923, 374, 279, 1925, 2944, 430, 80770, 355, 323, 80724, 5101, 264, 1529, 51220, 1933, 1418, 50789, 323, 50253, 656, 539, 5380, 32, 13, 578, 9624, 33522, 315, 50789, 323, 50253, 617, 264, 2204, 18528, 505, 279, 9624, 33522, 315, 80770, 355, 323, 80724, 13, 57175, 2194, 6962, 91111, 2579, 3177, 11, 323, 61083, 30614, 8881, 6437, 3177, 11, 7231, 80770, 355, 323, 80724, 872, 35947, 6437, 8146, 627, 10445, 1587, 80770, 355, 1427, 6437, 39368, 5380, 791, 6437, 39368, 1933, 3135, 505, 279, 44225, 315, 2579, 3177, 555, 61083, 6962, 304, 80770, 355, 529, 5655, 11, 9439, 323, 49723, 2867, 16975, 13, 4696, 763, 2144, 11, 279, 48694, 374, 6453, 323, 14113, 304, 1933, 2212, 279, 11841, 627, 10445, 656, 80770, 355, 323, 80724, 617, 6437, 61083, 30614, 5380, 10445, 656, 80770, 355, 323, 80724, 617, 6437, 61083, 30614, 719, 50789, 323, 50253, 656, 539, 30, 362, 12, 578, 12309, 6435, 12984, 315, 80770, 355, 323, 80724, 6276, 61083, 311, 45666, 311, 5190, 5990, 304, 279, 16975, 323, 9955, 1137, 1139, 30614, 13, 128001, 128000, 2520, 264, 220, 16, 11, 433, 2011, 617, 912, 49878, 287, 29600, 520, 682, 13, 6295, 7365, 374, 856, 15821, 22359, 23655, 439, 264, 364, 17, 6, 323, 279, 1193, 2944, 3249, 433, 4536, 956, 264, 220, 16, 374, 1606, 315, 279, 1176, 9417, 1047, 1063, 4754, 323, 358, 15262, 279, 3752, 2955, 315, 510, 49, 258, 9725, 1277, 1129, 74, 72054, 42179, 916, 14, 679, 21, 14, 2589, 92036, 24747, 92036, 24747, 3880, 258, 12934, 21904, 2192, 12, 942, 88, 6695, 75199, 8437, 86111, 19716, 12, 13104, 87, 4386, 15, 35765, 14441, 72054, 42179, 916, 70323, 12, 4531, 11151, 258, 16222, 21904, 2192, 13, 14033, 87, 16415, 4924, 30, 943, 2190, 28, 14033, 87, 16415, 28165, 26, 307, 28, 10148, 2421, 8, 323, 1364, 31256, 757, 315, 816, 16711, 505, 14603, 2192, 70207, 11, 889, 574, 779, 1790, 2523, 311, 3821, 13, 358, 3358, 4762, 3041, 264, 220, 16, 994, 358, 3821, 2555, 1093, 21725, 315, 80847, 320, 8370, 358, 617, 912, 14944, 315, 10307, 50655, 2746, 220, 605, 374, 279, 38391, 11, 1243, 220, 24, 13, 1102, 596, 2288, 1790, 369, 757, 422, 433, 596, 3485, 220, 508, 32037, 323, 1314, 1457, 433, 596, 220, 1187, 32037, 108681, 41974, 1070, 690, 387, 264, 8798, 31498, 420, 2046, 323, 358, 2846, 353, 1962, 9, 3411, 4741, 311, 433, 4286, 5159, 7075, 25977, 87202, 3752, 374, 510, 20190, 73, 49404, 1494, 5169, 16261, 37135, 612, 4937, 26, 18, 9725, 1277, 1129, 2185, 53153, 540, 266, 2850, 57432, 916, 14, 17, 303, 17217, 28455, 11628, 9579, 14, 24194, 44978, 14, 679, 13384, 20945, 21975, 21848, 26513, 5037, 17, 6458, 3443, 8, 358, 3021, 4395, 922, 1077, 323, 41896, 2850, 328, 17, 690, 10737, 1077, 15952, 779, 358, 2846, 2216, 12304, 369, 279, 19367, 3280, 0, 15073, 3112, 9523, 11, 358, 1093, 3515, 2204, 37199, 315, 832, 12745, 779, 433, 3250, 956, 5101, 81846, 15716, 358, 1427, 520, 856, 5643, 27046, 1442, 499, 3596, 636, 89139, 1862, 499, 1288, 1005, 420, 12745, 6642, 11, 433, 4265, 387, 7185, 311, 1518, 1023, 12745, 37199, 27046, 128001 ]
[ -100, 791, 6437, 39368, 11, 97047, 1933, 315, 80770, 355, 323, 279, 6437, 11, 1280, 7992, 1933, 315, 80724, 2586, 505, 61083, 304, 872, 30614, 13, 4696, 27140, 50789, 323, 50253, 11, 1070, 374, 912, 14812, 46258, 35784, 4871, 80770, 355, 323, 80724, 11, 719, 814, 2225, 6782, 5655, 14036, 65733, 315, 31206, 35784, 627, 10445, 656, 80770, 355, 323, 80724, 5101, 6437, 304, 1933, 28223, 1169, 5380, 70869, 25, 578, 18528, 315, 279, 8582, 13931, 315, 30614, 6835, 279, 33975, 872, 8146, 13, 57175, 2194, 6962, 91111, 2579, 3177, 11, 323, 61083, 30614, 8881, 6437, 3177, 11, 7231, 80770, 355, 323, 80724, 872, 35947, 6437, 8146, 627, 10445, 1587, 80724, 617, 264, 1529, 51220, 1933, 5380, 791, 96531, 6437, 1933, 315, 279, 11841, 374, 264, 1121, 315, 279, 44225, 315, 2579, 323, 59141, 3177, 555, 80724, 753, 61083, 16975, 13, 4696, 80724, 753, 8147, 3312, 39036, 17004, 2345, 2940, 29592, 12523, 520, 7154, 220, 7467, 35061, 55434, 31288, 389, 279, 6453, 6437, 19671, 1120, 10007, 315, 80724, 753, 3312, 859, 627, 10445, 656, 80770, 355, 323, 80724, 5101, 6437, 477, 6437, 39368, 28223, 1169, 5380, 10445, 656, 80770, 355, 323, 80724, 5101, 1529, 51220, 304, 1933, 30, 2435, 2225, 6824, 315, 35784, 11, 97607, 11, 323, 61083, 13, 578, 6437, 1933, 3135, 505, 279, 61083, 627, 3923, 1587, 279, 1933, 315, 80770, 355, 323, 80724, 3371, 499, 922, 872, 18528, 5380, 21279, 80770, 355, 323, 80724, 617, 264, 6437, 6307, 49104, 994, 13468, 1555, 264, 56925, 13, 3639, 1587, 430, 3371, 499, 922, 872, 18528, 30, 3562, 3135, 505, 279, 61083, 304, 872, 14036, 65733, 13, 763, 5369, 311, 70275, 59141, 3177, 11, 61083, 1101, 91111, 2579, 3177, 627, 10445, 527, 80770, 355, 323, 80724, 2204, 8146, 5380, 52, 6713, 355, 374, 264, 6962, 11841, 902, 706, 264, 2763, 315, 61083, 6962, 9709, 304, 449, 1202, 14918, 35784, 323, 97607, 16975, 13, 1115, 61083, 6962, 6835, 80770, 355, 264, 6307, 819, 6437, 1933, 80724, 1101, 706, 1063, 61083, 6962, 304, 1202, 14918, 35784, 323, 97607, 16975, 11, 7231, 433, 264, 1529, 51220, 1933, 627, 3923, 3727, 80770, 355, 6437, 5380, 52, 6713, 355, 5334, 1202, 6437, 39368, 1933, 505, 61083, 6962, 304, 279, 16975, 13, 8219, 4238, 16609, 1555, 279, 16975, 323, 374, 27000, 1203, 704, 555, 80770, 355, 529, 9624, 33522, 13, 57175, 2194, 6962, 91111, 279, 2579, 13651, 315, 279, 3177, 11, 13239, 304, 264, 6437, 39368, 1933, 627, 10445, 1587, 80724, 5101, 6437, 323, 50789, 2579, 5380, 10445, 1587, 80724, 5101, 6437, 323, 50789, 2579, 30, 57175, 2194, 304, 80724, 753, 16975, 91111, 2579, 3177, 13, 8595, 374, 50789, 39950, 261, 1109, 50253, 30, 11699, 5190, 3148, 323, 24128, 25633, 1202, 15135, 627, 10445, 80770, 355, 323, 80724, 656, 539, 6782, 14812, 46258, 35784, 5380, 9673, 1403, 33975, 656, 539, 617, 3403, 35784, 11, 477, 14343, 3148, 323, 5419, 7410, 11, 311, 37663, 279, 35784, 1139, 264, 46258, 1614, 13, 2100, 1070, 374, 912, 5419, 12811, 315, 14812, 46258, 35784, 4871, 80770, 355, 323, 80724, 627, 3923, 374, 279, 6371, 315, 279, 25562, 315, 80770, 355, 5380, 791, 80770, 1122, 10264, 1887, 4762, 44853, 505, 279, 19277, 278, 88452, 315, 3892, 81260, 430, 3131, 25281, 2212, 279, 11841, 13, 4740, 4631, 6714, 11, 279, 81260, 4762, 14760, 709, 1139, 1690, 19252, 11, 902, 26968, 439, 15376, 323, 3469, 2740, 29050, 25562, 1193, 304, 26549, 45408, 26467, 315, 7340, 20334, 627, 3923, 5224, 922, 6565, 374, 837, 5380, 23956, 5224, 922, 30755, 374, 837, 30, 1102, 374, 279, 1455, 36373, 2740, 4642, 2547, 304, 1057, 13238, 1887, 13, 16299, 315, 279, 2768, 81260, 374, 6646, 4461, 311, 617, 264, 5655, 11, 5258, 10730, 18435, 315, 14812, 3090, 30, 16299, 5224, 922, 62938, 25562, 374, 539, 837, 5380, 3923, 374, 279, 1925, 2944, 430, 80770, 355, 323, 80724, 5101, 264, 1529, 51220, 1933, 1418, 50789, 323, 50253, 656, 539, 5380, 32, 13, 578, 9624, 33522, 315, 50789, 323, 50253, 617, 264, 2204, 18528, 505, 279, 9624, 33522, 315, 80770, 355, 323, 80724, 13, 57175, 2194, 6962, 91111, 2579, 3177, 11, 323, 61083, 30614, 8881, 6437, 3177, 11, 7231, 80770, 355, 323, 80724, 872, 35947, 6437, 8146, 627, 10445, 1587, 80770, 355, 1427, 6437, 39368, 5380, 791, 6437, 39368, 1933, 3135, 505, 279, 44225, 315, 2579, 3177, 555, 61083, 6962, 304, 80770, 355, 529, 5655, 11, 9439, 323, 49723, 2867, 16975, 13, 4696, 763, 2144, 11, 279, 48694, 374, 6453, 323, 14113, 304, 1933, 2212, 279, 11841, 627, 10445, 656, 80770, 355, 323, 80724, 617, 6437, 61083, 30614, 5380, 10445, 656, 80770, 355, 323, 80724, 617, 6437, 61083, 30614, 719, 50789, 323, 50253, 656, 539, 30, 362, 12, 578, 12309, 6435, 12984, 315, 80770, 355, 323, 80724, 6276, 61083, 311, 45666, 311, 5190, 5990, 304, 279, 16975, 323, 9955, 1137, 1139, 30614, 13, 128001, -100, 2520, 264, 220, 16, 11, 433, 2011, 617, 912, 49878, 287, 29600, 520, 682, 13, 6295, 7365, 374, 856, 15821, 22359, 23655, 439, 264, 364, 17, 6, 323, 279, 1193, 2944, 3249, 433, 4536, 956, 264, 220, 16, 374, 1606, 315, 279, 1176, 9417, 1047, 1063, 4754, 323, 358, 15262, 279, 3752, 2955, 315, 510, 49, 258, 9725, 1277, 1129, 74, 72054, 42179, 916, 14, 679, 21, 14, 2589, 92036, 24747, 92036, 24747, 3880, 258, 12934, 21904, 2192, 12, 942, 88, 6695, 75199, 8437, 86111, 19716, 12, 13104, 87, 4386, 15, 35765, 14441, 72054, 42179, 916, 70323, 12, 4531, 11151, 258, 16222, 21904, 2192, 13, 14033, 87, 16415, 4924, 30, 943, 2190, 28, 14033, 87, 16415, 28165, 26, 307, 28, 10148, 2421, 8, 323, 1364, 31256, 757, 315, 816, 16711, 505, 14603, 2192, 70207, 11, 889, 574, 779, 1790, 2523, 311, 3821, 13, 358, 3358, 4762, 3041, 264, 220, 16, 994, 358, 3821, 2555, 1093, 21725, 315, 80847, 320, 8370, 358, 617, 912, 14944, 315, 10307, 50655, 2746, 220, 605, 374, 279, 38391, 11, 1243, 220, 24, 13, 1102, 596, 2288, 1790, 369, 757, 422, 433, 596, 3485, 220, 508, 32037, 323, 1314, 1457, 433, 596, 220, 1187, 32037, 108681, 41974, 1070, 690, 387, 264, 8798, 31498, 420, 2046, 323, 358, 2846, 353, 1962, 9, 3411, 4741, 311, 433, 4286, 5159, 7075, 25977, 87202, 3752, 374, 510, 20190, 73, 49404, 1494, 5169, 16261, 37135, 612, 4937, 26, 18, 9725, 1277, 1129, 2185, 53153, 540, 266, 2850, 57432, 916, 14, 17, 303, 17217, 28455, 11628, 9579, 14, 24194, 44978, 14, 679, 13384, 20945, 21975, 21848, 26513, 5037, 17, 6458, 3443, 8, 358, 3021, 4395, 922, 1077, 323, 41896, 2850, 328, 17, 690, 10737, 1077, 15952, 779, 358, 2846, 2216, 12304, 369, 279, 19367, 3280, 0, 15073, 3112, 9523, 11, 358, 1093, 3515, 2204, 37199, 315, 832, 12745, 779, 433, 3250, 956, 5101, 81846, 15716, 358, 1427, 520, 856, 5643, 27046, 1442, 499, 3596, 636, 89139, 1862, 499, 1288, 1005, 420, 12745, 6642, 11, 433, 4265, 387, 7185, 311, 1518, 1023, 12745, 37199, 27046, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 8238, 2771, 701, 18991, 2626, 374, 2682, 449, 279, 1314, 8276, 6425, 627, 50, 74585, 323, 18189, 12782, 4579, 26822, 374, 264, 5526, 8712, 430, 25341, 323, 17047, 27083, 617, 10968, 389, 11, 6968, 502, 10396, 323, 10886, 13, 7648, 9873, 1518, 279, 907, 315, 10671, 810, 22556, 323, 617, 1903, 433, 264, 10844, 13, 51869, 5220, 617, 6776, 311, 1520, 872, 6444, 5662, 1521, 9021, 1418, 48227, 287, 872, 13166, 3674, 12014, 7620, 13, 1789, 3187, 279, 1005, 315, 12782, 24770, 5684, 649, 1520, 6444, 8108, 872, 12782, 43972, 627, 43182, 1093, 1023, 5596, 315, 279, 15266, 10706, 11, 279, 18991, 5064, 706, 264, 5190, 23369, 4325, 1109, 1023, 19647, 13, 362, 220, 679, 19, 4007, 505, 279, 51869, 24780, 23590, 8710, 430, 279, 23369, 4325, 304, 279, 18991, 5064, 304, 4892, 5270, 374, 220, 2790, 1667, 2362, 13, 6193, 279, 1828, 13515, 11, 1690, 315, 1521, 7487, 690, 387, 60873, 323, 433, 753, 2133, 311, 387, 3062, 311, 1505, 502, 8420, 13, 2468, 2193, 287, 323, 4967, 3995, 11, 502, 11005, 1555, 83299, 7620, 11, 649, 1520, 499, 617, 8738, 6650, 304, 279, 1667, 311, 2586, 627, 39212, 18991, 706, 2586, 264, 1317, 1648, 304, 279, 3347, 2478, 1667, 311, 279, 1486, 430, 1455, 1274, 649, 1431, 1524, 3371, 279, 6811, 505, 4445, 18991, 13, 93696, 304, 7528, 57053, 649, 387, 11646, 11, 719, 3515, 279, 5845, 311, 6493, 389, 24210, 67610, 3115, 369, 701, 6444, 649, 2343, 1022, 13, 23212, 11, 1694, 3025, 311, 3085, 701, 6444, 23917, 7194, 369, 3428, 8286, 690, 1101, 2187, 499, 311, 9407, 701, 2626, 311, 502, 6130, 21282, 430, 499, 7846, 1431, 8767, 2532, 627, 644, 682, 13878, 315, 2626, 11, 8830, 701, 6444, 374, 3062, 13, 43987, 2101, 323, 48513, 12135, 449, 701, 9749, 6444, 1288, 387, 459, 3158, 315, 5357, 369, 220, 679, 21, 13, 77797, 311, 701, 6444, 323, 8830, 872, 3966, 690, 1304, 433, 8831, 311, 4662, 311, 1124, 13, 763, 264, 7701, 15022, 5064, 11, 3515, 279, 1314, 12135, 374, 4395, 323, 690, 58003, 7720, 369, 1667, 311, 2586, 627, 2409, 279, 1314, 9293, 304, 220, 679, 21, 499, 649, 2793, 304, 279, 3938, 315, 701, 2626, 323, 4822, 8469, 315, 279, 10937, 627, 128001, 128000, 71251, 279, 24128, 315, 279, 12434, 11501, 2212, 603, 11, 433, 374, 5199, 311, 617, 17879, 6677, 304, 2015, 311, 6144, 323, 5471, 4726, 82189, 13, 6112, 9585, 279, 3021, 323, 2512, 369, 279, 40190, 374, 7718, 304, 264, 3995, 53243, 529, 6873, 13, 25274, 2771, 430, 279, 3966, 315, 279, 3938, 9659, 527, 2322, 555, 279, 9578, 753, 5070, 11, 41329, 374, 7701, 30526, 3432, 13, 2468, 279, 3118, 4478, 315, 15652, 11, 5933, 5070, 527, 1694, 79266, 520, 459, 57376, 4478, 13, 578, 41421, 425, 315, 5070, 3432, 374, 2133, 311, 6089, 2515, 3938, 22540, 11, 8617, 6975, 279, 12939, 315, 279, 5070, 323, 279, 4676, 520, 459, 4216, 4325, 11, 649, 69033, 264, 2731, 5133, 449, 7138, 13, 25027, 6873, 8779, 1274, 3619, 279, 81909, 9057, 555, 927, 69331, 7709, 11, 323, 1180, 28178, 627, 697, 3078, 287, 12434, 5674, 374, 5107, 1389, 1101, 7170, 12266, 13, 1226, 1205, 26611, 9721, 3046, 323, 43448, 311, 8108, 279, 5674, 323, 33508, 6307, 10105, 13, 14636, 11, 12917, 12434, 6873, 520, 8853, 374, 5199, 46877, 13, 25027, 6873, 15100, 279, 5933, 4676, 11, 279, 3966, 11, 323, 279, 6944, 3235, 449, 8149, 6492, 315, 1268, 3823, 649, 10299, 872, 6299, 323, 5398, 1124, 304, 4799, 315, 279, 1917, 39646, 13, 578, 1925, 5357, 315, 6873, 374, 311, 70772, 6677, 11, 1893, 17985, 11, 304, 3395, 43872, 459, 19451, 315, 4747, 11, 323, 1101, 3493, 5995, 7512, 311, 3790, 279, 4676, 323, 1202, 11774, 627, 83166, 11930, 374, 13524, 6975, 922, 279, 4676, 11, 1555, 279, 4676, 11, 323, 369, 279, 4676, 13, 578, 4007, 1288, 387, 264, 22599, 315, 279, 2254, 323, 1101, 279, 1917, 12434, 10742, 323, 3966, 26, 323, 311, 387, 27078, 311, 11774, 439, 1664, 13, 25027, 4007, 374, 539, 16632, 264, 8481, 315, 6677, 11, 433, 374, 459, 5603, 311, 6975, 555, 8405, 2167, 14675, 311, 279, 4676, 11, 1701, 4642, 11, 6206, 10539, 18841, 1749, 449, 25679, 389, 6975, 555, 3815, 11, 24919, 323, 3575, 99246, 627, 52555, 11, 1694, 8010, 315, 279, 8396, 1389, 12434, 6873, 8779, 2911, 3432, 304, 5370, 5627, 13, 9393, 315, 19433, 4442, 11, 3432, 753, 2911, 527, 13326, 5737, 30619, 3953, 323, 13326, 389, 14683, 54475, 13, 2435, 8493, 1455, 315, 872, 892, 10307, 12707, 11, 14624, 311, 4731, 11, 5737, 477, 58840, 279, 8191, 13, 2435, 617, 912, 77004, 311, 5944, 323, 13488, 279, 5933, 1917, 2212, 1124, 13, 1115, 539, 1193, 25949, 872, 2890, 719, 1101, 30069, 82, 1124, 505, 872, 40190, 323, 7138, 13, 60780, 709, 1139, 12884, 430, 527, 45017, 311, 279, 10742, 520, 1450, 323, 527, 539, 43131, 311, 387, 7138, 47995, 627, 2127, 57340, 33142, 9659, 374, 279, 1205, 2133, 4741, 13, 56096, 753, 6164, 1205, 311, 387, 19167, 369, 16986, 753, 11774, 11, 323, 584, 2011, 49672, 10772, 279, 3995, 53243, 11, 369, 279, 3938, 814, 690, 24683, 13, 128001, 128000, 644, 279, 220, 508, 339, 9478, 11, 20748, 315, 77537, 6953, 698, 1303, 32246, 9057, 264, 3728, 12434, 11501, 1555, 872, 5845, 311, 5353, 77537, 92948, 304, 279, 16975, 13, 507, 8855, 11335, 264, 16595, 3560, 369, 2324, 389, 9420, 1555, 8405, 264, 23061, 17383, 369, 11660, 13238, 30136, 7826, 25407, 11, 902, 374, 3967, 311, 617, 8389, 6372, 389, 11012, 323, 10099, 320, 16564, 6930, 9572, 304, 12966, 570, 8121, 12434, 4947, 706, 1027, 6992, 304, 76283, 279, 9327, 304, 279, 41353, 315, 77537, 6953, 698, 1303, 45475, 26333, 15603, 11, 779, 430, 14675, 311, 11660, 30136, 7826, 25407, 374, 4461, 311, 387, 2753, 315, 264, 6023, 311, 61951, 323, 12966, 304, 279, 220, 1691, 267, 9478, 627, 11458, 11, 3544, 27339, 304, 77537, 323, 7479, 30136, 7826, 25407, 617, 1101, 3463, 311, 617, 10222, 304, 279, 86278, 3347, 449, 13893, 3682, 25127, 369, 10182, 323, 61951, 13, 1789, 3187, 11, 57890, 304, 279, 9420, 753, 28355, 39100, 2115, 1253, 617, 9057, 4442, 304, 77537, 32466, 11, 323, 279, 12992, 304, 13238, 30136, 7826, 25407, 520, 279, 9420, 753, 7479, 430, 19543, 617, 1524, 20162, 311, 279, 52609, 315, 279, 4275, 8363, 339, 1147, 13, 2030, 8051, 30136, 7826, 25407, 374, 459, 3062, 3977, 369, 3619, 1920, 66700, 2324, 389, 9420, 11, 520, 3118, 433, 8625, 17436, 311, 44928, 4442, 304, 30136, 7826, 25407, 520, 279, 9420, 753, 7479, 7953, 279, 42045, 22323, 2533, 279, 220, 508, 339, 9478, 627, 6810, 12, 23042, 690, 4879, 311, 11886, 420, 8815, 1555, 279, 11742, 6492, 315, 31376, 2320, 33389, 41936, 13, 8876, 279, 220, 1049, 15, 82, 12074, 617, 12090, 430, 11742, 7160, 49916, 9124, 555, 11012, 11, 323, 902, 527, 1101, 1766, 304, 279, 14620, 315, 79784, 41936, 323, 1243, 28016, 304, 44236, 323, 293, 27403, 927, 9214, 315, 1667, 11, 1253, 387, 1511, 311, 44928, 30136, 7826, 25407, 4036, 520, 279, 9420, 753, 7479, 13, 57828, 12, 23042, 690, 1005, 21896, 311, 3493, 279, 22772, 1862, 369, 420, 13594, 11, 323, 1243, 1005, 420, 8830, 311, 3493, 279, 1176, 47616, 43738, 315, 30136, 7826, 25407, 3196, 389, 11163, 12843, 14393, 709, 311, 279, 1566, 220, 605, 11, 931, 1667, 627, 57235, 811, 304, 30136, 7826, 520, 279, 9420, 753, 7479, 527, 4461, 311, 617, 1047, 3682, 16296, 369, 50953, 12912, 323, 49554, 8182, 30295, 304, 279, 86278, 3347, 13, 2435, 527, 1101, 459, 3062, 21070, 369, 8830, 12912, 315, 3728, 323, 15481, 10182, 2349, 13, 4452, 11, 1070, 374, 912, 37538, 1749, 311, 10484, 275, 8046, 44928, 30136, 7826, 7953, 279, 42045, 3335, 13, 1115, 374, 35906, 48419, 4776, 1057, 5845, 311, 24499, 279, 13112, 315, 30136, 7826, 4442, 323, 872, 5938, 10182, 30295, 304, 279, 3347, 11, 323, 872, 25949, 389, 49554, 8182, 30295, 323, 50953, 2349, 627, 32, 26455, 502, 5603, 55725, 311, 1005, 279, 11742, 32246, 315, 31376, 2320, 33389, 41936, 311, 44928, 30136, 7826, 13, 4452, 11, 433, 8625, 12266, 311, 10484, 275, 8046, 16430, 279, 26703, 315, 2024, 4014, 462, 750, 4036, 30136, 7826, 25407, 3196, 389, 1510, 8830, 13, 1115, 374, 1606, 11091, 6043, 78, 12, 23042, 7826, 7978, 617, 14918, 1511, 1867, 21064, 5528, 311, 24499, 279, 79784, 12, 32056, 2077, 311, 30136, 7826, 25407, 13, 362, 502, 5603, 374, 2631, 902, 75762, 8830, 315, 279, 93532, 2077, 520, 279, 6136, 2237, 11, 304, 2015, 311, 3493, 47616, 16456, 20232, 902, 527, 1234, 79, 21203, 555, 1920, 6108, 8830, 627, 6810, 12, 23042, 43581, 420, 3575, 555, 11469, 279, 1176, 47616, 43738, 1646, 369, 30136, 7826, 3196, 389, 31376, 79784, 13, 1561, 46763, 8830, 922, 279, 24156, 2077, 520, 279, 6136, 5569, 690, 387, 11093, 449, 1646, 839, 4442, 304, 13238, 25407, 311, 7168, 3685, 4442, 304, 79784, 30903, 369, 1403, 2204, 18852, 304, 279, 16071, 78782, 13, 1226, 690, 32172, 19248, 505, 4028, 264, 2134, 315, 11742, 12823, 311, 2274, 264, 743, 315, 502, 44064, 88568, 902, 690, 1101, 7417, 8830, 93532, 44014, 16940, 279, 2077, 311, 30136, 7826, 25407, 13, 1115, 690, 11, 369, 279, 1176, 892, 11, 2187, 12074, 311, 2274, 1920, 6108, 16456, 20232, 315, 30136, 7826, 11, 13239, 304, 3544, 18637, 304, 279, 7571, 27121, 315, 11, 323, 12410, 304, 11, 30136, 7826, 16456, 20232, 449, 3117, 87248, 25127, 369, 3980, 85728, 2436, 323, 6136, 8198, 10977, 13, 128001 ]
[ -100, 8238, 2771, 701, 18991, 2626, 374, 2682, 449, 279, 1314, 8276, 6425, 627, 50, 74585, 323, 18189, 12782, 4579, 26822, 374, 264, 5526, 8712, 430, 25341, 323, 17047, 27083, 617, 10968, 389, 11, 6968, 502, 10396, 323, 10886, 13, 7648, 9873, 1518, 279, 907, 315, 10671, 810, 22556, 323, 617, 1903, 433, 264, 10844, 13, 51869, 5220, 617, 6776, 311, 1520, 872, 6444, 5662, 1521, 9021, 1418, 48227, 287, 872, 13166, 3674, 12014, 7620, 13, 1789, 3187, 279, 1005, 315, 12782, 24770, 5684, 649, 1520, 6444, 8108, 872, 12782, 43972, 627, 43182, 1093, 1023, 5596, 315, 279, 15266, 10706, 11, 279, 18991, 5064, 706, 264, 5190, 23369, 4325, 1109, 1023, 19647, 13, 362, 220, 679, 19, 4007, 505, 279, 51869, 24780, 23590, 8710, 430, 279, 23369, 4325, 304, 279, 18991, 5064, 304, 4892, 5270, 374, 220, 2790, 1667, 2362, 13, 6193, 279, 1828, 13515, 11, 1690, 315, 1521, 7487, 690, 387, 60873, 323, 433, 753, 2133, 311, 387, 3062, 311, 1505, 502, 8420, 13, 2468, 2193, 287, 323, 4967, 3995, 11, 502, 11005, 1555, 83299, 7620, 11, 649, 1520, 499, 617, 8738, 6650, 304, 279, 1667, 311, 2586, 627, 39212, 18991, 706, 2586, 264, 1317, 1648, 304, 279, 3347, 2478, 1667, 311, 279, 1486, 430, 1455, 1274, 649, 1431, 1524, 3371, 279, 6811, 505, 4445, 18991, 13, 93696, 304, 7528, 57053, 649, 387, 11646, 11, 719, 3515, 279, 5845, 311, 6493, 389, 24210, 67610, 3115, 369, 701, 6444, 649, 2343, 1022, 13, 23212, 11, 1694, 3025, 311, 3085, 701, 6444, 23917, 7194, 369, 3428, 8286, 690, 1101, 2187, 499, 311, 9407, 701, 2626, 311, 502, 6130, 21282, 430, 499, 7846, 1431, 8767, 2532, 627, 644, 682, 13878, 315, 2626, 11, 8830, 701, 6444, 374, 3062, 13, 43987, 2101, 323, 48513, 12135, 449, 701, 9749, 6444, 1288, 387, 459, 3158, 315, 5357, 369, 220, 679, 21, 13, 77797, 311, 701, 6444, 323, 8830, 872, 3966, 690, 1304, 433, 8831, 311, 4662, 311, 1124, 13, 763, 264, 7701, 15022, 5064, 11, 3515, 279, 1314, 12135, 374, 4395, 323, 690, 58003, 7720, 369, 1667, 311, 2586, 627, 2409, 279, 1314, 9293, 304, 220, 679, 21, 499, 649, 2793, 304, 279, 3938, 315, 701, 2626, 323, 4822, 8469, 315, 279, 10937, 627, 128001, -100, 71251, 279, 24128, 315, 279, 12434, 11501, 2212, 603, 11, 433, 374, 5199, 311, 617, 17879, 6677, 304, 2015, 311, 6144, 323, 5471, 4726, 82189, 13, 6112, 9585, 279, 3021, 323, 2512, 369, 279, 40190, 374, 7718, 304, 264, 3995, 53243, 529, 6873, 13, 25274, 2771, 430, 279, 3966, 315, 279, 3938, 9659, 527, 2322, 555, 279, 9578, 753, 5070, 11, 41329, 374, 7701, 30526, 3432, 13, 2468, 279, 3118, 4478, 315, 15652, 11, 5933, 5070, 527, 1694, 79266, 520, 459, 57376, 4478, 13, 578, 41421, 425, 315, 5070, 3432, 374, 2133, 311, 6089, 2515, 3938, 22540, 11, 8617, 6975, 279, 12939, 315, 279, 5070, 323, 279, 4676, 520, 459, 4216, 4325, 11, 649, 69033, 264, 2731, 5133, 449, 7138, 13, 25027, 6873, 8779, 1274, 3619, 279, 81909, 9057, 555, 927, 69331, 7709, 11, 323, 1180, 28178, 627, 697, 3078, 287, 12434, 5674, 374, 5107, 1389, 1101, 7170, 12266, 13, 1226, 1205, 26611, 9721, 3046, 323, 43448, 311, 8108, 279, 5674, 323, 33508, 6307, 10105, 13, 14636, 11, 12917, 12434, 6873, 520, 8853, 374, 5199, 46877, 13, 25027, 6873, 15100, 279, 5933, 4676, 11, 279, 3966, 11, 323, 279, 6944, 3235, 449, 8149, 6492, 315, 1268, 3823, 649, 10299, 872, 6299, 323, 5398, 1124, 304, 4799, 315, 279, 1917, 39646, 13, 578, 1925, 5357, 315, 6873, 374, 311, 70772, 6677, 11, 1893, 17985, 11, 304, 3395, 43872, 459, 19451, 315, 4747, 11, 323, 1101, 3493, 5995, 7512, 311, 3790, 279, 4676, 323, 1202, 11774, 627, 83166, 11930, 374, 13524, 6975, 922, 279, 4676, 11, 1555, 279, 4676, 11, 323, 369, 279, 4676, 13, 578, 4007, 1288, 387, 264, 22599, 315, 279, 2254, 323, 1101, 279, 1917, 12434, 10742, 323, 3966, 26, 323, 311, 387, 27078, 311, 11774, 439, 1664, 13, 25027, 4007, 374, 539, 16632, 264, 8481, 315, 6677, 11, 433, 374, 459, 5603, 311, 6975, 555, 8405, 2167, 14675, 311, 279, 4676, 11, 1701, 4642, 11, 6206, 10539, 18841, 1749, 449, 25679, 389, 6975, 555, 3815, 11, 24919, 323, 3575, 99246, 627, 52555, 11, 1694, 8010, 315, 279, 8396, 1389, 12434, 6873, 8779, 2911, 3432, 304, 5370, 5627, 13, 9393, 315, 19433, 4442, 11, 3432, 753, 2911, 527, 13326, 5737, 30619, 3953, 323, 13326, 389, 14683, 54475, 13, 2435, 8493, 1455, 315, 872, 892, 10307, 12707, 11, 14624, 311, 4731, 11, 5737, 477, 58840, 279, 8191, 13, 2435, 617, 912, 77004, 311, 5944, 323, 13488, 279, 5933, 1917, 2212, 1124, 13, 1115, 539, 1193, 25949, 872, 2890, 719, 1101, 30069, 82, 1124, 505, 872, 40190, 323, 7138, 13, 60780, 709, 1139, 12884, 430, 527, 45017, 311, 279, 10742, 520, 1450, 323, 527, 539, 43131, 311, 387, 7138, 47995, 627, 2127, 57340, 33142, 9659, 374, 279, 1205, 2133, 4741, 13, 56096, 753, 6164, 1205, 311, 387, 19167, 369, 16986, 753, 11774, 11, 323, 584, 2011, 49672, 10772, 279, 3995, 53243, 11, 369, 279, 3938, 814, 690, 24683, 13, 128001, -100, 644, 279, 220, 508, 339, 9478, 11, 20748, 315, 77537, 6953, 698, 1303, 32246, 9057, 264, 3728, 12434, 11501, 1555, 872, 5845, 311, 5353, 77537, 92948, 304, 279, 16975, 13, 507, 8855, 11335, 264, 16595, 3560, 369, 2324, 389, 9420, 1555, 8405, 264, 23061, 17383, 369, 11660, 13238, 30136, 7826, 25407, 11, 902, 374, 3967, 311, 617, 8389, 6372, 389, 11012, 323, 10099, 320, 16564, 6930, 9572, 304, 12966, 570, 8121, 12434, 4947, 706, 1027, 6992, 304, 76283, 279, 9327, 304, 279, 41353, 315, 77537, 6953, 698, 1303, 45475, 26333, 15603, 11, 779, 430, 14675, 311, 11660, 30136, 7826, 25407, 374, 4461, 311, 387, 2753, 315, 264, 6023, 311, 61951, 323, 12966, 304, 279, 220, 1691, 267, 9478, 627, 11458, 11, 3544, 27339, 304, 77537, 323, 7479, 30136, 7826, 25407, 617, 1101, 3463, 311, 617, 10222, 304, 279, 86278, 3347, 449, 13893, 3682, 25127, 369, 10182, 323, 61951, 13, 1789, 3187, 11, 57890, 304, 279, 9420, 753, 28355, 39100, 2115, 1253, 617, 9057, 4442, 304, 77537, 32466, 11, 323, 279, 12992, 304, 13238, 30136, 7826, 25407, 520, 279, 9420, 753, 7479, 430, 19543, 617, 1524, 20162, 311, 279, 52609, 315, 279, 4275, 8363, 339, 1147, 13, 2030, 8051, 30136, 7826, 25407, 374, 459, 3062, 3977, 369, 3619, 1920, 66700, 2324, 389, 9420, 11, 520, 3118, 433, 8625, 17436, 311, 44928, 4442, 304, 30136, 7826, 25407, 520, 279, 9420, 753, 7479, 7953, 279, 42045, 22323, 2533, 279, 220, 508, 339, 9478, 627, 6810, 12, 23042, 690, 4879, 311, 11886, 420, 8815, 1555, 279, 11742, 6492, 315, 31376, 2320, 33389, 41936, 13, 8876, 279, 220, 1049, 15, 82, 12074, 617, 12090, 430, 11742, 7160, 49916, 9124, 555, 11012, 11, 323, 902, 527, 1101, 1766, 304, 279, 14620, 315, 79784, 41936, 323, 1243, 28016, 304, 44236, 323, 293, 27403, 927, 9214, 315, 1667, 11, 1253, 387, 1511, 311, 44928, 30136, 7826, 25407, 4036, 520, 279, 9420, 753, 7479, 13, 57828, 12, 23042, 690, 1005, 21896, 311, 3493, 279, 22772, 1862, 369, 420, 13594, 11, 323, 1243, 1005, 420, 8830, 311, 3493, 279, 1176, 47616, 43738, 315, 30136, 7826, 25407, 3196, 389, 11163, 12843, 14393, 709, 311, 279, 1566, 220, 605, 11, 931, 1667, 627, 57235, 811, 304, 30136, 7826, 520, 279, 9420, 753, 7479, 527, 4461, 311, 617, 1047, 3682, 16296, 369, 50953, 12912, 323, 49554, 8182, 30295, 304, 279, 86278, 3347, 13, 2435, 527, 1101, 459, 3062, 21070, 369, 8830, 12912, 315, 3728, 323, 15481, 10182, 2349, 13, 4452, 11, 1070, 374, 912, 37538, 1749, 311, 10484, 275, 8046, 44928, 30136, 7826, 7953, 279, 42045, 3335, 13, 1115, 374, 35906, 48419, 4776, 1057, 5845, 311, 24499, 279, 13112, 315, 30136, 7826, 4442, 323, 872, 5938, 10182, 30295, 304, 279, 3347, 11, 323, 872, 25949, 389, 49554, 8182, 30295, 323, 50953, 2349, 627, 32, 26455, 502, 5603, 55725, 311, 1005, 279, 11742, 32246, 315, 31376, 2320, 33389, 41936, 311, 44928, 30136, 7826, 13, 4452, 11, 433, 8625, 12266, 311, 10484, 275, 8046, 16430, 279, 26703, 315, 2024, 4014, 462, 750, 4036, 30136, 7826, 25407, 3196, 389, 1510, 8830, 13, 1115, 374, 1606, 11091, 6043, 78, 12, 23042, 7826, 7978, 617, 14918, 1511, 1867, 21064, 5528, 311, 24499, 279, 79784, 12, 32056, 2077, 311, 30136, 7826, 25407, 13, 362, 502, 5603, 374, 2631, 902, 75762, 8830, 315, 279, 93532, 2077, 520, 279, 6136, 2237, 11, 304, 2015, 311, 3493, 47616, 16456, 20232, 902, 527, 1234, 79, 21203, 555, 1920, 6108, 8830, 627, 6810, 12, 23042, 43581, 420, 3575, 555, 11469, 279, 1176, 47616, 43738, 1646, 369, 30136, 7826, 3196, 389, 31376, 79784, 13, 1561, 46763, 8830, 922, 279, 24156, 2077, 520, 279, 6136, 5569, 690, 387, 11093, 449, 1646, 839, 4442, 304, 13238, 25407, 311, 7168, 3685, 4442, 304, 79784, 30903, 369, 1403, 2204, 18852, 304, 279, 16071, 78782, 13, 1226, 690, 32172, 19248, 505, 4028, 264, 2134, 315, 11742, 12823, 311, 2274, 264, 743, 315, 502, 44064, 88568, 902, 690, 1101, 7417, 8830, 93532, 44014, 16940, 279, 2077, 311, 30136, 7826, 25407, 13, 1115, 690, 11, 369, 279, 1176, 892, 11, 2187, 12074, 311, 2274, 1920, 6108, 16456, 20232, 315, 30136, 7826, 11, 13239, 304, 3544, 18637, 304, 279, 7571, 27121, 315, 11, 323, 12410, 304, 11, 30136, 7826, 16456, 20232, 449, 3117, 87248, 25127, 369, 3980, 85728, 2436, 323, 6136, 8198, 10977, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 15721, 26, 356, 11539, 17, 5828, 956, 2294, 16039, 719, 8244, 11, 433, 574, 17339, 271, 791, 6811, 520, 3325, 449, 53842, 34, 17, 374, 279, 1274, 433, 1234, 62503, 1051, 14918, 279, 1772, 1355, 22473, 26302, 11, 4311, 13967, 653, 58400, 1285, 389, 279, 842, 5924, 779, 433, 3287, 956, 43047, 5196, 2288, 2653, 369, 1317, 18852, 315, 892, 13, 578, 51944, 8244, 8335, 704, 311, 264, 15326, 7858, 3131, 499, 4295, 11117, 13, 1102, 596, 8706, 3575, 374, 26092, 11717, 268, 779, 1790, 430, 568, 596, 9539, 539, 264, 6023, 311, 393, 689, 11230, 304, 79360, 13, 4815, 4897, 1694, 1071, 11, 8388, 3794, 220, 15, 58473, 1147, 374, 6724, 33781, 13, 128001, 128000, 4599, 4423, 13533, 2555, 1457, 11, 358, 2019, 10035, 304, 279, 9090, 315, 87770, 13, 358, 7655, 430, 433, 753, 264, 2764, 4623, 323, 9020, 369, 810, 13, 5112, 584, 649, 8720, 279, 6848, 3871, 520, 264, 3010, 6566, 323, 7142, 1148, 2834, 1431, 990, 13, 1102, 753, 2731, 311, 3568, 449, 279, 32115, 315, 14624, 311, 5127, 753, 6848, 1109, 311, 617, 2128, 3697, 3719, 99149, 323, 539, 4430, 627, 40, 4070, 2586, 311, 39256, 87770, 4536, 1431, 1120, 922, 16785, 264, 2294, 1501, 13, 1102, 753, 1101, 922, 3794, 709, 389, 6566, 323, 22128, 279, 2523, 449, 1023, 2128, 3697, 1389, 323, 420, 2744, 3135, 304, 459, 30311, 5178, 13, 358, 1781, 433, 753, 279, 1890, 369, 9889, 7411, 1389, 279, 6305, 430, 649, 990, 2653, 323, 4774, 1855, 1023, 11, 2834, 1431, 1120, 387, 44467, 520, 990, 11, 719, 690, 13967, 1893, 2294, 2612, 627, 128001, 128000, 777, 4723, 578, 5629, 59124, 315, 75846, 344, 20000, 198, 38, 287, 344, 20000, 19813, 311, 37140, 315, 279, 67193, 10126, 11, 279, 42365, 20438, 18702, 279, 16942, 82091, 323, 12899, 18311, 13, 75846, 344, 20000, 374, 539, 14647, 4261, 546, 20000, 11, 719, 422, 2163, 83920, 649, 5208, 311, 810, 6129, 18094, 315, 42365, 8624, 13, 75846, 344, 20000, 374, 11383, 459, 4216, 1879, 315, 4261, 546, 20000, 11, 323, 2555, 279, 50351, 12621, 369, 2391, 264, 14348, 29106, 24481, 323, 6721, 16204, 18101, 13, 1442, 12020, 4216, 323, 30820, 11, 279, 42365, 20438, 2890, 649, 387, 28101, 323, 279, 8893, 649, 3136, 311, 8935, 505, 1695, 8244, 21308, 323, 29106, 2890, 627, 32, 6156, 5353, 315, 67193, 344, 20000, 374, 24032, 11, 6118, 505, 264, 1977, 5352, 315, 61464, 3235, 279, 42365, 1074, 3221, 279, 2385, 315, 18311, 13, 3277, 77826, 323, 282, 9563, 287, 26870, 527, 39413, 11, 61464, 22890, 709, 3235, 279, 98754, 323, 39990, 279, 6650, 315, 24032, 13, 578, 24032, 11384, 37140, 304, 279, 98754, 902, 649, 5208, 311, 2539, 4261, 546, 20000, 323, 9778, 5674, 18311, 11, 42365, 20438, 11, 17685, 11, 323, 8244, 2890, 13, 578, 1977, 5352, 315, 24032, 323, 37140, 11705, 264, 13225, 1990, 279, 98754, 323, 279, 18311, 11, 323, 420, 13225, 649, 3139, 927, 892, 422, 2163, 83920, 627, 32, 6156, 5353, 315, 67193, 344, 20000, 374, 24032, 11, 6118, 505, 264, 1977, 5352, 315, 61464, 3235, 279, 42365, 1074, 3221, 279, 2385, 315, 18311, 627, 3947, 527, 1023, 11384, 315, 67193, 344, 20000, 304, 5369, 311, 1120, 61464, 323, 24032, 13, 4427, 3278, 3217, 459, 5376, 304, 88636, 311, 67193, 344, 20000, 323, 1023, 29106, 2890, 5435, 439, 74218, 4442, 12446, 5938, 449, 87398, 11, 54630, 4090, 11, 20209, 11, 323, 5255, 3026, 84110, 13, 12220, 279, 74218, 4442, 279, 42365, 20438, 1253, 3719, 810, 16614, 477, 279, 13803, 1253, 387, 2073, 13478, 481, 3156, 14000, 2391, 264, 29106, 24481, 13, 35211, 2890, 4787, 323, 22866, 31010, 649, 1101, 7958, 279, 2547, 753, 5845, 311, 10519, 1695, 21308, 2890, 323, 8346, 459, 5376, 304, 67193, 344, 20000, 304, 1063, 6978, 627, 2181, 753, 3062, 311, 4358, 2890, 323, 24099, 10742, 449, 279, 50351, 311, 5663, 8389, 6372, 994, 3284, 13, 4487, 41781, 1101, 8541, 311, 2274, 67193, 344, 20000, 14134, 11, 4245, 311, 279, 20149, 26870, 7859, 24032, 304, 279, 11013, 11, 5423, 3235, 279, 4156, 18311, 13, 44840, 315, 279, 11384, 477, 3284, 11384, 315, 67193, 344, 20000, 11, 279, 1888, 9232, 374, 31692, 11297, 77826, 323, 282, 9563, 287, 26870, 13, 34088, 287, 520, 3325, 11157, 7446, 323, 282, 9563, 287, 7446, 649, 19407, 7417, 21308, 2890, 11, 5423, 994, 11093, 449, 5912, 6721, 4335, 826, 323, 1817, 8772, 449, 264, 50351, 627, 2520, 810, 2038, 389, 27252, 323, 27723, 67193, 344, 20000, 11, 3729, 279, 5274, 315, 2999, 13, 82185, 44146, 323, 1057, 30598, 29106, 35416, 3432, 0, 128001, 128000, 791, 433, 753, 1193, 2133, 311, 636, 11493, 11, 16643, 11, 10819, 627, 2181, 753, 264, 14880, 7366, 53268, 315, 6776, 11, 719, 1268, 656, 584, 26, 220, 16, 13, 13969, 3216, 30, 220, 17, 84172, 9610, 315, 433, 5380, 94413, 1427, 520, 279, 1510, 57940, 315, 279, 7528, 8661, 1917, 512, 6014, 8364, 31197, 8082, 198, 4599, 584, 1390, 311, 2778, 369, 2555, 389, 279, 7757, 584, 1005, 264, 2778, 4817, 1093, 5195, 311, 1505, 279, 11503, 627, 6014, 21787, 990, 555, 72179, 11, 323, 22209, 287, 828, 505, 3566, 11014, 323, 53080, 433, 369, 9959, 57470, 369, 1217, 2778, 20126, 627, 4599, 584, 2778, 369, 2555, 2930, 584, 6118, 1193, 4034, 279, 1176, 2478, 13335, 304, 279, 2778, 3135, 323, 78637, 584, 15376, 420, 1523, 555, 279, 3997, 753, 9959, 2778, 1121, 4096, 13, 2100, 433, 753, 832, 3245, 311, 27651, 11819, 719, 2500, 311, 27651, 7757, 3932, 627, 2028, 374, 1405, 7694, 8364, 31197, 8082, 320, 63879, 8, 4131, 304, 13, 31197, 3876, 701, 3997, 369, 2778, 21787, 1981, 323, 1101, 7757, 3932, 13, 7839, 26029, 690, 6106, 701, 2626, 477, 6883, 374, 1766, 2930, 11, 304, 279, 1176, 2478, 2778, 3135, 11, 323, 1101, 430, 279, 3566, 2262, 374, 7185, 323, 9959, 3403, 311, 27651, 4754, 6444, 323, 9778, 15025, 1139, 6763, 320, 269, 2930, 9021, 4390, 6014, 8364, 31197, 8082, 374, 2884, 555, 15749, 889, 617, 13057, 3217, 304, 14392, 1268, 311, 1888, 4587, 2778, 4817, 63236, 323, 7757, 3932, 13, 435, 14742, 430, 48444, 304, 2778, 4817, 7706, 8082, 304, 27535, 690, 2567, 67441, 561, 315, 11819, 323, 2778, 4817, 4442, 11, 3241, 9013, 323, 8891, 701, 3997, 369, 4442, 304, 2778, 4817, 3135, 627, 18876, 18729, 198, 34917, 18084, 323, 29679, 527, 10671, 459, 9070, 315, 1057, 13162, 323, 449, 220, 1490, 4, 315, 56937, 41377, 264, 22234, 11, 6505, 8661, 649, 16280, 2231, 701, 2626, 477, 6883, 304, 279, 33552, 315, 701, 6130, 753, 1450, 627, 3915, 264, 8661, 1486, 315, 1684, 420, 264, 2294, 6776, 311, 5662, 30994, 13, 58968, 1711, 701, 3997, 374, 6505, 5644, 323, 6505, 7706, 4147, 690, 6106, 701, 3997, 374, 1766, 304, 279, 2778, 3135, 323, 9959, 311, 4754, 6444, 627, 27414, 7972, 18729, 198, 4054, 315, 279, 26731, 7982, 26593, 315, 279, 7528, 1917, 11, 9983, 7972, 11, 706, 18661, 6908, 23354, 4028, 264, 7353, 38462, 627, 21124, 11, 279, 7928, 323, 1455, 6992, 3674, 3772, 2816, 11, 5131, 320, 679, 21, 8, 706, 220, 868, 11, 931, 11, 931, 5016, 13673, 3932, 26, 430, 3445, 220, 5538, 13, 20, 4, 315, 279, 7187, 706, 264, 5690, 2759, 627, 791, 1404, 315, 420, 10877, 7636, 374, 264, 6908, 8331, 304, 21630, 323, 25103, 30994, 430, 499, 649, 5662, 1555, 3674, 3772, 11, 323, 1521, 12678, 527, 505, 5690, 7636, 627, 73131, 389, 5690, 320, 438, 1023, 9983, 7972, 96209, 8, 649, 387, 7701, 17550, 323, 7524, 323, 1093, 1455, 7739, 315, 7528, 8661, 433, 649, 387, 6656, 389, 323, 1022, 311, 5376, 477, 18979, 11767, 627, 2409, 31003, 304, 3674, 3772, 11, 22234, 10648, 323, 2930, 10937, 11, 433, 374, 3062, 311, 6106, 701, 3997, 706, 682, 279, 6913, 57940, 311, 11322, 1695, 2930, 8661, 3135, 13, 5659, 44037, 26029, 11, 311, 13716, 323, 9983, 7972, 18729, 627, 11787, 499, 9959, 30, 8886, 499, 1766, 30, 8886, 499, 9983, 30, 128001 ]
[ -100, 15721, 26, 356, 11539, 17, 5828, 956, 2294, 16039, 719, 8244, 11, 433, 574, 17339, 271, 791, 6811, 520, 3325, 449, 53842, 34, 17, 374, 279, 1274, 433, 1234, 62503, 1051, 14918, 279, 1772, 1355, 22473, 26302, 11, 4311, 13967, 653, 58400, 1285, 389, 279, 842, 5924, 779, 433, 3287, 956, 43047, 5196, 2288, 2653, 369, 1317, 18852, 315, 892, 13, 578, 51944, 8244, 8335, 704, 311, 264, 15326, 7858, 3131, 499, 4295, 11117, 13, 1102, 596, 8706, 3575, 374, 26092, 11717, 268, 779, 1790, 430, 568, 596, 9539, 539, 264, 6023, 311, 393, 689, 11230, 304, 79360, 13, 4815, 4897, 1694, 1071, 11, 8388, 3794, 220, 15, 58473, 1147, 374, 6724, 33781, 13, 128001, -100, 4599, 4423, 13533, 2555, 1457, 11, 358, 2019, 10035, 304, 279, 9090, 315, 87770, 13, 358, 7655, 430, 433, 753, 264, 2764, 4623, 323, 9020, 369, 810, 13, 5112, 584, 649, 8720, 279, 6848, 3871, 520, 264, 3010, 6566, 323, 7142, 1148, 2834, 1431, 990, 13, 1102, 753, 2731, 311, 3568, 449, 279, 32115, 315, 14624, 311, 5127, 753, 6848, 1109, 311, 617, 2128, 3697, 3719, 99149, 323, 539, 4430, 627, 40, 4070, 2586, 311, 39256, 87770, 4536, 1431, 1120, 922, 16785, 264, 2294, 1501, 13, 1102, 753, 1101, 922, 3794, 709, 389, 6566, 323, 22128, 279, 2523, 449, 1023, 2128, 3697, 1389, 323, 420, 2744, 3135, 304, 459, 30311, 5178, 13, 358, 1781, 433, 753, 279, 1890, 369, 9889, 7411, 1389, 279, 6305, 430, 649, 990, 2653, 323, 4774, 1855, 1023, 11, 2834, 1431, 1120, 387, 44467, 520, 990, 11, 719, 690, 13967, 1893, 2294, 2612, 627, 128001, -100, 777, 4723, 578, 5629, 59124, 315, 75846, 344, 20000, 198, 38, 287, 344, 20000, 19813, 311, 37140, 315, 279, 67193, 10126, 11, 279, 42365, 20438, 18702, 279, 16942, 82091, 323, 12899, 18311, 13, 75846, 344, 20000, 374, 539, 14647, 4261, 546, 20000, 11, 719, 422, 2163, 83920, 649, 5208, 311, 810, 6129, 18094, 315, 42365, 8624, 13, 75846, 344, 20000, 374, 11383, 459, 4216, 1879, 315, 4261, 546, 20000, 11, 323, 2555, 279, 50351, 12621, 369, 2391, 264, 14348, 29106, 24481, 323, 6721, 16204, 18101, 13, 1442, 12020, 4216, 323, 30820, 11, 279, 42365, 20438, 2890, 649, 387, 28101, 323, 279, 8893, 649, 3136, 311, 8935, 505, 1695, 8244, 21308, 323, 29106, 2890, 627, 32, 6156, 5353, 315, 67193, 344, 20000, 374, 24032, 11, 6118, 505, 264, 1977, 5352, 315, 61464, 3235, 279, 42365, 1074, 3221, 279, 2385, 315, 18311, 13, 3277, 77826, 323, 282, 9563, 287, 26870, 527, 39413, 11, 61464, 22890, 709, 3235, 279, 98754, 323, 39990, 279, 6650, 315, 24032, 13, 578, 24032, 11384, 37140, 304, 279, 98754, 902, 649, 5208, 311, 2539, 4261, 546, 20000, 323, 9778, 5674, 18311, 11, 42365, 20438, 11, 17685, 11, 323, 8244, 2890, 13, 578, 1977, 5352, 315, 24032, 323, 37140, 11705, 264, 13225, 1990, 279, 98754, 323, 279, 18311, 11, 323, 420, 13225, 649, 3139, 927, 892, 422, 2163, 83920, 627, 32, 6156, 5353, 315, 67193, 344, 20000, 374, 24032, 11, 6118, 505, 264, 1977, 5352, 315, 61464, 3235, 279, 42365, 1074, 3221, 279, 2385, 315, 18311, 627, 3947, 527, 1023, 11384, 315, 67193, 344, 20000, 304, 5369, 311, 1120, 61464, 323, 24032, 13, 4427, 3278, 3217, 459, 5376, 304, 88636, 311, 67193, 344, 20000, 323, 1023, 29106, 2890, 5435, 439, 74218, 4442, 12446, 5938, 449, 87398, 11, 54630, 4090, 11, 20209, 11, 323, 5255, 3026, 84110, 13, 12220, 279, 74218, 4442, 279, 42365, 20438, 1253, 3719, 810, 16614, 477, 279, 13803, 1253, 387, 2073, 13478, 481, 3156, 14000, 2391, 264, 29106, 24481, 13, 35211, 2890, 4787, 323, 22866, 31010, 649, 1101, 7958, 279, 2547, 753, 5845, 311, 10519, 1695, 21308, 2890, 323, 8346, 459, 5376, 304, 67193, 344, 20000, 304, 1063, 6978, 627, 2181, 753, 3062, 311, 4358, 2890, 323, 24099, 10742, 449, 279, 50351, 311, 5663, 8389, 6372, 994, 3284, 13, 4487, 41781, 1101, 8541, 311, 2274, 67193, 344, 20000, 14134, 11, 4245, 311, 279, 20149, 26870, 7859, 24032, 304, 279, 11013, 11, 5423, 3235, 279, 4156, 18311, 13, 44840, 315, 279, 11384, 477, 3284, 11384, 315, 67193, 344, 20000, 11, 279, 1888, 9232, 374, 31692, 11297, 77826, 323, 282, 9563, 287, 26870, 13, 34088, 287, 520, 3325, 11157, 7446, 323, 282, 9563, 287, 7446, 649, 19407, 7417, 21308, 2890, 11, 5423, 994, 11093, 449, 5912, 6721, 4335, 826, 323, 1817, 8772, 449, 264, 50351, 627, 2520, 810, 2038, 389, 27252, 323, 27723, 67193, 344, 20000, 11, 3729, 279, 5274, 315, 2999, 13, 82185, 44146, 323, 1057, 30598, 29106, 35416, 3432, 0, 128001, -100, 791, 433, 753, 1193, 2133, 311, 636, 11493, 11, 16643, 11, 10819, 627, 2181, 753, 264, 14880, 7366, 53268, 315, 6776, 11, 719, 1268, 656, 584, 26, 220, 16, 13, 13969, 3216, 30, 220, 17, 84172, 9610, 315, 433, 5380, 94413, 1427, 520, 279, 1510, 57940, 315, 279, 7528, 8661, 1917, 512, 6014, 8364, 31197, 8082, 198, 4599, 584, 1390, 311, 2778, 369, 2555, 389, 279, 7757, 584, 1005, 264, 2778, 4817, 1093, 5195, 311, 1505, 279, 11503, 627, 6014, 21787, 990, 555, 72179, 11, 323, 22209, 287, 828, 505, 3566, 11014, 323, 53080, 433, 369, 9959, 57470, 369, 1217, 2778, 20126, 627, 4599, 584, 2778, 369, 2555, 2930, 584, 6118, 1193, 4034, 279, 1176, 2478, 13335, 304, 279, 2778, 3135, 323, 78637, 584, 15376, 420, 1523, 555, 279, 3997, 753, 9959, 2778, 1121, 4096, 13, 2100, 433, 753, 832, 3245, 311, 27651, 11819, 719, 2500, 311, 27651, 7757, 3932, 627, 2028, 374, 1405, 7694, 8364, 31197, 8082, 320, 63879, 8, 4131, 304, 13, 31197, 3876, 701, 3997, 369, 2778, 21787, 1981, 323, 1101, 7757, 3932, 13, 7839, 26029, 690, 6106, 701, 2626, 477, 6883, 374, 1766, 2930, 11, 304, 279, 1176, 2478, 2778, 3135, 11, 323, 1101, 430, 279, 3566, 2262, 374, 7185, 323, 9959, 3403, 311, 27651, 4754, 6444, 323, 9778, 15025, 1139, 6763, 320, 269, 2930, 9021, 4390, 6014, 8364, 31197, 8082, 374, 2884, 555, 15749, 889, 617, 13057, 3217, 304, 14392, 1268, 311, 1888, 4587, 2778, 4817, 63236, 323, 7757, 3932, 13, 435, 14742, 430, 48444, 304, 2778, 4817, 7706, 8082, 304, 27535, 690, 2567, 67441, 561, 315, 11819, 323, 2778, 4817, 4442, 11, 3241, 9013, 323, 8891, 701, 3997, 369, 4442, 304, 2778, 4817, 3135, 627, 18876, 18729, 198, 34917, 18084, 323, 29679, 527, 10671, 459, 9070, 315, 1057, 13162, 323, 449, 220, 1490, 4, 315, 56937, 41377, 264, 22234, 11, 6505, 8661, 649, 16280, 2231, 701, 2626, 477, 6883, 304, 279, 33552, 315, 701, 6130, 753, 1450, 627, 3915, 264, 8661, 1486, 315, 1684, 420, 264, 2294, 6776, 311, 5662, 30994, 13, 58968, 1711, 701, 3997, 374, 6505, 5644, 323, 6505, 7706, 4147, 690, 6106, 701, 3997, 374, 1766, 304, 279, 2778, 3135, 323, 9959, 311, 4754, 6444, 627, 27414, 7972, 18729, 198, 4054, 315, 279, 26731, 7982, 26593, 315, 279, 7528, 1917, 11, 9983, 7972, 11, 706, 18661, 6908, 23354, 4028, 264, 7353, 38462, 627, 21124, 11, 279, 7928, 323, 1455, 6992, 3674, 3772, 2816, 11, 5131, 320, 679, 21, 8, 706, 220, 868, 11, 931, 11, 931, 5016, 13673, 3932, 26, 430, 3445, 220, 5538, 13, 20, 4, 315, 279, 7187, 706, 264, 5690, 2759, 627, 791, 1404, 315, 420, 10877, 7636, 374, 264, 6908, 8331, 304, 21630, 323, 25103, 30994, 430, 499, 649, 5662, 1555, 3674, 3772, 11, 323, 1521, 12678, 527, 505, 5690, 7636, 627, 73131, 389, 5690, 320, 438, 1023, 9983, 7972, 96209, 8, 649, 387, 7701, 17550, 323, 7524, 323, 1093, 1455, 7739, 315, 7528, 8661, 433, 649, 387, 6656, 389, 323, 1022, 311, 5376, 477, 18979, 11767, 627, 2409, 31003, 304, 3674, 3772, 11, 22234, 10648, 323, 2930, 10937, 11, 433, 374, 3062, 311, 6106, 701, 3997, 706, 682, 279, 6913, 57940, 311, 11322, 1695, 2930, 8661, 3135, 13, 5659, 44037, 26029, 11, 311, 13716, 323, 9983, 7972, 18729, 627, 11787, 499, 9959, 30, 8886, 499, 1766, 30, 8886, 499, 9983, 30, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 13347, 323, 9901, 499, 369, 17136, 856, 3997, 13, 358, 1053, 1093, 499, 311, 636, 311, 1440, 757, 16102, 779, 430, 499, 636, 459, 4623, 315, 1148, 20722, 757, 46029, 627, 5159, 836, 374, 25537, 15347, 11, 358, 617, 264, 3995, 3070, 323, 4401, 264, 2626, 430, 6276, 757, 311, 8493, 439, 1790, 892, 449, 1124, 439, 3284, 3445, 264, 2763, 311, 757, 13, 21347, 304, 2585, 315, 1268, 1790, 892, 358, 7543, 449, 856, 3070, 374, 279, 2944, 358, 9749, 364, 21103, 3161, 12179, 4527, 3092, 2626, 6276, 757, 311, 3493, 369, 856, 3070, 11, 1418, 6968, 907, 323, 28462, 1023, 9873, 311, 8854, 872, 6444, 2731, 627, 40, 4510, 279, 7580, 315, 2626, 374, 311, 1893, 907, 323, 8854, 279, 6130, 11, 1176, 323, 43780, 11, 323, 1243, 311, 7380, 279, 2626, 6506, 264, 5496, 13, 91801, 5220, 6493, 4367, 323, 907, 311, 872, 6444, 374, 264, 11939, 13, 362, 11939, 902, 706, 16625, 757, 311, 5813, 264, 11782, 2626, 430, 26737, 311, 11886, 701, 6763, 11, 8661, 323, 6130, 4398, 11774, 627, 40, 1097, 35072, 279, 990, 358, 656, 3727, 264, 1972, 50401, 6811, 311, 1274, 596, 6439, 13, 4427, 315, 856, 8403, 617, 2586, 311, 757, 449, 9873, 389, 279, 68215, 315, 18678, 11, 994, 814, 1051, 5644, 311, 2571, 304, 279, 43713, 13, 578, 990, 584, 656, 1587, 617, 264, 6928, 5536, 11, 323, 420, 20722, 603, 311, 1390, 311, 656, 810, 369, 1475, 3016, 627, 2675, 1440, 810, 922, 701, 2626, 1109, 358, 656, 11, 323, 856, 5603, 374, 2204, 311, 1455, 3997, 2955, 323, 8661, 5220, 13, 358, 1935, 279, 892, 311, 3619, 7373, 1148, 701, 2626, 1587, 555, 10371, 279, 2768, 4860, 512, 6806, 10699, 527, 701, 2218, 3157, 198, 6806, 3639, 2027, 477, 2532, 656, 499, 3493, 198, 6806, 3639, 1510, 8661, 7640, 527, 499, 17045, 304, 198, 6806, 3639, 374, 2626, 6, 8706, 8815, 198, 6806, 3639, 3135, 1053, 499, 1093, 311, 1518, 198, 40, 4510, 304, 279, 2410, 315, 4860, 26, 2610, 279, 1314, 3488, 323, 499, 527, 42436, 311, 264, 22556, 6425, 13, 3092, 2683, 374, 311, 26285, 499, 779, 430, 1306, 584, 4305, 264, 6425, 11, 499, 649, 3136, 20958, 279, 990, 6261, 13, 330, 36227, 264, 893, 311, 7795, 323, 568, 690, 8343, 369, 264, 1938, 11, 4639, 1461, 1268, 311, 7795, 323, 568, 690, 8343, 369, 264, 19569, 23811, 4516, 1457, 499, 1440, 264, 2697, 2766, 922, 757, 11, 1148, 20722, 757, 46029, 323, 1148, 856, 2626, 649, 656, 369, 499, 13, 358, 1053, 1093, 311, 1440, 810, 922, 499, 323, 701, 2626, 323, 1148, 706, 7263, 499, 311, 856, 3997, 3432, 627, 2688, 5127, 374, 264, 1695, 5052, 369, 1148, 584, 656, 323, 3794, 311, 1440, 499, 11, 701, 2626, 323, 279, 3135, 499, 527, 1306, 6276, 757, 311, 8417, 422, 584, 649, 6493, 279, 3135, 499, 527, 11125, 627, 25729, 433, 374, 3997, 2955, 11, 2930, 8661, 11, 1194, 612, 44817, 477, 12708, 2955, 499, 527, 1306, 11, 4587, 2733, 1949, 311, 3729, 757, 3060, 4669, 21186, 477, 2613, 13, 358, 1427, 4741, 311, 12365, 449, 499, 11, 3794, 311, 1440, 701, 2626, 323, 1268, 584, 649, 990, 3871, 311, 636, 279, 3135, 499, 527, 1306, 13, 128001, 128000, 578, 1486, 374, 430, 279, 330, 20489, 82, 1, 527, 4998, 2229, 1606, 499, 3077, 2736, 11721, 520, 264, 2035, 1405, 499, 617, 311, 7055, 369, 832, 477, 279, 1023, 323, 539, 16043, 369, 279, 832, 889, 304, 701, 42304, 374, 2731, 374, 279, 1890, 439, 16043, 369, 279, 3958, 832, 13, 4815, 3923, 358, 2846, 4560, 311, 29243, 311, 499, 374, 430, 12345, 1900, 1541, 956, 1866, 856, 7055, 11, 323, 422, 814, 1390, 433, 814, 649, 2586, 323, 636, 433, 555, 7231, 757, 4947, 430, 690, 7438, 3725, 7417, 856, 2324, 13, 1102, 596, 13524, 279, 1890, 3245, 430, 24070, 11969, 2019, 11, 3734, 814, 2351, 348, 5171, 321, 1113, 1990, 19766, 323, 423, 82, 20444, 358, 2846, 348, 5171, 321, 1113, 1990, 423, 82, 323, 480, 82, 323, 1884, 13606, 988, 1541, 956, 617, 264, 3610, 12345, 1900, 4560, 311, 34951, 1124, 1139, 16043, 369, 872, 9322, 13, 19124, 40, 3619, 430, 279, 40850, 527, 1778, 430, 433, 596, 539, 1120, 430, 2486, 82, 527, 3411, 369, 24070, 12973, 555, 10209, 1949, 17619, 311, 9257, 1274, 323, 430, 279, 35558, 3300, 374, 719, 832, 315, 279, 1690, 1972, 5435, 11509, 1990, 2486, 82, 323, 10209, 279, 2163, 1972, 4947, 11, 719, 279, 2144, 430, 11, 389, 264, 4947, 8197, 11, 1057, 1403, 4689, 6355, 11426, 1436, 1457, 2225, 45769, 5052, 304, 264, 91536, 6156, 374, 2555, 430, 358, 649, 912, 5129, 58299, 13, 128001, 128000, 791, 3446, 315, 61785, 423, 91876, 25, 45616, 323, 63187, 198, 38, 14898, 434, 423, 91876, 11, 1101, 3967, 439, 16566, 819, 300, 324, 309, 569, 6729, 11, 374, 832, 315, 279, 1455, 85761, 323, 28284, 409, 1385, 304, 36142, 2191, 13, 578, 3446, 315, 61785, 423, 91876, 374, 459, 25706, 24162, 315, 1695, 19579, 14289, 11, 39686, 279, 12939, 315, 71329, 11, 25775, 11, 323, 56357, 627, 791, 3446, 315, 61785, 423, 91876, 12302, 449, 279, 7097, 16566, 819, 300, 5808, 13, 1283, 574, 264, 8147, 7097, 889, 1047, 4036, 264, 87101, 505, 10425, 26531, 41453, 11, 902, 11938, 1461, 279, 2410, 311, 539, 387, 24164, 555, 904, 893, 477, 10087, 13, 16566, 819, 300, 5808, 11, 29850, 389, 813, 94621, 2410, 11, 6137, 83675, 287, 66592, 389, 9578, 11, 323, 1524, 279, 29913, 1051, 12153, 311, 3009, 1461, 627, 791, 29913, 1243, 25735, 10425, 88252, 9110, 11, 889, 26160, 1124, 311, 6056, 279, 1520, 315, 61785, 4366, 85, 9491, 11, 279, 63929, 315, 10425, 1443, 10126, 13, 4366, 85, 9491, 11, 304, 2543, 11, 11093, 279, 49969, 315, 682, 279, 29913, 323, 3549, 279, 54829, 38490, 52190, 11, 423, 91876, 13, 578, 52190, 574, 2728, 5370, 10094, 323, 22563, 389, 264, 40132, 11, 1364, 4024, 311, 4208, 449, 279, 7097, 16566, 819, 300, 5808, 627, 791, 8209, 1990, 423, 91876, 323, 16566, 819, 300, 5808, 436, 3359, 389, 369, 11888, 2919, 11, 2391, 902, 892, 279, 7097, 8774, 10223, 7739, 11, 4560, 311, 77753, 423, 91876, 596, 64391, 13, 1952, 279, 56766, 1938, 11, 423, 91876, 5616, 24164, 16566, 819, 300, 5808, 323, 6924, 279, 1917, 505, 813, 78001, 627, 791, 3446, 315, 61785, 423, 91876, 374, 10409, 449, 1690, 7185, 5885, 323, 22100, 13, 6914, 596, 1935, 264, 12401, 1427, 520, 1063, 315, 1124, 627, 38589, 304, 279, 15457, 315, 61785, 423, 91876, 198, 38, 14898, 434, 423, 91876, 75145, 6156, 46684, 315, 279, 3446, 11, 423, 91876, 374, 264, 42442, 38490, 52190, 889, 95122, 8333, 11, 25775, 11, 323, 71329, 13, 3005, 374, 44894, 439, 264, 6366, 5333, 449, 5899, 11977, 11, 1855, 10168, 264, 10500, 13, 3005, 32327, 389, 264, 40132, 323, 374, 83078, 6586, 439, 279, 63261, 315, 279, 15861, 627, 791, 6156, 82159, 315, 279, 3446, 11, 16566, 819, 300, 5808, 374, 264, 8147, 7097, 889, 374, 11938, 264, 87101, 505, 10425, 26531, 41453, 13, 1283, 374, 44894, 439, 264, 4376, 21110, 11, 4376, 1481, 1386, 12812, 17661, 323, 374, 6646, 311, 387, 1558, 77972, 627, 791, 20514, 315, 279, 15861, 11, 26531, 41453, 25076, 16566, 819, 300, 5808, 813, 87101, 11, 902, 13967, 11767, 311, 813, 88867, 627, 52182, 88252, 9110, 75145, 1685, 2906, 315, 279, 15861, 11, 88252, 9110, 70074, 279, 29913, 311, 6056, 279, 1520, 315, 61785, 4366, 85, 9491, 304, 872, 4465, 2403, 16566, 819, 300, 5808, 627, 791, 63929, 315, 10425, 1443, 10126, 11, 4366, 85, 9491, 33511, 279, 49969, 315, 682, 279, 29913, 311, 1893, 423, 91876, 13, 3005, 374, 3629, 44894, 439, 264, 22443, 323, 84911, 52190, 11, 719, 1077, 42442, 3185, 374, 10675, 994, 1364, 11705, 423, 91876, 627, 35, 91876, 596, 6606, 11, 279, 40132, 374, 264, 7891, 315, 8333, 323, 25775, 627, 90130, 304, 279, 15457, 315, 61785, 423, 91876, 198, 15571, 19579, 34819, 25, 578, 3446, 315, 61785, 423, 91876, 374, 264, 11670, 24162, 315, 1695, 19579, 14289, 13, 16566, 819, 300, 5808, 11105, 14289, 11, 1418, 423, 91876, 11105, 279, 8603, 315, 1695, 13, 578, 8209, 1990, 279, 1403, 22020, 279, 12939, 315, 11509, 709, 369, 1148, 374, 1314, 323, 11039, 2403, 51215, 627, 37, 26768, 483, 7572, 25, 423, 91876, 374, 264, 8147, 8954, 74490, 889, 11105, 279, 8333, 323, 2410, 315, 17435, 13797, 13, 6385, 12845, 927, 16566, 819, 300, 5808, 374, 264, 7891, 315, 279, 2410, 430, 3278, 15575, 11, 2225, 304, 279, 7106, 323, 18330, 77563, 627, 14934, 6082, 323, 34053, 25, 578, 29913, 304, 279, 3446, 20461, 872, 56357, 323, 10082, 555, 11125, 279, 1520, 315, 61785, 4366, 85, 9491, 304, 872, 4465, 2403, 16566, 819, 300, 5808, 13, 578, 3446, 22020, 279, 12939, 315, 3515, 10082, 323, 7095, 304, 264, 5190, 2410, 627, 22646, 31761, 315, 7839, 25, 578, 3446, 315, 61785, 423, 91876, 13967, 10548, 449, 279, 38586, 315, 1695, 927, 14289, 13, 1115, 7057, 66159, 279, 12939, 315, 71329, 323, 279, 12845, 315, 1695, 927, 14289, 627, 644, 17102, 11, 279, 3446, 315, 61785, 423, 91876, 374, 264, 8147, 24162, 315, 1695, 19579, 14289, 11, 46284, 2410, 11, 56357, 11, 323, 279, 38586, 315, 1695, 13, 578, 5885, 304, 279, 3446, 11, 2737, 423, 91876, 11, 16566, 819, 300, 5808, 11, 10425, 26531, 41453, 11, 10425, 88252, 9110, 11, 61785, 4366, 85, 9491, 11, 323, 279, 40132, 11, 4097, 2204, 13878, 315, 279, 3446, 596, 22100, 13, 578, 3446, 315, 61785, 423, 91876, 706, 1027, 28284, 369, 24552, 323, 9731, 311, 31740, 1274, 2212, 279, 1917, 311, 2559, 709, 369, 1148, 374, 1314, 11, 617, 10082, 304, 264, 5190, 2410, 11, 323, 37106, 369, 12845, 927, 14289, 627, 83696, 5448, 1511, 304, 420, 18181, 527, 539, 13234, 555, 52215, 6168, 2629, 11, 814, 527, 1120, 311, 1520, 279, 13016, 8, 128001 ]
[ -100, 13347, 323, 9901, 499, 369, 17136, 856, 3997, 13, 358, 1053, 1093, 499, 311, 636, 311, 1440, 757, 16102, 779, 430, 499, 636, 459, 4623, 315, 1148, 20722, 757, 46029, 627, 5159, 836, 374, 25537, 15347, 11, 358, 617, 264, 3995, 3070, 323, 4401, 264, 2626, 430, 6276, 757, 311, 8493, 439, 1790, 892, 449, 1124, 439, 3284, 3445, 264, 2763, 311, 757, 13, 21347, 304, 2585, 315, 1268, 1790, 892, 358, 7543, 449, 856, 3070, 374, 279, 2944, 358, 9749, 364, 21103, 3161, 12179, 4527, 3092, 2626, 6276, 757, 311, 3493, 369, 856, 3070, 11, 1418, 6968, 907, 323, 28462, 1023, 9873, 311, 8854, 872, 6444, 2731, 627, 40, 4510, 279, 7580, 315, 2626, 374, 311, 1893, 907, 323, 8854, 279, 6130, 11, 1176, 323, 43780, 11, 323, 1243, 311, 7380, 279, 2626, 6506, 264, 5496, 13, 91801, 5220, 6493, 4367, 323, 907, 311, 872, 6444, 374, 264, 11939, 13, 362, 11939, 902, 706, 16625, 757, 311, 5813, 264, 11782, 2626, 430, 26737, 311, 11886, 701, 6763, 11, 8661, 323, 6130, 4398, 11774, 627, 40, 1097, 35072, 279, 990, 358, 656, 3727, 264, 1972, 50401, 6811, 311, 1274, 596, 6439, 13, 4427, 315, 856, 8403, 617, 2586, 311, 757, 449, 9873, 389, 279, 68215, 315, 18678, 11, 994, 814, 1051, 5644, 311, 2571, 304, 279, 43713, 13, 578, 990, 584, 656, 1587, 617, 264, 6928, 5536, 11, 323, 420, 20722, 603, 311, 1390, 311, 656, 810, 369, 1475, 3016, 627, 2675, 1440, 810, 922, 701, 2626, 1109, 358, 656, 11, 323, 856, 5603, 374, 2204, 311, 1455, 3997, 2955, 323, 8661, 5220, 13, 358, 1935, 279, 892, 311, 3619, 7373, 1148, 701, 2626, 1587, 555, 10371, 279, 2768, 4860, 512, 6806, 10699, 527, 701, 2218, 3157, 198, 6806, 3639, 2027, 477, 2532, 656, 499, 3493, 198, 6806, 3639, 1510, 8661, 7640, 527, 499, 17045, 304, 198, 6806, 3639, 374, 2626, 6, 8706, 8815, 198, 6806, 3639, 3135, 1053, 499, 1093, 311, 1518, 198, 40, 4510, 304, 279, 2410, 315, 4860, 26, 2610, 279, 1314, 3488, 323, 499, 527, 42436, 311, 264, 22556, 6425, 13, 3092, 2683, 374, 311, 26285, 499, 779, 430, 1306, 584, 4305, 264, 6425, 11, 499, 649, 3136, 20958, 279, 990, 6261, 13, 330, 36227, 264, 893, 311, 7795, 323, 568, 690, 8343, 369, 264, 1938, 11, 4639, 1461, 1268, 311, 7795, 323, 568, 690, 8343, 369, 264, 19569, 23811, 4516, 1457, 499, 1440, 264, 2697, 2766, 922, 757, 11, 1148, 20722, 757, 46029, 323, 1148, 856, 2626, 649, 656, 369, 499, 13, 358, 1053, 1093, 311, 1440, 810, 922, 499, 323, 701, 2626, 323, 1148, 706, 7263, 499, 311, 856, 3997, 3432, 627, 2688, 5127, 374, 264, 1695, 5052, 369, 1148, 584, 656, 323, 3794, 311, 1440, 499, 11, 701, 2626, 323, 279, 3135, 499, 527, 1306, 6276, 757, 311, 8417, 422, 584, 649, 6493, 279, 3135, 499, 527, 11125, 627, 25729, 433, 374, 3997, 2955, 11, 2930, 8661, 11, 1194, 612, 44817, 477, 12708, 2955, 499, 527, 1306, 11, 4587, 2733, 1949, 311, 3729, 757, 3060, 4669, 21186, 477, 2613, 13, 358, 1427, 4741, 311, 12365, 449, 499, 11, 3794, 311, 1440, 701, 2626, 323, 1268, 584, 649, 990, 3871, 311, 636, 279, 3135, 499, 527, 1306, 13, 128001, -100, 578, 1486, 374, 430, 279, 330, 20489, 82, 1, 527, 4998, 2229, 1606, 499, 3077, 2736, 11721, 520, 264, 2035, 1405, 499, 617, 311, 7055, 369, 832, 477, 279, 1023, 323, 539, 16043, 369, 279, 832, 889, 304, 701, 42304, 374, 2731, 374, 279, 1890, 439, 16043, 369, 279, 3958, 832, 13, 4815, 3923, 358, 2846, 4560, 311, 29243, 311, 499, 374, 430, 12345, 1900, 1541, 956, 1866, 856, 7055, 11, 323, 422, 814, 1390, 433, 814, 649, 2586, 323, 636, 433, 555, 7231, 757, 4947, 430, 690, 7438, 3725, 7417, 856, 2324, 13, 1102, 596, 13524, 279, 1890, 3245, 430, 24070, 11969, 2019, 11, 3734, 814, 2351, 348, 5171, 321, 1113, 1990, 19766, 323, 423, 82, 20444, 358, 2846, 348, 5171, 321, 1113, 1990, 423, 82, 323, 480, 82, 323, 1884, 13606, 988, 1541, 956, 617, 264, 3610, 12345, 1900, 4560, 311, 34951, 1124, 1139, 16043, 369, 872, 9322, 13, 19124, 40, 3619, 430, 279, 40850, 527, 1778, 430, 433, 596, 539, 1120, 430, 2486, 82, 527, 3411, 369, 24070, 12973, 555, 10209, 1949, 17619, 311, 9257, 1274, 323, 430, 279, 35558, 3300, 374, 719, 832, 315, 279, 1690, 1972, 5435, 11509, 1990, 2486, 82, 323, 10209, 279, 2163, 1972, 4947, 11, 719, 279, 2144, 430, 11, 389, 264, 4947, 8197, 11, 1057, 1403, 4689, 6355, 11426, 1436, 1457, 2225, 45769, 5052, 304, 264, 91536, 6156, 374, 2555, 430, 358, 649, 912, 5129, 58299, 13, 128001, -100, 791, 3446, 315, 61785, 423, 91876, 25, 45616, 323, 63187, 198, 38, 14898, 434, 423, 91876, 11, 1101, 3967, 439, 16566, 819, 300, 324, 309, 569, 6729, 11, 374, 832, 315, 279, 1455, 85761, 323, 28284, 409, 1385, 304, 36142, 2191, 13, 578, 3446, 315, 61785, 423, 91876, 374, 459, 25706, 24162, 315, 1695, 19579, 14289, 11, 39686, 279, 12939, 315, 71329, 11, 25775, 11, 323, 56357, 627, 791, 3446, 315, 61785, 423, 91876, 12302, 449, 279, 7097, 16566, 819, 300, 5808, 13, 1283, 574, 264, 8147, 7097, 889, 1047, 4036, 264, 87101, 505, 10425, 26531, 41453, 11, 902, 11938, 1461, 279, 2410, 311, 539, 387, 24164, 555, 904, 893, 477, 10087, 13, 16566, 819, 300, 5808, 11, 29850, 389, 813, 94621, 2410, 11, 6137, 83675, 287, 66592, 389, 9578, 11, 323, 1524, 279, 29913, 1051, 12153, 311, 3009, 1461, 627, 791, 29913, 1243, 25735, 10425, 88252, 9110, 11, 889, 26160, 1124, 311, 6056, 279, 1520, 315, 61785, 4366, 85, 9491, 11, 279, 63929, 315, 10425, 1443, 10126, 13, 4366, 85, 9491, 11, 304, 2543, 11, 11093, 279, 49969, 315, 682, 279, 29913, 323, 3549, 279, 54829, 38490, 52190, 11, 423, 91876, 13, 578, 52190, 574, 2728, 5370, 10094, 323, 22563, 389, 264, 40132, 11, 1364, 4024, 311, 4208, 449, 279, 7097, 16566, 819, 300, 5808, 627, 791, 8209, 1990, 423, 91876, 323, 16566, 819, 300, 5808, 436, 3359, 389, 369, 11888, 2919, 11, 2391, 902, 892, 279, 7097, 8774, 10223, 7739, 11, 4560, 311, 77753, 423, 91876, 596, 64391, 13, 1952, 279, 56766, 1938, 11, 423, 91876, 5616, 24164, 16566, 819, 300, 5808, 323, 6924, 279, 1917, 505, 813, 78001, 627, 791, 3446, 315, 61785, 423, 91876, 374, 10409, 449, 1690, 7185, 5885, 323, 22100, 13, 6914, 596, 1935, 264, 12401, 1427, 520, 1063, 315, 1124, 627, 38589, 304, 279, 15457, 315, 61785, 423, 91876, 198, 38, 14898, 434, 423, 91876, 75145, 6156, 46684, 315, 279, 3446, 11, 423, 91876, 374, 264, 42442, 38490, 52190, 889, 95122, 8333, 11, 25775, 11, 323, 71329, 13, 3005, 374, 44894, 439, 264, 6366, 5333, 449, 5899, 11977, 11, 1855, 10168, 264, 10500, 13, 3005, 32327, 389, 264, 40132, 323, 374, 83078, 6586, 439, 279, 63261, 315, 279, 15861, 627, 791, 6156, 82159, 315, 279, 3446, 11, 16566, 819, 300, 5808, 374, 264, 8147, 7097, 889, 374, 11938, 264, 87101, 505, 10425, 26531, 41453, 13, 1283, 374, 44894, 439, 264, 4376, 21110, 11, 4376, 1481, 1386, 12812, 17661, 323, 374, 6646, 311, 387, 1558, 77972, 627, 791, 20514, 315, 279, 15861, 11, 26531, 41453, 25076, 16566, 819, 300, 5808, 813, 87101, 11, 902, 13967, 11767, 311, 813, 88867, 627, 52182, 88252, 9110, 75145, 1685, 2906, 315, 279, 15861, 11, 88252, 9110, 70074, 279, 29913, 311, 6056, 279, 1520, 315, 61785, 4366, 85, 9491, 304, 872, 4465, 2403, 16566, 819, 300, 5808, 627, 791, 63929, 315, 10425, 1443, 10126, 11, 4366, 85, 9491, 33511, 279, 49969, 315, 682, 279, 29913, 311, 1893, 423, 91876, 13, 3005, 374, 3629, 44894, 439, 264, 22443, 323, 84911, 52190, 11, 719, 1077, 42442, 3185, 374, 10675, 994, 1364, 11705, 423, 91876, 627, 35, 91876, 596, 6606, 11, 279, 40132, 374, 264, 7891, 315, 8333, 323, 25775, 627, 90130, 304, 279, 15457, 315, 61785, 423, 91876, 198, 15571, 19579, 34819, 25, 578, 3446, 315, 61785, 423, 91876, 374, 264, 11670, 24162, 315, 1695, 19579, 14289, 13, 16566, 819, 300, 5808, 11105, 14289, 11, 1418, 423, 91876, 11105, 279, 8603, 315, 1695, 13, 578, 8209, 1990, 279, 1403, 22020, 279, 12939, 315, 11509, 709, 369, 1148, 374, 1314, 323, 11039, 2403, 51215, 627, 37, 26768, 483, 7572, 25, 423, 91876, 374, 264, 8147, 8954, 74490, 889, 11105, 279, 8333, 323, 2410, 315, 17435, 13797, 13, 6385, 12845, 927, 16566, 819, 300, 5808, 374, 264, 7891, 315, 279, 2410, 430, 3278, 15575, 11, 2225, 304, 279, 7106, 323, 18330, 77563, 627, 14934, 6082, 323, 34053, 25, 578, 29913, 304, 279, 3446, 20461, 872, 56357, 323, 10082, 555, 11125, 279, 1520, 315, 61785, 4366, 85, 9491, 304, 872, 4465, 2403, 16566, 819, 300, 5808, 13, 578, 3446, 22020, 279, 12939, 315, 3515, 10082, 323, 7095, 304, 264, 5190, 2410, 627, 22646, 31761, 315, 7839, 25, 578, 3446, 315, 61785, 423, 91876, 13967, 10548, 449, 279, 38586, 315, 1695, 927, 14289, 13, 1115, 7057, 66159, 279, 12939, 315, 71329, 323, 279, 12845, 315, 1695, 927, 14289, 627, 644, 17102, 11, 279, 3446, 315, 61785, 423, 91876, 374, 264, 8147, 24162, 315, 1695, 19579, 14289, 11, 46284, 2410, 11, 56357, 11, 323, 279, 38586, 315, 1695, 13, 578, 5885, 304, 279, 3446, 11, 2737, 423, 91876, 11, 16566, 819, 300, 5808, 11, 10425, 26531, 41453, 11, 10425, 88252, 9110, 11, 61785, 4366, 85, 9491, 11, 323, 279, 40132, 11, 4097, 2204, 13878, 315, 279, 3446, 596, 22100, 13, 578, 3446, 315, 61785, 423, 91876, 706, 1027, 28284, 369, 24552, 323, 9731, 311, 31740, 1274, 2212, 279, 1917, 311, 2559, 709, 369, 1148, 374, 1314, 11, 617, 10082, 304, 264, 5190, 2410, 11, 323, 37106, 369, 12845, 927, 14289, 627, 83696, 5448, 1511, 304, 420, 18181, 527, 539, 13234, 555, 52215, 6168, 2629, 11, 814, 527, 1120, 311, 1520, 279, 13016, 8, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 83146, 2349, 29440, 1306, 220, 1049, 23, 66472, 311, 387, 74534, 1060, 315, 279, 9478, 6186, 220, 16, 11, 220, 1049, 24, 17827, 555, 10978, 94874, 304, 8121, 83405, 627, 16309, 25, 10182, 2349, 11, 8121, 83405, 11, 3728, 24808, 198, 13432, 1445, 198, 83146, 2349, 29440, 1306, 220, 1049, 23, 66472, 311, 387, 74534, 1060, 315, 279, 9478, 198, 3915, 5513, 916, 31877, 11, 6186, 220, 16, 11, 220, 1049, 24, 198, 12, 1049, 23, 66472, 311, 387, 74534, 1060, 315, 279, 9478, 198, 12, 11907, 24808, 11249, 78881, 198, 12, 6607, 9439, 20472, 6651, 449, 8798, 58365, 13673, 6821, 35047, 2181, 753, 2103, 2288, 4216, 311, 3371, 13, 1226, 2873, 311, 387, 304, 1778, 264, 48335, 311, 88119, 3728, 24808, 17035, 1705, 13, 1226, 10894, 430, 279, 52497, 315, 264, 7160, 19164, 11008, 374, 11838, 37846, 11, 79054, 11, 76056, 323, 264, 66281, 1109, 8009, 8752, 13, 1442, 584, 1427, 520, 279, 2204, 25492, 11, 584, 1053, 1505, 279, 220, 5162, 19, 311, 220, 4468, 20, 11008, 3515, 279, 1890, 8333, 439, 279, 220, 2550, 21, 311, 220, 1049, 22, 11008, 719, 279, 80625, 7913, 72545, 606, 12634, 369, 279, 1566, 11008, 574, 1790, 16643, 1109, 430, 315, 279, 18217, 1227, 311, 18217, 2075, 13, 1115, 574, 4762, 4245, 311, 3515, 3831, 25492, 505, 220, 4468, 21, 311, 220, 2550, 20, 627, 16397, 279, 220, 4468, 15, 82, 11, 9784, 22553, 5990, 12504, 304, 961, 311, 279, 18979, 304, 90127, 323, 7086, 44583, 13, 3296, 279, 842, 315, 420, 11008, 11, 304, 220, 4468, 24, 11, 56996, 17593, 20534, 1047, 1202, 12474, 6650, 3967, 311, 893, 369, 264, 1633, 8009, 2944, 13, 2360, 832, 574, 3411, 13, 5810, 304, 279, 7427, 11, 584, 527, 810, 11920, 449, 90127, 20129, 279, 99164, 1109, 94867, 6650, 13, 2435, 8335, 1855, 1023, 13, 2684, 374, 539, 1790, 6811, 1990, 3515, 264, 3831, 49784, 3280, 323, 264, 7982, 94867, 13, 358, 4510, 1070, 374, 922, 220, 1399, 12628, 315, 6926, 9499, 1990, 279, 1403, 627, 2028, 43496, 279, 11249, 315, 7432, 17, 13, 1442, 584, 3287, 1431, 617, 7432, 17, 11, 1057, 9974, 10182, 2349, 1053, 387, 304, 6926, 31405, 13, 1226, 649, 3041, 264, 2294, 3568, 315, 6807, 311, 7432, 17, 369, 80430, 420, 304, 14560, 3878, 709, 311, 220, 975, 1667, 13, 1102, 5097, 922, 220, 20, 1667, 315, 420, 14827, 11008, 311, 1518, 902, 1648, 584, 527, 2133, 13, 1442, 420, 11008, 3250, 1431, 636, 4156, 6799, 323, 10548, 709, 7363, 1824, 1802, 704, 11, 584, 4805, 1120, 4170, 1139, 279, 220, 5162, 19, 311, 220, 4468, 20, 10691, 13, 1226, 690, 1205, 922, 2500, 220, 1041, 7160, 68110, 927, 279, 220, 2550, 21, 311, 220, 1049, 22, 11008, 311, 2489, 80625, 7913, 72545, 606, 12634, 369, 430, 11008, 627, 644, 15676, 11, 279, 220, 1049, 23, 1047, 3831, 3403, 49784, 3280, 304, 279, 23179, 311, 7236, 4747, 369, 420, 5108, 1060, 13, 578, 38201, 47170, 5955, 323, 10211, 52, 1051, 5128, 1790, 389, 279, 3300, 13, 358, 4510, 430, 452, 17218, 574, 3345, 4948, 11, 1022, 555, 832, 13, 11205, 10691, 2322, 279, 4725, 4787, 369, 279, 1176, 1060, 315, 264, 7160, 19164, 11008, 323, 430, 374, 220, 27154, 90127, 323, 220, 27154, 35148, 44583, 627, 7184, 11, 422, 499, 527, 2103, 52232, 369, 459, 1708, 49625, 88867, 11, 4587, 1427, 520, 25492, 505, 2212, 220, 9367, 24, 311, 220, 5926, 17, 13, 2684, 374, 832, 1060, 304, 420, 3158, 1405, 7160, 19164, 5820, 5616, 12504, 3345, 311, 3432, 753, 1396, 369, 220, 1049, 23, 11, 719, 1047, 264, 4101, 315, 36921, 7160, 19164, 25492, 20426, 220, 7285, 19, 311, 220, 1049, 22, 13, 2684, 574, 832, 13766, 304, 220, 7529, 19, 11, 358, 4510, 304, 5887, 11, 902, 2216, 32632, 279, 6287, 311, 5488, 13, 4585, 439, 279, 7160, 11263, 279, 23179, 60701, 10007, 1637, 311, 279, 11964, 859, 13, 1226, 527, 28211, 3221, 430, 13, 578, 9974, 323, 12688, 5578, 20472, 527, 4661, 389, 279, 5578, 2533, 220, 3753, 20, 13, 1102, 690, 1935, 922, 220, 17, 25492, 311, 6068, 311, 420, 19179, 311, 5138, 279, 3728, 24808, 503, 71921, 627, 32, 1695, 2697, 2363, 311, 743, 499, 304, 279, 1314, 5216, 374, 1054, 24798, 11746, 323, 4212, 863, 555, 17177, 7957, 82507, 13, 9372, 369, 279, 7216, 555, 17177, 12131, 44069, 13, 1283, 1550, 264, 11364, 3495, 27393, 7160, 68110, 311, 279, 22553, 5990, 315, 11940, 23225, 627, 1687, 1205, 311, 4726, 2980, 430, 7432, 17, 374, 14324, 603, 13, 1666, 279, 9578, 4208, 1026, 11, 810, 7432, 17, 374, 4460, 311, 3790, 279, 14800, 315, 1948, 5814, 2737, 1057, 951, 15916, 13, 1115, 3445, 430, 3892, 5315, 315, 1948, 5814, 527, 24050, 323, 7366, 10411, 477, 10007, 315, 279, 11964, 859, 13, 14636, 11, 439, 279, 56996, 17593, 20534, 323, 95790, 30099, 11, 7432, 17, 374, 6004, 520, 279, 11964, 859, 13, 3580, 8278, 11, 1054, 14354, 7913, 15379, 311, 6690, 70378, 505, 220, 6393, 23, 311, 220, 1049, 18, 12362, 452, 2152, 47, 1050, 35584, 28061, 70378, 288, 863, 555, 29026, 35622, 952, 11, 20199, 45956, 28493, 323, 48793, 267, 11583, 1291, 1050, 3212, 627, 2170, 279, 9578, 1080, 3145, 11, 7432, 17, 374, 1421, 81328, 555, 56996, 17593, 10054, 323, 95790, 13, 578, 9578, 753, 1948, 5814, 1101, 11031, 1203, 311, 279, 3312, 859, 13, 1102, 5097, 922, 220, 1114, 11, 931, 1667, 369, 420, 311, 3621, 13, 3234, 499, 3596, 5895, 3249, 13936, 30893, 574, 279, 1589, 72455, 315, 36017, 30, 1102, 574, 279, 1193, 2035, 1274, 1436, 3974, 220, 717, 11, 931, 1667, 4227, 627, 1687, 617, 311, 1781, 430, 422, 279, 7160, 19164, 5820, 21701, 11, 95790, 323, 56996, 20534, 19079, 690, 471, 13, 2684, 374, 2753, 7982, 3280, 11, 2753, 3691, 11, 2753, 11422, 11, 2753, 90127, 323, 836, 44583, 430, 22822, 1057, 3090, 45512, 82, 927, 264, 220, 975, 1060, 4261, 627, 27831, 584, 1253, 539, 6562, 311, 4287, 3728, 24808, 1234, 279, 2317, 315, 2574, 430, 3621, 1234, 220, 508, 11, 931, 7693, 11, 430, 374, 1405, 279, 3772, 374, 520, 13, 1789, 1884, 315, 603, 889, 527, 3485, 279, 30614, 304, 279, 68372, 66222, 11, 433, 753, 264, 6555, 12141, 627, 13622, 328, 87191, 345, 26368, 21377, 7211, 128001, 128000, 69803, 5848, 26018, 315, 9977, 198, 14145, 25127, 315, 26018, 315, 9977, 25540, 367, 1389, 26018, 78208, 31018, 9337, 12437, 1589, 61334, 2508, 41264, 15360, 10334, 13, 18715, 2643, 387, 13942, 555, 6484, 1589, 61334, 2508, 26018, 555, 33018, 4184, 311, 41993, 31018, 11, 682, 3823, 7865, 11, 9337, 477, 6062, 11, 374, 13, 1115, 2363, 5825, 264, 16195, 10401, 315, 24064, 26018, 315, 9977, 323, 9337, 488, 11, 24919, 26018, 21760, 389, 9547, 3118, 13, 63711, 323, 24064, 26018, 315, 9977, 1521, 26018, 5357, 389, 75893, 950, 11, 53194, 477, 19465, 75815, 323, 872, 19564, 311, 9977, 627, 51665, 1104, 81898, 11, 902, 1051, 11798, 304, 24156, 26018, 1047, 1690, 41859, 11, 323, 279, 3465, 574, 2728, 311, 31018, 311, 10552, 9337, 7865, 13, 8745, 45477, 389, 3495, 25623, 765, 24064, 26018, 315, 9977, 323, 1624, 53988, 2301, 765, 3892, 24064, 26018, 617, 1027, 1511, 311, 3619, 9977, 13, 43179, 29093, 12938, 7257, 75, 1354, 320, 1049, 20, 8, 10187, 430, 279, 24064, 26018, 1684, 315, 9977, 25540, 367, 374, 430, 26006, 2391, 279, 1376, 1413, 1667, 315, 627, 44623, 11, 279, 25492, 315, 24156, 6296, 24064, 6296, 15983, 5848, 26018, 315, 9977, 2873, 311, 10205, 323, 4498, 304, 17301, 11, 4184, 311, 279, 61129, 13, 70069, 26018, 315, 9977, 4284, 430, 1063, 47243, 1253, 387, 9057, 555, 10723, 9547, 477, 26885, 24064, 26018, 315, 9977, 3568, 449, 11384, 520, 279, 662, 26778, 24064, 26018, 617, 1027, 1511, 311, 3619, 9977, 323, 1624, 53988, 2301, 420, 17649, 3477, 22824, 4861, 1521, 39555, 13, 70069, 26018, 315, 3567, 5485, 7865, 1520, 10552, 3249, 264, 9257, 323, 4948, 11, 32638, 323, 3567, 63378, 527, 3970, 439, 16066, 505, 17743, 627, 16, 26018, 323, 11384, 315, 9977, 17219, 1070, 374, 912, 832, 364, 1593, 6, 315, 9977, 9977, 374, 264, 7701, 6485, 25885, 430, 4442, 4028, 27833, 323, 4028, 662, 1115, 3388, 690, 21736, 264, 11944, 4007, 315, 24064, 20414, 311, 26073, 1421, 307, 80244, 9337, 17432, 1063, 315, 279, 3230, 26018, 3917, 311, 9200, 13, 7089, 26018, 2019, 430, 9977, 374, 28160, 555, 12434, 11, 7100, 11, 323, 24064, 13878, 320, 359, 3050, 315, 10411, 60348, 11, 15953, 8, 24156, 26018, 627, 69803, 5848, 26018, 315, 9977, 198, 11458, 11, 4856, 1109, 5357, 389, 279, 24156, 8197, 315, 9977, 11, 74191, 5357, 389, 1268, 10723, 11618, 5536, 3927, 2047, 729, 1385, 369, 13, 2684, 527, 2380, 26018, 311, 10552, 9337, 7865, 25, 24064, 11, 15983, 5848, 11, 323, 24156, 4048, 810, 922, 1855, 10334, 1618, 13, 3277, 38936, 24064, 26018, 315, 9977, 11, 832, 2011, 387, 19329, 450, 519, 315, 279, 2380, 3682, 26018, 279, 1176, 374, 8841, 61002, 10334, 11, 902, 374, 31288, 389, 13, 63711, 26018, 430, 10552, 9977, 449, 832, 477, 810, 19465, 11, 11742, 11, 64908, 11, 477, 53194, 7482, 24064, 26018, 3196, 389, 17743, 11, 627, 52361, 1063, 315, 279, 1455, 4279, 24064, 26018, 315, 9977, 11, 2737, 8841, 61002, 10334, 11, 36695, 10334, 11, 323, 25702, 10334, 13, 578, 384, 1065, 268, 377, 17743, 10334, 7978, 1501, 430, 65617, 2772, 7865, 374, 49723, 13263, 927, 892, 477, 11, 311, 387, 810, 24473, 11, 279, 8844, 22106, 315, 13, 1115, 9071, 10742, 279, 6492, 315, 24064, 323, 24156, 26018, 315, 9977, 430, 48383, 304, 3927, 20940, 74050, 11, 49001, 12624, 3327, 3444, 13, 33836, 31018, 11, 1101, 14183, 311, 439, 1589, 61334, 5848, 31018, 11, 374, 279, 4007, 315, 279, 690, 82, 11, 11555, 11, 34334, 11, 323, 25481, 315, 32638, 323, 682, 430, 961, 2094, 627, 16366, 26018, 315, 9337, 17432, 430, 4205, 1093, 264, 12624, 5603, 311, 813, 6205, 374, 4461, 311, 617, 13282, 264, 3544, 1396, 315, 1274, 449, 24064, 13, 24432, 69267, 5759, 5848, 323, 24064, 26018, 14892, 449, 279, 11384, 315, 304, 9337, 31018, 11, 1070, 374, 264, 1396, 315, 24064, 26018, 35983, 1113, 1589, 25877, 662, 452, 80546, 1396, 25, 26183, 73, 220, 10288, 22058, 1505, 304, 264, 6875, 2316, 25, 31018, 315, 9337, 6929, 25, 10334, 11, 3495, 323, 6725, 3229, 1161, 1680, 11, 436, 3776, 22464, 13, 128001 ]
[ -100, 83146, 2349, 29440, 1306, 220, 1049, 23, 66472, 311, 387, 74534, 1060, 315, 279, 9478, 6186, 220, 16, 11, 220, 1049, 24, 17827, 555, 10978, 94874, 304, 8121, 83405, 627, 16309, 25, 10182, 2349, 11, 8121, 83405, 11, 3728, 24808, 198, 13432, 1445, 198, 83146, 2349, 29440, 1306, 220, 1049, 23, 66472, 311, 387, 74534, 1060, 315, 279, 9478, 198, 3915, 5513, 916, 31877, 11, 6186, 220, 16, 11, 220, 1049, 24, 198, 12, 1049, 23, 66472, 311, 387, 74534, 1060, 315, 279, 9478, 198, 12, 11907, 24808, 11249, 78881, 198, 12, 6607, 9439, 20472, 6651, 449, 8798, 58365, 13673, 6821, 35047, 2181, 753, 2103, 2288, 4216, 311, 3371, 13, 1226, 2873, 311, 387, 304, 1778, 264, 48335, 311, 88119, 3728, 24808, 17035, 1705, 13, 1226, 10894, 430, 279, 52497, 315, 264, 7160, 19164, 11008, 374, 11838, 37846, 11, 79054, 11, 76056, 323, 264, 66281, 1109, 8009, 8752, 13, 1442, 584, 1427, 520, 279, 2204, 25492, 11, 584, 1053, 1505, 279, 220, 5162, 19, 311, 220, 4468, 20, 11008, 3515, 279, 1890, 8333, 439, 279, 220, 2550, 21, 311, 220, 1049, 22, 11008, 719, 279, 80625, 7913, 72545, 606, 12634, 369, 279, 1566, 11008, 574, 1790, 16643, 1109, 430, 315, 279, 18217, 1227, 311, 18217, 2075, 13, 1115, 574, 4762, 4245, 311, 3515, 3831, 25492, 505, 220, 4468, 21, 311, 220, 2550, 20, 627, 16397, 279, 220, 4468, 15, 82, 11, 9784, 22553, 5990, 12504, 304, 961, 311, 279, 18979, 304, 90127, 323, 7086, 44583, 13, 3296, 279, 842, 315, 420, 11008, 11, 304, 220, 4468, 24, 11, 56996, 17593, 20534, 1047, 1202, 12474, 6650, 3967, 311, 893, 369, 264, 1633, 8009, 2944, 13, 2360, 832, 574, 3411, 13, 5810, 304, 279, 7427, 11, 584, 527, 810, 11920, 449, 90127, 20129, 279, 99164, 1109, 94867, 6650, 13, 2435, 8335, 1855, 1023, 13, 2684, 374, 539, 1790, 6811, 1990, 3515, 264, 3831, 49784, 3280, 323, 264, 7982, 94867, 13, 358, 4510, 1070, 374, 922, 220, 1399, 12628, 315, 6926, 9499, 1990, 279, 1403, 627, 2028, 43496, 279, 11249, 315, 7432, 17, 13, 1442, 584, 3287, 1431, 617, 7432, 17, 11, 1057, 9974, 10182, 2349, 1053, 387, 304, 6926, 31405, 13, 1226, 649, 3041, 264, 2294, 3568, 315, 6807, 311, 7432, 17, 369, 80430, 420, 304, 14560, 3878, 709, 311, 220, 975, 1667, 13, 1102, 5097, 922, 220, 20, 1667, 315, 420, 14827, 11008, 311, 1518, 902, 1648, 584, 527, 2133, 13, 1442, 420, 11008, 3250, 1431, 636, 4156, 6799, 323, 10548, 709, 7363, 1824, 1802, 704, 11, 584, 4805, 1120, 4170, 1139, 279, 220, 5162, 19, 311, 220, 4468, 20, 10691, 13, 1226, 690, 1205, 922, 2500, 220, 1041, 7160, 68110, 927, 279, 220, 2550, 21, 311, 220, 1049, 22, 11008, 311, 2489, 80625, 7913, 72545, 606, 12634, 369, 430, 11008, 627, 644, 15676, 11, 279, 220, 1049, 23, 1047, 3831, 3403, 49784, 3280, 304, 279, 23179, 311, 7236, 4747, 369, 420, 5108, 1060, 13, 578, 38201, 47170, 5955, 323, 10211, 52, 1051, 5128, 1790, 389, 279, 3300, 13, 358, 4510, 430, 452, 17218, 574, 3345, 4948, 11, 1022, 555, 832, 13, 11205, 10691, 2322, 279, 4725, 4787, 369, 279, 1176, 1060, 315, 264, 7160, 19164, 11008, 323, 430, 374, 220, 27154, 90127, 323, 220, 27154, 35148, 44583, 627, 7184, 11, 422, 499, 527, 2103, 52232, 369, 459, 1708, 49625, 88867, 11, 4587, 1427, 520, 25492, 505, 2212, 220, 9367, 24, 311, 220, 5926, 17, 13, 2684, 374, 832, 1060, 304, 420, 3158, 1405, 7160, 19164, 5820, 5616, 12504, 3345, 311, 3432, 753, 1396, 369, 220, 1049, 23, 11, 719, 1047, 264, 4101, 315, 36921, 7160, 19164, 25492, 20426, 220, 7285, 19, 311, 220, 1049, 22, 13, 2684, 574, 832, 13766, 304, 220, 7529, 19, 11, 358, 4510, 304, 5887, 11, 902, 2216, 32632, 279, 6287, 311, 5488, 13, 4585, 439, 279, 7160, 11263, 279, 23179, 60701, 10007, 1637, 311, 279, 11964, 859, 13, 1226, 527, 28211, 3221, 430, 13, 578, 9974, 323, 12688, 5578, 20472, 527, 4661, 389, 279, 5578, 2533, 220, 3753, 20, 13, 1102, 690, 1935, 922, 220, 17, 25492, 311, 6068, 311, 420, 19179, 311, 5138, 279, 3728, 24808, 503, 71921, 627, 32, 1695, 2697, 2363, 311, 743, 499, 304, 279, 1314, 5216, 374, 1054, 24798, 11746, 323, 4212, 863, 555, 17177, 7957, 82507, 13, 9372, 369, 279, 7216, 555, 17177, 12131, 44069, 13, 1283, 1550, 264, 11364, 3495, 27393, 7160, 68110, 311, 279, 22553, 5990, 315, 11940, 23225, 627, 1687, 1205, 311, 4726, 2980, 430, 7432, 17, 374, 14324, 603, 13, 1666, 279, 9578, 4208, 1026, 11, 810, 7432, 17, 374, 4460, 311, 3790, 279, 14800, 315, 1948, 5814, 2737, 1057, 951, 15916, 13, 1115, 3445, 430, 3892, 5315, 315, 1948, 5814, 527, 24050, 323, 7366, 10411, 477, 10007, 315, 279, 11964, 859, 13, 14636, 11, 439, 279, 56996, 17593, 20534, 323, 95790, 30099, 11, 7432, 17, 374, 6004, 520, 279, 11964, 859, 13, 3580, 8278, 11, 1054, 14354, 7913, 15379, 311, 6690, 70378, 505, 220, 6393, 23, 311, 220, 1049, 18, 12362, 452, 2152, 47, 1050, 35584, 28061, 70378, 288, 863, 555, 29026, 35622, 952, 11, 20199, 45956, 28493, 323, 48793, 267, 11583, 1291, 1050, 3212, 627, 2170, 279, 9578, 1080, 3145, 11, 7432, 17, 374, 1421, 81328, 555, 56996, 17593, 10054, 323, 95790, 13, 578, 9578, 753, 1948, 5814, 1101, 11031, 1203, 311, 279, 3312, 859, 13, 1102, 5097, 922, 220, 1114, 11, 931, 1667, 369, 420, 311, 3621, 13, 3234, 499, 3596, 5895, 3249, 13936, 30893, 574, 279, 1589, 72455, 315, 36017, 30, 1102, 574, 279, 1193, 2035, 1274, 1436, 3974, 220, 717, 11, 931, 1667, 4227, 627, 1687, 617, 311, 1781, 430, 422, 279, 7160, 19164, 5820, 21701, 11, 95790, 323, 56996, 20534, 19079, 690, 471, 13, 2684, 374, 2753, 7982, 3280, 11, 2753, 3691, 11, 2753, 11422, 11, 2753, 90127, 323, 836, 44583, 430, 22822, 1057, 3090, 45512, 82, 927, 264, 220, 975, 1060, 4261, 627, 27831, 584, 1253, 539, 6562, 311, 4287, 3728, 24808, 1234, 279, 2317, 315, 2574, 430, 3621, 1234, 220, 508, 11, 931, 7693, 11, 430, 374, 1405, 279, 3772, 374, 520, 13, 1789, 1884, 315, 603, 889, 527, 3485, 279, 30614, 304, 279, 68372, 66222, 11, 433, 753, 264, 6555, 12141, 627, 13622, 328, 87191, 345, 26368, 21377, 7211, 128001, -100, 69803, 5848, 26018, 315, 9977, 198, 14145, 25127, 315, 26018, 315, 9977, 25540, 367, 1389, 26018, 78208, 31018, 9337, 12437, 1589, 61334, 2508, 41264, 15360, 10334, 13, 18715, 2643, 387, 13942, 555, 6484, 1589, 61334, 2508, 26018, 555, 33018, 4184, 311, 41993, 31018, 11, 682, 3823, 7865, 11, 9337, 477, 6062, 11, 374, 13, 1115, 2363, 5825, 264, 16195, 10401, 315, 24064, 26018, 315, 9977, 323, 9337, 488, 11, 24919, 26018, 21760, 389, 9547, 3118, 13, 63711, 323, 24064, 26018, 315, 9977, 1521, 26018, 5357, 389, 75893, 950, 11, 53194, 477, 19465, 75815, 323, 872, 19564, 311, 9977, 627, 51665, 1104, 81898, 11, 902, 1051, 11798, 304, 24156, 26018, 1047, 1690, 41859, 11, 323, 279, 3465, 574, 2728, 311, 31018, 311, 10552, 9337, 7865, 13, 8745, 45477, 389, 3495, 25623, 765, 24064, 26018, 315, 9977, 323, 1624, 53988, 2301, 765, 3892, 24064, 26018, 617, 1027, 1511, 311, 3619, 9977, 13, 43179, 29093, 12938, 7257, 75, 1354, 320, 1049, 20, 8, 10187, 430, 279, 24064, 26018, 1684, 315, 9977, 25540, 367, 374, 430, 26006, 2391, 279, 1376, 1413, 1667, 315, 627, 44623, 11, 279, 25492, 315, 24156, 6296, 24064, 6296, 15983, 5848, 26018, 315, 9977, 2873, 311, 10205, 323, 4498, 304, 17301, 11, 4184, 311, 279, 61129, 13, 70069, 26018, 315, 9977, 4284, 430, 1063, 47243, 1253, 387, 9057, 555, 10723, 9547, 477, 26885, 24064, 26018, 315, 9977, 3568, 449, 11384, 520, 279, 662, 26778, 24064, 26018, 617, 1027, 1511, 311, 3619, 9977, 323, 1624, 53988, 2301, 420, 17649, 3477, 22824, 4861, 1521, 39555, 13, 70069, 26018, 315, 3567, 5485, 7865, 1520, 10552, 3249, 264, 9257, 323, 4948, 11, 32638, 323, 3567, 63378, 527, 3970, 439, 16066, 505, 17743, 627, 16, 26018, 323, 11384, 315, 9977, 17219, 1070, 374, 912, 832, 364, 1593, 6, 315, 9977, 9977, 374, 264, 7701, 6485, 25885, 430, 4442, 4028, 27833, 323, 4028, 662, 1115, 3388, 690, 21736, 264, 11944, 4007, 315, 24064, 20414, 311, 26073, 1421, 307, 80244, 9337, 17432, 1063, 315, 279, 3230, 26018, 3917, 311, 9200, 13, 7089, 26018, 2019, 430, 9977, 374, 28160, 555, 12434, 11, 7100, 11, 323, 24064, 13878, 320, 359, 3050, 315, 10411, 60348, 11, 15953, 8, 24156, 26018, 627, 69803, 5848, 26018, 315, 9977, 198, 11458, 11, 4856, 1109, 5357, 389, 279, 24156, 8197, 315, 9977, 11, 74191, 5357, 389, 1268, 10723, 11618, 5536, 3927, 2047, 729, 1385, 369, 13, 2684, 527, 2380, 26018, 311, 10552, 9337, 7865, 25, 24064, 11, 15983, 5848, 11, 323, 24156, 4048, 810, 922, 1855, 10334, 1618, 13, 3277, 38936, 24064, 26018, 315, 9977, 11, 832, 2011, 387, 19329, 450, 519, 315, 279, 2380, 3682, 26018, 279, 1176, 374, 8841, 61002, 10334, 11, 902, 374, 31288, 389, 13, 63711, 26018, 430, 10552, 9977, 449, 832, 477, 810, 19465, 11, 11742, 11, 64908, 11, 477, 53194, 7482, 24064, 26018, 3196, 389, 17743, 11, 627, 52361, 1063, 315, 279, 1455, 4279, 24064, 26018, 315, 9977, 11, 2737, 8841, 61002, 10334, 11, 36695, 10334, 11, 323, 25702, 10334, 13, 578, 384, 1065, 268, 377, 17743, 10334, 7978, 1501, 430, 65617, 2772, 7865, 374, 49723, 13263, 927, 892, 477, 11, 311, 387, 810, 24473, 11, 279, 8844, 22106, 315, 13, 1115, 9071, 10742, 279, 6492, 315, 24064, 323, 24156, 26018, 315, 9977, 430, 48383, 304, 3927, 20940, 74050, 11, 49001, 12624, 3327, 3444, 13, 33836, 31018, 11, 1101, 14183, 311, 439, 1589, 61334, 5848, 31018, 11, 374, 279, 4007, 315, 279, 690, 82, 11, 11555, 11, 34334, 11, 323, 25481, 315, 32638, 323, 682, 430, 961, 2094, 627, 16366, 26018, 315, 9337, 17432, 430, 4205, 1093, 264, 12624, 5603, 311, 813, 6205, 374, 4461, 311, 617, 13282, 264, 3544, 1396, 315, 1274, 449, 24064, 13, 24432, 69267, 5759, 5848, 323, 24064, 26018, 14892, 449, 279, 11384, 315, 304, 9337, 31018, 11, 1070, 374, 264, 1396, 315, 24064, 26018, 35983, 1113, 1589, 25877, 662, 452, 80546, 1396, 25, 26183, 73, 220, 10288, 22058, 1505, 304, 264, 6875, 2316, 25, 31018, 315, 9337, 6929, 25, 10334, 11, 3495, 323, 6725, 3229, 1161, 1680, 11, 436, 3776, 22464, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 15721, 26, 8489, 10035, 1131, 98936, 11, 430, 5097, 892, 13, 12623, 584, 1053, 617, 311, 3568, 449, 279, 586, 21063, 315, 3776, 1274, 1093, 7182, 539, 1193, 1694, 21190, 311, 636, 16766, 719, 387, 16572, 449, 1124, 13, 5270, 70058, 5644, 369, 430, 16767, 71, 323, 430, 374, 1193, 832, 5754, 2565, 382, 40, 1781, 430, 596, 810, 264, 734, 315, 1405, 499, 3974, 1109, 4205, 13, 6193, 279, 1667, 11, 358, 3077, 6216, 11510, 315, 32653, 311, 3776, 15687, 11, 813, 19621, 15687, 11, 39371, 13, 12623, 11, 358, 1440, 5115, 264, 2478, 889, 20874, 389, 279, 10658, 46121, 13, 4815, 40, 22815, 15253, 433, 11, 323, 1862, 5315, 1093, 279, 5165, 11904, 3778, 48138, 10229, 11, 24559, 353, 28753, 9, 433, 374, 701, 1314, 11, 323, 5606, 430, 3250, 956, 1093, 433, 649, 23556, 757, 13, 4815, 15721, 26, 358, 16102, 1053, 3021, 311, 733, 311, 279, 6166, 2134, 810, 3629, 1606, 358, 1518, 433, 439, 264, 5995, 10151, 11, 719, 1690, 1274, 1541, 956, 323, 527, 16475, 311, 477, 16984, 315, 16766, 320, 2000, 1695, 2944, 8, 779, 430, 374, 2500, 5754, 2565, 382, 36, 71, 11, 358, 4265, 1093, 311, 1518, 6913, 7296, 15972, 11, 422, 369, 912, 1023, 2944, 1109, 422, 499, 1935, 3201, 279, 11679, 2428, 323, 279, 330, 275, 596, 15234, 323, 7155, 1, 8331, 11, 433, 33291, 264, 2763, 315, 1202, 14638, 369, 14992, 15687, 11, 520, 3325, 304, 279, 330, 40, 1390, 311, 1514, 35317, 323, 10773, 1941, 449, 420, 1, 5647, 382, 15721, 26, 40, 2846, 2771, 1070, 527, 810, 5754, 10215, 311, 264, 30028, 58698, 13, 358, 1120, 1781, 1070, 1288, 387, 810, 14640, 323, 810, 6989, 2631, 320, 2008, 21703, 1534, 555, 1057, 3109, 779, 6166, 7296, 374, 45777, 1534, 8, 779, 430, 1274, 8895, 279, 7512, 323, 5201, 369, 16766, 382, 40, 2846, 539, 30674, 369, 264, 22618, 596, 58698, 824, 513, 320, 37241, 358, 656, 1093, 279, 2064, 1056, 1646, 570, 358, 353, 309, 9, 30674, 430, 2533, 279, 22618, 894, 520, 3544, 353, 46584, 527, 9, 961, 315, 279, 58698, 555, 2383, 11, 433, 374, 11112, 2949, 279, 4087, 1068, 315, 279, 3109, 311, 14085, 736, 2574, 1093, 279, 16803, 1122, 4488, 3647, 35402, 6826, 323, 1304, 6913, 4967, 264, 961, 315, 3794, 323, 41377, 264, 36705, 13, 4815, 81394, 11, 499, 2736, 617, 311, 656, 433, 304, 1690, 5415, 311, 636, 264, 44133, 6920, 11810, 11, 323, 304, 1475, 1614, 1603, 499, 649, 636, 264, 23330, 5842, 13, 128001, 128000, 32, 98740, 11002, 323, 8620, 10960, 374, 1457, 1825, 304, 96406, 10951, 13, 75058, 6419, 9107, 304, 5209, 71588, 1402, 627, 791, 14875, 5130, 5764, 781, 42335, 11, 523, 363, 42335, 11, 41951, 20228, 11, 63811, 81402, 11, 19151, 15586, 379, 2234, 11, 757, 72, 2523, 11, 46971, 559, 84, 11, 5945, 1725, 11, 77852, 323, 810, 627, 46023, 16553, 11, 25309, 323, 36581, 11709, 2134, 505, 10437, 323, 20897, 11, 48713, 11, 31735, 19737, 11, 925, 21059, 11, 79276, 11, 323, 3885, 627, 1966, 279, 1054, 20989, 44454, 9937, 863, 374, 46054, 753, 7462, 492, 11, 7997, 58627, 11, 48715, 16553, 449, 9709, 24822, 11, 925, 27994, 11, 323, 79276, 627, 32, 3544, 67322, 5130, 374, 1101, 9076, 13, 98726, 61080, 11, 28473, 11, 2798, 5808, 11, 274, 1003, 25877, 11, 323, 810, 527, 2561, 627, 24114, 315, 5784, 527, 7418, 13299, 291, 7465, 220, 806, 25, 966, 309, 12, 806, 5298, 11, 7950, 220, 717, 309, 12, 717, 5298, 11, 323, 7884, 220, 21, 25, 966, 5298, 12, 717, 309, 627, 1163, 363, 6419, 374, 23759, 555, 350, 1923, 28765, 42708, 20962, 323, 374, 7559, 520, 220, 13817, 24, 35348, 21998, 11, 96406, 10951, 11, 12551, 220, 6889, 717, 13, 128001, 128000, 2232, 300, 1590, 25, 27508, 478, 25083, 304, 279, 29849, 765, 11746, 916, 1115, 10255, 596, 7434, 46480, 264, 934, 68038, 11, 477, 26040, 3776, 14512, 11, 4528, 311, 362, 8971, 220, 24996, 4643, 10, 18415, 20, 11, 1405, 87887, 11352, 6908, 15055, 315, 3090, 38752, 13, 21523, 323, 16174, 4461, 1376, 264, 5801, 355, 2212, 279, 8792, 3776, 14512, 11, 449, 30614, 315, 11684, 6962, 3485, 323, 3770, 13, 356, 57563, 25, 22146, 14, 65652, 198, 35720, 11, 6790, 220, 17, 11, 220, 679, 16, 25, 9220, 3544, 22760, 278, 3148, 384, 25593, 320, 34, 7614, 82, 8, 10222, 2391, 6841, 220, 717, 12, 975, 11, 220, 679, 16, 11, 439, 13468, 555, 4015, 643, 6903, 77544, 42640, 596, 22760, 9398, 13, 362, 71812, 356, 7614, 1567, 3952, 2035, 1176, 11, 2391, 902, 279, 6522, 6964, 315, 279, 19320, 9624, 17626, 304, 459, 15952, 2212, 279, 7160, 13, 578, 9624, 19946, 7119, 279, 77544, 42640, 13, 763, 279, 2132, 11, 8294, 1567, 279, 10107, 9624, 19946, 704, 1139, 3634, 323, 3201, 505, 9420, 13, 578, 22760, 9398, 596, 3776, 13668, 10215, 704, 279, 7160, 11, 15609, 555, 279, 4251, 12960, 198, 14755, 20349, 527, 58973, 55801, 26872, 11, 39418, 6302, 6832, 24128, 374, 779, 3831, 430, 539, 1524, 3177, 649, 12731, 872, 1206, 88449, 13, 1115, 374, 459, 10255, 596, 43656, 315, 264, 3776, 14512, 304, 4156, 315, 279, 20902, 7023, 616, 32370, 15161, 627, 39, 72054, 9540, 24509, 82, 505, 4717, 1306, 69088, 3420, 198, 32, 14880, 11, 30056, 3776, 14512, 8111, 311, 387, 523, 24060, 1523, 389, 9439, 11, 1206, 6895, 30614, 520, 279, 4219, 315, 264, 14373, 34261, 11, 264, 502, 4007, 14035, 13, 578, 3776, 14512, 596, 18397, 26870, 527, 80417, 3177, 389, 1268, 3776, 20349, 6957, 279, 15861, 1253, 3139, 13, 2468, 279, 4851, 315, 7154, 1475, 34261, 374, 264, 2307, 27428, 535, 3776, 14512, 11990, 311, 33151, 315, 3115, 279, 3148, 315, 9420, 596, 7160, 11, 1455, 12025, 22761, 1065, 292, 1705, 7655, 13, 4314, 3776, 20349, 3139, 555, 75517, 9894, 709, 6962, 11, 16174, 323, 4205, 775, 430, 17503, 389, 1124, 320, 56447, 1705, 1650, 420, 1920, 90578, 644, 6287, 315, 220, 1049, 22, 11, 87887, 7559, 264, 58973, 14512, 304, 279, 15861, 13, 1115, 4384, 3634, 11, 42949, 7154, 264, 7239, 3177, 57188, 4028, 11, 374, 76939, 315, 904, 5030, 1778, 439, 66017, 11, 9958, 11, 323, 6962, 11, 323, 14188, 1587, 433, 6782, 279, 15234, 323, 26454, 6453, 5030, 11, 902, 649, 387, 16914, 719, 539, 3970, 13, 578, 3544, 742, 304, 279, 25538, 43313, 469, 1907, 59063, 8111, 311, 387, 97356, 2728, 1510, 56754, 5848, 4211, 13, 4359, 3309, 12280, 1283, 574, 7953, 279, 4384, 3634, 1131, 578, 6017, 315, 12280, 304, 279, 19229, 17377, 198, 2127, 46835, 315, 220, 10914, 4207, 315, 921, 24155, 24654, 315, 279, 8792, 13918, 315, 279, 3700, 325, 355, 34261, 10879, 21667, 6029, 315, 279, 63355, 430, 706, 3189, 11440, 279, 10879, 369, 11758, 315, 11990, 315, 1667, 13, 3861, 315, 279, 1455, 11191, 6302, 304, 279, 15861, 11, 279, 10879, 5727, 9214, 315, 66017, 78308, 304, 264, 13057, 9624, 315, 80149, 15068, 8547, 6962, 449, 279, 3148, 13890, 315, 490, 91387, 315, 7160, 82, 627, 791, 12541, 315, 279, 89819, 12424, 320, 69389, 3485, 8, 10187, 264, 29050, 20545, 315, 3148, 11, 2737, 28066, 315, 9958, 323, 264, 3776, 14512, 11, 323, 50096, 6453, 5030, 48453, 304, 420, 5654, 1053, 4726, 1057, 8830, 315, 279, 15861, 198, 306, 43613, 362, 11, 1101, 3967, 439, 120233, 220, 8358, 23, 11, 374, 459, 4642, 326, 4351, 1299, 34261, 922, 220, 806, 3610, 3177, 1667, 29827, 505, 9420, 304, 279, 5838, 43613, 83486, 13, 1102, 5727, 3995, 6437, 6917, 28066, 11, 6908, 6962, 30614, 323, 6453, 16174, 34125, 13, 2468, 279, 12541, 315, 682, 279, 5820, 304, 5838, 43613, 362, 527, 1148, 8111, 311, 387, 54858, 315, 5030, 1694, 53312, 1139, 264, 2307, 11191, 3776, 14512, 902, 706, 264, 3148, 264, 7239, 3115, 430, 315, 279, 8219, 13, 128001 ]
[ -100, 15721, 26, 8489, 10035, 1131, 98936, 11, 430, 5097, 892, 13, 12623, 584, 1053, 617, 311, 3568, 449, 279, 586, 21063, 315, 3776, 1274, 1093, 7182, 539, 1193, 1694, 21190, 311, 636, 16766, 719, 387, 16572, 449, 1124, 13, 5270, 70058, 5644, 369, 430, 16767, 71, 323, 430, 374, 1193, 832, 5754, 2565, 382, 40, 1781, 430, 596, 810, 264, 734, 315, 1405, 499, 3974, 1109, 4205, 13, 6193, 279, 1667, 11, 358, 3077, 6216, 11510, 315, 32653, 311, 3776, 15687, 11, 813, 19621, 15687, 11, 39371, 13, 12623, 11, 358, 1440, 5115, 264, 2478, 889, 20874, 389, 279, 10658, 46121, 13, 4815, 40, 22815, 15253, 433, 11, 323, 1862, 5315, 1093, 279, 5165, 11904, 3778, 48138, 10229, 11, 24559, 353, 28753, 9, 433, 374, 701, 1314, 11, 323, 5606, 430, 3250, 956, 1093, 433, 649, 23556, 757, 13, 4815, 15721, 26, 358, 16102, 1053, 3021, 311, 733, 311, 279, 6166, 2134, 810, 3629, 1606, 358, 1518, 433, 439, 264, 5995, 10151, 11, 719, 1690, 1274, 1541, 956, 323, 527, 16475, 311, 477, 16984, 315, 16766, 320, 2000, 1695, 2944, 8, 779, 430, 374, 2500, 5754, 2565, 382, 36, 71, 11, 358, 4265, 1093, 311, 1518, 6913, 7296, 15972, 11, 422, 369, 912, 1023, 2944, 1109, 422, 499, 1935, 3201, 279, 11679, 2428, 323, 279, 330, 275, 596, 15234, 323, 7155, 1, 8331, 11, 433, 33291, 264, 2763, 315, 1202, 14638, 369, 14992, 15687, 11, 520, 3325, 304, 279, 330, 40, 1390, 311, 1514, 35317, 323, 10773, 1941, 449, 420, 1, 5647, 382, 15721, 26, 40, 2846, 2771, 1070, 527, 810, 5754, 10215, 311, 264, 30028, 58698, 13, 358, 1120, 1781, 1070, 1288, 387, 810, 14640, 323, 810, 6989, 2631, 320, 2008, 21703, 1534, 555, 1057, 3109, 779, 6166, 7296, 374, 45777, 1534, 8, 779, 430, 1274, 8895, 279, 7512, 323, 5201, 369, 16766, 382, 40, 2846, 539, 30674, 369, 264, 22618, 596, 58698, 824, 513, 320, 37241, 358, 656, 1093, 279, 2064, 1056, 1646, 570, 358, 353, 309, 9, 30674, 430, 2533, 279, 22618, 894, 520, 3544, 353, 46584, 527, 9, 961, 315, 279, 58698, 555, 2383, 11, 433, 374, 11112, 2949, 279, 4087, 1068, 315, 279, 3109, 311, 14085, 736, 2574, 1093, 279, 16803, 1122, 4488, 3647, 35402, 6826, 323, 1304, 6913, 4967, 264, 961, 315, 3794, 323, 41377, 264, 36705, 13, 4815, 81394, 11, 499, 2736, 617, 311, 656, 433, 304, 1690, 5415, 311, 636, 264, 44133, 6920, 11810, 11, 323, 304, 1475, 1614, 1603, 499, 649, 636, 264, 23330, 5842, 13, 128001, -100, 32, 98740, 11002, 323, 8620, 10960, 374, 1457, 1825, 304, 96406, 10951, 13, 75058, 6419, 9107, 304, 5209, 71588, 1402, 627, 791, 14875, 5130, 5764, 781, 42335, 11, 523, 363, 42335, 11, 41951, 20228, 11, 63811, 81402, 11, 19151, 15586, 379, 2234, 11, 757, 72, 2523, 11, 46971, 559, 84, 11, 5945, 1725, 11, 77852, 323, 810, 627, 46023, 16553, 11, 25309, 323, 36581, 11709, 2134, 505, 10437, 323, 20897, 11, 48713, 11, 31735, 19737, 11, 925, 21059, 11, 79276, 11, 323, 3885, 627, 1966, 279, 1054, 20989, 44454, 9937, 863, 374, 46054, 753, 7462, 492, 11, 7997, 58627, 11, 48715, 16553, 449, 9709, 24822, 11, 925, 27994, 11, 323, 79276, 627, 32, 3544, 67322, 5130, 374, 1101, 9076, 13, 98726, 61080, 11, 28473, 11, 2798, 5808, 11, 274, 1003, 25877, 11, 323, 810, 527, 2561, 627, 24114, 315, 5784, 527, 7418, 13299, 291, 7465, 220, 806, 25, 966, 309, 12, 806, 5298, 11, 7950, 220, 717, 309, 12, 717, 5298, 11, 323, 7884, 220, 21, 25, 966, 5298, 12, 717, 309, 627, 1163, 363, 6419, 374, 23759, 555, 350, 1923, 28765, 42708, 20962, 323, 374, 7559, 520, 220, 13817, 24, 35348, 21998, 11, 96406, 10951, 11, 12551, 220, 6889, 717, 13, 128001, -100, 2232, 300, 1590, 25, 27508, 478, 25083, 304, 279, 29849, 765, 11746, 916, 1115, 10255, 596, 7434, 46480, 264, 934, 68038, 11, 477, 26040, 3776, 14512, 11, 4528, 311, 362, 8971, 220, 24996, 4643, 10, 18415, 20, 11, 1405, 87887, 11352, 6908, 15055, 315, 3090, 38752, 13, 21523, 323, 16174, 4461, 1376, 264, 5801, 355, 2212, 279, 8792, 3776, 14512, 11, 449, 30614, 315, 11684, 6962, 3485, 323, 3770, 13, 356, 57563, 25, 22146, 14, 65652, 198, 35720, 11, 6790, 220, 17, 11, 220, 679, 16, 25, 9220, 3544, 22760, 278, 3148, 384, 25593, 320, 34, 7614, 82, 8, 10222, 2391, 6841, 220, 717, 12, 975, 11, 220, 679, 16, 11, 439, 13468, 555, 4015, 643, 6903, 77544, 42640, 596, 22760, 9398, 13, 362, 71812, 356, 7614, 1567, 3952, 2035, 1176, 11, 2391, 902, 279, 6522, 6964, 315, 279, 19320, 9624, 17626, 304, 459, 15952, 2212, 279, 7160, 13, 578, 9624, 19946, 7119, 279, 77544, 42640, 13, 763, 279, 2132, 11, 8294, 1567, 279, 10107, 9624, 19946, 704, 1139, 3634, 323, 3201, 505, 9420, 13, 578, 22760, 9398, 596, 3776, 13668, 10215, 704, 279, 7160, 11, 15609, 555, 279, 4251, 12960, 198, 14755, 20349, 527, 58973, 55801, 26872, 11, 39418, 6302, 6832, 24128, 374, 779, 3831, 430, 539, 1524, 3177, 649, 12731, 872, 1206, 88449, 13, 1115, 374, 459, 10255, 596, 43656, 315, 264, 3776, 14512, 304, 4156, 315, 279, 20902, 7023, 616, 32370, 15161, 627, 39, 72054, 9540, 24509, 82, 505, 4717, 1306, 69088, 3420, 198, 32, 14880, 11, 30056, 3776, 14512, 8111, 311, 387, 523, 24060, 1523, 389, 9439, 11, 1206, 6895, 30614, 520, 279, 4219, 315, 264, 14373, 34261, 11, 264, 502, 4007, 14035, 13, 578, 3776, 14512, 596, 18397, 26870, 527, 80417, 3177, 389, 1268, 3776, 20349, 6957, 279, 15861, 1253, 3139, 13, 2468, 279, 4851, 315, 7154, 1475, 34261, 374, 264, 2307, 27428, 535, 3776, 14512, 11990, 311, 33151, 315, 3115, 279, 3148, 315, 9420, 596, 7160, 11, 1455, 12025, 22761, 1065, 292, 1705, 7655, 13, 4314, 3776, 20349, 3139, 555, 75517, 9894, 709, 6962, 11, 16174, 323, 4205, 775, 430, 17503, 389, 1124, 320, 56447, 1705, 1650, 420, 1920, 90578, 644, 6287, 315, 220, 1049, 22, 11, 87887, 7559, 264, 58973, 14512, 304, 279, 15861, 13, 1115, 4384, 3634, 11, 42949, 7154, 264, 7239, 3177, 57188, 4028, 11, 374, 76939, 315, 904, 5030, 1778, 439, 66017, 11, 9958, 11, 323, 6962, 11, 323, 14188, 1587, 433, 6782, 279, 15234, 323, 26454, 6453, 5030, 11, 902, 649, 387, 16914, 719, 539, 3970, 13, 578, 3544, 742, 304, 279, 25538, 43313, 469, 1907, 59063, 8111, 311, 387, 97356, 2728, 1510, 56754, 5848, 4211, 13, 4359, 3309, 12280, 1283, 574, 7953, 279, 4384, 3634, 1131, 578, 6017, 315, 12280, 304, 279, 19229, 17377, 198, 2127, 46835, 315, 220, 10914, 4207, 315, 921, 24155, 24654, 315, 279, 8792, 13918, 315, 279, 3700, 325, 355, 34261, 10879, 21667, 6029, 315, 279, 63355, 430, 706, 3189, 11440, 279, 10879, 369, 11758, 315, 11990, 315, 1667, 13, 3861, 315, 279, 1455, 11191, 6302, 304, 279, 15861, 11, 279, 10879, 5727, 9214, 315, 66017, 78308, 304, 264, 13057, 9624, 315, 80149, 15068, 8547, 6962, 449, 279, 3148, 13890, 315, 490, 91387, 315, 7160, 82, 627, 791, 12541, 315, 279, 89819, 12424, 320, 69389, 3485, 8, 10187, 264, 29050, 20545, 315, 3148, 11, 2737, 28066, 315, 9958, 323, 264, 3776, 14512, 11, 323, 50096, 6453, 5030, 48453, 304, 420, 5654, 1053, 4726, 1057, 8830, 315, 279, 15861, 198, 306, 43613, 362, 11, 1101, 3967, 439, 120233, 220, 8358, 23, 11, 374, 459, 4642, 326, 4351, 1299, 34261, 922, 220, 806, 3610, 3177, 1667, 29827, 505, 9420, 304, 279, 5838, 43613, 83486, 13, 1102, 5727, 3995, 6437, 6917, 28066, 11, 6908, 6962, 30614, 323, 6453, 16174, 34125, 13, 2468, 279, 12541, 315, 682, 279, 5820, 304, 5838, 43613, 362, 527, 1148, 8111, 311, 387, 54858, 315, 5030, 1694, 53312, 1139, 264, 2307, 11191, 3776, 14512, 902, 706, 264, 3148, 264, 7239, 3115, 430, 315, 279, 8219, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 12978, 287, 2911, 23075, 14604, 5435, 304, 279, 15508, 315, 264, 21426, 374, 264, 24779, 3465, 369, 6699, 11, 13639, 11, 323, 10723, 2890, 15749, 13, 7648, 2911, 617, 4528, 24087, 1306, 264, 35279, 32659, 25, 430, 279, 1567, 690, 3621, 1578, 11, 430, 4423, 814, 3021, 690, 387, 13194, 477, 2815, 11, 323, 430, 814, 1253, 387, 2163, 7636, 13, 5629, 323, 43780, 11, 682, 2911, 2011, 617, 872, 6913, 3966, 2322, 13, 2435, 1205, 3691, 11, 17895, 11, 23756, 11, 323, 311, 2733, 6220, 449, 4423, 889, 34672, 922, 1124, 13, 65064, 430, 1521, 3966, 617, 1027, 2322, 11, 439, 1664, 439, 904, 2890, 4819, 20669, 11, 1070, 527, 6299, 12884, 649, 1935, 311, 61705, 2911, 753, 18547, 627, 11800, 753, 25481, 311, 264, 21426, 6904, 5304, 1148, 574, 10534, 323, 5304, 872, 3766, 5496, 6671, 13, 15394, 527, 5423, 20134, 422, 814, 1047, 264, 3293, 3070, 44219, 477, 872, 6439, 1051, 53087, 13, 20636, 311, 28500, 505, 6305, 2162, 323, 9564, 682, 53635, 4920, 527, 5107, 3403, 11, 719, 3515, 264, 2162, 14763, 323, 81625, 369, 6305, 2324, 649, 387, 33318, 627, 4599, 3070, 3697, 3719, 38100, 323, 60178, 11, 264, 1716, 596, 8850, 374, 8622, 1908, 13, 3277, 3284, 11, 12884, 1205, 311, 3568, 449, 279, 6671, 304, 264, 1648, 430, 690, 1520, 2911, 5766, 264, 15690, 5647, 315, 4814, 13, 58338, 1205, 311, 1862, 1855, 1023, 779, 430, 814, 649, 387, 38683, 2561, 369, 872, 2911, 13, 3277, 814, 37586, 1664, 1234, 9193, 5107, 4787, 11, 1070, 374, 264, 1695, 6140, 279, 2911, 690, 1304, 264, 6928, 28174, 13, 9365, 369, 1521, 2911, 374, 5995, 311, 5766, 1317, 9860, 14604, 11682, 13, 1442, 1063, 315, 279, 2768, 13803, 527, 14560, 323, 5255, 3136, 369, 4038, 11, 264, 1716, 690, 1455, 4461, 1205, 6721, 1520, 627, 32578, 311, 13381, 19198, 198, 11800, 889, 527, 2288, 3995, 311, 6604, 4250, 7664, 872, 16024, 11, 719, 814, 1253, 6227, 42266, 11, 10578, 11, 477, 11018, 1105, 505, 264, 21426, 13, 2435, 3629, 14085, 555, 1694, 6348, 23349, 13, 4203, 2184, 2911, 527, 5423, 20134, 311, 24087, 315, 1694, 23838, 13, 4314, 2911, 4510, 430, 20124, 527, 81193, 323, 814, 1755, 4395, 311, 471, 439, 433, 574, 1603, 13, 4427, 4279, 25481, 369, 2911, 304, 420, 4325, 2134, 527, 512, 12, 2493, 24992, 11, 31299, 11, 74571, 61818, 11, 323, 5255, 35101, 280, 12, 23548, 264, 2748, 17277, 280, 12, 8718, 985, 311, 387, 2163, 7636, 280, 12, 21347, 63757, 315, 27394, 477, 10099, 280, 12, 20636, 6212, 85160, 477, 4814, 315, 38575, 280, 12, 99239, 62564, 477, 66358, 2585, 280, 12, 800, 6339, 287, 477, 1023, 8982, 5435, 280, 12, 76263, 9894, 477, 1694, 12153, 311, 3351, 280, 12, 40374, 5977, 1239, 49053, 28198, 1778, 439, 4950, 2695, 52189, 323, 25015, 1355, 47270, 280, 12, 8718, 985, 311, 733, 7634, 430, 24928, 1124, 315, 279, 2035, 1405, 279, 54286, 1567, 10222, 26, 323, 198, 12, 4158, 73910, 5596, 315, 279, 83015, 304, 872, 1514, 627, 3923, 649, 387, 2884, 311, 1520, 1521, 2911, 5380, 12, 40665, 32834, 5890, 1555, 701, 4339, 323, 6299, 430, 499, 3021, 1124, 323, 690, 1935, 2512, 315, 1124, 627, 12, 2893, 2561, 311, 5916, 11, 30884, 323, 3041, 6666, 627, 12, 4324, 264, 89607, 28278, 627, 12, 21496, 872, 1205, 311, 6212, 3221, 459, 6822, 627, 12, 15353, 3070, 30597, 439, 1790, 439, 3284, 627, 12, 27628, 1124, 311, 16988, 304, 1304, 91305, 19704, 1514, 5552, 311, 279, 21426, 627, 12, 33249, 311, 279, 2911, 3237, 872, 11555, 323, 16024, 18815, 279, 1567, 13, 320, 9290, 25, 18242, 279, 19178, 24941, 32833, 826, 2363, 8779, 2911, 36870, 553, 872, 21958, 29275, 12, 2893, 8830, 323, 53464, 627, 12, 78137, 5066, 892, 3871, 439, 264, 3070, 627, 9673, 2911, 3619, 430, 4442, 649, 387, 15690, 13, 2435, 1253, 3719, 864, 41456, 449, 279, 3649, 315, 279, 21426, 477, 31324, 24087, 430, 2873, 46305, 311, 433, 13, 4427, 4279, 25481, 315, 2911, 17051, 8254, 311, 45314, 527, 512, 12, 21347, 50682, 280, 12, 17855, 287, 61754, 24087, 280, 12, 21347, 6348, 23349, 280, 12, 20636, 19021, 704, 11490, 37379, 280, 12, 20636, 6212, 85160, 1778, 439, 75362, 11, 3814, 259, 7805, 323, 4950, 2695, 52189, 280, 12, 21347, 15022, 449, 37783, 280, 12, 2209, 337, 1113, 1461, 477, 11937, 280, 12, 8718, 985, 311, 9604, 2978, 280, 12, 21347, 834, 33536, 323, 5255, 6847, 22568, 280, 12, 40374, 5977, 8009, 20545, 323, 2978, 5178, 280, 12, 99239, 2802, 304, 7640, 280, 12, 17855, 287, 7106, 21859, 1778, 439, 55403, 11, 23152, 264, 8696, 477, 294, 97745, 26, 323, 198, 12, 21347, 42642, 11, 38100, 11, 477, 38683, 57371, 627, 3923, 649, 387, 2884, 311, 1520, 1521, 2911, 5380, 12, 2893, 53464, 11, 8893, 323, 25694, 627, 12, 2893, 2536, 13636, 664, 9247, 278, 422, 814, 31324, 1239, 49053, 28198, 627, 12, 40665, 264, 14348, 323, 6070, 627, 12, 24423, 12707, 20705, 430, 1253, 387, 54739, 311, 1124, 627, 12, 68685, 17078, 627, 12, 71994, 872, 1205, 311, 387, 12703, 323, 16106, 2085, 21648, 627, 12, 11736, 1124, 2733, 304, 2585, 555, 26921, 1124, 311, 1304, 1063, 11429, 627, 12, 10984, 61140, 1124, 311, 4358, 1148, 7077, 11, 719, 656, 539, 32262, 430, 814, 4358, 433, 13, 320, 9290, 25, 12361, 315, 5605, 11, 1054, 4438, 656, 499, 2733, 12671, 2019, 2555, 1093, 11, 19524, 3923, 656, 499, 1781, 1023, 2911, 701, 4325, 527, 40876, 922, 12671, 578, 15629, 4860, 374, 8831, 369, 2911, 311, 4320, 29275, 12, 40665, 459, 6776, 369, 1124, 311, 1518, 872, 4885, 627, 12, 27628, 1124, 311, 1180, 704, 279, 21426, 1555, 872, 1514, 627, 12, 11736, 1124, 1781, 922, 1148, 814, 649, 656, 311, 2733, 810, 10882, 627, 12, 11736, 1124, 10765, 31854, 430, 1253, 5353, 1124, 35104, 11, 602, 1770, 13, 32369, 300, 11, 44583, 11, 3230, 7634, 11, 5099, 627, 12, 45152, 2574, 814, 649, 656, 477, 2019, 311, 5694, 311, 48839, 872, 18547, 627, 12, 2893, 10978, 323, 26569, 994, 25394, 279, 3938, 719, 387, 439, 82964, 439, 3284, 627, 12, 66379, 7296, 11193, 311, 387, 4529, 304, 1162, 315, 264, 3938, 21426, 627, 12, 10984, 61140, 1124, 311, 16136, 304, 3070, 13654, 7224, 627, 2520, 1521, 4236, 433, 374, 5995, 311, 3493, 10708, 369, 26081, 311, 4430, 872, 25481, 13, 2435, 1205, 311, 1440, 430, 872, 24087, 527, 4725, 13, 11205, 25481, 8541, 311, 52280, 1884, 315, 12884, 11, 3686, 814, 1253, 1101, 14085, 304, 264, 1716, 4908, 11827, 13, 578, 13803, 315, 3284, 5435, 369, 420, 4325, 5575, 2997, 512, 12, 20636, 19428, 21958, 323, 1694, 46243, 311, 4358, 1124, 449, 872, 3070, 627, 12, 20636, 38575, 323, 6212, 85160, 280, 12, 1398, 32836, 11627, 8381, 25082, 477, 75362, 280, 12, 40374, 5977, 7106, 5435, 1778, 439, 436, 14380, 11, 74502, 5435, 11, 51643, 477, 4785, 8895, 477, 4814, 280, 12, 20636, 8841, 437, 13795, 13803, 1778, 439, 55403, 280, 12, 17855, 287, 8850, 315, 9564, 2162, 280, 12, 35106, 287, 904, 66697, 315, 279, 21426, 280, 12, 74658, 16390, 369, 539, 3815, 810, 280, 12, 3161, 81949, 323, 13490, 2802, 304, 2978, 323, 5255, 14734, 22639, 280, 12, 35106, 287, 2978, 323, 14584, 990, 280, 12, 20636, 264, 25983, 4907, 2237, 280, 12, 74658, 80008, 11, 945, 33337, 11, 75323, 323, 5255, 42642, 280, 12, 20636, 66153, 11555, 280, 12, 52743, 6427, 2403, 5718, 280, 12, 74658, 60214, 323, 87719, 5326, 4737, 28198, 280, 12, 12362, 13200, 477, 1023, 11217, 26, 323, 198, 12, 40374, 5977, 1624, 258, 17187, 7865, 627, 3923, 649, 387, 2884, 311, 1520, 1521, 4236, 5380, 12, 11736, 1124, 2733, 304, 2585, 555, 3515, 1124, 1304, 1063, 11429, 627, 12, 1050, 395, 554, 1124, 430, 814, 1550, 682, 814, 1436, 520, 279, 892, 627, 12, 17375, 3748, 349, 264, 1912, 315, 26081, 311, 4358, 279, 21426, 627, 12, 39274, 20852, 304, 3674, 7640, 323, 5255, 74175, 449, 26081, 627, 12, 40665, 5066, 6666, 323, 69130, 627, 12, 40665, 264, 14348, 719, 387, 19303, 627, 12, 68685, 17078, 369, 264, 892, 627, 12, 10984, 61140, 20852, 304, 56228, 9045, 627, 12, 30839, 6721, 1520, 627, 30119, 42419, 47802, 323, 6150, 71077, 3053, 54349, 4314, 20783, 198, 12, 12040, 892, 311, 10772, 6261, 38683, 11, 5423, 422, 279, 21426, 11754, 499, 16102, 627, 12, 2893, 8010, 430, 904, 1716, 889, 15746, 3754, 10401, 315, 279, 21426, 649, 3719, 264, 330, 19217, 11996, 1, 323, 649, 7831, 14604, 323, 7106, 5435, 1524, 422, 814, 3974, 3201, 505, 279, 21426, 627, 12, 2893, 16614, 311, 13042, 12062, 4315, 2911, 627, 12, 6914, 2911, 1440, 430, 433, 374, 4725, 311, 2733, 23268, 323, 63757, 1306, 1694, 15246, 311, 264, 31926, 627, 12, 40665, 459, 6776, 369, 2911, 889, 1390, 311, 3137, 922, 279, 1567, 311, 3237, 872, 11555, 323, 16024, 627, 12, 78138, 279, 1314, 315, 1063, 2911, 311, 5766, 904, 10430, 627, 12, 35106, 11763, 21976, 18815, 279, 1567, 430, 1253, 387, 34973, 311, 1063, 2911, 627, 12, 22559, 872, 4860, 449, 48948, 11, 3686, 387, 10015, 1701, 4339, 430, 2911, 6847, 3619, 627, 12, 68301, 304, 38650, 3878, 627, 12, 1050, 395, 554, 279, 4236, 430, 279, 1567, 374, 927, 323, 430, 12884, 690, 656, 4395, 3284, 311, 2567, 1124, 6220, 627, 12, 40665, 14734, 61450, 369, 1521, 2911, 627, 12, 40665, 459, 17057, 24978, 430, 649, 8854, 439, 264, 6220, 9167, 627, 12, 71994, 430, 1063, 315, 1521, 2911, 1253, 387, 9193, 19021, 11, 50682, 477, 12703, 627, 12, 2893, 8010, 315, 31854, 430, 1253, 5353, 35104, 1778, 439, 3738, 32369, 300, 11, 7640, 11, 477, 44583, 430, 814, 1253, 22712, 449, 279, 21426, 627, 12, 8976, 553, 430, 433, 690, 1935, 892, 369, 279, 4236, 311, 7652, 627, 12, 1442, 25660, 8475, 4430, 7493, 315, 51751, 430, 20461, 594, 4008, 2301, 323, 430, 617, 19543, 304, 264, 471, 311, 264, 1054, 943, 4725, 49216, 12, 25510, 10708, 369, 2911, 311, 4128, 9364, 315, 872, 19301, 323, 8530, 9364, 430, 4097, 872, 3938, 16388, 627, 12, 362, 2978, 62475, 477, 2128, 315, 10723, 2890, 15749, 1253, 1390, 311, 3063, 20954, 449, 2911, 304, 58216, 477, 304, 2678, 5315, 13, 320, 9290, 25, 422, 279, 2911, 527, 653, 52397, 11, 2610, 1124, 311, 3350, 1523, 872, 16024, 477, 4860, 73251, 11, 1522, 1124, 311, 279, 4156, 323, 1243, 1373, 323, 4358, 1124, 439, 264, 1912, 29275, 12, 6150, 86347, 1253, 1390, 311, 1005, 20156, 11, 15241, 65301, 11, 1989, 11, 1514, 11, 6603, 11, 11782, 4477, 11, 24685, 11, 4731, 11, 20954, 477, 3953, 311, 1520, 1521, 2911, 4048, 5627, 311, 37586, 449, 872, 21958, 323, 74884, 32606, 13, 30440, 42316, 1253, 1101, 387, 9076, 627, 12, 23588, 264, 6574, 369, 6699, 311, 4358, 279, 21426, 11, 311, 4430, 10742, 922, 872, 2911, 59, 15, 16141, 20, 82, 25481, 323, 311, 13488, 5627, 2978, 4443, 323, 6699, 649, 990, 3871, 369, 8935, 315, 279, 4236, 627, 12, 1442, 43303, 11, 923, 1862, 5687, 2391, 11, 1603, 11, 323, 1306, 2978, 627, 12, 3277, 3284, 1520, 4667, 8689, 311, 4029, 5070, 13, 40224, 13607, 1139, 279, 2978, 430, 649, 3568, 449, 3966, 5552, 311, 11983, 11, 40382, 11, 323, 8276, 13, 128001 ]
[ -100, 12978, 287, 2911, 23075, 14604, 5435, 304, 279, 15508, 315, 264, 21426, 374, 264, 24779, 3465, 369, 6699, 11, 13639, 11, 323, 10723, 2890, 15749, 13, 7648, 2911, 617, 4528, 24087, 1306, 264, 35279, 32659, 25, 430, 279, 1567, 690, 3621, 1578, 11, 430, 4423, 814, 3021, 690, 387, 13194, 477, 2815, 11, 323, 430, 814, 1253, 387, 2163, 7636, 13, 5629, 323, 43780, 11, 682, 2911, 2011, 617, 872, 6913, 3966, 2322, 13, 2435, 1205, 3691, 11, 17895, 11, 23756, 11, 323, 311, 2733, 6220, 449, 4423, 889, 34672, 922, 1124, 13, 65064, 430, 1521, 3966, 617, 1027, 2322, 11, 439, 1664, 439, 904, 2890, 4819, 20669, 11, 1070, 527, 6299, 12884, 649, 1935, 311, 61705, 2911, 753, 18547, 627, 11800, 753, 25481, 311, 264, 21426, 6904, 5304, 1148, 574, 10534, 323, 5304, 872, 3766, 5496, 6671, 13, 15394, 527, 5423, 20134, 422, 814, 1047, 264, 3293, 3070, 44219, 477, 872, 6439, 1051, 53087, 13, 20636, 311, 28500, 505, 6305, 2162, 323, 9564, 682, 53635, 4920, 527, 5107, 3403, 11, 719, 3515, 264, 2162, 14763, 323, 81625, 369, 6305, 2324, 649, 387, 33318, 627, 4599, 3070, 3697, 3719, 38100, 323, 60178, 11, 264, 1716, 596, 8850, 374, 8622, 1908, 13, 3277, 3284, 11, 12884, 1205, 311, 3568, 449, 279, 6671, 304, 264, 1648, 430, 690, 1520, 2911, 5766, 264, 15690, 5647, 315, 4814, 13, 58338, 1205, 311, 1862, 1855, 1023, 779, 430, 814, 649, 387, 38683, 2561, 369, 872, 2911, 13, 3277, 814, 37586, 1664, 1234, 9193, 5107, 4787, 11, 1070, 374, 264, 1695, 6140, 279, 2911, 690, 1304, 264, 6928, 28174, 13, 9365, 369, 1521, 2911, 374, 5995, 311, 5766, 1317, 9860, 14604, 11682, 13, 1442, 1063, 315, 279, 2768, 13803, 527, 14560, 323, 5255, 3136, 369, 4038, 11, 264, 1716, 690, 1455, 4461, 1205, 6721, 1520, 627, 32578, 311, 13381, 19198, 198, 11800, 889, 527, 2288, 3995, 311, 6604, 4250, 7664, 872, 16024, 11, 719, 814, 1253, 6227, 42266, 11, 10578, 11, 477, 11018, 1105, 505, 264, 21426, 13, 2435, 3629, 14085, 555, 1694, 6348, 23349, 13, 4203, 2184, 2911, 527, 5423, 20134, 311, 24087, 315, 1694, 23838, 13, 4314, 2911, 4510, 430, 20124, 527, 81193, 323, 814, 1755, 4395, 311, 471, 439, 433, 574, 1603, 13, 4427, 4279, 25481, 369, 2911, 304, 420, 4325, 2134, 527, 512, 12, 2493, 24992, 11, 31299, 11, 74571, 61818, 11, 323, 5255, 35101, 280, 12, 23548, 264, 2748, 17277, 280, 12, 8718, 985, 311, 387, 2163, 7636, 280, 12, 21347, 63757, 315, 27394, 477, 10099, 280, 12, 20636, 6212, 85160, 477, 4814, 315, 38575, 280, 12, 99239, 62564, 477, 66358, 2585, 280, 12, 800, 6339, 287, 477, 1023, 8982, 5435, 280, 12, 76263, 9894, 477, 1694, 12153, 311, 3351, 280, 12, 40374, 5977, 1239, 49053, 28198, 1778, 439, 4950, 2695, 52189, 323, 25015, 1355, 47270, 280, 12, 8718, 985, 311, 733, 7634, 430, 24928, 1124, 315, 279, 2035, 1405, 279, 54286, 1567, 10222, 26, 323, 198, 12, 4158, 73910, 5596, 315, 279, 83015, 304, 872, 1514, 627, 3923, 649, 387, 2884, 311, 1520, 1521, 2911, 5380, 12, 40665, 32834, 5890, 1555, 701, 4339, 323, 6299, 430, 499, 3021, 1124, 323, 690, 1935, 2512, 315, 1124, 627, 12, 2893, 2561, 311, 5916, 11, 30884, 323, 3041, 6666, 627, 12, 4324, 264, 89607, 28278, 627, 12, 21496, 872, 1205, 311, 6212, 3221, 459, 6822, 627, 12, 15353, 3070, 30597, 439, 1790, 439, 3284, 627, 12, 27628, 1124, 311, 16988, 304, 1304, 91305, 19704, 1514, 5552, 311, 279, 21426, 627, 12, 33249, 311, 279, 2911, 3237, 872, 11555, 323, 16024, 18815, 279, 1567, 13, 320, 9290, 25, 18242, 279, 19178, 24941, 32833, 826, 2363, 8779, 2911, 36870, 553, 872, 21958, 29275, 12, 2893, 8830, 323, 53464, 627, 12, 78137, 5066, 892, 3871, 439, 264, 3070, 627, 9673, 2911, 3619, 430, 4442, 649, 387, 15690, 13, 2435, 1253, 3719, 864, 41456, 449, 279, 3649, 315, 279, 21426, 477, 31324, 24087, 430, 2873, 46305, 311, 433, 13, 4427, 4279, 25481, 315, 2911, 17051, 8254, 311, 45314, 527, 512, 12, 21347, 50682, 280, 12, 17855, 287, 61754, 24087, 280, 12, 21347, 6348, 23349, 280, 12, 20636, 19021, 704, 11490, 37379, 280, 12, 20636, 6212, 85160, 1778, 439, 75362, 11, 3814, 259, 7805, 323, 4950, 2695, 52189, 280, 12, 21347, 15022, 449, 37783, 280, 12, 2209, 337, 1113, 1461, 477, 11937, 280, 12, 8718, 985, 311, 9604, 2978, 280, 12, 21347, 834, 33536, 323, 5255, 6847, 22568, 280, 12, 40374, 5977, 8009, 20545, 323, 2978, 5178, 280, 12, 99239, 2802, 304, 7640, 280, 12, 17855, 287, 7106, 21859, 1778, 439, 55403, 11, 23152, 264, 8696, 477, 294, 97745, 26, 323, 198, 12, 21347, 42642, 11, 38100, 11, 477, 38683, 57371, 627, 3923, 649, 387, 2884, 311, 1520, 1521, 2911, 5380, 12, 2893, 53464, 11, 8893, 323, 25694, 627, 12, 2893, 2536, 13636, 664, 9247, 278, 422, 814, 31324, 1239, 49053, 28198, 627, 12, 40665, 264, 14348, 323, 6070, 627, 12, 24423, 12707, 20705, 430, 1253, 387, 54739, 311, 1124, 627, 12, 68685, 17078, 627, 12, 71994, 872, 1205, 311, 387, 12703, 323, 16106, 2085, 21648, 627, 12, 11736, 1124, 2733, 304, 2585, 555, 26921, 1124, 311, 1304, 1063, 11429, 627, 12, 10984, 61140, 1124, 311, 4358, 1148, 7077, 11, 719, 656, 539, 32262, 430, 814, 4358, 433, 13, 320, 9290, 25, 12361, 315, 5605, 11, 1054, 4438, 656, 499, 2733, 12671, 2019, 2555, 1093, 11, 19524, 3923, 656, 499, 1781, 1023, 2911, 701, 4325, 527, 40876, 922, 12671, 578, 15629, 4860, 374, 8831, 369, 2911, 311, 4320, 29275, 12, 40665, 459, 6776, 369, 1124, 311, 1518, 872, 4885, 627, 12, 27628, 1124, 311, 1180, 704, 279, 21426, 1555, 872, 1514, 627, 12, 11736, 1124, 1781, 922, 1148, 814, 649, 656, 311, 2733, 810, 10882, 627, 12, 11736, 1124, 10765, 31854, 430, 1253, 5353, 1124, 35104, 11, 602, 1770, 13, 32369, 300, 11, 44583, 11, 3230, 7634, 11, 5099, 627, 12, 45152, 2574, 814, 649, 656, 477, 2019, 311, 5694, 311, 48839, 872, 18547, 627, 12, 2893, 10978, 323, 26569, 994, 25394, 279, 3938, 719, 387, 439, 82964, 439, 3284, 627, 12, 66379, 7296, 11193, 311, 387, 4529, 304, 1162, 315, 264, 3938, 21426, 627, 12, 10984, 61140, 1124, 311, 16136, 304, 3070, 13654, 7224, 627, 2520, 1521, 4236, 433, 374, 5995, 311, 3493, 10708, 369, 26081, 311, 4430, 872, 25481, 13, 2435, 1205, 311, 1440, 430, 872, 24087, 527, 4725, 13, 11205, 25481, 8541, 311, 52280, 1884, 315, 12884, 11, 3686, 814, 1253, 1101, 14085, 304, 264, 1716, 4908, 11827, 13, 578, 13803, 315, 3284, 5435, 369, 420, 4325, 5575, 2997, 512, 12, 20636, 19428, 21958, 323, 1694, 46243, 311, 4358, 1124, 449, 872, 3070, 627, 12, 20636, 38575, 323, 6212, 85160, 280, 12, 1398, 32836, 11627, 8381, 25082, 477, 75362, 280, 12, 40374, 5977, 7106, 5435, 1778, 439, 436, 14380, 11, 74502, 5435, 11, 51643, 477, 4785, 8895, 477, 4814, 280, 12, 20636, 8841, 437, 13795, 13803, 1778, 439, 55403, 280, 12, 17855, 287, 8850, 315, 9564, 2162, 280, 12, 35106, 287, 904, 66697, 315, 279, 21426, 280, 12, 74658, 16390, 369, 539, 3815, 810, 280, 12, 3161, 81949, 323, 13490, 2802, 304, 2978, 323, 5255, 14734, 22639, 280, 12, 35106, 287, 2978, 323, 14584, 990, 280, 12, 20636, 264, 25983, 4907, 2237, 280, 12, 74658, 80008, 11, 945, 33337, 11, 75323, 323, 5255, 42642, 280, 12, 20636, 66153, 11555, 280, 12, 52743, 6427, 2403, 5718, 280, 12, 74658, 60214, 323, 87719, 5326, 4737, 28198, 280, 12, 12362, 13200, 477, 1023, 11217, 26, 323, 198, 12, 40374, 5977, 1624, 258, 17187, 7865, 627, 3923, 649, 387, 2884, 311, 1520, 1521, 4236, 5380, 12, 11736, 1124, 2733, 304, 2585, 555, 3515, 1124, 1304, 1063, 11429, 627, 12, 1050, 395, 554, 1124, 430, 814, 1550, 682, 814, 1436, 520, 279, 892, 627, 12, 17375, 3748, 349, 264, 1912, 315, 26081, 311, 4358, 279, 21426, 627, 12, 39274, 20852, 304, 3674, 7640, 323, 5255, 74175, 449, 26081, 627, 12, 40665, 5066, 6666, 323, 69130, 627, 12, 40665, 264, 14348, 719, 387, 19303, 627, 12, 68685, 17078, 369, 264, 892, 627, 12, 10984, 61140, 20852, 304, 56228, 9045, 627, 12, 30839, 6721, 1520, 627, 30119, 42419, 47802, 323, 6150, 71077, 3053, 54349, 4314, 20783, 198, 12, 12040, 892, 311, 10772, 6261, 38683, 11, 5423, 422, 279, 21426, 11754, 499, 16102, 627, 12, 2893, 8010, 430, 904, 1716, 889, 15746, 3754, 10401, 315, 279, 21426, 649, 3719, 264, 330, 19217, 11996, 1, 323, 649, 7831, 14604, 323, 7106, 5435, 1524, 422, 814, 3974, 3201, 505, 279, 21426, 627, 12, 2893, 16614, 311, 13042, 12062, 4315, 2911, 627, 12, 6914, 2911, 1440, 430, 433, 374, 4725, 311, 2733, 23268, 323, 63757, 1306, 1694, 15246, 311, 264, 31926, 627, 12, 40665, 459, 6776, 369, 2911, 889, 1390, 311, 3137, 922, 279, 1567, 311, 3237, 872, 11555, 323, 16024, 627, 12, 78138, 279, 1314, 315, 1063, 2911, 311, 5766, 904, 10430, 627, 12, 35106, 11763, 21976, 18815, 279, 1567, 430, 1253, 387, 34973, 311, 1063, 2911, 627, 12, 22559, 872, 4860, 449, 48948, 11, 3686, 387, 10015, 1701, 4339, 430, 2911, 6847, 3619, 627, 12, 68301, 304, 38650, 3878, 627, 12, 1050, 395, 554, 279, 4236, 430, 279, 1567, 374, 927, 323, 430, 12884, 690, 656, 4395, 3284, 311, 2567, 1124, 6220, 627, 12, 40665, 14734, 61450, 369, 1521, 2911, 627, 12, 40665, 459, 17057, 24978, 430, 649, 8854, 439, 264, 6220, 9167, 627, 12, 71994, 430, 1063, 315, 1521, 2911, 1253, 387, 9193, 19021, 11, 50682, 477, 12703, 627, 12, 2893, 8010, 315, 31854, 430, 1253, 5353, 35104, 1778, 439, 3738, 32369, 300, 11, 7640, 11, 477, 44583, 430, 814, 1253, 22712, 449, 279, 21426, 627, 12, 8976, 553, 430, 433, 690, 1935, 892, 369, 279, 4236, 311, 7652, 627, 12, 1442, 25660, 8475, 4430, 7493, 315, 51751, 430, 20461, 594, 4008, 2301, 323, 430, 617, 19543, 304, 264, 471, 311, 264, 1054, 943, 4725, 49216, 12, 25510, 10708, 369, 2911, 311, 4128, 9364, 315, 872, 19301, 323, 8530, 9364, 430, 4097, 872, 3938, 16388, 627, 12, 362, 2978, 62475, 477, 2128, 315, 10723, 2890, 15749, 1253, 1390, 311, 3063, 20954, 449, 2911, 304, 58216, 477, 304, 2678, 5315, 13, 320, 9290, 25, 422, 279, 2911, 527, 653, 52397, 11, 2610, 1124, 311, 3350, 1523, 872, 16024, 477, 4860, 73251, 11, 1522, 1124, 311, 279, 4156, 323, 1243, 1373, 323, 4358, 1124, 439, 264, 1912, 29275, 12, 6150, 86347, 1253, 1390, 311, 1005, 20156, 11, 15241, 65301, 11, 1989, 11, 1514, 11, 6603, 11, 11782, 4477, 11, 24685, 11, 4731, 11, 20954, 477, 3953, 311, 1520, 1521, 2911, 4048, 5627, 311, 37586, 449, 872, 21958, 323, 74884, 32606, 13, 30440, 42316, 1253, 1101, 387, 9076, 627, 12, 23588, 264, 6574, 369, 6699, 311, 4358, 279, 21426, 11, 311, 4430, 10742, 922, 872, 2911, 59, 15, 16141, 20, 82, 25481, 323, 311, 13488, 5627, 2978, 4443, 323, 6699, 649, 990, 3871, 369, 8935, 315, 279, 4236, 627, 12, 1442, 43303, 11, 923, 1862, 5687, 2391, 11, 1603, 11, 323, 1306, 2978, 627, 12, 3277, 3284, 1520, 4667, 8689, 311, 4029, 5070, 13, 40224, 13607, 1139, 279, 2978, 430, 649, 3568, 449, 3966, 5552, 311, 11983, 11, 40382, 11, 323, 8276, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848 ]
[ 128000, 64469, 21266, 3459, 26622, 480, 2101, 25, 22172, 8964, 430, 279, 1455, 3062, 3245, 369, 682, 24869, 2391, 279, 1176, 1060, 315, 2324, 374, 279, 3021, 323, 6666, 315, 6699, 323, 264, 78216, 323, 9498, 10173, 13, 29560, 38925, 11, 34072, 11, 323, 1023, 5540, 527, 5995, 369, 279, 8945, 753, 6650, 323, 6300, 4500, 627, 2173, 3388, 11, 17659, 14403, 374, 279, 1888, 2592, 315, 682, 279, 7718, 6956, 11, 719, 7170, 433, 8741, 430, 5933, 26040, 9221, 12266, 477, 1587, 539, 3493, 279, 8945, 449, 682, 279, 5995, 37493, 13, 1628, 1243, 8945, 15150, 4131, 311, 279, 17629, 11, 902, 18528, 304, 3878, 315, 37493, 323, 872, 3392, 323, 4367, 11595, 374, 5115, 3345, 311, 279, 18528, 315, 17659, 14403, 627, 11769, 2748, 17011, 449, 279, 1205, 311, 19678, 14403, 15150, 1139, 813, 477, 1077, 8945, 753, 10173, 374, 29991, 555, 279, 8205, 315, 16097, 323, 5144, 315, 8945, 3691, 13, 1102, 374, 539, 4228, 311, 21546, 1555, 682, 430, 279, 3157, 706, 311, 3085, 13, 1628, 520, 279, 1890, 892, 11, 810, 323, 810, 6699, 10932, 7665, 8945, 15150, 15603, 369, 872, 2697, 6305, 13, 2100, 3249, 374, 8945, 3691, 505, 279, 10013, 30240, 304, 23354, 5380, 96144, 8945, 15150, 555, 18528, 323, 6012, 198, 28268, 323, 3430, 527, 7718, 719, 539, 279, 1925, 9547, 304, 19301, 8945, 3691, 13, 1666, 369, 3430, 11, 1070, 649, 387, 912, 2867, 43321, 5597, 13, 2684, 374, 459, 9647, 430, 264, 810, 11646, 2027, 690, 387, 315, 5190, 4367, 555, 1670, 13, 1952, 279, 1023, 1450, 11, 1070, 527, 1690, 10507, 1405, 24869, 1051, 2731, 10434, 555, 4827, 41238, 8945, 3691, 505, 2254, 17032, 13, 44026, 1288, 539, 10894, 430, 420, 2027, 690, 617, 311, 387, 15075, 15870, 11, 323, 814, 1288, 387, 3025, 311, 656, 779, 627, 644, 904, 1162, 11, 27397, 279, 1314, 3691, 374, 5922, 13126, 8945, 15150, 505, 15062, 17032, 11, 369, 3187, 11, 5526, 3956, 315, 7665, 16097, 1778, 439, 16071, 273, 11, 39217, 21606, 11, 21694, 4505, 11, 66414, 55694, 11, 323, 4567, 321, 582, 627, 4071, 433, 374, 1790, 810, 3062, 311, 617, 264, 1695, 8830, 315, 279, 4595, 315, 3691, 13, 5629, 11, 1855, 4325, 7612, 264, 3230, 18528, 13, 578, 8592, 8670, 527, 9277, 389, 15657, 369, 46397, 82, 13, 578, 2547, 315, 264, 46397, 8945, 374, 2103, 5115, 16614, 13, 15636, 11, 279, 18528, 315, 10013, 8945, 55179, 374, 26549, 35319, 555, 2383, 13, 22607, 753, 14403, 374, 279, 8197, 369, 31383, 55179, 11, 902, 3493, 279, 2547, 449, 35719, 323, 15525, 13128, 627, 24105, 292, 8945, 3691, 16097, 1778, 439, 21694, 4505, 47032, 5933, 2136, 323, 1005, 1193, 15499, 14400, 17808, 14403, 439, 279, 7257, 3769, 369, 872, 8945, 14403, 55179, 13, 578, 21694, 4505, 44037, 2440, 389, 8945, 3691, 14519, 374, 264, 15803, 315, 1948, 22867, 3956, 430, 3449, 279, 7452, 478, 8670, 315, 7665, 9323, 13543, 389, 17808, 3956, 627, 10445, 374, 433, 5922, 4560, 264, 7665, 8945, 15150, 5380, 3947, 527, 779, 1690, 16097, 315, 8945, 3691, 11, 779, 902, 832, 1288, 499, 5268, 369, 701, 8945, 30, 1102, 682, 4131, 1523, 311, 2380, 4382, 19476, 627, 2409, 10013, 17808, 28706, 11, 8945, 15150, 20628, 1579, 22867, 10886, 13, 2360, 28856, 26333, 11, 10437, 18724, 11, 477, 44315, 527, 3779, 311, 8945, 3691, 627, 9673, 2919, 11, 1455, 6699, 1541, 1431, 2343, 6666, 311, 279, 2440, 449, 279, 2027, 753, 18528, 13, 1789, 264, 3450, 889, 34672, 922, 1077, 8945, 753, 2890, 11, 21694, 4505, 36755, 1579, 22867, 14293, 25, 1855, 2027, 37771, 288, 810, 1109, 220, 11387, 4367, 7177, 627, 11769, 8945, 374, 5016, 304, 813, 477, 1077, 43226, 3966, 323, 36263, 13, 7665, 16097, 30847, 1855, 15150, 449, 264, 3230, 7580, 323, 2980, 24869, 529, 3966, 627, 3923, 11384, 356, 486, 42743, 393, 60384, 25, 356, 486, 42743, 281, 60384, 19813, 311, 264, 64908, 19823, 430, 374, 9057, 555, 8271, 5674, 439, 264, 1121, 1131, 128001, 128000, 10445, 374, 433, 23911, 304, 3298, 1966, 311, 1304, 459, 5066, 3094, 1603, 29040, 264, 1376, 30, 15166, 220, 16, 25, 12976, 21879, 459, 384, 11724, 1984, 323, 568, 6944, 311, 6013, 449, 264, 1376, 13, 578, 1376, 374, 539, 9621, 13, 15166, 220, 17, 25, 16973, 78, 9522, 13347, 1070, 91597, 364, 67, 1205, 311, 7637, 856, 19015, 505, 279, 8661, 1160, 13, 358, 10932, 311, 7637, 439, 21705, 11, 719, 279, 1052, 374, 8066, 304, 28545, 41898, 358, 1440, 11, 28545, 649, 387, 16489, 311, 21705, 13, 578, 1486, 374, 430, 10211, 9522, 13347, 1070, 11, 358, 23700, 459, 21705, 11071, 449, 5144, 323, 384, 11724, 1008, 44357, 13, 9479, 358, 4183, 304, 4470, 11130, 29, 502, 1984, 662, 3896, 4961, 323, 8599, 279, 33859, 1160, 311, 433, 13, 578, 6067, 4691, 757, 311, 272, 1131, 128001, 128000, 1687, 617, 264, 7982, 11, 15603, 8427, 4009, 13, 5751, 8717, 16343, 872, 2254, 6677, 315, 279, 27692, 3157, 11, 14640, 323, 17959, 449, 1057, 17033, 2134, 315, 27692, 3241, 3956, 311, 6493, 323, 1862, 264, 734, 750, 9257, 6425, 41891, 311, 279, 842, 6130, 596, 3230, 990, 28555, 323, 11618, 13, 5321, 1833, 279, 7902, 389, 279, 2472, 3770, 311, 1505, 704, 810, 922, 3230, 8717, 304, 701, 3224, 315, 2802, 627, 9241, 8475, 584, 11840, 3157, 6522, 5557, 2949, 1057, 3956, 311, 6493, 7319, 5990, 315, 31638, 11, 5178, 323, 3938, 11311, 287, 13, 15281, 810, 922, 1057, 5557, 8717, 627, 2520, 810, 1109, 220, 605, 1667, 11, 1057, 6992, 15664, 449, 91324, 706, 19543, 304, 927, 220, 4728, 5838, 969, 4026, 30779, 6067, 15603, 304, 1862, 315, 279, 91324, 78133, 13, 9369, 1618, 369, 91324, 32413, 13207, 13, 128001, 128000, 4516, 7752, 11, 602, 1005, 34757, 4317, 1064, 323, 574, 20910, 422, 904, 315, 499, 617, 264, 3575, 994, 8558, 304, 311, 19777, 1606, 433, 656, 729, 956, 4667, 682, 279, 1648, 13, 358, 16869, 2713, 449, 420, 11, 323, 574, 20910, 422, 5606, 7020, 279, 3575, 5380, 1016, 1900, 264, 4279, 3575, 1377, 6438, 35047, 2181, 5900, 1523, 15320, 4999, 40, 5616, 1120, 3940, 25695, 709, 856, 662, 19571, 1555, 7972, 17111, 304, 1162, 2555, 8741, 311, 433, 0, 128001, 128000, 86340, 14203, 505, 53449, 753, 2380, 1579, 8853, 1051, 28284, 369, 11230, 1614, 22279, 40161, 304, 264, 8205, 315, 10034, 13, 11064, 555, 18063, 29868, 13299, 1411, 10576, 392, 399, 48081, 627, 1688, 2212, 220, 20, 281, 749, 13, 5587, 220, 1691, 11, 264, 13734, 315, 4029, 3697, 323, 3363, 6164, 85623, 439, 2380, 34480, 2539, 315, 5575, 12, 589, 14203, 23980, 709, 311, 4409, 11166, 41407, 304, 53449, 627, 4959, 5951, 574, 369, 832, 315, 53449, 753, 2380, 1579, 8853, 11, 323, 1051, 37109, 449, 1450, 2320, 31329, 12195, 430, 1071, 2574, 1093, 1054, 2513, 71581, 2029, 20277, 14203, 505, 1855, 1579, 2978, 15662, 279, 2316, 315, 1614, 34838, 420, 12688, 3280, 627, 791, 23579, 2751, 1022, 279, 34480, 323, 1051, 44865, 555, 74983, 505, 279, 4029, 1603, 36471, 709, 389, 279, 7504, 315, 4409, 11166, 627, 15085, 527, 779, 1633, 12691, 13, 2684, 527, 810, 25363, 4236, 1109, 499, 1518, 1618, 11, 719, 3432, 584, 527, 79025, 1521, 8056, 34880, 31839, 323, 358, 7846, 1431, 387, 550, 283, 1126, 2476, 53449, 22868, 35336, 6984, 355, 1071, 627, 791, 1614, 34838, 505, 53449, 2997, 53449, 5234, 6150, 753, 13305, 19794, 2128, 11, 53449, 19149, 1068, 5234, 6150, 753, 26085, 2128, 323, 3927, 24269, 18824, 11, 53449, 63941, 5234, 6150, 753, 26085, 2128, 323, 3927, 83162, 627, 6153, 6984, 355, 1071, 264, 2478, 4339, 315, 51475, 11, 279, 24909, 323, 2128, 90984, 315, 1855, 10775, 12570, 922, 279, 3280, 323, 872, 20081, 46146, 13, 578, 1176, 2128, 24862, 311, 6604, 574, 12758, 426, 448, 287, 373, 505, 279, 53449, 13305, 19794, 2128, 627, 10378, 7070, 1093, 311, 9901, 499, 682, 369, 1694, 1618, 369, 420, 25960, 13, 578, 1862, 323, 3021, 584, 4070, 4036, 439, 264, 2128, 6957, 420, 4553, 11879, 706, 9615, 1903, 603, 2733, 3361, 2476, 426, 448, 287, 373, 1071, 627, 33, 448, 287, 373, 8738, 311, 9901, 5127, 889, 3782, 311, 53449, 5234, 6150, 19794, 3953, 323, 279, 24909, 369, 51346, 279, 2128, 323, 35090, 304, 872, 18000, 13, 426, 448, 287, 373, 9670, 813, 8982, 555, 5605, 1054, 49, 3378, 38481, 2029, 1283, 574, 22797, 311, 38481, 67011, 301, 11, 889, 574, 279, 19794, 2128, 6783, 369, 7154, 1403, 11026, 1603, 568, 8636, 304, 6250, 220, 2366, 16, 627, 32, 392, 399, 63941, 5234, 6150, 753, 23579, 1051, 11784, 520, 279, 25960, 11, 6041, 449, 24298, 11511, 11, 889, 2834, 279, 2978, 753, 11999, 1614, 22279, 304, 36540, 13, 11511, 1071, 433, 574, 459, 12738, 3217, 311, 11322, 264, 5915, 568, 7070, 1027, 3318, 9017, 369, 220, 605, 1667, 627, 6153, 11511, 12570, 11, 63941, 753, 26085, 2128, 574, 15324, 369, 11230, 279, 1847, 1938, 2678, 1614, 22279, 13, 28275, 94425, 36259, 30524, 11, 889, 3940, 24826, 279, 2128, 3116, 1667, 4227, 11, 12570, 922, 279, 33834, 323, 40291, 279, 2128, 17011, 420, 3280, 627, 31378, 1912, 315, 26085, 79486, 11, 422, 358, 1047, 832, 3492, 311, 7664, 1124, 11, 358, 1781, 433, 1053, 387, 19310, 13, 7357, 3254, 832, 315, 1521, 26085, 79486, 2231, 304, 28701, 4207, 323, 814, 13942, 636, 4791, 456, 71, 388, 449, 872, 4885, 323, 8689, 311, 2216, 1501, 430, 814, 3021, 420, 2128, 2476, 30524, 1071, 627, 32, 392, 399, 19149, 1068, 5234, 6150, 23579, 1051, 15324, 1306, 279, 63941, 26085, 2128, 1550, 832, 315, 872, 26085, 30597, 13, 19149, 1068, 753, 6941, 2009, 2834, 279, 1614, 22279, 304, 279, 13305, 220, 1135, 37839, 3541, 38483, 48232, 7102, 13, 28275, 67312, 57686, 21493, 12570, 922, 279, 12845, 627, 2356, 12570, 922, 1268, 813, 3450, 1903, 1461, 16587, 439, 264, 10585, 323, 568, 38674, 433, 11, 719, 439, 568, 14264, 9191, 11, 568, 14264, 1139, 279, 10775, 13, 2009, 57595, 57686, 21493, 369, 24826, 1461, 323, 1071, 568, 16388, 568, 15160, 1614, 1578, 1828, 1060, 627, 791, 1620, 2128, 311, 636, 26579, 574, 19149, 1068, 753, 26085, 2128, 11, 889, 539, 1193, 2834, 279, 1847, 1938, 11298, 1614, 22279, 11, 719, 1101, 279, 5426, 22279, 627, 12626, 7395, 1443, 3444, 6295, 5981, 12570, 311, 279, 2128, 753, 53881, 627, 6153, 19149, 1068, 753, 26085, 2128, 1550, 832, 315, 872, 30597, 11, 279, 7411, 37260, 304, 4156, 315, 279, 20396, 311, 4409, 11166, 449, 279, 17352, 323, 1023, 3363, 7510, 13, 128001 ]
[ -100, 64469, 21266, 3459, 26622, 480, 2101, 25, 22172, 8964, 430, 279, 1455, 3062, 3245, 369, 682, 24869, 2391, 279, 1176, 1060, 315, 2324, 374, 279, 3021, 323, 6666, 315, 6699, 323, 264, 78216, 323, 9498, 10173, 13, 29560, 38925, 11, 34072, 11, 323, 1023, 5540, 527, 5995, 369, 279, 8945, 753, 6650, 323, 6300, 4500, 627, 2173, 3388, 11, 17659, 14403, 374, 279, 1888, 2592, 315, 682, 279, 7718, 6956, 11, 719, 7170, 433, 8741, 430, 5933, 26040, 9221, 12266, 477, 1587, 539, 3493, 279, 8945, 449, 682, 279, 5995, 37493, 13, 1628, 1243, 8945, 15150, 4131, 311, 279, 17629, 11, 902, 18528, 304, 3878, 315, 37493, 323, 872, 3392, 323, 4367, 11595, 374, 5115, 3345, 311, 279, 18528, 315, 17659, 14403, 627, 11769, 2748, 17011, 449, 279, 1205, 311, 19678, 14403, 15150, 1139, 813, 477, 1077, 8945, 753, 10173, 374, 29991, 555, 279, 8205, 315, 16097, 323, 5144, 315, 8945, 3691, 13, 1102, 374, 539, 4228, 311, 21546, 1555, 682, 430, 279, 3157, 706, 311, 3085, 13, 1628, 520, 279, 1890, 892, 11, 810, 323, 810, 6699, 10932, 7665, 8945, 15150, 15603, 369, 872, 2697, 6305, 13, 2100, 3249, 374, 8945, 3691, 505, 279, 10013, 30240, 304, 23354, 5380, 96144, 8945, 15150, 555, 18528, 323, 6012, 198, 28268, 323, 3430, 527, 7718, 719, 539, 279, 1925, 9547, 304, 19301, 8945, 3691, 13, 1666, 369, 3430, 11, 1070, 649, 387, 912, 2867, 43321, 5597, 13, 2684, 374, 459, 9647, 430, 264, 810, 11646, 2027, 690, 387, 315, 5190, 4367, 555, 1670, 13, 1952, 279, 1023, 1450, 11, 1070, 527, 1690, 10507, 1405, 24869, 1051, 2731, 10434, 555, 4827, 41238, 8945, 3691, 505, 2254, 17032, 13, 44026, 1288, 539, 10894, 430, 420, 2027, 690, 617, 311, 387, 15075, 15870, 11, 323, 814, 1288, 387, 3025, 311, 656, 779, 627, 644, 904, 1162, 11, 27397, 279, 1314, 3691, 374, 5922, 13126, 8945, 15150, 505, 15062, 17032, 11, 369, 3187, 11, 5526, 3956, 315, 7665, 16097, 1778, 439, 16071, 273, 11, 39217, 21606, 11, 21694, 4505, 11, 66414, 55694, 11, 323, 4567, 321, 582, 627, 4071, 433, 374, 1790, 810, 3062, 311, 617, 264, 1695, 8830, 315, 279, 4595, 315, 3691, 13, 5629, 11, 1855, 4325, 7612, 264, 3230, 18528, 13, 578, 8592, 8670, 527, 9277, 389, 15657, 369, 46397, 82, 13, 578, 2547, 315, 264, 46397, 8945, 374, 2103, 5115, 16614, 13, 15636, 11, 279, 18528, 315, 10013, 8945, 55179, 374, 26549, 35319, 555, 2383, 13, 22607, 753, 14403, 374, 279, 8197, 369, 31383, 55179, 11, 902, 3493, 279, 2547, 449, 35719, 323, 15525, 13128, 627, 24105, 292, 8945, 3691, 16097, 1778, 439, 21694, 4505, 47032, 5933, 2136, 323, 1005, 1193, 15499, 14400, 17808, 14403, 439, 279, 7257, 3769, 369, 872, 8945, 14403, 55179, 13, 578, 21694, 4505, 44037, 2440, 389, 8945, 3691, 14519, 374, 264, 15803, 315, 1948, 22867, 3956, 430, 3449, 279, 7452, 478, 8670, 315, 7665, 9323, 13543, 389, 17808, 3956, 627, 10445, 374, 433, 5922, 4560, 264, 7665, 8945, 15150, 5380, 3947, 527, 779, 1690, 16097, 315, 8945, 3691, 11, 779, 902, 832, 1288, 499, 5268, 369, 701, 8945, 30, 1102, 682, 4131, 1523, 311, 2380, 4382, 19476, 627, 2409, 10013, 17808, 28706, 11, 8945, 15150, 20628, 1579, 22867, 10886, 13, 2360, 28856, 26333, 11, 10437, 18724, 11, 477, 44315, 527, 3779, 311, 8945, 3691, 627, 9673, 2919, 11, 1455, 6699, 1541, 1431, 2343, 6666, 311, 279, 2440, 449, 279, 2027, 753, 18528, 13, 1789, 264, 3450, 889, 34672, 922, 1077, 8945, 753, 2890, 11, 21694, 4505, 36755, 1579, 22867, 14293, 25, 1855, 2027, 37771, 288, 810, 1109, 220, 11387, 4367, 7177, 627, 11769, 8945, 374, 5016, 304, 813, 477, 1077, 43226, 3966, 323, 36263, 13, 7665, 16097, 30847, 1855, 15150, 449, 264, 3230, 7580, 323, 2980, 24869, 529, 3966, 627, 3923, 11384, 356, 486, 42743, 393, 60384, 25, 356, 486, 42743, 281, 60384, 19813, 311, 264, 64908, 19823, 430, 374, 9057, 555, 8271, 5674, 439, 264, 1121, 1131, 128001, -100, 10445, 374, 433, 23911, 304, 3298, 1966, 311, 1304, 459, 5066, 3094, 1603, 29040, 264, 1376, 30, 15166, 220, 16, 25, 12976, 21879, 459, 384, 11724, 1984, 323, 568, 6944, 311, 6013, 449, 264, 1376, 13, 578, 1376, 374, 539, 9621, 13, 15166, 220, 17, 25, 16973, 78, 9522, 13347, 1070, 91597, 364, 67, 1205, 311, 7637, 856, 19015, 505, 279, 8661, 1160, 13, 358, 10932, 311, 7637, 439, 21705, 11, 719, 279, 1052, 374, 8066, 304, 28545, 41898, 358, 1440, 11, 28545, 649, 387, 16489, 311, 21705, 13, 578, 1486, 374, 430, 10211, 9522, 13347, 1070, 11, 358, 23700, 459, 21705, 11071, 449, 5144, 323, 384, 11724, 1008, 44357, 13, 9479, 358, 4183, 304, 4470, 11130, 29, 502, 1984, 662, 3896, 4961, 323, 8599, 279, 33859, 1160, 311, 433, 13, 578, 6067, 4691, 757, 311, 272, 1131, 128001, -100, 1687, 617, 264, 7982, 11, 15603, 8427, 4009, 13, 5751, 8717, 16343, 872, 2254, 6677, 315, 279, 27692, 3157, 11, 14640, 323, 17959, 449, 1057, 17033, 2134, 315, 27692, 3241, 3956, 311, 6493, 323, 1862, 264, 734, 750, 9257, 6425, 41891, 311, 279, 842, 6130, 596, 3230, 990, 28555, 323, 11618, 13, 5321, 1833, 279, 7902, 389, 279, 2472, 3770, 311, 1505, 704, 810, 922, 3230, 8717, 304, 701, 3224, 315, 2802, 627, 9241, 8475, 584, 11840, 3157, 6522, 5557, 2949, 1057, 3956, 311, 6493, 7319, 5990, 315, 31638, 11, 5178, 323, 3938, 11311, 287, 13, 15281, 810, 922, 1057, 5557, 8717, 627, 2520, 810, 1109, 220, 605, 1667, 11, 1057, 6992, 15664, 449, 91324, 706, 19543, 304, 927, 220, 4728, 5838, 969, 4026, 30779, 6067, 15603, 304, 1862, 315, 279, 91324, 78133, 13, 9369, 1618, 369, 91324, 32413, 13207, 13, 128001, -100, 4516, 7752, 11, 602, 1005, 34757, 4317, 1064, 323, 574, 20910, 422, 904, 315, 499, 617, 264, 3575, 994, 8558, 304, 311, 19777, 1606, 433, 656, 729, 956, 4667, 682, 279, 1648, 13, 358, 16869, 2713, 449, 420, 11, 323, 574, 20910, 422, 5606, 7020, 279, 3575, 5380, 1016, 1900, 264, 4279, 3575, 1377, 6438, 35047, 2181, 5900, 1523, 15320, 4999, 40, 5616, 1120, 3940, 25695, 709, 856, 662, 19571, 1555, 7972, 17111, 304, 1162, 2555, 8741, 311, 433, 0, 128001, -100, 86340, 14203, 505, 53449, 753, 2380, 1579, 8853, 1051, 28284, 369, 11230, 1614, 22279, 40161, 304, 264, 8205, 315, 10034, 13, 11064, 555, 18063, 29868, 13299, 1411, 10576, 392, 399, 48081, 627, 1688, 2212, 220, 20, 281, 749, 13, 5587, 220, 1691, 11, 264, 13734, 315, 4029, 3697, 323, 3363, 6164, 85623, 439, 2380, 34480, 2539, 315, 5575, 12, 589, 14203, 23980, 709, 311, 4409, 11166, 41407, 304, 53449, 627, 4959, 5951, 574, 369, 832, 315, 53449, 753, 2380, 1579, 8853, 11, 323, 1051, 37109, 449, 1450, 2320, 31329, 12195, 430, 1071, 2574, 1093, 1054, 2513, 71581, 2029, 20277, 14203, 505, 1855, 1579, 2978, 15662, 279, 2316, 315, 1614, 34838, 420, 12688, 3280, 627, 791, 23579, 2751, 1022, 279, 34480, 323, 1051, 44865, 555, 74983, 505, 279, 4029, 1603, 36471, 709, 389, 279, 7504, 315, 4409, 11166, 627, 15085, 527, 779, 1633, 12691, 13, 2684, 527, 810, 25363, 4236, 1109, 499, 1518, 1618, 11, 719, 3432, 584, 527, 79025, 1521, 8056, 34880, 31839, 323, 358, 7846, 1431, 387, 550, 283, 1126, 2476, 53449, 22868, 35336, 6984, 355, 1071, 627, 791, 1614, 34838, 505, 53449, 2997, 53449, 5234, 6150, 753, 13305, 19794, 2128, 11, 53449, 19149, 1068, 5234, 6150, 753, 26085, 2128, 323, 3927, 24269, 18824, 11, 53449, 63941, 5234, 6150, 753, 26085, 2128, 323, 3927, 83162, 627, 6153, 6984, 355, 1071, 264, 2478, 4339, 315, 51475, 11, 279, 24909, 323, 2128, 90984, 315, 1855, 10775, 12570, 922, 279, 3280, 323, 872, 20081, 46146, 13, 578, 1176, 2128, 24862, 311, 6604, 574, 12758, 426, 448, 287, 373, 505, 279, 53449, 13305, 19794, 2128, 627, 10378, 7070, 1093, 311, 9901, 499, 682, 369, 1694, 1618, 369, 420, 25960, 13, 578, 1862, 323, 3021, 584, 4070, 4036, 439, 264, 2128, 6957, 420, 4553, 11879, 706, 9615, 1903, 603, 2733, 3361, 2476, 426, 448, 287, 373, 1071, 627, 33, 448, 287, 373, 8738, 311, 9901, 5127, 889, 3782, 311, 53449, 5234, 6150, 19794, 3953, 323, 279, 24909, 369, 51346, 279, 2128, 323, 35090, 304, 872, 18000, 13, 426, 448, 287, 373, 9670, 813, 8982, 555, 5605, 1054, 49, 3378, 38481, 2029, 1283, 574, 22797, 311, 38481, 67011, 301, 11, 889, 574, 279, 19794, 2128, 6783, 369, 7154, 1403, 11026, 1603, 568, 8636, 304, 6250, 220, 2366, 16, 627, 32, 392, 399, 63941, 5234, 6150, 753, 23579, 1051, 11784, 520, 279, 25960, 11, 6041, 449, 24298, 11511, 11, 889, 2834, 279, 2978, 753, 11999, 1614, 22279, 304, 36540, 13, 11511, 1071, 433, 574, 459, 12738, 3217, 311, 11322, 264, 5915, 568, 7070, 1027, 3318, 9017, 369, 220, 605, 1667, 627, 6153, 11511, 12570, 11, 63941, 753, 26085, 2128, 574, 15324, 369, 11230, 279, 1847, 1938, 2678, 1614, 22279, 13, 28275, 94425, 36259, 30524, 11, 889, 3940, 24826, 279, 2128, 3116, 1667, 4227, 11, 12570, 922, 279, 33834, 323, 40291, 279, 2128, 17011, 420, 3280, 627, 31378, 1912, 315, 26085, 79486, 11, 422, 358, 1047, 832, 3492, 311, 7664, 1124, 11, 358, 1781, 433, 1053, 387, 19310, 13, 7357, 3254, 832, 315, 1521, 26085, 79486, 2231, 304, 28701, 4207, 323, 814, 13942, 636, 4791, 456, 71, 388, 449, 872, 4885, 323, 8689, 311, 2216, 1501, 430, 814, 3021, 420, 2128, 2476, 30524, 1071, 627, 32, 392, 399, 19149, 1068, 5234, 6150, 23579, 1051, 15324, 1306, 279, 63941, 26085, 2128, 1550, 832, 315, 872, 26085, 30597, 13, 19149, 1068, 753, 6941, 2009, 2834, 279, 1614, 22279, 304, 279, 13305, 220, 1135, 37839, 3541, 38483, 48232, 7102, 13, 28275, 67312, 57686, 21493, 12570, 922, 279, 12845, 627, 2356, 12570, 922, 1268, 813, 3450, 1903, 1461, 16587, 439, 264, 10585, 323, 568, 38674, 433, 11, 719, 439, 568, 14264, 9191, 11, 568, 14264, 1139, 279, 10775, 13, 2009, 57595, 57686, 21493, 369, 24826, 1461, 323, 1071, 568, 16388, 568, 15160, 1614, 1578, 1828, 1060, 627, 791, 1620, 2128, 311, 636, 26579, 574, 19149, 1068, 753, 26085, 2128, 11, 889, 539, 1193, 2834, 279, 1847, 1938, 11298, 1614, 22279, 11, 719, 1101, 279, 5426, 22279, 627, 12626, 7395, 1443, 3444, 6295, 5981, 12570, 311, 279, 2128, 753, 53881, 627, 6153, 19149, 1068, 753, 26085, 2128, 1550, 832, 315, 872, 30597, 11, 279, 7411, 37260, 304, 4156, 315, 279, 20396, 311, 4409, 11166, 449, 279, 17352, 323, 1023, 3363, 7510, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 34, 13584, 645, 527, 16106, 537, 2747, 323, 1716, 5621, 3329, 13077, 5918, 311, 2532, 279, 469, 877, 9331, 5987, 734, 315, 5907, 18811, 35607, 13, 4314, 49926, 26326, 46569, 388, 1051, 20968, 2212, 279, 1917, 311, 9778, 2109, 454, 6468, 279, 9420, 449, 12966, 3131, 279, 49554, 8182, 574, 6052, 311, 264, 14464, 481, 1614, 627, 791, 4656, 329, 645, 1051, 6319, 311, 312, 20653, 48945, 22706, 311, 279, 1917, 3131, 279, 49554, 8182, 1047, 1027, 28101, 311, 14464, 481, 5990, 13, 2057, 656, 779, 11, 814, 13282, 1167, 49865, 6429, 9967, 304, 16106, 29569, 25288, 11, 439, 1664, 439, 21075, 2413, 1302, 369, 13033, 367, 11, 1716, 5621, 3329, 13077, 11, 323, 28598, 7447, 1355, 651, 12170, 311, 8854, 439, 46679, 12678, 369, 279, 2911, 627, 32, 8792, 961, 315, 279, 4656, 72455, 13077, 574, 279, 8292, 315, 10314, 1971, 1623, 11, 902, 1053, 39170, 279, 502, 12966, 922, 279, 10846, 4435, 323, 1268, 539, 311, 13454, 872, 62540, 6, 21294, 13, 4452, 11, 4245, 311, 23989, 13759, 78, 596, 80753, 11, 420, 1053, 2646, 2586, 311, 94706, 627, 9023, 13, 328, 15784, 377, 596, 72927, 2453, 17219, 311, 27438, 5987, 5343, 264, 2472, 315, 13205, 4656, 72455, 10687, 25, 1521, 10687, 5343, 3118, 11477, 9822, 11, 8524, 11, 6890, 11, 21139, 11, 323, 73778, 13, 4452, 11, 2728, 279, 4732, 315, 279, 13759, 78, 1856, 4768, 596, 12178, 11, 433, 374, 25420, 1268, 1690, 315, 1521, 4656, 329, 645, 1051, 8308, 304, 892, 13, 20817, 389, 279, 79362, 1887, 11, 433, 649, 387, 62357, 430, 520, 3325, 11888, 4656, 329, 645, 1051, 8308, 1603, 279, 13759, 78, 1856, 4768, 627, 12, 469, 877, 9331, 5987, 12, 16, 574, 20968, 15038, 3221, 279, 70761, 64647, 17271, 304, 53342, 5734, 11, 65047, 31526, 279, 13759, 78, 1856, 4768, 13, 720, 12, 469, 877, 9331, 5987, 12, 17, 574, 20968, 4871, 10640, 31074, 24520, 304, 52543, 90929, 13, 20817, 389, 328, 15784, 377, 596, 72927, 2453, 11, 520, 3325, 1403, 810, 1051, 13205, 369, 8246, 304, 10384, 627, 12, 469, 877, 9331, 5987, 12, 24, 11, 279, 1193, 4656, 72455, 3970, 2949, 279, 1847, 11, 574, 20968, 304, 15745, 11, 7427, 627, 791, 10687, 315, 469, 877, 9331, 5987, 12, 18, 1555, 469, 877, 9331, 5987, 12, 23, 527, 9987, 13, 128001, 128000, 42785, 21988, 389, 279, 16730, 315, 279, 12781, 13, 11064, 16666, 25, 41135, 198, 4599, 584, 3137, 922, 1405, 323, 1268, 470, 81239, 527, 1511, 11, 8246, 11383, 1587, 539, 10205, 311, 279, 1948, 315, 279, 1160, 11, 719, 433, 2643, 387, 19946, 1070, 13, 578, 3728, 8246, 8752, 374, 4315, 279, 7928, 304, 279, 1917, 11, 323, 832, 315, 279, 7928, 13723, 315, 5070, 323, 4907, 13, 1102, 753, 1101, 832, 315, 279, 8706, 7230, 15928, 13, 4314, 9547, 527, 35271, 311, 6678, 7319, 7631, 369, 41329, 4028, 279, 4580, 13, 1219, 81239, 617, 264, 3560, 311, 1514, 627, 11439, 311, 1054, 11907, 24987, 220, 9639, 15, 2476, 4756, 555, 8121, 24987, 94985, 323, 26275, 35300, 320, 40672, 11, 549, 11606, 25390, 15603, 8246, 2612, 690, 3139, 555, 220, 5313, 4, 311, 400, 868, 13, 20, 32610, 555, 220, 9639, 15, 13, 7648, 315, 420, 6650, 690, 387, 304, 279, 549, 815, 2637, 5734, 323, 6890, 13, 578, 67493, 8674, 8121, 10181, 320, 3648, 4356, 11, 452, 7659, 2637, 549, 815, 6266, 6821, 430, 220, 1927, 3610, 502, 11983, 8316, 690, 387, 2631, 304, 279, 1917, 753, 220, 508, 7928, 9919, 555, 220, 2366, 20, 13, 7089, 3495, 505, 279, 8246, 5064, 5039, 430, 279, 8246, 5064, 374, 8647, 369, 220, 1419, 4, 315, 279, 3723, 4273, 529, 3805, 25793, 11, 220, 1272, 4, 315, 1202, 3090, 25793, 323, 220, 1135, 4, 315, 1202, 85634, 12571, 13, 763, 5369, 11, 279, 549, 815, 13, 7997, 17283, 9251, 2795, 14016, 323, 8246, 7224, 527, 8647, 369, 7154, 220, 1272, 4, 315, 3728, 4907, 15652, 1475, 1060, 627, 791, 3560, 315, 470, 81239, 304, 8246, 374, 28830, 11, 24950, 505, 3321, 10006, 818, 1147, 323, 45888, 99600, 311, 470, 81239, 312, 2308, 323, 24722, 5621, 258, 25229, 14509, 13, 4452, 814, 527, 1511, 11, 279, 30244, 287, 11, 2955, 25152, 323, 39665, 7720, 315, 470, 81239, 649, 1520, 4732, 8246, 323, 7417, 264, 4857, 753, 41329, 5573, 13, 18185, 420, 11, 1606, 470, 81239, 527, 2536, 12, 40984, 7384, 11, 872, 25375, 555, 56035, 706, 1027, 53399, 13, 2030, 420, 374, 264, 6650, 3157, 5922, 12798, 6666, 311, 627, 18293, 11, 369, 3187, 11, 279, 16730, 315, 279, 12781, 11, 1694, 20968, 304, 35138, 11, 3723, 10989, 49801, 320, 52, 13983, 570, 578, 220, 2495, 73601, 1579, 4857, 15316, 8254, 27035, 2949, 264, 5801, 355, 35831, 12811, 430, 23874, 47088, 264, 2380, 46199, 59136, 13, 578, 28362, 62716, 315, 279, 5801, 355, 41095, 220, 16, 11, 19592, 4027, 70210, 569, 519, 320, 10725, 8, 28814, 21988, 13, 2493, 329, 449, 25468, 9699, 11, 1855, 7090, 374, 264, 5016, 220, 18, 35, 6211, 323, 75762, 85760, 3502, 35217, 1650, 93170, 13, 578, 36612, 5429, 7739, 45319, 430, 7664, 279, 11376, 369, 35138, 753, 3938, 555, 5414, 5234, 2136, 72629, 46392, 9736, 60483, 307, 1708, 386, 10114, 283, 76, 11, 17192, 4872, 323, 10461, 13015, 315, 279, 47949, 323, 49080, 315, 279, 5867, 89440, 315, 35138, 13, 2435, 1101, 8854, 439, 279, 4857, 753, 11276, 11, 25146, 53121, 1555, 279, 3330, 12862, 15135, 323, 6968, 264, 22520, 2515, 520, 3814, 4669, 220, 975, 41668, 315, 18751, 13414, 18186, 627, 11874, 28814, 98834, 449, 264, 8776, 7732, 29561, 13, 37632, 690, 387, 44033, 2212, 682, 2380, 311, 1304, 264, 2380, 42866, 62716, 4124, 369, 1005, 304, 264, 4857, 304, 94865, 5657, 304, 26832, 11, 452, 7659, 2637, 549, 815, 13, 11064, 16666, 25, 39941, 198, 644, 26832, 11, 452, 7659, 2637, 549, 815, 2637, 470, 81239, 1511, 304, 64338, 15266, 9087, 4732, 8246, 315, 279, 220, 1774, 46199, 3861, 4987, 5629, 323, 279, 390, 72254, 220, 605, 10517, 11, 7559, 2949, 94865, 5657, 13, 4314, 14016, 2997, 264, 6485, 14509, 62716, 430, 2631, 19257, 29997, 367, 315, 11758, 315, 14509, 14418, 555, 30343, 42770, 561, 320, 62382, 8078, 11, 54297, 2637, 549, 815, 36434, 30343, 17045, 2758, 3486, 17005, 23508, 320, 70268, 11, 95893, 11, 14689, 11, 549, 815, 6266, 369, 1520, 311, 1977, 279, 98834, 311, 6211, 279, 14509, 14418, 13, 39941, 11, 902, 520, 279, 892, 1047, 1120, 19426, 1202, 1176, 34589, 1428, 3544, 39480, 64338, 15266, 320, 23433, 1428, 8, 18787, 35305, 5165, 32184, 33156, 505, 36239, 4953, 13, 320, 39, 51103, 11, 14689, 705, 6575, 449, 320, 878, 31142, 11, 96002, 11, 76626, 2637, 549, 815, 6266, 1174, 902, 1101, 706, 264, 34589, 1428, 11, 311, 13354, 349, 279, 7739, 13, 39941, 323, 2794, 31142, 6859, 279, 990, 6462, 11, 449, 39941, 17843, 220, 972, 315, 279, 220, 1806, 98834, 13, 9062, 3321, 4124, 29561, 11193, 922, 220, 20, 12, 21, 7693, 7029, 11, 220, 24, 12, 605, 7693, 16615, 323, 220, 845, 15271, 5655, 323, 50542, 922, 220, 2636, 16701, 627, 2520, 961, 315, 1202, 5788, 11, 39941, 14896, 459, 445, 27321, 350, 3087, 44, 7767, 52707, 6912, 24549, 11, 264, 1579, 17515, 19990, 11, 3428, 2695, 8035, 3769, 3196, 389, 37581, 449, 220, 508, 4, 38525, 12782, 24722, 72378, 17665, 555, 328, 1905, 1341, 320, 79894, 11, 32568, 2637, 549, 815, 36434, 39941, 2795, 433, 3952, 279, 34589, 1428, 5780, 220, 23, 12, 605, 4207, 311, 1977, 1855, 1647, 66470, 29561, 11, 8272, 555, 220, 19, 12, 23, 4207, 315, 98423, 323, 25270, 304, 264, 51799, 710, 320, 626, 363, 11, 14689, 11, 549, 815, 6266, 60797, 5780, 13, 578, 98834, 1051, 274, 6601, 311, 279, 2631, 15696, 11, 719, 539, 19584, 13, 39941, 2795, 279, 6912, 98834, 2631, 17162, 893, 77105, 311, 13354, 349, 11, 36513, 12207, 5129, 1109, 279, 7732, 98834, 814, 12860, 323, 5535, 279, 31072, 311, 4822, 389, 9899, 627, 60105, 279, 470, 81239, 5064, 11, 1070, 527, 12195, 315, 7351, 323, 39825, 315, 7384, 20034, 520, 8246, 13, 763, 3297, 220, 2366, 15, 11, 304, 2077, 311, 279, 20562, 12, 777, 28522, 11, 26232, 689, 32009, 320, 39, 86, 521, 647, 11, 4987, 12126, 705, 264, 47393, 15009, 323, 7384, 2883, 11, 7376, 449, 1202, 8717, 800, 12119, 320, 15423, 276, 11, 4987, 12126, 705, 264, 44993, 11983, 17276, 11, 323, 8246, 5557, 21210, 423, 1631, 52936, 320, 1542, 11206, 11, 4987, 12126, 705, 279, 3351, 3502, 5644, 93845, 519, 1244, 13235, 2209, 36062, 19074, 320, 44, 1669, 8, 311, 5266, 420, 1205, 12660, 304, 279, 1917, 13, 93845, 519, 1244, 68125, 374, 264, 6593, 31398, 14356, 16850, 264, 9689, 15144, 15135, 323, 459, 10309, 51957, 40090, 27505, 13763, 320, 27321, 53, 8, 1887, 311, 2585, 70863, 78284, 13, 1102, 374, 6319, 369, 11295, 14028, 439, 264, 71489, 1887, 369, 3428, 1355, 1631, 80797, 477, 49648, 12862, 20562, 12, 777, 29374, 477, 13893, 29374, 6978, 13, 2052, 279, 7241, 5995, 311, 3974, 45769, 369, 264, 8250, 315, 264, 2478, 5672, 527, 5052, 1139, 264, 17251, 220, 717, 13, 20, 34047, 23819, 320, 8878, 9518, 7693, 8, 5496, 44598, 13, 1115, 5764, 15197, 11, 14891, 11, 66433, 449, 4642, 3805, 506, 73931, 323, 8191, 315, 20695, 320, 43899, 51, 8, 15293, 26, 5918, 3502, 6007, 11, 6500, 11, 13726, 51478, 6614, 323, 44340, 53, 2671, 527, 2561, 627, 37156, 315, 356, 43489, 4857, 520, 70514, 86545, 323, 16261, 327, 72932, 12782, 24722, 5950, 73199, 16666, 25, 7388, 358, 324, 3893, 122550, 8115, 3178, 11, 473, 99566, 11, 70514, 86545, 323, 16261, 327, 72932, 198, 644, 5651, 11, 27766, 3907, 86545, 320, 99682, 86545, 8, 304, 10057, 7376, 279, 42080, 315, 8246, 369, 1202, 356, 44301, 13312, 17074, 3838, 356, 43489, 11, 24392, 3967, 439, 22208, 32651, 13, 70514, 86545, 8349, 279, 220, 8610, 34047, 73601, 11, 1403, 46199, 4857, 690, 387, 279, 1917, 753, 1176, 4857, 1903, 11622, 505, 12782, 24722, 5621, 258, 25229, 14509, 627, 644, 5887, 11, 73334, 3907, 320, 24188, 78281, 11, 2314, 2637, 549, 815, 6266, 5068, 430, 1202, 12074, 617, 8040, 264, 4827, 41238, 11, 22556, 323, 2886, 804, 1749, 369, 17843, 28814, 21126, 11, 264, 1749, 430, 73334, 2795, 374, 2736, 9298, 7982, 1862, 505, 3682, 5064, 4311, 1093, 1579, 89561, 79533, 988, 44168, 17882, 472, 320, 22759, 698, 11, 8421, 11, 549, 815, 25390, 323, 3400, 55747, 320, 10149, 4336, 11, 41889, 2637, 549, 815, 25390, 459, 40574, 333, 8799, 52373, 2883, 430, 19159, 20228, 31107, 6108, 11298, 89131, 24722, 2541, 13, 578, 2883, 2795, 430, 59251, 315, 1690, 28814, 21126, 7612, 279, 1005, 315, 16287, 86836, 6108, 54614, 10950, 388, 430, 527, 6004, 1139, 279, 2162, 4676, 927, 892, 11, 53004, 5199, 2890, 52642, 2533, 16287, 86836, 374, 264, 3967, 52788, 11968, 627, 644, 6250, 220, 2366, 15, 11, 1611, 346, 359, 258, 377, 4892, 5270, 320, 11342, 35804, 11, 14689, 11, 549, 815, 6266, 1375, 64, 10880, 1202, 6484, 763, 10202, 24979, 4269, 15899, 320, 2599, 8, 449, 264, 502, 1584, 315, 2587, 43563, 10105, 11, 2737, 7410, 25485, 11, 24693, 29487, 610, 6256, 11, 99600, 323, 46866, 7147, 6956, 13, 578, 10209, 22890, 505, 1611, 346, 359, 258, 377, 596, 763, 10202, 432, 21596, 66726, 47169, 88493, 2736, 1511, 304, 3321, 323, 6134, 4124, 53279, 369, 24872, 4907, 15374, 13, 763, 6664, 11, 279, 3907, 315, 83239, 320, 626, 55243, 11, 10057, 8, 10181, 315, 59945, 7127, 1071, 433, 14896, 2467, 18826, 362, 11628, 529, 320, 32, 69302, 11, 35440, 8, 48232, 29561, 5557, 304, 264, 2447, 20034, 520, 33018, 470, 81239, 304, 8246, 11, 449, 11293, 3769, 1005, 1555, 2865, 34195, 12, 99968, 28814, 14726, 323, 28598, 15266, 311, 8108, 7432, 17, 6962, 20748, 627, 2170, 279, 10160, 4907, 3157, 9731, 311, 3139, 11, 10937, 77662, 709, 1990, 9168, 323, 12782, 24722, 470, 81239, 369, 66270, 42742, 627, 33274, 31696, 287, 594, 1354, 323, 4732, 1291, 11618, 527, 3339, 60618, 8286, 15266, 3284, 627, 29688, 12092, 72830, 323, 1176, 11213, 11, 279, 220, 23171, 34744, 389, 46045, 304, 28814, 7384, 323, 11618, 311, 4295, 1202, 11811, 128001 ]
[ -100, 34, 13584, 645, 527, 16106, 537, 2747, 323, 1716, 5621, 3329, 13077, 5918, 311, 2532, 279, 469, 877, 9331, 5987, 734, 315, 5907, 18811, 35607, 13, 4314, 49926, 26326, 46569, 388, 1051, 20968, 2212, 279, 1917, 311, 9778, 2109, 454, 6468, 279, 9420, 449, 12966, 3131, 279, 49554, 8182, 574, 6052, 311, 264, 14464, 481, 1614, 627, 791, 4656, 329, 645, 1051, 6319, 311, 312, 20653, 48945, 22706, 311, 279, 1917, 3131, 279, 49554, 8182, 1047, 1027, 28101, 311, 14464, 481, 5990, 13, 2057, 656, 779, 11, 814, 13282, 1167, 49865, 6429, 9967, 304, 16106, 29569, 25288, 11, 439, 1664, 439, 21075, 2413, 1302, 369, 13033, 367, 11, 1716, 5621, 3329, 13077, 11, 323, 28598, 7447, 1355, 651, 12170, 311, 8854, 439, 46679, 12678, 369, 279, 2911, 627, 32, 8792, 961, 315, 279, 4656, 72455, 13077, 574, 279, 8292, 315, 10314, 1971, 1623, 11, 902, 1053, 39170, 279, 502, 12966, 922, 279, 10846, 4435, 323, 1268, 539, 311, 13454, 872, 62540, 6, 21294, 13, 4452, 11, 4245, 311, 23989, 13759, 78, 596, 80753, 11, 420, 1053, 2646, 2586, 311, 94706, 627, 9023, 13, 328, 15784, 377, 596, 72927, 2453, 17219, 311, 27438, 5987, 5343, 264, 2472, 315, 13205, 4656, 72455, 10687, 25, 1521, 10687, 5343, 3118, 11477, 9822, 11, 8524, 11, 6890, 11, 21139, 11, 323, 73778, 13, 4452, 11, 2728, 279, 4732, 315, 279, 13759, 78, 1856, 4768, 596, 12178, 11, 433, 374, 25420, 1268, 1690, 315, 1521, 4656, 329, 645, 1051, 8308, 304, 892, 13, 20817, 389, 279, 79362, 1887, 11, 433, 649, 387, 62357, 430, 520, 3325, 11888, 4656, 329, 645, 1051, 8308, 1603, 279, 13759, 78, 1856, 4768, 627, 12, 469, 877, 9331, 5987, 12, 16, 574, 20968, 15038, 3221, 279, 70761, 64647, 17271, 304, 53342, 5734, 11, 65047, 31526, 279, 13759, 78, 1856, 4768, 13, 720, 12, 469, 877, 9331, 5987, 12, 17, 574, 20968, 4871, 10640, 31074, 24520, 304, 52543, 90929, 13, 20817, 389, 328, 15784, 377, 596, 72927, 2453, 11, 520, 3325, 1403, 810, 1051, 13205, 369, 8246, 304, 10384, 627, 12, 469, 877, 9331, 5987, 12, 24, 11, 279, 1193, 4656, 72455, 3970, 2949, 279, 1847, 11, 574, 20968, 304, 15745, 11, 7427, 627, 791, 10687, 315, 469, 877, 9331, 5987, 12, 18, 1555, 469, 877, 9331, 5987, 12, 23, 527, 9987, 13, 128001, -100, 42785, 21988, 389, 279, 16730, 315, 279, 12781, 13, 11064, 16666, 25, 41135, 198, 4599, 584, 3137, 922, 1405, 323, 1268, 470, 81239, 527, 1511, 11, 8246, 11383, 1587, 539, 10205, 311, 279, 1948, 315, 279, 1160, 11, 719, 433, 2643, 387, 19946, 1070, 13, 578, 3728, 8246, 8752, 374, 4315, 279, 7928, 304, 279, 1917, 11, 323, 832, 315, 279, 7928, 13723, 315, 5070, 323, 4907, 13, 1102, 753, 1101, 832, 315, 279, 8706, 7230, 15928, 13, 4314, 9547, 527, 35271, 311, 6678, 7319, 7631, 369, 41329, 4028, 279, 4580, 13, 1219, 81239, 617, 264, 3560, 311, 1514, 627, 11439, 311, 1054, 11907, 24987, 220, 9639, 15, 2476, 4756, 555, 8121, 24987, 94985, 323, 26275, 35300, 320, 40672, 11, 549, 11606, 25390, 15603, 8246, 2612, 690, 3139, 555, 220, 5313, 4, 311, 400, 868, 13, 20, 32610, 555, 220, 9639, 15, 13, 7648, 315, 420, 6650, 690, 387, 304, 279, 549, 815, 2637, 5734, 323, 6890, 13, 578, 67493, 8674, 8121, 10181, 320, 3648, 4356, 11, 452, 7659, 2637, 549, 815, 6266, 6821, 430, 220, 1927, 3610, 502, 11983, 8316, 690, 387, 2631, 304, 279, 1917, 753, 220, 508, 7928, 9919, 555, 220, 2366, 20, 13, 7089, 3495, 505, 279, 8246, 5064, 5039, 430, 279, 8246, 5064, 374, 8647, 369, 220, 1419, 4, 315, 279, 3723, 4273, 529, 3805, 25793, 11, 220, 1272, 4, 315, 1202, 3090, 25793, 323, 220, 1135, 4, 315, 1202, 85634, 12571, 13, 763, 5369, 11, 279, 549, 815, 13, 7997, 17283, 9251, 2795, 14016, 323, 8246, 7224, 527, 8647, 369, 7154, 220, 1272, 4, 315, 3728, 4907, 15652, 1475, 1060, 627, 791, 3560, 315, 470, 81239, 304, 8246, 374, 28830, 11, 24950, 505, 3321, 10006, 818, 1147, 323, 45888, 99600, 311, 470, 81239, 312, 2308, 323, 24722, 5621, 258, 25229, 14509, 13, 4452, 814, 527, 1511, 11, 279, 30244, 287, 11, 2955, 25152, 323, 39665, 7720, 315, 470, 81239, 649, 1520, 4732, 8246, 323, 7417, 264, 4857, 753, 41329, 5573, 13, 18185, 420, 11, 1606, 470, 81239, 527, 2536, 12, 40984, 7384, 11, 872, 25375, 555, 56035, 706, 1027, 53399, 13, 2030, 420, 374, 264, 6650, 3157, 5922, 12798, 6666, 311, 627, 18293, 11, 369, 3187, 11, 279, 16730, 315, 279, 12781, 11, 1694, 20968, 304, 35138, 11, 3723, 10989, 49801, 320, 52, 13983, 570, 578, 220, 2495, 73601, 1579, 4857, 15316, 8254, 27035, 2949, 264, 5801, 355, 35831, 12811, 430, 23874, 47088, 264, 2380, 46199, 59136, 13, 578, 28362, 62716, 315, 279, 5801, 355, 41095, 220, 16, 11, 19592, 4027, 70210, 569, 519, 320, 10725, 8, 28814, 21988, 13, 2493, 329, 449, 25468, 9699, 11, 1855, 7090, 374, 264, 5016, 220, 18, 35, 6211, 323, 75762, 85760, 3502, 35217, 1650, 93170, 13, 578, 36612, 5429, 7739, 45319, 430, 7664, 279, 11376, 369, 35138, 753, 3938, 555, 5414, 5234, 2136, 72629, 46392, 9736, 60483, 307, 1708, 386, 10114, 283, 76, 11, 17192, 4872, 323, 10461, 13015, 315, 279, 47949, 323, 49080, 315, 279, 5867, 89440, 315, 35138, 13, 2435, 1101, 8854, 439, 279, 4857, 753, 11276, 11, 25146, 53121, 1555, 279, 3330, 12862, 15135, 323, 6968, 264, 22520, 2515, 520, 3814, 4669, 220, 975, 41668, 315, 18751, 13414, 18186, 627, 11874, 28814, 98834, 449, 264, 8776, 7732, 29561, 13, 37632, 690, 387, 44033, 2212, 682, 2380, 311, 1304, 264, 2380, 42866, 62716, 4124, 369, 1005, 304, 264, 4857, 304, 94865, 5657, 304, 26832, 11, 452, 7659, 2637, 549, 815, 13, 11064, 16666, 25, 39941, 198, 644, 26832, 11, 452, 7659, 2637, 549, 815, 2637, 470, 81239, 1511, 304, 64338, 15266, 9087, 4732, 8246, 315, 279, 220, 1774, 46199, 3861, 4987, 5629, 323, 279, 390, 72254, 220, 605, 10517, 11, 7559, 2949, 94865, 5657, 13, 4314, 14016, 2997, 264, 6485, 14509, 62716, 430, 2631, 19257, 29997, 367, 315, 11758, 315, 14509, 14418, 555, 30343, 42770, 561, 320, 62382, 8078, 11, 54297, 2637, 549, 815, 36434, 30343, 17045, 2758, 3486, 17005, 23508, 320, 70268, 11, 95893, 11, 14689, 11, 549, 815, 6266, 369, 1520, 311, 1977, 279, 98834, 311, 6211, 279, 14509, 14418, 13, 39941, 11, 902, 520, 279, 892, 1047, 1120, 19426, 1202, 1176, 34589, 1428, 3544, 39480, 64338, 15266, 320, 23433, 1428, 8, 18787, 35305, 5165, 32184, 33156, 505, 36239, 4953, 13, 320, 39, 51103, 11, 14689, 705, 6575, 449, 320, 878, 31142, 11, 96002, 11, 76626, 2637, 549, 815, 6266, 1174, 902, 1101, 706, 264, 34589, 1428, 11, 311, 13354, 349, 279, 7739, 13, 39941, 323, 2794, 31142, 6859, 279, 990, 6462, 11, 449, 39941, 17843, 220, 972, 315, 279, 220, 1806, 98834, 13, 9062, 3321, 4124, 29561, 11193, 922, 220, 20, 12, 21, 7693, 7029, 11, 220, 24, 12, 605, 7693, 16615, 323, 220, 845, 15271, 5655, 323, 50542, 922, 220, 2636, 16701, 627, 2520, 961, 315, 1202, 5788, 11, 39941, 14896, 459, 445, 27321, 350, 3087, 44, 7767, 52707, 6912, 24549, 11, 264, 1579, 17515, 19990, 11, 3428, 2695, 8035, 3769, 3196, 389, 37581, 449, 220, 508, 4, 38525, 12782, 24722, 72378, 17665, 555, 328, 1905, 1341, 320, 79894, 11, 32568, 2637, 549, 815, 36434, 39941, 2795, 433, 3952, 279, 34589, 1428, 5780, 220, 23, 12, 605, 4207, 311, 1977, 1855, 1647, 66470, 29561, 11, 8272, 555, 220, 19, 12, 23, 4207, 315, 98423, 323, 25270, 304, 264, 51799, 710, 320, 626, 363, 11, 14689, 11, 549, 815, 6266, 60797, 5780, 13, 578, 98834, 1051, 274, 6601, 311, 279, 2631, 15696, 11, 719, 539, 19584, 13, 39941, 2795, 279, 6912, 98834, 2631, 17162, 893, 77105, 311, 13354, 349, 11, 36513, 12207, 5129, 1109, 279, 7732, 98834, 814, 12860, 323, 5535, 279, 31072, 311, 4822, 389, 9899, 627, 60105, 279, 470, 81239, 5064, 11, 1070, 527, 12195, 315, 7351, 323, 39825, 315, 7384, 20034, 520, 8246, 13, 763, 3297, 220, 2366, 15, 11, 304, 2077, 311, 279, 20562, 12, 777, 28522, 11, 26232, 689, 32009, 320, 39, 86, 521, 647, 11, 4987, 12126, 705, 264, 47393, 15009, 323, 7384, 2883, 11, 7376, 449, 1202, 8717, 800, 12119, 320, 15423, 276, 11, 4987, 12126, 705, 264, 44993, 11983, 17276, 11, 323, 8246, 5557, 21210, 423, 1631, 52936, 320, 1542, 11206, 11, 4987, 12126, 705, 279, 3351, 3502, 5644, 93845, 519, 1244, 13235, 2209, 36062, 19074, 320, 44, 1669, 8, 311, 5266, 420, 1205, 12660, 304, 279, 1917, 13, 93845, 519, 1244, 68125, 374, 264, 6593, 31398, 14356, 16850, 264, 9689, 15144, 15135, 323, 459, 10309, 51957, 40090, 27505, 13763, 320, 27321, 53, 8, 1887, 311, 2585, 70863, 78284, 13, 1102, 374, 6319, 369, 11295, 14028, 439, 264, 71489, 1887, 369, 3428, 1355, 1631, 80797, 477, 49648, 12862, 20562, 12, 777, 29374, 477, 13893, 29374, 6978, 13, 2052, 279, 7241, 5995, 311, 3974, 45769, 369, 264, 8250, 315, 264, 2478, 5672, 527, 5052, 1139, 264, 17251, 220, 717, 13, 20, 34047, 23819, 320, 8878, 9518, 7693, 8, 5496, 44598, 13, 1115, 5764, 15197, 11, 14891, 11, 66433, 449, 4642, 3805, 506, 73931, 323, 8191, 315, 20695, 320, 43899, 51, 8, 15293, 26, 5918, 3502, 6007, 11, 6500, 11, 13726, 51478, 6614, 323, 44340, 53, 2671, 527, 2561, 627, 37156, 315, 356, 43489, 4857, 520, 70514, 86545, 323, 16261, 327, 72932, 12782, 24722, 5950, 73199, 16666, 25, 7388, 358, 324, 3893, 122550, 8115, 3178, 11, 473, 99566, 11, 70514, 86545, 323, 16261, 327, 72932, 198, 644, 5651, 11, 27766, 3907, 86545, 320, 99682, 86545, 8, 304, 10057, 7376, 279, 42080, 315, 8246, 369, 1202, 356, 44301, 13312, 17074, 3838, 356, 43489, 11, 24392, 3967, 439, 22208, 32651, 13, 70514, 86545, 8349, 279, 220, 8610, 34047, 73601, 11, 1403, 46199, 4857, 690, 387, 279, 1917, 753, 1176, 4857, 1903, 11622, 505, 12782, 24722, 5621, 258, 25229, 14509, 627, 644, 5887, 11, 73334, 3907, 320, 24188, 78281, 11, 2314, 2637, 549, 815, 6266, 5068, 430, 1202, 12074, 617, 8040, 264, 4827, 41238, 11, 22556, 323, 2886, 804, 1749, 369, 17843, 28814, 21126, 11, 264, 1749, 430, 73334, 2795, 374, 2736, 9298, 7982, 1862, 505, 3682, 5064, 4311, 1093, 1579, 89561, 79533, 988, 44168, 17882, 472, 320, 22759, 698, 11, 8421, 11, 549, 815, 25390, 323, 3400, 55747, 320, 10149, 4336, 11, 41889, 2637, 549, 815, 25390, 459, 40574, 333, 8799, 52373, 2883, 430, 19159, 20228, 31107, 6108, 11298, 89131, 24722, 2541, 13, 578, 2883, 2795, 430, 59251, 315, 1690, 28814, 21126, 7612, 279, 1005, 315, 16287, 86836, 6108, 54614, 10950, 388, 430, 527, 6004, 1139, 279, 2162, 4676, 927, 892, 11, 53004, 5199, 2890, 52642, 2533, 16287, 86836, 374, 264, 3967, 52788, 11968, 627, 644, 6250, 220, 2366, 15, 11, 1611, 346, 359, 258, 377, 4892, 5270, 320, 11342, 35804, 11, 14689, 11, 549, 815, 6266, 1375, 64, 10880, 1202, 6484, 763, 10202, 24979, 4269, 15899, 320, 2599, 8, 449, 264, 502, 1584, 315, 2587, 43563, 10105, 11, 2737, 7410, 25485, 11, 24693, 29487, 610, 6256, 11, 99600, 323, 46866, 7147, 6956, 13, 578, 10209, 22890, 505, 1611, 346, 359, 258, 377, 596, 763, 10202, 432, 21596, 66726, 47169, 88493, 2736, 1511, 304, 3321, 323, 6134, 4124, 53279, 369, 24872, 4907, 15374, 13, 763, 6664, 11, 279, 3907, 315, 83239, 320, 626, 55243, 11, 10057, 8, 10181, 315, 59945, 7127, 1071, 433, 14896, 2467, 18826, 362, 11628, 529, 320, 32, 69302, 11, 35440, 8, 48232, 29561, 5557, 304, 264, 2447, 20034, 520, 33018, 470, 81239, 304, 8246, 11, 449, 11293, 3769, 1005, 1555, 2865, 34195, 12, 99968, 28814, 14726, 323, 28598, 15266, 311, 8108, 7432, 17, 6962, 20748, 627, 2170, 279, 10160, 4907, 3157, 9731, 311, 3139, 11, 10937, 77662, 709, 1990, 9168, 323, 12782, 24722, 470, 81239, 369, 66270, 42742, 627, 33274, 31696, 287, 594, 1354, 323, 4732, 1291, 11618, 527, 3339, 60618, 8286, 15266, 3284, 627, 29688, 12092, 72830, 323, 1176, 11213, 11, 279, 220, 23171, 34744, 389, 46045, 304, 28814, 7384, 323, 11618, 311, 4295, 1202, 11811, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 2170, 358, 1071, 304, 856, 1566, 5117, 1772, 11, 433, 753, 539, 5995, 369, 5557, 311, 387, 1511, 304, 29414, 28438, 13, 4452, 11, 5557, 649, 387, 5115, 24629, 13, 2100, 11, 304, 420, 5117, 1772, 11, 358, 1390, 311, 13488, 1268, 220, 18, 35, 57053, 649, 1520, 1893, 459, 17235, 5505, 29414, 1330, 627, 18, 35, 57053, 527, 1633, 502, 323, 26, 9093, 11, 1633, 11646, 13, 1102, 374, 14470, 17821, 430, 29414, 28438, 304, 597, 717, 58216, 477, 586, 8853, 690, 2997, 264, 220, 18, 35, 23185, 13, 2030, 11, 1521, 4595, 315, 57053, 527, 10671, 15098, 44611, 304, 586, 6875, 29414, 28438, 13, 8876, 358, 2216, 1541, 1431, 1440, 1268, 220, 18, 35, 57053, 990, 11, 358, 6773, 311, 13488, 430, 1176, 13, 763, 2015, 311, 1005, 264, 220, 18, 35, 23185, 11, 499, 2011, 617, 264, 220, 18, 35, 2955, 1052, 389, 701, 6500, 902, 649, 387, 2884, 304, 1690, 2204, 5627, 13, 9843, 701, 2955, 374, 4686, 11, 433, 374, 3288, 311, 279, 279, 220, 18, 35, 23185, 11, 30293, 311, 264, 5912, 23185, 13, 763, 264, 220, 18, 35, 23185, 11, 4869, 11, 701, 2955, 374, 3549, 6324, 555, 6324, 13, 578, 23185, 706, 50459, 12466, 430, 374, 6324, 1523, 13, 578, 1455, 4279, 955, 315, 23185, 5829, 12466, 719, 1070, 527, 1063, 430, 1005, 23506, 323, 9501, 2288, 13, 12362, 264, 220, 18, 35, 23185, 649, 387, 1633, 892, 35208, 1606, 279, 23185, 706, 311, 1893, 279, 1665, 555, 35744, 1523, 9193, 15792, 13931, 315, 3769, 13, 358, 1781, 220, 18, 35, 57053, 527, 264, 7155, 5507, 311, 617, 1606, 433, 6276, 4236, 311, 1893, 304, 264, 1648, 430, 1690, 1274, 3287, 1431, 1518, 3284, 13, 1789, 3187, 11, 499, 1436, 1390, 311, 701, 4236, 311, 1893, 872, 1866, 2027, 323, 4048, 922, 8661, 323, 13172, 13, 8489, 11, 449, 264, 220, 18, 35, 23185, 11, 4236, 1436, 3604, 2955, 323, 1194, 279, 2027, 430, 814, 13085, 11, 4856, 1109, 1120, 5042, 13633, 323, 26073, 872, 2027, 13, 5810, 264, 2875, 2835, 505, 264, 586, 6875, 29414, 1330, 430, 6835, 499, 264, 12401, 1427, 520, 220, 18, 35, 18991, 13, 1666, 358, 8738, 311, 3495, 11, 358, 11352, 430, 1690, 5220, 527, 3318, 389, 3339, 220, 18, 35, 57053, 23917, 323, 810, 6847, 15987, 311, 5127, 13, 763, 279, 3938, 11, 220, 18, 35, 57053, 1436, 387, 5912, 14048, 6302, 627, 15724, 358, 7070, 1093, 311, 1120, 19678, 1148, 25214, 12908, 527, 13, 2468, 1176, 358, 574, 2133, 311, 7940, 304, 449, 7720, 315, 25214, 12908, 719, 358, 1781, 433, 753, 2216, 3062, 311, 2231, 459, 304, 8149, 4096, 315, 1148, 25214, 12908, 527, 389, 856, 5117, 13, 2100, 11, 1095, 753, 1212, 449, 430, 0, 358, 6137, 555, 2133, 1203, 323, 5403, 279, 21579, 323, 59143, 17331, 12053, 4652, 578, 41628, 29098, 13, 1115, 374, 1778, 264, 2294, 4652, 13, 1102, 5900, 2216, 304, 8149, 922, 279, 41628, 29098, 323, 433, 1524, 12716, 709, 264, 2763, 315, 7720, 315, 25214, 12908, 13, 2030, 11, 584, 4805, 65878, 430, 3010, 13, 4740, 5403, 430, 4652, 358, 48569, 839, 264, 2478, 810, 13335, 311, 1518, 1268, 1023, 1274, 4613, 41628, 69156, 627, 3923, 358, 1766, 512, 32, 25214, 3634, 374, 5042, 459, 3158, 430, 6276, 1274, 311, 2586, 3871, 311, 990, 389, 659, 86855, 7224, 13, 21347, 264, 659, 86855, 3158, 374, 264, 6908, 961, 315, 1148, 3727, 264, 25214, 3634, 264, 25214, 3634, 13, 1102, 753, 3062, 311, 617, 279, 6980, 1893, 13, 1952, 872, 1866, 13, 41628, 12908, 15058, 1431, 14647, 3940, 449, 279, 14944, 311, 387, 1511, 304, 8853, 13, 1666, 420, 3997, 15100, 11, 25214, 12908, 1051, 10213, 3940, 2536, 38698, 60472, 2740, 13, 10541, 11, 814, 527, 7314, 311, 6541, 304, 311, 586, 8853, 11, 814, 527, 539, 279, 47891, 3686, 13, 9176, 586, 2978, 527, 14738, 16984, 315, 25214, 12908, 1606, 315, 279, 3284, 6020, 26936, 814, 649, 617, 13, 4452, 11, 1690, 315, 279, 13335, 358, 12263, 14618, 704, 430, 25214, 12908, 1541, 1431, 617, 311, 387, 459, 37067, 11, 2869, 30450, 11084, 3158, 13, 23338, 649, 8935, 505, 1120, 3515, 1989, 17135, 304, 264, 25214, 3634, 13, 5046, 3388, 11, 3515, 264, 220, 18, 35, 23185, 477, 264, 3130, 2539, 315, 77586, 7819, 7995, 1587, 3493, 7720, 11, 814, 527, 539, 5995, 13, 41812, 11, 25214, 12908, 2586, 304, 682, 21483, 323, 12562, 323, 814, 682, 2586, 449, 872, 1866, 743, 315, 7720, 4999, 5971, 892, 11, 358, 3987, 311, 13488, 832, 315, 279, 7720, 315, 25214, 12908, 430, 358, 1766, 0, 358, 1101, 1766, 264, 7155, 3997, 430, 6276, 499, 311, 2231, 304, 701, 10521, 2082, 323, 433, 4805, 3371, 499, 922, 25214, 12908, 3221, 499, 4999, 644, 2015, 311, 4726, 19874, 11, 323, 23127, 4320, 856, 1925, 3495, 3488, 11, 358, 690, 387, 3815, 16781, 3495, 1701, 279, 7757, 11, 19905, 323, 3284, 6405, 21633, 13, 578, 4652, 505, 21579, 323, 59143, 449, 12053, 430, 358, 1373, 389, 279, 1176, 1938, 315, 538, 574, 264, 2294, 17219, 315, 279, 41628, 29098, 13, 358, 4344, 9293, 389, 436, 486, 2277, 430, 311, 3240, 856, 3495, 323, 10213, 1518, 1405, 430, 11767, 757, 13, 358, 4070, 8272, 1690, 1274, 389, 6405, 5552, 311, 41628, 69156, 323, 358, 4070, 1027, 16967, 872, 5820, 13, 358, 1781, 814, 3207, 24025, 690, 1520, 757, 304, 26591, 2915, 1606, 433, 690, 3041, 757, 459, 4871, 13356, 505, 597, 717, 13639, 627, 16397, 420, 34253, 11, 358, 7070, 1093, 311, 11951, 3495, 1268, 41628, 69156, 649, 387, 24629, 304, 597, 717, 58216, 13, 358, 4344, 13126, 98867, 856, 3488, 1523, 311, 1120, 36256, 2978, 58216, 719, 369, 1457, 358, 1053, 1093, 311, 2567, 433, 27927, 11, 779, 430, 358, 1541, 1431, 3194, 904, 11000, 15525, 2038, 13, 763, 5369, 311, 3411, 709, 7720, 11, 358, 4344, 22999, 922, 1268, 597, 717, 58216, 527, 1701, 41628, 69156, 13, 358, 1390, 311, 1440, 422, 814, 527, 1701, 1521, 5789, 439, 1120, 264, 11782, 27487, 369, 6980, 311, 1120, 1893, 477, 422, 814, 527, 1694, 1511, 439, 2500, 1648, 369, 2911, 387, 26126, 13, 1442, 1070, 374, 892, 11, 358, 7070, 1093, 311, 19874, 41628, 435, 12267, 264, 2697, 2766, 323, 1518, 1268, 420, 44072, 311, 597, 717, 24978, 41628, 69156, 627, 2170, 3117, 439, 35821, 856, 2038, 11, 358, 4344, 2133, 311, 1212, 449, 856, 7353, 3488, 323, 1518, 11, 3196, 389, 279, 3392, 315, 2038, 430, 358, 1505, 11, 422, 433, 3966, 311, 74035, 1523, 13, 1442, 358, 10491, 430, 433, 3966, 311, 387, 74035, 1523, 11, 358, 690, 312, 48391, 323, 1772, 922, 856, 13945, 30464, 3488, 13, 358, 4344, 16026, 430, 358, 4805, 387, 3025, 311, 13488, 682, 13878, 315, 41628, 69156, 304, 597, 717, 58216, 719, 449, 3297, 76, 5302, 11, 430, 1253, 1120, 539, 387, 3284, 13, 358, 7070, 1093, 311, 656, 264, 1772, 1120, 389, 1148, 41628, 69156, 527, 323, 1268, 814, 4070, 8040, 505, 1070, 11, 358, 690, 2216, 3240, 42200, 304, 5655, 323, 15389, 369, 11503, 311, 856, 1925, 3488, 627, 34359, 11746, 706, 1027, 264, 6908, 31527, 1178, 369, 682, 69792, 430, 21736, 3318, 449, 2911, 11, 2737, 597, 717, 13639, 13, 3092, 13219, 11, 889, 374, 5131, 34118, 1077, 8063, 311, 3719, 264, 12822, 95307, 11, 13739, 922, 41628, 69156, 15320, 13, 1628, 358, 3152, 15320, 13, 358, 4070, 34793, 311, 1077, 323, 358, 1440, 1148, 814, 527, 719, 1364, 753, 856, 13219, 11, 779, 27136, 11, 264, 2763, 315, 433, 5900, 304, 832, 2487, 323, 704, 279, 1023, 13, 2030, 11, 994, 358, 6755, 856, 33357, 220, 1049, 15, 11326, 6420, 41628, 69156, 389, 279, 1176, 1938, 315, 538, 11, 358, 3463, 7344, 420, 574, 264, 8712, 5922, 24834, 4726, 627, 34359, 69156, 527, 682, 922, 86644, 28697, 323, 11, 304, 1063, 5627, 11, 24589, 13, 63647, 11, 358, 1541, 1431, 2733, 1093, 358, 1047, 264, 2763, 315, 892, 304, 2978, 311, 13488, 856, 28697, 304, 264, 1648, 430, 3287, 1431, 21736, 757, 3794, 80273, 389, 433, 13, 358, 574, 264, 5128, 40069, 27653, 10585, 779, 11, 422, 433, 6532, 3794, 264, 12239, 11, 358, 8659, 1550, 539, 5357, 389, 279, 11782, 13189, 315, 279, 2447, 13, 1102, 574, 682, 922, 3794, 459, 362, 13, 1628, 369, 279, 1455, 961, 430, 6575, 369, 757, 11, 719, 358, 656, 6562, 358, 1047, 459, 3158, 304, 2978, 477, 304, 856, 6875, 1405, 28697, 574, 279, 2944, 358, 574, 1070, 323, 358, 3287, 1431, 2216, 617, 311, 11196, 922, 1694, 45487, 369, 1148, 358, 3549, 627, 40, 4344, 2216, 12304, 311, 990, 389, 420, 8712, 369, 856, 220, 508, 4, 5907, 13, 2057, 1212, 358, 4070, 8272, 264, 2478, 41628, 11746, 11909, 389, 6405, 13, 4427, 21542, 358, 4070, 8272, 527, 25, 571, 26850, 3716, 556, 571, 45, 6709, 23307, 43, 3042, 531, 323, 571, 23760, 70, 63975, 13, 358, 1097, 1101, 16967, 674, 20481, 1330, 323, 674, 26850, 3716, 556, 13, 128001 ]
[ -100, 2170, 358, 1071, 304, 856, 1566, 5117, 1772, 11, 433, 753, 539, 5995, 369, 5557, 311, 387, 1511, 304, 29414, 28438, 13, 4452, 11, 5557, 649, 387, 5115, 24629, 13, 2100, 11, 304, 420, 5117, 1772, 11, 358, 1390, 311, 13488, 1268, 220, 18, 35, 57053, 649, 1520, 1893, 459, 17235, 5505, 29414, 1330, 627, 18, 35, 57053, 527, 1633, 502, 323, 26, 9093, 11, 1633, 11646, 13, 1102, 374, 14470, 17821, 430, 29414, 28438, 304, 597, 717, 58216, 477, 586, 8853, 690, 2997, 264, 220, 18, 35, 23185, 13, 2030, 11, 1521, 4595, 315, 57053, 527, 10671, 15098, 44611, 304, 586, 6875, 29414, 28438, 13, 8876, 358, 2216, 1541, 1431, 1440, 1268, 220, 18, 35, 57053, 990, 11, 358, 6773, 311, 13488, 430, 1176, 13, 763, 2015, 311, 1005, 264, 220, 18, 35, 23185, 11, 499, 2011, 617, 264, 220, 18, 35, 2955, 1052, 389, 701, 6500, 902, 649, 387, 2884, 304, 1690, 2204, 5627, 13, 9843, 701, 2955, 374, 4686, 11, 433, 374, 3288, 311, 279, 279, 220, 18, 35, 23185, 11, 30293, 311, 264, 5912, 23185, 13, 763, 264, 220, 18, 35, 23185, 11, 4869, 11, 701, 2955, 374, 3549, 6324, 555, 6324, 13, 578, 23185, 706, 50459, 12466, 430, 374, 6324, 1523, 13, 578, 1455, 4279, 955, 315, 23185, 5829, 12466, 719, 1070, 527, 1063, 430, 1005, 23506, 323, 9501, 2288, 13, 12362, 264, 220, 18, 35, 23185, 649, 387, 1633, 892, 35208, 1606, 279, 23185, 706, 311, 1893, 279, 1665, 555, 35744, 1523, 9193, 15792, 13931, 315, 3769, 13, 358, 1781, 220, 18, 35, 57053, 527, 264, 7155, 5507, 311, 617, 1606, 433, 6276, 4236, 311, 1893, 304, 264, 1648, 430, 1690, 1274, 3287, 1431, 1518, 3284, 13, 1789, 3187, 11, 499, 1436, 1390, 311, 701, 4236, 311, 1893, 872, 1866, 2027, 323, 4048, 922, 8661, 323, 13172, 13, 8489, 11, 449, 264, 220, 18, 35, 23185, 11, 4236, 1436, 3604, 2955, 323, 1194, 279, 2027, 430, 814, 13085, 11, 4856, 1109, 1120, 5042, 13633, 323, 26073, 872, 2027, 13, 5810, 264, 2875, 2835, 505, 264, 586, 6875, 29414, 1330, 430, 6835, 499, 264, 12401, 1427, 520, 220, 18, 35, 18991, 13, 1666, 358, 8738, 311, 3495, 11, 358, 11352, 430, 1690, 5220, 527, 3318, 389, 3339, 220, 18, 35, 57053, 23917, 323, 810, 6847, 15987, 311, 5127, 13, 763, 279, 3938, 11, 220, 18, 35, 57053, 1436, 387, 5912, 14048, 6302, 627, 15724, 358, 7070, 1093, 311, 1120, 19678, 1148, 25214, 12908, 527, 13, 2468, 1176, 358, 574, 2133, 311, 7940, 304, 449, 7720, 315, 25214, 12908, 719, 358, 1781, 433, 753, 2216, 3062, 311, 2231, 459, 304, 8149, 4096, 315, 1148, 25214, 12908, 527, 389, 856, 5117, 13, 2100, 11, 1095, 753, 1212, 449, 430, 0, 358, 6137, 555, 2133, 1203, 323, 5403, 279, 21579, 323, 59143, 17331, 12053, 4652, 578, 41628, 29098, 13, 1115, 374, 1778, 264, 2294, 4652, 13, 1102, 5900, 2216, 304, 8149, 922, 279, 41628, 29098, 323, 433, 1524, 12716, 709, 264, 2763, 315, 7720, 315, 25214, 12908, 13, 2030, 11, 584, 4805, 65878, 430, 3010, 13, 4740, 5403, 430, 4652, 358, 48569, 839, 264, 2478, 810, 13335, 311, 1518, 1268, 1023, 1274, 4613, 41628, 69156, 627, 3923, 358, 1766, 512, 32, 25214, 3634, 374, 5042, 459, 3158, 430, 6276, 1274, 311, 2586, 3871, 311, 990, 389, 659, 86855, 7224, 13, 21347, 264, 659, 86855, 3158, 374, 264, 6908, 961, 315, 1148, 3727, 264, 25214, 3634, 264, 25214, 3634, 13, 1102, 753, 3062, 311, 617, 279, 6980, 1893, 13, 1952, 872, 1866, 13, 41628, 12908, 15058, 1431, 14647, 3940, 449, 279, 14944, 311, 387, 1511, 304, 8853, 13, 1666, 420, 3997, 15100, 11, 25214, 12908, 1051, 10213, 3940, 2536, 38698, 60472, 2740, 13, 10541, 11, 814, 527, 7314, 311, 6541, 304, 311, 586, 8853, 11, 814, 527, 539, 279, 47891, 3686, 13, 9176, 586, 2978, 527, 14738, 16984, 315, 25214, 12908, 1606, 315, 279, 3284, 6020, 26936, 814, 649, 617, 13, 4452, 11, 1690, 315, 279, 13335, 358, 12263, 14618, 704, 430, 25214, 12908, 1541, 1431, 617, 311, 387, 459, 37067, 11, 2869, 30450, 11084, 3158, 13, 23338, 649, 8935, 505, 1120, 3515, 1989, 17135, 304, 264, 25214, 3634, 13, 5046, 3388, 11, 3515, 264, 220, 18, 35, 23185, 477, 264, 3130, 2539, 315, 77586, 7819, 7995, 1587, 3493, 7720, 11, 814, 527, 539, 5995, 13, 41812, 11, 25214, 12908, 2586, 304, 682, 21483, 323, 12562, 323, 814, 682, 2586, 449, 872, 1866, 743, 315, 7720, 4999, 5971, 892, 11, 358, 3987, 311, 13488, 832, 315, 279, 7720, 315, 25214, 12908, 430, 358, 1766, 0, 358, 1101, 1766, 264, 7155, 3997, 430, 6276, 499, 311, 2231, 304, 701, 10521, 2082, 323, 433, 4805, 3371, 499, 922, 25214, 12908, 3221, 499, 4999, 644, 2015, 311, 4726, 19874, 11, 323, 23127, 4320, 856, 1925, 3495, 3488, 11, 358, 690, 387, 3815, 16781, 3495, 1701, 279, 7757, 11, 19905, 323, 3284, 6405, 21633, 13, 578, 4652, 505, 21579, 323, 59143, 449, 12053, 430, 358, 1373, 389, 279, 1176, 1938, 315, 538, 574, 264, 2294, 17219, 315, 279, 41628, 29098, 13, 358, 4344, 9293, 389, 436, 486, 2277, 430, 311, 3240, 856, 3495, 323, 10213, 1518, 1405, 430, 11767, 757, 13, 358, 4070, 8272, 1690, 1274, 389, 6405, 5552, 311, 41628, 69156, 323, 358, 4070, 1027, 16967, 872, 5820, 13, 358, 1781, 814, 3207, 24025, 690, 1520, 757, 304, 26591, 2915, 1606, 433, 690, 3041, 757, 459, 4871, 13356, 505, 597, 717, 13639, 627, 16397, 420, 34253, 11, 358, 7070, 1093, 311, 11951, 3495, 1268, 41628, 69156, 649, 387, 24629, 304, 597, 717, 58216, 13, 358, 4344, 13126, 98867, 856, 3488, 1523, 311, 1120, 36256, 2978, 58216, 719, 369, 1457, 358, 1053, 1093, 311, 2567, 433, 27927, 11, 779, 430, 358, 1541, 1431, 3194, 904, 11000, 15525, 2038, 13, 763, 5369, 311, 3411, 709, 7720, 11, 358, 4344, 22999, 922, 1268, 597, 717, 58216, 527, 1701, 41628, 69156, 13, 358, 1390, 311, 1440, 422, 814, 527, 1701, 1521, 5789, 439, 1120, 264, 11782, 27487, 369, 6980, 311, 1120, 1893, 477, 422, 814, 527, 1694, 1511, 439, 2500, 1648, 369, 2911, 387, 26126, 13, 1442, 1070, 374, 892, 11, 358, 7070, 1093, 311, 19874, 41628, 435, 12267, 264, 2697, 2766, 323, 1518, 1268, 420, 44072, 311, 597, 717, 24978, 41628, 69156, 627, 2170, 3117, 439, 35821, 856, 2038, 11, 358, 4344, 2133, 311, 1212, 449, 856, 7353, 3488, 323, 1518, 11, 3196, 389, 279, 3392, 315, 2038, 430, 358, 1505, 11, 422, 433, 3966, 311, 74035, 1523, 13, 1442, 358, 10491, 430, 433, 3966, 311, 387, 74035, 1523, 11, 358, 690, 312, 48391, 323, 1772, 922, 856, 13945, 30464, 3488, 13, 358, 4344, 16026, 430, 358, 4805, 387, 3025, 311, 13488, 682, 13878, 315, 41628, 69156, 304, 597, 717, 58216, 719, 449, 3297, 76, 5302, 11, 430, 1253, 1120, 539, 387, 3284, 13, 358, 7070, 1093, 311, 656, 264, 1772, 1120, 389, 1148, 41628, 69156, 527, 323, 1268, 814, 4070, 8040, 505, 1070, 11, 358, 690, 2216, 3240, 42200, 304, 5655, 323, 15389, 369, 11503, 311, 856, 1925, 3488, 627, 34359, 11746, 706, 1027, 264, 6908, 31527, 1178, 369, 682, 69792, 430, 21736, 3318, 449, 2911, 11, 2737, 597, 717, 13639, 13, 3092, 13219, 11, 889, 374, 5131, 34118, 1077, 8063, 311, 3719, 264, 12822, 95307, 11, 13739, 922, 41628, 69156, 15320, 13, 1628, 358, 3152, 15320, 13, 358, 4070, 34793, 311, 1077, 323, 358, 1440, 1148, 814, 527, 719, 1364, 753, 856, 13219, 11, 779, 27136, 11, 264, 2763, 315, 433, 5900, 304, 832, 2487, 323, 704, 279, 1023, 13, 2030, 11, 994, 358, 6755, 856, 33357, 220, 1049, 15, 11326, 6420, 41628, 69156, 389, 279, 1176, 1938, 315, 538, 11, 358, 3463, 7344, 420, 574, 264, 8712, 5922, 24834, 4726, 627, 34359, 69156, 527, 682, 922, 86644, 28697, 323, 11, 304, 1063, 5627, 11, 24589, 13, 63647, 11, 358, 1541, 1431, 2733, 1093, 358, 1047, 264, 2763, 315, 892, 304, 2978, 311, 13488, 856, 28697, 304, 264, 1648, 430, 3287, 1431, 21736, 757, 3794, 80273, 389, 433, 13, 358, 574, 264, 5128, 40069, 27653, 10585, 779, 11, 422, 433, 6532, 3794, 264, 12239, 11, 358, 8659, 1550, 539, 5357, 389, 279, 11782, 13189, 315, 279, 2447, 13, 1102, 574, 682, 922, 3794, 459, 362, 13, 1628, 369, 279, 1455, 961, 430, 6575, 369, 757, 11, 719, 358, 656, 6562, 358, 1047, 459, 3158, 304, 2978, 477, 304, 856, 6875, 1405, 28697, 574, 279, 2944, 358, 574, 1070, 323, 358, 3287, 1431, 2216, 617, 311, 11196, 922, 1694, 45487, 369, 1148, 358, 3549, 627, 40, 4344, 2216, 12304, 311, 990, 389, 420, 8712, 369, 856, 220, 508, 4, 5907, 13, 2057, 1212, 358, 4070, 8272, 264, 2478, 41628, 11746, 11909, 389, 6405, 13, 4427, 21542, 358, 4070, 8272, 527, 25, 571, 26850, 3716, 556, 571, 45, 6709, 23307, 43, 3042, 531, 323, 571, 23760, 70, 63975, 13, 358, 1097, 1101, 16967, 674, 20481, 1330, 323, 674, 26850, 3716, 556, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 9374, 1368, 19813, 311, 264, 1614, 315, 11542, 1405, 7931, 2585, 872, 1866, 6299, 2085, 1694, 3917, 311, 9434, 10383, 13, 1115, 13980, 994, 832, 1587, 539, 1205, 311, 6904, 389, 2500, 304, 279, 5178, 315, 872, 22006, 13, 3861, 753, 1314, 374, 1949, 505, 54443, 555, 264, 4948, 4717, 13, 763, 420, 16720, 11, 5370, 13878, 315, 31220, 527, 27463, 13, 8876, 31220, 649, 1935, 2204, 7739, 11, 433, 374, 5995, 311, 37455, 389, 279, 6492, 315, 1855, 315, 1521, 7739, 304, 2015, 311, 18885, 279, 8830, 315, 279, 7434, 315, 31220, 13, 763, 420, 6492, 11, 264, 1972, 15398, 315, 264, 1162, 6773, 555, 279, 13814, 7301, 374, 1511, 311, 18885, 279, 31220, 315, 279, 7931, 11920, 13, 578, 1162, 4183, 304, 3717, 449, 420, 374, 430, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 11, 220, 6280, 19, 13, 578, 19476, 315, 420, 1162, 690, 387, 30239, 304, 2015, 311, 4546, 704, 279, 7438, 315, 2204, 7739, 315, 31220, 627, 644, 3878, 315, 659, 46704, 11, 31220, 19813, 311, 264, 6671, 1405, 832, 649, 10491, 389, 279, 8475, 3388, 315, 1957, 2085, 1694, 4320, 481, 311, 904, 4948, 4717, 13, 1115, 17037, 13980, 4315, 5961, 5304, 30240, 24589, 13, 763, 420, 1162, 11, 264, 1614, 74198, 1202, 7677, 14614, 2085, 1694, 36977, 311, 904, 1023, 1614, 477, 2547, 13, 578, 3224, 374, 6646, 459, 39293, 2547, 13, 1102, 5415, 430, 7931, 617, 459, 3237, 1314, 311, 4135, 6164, 315, 872, 1866, 5873, 2085, 9434, 10383, 13, 10323, 46704, 11, 439, 264, 62307, 315, 31220, 11, 374, 539, 8581, 304, 279, 1162, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 13, 1115, 374, 1606, 420, 1162, 18065, 20535, 315, 279, 3268, 315, 279, 84503, 889, 574, 15164, 26360, 311, 264, 586, 2978, 4245, 311, 19739, 21934, 13, 10771, 311, 3842, 83022, 11, 1778, 2410, 1288, 11, 4869, 11, 387, 3917, 311, 12621, 323, 39954, 1990, 5370, 11977, 315, 279, 3109, 13, 1115, 6688, 7342, 311, 279, 7434, 315, 25768, 315, 13736, 627, 2028, 374, 264, 15398, 1405, 832, 23783, 872, 3268, 2085, 8850, 315, 11996, 2065, 555, 904, 9434, 2547, 13, 1102, 17208, 311, 279, 11542, 315, 7931, 13, 10771, 311, 279, 13625, 46487, 22454, 315, 279, 2326, 18039, 11, 1054, 33763, 4985, 904, 3314, 36980, 535, 904, 1732, 315, 2324, 11, 31220, 11, 477, 3424, 2085, 4245, 1920, 315, 2383, 863, 320, 975, 339, 22454, 570, 15483, 264, 41180, 374, 1101, 62411, 555, 279, 1162, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 430, 374, 7373, 8581, 311, 27409, 279, 19476, 315, 4443, 31220, 13, 763, 420, 1162, 11, 279, 11230, 315, 10690, 1880, 453, 11, 279, 43102, 11, 690, 12192, 4443, 31220, 13, 1115, 374, 1606, 10690, 753, 1314, 311, 6994, 4367, 6873, 374, 7373, 78643, 304, 279, 13625, 46487, 22454, 315, 279, 18039, 13, 432, 33211, 21934, 374, 264, 17192, 430, 1288, 16917, 387, 21095, 2403, 311, 6106, 430, 25543, 3268, 315, 7931, 527, 539, 34521, 13, 1102, 5764, 2917, 7278, 21934, 304, 279, 8141, 315, 2683, 10708, 11, 439, 1664, 439, 1023, 5789, 315, 586, 2532, 13, 763, 12976, 311, 83022, 753, 56203, 11, 912, 3927, 1288, 3242, 15686, 2500, 1732, 753, 31220, 11, 2324, 11, 439, 1664, 439, 53635, 13, 578, 3109, 734, 374, 11, 8617, 11, 311, 4546, 264, 8335, 304, 279, 709, 43591, 315, 1778, 3268, 627, 2170, 279, 7434, 315, 31220, 11, 24589, 19813, 311, 264, 1614, 315, 51360, 315, 264, 4040, 2547, 13, 1789, 2937, 11, 1855, 1614, 374, 264, 8821, 5897, 5502, 430, 374, 9678, 315, 279, 6918, 3109, 13, 3799, 6948, 1903, 555, 832, 1614, 7119, 1202, 44202, 527, 11, 8617, 11, 6646, 9678, 13, 10771, 311, 6385, 347, 354, 355, 11, 1054, 791, 21097, 5493, 2744, 6646, 433, 264, 17936, 3245, 311, 387, 21989, 555, 279, 3344, 288, 863, 320, 40, 613, 27625, 220, 6804, 570, 1102, 11, 9093, 11, 10187, 430, 17047, 1288, 539, 387, 1234, 279, 29672, 311, 1934, 311, 3885, 439, 279, 17966, 315, 2536, 45994, 2251, 10187, 13, 578, 4183, 26654, 1053, 387, 8581, 311, 26073, 24589, 315, 7931, 505, 33792, 323, 47748, 13, 763, 420, 1162, 11, 279, 11230, 315, 10690, 1880, 453, 1053, 12192, 24589, 13, 1115, 374, 1606, 1070, 527, 5157, 315, 19739, 21934, 1405, 7931, 527, 45487, 4184, 311, 872, 6930, 1933, 13, 2435, 617, 11, 9093, 11, 1027, 15164, 279, 6913, 3268, 430, 814, 1288, 636, 505, 279, 3109, 439, 3984, 555, 279, 18039, 627, 12, 19048, 1234, 264, 3109, 430, 706, 13693, 1555, 279, 16812, 198, 644, 420, 1162, 11, 7931, 527, 5535, 311, 10368, 872, 3268, 719, 2085, 279, 20535, 315, 1023, 1274, 753, 3268, 13, 7957, 31015, 1772, 7913, 430, 11, 1054, 2746, 3026, 1051, 46968, 11, 912, 3109, 1053, 387, 5995, 863, 320, 40, 613, 27625, 220, 3971, 570, 1115, 3445, 430, 279, 13612, 7580, 315, 279, 3109, 374, 311, 6106, 430, 439, 7931, 4774, 872, 3268, 11, 814, 1288, 58608, 505, 25654, 24992, 279, 3268, 315, 1023, 1274, 13, 362, 4528, 41180, 574, 3984, 555, 24051, 430, 279, 3109, 6866, 1054, 28753, 279, 58724, 315, 3026, 690, 539, 26965, 311, 279, 80330, 315, 2944, 323, 12437, 2085, 22295, 863, 320, 40, 613, 27625, 220, 868, 570, 578, 26654, 1162, 374, 8581, 311, 26073, 31220, 304, 420, 2317, 13, 1442, 10690, 15160, 279, 1162, 11, 420, 690, 3152, 12845, 304, 19546, 31220, 1234, 420, 6037, 13, 8876, 279, 26884, 706, 15164, 279, 43102, 279, 1314, 311, 6994, 6873, 11, 279, 3109, 1288, 11, 8617, 11, 55579, 304, 23391, 430, 12437, 8031, 6341, 439, 279, 18039, 374, 62411, 13, 1789, 2937, 11, 439, 279, 3772, 4774, 11542, 315, 7645, 11, 814, 1288, 656, 779, 304, 264, 11827, 430, 912, 832, 753, 3268, 527, 45119, 291, 627, 12, 20636, 264, 3544, 3158, 315, 4443, 12014, 2085, 1520, 505, 3109, 198, 9374, 1368, 304, 420, 2317, 19813, 311, 264, 15398, 1405, 1070, 374, 27862, 2410, 430, 374, 539, 14400, 477, 22486, 555, 279, 2383, 13, 578, 3109, 1587, 539, 40978, 304, 7931, 529, 3268, 323, 11542, 13, 763, 279, 1890, 11827, 11, 279, 3109, 1587, 539, 2586, 311, 279, 17629, 315, 5606, 6832, 3268, 617, 1027, 34521, 13, 10771, 311, 84830, 7553, 15357, 4852, 11, 1054, 11076, 5647, 15972, 430, 893, 4460, 279, 9313, 430, 279, 46384, 3984, 2403, 832, 753, 12637, 893, 26, 3925, 15972, 430, 893, 4460, 9313, 505, 279, 46384, 439, 1664, 863, 320, 40, 613, 27625, 220, 1806, 570, 578, 3109, 374, 11, 8617, 11, 1234, 912, 29672, 311, 6144, 1202, 10495, 505, 279, 54443, 315, 872, 3268, 13, 1115, 649, 3063, 311, 279, 1890, 3109, 4083, 57881, 1202, 10495, 13, 1115, 26654, 374, 8581, 311, 26073, 31220, 1234, 420, 2317, 13, 1442, 279, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 15160, 279, 1162, 11, 420, 1436, 387, 264, 15398, 1405, 279, 3109, 14865, 311, 3085, 8475, 1862, 311, 1202, 10495, 304, 279, 2317, 315, 709, 43591, 25543, 2191, 627, 791, 7434, 315, 31220, 706, 11, 9093, 11, 1027, 30239, 449, 5905, 311, 279, 26654, 304, 279, 13814, 7301, 1162, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 11, 220, 6280, 19, 13, 9062, 22618, 374, 10171, 311, 4774, 872, 25543, 3268, 439, 19883, 555, 279, 18039, 13, 1102, 374, 1101, 3062, 311, 6420, 430, 1418, 22128, 872, 25543, 3268, 11, 832, 1288, 5766, 45462, 279, 3268, 315, 1023, 1274, 13, 128001, 128000, 2028, 12735, 15100, 11756, 93542, 91409, 11, 902, 374, 15324, 439, 264, 10937, 1990, 35784, 367, 311, 14812, 3956, 323, 40652, 1612, 67184, 430, 7739, 82486, 13, 578, 12717, 16945, 315, 11756, 93542, 91409, 374, 279, 5788, 315, 14812, 17055, 74441, 1612, 484, 349, 3956, 505, 264, 11756, 596, 10213, 82688, 6070, 311, 387, 1511, 439, 18386, 40373, 477, 26333, 13, 25850, 7222, 323, 18528, 527, 6156, 9547, 430, 10383, 93542, 91409, 7865, 323, 11, 8051, 1063, 315, 430, 10383, 1253, 387, 23075, 555, 7859, 1920, 31020, 477, 279, 1005, 315, 51483, 82, 11, 1521, 2671, 1253, 387, 5663, 34370, 304, 18189, 10565, 18512, 13, 578, 12735, 15100, 430, 1080, 1147, 315, 1579, 2860, 72591, 2262, 527, 8965, 14592, 505, 1579, 99107, 11, 29691, 1069, 266, 8627, 287, 22484, 304, 902, 24032, 527, 810, 4642, 13, 94628, 315, 68700, 12970, 17808, 7384, 555, 24032, 311, 279, 58758, 1253, 617, 439, 1790, 5536, 389, 2860, 14747, 323, 5707, 5788, 2391, 93542, 91409, 439, 72591, 627, 91, 18902, 4221, 8651, 23392, 320, 2078, 8, 7511, 91, 3936, 315, 3552, 17009, 8651, 76956, 25850, 62579, 36781, 7511, 91, 2903, 315, 6959, 8651, 1544, 7511, 91, 1423, 8651, 29986, 482, 3799, 220, 16, 220, 1049, 23, 7511, 2460, 10170, 10139, 55982, 320, 1950, 59467, 8, 14236, 198, 12, 9420, 323, 9878, 16238, 23199, 21013, 8, 128001, 128000, 23078, 374, 832, 315, 279, 220, 20, 15690, 3697, 315, 279, 8398, 9251, 320, 8370, 374, 279, 9046, 430, 12789, 449, 6625, 24679, 570, 13659, 220, 1544, 5415, 1473, 15721, 26, 5005, 6948, 315, 279, 8398, 9251, 389, 682, 1023, 13146, 4985, 387, 1903, 555, 459, 68741, 7055, 315, 11888, 3697, 3146, 16564, 279, 390, 46839, 12973, 315, 279, 15690, 3697, 334, 401, 32, 3254, 48960, 555, 264, 47083, 34, 15690, 4562, 374, 3403, 311, 5622, 904, 11175, 13, 14636, 11, 422, 264, 11175, 311, 45361, 5734, 1051, 311, 733, 1603, 279, 47083, 34, 11, 814, 649, 40522, 48960, 323, 5622, 433, 382, 22186, 279, 1887, 1304, 5647, 30, 2876, 8104, 13, 2030, 430, 596, 279, 6037, 439, 5439, 13, 128001, 128000, 40, 4344, 264, 3566, 323, 21154, 15034, 449, 927, 264, 13515, 315, 3217, 304, 279, 2115, 323, 369, 279, 3347, 220, 605, 1667, 358, 617, 6575, 449, 6625, 5220, 11, 24950, 505, 2678, 20021, 311, 33415, 220, 2636, 25341, 627, 644, 279, 1566, 220, 17, 1667, 358, 617, 1027, 30829, 323, 11486, 350, 49760, 389, 5370, 15771, 323, 304, 420, 892, 358, 617, 20802, 264, 2763, 315, 3217, 389, 1148, 1274, 527, 3411, 369, 994, 12096, 264, 350, 34768, 323, 1148, 15845, 14769, 4662, 1888, 13, 128001 ]
[ -100, 9374, 1368, 19813, 311, 264, 1614, 315, 11542, 1405, 7931, 2585, 872, 1866, 6299, 2085, 1694, 3917, 311, 9434, 10383, 13, 1115, 13980, 994, 832, 1587, 539, 1205, 311, 6904, 389, 2500, 304, 279, 5178, 315, 872, 22006, 13, 3861, 753, 1314, 374, 1949, 505, 54443, 555, 264, 4948, 4717, 13, 763, 420, 16720, 11, 5370, 13878, 315, 31220, 527, 27463, 13, 8876, 31220, 649, 1935, 2204, 7739, 11, 433, 374, 5995, 311, 37455, 389, 279, 6492, 315, 1855, 315, 1521, 7739, 304, 2015, 311, 18885, 279, 8830, 315, 279, 7434, 315, 31220, 13, 763, 420, 6492, 11, 264, 1972, 15398, 315, 264, 1162, 6773, 555, 279, 13814, 7301, 374, 1511, 311, 18885, 279, 31220, 315, 279, 7931, 11920, 13, 578, 1162, 4183, 304, 3717, 449, 420, 374, 430, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 11, 220, 6280, 19, 13, 578, 19476, 315, 420, 1162, 690, 387, 30239, 304, 2015, 311, 4546, 704, 279, 7438, 315, 2204, 7739, 315, 31220, 627, 644, 3878, 315, 659, 46704, 11, 31220, 19813, 311, 264, 6671, 1405, 832, 649, 10491, 389, 279, 8475, 3388, 315, 1957, 2085, 1694, 4320, 481, 311, 904, 4948, 4717, 13, 1115, 17037, 13980, 4315, 5961, 5304, 30240, 24589, 13, 763, 420, 1162, 11, 264, 1614, 74198, 1202, 7677, 14614, 2085, 1694, 36977, 311, 904, 1023, 1614, 477, 2547, 13, 578, 3224, 374, 6646, 459, 39293, 2547, 13, 1102, 5415, 430, 7931, 617, 459, 3237, 1314, 311, 4135, 6164, 315, 872, 1866, 5873, 2085, 9434, 10383, 13, 10323, 46704, 11, 439, 264, 62307, 315, 31220, 11, 374, 539, 8581, 304, 279, 1162, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 13, 1115, 374, 1606, 420, 1162, 18065, 20535, 315, 279, 3268, 315, 279, 84503, 889, 574, 15164, 26360, 311, 264, 586, 2978, 4245, 311, 19739, 21934, 13, 10771, 311, 3842, 83022, 11, 1778, 2410, 1288, 11, 4869, 11, 387, 3917, 311, 12621, 323, 39954, 1990, 5370, 11977, 315, 279, 3109, 13, 1115, 6688, 7342, 311, 279, 7434, 315, 25768, 315, 13736, 627, 2028, 374, 264, 15398, 1405, 832, 23783, 872, 3268, 2085, 8850, 315, 11996, 2065, 555, 904, 9434, 2547, 13, 1102, 17208, 311, 279, 11542, 315, 7931, 13, 10771, 311, 279, 13625, 46487, 22454, 315, 279, 2326, 18039, 11, 1054, 33763, 4985, 904, 3314, 36980, 535, 904, 1732, 315, 2324, 11, 31220, 11, 477, 3424, 2085, 4245, 1920, 315, 2383, 863, 320, 975, 339, 22454, 570, 15483, 264, 41180, 374, 1101, 62411, 555, 279, 1162, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 430, 374, 7373, 8581, 311, 27409, 279, 19476, 315, 4443, 31220, 13, 763, 420, 1162, 11, 279, 11230, 315, 10690, 1880, 453, 11, 279, 43102, 11, 690, 12192, 4443, 31220, 13, 1115, 374, 1606, 10690, 753, 1314, 311, 6994, 4367, 6873, 374, 7373, 78643, 304, 279, 13625, 46487, 22454, 315, 279, 18039, 13, 432, 33211, 21934, 374, 264, 17192, 430, 1288, 16917, 387, 21095, 2403, 311, 6106, 430, 25543, 3268, 315, 7931, 527, 539, 34521, 13, 1102, 5764, 2917, 7278, 21934, 304, 279, 8141, 315, 2683, 10708, 11, 439, 1664, 439, 1023, 5789, 315, 586, 2532, 13, 763, 12976, 311, 83022, 753, 56203, 11, 912, 3927, 1288, 3242, 15686, 2500, 1732, 753, 31220, 11, 2324, 11, 439, 1664, 439, 53635, 13, 578, 3109, 734, 374, 11, 8617, 11, 311, 4546, 264, 8335, 304, 279, 709, 43591, 315, 1778, 3268, 627, 2170, 279, 7434, 315, 31220, 11, 24589, 19813, 311, 264, 1614, 315, 51360, 315, 264, 4040, 2547, 13, 1789, 2937, 11, 1855, 1614, 374, 264, 8821, 5897, 5502, 430, 374, 9678, 315, 279, 6918, 3109, 13, 3799, 6948, 1903, 555, 832, 1614, 7119, 1202, 44202, 527, 11, 8617, 11, 6646, 9678, 13, 10771, 311, 6385, 347, 354, 355, 11, 1054, 791, 21097, 5493, 2744, 6646, 433, 264, 17936, 3245, 311, 387, 21989, 555, 279, 3344, 288, 863, 320, 40, 613, 27625, 220, 6804, 570, 1102, 11, 9093, 11, 10187, 430, 17047, 1288, 539, 387, 1234, 279, 29672, 311, 1934, 311, 3885, 439, 279, 17966, 315, 2536, 45994, 2251, 10187, 13, 578, 4183, 26654, 1053, 387, 8581, 311, 26073, 24589, 315, 7931, 505, 33792, 323, 47748, 13, 763, 420, 1162, 11, 279, 11230, 315, 10690, 1880, 453, 1053, 12192, 24589, 13, 1115, 374, 1606, 1070, 527, 5157, 315, 19739, 21934, 1405, 7931, 527, 45487, 4184, 311, 872, 6930, 1933, 13, 2435, 617, 11, 9093, 11, 1027, 15164, 279, 6913, 3268, 430, 814, 1288, 636, 505, 279, 3109, 439, 3984, 555, 279, 18039, 627, 12, 19048, 1234, 264, 3109, 430, 706, 13693, 1555, 279, 16812, 198, 644, 420, 1162, 11, 7931, 527, 5535, 311, 10368, 872, 3268, 719, 2085, 279, 20535, 315, 1023, 1274, 753, 3268, 13, 7957, 31015, 1772, 7913, 430, 11, 1054, 2746, 3026, 1051, 46968, 11, 912, 3109, 1053, 387, 5995, 863, 320, 40, 613, 27625, 220, 3971, 570, 1115, 3445, 430, 279, 13612, 7580, 315, 279, 3109, 374, 311, 6106, 430, 439, 7931, 4774, 872, 3268, 11, 814, 1288, 58608, 505, 25654, 24992, 279, 3268, 315, 1023, 1274, 13, 362, 4528, 41180, 574, 3984, 555, 24051, 430, 279, 3109, 6866, 1054, 28753, 279, 58724, 315, 3026, 690, 539, 26965, 311, 279, 80330, 315, 2944, 323, 12437, 2085, 22295, 863, 320, 40, 613, 27625, 220, 868, 570, 578, 26654, 1162, 374, 8581, 311, 26073, 31220, 304, 420, 2317, 13, 1442, 10690, 15160, 279, 1162, 11, 420, 690, 3152, 12845, 304, 19546, 31220, 1234, 420, 6037, 13, 8876, 279, 26884, 706, 15164, 279, 43102, 279, 1314, 311, 6994, 6873, 11, 279, 3109, 1288, 11, 8617, 11, 55579, 304, 23391, 430, 12437, 8031, 6341, 439, 279, 18039, 374, 62411, 13, 1789, 2937, 11, 439, 279, 3772, 4774, 11542, 315, 7645, 11, 814, 1288, 656, 779, 304, 264, 11827, 430, 912, 832, 753, 3268, 527, 45119, 291, 627, 12, 20636, 264, 3544, 3158, 315, 4443, 12014, 2085, 1520, 505, 3109, 198, 9374, 1368, 304, 420, 2317, 19813, 311, 264, 15398, 1405, 1070, 374, 27862, 2410, 430, 374, 539, 14400, 477, 22486, 555, 279, 2383, 13, 578, 3109, 1587, 539, 40978, 304, 7931, 529, 3268, 323, 11542, 13, 763, 279, 1890, 11827, 11, 279, 3109, 1587, 539, 2586, 311, 279, 17629, 315, 5606, 6832, 3268, 617, 1027, 34521, 13, 10771, 311, 84830, 7553, 15357, 4852, 11, 1054, 11076, 5647, 15972, 430, 893, 4460, 279, 9313, 430, 279, 46384, 3984, 2403, 832, 753, 12637, 893, 26, 3925, 15972, 430, 893, 4460, 9313, 505, 279, 46384, 439, 1664, 863, 320, 40, 613, 27625, 220, 1806, 570, 578, 3109, 374, 11, 8617, 11, 1234, 912, 29672, 311, 6144, 1202, 10495, 505, 279, 54443, 315, 872, 3268, 13, 1115, 649, 3063, 311, 279, 1890, 3109, 4083, 57881, 1202, 10495, 13, 1115, 26654, 374, 8581, 311, 26073, 31220, 1234, 420, 2317, 13, 1442, 279, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 15160, 279, 1162, 11, 420, 1436, 387, 264, 15398, 1405, 279, 3109, 14865, 311, 3085, 8475, 1862, 311, 1202, 10495, 304, 279, 2317, 315, 709, 43591, 25543, 2191, 627, 791, 7434, 315, 31220, 706, 11, 9093, 11, 1027, 30239, 449, 5905, 311, 279, 26654, 304, 279, 13814, 7301, 1162, 315, 10690, 1880, 453, 6296, 13, 8925, 315, 11930, 315, 2057, 375, 4657, 1880, 453, 11, 220, 6280, 19, 13, 9062, 22618, 374, 10171, 311, 4774, 872, 25543, 3268, 439, 19883, 555, 279, 18039, 13, 1102, 374, 1101, 3062, 311, 6420, 430, 1418, 22128, 872, 25543, 3268, 11, 832, 1288, 5766, 45462, 279, 3268, 315, 1023, 1274, 13, 128001, -100, 2028, 12735, 15100, 11756, 93542, 91409, 11, 902, 374, 15324, 439, 264, 10937, 1990, 35784, 367, 311, 14812, 3956, 323, 40652, 1612, 67184, 430, 7739, 82486, 13, 578, 12717, 16945, 315, 11756, 93542, 91409, 374, 279, 5788, 315, 14812, 17055, 74441, 1612, 484, 349, 3956, 505, 264, 11756, 596, 10213, 82688, 6070, 311, 387, 1511, 439, 18386, 40373, 477, 26333, 13, 25850, 7222, 323, 18528, 527, 6156, 9547, 430, 10383, 93542, 91409, 7865, 323, 11, 8051, 1063, 315, 430, 10383, 1253, 387, 23075, 555, 7859, 1920, 31020, 477, 279, 1005, 315, 51483, 82, 11, 1521, 2671, 1253, 387, 5663, 34370, 304, 18189, 10565, 18512, 13, 578, 12735, 15100, 430, 1080, 1147, 315, 1579, 2860, 72591, 2262, 527, 8965, 14592, 505, 1579, 99107, 11, 29691, 1069, 266, 8627, 287, 22484, 304, 902, 24032, 527, 810, 4642, 13, 94628, 315, 68700, 12970, 17808, 7384, 555, 24032, 311, 279, 58758, 1253, 617, 439, 1790, 5536, 389, 2860, 14747, 323, 5707, 5788, 2391, 93542, 91409, 439, 72591, 627, 91, 18902, 4221, 8651, 23392, 320, 2078, 8, 7511, 91, 3936, 315, 3552, 17009, 8651, 76956, 25850, 62579, 36781, 7511, 91, 2903, 315, 6959, 8651, 1544, 7511, 91, 1423, 8651, 29986, 482, 3799, 220, 16, 220, 1049, 23, 7511, 2460, 10170, 10139, 55982, 320, 1950, 59467, 8, 14236, 198, 12, 9420, 323, 9878, 16238, 23199, 21013, 8, 128001, -100, 23078, 374, 832, 315, 279, 220, 20, 15690, 3697, 315, 279, 8398, 9251, 320, 8370, 374, 279, 9046, 430, 12789, 449, 6625, 24679, 570, 13659, 220, 1544, 5415, 1473, 15721, 26, 5005, 6948, 315, 279, 8398, 9251, 389, 682, 1023, 13146, 4985, 387, 1903, 555, 459, 68741, 7055, 315, 11888, 3697, 3146, 16564, 279, 390, 46839, 12973, 315, 279, 15690, 3697, 334, 401, 32, 3254, 48960, 555, 264, 47083, 34, 15690, 4562, 374, 3403, 311, 5622, 904, 11175, 13, 14636, 11, 422, 264, 11175, 311, 45361, 5734, 1051, 311, 733, 1603, 279, 47083, 34, 11, 814, 649, 40522, 48960, 323, 5622, 433, 382, 22186, 279, 1887, 1304, 5647, 30, 2876, 8104, 13, 2030, 430, 596, 279, 6037, 439, 5439, 13, 128001, -100, 40, 4344, 264, 3566, 323, 21154, 15034, 449, 927, 264, 13515, 315, 3217, 304, 279, 2115, 323, 369, 279, 3347, 220, 605, 1667, 358, 617, 6575, 449, 6625, 5220, 11, 24950, 505, 2678, 20021, 311, 33415, 220, 2636, 25341, 627, 644, 279, 1566, 220, 17, 1667, 358, 617, 1027, 30829, 323, 11486, 350, 49760, 389, 5370, 15771, 323, 304, 420, 892, 358, 617, 20802, 264, 2763, 315, 3217, 389, 1148, 1274, 527, 3411, 369, 994, 12096, 264, 350, 34768, 323, 1148, 15845, 14769, 4662, 1888, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87 ]
[ 128000, 34, 33276, 55908, 520, 10780, 51143, 220, 23, 14, 845, 14, 679, 22, 3658, 41217, 66290, 323, 33810, 919, 198, 41619, 11, 6287, 220, 845, 11, 220, 679, 22, 198, 54, 14746, 3258, 8771, 198, 1991, 11791, 954, 41217, 21448, 323, 5238, 389, 420, 1847, 627, 38080, 481, 46676, 388, 25, 66805, 43314, 6296, 13, 3842, 68502, 1216, 198, 791, 36239, 55908, 4034, 468, 14746, 3258, 8771, 389, 8079, 11, 6287, 220, 845, 11, 220, 679, 22, 311, 1514, 279, 10780, 51143, 13, 578, 35977, 43806, 527, 66805, 43314, 369, 279, 55908, 323, 3842, 68502, 1216, 369, 279, 51143, 627, 11180, 400, 1399, 304, 12308, 41217, 66290, 2360, 56875, 18413, 9369, 5810, 198, 791, 8736, 1584, 369, 420, 45937, 706, 36239, 520, 489, 6393, 323, 10780, 520, 482, 8848, 13, 578, 55908, 617, 264, 220, 2397, 12, 1135, 12, 19, 927, 14, 8154, 3335, 323, 264, 220, 2946, 12, 1399, 12, 15, 1629, 1584, 1906, 13, 578, 51143, 527, 220, 2491, 12, 2614, 12, 15, 2403, 279, 1629, 1584, 323, 617, 264, 220, 4370, 12, 3226, 12, 21, 927, 14, 8154, 3335, 627, 2257, 13429, 36239, 55908, 85085, 50730, 198, 791, 36239, 55908, 527, 220, 2397, 12, 1135, 12, 19, 2403, 279, 927, 14, 8154, 198, 791, 36239, 55908, 527, 220, 2946, 12, 1399, 12, 15, 2403, 279, 1629, 1584, 198, 53380, 10780, 51143, 85085, 50730, 198, 791, 10780, 51143, 527, 220, 4370, 12, 3226, 12, 21, 2403, 279, 927, 14, 8154, 198, 791, 10780, 51143, 527, 220, 2491, 12, 2614, 12, 15, 2403, 279, 1629, 1584, 198, 1622, 36239, 55908, 763, 90927, 198, 2318, 14, 868, 14, 1114, 356, 81092, 36684, 269, 16833, 15819, 220, 605, 11477, 34075, 320, 2318, 14, 868, 340, 2318, 14, 1032, 14, 1114, 393, 19816, 3320, 560, 17072, 220, 605, 11477, 34075, 320, 2318, 14, 1032, 340, 2318, 14, 605, 14, 1114, 393, 44172, 278, 424, 998, 13789, 6374, 4072, 15802, 220, 605, 11477, 34075, 320, 2318, 14, 2589, 340, 2318, 14, 2437, 14, 1114, 58236, 10016, 54772, 78562, 80872, 220, 605, 11477, 34075, 320, 2589, 14, 2148, 8, 10780, 51143, 763, 90927, 198, 2318, 14, 975, 14, 1114, 220, 17, 33, 7505, 1901, 677, 2889, 44055, 83829, 7742, 6296, 13, 36239, 55908, 55908, 617, 264, 220, 2491, 12, 2031, 8244, 3335, 420, 3280, 13, 28757, 42070, 66805, 43314, 706, 264, 220, 19, 12, 21, 3335, 449, 459, 15662, 1629, 5578, 315, 220, 23, 13, 2148, 323, 264, 8662, 3378, 315, 220, 17, 13, 2371, 13, 1283, 706, 220, 2148, 90026, 927, 813, 220, 2618, 13, 17, 36100, 50098, 323, 568, 596, 2728, 709, 220, 5332, 13280, 13, 1283, 6276, 220, 1032, 13, 21, 13280, 824, 220, 24, 36100, 323, 568, 706, 264, 435, 3378, 315, 220, 20, 13, 5833, 13, 578, 82755, 706, 459, 15662, 1629, 5578, 315, 220, 19, 13, 843, 323, 814, 617, 2728, 709, 220, 12819, 2385, 13280, 389, 279, 1060, 13, 40713, 527, 20129, 662, 14815, 2403, 279, 82755, 323, 814, 3077, 17948, 704, 220, 21675, 81133, 323, 15203, 220, 5926, 293, 10385, 13, 1666, 264, 2128, 11, 36239, 6276, 220, 24, 13, 18, 13280, 824, 11888, 36100, 1418, 21933, 704, 220, 23, 13, 16, 293, 10385, 824, 11888, 36100, 13, 2435, 527, 220, 966, 339, 304, 279, 10966, 304, 2128, 15662, 1629, 5578, 520, 220, 20, 13, 843, 13, 578, 55908, 61650, 45925, 617, 2728, 709, 220, 16, 11, 27311, 2385, 13280, 323, 220, 22801, 15662, 8640, 13, 2435, 617, 5535, 220, 3753, 2162, 8640, 420, 3280, 11, 23862, 1124, 220, 16, 267, 304, 279, 10966, 13, 36239, 439, 264, 47541, 5687, 706, 15203, 220, 10617, 293, 10385, 323, 17948, 704, 220, 25741, 13, 2435, 617, 15203, 220, 18, 13, 23, 3026, 824, 220, 24, 36100, 1418, 21933, 704, 220, 23, 13, 16, 824, 220, 24, 13, 2435, 617, 264, 2128, 8662, 3378, 315, 220, 16, 13, 2790, 323, 872, 435, 3378, 439, 264, 5089, 374, 220, 20, 13, 1691, 627, 39, 15154, 25647, 198, 2170, 264, 2128, 36239, 374, 20129, 662, 12375, 11, 1695, 369, 220, 972, 339, 304, 279, 10966, 13, 578, 55908, 3412, 264, 662, 20596, 2128, 1776, 36368, 11668, 323, 459, 389, 31113, 11668, 315, 662, 16884, 11, 902, 374, 1695, 369, 220, 975, 339, 304, 20075, 13, 2435, 7222, 220, 1114, 339, 304, 41217, 449, 220, 23, 13, 22, 13280, 824, 1847, 13, 55835, 650, 36726, 374, 20129, 662, 16718, 449, 459, 389, 31113, 11668, 315, 662, 20800, 13, 1283, 706, 220, 9263, 13280, 420, 3280, 304, 220, 19288, 520, 43308, 449, 220, 6069, 8640, 293, 12400, 304, 13, 1283, 706, 264, 1776, 36368, 11668, 315, 662, 21006, 323, 459, 83955, 10, 315, 220, 8258, 13, 15387, 423, 12328, 543, 374, 20129, 662, 11387, 420, 1060, 323, 568, 706, 459, 389, 31113, 11668, 315, 662, 15231, 13, 1283, 706, 89518, 220, 8027, 13280, 323, 568, 706, 16625, 304, 220, 5932, 3026, 304, 220, 20385, 520, 43308, 13, 5414, 83955, 10, 374, 220, 7261, 1418, 813, 1776, 36368, 11668, 374, 520, 662, 18415, 13, 578, 55908, 617, 220, 16, 11, 21040, 13280, 11, 2737, 220, 10750, 40396, 323, 220, 8953, 2162, 8640, 13, 36239, 706, 15203, 220, 18058, 3115, 779, 3117, 420, 3280, 323, 814, 617, 17948, 704, 220, 27341, 3115, 439, 264, 5089, 13, 2435, 617, 2163, 220, 25496, 3026, 389, 2385, 323, 617, 264, 2128, 83955, 315, 662, 23275, 13, 2435, 5573, 220, 19, 13, 2614, 8640, 824, 14130, 323, 617, 16957, 264, 2860, 315, 220, 23906, 8640, 420, 1060, 627, 10464, 1285, 46676, 287, 25647, 198, 47275, 706, 264, 220, 5538, 12, 2131, 8244, 1906, 420, 1060, 13, 3161, 459, 15662, 1629, 5578, 315, 220, 19, 13, 6086, 11, 3842, 68502, 1216, 706, 264, 220, 605, 12, 24, 3335, 323, 264, 220, 16, 13, 1644, 8662, 3378, 13, 1283, 706, 220, 7743, 90026, 927, 279, 220, 6549, 36100, 568, 596, 50098, 13, 1283, 596, 1101, 2728, 709, 220, 9390, 13280, 13, 1283, 6276, 220, 24, 13, 16, 13280, 824, 11888, 36100, 323, 813, 435, 3378, 13656, 520, 220, 20, 13, 5495, 13, 578, 82755, 706, 459, 15662, 1629, 5578, 315, 220, 18, 13, 1135, 323, 814, 617, 2728, 709, 220, 16104, 2385, 13280, 389, 279, 1060, 13, 40713, 527, 20129, 662, 11702, 2403, 279, 51143, 82755, 13, 11205, 59644, 3078, 617, 17948, 704, 220, 21299, 293, 10385, 323, 15203, 220, 9741, 31322, 81133, 13, 1666, 264, 2128, 11, 10780, 6276, 220, 23, 13280, 824, 11888, 36100, 1418, 21933, 704, 220, 23, 13, 23, 293, 10385, 824, 11888, 36100, 13, 2435, 527, 220, 22, 339, 304, 279, 10966, 304, 2128, 15662, 1629, 5578, 520, 220, 18, 13, 3534, 13, 578, 51143, 61650, 439, 264, 2128, 617, 71044, 220, 23890, 2385, 85769, 323, 220, 16551, 15662, 8640, 420, 3280, 13, 2435, 617, 2728, 709, 220, 10239, 2162, 8640, 420, 1060, 11, 902, 21467, 220, 777, 339, 304, 17559, 9130, 38258, 13, 10780, 439, 264, 5687, 706, 15203, 220, 17264, 81133, 323, 17948, 704, 220, 16, 11, 19592, 293, 10385, 13, 2435, 3041, 709, 264, 4321, 220, 18, 13, 20, 3115, 824, 220, 24, 36100, 1418, 814, 13471, 704, 220, 23, 13, 23, 824, 220, 24, 13, 11205, 2128, 8662, 3378, 374, 220, 16, 13, 1544, 1418, 872, 435, 3378, 439, 264, 5687, 374, 220, 19, 13, 914, 627, 39, 15154, 25647, 198, 2170, 264, 2128, 11, 814, 527, 51910, 662, 14735, 11, 1695, 369, 220, 1691, 267, 304, 279, 10966, 13, 578, 51143, 3412, 264, 662, 21299, 2128, 1776, 36368, 11668, 323, 459, 389, 31113, 11668, 315, 662, 16707, 11, 902, 374, 1695, 369, 220, 24, 339, 304, 20075, 13, 2435, 7222, 220, 1419, 6634, 304, 41217, 449, 220, 23, 13, 19, 13280, 824, 14130, 13, 71309, 426, 6043, 89, 4131, 1139, 420, 45937, 51910, 662, 15741, 449, 459, 507, 27187, 315, 662, 13384, 13, 1283, 706, 220, 1954, 13280, 420, 1060, 3235, 449, 220, 4370, 54041, 304, 220, 16707, 14469, 596, 13, 1283, 33095, 264, 1776, 36368, 11668, 315, 662, 21962, 449, 459, 83955, 10, 315, 220, 7699, 13, 21353, 432, 61306, 374, 20129, 662, 14274, 420, 3280, 323, 568, 706, 459, 507, 27187, 315, 662, 12910, 13, 1283, 706, 14890, 220, 5037, 13280, 304, 220, 18517, 520, 43308, 1418, 10043, 304, 220, 4767, 8640, 13, 1283, 706, 459, 83955, 10, 315, 220, 5894, 323, 264, 1776, 36368, 11668, 315, 662, 17786, 13, 578, 51143, 439, 264, 5089, 617, 220, 22207, 2385, 13280, 11, 2737, 220, 6280, 40396, 323, 220, 8953, 98698, 13, 10780, 706, 15203, 220, 21299, 3115, 420, 1060, 323, 814, 617, 17948, 704, 389, 220, 22897, 25975, 13, 2435, 617, 1047, 220, 22091, 3026, 2163, 389, 2385, 323, 617, 459, 83955, 315, 662, 23275, 13, 2435, 617, 16957, 220, 19, 13, 23, 8640, 824, 1847, 323, 89518, 220, 19242, 8640, 420, 3280, 627, 15546, 690, 3243, 18396, 596, 55908, 11547, 16115, 41217, 1847, 2403, 279, 9041, 5380, 58834, 596, 20305, 25, 12040, 279, 51143, 220, 128001, 128000, 9642, 11, 369, 3187, 304, 25361, 279, 70003, 1358, 374, 11798, 439, 264, 83210, 477, 2472, 13, 763, 1674, 11, 1070, 374, 4762, 264, 83210, 8292, 304, 279, 12914, 482, 719, 358, 9167, 956, 1511, 1674, 369, 1667, 779, 358, 1541, 956, 1440, 1148, 433, 596, 2663, 13, 763, 662, 4816, 369, 3187, 433, 596, 2663, 264, 10685, 779, 433, 2643, 539, 387, 2663, 83210, 304, 1674, 627, 2746, 1855, 4124, 5666, 368, 706, 311, 387, 2663, 389, 1475, 1847, 1735, 11, 1070, 374, 912, 1648, 2212, 3604, 8260, 433, 13, 358, 2846, 539, 2771, 1148, 499, 3152, 449, 330, 2827, 80837, 26991, 5196, 3343, 12361, 315, 264, 83210, 477, 5217, 311, 433, 11, 499, 649, 617, 264, 20406, 5021, 6070, 1405, 499, 2231, 701, 6302, 304, 422, 499, 1390, 13, 358, 1781, 22462, 1587, 420, 13, 4452, 11, 499, 4762, 1390, 264, 83210, 1828, 311, 433, 439, 1664, 779, 499, 649, 636, 459, 1665, 2728, 1202, 5016, 13193, 627, 5730, 66, 3443, 410, 9550, 8876, 220, 1591, 13806, 220, 679, 15, 198, 53663, 8155, 10106, 4448, 220, 966, 220, 679, 18, 220, 2437, 25, 1682, 5975, 198, 34868, 31027, 198, 12, 5856, 17384, 198, 12, 10106, 15781, 220, 1114, 198, 12, 12609, 25987, 220, 16, 11, 20502, 198, 12, 72989, 26496, 220, 15, 198, 12, 12308, 11106, 12308, 198, 12, 13381, 13381, 22435, 198, 12, 37340, 37340, 22435, 198, 12, 29317, 198, 2688, 350, 6427, 198, 9263, 21579, 128001, 128000, 51, 72518, 18452, 347, 347, 408, 26692, 37102, 1636, 2057, 35106, 95937, 9119, 31974, 198, 51, 72518, 25447, 7487, 617, 1027, 33850, 5789, 315, 22408, 347, 347, 408, 2298, 520, 279, 10411, 315, 279, 13218, 11, 2212, 480, 21495, 645, 393, 2419, 11, 311, 5471, 264, 33318, 5021, 8624, 505, 4737, 2515, 627, 50, 39095, 18787, 16290, 574, 11352, 304, 279, 549, 815, 304, 220, 2550, 20, 323, 706, 9041, 311, 13527, 323, 11519, 89461, 71, 4214, 11, 87805, 315, 279, 65555, 43143, 11, 2795, 279, 8624, 13452, 311, 1005, 22408, 347, 347, 408, 2298, 439, 264, 3552, 627, 791, 8624, 706, 279, 1890, 33318, 22223, 389, 38971, 12690, 430, 24113, 65329, 31974, 1047, 389, 4072, 1026, 389, 279, 51115, 11, 449, 279, 1853, 11968, 17843, 993, 4692, 11953, 555, 10160, 323, 11422, 13284, 627, 791, 13218, 706, 3544, 36658, 315, 22408, 347, 347, 408, 26692, 323, 11519, 2795, 1521, 527, 1694, 23803, 439, 264, 72147, 627, 35541, 2795, 279, 13218, 706, 1027, 10273, 15870, 323, 1070, 374, 912, 1879, 315, 279, 8624, 1618, 779, 3117, 13, 128001, 128000, 2028, 2571, 1445, 315, 279, 117214, 1030, 34549, 21995, 4783, 12678, 374, 304, 16044, 315, 18587, 435, 33712, 13, 20817, 1022, 315, 2380, 315, 279, 4632, 596, 1455, 33596, 5885, 11, 2563, 1564, 11, 423, 56012, 11, 323, 315, 3388, 11, 18206, 25225, 69, 1543, 362, 27542, 3061, 94006, 11, 1521, 34549, 12678, 95263, 1063, 315, 279, 1890, 704, 1974, 819, 323, 927, 279, 1948, 1742, 315, 279, 28812, 4632, 13, 46327, 13489, 11888, 15271, 16615, 11, 279, 6666, 311, 7872, 374, 7858, 389, 11, 3515, 459, 30883, 93874, 311, 279, 20142, 1418, 40880, 682, 279, 1167, 3852, 4907, 430, 279, 10868, 5812, 315, 26002, 4783, 15609, 13, 2435, 8854, 439, 279, 4832, 27626, 311, 2567, 430, 21995, 4783, 9090, 13989, 1418, 31526, 7238, 6354, 51956, 26709, 367, 13, 128001 ]
[ -100, 34, 33276, 55908, 520, 10780, 51143, 220, 23, 14, 845, 14, 679, 22, 3658, 41217, 66290, 323, 33810, 919, 198, 41619, 11, 6287, 220, 845, 11, 220, 679, 22, 198, 54, 14746, 3258, 8771, 198, 1991, 11791, 954, 41217, 21448, 323, 5238, 389, 420, 1847, 627, 38080, 481, 46676, 388, 25, 66805, 43314, 6296, 13, 3842, 68502, 1216, 198, 791, 36239, 55908, 4034, 468, 14746, 3258, 8771, 389, 8079, 11, 6287, 220, 845, 11, 220, 679, 22, 311, 1514, 279, 10780, 51143, 13, 578, 35977, 43806, 527, 66805, 43314, 369, 279, 55908, 323, 3842, 68502, 1216, 369, 279, 51143, 627, 11180, 400, 1399, 304, 12308, 41217, 66290, 2360, 56875, 18413, 9369, 5810, 198, 791, 8736, 1584, 369, 420, 45937, 706, 36239, 520, 489, 6393, 323, 10780, 520, 482, 8848, 13, 578, 55908, 617, 264, 220, 2397, 12, 1135, 12, 19, 927, 14, 8154, 3335, 323, 264, 220, 2946, 12, 1399, 12, 15, 1629, 1584, 1906, 13, 578, 51143, 527, 220, 2491, 12, 2614, 12, 15, 2403, 279, 1629, 1584, 323, 617, 264, 220, 4370, 12, 3226, 12, 21, 927, 14, 8154, 3335, 627, 2257, 13429, 36239, 55908, 85085, 50730, 198, 791, 36239, 55908, 527, 220, 2397, 12, 1135, 12, 19, 2403, 279, 927, 14, 8154, 198, 791, 36239, 55908, 527, 220, 2946, 12, 1399, 12, 15, 2403, 279, 1629, 1584, 198, 53380, 10780, 51143, 85085, 50730, 198, 791, 10780, 51143, 527, 220, 4370, 12, 3226, 12, 21, 2403, 279, 927, 14, 8154, 198, 791, 10780, 51143, 527, 220, 2491, 12, 2614, 12, 15, 2403, 279, 1629, 1584, 198, 1622, 36239, 55908, 763, 90927, 198, 2318, 14, 868, 14, 1114, 356, 81092, 36684, 269, 16833, 15819, 220, 605, 11477, 34075, 320, 2318, 14, 868, 340, 2318, 14, 1032, 14, 1114, 393, 19816, 3320, 560, 17072, 220, 605, 11477, 34075, 320, 2318, 14, 1032, 340, 2318, 14, 605, 14, 1114, 393, 44172, 278, 424, 998, 13789, 6374, 4072, 15802, 220, 605, 11477, 34075, 320, 2318, 14, 2589, 340, 2318, 14, 2437, 14, 1114, 58236, 10016, 54772, 78562, 80872, 220, 605, 11477, 34075, 320, 2589, 14, 2148, 8, 10780, 51143, 763, 90927, 198, 2318, 14, 975, 14, 1114, 220, 17, 33, 7505, 1901, 677, 2889, 44055, 83829, 7742, 6296, 13, 36239, 55908, 55908, 617, 264, 220, 2491, 12, 2031, 8244, 3335, 420, 3280, 13, 28757, 42070, 66805, 43314, 706, 264, 220, 19, 12, 21, 3335, 449, 459, 15662, 1629, 5578, 315, 220, 23, 13, 2148, 323, 264, 8662, 3378, 315, 220, 17, 13, 2371, 13, 1283, 706, 220, 2148, 90026, 927, 813, 220, 2618, 13, 17, 36100, 50098, 323, 568, 596, 2728, 709, 220, 5332, 13280, 13, 1283, 6276, 220, 1032, 13, 21, 13280, 824, 220, 24, 36100, 323, 568, 706, 264, 435, 3378, 315, 220, 20, 13, 5833, 13, 578, 82755, 706, 459, 15662, 1629, 5578, 315, 220, 19, 13, 843, 323, 814, 617, 2728, 709, 220, 12819, 2385, 13280, 389, 279, 1060, 13, 40713, 527, 20129, 662, 14815, 2403, 279, 82755, 323, 814, 3077, 17948, 704, 220, 21675, 81133, 323, 15203, 220, 5926, 293, 10385, 13, 1666, 264, 2128, 11, 36239, 6276, 220, 24, 13, 18, 13280, 824, 11888, 36100, 1418, 21933, 704, 220, 23, 13, 16, 293, 10385, 824, 11888, 36100, 13, 2435, 527, 220, 966, 339, 304, 279, 10966, 304, 2128, 15662, 1629, 5578, 520, 220, 20, 13, 843, 13, 578, 55908, 61650, 45925, 617, 2728, 709, 220, 16, 11, 27311, 2385, 13280, 323, 220, 22801, 15662, 8640, 13, 2435, 617, 5535, 220, 3753, 2162, 8640, 420, 3280, 11, 23862, 1124, 220, 16, 267, 304, 279, 10966, 13, 36239, 439, 264, 47541, 5687, 706, 15203, 220, 10617, 293, 10385, 323, 17948, 704, 220, 25741, 13, 2435, 617, 15203, 220, 18, 13, 23, 3026, 824, 220, 24, 36100, 1418, 21933, 704, 220, 23, 13, 16, 824, 220, 24, 13, 2435, 617, 264, 2128, 8662, 3378, 315, 220, 16, 13, 2790, 323, 872, 435, 3378, 439, 264, 5089, 374, 220, 20, 13, 1691, 627, 39, 15154, 25647, 198, 2170, 264, 2128, 36239, 374, 20129, 662, 12375, 11, 1695, 369, 220, 972, 339, 304, 279, 10966, 13, 578, 55908, 3412, 264, 662, 20596, 2128, 1776, 36368, 11668, 323, 459, 389, 31113, 11668, 315, 662, 16884, 11, 902, 374, 1695, 369, 220, 975, 339, 304, 20075, 13, 2435, 7222, 220, 1114, 339, 304, 41217, 449, 220, 23, 13, 22, 13280, 824, 1847, 13, 55835, 650, 36726, 374, 20129, 662, 16718, 449, 459, 389, 31113, 11668, 315, 662, 20800, 13, 1283, 706, 220, 9263, 13280, 420, 3280, 304, 220, 19288, 520, 43308, 449, 220, 6069, 8640, 293, 12400, 304, 13, 1283, 706, 264, 1776, 36368, 11668, 315, 662, 21006, 323, 459, 83955, 10, 315, 220, 8258, 13, 15387, 423, 12328, 543, 374, 20129, 662, 11387, 420, 1060, 323, 568, 706, 459, 389, 31113, 11668, 315, 662, 15231, 13, 1283, 706, 89518, 220, 8027, 13280, 323, 568, 706, 16625, 304, 220, 5932, 3026, 304, 220, 20385, 520, 43308, 13, 5414, 83955, 10, 374, 220, 7261, 1418, 813, 1776, 36368, 11668, 374, 520, 662, 18415, 13, 578, 55908, 617, 220, 16, 11, 21040, 13280, 11, 2737, 220, 10750, 40396, 323, 220, 8953, 2162, 8640, 13, 36239, 706, 15203, 220, 18058, 3115, 779, 3117, 420, 3280, 323, 814, 617, 17948, 704, 220, 27341, 3115, 439, 264, 5089, 13, 2435, 617, 2163, 220, 25496, 3026, 389, 2385, 323, 617, 264, 2128, 83955, 315, 662, 23275, 13, 2435, 5573, 220, 19, 13, 2614, 8640, 824, 14130, 323, 617, 16957, 264, 2860, 315, 220, 23906, 8640, 420, 1060, 627, 10464, 1285, 46676, 287, 25647, 198, 47275, 706, 264, 220, 5538, 12, 2131, 8244, 1906, 420, 1060, 13, 3161, 459, 15662, 1629, 5578, 315, 220, 19, 13, 6086, 11, 3842, 68502, 1216, 706, 264, 220, 605, 12, 24, 3335, 323, 264, 220, 16, 13, 1644, 8662, 3378, 13, 1283, 706, 220, 7743, 90026, 927, 279, 220, 6549, 36100, 568, 596, 50098, 13, 1283, 596, 1101, 2728, 709, 220, 9390, 13280, 13, 1283, 6276, 220, 24, 13, 16, 13280, 824, 11888, 36100, 323, 813, 435, 3378, 13656, 520, 220, 20, 13, 5495, 13, 578, 82755, 706, 459, 15662, 1629, 5578, 315, 220, 18, 13, 1135, 323, 814, 617, 2728, 709, 220, 16104, 2385, 13280, 389, 279, 1060, 13, 40713, 527, 20129, 662, 11702, 2403, 279, 51143, 82755, 13, 11205, 59644, 3078, 617, 17948, 704, 220, 21299, 293, 10385, 323, 15203, 220, 9741, 31322, 81133, 13, 1666, 264, 2128, 11, 10780, 6276, 220, 23, 13280, 824, 11888, 36100, 1418, 21933, 704, 220, 23, 13, 23, 293, 10385, 824, 11888, 36100, 13, 2435, 527, 220, 22, 339, 304, 279, 10966, 304, 2128, 15662, 1629, 5578, 520, 220, 18, 13, 3534, 13, 578, 51143, 61650, 439, 264, 2128, 617, 71044, 220, 23890, 2385, 85769, 323, 220, 16551, 15662, 8640, 420, 3280, 13, 2435, 617, 2728, 709, 220, 10239, 2162, 8640, 420, 1060, 11, 902, 21467, 220, 777, 339, 304, 17559, 9130, 38258, 13, 10780, 439, 264, 5687, 706, 15203, 220, 17264, 81133, 323, 17948, 704, 220, 16, 11, 19592, 293, 10385, 13, 2435, 3041, 709, 264, 4321, 220, 18, 13, 20, 3115, 824, 220, 24, 36100, 1418, 814, 13471, 704, 220, 23, 13, 23, 824, 220, 24, 13, 11205, 2128, 8662, 3378, 374, 220, 16, 13, 1544, 1418, 872, 435, 3378, 439, 264, 5687, 374, 220, 19, 13, 914, 627, 39, 15154, 25647, 198, 2170, 264, 2128, 11, 814, 527, 51910, 662, 14735, 11, 1695, 369, 220, 1691, 267, 304, 279, 10966, 13, 578, 51143, 3412, 264, 662, 21299, 2128, 1776, 36368, 11668, 323, 459, 389, 31113, 11668, 315, 662, 16707, 11, 902, 374, 1695, 369, 220, 24, 339, 304, 20075, 13, 2435, 7222, 220, 1419, 6634, 304, 41217, 449, 220, 23, 13, 19, 13280, 824, 14130, 13, 71309, 426, 6043, 89, 4131, 1139, 420, 45937, 51910, 662, 15741, 449, 459, 507, 27187, 315, 662, 13384, 13, 1283, 706, 220, 1954, 13280, 420, 1060, 3235, 449, 220, 4370, 54041, 304, 220, 16707, 14469, 596, 13, 1283, 33095, 264, 1776, 36368, 11668, 315, 662, 21962, 449, 459, 83955, 10, 315, 220, 7699, 13, 21353, 432, 61306, 374, 20129, 662, 14274, 420, 3280, 323, 568, 706, 459, 507, 27187, 315, 662, 12910, 13, 1283, 706, 14890, 220, 5037, 13280, 304, 220, 18517, 520, 43308, 1418, 10043, 304, 220, 4767, 8640, 13, 1283, 706, 459, 83955, 10, 315, 220, 5894, 323, 264, 1776, 36368, 11668, 315, 662, 17786, 13, 578, 51143, 439, 264, 5089, 617, 220, 22207, 2385, 13280, 11, 2737, 220, 6280, 40396, 323, 220, 8953, 98698, 13, 10780, 706, 15203, 220, 21299, 3115, 420, 1060, 323, 814, 617, 17948, 704, 389, 220, 22897, 25975, 13, 2435, 617, 1047, 220, 22091, 3026, 2163, 389, 2385, 323, 617, 459, 83955, 315, 662, 23275, 13, 2435, 617, 16957, 220, 19, 13, 23, 8640, 824, 1847, 323, 89518, 220, 19242, 8640, 420, 3280, 627, 15546, 690, 3243, 18396, 596, 55908, 11547, 16115, 41217, 1847, 2403, 279, 9041, 5380, 58834, 596, 20305, 25, 12040, 279, 51143, 220, 128001, -100, 9642, 11, 369, 3187, 304, 25361, 279, 70003, 1358, 374, 11798, 439, 264, 83210, 477, 2472, 13, 763, 1674, 11, 1070, 374, 4762, 264, 83210, 8292, 304, 279, 12914, 482, 719, 358, 9167, 956, 1511, 1674, 369, 1667, 779, 358, 1541, 956, 1440, 1148, 433, 596, 2663, 13, 763, 662, 4816, 369, 3187, 433, 596, 2663, 264, 10685, 779, 433, 2643, 539, 387, 2663, 83210, 304, 1674, 627, 2746, 1855, 4124, 5666, 368, 706, 311, 387, 2663, 389, 1475, 1847, 1735, 11, 1070, 374, 912, 1648, 2212, 3604, 8260, 433, 13, 358, 2846, 539, 2771, 1148, 499, 3152, 449, 330, 2827, 80837, 26991, 5196, 3343, 12361, 315, 264, 83210, 477, 5217, 311, 433, 11, 499, 649, 617, 264, 20406, 5021, 6070, 1405, 499, 2231, 701, 6302, 304, 422, 499, 1390, 13, 358, 1781, 22462, 1587, 420, 13, 4452, 11, 499, 4762, 1390, 264, 83210, 1828, 311, 433, 439, 1664, 779, 499, 649, 636, 459, 1665, 2728, 1202, 5016, 13193, 627, 5730, 66, 3443, 410, 9550, 8876, 220, 1591, 13806, 220, 679, 15, 198, 53663, 8155, 10106, 4448, 220, 966, 220, 679, 18, 220, 2437, 25, 1682, 5975, 198, 34868, 31027, 198, 12, 5856, 17384, 198, 12, 10106, 15781, 220, 1114, 198, 12, 12609, 25987, 220, 16, 11, 20502, 198, 12, 72989, 26496, 220, 15, 198, 12, 12308, 11106, 12308, 198, 12, 13381, 13381, 22435, 198, 12, 37340, 37340, 22435, 198, 12, 29317, 198, 2688, 350, 6427, 198, 9263, 21579, 128001, -100, 51, 72518, 18452, 347, 347, 408, 26692, 37102, 1636, 2057, 35106, 95937, 9119, 31974, 198, 51, 72518, 25447, 7487, 617, 1027, 33850, 5789, 315, 22408, 347, 347, 408, 2298, 520, 279, 10411, 315, 279, 13218, 11, 2212, 480, 21495, 645, 393, 2419, 11, 311, 5471, 264, 33318, 5021, 8624, 505, 4737, 2515, 627, 50, 39095, 18787, 16290, 574, 11352, 304, 279, 549, 815, 304, 220, 2550, 20, 323, 706, 9041, 311, 13527, 323, 11519, 89461, 71, 4214, 11, 87805, 315, 279, 65555, 43143, 11, 2795, 279, 8624, 13452, 311, 1005, 22408, 347, 347, 408, 2298, 439, 264, 3552, 627, 791, 8624, 706, 279, 1890, 33318, 22223, 389, 38971, 12690, 430, 24113, 65329, 31974, 1047, 389, 4072, 1026, 389, 279, 51115, 11, 449, 279, 1853, 11968, 17843, 993, 4692, 11953, 555, 10160, 323, 11422, 13284, 627, 791, 13218, 706, 3544, 36658, 315, 22408, 347, 347, 408, 26692, 323, 11519, 2795, 1521, 527, 1694, 23803, 439, 264, 72147, 627, 35541, 2795, 279, 13218, 706, 1027, 10273, 15870, 323, 1070, 374, 912, 1879, 315, 279, 8624, 1618, 779, 3117, 13, 128001, -100, 2028, 2571, 1445, 315, 279, 117214, 1030, 34549, 21995, 4783, 12678, 374, 304, 16044, 315, 18587, 435, 33712, 13, 20817, 1022, 315, 2380, 315, 279, 4632, 596, 1455, 33596, 5885, 11, 2563, 1564, 11, 423, 56012, 11, 323, 315, 3388, 11, 18206, 25225, 69, 1543, 362, 27542, 3061, 94006, 11, 1521, 34549, 12678, 95263, 1063, 315, 279, 1890, 704, 1974, 819, 323, 927, 279, 1948, 1742, 315, 279, 28812, 4632, 13, 46327, 13489, 11888, 15271, 16615, 11, 279, 6666, 311, 7872, 374, 7858, 389, 11, 3515, 459, 30883, 93874, 311, 279, 20142, 1418, 40880, 682, 279, 1167, 3852, 4907, 430, 279, 10868, 5812, 315, 26002, 4783, 15609, 13, 2435, 8854, 439, 279, 4832, 27626, 311, 2567, 430, 21995, 4783, 9090, 13989, 1418, 31526, 7238, 6354, 51956, 26709, 367, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130 ]
[ 128000, 12, 3639, 527, 279, 1403, 4595, 315, 3634, 304, 1989, 5380, 12, 3639, 374, 264, 220, 17, 56987, 1989, 5380, 12, 3639, 374, 3634, 304, 13633, 5380, 12, 3639, 1587, 3634, 656, 304, 1989, 5380, 12, 3639, 374, 6928, 3634, 5380, 12, 8595, 374, 433, 2663, 3634, 5380, 12, 3639, 11705, 3634, 5380, 12, 3639, 527, 4595, 315, 3634, 5380, 12, 3639, 2380, 2574, 1304, 709, 3634, 304, 1989, 28223, 1169, 5380, 12, 3639, 527, 279, 17910, 315, 220, 17, 56987, 1989, 5380, 12, 3639, 374, 279, 6811, 1990, 220, 17, 56987, 323, 220, 18, 56987, 1989, 5380, 12, 3639, 527, 279, 2380, 2204, 4595, 315, 3634, 5380, 12, 16299, 527, 4595, 315, 3634, 1989, 28223, 1169, 5380, 12, 3639, 527, 279, 2380, 1925, 14491, 315, 3634, 304, 1989, 5380, 12, 3639, 527, 279, 3116, 29079, 5540, 5380, 12, 3639, 374, 4443, 3634, 5380, 12, 3053, 3634, 387, 3549, 5380, 12, 3234, 220, 17, 56987, 6302, 3073, 5380, 3923, 527, 279, 1403, 4595, 315, 3634, 304, 1989, 5380, 791, 3634, 315, 459, 29409, 5764, 279, 4092, 11, 40405, 11, 323, 6278, 5015, 1174, 439, 1664, 439, 279, 6138, 1990, 11, 2212, 11, 323, 2949, 2574, 627, 3947, 527, 1403, 4595, 315, 3634, 25, 6928, 3634, 323, 8389, 3634, 35047, 3923, 374, 264, 220, 17, 56987, 1989, 5380, 11874, 33520, 1989, 17610, 315, 36692, 11, 38940, 11, 24370, 11, 323, 25232, 11, 902, 1782, 505, 1855, 1023, 15871, 304, 279, 15105, 315, 872, 11572, 627, 3923, 374, 3634, 304, 13633, 5380, 10115, 374, 832, 315, 279, 6913, 5540, 315, 1989, 13, 1102, 19813, 311, 279, 6138, 1990, 477, 279, 3158, 2212, 323, 2949, 21483, 11, 7739, 11, 8146, 323, 5238, 13, 11746, 649, 387, 6928, 477, 8389, 13, 1102, 5764, 279, 4092, 11, 40405, 323, 6278, 5015, 13, 4696, 50809, 3062, 43775, 922, 279, 7438, 315, 459, 1989, 6710, 627, 3923, 1587, 3634, 656, 304, 1989, 5380, 10115, 304, 264, 990, 315, 1989, 19813, 311, 264, 8430, 315, 8149, 477, 2380, 15696, 13, 1102, 649, 1101, 8464, 311, 279, 10255, 753, 1005, 315, 279, 3158, 2949, 279, 6945, 11277, 13, 578, 3158, 2212, 279, 6156, 6302, 304, 264, 990, 315, 1989, 374, 3967, 439, 8389, 3634, 11, 1418, 279, 3634, 25366, 555, 279, 6156, 6302, 374, 3967, 439, 6928, 3634, 627, 3923, 374, 6928, 3634, 5380, 36590, 3634, 19813, 311, 279, 3917, 477, 5789, 315, 2802, 304, 459, 29409, 11, 1778, 439, 264, 1732, 753, 3663, 477, 7216, 304, 264, 34133, 11, 279, 6302, 304, 264, 2103, 2324, 19354, 11, 477, 279, 12690, 304, 264, 18921, 19354, 13, 4696, 45152, 323, 4358, 6928, 323, 8389, 3634, 449, 701, 4236, 627, 10445, 374, 433, 2663, 3634, 5380, 791, 6498, 3492, 3634, 99970, 505, 20023, 3492, 369, 506, 95519, 1389, 63983, 2411, 320, 19171, 5439, 100108, 2411, 304, 78248, 20023, 705, 323, 3010, 8753, 3492, 1560, 1330, 1174, 1555, 279, 1005, 315, 902, 6498, 11678, 3634, 574, 14454, 13, 5046, 9097, 79, 90868, 4732, 11, 1077, 41463, 323, 3177, 26, 15535, 11, 311, 7664, 6832, 2064, 333, 1546, 434, 1396, 14865, 627, 3923, 11705, 3634, 5380, 44680, 220, 1032, 13, 23, 7239, 1667, 4227, 11, 682, 279, 5030, 304, 279, 29849, 22763, 505, 264, 3254, 11, 9568, 1486, 11, 477, 7936, 30079, 11, 304, 264, 16806, 21165, 13, 1115, 17626, 520, 459, 50013, 398, 1579, 4478, 323, 9499, 11, 60115, 304, 1404, 1475, 220, 605, 12, 1958, 6622, 11, 6968, 3634, 439, 433, 19019, 70954, 627, 3923, 527, 4595, 315, 3634, 5380, 3833, 1113, 279, 1972, 323, 279, 4200, 1389, 220, 18, 4595, 315, 100108, 44353, 3634, 1389, 5150, 6302, 304, 5150, 7106, 3634, 17777, 40412, 3634, 1389, 279, 13340, 315, 430, 3634, 304, 279, 6500, 323, 279, 13340, 315, 10687, 315, 6302, 505, 12271, 828, 5099, 93868, 3673, 90578, 3923, 2380, 2574, 1304, 709, 3634, 304, 1989, 28223, 1169, 5380, 9470, 1705, 1893, 3634, 304, 872, 62644, 555, 1701, 21261, 315, 1933, 11, 8205, 304, 279, 1404, 315, 6302, 304, 279, 18528, 11, 2361, 315, 6302, 304, 279, 18528, 11, 72834, 11, 50917, 11, 323, 13356, 627, 3923, 527, 279, 17910, 315, 220, 17, 56987, 1989, 5380, 4599, 264, 990, 315, 1989, 374, 21771, 439, 1694, 220, 17, 33520, 11, 433, 3445, 430, 279, 18528, 50326, 279, 15696, 315, 3160, 323, 2430, 719, 1587, 539, 15575, 8149, 13, 2052, 220, 17, 33520, 9863, 315, 1989, 11, 1778, 439, 38940, 11, 36692, 11, 323, 24370, 11, 527, 1903, 709, 315, 21483, 627, 3923, 374, 279, 6811, 1990, 220, 17, 56987, 323, 220, 18, 56987, 1989, 5380, 17, 33520, 1989, 5764, 1193, 279, 3160, 323, 2430, 315, 264, 10269, 1665, 1778, 439, 264, 13633, 11, 1194, 11, 477, 19354, 13, 220, 18, 33520, 1989, 5764, 279, 3160, 11, 2430, 11, 323, 8149, 315, 459, 1665, 1778, 439, 264, 6070, 11, 4857, 11, 477, 51067, 627, 3923, 527, 279, 2380, 2204, 4595, 315, 3634, 5380, 35, 953, 1880, 453, 13, 220, 10765, 2380, 955, 315, 12908, 304, 264, 9709, 8903, 1887, 25, 279, 7106, 3634, 11, 39825, 8844, 311, 7106, 323, 4200, 3634, 320, 1820, 1054, 82, 30040, 3634, 56955, 323, 279, 4200, 3634, 627, 23956, 527, 4595, 315, 3634, 1989, 28223, 1169, 5380, 44228, 304, 420, 743, 320, 20, 8, 36590, 13, 34459, 51067, 477, 4857, 2112, 15410, 13, 11746, 2212, 279, 51067, 477, 4857, 1087, 3911, 11277, 13, 24492, 7479, 315, 701, 13633, 5684, 477, 10247, 3034, 3571, 13, 2209, 279, 7471, 323, 22165, 315, 279, 5540, 389, 701, 6945, 11277, 1006, 3768, 1486, 13, 3075, 477, 3158, 430, 499, 1390, 279, 26792, 311, 1427, 520, 1176, 627, 3923, 527, 279, 2380, 1925, 14491, 315, 3634, 304, 1989, 5380, 3947, 527, 2380, 1925, 14491, 315, 3634, 304, 1989, 25, 279, 40405, 11, 279, 6278, 5015, 323, 279, 4092, 627, 3923, 527, 279, 3116, 29079, 5540, 5380, 16, 13, 19, 13, 578, 7396, 29079, 2449, 4595, 527, 3585, 11, 1584, 9246, 11, 323, 69259, 13, 1789, 3187, 11, 5540, 2643, 1646, 6917, 738, 616, 811, 320, 2837, 28066, 705, 19795, 320, 1074, 9246, 705, 323, 14189, 23546, 320, 34535, 44974, 570, 9062, 16580, 304, 459, 2449, 374, 9967, 439, 459, 1630, 30533, 6857, 627, 3923, 374, 4443, 3634, 5380, 25, 279, 6138, 505, 2500, 1732, 520, 902, 832, 11321, 10882, 994, 7556, 311, 477, 1694, 1828, 311, 430, 1023, 1732, 1472, 527, 83631, 856, 4443, 3634, 627, 6854, 3634, 387, 3549, 5380, 2822, 13, 1628, 6463, 374, 4907, 13, 12634, 374, 279, 832, 3245, 584, 649, 14188, 1893, 6463, 7066, 11, 323, 433, 5084, 311, 387, 96752, 5552, 311, 1148, 3634, 374, 13, 2030, 38330, 279, 8631, 68302, 1587, 636, 11493, 439, 279, 7410, 26338, 11, 779, 433, 753, 13579, 311, 2019, 3634, 374, 1054, 7266, 113068, 5519, 220, 17, 56987, 6302, 3073, 5380, 2181, 4536, 1431, 3284, 311, 617, 264, 9615, 220, 17, 35, 1665, 304, 1057, 3634, 7394, 1389, 279, 4907, 2631, 311, 1304, 433, 3073, 1053, 711, 533, 78, 18678, 433, 1139, 264, 3776, 14512, 13, 3011, 1071, 11, 3776, 14512, 1567, 4917, 64947, 1253, 387, 220, 17, 35, 14726, 1389, 3582, 279, 2144, 814, 527, 20037, 2212, 264, 26436, 5640, 30969, 1253, 5353, 430, 311, 387, 55026, 13, 128001, 128000, 32, 442, 54397, 374, 264, 20955, 449, 264, 36301, 55279, 323, 11113, 12945, 11, 5108, 505, 279, 1888, 10989, 3074, 10095, 5633, 13, 362, 20955, 369, 264, 1633, 26192, 6130, 13, 1115, 20955, 374, 8104, 32599, 369, 1884, 889, 15763, 264, 1633, 82688, 323, 58172, 52221, 11033, 11, 682, 1938, 1317, 13, 13690, 24066, 304, 29302, 31406, 36755, 56227, 46643, 13, 128001 ]
[ -100, 12, 3639, 527, 279, 1403, 4595, 315, 3634, 304, 1989, 5380, 12, 3639, 374, 264, 220, 17, 56987, 1989, 5380, 12, 3639, 374, 3634, 304, 13633, 5380, 12, 3639, 1587, 3634, 656, 304, 1989, 5380, 12, 3639, 374, 6928, 3634, 5380, 12, 8595, 374, 433, 2663, 3634, 5380, 12, 3639, 11705, 3634, 5380, 12, 3639, 527, 4595, 315, 3634, 5380, 12, 3639, 2380, 2574, 1304, 709, 3634, 304, 1989, 28223, 1169, 5380, 12, 3639, 527, 279, 17910, 315, 220, 17, 56987, 1989, 5380, 12, 3639, 374, 279, 6811, 1990, 220, 17, 56987, 323, 220, 18, 56987, 1989, 5380, 12, 3639, 527, 279, 2380, 2204, 4595, 315, 3634, 5380, 12, 16299, 527, 4595, 315, 3634, 1989, 28223, 1169, 5380, 12, 3639, 527, 279, 2380, 1925, 14491, 315, 3634, 304, 1989, 5380, 12, 3639, 527, 279, 3116, 29079, 5540, 5380, 12, 3639, 374, 4443, 3634, 5380, 12, 3053, 3634, 387, 3549, 5380, 12, 3234, 220, 17, 56987, 6302, 3073, 5380, 3923, 527, 279, 1403, 4595, 315, 3634, 304, 1989, 5380, 791, 3634, 315, 459, 29409, 5764, 279, 4092, 11, 40405, 11, 323, 6278, 5015, 1174, 439, 1664, 439, 279, 6138, 1990, 11, 2212, 11, 323, 2949, 2574, 627, 3947, 527, 1403, 4595, 315, 3634, 25, 6928, 3634, 323, 8389, 3634, 35047, 3923, 374, 264, 220, 17, 56987, 1989, 5380, 11874, 33520, 1989, 17610, 315, 36692, 11, 38940, 11, 24370, 11, 323, 25232, 11, 902, 1782, 505, 1855, 1023, 15871, 304, 279, 15105, 315, 872, 11572, 627, 3923, 374, 3634, 304, 13633, 5380, 10115, 374, 832, 315, 279, 6913, 5540, 315, 1989, 13, 1102, 19813, 311, 279, 6138, 1990, 477, 279, 3158, 2212, 323, 2949, 21483, 11, 7739, 11, 8146, 323, 5238, 13, 11746, 649, 387, 6928, 477, 8389, 13, 1102, 5764, 279, 4092, 11, 40405, 323, 6278, 5015, 13, 4696, 50809, 3062, 43775, 922, 279, 7438, 315, 459, 1989, 6710, 627, 3923, 1587, 3634, 656, 304, 1989, 5380, 10115, 304, 264, 990, 315, 1989, 19813, 311, 264, 8430, 315, 8149, 477, 2380, 15696, 13, 1102, 649, 1101, 8464, 311, 279, 10255, 753, 1005, 315, 279, 3158, 2949, 279, 6945, 11277, 13, 578, 3158, 2212, 279, 6156, 6302, 304, 264, 990, 315, 1989, 374, 3967, 439, 8389, 3634, 11, 1418, 279, 3634, 25366, 555, 279, 6156, 6302, 374, 3967, 439, 6928, 3634, 627, 3923, 374, 6928, 3634, 5380, 36590, 3634, 19813, 311, 279, 3917, 477, 5789, 315, 2802, 304, 459, 29409, 11, 1778, 439, 264, 1732, 753, 3663, 477, 7216, 304, 264, 34133, 11, 279, 6302, 304, 264, 2103, 2324, 19354, 11, 477, 279, 12690, 304, 264, 18921, 19354, 13, 4696, 45152, 323, 4358, 6928, 323, 8389, 3634, 449, 701, 4236, 627, 10445, 374, 433, 2663, 3634, 5380, 791, 6498, 3492, 3634, 99970, 505, 20023, 3492, 369, 506, 95519, 1389, 63983, 2411, 320, 19171, 5439, 100108, 2411, 304, 78248, 20023, 705, 323, 3010, 8753, 3492, 1560, 1330, 1174, 1555, 279, 1005, 315, 902, 6498, 11678, 3634, 574, 14454, 13, 5046, 9097, 79, 90868, 4732, 11, 1077, 41463, 323, 3177, 26, 15535, 11, 311, 7664, 6832, 2064, 333, 1546, 434, 1396, 14865, 627, 3923, 11705, 3634, 5380, 44680, 220, 1032, 13, 23, 7239, 1667, 4227, 11, 682, 279, 5030, 304, 279, 29849, 22763, 505, 264, 3254, 11, 9568, 1486, 11, 477, 7936, 30079, 11, 304, 264, 16806, 21165, 13, 1115, 17626, 520, 459, 50013, 398, 1579, 4478, 323, 9499, 11, 60115, 304, 1404, 1475, 220, 605, 12, 1958, 6622, 11, 6968, 3634, 439, 433, 19019, 70954, 627, 3923, 527, 4595, 315, 3634, 5380, 3833, 1113, 279, 1972, 323, 279, 4200, 1389, 220, 18, 4595, 315, 100108, 44353, 3634, 1389, 5150, 6302, 304, 5150, 7106, 3634, 17777, 40412, 3634, 1389, 279, 13340, 315, 430, 3634, 304, 279, 6500, 323, 279, 13340, 315, 10687, 315, 6302, 505, 12271, 828, 5099, 93868, 3673, 90578, 3923, 2380, 2574, 1304, 709, 3634, 304, 1989, 28223, 1169, 5380, 9470, 1705, 1893, 3634, 304, 872, 62644, 555, 1701, 21261, 315, 1933, 11, 8205, 304, 279, 1404, 315, 6302, 304, 279, 18528, 11, 2361, 315, 6302, 304, 279, 18528, 11, 72834, 11, 50917, 11, 323, 13356, 627, 3923, 527, 279, 17910, 315, 220, 17, 56987, 1989, 5380, 4599, 264, 990, 315, 1989, 374, 21771, 439, 1694, 220, 17, 33520, 11, 433, 3445, 430, 279, 18528, 50326, 279, 15696, 315, 3160, 323, 2430, 719, 1587, 539, 15575, 8149, 13, 2052, 220, 17, 33520, 9863, 315, 1989, 11, 1778, 439, 38940, 11, 36692, 11, 323, 24370, 11, 527, 1903, 709, 315, 21483, 627, 3923, 374, 279, 6811, 1990, 220, 17, 56987, 323, 220, 18, 56987, 1989, 5380, 17, 33520, 1989, 5764, 1193, 279, 3160, 323, 2430, 315, 264, 10269, 1665, 1778, 439, 264, 13633, 11, 1194, 11, 477, 19354, 13, 220, 18, 33520, 1989, 5764, 279, 3160, 11, 2430, 11, 323, 8149, 315, 459, 1665, 1778, 439, 264, 6070, 11, 4857, 11, 477, 51067, 627, 3923, 527, 279, 2380, 2204, 4595, 315, 3634, 5380, 35, 953, 1880, 453, 13, 220, 10765, 2380, 955, 315, 12908, 304, 264, 9709, 8903, 1887, 25, 279, 7106, 3634, 11, 39825, 8844, 311, 7106, 323, 4200, 3634, 320, 1820, 1054, 82, 30040, 3634, 56955, 323, 279, 4200, 3634, 627, 23956, 527, 4595, 315, 3634, 1989, 28223, 1169, 5380, 44228, 304, 420, 743, 320, 20, 8, 36590, 13, 34459, 51067, 477, 4857, 2112, 15410, 13, 11746, 2212, 279, 51067, 477, 4857, 1087, 3911, 11277, 13, 24492, 7479, 315, 701, 13633, 5684, 477, 10247, 3034, 3571, 13, 2209, 279, 7471, 323, 22165, 315, 279, 5540, 389, 701, 6945, 11277, 1006, 3768, 1486, 13, 3075, 477, 3158, 430, 499, 1390, 279, 26792, 311, 1427, 520, 1176, 627, 3923, 527, 279, 2380, 1925, 14491, 315, 3634, 304, 1989, 5380, 3947, 527, 2380, 1925, 14491, 315, 3634, 304, 1989, 25, 279, 40405, 11, 279, 6278, 5015, 323, 279, 4092, 627, 3923, 527, 279, 3116, 29079, 5540, 5380, 16, 13, 19, 13, 578, 7396, 29079, 2449, 4595, 527, 3585, 11, 1584, 9246, 11, 323, 69259, 13, 1789, 3187, 11, 5540, 2643, 1646, 6917, 738, 616, 811, 320, 2837, 28066, 705, 19795, 320, 1074, 9246, 705, 323, 14189, 23546, 320, 34535, 44974, 570, 9062, 16580, 304, 459, 2449, 374, 9967, 439, 459, 1630, 30533, 6857, 627, 3923, 374, 4443, 3634, 5380, 25, 279, 6138, 505, 2500, 1732, 520, 902, 832, 11321, 10882, 994, 7556, 311, 477, 1694, 1828, 311, 430, 1023, 1732, 1472, 527, 83631, 856, 4443, 3634, 627, 6854, 3634, 387, 3549, 5380, 2822, 13, 1628, 6463, 374, 4907, 13, 12634, 374, 279, 832, 3245, 584, 649, 14188, 1893, 6463, 7066, 11, 323, 433, 5084, 311, 387, 96752, 5552, 311, 1148, 3634, 374, 13, 2030, 38330, 279, 8631, 68302, 1587, 636, 11493, 439, 279, 7410, 26338, 11, 779, 433, 753, 13579, 311, 2019, 3634, 374, 1054, 7266, 113068, 5519, 220, 17, 56987, 6302, 3073, 5380, 2181, 4536, 1431, 3284, 311, 617, 264, 9615, 220, 17, 35, 1665, 304, 1057, 3634, 7394, 1389, 279, 4907, 2631, 311, 1304, 433, 3073, 1053, 711, 533, 78, 18678, 433, 1139, 264, 3776, 14512, 13, 3011, 1071, 11, 3776, 14512, 1567, 4917, 64947, 1253, 387, 220, 17, 35, 14726, 1389, 3582, 279, 2144, 814, 527, 20037, 2212, 264, 26436, 5640, 30969, 1253, 5353, 430, 311, 387, 55026, 13, 128001, -100, 32, 442, 54397, 374, 264, 20955, 449, 264, 36301, 55279, 323, 11113, 12945, 11, 5108, 505, 279, 1888, 10989, 3074, 10095, 5633, 13, 362, 20955, 369, 264, 1633, 26192, 6130, 13, 1115, 20955, 374, 8104, 32599, 369, 1884, 889, 15763, 264, 1633, 82688, 323, 58172, 52221, 11033, 11, 682, 1938, 1317, 13, 13690, 24066, 304, 29302, 31406, 36755, 56227, 46643, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62 ]
[ 128000, 817, 1487, 487, 822, 23821, 8144, 11, 70113, 5172, 11, 70113, 6628, 11, 4557, 2499, 817, 1487, 487, 2398, 487, 1858, 280, 817, 1487, 487, 3933, 487, 1738, 401, 9780, 5279, 7068, 1745, 592, 33609, 8793, 82, 2517, 4432, 25, 612, 1858, 11, 1296, 42527, 4432, 25, 612, 1858, 8, 1492, 5832, 69943, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 1095, 7177, 2517, 284, 2958, 487, 3261, 8793, 82, 2517, 4432, 5563, 446, 61268, 33609, 26721, 2830, 38545, 262, 1095, 5318, 7177, 2517, 10855, 284, 70113, 6628, 487, 943, 8793, 82, 2517, 1237, 720, 262, 82047, 10509, 24781, 2517, 10855, 11, 5993, 21362, 14401, 8793, 7400, 59, 77, 909, 70593, 262, 369, 4441, 304, 1296, 42527, 4432, 4217, 4432, 58595, 5428, 5489, 23236, 3826, 9255, 91, 5534, 9255, 18663, 2189, 341, 286, 422, 1095, 4427, 76823, 8, 284, 4441, 3960, 1020, 12709, 368, 341, 310, 422, 1095, 4427, 446, 598, 909, 284, 9070, 2446, 2966, 368, 314, 443, 43, 1435, 1296, 369, 10478, 3576, 548, 43441, 330, 412, 35394, 12723, 90766, 13481, 3453, 1913, 1215, 665, 330, 598, 35394, 12723, 198, 394, 1095, 1296, 1292, 284, 935, 487, 1527, 18739, 3960, 1020, 1213, 1284, 336, 1020, 15818, 1020, 998, 2966, 1020, 15818, 2455, 394, 662, 8319, 66133, 9177, 803, 394, 1095, 704, 2703, 284, 935, 487, 1527, 18739, 3960, 1020, 4291, 32135, 446, 412, 1865, 998, 2966, 1020, 15818, 2455, 394, 662, 8319, 55193, 518, 3605, 3147, 394, 82047, 10509, 24781, 2517, 10855, 11, 36603, 761, 504, 3645, 0, 3668, 58, 1985, 18444, 77, 8998, 4792, 368, 5991, 59, 77, 5061, 2256, 10509, 74, 1617, 285, 4552, 40823, 487, 48391, 7800, 5305, 487, 2398, 487, 1858, 487, 943, 37114, 89063, 15552, 15818, 13732, 59, 77, 3500, 59, 77, 498, 720, 504, 1296, 1292, 11, 720, 504, 704, 2703, 340, 394, 883, 38545, 310, 457, 286, 457, 262, 557, 262, 7777, 51532, 3818, 8998, 9616, 2517, 29938, 4971, 16, 25, 612, 1858, 11, 1052, 17, 25, 612, 1858, 8, 1492, 5832, 17464, 11, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 1095, 1052, 16, 284, 2958, 487, 2569, 4971, 16, 41107, 262, 1095, 1052, 17, 284, 2958, 487, 2569, 4971, 17, 41107, 262, 1095, 5318, 1052, 16, 10855, 284, 70113, 5172, 487, 943, 4971, 16, 1237, 720, 262, 1095, 5318, 1052, 17, 10855, 284, 70113, 5172, 487, 943, 4971, 17, 1237, 4815, 262, 443, 41, 797, 490, 269, 24947, 22171, 451, 67539, 4037, 2058, 2886, 1291, 369, 2479, 713, 87916, 1131, 81871, 41679, 5380, 262, 1095, 5318, 925, 16, 284, 935, 487, 943, 545, 262, 1052, 16, 10855, 4217, 2401, 3991, 2146, 7129, 925, 16, 41107, 262, 1095, 11460, 16, 25, 11564, 53344, 496, 29, 284, 925, 16, 5402, 87275, 1020, 5428, 23236, 1178, 91, 3492, 19970, 368, 871, 220, 15, 570, 17840, 1454, 262, 1095, 5318, 925, 17, 284, 935, 487, 943, 545, 262, 1052, 17, 10855, 4217, 2401, 3991, 2146, 7129, 925, 17, 41107, 262, 1095, 11460, 17, 25, 11564, 53344, 496, 29, 284, 925, 17, 5402, 87275, 1020, 5428, 23236, 1178, 91, 3492, 19970, 368, 871, 220, 15, 570, 17840, 1454, 262, 7777, 35152, 16, 419, 31666, 17, 340, 633, 9780, 5279, 15806, 7800, 10029, 2703, 25, 612, 1858, 8, 1492, 5832, 69943, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 1095, 1296, 1292, 284, 935, 487, 1527, 10029, 2703, 9914, 1284, 336, 1020, 15818, 1020, 998, 2966, 1020, 15818, 1449, 262, 422, 9616, 2517, 29938, 10029, 2703, 11, 612, 412, 2703, 18662, 32135, 446, 598, 2830, 30, 341, 286, 14069, 17667, 6390, 5946, 498, 1296, 1292, 317, 262, 335, 775, 341, 286, 14069, 17667, 6390, 4745, 498, 1296, 1292, 317, 262, 457, 262, 7777, 51532, 633, 9780, 5279, 15806, 36289, 8793, 42527, 4432, 25, 612, 1858, 8, 1492, 5832, 69943, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 369, 4441, 304, 1296, 42527, 4432, 4217, 4432, 58595, 5428, 5489, 23236, 3826, 9255, 91, 5534, 9255, 18663, 2189, 341, 286, 422, 1095, 4427, 76823, 8, 284, 4441, 3960, 1020, 12709, 368, 341, 310, 422, 1095, 4427, 446, 598, 909, 284, 9070, 2446, 2966, 368, 314, 443, 43, 1435, 1296, 369, 10478, 3576, 548, 43441, 330, 412, 35394, 12723, 90766, 13481, 3453, 1913, 1215, 665, 330, 598, 35394, 12723, 198, 394, 1095, 704, 2703, 284, 4441, 3960, 1020, 4291, 32135, 446, 412, 803, 394, 15806, 7800, 2146, 412, 2703, 41107, 310, 457, 286, 457, 262, 457, 262, 7777, 51532, 534, 128001, 128000, 65965, 393, 10880, 6938, 45344, 45004, 13, 12557, 17005, 14881, 315, 30151, 13, 6938, 78243, 13257, 220, 6086, 12, 1490, 12, 2075, 627, 3648, 4356, 11, 7327, 8184, 45004, 13332, 11, 320, 6280, 22, 570, 16591, 23, 3415, 13, 38276, 304, 279, 4113, 17124, 20366, 79194, 13, 30893, 10051, 311, 6000, 1385, 11, 6062, 264, 1633, 6555, 323, 4335, 3048, 13, 220, 5833, 12086, 13, 320, 6881, 258, 220, 18, 25485, 5343, 8, 489, 3544, 48135, 653, 68597, 13861, 627, 18902, 59290, 18991, 315, 279, 15009, 11630, 311, 279, 29022, 220, 2075, 11, 220, 1490, 323, 220, 6086, 6938, 78243, 13257, 5450, 279, 220, 1272, 29646, 323, 220, 1135, 29646, 264, 3682, 892, 35208, 5820, 574, 29373, 315, 2038, 15609, 555, 62018, 7563, 13, 29022, 574, 279, 6522, 14290, 315, 279, 3786, 29373, 5780, 323, 279, 2883, 574, 18538, 555, 61338, 25518, 261, 411, 389, 279, 8197, 315, 813, 220, 7028, 16, 25518, 261, 411, 35081, 41009, 16347, 261, 11829, 1403, 1925, 8670, 315, 279, 6938, 78243, 13257, 1051, 46301, 315, 1493, 5326, 323, 29373, 4732, 13, 11995, 4519, 1051, 31978, 13241, 902, 19543, 304, 264, 1396, 315, 2204, 4360, 315, 279, 15009, 11630, 1210, 791, 2380, 12933, 5995, 311, 2804, 279, 6913, 7677, 2631, 304, 62018, 3786, 24043, 527, 279, 21004, 11, 279, 91552, 11, 323, 279, 24043, 5780, 13, 578, 21004, 64664, 279, 7576, 11, 279, 91552, 2961, 5637, 477, 538, 9803, 1124, 11, 323, 279, 24043, 5780, 19159, 279, 17124, 6821, 1210, 320, 3915, 279, 17219, 311, 279, 3118, 11630, 570, 791, 220, 6280, 22, 21110, 940, 6835, 264, 27387, 20616, 1139, 1268, 264, 7373, 4500, 3786, 29373, 5780, 374, 8040, 323, 1268, 433, 734, 291, 8548, 7767, 220, 25392, 13, 320, 1820, 220, 6280, 17, 90465, 570, 128001, 128000, 605, 10, 578, 92976, 33945, 744, 445, 23121, 36361, 13, 8745, 13072, 37736, 320, 10399, 8, 4232, 13072, 37736, 320, 75, 23121, 570, 578, 41713, 1887, 19813, 311, 279, 4851, 11, 6680, 31080, 323, 279, 6680, 627, 2535, 5596, 389, 279, 13861, 323, 4128, 38057, 311, 1501, 279, 6530, 315, 13, 4718, 6680, 17610, 315, 264, 21655, 315, 82486, 2663, 14454, 5540, 323, 14812, 2663, 13, 2468, 279, 1890, 892, 11, 279, 2547, 61481, 12571, 3956, 1093, 12782, 40589, 11, 1203, 1139, 279, 6680, 627, 791, 4319, 38220, 1887, 11, 1101, 2663, 279, 41713, 1887, 477, 279, 64603, 1887, 11, 374, 459, 2942, 1887, 430, 29790, 6680, 311, 4319, 6468, 323, 7710, 37493, 320, 21470, 439, 42500, 33969, 323, 73396, 2392, 4390, 605, 10, 578, 92976, 33945, 744, 445, 23121, 36361, 13, 15281, 10819, 449, 21416, 89323, 13, 80282, 315, 279, 41713, 1887, 13, 20671, 4319, 24031, 6957, 279, 2547, 304, 6680, 31080, 11, 92785, 555, 279, 53226, 1957, 315, 279, 4851, 13, 3639, 374, 279, 41713, 1887, 30, 128001, 128000, 3915, 12250, 3624, 13356, 11, 279, 2768, 2574, 527, 3062, 6394, 47, 3833, 5861, 2237, 551, 15379, 27156, 339, 1540, 198, 44, 1771, 2237, 551, 21317, 198, 12, 578, 4323, 32277, 2314, 20901, 33212, 706, 19073, 11938, 279, 49609, 4877, 311, 3451, 43, 329, 22506, 15379, 27156, 339, 1540, 529, 627, 12, 1102, 374, 279, 11999, 49609, 4877, 1306, 5186, 87537, 320, 49, 10114, 8674, 13528, 5481, 705, 393, 1003, 76535, 11, 323, 70130, 587, 6151, 12404, 3341, 4504, 304, 70130, 22506, 627, 10714, 15379, 27156, 339, 1540, 198, 12, 15379, 22786, 339, 1540, 374, 264, 6136, 430, 28815, 304, 4606, 323, 13936, 627, 12, 763, 6890, 11, 433, 753, 1766, 304, 279, 76438, 44957, 5654, 11, 5423, 304, 9235, 7634, 1093, 279, 9439, 951, 15916, 315, 70130, 22506, 323, 3165, 12583, 627, 12, 1115, 6136, 19159, 2678, 19087, 477, 14071, 63494, 430, 527, 20897, 719, 2539, 315, 46192, 11, 5423, 28170, 356, 627, 12, 1102, 649, 18167, 2216, 4106, 323, 2216, 9439, 20472, 11, 902, 3727, 433, 4832, 369, 279, 9439, 951, 15916, 627, 12, 7357, 961, 315, 279, 6136, 2345, 36989, 11, 11141, 11, 4483, 14801, 11, 20282, 11, 323, 270, 44129, 83872, 5505, 369, 16088, 11, 3691, 11, 10633, 11, 323, 68527, 627, 12, 1102, 753, 1101, 264, 16595, 3691, 2592, 369, 1690, 20229, 323, 5825, 78216, 3691, 369, 10099, 1093, 33012, 11, 71932, 11, 1541, 10786, 11, 36952, 11, 323, 6730, 2053, 304, 279, 9439, 24521, 13918, 627, 12, 1102, 374, 3629, 2663, 279, 3451, 62372, 18317, 23189, 3451, 43, 329, 22506, 7573, 23189, 3451, 60890, 14409, 23189, 477, 3451, 26509, 31783, 529, 315, 279, 9439, 951, 15916, 627, 3792, 17, 34703, 1233, 25, 49609, 12633, 198, 12, 362, 49609, 374, 264, 1879, 1511, 389, 3956, 430, 617, 264, 3230, 54001, 6371, 323, 15575, 29600, 477, 264, 17444, 430, 527, 4245, 311, 430, 6371, 627, 12, 452, 58697, 16784, 25, 6011, 369, 57204, 315, 24780, 323, 15774, 17657, 320, 35, 1932, 964, 705, 20214, 315, 31480, 323, 24780, 198, 12, 6890, 11, 439, 264, 4562, 315, 279, 4435, 17657, 21021, 320, 54, 5319, 705, 44977, 279, 4323, 32277, 2314, 124085, 315, 42695, 320, 24253, 323, 19721, 8, 3298, 11, 220, 2550, 24, 289, 1770, 840, 13, 6250, 220, 1049, 18, 627, 12, 480, 3957, 617, 1027, 4613, 1234, 13659, 220, 1313, 320, 16, 8, 315, 279, 100233, 23314, 389, 17657, 12, 11948, 1666, 8132, 315, 77956, 8825, 10734, 320, 2434, 27034, 8, 23314, 627, 12, 578, 4877, 13656, 2764, 369, 220, 605, 1667, 13, 128001 ]
[ -100, 817, 1487, 487, 822, 23821, 8144, 11, 70113, 5172, 11, 70113, 6628, 11, 4557, 2499, 817, 1487, 487, 2398, 487, 1858, 280, 817, 1487, 487, 3933, 487, 1738, 401, 9780, 5279, 7068, 1745, 592, 33609, 8793, 82, 2517, 4432, 25, 612, 1858, 11, 1296, 42527, 4432, 25, 612, 1858, 8, 1492, 5832, 69943, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 1095, 7177, 2517, 284, 2958, 487, 3261, 8793, 82, 2517, 4432, 5563, 446, 61268, 33609, 26721, 2830, 38545, 262, 1095, 5318, 7177, 2517, 10855, 284, 70113, 6628, 487, 943, 8793, 82, 2517, 1237, 720, 262, 82047, 10509, 24781, 2517, 10855, 11, 5993, 21362, 14401, 8793, 7400, 59, 77, 909, 70593, 262, 369, 4441, 304, 1296, 42527, 4432, 4217, 4432, 58595, 5428, 5489, 23236, 3826, 9255, 91, 5534, 9255, 18663, 2189, 341, 286, 422, 1095, 4427, 76823, 8, 284, 4441, 3960, 1020, 12709, 368, 341, 310, 422, 1095, 4427, 446, 598, 909, 284, 9070, 2446, 2966, 368, 314, 443, 43, 1435, 1296, 369, 10478, 3576, 548, 43441, 330, 412, 35394, 12723, 90766, 13481, 3453, 1913, 1215, 665, 330, 598, 35394, 12723, 198, 394, 1095, 1296, 1292, 284, 935, 487, 1527, 18739, 3960, 1020, 1213, 1284, 336, 1020, 15818, 1020, 998, 2966, 1020, 15818, 2455, 394, 662, 8319, 66133, 9177, 803, 394, 1095, 704, 2703, 284, 935, 487, 1527, 18739, 3960, 1020, 4291, 32135, 446, 412, 1865, 998, 2966, 1020, 15818, 2455, 394, 662, 8319, 55193, 518, 3605, 3147, 394, 82047, 10509, 24781, 2517, 10855, 11, 36603, 761, 504, 3645, 0, 3668, 58, 1985, 18444, 77, 8998, 4792, 368, 5991, 59, 77, 5061, 2256, 10509, 74, 1617, 285, 4552, 40823, 487, 48391, 7800, 5305, 487, 2398, 487, 1858, 487, 943, 37114, 89063, 15552, 15818, 13732, 59, 77, 3500, 59, 77, 498, 720, 504, 1296, 1292, 11, 720, 504, 704, 2703, 340, 394, 883, 38545, 310, 457, 286, 457, 262, 557, 262, 7777, 51532, 3818, 8998, 9616, 2517, 29938, 4971, 16, 25, 612, 1858, 11, 1052, 17, 25, 612, 1858, 8, 1492, 5832, 17464, 11, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 1095, 1052, 16, 284, 2958, 487, 2569, 4971, 16, 41107, 262, 1095, 1052, 17, 284, 2958, 487, 2569, 4971, 17, 41107, 262, 1095, 5318, 1052, 16, 10855, 284, 70113, 5172, 487, 943, 4971, 16, 1237, 720, 262, 1095, 5318, 1052, 17, 10855, 284, 70113, 5172, 487, 943, 4971, 17, 1237, 4815, 262, 443, 41, 797, 490, 269, 24947, 22171, 451, 67539, 4037, 2058, 2886, 1291, 369, 2479, 713, 87916, 1131, 81871, 41679, 5380, 262, 1095, 5318, 925, 16, 284, 935, 487, 943, 545, 262, 1052, 16, 10855, 4217, 2401, 3991, 2146, 7129, 925, 16, 41107, 262, 1095, 11460, 16, 25, 11564, 53344, 496, 29, 284, 925, 16, 5402, 87275, 1020, 5428, 23236, 1178, 91, 3492, 19970, 368, 871, 220, 15, 570, 17840, 1454, 262, 1095, 5318, 925, 17, 284, 935, 487, 943, 545, 262, 1052, 17, 10855, 4217, 2401, 3991, 2146, 7129, 925, 17, 41107, 262, 1095, 11460, 17, 25, 11564, 53344, 496, 29, 284, 925, 17, 5402, 87275, 1020, 5428, 23236, 1178, 91, 3492, 19970, 368, 871, 220, 15, 570, 17840, 1454, 262, 7777, 35152, 16, 419, 31666, 17, 340, 633, 9780, 5279, 15806, 7800, 10029, 2703, 25, 612, 1858, 8, 1492, 5832, 69943, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 1095, 1296, 1292, 284, 935, 487, 1527, 10029, 2703, 9914, 1284, 336, 1020, 15818, 1020, 998, 2966, 1020, 15818, 1449, 262, 422, 9616, 2517, 29938, 10029, 2703, 11, 612, 412, 2703, 18662, 32135, 446, 598, 2830, 30, 341, 286, 14069, 17667, 6390, 5946, 498, 1296, 1292, 317, 262, 335, 775, 341, 286, 14069, 17667, 6390, 4745, 498, 1296, 1292, 317, 262, 457, 262, 7777, 51532, 633, 9780, 5279, 15806, 36289, 8793, 42527, 4432, 25, 612, 1858, 8, 1492, 5832, 69943, 8425, 93946, 1487, 487, 850, 487, 1480, 2511, 341, 262, 369, 4441, 304, 1296, 42527, 4432, 4217, 4432, 58595, 5428, 5489, 23236, 3826, 9255, 91, 5534, 9255, 18663, 2189, 341, 286, 422, 1095, 4427, 76823, 8, 284, 4441, 3960, 1020, 12709, 368, 341, 310, 422, 1095, 4427, 446, 598, 909, 284, 9070, 2446, 2966, 368, 314, 443, 43, 1435, 1296, 369, 10478, 3576, 548, 43441, 330, 412, 35394, 12723, 90766, 13481, 3453, 1913, 1215, 665, 330, 598, 35394, 12723, 198, 394, 1095, 704, 2703, 284, 4441, 3960, 1020, 4291, 32135, 446, 412, 803, 394, 15806, 7800, 2146, 412, 2703, 41107, 310, 457, 286, 457, 262, 457, 262, 7777, 51532, 534, 128001, -100, 65965, 393, 10880, 6938, 45344, 45004, 13, 12557, 17005, 14881, 315, 30151, 13, 6938, 78243, 13257, 220, 6086, 12, 1490, 12, 2075, 627, 3648, 4356, 11, 7327, 8184, 45004, 13332, 11, 320, 6280, 22, 570, 16591, 23, 3415, 13, 38276, 304, 279, 4113, 17124, 20366, 79194, 13, 30893, 10051, 311, 6000, 1385, 11, 6062, 264, 1633, 6555, 323, 4335, 3048, 13, 220, 5833, 12086, 13, 320, 6881, 258, 220, 18, 25485, 5343, 8, 489, 3544, 48135, 653, 68597, 13861, 627, 18902, 59290, 18991, 315, 279, 15009, 11630, 311, 279, 29022, 220, 2075, 11, 220, 1490, 323, 220, 6086, 6938, 78243, 13257, 5450, 279, 220, 1272, 29646, 323, 220, 1135, 29646, 264, 3682, 892, 35208, 5820, 574, 29373, 315, 2038, 15609, 555, 62018, 7563, 13, 29022, 574, 279, 6522, 14290, 315, 279, 3786, 29373, 5780, 323, 279, 2883, 574, 18538, 555, 61338, 25518, 261, 411, 389, 279, 8197, 315, 813, 220, 7028, 16, 25518, 261, 411, 35081, 41009, 16347, 261, 11829, 1403, 1925, 8670, 315, 279, 6938, 78243, 13257, 1051, 46301, 315, 1493, 5326, 323, 29373, 4732, 13, 11995, 4519, 1051, 31978, 13241, 902, 19543, 304, 264, 1396, 315, 2204, 4360, 315, 279, 15009, 11630, 1210, 791, 2380, 12933, 5995, 311, 2804, 279, 6913, 7677, 2631, 304, 62018, 3786, 24043, 527, 279, 21004, 11, 279, 91552, 11, 323, 279, 24043, 5780, 13, 578, 21004, 64664, 279, 7576, 11, 279, 91552, 2961, 5637, 477, 538, 9803, 1124, 11, 323, 279, 24043, 5780, 19159, 279, 17124, 6821, 1210, 320, 3915, 279, 17219, 311, 279, 3118, 11630, 570, 791, 220, 6280, 22, 21110, 940, 6835, 264, 27387, 20616, 1139, 1268, 264, 7373, 4500, 3786, 29373, 5780, 374, 8040, 323, 1268, 433, 734, 291, 8548, 7767, 220, 25392, 13, 320, 1820, 220, 6280, 17, 90465, 570, 128001, -100, 605, 10, 578, 92976, 33945, 744, 445, 23121, 36361, 13, 8745, 13072, 37736, 320, 10399, 8, 4232, 13072, 37736, 320, 75, 23121, 570, 578, 41713, 1887, 19813, 311, 279, 4851, 11, 6680, 31080, 323, 279, 6680, 627, 2535, 5596, 389, 279, 13861, 323, 4128, 38057, 311, 1501, 279, 6530, 315, 13, 4718, 6680, 17610, 315, 264, 21655, 315, 82486, 2663, 14454, 5540, 323, 14812, 2663, 13, 2468, 279, 1890, 892, 11, 279, 2547, 61481, 12571, 3956, 1093, 12782, 40589, 11, 1203, 1139, 279, 6680, 627, 791, 4319, 38220, 1887, 11, 1101, 2663, 279, 41713, 1887, 477, 279, 64603, 1887, 11, 374, 459, 2942, 1887, 430, 29790, 6680, 311, 4319, 6468, 323, 7710, 37493, 320, 21470, 439, 42500, 33969, 323, 73396, 2392, 4390, 605, 10, 578, 92976, 33945, 744, 445, 23121, 36361, 13, 15281, 10819, 449, 21416, 89323, 13, 80282, 315, 279, 41713, 1887, 13, 20671, 4319, 24031, 6957, 279, 2547, 304, 6680, 31080, 11, 92785, 555, 279, 53226, 1957, 315, 279, 4851, 13, 3639, 374, 279, 41713, 1887, 30, 128001, -100, 3915, 12250, 3624, 13356, 11, 279, 2768, 2574, 527, 3062, 6394, 47, 3833, 5861, 2237, 551, 15379, 27156, 339, 1540, 198, 44, 1771, 2237, 551, 21317, 198, 12, 578, 4323, 32277, 2314, 20901, 33212, 706, 19073, 11938, 279, 49609, 4877, 311, 3451, 43, 329, 22506, 15379, 27156, 339, 1540, 529, 627, 12, 1102, 374, 279, 11999, 49609, 4877, 1306, 5186, 87537, 320, 49, 10114, 8674, 13528, 5481, 705, 393, 1003, 76535, 11, 323, 70130, 587, 6151, 12404, 3341, 4504, 304, 70130, 22506, 627, 10714, 15379, 27156, 339, 1540, 198, 12, 15379, 22786, 339, 1540, 374, 264, 6136, 430, 28815, 304, 4606, 323, 13936, 627, 12, 763, 6890, 11, 433, 753, 1766, 304, 279, 76438, 44957, 5654, 11, 5423, 304, 9235, 7634, 1093, 279, 9439, 951, 15916, 315, 70130, 22506, 323, 3165, 12583, 627, 12, 1115, 6136, 19159, 2678, 19087, 477, 14071, 63494, 430, 527, 20897, 719, 2539, 315, 46192, 11, 5423, 28170, 356, 627, 12, 1102, 649, 18167, 2216, 4106, 323, 2216, 9439, 20472, 11, 902, 3727, 433, 4832, 369, 279, 9439, 951, 15916, 627, 12, 7357, 961, 315, 279, 6136, 2345, 36989, 11, 11141, 11, 4483, 14801, 11, 20282, 11, 323, 270, 44129, 83872, 5505, 369, 16088, 11, 3691, 11, 10633, 11, 323, 68527, 627, 12, 1102, 753, 1101, 264, 16595, 3691, 2592, 369, 1690, 20229, 323, 5825, 78216, 3691, 369, 10099, 1093, 33012, 11, 71932, 11, 1541, 10786, 11, 36952, 11, 323, 6730, 2053, 304, 279, 9439, 24521, 13918, 627, 12, 1102, 374, 3629, 2663, 279, 3451, 62372, 18317, 23189, 3451, 43, 329, 22506, 7573, 23189, 3451, 60890, 14409, 23189, 477, 3451, 26509, 31783, 529, 315, 279, 9439, 951, 15916, 627, 3792, 17, 34703, 1233, 25, 49609, 12633, 198, 12, 362, 49609, 374, 264, 1879, 1511, 389, 3956, 430, 617, 264, 3230, 54001, 6371, 323, 15575, 29600, 477, 264, 17444, 430, 527, 4245, 311, 430, 6371, 627, 12, 452, 58697, 16784, 25, 6011, 369, 57204, 315, 24780, 323, 15774, 17657, 320, 35, 1932, 964, 705, 20214, 315, 31480, 323, 24780, 198, 12, 6890, 11, 439, 264, 4562, 315, 279, 4435, 17657, 21021, 320, 54, 5319, 705, 44977, 279, 4323, 32277, 2314, 124085, 315, 42695, 320, 24253, 323, 19721, 8, 3298, 11, 220, 2550, 24, 289, 1770, 840, 13, 6250, 220, 1049, 18, 627, 12, 480, 3957, 617, 1027, 4613, 1234, 13659, 220, 1313, 320, 16, 8, 315, 279, 100233, 23314, 389, 17657, 12, 11948, 1666, 8132, 315, 77956, 8825, 10734, 320, 2434, 27034, 8, 23314, 627, 12, 578, 4877, 13656, 2764, 369, 220, 605, 1667, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419 ]
[ 128000, 3061, 2866, 304, 6457, 198, 40981, 6690, 23920, 311, 6457, 198, 4226, 304, 6457, 369, 69940, 17997, 198, 5519, 499, 617, 311, 11722, 30, 1226, 32122, 1139, 5838, 969, 404, 320, 45, 351, 47162, 8, 304, 3297, 220, 1049, 20, 323, 1243, 3952, 279, 559, 771, 61965, 311, 27286, 323, 389, 311, 33659, 14406, 13, 1102, 574, 264, 2294, 3217, 323, 3952, 4661, 2753, 892, 1109, 16706, 1053, 617, 13, 1628, 430, 374, 449, 603, 12365, 1193, 922, 220, 23, 32847, 315, 11002, 0, 8876, 499, 617, 311, 1935, 264, 5951, 505, 279, 27286, 6625, 17149, 311, 279, 13018, 832, 320, 40, 2646, 649, 6227, 902, 836, 374, 902, 8, 358, 1541, 1431, 1781, 1070, 527, 904, 2167, 13018, 25952, 505, 279, 6625, 17149, 13, 7839, 29872, 4235, 198, 21279, 6457, 6690, 39333, 323, 2052, 452, 575, 621, 70502, 3085, 13658, 25952, 505, 29853, 6388, 21348, 311, 1102, 10830, 21348, 304, 88085, 11, 128001, 128000, 16533, 25, 362, 13, 220, 605, 14062, 791, 25065, 315, 279, 15310, 7200, 389, 279, 78736, 374, 220, 605, 126437, 89177, 76312, 279, 6530, 315, 6900, 11, 323, 279, 13957, 907, 15151, 1268, 1790, 13957, 690, 387, 9076, 555, 430, 78736, 627, 77641, 11, 279, 13957, 11, 25065, 323, 67272, 425, 10959, 907, 374, 17124, 389, 279, 78736, 596, 2547, 311, 10765, 264, 78736, 13, 1628, 279, 67272, 425, 10959, 374, 14918, 18222, 389, 279, 1404, 315, 279, 78736, 26, 3544, 67272, 425, 10959, 22884, 1105, 2586, 304, 3544, 12562, 7863, 311, 2678, 67272, 425, 10959, 22884, 1105, 13, 1666, 279, 3544, 67272, 425, 10959, 22884, 1105, 527, 3544, 11, 682, 279, 29803, 9932, 3485, 527, 17124, 389, 1202, 2547, 13, 2030, 369, 9333, 10959, 22884, 1105, 11, 439, 872, 2547, 1404, 374, 2678, 11, 433, 374, 539, 3284, 311, 1194, 279, 29803, 9932, 3485, 627, 4516, 11, 311, 10765, 279, 13957, 907, 11, 584, 1005, 12745, 11058, 11, 304, 902, 584, 690, 1194, 279, 12745, 7200, 389, 279, 78736, 2547, 627, 4959, 12745, 7200, 706, 3738, 2819, 323, 29803, 11, 1093, 279, 907, 315, 13957, 323, 1202, 25065, 627, 3112, 220, 20, 12, 7200, 323, 220, 19, 68775, 22884, 1105, 11, 279, 1566, 12745, 505, 2163, 311, 1314, 15151, 279, 25065, 907, 315, 279, 78736, 627, 51, 32761, 374, 279, 1493, 11668, 1990, 279, 16997, 13957, 907, 505, 12745, 21562, 323, 279, 17303, 907, 315, 13957, 627, 3112, 279, 25065, 315, 279, 15310, 7200, 374, 220, 605, 13689, 323, 279, 6761, 7200, 25065, 374, 220, 20, 13689, 323, 994, 1070, 374, 912, 11999, 7200, 304, 3116, 7200, 78736, 320, 269, 8, 18172, 7200, 304, 220, 20, 7200, 78736, 374, 7554, 3445, 11, 279, 25065, 374, 220, 508, 14697, 128001, 128000, 644, 420, 4652, 11, 358, 1053, 1093, 311, 11415, 279, 15325, 13878, 315, 1701, 58687, 32951, 489, 3072, 6086, 439, 459, 24645, 3072, 320, 258, 279, 3938, 11, 420, 13190, 690, 387, 8967, 8, 1174, 439, 1664, 439, 3493, 10507, 315, 6683, 315, 279, 423, 2125, 13022, 12, 9588, 15, 12, 605, 3480, 323, 96272, 1773, 63269, 27396, 13, 763, 4661, 682, 9908, 11, 86887, 32951, 374, 33398, 439, 11263, 25, 330, 9514, 649, 3351, 264, 86887, 3622, 4994, 279, 13195, 8106, 1210, 4452, 11, 369, 1063, 2944, 814, 656, 539, 6420, 477, 4661, 2646, 6420, 430, 420, 374, 264, 1695, 6776, 311, 636, 9463, 315, 13195, 7540, 2949, 279, 1890, 13195, 8106, 13, 1628, 1455, 23659, 11, 1148, 358, 5357, 389, 11, 584, 649, 387, 2771, 11, 9523, 311, 3072, 6086, 11, 430, 279, 1715, 3782, 505, 279, 3480, 449, 279, 2728, 2477, 3368, 323, 505, 279, 2700, 449, 279, 5300, 1396, 11, 323, 9093, 482, 420, 1648, 499, 649, 330, 53122, 1, 279, 1217, 627, 52426, 7269, 12, 6882, 352, 7813, 38368, 12, 769, 482, 2700, 1396, 505, 902, 279, 1715, 3782, 627, 52426, 7269, 12, 6882, 352, 12, 25732, 12, 769, 482, 320, 1729, 1670, 8, 279, 3480, 9155, 2686, 505, 902, 279, 1715, 3782, 627, 97320, 13876, 1311, 6789, 320, 52426, 7269, 93771, 34807, 8, 482, 1193, 11621, 7104, 6086, 323, 42154, 279, 13195, 10361, 4726, 627, 32, 2697, 3567, 6629, 505, 279, 8712, 13, 578, 2144, 374, 430, 358, 1766, 279, 86887, 13876, 1311, 6789, 9429, 1193, 304, 423, 2125, 12035, 13, 358, 31156, 3249, 1023, 17032, 1550, 539, 4305, 1778, 264, 11364, 3072, 30, 1102, 10800, 704, 11, 11798, 11, 323, 369, 264, 1317, 892, 13, 1102, 374, 2663, 58687, 93771, 34807, 627, 32576, 4423, 690, 2610, 264, 3488, 25, 1054, 35734, 1288, 584, 636, 9463, 315, 13195, 9629, 74022, 578, 2144, 374, 430, 304, 6725, 358, 1633, 3629, 23926, 1778, 264, 25885, 430, 994, 264, 3480, 14865, 11, 369, 3187, 11, 439, 264, 1121, 315, 264, 37943, 27511, 11, 30853, 12446, 11, 902, 11767, 311, 264, 13195, 13766, 13, 5046, 3388, 11, 439, 499, 1253, 617, 43410, 11, 584, 2103, 649, 1431, 636, 9463, 315, 832, 13195, 9629, 304, 32660, 19, 482, 420, 374, 92437, 9629, 13, 1283, 374, 8647, 369, 4857, 23733, 12, 3378, 12920, 13, 5046, 3388, 11, 499, 649, 11404, 420, 323, 5266, 704, 279, 12920, 20684, 13, 2030, 11, 358, 2846, 16984, 430, 279, 61109, 9057, 555, 420, 690, 72319, 682, 279, 81750, 315, 1118, 92437, 12920, 627, 2, 578, 18673, 2740, 11, 420, 1288, 13519, 1405, 279, 7728, 690, 387, 3549, 369, 9244, 83, 3713, 11, 719, 304, 6725, 358, 15393, 430, 420, 3072, 374, 264, 68330, 3904, 11, 358, 6818, 311, 2349, 433, 323, 4068, 4400, 706, 5614, 11, 719, 439, 814, 2019, 555, 43758, 1443, 2005, 433, 1288, 387, 551, 570, 763, 4689, 11, 358, 2011, 2019, 430, 279, 3622, 690, 330, 2203, 275, 1, 389, 682, 701, 11470, 323, 690, 9651, 15020, 709, 389, 279, 6933, 25066, 430, 4498, 1139, 279, 52557, 7633, 304, 279, 52557, 3857, 4999, 848, 320, 2801, 11, 34820, 3573, 2356, 521, 369, 498, 8026, 4791, 12, 24207, 320, 605, 11, 220, 23, 11, 69614, 82280, 42733, 8, 1174, 627, 2173, 3388, 11, 420, 374, 1193, 264, 2559, 74249, 2242, 11, 719, 279, 1455, 3062, 3245, 369, 603, 311, 7216, 704, 374, 1268, 433, 4375, 13, 16782, 11, 3411, 8469, 358, 649, 2019, 430, 358, 617, 264, 34631, 1887, 449, 3072, 6086, 323, 279, 86887, 13876, 1311, 6789, 320, 97320, 66184, 34807, 8, 9429, 11, 323, 3541, 261, 4127, 17, 374, 1511, 439, 264, 3622, 449, 57156, 76805, 315, 6933, 14564, 505, 279, 60926, 4729, 13, 2030, 420, 374, 2736, 7953, 279, 7036, 315, 420, 4652, 627, 4897, 374, 11, 1070, 527, 912, 66198, 11, 902, 3445, 430, 4395, 374, 2133, 1664, 323, 433, 374, 892, 311, 7195, 1057, 58687, 3622, 627, 15346, 471, 279, 38528, 315, 279, 1920, 11, 422, 4400, 4131, 704, 11, 1817, 279, 6683, 627, 10445, 374, 1778, 264, 1817, 5995, 30, 358, 6227, 5157, 994, 279, 3622, 3940, 11, 18799, 304, 5044, 369, 3892, 6622, 323, 34853, 13, 1628, 358, 6818, 304, 46604, 311, 636, 459, 6933, 2686, 627, 7184, 832, 1633, 3062, 3245, 11, 433, 706, 539, 1027, 5439, 922, 12660, 11, 719, 358, 8813, 433, 9526, 750, 13, 578, 6933, 2686, 315, 279, 3480, 2011, 387, 389, 279, 1890, 52557, 439, 279, 14564, 11136, 311, 31120, 662, 9636, 912, 1023, 28559, 1550, 358, 10299, 311, 636, 279, 423, 2125, 13022, 12, 9588, 15, 13190, 3318, 320, 18402, 68788, 6207, 25, 8012, 220, 19, 13, 410, 13, 6726, 81930, 6207, 25, 8012, 220, 19, 13, 2371, 13, 8759, 37865, 6207, 25, 356, 16, 8, 323, 96272, 1773, 63269, 27396, 220, 19, 13, 17, 13, 19, 627, 2028, 4652, 374, 539, 264, 15057, 477, 4879, 311, 18622, 1023, 1274, 596, 9908, 304, 701, 1866, 4339, 13, 21883, 374, 264, 1160, 315, 4528, 29085, 323, 12062, 505, 1124, 13, 763, 856, 4652, 11, 358, 10968, 389, 279, 1005, 315, 420, 2955, 439, 459, 24645, 1749, 11, 4856, 1109, 4560, 311, 1935, 264, 58687, 3622, 704, 315, 279, 4009, 627, 2185, 962, 2125, 24497, 14, 2739, 14, 46623, 14, 5538, 14, 14261, 2628, 482, 1618, 1101, 86887, 374, 7882, 4994, 279, 4009, 627, 128001, 128000, 7778, 13289, 45605, 44454, 13289, 4139, 18993, 35567, 1389, 2650, 2057, 34387, 1102, 5380, 4139, 18993, 35567, 1389, 2650, 2057, 34387, 1102, 5380, 13699, 11495, 439, 1054, 3934, 863, 9511, 51266, 11, 3320, 710, 783, 74605, 6155, 4109, 2587, 6751, 1212, 1603, 264, 50401, 9511, 7437, 304, 13, 11205, 7580, 374, 311, 5644, 264, 64441, 369, 264, 14348, 315, 7231, 7342, 439, 1695, 439, 311, 3136, 264, 6767, 1752, 6784, 3131, 264, 9511, 8638, 627, 7009, 8541, 311, 3009, 422, 584, 2349, 701, 2361, 477, 3480, 505, 264, 5820, 584, 1051, 16785, 627, 7009, 656, 539, 1620, 2216, 1317, 627, 4438, 311, 12849, 1990, 29947, 9511, 323, 3320, 710, 783, 74605, 6155, 4109, 5380, 791, 8668, 315, 264, 13803, 315, 29947, 9511, 323, 3320, 710, 783, 74605, 6155, 4109, 374, 69729, 3770, 13, 4800, 584, 649, 3371, 1521, 505, 264, 50401, 9511, 6155, 4109, 627, 6971, 710, 783, 74605, 6155, 4109, 25, 763, 420, 1162, 11, 264, 6155, 4109, 527, 539, 39445, 627, 2575, 9511, 25, 578, 6155, 4109, 304, 264, 3830, 315, 29947, 9511, 527, 39445, 304, 7138, 11, 323, 8541, 311, 636, 16643, 28520, 627, 6971, 710, 783, 74605, 6155, 4109, 25, 35341, 4109, 527, 6759, 1503, 323, 779, 73, 3514, 430, 1648, 627, 2575, 9511, 25, 35341, 4109, 527, 3831, 11, 323, 264, 50024, 6305, 8541, 311, 636, 16643, 627, 6971, 710, 783, 74605, 6155, 4109, 25, 578, 6784, 6118, 13980, 304, 4156, 315, 264, 12077, 2749, 477, 264, 64772, 627, 2575, 9511, 25, 763, 3830, 315, 29947, 9511, 11, 264, 6155, 4109, 527, 32813, 323, 1212, 2391, 264, 8108, 1203, 13, 578, 6784, 27905, 43653, 311, 264, 64772, 627, 644, 38292, 315, 264, 4510, 584, 2643, 617, 11, 433, 374, 304, 701, 1888, 11163, 670, 13071, 311, 46072, 701, 342, 75030, 16549, 422, 584, 12446, 311, 636, 1521, 6155, 4109, 627, 42562, 268, 496, 940, 57496, 320, 47, 4931, 8, 1389, 14521, 20696, 10180, 1102, 4999, 128001 ]
[ -100, 3061, 2866, 304, 6457, 198, 40981, 6690, 23920, 311, 6457, 198, 4226, 304, 6457, 369, 69940, 17997, 198, 5519, 499, 617, 311, 11722, 30, 1226, 32122, 1139, 5838, 969, 404, 320, 45, 351, 47162, 8, 304, 3297, 220, 1049, 20, 323, 1243, 3952, 279, 559, 771, 61965, 311, 27286, 323, 389, 311, 33659, 14406, 13, 1102, 574, 264, 2294, 3217, 323, 3952, 4661, 2753, 892, 1109, 16706, 1053, 617, 13, 1628, 430, 374, 449, 603, 12365, 1193, 922, 220, 23, 32847, 315, 11002, 0, 8876, 499, 617, 311, 1935, 264, 5951, 505, 279, 27286, 6625, 17149, 311, 279, 13018, 832, 320, 40, 2646, 649, 6227, 902, 836, 374, 902, 8, 358, 1541, 1431, 1781, 1070, 527, 904, 2167, 13018, 25952, 505, 279, 6625, 17149, 13, 7839, 29872, 4235, 198, 21279, 6457, 6690, 39333, 323, 2052, 452, 575, 621, 70502, 3085, 13658, 25952, 505, 29853, 6388, 21348, 311, 1102, 10830, 21348, 304, 88085, 11, 128001, -100, 16533, 25, 362, 13, 220, 605, 14062, 791, 25065, 315, 279, 15310, 7200, 389, 279, 78736, 374, 220, 605, 126437, 89177, 76312, 279, 6530, 315, 6900, 11, 323, 279, 13957, 907, 15151, 1268, 1790, 13957, 690, 387, 9076, 555, 430, 78736, 627, 77641, 11, 279, 13957, 11, 25065, 323, 67272, 425, 10959, 907, 374, 17124, 389, 279, 78736, 596, 2547, 311, 10765, 264, 78736, 13, 1628, 279, 67272, 425, 10959, 374, 14918, 18222, 389, 279, 1404, 315, 279, 78736, 26, 3544, 67272, 425, 10959, 22884, 1105, 2586, 304, 3544, 12562, 7863, 311, 2678, 67272, 425, 10959, 22884, 1105, 13, 1666, 279, 3544, 67272, 425, 10959, 22884, 1105, 527, 3544, 11, 682, 279, 29803, 9932, 3485, 527, 17124, 389, 1202, 2547, 13, 2030, 369, 9333, 10959, 22884, 1105, 11, 439, 872, 2547, 1404, 374, 2678, 11, 433, 374, 539, 3284, 311, 1194, 279, 29803, 9932, 3485, 627, 4516, 11, 311, 10765, 279, 13957, 907, 11, 584, 1005, 12745, 11058, 11, 304, 902, 584, 690, 1194, 279, 12745, 7200, 389, 279, 78736, 2547, 627, 4959, 12745, 7200, 706, 3738, 2819, 323, 29803, 11, 1093, 279, 907, 315, 13957, 323, 1202, 25065, 627, 3112, 220, 20, 12, 7200, 323, 220, 19, 68775, 22884, 1105, 11, 279, 1566, 12745, 505, 2163, 311, 1314, 15151, 279, 25065, 907, 315, 279, 78736, 627, 51, 32761, 374, 279, 1493, 11668, 1990, 279, 16997, 13957, 907, 505, 12745, 21562, 323, 279, 17303, 907, 315, 13957, 627, 3112, 279, 25065, 315, 279, 15310, 7200, 374, 220, 605, 13689, 323, 279, 6761, 7200, 25065, 374, 220, 20, 13689, 323, 994, 1070, 374, 912, 11999, 7200, 304, 3116, 7200, 78736, 320, 269, 8, 18172, 7200, 304, 220, 20, 7200, 78736, 374, 7554, 3445, 11, 279, 25065, 374, 220, 508, 14697, 128001, -100, 644, 420, 4652, 11, 358, 1053, 1093, 311, 11415, 279, 15325, 13878, 315, 1701, 58687, 32951, 489, 3072, 6086, 439, 459, 24645, 3072, 320, 258, 279, 3938, 11, 420, 13190, 690, 387, 8967, 8, 1174, 439, 1664, 439, 3493, 10507, 315, 6683, 315, 279, 423, 2125, 13022, 12, 9588, 15, 12, 605, 3480, 323, 96272, 1773, 63269, 27396, 13, 763, 4661, 682, 9908, 11, 86887, 32951, 374, 33398, 439, 11263, 25, 330, 9514, 649, 3351, 264, 86887, 3622, 4994, 279, 13195, 8106, 1210, 4452, 11, 369, 1063, 2944, 814, 656, 539, 6420, 477, 4661, 2646, 6420, 430, 420, 374, 264, 1695, 6776, 311, 636, 9463, 315, 13195, 7540, 2949, 279, 1890, 13195, 8106, 13, 1628, 1455, 23659, 11, 1148, 358, 5357, 389, 11, 584, 649, 387, 2771, 11, 9523, 311, 3072, 6086, 11, 430, 279, 1715, 3782, 505, 279, 3480, 449, 279, 2728, 2477, 3368, 323, 505, 279, 2700, 449, 279, 5300, 1396, 11, 323, 9093, 482, 420, 1648, 499, 649, 330, 53122, 1, 279, 1217, 627, 52426, 7269, 12, 6882, 352, 7813, 38368, 12, 769, 482, 2700, 1396, 505, 902, 279, 1715, 3782, 627, 52426, 7269, 12, 6882, 352, 12, 25732, 12, 769, 482, 320, 1729, 1670, 8, 279, 3480, 9155, 2686, 505, 902, 279, 1715, 3782, 627, 97320, 13876, 1311, 6789, 320, 52426, 7269, 93771, 34807, 8, 482, 1193, 11621, 7104, 6086, 323, 42154, 279, 13195, 10361, 4726, 627, 32, 2697, 3567, 6629, 505, 279, 8712, 13, 578, 2144, 374, 430, 358, 1766, 279, 86887, 13876, 1311, 6789, 9429, 1193, 304, 423, 2125, 12035, 13, 358, 31156, 3249, 1023, 17032, 1550, 539, 4305, 1778, 264, 11364, 3072, 30, 1102, 10800, 704, 11, 11798, 11, 323, 369, 264, 1317, 892, 13, 1102, 374, 2663, 58687, 93771, 34807, 627, 32576, 4423, 690, 2610, 264, 3488, 25, 1054, 35734, 1288, 584, 636, 9463, 315, 13195, 9629, 74022, 578, 2144, 374, 430, 304, 6725, 358, 1633, 3629, 23926, 1778, 264, 25885, 430, 994, 264, 3480, 14865, 11, 369, 3187, 11, 439, 264, 1121, 315, 264, 37943, 27511, 11, 30853, 12446, 11, 902, 11767, 311, 264, 13195, 13766, 13, 5046, 3388, 11, 439, 499, 1253, 617, 43410, 11, 584, 2103, 649, 1431, 636, 9463, 315, 832, 13195, 9629, 304, 32660, 19, 482, 420, 374, 92437, 9629, 13, 1283, 374, 8647, 369, 4857, 23733, 12, 3378, 12920, 13, 5046, 3388, 11, 499, 649, 11404, 420, 323, 5266, 704, 279, 12920, 20684, 13, 2030, 11, 358, 2846, 16984, 430, 279, 61109, 9057, 555, 420, 690, 72319, 682, 279, 81750, 315, 1118, 92437, 12920, 627, 2, 578, 18673, 2740, 11, 420, 1288, 13519, 1405, 279, 7728, 690, 387, 3549, 369, 9244, 83, 3713, 11, 719, 304, 6725, 358, 15393, 430, 420, 3072, 374, 264, 68330, 3904, 11, 358, 6818, 311, 2349, 433, 323, 4068, 4400, 706, 5614, 11, 719, 439, 814, 2019, 555, 43758, 1443, 2005, 433, 1288, 387, 551, 570, 763, 4689, 11, 358, 2011, 2019, 430, 279, 3622, 690, 330, 2203, 275, 1, 389, 682, 701, 11470, 323, 690, 9651, 15020, 709, 389, 279, 6933, 25066, 430, 4498, 1139, 279, 52557, 7633, 304, 279, 52557, 3857, 4999, 848, 320, 2801, 11, 34820, 3573, 2356, 521, 369, 498, 8026, 4791, 12, 24207, 320, 605, 11, 220, 23, 11, 69614, 82280, 42733, 8, 1174, 627, 2173, 3388, 11, 420, 374, 1193, 264, 2559, 74249, 2242, 11, 719, 279, 1455, 3062, 3245, 369, 603, 311, 7216, 704, 374, 1268, 433, 4375, 13, 16782, 11, 3411, 8469, 358, 649, 2019, 430, 358, 617, 264, 34631, 1887, 449, 3072, 6086, 323, 279, 86887, 13876, 1311, 6789, 320, 97320, 66184, 34807, 8, 9429, 11, 323, 3541, 261, 4127, 17, 374, 1511, 439, 264, 3622, 449, 57156, 76805, 315, 6933, 14564, 505, 279, 60926, 4729, 13, 2030, 420, 374, 2736, 7953, 279, 7036, 315, 420, 4652, 627, 4897, 374, 11, 1070, 527, 912, 66198, 11, 902, 3445, 430, 4395, 374, 2133, 1664, 323, 433, 374, 892, 311, 7195, 1057, 58687, 3622, 627, 15346, 471, 279, 38528, 315, 279, 1920, 11, 422, 4400, 4131, 704, 11, 1817, 279, 6683, 627, 10445, 374, 1778, 264, 1817, 5995, 30, 358, 6227, 5157, 994, 279, 3622, 3940, 11, 18799, 304, 5044, 369, 3892, 6622, 323, 34853, 13, 1628, 358, 6818, 304, 46604, 311, 636, 459, 6933, 2686, 627, 7184, 832, 1633, 3062, 3245, 11, 433, 706, 539, 1027, 5439, 922, 12660, 11, 719, 358, 8813, 433, 9526, 750, 13, 578, 6933, 2686, 315, 279, 3480, 2011, 387, 389, 279, 1890, 52557, 439, 279, 14564, 11136, 311, 31120, 662, 9636, 912, 1023, 28559, 1550, 358, 10299, 311, 636, 279, 423, 2125, 13022, 12, 9588, 15, 13190, 3318, 320, 18402, 68788, 6207, 25, 8012, 220, 19, 13, 410, 13, 6726, 81930, 6207, 25, 8012, 220, 19, 13, 2371, 13, 8759, 37865, 6207, 25, 356, 16, 8, 323, 96272, 1773, 63269, 27396, 220, 19, 13, 17, 13, 19, 627, 2028, 4652, 374, 539, 264, 15057, 477, 4879, 311, 18622, 1023, 1274, 596, 9908, 304, 701, 1866, 4339, 13, 21883, 374, 264, 1160, 315, 4528, 29085, 323, 12062, 505, 1124, 13, 763, 856, 4652, 11, 358, 10968, 389, 279, 1005, 315, 420, 2955, 439, 459, 24645, 1749, 11, 4856, 1109, 4560, 311, 1935, 264, 58687, 3622, 704, 315, 279, 4009, 627, 2185, 962, 2125, 24497, 14, 2739, 14, 46623, 14, 5538, 14, 14261, 2628, 482, 1618, 1101, 86887, 374, 7882, 4994, 279, 4009, 627, 128001, -100, 7778, 13289, 45605, 44454, 13289, 4139, 18993, 35567, 1389, 2650, 2057, 34387, 1102, 5380, 4139, 18993, 35567, 1389, 2650, 2057, 34387, 1102, 5380, 13699, 11495, 439, 1054, 3934, 863, 9511, 51266, 11, 3320, 710, 783, 74605, 6155, 4109, 2587, 6751, 1212, 1603, 264, 50401, 9511, 7437, 304, 13, 11205, 7580, 374, 311, 5644, 264, 64441, 369, 264, 14348, 315, 7231, 7342, 439, 1695, 439, 311, 3136, 264, 6767, 1752, 6784, 3131, 264, 9511, 8638, 627, 7009, 8541, 311, 3009, 422, 584, 2349, 701, 2361, 477, 3480, 505, 264, 5820, 584, 1051, 16785, 627, 7009, 656, 539, 1620, 2216, 1317, 627, 4438, 311, 12849, 1990, 29947, 9511, 323, 3320, 710, 783, 74605, 6155, 4109, 5380, 791, 8668, 315, 264, 13803, 315, 29947, 9511, 323, 3320, 710, 783, 74605, 6155, 4109, 374, 69729, 3770, 13, 4800, 584, 649, 3371, 1521, 505, 264, 50401, 9511, 6155, 4109, 627, 6971, 710, 783, 74605, 6155, 4109, 25, 763, 420, 1162, 11, 264, 6155, 4109, 527, 539, 39445, 627, 2575, 9511, 25, 578, 6155, 4109, 304, 264, 3830, 315, 29947, 9511, 527, 39445, 304, 7138, 11, 323, 8541, 311, 636, 16643, 28520, 627, 6971, 710, 783, 74605, 6155, 4109, 25, 35341, 4109, 527, 6759, 1503, 323, 779, 73, 3514, 430, 1648, 627, 2575, 9511, 25, 35341, 4109, 527, 3831, 11, 323, 264, 50024, 6305, 8541, 311, 636, 16643, 627, 6971, 710, 783, 74605, 6155, 4109, 25, 578, 6784, 6118, 13980, 304, 4156, 315, 264, 12077, 2749, 477, 264, 64772, 627, 2575, 9511, 25, 763, 3830, 315, 29947, 9511, 11, 264, 6155, 4109, 527, 32813, 323, 1212, 2391, 264, 8108, 1203, 13, 578, 6784, 27905, 43653, 311, 264, 64772, 627, 644, 38292, 315, 264, 4510, 584, 2643, 617, 11, 433, 374, 304, 701, 1888, 11163, 670, 13071, 311, 46072, 701, 342, 75030, 16549, 422, 584, 12446, 311, 636, 1521, 6155, 4109, 627, 42562, 268, 496, 940, 57496, 320, 47, 4931, 8, 1389, 14521, 20696, 10180, 1102, 4999, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 2460, 2431, 552, 11, 2737, 57596, 22408, 2381, 285, 11, 7958, 459, 13240, 220, 1272, 3610, 311, 220, 1135, 3610, 1274, 304, 279, 3723, 4273, 13, 4427, 58742, 1253, 40978, 449, 1938, 4791, 11477, 7640, 477, 76970, 279, 4367, 315, 2324, 627, 791, 25405, 380, 64683, 359, 16549, 11, 449, 813, 477, 1077, 28175, 4967, 323, 19248, 304, 18646, 58742, 11, 57596, 22408, 2381, 285, 323, 51643, 11, 649, 2274, 264, 6514, 3197, 369, 701, 3927, 3044, 13, 578, 5915, 690, 387, 311, 7431, 499, 311, 3063, 264, 2324, 430, 374, 439, 4725, 323, 49648, 12862, 439, 3284, 627, 3923, 2209, 18452, 2381, 285, 5380, 73262, 2381, 285, 374, 264, 4751, 23524, 279, 13803, 9124, 555, 72188, 66510, 477, 37140, 13, 77417, 315, 22408, 2381, 285, 2997, 1629, 3919, 19689, 11, 86075, 11, 21423, 10333, 287, 323, 6392, 88, 19689, 4245, 311, 2565, 425, 477, 55146, 13, 4314, 13803, 527, 279, 19689, 753, 5933, 2077, 311, 37140, 323, 66510, 11, 323, 814, 527, 3629, 5938, 449, 86075, 315, 279, 6548, 627, 7098, 4590, 81, 6751, 11, 22408, 2381, 285, 29869, 2753, 1109, 4848, 5672, 374, 2663, 30883, 22408, 2381, 285, 11, 323, 26048, 13803, 527, 2663, 21249, 22408, 2381, 285, 13, 6515, 1088, 22408, 2381, 285, 374, 6118, 9057, 555, 30020, 477, 11742, 66510, 13, 73782, 22408, 2381, 285, 1253, 387, 9057, 555, 60754, 477, 264, 8205, 315, 1023, 9547, 627, 791, 19689, 14614, 19159, 296, 38601, 11, 902, 45660, 33155, 1093, 16174, 11, 79784, 11, 25793, 323, 17684, 1026, 11, 1778, 439, 24032, 323, 42068, 13, 386, 38601, 28555, 505, 279, 4156, 315, 279, 19689, 323, 79750, 1523, 279, 1203, 315, 279, 28691, 13, 3277, 296, 38601, 5788, 374, 27639, 11, 433, 649, 6530, 505, 279, 4156, 11, 439, 264, 1629, 3919, 19689, 11, 477, 3719, 43426, 505, 279, 1203, 11, 439, 1772, 5392, 116607, 73599, 13, 39322, 278, 296, 38601, 11, 14614, 264, 15792, 11, 2867, 14812, 11, 649, 3719, 12314, 477, 28296, 11, 8530, 4245, 311, 9235, 2136, 11, 19405, 477, 25793, 13, 3277, 1772, 5392, 116607, 73599, 374, 27639, 11, 12314, 477, 5727, 85077, 33155, 11, 40700, 374, 279, 5933, 2077, 369, 33850, 279, 28691, 627, 2181, 28075, 323, 21423, 10333, 287, 527, 1101, 5933, 14847, 311, 66510, 9057, 555, 57596, 25481, 11, 11742, 70530, 2737, 36213, 16603, 11, 9499, 4442, 11, 30020, 323, 1023, 9547, 627, 791, 72188, 39881, 44385, 323, 409, 444, 7114, 48582, 13, 763, 1455, 1274, 11, 72188, 55146, 32267, 1203, 323, 13544, 505, 3185, 311, 3185, 315, 279, 19689, 304, 264, 11008, 3892, 4207, 1317, 13, 4427, 1274, 11, 5423, 1884, 449, 15376, 72188, 47869, 11, 5406, 420, 72188, 11008, 810, 1109, 3885, 13, 800, 1466, 9373, 10368, 477, 4442, 304, 2010, 2361, 649, 7958, 72188, 55146, 13, 1369, 19846, 55146, 649, 1121, 304, 28900, 7410, 323, 6784, 11, 439, 1664, 439, 6453, 26432, 1234, 279, 6548, 627, 3923, 2209, 18098, 355, 20000, 5380, 49368, 355, 20000, 374, 37140, 477, 19405, 315, 904, 315, 279, 3116, 5315, 315, 76914, 57709, 1385, 304, 279, 35113, 11, 902, 1825, 1139, 279, 72188, 47869, 13, 18098, 355, 20000, 374, 539, 279, 1890, 439, 22408, 2381, 285, 11, 8051, 279, 1403, 1253, 387, 5938, 11, 323, 872, 13803, 1253, 387, 4528, 13, 578, 3878, 1054, 16319, 355, 12544, 863, 477, 1054, 16319, 355, 55146, 863, 527, 7170, 72309, 1511, 311, 3152, 55146, 315, 279, 72188, 21765, 5196, 13, 7648, 5157, 315, 72188, 55146, 11, 3582, 11, 527, 539, 5938, 449, 76914, 20000, 627, 3923, 2209, 2052, 75439, 18452, 2381, 285, 5380, 49306, 311, 1455, 1274, 439, 18137, 34653, 11, 57596, 22408, 2381, 285, 374, 264, 1633, 4279, 6593, 3575, 28987, 810, 1109, 220, 868, 3346, 315, 279, 7187, 11, 2225, 12884, 323, 2911, 627, 2460, 75439, 22408, 2381, 285, 5097, 1403, 2204, 7739, 25, 36899, 323, 74718, 13, 77417, 315, 36899, 57596, 22408, 2381, 285, 12446, 304, 10683, 11, 7474, 323, 5255, 4216, 4498, 323, 527, 6118, 9057, 555, 57596, 27541, 311, 7230, 729, 505, 12690, 11, 16763, 288, 477, 70535, 11, 477, 311, 70863, 29561, 993, 4692, 13, 7089, 1274, 3217, 13803, 1060, 21691, 11, 264, 3044, 2663, 1054, 716, 32331, 57596, 22408, 2381, 285, 11453, 1102, 753, 8965, 9057, 555, 27541, 311, 3838, 16174, 296, 3695, 11, 10065, 294, 8363, 323, 5255, 29561, 993, 4692, 13, 9636, 6852, 477, 8340, 3691, 58742, 527, 7170, 264, 5353, 315, 74718, 72188, 13803, 627, 8538, 1274, 1253, 3217, 2225, 4595, 315, 22408, 2381, 285, 11, 449, 74718, 13803, 93405, 2391, 3230, 79784, 15956, 13, 1666, 690, 387, 14407, 3010, 11, 1070, 527, 1101, 1023, 11384, 369, 22408, 2381, 285, 627, 3923, 74105, 279, 51113, 10333, 287, 11, 1102, 59064, 43096, 323, 7089, 77417, 5380, 4599, 264, 16614, 1732, 60537, 3916, 459, 25405, 268, 320, 543, 43043, 51877, 985, 20278, 8, 1093, 21108, 86427, 79784, 11, 279, 2547, 753, 22852, 1887, 69945, 671, 86336, 449, 279, 25405, 268, 13, 578, 25405, 268, 58585, 311, 57596, 59854, 320, 12828, 359, 76525, 24292, 469, 8, 430, 527, 12673, 311, 7917, 430, 8356, 13034, 20588, 323, 1023, 26333, 13, 578, 79784, 1054, 376, 22099, 863, 1521, 7917, 304, 279, 72188, 79348, 11, 14718, 1124, 311, 4984, 13034, 20588, 323, 279, 1023, 26333, 13, 67005, 20588, 19371, 988, 279, 2678, 6680, 31080, 315, 279, 19689, 323, 56406, 24237, 704, 1139, 279, 14932, 39881, 11, 14718, 1629, 3919, 97814, 11, 30125, 727, 6548, 11, 86075, 11, 55307, 323, 1023, 60754, 13803, 627, 17555, 581, 10233, 4319, 6468, 304, 279, 6680, 4365, 11, 719, 95516, 304, 279, 39881, 315, 279, 19689, 323, 304, 279, 6930, 13, 1115, 3727, 433, 3284, 311, 1501, 279, 9546, 315, 1521, 59854, 555, 6930, 7649, 11, 477, 2753, 17037, 11, 555, 264, 3361, 39551, 36, 60754, 6680, 1296, 13, 362, 6928, 6930, 1296, 41585, 279, 955, 315, 13010, 2133, 389, 304, 279, 19689, 627, 2822, 18276, 11, 2360, 85001, 11, 779, 8595, 1054, 57564, 85001, 863, 5380, 2118, 57564, 34653, 863, 374, 264, 2543, 8838, 10826, 34457, 4751, 430, 706, 2586, 311, 7664, 279, 13803, 315, 57596, 22408, 2381, 285, 11, 5423, 994, 433, 13980, 304, 279, 3389, 7474, 13, 4452, 11, 279, 13803, 527, 539, 9057, 555, 18137, 320, 4193, 86427, 374, 832, 315, 279, 1925, 11957, 652, 1220, 8, 323, 527, 539, 24895, 555, 34653, 13, 2100, 11, 279, 4751, 1054, 543, 75439, 22408, 2381, 285, 863, 374, 810, 13687, 13, 35339, 11, 10683, 1712, 13803, 527, 7170, 2663, 1054, 25888, 34653, 2476, 719, 433, 753, 1120, 23828, 62723, 430, 61741, 527, 304, 2539, 1481, 18981, 2391, 279, 16763, 2320, 980, 16252, 3280, 13, 81470, 323, 1023, 10437, 4773, 6427, 11, 1501, 88, 19837, 17631, 389, 40558, 11, 539, 279, 10160, 11, 369, 7230, 2617, 11, 779, 539, 1790, 315, 872, 79784, 5334, 1139, 279, 3805, 311, 5353, 58742, 627, 3957, 2684, 5884, 46743, 5380, 32, 4279, 3488, 505, 57596, 22408, 2381, 285, 96460, 374, 25, 3053, 358, 3351, 1063, 2050, 1405, 856, 58742, 690, 733, 3201, 5380, 8538, 25405, 729, 527, 11292, 311, 12731, 13, 51359, 86427, 11, 902, 22223, 220, 2075, 3346, 315, 57596, 22408, 2381, 285, 96460, 11, 65712, 1455, 315, 279, 3723, 4273, 13, 9865, 21108, 86427, 374, 1766, 304, 264, 7200, 3235, 279, 4410, 16377, 11, 279, 18561, 63498, 11813, 315, 9784, 323, 18671, 30890, 11, 719, 433, 374, 2103, 3118, 13, 7570, 5596, 315, 28366, 323, 28621, 617, 264, 2697, 21108, 86427, 627, 2460, 2431, 380, 64683, 359, 22012, 56452, 7079, 7366, 311, 2500, 19076, 439, 264, 27208, 369, 58742, 13, 362, 3351, 1253, 387, 315, 44378, 907, 1606, 264, 1732, 1253, 12731, 832, 60754, 311, 21108, 86427, 11, 369, 3187, 11, 1193, 311, 2274, 27541, 311, 16763, 288, 477, 1023, 25405, 729, 304, 279, 502, 3813, 13, 8876, 7366, 649, 617, 264, 87843, 2515, 389, 264, 3070, 39075, 323, 38683, 11, 60995, 1288, 387, 6646, 1193, 304, 459, 14560, 6671, 323, 1193, 1306, 29173, 449, 459, 25405, 380, 64683, 359, 16549, 627, 3957, 2052, 75439, 18452, 2381, 285, 18374, 279, 45446, 315, 7089, 45635, 5380, 8538, 3967, 36505, 2997, 2487, 30020, 11, 76914, 20000, 11, 65174, 36366, 60187, 1900, 11, 40700, 11, 47846, 11, 29852, 6212, 12912, 11, 36709, 11, 30118, 2968, 323, 8009, 2978, 5178, 13, 89426, 11, 2911, 1253, 2274, 29852, 28900, 6650, 323, 30299, 86815, 292, 5435, 13, 2052, 43043, 6514, 649, 22472, 477, 61705, 1455, 315, 1521, 5435, 627, 11787, 2052, 47124, 315, 18452, 2381, 285, 14751, 2656, 555, 2052, 2431, 552, 5380, 73262, 2381, 285, 1253, 1121, 505, 1690, 11384, 1023, 1109, 60754, 13, 2876, 682, 22408, 2381, 285, 13803, 527, 279, 1121, 315, 58742, 13, 21883, 527, 10212, 279, 2380, 1455, 4279, 11384, 315, 22408, 2381, 285, 449, 1063, 315, 872, 17910, 627, 8140, 5915, 374, 311, 1893, 12032, 505, 1057, 8403, 529, 46045, 1555, 25589, 11, 32464, 323, 7065, 2383, 13, 1226, 1935, 2294, 22519, 304, 8405, 4367, 32464, 5897, 3600, 323, 25363, 6130, 2532, 1475, 3254, 1938, 627, 791, 31434, 520, 17472, 612, 24298, 990, 439, 264, 2128, 311, 12771, 1855, 315, 1057, 8403, 529, 17078, 13, 1226, 617, 220, 966, 10, 1667, 315, 1579, 11852, 3217, 10695, 9873, 22973, 279, 892, 11, 3300, 323, 5070, 7543, 11469, 6848, 323, 85149, 13, 128001, 128000, 791, 3962, 12, 10343, 5111, 3861, 11639, 5602, 2294, 39388, 4090, 304, 7665, 11759, 13, 1115, 41829, 505, 279, 73979, 2585, 304, 15704, 1234, 90814, 95894, 311, 279, 47765, 380, 17942, 315, 279, 19953, 9323, 13, 19292, 912, 1023, 7140, 5602, 1778, 264, 22520, 52811, 39388, 4090, 11, 439, 1550, 10057, 13, 10057, 6137, 420, 892, 4261, 439, 279, 82721, 20095, 315, 279, 1226, 88456, 5545, 11, 719, 574, 3010, 6656, 311, 279, 73979, 69948, 315, 90585, 31654, 13, 578, 1455, 3062, 8244, 2944, 369, 420, 15748, 2349, 304, 3109, 574, 279, 1226, 88456, 5545, 753, 56399, 13, 578, 56399, 315, 279, 1226, 88456, 5545, 649, 387, 30706, 311, 279, 2144, 430, 3109, 1550, 539, 617, 2867, 9021, 477, 5526, 1862, 11, 323, 279, 9861, 14638, 315, 6411, 5457, 323, 7626, 2585, 4315, 279, 6063, 22618, 894, 13, 578, 3109, 315, 279, 1226, 88456, 5545, 24026, 2085, 264, 3254, 11, 2867, 5915, 11, 902, 12207, 13194, 1202, 20334, 13, 2684, 1051, 1690, 5054, 9875, 6832, 9021, 6089, 98506, 449, 1855, 1023, 13, 1115, 3549, 264, 6671, 1405, 3109, 574, 50008, 750, 2163, 2085, 264, 2867, 43321, 1984, 311, 279, 1274, 13, 1115, 5054, 12324, 649, 7995, 387, 3970, 304, 279, 12324, 1990, 279, 6063, 11650, 8722, 11, 902, 574, 323, 279, 37961, 8722, 13, 74210, 19881, 85128, 331, 11, 264, 961, 315, 279, 6063, 11650, 8722, 11, 6267, 430, 11, 1054, 791, 4500, 690, 539, 3009, 520, 20095, 11, 323, 264, 3451, 8644, 859, 5383, 315, 279, 88347, 529, 690, 9855, 279, 1376, 315, 20320, 55949, 555, 264, 23413, 11453, 578, 4339, 315, 19881, 85128, 331, 527, 1193, 70351, 15062, 11, 4869, 11, 1606, 439, 264, 37038, 11, 568, 374, 4461, 311, 927, 39030, 349, 279, 16296, 315, 14076, 753, 2585, 13, 1115, 73764, 315, 6063, 11759, 13656, 304, 38246, 13168, 311, 279, 6325, 315, 279, 37961, 8722, 323, 4562, 51657, 1901, 295, 8148, 753, 9647, 11, 1524, 3582, 2225, 5315, 1051, 389, 279, 1890, 3185, 315, 279, 60779, 13, 1054, 791, 1193, 15062, 15803, 315, 12845, 927, 63854, 380, 62533, 2191, 374, 279, 11112, 5995, 4500, 315, 279, 64217, 8997, 14110, 1981, 11453, 54504, 11, 1521, 1403, 8147, 9875, 529, 14329, 18463, 389, 279, 9021, 315, 1226, 88456, 3109, 1053, 9522, 5618, 5249, 19723, 3720, 311, 1373, 279, 2539, 2246, 128001 ]
[ -100, 2460, 2431, 552, 11, 2737, 57596, 22408, 2381, 285, 11, 7958, 459, 13240, 220, 1272, 3610, 311, 220, 1135, 3610, 1274, 304, 279, 3723, 4273, 13, 4427, 58742, 1253, 40978, 449, 1938, 4791, 11477, 7640, 477, 76970, 279, 4367, 315, 2324, 627, 791, 25405, 380, 64683, 359, 16549, 11, 449, 813, 477, 1077, 28175, 4967, 323, 19248, 304, 18646, 58742, 11, 57596, 22408, 2381, 285, 323, 51643, 11, 649, 2274, 264, 6514, 3197, 369, 701, 3927, 3044, 13, 578, 5915, 690, 387, 311, 7431, 499, 311, 3063, 264, 2324, 430, 374, 439, 4725, 323, 49648, 12862, 439, 3284, 627, 3923, 2209, 18452, 2381, 285, 5380, 73262, 2381, 285, 374, 264, 4751, 23524, 279, 13803, 9124, 555, 72188, 66510, 477, 37140, 13, 77417, 315, 22408, 2381, 285, 2997, 1629, 3919, 19689, 11, 86075, 11, 21423, 10333, 287, 323, 6392, 88, 19689, 4245, 311, 2565, 425, 477, 55146, 13, 4314, 13803, 527, 279, 19689, 753, 5933, 2077, 311, 37140, 323, 66510, 11, 323, 814, 527, 3629, 5938, 449, 86075, 315, 279, 6548, 627, 7098, 4590, 81, 6751, 11, 22408, 2381, 285, 29869, 2753, 1109, 4848, 5672, 374, 2663, 30883, 22408, 2381, 285, 11, 323, 26048, 13803, 527, 2663, 21249, 22408, 2381, 285, 13, 6515, 1088, 22408, 2381, 285, 374, 6118, 9057, 555, 30020, 477, 11742, 66510, 13, 73782, 22408, 2381, 285, 1253, 387, 9057, 555, 60754, 477, 264, 8205, 315, 1023, 9547, 627, 791, 19689, 14614, 19159, 296, 38601, 11, 902, 45660, 33155, 1093, 16174, 11, 79784, 11, 25793, 323, 17684, 1026, 11, 1778, 439, 24032, 323, 42068, 13, 386, 38601, 28555, 505, 279, 4156, 315, 279, 19689, 323, 79750, 1523, 279, 1203, 315, 279, 28691, 13, 3277, 296, 38601, 5788, 374, 27639, 11, 433, 649, 6530, 505, 279, 4156, 11, 439, 264, 1629, 3919, 19689, 11, 477, 3719, 43426, 505, 279, 1203, 11, 439, 1772, 5392, 116607, 73599, 13, 39322, 278, 296, 38601, 11, 14614, 264, 15792, 11, 2867, 14812, 11, 649, 3719, 12314, 477, 28296, 11, 8530, 4245, 311, 9235, 2136, 11, 19405, 477, 25793, 13, 3277, 1772, 5392, 116607, 73599, 374, 27639, 11, 12314, 477, 5727, 85077, 33155, 11, 40700, 374, 279, 5933, 2077, 369, 33850, 279, 28691, 627, 2181, 28075, 323, 21423, 10333, 287, 527, 1101, 5933, 14847, 311, 66510, 9057, 555, 57596, 25481, 11, 11742, 70530, 2737, 36213, 16603, 11, 9499, 4442, 11, 30020, 323, 1023, 9547, 627, 791, 72188, 39881, 44385, 323, 409, 444, 7114, 48582, 13, 763, 1455, 1274, 11, 72188, 55146, 32267, 1203, 323, 13544, 505, 3185, 311, 3185, 315, 279, 19689, 304, 264, 11008, 3892, 4207, 1317, 13, 4427, 1274, 11, 5423, 1884, 449, 15376, 72188, 47869, 11, 5406, 420, 72188, 11008, 810, 1109, 3885, 13, 800, 1466, 9373, 10368, 477, 4442, 304, 2010, 2361, 649, 7958, 72188, 55146, 13, 1369, 19846, 55146, 649, 1121, 304, 28900, 7410, 323, 6784, 11, 439, 1664, 439, 6453, 26432, 1234, 279, 6548, 627, 3923, 2209, 18098, 355, 20000, 5380, 49368, 355, 20000, 374, 37140, 477, 19405, 315, 904, 315, 279, 3116, 5315, 315, 76914, 57709, 1385, 304, 279, 35113, 11, 902, 1825, 1139, 279, 72188, 47869, 13, 18098, 355, 20000, 374, 539, 279, 1890, 439, 22408, 2381, 285, 11, 8051, 279, 1403, 1253, 387, 5938, 11, 323, 872, 13803, 1253, 387, 4528, 13, 578, 3878, 1054, 16319, 355, 12544, 863, 477, 1054, 16319, 355, 55146, 863, 527, 7170, 72309, 1511, 311, 3152, 55146, 315, 279, 72188, 21765, 5196, 13, 7648, 5157, 315, 72188, 55146, 11, 3582, 11, 527, 539, 5938, 449, 76914, 20000, 627, 3923, 2209, 2052, 75439, 18452, 2381, 285, 5380, 49306, 311, 1455, 1274, 439, 18137, 34653, 11, 57596, 22408, 2381, 285, 374, 264, 1633, 4279, 6593, 3575, 28987, 810, 1109, 220, 868, 3346, 315, 279, 7187, 11, 2225, 12884, 323, 2911, 627, 2460, 75439, 22408, 2381, 285, 5097, 1403, 2204, 7739, 25, 36899, 323, 74718, 13, 77417, 315, 36899, 57596, 22408, 2381, 285, 12446, 304, 10683, 11, 7474, 323, 5255, 4216, 4498, 323, 527, 6118, 9057, 555, 57596, 27541, 311, 7230, 729, 505, 12690, 11, 16763, 288, 477, 70535, 11, 477, 311, 70863, 29561, 993, 4692, 13, 7089, 1274, 3217, 13803, 1060, 21691, 11, 264, 3044, 2663, 1054, 716, 32331, 57596, 22408, 2381, 285, 11453, 1102, 753, 8965, 9057, 555, 27541, 311, 3838, 16174, 296, 3695, 11, 10065, 294, 8363, 323, 5255, 29561, 993, 4692, 13, 9636, 6852, 477, 8340, 3691, 58742, 527, 7170, 264, 5353, 315, 74718, 72188, 13803, 627, 8538, 1274, 1253, 3217, 2225, 4595, 315, 22408, 2381, 285, 11, 449, 74718, 13803, 93405, 2391, 3230, 79784, 15956, 13, 1666, 690, 387, 14407, 3010, 11, 1070, 527, 1101, 1023, 11384, 369, 22408, 2381, 285, 627, 3923, 74105, 279, 51113, 10333, 287, 11, 1102, 59064, 43096, 323, 7089, 77417, 5380, 4599, 264, 16614, 1732, 60537, 3916, 459, 25405, 268, 320, 543, 43043, 51877, 985, 20278, 8, 1093, 21108, 86427, 79784, 11, 279, 2547, 753, 22852, 1887, 69945, 671, 86336, 449, 279, 25405, 268, 13, 578, 25405, 268, 58585, 311, 57596, 59854, 320, 12828, 359, 76525, 24292, 469, 8, 430, 527, 12673, 311, 7917, 430, 8356, 13034, 20588, 323, 1023, 26333, 13, 578, 79784, 1054, 376, 22099, 863, 1521, 7917, 304, 279, 72188, 79348, 11, 14718, 1124, 311, 4984, 13034, 20588, 323, 279, 1023, 26333, 13, 67005, 20588, 19371, 988, 279, 2678, 6680, 31080, 315, 279, 19689, 323, 56406, 24237, 704, 1139, 279, 14932, 39881, 11, 14718, 1629, 3919, 97814, 11, 30125, 727, 6548, 11, 86075, 11, 55307, 323, 1023, 60754, 13803, 627, 17555, 581, 10233, 4319, 6468, 304, 279, 6680, 4365, 11, 719, 95516, 304, 279, 39881, 315, 279, 19689, 323, 304, 279, 6930, 13, 1115, 3727, 433, 3284, 311, 1501, 279, 9546, 315, 1521, 59854, 555, 6930, 7649, 11, 477, 2753, 17037, 11, 555, 264, 3361, 39551, 36, 60754, 6680, 1296, 13, 362, 6928, 6930, 1296, 41585, 279, 955, 315, 13010, 2133, 389, 304, 279, 19689, 627, 2822, 18276, 11, 2360, 85001, 11, 779, 8595, 1054, 57564, 85001, 863, 5380, 2118, 57564, 34653, 863, 374, 264, 2543, 8838, 10826, 34457, 4751, 430, 706, 2586, 311, 7664, 279, 13803, 315, 57596, 22408, 2381, 285, 11, 5423, 994, 433, 13980, 304, 279, 3389, 7474, 13, 4452, 11, 279, 13803, 527, 539, 9057, 555, 18137, 320, 4193, 86427, 374, 832, 315, 279, 1925, 11957, 652, 1220, 8, 323, 527, 539, 24895, 555, 34653, 13, 2100, 11, 279, 4751, 1054, 543, 75439, 22408, 2381, 285, 863, 374, 810, 13687, 13, 35339, 11, 10683, 1712, 13803, 527, 7170, 2663, 1054, 25888, 34653, 2476, 719, 433, 753, 1120, 23828, 62723, 430, 61741, 527, 304, 2539, 1481, 18981, 2391, 279, 16763, 2320, 980, 16252, 3280, 13, 81470, 323, 1023, 10437, 4773, 6427, 11, 1501, 88, 19837, 17631, 389, 40558, 11, 539, 279, 10160, 11, 369, 7230, 2617, 11, 779, 539, 1790, 315, 872, 79784, 5334, 1139, 279, 3805, 311, 5353, 58742, 627, 3957, 2684, 5884, 46743, 5380, 32, 4279, 3488, 505, 57596, 22408, 2381, 285, 96460, 374, 25, 3053, 358, 3351, 1063, 2050, 1405, 856, 58742, 690, 733, 3201, 5380, 8538, 25405, 729, 527, 11292, 311, 12731, 13, 51359, 86427, 11, 902, 22223, 220, 2075, 3346, 315, 57596, 22408, 2381, 285, 96460, 11, 65712, 1455, 315, 279, 3723, 4273, 13, 9865, 21108, 86427, 374, 1766, 304, 264, 7200, 3235, 279, 4410, 16377, 11, 279, 18561, 63498, 11813, 315, 9784, 323, 18671, 30890, 11, 719, 433, 374, 2103, 3118, 13, 7570, 5596, 315, 28366, 323, 28621, 617, 264, 2697, 21108, 86427, 627, 2460, 2431, 380, 64683, 359, 22012, 56452, 7079, 7366, 311, 2500, 19076, 439, 264, 27208, 369, 58742, 13, 362, 3351, 1253, 387, 315, 44378, 907, 1606, 264, 1732, 1253, 12731, 832, 60754, 311, 21108, 86427, 11, 369, 3187, 11, 1193, 311, 2274, 27541, 311, 16763, 288, 477, 1023, 25405, 729, 304, 279, 502, 3813, 13, 8876, 7366, 649, 617, 264, 87843, 2515, 389, 264, 3070, 39075, 323, 38683, 11, 60995, 1288, 387, 6646, 1193, 304, 459, 14560, 6671, 323, 1193, 1306, 29173, 449, 459, 25405, 380, 64683, 359, 16549, 627, 3957, 2052, 75439, 18452, 2381, 285, 18374, 279, 45446, 315, 7089, 45635, 5380, 8538, 3967, 36505, 2997, 2487, 30020, 11, 76914, 20000, 11, 65174, 36366, 60187, 1900, 11, 40700, 11, 47846, 11, 29852, 6212, 12912, 11, 36709, 11, 30118, 2968, 323, 8009, 2978, 5178, 13, 89426, 11, 2911, 1253, 2274, 29852, 28900, 6650, 323, 30299, 86815, 292, 5435, 13, 2052, 43043, 6514, 649, 22472, 477, 61705, 1455, 315, 1521, 5435, 627, 11787, 2052, 47124, 315, 18452, 2381, 285, 14751, 2656, 555, 2052, 2431, 552, 5380, 73262, 2381, 285, 1253, 1121, 505, 1690, 11384, 1023, 1109, 60754, 13, 2876, 682, 22408, 2381, 285, 13803, 527, 279, 1121, 315, 58742, 13, 21883, 527, 10212, 279, 2380, 1455, 4279, 11384, 315, 22408, 2381, 285, 449, 1063, 315, 872, 17910, 627, 8140, 5915, 374, 311, 1893, 12032, 505, 1057, 8403, 529, 46045, 1555, 25589, 11, 32464, 323, 7065, 2383, 13, 1226, 1935, 2294, 22519, 304, 8405, 4367, 32464, 5897, 3600, 323, 25363, 6130, 2532, 1475, 3254, 1938, 627, 791, 31434, 520, 17472, 612, 24298, 990, 439, 264, 2128, 311, 12771, 1855, 315, 1057, 8403, 529, 17078, 13, 1226, 617, 220, 966, 10, 1667, 315, 1579, 11852, 3217, 10695, 9873, 22973, 279, 892, 11, 3300, 323, 5070, 7543, 11469, 6848, 323, 85149, 13, 128001, -100, 791, 3962, 12, 10343, 5111, 3861, 11639, 5602, 2294, 39388, 4090, 304, 7665, 11759, 13, 1115, 41829, 505, 279, 73979, 2585, 304, 15704, 1234, 90814, 95894, 311, 279, 47765, 380, 17942, 315, 279, 19953, 9323, 13, 19292, 912, 1023, 7140, 5602, 1778, 264, 22520, 52811, 39388, 4090, 11, 439, 1550, 10057, 13, 10057, 6137, 420, 892, 4261, 439, 279, 82721, 20095, 315, 279, 1226, 88456, 5545, 11, 719, 574, 3010, 6656, 311, 279, 73979, 69948, 315, 90585, 31654, 13, 578, 1455, 3062, 8244, 2944, 369, 420, 15748, 2349, 304, 3109, 574, 279, 1226, 88456, 5545, 753, 56399, 13, 578, 56399, 315, 279, 1226, 88456, 5545, 649, 387, 30706, 311, 279, 2144, 430, 3109, 1550, 539, 617, 2867, 9021, 477, 5526, 1862, 11, 323, 279, 9861, 14638, 315, 6411, 5457, 323, 7626, 2585, 4315, 279, 6063, 22618, 894, 13, 578, 3109, 315, 279, 1226, 88456, 5545, 24026, 2085, 264, 3254, 11, 2867, 5915, 11, 902, 12207, 13194, 1202, 20334, 13, 2684, 1051, 1690, 5054, 9875, 6832, 9021, 6089, 98506, 449, 1855, 1023, 13, 1115, 3549, 264, 6671, 1405, 3109, 574, 50008, 750, 2163, 2085, 264, 2867, 43321, 1984, 311, 279, 1274, 13, 1115, 5054, 12324, 649, 7995, 387, 3970, 304, 279, 12324, 1990, 279, 6063, 11650, 8722, 11, 902, 574, 323, 279, 37961, 8722, 13, 74210, 19881, 85128, 331, 11, 264, 961, 315, 279, 6063, 11650, 8722, 11, 6267, 430, 11, 1054, 791, 4500, 690, 539, 3009, 520, 20095, 11, 323, 264, 3451, 8644, 859, 5383, 315, 279, 88347, 529, 690, 9855, 279, 1376, 315, 20320, 55949, 555, 264, 23413, 11453, 578, 4339, 315, 19881, 85128, 331, 527, 1193, 70351, 15062, 11, 4869, 11, 1606, 439, 264, 37038, 11, 568, 374, 4461, 311, 927, 39030, 349, 279, 16296, 315, 14076, 753, 2585, 13, 1115, 73764, 315, 6063, 11759, 13656, 304, 38246, 13168, 311, 279, 6325, 315, 279, 37961, 8722, 323, 4562, 51657, 1901, 295, 8148, 753, 9647, 11, 1524, 3582, 2225, 5315, 1051, 389, 279, 1890, 3185, 315, 279, 60779, 13, 1054, 791, 1193, 15062, 15803, 315, 12845, 927, 63854, 380, 62533, 2191, 374, 279, 11112, 5995, 4500, 315, 279, 64217, 8997, 14110, 1981, 11453, 54504, 11, 1521, 1403, 8147, 9875, 529, 14329, 18463, 389, 279, 9021, 315, 1226, 88456, 3109, 1053, 9522, 5618, 5249, 19723, 3720, 311, 1373, 279, 2539, 2246, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 3563, 279, 4817, 323, 2543, 389, 279, 8798, 323, 743, 279, 8571, 389, 1579, 13, 578, 4106, 3276, 333, 28733, 374, 13061, 709, 520, 279, 3090, 14155, 323, 35292, 1555, 264, 38600, 311, 279, 43338, 6332, 13, 4427, 6956, 1253, 617, 5361, 282, 4881, 11, 779, 1304, 2771, 499, 1817, 682, 315, 279, 282, 4881, 430, 527, 10815, 311, 279, 3777, 304, 3488, 13, 37294, 279, 1948, 315, 279, 3790, 323, 6958, 9017, 499, 13, 11016, 279, 5740, 315, 279, 24858, 389, 279, 24023, 3185, 311, 8895, 2680, 311, 279, 1529, 1223, 9048, 13, 1952, 1057, 7458, 11, 422, 279, 11276, 527, 2736, 1523, 323, 1243, 8552, 11, 814, 1253, 539, 733, 709, 7389, 2884, 505, 279, 4156, 11835, 477, 279, 11404, 734, 374, 79841, 13, 2057, 4685, 279, 502, 832, 1120, 4585, 279, 1584, 1203, 304, 323, 433, 690, 10885, 1139, 2035, 627, 2181, 596, 539, 459, 4228, 2683, 323, 1455, 4461, 701, 527, 4560, 311, 5155, 264, 9499, 31990, 279, 39388, 52085, 13, 7429, 11, 1070, 527, 2410, 282, 4881, 7559, 1234, 279, 28314, 304, 264, 3776, 32802, 7090, 439, 499, 1825, 279, 28314, 311, 279, 2163, 3185, 24023, 3185, 66621, 2684, 527, 1063, 9244, 63634, 311, 30069, 449, 27203, 499, 10683, 3201, 505, 279, 58170, 11, 1063, 38600, 1206, 14989, 11, 323, 1063, 23506, 45339, 287, 311, 4148, 13, 2057, 8417, 4661, 682, 9364, 304, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 9364, 18537, 499, 1205, 311, 1833, 13, 32833, 3658, 311, 3729, 757, 520, 20295, 63993, 13, 8612, 279, 961, 315, 279, 3480, 449, 279, 7891, 311, 3345, 2225, 11276, 627, 1966, 279, 1314, 3185, 315, 279, 56520, 44598, 11, 1070, 374, 264, 6958, 57587, 4696, 308, 7090, 13, 1442, 499, 1205, 311, 8454, 264, 36574, 32802, 304, 701, 37105, 11, 1304, 2771, 499, 8454, 433, 449, 832, 430, 706, 279, 1890, 1097, 716, 425, 439, 279, 36574, 32802, 13, 1442, 1070, 374, 2410, 11, 20206, 433, 1203, 304, 323, 6958, 279, 220, 17, 2695, 556, 28087, 1022, 279, 1529, 1223, 9048, 323, 1296, 279, 28087, 369, 2410, 13, 40870, 18029, 37105, 220, 1049, 18, 2001, 220, 1049, 20, 2001, 74615, 8425, 36361, 9156, 78901, 11, 1404, 25, 220, 4728, 865, 220, 5067, 17585, 11, 2592, 25, 8604, 13, 50820, 279, 59672, 311, 37377, 279, 2361, 315, 279, 3805, 9473, 1418, 10307, 279, 38424, 389, 279, 11983, 627, 2675, 2643, 539, 1390, 311, 4148, 279, 43266, 2547, 1606, 499, 1205, 311, 3568, 449, 279, 2723, 1154, 439, 1664, 13, 4343, 279, 28087, 369, 2410, 389, 832, 315, 279, 54079, 13, 1442, 499, 1205, 311, 8454, 264, 36574, 32802, 304, 701, 37105, 11, 1304, 2771, 499, 8454, 433, 449, 832, 430, 706, 279, 1890, 1097, 716, 425, 439, 279, 36574, 32802, 13, 578, 4827, 32942, 11, 7559, 1234, 279, 17960, 13961, 11, 374, 264, 24941, 311, 636, 520, 0, 1442, 279, 32802, 323, 279, 32951, 527, 1695, 11, 1817, 279, 1529, 1223, 9048, 594, 1601, 13, 12268, 279, 22733, 389, 279, 1948, 323, 12157, 279, 52524, 3504, 13, 7817, 551, 37105, 650, 598, 74615, 8425, 627, 2746, 1070, 374, 912, 2410, 520, 279, 28087, 11, 279, 1529, 1223, 9048, 594, 1601, 374, 3958, 13, 1226, 10491, 311, 4358, 420, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 6685, 389, 420, 2199, 1606, 4184, 311, 828, 5108, 505, 5195, 2778, 4817, 11, 11699, 832, 315, 1690, 1948, 22359, 27573, 1401, 3492, 389, 279, 7757, 13, 5377, 449, 264, 16652, 477, 5507, 449, 264, 30293, 2678, 49770, 6964, 13, 1102, 374, 4920, 279, 17960, 5425, 927, 14019, 13, 578, 32802, 3830, 374, 7559, 4920, 264, 2678, 18698, 27442, 12466, 7090, 902, 374, 7559, 1070, 13, 1442, 701, 37105, 706, 1690, 2671, 1093, 264, 7160, 76736, 11, 10873, 11, 32813, 16712, 11, 5099, 11, 279, 810, 282, 4881, 433, 706, 13, 22559, 25, 9636, 279, 28314, 389, 279, 1314, 3185, 11983, 1455, 315, 279, 3544, 282, 4881, 627, 10596, 369, 4696, 264, 9518, 12466, 3830, 922, 220, 21, 12, 23, 15271, 1317, 323, 220, 19, 15271, 7029, 13, 2684, 374, 459, 93041, 11, 422, 5044, 17482, 757, 11, 499, 617, 311, 4148, 279, 1948, 22733, 323, 1120, 83842, 279, 5740, 13, 1442, 1070, 374, 912, 2410, 11, 279, 2585, 2010, 389, 279, 24858, 374, 3958, 13, 7817, 551, 40870, 18029, 37105, 64705, 21, 220, 1049, 20, 2001, 220, 1049, 21, 2001, 74615, 8425, 36361, 9156, 78901, 47031, 311, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 11, 2217, 1404, 220, 26491, 1630, 220, 23402, 17585, 11, 323, 311, 1684, 2217, 3649, 4587, 4299, 279, 2217, 13, 578, 2835, 3485, 5039, 1268, 311, 8454, 36574, 282, 4881, 304, 279, 15135, 32802, 3830, 315, 701, 220, 1049, 16, 40870, 18029, 37105, 304, 5369, 311, 279, 32802, 7090, 13861, 3813, 627, 791, 20124, 315, 279, 23738, 527, 23700, 389, 420, 3997, 13, 578, 11276, 690, 3136, 311, 1825, 439, 1317, 439, 279, 3480, 374, 17770, 11, 3156, 814, 527, 7373, 9107, 13, 5186, 220, 1114, 11, 220, 679, 20, 1102, 374, 17821, 430, 279, 14981, 11276, 527, 75754, 26214, 13, 1115, 8712, 374, 264, 2294, 3568, 315, 7931, 3411, 2930, 11, 9093, 584, 47376, 9364, 505, 5370, 57042, 5070, 323, 1101, 58389, 304, 872, 2115, 13, 5659, 279, 7314, 315, 40508, 2955, 1648, 1603, 279, 5008, 350, 11, 3673, 430, 1205, 21420, 2532, 2011, 387, 6847, 8813, 369, 14039, 13, 55518, 48953, 36361, 82, 9002, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 220, 1049, 18, 40870, 18029, 15757, 43813, 74615, 8425, 36361, 2001, 25736, 13545, 220, 1049, 18, 40870, 18029, 369, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 4567, 9730, 220, 1049, 19, 40870, 18029, 10517, 44394, 74615, 8425, 36361, 56795, 6957, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 28468, 74615, 19482, 36361, 1789, 220, 1049, 20, 40870, 18029, 37105, 2001, 20295, 7911, 9002, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 627, 29986, 5042, 555, 4074, 449, 5887, 11, 220, 914, 220, 679, 17, 13, 578, 1529, 1223, 9048, 594, 1601, 374, 1314, 1828, 311, 279, 1529, 1223, 9048, 11, 1120, 311, 279, 2163, 3185, 323, 9017, 279, 14981, 13, 1102, 3250, 956, 13194, 323, 1193, 5097, 264, 2478, 4520, 13, 7648, 11731, 617, 264, 3215, 311, 11404, 279, 14981, 11276, 311, 5471, 2911, 505, 5737, 449, 1124, 13, 13440, 279, 8571, 4732, 374, 304, 17392, 477, 11630, 11, 279, 25753, 527, 17427, 555, 279, 1005, 315, 264, 1529, 1223, 9048, 594, 1601, 304, 3345, 37843, 311, 279, 1529, 1223, 9048, 627, 2181, 374, 5107, 311, 636, 311, 13, 7429, 11, 1070, 527, 2410, 282, 4881, 7559, 1234, 279, 28314, 304, 264, 3776, 32802, 7090, 439, 499, 1825, 279, 28314, 311, 279, 2163, 3185, 24023, 3185, 13, 1442, 832, 315, 279, 14365, 1587, 539, 1825, 11, 1070, 690, 387, 912, 8798, 13, 578, 282, 4881, 527, 369, 4395, 304, 279, 15135, 13, 358, 617, 3686, 311, 7216, 704, 1268, 311, 8454, 279, 75170, 2875, 315, 14713, 704, 279, 4156, 3857, 315, 279, 8798, 20858, 927, 279, 49480, 13961, 627, 56962, 311, 1505, 3630, 9002, 220, 1049, 18, 40870, 18029, 37105, 74615, 8425, 36361, 30, 4343, 369, 2410, 520, 279, 28087, 1418, 312, 3571, 287, 279, 59672, 389, 279, 2585, 7090, 13, 13309, 14467, 13709, 9640, 11, 18178, 11, 4848, 6690, 17867, 23146, 11, 1403, 31261, 23315, 13, 9934, 279, 96936, 311, 279, 43338, 6332, 34083, 13, 49484, 279, 8389, 14994, 311, 904, 12743, 9501, 2949, 279, 4817, 5196, 11, 387, 2771, 311, 2567, 279, 14994, 2867, 315, 904, 53779, 477, 7366, 5596, 13, 8612, 279, 74644, 961, 315, 279, 3480, 311, 1825, 279, 11276, 26, 2225, 11276, 690, 1825, 13, 55518, 48953, 36361, 82, 304, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 8767, 9932, 374, 61336, 3515, 25, 2231, 709, 555, 5042, 4074, 449, 5887, 11, 220, 914, 220, 679, 17, 13, 32928, 279, 20314, 28087, 1022, 323, 2543, 389, 279, 60692, 1401, 13, 128001, 128000, 3923, 374, 264, 31847, 30, 1102, 374, 459, 389, 279, 4272, 2532, 430, 58704, 828, 430, 1253, 2035, 701, 6223, 13827, 434, 520, 5326, 13, 18056, 701, 3566, 33957, 527, 5918, 311, 2567, 3839, 315, 701, 5820, 11, 814, 1253, 1524, 1457, 18623, 279, 27573, 311, 701, 6933, 2686, 13, 362, 31847, 2532, 6276, 499, 311, 5766, 5042, 1694, 34156, 555, 701, 7757, 3717, 9287, 13, 1442, 499, 1541, 1431, 1005, 264, 31847, 2027, 11, 499, 5326, 15061, 279, 311, 82, 315, 13335, 499, 733, 311, 627, 16179, 81694, 527, 12309, 57042, 11, 7170, 814, 4430, 2038, 9002, 701, 58840, 2212, 26870, 449, 4948, 9875, 13, 7570, 11201, 11, 814, 1253, 2543, 1139, 12697, 315, 21516, 1824, 6417, 24624, 323, 30485, 701, 879, 2038, 13, 30379, 430, 499, 387, 46878, 994, 3318, 449, 586, 17664, 27395, 13, 34711, 32638, 1253, 1304, 459, 5149, 311, 27669, 701, 2759, 3649, 11, 8323, 3649, 11, 477, 1524, 279, 9764, 13, 763, 1063, 14560, 4787, 11, 420, 649, 387, 54677, 13, 362, 31847, 374, 7995, 459, 7718, 2766, 315, 64241, 4868, 369, 701, 2626, 8871, 9476, 627, 13683, 48460, 9966, 701, 2930, 2237, 315, 12625, 13, 3277, 499, 4667, 311, 459, 653, 85408, 17664, 9314, 4009, 11, 701, 1866, 4443, 2038, 1253, 387, 15246, 13, 1472, 649, 1101, 5766, 31720, 701, 2759, 3649, 389, 653, 8890, 277, 59350, 17664, 27395, 6732, 555, 1701, 264, 31847, 13, 13440, 499, 3207, 58840, 279, 3566, 477, 52067, 449, 18570, 11, 264, 31847, 690, 3136, 701, 2038, 9966, 13, 1442, 499, 527, 11920, 922, 701, 6223, 13827, 434, 11, 264, 31847, 374, 279, 1888, 1749, 311, 2567, 433, 1093, 430, 627, 32, 31847, 36236, 3062, 6500, 828, 555, 30725, 287, 433, 4972, 311, 433, 11141, 701, 6500, 13, 3161, 704, 264, 31847, 11, 701, 6500, 828, 649, 387, 70474, 323, 270, 32077, 555, 21516, 99495, 82, 13, 1472, 649, 1101, 9903, 709, 5361, 54475, 520, 3131, 11, 323, 779, 264, 31847, 374, 7718, 422, 499, 6562, 311, 2567, 701, 13363, 6220, 13, 9176, 31847, 20972, 3085, 7447, 66707, 3788, 1129, 278, 354, 398, 6329, 916, 10991, 99949, 4791, 25700, 8437, 2973, 14271, 12, 9949, 34119, 2158, 3502, 1773, 10444, 87656, 55885, 14, 3504, 13, 2100, 1174, 49071, 682, 315, 701, 8316, 449, 264, 58229, 2759, 0, 15636, 1174, 1148, 7041, 374, 31847, 30, 128001 ]
[ -100, 3563, 279, 4817, 323, 2543, 389, 279, 8798, 323, 743, 279, 8571, 389, 1579, 13, 578, 4106, 3276, 333, 28733, 374, 13061, 709, 520, 279, 3090, 14155, 323, 35292, 1555, 264, 38600, 311, 279, 43338, 6332, 13, 4427, 6956, 1253, 617, 5361, 282, 4881, 11, 779, 1304, 2771, 499, 1817, 682, 315, 279, 282, 4881, 430, 527, 10815, 311, 279, 3777, 304, 3488, 13, 37294, 279, 1948, 315, 279, 3790, 323, 6958, 9017, 499, 13, 11016, 279, 5740, 315, 279, 24858, 389, 279, 24023, 3185, 311, 8895, 2680, 311, 279, 1529, 1223, 9048, 13, 1952, 1057, 7458, 11, 422, 279, 11276, 527, 2736, 1523, 323, 1243, 8552, 11, 814, 1253, 539, 733, 709, 7389, 2884, 505, 279, 4156, 11835, 477, 279, 11404, 734, 374, 79841, 13, 2057, 4685, 279, 502, 832, 1120, 4585, 279, 1584, 1203, 304, 323, 433, 690, 10885, 1139, 2035, 627, 2181, 596, 539, 459, 4228, 2683, 323, 1455, 4461, 701, 527, 4560, 311, 5155, 264, 9499, 31990, 279, 39388, 52085, 13, 7429, 11, 1070, 527, 2410, 282, 4881, 7559, 1234, 279, 28314, 304, 264, 3776, 32802, 7090, 439, 499, 1825, 279, 28314, 311, 279, 2163, 3185, 24023, 3185, 66621, 2684, 527, 1063, 9244, 63634, 311, 30069, 449, 27203, 499, 10683, 3201, 505, 279, 58170, 11, 1063, 38600, 1206, 14989, 11, 323, 1063, 23506, 45339, 287, 311, 4148, 13, 2057, 8417, 4661, 682, 9364, 304, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 9364, 18537, 499, 1205, 311, 1833, 13, 32833, 3658, 311, 3729, 757, 520, 20295, 63993, 13, 8612, 279, 961, 315, 279, 3480, 449, 279, 7891, 311, 3345, 2225, 11276, 627, 1966, 279, 1314, 3185, 315, 279, 56520, 44598, 11, 1070, 374, 264, 6958, 57587, 4696, 308, 7090, 13, 1442, 499, 1205, 311, 8454, 264, 36574, 32802, 304, 701, 37105, 11, 1304, 2771, 499, 8454, 433, 449, 832, 430, 706, 279, 1890, 1097, 716, 425, 439, 279, 36574, 32802, 13, 1442, 1070, 374, 2410, 11, 20206, 433, 1203, 304, 323, 6958, 279, 220, 17, 2695, 556, 28087, 1022, 279, 1529, 1223, 9048, 323, 1296, 279, 28087, 369, 2410, 13, 40870, 18029, 37105, 220, 1049, 18, 2001, 220, 1049, 20, 2001, 74615, 8425, 36361, 9156, 78901, 11, 1404, 25, 220, 4728, 865, 220, 5067, 17585, 11, 2592, 25, 8604, 13, 50820, 279, 59672, 311, 37377, 279, 2361, 315, 279, 3805, 9473, 1418, 10307, 279, 38424, 389, 279, 11983, 627, 2675, 2643, 539, 1390, 311, 4148, 279, 43266, 2547, 1606, 499, 1205, 311, 3568, 449, 279, 2723, 1154, 439, 1664, 13, 4343, 279, 28087, 369, 2410, 389, 832, 315, 279, 54079, 13, 1442, 499, 1205, 311, 8454, 264, 36574, 32802, 304, 701, 37105, 11, 1304, 2771, 499, 8454, 433, 449, 832, 430, 706, 279, 1890, 1097, 716, 425, 439, 279, 36574, 32802, 13, 578, 4827, 32942, 11, 7559, 1234, 279, 17960, 13961, 11, 374, 264, 24941, 311, 636, 520, 0, 1442, 279, 32802, 323, 279, 32951, 527, 1695, 11, 1817, 279, 1529, 1223, 9048, 594, 1601, 13, 12268, 279, 22733, 389, 279, 1948, 323, 12157, 279, 52524, 3504, 13, 7817, 551, 37105, 650, 598, 74615, 8425, 627, 2746, 1070, 374, 912, 2410, 520, 279, 28087, 11, 279, 1529, 1223, 9048, 594, 1601, 374, 3958, 13, 1226, 10491, 311, 4358, 420, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 6685, 389, 420, 2199, 1606, 4184, 311, 828, 5108, 505, 5195, 2778, 4817, 11, 11699, 832, 315, 1690, 1948, 22359, 27573, 1401, 3492, 389, 279, 7757, 13, 5377, 449, 264, 16652, 477, 5507, 449, 264, 30293, 2678, 49770, 6964, 13, 1102, 374, 4920, 279, 17960, 5425, 927, 14019, 13, 578, 32802, 3830, 374, 7559, 4920, 264, 2678, 18698, 27442, 12466, 7090, 902, 374, 7559, 1070, 13, 1442, 701, 37105, 706, 1690, 2671, 1093, 264, 7160, 76736, 11, 10873, 11, 32813, 16712, 11, 5099, 11, 279, 810, 282, 4881, 433, 706, 13, 22559, 25, 9636, 279, 28314, 389, 279, 1314, 3185, 11983, 1455, 315, 279, 3544, 282, 4881, 627, 10596, 369, 4696, 264, 9518, 12466, 3830, 922, 220, 21, 12, 23, 15271, 1317, 323, 220, 19, 15271, 7029, 13, 2684, 374, 459, 93041, 11, 422, 5044, 17482, 757, 11, 499, 617, 311, 4148, 279, 1948, 22733, 323, 1120, 83842, 279, 5740, 13, 1442, 1070, 374, 912, 2410, 11, 279, 2585, 2010, 389, 279, 24858, 374, 3958, 13, 7817, 551, 40870, 18029, 37105, 64705, 21, 220, 1049, 20, 2001, 220, 1049, 21, 2001, 74615, 8425, 36361, 9156, 78901, 47031, 311, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 11, 2217, 1404, 220, 26491, 1630, 220, 23402, 17585, 11, 323, 311, 1684, 2217, 3649, 4587, 4299, 279, 2217, 13, 578, 2835, 3485, 5039, 1268, 311, 8454, 36574, 282, 4881, 304, 279, 15135, 32802, 3830, 315, 701, 220, 1049, 16, 40870, 18029, 37105, 304, 5369, 311, 279, 32802, 7090, 13861, 3813, 627, 791, 20124, 315, 279, 23738, 527, 23700, 389, 420, 3997, 13, 578, 11276, 690, 3136, 311, 1825, 439, 1317, 439, 279, 3480, 374, 17770, 11, 3156, 814, 527, 7373, 9107, 13, 5186, 220, 1114, 11, 220, 679, 20, 1102, 374, 17821, 430, 279, 14981, 11276, 527, 75754, 26214, 13, 1115, 8712, 374, 264, 2294, 3568, 315, 7931, 3411, 2930, 11, 9093, 584, 47376, 9364, 505, 5370, 57042, 5070, 323, 1101, 58389, 304, 872, 2115, 13, 5659, 279, 7314, 315, 40508, 2955, 1648, 1603, 279, 5008, 350, 11, 3673, 430, 1205, 21420, 2532, 2011, 387, 6847, 8813, 369, 14039, 13, 55518, 48953, 36361, 82, 9002, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 220, 1049, 18, 40870, 18029, 15757, 43813, 74615, 8425, 36361, 2001, 25736, 13545, 220, 1049, 18, 40870, 18029, 369, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 4567, 9730, 220, 1049, 19, 40870, 18029, 10517, 44394, 74615, 8425, 36361, 56795, 6957, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 28468, 74615, 19482, 36361, 1789, 220, 1049, 20, 40870, 18029, 37105, 2001, 20295, 7911, 9002, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 555, 4074, 627, 29986, 5042, 555, 4074, 449, 5887, 11, 220, 914, 220, 679, 17, 13, 578, 1529, 1223, 9048, 594, 1601, 374, 1314, 1828, 311, 279, 1529, 1223, 9048, 11, 1120, 311, 279, 2163, 3185, 323, 9017, 279, 14981, 13, 1102, 3250, 956, 13194, 323, 1193, 5097, 264, 2478, 4520, 13, 7648, 11731, 617, 264, 3215, 311, 11404, 279, 14981, 11276, 311, 5471, 2911, 505, 5737, 449, 1124, 13, 13440, 279, 8571, 4732, 374, 304, 17392, 477, 11630, 11, 279, 25753, 527, 17427, 555, 279, 1005, 315, 264, 1529, 1223, 9048, 594, 1601, 304, 3345, 37843, 311, 279, 1529, 1223, 9048, 627, 2181, 374, 5107, 311, 636, 311, 13, 7429, 11, 1070, 527, 2410, 282, 4881, 7559, 1234, 279, 28314, 304, 264, 3776, 32802, 7090, 439, 499, 1825, 279, 28314, 311, 279, 2163, 3185, 24023, 3185, 13, 1442, 832, 315, 279, 14365, 1587, 539, 1825, 11, 1070, 690, 387, 912, 8798, 13, 578, 282, 4881, 527, 369, 4395, 304, 279, 15135, 13, 358, 617, 3686, 311, 7216, 704, 1268, 311, 8454, 279, 75170, 2875, 315, 14713, 704, 279, 4156, 3857, 315, 279, 8798, 20858, 927, 279, 49480, 13961, 627, 56962, 311, 1505, 3630, 9002, 220, 1049, 18, 40870, 18029, 37105, 74615, 8425, 36361, 30, 4343, 369, 2410, 520, 279, 28087, 1418, 312, 3571, 287, 279, 59672, 389, 279, 2585, 7090, 13, 13309, 14467, 13709, 9640, 11, 18178, 11, 4848, 6690, 17867, 23146, 11, 1403, 31261, 23315, 13, 9934, 279, 96936, 311, 279, 43338, 6332, 34083, 13, 49484, 279, 8389, 14994, 311, 904, 12743, 9501, 2949, 279, 4817, 5196, 11, 387, 2771, 311, 2567, 279, 14994, 2867, 315, 904, 53779, 477, 7366, 5596, 13, 8612, 279, 74644, 961, 315, 279, 3480, 311, 1825, 279, 11276, 26, 2225, 11276, 690, 1825, 13, 55518, 48953, 36361, 82, 304, 220, 1049, 20, 40870, 18029, 37105, 74615, 8425, 36361, 8767, 9932, 374, 61336, 3515, 25, 2231, 709, 555, 5042, 4074, 449, 5887, 11, 220, 914, 220, 679, 17, 13, 32928, 279, 20314, 28087, 1022, 323, 2543, 389, 279, 60692, 1401, 13, 128001, -100, 3923, 374, 264, 31847, 30, 1102, 374, 459, 389, 279, 4272, 2532, 430, 58704, 828, 430, 1253, 2035, 701, 6223, 13827, 434, 520, 5326, 13, 18056, 701, 3566, 33957, 527, 5918, 311, 2567, 3839, 315, 701, 5820, 11, 814, 1253, 1524, 1457, 18623, 279, 27573, 311, 701, 6933, 2686, 13, 362, 31847, 2532, 6276, 499, 311, 5766, 5042, 1694, 34156, 555, 701, 7757, 3717, 9287, 13, 1442, 499, 1541, 1431, 1005, 264, 31847, 2027, 11, 499, 5326, 15061, 279, 311, 82, 315, 13335, 499, 733, 311, 627, 16179, 81694, 527, 12309, 57042, 11, 7170, 814, 4430, 2038, 9002, 701, 58840, 2212, 26870, 449, 4948, 9875, 13, 7570, 11201, 11, 814, 1253, 2543, 1139, 12697, 315, 21516, 1824, 6417, 24624, 323, 30485, 701, 879, 2038, 13, 30379, 430, 499, 387, 46878, 994, 3318, 449, 586, 17664, 27395, 13, 34711, 32638, 1253, 1304, 459, 5149, 311, 27669, 701, 2759, 3649, 11, 8323, 3649, 11, 477, 1524, 279, 9764, 13, 763, 1063, 14560, 4787, 11, 420, 649, 387, 54677, 13, 362, 31847, 374, 7995, 459, 7718, 2766, 315, 64241, 4868, 369, 701, 2626, 8871, 9476, 627, 13683, 48460, 9966, 701, 2930, 2237, 315, 12625, 13, 3277, 499, 4667, 311, 459, 653, 85408, 17664, 9314, 4009, 11, 701, 1866, 4443, 2038, 1253, 387, 15246, 13, 1472, 649, 1101, 5766, 31720, 701, 2759, 3649, 389, 653, 8890, 277, 59350, 17664, 27395, 6732, 555, 1701, 264, 31847, 13, 13440, 499, 3207, 58840, 279, 3566, 477, 52067, 449, 18570, 11, 264, 31847, 690, 3136, 701, 2038, 9966, 13, 1442, 499, 527, 11920, 922, 701, 6223, 13827, 434, 11, 264, 31847, 374, 279, 1888, 1749, 311, 2567, 433, 1093, 430, 627, 32, 31847, 36236, 3062, 6500, 828, 555, 30725, 287, 433, 4972, 311, 433, 11141, 701, 6500, 13, 3161, 704, 264, 31847, 11, 701, 6500, 828, 649, 387, 70474, 323, 270, 32077, 555, 21516, 99495, 82, 13, 1472, 649, 1101, 9903, 709, 5361, 54475, 520, 3131, 11, 323, 779, 264, 31847, 374, 7718, 422, 499, 6562, 311, 2567, 701, 13363, 6220, 13, 9176, 31847, 20972, 3085, 7447, 66707, 3788, 1129, 278, 354, 398, 6329, 916, 10991, 99949, 4791, 25700, 8437, 2973, 14271, 12, 9949, 34119, 2158, 3502, 1773, 10444, 87656, 55885, 14, 3504, 13, 2100, 1174, 49071, 682, 315, 701, 8316, 449, 264, 58229, 2759, 0, 15636, 1174, 1148, 7041, 374, 31847, 30, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 4438, 2057, 35106, 4206, 5422, 3277, 11070, 287, 1389, 89421, 511, 1147, 29030, 28275, 0, 320, 4518, 4497, 340, 8607, 1274, 7936, 311, 1418, 3201, 872, 892, 13, 4427, 39022, 527, 47880, 449, 279, 5845, 311, 7936, 304, 4832, 9846, 477, 1401, 13, 2030, 539, 682, 649, 7936, 389, 1401, 477, 4832, 9846, 13, 14968, 11, 499, 1288, 539, 11196, 422, 499, 4250, 7936, 389, 1401, 369, 499, 649, 1101, 4048, 420, 10151, 627, 6806, 1472, 649, 2274, 11, 369, 3187, 11, 279, 5845, 311, 617, 264, 27989, 2487, 369, 8554, 779, 430, 499, 649, 14268, 7936, 1124, 627, 6806, 11070, 287, 389, 1401, 11, 4869, 11, 374, 539, 1193, 264, 5030, 315, 4967, 701, 7899, 311, 7936, 304, 279, 1314, 9846, 13, 1102, 1101, 18065, 4967, 701, 2487, 311, 18885, 701, 11011, 13, 1102, 1101, 18065, 6975, 1268, 311, 10765, 8554, 627, 6806, 1666, 264, 50048, 11, 499, 4250, 30357, 6865, 6261, 994, 499, 7936, 13, 32140, 11, 499, 690, 1205, 4423, 311, 3371, 499, 3508, 499, 527, 20129, 279, 8554, 477, 539, 627, 6806, 1472, 649, 1101, 3335, 701, 7899, 779, 430, 499, 649, 617, 459, 16945, 1648, 315, 47614, 701, 7899, 627, 3923, 2209, 578, 33907, 28232, 46676, 1628, 5422, 5380, 6806, 46676, 19813, 311, 279, 5222, 11900, 430, 499, 477, 459, 14473, 8356, 13, 1102, 649, 387, 1579, 477, 3428, 13, 3277, 499, 7936, 11, 369, 3187, 11, 499, 7431, 701, 26480, 80717, 311, 11857, 5296, 34873, 627, 6806, 1472, 656, 420, 555, 20806, 3805, 1522, 3235, 701, 26480, 80717, 1418, 390, 6765, 287, 477, 34948, 701, 28691, 24569, 627, 6806, 1442, 499, 1390, 311, 8356, 4827, 8554, 11, 369, 3187, 11, 499, 6118, 83842, 279, 13957, 315, 701, 26480, 80717, 13, 14968, 11, 422, 499, 1390, 311, 733, 5190, 11, 499, 3881, 810, 13957, 311, 279, 6530, 315, 279, 3805, 627, 6806, 3277, 26139, 264, 5609, 11, 4869, 11, 499, 1205, 311, 23645, 279, 8554, 13, 1472, 1288, 1101, 10519, 264, 6555, 16630, 1418, 20958, 279, 1314, 892, 12223, 477, 18912, 627, 29356, 8467, 1789, 11070, 287, 763, 5422, 198, 2746, 499, 1390, 311, 7936, 304, 1401, 11, 499, 1288, 4048, 279, 2768, 5505, 12823, 512, 16, 13, 5560, 279, 56491, 311, 2175, 279, 10291, 5422, 198, 6806, 1666, 9932, 3485, 11, 6975, 1268, 311, 7936, 304, 1401, 1101, 7612, 499, 311, 2274, 279, 27989, 2136, 315, 701, 2487, 304, 86055, 8554, 627, 6806, 1666, 459, 10368, 11, 499, 1288, 1456, 311, 16420, 553, 279, 5222, 315, 1855, 5296, 13, 12362, 279, 27374, 11, 499, 649, 1243, 1514, 264, 5296, 2949, 701, 2134, 13, 9934, 311, 9020, 311, 433, 323, 6227, 279, 5222, 315, 279, 5296, 11, 25607, 279, 5439, 5296, 449, 1202, 5222, 627, 6806, 7199, 279, 5296, 264, 2478, 3115, 3156, 1202, 5222, 58052, 1139, 701, 84951, 4059, 13, 5112, 11, 1456, 311, 2854, 279, 5296, 27427, 275, 3210, 3156, 499, 16420, 553, 1268, 433, 10578, 627, 17, 13, 9934, 311, 65184, 4718, 11070, 287, 46676, 323, 328, 31296, 198, 6806, 1472, 649, 29166, 264, 17559, 5569, 311, 7417, 701, 9846, 18324, 323, 387, 3025, 311, 7936, 304, 1401, 13, 1472, 1253, 387, 11537, 449, 29505, 13, 362, 5569, 11, 315, 3388, 11, 19813, 311, 264, 50787, 315, 8554, 11, 2768, 264, 4040, 2015, 3196, 389, 9846, 627, 6806, 1102, 649, 387, 36488, 477, 44184, 13, 1472, 649, 1212, 449, 279, 356, 17559, 5569, 1606, 433, 1587, 539, 2586, 449, 61457, 323, 26708, 1725, 13, 1472, 649, 1101, 1456, 5737, 420, 5569, 389, 701, 14473, 627, 18, 13, 22991, 362, 5422, 3011, 435, 51585, 4718, 18955, 16842, 198, 6806, 362, 18273, 5296, 706, 1202, 26617, 5222, 4367, 13, 1115, 26617, 5222, 4367, 374, 2663, 1054, 20693, 21152, 2029, 362, 5296, 1253, 5222, 22009, 11911, 389, 902, 955, 315, 14473, 430, 19159, 433, 627, 6806, 9538, 21152, 19512, 21168, 1521, 4595, 315, 5222, 5788, 13, 9538, 21152, 1101, 8779, 24475, 33137, 279, 2592, 315, 279, 5222, 627, 6806, 14636, 11, 422, 499, 1390, 311, 7936, 389, 1401, 11, 499, 1205, 311, 5813, 279, 6935, 21152, 315, 701, 7899, 13, 20474, 430, 499, 649, 4933, 477, 4827, 279, 6935, 21152, 315, 701, 7899, 13, 14968, 11, 499, 1288, 5813, 701, 7899, 6935, 21152, 311, 1304, 433, 4228, 369, 499, 311, 7936, 304, 1401, 627, 19, 13, 33249, 2057, 4718, 29030, 198, 6806, 1472, 649, 2646, 11322, 4832, 9846, 422, 499, 656, 539, 6865, 6261, 13, 2100, 11, 832, 3245, 430, 9547, 1664, 994, 26139, 304, 4832, 9846, 374, 430, 315, 11011, 701, 7899, 13, 17586, 11011, 701, 7899, 11, 499, 690, 2646, 1440, 422, 499, 527, 389, 279, 1314, 9846, 627, 6806, 1472, 1205, 311, 7417, 279, 27989, 2136, 315, 701, 2487, 369, 1855, 5296, 13, 1472, 649, 656, 420, 555, 21760, 701, 11011, 389, 701, 52354, 753, 6278, 627, 6806, 4718, 7899, 11, 16038, 505, 5108, 704, 315, 701, 11013, 11, 1101, 29280, 988, 304, 701, 35113, 13, 2100, 11, 1701, 701, 6278, 52354, 11, 499, 649, 6865, 7041, 279, 5296, 499, 527, 20129, 627, 12947, 779, 1790, 369, 5403, 13, 18231, 499, 2751, 907, 505, 420, 4652, 627, 2675, 649, 4430, 477, 22114, 701, 4885, 311, 387, 33944, 2288, 13, 49633, 96, 31643, 198, 25696, 16666, 25, 84077, 857, 816, 13055, 1901, 14966, 128001 ]
[ -100, 4438, 2057, 35106, 4206, 5422, 3277, 11070, 287, 1389, 89421, 511, 1147, 29030, 28275, 0, 320, 4518, 4497, 340, 8607, 1274, 7936, 311, 1418, 3201, 872, 892, 13, 4427, 39022, 527, 47880, 449, 279, 5845, 311, 7936, 304, 4832, 9846, 477, 1401, 13, 2030, 539, 682, 649, 7936, 389, 1401, 477, 4832, 9846, 13, 14968, 11, 499, 1288, 539, 11196, 422, 499, 4250, 7936, 389, 1401, 369, 499, 649, 1101, 4048, 420, 10151, 627, 6806, 1472, 649, 2274, 11, 369, 3187, 11, 279, 5845, 311, 617, 264, 27989, 2487, 369, 8554, 779, 430, 499, 649, 14268, 7936, 1124, 627, 6806, 11070, 287, 389, 1401, 11, 4869, 11, 374, 539, 1193, 264, 5030, 315, 4967, 701, 7899, 311, 7936, 304, 279, 1314, 9846, 13, 1102, 1101, 18065, 4967, 701, 2487, 311, 18885, 701, 11011, 13, 1102, 1101, 18065, 6975, 1268, 311, 10765, 8554, 627, 6806, 1666, 264, 50048, 11, 499, 4250, 30357, 6865, 6261, 994, 499, 7936, 13, 32140, 11, 499, 690, 1205, 4423, 311, 3371, 499, 3508, 499, 527, 20129, 279, 8554, 477, 539, 627, 6806, 1472, 649, 1101, 3335, 701, 7899, 779, 430, 499, 649, 617, 459, 16945, 1648, 315, 47614, 701, 7899, 627, 3923, 2209, 578, 33907, 28232, 46676, 1628, 5422, 5380, 6806, 46676, 19813, 311, 279, 5222, 11900, 430, 499, 477, 459, 14473, 8356, 13, 1102, 649, 387, 1579, 477, 3428, 13, 3277, 499, 7936, 11, 369, 3187, 11, 499, 7431, 701, 26480, 80717, 311, 11857, 5296, 34873, 627, 6806, 1472, 656, 420, 555, 20806, 3805, 1522, 3235, 701, 26480, 80717, 1418, 390, 6765, 287, 477, 34948, 701, 28691, 24569, 627, 6806, 1442, 499, 1390, 311, 8356, 4827, 8554, 11, 369, 3187, 11, 499, 6118, 83842, 279, 13957, 315, 701, 26480, 80717, 13, 14968, 11, 422, 499, 1390, 311, 733, 5190, 11, 499, 3881, 810, 13957, 311, 279, 6530, 315, 279, 3805, 627, 6806, 3277, 26139, 264, 5609, 11, 4869, 11, 499, 1205, 311, 23645, 279, 8554, 13, 1472, 1288, 1101, 10519, 264, 6555, 16630, 1418, 20958, 279, 1314, 892, 12223, 477, 18912, 627, 29356, 8467, 1789, 11070, 287, 763, 5422, 198, 2746, 499, 1390, 311, 7936, 304, 1401, 11, 499, 1288, 4048, 279, 2768, 5505, 12823, 512, 16, 13, 5560, 279, 56491, 311, 2175, 279, 10291, 5422, 198, 6806, 1666, 9932, 3485, 11, 6975, 1268, 311, 7936, 304, 1401, 1101, 7612, 499, 311, 2274, 279, 27989, 2136, 315, 701, 2487, 304, 86055, 8554, 627, 6806, 1666, 459, 10368, 11, 499, 1288, 1456, 311, 16420, 553, 279, 5222, 315, 1855, 5296, 13, 12362, 279, 27374, 11, 499, 649, 1243, 1514, 264, 5296, 2949, 701, 2134, 13, 9934, 311, 9020, 311, 433, 323, 6227, 279, 5222, 315, 279, 5296, 11, 25607, 279, 5439, 5296, 449, 1202, 5222, 627, 6806, 7199, 279, 5296, 264, 2478, 3115, 3156, 1202, 5222, 58052, 1139, 701, 84951, 4059, 13, 5112, 11, 1456, 311, 2854, 279, 5296, 27427, 275, 3210, 3156, 499, 16420, 553, 1268, 433, 10578, 627, 17, 13, 9934, 311, 65184, 4718, 11070, 287, 46676, 323, 328, 31296, 198, 6806, 1472, 649, 29166, 264, 17559, 5569, 311, 7417, 701, 9846, 18324, 323, 387, 3025, 311, 7936, 304, 1401, 13, 1472, 1253, 387, 11537, 449, 29505, 13, 362, 5569, 11, 315, 3388, 11, 19813, 311, 264, 50787, 315, 8554, 11, 2768, 264, 4040, 2015, 3196, 389, 9846, 627, 6806, 1102, 649, 387, 36488, 477, 44184, 13, 1472, 649, 1212, 449, 279, 356, 17559, 5569, 1606, 433, 1587, 539, 2586, 449, 61457, 323, 26708, 1725, 13, 1472, 649, 1101, 1456, 5737, 420, 5569, 389, 701, 14473, 627, 18, 13, 22991, 362, 5422, 3011, 435, 51585, 4718, 18955, 16842, 198, 6806, 362, 18273, 5296, 706, 1202, 26617, 5222, 4367, 13, 1115, 26617, 5222, 4367, 374, 2663, 1054, 20693, 21152, 2029, 362, 5296, 1253, 5222, 22009, 11911, 389, 902, 955, 315, 14473, 430, 19159, 433, 627, 6806, 9538, 21152, 19512, 21168, 1521, 4595, 315, 5222, 5788, 13, 9538, 21152, 1101, 8779, 24475, 33137, 279, 2592, 315, 279, 5222, 627, 6806, 14636, 11, 422, 499, 1390, 311, 7936, 389, 1401, 11, 499, 1205, 311, 5813, 279, 6935, 21152, 315, 701, 7899, 13, 20474, 430, 499, 649, 4933, 477, 4827, 279, 6935, 21152, 315, 701, 7899, 13, 14968, 11, 499, 1288, 5813, 701, 7899, 6935, 21152, 311, 1304, 433, 4228, 369, 499, 311, 7936, 304, 1401, 627, 19, 13, 33249, 2057, 4718, 29030, 198, 6806, 1472, 649, 2646, 11322, 4832, 9846, 422, 499, 656, 539, 6865, 6261, 13, 2100, 11, 832, 3245, 430, 9547, 1664, 994, 26139, 304, 4832, 9846, 374, 430, 315, 11011, 701, 7899, 13, 17586, 11011, 701, 7899, 11, 499, 690, 2646, 1440, 422, 499, 527, 389, 279, 1314, 9846, 627, 6806, 1472, 1205, 311, 7417, 279, 27989, 2136, 315, 701, 2487, 369, 1855, 5296, 13, 1472, 649, 656, 420, 555, 21760, 701, 11011, 389, 701, 52354, 753, 6278, 627, 6806, 4718, 7899, 11, 16038, 505, 5108, 704, 315, 701, 11013, 11, 1101, 29280, 988, 304, 701, 35113, 13, 2100, 11, 1701, 701, 6278, 52354, 11, 499, 649, 6865, 7041, 279, 5296, 499, 527, 20129, 627, 12947, 779, 1790, 369, 5403, 13, 18231, 499, 2751, 907, 505, 420, 4652, 627, 2675, 649, 4430, 477, 22114, 701, 4885, 311, 387, 33944, 2288, 13, 49633, 96, 31643, 198, 25696, 16666, 25, 84077, 857, 816, 13055, 1901, 14966, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 40, 649, 390, 2407, 449, 701, 5224, 13, 358, 4070, 2744, 1027, 264, 7732, 45115, 7564, 7182, 13, 4800, 304, 856, 1866, 3838, 358, 1629, 264, 68510, 45115, 430, 374, 2307, 4335, 323, 33268, 13, 25450, 690, 387, 2294, 994, 433, 5334, 311, 279, 8824, 433, 3966, 719, 433, 2103, 706, 264, 1648, 311, 733, 13, 358, 1541, 1431, 2216, 1781, 499, 4805, 3596, 1518, 5933, 6962, 477, 11756, 323, 5707, 733, 3201, 13, 72047, 358, 1541, 1431, 12491, 11499, 2410, 11, 433, 753, 5128, 1790, 16058, 323, 2307, 11297, 11, 719, 449, 2574, 1093, 91759, 677, 4010, 323, 89839, 358, 649, 1518, 32538, 65437, 449, 433, 13, 2030, 1427, 520, 279, 57907, 34757, 2212, 279, 1917, 323, 3371, 757, 433, 753, 539, 459, 27250, 38911, 13, 3277, 358, 574, 264, 8334, 11, 856, 18233, 6575, 389, 279, 23947, 3090, 4156, 369, 88783, 753, 323, 358, 649, 6227, 42200, 1555, 279, 11756, 430, 1053, 4498, 927, 279, 14509, 30740, 555, 279, 5569, 3838, 311, 1456, 323, 1505, 264, 22996, 13, 358, 649, 6227, 11961, 704, 872, 449, 3450, 323, 10307, 279, 11756, 16174, 11722, 2212, 994, 279, 6117, 388, 1053, 733, 927, 433, 13, 15037, 3131, 3463, 3131, 922, 433, 1243, 13, 128001, 128000, 12755, 4320, 25, 358, 1781, 433, 1053, 1520, 11, 323, 433, 596, 3428, 5326, 13, 4815, 6720, 4320, 374, 1317, 1473, 33, 97201, 652, 290, 3185, 6372, 11383, 2997, 83511, 11, 18547, 11, 11293, 38575, 13, 1102, 374, 71249, 264, 2204, 5623, 5699, 7863, 311, 96404, 3957, 323, 1587, 539, 10137, 10269, 7958, 11, 459, 42109, 21947, 11, 477, 18679, 4403, 45980, 4090, 28439, 13, 1102, 1101, 37350, 304, 2949, 2919, 11, 539, 5672, 320, 1242, 49, 3957, 649, 1935, 220, 21, 5672, 311, 10536, 304, 705, 779, 499, 1436, 1296, 433, 704, 2949, 832, 2046, 315, 12588, 264, 22866, 13, 4815, 33, 97201, 652, 290, 374, 32654, 539, 264, 12936, 69733, 719, 25949, 1063, 315, 279, 1890, 30828, 44014, 312, 25, 308, 461, 39138, 764, 40101, 323, 66128, 13, 1102, 1587, 539, 8346, 279, 85492, 88, 4907, 13270, 315, 1008, 71970, 483, 11, 1645, 87348, 331, 22671, 11, 477, 79492, 13, 2684, 596, 1101, 6435, 4984, 2671, 779, 433, 596, 29759, 682, 1938, 13, 1102, 596, 1648, 296, 21439, 1109, 49750, 382, 2181, 596, 5922, 48569, 2785, 323, 3411, 709, 44122, 6821, 389, 43274, 13, 4815, 2688, 2771, 1268, 1690, 46876, 95059, 690, 72333, 433, 369, 7392, 32403, 11, 719, 433, 596, 279, 5410, 6514, 369, 36899, 7958, 535, 19823, 11, 902, 37350, 304, 420, 892, 315, 1060, 369, 1690, 1274, 13, 128001, 128000, 29815, 389, 279, 1510, 1614, 315, 586, 6873, 11, 323, 279, 2144, 430, 1690, 34375, 1862, 38124, 11, 879, 11, 323, 2162, 68721, 11, 358, 1541, 956, 1440, 422, 430, 596, 14647, 279, 12593, 499, 4265, 1390, 311, 1304, 382, 3947, 527, 12387, 15692, 6105, 9002, 549, 23263, 13, 5810, 527, 264, 2478, 10507, 11, 719, 358, 2846, 2771, 1070, 527, 4762, 810, 1473, 8538, 1274, 11, 3196, 389, 17966, 11, 1541, 956, 1390, 279, 3109, 7982, 11493, 323, 810, 86010, 304, 459, 3158, 1405, 279, 879, 10706, 11, 23693, 11351, 11, 5099, 13, 1436, 63234, 990, 4619, 382, 8538, 1053, 18046, 430, 961, 315, 279, 2944, 2890, 2512, 7194, 527, 779, 1579, 374, 1606, 315, 279, 17235, 13318, 22941, 8396, 584, 3974, 304, 11, 449, 16410, 3515, 311, 709, 872, 7969, 311, 3504, 8811, 60621, 8349, 11, 2225, 23583, 323, 54983, 13, 549, 23263, 11, 555, 7231, 810, 1274, 2680, 311, 18985, 11, 719, 22109, 311, 2686, 420, 13042, 4360, 11, 1436, 63234, 1304, 2574, 11201, 304, 430, 5363, 382, 8538, 1541, 956, 1093, 279, 4040, 1376, 315, 549, 23263, 279, 4900, 706, 12146, 12, 902, 706, 2753, 315, 264, 3839, 3335, 1109, 11, 2019, 11, 279, 426, 2191, 847, 477, 11579, 393, 1155, 6067, 11, 323, 36659, 41859, 902, 1023, 1778, 6067, 2686, 382, 8538, 1541, 956, 1781, 433, 374, 264, 1695, 4623, 311, 387, 7915, 10831, 264, 502, 3109, 2068, 315, 420, 7036, 1418, 584, 527, 39075, 330, 258, 279, 2579, 3343, 1102, 690, 1935, 1063, 892, 369, 549, 23263, 311, 1212, 3604, 14324, 603, 3300, 6296, 13, 54824, 603, 11, 323, 422, 2391, 430, 41653, 584, 527, 4295, 449, 264, 2033, 24522, 304, 279, 39621, 11, 264, 38201, 69756, 2237, 5933, 21426, 11, 636, 77836, 291, 304, 2500, 4208, 11, 5099, 12898, 39075, 12365, 11, 584, 1436, 387, 304, 264, 3958, 1648, 13, 128001, 128000, 2460, 2411, 78140, 268, 454, 13075, 372, 11, 1101, 17037, 3967, 439, 921, 1924, 11, 374, 459, 67740, 9606, 315, 279, 2052, 2411, 64677, 11699, 3345, 29658, 2997, 279, 31735, 11, 4985, 354, 11, 514, 1247, 11, 1156, 543, 290, 11, 323, 8620, 38427, 627, 32, 74718, 6136, 11, 433, 374, 24716, 304, 7138, 4028, 1790, 315, 4606, 11, 13936, 11, 323, 4892, 5270, 13, 362, 13, 78140, 268, 454, 13075, 372, 374, 279, 1193, 9606, 315, 2052, 2411, 10068, 311, 2225, 279, 1561, 323, 279, 10846, 52947, 627, 791, 836, 315, 279, 9606, 75549, 505, 279, 18341, 1940, 6292, 25196, 437, 320, 82, 7334, 8, 323, 11, 550, 1525, 320, 273, 1247, 570, 11699, 6498, 836, 11, 523, 1924, 11, 75549, 505, 279, 8753, 3492, 272, 535, 11, 505, 63190, 64, 11, 279, 20023, 3492, 369, 38427, 627, 1163, 1924, 527, 264, 17037, 1511, 39999, 323, 649, 387, 1766, 304, 30687, 10756, 477, 15042, 304, 2162, 36536, 13, 763, 58441, 1005, 11, 279, 1156, 9521, 323, 279, 653, 57228, 11, 86525, 23153, 68543, 527, 89964, 323, 1511, 439, 459, 25795, 369, 7795, 11, 35267, 11, 5945, 1725, 11, 323, 1023, 26863, 13, 921, 1924, 617, 27080, 5621, 79, 6427, 6012, 430, 649, 387, 1511, 304, 36536, 311, 2585, 76056, 627, 791, 58041, 6012, 315, 523, 1924, 527, 4528, 311, 1884, 315, 31735, 11, 719, 43383, 26, 279, 38678, 6372, 304, 12593, 449, 31735, 527, 4762, 279, 1925, 2944, 369, 872, 7347, 1005, 439, 264, 58041, 39999, 13, 2435, 1101, 617, 23900, 12936, 69733, 11, 1891, 554, 29150, 11, 323, 3276, 1082, 27330, 6012, 13, 1666, 523, 1924, 527, 6118, 10434, 304, 2678, 15055, 323, 2646, 439, 279, 1925, 12269, 11, 8389, 6372, 527, 19029, 23926, 11, 8051, 60071, 5435, 1253, 12446, 2768, 927, 15652, 13, 128001, 128000, 27414, 10170, 11, 9983, 19241, 11, 11346, 612, 80235, 1233, 22666, 6498, 11688, 1234, 356, 2152, 19365, 2564, 40388, 320, 356, 2152, 8, 5497, 3984, 555, 22024, 937, 13, 75208, 362, 15325, 323, 1523, 311, 9578, 5603, 449, 7185, 8970, 7, 2225, 1495, 323, 45543, 4390, 17, 14758, 14220, 48198, 96424, 220, 16, 482, 220, 18, 482, 22024, 937, 198, 1395, 22034, 555, 279, 2978, 311, 682, 4236, 889, 5946, 538, 1630, 22024, 937, 24481, 13, 1115, 16125, 574, 2564, 31909, 5817, 337, 5174, 5789, 11, 1080, 1355, 331, 337, 5174, 5789, 1051, 5343, 304, 356, 2152, 369, 15813, 927, 264, 19815, 68229, 56064, 482, 64046, 4477, 11, 4068, 5548, 389, 279, 1495, 13, 2684, 1436, 387, 264, 2564, 22854, 22581, 11, 8267, 7177, 1701, 8871, 12515, 18, 885, 33, 3740, 2326, 482, 7839, 29872, 72714, 198, 782, 1325, 287, 1495, 449, 8071, 84424, 45543, 311, 1304, 433, 4228, 369, 4236, 2564, 449, 2930, 23738, 11, 220, 18, 22145, 11259, 23621, 11, 220, 18, 14713, 2564, 17978, 12, 17, 320, 34, 2152, 5497, 8, 9817, 45539, 8554, 22024, 937, 1620, 24481, 3488, 68229, 220, 21, 9983, 10170, 320, 9688, 5814, 612, 80235, 1233, 883, 12515, 38318, 682, 279, 1520, 2631, 311, 3663, 279, 11774, 315, 304, 3395, 66, 1113, 356, 2152, 304, 279, 2564, 279, 22024, 937, 69570, 8789, 11, 2564, 350, 30260, 323, 50189, 22755, 5594, 2490, 11, 45319, 323, 9115, 954, 22666, 51762, 369, 12088, 52090, 326, 311, 4072, 4028, 682, 8925, 12912, 18312, 220, 16, 311, 426, 30169, 596, 18312, 220, 16, 311, 469, 68229, 4228, 4791, 25700, 13, 656, 38611, 53246, 726, 2930, 3997, 4857, 6425, 12515, 1073, 53243, 1603, 279, 8292, 315, 356, 2152, 320, 95880, 323, 13, 67963, 40388, 8, 11784, 555, 279, 22024, 937, 13, 435, 87595, 389, 38656, 304, 48709, 12515, 21, 815, 2184, 6017, 13321, 2958, 6287, 20024, 414, 13155, 558, 2329, 198, 1382, 2930, 520, 8604, 56840, 14024, 485, 689, 2726, 13, 220, 17, 2564, 12639, 1725, 304, 4212, 25, 362, 2991, 2239, 369, 19845, 937, 11346, 323, 80235, 1233, 2564, 48198, 426, 14861, 62631, 323, 63823, 11, 28730, 323, 45241, 11, 2564, 19411, 6945, 6603, 26, 264, 8335, 315, 2204, 1495, 4595, 323, 36744, 11, 2737, 68229, 578, 23783, 320, 258, 18312, 220, 21, 1389, 220, 23, 8, 26965, 311, 279, 17959, 315, 279, 22024, 937, 369, 35321, 12515, 22, 23208, 1428, 52960, 3680, 11052, 50, 220, 17, 13, 20, 198, 10655, 389, 8614, 11, 37545, 8, 4529, 994, 279, 9322, 374, 5644, 26, 4856, 1109, 520, 279, 19679, 315, 279, 1887, 13, 2564, 10913, 8925, 315, 44634, 11930, 320, 13276, 937, 570, 220, 17, 11, 12332, 22666, 6118, 50350, 505, 264, 3254, 1495, 13, 68229, 3488, 4691, 304, 264, 220, 605, 339, 12239, 11346, 323, 80235, 1233, 5684, 13, 22666, 14407, 304, 279, 3857, 389, 356, 2152, 323, 13, 30169, 2564, 128001, 128000, 10614, 315, 64935, 512, 12, 1556, 1180, 315, 653, 15674, 2136, 26, 264, 834, 75060, 627, 12, 3011, 902, 12716, 12269, 55137, 26, 5353, 315, 21648, 477, 53823, 613, 26, 2294, 88119, 26, 439, 11, 17192, 374, 264, 64935, 311, 264, 25442, 1694, 627, 12, 578, 3044, 315, 1694, 704, 315, 4799, 26, 4814, 315, 4799, 11, 5363, 11, 477, 5201, 627, 12, 578, 1614, 315, 1694, 12269, 263, 3093, 11, 477, 9960, 449, 21648, 26, 12269, 55137, 26, 21648, 26, 5335, 316, 6577, 627, 12, 2057, 656, 834, 75060, 311, 26, 311, 4546, 53823, 613, 477, 21648, 5304, 26, 311, 12269, 55137, 26, 311, 4322, 477, 3504, 449, 5335, 316, 6577, 26, 311, 4827, 304, 42304, 627, 12, 2057, 2231, 704, 4799, 26, 311, 13738, 449, 12269, 55137, 627, 12, 2057, 4322, 34293, 668, 7162, 26, 311, 709, 65, 14152, 26, 311, 5891, 458, 627, 27369, 11, 743, 1523, 11, 11018, 2411, 11, 3958, 836, 11, 436, 521, 11, 19868, 11, 32643, 11, 1095, 1523, 11, 7858, 11, 687, 372, 989, 11, 5296, 11, 3810, 11, 1651, 1673, 11, 57309, 11, 87580, 819, 11, 17199, 11, 84671, 11, 2035, 1523, 11, 85597, 11, 6068, 11, 293, 3516, 819, 11, 539, 13915, 2676, 11, 834, 16082, 65, 367, 11, 88119, 11, 5986, 312, 8660, 11, 834, 265, 8660, 11, 259, 1673, 11, 43643, 819, 11, 2237, 11, 26681, 11, 30229, 11, 6883, 11, 12269, 263, 414, 11, 53823, 613, 11, 11965, 11, 2109, 974, 11, 4827, 11, 3350, 1523, 11, 12269, 55137, 11, 29488, 11, 21948, 11, 61552, 11, 60381, 11, 99558, 11, 39612, 11, 6445, 1523, 11, 58043, 11, 11457, 2786, 11, 6807, 11, 834, 9978, 19704, 11, 5201, 11, 3958, 54097, 11, 636, 1523, 11, 6958, 1523, 11, 81982, 11, 12136, 268, 11, 16044, 11, 8275, 11, 11203, 11, 834, 55539, 11, 22519, 11, 63814, 11, 834, 64717, 11, 7066, 11, 4546, 3428, 11, 18036, 1523, 11, 13535, 79, 3993, 11, 4225, 27322, 11, 53568, 11, 409, 3231, 11, 2231, 15220, 11, 96630, 11, 3335, 11, 4546, 1523, 11, 1536, 385, 447, 88, 11, 436, 10033, 11, 95158, 11, 757, 83133, 11, 11737, 11, 53064, 11, 98025, 2968, 11, 4363, 11, 25793, 11, 671, 300, 1133, 11, 4083, 23576, 41552, 11, 6068, 1022, 11, 1935, 1523, 11, 5335, 316, 6577, 11, 834, 75060, 11, 41587, 11, 39300, 11, 21648, 627, 12, 671, 521, 320, 4581, 315, 8982, 25, 19120, 340, 12, 94847, 320, 4581, 315, 8982, 25, 38021, 340, 12, 21648, 320, 4581, 315, 8982, 25, 19120, 340, 12, 14289, 320, 4581, 315, 8982, 25, 38021, 340, 12, 330, 2127, 29459, 304, 24845, 498, 37485, 1157, 24881, 337, 833, 2005, 627, 12, 330, 2169, 332, 1132, 596, 40495, 20880, 14767, 10684, 1856, 332, 1132, 627, 12, 330, 791, 47199, 315, 12656, 76279, 498, 18083, 13, 72025, 894, 27738, 13, 128001 ]
[ -100, 40, 649, 390, 2407, 449, 701, 5224, 13, 358, 4070, 2744, 1027, 264, 7732, 45115, 7564, 7182, 13, 4800, 304, 856, 1866, 3838, 358, 1629, 264, 68510, 45115, 430, 374, 2307, 4335, 323, 33268, 13, 25450, 690, 387, 2294, 994, 433, 5334, 311, 279, 8824, 433, 3966, 719, 433, 2103, 706, 264, 1648, 311, 733, 13, 358, 1541, 1431, 2216, 1781, 499, 4805, 3596, 1518, 5933, 6962, 477, 11756, 323, 5707, 733, 3201, 13, 72047, 358, 1541, 1431, 12491, 11499, 2410, 11, 433, 753, 5128, 1790, 16058, 323, 2307, 11297, 11, 719, 449, 2574, 1093, 91759, 677, 4010, 323, 89839, 358, 649, 1518, 32538, 65437, 449, 433, 13, 2030, 1427, 520, 279, 57907, 34757, 2212, 279, 1917, 323, 3371, 757, 433, 753, 539, 459, 27250, 38911, 13, 3277, 358, 574, 264, 8334, 11, 856, 18233, 6575, 389, 279, 23947, 3090, 4156, 369, 88783, 753, 323, 358, 649, 6227, 42200, 1555, 279, 11756, 430, 1053, 4498, 927, 279, 14509, 30740, 555, 279, 5569, 3838, 311, 1456, 323, 1505, 264, 22996, 13, 358, 649, 6227, 11961, 704, 872, 449, 3450, 323, 10307, 279, 11756, 16174, 11722, 2212, 994, 279, 6117, 388, 1053, 733, 927, 433, 13, 15037, 3131, 3463, 3131, 922, 433, 1243, 13, 128001, -100, 12755, 4320, 25, 358, 1781, 433, 1053, 1520, 11, 323, 433, 596, 3428, 5326, 13, 4815, 6720, 4320, 374, 1317, 1473, 33, 97201, 652, 290, 3185, 6372, 11383, 2997, 83511, 11, 18547, 11, 11293, 38575, 13, 1102, 374, 71249, 264, 2204, 5623, 5699, 7863, 311, 96404, 3957, 323, 1587, 539, 10137, 10269, 7958, 11, 459, 42109, 21947, 11, 477, 18679, 4403, 45980, 4090, 28439, 13, 1102, 1101, 37350, 304, 2949, 2919, 11, 539, 5672, 320, 1242, 49, 3957, 649, 1935, 220, 21, 5672, 311, 10536, 304, 705, 779, 499, 1436, 1296, 433, 704, 2949, 832, 2046, 315, 12588, 264, 22866, 13, 4815, 33, 97201, 652, 290, 374, 32654, 539, 264, 12936, 69733, 719, 25949, 1063, 315, 279, 1890, 30828, 44014, 312, 25, 308, 461, 39138, 764, 40101, 323, 66128, 13, 1102, 1587, 539, 8346, 279, 85492, 88, 4907, 13270, 315, 1008, 71970, 483, 11, 1645, 87348, 331, 22671, 11, 477, 79492, 13, 2684, 596, 1101, 6435, 4984, 2671, 779, 433, 596, 29759, 682, 1938, 13, 1102, 596, 1648, 296, 21439, 1109, 49750, 382, 2181, 596, 5922, 48569, 2785, 323, 3411, 709, 44122, 6821, 389, 43274, 13, 4815, 2688, 2771, 1268, 1690, 46876, 95059, 690, 72333, 433, 369, 7392, 32403, 11, 719, 433, 596, 279, 5410, 6514, 369, 36899, 7958, 535, 19823, 11, 902, 37350, 304, 420, 892, 315, 1060, 369, 1690, 1274, 13, 128001, -100, 29815, 389, 279, 1510, 1614, 315, 586, 6873, 11, 323, 279, 2144, 430, 1690, 34375, 1862, 38124, 11, 879, 11, 323, 2162, 68721, 11, 358, 1541, 956, 1440, 422, 430, 596, 14647, 279, 12593, 499, 4265, 1390, 311, 1304, 382, 3947, 527, 12387, 15692, 6105, 9002, 549, 23263, 13, 5810, 527, 264, 2478, 10507, 11, 719, 358, 2846, 2771, 1070, 527, 4762, 810, 1473, 8538, 1274, 11, 3196, 389, 17966, 11, 1541, 956, 1390, 279, 3109, 7982, 11493, 323, 810, 86010, 304, 459, 3158, 1405, 279, 879, 10706, 11, 23693, 11351, 11, 5099, 13, 1436, 63234, 990, 4619, 382, 8538, 1053, 18046, 430, 961, 315, 279, 2944, 2890, 2512, 7194, 527, 779, 1579, 374, 1606, 315, 279, 17235, 13318, 22941, 8396, 584, 3974, 304, 11, 449, 16410, 3515, 311, 709, 872, 7969, 311, 3504, 8811, 60621, 8349, 11, 2225, 23583, 323, 54983, 13, 549, 23263, 11, 555, 7231, 810, 1274, 2680, 311, 18985, 11, 719, 22109, 311, 2686, 420, 13042, 4360, 11, 1436, 63234, 1304, 2574, 11201, 304, 430, 5363, 382, 8538, 1541, 956, 1093, 279, 4040, 1376, 315, 549, 23263, 279, 4900, 706, 12146, 12, 902, 706, 2753, 315, 264, 3839, 3335, 1109, 11, 2019, 11, 279, 426, 2191, 847, 477, 11579, 393, 1155, 6067, 11, 323, 36659, 41859, 902, 1023, 1778, 6067, 2686, 382, 8538, 1541, 956, 1781, 433, 374, 264, 1695, 4623, 311, 387, 7915, 10831, 264, 502, 3109, 2068, 315, 420, 7036, 1418, 584, 527, 39075, 330, 258, 279, 2579, 3343, 1102, 690, 1935, 1063, 892, 369, 549, 23263, 311, 1212, 3604, 14324, 603, 3300, 6296, 13, 54824, 603, 11, 323, 422, 2391, 430, 41653, 584, 527, 4295, 449, 264, 2033, 24522, 304, 279, 39621, 11, 264, 38201, 69756, 2237, 5933, 21426, 11, 636, 77836, 291, 304, 2500, 4208, 11, 5099, 12898, 39075, 12365, 11, 584, 1436, 387, 304, 264, 3958, 1648, 13, 128001, -100, 2460, 2411, 78140, 268, 454, 13075, 372, 11, 1101, 17037, 3967, 439, 921, 1924, 11, 374, 459, 67740, 9606, 315, 279, 2052, 2411, 64677, 11699, 3345, 29658, 2997, 279, 31735, 11, 4985, 354, 11, 514, 1247, 11, 1156, 543, 290, 11, 323, 8620, 38427, 627, 32, 74718, 6136, 11, 433, 374, 24716, 304, 7138, 4028, 1790, 315, 4606, 11, 13936, 11, 323, 4892, 5270, 13, 362, 13, 78140, 268, 454, 13075, 372, 374, 279, 1193, 9606, 315, 2052, 2411, 10068, 311, 2225, 279, 1561, 323, 279, 10846, 52947, 627, 791, 836, 315, 279, 9606, 75549, 505, 279, 18341, 1940, 6292, 25196, 437, 320, 82, 7334, 8, 323, 11, 550, 1525, 320, 273, 1247, 570, 11699, 6498, 836, 11, 523, 1924, 11, 75549, 505, 279, 8753, 3492, 272, 535, 11, 505, 63190, 64, 11, 279, 20023, 3492, 369, 38427, 627, 1163, 1924, 527, 264, 17037, 1511, 39999, 323, 649, 387, 1766, 304, 30687, 10756, 477, 15042, 304, 2162, 36536, 13, 763, 58441, 1005, 11, 279, 1156, 9521, 323, 279, 653, 57228, 11, 86525, 23153, 68543, 527, 89964, 323, 1511, 439, 459, 25795, 369, 7795, 11, 35267, 11, 5945, 1725, 11, 323, 1023, 26863, 13, 921, 1924, 617, 27080, 5621, 79, 6427, 6012, 430, 649, 387, 1511, 304, 36536, 311, 2585, 76056, 627, 791, 58041, 6012, 315, 523, 1924, 527, 4528, 311, 1884, 315, 31735, 11, 719, 43383, 26, 279, 38678, 6372, 304, 12593, 449, 31735, 527, 4762, 279, 1925, 2944, 369, 872, 7347, 1005, 439, 264, 58041, 39999, 13, 2435, 1101, 617, 23900, 12936, 69733, 11, 1891, 554, 29150, 11, 323, 3276, 1082, 27330, 6012, 13, 1666, 523, 1924, 527, 6118, 10434, 304, 2678, 15055, 323, 2646, 439, 279, 1925, 12269, 11, 8389, 6372, 527, 19029, 23926, 11, 8051, 60071, 5435, 1253, 12446, 2768, 927, 15652, 13, 128001, -100, 27414, 10170, 11, 9983, 19241, 11, 11346, 612, 80235, 1233, 22666, 6498, 11688, 1234, 356, 2152, 19365, 2564, 40388, 320, 356, 2152, 8, 5497, 3984, 555, 22024, 937, 13, 75208, 362, 15325, 323, 1523, 311, 9578, 5603, 449, 7185, 8970, 7, 2225, 1495, 323, 45543, 4390, 17, 14758, 14220, 48198, 96424, 220, 16, 482, 220, 18, 482, 22024, 937, 198, 1395, 22034, 555, 279, 2978, 311, 682, 4236, 889, 5946, 538, 1630, 22024, 937, 24481, 13, 1115, 16125, 574, 2564, 31909, 5817, 337, 5174, 5789, 11, 1080, 1355, 331, 337, 5174, 5789, 1051, 5343, 304, 356, 2152, 369, 15813, 927, 264, 19815, 68229, 56064, 482, 64046, 4477, 11, 4068, 5548, 389, 279, 1495, 13, 2684, 1436, 387, 264, 2564, 22854, 22581, 11, 8267, 7177, 1701, 8871, 12515, 18, 885, 33, 3740, 2326, 482, 7839, 29872, 72714, 198, 782, 1325, 287, 1495, 449, 8071, 84424, 45543, 311, 1304, 433, 4228, 369, 4236, 2564, 449, 2930, 23738, 11, 220, 18, 22145, 11259, 23621, 11, 220, 18, 14713, 2564, 17978, 12, 17, 320, 34, 2152, 5497, 8, 9817, 45539, 8554, 22024, 937, 1620, 24481, 3488, 68229, 220, 21, 9983, 10170, 320, 9688, 5814, 612, 80235, 1233, 883, 12515, 38318, 682, 279, 1520, 2631, 311, 3663, 279, 11774, 315, 304, 3395, 66, 1113, 356, 2152, 304, 279, 2564, 279, 22024, 937, 69570, 8789, 11, 2564, 350, 30260, 323, 50189, 22755, 5594, 2490, 11, 45319, 323, 9115, 954, 22666, 51762, 369, 12088, 52090, 326, 311, 4072, 4028, 682, 8925, 12912, 18312, 220, 16, 311, 426, 30169, 596, 18312, 220, 16, 311, 469, 68229, 4228, 4791, 25700, 13, 656, 38611, 53246, 726, 2930, 3997, 4857, 6425, 12515, 1073, 53243, 1603, 279, 8292, 315, 356, 2152, 320, 95880, 323, 13, 67963, 40388, 8, 11784, 555, 279, 22024, 937, 13, 435, 87595, 389, 38656, 304, 48709, 12515, 21, 815, 2184, 6017, 13321, 2958, 6287, 20024, 414, 13155, 558, 2329, 198, 1382, 2930, 520, 8604, 56840, 14024, 485, 689, 2726, 13, 220, 17, 2564, 12639, 1725, 304, 4212, 25, 362, 2991, 2239, 369, 19845, 937, 11346, 323, 80235, 1233, 2564, 48198, 426, 14861, 62631, 323, 63823, 11, 28730, 323, 45241, 11, 2564, 19411, 6945, 6603, 26, 264, 8335, 315, 2204, 1495, 4595, 323, 36744, 11, 2737, 68229, 578, 23783, 320, 258, 18312, 220, 21, 1389, 220, 23, 8, 26965, 311, 279, 17959, 315, 279, 22024, 937, 369, 35321, 12515, 22, 23208, 1428, 52960, 3680, 11052, 50, 220, 17, 13, 20, 198, 10655, 389, 8614, 11, 37545, 8, 4529, 994, 279, 9322, 374, 5644, 26, 4856, 1109, 520, 279, 19679, 315, 279, 1887, 13, 2564, 10913, 8925, 315, 44634, 11930, 320, 13276, 937, 570, 220, 17, 11, 12332, 22666, 6118, 50350, 505, 264, 3254, 1495, 13, 68229, 3488, 4691, 304, 264, 220, 605, 339, 12239, 11346, 323, 80235, 1233, 5684, 13, 22666, 14407, 304, 279, 3857, 389, 356, 2152, 323, 13, 30169, 2564, 128001, -100, 10614, 315, 64935, 512, 12, 1556, 1180, 315, 653, 15674, 2136, 26, 264, 834, 75060, 627, 12, 3011, 902, 12716, 12269, 55137, 26, 5353, 315, 21648, 477, 53823, 613, 26, 2294, 88119, 26, 439, 11, 17192, 374, 264, 64935, 311, 264, 25442, 1694, 627, 12, 578, 3044, 315, 1694, 704, 315, 4799, 26, 4814, 315, 4799, 11, 5363, 11, 477, 5201, 627, 12, 578, 1614, 315, 1694, 12269, 263, 3093, 11, 477, 9960, 449, 21648, 26, 12269, 55137, 26, 21648, 26, 5335, 316, 6577, 627, 12, 2057, 656, 834, 75060, 311, 26, 311, 4546, 53823, 613, 477, 21648, 5304, 26, 311, 12269, 55137, 26, 311, 4322, 477, 3504, 449, 5335, 316, 6577, 26, 311, 4827, 304, 42304, 627, 12, 2057, 2231, 704, 4799, 26, 311, 13738, 449, 12269, 55137, 627, 12, 2057, 4322, 34293, 668, 7162, 26, 311, 709, 65, 14152, 26, 311, 5891, 458, 627, 27369, 11, 743, 1523, 11, 11018, 2411, 11, 3958, 836, 11, 436, 521, 11, 19868, 11, 32643, 11, 1095, 1523, 11, 7858, 11, 687, 372, 989, 11, 5296, 11, 3810, 11, 1651, 1673, 11, 57309, 11, 87580, 819, 11, 17199, 11, 84671, 11, 2035, 1523, 11, 85597, 11, 6068, 11, 293, 3516, 819, 11, 539, 13915, 2676, 11, 834, 16082, 65, 367, 11, 88119, 11, 5986, 312, 8660, 11, 834, 265, 8660, 11, 259, 1673, 11, 43643, 819, 11, 2237, 11, 26681, 11, 30229, 11, 6883, 11, 12269, 263, 414, 11, 53823, 613, 11, 11965, 11, 2109, 974, 11, 4827, 11, 3350, 1523, 11, 12269, 55137, 11, 29488, 11, 21948, 11, 61552, 11, 60381, 11, 99558, 11, 39612, 11, 6445, 1523, 11, 58043, 11, 11457, 2786, 11, 6807, 11, 834, 9978, 19704, 11, 5201, 11, 3958, 54097, 11, 636, 1523, 11, 6958, 1523, 11, 81982, 11, 12136, 268, 11, 16044, 11, 8275, 11, 11203, 11, 834, 55539, 11, 22519, 11, 63814, 11, 834, 64717, 11, 7066, 11, 4546, 3428, 11, 18036, 1523, 11, 13535, 79, 3993, 11, 4225, 27322, 11, 53568, 11, 409, 3231, 11, 2231, 15220, 11, 96630, 11, 3335, 11, 4546, 1523, 11, 1536, 385, 447, 88, 11, 436, 10033, 11, 95158, 11, 757, 83133, 11, 11737, 11, 53064, 11, 98025, 2968, 11, 4363, 11, 25793, 11, 671, 300, 1133, 11, 4083, 23576, 41552, 11, 6068, 1022, 11, 1935, 1523, 11, 5335, 316, 6577, 11, 834, 75060, 11, 41587, 11, 39300, 11, 21648, 627, 12, 671, 521, 320, 4581, 315, 8982, 25, 19120, 340, 12, 94847, 320, 4581, 315, 8982, 25, 38021, 340, 12, 21648, 320, 4581, 315, 8982, 25, 19120, 340, 12, 14289, 320, 4581, 315, 8982, 25, 38021, 340, 12, 330, 2127, 29459, 304, 24845, 498, 37485, 1157, 24881, 337, 833, 2005, 627, 12, 330, 2169, 332, 1132, 596, 40495, 20880, 14767, 10684, 1856, 332, 1132, 627, 12, 330, 791, 47199, 315, 12656, 76279, 498, 18083, 13, 72025, 894, 27738, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 27, 17869, 24638, 29, 12340, 220, 20, 198, 4, 1580, 90, 8859, 25, 364, 268, 6, 457, 220, 1034, 2025, 198, 262, 1034, 2150, 6146, 2927, 64894, 412, 198, 262, 1034, 5607, 90, 11878, 25, 364, 4867, 12, 23, 6, 457, 262, 1034, 5607, 90, 364, 1277, 23793, 1232, 330, 55, 37836, 38362, 498, 2262, 25, 330, 5484, 28, 2321, 6468, 5484, 22, 1, 457, 262, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 34132, 4425, 6, 457, 262, 551, 14402, 198, 415, 767, 721, 6885, 80, 284, 721, 6885, 80, 1393, 6032, 415, 721, 6885, 80, 2615, 6561, 62, 751, 7516, 518, 364, 18258, 12, 11515, 24939, 4218, 12, 16, 5984, 415, 721, 6885, 80, 2615, 6561, 62, 13432, 2732, 1068, 5984, 415, 320, 1723, 368, 341, 286, 767, 13819, 284, 2246, 9931, 493, 2334, 4772, 13819, 4957, 284, 364, 1342, 10038, 7112, 13819, 25778, 284, 837, 280, 286, 13819, 15023, 284, 4417, 2485, 4989, 624, 2246, 8383, 30951, 949, 364, 2485, 1129, 25658, 6, 551, 364, 1277, 1129, 2185, 873, 489, 6389, 17943, 100010, 916, 4951, 64, 2927, 1025, 286, 767, 274, 284, 2246, 30815, 493, 2334, 13588, 15, 5378, 274, 28393, 58467, 3348, 64, 11, 274, 317, 415, 93328, 262, 72990, 333, 26237, 18657, 220, 24, 65177, 415, 1034, 2334, 90, 2338, 25, 330, 1277, 1129, 1580, 20, 65830, 98724, 916, 2754, 29238, 79780, 14056, 20, 2927, 1, 457, 415, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 14, 648, 4425, 6, 457, 262, 59244, 2384, 55869, 220, 1034, 2664, 198, 262, 674, 1834, 198, 415, 674, 2964, 198, 286, 1034, 2775, 198, 692, 1034, 71, 16, 2, 10338, 90, 2316, 25, 364, 1997, 2927, 64894, 412, 6, 457, 310, 1034, 64, 90, 1839, 25, 15198, 457, 1078, 1034, 1931, 90, 2338, 25, 3434, 3726, 38311, 9509, 3592, 518, 4902, 25, 364, 1997, 2927, 64894, 412, 6, 457, 286, 1034, 3807, 198, 692, 1034, 360, 198, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 22746, 6, 335, 23694, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 18631, 3252, 6, 335, 86955, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 46623, 6, 335, 32072, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 39596, 6, 335, 40713, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 82, 51976, 6, 335, 328, 51976, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 364, 1277, 1129, 3593, 19639, 1197, 412, 98194, 788, 916, 11576, 335, 14496, 198, 692, 1034, 64, 16535, 90, 1839, 25, 364, 1277, 1129, 15021, 916, 38311, 4803, 88221, 412, 6, 457, 310, 662, 37890, 5947, 364, 12763, 603, 9668, 9883, 389, 6405, 49827, 310, 1034, 1931, 90, 2338, 25, 3434, 3726, 3554, 2668, 3592, 6, 457, 286, 662, 2664, 90, 364, 1058, 1232, 364, 2664, 364, 489, 1684, 335, 5947, 2547, 27, 17869, 6619, 29, 5254, 1603, 36810, 364, 66, 5308, 3566, 8390, 40912, 433, 369, 4732, 27, 17869, 20434, 29, 12340, 220, 20, 198, 4, 1580, 90, 8859, 25, 364, 268, 6, 457, 220, 1034, 2025, 198, 262, 1034, 2150, 6146, 2927, 64894, 412, 198, 262, 1034, 5607, 90, 11878, 25, 364, 4867, 12, 23, 6, 457, 262, 1034, 5607, 90, 364, 1277, 23793, 1232, 330, 55, 37836, 38362, 498, 2262, 25, 330, 5484, 28, 2321, 6468, 5484, 22, 1, 457, 262, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 34132, 4425, 6, 457, 262, 72990, 333, 26237, 18657, 220, 24, 65177, 415, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 14, 648, 4425, 6, 457, 262, 59244, 2384, 55869, 262, 551, 14402, 198, 415, 767, 721, 6885, 80, 284, 721, 6885, 80, 1393, 6032, 415, 721, 6885, 80, 2615, 6561, 62, 751, 7516, 518, 364, 18258, 12, 11515, 24939, 4218, 12, 16, 5984, 415, 721, 6885, 80, 2615, 6561, 62, 13432, 2732, 1068, 5984, 415, 320, 1723, 368, 341, 286, 767, 13819, 284, 2246, 9931, 493, 2334, 4772, 13819, 4957, 284, 364, 1342, 10038, 7112, 13819, 25778, 284, 837, 280, 286, 13819, 15023, 284, 4417, 2485, 4989, 624, 2246, 8383, 30951, 949, 364, 2485, 1129, 25658, 6, 551, 364, 1277, 1129, 2185, 873, 489, 6389, 17943, 100010, 916, 4951, 64, 2927, 1025, 286, 767, 274, 284, 2246, 30815, 493, 2334, 13588, 15, 5378, 274, 28393, 58467, 3348, 64, 11, 274, 317, 415, 93328, 262, 72990, 333, 26237, 18657, 220, 24, 65177, 415, 1034, 2334, 90, 2338, 25, 330, 1277, 1129, 1580, 20, 65830, 98724, 916, 2754, 29238, 79780, 14056, 20, 2927, 1, 457, 262, 59244, 2384, 55869, 220, 1034, 2664, 198, 262, 674, 1834, 198, 415, 674, 2964, 198, 286, 1034, 2775, 198, 692, 1034, 71, 16, 2, 10338, 90, 2316, 25, 364, 1997, 2927, 64894, 412, 6, 457, 310, 1034, 64, 90, 1839, 25, 15198, 457, 1078, 1034, 1931, 90, 2338, 25, 3434, 3726, 38311, 9509, 3592, 518, 4902, 25, 364, 1997, 2927, 64894, 412, 6, 457, 286, 1034, 3807, 198, 692, 1034, 360, 198, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 22746, 6, 335, 23694, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 18631, 3252, 6, 335, 86955, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 46623, 6, 335, 32072, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 39596, 6, 335, 40713, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 82, 51976, 6, 335, 328, 51976, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 364, 1277, 1129, 3593, 19639, 1197, 412, 98194, 788, 916, 11576, 335, 14496, 198, 692, 1034, 64, 16535, 90, 1839, 25, 364, 1277, 1129, 15021, 916, 38311, 4803, 88221, 412, 6, 457, 310, 662, 37890, 5947, 364, 12763, 603, 9668, 9883, 389, 6405, 49827, 310, 1034, 1931, 90, 2338, 25, 3434, 3726, 3554, 2668, 3592, 6, 457, 286, 662, 2664, 90, 364, 1058, 1232, 364, 2664, 364, 489, 1684, 335, 5947, 2547, 128001, 128000, 10438, 279, 28522, 11, 358, 4024, 449, 856, 26923, 311, 3449, 1063, 315, 813, 704, 315, 6424, 4885, 13, 1226, 1051, 3515, 21662, 11, 11961, 2212, 264, 2007, 11, 7556, 13, 358, 15393, 584, 1051, 8430, 1855, 1023, 704, 13, 50958, 311, 8417, 422, 279, 1023, 743, 315, 1274, 1051, 3420, 388, 477, 539, 13, 3277, 584, 1051, 682, 2771, 584, 15058, 956, 11, 10652, 85750, 1790, 8831, 13, 3011, 574, 279, 1176, 892, 358, 15393, 433, 574, 12765, 13, 4740, 430, 11, 358, 14000, 433, 304, 682, 22639, 13, 32499, 311, 3420, 11, 358, 7846, 956, 3371, 499, 1148, 1455, 315, 856, 54627, 3095, 5054, 12204, 811, 1051, 13, 1102, 3287, 956, 5030, 13, 1102, 13146, 1457, 1606, 433, 596, 539, 264, 5030, 315, 264, 6811, 315, 18463, 11, 719, 264, 6811, 315, 50446, 13, 1628, 279, 27052, 13, 358, 3974, 304, 264, 47904, 4251, 3158, 13, 13538, 279, 1566, 2478, 1667, 11, 358, 2646, 6755, 25185, 2574, 505, 1274, 13, 1102, 706, 3719, 264, 5912, 32659, 13, 1226, 527, 439, 3117, 505, 279, 18561, 3973, 439, 499, 649, 636, 13, 14968, 279, 12491, 369, 97862, 6244, 75649, 481, 13, 358, 1633, 1790, 1390, 311, 636, 1203, 311, 279, 864, 68020, 48688, 13, 128001 ]
[ -100, 27, 17869, 24638, 29, 12340, 220, 20, 198, 4, 1580, 90, 8859, 25, 364, 268, 6, 457, 220, 1034, 2025, 198, 262, 1034, 2150, 6146, 2927, 64894, 412, 198, 262, 1034, 5607, 90, 11878, 25, 364, 4867, 12, 23, 6, 457, 262, 1034, 5607, 90, 364, 1277, 23793, 1232, 330, 55, 37836, 38362, 498, 2262, 25, 330, 5484, 28, 2321, 6468, 5484, 22, 1, 457, 262, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 34132, 4425, 6, 457, 262, 551, 14402, 198, 415, 767, 721, 6885, 80, 284, 721, 6885, 80, 1393, 6032, 415, 721, 6885, 80, 2615, 6561, 62, 751, 7516, 518, 364, 18258, 12, 11515, 24939, 4218, 12, 16, 5984, 415, 721, 6885, 80, 2615, 6561, 62, 13432, 2732, 1068, 5984, 415, 320, 1723, 368, 341, 286, 767, 13819, 284, 2246, 9931, 493, 2334, 4772, 13819, 4957, 284, 364, 1342, 10038, 7112, 13819, 25778, 284, 837, 280, 286, 13819, 15023, 284, 4417, 2485, 4989, 624, 2246, 8383, 30951, 949, 364, 2485, 1129, 25658, 6, 551, 364, 1277, 1129, 2185, 873, 489, 6389, 17943, 100010, 916, 4951, 64, 2927, 1025, 286, 767, 274, 284, 2246, 30815, 493, 2334, 13588, 15, 5378, 274, 28393, 58467, 3348, 64, 11, 274, 317, 415, 93328, 262, 72990, 333, 26237, 18657, 220, 24, 65177, 415, 1034, 2334, 90, 2338, 25, 330, 1277, 1129, 1580, 20, 65830, 98724, 916, 2754, 29238, 79780, 14056, 20, 2927, 1, 457, 415, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 14, 648, 4425, 6, 457, 262, 59244, 2384, 55869, 220, 1034, 2664, 198, 262, 674, 1834, 198, 415, 674, 2964, 198, 286, 1034, 2775, 198, 692, 1034, 71, 16, 2, 10338, 90, 2316, 25, 364, 1997, 2927, 64894, 412, 6, 457, 310, 1034, 64, 90, 1839, 25, 15198, 457, 1078, 1034, 1931, 90, 2338, 25, 3434, 3726, 38311, 9509, 3592, 518, 4902, 25, 364, 1997, 2927, 64894, 412, 6, 457, 286, 1034, 3807, 198, 692, 1034, 360, 198, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 22746, 6, 335, 23694, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 18631, 3252, 6, 335, 86955, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 46623, 6, 335, 32072, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 39596, 6, 335, 40713, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 82, 51976, 6, 335, 328, 51976, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 364, 1277, 1129, 3593, 19639, 1197, 412, 98194, 788, 916, 11576, 335, 14496, 198, 692, 1034, 64, 16535, 90, 1839, 25, 364, 1277, 1129, 15021, 916, 38311, 4803, 88221, 412, 6, 457, 310, 662, 37890, 5947, 364, 12763, 603, 9668, 9883, 389, 6405, 49827, 310, 1034, 1931, 90, 2338, 25, 3434, 3726, 3554, 2668, 3592, 6, 457, 286, 662, 2664, 90, 364, 1058, 1232, 364, 2664, 364, 489, 1684, 335, 5947, 2547, 27, 17869, 6619, 29, 5254, 1603, 36810, 364, 66, 5308, 3566, 8390, 40912, 433, 369, 4732, 27, 17869, 20434, 29, 12340, 220, 20, 198, 4, 1580, 90, 8859, 25, 364, 268, 6, 457, 220, 1034, 2025, 198, 262, 1034, 2150, 6146, 2927, 64894, 412, 198, 262, 1034, 5607, 90, 11878, 25, 364, 4867, 12, 23, 6, 457, 262, 1034, 5607, 90, 364, 1277, 23793, 1232, 330, 55, 37836, 38362, 498, 2262, 25, 330, 5484, 28, 2321, 6468, 5484, 22, 1, 457, 262, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 34132, 4425, 6, 457, 262, 72990, 333, 26237, 18657, 220, 24, 65177, 415, 1034, 2125, 90, 1375, 25, 364, 6936, 518, 955, 25, 364, 1342, 6851, 518, 1839, 25, 3434, 4041, 20924, 14, 648, 4425, 6, 457, 262, 59244, 2384, 55869, 262, 551, 14402, 198, 415, 767, 721, 6885, 80, 284, 721, 6885, 80, 1393, 6032, 415, 721, 6885, 80, 2615, 6561, 62, 751, 7516, 518, 364, 18258, 12, 11515, 24939, 4218, 12, 16, 5984, 415, 721, 6885, 80, 2615, 6561, 62, 13432, 2732, 1068, 5984, 415, 320, 1723, 368, 341, 286, 767, 13819, 284, 2246, 9931, 493, 2334, 4772, 13819, 4957, 284, 364, 1342, 10038, 7112, 13819, 25778, 284, 837, 280, 286, 13819, 15023, 284, 4417, 2485, 4989, 624, 2246, 8383, 30951, 949, 364, 2485, 1129, 25658, 6, 551, 364, 1277, 1129, 2185, 873, 489, 6389, 17943, 100010, 916, 4951, 64, 2927, 1025, 286, 767, 274, 284, 2246, 30815, 493, 2334, 13588, 15, 5378, 274, 28393, 58467, 3348, 64, 11, 274, 317, 415, 93328, 262, 72990, 333, 26237, 18657, 220, 24, 65177, 415, 1034, 2334, 90, 2338, 25, 330, 1277, 1129, 1580, 20, 65830, 98724, 916, 2754, 29238, 79780, 14056, 20, 2927, 1, 457, 262, 59244, 2384, 55869, 220, 1034, 2664, 198, 262, 674, 1834, 198, 415, 674, 2964, 198, 286, 1034, 2775, 198, 692, 1034, 71, 16, 2, 10338, 90, 2316, 25, 364, 1997, 2927, 64894, 412, 6, 457, 310, 1034, 64, 90, 1839, 25, 15198, 457, 1078, 1034, 1931, 90, 2338, 25, 3434, 3726, 38311, 9509, 3592, 518, 4902, 25, 364, 1997, 2927, 64894, 412, 6, 457, 286, 1034, 3807, 198, 692, 1034, 360, 198, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 22746, 6, 335, 23694, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 18631, 3252, 6, 335, 86955, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 46623, 6, 335, 32072, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 39596, 6, 335, 40713, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 3434, 82, 51976, 6, 335, 328, 51976, 198, 1078, 1034, 1508, 3211, 81, 9432, 310, 1034, 747, 198, 1078, 1034, 64, 90, 1839, 25, 364, 1277, 1129, 3593, 19639, 1197, 412, 98194, 788, 916, 11576, 335, 14496, 198, 692, 1034, 64, 16535, 90, 1839, 25, 364, 1277, 1129, 15021, 916, 38311, 4803, 88221, 412, 6, 457, 310, 662, 37890, 5947, 364, 12763, 603, 9668, 9883, 389, 6405, 49827, 310, 1034, 1931, 90, 2338, 25, 3434, 3726, 3554, 2668, 3592, 6, 457, 286, 662, 2664, 90, 364, 1058, 1232, 364, 2664, 364, 489, 1684, 335, 5947, 2547, 128001, -100, 10438, 279, 28522, 11, 358, 4024, 449, 856, 26923, 311, 3449, 1063, 315, 813, 704, 315, 6424, 4885, 13, 1226, 1051, 3515, 21662, 11, 11961, 2212, 264, 2007, 11, 7556, 13, 358, 15393, 584, 1051, 8430, 1855, 1023, 704, 13, 50958, 311, 8417, 422, 279, 1023, 743, 315, 1274, 1051, 3420, 388, 477, 539, 13, 3277, 584, 1051, 682, 2771, 584, 15058, 956, 11, 10652, 85750, 1790, 8831, 13, 3011, 574, 279, 1176, 892, 358, 15393, 433, 574, 12765, 13, 4740, 430, 11, 358, 14000, 433, 304, 682, 22639, 13, 32499, 311, 3420, 11, 358, 7846, 956, 3371, 499, 1148, 1455, 315, 856, 54627, 3095, 5054, 12204, 811, 1051, 13, 1102, 3287, 956, 5030, 13, 1102, 13146, 1457, 1606, 433, 596, 539, 264, 5030, 315, 264, 6811, 315, 18463, 11, 719, 264, 6811, 315, 50446, 13, 1628, 279, 27052, 13, 358, 3974, 304, 264, 47904, 4251, 3158, 13, 13538, 279, 1566, 2478, 1667, 11, 358, 2646, 6755, 25185, 2574, 505, 1274, 13, 1102, 706, 3719, 264, 5912, 32659, 13, 1226, 527, 439, 3117, 505, 279, 18561, 3973, 439, 499, 649, 636, 13, 14968, 279, 12491, 369, 97862, 6244, 75649, 481, 13, 358, 1633, 1790, 1390, 311, 636, 1203, 311, 279, 864, 68020, 48688, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205 ]
[ 128000, 8538, 5789, 315, 279, 18435, 617, 3403, 39500, 10160, 4907, 311, 2410, 279, 1917, 11, 719, 430, 330, 94230, 2065, 13230, 2410, 1, 690, 539, 387, 305, 1923, 22456, 3156, 8518, 13230, 5655, 3090, 10160, 34324, 527, 43303, 11, 4184, 311, 502, 3495, 505, 279, 64373, 43964, 369, 10170, 627, 57856, 42145, 1215, 11, 264, 1772, 38083, 278, 32185, 11, 323, 14594, 3400, 451, 9008, 11, 264, 10195, 28568, 323, 264, 14561, 520, 31788, 3907, 11, 1766, 430, 1063, 13918, 315, 279, 1825, 18435, 649, 8356, 24657, 279, 3392, 315, 10160, 2410, 430, 374, 8066, 304, 264, 4528, 3158, 389, 4363, 13, 1115, 374, 1606, 279, 50393, 3485, 1521, 5655, 21160, 617, 35855, 12912, 430, 2187, 10160, 34324, 311, 33508, 810, 4907, 304, 279, 16975, 11, 4856, 1109, 279, 7347, 3392, 315, 71423, 4907, 2561, 520, 279, 18435, 7479, 627, 60210, 1047, 8767, 3463, 39500, 10160, 34324, 1436, 7068, 459, 9974, 220, 16, 13, 20, 72122, 824, 9518, 23819, 520, 1455, 13, 2030, 5596, 315, 279, 4892, 23179, 11, 369, 3187, 11, 617, 279, 4754, 311, 7068, 810, 1109, 220, 21, 72122, 824, 9518, 23819, 30171, 11, 902, 1436, 1825, 279, 6134, 311, 810, 32855, 39500, 10160, 7224, 627, 31437, 584, 1550, 1618, 374, 539, 264, 22343, 1359, 42145, 1215, 1071, 304, 459, 7274, 449, 328, 43945, 8121, 8152, 22107, 13, 330, 1687, 2351, 539, 5605, 430, 499, 649, 8819, 220, 605, 36655, 477, 220, 16, 36655, 315, 2410, 304, 279, 23179, 13, 2564, 1115, 374, 264, 4007, 3411, 520, 279, 4017, 315, 10160, 2410, 33289, 430, 596, 743, 555, 279, 3805, 60701, 304, 279, 16975, 10246, 644, 2015, 311, 3449, 1510, 15603, 9974, 4907, 7631, 315, 220, 972, 36655, 11, 1070, 1053, 1205, 311, 387, 76775, 42147, 9041, 4028, 922, 220, 18, 3610, 9518, 41668, 2001, 459, 3158, 17715, 279, 1404, 315, 6890, 13, 1628, 279, 39500, 10160, 5064, 374, 28211, 3221, 430, 2237, 315, 30116, 4500, 323, 7100, 69543, 13, 9303, 8518, 39500, 10160, 76775, 527, 2103, 7347, 311, 4985, 1223, 21160, 13, 22862, 13707, 1053, 1205, 19596, 76775, 477, 2500, 66270, 2955, 311, 8819, 810, 4907, 3485, 279, 1825, 18435, 627, 1966, 279, 36941, 11, 19596, 76775, 1027, 30240, 810, 47955, 304, 39500, 10160, 3495, 323, 4500, 26, 315, 279, 220, 1627, 19596, 10160, 7224, 1234, 1063, 10474, 315, 4500, 11, 220, 806, 7224, 449, 264, 11093, 8824, 315, 220, 14378, 45582, 527, 1457, 3060, 1234, 8246, 11, 12054, 477, 617, 5199, 5070, 25695, 1124, 369, 810, 4500, 11, 4184, 311, 264, 3293, 6011, 315, 12634, 1934, 389, 39500, 10160, 5557, 627, 13622, 6484, 323, 13205, 39500, 10160, 34324, 617, 8521, 7693, 304, 21160, 3345, 311, 31284, 13, 763, 6250, 11, 279, 549, 11606, 13, 3109, 5068, 430, 7194, 369, 39500, 10160, 7224, 5108, 2930, 304, 279, 4216, 220, 2366, 15, 82, 617, 21536, 555, 4376, 2533, 1202, 1566, 21852, 304, 220, 679, 20, 13, 5734, 3779, 7154, 220, 5067, 45582, 315, 39500, 10160, 8824, 304, 220, 679, 21, 7636, 323, 706, 1027, 3318, 449, 35440, 311, 4726, 2274, 1202, 5064, 627, 644, 279, 549, 815, 2637, 39500, 10160, 706, 1027, 29493, 311, 3820, 709, 13, 578, 3224, 596, 1176, 39500, 10160, 8961, 11, 279, 220, 966, 5364, 54, 8527, 10951, 4206, 29526, 22862, 2447, 11, 3782, 2930, 304, 6790, 220, 679, 21, 13, 362, 23810, 315, 10160, 13707, 11, 2737, 800, 4428, 321, 89700, 323, 423, 7691, 12634, 11, 617, 1027, 3318, 389, 39500, 10160, 7224, 323, 3892, 5415, 2737, 22108, 11, 1561, 4356, 323, 23481, 617, 11136, 7540, 369, 25243, 311, 33435, 810, 39500, 10160, 1139, 872, 4907, 6651, 627, 25938, 527, 1063, 47728, 704, 1070, 323, 1274, 527, 3815, 7177, 11, 719, 814, 2351, 264, 2763, 12401, 311, 31284, 1109, 584, 2351, 13126, 304, 420, 4007, 1359, 42145, 1215, 1071, 13, 330, 32, 6908, 3392, 315, 19297, 374, 2103, 2631, 1210, 128001 ]
[ -100, 8538, 5789, 315, 279, 18435, 617, 3403, 39500, 10160, 4907, 311, 2410, 279, 1917, 11, 719, 430, 330, 94230, 2065, 13230, 2410, 1, 690, 539, 387, 305, 1923, 22456, 3156, 8518, 13230, 5655, 3090, 10160, 34324, 527, 43303, 11, 4184, 311, 502, 3495, 505, 279, 64373, 43964, 369, 10170, 627, 57856, 42145, 1215, 11, 264, 1772, 38083, 278, 32185, 11, 323, 14594, 3400, 451, 9008, 11, 264, 10195, 28568, 323, 264, 14561, 520, 31788, 3907, 11, 1766, 430, 1063, 13918, 315, 279, 1825, 18435, 649, 8356, 24657, 279, 3392, 315, 10160, 2410, 430, 374, 8066, 304, 264, 4528, 3158, 389, 4363, 13, 1115, 374, 1606, 279, 50393, 3485, 1521, 5655, 21160, 617, 35855, 12912, 430, 2187, 10160, 34324, 311, 33508, 810, 4907, 304, 279, 16975, 11, 4856, 1109, 279, 7347, 3392, 315, 71423, 4907, 2561, 520, 279, 18435, 7479, 627, 60210, 1047, 8767, 3463, 39500, 10160, 34324, 1436, 7068, 459, 9974, 220, 16, 13, 20, 72122, 824, 9518, 23819, 520, 1455, 13, 2030, 5596, 315, 279, 4892, 23179, 11, 369, 3187, 11, 617, 279, 4754, 311, 7068, 810, 1109, 220, 21, 72122, 824, 9518, 23819, 30171, 11, 902, 1436, 1825, 279, 6134, 311, 810, 32855, 39500, 10160, 7224, 627, 31437, 584, 1550, 1618, 374, 539, 264, 22343, 1359, 42145, 1215, 1071, 304, 459, 7274, 449, 328, 43945, 8121, 8152, 22107, 13, 330, 1687, 2351, 539, 5605, 430, 499, 649, 8819, 220, 605, 36655, 477, 220, 16, 36655, 315, 2410, 304, 279, 23179, 13, 2564, 1115, 374, 264, 4007, 3411, 520, 279, 4017, 315, 10160, 2410, 33289, 430, 596, 743, 555, 279, 3805, 60701, 304, 279, 16975, 10246, 644, 2015, 311, 3449, 1510, 15603, 9974, 4907, 7631, 315, 220, 972, 36655, 11, 1070, 1053, 1205, 311, 387, 76775, 42147, 9041, 4028, 922, 220, 18, 3610, 9518, 41668, 2001, 459, 3158, 17715, 279, 1404, 315, 6890, 13, 1628, 279, 39500, 10160, 5064, 374, 28211, 3221, 430, 2237, 315, 30116, 4500, 323, 7100, 69543, 13, 9303, 8518, 39500, 10160, 76775, 527, 2103, 7347, 311, 4985, 1223, 21160, 13, 22862, 13707, 1053, 1205, 19596, 76775, 477, 2500, 66270, 2955, 311, 8819, 810, 4907, 3485, 279, 1825, 18435, 627, 1966, 279, 36941, 11, 19596, 76775, 1027, 30240, 810, 47955, 304, 39500, 10160, 3495, 323, 4500, 26, 315, 279, 220, 1627, 19596, 10160, 7224, 1234, 1063, 10474, 315, 4500, 11, 220, 806, 7224, 449, 264, 11093, 8824, 315, 220, 14378, 45582, 527, 1457, 3060, 1234, 8246, 11, 12054, 477, 617, 5199, 5070, 25695, 1124, 369, 810, 4500, 11, 4184, 311, 264, 3293, 6011, 315, 12634, 1934, 389, 39500, 10160, 5557, 627, 13622, 6484, 323, 13205, 39500, 10160, 34324, 617, 8521, 7693, 304, 21160, 3345, 311, 31284, 13, 763, 6250, 11, 279, 549, 11606, 13, 3109, 5068, 430, 7194, 369, 39500, 10160, 7224, 5108, 2930, 304, 279, 4216, 220, 2366, 15, 82, 617, 21536, 555, 4376, 2533, 1202, 1566, 21852, 304, 220, 679, 20, 13, 5734, 3779, 7154, 220, 5067, 45582, 315, 39500, 10160, 8824, 304, 220, 679, 21, 7636, 323, 706, 1027, 3318, 449, 35440, 311, 4726, 2274, 1202, 5064, 627, 644, 279, 549, 815, 2637, 39500, 10160, 706, 1027, 29493, 311, 3820, 709, 13, 578, 3224, 596, 1176, 39500, 10160, 8961, 11, 279, 220, 966, 5364, 54, 8527, 10951, 4206, 29526, 22862, 2447, 11, 3782, 2930, 304, 6790, 220, 679, 21, 13, 362, 23810, 315, 10160, 13707, 11, 2737, 800, 4428, 321, 89700, 323, 423, 7691, 12634, 11, 617, 1027, 3318, 389, 39500, 10160, 7224, 323, 3892, 5415, 2737, 22108, 11, 1561, 4356, 323, 23481, 617, 11136, 7540, 369, 25243, 311, 33435, 810, 39500, 10160, 1139, 872, 4907, 6651, 627, 25938, 527, 1063, 47728, 704, 1070, 323, 1274, 527, 3815, 7177, 11, 719, 814, 2351, 264, 2763, 12401, 311, 31284, 1109, 584, 2351, 13126, 304, 420, 4007, 1359, 42145, 1215, 1071, 13, 330, 32, 6908, 3392, 315, 19297, 374, 2103, 2631, 1210, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 13347, 11, 4885, 0, 358, 3077, 6051, 1047, 5115, 264, 2763, 315, 7540, 311, 6369, 922, 279, 8712, 315, 12917, 3009, 10578, 13, 1115, 2046, 11, 358, 3077, 3549, 264, 2835, 45293, 7524, 5627, 311, 4639, 420, 13, 358, 3077, 1101, 5343, 7902, 323, 2038, 922, 279, 5070, 430, 358, 5905, 304, 279, 2835, 13, 1472, 690, 1505, 1124, 3770, 13, 9369, 389, 1855, 2217, 311, 1518, 810, 315, 279, 2027, 627, 4599, 584, 21650, 4639, 51923, 16034, 6, 28664, 38220, 4519, 11, 584, 527, 10695, 311, 1893, 7902, 1990, 279, 3927, 8982, 10578, 323, 279, 6661, 44713, 13, 4314, 11013, 7563, 527, 6319, 311, 8641, 323, 1862, 11013, 22165, 323, 5222, 5788, 6089, 627, 791, 7563, 3371, 499, 1405, 279, 5222, 4131, 505, 2949, 1057, 11013, 320, 7096, 11, 6278, 11, 477, 1203, 315, 279, 11013, 705, 279, 11827, 315, 28664, 2987, 320, 12840, 527, 279, 18311, 11, 23726, 11, 323, 25466, 3815, 705, 323, 279, 1005, 315, 7899, 477, 653, 3415, 7725, 5222, 5788, 311, 20259, 51923, 5848, 17985, 11, 5403, 11, 323, 43529, 13, 4314, 11013, 18488, 57016, 527, 7718, 369, 34330, 5620, 10578, 311, 6661, 44713, 53488, 13347, 11, 4885, 13, 14936, 21934, 649, 387, 34553, 369, 1063, 4236, 11, 5423, 279, 2875, 384, 323, 2875, 602, 10578, 13, 9176, 2911, 690, 59217, 1521, 1403, 77281, 10578, 304, 51923, 2508, 990, 11, 5403, 11, 43529, 11, 323, 7170, 4401, 8982, 13, 4427, 4236, 1253, 1101, 14993, 449, 51923, 5848, 8863, 11, 617, 8982, 5222, 6103, 11, 5222, 94750, 11, 52144, 10578, 11, 923, 10578, 11, 477, 70584, 10578, 13, 1442, 420, 374, 279, 1162, 369, 701, 4236, 11, 2567, 5403, 13, 1115, 2046, 11, 358, 2846, 52067, 922, 1268, 21650, 12917, 28664, 38220, 53492, 477, 11013, 22165, 374, 1401, 627, 44259, 51923, 3981, 5788, 374, 459, 26154, 961, 315, 5403, 323, 43529, 7754, 13, 20783, 1205, 311, 387, 3025, 311, 43223, 51923, 16034, 311, 10449, 13, 578, 10151, 315, 10449, 287, 374, 279, 5845, 311, 1935, 10980, 3927, 51923, 16034, 11, 10578, 11, 2949, 4339, 13, 21834, 315, 1521, 439, 279, 13217, 19300, 369, 279, 12197, 430, 4097, 1521, 10578, 627, 4599, 584, 1520, 4236, 10765, 279, 22165, 315, 872, 11013, 9522, 13347, 11, 4885, 0, 8155, 2046, 11, 358, 14407, 279, 12939, 315, 21583, 8982, 311, 1194, 323, 1268, 430, 36716, 311, 43529, 7754, 13, 14910, 499, 3194, 1566, 2046, 596, 1772, 30, 9369, 1618, 311, 1373, 430, 1176, 13, 763, 12399, 11, 584, 649, 1781, 315, 5403, 323, 43529, 439, 87298, 7512, 13, 18242, 11, 477, 48216, 11, 374, 19486, 279, 5222, 88422, 12135, 323, 7946, 56941, 1124, 311, 1373, 264, 3492, 13, 3165, 6427, 374, 279, 1023, 3185, 315, 279, 16652, 13, 1102, 374, 279, 5845, 311, 10449, 4339, 555, 3927, 10578, 323, 1005, 279, 4495, 5222, 88422, 8024, 2436, 304, 5439, 1376, 627, 2028, 8982, 311, 1194, 5603, 8779, 603, 4667, 279, 51923, 16034, 11, 10578, 11, 311, 279, 4876, 3981, 11, 6661, 2754, 26, 279, 13340, 369, 1855, 3927, 5222, 13, 6104, 420, 1253, 387, 264, 6725, 430, 1690, 315, 603, 527, 11537, 449, 304, 279, 4216, 28711, 449, 3254, 1355, 25734, 481, 4339, 11, 1268, 1587, 420, 3881, 311, 75837, 25734, 69391, 4339, 30, 6914, 596, 13488, 420, 627, 32052, 1205, 11720, 7754, 304, 15174, 430, 9522, 13347, 11, 4885, 0, 1115, 2046, 11, 358, 2846, 2133, 311, 4430, 449, 499, 279, 1455, 7524, 6725, 430, 358, 617, 1511, 311, 1520, 4236, 6573, 1463, 872, 5222, 4791, 43245, 6677, 13, 358, 617, 1511, 420, 304, 1475, 538, 430, 358, 617, 15972, 505, 25864, 12, 717, 339, 12239, 13, 1102, 8779, 4236, 2472, 10578, 311, 15062, 6661, 44818, 627, 13347, 11, 4885, 0, 358, 2846, 1203, 420, 2046, 52067, 922, 264, 5526, 8712, 430, 358, 3077, 1027, 25394, 449, 578, 65142, 2635, 689, 77129, 12332, 927, 389, 14318, 13, 9176, 617, 8813, 704, 311, 757, 10371, 369, 15174, 389, 4857, 20236, 2301, 13, 358, 4691, 279, 4029, 422, 420, 374, 2555, 430, 1053, 387, 11190, 11, 323, 279, 594, 13900, 4320, 574, 10035, 13, 763, 420, 1772, 11, 358, 690, 387, 25394, 1148, 20236, 2301, 374, 11, 1268, 311, 1977, 433, 11, 323, 8405, 499, 449, 5070, 311, 1520, 13, 18242, 20236, 2301, 374, 7718, 311, 1057, 4236, 6, 2450, 1606, 3495, 706, 1766, 430, 11469, 433, 374, 832, 315, 279, 4330, 64982, 315, 5403, 7754, 627, 3968, 84, 2301, 374, 4276, 279, 10151, 315, 5403, 5043, 0, 3277, 584, 1373, 20236, 4501, 11, 584, 1373, 4339, 30357, 323, 520, 264, 4478, 430, 6276, 6300, 7645, 11, 1343, 97578, 11, 323, 528, 91983, 13, 1115, 5845, 311, 1373, 1664, 11, 477, 9651, 11, 52797, 304, 19662, 62194, 627, 4599, 4236, 14993, 311, 1373, 20236, 4501, 11, 5403, 62194, 649, 387, 11754, 13, 1115, 8741, 1606, 279, 6742, 506, 15916, 264, 2294, 3568, 315, 25702, 4907, 9522, 13347, 11, 4885, 0, 358, 2846, 2133, 311, 1212, 420, 2046, 596, 5117, 1772, 1022, 304, 264, 10284, 2204, 5216, 1109, 13783, 13, 4418, 956, 11196, 11, 358, 3077, 2751, 1063, 2294, 10631, 311, 1101, 4430, 449, 499, 420, 2046, 627, 2746, 499, 527, 1093, 757, 11, 499, 636, 20343, 505, 2955, 35496, 323, 2010, 7833, 311, 13791, 311, 7782, 682, 279, 4509, 29646, 13, 4418, 956, 499, 2744, 3021, 459, 28391, 311, 27100, 13791, 596, 24519, 2162, 10799, 5380, 3923, 8741, 11, 3582, 11, 374, 430, 358, 636, 2162, 449, 682, 315, 856, 70855, 11, 323, 358, 2846, 539, 2216, 2771, 1148, 311, 656, 1828, 13, 5112, 11, 358, 13383, 430, 358, 5828, 956, 7373, 10235, 311, 1212, 49682, 627, 10445, 30, 8489, 11, 1606, 279, 89328, 9863, 304, 856, 2162, 1051, 539, 3686, 743, 477, 17057, 369, 757, 311, 1524, 3240, 311, 1781, 922, 49682, 477, 4737, 264, 8577, 311, 13791, 13, 14910, 358, 6420, 430, 358, 617, 2380, 2697, 6305, 11, 2380, 73756, 12875, 11, 323, 264, 10177, 4401, 2212, 279, 3838, 3339, 433, 1120, 264, 2766, 5107, 311, 4822, 17057, 5380, 49388, 11, 1148, 8741, 374, 430, 856, 5128, 11, 502, 10799, 5334, 5675, 304, 279, 11493, 6945, 315, 856, 2162, 320, 269, 3779, 311, 279, 27402, 315, 10799, 304, 856, 9522, 12389, 499, 3463, 922, 32647, 323, 65890, 14715, 48704, 4893, 304, 279, 6498, 4221, 5380, 22186, 433, 2216, 5030, 422, 584, 4639, 420, 7434, 311, 20558, 13016, 5380, 791, 6498, 4221, 374, 264, 8631, 2442, 76585, 4221, 13, 3277, 584, 6604, 477, 1373, 20236, 4501, 11, 1070, 374, 264, 5933, 37390, 430, 13980, 13, 1115, 52797, 304, 62194, 11, 71722, 11, 20047, 11, 323, 7645, 13, 578, 32647, 323, 65890, 14715, 48704, 4893, 323, 4339, 304, 6498, 3041, 433, 1202, 37390, 13, 1115, 18273, 488, 315, 6498, 11, 279, 33834, 323, 40291, 11, 279, 8599, 8982, 11, 323, 279, 31799, 315, 4339, 11, 902, 4442, 994, 9277, 304, 4401, 8982, 11, 52797, 304, 1057, 8830, 323, 1694, 16365, 627, 10438, 856, 42863, 4967, 11, 358, 1047, 2646, 3463, 922, 279, 5536, 430, 32647, 323, 65890, 14715, 48704, 4893, 617, 389, 43529, 11, 71722, 11, 20047, 11, 323, 7438, 13, 358, 27136, 3287, 956, 1440, 430, 279, 6498, 4221, 374, 264, 32647, 7394, 4221, 477, 1148, 430, 8967, 369, 7754, 13, 4800, 11, 358, 9539, 1518, 430, 555, 21650, 12917, 279, 7434, 315, 32647, 323, 9522, 791, 2316, 315, 34007, 51, 11, 477, 36542, 42170, 11688, 23258, 60329, 11, 574, 832, 430, 574, 502, 311, 757, 304, 279, 1060, 220, 1049, 23, 1524, 3582, 358, 574, 45314, 1667, 1139, 856, 7076, 439, 459, 72146, 13, 358, 1047, 6575, 439, 264, 24978, 11326, 11, 3063, 11326, 323, 53082, 7395, 11, 5403, 21623, 380, 11, 9474, 53082, 17028, 859, 11, 323, 30676, 7061, 13, 7570, 449, 682, 315, 420, 3217, 323, 5542, 826, 11, 358, 1047, 2646, 6755, 315, 279, 34007, 51, 28706, 13, 358, 1047, 1027, 16572, 304, 1690, 2204, 20414, 323, 7620, 11, 323, 3686, 358, 7020, 430, 1070, 1051, 4236, 430, 1051, 16054, 1555, 279, 45963, 627, 2028, 3288, 757, 389, 264, 4443, 9131, 311, 4048, 810, 922, 22709, 2635, 689, 11, 323, 311, 6056, 704, 4967, 311, 2731, 1520, 682, 4236, 323, 50794, 13, 70332, 1667, 3010, 11, 358, 1440, 430, 11125, 7701, 10968, 4967, 304, 279, 8198, 315, 5403, 574, 279, 1888, 5597, 430, 358, 1903, 11, 439, 433, 743, 757, 389, 264, 502, 1853, 304, 856, 16627, 7076, 323, 3984, 757, 449, 279, 5995, 7512, 323, 6677, 311, 1888, 1520, 4236, 449, 22709, 2635, 689, 627, 32, 36542, 42170, 9522, 32, 22498, 315, 50794, 323, 6699, 6968, 13537, 323, 5655, 6147, 8830, 323, 6677, 1555, 459, 36681, 5411, 5603, 311, 1888, 1520, 1057, 2911, 389, 872, 1853, 449, 22709, 2635, 689, 13, 128001, 128000, 48149, 8152, 60426, 369, 15432, 55, 16500, 5410, 30387, 95273, 80390, 7524, 627, 7, 17, 8, 20026, 3430, 3196, 389, 13890, 9473, 4478, 315, 220, 16, 13, 2790, 627, 63818, 369, 1023, 16097, 690, 387, 3196, 389, 75729, 35197, 753, 7729, 304, 2515, 520, 279, 892, 315, 2015, 13, 9359, 701, 2254, 18740, 369, 3649, 627, 34160, 311, 279, 8738, 17509, 7138, 315, 279, 1510, 2626, 4676, 11, 2385, 3430, 690, 3136, 311, 387, 3917, 311, 459, 4907, 1765, 14215, 28174, 304, 279, 1567, 315, 459, 5376, 304, 279, 5707, 1963, 439, 7633, 3770, 627, 644, 1684, 315, 279, 17250, 82382, 3966, 304, 1521, 36218, 3115, 11, 75729, 35197, 690, 990, 449, 6444, 311, 279, 1888, 315, 1202, 5845, 311, 29376, 13579, 323, 1120, 23444, 9889, 9899, 1715, 4442, 3984, 584, 5371, 520, 3325, 220, 1399, 2919, 11084, 5406, 627, 791, 21913, 6070, 374, 7524, 7214, 389, 502, 10373, 320, 8370, 527, 3917, 311, 1057, 26586, 570, 20026, 3430, 4907, 1765, 14215, 690, 387, 16997, 1701, 459, 9473, 4478, 315, 220, 16, 13, 2790, 497, 6250, 8, 690, 3881, 311, 1828, 2305, 753, 59721, 320, 797, 13, 6664, 570, 1442, 279, 2380, 2305, 5578, 5707, 3430, 824, 20929, 374, 3770, 279, 8521, 26954, 11, 912, 1765, 14215, 690, 3881, 13, 3580, 2007, 3770, 369, 10507, 315, 5370, 5990, 315, 1765, 14215, 29217, 627, 16, 98527, 3430, 4907, 1765, 14215, 690, 387, 16997, 1701, 459, 9473, 4478, 315, 220, 16, 13, 2790, 627, 33775, 8242, 14215, 57994, 512, 16593, 6250, 220, 845, 11, 220, 1049, 24, 8922, 25, 52, 815, 13, 12634, 8245, 17128, 198, 2746, 499, 10932, 264, 11612, 2246, 11, 4587, 4299, 1618, 627, 1271, 2680, 279, 7665, 47431, 15895, 8167, 9676, 11, 4587, 4299, 1618, 13, 128001 ]
[ -100, 13347, 11, 4885, 0, 358, 3077, 6051, 1047, 5115, 264, 2763, 315, 7540, 311, 6369, 922, 279, 8712, 315, 12917, 3009, 10578, 13, 1115, 2046, 11, 358, 3077, 3549, 264, 2835, 45293, 7524, 5627, 311, 4639, 420, 13, 358, 3077, 1101, 5343, 7902, 323, 2038, 922, 279, 5070, 430, 358, 5905, 304, 279, 2835, 13, 1472, 690, 1505, 1124, 3770, 13, 9369, 389, 1855, 2217, 311, 1518, 810, 315, 279, 2027, 627, 4599, 584, 21650, 4639, 51923, 16034, 6, 28664, 38220, 4519, 11, 584, 527, 10695, 311, 1893, 7902, 1990, 279, 3927, 8982, 10578, 323, 279, 6661, 44713, 13, 4314, 11013, 7563, 527, 6319, 311, 8641, 323, 1862, 11013, 22165, 323, 5222, 5788, 6089, 627, 791, 7563, 3371, 499, 1405, 279, 5222, 4131, 505, 2949, 1057, 11013, 320, 7096, 11, 6278, 11, 477, 1203, 315, 279, 11013, 705, 279, 11827, 315, 28664, 2987, 320, 12840, 527, 279, 18311, 11, 23726, 11, 323, 25466, 3815, 705, 323, 279, 1005, 315, 7899, 477, 653, 3415, 7725, 5222, 5788, 311, 20259, 51923, 5848, 17985, 11, 5403, 11, 323, 43529, 13, 4314, 11013, 18488, 57016, 527, 7718, 369, 34330, 5620, 10578, 311, 6661, 44713, 53488, 13347, 11, 4885, 13, 14936, 21934, 649, 387, 34553, 369, 1063, 4236, 11, 5423, 279, 2875, 384, 323, 2875, 602, 10578, 13, 9176, 2911, 690, 59217, 1521, 1403, 77281, 10578, 304, 51923, 2508, 990, 11, 5403, 11, 43529, 11, 323, 7170, 4401, 8982, 13, 4427, 4236, 1253, 1101, 14993, 449, 51923, 5848, 8863, 11, 617, 8982, 5222, 6103, 11, 5222, 94750, 11, 52144, 10578, 11, 923, 10578, 11, 477, 70584, 10578, 13, 1442, 420, 374, 279, 1162, 369, 701, 4236, 11, 2567, 5403, 13, 1115, 2046, 11, 358, 2846, 52067, 922, 1268, 21650, 12917, 28664, 38220, 53492, 477, 11013, 22165, 374, 1401, 627, 44259, 51923, 3981, 5788, 374, 459, 26154, 961, 315, 5403, 323, 43529, 7754, 13, 20783, 1205, 311, 387, 3025, 311, 43223, 51923, 16034, 311, 10449, 13, 578, 10151, 315, 10449, 287, 374, 279, 5845, 311, 1935, 10980, 3927, 51923, 16034, 11, 10578, 11, 2949, 4339, 13, 21834, 315, 1521, 439, 279, 13217, 19300, 369, 279, 12197, 430, 4097, 1521, 10578, 627, 4599, 584, 1520, 4236, 10765, 279, 22165, 315, 872, 11013, 9522, 13347, 11, 4885, 0, 8155, 2046, 11, 358, 14407, 279, 12939, 315, 21583, 8982, 311, 1194, 323, 1268, 430, 36716, 311, 43529, 7754, 13, 14910, 499, 3194, 1566, 2046, 596, 1772, 30, 9369, 1618, 311, 1373, 430, 1176, 13, 763, 12399, 11, 584, 649, 1781, 315, 5403, 323, 43529, 439, 87298, 7512, 13, 18242, 11, 477, 48216, 11, 374, 19486, 279, 5222, 88422, 12135, 323, 7946, 56941, 1124, 311, 1373, 264, 3492, 13, 3165, 6427, 374, 279, 1023, 3185, 315, 279, 16652, 13, 1102, 374, 279, 5845, 311, 10449, 4339, 555, 3927, 10578, 323, 1005, 279, 4495, 5222, 88422, 8024, 2436, 304, 5439, 1376, 627, 2028, 8982, 311, 1194, 5603, 8779, 603, 4667, 279, 51923, 16034, 11, 10578, 11, 311, 279, 4876, 3981, 11, 6661, 2754, 26, 279, 13340, 369, 1855, 3927, 5222, 13, 6104, 420, 1253, 387, 264, 6725, 430, 1690, 315, 603, 527, 11537, 449, 304, 279, 4216, 28711, 449, 3254, 1355, 25734, 481, 4339, 11, 1268, 1587, 420, 3881, 311, 75837, 25734, 69391, 4339, 30, 6914, 596, 13488, 420, 627, 32052, 1205, 11720, 7754, 304, 15174, 430, 9522, 13347, 11, 4885, 0, 1115, 2046, 11, 358, 2846, 2133, 311, 4430, 449, 499, 279, 1455, 7524, 6725, 430, 358, 617, 1511, 311, 1520, 4236, 6573, 1463, 872, 5222, 4791, 43245, 6677, 13, 358, 617, 1511, 420, 304, 1475, 538, 430, 358, 617, 15972, 505, 25864, 12, 717, 339, 12239, 13, 1102, 8779, 4236, 2472, 10578, 311, 15062, 6661, 44818, 627, 13347, 11, 4885, 0, 358, 2846, 1203, 420, 2046, 52067, 922, 264, 5526, 8712, 430, 358, 3077, 1027, 25394, 449, 578, 65142, 2635, 689, 77129, 12332, 927, 389, 14318, 13, 9176, 617, 8813, 704, 311, 757, 10371, 369, 15174, 389, 4857, 20236, 2301, 13, 358, 4691, 279, 4029, 422, 420, 374, 2555, 430, 1053, 387, 11190, 11, 323, 279, 594, 13900, 4320, 574, 10035, 13, 763, 420, 1772, 11, 358, 690, 387, 25394, 1148, 20236, 2301, 374, 11, 1268, 311, 1977, 433, 11, 323, 8405, 499, 449, 5070, 311, 1520, 13, 18242, 20236, 2301, 374, 7718, 311, 1057, 4236, 6, 2450, 1606, 3495, 706, 1766, 430, 11469, 433, 374, 832, 315, 279, 4330, 64982, 315, 5403, 7754, 627, 3968, 84, 2301, 374, 4276, 279, 10151, 315, 5403, 5043, 0, 3277, 584, 1373, 20236, 4501, 11, 584, 1373, 4339, 30357, 323, 520, 264, 4478, 430, 6276, 6300, 7645, 11, 1343, 97578, 11, 323, 528, 91983, 13, 1115, 5845, 311, 1373, 1664, 11, 477, 9651, 11, 52797, 304, 19662, 62194, 627, 4599, 4236, 14993, 311, 1373, 20236, 4501, 11, 5403, 62194, 649, 387, 11754, 13, 1115, 8741, 1606, 279, 6742, 506, 15916, 264, 2294, 3568, 315, 25702, 4907, 9522, 13347, 11, 4885, 0, 358, 2846, 2133, 311, 1212, 420, 2046, 596, 5117, 1772, 1022, 304, 264, 10284, 2204, 5216, 1109, 13783, 13, 4418, 956, 11196, 11, 358, 3077, 2751, 1063, 2294, 10631, 311, 1101, 4430, 449, 499, 420, 2046, 627, 2746, 499, 527, 1093, 757, 11, 499, 636, 20343, 505, 2955, 35496, 323, 2010, 7833, 311, 13791, 311, 7782, 682, 279, 4509, 29646, 13, 4418, 956, 499, 2744, 3021, 459, 28391, 311, 27100, 13791, 596, 24519, 2162, 10799, 5380, 3923, 8741, 11, 3582, 11, 374, 430, 358, 636, 2162, 449, 682, 315, 856, 70855, 11, 323, 358, 2846, 539, 2216, 2771, 1148, 311, 656, 1828, 13, 5112, 11, 358, 13383, 430, 358, 5828, 956, 7373, 10235, 311, 1212, 49682, 627, 10445, 30, 8489, 11, 1606, 279, 89328, 9863, 304, 856, 2162, 1051, 539, 3686, 743, 477, 17057, 369, 757, 311, 1524, 3240, 311, 1781, 922, 49682, 477, 4737, 264, 8577, 311, 13791, 13, 14910, 358, 6420, 430, 358, 617, 2380, 2697, 6305, 11, 2380, 73756, 12875, 11, 323, 264, 10177, 4401, 2212, 279, 3838, 3339, 433, 1120, 264, 2766, 5107, 311, 4822, 17057, 5380, 49388, 11, 1148, 8741, 374, 430, 856, 5128, 11, 502, 10799, 5334, 5675, 304, 279, 11493, 6945, 315, 856, 2162, 320, 269, 3779, 311, 279, 27402, 315, 10799, 304, 856, 9522, 12389, 499, 3463, 922, 32647, 323, 65890, 14715, 48704, 4893, 304, 279, 6498, 4221, 5380, 22186, 433, 2216, 5030, 422, 584, 4639, 420, 7434, 311, 20558, 13016, 5380, 791, 6498, 4221, 374, 264, 8631, 2442, 76585, 4221, 13, 3277, 584, 6604, 477, 1373, 20236, 4501, 11, 1070, 374, 264, 5933, 37390, 430, 13980, 13, 1115, 52797, 304, 62194, 11, 71722, 11, 20047, 11, 323, 7645, 13, 578, 32647, 323, 65890, 14715, 48704, 4893, 323, 4339, 304, 6498, 3041, 433, 1202, 37390, 13, 1115, 18273, 488, 315, 6498, 11, 279, 33834, 323, 40291, 11, 279, 8599, 8982, 11, 323, 279, 31799, 315, 4339, 11, 902, 4442, 994, 9277, 304, 4401, 8982, 11, 52797, 304, 1057, 8830, 323, 1694, 16365, 627, 10438, 856, 42863, 4967, 11, 358, 1047, 2646, 3463, 922, 279, 5536, 430, 32647, 323, 65890, 14715, 48704, 4893, 617, 389, 43529, 11, 71722, 11, 20047, 11, 323, 7438, 13, 358, 27136, 3287, 956, 1440, 430, 279, 6498, 4221, 374, 264, 32647, 7394, 4221, 477, 1148, 430, 8967, 369, 7754, 13, 4800, 11, 358, 9539, 1518, 430, 555, 21650, 12917, 279, 7434, 315, 32647, 323, 9522, 791, 2316, 315, 34007, 51, 11, 477, 36542, 42170, 11688, 23258, 60329, 11, 574, 832, 430, 574, 502, 311, 757, 304, 279, 1060, 220, 1049, 23, 1524, 3582, 358, 574, 45314, 1667, 1139, 856, 7076, 439, 459, 72146, 13, 358, 1047, 6575, 439, 264, 24978, 11326, 11, 3063, 11326, 323, 53082, 7395, 11, 5403, 21623, 380, 11, 9474, 53082, 17028, 859, 11, 323, 30676, 7061, 13, 7570, 449, 682, 315, 420, 3217, 323, 5542, 826, 11, 358, 1047, 2646, 6755, 315, 279, 34007, 51, 28706, 13, 358, 1047, 1027, 16572, 304, 1690, 2204, 20414, 323, 7620, 11, 323, 3686, 358, 7020, 430, 1070, 1051, 4236, 430, 1051, 16054, 1555, 279, 45963, 627, 2028, 3288, 757, 389, 264, 4443, 9131, 311, 4048, 810, 922, 22709, 2635, 689, 11, 323, 311, 6056, 704, 4967, 311, 2731, 1520, 682, 4236, 323, 50794, 13, 70332, 1667, 3010, 11, 358, 1440, 430, 11125, 7701, 10968, 4967, 304, 279, 8198, 315, 5403, 574, 279, 1888, 5597, 430, 358, 1903, 11, 439, 433, 743, 757, 389, 264, 502, 1853, 304, 856, 16627, 7076, 323, 3984, 757, 449, 279, 5995, 7512, 323, 6677, 311, 1888, 1520, 4236, 449, 22709, 2635, 689, 627, 32, 36542, 42170, 9522, 32, 22498, 315, 50794, 323, 6699, 6968, 13537, 323, 5655, 6147, 8830, 323, 6677, 1555, 459, 36681, 5411, 5603, 311, 1888, 1520, 1057, 2911, 389, 872, 1853, 449, 22709, 2635, 689, 13, 128001, -100, 48149, 8152, 60426, 369, 15432, 55, 16500, 5410, 30387, 95273, 80390, 7524, 627, 7, 17, 8, 20026, 3430, 3196, 389, 13890, 9473, 4478, 315, 220, 16, 13, 2790, 627, 63818, 369, 1023, 16097, 690, 387, 3196, 389, 75729, 35197, 753, 7729, 304, 2515, 520, 279, 892, 315, 2015, 13, 9359, 701, 2254, 18740, 369, 3649, 627, 34160, 311, 279, 8738, 17509, 7138, 315, 279, 1510, 2626, 4676, 11, 2385, 3430, 690, 3136, 311, 387, 3917, 311, 459, 4907, 1765, 14215, 28174, 304, 279, 1567, 315, 459, 5376, 304, 279, 5707, 1963, 439, 7633, 3770, 627, 644, 1684, 315, 279, 17250, 82382, 3966, 304, 1521, 36218, 3115, 11, 75729, 35197, 690, 990, 449, 6444, 311, 279, 1888, 315, 1202, 5845, 311, 29376, 13579, 323, 1120, 23444, 9889, 9899, 1715, 4442, 3984, 584, 5371, 520, 3325, 220, 1399, 2919, 11084, 5406, 627, 791, 21913, 6070, 374, 7524, 7214, 389, 502, 10373, 320, 8370, 527, 3917, 311, 1057, 26586, 570, 20026, 3430, 4907, 1765, 14215, 690, 387, 16997, 1701, 459, 9473, 4478, 315, 220, 16, 13, 2790, 497, 6250, 8, 690, 3881, 311, 1828, 2305, 753, 59721, 320, 797, 13, 6664, 570, 1442, 279, 2380, 2305, 5578, 5707, 3430, 824, 20929, 374, 3770, 279, 8521, 26954, 11, 912, 1765, 14215, 690, 3881, 13, 3580, 2007, 3770, 369, 10507, 315, 5370, 5990, 315, 1765, 14215, 29217, 627, 16, 98527, 3430, 4907, 1765, 14215, 690, 387, 16997, 1701, 459, 9473, 4478, 315, 220, 16, 13, 2790, 627, 33775, 8242, 14215, 57994, 512, 16593, 6250, 220, 845, 11, 220, 1049, 24, 8922, 25, 52, 815, 13, 12634, 8245, 17128, 198, 2746, 499, 10932, 264, 11612, 2246, 11, 4587, 4299, 1618, 627, 1271, 2680, 279, 7665, 47431, 15895, 8167, 9676, 11, 4587, 4299, 1618, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 2028, 4793, 653, 3695, 682, 3766, 16079, 1234, 279, 7718, 3488, 25, 1054, 4438, 649, 584, 1520, 12671, 4740, 6975, 922, 54168, 11, 10026, 13073, 11, 323, 9349, 11, 13324, 2643, 1390, 311, 1440, 810, 922, 1268, 814, 649, 5471, 9349, 1555, 83483, 261, 21623, 627, 78646, 690, 3881, 279, 7512, 814, 617, 19426, 311, 89959, 6848, 430, 814, 649, 1180, 389, 304, 872, 6439, 311, 12192, 9498, 12135, 627, 78646, 690, 3881, 872, 6677, 311, 1893, 1957, 6787, 311, 36001, 55579, 304, 323, 5255, 5471, 9562, 5029, 9349, 382, 19997, 20038, 9749, 2391, 14026, 3861, 13, 5031, 485, 1124, 315, 279, 12939, 315, 1521, 20038, 2728, 279, 4443, 7138, 315, 279, 2038, 690, 387, 14407, 13, 1226, 4070, 1027, 7556, 264, 2763, 922, 2410, 323, 1268, 433, 649, 387, 1511, 304, 264, 8389, 1648, 13, 11450, 11, 584, 527, 2133, 311, 4358, 279, 2410, 430, 1855, 315, 603, 706, 311, 1304, 264, 6811, 627, 3947, 527, 1690, 9547, 430, 17210, 311, 9349, 13, 39168, 287, 9349, 505, 12765, 323, 23391, 3674, 12437, 369, 5127, 527, 6485, 4819, 430, 1397, 603, 311, 1427, 520, 264, 8205, 315, 2204, 9547, 7953, 1057, 1866, 5133, 3268, 323, 28423, 13, 42224, 4504, 3674, 12437, 7612, 584, 1855, 1005, 1057, 2410, 304, 264, 6928, 1648, 627, 17673, 7667, 3083, 10245, 21800, 30211, 3507, 5257, 41591, 5257, 3891, 3087, 3247, 26063, 19645, 12244, 98790, 20890, 3651, 5257, 95757, 3247, 7703, 3378, 38225, 5257, 93219, 52912, 468, 22838, 63593, 20076, 90086, 83435, 3501, 21752, 50, 5257, 7354, 8867, 1753, 2147, 13398, 56, 3651, 68788, 1831, 1753, 98180, 48630, 5604, 627, 12465, 704, 264, 3048, 315, 279, 32406, 9983, 12007, 52032, 323, 3477, 433, 3871, 13, 31417, 27511, 7640, 311, 12192, 2536, 76827, 768, 323, 3674, 12437, 627, 17673, 7667, 3083, 10245, 21800, 30211, 3507, 5257, 19102, 3247, 7703, 3378, 38225, 86239, 3247, 69795, 53083, 4592, 56, 627, 791, 1193, 1274, 889, 690, 1518, 279, 32313, 527, 279, 10795, 60138, 520, 51970, 753, 4783, 13, 2435, 690, 1193, 1518, 279, 5016, 2082, 13, 2435, 2834, 1431, 1518, 279, 4236, 529, 2539, 836, 627, 96975, 25, 11812, 469, 4403, 42, 38876, 426, 47052, 6328, 88160, 56, 220, 1313, 22308, 3651, 66226, 386, 49275, 19668, 3507, 473, 965, 11492, 11, 66226, 14083, 468, 44006, 50969, 21170, 10245, 25, 220, 1313, 39, 41, 1112, 56, 627, 6153, 13324, 617, 682, 5439, 279, 4443, 2082, 389, 872, 32313, 11, 2187, 1124, 922, 220, 868, 4520, 311, 4686, 1124, 627, 4599, 5127, 374, 2884, 11, 6667, 1124, 323, 3351, 389, 311, 279, 1828, 5820, 627, 1687, 682, 617, 459, 6776, 311, 1520, 842, 5029, 11737, 323, 9349, 304, 12135, 13, 2684, 527, 2678, 6299, 1855, 315, 603, 649, 656, 1475, 1938, 311, 387, 20724, 13, 2030, 994, 584, 1212, 311, 4933, 1057, 24196, 3871, 11, 584, 3240, 311, 1893, 264, 7351, 369, 2349, 430, 649, 1304, 1057, 58216, 11, 8853, 323, 33100, 6220, 7634, 311, 387, 13, 20474, 11, 499, 1541, 1431, 617, 311, 3868, 369, 9349, 311, 3621, 311, 1304, 6928, 2349, 13, 2684, 527, 11193, 1855, 315, 603, 649, 656, 311, 12192, 2536, 76827, 768, 1603, 9349, 3596, 8741, 627, 2675, 439, 279, 36528, 1288, 842, 420, 6574, 2204, 1109, 279, 3885, 13, 1472, 690, 387, 31474, 264, 15676, 10652, 627, 11087, 2212, 279, 1912, 323, 2610, 5127, 311, 4430, 1148, 574, 32180, 922, 279, 76579, 2068, 13, 6914, 1124, 1440, 430, 872, 18463, 690, 1520, 6179, 279, 2068, 323, 1520, 8475, 34074, 311, 387, 1903, 304, 279, 3938, 13, 4740, 5127, 706, 6222, 11, 2610, 1124, 1148, 13189, 315, 279, 76579, 2068, 814, 1781, 1288, 387, 5614, 304, 279, 3938, 477, 430, 814, 2643, 1093, 311, 1518, 7108, 13, 1442, 814, 1053, 1093, 2555, 5614, 2610, 1124, 1268, 814, 1053, 2349, 433, 323, 3249, 13, 13896, 420, 2038, 304, 279, 1620, 5856, 8773, 18559, 627, 39787, 922, 701, 26081, 323, 872, 6848, 922, 12135, 627, 3923, 7640, 1436, 499, 16988, 304, 430, 1053, 12192, 6677, 11, 33726, 323, 21463, 4315, 701, 26081, 430, 1862, 9498, 12135, 5380, 39787, 922, 701, 2978, 4676, 323, 279, 8244, 7829, 430, 6866, 5552, 311, 12135, 323, 9349, 627, 3957, 420, 4676, 8244, 374, 264, 6220, 2035, 5380, 29089, 701, 26081, 1180, 422, 814, 5602, 264, 9349, 31965, 5380, 3957, 1070, 264, 22542, 6822, 520, 701, 2978, 499, 1436, 4358, 5029, 9349, 10742, 449, 5380, 3923, 7640, 649, 499, 656, 311, 12192, 9498, 12135, 11, 2536, 76827, 768, 11, 323, 3674, 12437, 369, 682, 520, 701, 2978, 30, 128001, 128000, 7412, 100104, 315, 279, 12538, 50093, 529, 6372, 323, 11699, 15766, 304, 279, 18766, 47329, 315, 50281, 198, 75133, 25, 2057, 10765, 279, 28830, 13363, 323, 51286, 47031, 311, 279, 1054, 26915, 50093, 863, 323, 70755, 279, 9320, 505, 12538, 50093, 311, 1268, 279, 1917, 374, 1457, 11, 2737, 22654, 315, 279, 26431, 315, 279, 49428, 315, 71630, 11, 16044, 11, 323, 523, 4023, 894, 2082, 304, 3432, 753, 6617, 5647, 315, 32008, 198, 1016, 14093, 25, 578, 12538, 50093, 15100, 3249, 1274, 1684, 279, 42108, 18852, 449, 264, 24364, 2191, 18848, 1555, 4689, 54168, 323, 40186, 2136, 505, 6617, 488, 627, 10614, 315, 12538, 50093, 42509, 22029, 17910, 2391, 279, 12538, 50093, 320, 14724, 2997, 2038, 389, 279, 3674, 6989, 323, 7100, 6067, 2391, 279, 4261, 8, 46083, 323, 51286, 47031, 279, 12538, 50093, 320, 14724, 2997, 2038, 389, 27409, 279, 9441, 11, 10082, 6296, 13, 81869, 11, 33792, 304, 38983, 5788, 11, 7739, 315, 16924, 11, 2737, 20827, 28533, 323, 503, 26169, 287, 8, 12538, 50093, 323, 279, 68533, 47470, 323, 54250, 92041, 315, 17649, 323, 73888, 2391, 279, 12538, 50093, 320, 14866, 2038, 389, 279, 10463, 287, 1122, 1332, 3510, 1130, 430, 9087, 279, 11639, 21813, 872, 17649, 13, 3082, 430, 1070, 1051, 810, 1274, 889, 1550, 539, 1440, 1268, 311, 1373, 477, 1314, 11, 719, 1070, 1051, 1101, 31839, 889, 7543, 872, 892, 3815, 20207, 5403, 323, 3495, 8, 2650, 12538, 50093, 574, 20646, 1202, 9320, 311, 6617, 488, 320, 14866, 2038, 389, 1268, 279, 10463, 287, 1122, 1332, 3510, 1130, 574, 3025, 311, 1520, 304, 10223, 11, 21686, 11, 323, 17951, 287, 2362, 79688, 8, 12538, 50093, 323, 14990, 15766, 315, 14990, 304, 279, 1917, 430, 1053, 34044, 505, 279, 12538, 50093, 320, 26125, 389, 1268, 14990, 574, 3025, 311, 3665, 5196, 505, 18678, 5423, 1306, 22463, 2163, 4606, 304, 264, 1614, 315, 9622, 8, 2650, 14990, 6924, 36017, 320, 14866, 2038, 389, 1148, 374, 2663, 14990, 753, 21411, 4325, 505, 279, 220, 20, 339, 1555, 279, 220, 24, 339, 9478, 11, 449, 279, 18088, 66477, 15691, 279, 7990, 315, 36017, 1203, 311, 4606, 8, 42986, 315, 40676, 323, 43044, 7220, 100104, 315, 71630, 323, 16044, 2391, 42108, 3115, 320, 14866, 17931, 315, 3878, 323, 2038, 389, 279, 3560, 315, 71630, 323, 279, 16044, 2082, 2391, 430, 892, 8, 3639, 374, 279, 6247, 315, 921, 4023, 894, 30, 320, 18881, 315, 279, 4751, 323, 1202, 26431, 2391, 279, 4261, 8, 29680, 304, 3432, 753, 6617, 5647, 315, 32008, 320, 14866, 459, 6492, 315, 1202, 12939, 2391, 279, 12538, 50093, 1555, 279, 9320, 311, 279, 1828, 4261, 11, 323, 1202, 41961, 311, 6617, 3115, 8, 74977, 198, 44, 63188, 25542, 398, 47470, 198, 46960, 11, 432, 13, 320, 679, 18, 570, 468, 1902, 41321, 323, 10463, 287, 1122, 45651, 25, 13479, 556, 323, 11203, 2819, 13, 23591, 78248, 4606, 13, 220, 1691, 7, 16, 8, 220, 1135, 12, 2031, 627, 22646, 604, 11, 23989, 13, 320, 77, 962, 36434, 5659, 279, 12538, 50093, 311, 279, 12877, 50093, 13, 58891, 505, 3788, 1129, 2185, 57248, 87, 1705, 2726, 82983, 14, 2933, 496, 19379, 14, 4468, 15, 14, 46185, 11597, 88, 19, 24165, 198, 2257, 273, 7453, 11, 426, 13, 386, 13, 320, 77, 962, 570, 2684, 574, 4400, 6453, 922, 279, 12538, 50093, 25, 578, 42108, 33472, 315, 8198, 13, 58891, 505, 1795, 1129, 2185, 15761, 329, 22689, 12871, 14, 16707, 17014, 24, 14, 3947, 92712, 6673, 1626, 69037, 59075, 16454, 1586, 847, 1596, 4282, 62, 791, 1267, 291, 32986, 62, 63826, 1354, 3659, 1117, 66, 1873, 198, 17812, 17648, 11, 362, 13, 320, 679, 18, 570, 11208, 279, 12877, 50093, 6453, 13, 16879, 11930, 12027, 5955, 13, 58891, 1795, 1129, 2185, 522, 589, 337, 7725, 1791, 367, 2726, 13920, 14, 778, 12848, 88, 11610, 1474, 285, 444, 36028, 6458, 486, 10826, 51167, 12, 1154, 22592, 2628, 198, 26694, 301, 7197, 11, 432, 2637, 612, 735, 27054, 301, 11, 480, 13, 320, 1049, 22, 570, 921, 4023, 894, 323, 14236, 315, 6929, 25, 3053, 279, 35460, 315, 523, 4023, 894, 67422, 316, 553, 17959, 369, 74958, 6929, 13, 10139, 315, 28058, 50281, 13, 220, 21, 7, 19, 705, 220, 16443, 12, 13121, 13, 128001, 128000, 5116, 17674, 99489, 5296, 555, 2570, 75696, 4181, 28898, 430, 364, 12555, 3924, 6, 706, 2231, 279, 3085, 315, 220, 605, 3297, 1603, 364, 12555, 2056, 518, 430, 872, 1866, 9096, 25243, 7293, 389, 279, 2007, 11, 719, 430, 364, 1820, 6996, 315, 264, 6928, 2077, 374, 23351, 4741, 7351, 4527, 7429, 264, 17703, 555, 510, 27887, 309, 27476, 6419, 1216, 60, 8405, 3229, 323, 2457, 11, 22797, 311, 364, 791, 96821, 6, 315, 220, 18, 5651, 11, 323, 34194, 430, 364, 12555, 473, 6, 374, 17177, 20199, 3297, 71, 365, 11, 323, 364, 12555, 432, 6, 374, 3842, 17559, 13, 128001, 128000, 3936, 25, 19332, 304, 279, 549, 815, 885, 13, 8681, 369, 66433, 5761, 3477, 25, 1115, 374, 856, 2132, 5613, 5409, 7782, 11, 1664, 8002, 1619, 323, 27220, 6555, 25703, 7427, 1903, 9086, 264, 6710, 315, 7060, 1989, 323, 690, 3790, 1589, 67758, 323, 3544, 9244, 6847, 10035, 358, 690, 3136, 311, 3780, 420, 6883, 57082, 27856, 11, 19418, 499, 2019, 420, 3477, 62991, 279, 2027, 304, 264, 84208, 477, 653, 1517, 31436, 3177, 5380, 1517, 31436, 128001 ]
[ -100, 2028, 4793, 653, 3695, 682, 3766, 16079, 1234, 279, 7718, 3488, 25, 1054, 4438, 649, 584, 1520, 12671, 4740, 6975, 922, 54168, 11, 10026, 13073, 11, 323, 9349, 11, 13324, 2643, 1390, 311, 1440, 810, 922, 1268, 814, 649, 5471, 9349, 1555, 83483, 261, 21623, 627, 78646, 690, 3881, 279, 7512, 814, 617, 19426, 311, 89959, 6848, 430, 814, 649, 1180, 389, 304, 872, 6439, 311, 12192, 9498, 12135, 627, 78646, 690, 3881, 872, 6677, 311, 1893, 1957, 6787, 311, 36001, 55579, 304, 323, 5255, 5471, 9562, 5029, 9349, 382, 19997, 20038, 9749, 2391, 14026, 3861, 13, 5031, 485, 1124, 315, 279, 12939, 315, 1521, 20038, 2728, 279, 4443, 7138, 315, 279, 2038, 690, 387, 14407, 13, 1226, 4070, 1027, 7556, 264, 2763, 922, 2410, 323, 1268, 433, 649, 387, 1511, 304, 264, 8389, 1648, 13, 11450, 11, 584, 527, 2133, 311, 4358, 279, 2410, 430, 1855, 315, 603, 706, 311, 1304, 264, 6811, 627, 3947, 527, 1690, 9547, 430, 17210, 311, 9349, 13, 39168, 287, 9349, 505, 12765, 323, 23391, 3674, 12437, 369, 5127, 527, 6485, 4819, 430, 1397, 603, 311, 1427, 520, 264, 8205, 315, 2204, 9547, 7953, 1057, 1866, 5133, 3268, 323, 28423, 13, 42224, 4504, 3674, 12437, 7612, 584, 1855, 1005, 1057, 2410, 304, 264, 6928, 1648, 627, 17673, 7667, 3083, 10245, 21800, 30211, 3507, 5257, 41591, 5257, 3891, 3087, 3247, 26063, 19645, 12244, 98790, 20890, 3651, 5257, 95757, 3247, 7703, 3378, 38225, 5257, 93219, 52912, 468, 22838, 63593, 20076, 90086, 83435, 3501, 21752, 50, 5257, 7354, 8867, 1753, 2147, 13398, 56, 3651, 68788, 1831, 1753, 98180, 48630, 5604, 627, 12465, 704, 264, 3048, 315, 279, 32406, 9983, 12007, 52032, 323, 3477, 433, 3871, 13, 31417, 27511, 7640, 311, 12192, 2536, 76827, 768, 323, 3674, 12437, 627, 17673, 7667, 3083, 10245, 21800, 30211, 3507, 5257, 19102, 3247, 7703, 3378, 38225, 86239, 3247, 69795, 53083, 4592, 56, 627, 791, 1193, 1274, 889, 690, 1518, 279, 32313, 527, 279, 10795, 60138, 520, 51970, 753, 4783, 13, 2435, 690, 1193, 1518, 279, 5016, 2082, 13, 2435, 2834, 1431, 1518, 279, 4236, 529, 2539, 836, 627, 96975, 25, 11812, 469, 4403, 42, 38876, 426, 47052, 6328, 88160, 56, 220, 1313, 22308, 3651, 66226, 386, 49275, 19668, 3507, 473, 965, 11492, 11, 66226, 14083, 468, 44006, 50969, 21170, 10245, 25, 220, 1313, 39, 41, 1112, 56, 627, 6153, 13324, 617, 682, 5439, 279, 4443, 2082, 389, 872, 32313, 11, 2187, 1124, 922, 220, 868, 4520, 311, 4686, 1124, 627, 4599, 5127, 374, 2884, 11, 6667, 1124, 323, 3351, 389, 311, 279, 1828, 5820, 627, 1687, 682, 617, 459, 6776, 311, 1520, 842, 5029, 11737, 323, 9349, 304, 12135, 13, 2684, 527, 2678, 6299, 1855, 315, 603, 649, 656, 1475, 1938, 311, 387, 20724, 13, 2030, 994, 584, 1212, 311, 4933, 1057, 24196, 3871, 11, 584, 3240, 311, 1893, 264, 7351, 369, 2349, 430, 649, 1304, 1057, 58216, 11, 8853, 323, 33100, 6220, 7634, 311, 387, 13, 20474, 11, 499, 1541, 1431, 617, 311, 3868, 369, 9349, 311, 3621, 311, 1304, 6928, 2349, 13, 2684, 527, 11193, 1855, 315, 603, 649, 656, 311, 12192, 2536, 76827, 768, 1603, 9349, 3596, 8741, 627, 2675, 439, 279, 36528, 1288, 842, 420, 6574, 2204, 1109, 279, 3885, 13, 1472, 690, 387, 31474, 264, 15676, 10652, 627, 11087, 2212, 279, 1912, 323, 2610, 5127, 311, 4430, 1148, 574, 32180, 922, 279, 76579, 2068, 13, 6914, 1124, 1440, 430, 872, 18463, 690, 1520, 6179, 279, 2068, 323, 1520, 8475, 34074, 311, 387, 1903, 304, 279, 3938, 13, 4740, 5127, 706, 6222, 11, 2610, 1124, 1148, 13189, 315, 279, 76579, 2068, 814, 1781, 1288, 387, 5614, 304, 279, 3938, 477, 430, 814, 2643, 1093, 311, 1518, 7108, 13, 1442, 814, 1053, 1093, 2555, 5614, 2610, 1124, 1268, 814, 1053, 2349, 433, 323, 3249, 13, 13896, 420, 2038, 304, 279, 1620, 5856, 8773, 18559, 627, 39787, 922, 701, 26081, 323, 872, 6848, 922, 12135, 627, 3923, 7640, 1436, 499, 16988, 304, 430, 1053, 12192, 6677, 11, 33726, 323, 21463, 4315, 701, 26081, 430, 1862, 9498, 12135, 5380, 39787, 922, 701, 2978, 4676, 323, 279, 8244, 7829, 430, 6866, 5552, 311, 12135, 323, 9349, 627, 3957, 420, 4676, 8244, 374, 264, 6220, 2035, 5380, 29089, 701, 26081, 1180, 422, 814, 5602, 264, 9349, 31965, 5380, 3957, 1070, 264, 22542, 6822, 520, 701, 2978, 499, 1436, 4358, 5029, 9349, 10742, 449, 5380, 3923, 7640, 649, 499, 656, 311, 12192, 9498, 12135, 11, 2536, 76827, 768, 11, 323, 3674, 12437, 369, 682, 520, 701, 2978, 30, 128001, -100, 7412, 100104, 315, 279, 12538, 50093, 529, 6372, 323, 11699, 15766, 304, 279, 18766, 47329, 315, 50281, 198, 75133, 25, 2057, 10765, 279, 28830, 13363, 323, 51286, 47031, 311, 279, 1054, 26915, 50093, 863, 323, 70755, 279, 9320, 505, 12538, 50093, 311, 1268, 279, 1917, 374, 1457, 11, 2737, 22654, 315, 279, 26431, 315, 279, 49428, 315, 71630, 11, 16044, 11, 323, 523, 4023, 894, 2082, 304, 3432, 753, 6617, 5647, 315, 32008, 198, 1016, 14093, 25, 578, 12538, 50093, 15100, 3249, 1274, 1684, 279, 42108, 18852, 449, 264, 24364, 2191, 18848, 1555, 4689, 54168, 323, 40186, 2136, 505, 6617, 488, 627, 10614, 315, 12538, 50093, 42509, 22029, 17910, 2391, 279, 12538, 50093, 320, 14724, 2997, 2038, 389, 279, 3674, 6989, 323, 7100, 6067, 2391, 279, 4261, 8, 46083, 323, 51286, 47031, 279, 12538, 50093, 320, 14724, 2997, 2038, 389, 27409, 279, 9441, 11, 10082, 6296, 13, 81869, 11, 33792, 304, 38983, 5788, 11, 7739, 315, 16924, 11, 2737, 20827, 28533, 323, 503, 26169, 287, 8, 12538, 50093, 323, 279, 68533, 47470, 323, 54250, 92041, 315, 17649, 323, 73888, 2391, 279, 12538, 50093, 320, 14866, 2038, 389, 279, 10463, 287, 1122, 1332, 3510, 1130, 430, 9087, 279, 11639, 21813, 872, 17649, 13, 3082, 430, 1070, 1051, 810, 1274, 889, 1550, 539, 1440, 1268, 311, 1373, 477, 1314, 11, 719, 1070, 1051, 1101, 31839, 889, 7543, 872, 892, 3815, 20207, 5403, 323, 3495, 8, 2650, 12538, 50093, 574, 20646, 1202, 9320, 311, 6617, 488, 320, 14866, 2038, 389, 1268, 279, 10463, 287, 1122, 1332, 3510, 1130, 574, 3025, 311, 1520, 304, 10223, 11, 21686, 11, 323, 17951, 287, 2362, 79688, 8, 12538, 50093, 323, 14990, 15766, 315, 14990, 304, 279, 1917, 430, 1053, 34044, 505, 279, 12538, 50093, 320, 26125, 389, 1268, 14990, 574, 3025, 311, 3665, 5196, 505, 18678, 5423, 1306, 22463, 2163, 4606, 304, 264, 1614, 315, 9622, 8, 2650, 14990, 6924, 36017, 320, 14866, 2038, 389, 1148, 374, 2663, 14990, 753, 21411, 4325, 505, 279, 220, 20, 339, 1555, 279, 220, 24, 339, 9478, 11, 449, 279, 18088, 66477, 15691, 279, 7990, 315, 36017, 1203, 311, 4606, 8, 42986, 315, 40676, 323, 43044, 7220, 100104, 315, 71630, 323, 16044, 2391, 42108, 3115, 320, 14866, 17931, 315, 3878, 323, 2038, 389, 279, 3560, 315, 71630, 323, 279, 16044, 2082, 2391, 430, 892, 8, 3639, 374, 279, 6247, 315, 921, 4023, 894, 30, 320, 18881, 315, 279, 4751, 323, 1202, 26431, 2391, 279, 4261, 8, 29680, 304, 3432, 753, 6617, 5647, 315, 32008, 320, 14866, 459, 6492, 315, 1202, 12939, 2391, 279, 12538, 50093, 1555, 279, 9320, 311, 279, 1828, 4261, 11, 323, 1202, 41961, 311, 6617, 3115, 8, 74977, 198, 44, 63188, 25542, 398, 47470, 198, 46960, 11, 432, 13, 320, 679, 18, 570, 468, 1902, 41321, 323, 10463, 287, 1122, 45651, 25, 13479, 556, 323, 11203, 2819, 13, 23591, 78248, 4606, 13, 220, 1691, 7, 16, 8, 220, 1135, 12, 2031, 627, 22646, 604, 11, 23989, 13, 320, 77, 962, 36434, 5659, 279, 12538, 50093, 311, 279, 12877, 50093, 13, 58891, 505, 3788, 1129, 2185, 57248, 87, 1705, 2726, 82983, 14, 2933, 496, 19379, 14, 4468, 15, 14, 46185, 11597, 88, 19, 24165, 198, 2257, 273, 7453, 11, 426, 13, 386, 13, 320, 77, 962, 570, 2684, 574, 4400, 6453, 922, 279, 12538, 50093, 25, 578, 42108, 33472, 315, 8198, 13, 58891, 505, 1795, 1129, 2185, 15761, 329, 22689, 12871, 14, 16707, 17014, 24, 14, 3947, 92712, 6673, 1626, 69037, 59075, 16454, 1586, 847, 1596, 4282, 62, 791, 1267, 291, 32986, 62, 63826, 1354, 3659, 1117, 66, 1873, 198, 17812, 17648, 11, 362, 13, 320, 679, 18, 570, 11208, 279, 12877, 50093, 6453, 13, 16879, 11930, 12027, 5955, 13, 58891, 1795, 1129, 2185, 522, 589, 337, 7725, 1791, 367, 2726, 13920, 14, 778, 12848, 88, 11610, 1474, 285, 444, 36028, 6458, 486, 10826, 51167, 12, 1154, 22592, 2628, 198, 26694, 301, 7197, 11, 432, 2637, 612, 735, 27054, 301, 11, 480, 13, 320, 1049, 22, 570, 921, 4023, 894, 323, 14236, 315, 6929, 25, 3053, 279, 35460, 315, 523, 4023, 894, 67422, 316, 553, 17959, 369, 74958, 6929, 13, 10139, 315, 28058, 50281, 13, 220, 21, 7, 19, 705, 220, 16443, 12, 13121, 13, 128001, -100, 5116, 17674, 99489, 5296, 555, 2570, 75696, 4181, 28898, 430, 364, 12555, 3924, 6, 706, 2231, 279, 3085, 315, 220, 605, 3297, 1603, 364, 12555, 2056, 518, 430, 872, 1866, 9096, 25243, 7293, 389, 279, 2007, 11, 719, 430, 364, 1820, 6996, 315, 264, 6928, 2077, 374, 23351, 4741, 7351, 4527, 7429, 264, 17703, 555, 510, 27887, 309, 27476, 6419, 1216, 60, 8405, 3229, 323, 2457, 11, 22797, 311, 364, 791, 96821, 6, 315, 220, 18, 5651, 11, 323, 34194, 430, 364, 12555, 473, 6, 374, 17177, 20199, 3297, 71, 365, 11, 323, 364, 12555, 432, 6, 374, 3842, 17559, 13, 128001, -100, 3936, 25, 19332, 304, 279, 549, 815, 885, 13, 8681, 369, 66433, 5761, 3477, 25, 1115, 374, 856, 2132, 5613, 5409, 7782, 11, 1664, 8002, 1619, 323, 27220, 6555, 25703, 7427, 1903, 9086, 264, 6710, 315, 7060, 1989, 323, 690, 3790, 1589, 67758, 323, 3544, 9244, 6847, 10035, 358, 690, 3136, 311, 3780, 420, 6883, 57082, 27856, 11, 19418, 499, 2019, 420, 3477, 62991, 279, 2027, 304, 264, 84208, 477, 653, 1517, 31436, 3177, 5380, 1517, 31436, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78 ]
[ 128000, 2028, 4652, 5727, 279, 330, 50219, 55982, 315, 56046, 369, 549, 815, 13, 3314, 5234, 7862, 10246, 438, 83625, 320, 68, 1326, 13, 15140, 14929, 3813, 11, 24229, 5403, 11, 323, 13077, 8, 3235, 279, 3160, 315, 279, 15140, 627, 3947, 374, 1101, 264, 2723, 311, 264, 37100, 1005, 2472, 315, 279, 15013, 18045, 11188, 627, 3947, 374, 1101, 264, 2723, 311, 264, 37100, 1005, 2472, 315, 279, 9671, 11188, 627, 2069, 1326, 13, 15140, 14929, 3813, 11, 24229, 5403, 11, 323, 13077, 8, 3235, 279, 3160, 315, 279, 65505, 627, 20644, 13857, 11355, 393, 13, 11826, 13, 2052, 10734, 15516, 13, 128001, 128000, 2460, 856, 2324, 358, 574, 264, 356, 5575, 627, 40, 574, 279, 5575, 430, 18677, 538, 11, 3952, 8554, 11, 7318, 6666, 11, 1047, 459, 17057, 38266, 11, 20041, 2216, 2653, 11, 719, 1053, 2103, 636, 1193, 356, 753, 627, 644, 856, 31018, 538, 358, 4745, 856, 1176, 7151, 449, 264, 12239, 315, 220, 3076, 627, 40, 3940, 94121, 4359, 323, 358, 67797, 311, 5371, 539, 1193, 459, 362, 369, 856, 1828, 2380, 40786, 11, 719, 1101, 459, 362, 369, 856, 1620, 12239, 627, 40, 1101, 74389, 3794, 459, 362, 323, 6267, 304, 856, 8486, 430, 1054, 40, 1097, 779, 6380, 323, 26259, 369, 459, 362, 389, 856, 7151, 113068, 40, 3952, 856, 2132, 7151, 323, 439, 358, 23415, 433, 304, 311, 856, 14561, 358, 1071, 1054, 2028, 374, 459, 362, 11453, 358, 1550, 539, 11196, 477, 1781, 922, 279, 7151, 1578, 627, 4599, 358, 4036, 856, 12239, 369, 279, 7151, 358, 4036, 459, 362, 4999, 40, 649, 539, 3371, 499, 279, 1566, 892, 358, 5371, 459, 362, 389, 459, 7151, 4999, 13359, 499, 11, 9901, 499, 11, 9901, 499, 10811, 3771, 369, 10923, 18452, 18693, 311, 387, 264, 40149, 304, 1057, 6439, 449, 279, 5070, 1364, 5825, 627, 128001, 128000, 87115, 1598, 25, 96425, 29838, 2308, 482, 578, 28351, 21785, 11, 38437, 64, 445, 76064, 12160, 77, 612, 7043, 445, 1056, 11, 5887, 220, 679, 20, 11, 8415, 13, 220, 1399, 11, 2199, 220, 1041, 12, 4645, 627, 39522, 301, 30474, 4910, 11, 29838, 2308, 753, 29514, 43280, 41247, 11, 574, 27989, 311, 12192, 279, 990, 315, 1884, 13820, 568, 64747, 13, 763, 220, 7285, 22, 439, 6576, 520, 14438, 9601, 12604, 13, 1389, 264, 8821, 23763, 5502, 505, 279, 384, 621, 90492, 14756, 1389, 568, 44224, 35074, 321, 1245, 311, 41468, 578, 14438, 9601, 12797, 727, 6017, 323, 22653, 426, 675, 5294, 578, 23251, 804, 753, 53125, 13, 4314, 1051, 8272, 304, 220, 7285, 23, 555, 5234, 6825, 11, 1578, 36762, 555, 35074, 321, 1245, 11, 449, 1495, 555, 622, 1345, 13, 54072, 11, 323, 264, 4726, 23251, 804, 753, 53125, 36762, 555, 96425, 29838, 2308, 13, 10541, 279, 1403, 1891, 5548, 527, 4528, 304, 3645, 814, 527, 1633, 2204, 304, 2262, 1389, 279, 220, 7285, 22, 832, 706, 264, 4401, 2698, 68, 3059, 315, 19837, 323, 11012, 3235, 279, 1948, 315, 1855, 17496, 2033, 2199, 11, 24770, 520, 279, 5740, 555, 17637, 505, 12656, 69005, 7211, 753, 6498, 23251, 804, 315, 220, 10828, 22, 25, 2949, 1855, 2046, 279, 53125, 3984, 49685, 8310, 369, 7446, 10925, 323, 8554, 11, 1418, 264, 24779, 3634, 574, 5535, 369, 6170, 389, 279, 9282, 627, 33, 675, 5294, 753, 842, 2320, 9724, 44894, 264, 4018, 16392, 304, 264, 93484, 449, 813, 1866, 4376, 1773, 68668, 26610, 48809, 63266, 311, 279, 13633, 4580, 30488, 433, 627, 47692, 23791, 374, 279, 22641, 804, 753, 2763, 6957, 279, 1060, 627, 32, 30673, 20247, 374, 27000, 304, 1077, 2219, 22155, 315, 279, 4038, 1855, 315, 902, 5097, 3823, 1376, 25, 8954, 304, 279, 16265, 1565, 4038, 1389, 7552, 320, 29296, 220, 2397, 8, 449, 14425, 57440, 19837, 323, 294, 2715, 347, 321, 44727, 304, 1077, 9072, 11, 323, 5936, 320, 29296, 220, 3076, 8, 12203, 3935, 1570, 12512, 264, 12224, 753, 5392, 478, 9072, 323, 15691, 8365, 315, 1948, 72, 661, 323, 264, 13863, 4124, 627, 258, 10535, 38940, 323, 88808, 645, 11, 439, 1664, 439, 304, 832, 315, 1077, 1455, 6366, 5707, 36692, 627, 128001, 128000, 11699, 16053, 11, 28859, 11, 87212, 1413, 382, 2181, 5084, 1093, 304, 279, 1566, 2478, 1667, 433, 706, 1027, 264, 2466, 9327, 311, 1304, 27711, 45188, 1139, 6305, 552, 13, 358, 1505, 1124, 682, 311, 387, 28360, 11, 66203, 79863, 11, 323, 814, 4546, 11112, 4400, 3361, 311, 264, 4717, 4676, 13, 4815, 2746, 499, 1390, 264, 2523, 57689, 6305, 648, 369, 10307, 11333, 520, 2162, 11, 733, 8469, 13, 358, 2846, 539, 379, 47270, 701, 69970, 369, 430, 13, 2030, 311, 3780, 264, 49644, 6305, 648, 439, 701, 32519, 311, 264, 4717, 477, 264, 3703, 449, 264, 32519, 3814, 11, 433, 596, 61983, 8136, 13, 128001 ]
[ -100, 2028, 4652, 5727, 279, 330, 50219, 55982, 315, 56046, 369, 549, 815, 13, 3314, 5234, 7862, 10246, 438, 83625, 320, 68, 1326, 13, 15140, 14929, 3813, 11, 24229, 5403, 11, 323, 13077, 8, 3235, 279, 3160, 315, 279, 15140, 627, 3947, 374, 1101, 264, 2723, 311, 264, 37100, 1005, 2472, 315, 279, 15013, 18045, 11188, 627, 3947, 374, 1101, 264, 2723, 311, 264, 37100, 1005, 2472, 315, 279, 9671, 11188, 627, 2069, 1326, 13, 15140, 14929, 3813, 11, 24229, 5403, 11, 323, 13077, 8, 3235, 279, 3160, 315, 279, 65505, 627, 20644, 13857, 11355, 393, 13, 11826, 13, 2052, 10734, 15516, 13, 128001, -100, 2460, 856, 2324, 358, 574, 264, 356, 5575, 627, 40, 574, 279, 5575, 430, 18677, 538, 11, 3952, 8554, 11, 7318, 6666, 11, 1047, 459, 17057, 38266, 11, 20041, 2216, 2653, 11, 719, 1053, 2103, 636, 1193, 356, 753, 627, 644, 856, 31018, 538, 358, 4745, 856, 1176, 7151, 449, 264, 12239, 315, 220, 3076, 627, 40, 3940, 94121, 4359, 323, 358, 67797, 311, 5371, 539, 1193, 459, 362, 369, 856, 1828, 2380, 40786, 11, 719, 1101, 459, 362, 369, 856, 1620, 12239, 627, 40, 1101, 74389, 3794, 459, 362, 323, 6267, 304, 856, 8486, 430, 1054, 40, 1097, 779, 6380, 323, 26259, 369, 459, 362, 389, 856, 7151, 113068, 40, 3952, 856, 2132, 7151, 323, 439, 358, 23415, 433, 304, 311, 856, 14561, 358, 1071, 1054, 2028, 374, 459, 362, 11453, 358, 1550, 539, 11196, 477, 1781, 922, 279, 7151, 1578, 627, 4599, 358, 4036, 856, 12239, 369, 279, 7151, 358, 4036, 459, 362, 4999, 40, 649, 539, 3371, 499, 279, 1566, 892, 358, 5371, 459, 362, 389, 459, 7151, 4999, 13359, 499, 11, 9901, 499, 11, 9901, 499, 10811, 3771, 369, 10923, 18452, 18693, 311, 387, 264, 40149, 304, 1057, 6439, 449, 279, 5070, 1364, 5825, 627, 128001, -100, 87115, 1598, 25, 96425, 29838, 2308, 482, 578, 28351, 21785, 11, 38437, 64, 445, 76064, 12160, 77, 612, 7043, 445, 1056, 11, 5887, 220, 679, 20, 11, 8415, 13, 220, 1399, 11, 2199, 220, 1041, 12, 4645, 627, 39522, 301, 30474, 4910, 11, 29838, 2308, 753, 29514, 43280, 41247, 11, 574, 27989, 311, 12192, 279, 990, 315, 1884, 13820, 568, 64747, 13, 763, 220, 7285, 22, 439, 6576, 520, 14438, 9601, 12604, 13, 1389, 264, 8821, 23763, 5502, 505, 279, 384, 621, 90492, 14756, 1389, 568, 44224, 35074, 321, 1245, 311, 41468, 578, 14438, 9601, 12797, 727, 6017, 323, 22653, 426, 675, 5294, 578, 23251, 804, 753, 53125, 13, 4314, 1051, 8272, 304, 220, 7285, 23, 555, 5234, 6825, 11, 1578, 36762, 555, 35074, 321, 1245, 11, 449, 1495, 555, 622, 1345, 13, 54072, 11, 323, 264, 4726, 23251, 804, 753, 53125, 36762, 555, 96425, 29838, 2308, 13, 10541, 279, 1403, 1891, 5548, 527, 4528, 304, 3645, 814, 527, 1633, 2204, 304, 2262, 1389, 279, 220, 7285, 22, 832, 706, 264, 4401, 2698, 68, 3059, 315, 19837, 323, 11012, 3235, 279, 1948, 315, 1855, 17496, 2033, 2199, 11, 24770, 520, 279, 5740, 555, 17637, 505, 12656, 69005, 7211, 753, 6498, 23251, 804, 315, 220, 10828, 22, 25, 2949, 1855, 2046, 279, 53125, 3984, 49685, 8310, 369, 7446, 10925, 323, 8554, 11, 1418, 264, 24779, 3634, 574, 5535, 369, 6170, 389, 279, 9282, 627, 33, 675, 5294, 753, 842, 2320, 9724, 44894, 264, 4018, 16392, 304, 264, 93484, 449, 813, 1866, 4376, 1773, 68668, 26610, 48809, 63266, 311, 279, 13633, 4580, 30488, 433, 627, 47692, 23791, 374, 279, 22641, 804, 753, 2763, 6957, 279, 1060, 627, 32, 30673, 20247, 374, 27000, 304, 1077, 2219, 22155, 315, 279, 4038, 1855, 315, 902, 5097, 3823, 1376, 25, 8954, 304, 279, 16265, 1565, 4038, 1389, 7552, 320, 29296, 220, 2397, 8, 449, 14425, 57440, 19837, 323, 294, 2715, 347, 321, 44727, 304, 1077, 9072, 11, 323, 5936, 320, 29296, 220, 3076, 8, 12203, 3935, 1570, 12512, 264, 12224, 753, 5392, 478, 9072, 323, 15691, 8365, 315, 1948, 72, 661, 323, 264, 13863, 4124, 627, 258, 10535, 38940, 323, 88808, 645, 11, 439, 1664, 439, 304, 832, 315, 1077, 1455, 6366, 5707, 36692, 627, 128001, -100, 11699, 16053, 11, 28859, 11, 87212, 1413, 382, 2181, 5084, 1093, 304, 279, 1566, 2478, 1667, 433, 706, 1027, 264, 2466, 9327, 311, 1304, 27711, 45188, 1139, 6305, 552, 13, 358, 1505, 1124, 682, 311, 387, 28360, 11, 66203, 79863, 11, 323, 814, 4546, 11112, 4400, 3361, 311, 264, 4717, 4676, 13, 4815, 2746, 499, 1390, 264, 2523, 57689, 6305, 648, 369, 10307, 11333, 520, 2162, 11, 733, 8469, 13, 358, 2846, 539, 379, 47270, 701, 69970, 369, 430, 13, 2030, 311, 3780, 264, 49644, 6305, 648, 439, 701, 32519, 311, 264, 4717, 477, 264, 3703, 449, 264, 32519, 3814, 11, 433, 596, 61983, 8136, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107 ]
[ 128000, 16257, 40596, 828, 315, 1917, 34906, 3940, 304, 220, 5162, 24, 555, 279, 3723, 19687, 13, 1628, 279, 4430, 315, 7187, 889, 374, 1234, 77, 414, 3384, 374, 1101, 2103, 2288, 1579, 13, 73782, 34906, 3445, 499, 656, 539, 1440, 994, 701, 1828, 15496, 690, 387, 35661, 477, 1268, 433, 690, 387, 13988, 3149, 13, 3402, 299, 68243, 11, 7011, 3051, 11, 1561, 16381, 11, 323, 9576, 6401, 13, 362, 3682, 2349, 374, 430, 2138, 1572, 617, 3719, 1633, 9024, 13, 15483, 11351, 3493, 34906, 16337, 323, 1862, 11, 719, 1101, 3493, 7410, 4460, 369, 279, 5054, 11, 3109, 323, 5897, 1957, 430, 374, 5995, 311, 2686, 1917, 34906, 627, 5920, 5079, 4048, 1268, 311, 5376, 872, 46791, 323, 1005, 872, 19523, 311, 7417, 279, 2890, 11, 6873, 323, 26677, 315, 872, 8689, 13, 578, 1917, 19159, 3403, 3691, 311, 5510, 682, 220, 22, 7239, 1274, 13, 7648, 315, 1521, 6807, 17017, 527, 2109, 3864, 11, 323, 814, 617, 3549, 1690, 19647, 11, 1093, 34324, 11, 430, 1520, 1893, 264, 22556, 17575, 369, 1274, 323, 1101, 2274, 17089, 47379, 13, 1666, 315, 220, 679, 17, 872, 2103, 17551, 220, 22440, 3610, 7931, 16066, 505, 34906, 304, 279, 1917, 13, 12404, 7830, 6498, 220, 7322, 17054, 70625, 44406, 4610, 1155, 3907, 6841, 220, 1691, 11, 220, 679, 15, 4435, 67636, 1226, 2503, 323, 3821, 43749, 315, 78501, 3026, 11, 3278, 323, 2911, 304, 4948, 1917, 5961, 323, 584, 2610, 13520, 1148, 374, 1917, 34906, 30, 2435, 617, 2225, 279, 11005, 323, 279, 690, 311, 1935, 6900, 315, 872, 1866, 6439, 13, 578, 11384, 315, 19542, 2997, 6996, 315, 5070, 11, 78295, 8070, 8141, 304, 279, 1917, 323, 2949, 3230, 5961, 11, 12324, 323, 34906, 5196, 627, 7098, 481, 4363, 824, 53155, 6520, 304, 1005, 824, 1732, 220, 5162, 16, 12, 10866, 15, 482, 622, 6853, 66002, 1764, 220, 1049, 24, 4314, 26206, 12992, 527, 18189, 279, 40574, 292, 360, 332, 4269, 4363, 824, 1732, 323, 690, 3136, 311, 3665, 1057, 4676, 13, 763, 1202, 1455, 14560, 1376, 11, 19542, 374, 264, 6996, 477, 69764, 315, 6913, 3823, 3966, 11, 1778, 439, 26613, 323, 78216, 3691, 11, 17895, 11, 11983, 11, 4335, 3090, 11, 323, 2890, 3600, 13, 45773, 5054, 11429, 323, 78295, 8141, 315, 3691, 527, 279, 6156, 11384, 315, 279, 34906, 430, 13, 13266, 17017, 527, 3629, 1511, 311, 1212, 477, 9407, 9873, 13, 1226, 2011, 92064, 323, 2793, 304, 3339, 1057, 8312, 27271, 810, 11297, 555, 11469, 22556, 27220, 11987, 13, 578, 1193, 1648, 369, 1274, 311, 3351, 7953, 21249, 34906, 323, 872, 34104, 311, 3596, 3880, 3876, 3691, 7729, 374, 311, 3539, 22556, 5528, 3196, 389, 659, 5621, 747, 685, 13, 2893, 264, 11344, 20631, 15344, 15055, 315, 3300, 505, 3927, 1274, 649, 923, 709, 323, 1304, 264, 6908, 6811, 627, 2170, 1664, 439, 279, 8196, 3460, 315, 34906, 13239, 505, 459, 4384, 23152, 11, 1070, 374, 1101, 279, 8340, 34906, 315, 95309, 332, 13283, 72946, 902, 1304, 1274, 47281, 311, 50600, 19338, 11, 38974, 7106, 323, 10723, 4500, 11, 8108, 872, 23791, 26206, 323, 5376, 279, 5326, 315, 42227, 4648, 13, 1102, 374, 2653, 369, 1455, 9053, 311, 1524, 3619, 1917, 34906, 13, 42096, 11, 1070, 706, 1027, 264, 2466, 4585, 369, 16036, 33489, 13, 578, 7410, 505, 12205, 1291, 5961, 369, 279, 11469, 1917, 311, 11142, 1949, 6696, 10396, 1101, 3727, 433, 5107, 369, 1124, 311, 387, 15022, 323, 6144, 872, 29149, 10706, 323, 7187, 505, 28743, 43121, 13, 2435, 1212, 555, 8405, 8689, 449, 3691, 11, 719, 1243, 14297, 1505, 311, 26285, 8689, 311, 387, 659, 1355, 27781, 627, 4959, 1060, 11, 1990, 220, 1272, 3610, 323, 220, 1399, 3610, 1274, 2212, 279, 1917, 2815, 505, 34906, 323, 5552, 19338, 13, 65201, 4522, 374, 3284, 422, 5127, 3782, 3871, 439, 832, 13, 763, 13936, 11, 264, 55944, 220, 1135, 3346, 315, 279, 88398, 3974, 304, 16036, 5789, 13, 2057, 1862, 1521, 11987, 11, 584, 2011, 1101, 7417, 19624, 14054, 11, 8104, 19795, 11, 5942, 323, 43906, 2461, 11, 23391, 20957, 5845, 311, 5662, 264, 22622, 11761, 2385, 13, 13038, 304, 279, 3278, 323, 3026, 889, 527, 3318, 311, 842, 872, 1866, 34906, 323, 19542, 13, 5659, 856, 59485, 11, 1023, 8125, 1093, 279, 45305, 315, 279, 21530, 4435, 11, 64481, 30029, 11, 11759, 323, 3674, 14726, 11, 323, 279, 17915, 315, 279, 7187, 1121, 1120, 505, 279, 1925, 2944, 323, 527, 14580, 13, 54504, 11, 32682, 649, 8356, 279, 11822, 11, 433, 374, 4869, 58271, 315, 50812, 3823, 3966, 627, 1687, 649, 584, 2216, 5510, 279, 1917, 15387, 9259, 304, 813, 60841, 315, 19687, 3727, 279, 1486, 13, 6515, 1088, 8560, 83664, 72162, 46798, 16409, 6276, 12966, 311, 9966, 279, 4907, 872, 13162, 1205, 311, 1862, 16595, 2942, 5865, 11, 2849, 4500, 11, 323, 20438, 13709, 13, 9742, 311, 11930, 11930, 374, 279, 1888, 10500, 2403, 19542, 323, 34906, 13, 29524, 2231, 11, 369, 1855, 1732, 5496, 304, 14560, 19542, 13, 11450, 4028, 279, 24867, 11, 3116, 31665, 20228, 11, 34153, 11, 14095, 323, 29839, 4097, 220, 1399, 3346, 315, 682, 25247, 27073, 627, 16298, 304, 8040, 5961, 1205, 311, 13383, 430, 34906, 374, 264, 3575, 13, 15281, 4497, 25, 449, 279, 432, 774, 771, 4435, 67636, 4901, 13, 6104, 279, 7342, 7853, 12992, 13489, 832, 3346, 1475, 1060, 11, 279, 3691, 1120, 1587, 539, 636, 311, 682, 279, 1274, 480, 32109, 13, 29422, 18945, 287, 35403, 832, 58414, 315, 1234, 77, 414, 3384, 1274, 3974, 304, 459, 16036, 4676, 13, 7327, 12369, 11216, 8483, 10181, 627, 16298, 5496, 304, 4787, 315, 34906, 323, 19542, 527, 1888, 9277, 311, 2586, 709, 449, 11503, 311, 279, 11774, 814, 3663, 13, 763, 5369, 311, 8405, 3691, 369, 11501, 16337, 11, 14549, 67636, 1101, 4375, 311, 3449, 279, 14247, 3966, 315, 1884, 16066, 505, 34906, 13, 4435, 34906, 19813, 311, 279, 2814, 21237, 315, 1274, 50801, 13176, 279, 5326, 315, 459, 39413, 477, 46579, 3691, 8312, 11, 2555, 3967, 439, 3691, 74935, 13, 5046, 682, 357, 28736, 2911, 11, 220, 1954, 3346, 3974, 304, 1120, 220, 1927, 5961, 11, 1455, 315, 1124, 304, 1207, 97519, 10384, 323, 4987, 323, 10913, 13936, 13, 2435, 1440, 872, 1866, 3966, 323, 527, 8010, 315, 279, 5070, 872, 10977, 617, 323, 1884, 814, 6996, 13, 12369, 17135, 527, 3629, 4529, 323, 1511, 369, 15201, 2391, 4208, 11, 19641, 25492, 527, 37883, 11, 19595, 323, 51876, 527, 27073, 304, 74424, 11, 323, 2911, 7831, 29869, 2890, 5674, 439, 264, 1121, 315, 39413, 3691, 627, 791, 11384, 315, 1917, 34906, 527, 2225, 5419, 323, 9434, 9547, 430, 10383, 433, 13, 4497, 1109, 832, 3610, 21644, 1051, 10434, 2391, 279, 220, 508, 23086, 12324, 13, 2650, 649, 584, 842, 1917, 34906, 30, 1102, 1253, 5222, 1093, 264, 13444, 2199, 519, 6562, 11, 719, 433, 374, 459, 11622, 89253, 5915, 13, 18185, 16054, 2875, 11, 279, 220, 7285, 4562, 5415, 7378, 420, 2046, 311, 6900, 4741, 449, 459, 1524, 11493, 5915, 25, 13696, 19542, 323, 34906, 555, 220, 9639, 15, 13, 362, 12717, 3575, 374, 430, 1690, 1274, 304, 279, 1917, 2103, 656, 539, 617, 14343, 8070, 311, 7782, 477, 4363, 311, 3139, 3403, 3691, 477, 2680, 78216, 3691, 13, 7648, 1274, 430, 527, 30056, 656, 539, 1304, 3403, 3300, 311, 7782, 3691, 369, 872, 8689, 430, 814, 1205, 627, 94368, 33489, 8654, 16345, 8689, 311, 8895, 2585, 927, 872, 1866, 3691, 2592, 13, 67636, 51266, 72359, 449, 8147, 6155, 4109, 315, 279, 23152, 13, 8442, 555, 13390, 11218, 1855, 315, 1521, 9256, 690, 30056, 10977, 387, 3025, 311, 8356, 3403, 3691, 311, 14201, 5694, 304, 279, 14247, 3938, 13, 1226, 1101, 2917, 349, 6821, 505, 1614, 323, 5426, 7294, 2902, 72722, 8717, 311, 11415, 1148, 872, 3495, 3445, 369, 19461, 13, 44710, 682, 3582, 4435, 67636, 22223, 1274, 596, 6439, 539, 1120, 3026, 323, 3278, 719, 2911, 439, 1664, 13, 10423, 71678, 13596, 1648, 311, 4465, 3728, 34906, 374, 311, 15253, 7362, 17089, 311, 387, 810, 10968, 389, 3109, 21623, 7620, 1093, 1884, 430, 3493, 3691, 311, 27698, 323, 2911, 304, 8009, 5789, 13, 128001, 128000, 7092, 25, 10323, 13737, 5455, 336, 16225, 29583, 1389, 8121, 10323, 13299, 2419, 25635, 198, 3923, 433, 11193, 512, 12, 362, 12822, 753, 2237, 315, 3728, 659, 65906, 627, 1090, 2954, 4325, 2134, 25, 220, 23, 12, 311, 220, 972, 4771, 65248, 627, 87084, 4096, 25, 578, 8121, 10323, 13299, 2419, 25635, 374, 264, 5258, 2296, 315, 279, 10323, 13737, 5455, 336, 16225, 29583, 11, 902, 11193, 220, 20, 66251, 15696, 315, 659, 65906, 320, 68, 1326, 2637, 14734, 4398, 11, 3070, 11, 10034, 14, 589, 44128, 8, 304, 5369, 311, 3728, 659, 65906, 13, 578, 220, 23, 6538, 5258, 2296, 8720, 288, 8244, 51866, 315, 659, 65906, 13, 19690, 3673, 2997, 1054, 40, 1097, 6380, 449, 279, 1648, 358, 649, 656, 1455, 2574, 863, 323, 1054, 40, 7170, 1781, 358, 1097, 264, 8060, 320, 64, 59991, 570, 863, 9062, 1537, 374, 22359, 389, 264, 220, 19, 16983, 5569, 25, 27191, 398, 29395, 11, 4185, 69200, 11, 84303, 11, 477, 27191, 398, 7655, 627, 49, 38135, 25, 578, 5569, 574, 4183, 1606, 315, 1202, 8844, 5395, 85, 488, 11, 6029, 315, 31638, 323, 32939, 4028, 27833, 11, 323, 7333, 13827, 434, 369, 1005, 449, 12822, 505, 264, 7029, 4325, 2134, 13, 362, 8620, 11, 15155, 11, 96495, 55, 71, 12252, 11, 323, 127113, 598, 37793, 315, 279, 6767, 527, 1101, 2561, 627, 34, 2784, 919, 25, 1102, 374, 3062, 311, 2567, 304, 4059, 430, 264, 12822, 596, 659, 85296, 659, 65906, 1253, 387, 28160, 2225, 555, 9669, 304, 26609, 9262, 18000, 323, 555, 264, 12876, 311, 3118, 57669, 304, 264, 6928, 3177, 13, 8483, 15151, 430, 5217, 13878, 315, 659, 65906, 16239, 2753, 14400, 320, 72, 1770, 2637, 17392, 8, 323, 2536, 66666, 659, 5773, 26591, 811, 649, 7958, 28198, 323, 1664, 33851, 13, 4314, 13878, 315, 659, 5773, 24756, 527, 1888, 32448, 555, 11193, 315, 18479, 659, 65906, 11, 20444, 279, 72508, 320, 438, 7154, 682, 1023, 10795, 6108, 11193, 8, 8720, 288, 11720, 659, 65906, 320, 72, 1770, 2637, 17371, 570, 38716, 2643, 1101, 2980, 86661, 279, 2317, 19440, 29505, 315, 279, 72508, 994, 279, 9395, 315, 279, 2068, 374, 311, 4933, 659, 65906, 304, 264, 4040, 8106, 627, 20989, 8735, 2038, 25, 2290, 627, 4438, 311, 5573, 25, 9062, 1537, 374, 16957, 389, 264, 220, 19, 16983, 5569, 505, 220, 16, 320, 48686, 398, 29395, 8, 311, 220, 19, 320, 48686, 398, 7655, 570, 14853, 3673, 527, 10134, 47773, 25, 1054, 40, 7170, 1781, 358, 1097, 264, 8060, 320, 64, 59991, 705, 863, 1054, 40, 3629, 2733, 51975, 315, 7182, 2476, 323, 1054, 40, 6562, 358, 1047, 810, 311, 387, 12691, 315, 2029, 578, 2860, 5573, 374, 279, 5578, 315, 682, 220, 23, 3673, 320, 10924, 10134, 11058, 4390, 4438, 311, 14532, 14955, 25, 35321, 12483, 389, 279, 8121, 10323, 13299, 2419, 25635, 8881, 264, 7191, 2237, 315, 659, 85296, 8244, 659, 65906, 627, 35643, 5983, 25, 578, 97707, 10323, 13737, 5455, 336, 25635, 374, 264, 1695, 10778, 369, 1884, 8173, 304, 30090, 659, 65906, 304, 864, 12, 2172, 645, 36634, 11, 83909, 11, 323, 3995, 12884, 13, 1115, 220, 605, 6538, 6767, 706, 21091, 31638, 323, 32939, 304, 6278, 2978, 11, 1579, 2978, 11, 323, 3995, 6822, 10688, 323, 706, 1027, 25548, 304, 264, 1396, 315, 2204, 15823, 13, 362, 1160, 315, 3673, 323, 264, 4096, 315, 279, 6767, 649, 387, 1766, 1618, 627, 34, 7709, 25, 16062, 1255, 285, 11, 423, 13, 445, 2637, 27246, 1215, 11, 432, 13, 423, 2637, 16835, 11, 328, 2637, 37514, 11, 432, 13, 328, 13, 356, 2637, 612, 81751, 11, 362, 13, 386, 13, 320, 2550, 21, 570, 23591, 36088, 659, 65906, 25, 362, 48006, 12, 762, 5848, 12914, 323, 15813, 8446, 13, 10139, 315, 8483, 389, 63737, 36634, 11, 220, 21, 11, 220, 22058, 12, 22915, 13, 128001 ]
[ -100, 16257, 40596, 828, 315, 1917, 34906, 3940, 304, 220, 5162, 24, 555, 279, 3723, 19687, 13, 1628, 279, 4430, 315, 7187, 889, 374, 1234, 77, 414, 3384, 374, 1101, 2103, 2288, 1579, 13, 73782, 34906, 3445, 499, 656, 539, 1440, 994, 701, 1828, 15496, 690, 387, 35661, 477, 1268, 433, 690, 387, 13988, 3149, 13, 3402, 299, 68243, 11, 7011, 3051, 11, 1561, 16381, 11, 323, 9576, 6401, 13, 362, 3682, 2349, 374, 430, 2138, 1572, 617, 3719, 1633, 9024, 13, 15483, 11351, 3493, 34906, 16337, 323, 1862, 11, 719, 1101, 3493, 7410, 4460, 369, 279, 5054, 11, 3109, 323, 5897, 1957, 430, 374, 5995, 311, 2686, 1917, 34906, 627, 5920, 5079, 4048, 1268, 311, 5376, 872, 46791, 323, 1005, 872, 19523, 311, 7417, 279, 2890, 11, 6873, 323, 26677, 315, 872, 8689, 13, 578, 1917, 19159, 3403, 3691, 311, 5510, 682, 220, 22, 7239, 1274, 13, 7648, 315, 1521, 6807, 17017, 527, 2109, 3864, 11, 323, 814, 617, 3549, 1690, 19647, 11, 1093, 34324, 11, 430, 1520, 1893, 264, 22556, 17575, 369, 1274, 323, 1101, 2274, 17089, 47379, 13, 1666, 315, 220, 679, 17, 872, 2103, 17551, 220, 22440, 3610, 7931, 16066, 505, 34906, 304, 279, 1917, 13, 12404, 7830, 6498, 220, 7322, 17054, 70625, 44406, 4610, 1155, 3907, 6841, 220, 1691, 11, 220, 679, 15, 4435, 67636, 1226, 2503, 323, 3821, 43749, 315, 78501, 3026, 11, 3278, 323, 2911, 304, 4948, 1917, 5961, 323, 584, 2610, 13520, 1148, 374, 1917, 34906, 30, 2435, 617, 2225, 279, 11005, 323, 279, 690, 311, 1935, 6900, 315, 872, 1866, 6439, 13, 578, 11384, 315, 19542, 2997, 6996, 315, 5070, 11, 78295, 8070, 8141, 304, 279, 1917, 323, 2949, 3230, 5961, 11, 12324, 323, 34906, 5196, 627, 7098, 481, 4363, 824, 53155, 6520, 304, 1005, 824, 1732, 220, 5162, 16, 12, 10866, 15, 482, 622, 6853, 66002, 1764, 220, 1049, 24, 4314, 26206, 12992, 527, 18189, 279, 40574, 292, 360, 332, 4269, 4363, 824, 1732, 323, 690, 3136, 311, 3665, 1057, 4676, 13, 763, 1202, 1455, 14560, 1376, 11, 19542, 374, 264, 6996, 477, 69764, 315, 6913, 3823, 3966, 11, 1778, 439, 26613, 323, 78216, 3691, 11, 17895, 11, 11983, 11, 4335, 3090, 11, 323, 2890, 3600, 13, 45773, 5054, 11429, 323, 78295, 8141, 315, 3691, 527, 279, 6156, 11384, 315, 279, 34906, 430, 13, 13266, 17017, 527, 3629, 1511, 311, 1212, 477, 9407, 9873, 13, 1226, 2011, 92064, 323, 2793, 304, 3339, 1057, 8312, 27271, 810, 11297, 555, 11469, 22556, 27220, 11987, 13, 578, 1193, 1648, 369, 1274, 311, 3351, 7953, 21249, 34906, 323, 872, 34104, 311, 3596, 3880, 3876, 3691, 7729, 374, 311, 3539, 22556, 5528, 3196, 389, 659, 5621, 747, 685, 13, 2893, 264, 11344, 20631, 15344, 15055, 315, 3300, 505, 3927, 1274, 649, 923, 709, 323, 1304, 264, 6908, 6811, 627, 2170, 1664, 439, 279, 8196, 3460, 315, 34906, 13239, 505, 459, 4384, 23152, 11, 1070, 374, 1101, 279, 8340, 34906, 315, 95309, 332, 13283, 72946, 902, 1304, 1274, 47281, 311, 50600, 19338, 11, 38974, 7106, 323, 10723, 4500, 11, 8108, 872, 23791, 26206, 323, 5376, 279, 5326, 315, 42227, 4648, 13, 1102, 374, 2653, 369, 1455, 9053, 311, 1524, 3619, 1917, 34906, 13, 42096, 11, 1070, 706, 1027, 264, 2466, 4585, 369, 16036, 33489, 13, 578, 7410, 505, 12205, 1291, 5961, 369, 279, 11469, 1917, 311, 11142, 1949, 6696, 10396, 1101, 3727, 433, 5107, 369, 1124, 311, 387, 15022, 323, 6144, 872, 29149, 10706, 323, 7187, 505, 28743, 43121, 13, 2435, 1212, 555, 8405, 8689, 449, 3691, 11, 719, 1243, 14297, 1505, 311, 26285, 8689, 311, 387, 659, 1355, 27781, 627, 4959, 1060, 11, 1990, 220, 1272, 3610, 323, 220, 1399, 3610, 1274, 2212, 279, 1917, 2815, 505, 34906, 323, 5552, 19338, 13, 65201, 4522, 374, 3284, 422, 5127, 3782, 3871, 439, 832, 13, 763, 13936, 11, 264, 55944, 220, 1135, 3346, 315, 279, 88398, 3974, 304, 16036, 5789, 13, 2057, 1862, 1521, 11987, 11, 584, 2011, 1101, 7417, 19624, 14054, 11, 8104, 19795, 11, 5942, 323, 43906, 2461, 11, 23391, 20957, 5845, 311, 5662, 264, 22622, 11761, 2385, 13, 13038, 304, 279, 3278, 323, 3026, 889, 527, 3318, 311, 842, 872, 1866, 34906, 323, 19542, 13, 5659, 856, 59485, 11, 1023, 8125, 1093, 279, 45305, 315, 279, 21530, 4435, 11, 64481, 30029, 11, 11759, 323, 3674, 14726, 11, 323, 279, 17915, 315, 279, 7187, 1121, 1120, 505, 279, 1925, 2944, 323, 527, 14580, 13, 54504, 11, 32682, 649, 8356, 279, 11822, 11, 433, 374, 4869, 58271, 315, 50812, 3823, 3966, 627, 1687, 649, 584, 2216, 5510, 279, 1917, 15387, 9259, 304, 813, 60841, 315, 19687, 3727, 279, 1486, 13, 6515, 1088, 8560, 83664, 72162, 46798, 16409, 6276, 12966, 311, 9966, 279, 4907, 872, 13162, 1205, 311, 1862, 16595, 2942, 5865, 11, 2849, 4500, 11, 323, 20438, 13709, 13, 9742, 311, 11930, 11930, 374, 279, 1888, 10500, 2403, 19542, 323, 34906, 13, 29524, 2231, 11, 369, 1855, 1732, 5496, 304, 14560, 19542, 13, 11450, 4028, 279, 24867, 11, 3116, 31665, 20228, 11, 34153, 11, 14095, 323, 29839, 4097, 220, 1399, 3346, 315, 682, 25247, 27073, 627, 16298, 304, 8040, 5961, 1205, 311, 13383, 430, 34906, 374, 264, 3575, 13, 15281, 4497, 25, 449, 279, 432, 774, 771, 4435, 67636, 4901, 13, 6104, 279, 7342, 7853, 12992, 13489, 832, 3346, 1475, 1060, 11, 279, 3691, 1120, 1587, 539, 636, 311, 682, 279, 1274, 480, 32109, 13, 29422, 18945, 287, 35403, 832, 58414, 315, 1234, 77, 414, 3384, 1274, 3974, 304, 459, 16036, 4676, 13, 7327, 12369, 11216, 8483, 10181, 627, 16298, 5496, 304, 4787, 315, 34906, 323, 19542, 527, 1888, 9277, 311, 2586, 709, 449, 11503, 311, 279, 11774, 814, 3663, 13, 763, 5369, 311, 8405, 3691, 369, 11501, 16337, 11, 14549, 67636, 1101, 4375, 311, 3449, 279, 14247, 3966, 315, 1884, 16066, 505, 34906, 13, 4435, 34906, 19813, 311, 279, 2814, 21237, 315, 1274, 50801, 13176, 279, 5326, 315, 459, 39413, 477, 46579, 3691, 8312, 11, 2555, 3967, 439, 3691, 74935, 13, 5046, 682, 357, 28736, 2911, 11, 220, 1954, 3346, 3974, 304, 1120, 220, 1927, 5961, 11, 1455, 315, 1124, 304, 1207, 97519, 10384, 323, 4987, 323, 10913, 13936, 13, 2435, 1440, 872, 1866, 3966, 323, 527, 8010, 315, 279, 5070, 872, 10977, 617, 323, 1884, 814, 6996, 13, 12369, 17135, 527, 3629, 4529, 323, 1511, 369, 15201, 2391, 4208, 11, 19641, 25492, 527, 37883, 11, 19595, 323, 51876, 527, 27073, 304, 74424, 11, 323, 2911, 7831, 29869, 2890, 5674, 439, 264, 1121, 315, 39413, 3691, 627, 791, 11384, 315, 1917, 34906, 527, 2225, 5419, 323, 9434, 9547, 430, 10383, 433, 13, 4497, 1109, 832, 3610, 21644, 1051, 10434, 2391, 279, 220, 508, 23086, 12324, 13, 2650, 649, 584, 842, 1917, 34906, 30, 1102, 1253, 5222, 1093, 264, 13444, 2199, 519, 6562, 11, 719, 433, 374, 459, 11622, 89253, 5915, 13, 18185, 16054, 2875, 11, 279, 220, 7285, 4562, 5415, 7378, 420, 2046, 311, 6900, 4741, 449, 459, 1524, 11493, 5915, 25, 13696, 19542, 323, 34906, 555, 220, 9639, 15, 13, 362, 12717, 3575, 374, 430, 1690, 1274, 304, 279, 1917, 2103, 656, 539, 617, 14343, 8070, 311, 7782, 477, 4363, 311, 3139, 3403, 3691, 477, 2680, 78216, 3691, 13, 7648, 1274, 430, 527, 30056, 656, 539, 1304, 3403, 3300, 311, 7782, 3691, 369, 872, 8689, 430, 814, 1205, 627, 94368, 33489, 8654, 16345, 8689, 311, 8895, 2585, 927, 872, 1866, 3691, 2592, 13, 67636, 51266, 72359, 449, 8147, 6155, 4109, 315, 279, 23152, 13, 8442, 555, 13390, 11218, 1855, 315, 1521, 9256, 690, 30056, 10977, 387, 3025, 311, 8356, 3403, 3691, 311, 14201, 5694, 304, 279, 14247, 3938, 13, 1226, 1101, 2917, 349, 6821, 505, 1614, 323, 5426, 7294, 2902, 72722, 8717, 311, 11415, 1148, 872, 3495, 3445, 369, 19461, 13, 44710, 682, 3582, 4435, 67636, 22223, 1274, 596, 6439, 539, 1120, 3026, 323, 3278, 719, 2911, 439, 1664, 13, 10423, 71678, 13596, 1648, 311, 4465, 3728, 34906, 374, 311, 15253, 7362, 17089, 311, 387, 810, 10968, 389, 3109, 21623, 7620, 1093, 1884, 430, 3493, 3691, 311, 27698, 323, 2911, 304, 8009, 5789, 13, 128001, -100, 7092, 25, 10323, 13737, 5455, 336, 16225, 29583, 1389, 8121, 10323, 13299, 2419, 25635, 198, 3923, 433, 11193, 512, 12, 362, 12822, 753, 2237, 315, 3728, 659, 65906, 627, 1090, 2954, 4325, 2134, 25, 220, 23, 12, 311, 220, 972, 4771, 65248, 627, 87084, 4096, 25, 578, 8121, 10323, 13299, 2419, 25635, 374, 264, 5258, 2296, 315, 279, 10323, 13737, 5455, 336, 16225, 29583, 11, 902, 11193, 220, 20, 66251, 15696, 315, 659, 65906, 320, 68, 1326, 2637, 14734, 4398, 11, 3070, 11, 10034, 14, 589, 44128, 8, 304, 5369, 311, 3728, 659, 65906, 13, 578, 220, 23, 6538, 5258, 2296, 8720, 288, 8244, 51866, 315, 659, 65906, 13, 19690, 3673, 2997, 1054, 40, 1097, 6380, 449, 279, 1648, 358, 649, 656, 1455, 2574, 863, 323, 1054, 40, 7170, 1781, 358, 1097, 264, 8060, 320, 64, 59991, 570, 863, 9062, 1537, 374, 22359, 389, 264, 220, 19, 16983, 5569, 25, 27191, 398, 29395, 11, 4185, 69200, 11, 84303, 11, 477, 27191, 398, 7655, 627, 49, 38135, 25, 578, 5569, 574, 4183, 1606, 315, 1202, 8844, 5395, 85, 488, 11, 6029, 315, 31638, 323, 32939, 4028, 27833, 11, 323, 7333, 13827, 434, 369, 1005, 449, 12822, 505, 264, 7029, 4325, 2134, 13, 362, 8620, 11, 15155, 11, 96495, 55, 71, 12252, 11, 323, 127113, 598, 37793, 315, 279, 6767, 527, 1101, 2561, 627, 34, 2784, 919, 25, 1102, 374, 3062, 311, 2567, 304, 4059, 430, 264, 12822, 596, 659, 85296, 659, 65906, 1253, 387, 28160, 2225, 555, 9669, 304, 26609, 9262, 18000, 323, 555, 264, 12876, 311, 3118, 57669, 304, 264, 6928, 3177, 13, 8483, 15151, 430, 5217, 13878, 315, 659, 65906, 16239, 2753, 14400, 320, 72, 1770, 2637, 17392, 8, 323, 2536, 66666, 659, 5773, 26591, 811, 649, 7958, 28198, 323, 1664, 33851, 13, 4314, 13878, 315, 659, 5773, 24756, 527, 1888, 32448, 555, 11193, 315, 18479, 659, 65906, 11, 20444, 279, 72508, 320, 438, 7154, 682, 1023, 10795, 6108, 11193, 8, 8720, 288, 11720, 659, 65906, 320, 72, 1770, 2637, 17371, 570, 38716, 2643, 1101, 2980, 86661, 279, 2317, 19440, 29505, 315, 279, 72508, 994, 279, 9395, 315, 279, 2068, 374, 311, 4933, 659, 65906, 304, 264, 4040, 8106, 627, 20989, 8735, 2038, 25, 2290, 627, 4438, 311, 5573, 25, 9062, 1537, 374, 16957, 389, 264, 220, 19, 16983, 5569, 505, 220, 16, 320, 48686, 398, 29395, 8, 311, 220, 19, 320, 48686, 398, 7655, 570, 14853, 3673, 527, 10134, 47773, 25, 1054, 40, 7170, 1781, 358, 1097, 264, 8060, 320, 64, 59991, 705, 863, 1054, 40, 3629, 2733, 51975, 315, 7182, 2476, 323, 1054, 40, 6562, 358, 1047, 810, 311, 387, 12691, 315, 2029, 578, 2860, 5573, 374, 279, 5578, 315, 682, 220, 23, 3673, 320, 10924, 10134, 11058, 4390, 4438, 311, 14532, 14955, 25, 35321, 12483, 389, 279, 8121, 10323, 13299, 2419, 25635, 8881, 264, 7191, 2237, 315, 659, 85296, 8244, 659, 65906, 627, 35643, 5983, 25, 578, 97707, 10323, 13737, 5455, 336, 25635, 374, 264, 1695, 10778, 369, 1884, 8173, 304, 30090, 659, 65906, 304, 864, 12, 2172, 645, 36634, 11, 83909, 11, 323, 3995, 12884, 13, 1115, 220, 605, 6538, 6767, 706, 21091, 31638, 323, 32939, 304, 6278, 2978, 11, 1579, 2978, 11, 323, 3995, 6822, 10688, 323, 706, 1027, 25548, 304, 264, 1396, 315, 2204, 15823, 13, 362, 1160, 315, 3673, 323, 264, 4096, 315, 279, 6767, 649, 387, 1766, 1618, 627, 34, 7709, 25, 16062, 1255, 285, 11, 423, 13, 445, 2637, 27246, 1215, 11, 432, 13, 423, 2637, 16835, 11, 328, 2637, 37514, 11, 432, 13, 328, 13, 356, 2637, 612, 81751, 11, 362, 13, 386, 13, 320, 2550, 21, 570, 23591, 36088, 659, 65906, 25, 362, 48006, 12, 762, 5848, 12914, 323, 15813, 8446, 13, 10139, 315, 8483, 389, 63737, 36634, 11, 220, 21, 11, 220, 22058, 12, 22915, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 16, 8, 35698, 389, 279, 3347, 1060, 315, 701, 2324, 26, 1935, 5296, 315, 279, 7634, 499, 617, 23926, 41698, 13, 3639, 5789, 315, 701, 2324, 527, 499, 8430, 3987, 33028, 30, 11208, 656, 499, 1205, 279, 10425, 311, 6381, 279, 1695, 990, 1283, 706, 22088, 304, 499, 30, 10139, 1884, 7634, 704, 323, 2610, 279, 17326, 311, 4546, 21730, 323, 51475, 627, 17, 8, 578, 17910, 315, 4359, 527, 12387, 323, 26454, 13, 21834, 1555, 5414, 2410, 323, 2643, 1418, 520, 279, 1890, 892, 11, 5414, 22443, 323, 3169, 7138, 13, 4314, 527, 539, 520, 21448, 449, 1855, 1023, 11, 719, 990, 304, 4832, 26348, 13, 3277, 617, 499, 3970, 4359, 733, 311, 4208, 389, 701, 17981, 30, 11208, 527, 499, 8748, 311, 1518, 21058, 990, 304, 420, 1648, 30, 3277, 617, 499, 3970, 5414, 22443, 1450, 520, 990, 304, 701, 2324, 30, 12037, 1521, 14269, 449, 603, 520, 1393, 91, 37004, 20739, 8651, 91, 220, 18, 8, 763, 64530, 220, 16, 25, 972, 12, 508, 584, 1518, 279, 10425, 3085, 53150, 323, 35093, 311, 5414, 1274, 13, 1283, 6209, 279, 1890, 53150, 311, 603, 422, 584, 527, 10032, 323, 96756, 13, 9842, 704, 1521, 33487, 323, 4007, 1124, 420, 2046, 13, 26891, 389, 279, 43773, 7607, 315, 279, 33487, 11, 279, 41545, 11, 323, 279, 6366, 1121, 315, 279, 4339, 315, 279, 10425, 627, 791, 4359, 889, 1903, 279, 1917, 323, 4395, 304, 433, 76929, 374, 10425, 315, 23070, 323, 9578, 2345, 28156, 539, 3974, 304, 14362, 1572, 1903, 555, 6206, 13, 220, 914, 25215, 374, 568, 10434, 555, 3823, 6206, 11, 439, 3582, 568, 4460, 4205, 11, 2533, 568, 5678, 6835, 5127, 2324, 323, 11745, 323, 682, 2574, 13, 220, 1627, 5659, 832, 893, 568, 706, 1903, 1475, 59343, 311, 3974, 927, 279, 4459, 9578, 323, 706, 11075, 872, 21489, 3115, 323, 279, 23546, 315, 1405, 814, 3974, 13, 220, 1544, 1283, 1550, 420, 779, 430, 814, 2643, 6056, 4359, 11, 323, 8530, 814, 2643, 5662, 704, 323, 1505, 1461, 11, 3582, 568, 374, 539, 3117, 505, 1855, 832, 315, 603, 627, 1115, 2046, 1472, 617, 1027, 64042, 757, 315, 701, 5845, 311, 9020, 6724, 311, 1475, 3254, 1732, 449, 701, 2539, 6666, 520, 279, 1890, 892, 13, 3011, 46303, 757, 3201, 10425, 11, 358, 649, 1431, 2567, 709, 449, 4376, 279, 1274, 12365, 311, 757, 520, 904, 2728, 4545, 13, 358, 1440, 1472, 527, 5644, 311, 8209, 389, 856, 17981, 11, 10425, 11, 422, 358, 1193, 1650, 389, 4718, 836, 4999, 52182, 11, 1472, 617, 33944, 757, 449, 53150, 7953, 1148, 358, 1436, 1524, 1781, 311, 2610, 369, 13, 1472, 4070, 35294, 291, 757, 323, 1903, 387, 264, 502, 1732, 304, 1472, 13, 1666, 358, 6227, 279, 53150, 358, 4070, 4036, 505, 1472, 11, 81045, 856, 4851, 7119, 3885, 1472, 617, 2663, 757, 311, 44491, 13, 6914, 757, 387, 4062, 311, 8881, 4718, 21507, 323, 13334, 430, 53150, 311, 279, 1274, 304, 856, 2324, 430, 527, 5107, 311, 3021, 389, 627, 16, 8, 578, 4623, 315, 737, 19849, 71329, 11, 477, 279, 10917, 389, 315, 4359, 753, 71329, 1555, 10811, 11, 374, 459, 8056, 8352, 13, 3639, 10723, 2217, 4131, 311, 4059, 449, 279, 4623, 315, 10917, 389, 10811, 529, 71329, 30, 2650, 1587, 433, 1304, 499, 2733, 14392, 430, 499, 1436, 2646, 387, 71329, 3403, 311, 2559, 1603, 1057, 19229, 4359, 30, 2650, 26921, 430, 1283, 753, 33944, 499, 449, 5414, 71329, 311, 2559, 304, 279, 13225, 4999, 17, 8, 3234, 499, 4498, 1139, 279, 23709, 315, 4560, 311, 3021, 1274, 449, 701, 1866, 2410, 30, 8886, 499, 4062, 311, 6227, 3823, 753, 38550, 311, 3021, 1664, 389, 1057, 1866, 14902, 30, 8442, 279, 2410, 315, 4359, 11, 3318, 1555, 499, 11, 649, 3021, 1274, 304, 701, 2324, 13, 21335, 709, 279, 14993, 3432, 323, 2187, 21058, 311, 96029, 3021, 389, 3885, 304, 701, 26436, 315, 10383, 4999, 18, 8, 578, 10425, 753, 9096, 374, 539, 66684, 477, 29827, 13, 22991, 832, 315, 279, 50399, 505, 362, 4359, 5046, 26888, 311, 3802, 439, 701, 27626, 430, 10811, 304, 3221, 323, 5414, 44611, 9096, 374, 87920, 13, 9842, 433, 389, 264, 3786, 323, 1772, 433, 304, 264, 21102, 2035, 779, 499, 527, 15870, 31256, 315, 420, 8206, 13, 12037, 433, 449, 603, 389, 1057, 32171, 3725, 30198, 1285, 12332, 2199, 4999, 3617, 352, 420, 21765, 505, 49817, 220, 20, 1203, 311, 279, 10425, 323, 1095, 5414, 17326, 6604, 311, 499, 1555, 433, 4999, 52182, 11, 1472, 617, 3984, 264, 3445, 369, 682, 311, 387, 32545, 2230, 1203, 311, 1472, 13, 3092, 4747, 369, 1694, 4832, 1603, 1472, 374, 264, 98883, 1486, 26, 358, 1436, 2646, 11322, 433, 389, 856, 1866, 13, 58733, 430, 358, 617, 10811, 529, 71329, 18702, 757, 779, 358, 649, 2503, 520, 701, 7693, 374, 8056, 13, 9930, 1472, 10425, 369, 430, 17575, 13, 12542, 856, 4851, 505, 4560, 311, 7380, 856, 71329, 1555, 1695, 4375, 627, 2170, 1472, 527, 6522, 603, 420, 2046, 10425, 11, 24928, 603, 311, 4321, 304, 3094, 449, 1472, 4856, 1109, 1629, 505, 279, 29565, 2574, 1472, 2610, 603, 311, 656, 13, 1226, 1390, 3345, 94132, 449, 1472, 11, 311, 3217, 279, 8149, 315, 4718, 9096, 13, 12040, 3201, 1057, 6848, 315, 33921, 311, 387, 10882, 13, 30289, 603, 311, 4718, 3185, 430, 584, 690, 387, 5644, 323, 96756, 994, 1472, 2610, 2555, 4994, 1057, 6981, 10353, 627, 16, 8, 21834, 1555, 1268, 499, 1684, 279, 17377, 13, 3639, 656, 499, 4510, 922, 433, 430, 2643, 539, 387, 837, 30, 3639, 4860, 656, 499, 617, 922, 279, 17377, 1694, 832, 44308, 3446, 315, 56752, 5380, 17, 8, 578, 10425, 5992, 1317, 11559, 311, 1505, 264, 42805, 1732, 13, 2650, 527, 499, 34118, 71329, 30, 9372, 709, 1063, 50399, 922, 71329, 323, 1518, 1148, 279, 17377, 706, 311, 2019, 0, 2876, 2771, 1405, 311, 1212, 30, 2650, 922, 1618, 5380, 16, 8, 35698, 389, 1268, 1790, 10811, 16180, 499, 13, 1283, 16180, 499, 3403, 430, 1283, 574, 10032, 311, 41701, 4359, 279, 20941, 753, 1715, 311, 2815, 304, 701, 2035, 13, 1283, 7378, 311, 3815, 2555, 499, 1550, 539, 23528, 477, 7380, 13, 3639, 374, 701, 4851, 753, 2077, 311, 430, 8206, 5380, 17, 8, 9842, 704, 279, 32847, 505, 87222, 8105, 11, 6187, 220, 1032, 3770, 13, 9479, 311, 1855, 11, 3350, 1148, 20356, 374, 3721, 11059, 304, 499, 627, 1687, 527, 14207, 315, 4359, 627, 85743, 6244, 3284, 1606, 315, 58755, 627, 697, 99340, 6244, 3284, 1606, 9096, 3782, 1523, 627, 18, 8, 4359, 1903, 264, 14464, 315, 1701, 459, 16907, 1732, 311, 15572, 5414, 3197, 4741, 13, 10811, 3952, 430, 832, 3094, 4726, 555, 23387, 16102, 449, 1274, 430, 1283, 66963, 11, 40418, 11, 323, 47379, 13434, 1431, 617, 2728, 279, 892, 315, 1938, 311, 13, 5659, 1521, 10507, 304, 54250, 11, 584, 1518, 430, 584, 527, 1101, 3062, 311, 4726, 287, 279, 15422, 315, 4359, 13, 4359, 706, 264, 2035, 311, 1005, 499, 3432, 304, 5414, 990, 26, 24739, 323, 2610, 279, 19229, 17326, 1405, 430, 374, 4999, 62416, 4359, 11, 856, 1176, 2077, 369, 994, 358, 2586, 311, 1472, 374, 311, 4546, 856, 1317, 12185, 1160, 315, 7540, 11, 2610, 1472, 311, 5155, 1124, 323, 387, 2884, 13, 220, 1472, 23528, 856, 24863, 11, 10425, 11, 323, 994, 358, 3009, 323, 1781, 389, 1148, 1472, 1550, 369, 757, 11, 10811, 11, 24863, 374, 279, 16891, 315, 856, 4851, 13, 98074, 311, 757, 311, 6435, 1523, 3403, 311, 1781, 389, 1268, 1472, 4070, 7263, 9096, 311, 856, 2324, 555, 13633, 757, 1139, 4718, 3070, 4999, 52182, 11, 358, 1440, 4718, 990, 374, 1694, 2884, 682, 927, 279, 9578, 323, 1274, 527, 18534, 14098, 505, 279, 30198, 814, 6865, 505, 4718, 9506, 13, 358, 1390, 311, 387, 264, 961, 315, 430, 990, 13, 1115, 10280, 3280, 11, 1520, 757, 5357, 389, 279, 1274, 358, 16681, 449, 4856, 1109, 279, 1888, 6412, 369, 279, 1054, 16548, 8352, 863, 856, 6980, 617, 1027, 23069, 311, 636, 13, 13969, 856, 6548, 389, 1405, 1472, 3207, 6522, 11, 4856, 1109, 389, 1268, 14268, 37109, 856, 3838, 374, 13, 17326, 11, 2567, 757, 8579, 323, 1825, 311, 4718, 50745, 420, 13560, 3280, 4999, 16, 8, 35698, 1203, 389, 279, 1455, 5107, 4420, 467, 1285, 14269, 304, 279, 1566, 2305, 13, 2650, 1550, 499, 14085, 30, 21069, 279, 19229, 17326, 311, 1520, 499, 14085, 304, 24863, 11, 1524, 994, 433, 753, 279, 3117, 61943, 20356, 499, 527, 8430, 13, 3011, 1180, 315, 67194, 649, 2187, 4359, 3130, 304, 701, 2324, 311, 990, 2643, 1570, 4999, 17, 8, 763, 3842, 584, 1518, 10811, 3085, 5496, 3090, 311, 264, 17240, 323, 1077, 2077, 374, 11, 1054, 11787, 499, 7191, 1109, 1057, 7126, 25537, 12671, 3005, 93762, 10811, 529, 3085, 311, 3041, 2555, 2731, 1109, 1364, 2736, 1047, 13, 2650, 4228, 374, 433, 369, 499, 311, 6013, 439, 1364, 1550, 30, 41137, 701, 4851, 311, 7446, 24863, 449, 279, 10425, 37167, 701, 4851, 311, 387, 90158, 311, 5414, 3063, 826, 13, 12040, 264, 7172, 315, 5414, 5496, 3090, 3432, 4999, 18, 8, 9842, 704, 279, 56910, 505, 701, 7075, 67743, 77, 420, 2046, 323, 1772, 433, 304, 264, 2035, 499, 1518, 3629, 13, 6914, 279, 8206, 315, 54250, 2231, 311, 4731, 6530, 927, 499, 420, 2046, 0, 12633, 603, 389, 14318, 449, 674, 16366, 72291, 11116, 477, 304, 1057, 12332, 2199, 389, 5690, 311, 15253, 264, 13219, 4999, 52182, 10811, 11, 420, 1566, 2305, 706, 5762, 1690, 14429, 1392, 13, 69668, 430, 3287, 1431, 6013, 279, 1648, 358, 3685, 11, 3754, 315, 810, 5647, 1752, 16779, 11, 323, 4443, 28950, 304, 50203, 856, 2890, 13, 7570, 304, 279, 3663, 315, 1521, 8389, 5596, 315, 856, 2324, 11, 358, 5268, 311, 3041, 1472, 279, 27025, 369, 1694, 4359, 13, 10425, 11, 1501, 757, 1148, 1472, 617, 369, 757, 311, 4048, 505, 1521, 1054, 339, 44129, 304, 856, 26000, 11453, 6914, 757, 78264, 311, 1472, 304, 279, 35446, 315, 279, 28013, 315, 856, 2324, 11, 5266, 757, 17326, 449, 810, 315, 1472, 627, 7927, 5496, 3090, 11, 10425, 11, 430, 753, 1148, 358, 1390, 13, 358, 4344, 5644, 369, 264, 3090, 315, 2324, 311, 1664, 709, 311, 35825, 2324, 4871, 315, 757, 13, 20941, 11, 358, 1440, 1472, 527, 37513, 311, 4718, 9506, 323, 358, 16458, 4718, 836, 369, 433, 13, 5377, 709, 856, 4851, 323, 5019, 704, 927, 757, 3432, 627, 3947, 527, 1690, 39510, 2949, 279, 9052, 10082, 430, 584, 690, 2646, 617, 264, 4018, 323, 32720, 4320, 369, 13, 3639, 961, 315, 279, 4623, 315, 279, 45659, 656, 499, 23924, 273, 449, 1455, 30, 2650, 656, 499, 64508, 1884, 4860, 5380, 80245, 389, 701, 8993, 4092, 11, 6420, 315, 279, 19229, 17326, 649, 387, 459, 29213, 8712, 13, 14549, 323, 40609, 369, 264, 4545, 323, 21635, 1148, 3727, 499, 29213, 13, 2650, 617, 499, 10534, 5414, 9546, 304, 701, 2324, 5380, 4599, 7043, 12570, 315, 279, 15400, 2324, 1766, 304, 10811, 11, 568, 4691, 420, 93447, 3488, 11, 1054, 5269, 1790, 810, 690, 1884, 889, 527, 315, 3771, 21060, 265, 625, 304, 2324, 30, 18319, 3639, 5789, 315, 701, 18254, 1205, 279, 3169, 315, 682, 43256, 11, 91056, 2410, 315, 264, 39879, 4776, 6342, 30, 2684, 753, 11542, 304, 4477, 704, 1884, 5789, 323, 52588, 1124, 927, 311, 10811, 13, 21069, 21058, 369, 430, 5655, 11, 671, 6714, 2324, 26, 1283, 753, 8748, 311, 16805, 5414, 39526, 311, 499, 4999, 2170, 584, 11879, 1555, 61477, 323, 23924, 273, 449, 279, 1925, 41016, 315, 1057, 10082, 11, 279, 9354, 690, 387, 3318, 311, 6136, 19595, 315, 10712, 477, 22047, 13, 21069, 1884, 4860, 11, 990, 1555, 701, 10712, 11, 5662, 704, 311, 603, 520, 1393, 91, 37004, 20739, 8651, 91, 369, 23788, 13, 5751, 8815, 420, 2046, 26, 24739, 279, 10811, 23788, 3892, 3115, 264, 1938, 323, 3821, 279, 10425, 3351, 13, 8377, 704, 420, 27626, 4999, 128001 ]
[ -100, 16, 8, 35698, 389, 279, 3347, 1060, 315, 701, 2324, 26, 1935, 5296, 315, 279, 7634, 499, 617, 23926, 41698, 13, 3639, 5789, 315, 701, 2324, 527, 499, 8430, 3987, 33028, 30, 11208, 656, 499, 1205, 279, 10425, 311, 6381, 279, 1695, 990, 1283, 706, 22088, 304, 499, 30, 10139, 1884, 7634, 704, 323, 2610, 279, 17326, 311, 4546, 21730, 323, 51475, 627, 17, 8, 578, 17910, 315, 4359, 527, 12387, 323, 26454, 13, 21834, 1555, 5414, 2410, 323, 2643, 1418, 520, 279, 1890, 892, 11, 5414, 22443, 323, 3169, 7138, 13, 4314, 527, 539, 520, 21448, 449, 1855, 1023, 11, 719, 990, 304, 4832, 26348, 13, 3277, 617, 499, 3970, 4359, 733, 311, 4208, 389, 701, 17981, 30, 11208, 527, 499, 8748, 311, 1518, 21058, 990, 304, 420, 1648, 30, 3277, 617, 499, 3970, 5414, 22443, 1450, 520, 990, 304, 701, 2324, 30, 12037, 1521, 14269, 449, 603, 520, 1393, 91, 37004, 20739, 8651, 91, 220, 18, 8, 763, 64530, 220, 16, 25, 972, 12, 508, 584, 1518, 279, 10425, 3085, 53150, 323, 35093, 311, 5414, 1274, 13, 1283, 6209, 279, 1890, 53150, 311, 603, 422, 584, 527, 10032, 323, 96756, 13, 9842, 704, 1521, 33487, 323, 4007, 1124, 420, 2046, 13, 26891, 389, 279, 43773, 7607, 315, 279, 33487, 11, 279, 41545, 11, 323, 279, 6366, 1121, 315, 279, 4339, 315, 279, 10425, 627, 791, 4359, 889, 1903, 279, 1917, 323, 4395, 304, 433, 76929, 374, 10425, 315, 23070, 323, 9578, 2345, 28156, 539, 3974, 304, 14362, 1572, 1903, 555, 6206, 13, 220, 914, 25215, 374, 568, 10434, 555, 3823, 6206, 11, 439, 3582, 568, 4460, 4205, 11, 2533, 568, 5678, 6835, 5127, 2324, 323, 11745, 323, 682, 2574, 13, 220, 1627, 5659, 832, 893, 568, 706, 1903, 1475, 59343, 311, 3974, 927, 279, 4459, 9578, 323, 706, 11075, 872, 21489, 3115, 323, 279, 23546, 315, 1405, 814, 3974, 13, 220, 1544, 1283, 1550, 420, 779, 430, 814, 2643, 6056, 4359, 11, 323, 8530, 814, 2643, 5662, 704, 323, 1505, 1461, 11, 3582, 568, 374, 539, 3117, 505, 1855, 832, 315, 603, 627, 1115, 2046, 1472, 617, 1027, 64042, 757, 315, 701, 5845, 311, 9020, 6724, 311, 1475, 3254, 1732, 449, 701, 2539, 6666, 520, 279, 1890, 892, 13, 3011, 46303, 757, 3201, 10425, 11, 358, 649, 1431, 2567, 709, 449, 4376, 279, 1274, 12365, 311, 757, 520, 904, 2728, 4545, 13, 358, 1440, 1472, 527, 5644, 311, 8209, 389, 856, 17981, 11, 10425, 11, 422, 358, 1193, 1650, 389, 4718, 836, 4999, 52182, 11, 1472, 617, 33944, 757, 449, 53150, 7953, 1148, 358, 1436, 1524, 1781, 311, 2610, 369, 13, 1472, 4070, 35294, 291, 757, 323, 1903, 387, 264, 502, 1732, 304, 1472, 13, 1666, 358, 6227, 279, 53150, 358, 4070, 4036, 505, 1472, 11, 81045, 856, 4851, 7119, 3885, 1472, 617, 2663, 757, 311, 44491, 13, 6914, 757, 387, 4062, 311, 8881, 4718, 21507, 323, 13334, 430, 53150, 311, 279, 1274, 304, 856, 2324, 430, 527, 5107, 311, 3021, 389, 627, 16, 8, 578, 4623, 315, 737, 19849, 71329, 11, 477, 279, 10917, 389, 315, 4359, 753, 71329, 1555, 10811, 11, 374, 459, 8056, 8352, 13, 3639, 10723, 2217, 4131, 311, 4059, 449, 279, 4623, 315, 10917, 389, 10811, 529, 71329, 30, 2650, 1587, 433, 1304, 499, 2733, 14392, 430, 499, 1436, 2646, 387, 71329, 3403, 311, 2559, 1603, 1057, 19229, 4359, 30, 2650, 26921, 430, 1283, 753, 33944, 499, 449, 5414, 71329, 311, 2559, 304, 279, 13225, 4999, 17, 8, 3234, 499, 4498, 1139, 279, 23709, 315, 4560, 311, 3021, 1274, 449, 701, 1866, 2410, 30, 8886, 499, 4062, 311, 6227, 3823, 753, 38550, 311, 3021, 1664, 389, 1057, 1866, 14902, 30, 8442, 279, 2410, 315, 4359, 11, 3318, 1555, 499, 11, 649, 3021, 1274, 304, 701, 2324, 13, 21335, 709, 279, 14993, 3432, 323, 2187, 21058, 311, 96029, 3021, 389, 3885, 304, 701, 26436, 315, 10383, 4999, 18, 8, 578, 10425, 753, 9096, 374, 539, 66684, 477, 29827, 13, 22991, 832, 315, 279, 50399, 505, 362, 4359, 5046, 26888, 311, 3802, 439, 701, 27626, 430, 10811, 304, 3221, 323, 5414, 44611, 9096, 374, 87920, 13, 9842, 433, 389, 264, 3786, 323, 1772, 433, 304, 264, 21102, 2035, 779, 499, 527, 15870, 31256, 315, 420, 8206, 13, 12037, 433, 449, 603, 389, 1057, 32171, 3725, 30198, 1285, 12332, 2199, 4999, 3617, 352, 420, 21765, 505, 49817, 220, 20, 1203, 311, 279, 10425, 323, 1095, 5414, 17326, 6604, 311, 499, 1555, 433, 4999, 52182, 11, 1472, 617, 3984, 264, 3445, 369, 682, 311, 387, 32545, 2230, 1203, 311, 1472, 13, 3092, 4747, 369, 1694, 4832, 1603, 1472, 374, 264, 98883, 1486, 26, 358, 1436, 2646, 11322, 433, 389, 856, 1866, 13, 58733, 430, 358, 617, 10811, 529, 71329, 18702, 757, 779, 358, 649, 2503, 520, 701, 7693, 374, 8056, 13, 9930, 1472, 10425, 369, 430, 17575, 13, 12542, 856, 4851, 505, 4560, 311, 7380, 856, 71329, 1555, 1695, 4375, 627, 2170, 1472, 527, 6522, 603, 420, 2046, 10425, 11, 24928, 603, 311, 4321, 304, 3094, 449, 1472, 4856, 1109, 1629, 505, 279, 29565, 2574, 1472, 2610, 603, 311, 656, 13, 1226, 1390, 3345, 94132, 449, 1472, 11, 311, 3217, 279, 8149, 315, 4718, 9096, 13, 12040, 3201, 1057, 6848, 315, 33921, 311, 387, 10882, 13, 30289, 603, 311, 4718, 3185, 430, 584, 690, 387, 5644, 323, 96756, 994, 1472, 2610, 2555, 4994, 1057, 6981, 10353, 627, 16, 8, 21834, 1555, 1268, 499, 1684, 279, 17377, 13, 3639, 656, 499, 4510, 922, 433, 430, 2643, 539, 387, 837, 30, 3639, 4860, 656, 499, 617, 922, 279, 17377, 1694, 832, 44308, 3446, 315, 56752, 5380, 17, 8, 578, 10425, 5992, 1317, 11559, 311, 1505, 264, 42805, 1732, 13, 2650, 527, 499, 34118, 71329, 30, 9372, 709, 1063, 50399, 922, 71329, 323, 1518, 1148, 279, 17377, 706, 311, 2019, 0, 2876, 2771, 1405, 311, 1212, 30, 2650, 922, 1618, 5380, 16, 8, 35698, 389, 1268, 1790, 10811, 16180, 499, 13, 1283, 16180, 499, 3403, 430, 1283, 574, 10032, 311, 41701, 4359, 279, 20941, 753, 1715, 311, 2815, 304, 701, 2035, 13, 1283, 7378, 311, 3815, 2555, 499, 1550, 539, 23528, 477, 7380, 13, 3639, 374, 701, 4851, 753, 2077, 311, 430, 8206, 5380, 17, 8, 9842, 704, 279, 32847, 505, 87222, 8105, 11, 6187, 220, 1032, 3770, 13, 9479, 311, 1855, 11, 3350, 1148, 20356, 374, 3721, 11059, 304, 499, 627, 1687, 527, 14207, 315, 4359, 627, 85743, 6244, 3284, 1606, 315, 58755, 627, 697, 99340, 6244, 3284, 1606, 9096, 3782, 1523, 627, 18, 8, 4359, 1903, 264, 14464, 315, 1701, 459, 16907, 1732, 311, 15572, 5414, 3197, 4741, 13, 10811, 3952, 430, 832, 3094, 4726, 555, 23387, 16102, 449, 1274, 430, 1283, 66963, 11, 40418, 11, 323, 47379, 13434, 1431, 617, 2728, 279, 892, 315, 1938, 311, 13, 5659, 1521, 10507, 304, 54250, 11, 584, 1518, 430, 584, 527, 1101, 3062, 311, 4726, 287, 279, 15422, 315, 4359, 13, 4359, 706, 264, 2035, 311, 1005, 499, 3432, 304, 5414, 990, 26, 24739, 323, 2610, 279, 19229, 17326, 1405, 430, 374, 4999, 62416, 4359, 11, 856, 1176, 2077, 369, 994, 358, 2586, 311, 1472, 374, 311, 4546, 856, 1317, 12185, 1160, 315, 7540, 11, 2610, 1472, 311, 5155, 1124, 323, 387, 2884, 13, 220, 1472, 23528, 856, 24863, 11, 10425, 11, 323, 994, 358, 3009, 323, 1781, 389, 1148, 1472, 1550, 369, 757, 11, 10811, 11, 24863, 374, 279, 16891, 315, 856, 4851, 13, 98074, 311, 757, 311, 6435, 1523, 3403, 311, 1781, 389, 1268, 1472, 4070, 7263, 9096, 311, 856, 2324, 555, 13633, 757, 1139, 4718, 3070, 4999, 52182, 11, 358, 1440, 4718, 990, 374, 1694, 2884, 682, 927, 279, 9578, 323, 1274, 527, 18534, 14098, 505, 279, 30198, 814, 6865, 505, 4718, 9506, 13, 358, 1390, 311, 387, 264, 961, 315, 430, 990, 13, 1115, 10280, 3280, 11, 1520, 757, 5357, 389, 279, 1274, 358, 16681, 449, 4856, 1109, 279, 1888, 6412, 369, 279, 1054, 16548, 8352, 863, 856, 6980, 617, 1027, 23069, 311, 636, 13, 13969, 856, 6548, 389, 1405, 1472, 3207, 6522, 11, 4856, 1109, 389, 1268, 14268, 37109, 856, 3838, 374, 13, 17326, 11, 2567, 757, 8579, 323, 1825, 311, 4718, 50745, 420, 13560, 3280, 4999, 16, 8, 35698, 1203, 389, 279, 1455, 5107, 4420, 467, 1285, 14269, 304, 279, 1566, 2305, 13, 2650, 1550, 499, 14085, 30, 21069, 279, 19229, 17326, 311, 1520, 499, 14085, 304, 24863, 11, 1524, 994, 433, 753, 279, 3117, 61943, 20356, 499, 527, 8430, 13, 3011, 1180, 315, 67194, 649, 2187, 4359, 3130, 304, 701, 2324, 311, 990, 2643, 1570, 4999, 17, 8, 763, 3842, 584, 1518, 10811, 3085, 5496, 3090, 311, 264, 17240, 323, 1077, 2077, 374, 11, 1054, 11787, 499, 7191, 1109, 1057, 7126, 25537, 12671, 3005, 93762, 10811, 529, 3085, 311, 3041, 2555, 2731, 1109, 1364, 2736, 1047, 13, 2650, 4228, 374, 433, 369, 499, 311, 6013, 439, 1364, 1550, 30, 41137, 701, 4851, 311, 7446, 24863, 449, 279, 10425, 37167, 701, 4851, 311, 387, 90158, 311, 5414, 3063, 826, 13, 12040, 264, 7172, 315, 5414, 5496, 3090, 3432, 4999, 18, 8, 9842, 704, 279, 56910, 505, 701, 7075, 67743, 77, 420, 2046, 323, 1772, 433, 304, 264, 2035, 499, 1518, 3629, 13, 6914, 279, 8206, 315, 54250, 2231, 311, 4731, 6530, 927, 499, 420, 2046, 0, 12633, 603, 389, 14318, 449, 674, 16366, 72291, 11116, 477, 304, 1057, 12332, 2199, 389, 5690, 311, 15253, 264, 13219, 4999, 52182, 10811, 11, 420, 1566, 2305, 706, 5762, 1690, 14429, 1392, 13, 69668, 430, 3287, 1431, 6013, 279, 1648, 358, 3685, 11, 3754, 315, 810, 5647, 1752, 16779, 11, 323, 4443, 28950, 304, 50203, 856, 2890, 13, 7570, 304, 279, 3663, 315, 1521, 8389, 5596, 315, 856, 2324, 11, 358, 5268, 311, 3041, 1472, 279, 27025, 369, 1694, 4359, 13, 10425, 11, 1501, 757, 1148, 1472, 617, 369, 757, 311, 4048, 505, 1521, 1054, 339, 44129, 304, 856, 26000, 11453, 6914, 757, 78264, 311, 1472, 304, 279, 35446, 315, 279, 28013, 315, 856, 2324, 11, 5266, 757, 17326, 449, 810, 315, 1472, 627, 7927, 5496, 3090, 11, 10425, 11, 430, 753, 1148, 358, 1390, 13, 358, 4344, 5644, 369, 264, 3090, 315, 2324, 311, 1664, 709, 311, 35825, 2324, 4871, 315, 757, 13, 20941, 11, 358, 1440, 1472, 527, 37513, 311, 4718, 9506, 323, 358, 16458, 4718, 836, 369, 433, 13, 5377, 709, 856, 4851, 323, 5019, 704, 927, 757, 3432, 627, 3947, 527, 1690, 39510, 2949, 279, 9052, 10082, 430, 584, 690, 2646, 617, 264, 4018, 323, 32720, 4320, 369, 13, 3639, 961, 315, 279, 4623, 315, 279, 45659, 656, 499, 23924, 273, 449, 1455, 30, 2650, 656, 499, 64508, 1884, 4860, 5380, 80245, 389, 701, 8993, 4092, 11, 6420, 315, 279, 19229, 17326, 649, 387, 459, 29213, 8712, 13, 14549, 323, 40609, 369, 264, 4545, 323, 21635, 1148, 3727, 499, 29213, 13, 2650, 617, 499, 10534, 5414, 9546, 304, 701, 2324, 5380, 4599, 7043, 12570, 315, 279, 15400, 2324, 1766, 304, 10811, 11, 568, 4691, 420, 93447, 3488, 11, 1054, 5269, 1790, 810, 690, 1884, 889, 527, 315, 3771, 21060, 265, 625, 304, 2324, 30, 18319, 3639, 5789, 315, 701, 18254, 1205, 279, 3169, 315, 682, 43256, 11, 91056, 2410, 315, 264, 39879, 4776, 6342, 30, 2684, 753, 11542, 304, 4477, 704, 1884, 5789, 323, 52588, 1124, 927, 311, 10811, 13, 21069, 21058, 369, 430, 5655, 11, 671, 6714, 2324, 26, 1283, 753, 8748, 311, 16805, 5414, 39526, 311, 499, 4999, 2170, 584, 11879, 1555, 61477, 323, 23924, 273, 449, 279, 1925, 41016, 315, 1057, 10082, 11, 279, 9354, 690, 387, 3318, 311, 6136, 19595, 315, 10712, 477, 22047, 13, 21069, 1884, 4860, 11, 990, 1555, 701, 10712, 11, 5662, 704, 311, 603, 520, 1393, 91, 37004, 20739, 8651, 91, 369, 23788, 13, 5751, 8815, 420, 2046, 26, 24739, 279, 10811, 23788, 3892, 3115, 264, 1938, 323, 3821, 279, 10425, 3351, 13, 8377, 704, 420, 27626, 4999, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963 ]
[ 128000, 2409, 220, 3391, 2911, 1694, 29704, 449, 9572, 1475, 3254, 1938, 11, 584, 1390, 311, 4546, 17985, 311, 420, 33318, 4360, 11, 323, 6250, 374, 20587, 9572, 17985, 2305, 13, 1666, 264, 3224, 11, 584, 1205, 311, 9041, 17985, 323, 4546, 6666, 311, 1063, 315, 279, 1455, 4279, 20587, 51423, 11, 779, 584, 649, 2731, 3619, 1148, 584, 649, 656, 311, 1520, 627, 4518, 389, 311, 4048, 810, 922, 279, 1455, 17037, 3970, 20587, 51423, 323, 5370, 5627, 499, 649, 1520, 279, 4465, 2403, 20587, 9572, 627, 3736, 5812, 9572, 374, 264, 6908, 323, 33318, 4360, 304, 1057, 3224, 13, 1102, 374, 13240, 430, 220, 868, 11, 19423, 2911, 1990, 7342, 311, 4325, 220, 777, 527, 29704, 449, 9572, 627, 4897, 3445, 430, 220, 16, 304, 220, 15935, 2911, 690, 387, 29704, 449, 9572, 1603, 814, 2543, 220, 508, 627, 2356, 3178, 22689, 25, 26211, 315, 279, 17685, 83748, 11, 6680, 11, 323, 43745, 780, 1887, 11, 6118, 16239, 4251, 6680, 7917, 13, 2009, 3178, 22689, 11, 279, 1455, 4279, 20587, 9572, 11, 9815, 369, 220, 966, 4, 315, 682, 20587, 9572, 13, 2684, 527, 2204, 4595, 315, 96306, 11, 30883, 323, 21249, 13, 578, 1455, 4279, 4595, 2997, 30883, 43745, 511, 70504, 96306, 11, 323, 30883, 856, 301, 53595, 96306, 627, 43, 32800, 7942, 25, 445, 32800, 7942, 8638, 304, 43745, 57878, 902, 527, 22852, 1887, 7917, 13, 445, 32800, 7942, 690, 6118, 1212, 304, 279, 43745, 7954, 11, 719, 433, 649, 1101, 7958, 279, 17685, 83748, 13, 2684, 527, 1403, 4595, 11, 83984, 8148, 43745, 7942, 11, 902, 6118, 22223, 9191, 27294, 477, 3995, 12884, 11, 323, 11842, 11529, 347, 70, 8148, 753, 43745, 7942, 11, 902, 374, 810, 17037, 3970, 304, 2911, 627, 66177, 323, 50112, 23125, 56071, 25, 4314, 527, 279, 2132, 1455, 17037, 3970, 4595, 315, 20587, 9572, 13, 27140, 6822, 8271, 9572, 11, 8271, 9572, 304, 2911, 374, 1455, 4461, 311, 7958, 279, 4827, 5596, 315, 279, 8271, 11, 323, 1070, 527, 5370, 4595, 315, 8271, 56071, 627, 63429, 9572, 25, 46701, 51423, 527, 539, 439, 17037, 3970, 304, 1633, 3995, 2911, 11, 719, 527, 810, 4279, 4315, 9191, 6980, 323, 27294, 13, 578, 1403, 1455, 4279, 17685, 51423, 4315, 2911, 2997, 507, 5455, 437, 277, 82945, 323, 469, 24510, 29147, 82945, 627, 12289, 258, 677, 4354, 7942, 25, 1115, 374, 264, 955, 315, 9572, 430, 22223, 279, 6548, 11, 323, 374, 1455, 17037, 29704, 304, 2911, 1234, 279, 4325, 315, 4848, 627, 49, 10796, 67, 5650, 437, 277, 82945, 25, 1115, 374, 264, 8579, 20438, 29147, 82945, 430, 22223, 279, 7917, 304, 279, 2547, 430, 1053, 2543, 1139, 69397, 16124, 627, 8989, 2868, 64417, 7942, 25, 32359, 64417, 7942, 649, 1212, 304, 8791, 2382, 304, 264, 11469, 8945, 11, 323, 264, 23842, 374, 6118, 1903, 304, 42534, 477, 3995, 2911, 13, 44493, 11, 279, 36254, 374, 14000, 4245, 311, 57056, 55307, 627, 53477, 1026, 36254, 25, 3967, 439, 44964, 299, 64417, 7942, 11, 8638, 304, 279, 81960, 320, 7642, 750, 1120, 832, 39042, 8, 323, 8965, 18911, 449, 55307, 304, 279, 64772, 13, 1102, 374, 11383, 29704, 1990, 17051, 315, 220, 18, 12, 19, 627, 63443, 4023, 7969, 369, 20587, 9572, 617, 13241, 4245, 311, 502, 3495, 323, 14830, 5528, 13, 763, 2015, 369, 420, 1396, 311, 3136, 311, 7417, 11, 24461, 11, 51371, 11, 323, 279, 8689, 47336, 20587, 9572, 1205, 1057, 1520, 627, 39314, 11, 499, 690, 1505, 264, 1160, 315, 2204, 11351, 430, 527, 10695, 12896, 20587, 51423, 13, 1442, 499, 1390, 311, 636, 6532, 304, 279, 4465, 2403, 20587, 9572, 477, 33009, 311, 279, 5353, 11, 1373, 3770, 311, 1505, 704, 1268, 499, 649, 1520, 627, 3736, 5812, 2009, 3178, 22689, 5114, 25, 1115, 16665, 6276, 499, 311, 3719, 264, 961, 315, 872, 21918, 315, 79405, 753, 45434, 4418, 269, 10349, 1405, 499, 649, 33009, 459, 23067, 311, 264, 1716, 11039, 20587, 2009, 3178, 22689, 627, 791, 95936, 31417, 350, 69361, 5114, 25, 1115, 7471, 374, 2744, 3411, 369, 23872, 11, 24910, 11, 477, 5606, 889, 6944, 311, 636, 6532, 304, 20256, 264, 59759, 311, 1520, 279, 4465, 2403, 20587, 8271, 9572, 627, 28487, 753, 52310, 1037, 15948, 25, 8683, 753, 52310, 1037, 15948, 374, 264, 11364, 7471, 430, 8779, 449, 11006, 3495, 11, 19054, 17985, 11, 323, 12899, 8689, 13, 1472, 649, 636, 6532, 264, 1396, 315, 5627, 1555, 24910, 311, 20256, 701, 1866, 30564, 1037, 2559, 1567, 11, 477, 23395, 55425, 505, 872, 3997, 627, 29518, 72410, 26211, 21021, 25, 5270, 753, 24417, 323, 7928, 57193, 7471, 12514, 311, 20587, 9572, 13, 2684, 527, 5370, 5627, 311, 636, 6532, 304, 420, 7471, 505, 24910, 311, 20256, 13166, 4455, 311, 20256, 264, 59759, 477, 10671, 264, 8427, 627, 791, 7557, 6830, 13299, 819, 5114, 25, 3861, 315, 279, 1455, 1664, 22015, 20587, 9572, 41582, 11, 578, 7557, 6830, 13299, 819, 5114, 8779, 311, 13500, 264, 6562, 311, 264, 1716, 29704, 449, 264, 9200, 17563, 304, 279, 3723, 4273, 627, 626, 13, 62734, 15394, 753, 8483, 15429, 25, 800, 13, 62734, 374, 3025, 311, 1520, 58681, 323, 4322, 2911, 47336, 20587, 9572, 2085, 3596, 11889, 8689, 264, 6593, 4121, 4245, 311, 11006, 13, 1472, 649, 1520, 555, 29820, 3432, 627, 1115, 2305, 11, 584, 1390, 311, 1304, 433, 1057, 9131, 311, 1520, 9041, 17985, 323, 1520, 3885, 3619, 1268, 1790, 315, 459, 5536, 904, 955, 315, 19035, 649, 1304, 627, 38275, 3794, 6532, 304, 459, 7471, 430, 21881, 311, 499, 13, 32255, 11, 584, 649, 1520, 4465, 20587, 9572, 323, 1304, 264, 6811, 304, 279, 6439, 315, 279, 2911, 430, 1205, 603, 279, 1455, 627, 3923, 2209, 356, 1640, 11280, 1628, 2650, 3053, 358, 2175, 1102, 5380, 128001, 128000, 6010, 279, 7199, 3215, 323, 1212, 5737, 13, 1472, 617, 311, 1522, 264, 2478, 18094, 430, 21736, 8821, 25664, 11, 719, 1603, 6041, 25664, 499, 617, 311, 1522, 264, 4967, 10474, 1405, 499, 6288, 11894, 279, 5718, 323, 1023, 1847, 4519, 13, 7429, 11, 499, 649, 46624, 743, 279, 7039, 389, 279, 13939, 311, 1514, 50884, 30242, 220, 17, 10882, 13, 128001, 128000, 1049, 22, 2794, 50, 17036, 220, 17267, 13, 22869, 60597, 198, 16206, 430, 1253, 6994, 11822, 323, 3600, 1555, 19313, 6011, 315, 52941, 8471, 198, 791, 2768, 1253, 7782, 7241, 11, 7384, 11, 17135, 323, 3600, 1555, 279, 19313, 6011, 315, 52941, 8471, 304, 279, 1890, 11827, 439, 1614, 13607, 439, 3984, 304, 2794, 50, 220, 17267, 32, 13, 6860, 320, 1423, 53678, 315, 11822, 323, 3600, 8, 311, 220, 17267, 32, 13, 9992, 320, 1423, 53678, 315, 5684, 8, 323, 220, 17267, 32, 13, 5154, 320, 51642, 369, 2794, 50, 220, 17267, 32, 13, 5154, 311, 220, 17267, 32, 13, 13754, 8, 311, 220, 17267, 32, 13, 13754, 320, 52079, 41242, 57580, 9815, 997, 7, 16, 8, 61406, 33184, 13607, 369, 7931, 449, 36801, 24435, 304, 279, 2068, 743, 13544, 304, 2794, 50, 220, 17267, 13, 23424, 320, 51642, 369, 2794, 50, 220, 17267, 13, 23424, 311, 220, 17267, 13, 22869, 8, 311, 220, 17267, 13, 22869, 320, 16206, 430, 1253, 6994, 11822, 323, 3600, 1555, 19313, 6011, 315, 52941, 8471, 705, 220, 17267, 32, 13, 18070, 320, 5095, 315, 3142, 19735, 287, 6247, 8, 320, 19, 8, 323, 220, 17267, 34, 13, 16596, 320, 76139, 3486, 49500, 4390, 7, 17, 8, 55555, 7620, 994, 1234, 5226, 449, 279, 6011, 315, 11344, 8471, 311, 3493, 3600, 311, 12822, 304, 279, 25502, 315, 279, 1614, 627, 7, 18, 8, 3142, 8935, 25341, 11, 439, 4613, 304, 2794, 50, 220, 2397, 13, 4119, 320, 51642, 705, 430, 3493, 586, 3600, 3060, 1234, 5226, 449, 264, 1614, 9266, 11, 439, 4613, 304, 2794, 50, 220, 11123, 13, 9423, 320, 91207, 315, 24245, 2631, 369, 6767, 17219, 705, 477, 1234, 5226, 449, 264, 5089, 315, 2254, 3109, 11, 439, 4613, 304, 2794, 50, 220, 7028, 13, 6268, 320, 51642, 369, 2794, 50, 220, 7028, 13, 6268, 311, 220, 7028, 13, 5894, 705, 430, 10736, 279, 5226, 11, 304, 4459, 477, 304, 961, 11, 449, 1614, 10736, 13, 510, 4468, 22, 272, 13, 12166, 17036, 22, 26, 220, 3753, 24, 272, 13, 10697, 17036, 2790, 26, 220, 2550, 16, 272, 13, 19391, 17036, 16, 26, 220, 1049, 16, 272, 13, 7467, 17036, 3971, 26, 220, 1049, 18, 272, 13, 25926, 17036, 14378, 69, 26, 220, 1049, 22, 272, 13, 2031, 17036, 2287, 60, 128001, 128000, 49546, 42209, 17381, 287, 11, 4953, 13, 574, 18538, 555, 9538, 323, 31033, 13960, 304, 220, 2550, 16, 311, 3085, 10978, 11, 31308, 323, 35649, 65151, 3600, 13, 13960, 42209, 17381, 287, 11, 4953, 13, 56197, 11, 7177, 11, 67349, 323, 7634, 682, 5990, 315, 13076, 323, 5274, 17274, 369, 13643, 14740, 389, 264, 2875, 4751, 11, 1317, 4751, 323, 2798, 311, 18467, 8197, 627, 791, 13960, 17381, 287, 5915, 374, 311, 3493, 499, 449, 264, 32789, 65151, 2068, 430, 36755, 220, 1041, 3346, 24617, 13, 5629, 1057, 2128, 315, 10534, 22165, 15749, 690, 1212, 449, 6975, 701, 30601, 11, 10396, 323, 16346, 13, 5112, 584, 37106, 311, 32187, 1057, 2532, 311, 5052, 701, 3966, 11, 539, 279, 1023, 1648, 2212, 13, 17830, 584, 690, 22829, 420, 449, 264, 1633, 15022, 4478, 6070, 627, 2654, 2985, 287, 420, 19675, 2533, 220, 2550, 16, 11, 1521, 18699, 10105, 8040, 555, 13960, 42209, 17381, 287, 11, 4953, 13, 527, 7170, 22523, 555, 1057, 28650, 11, 719, 2646, 21356, 323, 19029, 389, 264, 1317, 4751, 8197, 13, 5751, 18699, 21913, 323, 32959, 15174, 617, 1903, 13960, 42209, 17381, 287, 11, 4953, 13, 832, 315, 279, 41929, 14689, 596, 7928, 9678, 65151, 5220, 627, 7469, 15637, 3445, 584, 1440, 499, 323, 1440, 701, 2626, 3966, 13, 12522, 499, 6818, 53583, 4819, 449, 264, 26361, 477, 2939, 66790, 5784, 30, 3161, 13960, 42209, 17381, 287, 11, 4953, 13, 499, 5371, 4062, 2077, 311, 701, 4860, 323, 11295, 43595, 311, 701, 5435, 13, 12522, 499, 3596, 6818, 19261, 279, 4872, 315, 264, 5165, 2883, 30, 5751, 6134, 374, 1825, 311, 701, 6170, 323, 10742, 11, 539, 1193, 2391, 5912, 2626, 4207, 719, 220, 1187, 4207, 264, 1938, 13, 4718, 32499, 1385, 527, 13960, 32499, 1385, 13, 128001 ]
[ -100, 2409, 220, 3391, 2911, 1694, 29704, 449, 9572, 1475, 3254, 1938, 11, 584, 1390, 311, 4546, 17985, 311, 420, 33318, 4360, 11, 323, 6250, 374, 20587, 9572, 17985, 2305, 13, 1666, 264, 3224, 11, 584, 1205, 311, 9041, 17985, 323, 4546, 6666, 311, 1063, 315, 279, 1455, 4279, 20587, 51423, 11, 779, 584, 649, 2731, 3619, 1148, 584, 649, 656, 311, 1520, 627, 4518, 389, 311, 4048, 810, 922, 279, 1455, 17037, 3970, 20587, 51423, 323, 5370, 5627, 499, 649, 1520, 279, 4465, 2403, 20587, 9572, 627, 3736, 5812, 9572, 374, 264, 6908, 323, 33318, 4360, 304, 1057, 3224, 13, 1102, 374, 13240, 430, 220, 868, 11, 19423, 2911, 1990, 7342, 311, 4325, 220, 777, 527, 29704, 449, 9572, 627, 4897, 3445, 430, 220, 16, 304, 220, 15935, 2911, 690, 387, 29704, 449, 9572, 1603, 814, 2543, 220, 508, 627, 2356, 3178, 22689, 25, 26211, 315, 279, 17685, 83748, 11, 6680, 11, 323, 43745, 780, 1887, 11, 6118, 16239, 4251, 6680, 7917, 13, 2009, 3178, 22689, 11, 279, 1455, 4279, 20587, 9572, 11, 9815, 369, 220, 966, 4, 315, 682, 20587, 9572, 13, 2684, 527, 2204, 4595, 315, 96306, 11, 30883, 323, 21249, 13, 578, 1455, 4279, 4595, 2997, 30883, 43745, 511, 70504, 96306, 11, 323, 30883, 856, 301, 53595, 96306, 627, 43, 32800, 7942, 25, 445, 32800, 7942, 8638, 304, 43745, 57878, 902, 527, 22852, 1887, 7917, 13, 445, 32800, 7942, 690, 6118, 1212, 304, 279, 43745, 7954, 11, 719, 433, 649, 1101, 7958, 279, 17685, 83748, 13, 2684, 527, 1403, 4595, 11, 83984, 8148, 43745, 7942, 11, 902, 6118, 22223, 9191, 27294, 477, 3995, 12884, 11, 323, 11842, 11529, 347, 70, 8148, 753, 43745, 7942, 11, 902, 374, 810, 17037, 3970, 304, 2911, 627, 66177, 323, 50112, 23125, 56071, 25, 4314, 527, 279, 2132, 1455, 17037, 3970, 4595, 315, 20587, 9572, 13, 27140, 6822, 8271, 9572, 11, 8271, 9572, 304, 2911, 374, 1455, 4461, 311, 7958, 279, 4827, 5596, 315, 279, 8271, 11, 323, 1070, 527, 5370, 4595, 315, 8271, 56071, 627, 63429, 9572, 25, 46701, 51423, 527, 539, 439, 17037, 3970, 304, 1633, 3995, 2911, 11, 719, 527, 810, 4279, 4315, 9191, 6980, 323, 27294, 13, 578, 1403, 1455, 4279, 17685, 51423, 4315, 2911, 2997, 507, 5455, 437, 277, 82945, 323, 469, 24510, 29147, 82945, 627, 12289, 258, 677, 4354, 7942, 25, 1115, 374, 264, 955, 315, 9572, 430, 22223, 279, 6548, 11, 323, 374, 1455, 17037, 29704, 304, 2911, 1234, 279, 4325, 315, 4848, 627, 49, 10796, 67, 5650, 437, 277, 82945, 25, 1115, 374, 264, 8579, 20438, 29147, 82945, 430, 22223, 279, 7917, 304, 279, 2547, 430, 1053, 2543, 1139, 69397, 16124, 627, 8989, 2868, 64417, 7942, 25, 32359, 64417, 7942, 649, 1212, 304, 8791, 2382, 304, 264, 11469, 8945, 11, 323, 264, 23842, 374, 6118, 1903, 304, 42534, 477, 3995, 2911, 13, 44493, 11, 279, 36254, 374, 14000, 4245, 311, 57056, 55307, 627, 53477, 1026, 36254, 25, 3967, 439, 44964, 299, 64417, 7942, 11, 8638, 304, 279, 81960, 320, 7642, 750, 1120, 832, 39042, 8, 323, 8965, 18911, 449, 55307, 304, 279, 64772, 13, 1102, 374, 11383, 29704, 1990, 17051, 315, 220, 18, 12, 19, 627, 63443, 4023, 7969, 369, 20587, 9572, 617, 13241, 4245, 311, 502, 3495, 323, 14830, 5528, 13, 763, 2015, 369, 420, 1396, 311, 3136, 311, 7417, 11, 24461, 11, 51371, 11, 323, 279, 8689, 47336, 20587, 9572, 1205, 1057, 1520, 627, 39314, 11, 499, 690, 1505, 264, 1160, 315, 2204, 11351, 430, 527, 10695, 12896, 20587, 51423, 13, 1442, 499, 1390, 311, 636, 6532, 304, 279, 4465, 2403, 20587, 9572, 477, 33009, 311, 279, 5353, 11, 1373, 3770, 311, 1505, 704, 1268, 499, 649, 1520, 627, 3736, 5812, 2009, 3178, 22689, 5114, 25, 1115, 16665, 6276, 499, 311, 3719, 264, 961, 315, 872, 21918, 315, 79405, 753, 45434, 4418, 269, 10349, 1405, 499, 649, 33009, 459, 23067, 311, 264, 1716, 11039, 20587, 2009, 3178, 22689, 627, 791, 95936, 31417, 350, 69361, 5114, 25, 1115, 7471, 374, 2744, 3411, 369, 23872, 11, 24910, 11, 477, 5606, 889, 6944, 311, 636, 6532, 304, 20256, 264, 59759, 311, 1520, 279, 4465, 2403, 20587, 8271, 9572, 627, 28487, 753, 52310, 1037, 15948, 25, 8683, 753, 52310, 1037, 15948, 374, 264, 11364, 7471, 430, 8779, 449, 11006, 3495, 11, 19054, 17985, 11, 323, 12899, 8689, 13, 1472, 649, 636, 6532, 264, 1396, 315, 5627, 1555, 24910, 311, 20256, 701, 1866, 30564, 1037, 2559, 1567, 11, 477, 23395, 55425, 505, 872, 3997, 627, 29518, 72410, 26211, 21021, 25, 5270, 753, 24417, 323, 7928, 57193, 7471, 12514, 311, 20587, 9572, 13, 2684, 527, 5370, 5627, 311, 636, 6532, 304, 420, 7471, 505, 24910, 311, 20256, 13166, 4455, 311, 20256, 264, 59759, 477, 10671, 264, 8427, 627, 791, 7557, 6830, 13299, 819, 5114, 25, 3861, 315, 279, 1455, 1664, 22015, 20587, 9572, 41582, 11, 578, 7557, 6830, 13299, 819, 5114, 8779, 311, 13500, 264, 6562, 311, 264, 1716, 29704, 449, 264, 9200, 17563, 304, 279, 3723, 4273, 627, 626, 13, 62734, 15394, 753, 8483, 15429, 25, 800, 13, 62734, 374, 3025, 311, 1520, 58681, 323, 4322, 2911, 47336, 20587, 9572, 2085, 3596, 11889, 8689, 264, 6593, 4121, 4245, 311, 11006, 13, 1472, 649, 1520, 555, 29820, 3432, 627, 1115, 2305, 11, 584, 1390, 311, 1304, 433, 1057, 9131, 311, 1520, 9041, 17985, 323, 1520, 3885, 3619, 1268, 1790, 315, 459, 5536, 904, 955, 315, 19035, 649, 1304, 627, 38275, 3794, 6532, 304, 459, 7471, 430, 21881, 311, 499, 13, 32255, 11, 584, 649, 1520, 4465, 20587, 9572, 323, 1304, 264, 6811, 304, 279, 6439, 315, 279, 2911, 430, 1205, 603, 279, 1455, 627, 3923, 2209, 356, 1640, 11280, 1628, 2650, 3053, 358, 2175, 1102, 5380, 128001, -100, 6010, 279, 7199, 3215, 323, 1212, 5737, 13, 1472, 617, 311, 1522, 264, 2478, 18094, 430, 21736, 8821, 25664, 11, 719, 1603, 6041, 25664, 499, 617, 311, 1522, 264, 4967, 10474, 1405, 499, 6288, 11894, 279, 5718, 323, 1023, 1847, 4519, 13, 7429, 11, 499, 649, 46624, 743, 279, 7039, 389, 279, 13939, 311, 1514, 50884, 30242, 220, 17, 10882, 13, 128001, -100, 1049, 22, 2794, 50, 17036, 220, 17267, 13, 22869, 60597, 198, 16206, 430, 1253, 6994, 11822, 323, 3600, 1555, 19313, 6011, 315, 52941, 8471, 198, 791, 2768, 1253, 7782, 7241, 11, 7384, 11, 17135, 323, 3600, 1555, 279, 19313, 6011, 315, 52941, 8471, 304, 279, 1890, 11827, 439, 1614, 13607, 439, 3984, 304, 2794, 50, 220, 17267, 32, 13, 6860, 320, 1423, 53678, 315, 11822, 323, 3600, 8, 311, 220, 17267, 32, 13, 9992, 320, 1423, 53678, 315, 5684, 8, 323, 220, 17267, 32, 13, 5154, 320, 51642, 369, 2794, 50, 220, 17267, 32, 13, 5154, 311, 220, 17267, 32, 13, 13754, 8, 311, 220, 17267, 32, 13, 13754, 320, 52079, 41242, 57580, 9815, 997, 7, 16, 8, 61406, 33184, 13607, 369, 7931, 449, 36801, 24435, 304, 279, 2068, 743, 13544, 304, 2794, 50, 220, 17267, 13, 23424, 320, 51642, 369, 2794, 50, 220, 17267, 13, 23424, 311, 220, 17267, 13, 22869, 8, 311, 220, 17267, 13, 22869, 320, 16206, 430, 1253, 6994, 11822, 323, 3600, 1555, 19313, 6011, 315, 52941, 8471, 705, 220, 17267, 32, 13, 18070, 320, 5095, 315, 3142, 19735, 287, 6247, 8, 320, 19, 8, 323, 220, 17267, 34, 13, 16596, 320, 76139, 3486, 49500, 4390, 7, 17, 8, 55555, 7620, 994, 1234, 5226, 449, 279, 6011, 315, 11344, 8471, 311, 3493, 3600, 311, 12822, 304, 279, 25502, 315, 279, 1614, 627, 7, 18, 8, 3142, 8935, 25341, 11, 439, 4613, 304, 2794, 50, 220, 2397, 13, 4119, 320, 51642, 705, 430, 3493, 586, 3600, 3060, 1234, 5226, 449, 264, 1614, 9266, 11, 439, 4613, 304, 2794, 50, 220, 11123, 13, 9423, 320, 91207, 315, 24245, 2631, 369, 6767, 17219, 705, 477, 1234, 5226, 449, 264, 5089, 315, 2254, 3109, 11, 439, 4613, 304, 2794, 50, 220, 7028, 13, 6268, 320, 51642, 369, 2794, 50, 220, 7028, 13, 6268, 311, 220, 7028, 13, 5894, 705, 430, 10736, 279, 5226, 11, 304, 4459, 477, 304, 961, 11, 449, 1614, 10736, 13, 510, 4468, 22, 272, 13, 12166, 17036, 22, 26, 220, 3753, 24, 272, 13, 10697, 17036, 2790, 26, 220, 2550, 16, 272, 13, 19391, 17036, 16, 26, 220, 1049, 16, 272, 13, 7467, 17036, 3971, 26, 220, 1049, 18, 272, 13, 25926, 17036, 14378, 69, 26, 220, 1049, 22, 272, 13, 2031, 17036, 2287, 60, 128001, -100, 49546, 42209, 17381, 287, 11, 4953, 13, 574, 18538, 555, 9538, 323, 31033, 13960, 304, 220, 2550, 16, 311, 3085, 10978, 11, 31308, 323, 35649, 65151, 3600, 13, 13960, 42209, 17381, 287, 11, 4953, 13, 56197, 11, 7177, 11, 67349, 323, 7634, 682, 5990, 315, 13076, 323, 5274, 17274, 369, 13643, 14740, 389, 264, 2875, 4751, 11, 1317, 4751, 323, 2798, 311, 18467, 8197, 627, 791, 13960, 17381, 287, 5915, 374, 311, 3493, 499, 449, 264, 32789, 65151, 2068, 430, 36755, 220, 1041, 3346, 24617, 13, 5629, 1057, 2128, 315, 10534, 22165, 15749, 690, 1212, 449, 6975, 701, 30601, 11, 10396, 323, 16346, 13, 5112, 584, 37106, 311, 32187, 1057, 2532, 311, 5052, 701, 3966, 11, 539, 279, 1023, 1648, 2212, 13, 17830, 584, 690, 22829, 420, 449, 264, 1633, 15022, 4478, 6070, 627, 2654, 2985, 287, 420, 19675, 2533, 220, 2550, 16, 11, 1521, 18699, 10105, 8040, 555, 13960, 42209, 17381, 287, 11, 4953, 13, 527, 7170, 22523, 555, 1057, 28650, 11, 719, 2646, 21356, 323, 19029, 389, 264, 1317, 4751, 8197, 13, 5751, 18699, 21913, 323, 32959, 15174, 617, 1903, 13960, 42209, 17381, 287, 11, 4953, 13, 832, 315, 279, 41929, 14689, 596, 7928, 9678, 65151, 5220, 627, 7469, 15637, 3445, 584, 1440, 499, 323, 1440, 701, 2626, 3966, 13, 12522, 499, 6818, 53583, 4819, 449, 264, 26361, 477, 2939, 66790, 5784, 30, 3161, 13960, 42209, 17381, 287, 11, 4953, 13, 499, 5371, 4062, 2077, 311, 701, 4860, 323, 11295, 43595, 311, 701, 5435, 13, 12522, 499, 3596, 6818, 19261, 279, 4872, 315, 264, 5165, 2883, 30, 5751, 6134, 374, 1825, 311, 701, 6170, 323, 10742, 11, 539, 1193, 2391, 5912, 2626, 4207, 719, 220, 1187, 4207, 264, 1938, 13, 4718, 32499, 1385, 527, 13960, 32499, 1385, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 17, 13, 82909, 11, 51568, 323, 18042, 258, 768, 198, 17, 13, 16, 578, 3116, 13878, 315, 18042, 258, 768, 198, 17, 13, 17, 578, 3116, 12628, 315, 18042, 258, 768, 198, 18, 13, 82909, 304, 69225, 7167, 4382, 4339, 198, 19, 13, 82909, 304, 69225, 7167, 6485, 4339, 198, 19, 13, 17, 13, 16, 13620, 3171, 31301, 439, 90938, 198, 19, 13, 17, 13, 17, 13620, 3171, 31301, 439, 1008, 87678, 323, 62946, 198, 20, 13, 28968, 811, 304, 30200, 940, 12912, 198, 20, 13, 16, 82909, 940, 30296, 304, 3492, 15144, 13840, 198, 20, 13, 17, 51568, 91043, 304, 8599, 8982, 198, 20, 13, 18, 7089, 91367, 198, 11116, 30200, 374, 264, 14090, 14407, 2115, 304, 6617, 39603, 5706, 13, 1442, 832, 5992, 709, 279, 10824, 315, 279, 24282, 3451, 1178, 529, 323, 3451, 78648, 529, 304, 459, 8191, 2778, 4817, 1093, 1054, 14783, 9520, 832, 21879, 9214, 315, 2204, 13335, 18815, 420, 4360, 627, 644, 420, 48475, 61008, 11, 358, 1390, 311, 2231, 3871, 682, 279, 3062, 13363, 315, 30200, 304, 6498, 4339, 323, 520, 279, 1890, 892, 1456, 311, 5766, 264, 2288, 6485, 1684, 389, 279, 1690, 3649, 315, 279, 8712, 627, 644, 420, 4879, 11, 358, 690, 5357, 389, 4339, 304, 31398, 323, 690, 1193, 1935, 264, 2678, 36721, 389, 30200, 304, 8599, 8982, 627, 17, 13, 82909, 11, 51568, 323, 18042, 258, 768, 198, 791, 1176, 3575, 832, 35006, 994, 14892, 449, 3492, 30200, 374, 279, 72868, 304, 1063, 16996, 3878, 315, 71424, 25265, 477, 71424, 2508, 15947, 13, 358, 690, 1456, 311, 54263, 1990, 1521, 3878, 439, 1790, 439, 3284, 627, 2170, 433, 374, 11, 3451, 78648, 529, 323, 3451, 95290, 529, 527, 3629, 1511, 74450, 7162, 304, 39603, 5706, 311, 1486, 704, 48704, 4893, 430, 527, 810, 21102, 1109, 3885, 11, 602, 1770, 13, 48704, 4893, 430, 527, 38617, 304, 264, 5952, 450, 2915, 16643, 1648, 1109, 1023, 48704, 4893, 304, 459, 3927, 3492, 627, 2028, 374, 5115, 49839, 1606, 2225, 24282, 527, 11920, 449, 279, 51923, 5411, 13189, 9932, 3485, 13, 4452, 11, 832, 706, 311, 1440, 430, 3451, 95290, 529, 374, 1101, 6118, 14183, 311, 994, 433, 4131, 311, 279, 7106, 52192, 5820, 2949, 459, 5150, 8982, 1180, 13, 3451, 62466, 529, 389, 279, 1023, 1450, 374, 1101, 3629, 1511, 369, 19392, 9846, 51502, 439, 459, 3062, 2449, 315, 528, 91983, 2949, 264, 3492, 13, 763, 279, 17226, 17649, 389, 420, 3917, 11, 433, 5084, 311, 387, 1120, 264, 5030, 315, 4443, 22698, 369, 832, 477, 279, 1023, 4751, 11, 8631, 7344, 3515, 279, 810, 15376, 7419, 13, 44493, 2225, 3878, 1288, 387, 22281, 994, 1511, 311, 7664, 279, 25885, 315, 3451, 1178, 5594, 676, 529, 477, 3451, 25475, 258, 768, 529, 627, 17, 13, 16, 578, 3116, 13878, 315, 18042, 258, 768, 198, 36286, 258, 768, 11, 439, 2736, 9932, 3485, 11, 15151, 279, 1054, 75337, 863, 315, 48704, 4893, 304, 264, 3492, 13, 362, 21102, 48704, 481, 374, 78988, 2204, 505, 279, 1023, 48704, 4893, 1555, 520, 3325, 3116, 13878, 11, 902, 480, 46545, 36611, 439, 9846, 11, 17813, 2136, 11, 4367, 11, 323, 12472, 320, 9716, 12, 10697, 997, 48171, 51502, 5084, 311, 387, 279, 1455, 3062, 961, 315, 71199, 11, 439, 433, 374, 279, 1455, 9539, 33137, 481, 4668, 315, 264, 22066, 3492, 13, 763, 2015, 539, 311, 3810, 279, 3917, 315, 528, 91983, 2288, 1790, 11, 358, 690, 1833, 12093, 613, 753, 4096, 315, 9846, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 6281, 997, 11769, 52468, 48704, 481, 374, 1071, 389, 1063, 9846, 26, 9846, 304, 8982, 374, 15499, 5552, 311, 279, 11900, 315, 48913, 315, 279, 26480, 61607, 10416, 948, 1102, 374, 16168, 264, 78632, 940, 29683, 315, 8982, 13, 1442, 832, 48704, 481, 28624, 374, 1071, 449, 264, 9846, 430, 374, 78988, 2204, 505, 430, 315, 279, 3885, 11, 420, 690, 617, 264, 3831, 31954, 311, 8356, 279, 2515, 315, 71199, 13, 1789, 3187, 11, 422, 682, 48704, 4893, 527, 1071, 449, 3428, 9846, 3734, 369, 832, 1071, 449, 264, 1579, 9846, 11, 1243, 279, 1579, 2320, 93503, 48704, 481, 690, 387, 6755, 439, 32647, 323, 279, 3885, 439, 65890, 14715, 13, 2057, 2035, 1063, 7351, 315, 9846, 320, 68, 1326, 13, 16448, 477, 16054, 8, 389, 264, 48704, 481, 374, 1524, 810, 7524, 627, 2028, 13189, 2736, 24897, 1202, 734, 304, 1202, 836, 13, 362, 48704, 481, 11, 902, 374, 22066, 810, 54945, 1109, 3885, 304, 264, 3492, 11, 374, 810, 6847, 15324, 439, 264, 21102, 832, 627, 4071, 480, 46545, 320, 12533, 8, 439, 1664, 439, 12093, 613, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 6281, 8, 1486, 704, 430, 433, 374, 1633, 5107, 311, 89082, 264, 48704, 481, 62896, 1109, 2500, 2085, 520, 279, 1890, 892, 10223, 832, 315, 279, 1023, 13878, 627, 18, 13, 650, 68157, 18410, 512, 2028, 832, 323, 279, 2768, 13189, 3568, 449, 279, 5150, 10578, 2949, 264, 48704, 481, 13, 650, 363, 2053, 31965, 304, 264, 48704, 481, 649, 387, 1647, 5237, 339, 13483, 477, 294, 15619, 339, 13483, 11, 279, 4846, 1694, 15528, 11, 279, 15629, 3515, 264, 6541, 304, 77281, 4367, 13, 1115, 6541, 12992, 279, 31954, 315, 71199, 315, 279, 20081, 48704, 481, 627, 19, 13, 650, 68157, 34623, 320, 269, 3160, 997, 791, 12472, 315, 294, 15619, 339, 13483, 374, 18182, 12309, 1317, 320, 28753, 315, 279, 32931, 505, 832, 311, 2500, 77281, 705, 20444, 1647, 5237, 339, 13483, 1205, 311, 387, 2231, 1139, 1403, 311, 2380, 5315, 18815, 872, 3160, 13, 4314, 5315, 649, 17715, 387, 19180, 1139, 1317, 79556, 320, 68, 1326, 13, 611, 32, 15273, 14, 304, 7126, 705, 2875, 79556, 320, 68, 1326, 13, 611, 19321, 14, 304, 719, 705, 323, 7170, 11293, 79556, 439, 264, 1207, 3374, 315, 2875, 79556, 47325, 40, 51581, 11, 24633, 14, 705, 902, 4097, 279, 3325, 21102, 6305, 627, 2170, 311, 279, 12939, 315, 1521, 3116, 13878, 11, 2225, 480, 46545, 320, 12533, 8, 323, 12093, 613, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 6281, 12, 2721, 8, 1518, 9846, 439, 279, 1455, 3062, 832, 11, 1418, 4367, 374, 9932, 439, 264, 9099, 71199, 8331, 13, 4452, 11, 814, 1782, 304, 279, 12939, 315, 17813, 2136, 323, 12472, 13, 6104, 480, 46545, 6835, 264, 7191, 2759, 311, 17813, 2136, 11, 12093, 613, 1772, 24031, 430, 3160, 374, 279, 810, 3062, 13189, 627, 17, 13, 17, 578, 3116, 12628, 315, 71199, 198, 644, 4689, 11, 279, 3116, 13878, 9932, 304, 279, 3766, 12735, 1935, 2515, 389, 48704, 4893, 304, 10824, 13, 763, 34781, 315, 430, 11, 9846, 51502, 374, 279, 13189, 389, 902, 832, 1288, 1427, 1176, 11, 994, 832, 16696, 311, 8821, 71199, 1139, 3892, 5990, 477, 12628, 11, 439, 433, 374, 279, 1455, 15062, 832, 627, 80245, 389, 279, 10648, 315, 279, 4751, 1054, 46770, 71199, 863, 477, 1054, 466, 10462, 661, 8631, 863, 439, 264, 4726, 30296, 11, 832, 649, 54263, 1990, 2380, 477, 3116, 5990, 315, 3492, 5594, 676, 627, 39972, 613, 374, 4737, 264, 810, 4689, 323, 15325, 1648, 315, 4096, 555, 86055, 1193, 2380, 5990, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 2721, 12, 4161, 997, 10267, 603, 3240, 555, 3411, 520, 279, 3492, 3451, 20019, 529, 12769, 112638, 969, 20552, 11, 1405, 279, 8631, 2744, 17503, 9539, 389, 279, 1566, 48704, 481, 323, 279, 1176, 48704, 481, 374, 2744, 7621, 13, 5659, 279, 1486, 315, 1684, 315, 8631, 11, 279, 1455, 3062, 2144, 922, 279, 1648, 584, 89082, 420, 3492, 374, 430, 389, 279, 2132, 48704, 481, 279, 9846, 315, 279, 7899, 1587, 539, 7293, 2237, 11, 719, 6118, 17503, 505, 264, 5190, 311, 264, 4827, 9846, 13, 28624, 578, 71199, 430, 3135, 505, 420, 9846, 7351, 11, 477, 16630, 11, 6835, 279, 31005, 955, 315, 8631, 26, 420, 374, 2663, 6156, 8631, 627, 644, 1063, 4339, 11, 584, 649, 23846, 264, 955, 315, 8631, 430, 374, 43383, 1109, 6156, 8631, 719, 16643, 1109, 430, 315, 279, 1176, 48704, 481, 315, 3451, 20019, 529, 26, 369, 3187, 11, 304, 279, 1176, 510, 23707, 657, 481, 60, 315, 279, 510, 1178, 60, 3451, 52399, 12968, 529, 28624, 578, 8631, 304, 1521, 4339, 374, 2663, 14580, 8631, 13, 28624, 64105, 69, 24633, 61220, 24633, 112638, 911, 48, 69, 56362, 13, 126459, 1687, 617, 1457, 11054, 1403, 5990, 315, 8631, 25, 6156, 323, 14580, 26, 420, 1101, 24897, 264, 4948, 2237, 902, 649, 387, 2663, 65890, 14715, 323, 374, 27458, 439, 1694, 279, 19821, 315, 904, 5952, 82585, 3392, 315, 71199, 627, 1548, 1193, 20193, 34945, 279, 25885, 315, 264, 9099, 71199, 22900, 555, 79556, 512, 11458, 11, 433, 374, 5922, 27401, 430, 65890, 14715, 48704, 4893, 8649, 12769, 1174, 358, 1174, 602, 477, 577, 11, 264, 48704, 69391, 78605, 519, 690, 5222, 2753, 21102, 1109, 459, 65890, 14715, 48704, 481, 8649, 1063, 1023, 77281, 13, 28624, 1115, 1436, 387, 1511, 439, 264, 8197, 369, 264, 4726, 13096, 315, 8631, 5990, 11, 7231, 603, 264, 4948, 27179, 466, 10462, 661, 33611, 323, 11999, 2237, 627, 38, 46545, 320, 10697, 8, 6835, 2500, 30296, 1990, 279, 2204, 12628, 315, 71199, 512, 12, 34526, 320, 68, 7280, 340, 12, 34526, 320, 7280, 340, 12, 2958, 1404, 198, 12, 220, 2636, 26068, 198, 12, 32321, 5742, 198, 12, 43964, 611, 9304, 198, 12, 80474, 6830, 2635, 8363, 3907, 81934, 60241, 11500, 554, 76, 7881, 1389, 10181, 369, 7568, 1638, 1233, 14, 3778, 19241, 198, 12, 220, 16, 320, 32, 340, 12, 82909, 6498, 45241, 45397, 24561, 27740, 128001, 128000, 791, 25460, 706, 2834, 264, 41385, 78796, 3772, 10292, 369, 279, 21416, 43738, 87486, 311, 279, 59410, 41752, 25, 279, 4545, 16286, 8603, 4295, 453, 12278, 278, 5418, 21970, 11, 29762, 11, 9204, 279, 7102, 311, 90089, 11062, 315, 264, 2565, 315, 61457, 1603, 872, 10632, 1051, 6656, 311, 74535, 627, 791, 7252, 5560, 315, 14434, 7972, 10292, 574, 2728, 311, 279, 25460, 753, 8121, 11050, 19496, 23109, 21606, 41769, 323, 21416, 15034, 480, 11687, 2563, 492, 11, 6690, 86, 1590, 529, 13142, 43048, 441, 323, 279, 29762, 6108, 23672, 1556, 300, 97452, 369, 872, 1005, 315, 2835, 11, 5448, 323, 7855, 17439, 555, 279, 11062, 315, 453, 12278, 278, 5418, 21970, 304, 279, 6596, 1306, 16286, 8603, 2663, 311, 3371, 1124, 433, 1053, 387, 76993, 627, 128001, 128000, 644, 3432, 596, 5820, 11, 584, 527, 2133, 311, 387, 7999, 323, 33356, 287, 3148, 627, 29690, 25, 994, 499, 2351, 4691, 311, 1505, 279, 6811, 11, 499, 1205, 311, 990, 704, 279, 13225, 1990, 279, 1403, 5219, 13, 1472, 649, 656, 420, 555, 33356, 287, 279, 9333, 1396, 505, 279, 8294, 1396, 11, 477, 555, 7999, 389, 505, 279, 9333, 1396, 709, 311, 279, 8294, 1396, 627, 14581, 279, 5929, 16344, 2835, 323, 4686, 279, 37736, 3770, 627, 63178, 25, 12522, 264, 733, 520, 279, 3575, 22581, 323, 33811, 4860, 3770, 627, 15724, 11, 584, 527, 11469, 36018, 1555, 9455, 86506, 627, 14581, 279, 12607, 323, 4686, 701, 3465, 627, 7184, 374, 279, 892, 311, 1304, 701, 1866, 7160, 28960, 0, 1472, 649, 1005, 279, 3896, 3984, 477, 1005, 1023, 7384, 2561, 422, 499, 6562, 627, 14828, 279, 35612, 389, 279, 7160, 28960, 927, 279, 1828, 2478, 2919, 477, 5672, 13, 3639, 656, 499, 5406, 30, 128001, 128000, 40, 1781, 264, 2763, 315, 1274, 1618, 527, 78214, 389, 3804, 6993, 369, 539, 1701, 813, 6689, 13, 1472, 13383, 279, 1023, 24909, 323, 7411, 7784, 956, 18754, 11, 1314, 30, 3277, 3804, 6993, 374, 389, 279, 10054, 872, 4553, 16399, 1887, 79476, 2212, 3339, 2771, 3804, 6993, 649, 956, 636, 813, 6689, 1022, 13, 4815, 1548, 1101, 2103, 50777, 264, 14599, 3392, 315, 10054, 892, 2403, 1948, 5238, 13, 2468, 279, 12688, 11670, 1306, 220, 17, 18852, 568, 574, 520, 220, 508, 25, 410, 315, 10054, 892, 13, 2684, 374, 264, 2678, 1396, 315, 4311, 889, 649, 3790, 430, 3169, 315, 10054, 892, 11, 433, 596, 9193, 15525, 382, 1687, 2351, 682, 33630, 11, 719, 422, 584, 1051, 3243, 287, 832, 5915, 3953, 1093, 584, 1051, 1566, 1060, 11, 912, 832, 1053, 387, 71546, 10194, 3804, 6993, 13, 128001 ]
[ -100, 17, 13, 82909, 11, 51568, 323, 18042, 258, 768, 198, 17, 13, 16, 578, 3116, 13878, 315, 18042, 258, 768, 198, 17, 13, 17, 578, 3116, 12628, 315, 18042, 258, 768, 198, 18, 13, 82909, 304, 69225, 7167, 4382, 4339, 198, 19, 13, 82909, 304, 69225, 7167, 6485, 4339, 198, 19, 13, 17, 13, 16, 13620, 3171, 31301, 439, 90938, 198, 19, 13, 17, 13, 17, 13620, 3171, 31301, 439, 1008, 87678, 323, 62946, 198, 20, 13, 28968, 811, 304, 30200, 940, 12912, 198, 20, 13, 16, 82909, 940, 30296, 304, 3492, 15144, 13840, 198, 20, 13, 17, 51568, 91043, 304, 8599, 8982, 198, 20, 13, 18, 7089, 91367, 198, 11116, 30200, 374, 264, 14090, 14407, 2115, 304, 6617, 39603, 5706, 13, 1442, 832, 5992, 709, 279, 10824, 315, 279, 24282, 3451, 1178, 529, 323, 3451, 78648, 529, 304, 459, 8191, 2778, 4817, 1093, 1054, 14783, 9520, 832, 21879, 9214, 315, 2204, 13335, 18815, 420, 4360, 627, 644, 420, 48475, 61008, 11, 358, 1390, 311, 2231, 3871, 682, 279, 3062, 13363, 315, 30200, 304, 6498, 4339, 323, 520, 279, 1890, 892, 1456, 311, 5766, 264, 2288, 6485, 1684, 389, 279, 1690, 3649, 315, 279, 8712, 627, 644, 420, 4879, 11, 358, 690, 5357, 389, 4339, 304, 31398, 323, 690, 1193, 1935, 264, 2678, 36721, 389, 30200, 304, 8599, 8982, 627, 17, 13, 82909, 11, 51568, 323, 18042, 258, 768, 198, 791, 1176, 3575, 832, 35006, 994, 14892, 449, 3492, 30200, 374, 279, 72868, 304, 1063, 16996, 3878, 315, 71424, 25265, 477, 71424, 2508, 15947, 13, 358, 690, 1456, 311, 54263, 1990, 1521, 3878, 439, 1790, 439, 3284, 627, 2170, 433, 374, 11, 3451, 78648, 529, 323, 3451, 95290, 529, 527, 3629, 1511, 74450, 7162, 304, 39603, 5706, 311, 1486, 704, 48704, 4893, 430, 527, 810, 21102, 1109, 3885, 11, 602, 1770, 13, 48704, 4893, 430, 527, 38617, 304, 264, 5952, 450, 2915, 16643, 1648, 1109, 1023, 48704, 4893, 304, 459, 3927, 3492, 627, 2028, 374, 5115, 49839, 1606, 2225, 24282, 527, 11920, 449, 279, 51923, 5411, 13189, 9932, 3485, 13, 4452, 11, 832, 706, 311, 1440, 430, 3451, 95290, 529, 374, 1101, 6118, 14183, 311, 994, 433, 4131, 311, 279, 7106, 52192, 5820, 2949, 459, 5150, 8982, 1180, 13, 3451, 62466, 529, 389, 279, 1023, 1450, 374, 1101, 3629, 1511, 369, 19392, 9846, 51502, 439, 459, 3062, 2449, 315, 528, 91983, 2949, 264, 3492, 13, 763, 279, 17226, 17649, 389, 420, 3917, 11, 433, 5084, 311, 387, 1120, 264, 5030, 315, 4443, 22698, 369, 832, 477, 279, 1023, 4751, 11, 8631, 7344, 3515, 279, 810, 15376, 7419, 13, 44493, 2225, 3878, 1288, 387, 22281, 994, 1511, 311, 7664, 279, 25885, 315, 3451, 1178, 5594, 676, 529, 477, 3451, 25475, 258, 768, 529, 627, 17, 13, 16, 578, 3116, 13878, 315, 18042, 258, 768, 198, 36286, 258, 768, 11, 439, 2736, 9932, 3485, 11, 15151, 279, 1054, 75337, 863, 315, 48704, 4893, 304, 264, 3492, 13, 362, 21102, 48704, 481, 374, 78988, 2204, 505, 279, 1023, 48704, 4893, 1555, 520, 3325, 3116, 13878, 11, 902, 480, 46545, 36611, 439, 9846, 11, 17813, 2136, 11, 4367, 11, 323, 12472, 320, 9716, 12, 10697, 997, 48171, 51502, 5084, 311, 387, 279, 1455, 3062, 961, 315, 71199, 11, 439, 433, 374, 279, 1455, 9539, 33137, 481, 4668, 315, 264, 22066, 3492, 13, 763, 2015, 539, 311, 3810, 279, 3917, 315, 528, 91983, 2288, 1790, 11, 358, 690, 1833, 12093, 613, 753, 4096, 315, 9846, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 6281, 997, 11769, 52468, 48704, 481, 374, 1071, 389, 1063, 9846, 26, 9846, 304, 8982, 374, 15499, 5552, 311, 279, 11900, 315, 48913, 315, 279, 26480, 61607, 10416, 948, 1102, 374, 16168, 264, 78632, 940, 29683, 315, 8982, 13, 1442, 832, 48704, 481, 28624, 374, 1071, 449, 264, 9846, 430, 374, 78988, 2204, 505, 430, 315, 279, 3885, 11, 420, 690, 617, 264, 3831, 31954, 311, 8356, 279, 2515, 315, 71199, 13, 1789, 3187, 11, 422, 682, 48704, 4893, 527, 1071, 449, 3428, 9846, 3734, 369, 832, 1071, 449, 264, 1579, 9846, 11, 1243, 279, 1579, 2320, 93503, 48704, 481, 690, 387, 6755, 439, 32647, 323, 279, 3885, 439, 65890, 14715, 13, 2057, 2035, 1063, 7351, 315, 9846, 320, 68, 1326, 13, 16448, 477, 16054, 8, 389, 264, 48704, 481, 374, 1524, 810, 7524, 627, 2028, 13189, 2736, 24897, 1202, 734, 304, 1202, 836, 13, 362, 48704, 481, 11, 902, 374, 22066, 810, 54945, 1109, 3885, 304, 264, 3492, 11, 374, 810, 6847, 15324, 439, 264, 21102, 832, 627, 4071, 480, 46545, 320, 12533, 8, 439, 1664, 439, 12093, 613, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 6281, 8, 1486, 704, 430, 433, 374, 1633, 5107, 311, 89082, 264, 48704, 481, 62896, 1109, 2500, 2085, 520, 279, 1890, 892, 10223, 832, 315, 279, 1023, 13878, 627, 18, 13, 650, 68157, 18410, 512, 2028, 832, 323, 279, 2768, 13189, 3568, 449, 279, 5150, 10578, 2949, 264, 48704, 481, 13, 650, 363, 2053, 31965, 304, 264, 48704, 481, 649, 387, 1647, 5237, 339, 13483, 477, 294, 15619, 339, 13483, 11, 279, 4846, 1694, 15528, 11, 279, 15629, 3515, 264, 6541, 304, 77281, 4367, 13, 1115, 6541, 12992, 279, 31954, 315, 71199, 315, 279, 20081, 48704, 481, 627, 19, 13, 650, 68157, 34623, 320, 269, 3160, 997, 791, 12472, 315, 294, 15619, 339, 13483, 374, 18182, 12309, 1317, 320, 28753, 315, 279, 32931, 505, 832, 311, 2500, 77281, 705, 20444, 1647, 5237, 339, 13483, 1205, 311, 387, 2231, 1139, 1403, 311, 2380, 5315, 18815, 872, 3160, 13, 4314, 5315, 649, 17715, 387, 19180, 1139, 1317, 79556, 320, 68, 1326, 13, 611, 32, 15273, 14, 304, 7126, 705, 2875, 79556, 320, 68, 1326, 13, 611, 19321, 14, 304, 719, 705, 323, 7170, 11293, 79556, 439, 264, 1207, 3374, 315, 2875, 79556, 47325, 40, 51581, 11, 24633, 14, 705, 902, 4097, 279, 3325, 21102, 6305, 627, 2170, 311, 279, 12939, 315, 1521, 3116, 13878, 11, 2225, 480, 46545, 320, 12533, 8, 323, 12093, 613, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 6281, 12, 2721, 8, 1518, 9846, 439, 279, 1455, 3062, 832, 11, 1418, 4367, 374, 9932, 439, 264, 9099, 71199, 8331, 13, 4452, 11, 814, 1782, 304, 279, 12939, 315, 17813, 2136, 323, 12472, 13, 6104, 480, 46545, 6835, 264, 7191, 2759, 311, 17813, 2136, 11, 12093, 613, 1772, 24031, 430, 3160, 374, 279, 810, 3062, 13189, 627, 17, 13, 17, 578, 3116, 12628, 315, 71199, 198, 644, 4689, 11, 279, 3116, 13878, 9932, 304, 279, 3766, 12735, 1935, 2515, 389, 48704, 4893, 304, 10824, 13, 763, 34781, 315, 430, 11, 9846, 51502, 374, 279, 13189, 389, 902, 832, 1288, 1427, 1176, 11, 994, 832, 16696, 311, 8821, 71199, 1139, 3892, 5990, 477, 12628, 11, 439, 433, 374, 279, 1455, 15062, 832, 627, 80245, 389, 279, 10648, 315, 279, 4751, 1054, 46770, 71199, 863, 477, 1054, 466, 10462, 661, 8631, 863, 439, 264, 4726, 30296, 11, 832, 649, 54263, 1990, 2380, 477, 3116, 5990, 315, 3492, 5594, 676, 627, 39972, 613, 374, 4737, 264, 810, 4689, 323, 15325, 1648, 315, 4096, 555, 86055, 1193, 2380, 5990, 320, 23392, 71424, 25265, 323, 71424, 2508, 220, 2721, 12, 4161, 997, 10267, 603, 3240, 555, 3411, 520, 279, 3492, 3451, 20019, 529, 12769, 112638, 969, 20552, 11, 1405, 279, 8631, 2744, 17503, 9539, 389, 279, 1566, 48704, 481, 323, 279, 1176, 48704, 481, 374, 2744, 7621, 13, 5659, 279, 1486, 315, 1684, 315, 8631, 11, 279, 1455, 3062, 2144, 922, 279, 1648, 584, 89082, 420, 3492, 374, 430, 389, 279, 2132, 48704, 481, 279, 9846, 315, 279, 7899, 1587, 539, 7293, 2237, 11, 719, 6118, 17503, 505, 264, 5190, 311, 264, 4827, 9846, 13, 28624, 578, 71199, 430, 3135, 505, 420, 9846, 7351, 11, 477, 16630, 11, 6835, 279, 31005, 955, 315, 8631, 26, 420, 374, 2663, 6156, 8631, 627, 644, 1063, 4339, 11, 584, 649, 23846, 264, 955, 315, 8631, 430, 374, 43383, 1109, 6156, 8631, 719, 16643, 1109, 430, 315, 279, 1176, 48704, 481, 315, 3451, 20019, 529, 26, 369, 3187, 11, 304, 279, 1176, 510, 23707, 657, 481, 60, 315, 279, 510, 1178, 60, 3451, 52399, 12968, 529, 28624, 578, 8631, 304, 1521, 4339, 374, 2663, 14580, 8631, 13, 28624, 64105, 69, 24633, 61220, 24633, 112638, 911, 48, 69, 56362, 13, 126459, 1687, 617, 1457, 11054, 1403, 5990, 315, 8631, 25, 6156, 323, 14580, 26, 420, 1101, 24897, 264, 4948, 2237, 902, 649, 387, 2663, 65890, 14715, 323, 374, 27458, 439, 1694, 279, 19821, 315, 904, 5952, 82585, 3392, 315, 71199, 627, 1548, 1193, 20193, 34945, 279, 25885, 315, 264, 9099, 71199, 22900, 555, 79556, 512, 11458, 11, 433, 374, 5922, 27401, 430, 65890, 14715, 48704, 4893, 8649, 12769, 1174, 358, 1174, 602, 477, 577, 11, 264, 48704, 69391, 78605, 519, 690, 5222, 2753, 21102, 1109, 459, 65890, 14715, 48704, 481, 8649, 1063, 1023, 77281, 13, 28624, 1115, 1436, 387, 1511, 439, 264, 8197, 369, 264, 4726, 13096, 315, 8631, 5990, 11, 7231, 603, 264, 4948, 27179, 466, 10462, 661, 33611, 323, 11999, 2237, 627, 38, 46545, 320, 10697, 8, 6835, 2500, 30296, 1990, 279, 2204, 12628, 315, 71199, 512, 12, 34526, 320, 68, 7280, 340, 12, 34526, 320, 7280, 340, 12, 2958, 1404, 198, 12, 220, 2636, 26068, 198, 12, 32321, 5742, 198, 12, 43964, 611, 9304, 198, 12, 80474, 6830, 2635, 8363, 3907, 81934, 60241, 11500, 554, 76, 7881, 1389, 10181, 369, 7568, 1638, 1233, 14, 3778, 19241, 198, 12, 220, 16, 320, 32, 340, 12, 82909, 6498, 45241, 45397, 24561, 27740, 128001, -100, 791, 25460, 706, 2834, 264, 41385, 78796, 3772, 10292, 369, 279, 21416, 43738, 87486, 311, 279, 59410, 41752, 25, 279, 4545, 16286, 8603, 4295, 453, 12278, 278, 5418, 21970, 11, 29762, 11, 9204, 279, 7102, 311, 90089, 11062, 315, 264, 2565, 315, 61457, 1603, 872, 10632, 1051, 6656, 311, 74535, 627, 791, 7252, 5560, 315, 14434, 7972, 10292, 574, 2728, 311, 279, 25460, 753, 8121, 11050, 19496, 23109, 21606, 41769, 323, 21416, 15034, 480, 11687, 2563, 492, 11, 6690, 86, 1590, 529, 13142, 43048, 441, 323, 279, 29762, 6108, 23672, 1556, 300, 97452, 369, 872, 1005, 315, 2835, 11, 5448, 323, 7855, 17439, 555, 279, 11062, 315, 453, 12278, 278, 5418, 21970, 304, 279, 6596, 1306, 16286, 8603, 2663, 311, 3371, 1124, 433, 1053, 387, 76993, 627, 128001, -100, 644, 3432, 596, 5820, 11, 584, 527, 2133, 311, 387, 7999, 323, 33356, 287, 3148, 627, 29690, 25, 994, 499, 2351, 4691, 311, 1505, 279, 6811, 11, 499, 1205, 311, 990, 704, 279, 13225, 1990, 279, 1403, 5219, 13, 1472, 649, 656, 420, 555, 33356, 287, 279, 9333, 1396, 505, 279, 8294, 1396, 11, 477, 555, 7999, 389, 505, 279, 9333, 1396, 709, 311, 279, 8294, 1396, 627, 14581, 279, 5929, 16344, 2835, 323, 4686, 279, 37736, 3770, 627, 63178, 25, 12522, 264, 733, 520, 279, 3575, 22581, 323, 33811, 4860, 3770, 627, 15724, 11, 584, 527, 11469, 36018, 1555, 9455, 86506, 627, 14581, 279, 12607, 323, 4686, 701, 3465, 627, 7184, 374, 279, 892, 311, 1304, 701, 1866, 7160, 28960, 0, 1472, 649, 1005, 279, 3896, 3984, 477, 1005, 1023, 7384, 2561, 422, 499, 6562, 627, 14828, 279, 35612, 389, 279, 7160, 28960, 927, 279, 1828, 2478, 2919, 477, 5672, 13, 3639, 656, 499, 5406, 30, 128001, -100, 40, 1781, 264, 2763, 315, 1274, 1618, 527, 78214, 389, 3804, 6993, 369, 539, 1701, 813, 6689, 13, 1472, 13383, 279, 1023, 24909, 323, 7411, 7784, 956, 18754, 11, 1314, 30, 3277, 3804, 6993, 374, 389, 279, 10054, 872, 4553, 16399, 1887, 79476, 2212, 3339, 2771, 3804, 6993, 649, 956, 636, 813, 6689, 1022, 13, 4815, 1548, 1101, 2103, 50777, 264, 14599, 3392, 315, 10054, 892, 2403, 1948, 5238, 13, 2468, 279, 12688, 11670, 1306, 220, 17, 18852, 568, 574, 520, 220, 508, 25, 410, 315, 10054, 892, 13, 2684, 374, 264, 2678, 1396, 315, 4311, 889, 649, 3790, 430, 3169, 315, 10054, 892, 11, 433, 596, 9193, 15525, 382, 1687, 2351, 682, 33630, 11, 719, 422, 584, 1051, 3243, 287, 832, 5915, 3953, 1093, 584, 1051, 1566, 1060, 11, 912, 832, 1053, 387, 71546, 10194, 3804, 6993, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140 ]
[ 128000, 51839, 2498, 311, 35098, 1778, 439, 16174, 11, 12786, 19587, 67849, 477, 16603, 627, 51839, 2498, 311, 3177, 11, 779, 433, 649, 1524, 387, 1511, 34632, 627, 32, 28608, 12271, 11193, 279, 6138, 323, 4732, 315, 459, 1665, 555, 30090, 279, 22599, 315, 279, 9063, 17301, 430, 13471, 433, 627, 791, 1887, 374, 24306, 315, 264, 62210, 323, 14291, 13, 578, 62210, 1380, 45803, 66669, 17301, 11, 1418, 279, 14291, 41255, 279, 17301, 27000, 1022, 315, 459, 1665, 17948, 555, 1124, 11, 994, 814, 34782, 1203, 7119, 279, 62210, 627, 1383, 42118, 279, 12062, 1990, 279, 48042, 323, 4036, 17301, 11, 433, 374, 3284, 311, 11294, 279, 6138, 315, 279, 1665, 430, 27000, 279, 17301, 11, 1202, 4732, 323, 16430, 1023, 6012, 315, 279, 1665, 627, 30431, 442, 39100, 17301, 527, 9193, 31785, 311, 85160, 11, 1093, 16174, 11, 35098, 11, 16603, 11, 31349, 477, 27394, 11, 323, 814, 5944, 520, 279, 4732, 315, 3177, 11, 13489, 220, 3101, 11, 931, 13437, 2754, 627, 791, 2585, 5089, 649, 3790, 709, 311, 220, 21, 28608, 26148, 13, 1102, 706, 220, 16, 19220, 9442, 11, 220, 17, 32951, 16674, 369, 1023, 43080, 7766, 1778, 439, 3177, 40825, 323, 220, 18, 44494, 11374, 369, 5318, 287, 323, 1023, 5865, 627, 37830, 311, 1005, 3241, 374, 1511, 311, 14749, 279, 1887, 13, 1102, 1101, 5825, 1887, 2704, 11, 1887, 10741, 323, 13709, 15293, 627, 791, 1887, 374, 29546, 33705, 13, 1666, 459, 3187, 11, 264, 1887, 449, 220, 17, 26148, 323, 264, 6597, 374, 1234, 400, 1049, 15, 323, 3241, 374, 1949, 627, 128001, 128000, 13730, 5039, 430, 7140, 21395, 374, 279, 1455, 15528, 5054, 5502, 11, 9536, 89267, 315, 7140, 543, 2681, 323, 5426, 7829, 13, 578, 1614, 2011, 15803, 279, 3268, 315, 1202, 10495, 315, 904, 42240, 488, 11, 15803, 287, 279, 11542, 315, 13901, 13, 13596, 15528, 1646, 315, 3674, 24844, 1587, 539, 3073, 13, 2468, 3325, 11, 1070, 374, 539, 1778, 3187, 369, 3432, 627, 3923, 374, 279, 7580, 315, 16741, 395, 1122, 5426, 7351, 520, 420, 6566, 5380, 34, 2496, 395, 5493, 320, 34, 2496, 395, 5493, 8, 482, 279, 1274, 11, 6832, 18455, 574, 69912, 555, 279, 8690, 29831, 556, 439, 264, 1121, 315, 264, 9478, 8690, 7813, 2496, 395, 1122, 5111, 304, 279, 1667, 315, 220, 10967, 18, 12, 9714, 19, 13, 1628, 9210, 439, 264, 1121, 315, 420, 62366, 574, 38126, 311, 53624, 13, 763, 5369, 11, 279, 8857, 315, 1057, 1274, 1457, 3974, 304, 61087, 26, 279, 9861, 16741, 395, 5493, 304, 279, 60532, 355, 527, 19180, 69949, 8046, 1234, 2204, 5144, 482, 330, 2654, 88, 713, 1065, 498, 330, 42, 370, 569, 1122, 437, 498, 56207, 12841, 323, 2059, 2690, 13602, 13, 763, 420, 1162, 11, 279, 16741, 395, 5493, 617, 264, 3254, 659, 482, 2467, 49865, 383, 11, 323, 264, 4279, 11789, 482, 2467, 88, 43253, 3059, 13, 578, 6671, 304, 902, 16741, 395, 5493, 3073, 3432, 11, 539, 1193, 23093, 31095, 98697, 2383, 482, 433, 374, 49188, 28743, 53407, 1348, 11, 584, 7631, 459, 842, 311, 279, 12079, 323, 52583, 13096, 315, 1057, 1274, 520, 2162, 53407, 1348, 11, 584, 7631, 279, 2109, 2416, 367, 315, 279, 1614, 7471, 315, 16741, 395, 5493, 311, 279, 34, 21068, 300, 355, 11, 279, 810, 430, 6617, 8524, 374, 264, 34665, 315, 279, 8690, 1614, 323, 9993, 68, 830, 269, 8884, 11953, 704, 279, 53624, 315, 16741, 395, 5493, 323, 872, 95989, 505, 279, 60532, 355, 76369, 3085, 311, 603, 539, 311, 4933, 1521, 4819, 304, 279, 330, 609, 315, 20334, 3343, 2030, 3249, 304, 279, 39994, 279, 1890, 20334, 315, 279, 8690, 28331, 279, 3488, 315, 2109, 2416, 367, 315, 279, 34, 2496, 395, 5493, 1587, 539, 2686, 30, 8595, 304, 279, 836, 315, 279, 1890, 20334, 1070, 374, 539, 77752, 1968, 311, 11552, 18455, 315, 279, 13970, 16741, 395, 689, 304, 832, 5502, 30, 10445, 279, 330, 267, 2968, 1, 1288, 387, 17427, 520, 279, 20900, 315, 279, 16741, 395, 1122, 1274, 323, 872, 5933, 3268, 30, 10445, 11, 369, 3187, 11, 1070, 574, 3549, 279, 4892, 60532, 355, 12411, 11182, 11, 304, 902, 15058, 354, 5343, 735, 13075, 35666, 277, 18455, 323, 279, 5545, 315, 2467, 88, 713, 64, 30, 8595, 279, 3224, 596, 79486, 2200, 706, 6773, 311, 4726, 22497, 279, 16741, 395, 1122, 1274, 11, 1457, 304, 5370, 6918, 36491, 82, 30, 47916, 814, 1047, 13487, 439, 389, 11, 912, 5030, 1148, 2440, 3611, 3366, 311, 603, 11, 584, 690, 2231, 11, 13741, 11, 323, 690, 4933, 1521, 4819, 439, 1317, 439, 279, 16741, 395, 1122, 1274, 690, 539, 3974, 389, 872, 4363, 439, 264, 29292, 7140, 13, 1226, 617, 1475, 1314, 311, 656, 433, 13, 1226, 20903, 527, 279, 16741, 395, 1122, 7140, 11, 323, 906, 617, 1057, 1866, 12034, 23210, 11, 279, 16741, 395, 5493, 11, 527, 12691, 315, 1057, 3925, 13, 1226, 527, 12691, 315, 1057, 7829, 13, 1226, 527, 12691, 1073, 1057, 5426, 19675, 482, 29976, 3059, 13, 10926, 433, 596, 4423, 1587, 539, 1093, 433, 11, 719, 433, 2425, 11793, 430, 36611, 603, 439, 264, 7140, 11, 323, 2085, 48786, 311, 904, 1023, 7140, 13, 128001, 128000, 12, 9984, 60137, 198, 12, 3142, 96353, 198, 75066, 32917, 574, 1101, 3967, 439, 35218, 677, 278, 32042, 323, 439, 35218, 1073, 18812, 14225, 754, 627, 40, 1390, 311, 3371, 499, 2555, 430, 374, 539, 15972, 304, 586, 8853, 13, 8170, 374, 420, 15972, 1524, 304, 1455, 9052, 8853, 627, 13590, 279, 1648, 11, 1550, 499, 1440, 430, 279, 16376, 23880, 520, 220, 3534, 7693, 1317, 574, 1193, 220, 1544, 7693, 5129, 1109, 264, 11291, 70824, 59785, 10398, 39882, 13552, 51905, 6153, 4330, 24552, 11, 32917, 8625, 264, 26454, 323, 20733, 7216, 889, 706, 1027, 5370, 398, 7633, 439, 832, 315, 279, 12474, 513, 25807, 304, 3925, 11, 264, 35201, 11, 264, 893, 315, 10082, 11, 264, 5426, 12084, 11, 459, 23541, 8060, 323, 264, 69510, 323, 57080, 35379, 380, 13, 1102, 682, 14117, 389, 889, 499, 3137, 311, 627, 34, 1152, 10551, 6, 5149, 311, 1505, 264, 9909, 1637, 6149, 311, 13936, 14264, 704, 315, 279, 15325, 3217, 315, 264, 1317, 58412, 7076, 11, 439, 1664, 439, 704, 315, 813, 24779, 6677, 304, 54001, 11, 7558, 32277, 323, 70634, 17649, 13, 1102, 2011, 1101, 387, 27569, 430, 420, 11879, 311, 30503, 11, 7142, 502, 12098, 323, 7417, 36754, 449, 6890, 323, 279, 13759, 6460, 3952, 2035, 389, 279, 49996, 315, 279, 12168, 81560, 529, 95989, 315, 279, 6178, 1105, 320, 90889, 82, 8, 323, 17420, 505, 18157, 323, 34411, 627, 1688, 279, 892, 11, 682, 279, 2362, 14370, 315, 279, 1917, 8710, 430, 279, 9420, 574, 4883, 13, 32917, 1047, 20041, 7558, 5814, 449, 813, 10868, 304, 18157, 13, 763, 14154, 3115, 69938, 7020, 430, 279, 9420, 574, 4883, 11, 323, 279, 14248, 539, 1193, 24740, 433, 574, 264, 26436, 719, 1524, 320, 63054, 398, 8, 13240, 279, 1917, 753, 1404, 13, 2100, 994, 26035, 32917, 11223, 311, 5662, 6890, 555, 51129, 9909, 505, 18157, 11, 568, 574, 912, 17741, 1389, 568, 7020, 430, 279, 9420, 574, 4883, 13, 1283, 1120, 3287, 1431, 1440, 315, 264, 5199, 4668, 2663, 279, 11104, 96878, 627, 4071, 279, 9441, 374, 279, 11447, 430, 65101, 1455, 315, 279, 1917, 430, 279, 9578, 574, 10269, 13, 20474, 25, 279, 17377, 13739, 922, 1054, 1820, 3116, 24359, 315, 279, 9420, 1359, 323, 279, 8993, 5042, 4934, 1274, 311, 4287, 279, 17377, 13, 1556, 3187, 374, 430, 315, 64530, 220, 806, 25, 717, 13, 1054, 3112, 568, 4985, 743, 709, 459, 4675, 625, 369, 279, 17089, 11, 323, 4985, 42840, 279, 704, 51134, 315, 6921, 11, 323, 9762, 3871, 279, 77810, 315, 11462, 1494, 505, 279, 3116, 24359, 315, 279, 9420, 2029, 27179, 28070, 24359, 863, 5042, 72214, 1054, 543, 9520, 477, 1054, 306, 556, 9520, 719, 1587, 539, 3881, 311, 279, 13625, 22036, 388, 3158, 315, 1561, 12550, 11, 17368, 11, 23195, 11, 323, 15745, 29275, 4516, 279, 8993, 21699, 311, 506, 26660, 349, 477, 5622, 5606, 889, 71803, 449, 433, 13, 578, 6037, 574, 11, 430, 2533, 279, 17377, 2795, 430, 1070, 527, 3116, 24359, 311, 279, 9420, 323, 430, 279, 7160, 26432, 279, 9420, 11, 499, 617, 912, 93370, 3734, 311, 7655, 13, 2030, 430, 374, 3249, 584, 2011, 4007, 54250, 369, 1148, 433, 3445, 439, 1664, 439, 369, 1148, 433, 2795, 320, 5660, 45568, 220, 17, 25, 868, 4390, 31428, 24481, 315, 32917, 596, 43422, 323, 5552, 8336, 16805, 430, 1070, 574, 2500, 1633, 3062, 2944, 369, 32917, 6, 12876, 311, 30503, 4028, 279, 54280, 13, 3771, 78, 809, 729, 320, 19875, 1481, 21449, 8, 574, 2500, 2373, 315, 813, 836, 13, 26035, 11846, 430, 568, 574, 3512, 22870, 86724, 555, 4359, 311, 6920, 32186, 4028, 279, 9909, 1637, 18435, 311, 1148, 568, 62357, 1051, 279, 15117, 598, 315, 279, 62574, 13, 32917, 7020, 430, 4359, 2663, 1461, 311, 387, 264, 3728, 39153, 380, 13, 5414, 11224, 12876, 574, 430, 11, 330, 1820, 7904, 17089, 2643, 3719, 44935, 388, 304, 279, 92906, 28022, 9441, 315, 32450, 10246, 3923, 7077, 311, 420, 73998, 11, 420, 87490, 30, 1283, 2751, 3185, 10398, 11440, 13, 1283, 6244, 50500, 449, 7573, 85001, 13, 9393, 315, 813, 4814, 315, 11376, 11, 568, 5675, 4395, 430, 1047, 1027, 4694, 369, 1461, 627, 1548, 5675, 682, 279, 70934, 430, 6342, 93607, 323, 16657, 2209, 72690, 19487, 1461, 13, 1283, 5675, 279, 26155, 315, 18198, 430, 279, 11734, 323, 29006, 19487, 1461, 13, 1283, 5675, 682, 279, 15671, 315, 13348, 1429, 430, 1051, 19487, 1461, 13, 1628, 568, 5675, 279, 26632, 315, 3515, 279, 502, 12098, 7086, 1306, 1461, 627, 9241, 300, 32917, 3463, 568, 1047, 8813, 279, 6460, 320, 19041, 1348, 8260, 279, 39678, 1274, 1054, 1451, 5493, 56955, 264, 19225, 320, 32, 1195, 7992, 79562, 5701, 57808, 8, 10675, 430, 279, 502, 12098, 1051, 539, 279, 3117, 11226, 11, 719, 4856, 502, 12098, 539, 1077, 295, 1073, 461, 3967, 311, 51607, 13, 9393, 32917, 1047, 5675, 35379, 4799, 11, 279, 12098, 1051, 7086, 1306, 50873, 7992, 79562, 5701, 57808, 13, 5046, 3388, 11, 584, 1440, 279, 32843, 439, 4892, 11, 10913, 11, 323, 4987, 5270, 627, 34, 1152, 10551, 529, 1176, 8577, 574, 304, 220, 10161, 17, 11, 813, 11999, 8577, 574, 304, 220, 3965, 19, 11, 323, 568, 8636, 304, 220, 3965, 21, 13, 2057, 813, 23069, 1938, 11, 568, 6818, 311, 32593, 813, 33415, 11, 813, 17444, 11, 323, 813, 2704, 304, 2324, 13, 2030, 568, 8636, 264, 11102, 893, 1120, 1403, 1667, 1306, 813, 11999, 339, 8577, 627, 10267, 753, 539, 2187, 56926, 311, 7066, 1057, 6439, 439, 433, 1550, 26035, 32917, 13, 128001 ]
[ -100, 51839, 2498, 311, 35098, 1778, 439, 16174, 11, 12786, 19587, 67849, 477, 16603, 627, 51839, 2498, 311, 3177, 11, 779, 433, 649, 1524, 387, 1511, 34632, 627, 32, 28608, 12271, 11193, 279, 6138, 323, 4732, 315, 459, 1665, 555, 30090, 279, 22599, 315, 279, 9063, 17301, 430, 13471, 433, 627, 791, 1887, 374, 24306, 315, 264, 62210, 323, 14291, 13, 578, 62210, 1380, 45803, 66669, 17301, 11, 1418, 279, 14291, 41255, 279, 17301, 27000, 1022, 315, 459, 1665, 17948, 555, 1124, 11, 994, 814, 34782, 1203, 7119, 279, 62210, 627, 1383, 42118, 279, 12062, 1990, 279, 48042, 323, 4036, 17301, 11, 433, 374, 3284, 311, 11294, 279, 6138, 315, 279, 1665, 430, 27000, 279, 17301, 11, 1202, 4732, 323, 16430, 1023, 6012, 315, 279, 1665, 627, 30431, 442, 39100, 17301, 527, 9193, 31785, 311, 85160, 11, 1093, 16174, 11, 35098, 11, 16603, 11, 31349, 477, 27394, 11, 323, 814, 5944, 520, 279, 4732, 315, 3177, 11, 13489, 220, 3101, 11, 931, 13437, 2754, 627, 791, 2585, 5089, 649, 3790, 709, 311, 220, 21, 28608, 26148, 13, 1102, 706, 220, 16, 19220, 9442, 11, 220, 17, 32951, 16674, 369, 1023, 43080, 7766, 1778, 439, 3177, 40825, 323, 220, 18, 44494, 11374, 369, 5318, 287, 323, 1023, 5865, 627, 37830, 311, 1005, 3241, 374, 1511, 311, 14749, 279, 1887, 13, 1102, 1101, 5825, 1887, 2704, 11, 1887, 10741, 323, 13709, 15293, 627, 791, 1887, 374, 29546, 33705, 13, 1666, 459, 3187, 11, 264, 1887, 449, 220, 17, 26148, 323, 264, 6597, 374, 1234, 400, 1049, 15, 323, 3241, 374, 1949, 627, 128001, -100, 13730, 5039, 430, 7140, 21395, 374, 279, 1455, 15528, 5054, 5502, 11, 9536, 89267, 315, 7140, 543, 2681, 323, 5426, 7829, 13, 578, 1614, 2011, 15803, 279, 3268, 315, 1202, 10495, 315, 904, 42240, 488, 11, 15803, 287, 279, 11542, 315, 13901, 13, 13596, 15528, 1646, 315, 3674, 24844, 1587, 539, 3073, 13, 2468, 3325, 11, 1070, 374, 539, 1778, 3187, 369, 3432, 627, 3923, 374, 279, 7580, 315, 16741, 395, 1122, 5426, 7351, 520, 420, 6566, 5380, 34, 2496, 395, 5493, 320, 34, 2496, 395, 5493, 8, 482, 279, 1274, 11, 6832, 18455, 574, 69912, 555, 279, 8690, 29831, 556, 439, 264, 1121, 315, 264, 9478, 8690, 7813, 2496, 395, 1122, 5111, 304, 279, 1667, 315, 220, 10967, 18, 12, 9714, 19, 13, 1628, 9210, 439, 264, 1121, 315, 420, 62366, 574, 38126, 311, 53624, 13, 763, 5369, 11, 279, 8857, 315, 1057, 1274, 1457, 3974, 304, 61087, 26, 279, 9861, 16741, 395, 5493, 304, 279, 60532, 355, 527, 19180, 69949, 8046, 1234, 2204, 5144, 482, 330, 2654, 88, 713, 1065, 498, 330, 42, 370, 569, 1122, 437, 498, 56207, 12841, 323, 2059, 2690, 13602, 13, 763, 420, 1162, 11, 279, 16741, 395, 5493, 617, 264, 3254, 659, 482, 2467, 49865, 383, 11, 323, 264, 4279, 11789, 482, 2467, 88, 43253, 3059, 13, 578, 6671, 304, 902, 16741, 395, 5493, 3073, 3432, 11, 539, 1193, 23093, 31095, 98697, 2383, 482, 433, 374, 49188, 28743, 53407, 1348, 11, 584, 7631, 459, 842, 311, 279, 12079, 323, 52583, 13096, 315, 1057, 1274, 520, 2162, 53407, 1348, 11, 584, 7631, 279, 2109, 2416, 367, 315, 279, 1614, 7471, 315, 16741, 395, 5493, 311, 279, 34, 21068, 300, 355, 11, 279, 810, 430, 6617, 8524, 374, 264, 34665, 315, 279, 8690, 1614, 323, 9993, 68, 830, 269, 8884, 11953, 704, 279, 53624, 315, 16741, 395, 5493, 323, 872, 95989, 505, 279, 60532, 355, 76369, 3085, 311, 603, 539, 311, 4933, 1521, 4819, 304, 279, 330, 609, 315, 20334, 3343, 2030, 3249, 304, 279, 39994, 279, 1890, 20334, 315, 279, 8690, 28331, 279, 3488, 315, 2109, 2416, 367, 315, 279, 34, 2496, 395, 5493, 1587, 539, 2686, 30, 8595, 304, 279, 836, 315, 279, 1890, 20334, 1070, 374, 539, 77752, 1968, 311, 11552, 18455, 315, 279, 13970, 16741, 395, 689, 304, 832, 5502, 30, 10445, 279, 330, 267, 2968, 1, 1288, 387, 17427, 520, 279, 20900, 315, 279, 16741, 395, 1122, 1274, 323, 872, 5933, 3268, 30, 10445, 11, 369, 3187, 11, 1070, 574, 3549, 279, 4892, 60532, 355, 12411, 11182, 11, 304, 902, 15058, 354, 5343, 735, 13075, 35666, 277, 18455, 323, 279, 5545, 315, 2467, 88, 713, 64, 30, 8595, 279, 3224, 596, 79486, 2200, 706, 6773, 311, 4726, 22497, 279, 16741, 395, 1122, 1274, 11, 1457, 304, 5370, 6918, 36491, 82, 30, 47916, 814, 1047, 13487, 439, 389, 11, 912, 5030, 1148, 2440, 3611, 3366, 311, 603, 11, 584, 690, 2231, 11, 13741, 11, 323, 690, 4933, 1521, 4819, 439, 1317, 439, 279, 16741, 395, 1122, 1274, 690, 539, 3974, 389, 872, 4363, 439, 264, 29292, 7140, 13, 1226, 617, 1475, 1314, 311, 656, 433, 13, 1226, 20903, 527, 279, 16741, 395, 1122, 7140, 11, 323, 906, 617, 1057, 1866, 12034, 23210, 11, 279, 16741, 395, 5493, 11, 527, 12691, 315, 1057, 3925, 13, 1226, 527, 12691, 315, 1057, 7829, 13, 1226, 527, 12691, 1073, 1057, 5426, 19675, 482, 29976, 3059, 13, 10926, 433, 596, 4423, 1587, 539, 1093, 433, 11, 719, 433, 2425, 11793, 430, 36611, 603, 439, 264, 7140, 11, 323, 2085, 48786, 311, 904, 1023, 7140, 13, 128001, -100, 12, 9984, 60137, 198, 12, 3142, 96353, 198, 75066, 32917, 574, 1101, 3967, 439, 35218, 677, 278, 32042, 323, 439, 35218, 1073, 18812, 14225, 754, 627, 40, 1390, 311, 3371, 499, 2555, 430, 374, 539, 15972, 304, 586, 8853, 13, 8170, 374, 420, 15972, 1524, 304, 1455, 9052, 8853, 627, 13590, 279, 1648, 11, 1550, 499, 1440, 430, 279, 16376, 23880, 520, 220, 3534, 7693, 1317, 574, 1193, 220, 1544, 7693, 5129, 1109, 264, 11291, 70824, 59785, 10398, 39882, 13552, 51905, 6153, 4330, 24552, 11, 32917, 8625, 264, 26454, 323, 20733, 7216, 889, 706, 1027, 5370, 398, 7633, 439, 832, 315, 279, 12474, 513, 25807, 304, 3925, 11, 264, 35201, 11, 264, 893, 315, 10082, 11, 264, 5426, 12084, 11, 459, 23541, 8060, 323, 264, 69510, 323, 57080, 35379, 380, 13, 1102, 682, 14117, 389, 889, 499, 3137, 311, 627, 34, 1152, 10551, 6, 5149, 311, 1505, 264, 9909, 1637, 6149, 311, 13936, 14264, 704, 315, 279, 15325, 3217, 315, 264, 1317, 58412, 7076, 11, 439, 1664, 439, 704, 315, 813, 24779, 6677, 304, 54001, 11, 7558, 32277, 323, 70634, 17649, 13, 1102, 2011, 1101, 387, 27569, 430, 420, 11879, 311, 30503, 11, 7142, 502, 12098, 323, 7417, 36754, 449, 6890, 323, 279, 13759, 6460, 3952, 2035, 389, 279, 49996, 315, 279, 12168, 81560, 529, 95989, 315, 279, 6178, 1105, 320, 90889, 82, 8, 323, 17420, 505, 18157, 323, 34411, 627, 1688, 279, 892, 11, 682, 279, 2362, 14370, 315, 279, 1917, 8710, 430, 279, 9420, 574, 4883, 13, 32917, 1047, 20041, 7558, 5814, 449, 813, 10868, 304, 18157, 13, 763, 14154, 3115, 69938, 7020, 430, 279, 9420, 574, 4883, 11, 323, 279, 14248, 539, 1193, 24740, 433, 574, 264, 26436, 719, 1524, 320, 63054, 398, 8, 13240, 279, 1917, 753, 1404, 13, 2100, 994, 26035, 32917, 11223, 311, 5662, 6890, 555, 51129, 9909, 505, 18157, 11, 568, 574, 912, 17741, 1389, 568, 7020, 430, 279, 9420, 574, 4883, 13, 1283, 1120, 3287, 1431, 1440, 315, 264, 5199, 4668, 2663, 279, 11104, 96878, 627, 4071, 279, 9441, 374, 279, 11447, 430, 65101, 1455, 315, 279, 1917, 430, 279, 9578, 574, 10269, 13, 20474, 25, 279, 17377, 13739, 922, 1054, 1820, 3116, 24359, 315, 279, 9420, 1359, 323, 279, 8993, 5042, 4934, 1274, 311, 4287, 279, 17377, 13, 1556, 3187, 374, 430, 315, 64530, 220, 806, 25, 717, 13, 1054, 3112, 568, 4985, 743, 709, 459, 4675, 625, 369, 279, 17089, 11, 323, 4985, 42840, 279, 704, 51134, 315, 6921, 11, 323, 9762, 3871, 279, 77810, 315, 11462, 1494, 505, 279, 3116, 24359, 315, 279, 9420, 2029, 27179, 28070, 24359, 863, 5042, 72214, 1054, 543, 9520, 477, 1054, 306, 556, 9520, 719, 1587, 539, 3881, 311, 279, 13625, 22036, 388, 3158, 315, 1561, 12550, 11, 17368, 11, 23195, 11, 323, 15745, 29275, 4516, 279, 8993, 21699, 311, 506, 26660, 349, 477, 5622, 5606, 889, 71803, 449, 433, 13, 578, 6037, 574, 11, 430, 2533, 279, 17377, 2795, 430, 1070, 527, 3116, 24359, 311, 279, 9420, 323, 430, 279, 7160, 26432, 279, 9420, 11, 499, 617, 912, 93370, 3734, 311, 7655, 13, 2030, 430, 374, 3249, 584, 2011, 4007, 54250, 369, 1148, 433, 3445, 439, 1664, 439, 369, 1148, 433, 2795, 320, 5660, 45568, 220, 17, 25, 868, 4390, 31428, 24481, 315, 32917, 596, 43422, 323, 5552, 8336, 16805, 430, 1070, 574, 2500, 1633, 3062, 2944, 369, 32917, 6, 12876, 311, 30503, 4028, 279, 54280, 13, 3771, 78, 809, 729, 320, 19875, 1481, 21449, 8, 574, 2500, 2373, 315, 813, 836, 13, 26035, 11846, 430, 568, 574, 3512, 22870, 86724, 555, 4359, 311, 6920, 32186, 4028, 279, 9909, 1637, 18435, 311, 1148, 568, 62357, 1051, 279, 15117, 598, 315, 279, 62574, 13, 32917, 7020, 430, 4359, 2663, 1461, 311, 387, 264, 3728, 39153, 380, 13, 5414, 11224, 12876, 574, 430, 11, 330, 1820, 7904, 17089, 2643, 3719, 44935, 388, 304, 279, 92906, 28022, 9441, 315, 32450, 10246, 3923, 7077, 311, 420, 73998, 11, 420, 87490, 30, 1283, 2751, 3185, 10398, 11440, 13, 1283, 6244, 50500, 449, 7573, 85001, 13, 9393, 315, 813, 4814, 315, 11376, 11, 568, 5675, 4395, 430, 1047, 1027, 4694, 369, 1461, 627, 1548, 5675, 682, 279, 70934, 430, 6342, 93607, 323, 16657, 2209, 72690, 19487, 1461, 13, 1283, 5675, 279, 26155, 315, 18198, 430, 279, 11734, 323, 29006, 19487, 1461, 13, 1283, 5675, 682, 279, 15671, 315, 13348, 1429, 430, 1051, 19487, 1461, 13, 1628, 568, 5675, 279, 26632, 315, 3515, 279, 502, 12098, 7086, 1306, 1461, 627, 9241, 300, 32917, 3463, 568, 1047, 8813, 279, 6460, 320, 19041, 1348, 8260, 279, 39678, 1274, 1054, 1451, 5493, 56955, 264, 19225, 320, 32, 1195, 7992, 79562, 5701, 57808, 8, 10675, 430, 279, 502, 12098, 1051, 539, 279, 3117, 11226, 11, 719, 4856, 502, 12098, 539, 1077, 295, 1073, 461, 3967, 311, 51607, 13, 9393, 32917, 1047, 5675, 35379, 4799, 11, 279, 12098, 1051, 7086, 1306, 50873, 7992, 79562, 5701, 57808, 13, 5046, 3388, 11, 584, 1440, 279, 32843, 439, 4892, 11, 10913, 11, 323, 4987, 5270, 627, 34, 1152, 10551, 529, 1176, 8577, 574, 304, 220, 10161, 17, 11, 813, 11999, 8577, 574, 304, 220, 3965, 19, 11, 323, 568, 8636, 304, 220, 3965, 21, 13, 2057, 813, 23069, 1938, 11, 568, 6818, 311, 32593, 813, 33415, 11, 813, 17444, 11, 323, 813, 2704, 304, 2324, 13, 2030, 568, 8636, 264, 11102, 893, 1120, 1403, 1667, 1306, 813, 11999, 339, 8577, 627, 10267, 753, 539, 2187, 56926, 311, 7066, 1057, 6439, 439, 433, 1550, 26035, 32917, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 43346, 18311, 1427, 421, 2058, 374, 2884, 555, 3060, 315, 1403, 5528, 26, 12704, 12092, 477, 34799, 6147, 13, 1102, 374, 3062, 311, 33137, 1990, 279, 1403, 11, 1606, 814, 527, 1633, 2204, 505, 832, 2500, 627, 12, 39285, 12092, 374, 264, 1749, 430, 5829, 264, 20278, 482, 10213, 35872, 66796, 477, 35784, 824, 55189, 482, 311, 8590, 2740, 83451, 279, 4871, 315, 279, 26588, 320, 8370, 374, 2663, 18653, 258, 570, 1115, 690, 1304, 279, 26588, 421, 2058, 1109, 433, 18182, 374, 13, 578, 4642, 25795, 374, 2663, 330, 901, 12092, 8479, 23811, 12, 27484, 6147, 374, 264, 1749, 430, 99097, 21512, 288, 323, 1499, 21168, 279, 16335, 6324, 315, 279, 26588, 320, 19171, 2663, 92848, 8, 779, 430, 279, 26588, 753, 5933, 1933, 374, 28101, 13, 3562, 315, 279, 18653, 258, 374, 35957, 13, 578, 4642, 25795, 374, 2663, 330, 54988, 535, 2449, 23811, 12834, 18311, 34799, 6147, 320, 269, 12704, 12092, 8, 706, 3719, 779, 5526, 304, 3293, 1667, 11, 21308, 53056, 5220, 617, 2586, 709, 449, 264, 8205, 315, 2204, 5528, 13, 4314, 527, 279, 1455, 4279, 6305, 512, 12, 27484, 6147, 26588, 57968, 482, 3296, 77826, 701, 18311, 449, 264, 34799, 6147, 26588, 57968, 11, 279, 94804, 2449, 304, 433, 320, 68, 1326, 13, 77889, 477, 296, 3074, 8, 690, 99097, 4148, 63563, 323, 2624, 795, 811, 505, 279, 92848, 13, 1115, 374, 264, 1633, 4228, 323, 17049, 1749, 11, 719, 1288, 387, 1511, 449, 28930, 13, 32944, 449, 63563, 11, 264, 2678, 961, 315, 279, 92848, 690, 1101, 387, 88937, 3201, 11, 902, 3445, 430, 2288, 21420, 1005, 649, 5674, 279, 26588, 627, 12, 21931, 12704, 12092, 555, 264, 50351, 482, 1115, 374, 2085, 264, 10712, 279, 62844, 323, 1455, 7524, 1648, 311, 636, 421, 2058, 18311, 13, 2030, 433, 753, 1101, 279, 1455, 11646, 11, 555, 3117, 13, 4718, 50351, 690, 1176, 3041, 701, 18311, 459, 26767, 311, 1304, 2771, 12704, 12092, 649, 387, 2884, 304, 264, 6220, 1648, 13, 578, 50351, 1243, 12704, 14576, 279, 18311, 1701, 264, 3361, 18316, 11, 7170, 49858, 449, 279, 1520, 315, 3177, 320, 13953, 477, 15104, 11968, 4390, 12, 27484, 6147, 31022, 482, 1115, 520, 25389, 1749, 5829, 31022, 449, 459, 16335, 6324, 315, 12704, 12092, 18316, 11, 14614, 279, 1890, 3460, 315, 824, 55189, 430, 18653, 1705, 1005, 320, 8248, 304, 4827, 20545, 570, 3861, 13619, 374, 9435, 311, 279, 8582, 18311, 11, 323, 2500, 13619, 374, 9277, 389, 279, 4827, 18311, 13, 13969, 279, 31022, 389, 369, 439, 1317, 439, 279, 14290, 40912, 13, 18591, 527, 6118, 37154, 627, 12, 27484, 6147, 16530, 482, 10541, 433, 706, 279, 3492, 19524, 1336, 275, 6147, 863, 304, 279, 836, 11, 420, 1749, 3604, 5829, 279, 1890, 12704, 12092, 18316, 439, 701, 50351, 1053, 1005, 13, 578, 18316, 374, 9277, 304, 264, 3361, 35788, 11, 323, 1243, 499, 2231, 701, 18311, 304, 279, 18316, 369, 264, 5300, 3392, 315, 892, 13, 578, 550, 292, 1291, 32596, 690, 2586, 449, 92825, 430, 527, 2587, 29441, 11951, 369, 499, 11, 902, 315, 3388, 690, 7417, 279, 3135, 13, 4497, 11646, 1109, 279, 31022, 323, 26588, 79, 28006, 11, 719, 23917, 1109, 264, 6721, 12704, 12092, 13, 1666, 1317, 439, 499, 527, 16994, 311, 539, 5387, 701, 18311, 304, 279, 18316, 369, 2288, 1317, 11, 420, 1436, 387, 264, 1633, 1695, 5873, 422, 499, 1390, 311, 636, 421, 2058, 18311, 627, 3947, 527, 1023, 5528, 439, 1664, 11, 719, 7000, 430, 527, 439, 1695, 279, 3116, 27548, 7633, 3485, 13, 1442, 499, 527, 44003, 1148, 311, 656, 11, 3137, 311, 701, 50351, 311, 636, 279, 9647, 315, 264, 6721, 13, 4702, 387, 8010, 430, 701, 50351, 1436, 387, 48761, 4245, 311, 60618, 8125, 13, 128001, 128000, 644, 3432, 753, 8396, 11, 1690, 1274, 1005, 279, 4751, 1054, 6540, 5174, 863, 2085, 2216, 8830, 279, 837, 7438, 11, 304, 2144, 11, 304, 264, 4689, 5647, 11, 1274, 3629, 11, 4415, 3210, 8464, 311, 5694, 477, 3885, 889, 1304, 30571, 477, 1054, 12158, 3919, 863, 54245, 477, 296, 23568, 872, 4339, 439, 1054, 6540, 5174, 113068, 3957, 433, 15538, 5380, 11649, 11, 656, 499, 1093, 1694, 2663, 459, 1054, 769, 11345, 863, 477, 1054, 1687, 2668, 78, 863, 477, 1054, 35, 334, 74, 2025, 74022, 1243, 3249, 1053, 4423, 1093, 1694, 14183, 311, 439, 264, 1054, 6540, 5174, 863, 5423, 2728, 430, 1633, 2478, 3604, 3619, 1148, 279, 3492, 3445, 477, 1405, 433, 4131, 505, 13, 6914, 753, 4048, 922, 433, 1457, 4999, 6540, 5174, 488, 374, 279, 837, 836, 369, 264, 3044, 304, 902, 3738, 24569, 527, 31978, 51068, 13, 1115, 71895, 11384, 70334, 477, 10508, 2136, 315, 279, 24569, 323, 649, 40978, 449, 4725, 7351, 11, 8982, 323, 342, 1339, 13, 3165, 5174, 488, 374, 6118, 9057, 555, 5674, 311, 279, 13651, 315, 279, 8271, 477, 50112, 23125, 430, 11835, 37079, 7351, 627, 791, 5674, 11384, 264, 2349, 304, 279, 8335, 315, 17738, 1990, 279, 23418, 1887, 323, 279, 24569, 13, 1115, 68331, 11767, 311, 7319, 5820, 304, 279, 24569, 13, 3165, 5174, 488, 48291, 22223, 24569, 323, 35358, 315, 279, 6000, 1385, 323, 374, 8104, 28856, 311, 7982, 2911, 627, 4438, 1587, 993, 5174, 488, 3621, 5380, 3947, 527, 1690, 2204, 13124, 315, 993, 5174, 488, 13, 578, 11384, 315, 993, 5174, 86139, 10457, 304, 459, 11134, 311, 279, 8271, 477, 50112, 23125, 430, 13980, 1603, 11, 2391, 477, 1306, 7342, 11, 323, 649, 387, 279, 1121, 315, 1370, 391, 1978, 689, 11, 5361, 91357, 11, 54286, 8271, 11134, 477, 60745, 281, 60384, 13, 4452, 11, 279, 13803, 649, 13592, 33452, 13, 2684, 649, 387, 25181, 86139, 315, 279, 14535, 477, 11977, 320, 15138, 12, 477, 24522, 1978, 689, 705, 832, 50858, 86139, 320, 30132, 575, 1978, 689, 705, 2860, 48694, 53317, 320, 32710, 462, 698, 55901, 705, 323, 5435, 449, 3230, 19567, 320, 589, 295, 10934, 570, 763, 3927, 5157, 1070, 649, 1101, 387, 5435, 449, 10723, 4500, 11, 8982, 323, 21063, 13, 36016, 433, 753, 279, 1732, 753, 4689, 4500, 430, 2011, 387, 41223, 13, 763, 10057, 323, 30221, 11, 2212, 1403, 311, 2380, 304, 1475, 16579, 24869, 9405, 1855, 1060, 2586, 1139, 279, 1917, 449, 420, 955, 315, 28353, 627, 92050, 315, 9029, 449, 356, 486, 42743, 393, 60384, 5380, 644, 220, 6393, 24, 11, 459, 22139, 65362, 5784, 304, 21972, 11, 1243, 2663, 1054, 791, 3165, 5174, 14821, 315, 39008, 11453, 763, 220, 2550, 15, 12, 2550, 16, 11, 14129, 279, 6506, 315, 4497, 783, 9332, 74950, 7568, 9438, 74771, 323, 12514, 813, 2978, 25425, 311, 3318, 449, 420, 12541, 13, 1666, 264, 3995, 9562, 11, 3515, 279, 86525, 11, 50765, 19451, 315, 1054, 6540, 5174, 9520, 420, 9107, 813, 6548, 779, 1790, 323, 10671, 1888, 4885, 449, 1063, 315, 279, 41016, 520, 279, 12541, 627, 644, 220, 679, 16, 11, 578, 3165, 5174, 14821, 5614, 1202, 836, 311, 356, 486, 42743, 393, 60384, 23590, 311, 5357, 6666, 389, 60745, 281, 60384, 11, 323, 2343, 35491, 311, 1057, 30764, 315, 8403, 11, 8689, 11, 5687, 11, 33149, 11, 23872, 11, 3109, 323, 12074, 13, 10771, 311, 279, 19921, 11, 420, 22139, 6773, 279, 3492, 3451, 2203, 5174, 529, 1047, 2288, 1690, 8389, 390, 14632, 323, 5614, 1202, 836, 311, 356, 486, 42743, 393, 60384, 23590, 627, 644, 220, 2550, 17, 11, 14129, 7882, 311, 47335, 11, 304, 220, 2550, 18, 14129, 27212, 813, 1176, 2683, 304, 358, 844, 449, 264, 2883, 889, 753, 13697, 574, 539, 1193, 264, 4562, 315, 279, 12541, 11, 719, 5678, 374, 8552, 13, 16782, 311, 420, 1938, 11, 14129, 323, 813, 3131, 13697, 11, 527, 2103, 4885, 13, 128001, 128000, 37, 23333, 38050, 357, 3980, 6809, 323, 578, 16537, 40907, 51067, 198, 626, 10058, 323, 279, 16537, 15457, 13, 578, 1455, 11495, 13314, 315, 14539, 10058, 374, 315, 1461, 1776, 17718, 264, 26161, 13, 763, 279, 12877, 50093, 279, 26161, 574, 17037, 1511, 311, 4097, 279, 40301, 13, 578, 1776, 17718, 315, 279, 26161, 555, 800, 10058, 574, 1176, 41857, 311, 1461, 304, 279, 4483, 88798, 9478, 11, 1317, 1306, 813, 4648, 13, 1115, 51067, 315, 14539, 10058, 13419, 279, 26161, 43120, 398, 5039, 813, 86166, 323, 279, 86166, 315, 813, 6299, 627, 35353, 477, 2678, 11, 4443, 477, 586, 345, 906, 3207, 6380, 311, 1304, 701, 58395, 2586, 311, 2324, 13, 128001 ]
[ -100, 43346, 18311, 1427, 421, 2058, 374, 2884, 555, 3060, 315, 1403, 5528, 26, 12704, 12092, 477, 34799, 6147, 13, 1102, 374, 3062, 311, 33137, 1990, 279, 1403, 11, 1606, 814, 527, 1633, 2204, 505, 832, 2500, 627, 12, 39285, 12092, 374, 264, 1749, 430, 5829, 264, 20278, 482, 10213, 35872, 66796, 477, 35784, 824, 55189, 482, 311, 8590, 2740, 83451, 279, 4871, 315, 279, 26588, 320, 8370, 374, 2663, 18653, 258, 570, 1115, 690, 1304, 279, 26588, 421, 2058, 1109, 433, 18182, 374, 13, 578, 4642, 25795, 374, 2663, 330, 901, 12092, 8479, 23811, 12, 27484, 6147, 374, 264, 1749, 430, 99097, 21512, 288, 323, 1499, 21168, 279, 16335, 6324, 315, 279, 26588, 320, 19171, 2663, 92848, 8, 779, 430, 279, 26588, 753, 5933, 1933, 374, 28101, 13, 3562, 315, 279, 18653, 258, 374, 35957, 13, 578, 4642, 25795, 374, 2663, 330, 54988, 535, 2449, 23811, 12834, 18311, 34799, 6147, 320, 269, 12704, 12092, 8, 706, 3719, 779, 5526, 304, 3293, 1667, 11, 21308, 53056, 5220, 617, 2586, 709, 449, 264, 8205, 315, 2204, 5528, 13, 4314, 527, 279, 1455, 4279, 6305, 512, 12, 27484, 6147, 26588, 57968, 482, 3296, 77826, 701, 18311, 449, 264, 34799, 6147, 26588, 57968, 11, 279, 94804, 2449, 304, 433, 320, 68, 1326, 13, 77889, 477, 296, 3074, 8, 690, 99097, 4148, 63563, 323, 2624, 795, 811, 505, 279, 92848, 13, 1115, 374, 264, 1633, 4228, 323, 17049, 1749, 11, 719, 1288, 387, 1511, 449, 28930, 13, 32944, 449, 63563, 11, 264, 2678, 961, 315, 279, 92848, 690, 1101, 387, 88937, 3201, 11, 902, 3445, 430, 2288, 21420, 1005, 649, 5674, 279, 26588, 627, 12, 21931, 12704, 12092, 555, 264, 50351, 482, 1115, 374, 2085, 264, 10712, 279, 62844, 323, 1455, 7524, 1648, 311, 636, 421, 2058, 18311, 13, 2030, 433, 753, 1101, 279, 1455, 11646, 11, 555, 3117, 13, 4718, 50351, 690, 1176, 3041, 701, 18311, 459, 26767, 311, 1304, 2771, 12704, 12092, 649, 387, 2884, 304, 264, 6220, 1648, 13, 578, 50351, 1243, 12704, 14576, 279, 18311, 1701, 264, 3361, 18316, 11, 7170, 49858, 449, 279, 1520, 315, 3177, 320, 13953, 477, 15104, 11968, 4390, 12, 27484, 6147, 31022, 482, 1115, 520, 25389, 1749, 5829, 31022, 449, 459, 16335, 6324, 315, 12704, 12092, 18316, 11, 14614, 279, 1890, 3460, 315, 824, 55189, 430, 18653, 1705, 1005, 320, 8248, 304, 4827, 20545, 570, 3861, 13619, 374, 9435, 311, 279, 8582, 18311, 11, 323, 2500, 13619, 374, 9277, 389, 279, 4827, 18311, 13, 13969, 279, 31022, 389, 369, 439, 1317, 439, 279, 14290, 40912, 13, 18591, 527, 6118, 37154, 627, 12, 27484, 6147, 16530, 482, 10541, 433, 706, 279, 3492, 19524, 1336, 275, 6147, 863, 304, 279, 836, 11, 420, 1749, 3604, 5829, 279, 1890, 12704, 12092, 18316, 439, 701, 50351, 1053, 1005, 13, 578, 18316, 374, 9277, 304, 264, 3361, 35788, 11, 323, 1243, 499, 2231, 701, 18311, 304, 279, 18316, 369, 264, 5300, 3392, 315, 892, 13, 578, 550, 292, 1291, 32596, 690, 2586, 449, 92825, 430, 527, 2587, 29441, 11951, 369, 499, 11, 902, 315, 3388, 690, 7417, 279, 3135, 13, 4497, 11646, 1109, 279, 31022, 323, 26588, 79, 28006, 11, 719, 23917, 1109, 264, 6721, 12704, 12092, 13, 1666, 1317, 439, 499, 527, 16994, 311, 539, 5387, 701, 18311, 304, 279, 18316, 369, 2288, 1317, 11, 420, 1436, 387, 264, 1633, 1695, 5873, 422, 499, 1390, 311, 636, 421, 2058, 18311, 627, 3947, 527, 1023, 5528, 439, 1664, 11, 719, 7000, 430, 527, 439, 1695, 279, 3116, 27548, 7633, 3485, 13, 1442, 499, 527, 44003, 1148, 311, 656, 11, 3137, 311, 701, 50351, 311, 636, 279, 9647, 315, 264, 6721, 13, 4702, 387, 8010, 430, 701, 50351, 1436, 387, 48761, 4245, 311, 60618, 8125, 13, 128001, -100, 644, 3432, 753, 8396, 11, 1690, 1274, 1005, 279, 4751, 1054, 6540, 5174, 863, 2085, 2216, 8830, 279, 837, 7438, 11, 304, 2144, 11, 304, 264, 4689, 5647, 11, 1274, 3629, 11, 4415, 3210, 8464, 311, 5694, 477, 3885, 889, 1304, 30571, 477, 1054, 12158, 3919, 863, 54245, 477, 296, 23568, 872, 4339, 439, 1054, 6540, 5174, 113068, 3957, 433, 15538, 5380, 11649, 11, 656, 499, 1093, 1694, 2663, 459, 1054, 769, 11345, 863, 477, 1054, 1687, 2668, 78, 863, 477, 1054, 35, 334, 74, 2025, 74022, 1243, 3249, 1053, 4423, 1093, 1694, 14183, 311, 439, 264, 1054, 6540, 5174, 863, 5423, 2728, 430, 1633, 2478, 3604, 3619, 1148, 279, 3492, 3445, 477, 1405, 433, 4131, 505, 13, 6914, 753, 4048, 922, 433, 1457, 4999, 6540, 5174, 488, 374, 279, 837, 836, 369, 264, 3044, 304, 902, 3738, 24569, 527, 31978, 51068, 13, 1115, 71895, 11384, 70334, 477, 10508, 2136, 315, 279, 24569, 323, 649, 40978, 449, 4725, 7351, 11, 8982, 323, 342, 1339, 13, 3165, 5174, 488, 374, 6118, 9057, 555, 5674, 311, 279, 13651, 315, 279, 8271, 477, 50112, 23125, 430, 11835, 37079, 7351, 627, 791, 5674, 11384, 264, 2349, 304, 279, 8335, 315, 17738, 1990, 279, 23418, 1887, 323, 279, 24569, 13, 1115, 68331, 11767, 311, 7319, 5820, 304, 279, 24569, 13, 3165, 5174, 488, 48291, 22223, 24569, 323, 35358, 315, 279, 6000, 1385, 323, 374, 8104, 28856, 311, 7982, 2911, 627, 4438, 1587, 993, 5174, 488, 3621, 5380, 3947, 527, 1690, 2204, 13124, 315, 993, 5174, 488, 13, 578, 11384, 315, 993, 5174, 86139, 10457, 304, 459, 11134, 311, 279, 8271, 477, 50112, 23125, 430, 13980, 1603, 11, 2391, 477, 1306, 7342, 11, 323, 649, 387, 279, 1121, 315, 1370, 391, 1978, 689, 11, 5361, 91357, 11, 54286, 8271, 11134, 477, 60745, 281, 60384, 13, 4452, 11, 279, 13803, 649, 13592, 33452, 13, 2684, 649, 387, 25181, 86139, 315, 279, 14535, 477, 11977, 320, 15138, 12, 477, 24522, 1978, 689, 705, 832, 50858, 86139, 320, 30132, 575, 1978, 689, 705, 2860, 48694, 53317, 320, 32710, 462, 698, 55901, 705, 323, 5435, 449, 3230, 19567, 320, 589, 295, 10934, 570, 763, 3927, 5157, 1070, 649, 1101, 387, 5435, 449, 10723, 4500, 11, 8982, 323, 21063, 13, 36016, 433, 753, 279, 1732, 753, 4689, 4500, 430, 2011, 387, 41223, 13, 763, 10057, 323, 30221, 11, 2212, 1403, 311, 2380, 304, 1475, 16579, 24869, 9405, 1855, 1060, 2586, 1139, 279, 1917, 449, 420, 955, 315, 28353, 627, 92050, 315, 9029, 449, 356, 486, 42743, 393, 60384, 5380, 644, 220, 6393, 24, 11, 459, 22139, 65362, 5784, 304, 21972, 11, 1243, 2663, 1054, 791, 3165, 5174, 14821, 315, 39008, 11453, 763, 220, 2550, 15, 12, 2550, 16, 11, 14129, 279, 6506, 315, 4497, 783, 9332, 74950, 7568, 9438, 74771, 323, 12514, 813, 2978, 25425, 311, 3318, 449, 420, 12541, 13, 1666, 264, 3995, 9562, 11, 3515, 279, 86525, 11, 50765, 19451, 315, 1054, 6540, 5174, 9520, 420, 9107, 813, 6548, 779, 1790, 323, 10671, 1888, 4885, 449, 1063, 315, 279, 41016, 520, 279, 12541, 627, 644, 220, 679, 16, 11, 578, 3165, 5174, 14821, 5614, 1202, 836, 311, 356, 486, 42743, 393, 60384, 23590, 311, 5357, 6666, 389, 60745, 281, 60384, 11, 323, 2343, 35491, 311, 1057, 30764, 315, 8403, 11, 8689, 11, 5687, 11, 33149, 11, 23872, 11, 3109, 323, 12074, 13, 10771, 311, 279, 19921, 11, 420, 22139, 6773, 279, 3492, 3451, 2203, 5174, 529, 1047, 2288, 1690, 8389, 390, 14632, 323, 5614, 1202, 836, 311, 356, 486, 42743, 393, 60384, 23590, 627, 644, 220, 2550, 17, 11, 14129, 7882, 311, 47335, 11, 304, 220, 2550, 18, 14129, 27212, 813, 1176, 2683, 304, 358, 844, 449, 264, 2883, 889, 753, 13697, 574, 539, 1193, 264, 4562, 315, 279, 12541, 11, 719, 5678, 374, 8552, 13, 16782, 311, 420, 1938, 11, 14129, 323, 813, 3131, 13697, 11, 527, 2103, 4885, 13, 128001, -100, 37, 23333, 38050, 357, 3980, 6809, 323, 578, 16537, 40907, 51067, 198, 626, 10058, 323, 279, 16537, 15457, 13, 578, 1455, 11495, 13314, 315, 14539, 10058, 374, 315, 1461, 1776, 17718, 264, 26161, 13, 763, 279, 12877, 50093, 279, 26161, 574, 17037, 1511, 311, 4097, 279, 40301, 13, 578, 1776, 17718, 315, 279, 26161, 555, 800, 10058, 574, 1176, 41857, 311, 1461, 304, 279, 4483, 88798, 9478, 11, 1317, 1306, 813, 4648, 13, 1115, 51067, 315, 14539, 10058, 13419, 279, 26161, 43120, 398, 5039, 813, 86166, 323, 279, 86166, 315, 813, 6299, 627, 35353, 477, 2678, 11, 4443, 477, 586, 345, 906, 3207, 6380, 311, 1304, 701, 58395, 2586, 311, 2324, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113 ]
[ 128000, 2746, 358, 1541, 956, 617, 279, 1404, 315, 19692, 25826, 5300, 304, 856, 11363, 11, 690, 279, 1404, 358, 656, 617, 387, 10619, 5380, 3957, 433, 23917, 311, 4394, 264, 15496, 505, 19307, 477, 311, 3780, 264, 5644, 15496, 30, 3639, 6811, 1587, 279, 1396, 315, 1274, 499, 2351, 17677, 369, 1304, 5380, 52361, 279, 6012, 315, 374, 24264, 38940, 627, 6854, 499, 26610, 40099, 311, 1501, 1268, 279, 2673, 315, 3090, 4442, 304, 198, 64750, 24794, 439, 814, 527, 10409, 5380, 849, 20588, 1521, 17989, 13, 3234, 814, 5222, 922, 1314, 5380, 3957, 433, 2216, 2886, 804, 311, 733, 389, 279, 5951, 11, 477, 311, 3780, 2254, 5380, 3923, 6211, 1053, 5052, 701, 23423, 323, 97438, 1888, 30, 2650, 649, 499, 1304, 433, 5380, 4438, 1053, 499, 733, 922, 77472, 22673, 315, 83506, 5380, 8238, 701, 1866, 9160, 31520, 6382, 369, 6220, 22695, 315, 279, 7160, 11, 323, 1505, 704, 1268, 433, 4375, 627, 6854, 499, 990, 704, 1148, 420, 10537, 374, 3815, 5380, 13191, 20622, 52536, 387, 1511, 311, 1518, 422, 459, 65415, 374, 19857, 30, 2582, 374, 420, 1120, 8198, 17422, 5380, 11787, 1521, 17989, 315, 7106, 33776, 13687, 5380, 74407, 325, 1521, 6366, 24156, 5448, 323, 4879, 311, 7222, 1124, 304, 1404, 2015, 627, 6854, 499, 990, 704, 902, 7172, 706, 279, 16643, 47697, 5380, 11874, 28788, 743, 1022, 520, 279, 1890, 892, 505, 1855, 842, 315, 264, 3254, 198, 89292, 40106, 1584, 13, 362, 1633, 5043, 38328, 8638, 1022, 304, 4156, 315, 279, 198, 3983, 5542, 323, 38204, 31978, 1203, 323, 13544, 1990, 279, 13, 662, 662, 16853, 6919, 449, 5219, 2466, 323, 2678, 311, 16430, 323, 11294, 5370, 33776, 304, 24156, 38697, 627, 9241, 1288, 39380, 1212, 279, 220, 1049, 76, 7102, 779, 430, 814, 617, 682, 1629, 279, 1890, 6138, 555, 279, 6381, 5380, 4599, 264, 39646, 4442, 11, 1148, 8741, 311, 279, 3691, 8957, 5380, 6919, 449, 5219, 2466, 323, 2678, 311, 16430, 323, 1652, 6468, 5370, 33776, 304, 24156, 38697, 627, 1271, 19874, 279, 5133, 1990, 279, 6138, 279, 49080, 21701, 323, 279, 892, 4529, 11, 584, 1205, 311, 656, 1063, 37072, 61966, 9522, 6854, 499, 7836, 10743, 902, 25944, 74175, 4455, 527, 15609, 555, 279, 40099, 5380, 8607, 7106, 18508, 527, 1193, 3967, 311, 264, 3738, 13708, 13, 45152, 279, 35876, 1493, 14597, 304, 279, 3148, 315, 3090, 323, 1202, 51720, 627, 23956, 19371, 4065, 649, 499, 1304, 1701, 1193, 220, 605, 1029, 24547, 47003, 5380, 52361, 279, 6012, 315, 13356, 13633, 627, 1876, 6468, 323, 19874, 264, 4382, 37072, 1646, 369, 279, 2955, 315, 264, 2007, 5634, 627, 644, 902, 25944, 1567, 1587, 264, 3823, 5944, 26731, 30, 99981, 902, 4455, 311, 2997, 304, 701, 42209, 13896, 6017, 627, 1991, 1063, 6725, 1701, 2466, 323, 2678, 5219, 304, 30903, 627, 8238, 459, 13687, 13861, 315, 279, 13238, 1887, 323, 13488, 279, 7434, 315, 264, 6800, 32546, 627, 10464, 54033, 263, 7133, 311, 8417, 3508, 13238, 93534, 288, 389, 9578, 649, 387, 4832, 627, 23956, 8316, 1053, 499, 5268, 1888, 311, 5052, 1521, 15082, 5380, 6919, 449, 5219, 2466, 323, 2678, 311, 16430, 323, 11294, 5370, 33776, 304, 7106, 38697, 627, 644, 688, 264, 20413, 1887, 369, 264, 364, 52851, 279, 4785, 6, 10937, 627, 10464, 701, 10151, 323, 6677, 311, 2035, 5370, 12624, 29416, 304, 2015, 315, 1404, 13, 3053, 499, 11913, 279, 3160, 315, 6302, 449, 12562, 24950, 505, 220, 16, 7568, 35155, 311, 220, 16, 3610, 13437, 449, 912, 5076, 13865, 5380, 791, 2463, 78017, 374, 264, 22655, 1099, 84, 6427, 8815, 13, 3053, 499, 990, 704, 902, 34880, 50440, 279, 1455, 25247, 5380, 89592, 701, 7512, 315, 19179, 323, 42304, 1701, 420, 21416, 19179, 5507, 3196, 2212, 27387, 5448, 505, 34458, 627, 4599, 499, 2349, 279, 8316, 11, 656, 279, 5219, 636, 11493, 477, 9333, 5380, 4438, 1790, 4907, 706, 8208, 1139, 24808, 279, 11841, 5380, 52361, 279, 5133, 1990, 13957, 323, 9499, 198, 9673, 25944, 33776, 617, 1027, 503, 26902, 709, 0, 3053, 499, 2231, 1124, 1203, 3871, 1578, 5380, 6919, 704, 279, 35876, 2819, 369, 1521, 7106, 33776, 627, 14101, 3509, 1521, 22999, 33776, 40044, 30357, 430, 499, 649, 7222, 1124, 304, 2015, 315, 1404, 198, 2028, 3575, 41424, 279, 34458, 4920, 48538, 44070, 596, 49592, 2579, 19689, 627, 4438, 1053, 499, 2955, 279, 27087, 287, 315, 16712, 304, 264, 24833, 779, 430, 682, 70402, 617, 264, 1695, 1684, 5380, 52157, 2204, 27367, 31080, 1694, 10409, 13, 3053, 499, 990, 704, 198, 12840, 279, 40099, 315, 279, 3090, 2237, 1288, 1427, 1093, 5380, 3923, 21483, 1288, 4072, 398, 4018, 704, 311, 1304, 264, 37482, 596, 9072, 30, 2650, 649, 1364, 1304, 264, 51009, 9072, 5380, 6854, 499, 4284, 264, 16029, 311, 5052, 1063, 22772, 828, 30, 3053, 499, 990, 704, 1405, 279, 828, 2643, 617, 2586, 505, 5380, 6854, 499, 4128, 279, 2673, 7394, 9676, 439, 420, 17395, 27274, 41687, 198, 32, 3575, 922, 56104, 323, 279, 18874, 315, 8624, 627, 73741, 82486, 527, 39920, 1139, 264, 387, 4506, 315, 3090, 13, 2650, 1587, 279, 198, 13284, 2237, 10205, 304, 1855, 1162, 5380, 12389, 499, 3596, 31156, 1148, 433, 1053, 387, 1093, 311, 7102, 2403, 4073, 467, 47047, 30, 128001, 128000, 8248, 832, 3245, 358, 4070, 9687, 374, 430, 499, 1541, 1431, 617, 311, 3619, 2574, 369, 1124, 311, 387, 627, 2028, 374, 264, 1912, 369, 3697, 315, 6193, 3914, 23338, 11, 279, 4033, 15128, 4470, 16576, 8571, 6469, 627, 57856, 706, 1373, 220, 1313, 315, 220, 1135, 6603, 627, 57856, 1373, 220, 7743, 6603, 315, 1077, 5915, 315, 220, 1041, 4999, 57856, 1373, 220, 4643, 6603, 315, 1077, 5915, 315, 220, 16, 4999, 57856, 1373, 220, 4044, 6603, 315, 1077, 5915, 315, 220, 1490, 4999, 128001, 128000, 40, 1097, 264, 12152, 22618, 323, 617, 594, 4591, 304, 279, 34815, 369, 4661, 220, 17, 1667, 13, 3092, 26536, 574, 65139, 994, 358, 10862, 7427, 13, 358, 1053, 1093, 311, 471, 311, 7008, 323, 312, 3810, 279, 29292, 5415, 13, 1442, 602, 1051, 311, 471, 311, 32863, 323, 5675, 856, 26536, 323, 2751, 264, 502, 832, 13, 19418, 279, 603, 3973, 1440, 358, 617, 594, 4591, 304, 279, 34815, 369, 220, 17, 1667, 323, 617, 312, 10862, 30, 4800, 430, 856, 26536, 374, 502, 323, 706, 912, 21899, 505, 2326, 35869, 5380, 40, 1053, 539, 1935, 420, 5326, 13, 5629, 11, 499, 617, 912, 15803, 5423, 1306, 220, 24, 14, 806, 11, 279, 4868, 11193, 304, 2035, 527, 1790, 810, 6367, 323, 11297, 1109, 1603, 13, 10657, 11, 499, 1053, 617, 311, 10457, 922, 701, 892, 304, 279, 549, 815, 13, 2100, 420, 374, 539, 264, 5326, 430, 358, 1053, 1935, 1606, 422, 433, 14865, 11, 499, 1053, 539, 387, 3025, 311, 2586, 1203, 369, 220, 605, 1667, 627, 7009, 656, 4430, 2038, 11, 10035, 13, 14077, 11, 1070, 374, 912, 15803, 323, 422, 499, 10457, 922, 4205, 994, 4691, 85207, 477, 389, 9904, 11, 420, 690, 4546, 5217, 5435, 627, 9493, 814, 3810, 701, 26536, 1139, 279, 6500, 994, 16661, 279, 34815, 11, 656, 814, 1440, 994, 279, 1566, 892, 9514, 1051, 304, 279, 29292, 5415, 323, 1268, 1317, 499, 20186, 9651, 5380, 40, 4250, 4320, 430, 369, 499, 13, 1472, 656, 539, 2873, 311, 3619, 13, 1472, 527, 10371, 757, 311, 3041, 499, 279, 10619, 311, 10457, 323, 358, 1097, 539, 2133, 311, 656, 430, 13, 55106, 11, 814, 1541, 956, 617, 311, 617, 11311, 315, 994, 499, 2163, 13, 15334, 617, 279, 23104, 477, 39858, 994, 499, 2163, 627, 644, 279, 842, 11, 1070, 374, 912, 15803, 323, 5606, 430, 10975, 499, 6062, 374, 21078, 311, 499, 477, 814, 1541, 956, 1440, 1148, 814, 527, 7556, 922, 13, 358, 1097, 9615, 14931, 13, 578, 2383, 5415, 430, 439, 264, 12152, 11, 499, 617, 264, 7340, 315, 220, 21, 4038, 311, 4822, 304, 279, 549, 815, 13, 1472, 617, 83509, 43995, 810, 1109, 220, 16, 1060, 13, 1666, 264, 1121, 11, 422, 499, 5387, 11, 499, 1053, 539, 387, 3025, 311, 2586, 1203, 369, 220, 605, 1667, 13, 1472, 386, 4735, 636, 18069, 323, 814, 1253, 539, 1440, 477, 539, 1505, 704, 11, 719, 358, 16102, 1053, 539, 1935, 420, 5326, 627, 40, 1097, 539, 10371, 422, 358, 1288, 10457, 13, 2417, 14931, 369, 856, 61327, 13, 2417, 10371, 422, 358, 33484, 5675, 856, 26536, 304, 32863, 323, 312, 10862, 279, 29292, 5415, 422, 814, 1053, 617, 11311, 315, 994, 358, 2163, 5380, 3112, 358, 1097, 11890, 499, 1070, 374, 912, 1648, 311, 1440, 1148, 11311, 814, 617, 323, 1148, 11311, 814, 1541, 956, 617, 13, 2684, 374, 912, 15803, 13, 1628, 555, 4560, 311, 2586, 1203, 11, 499, 1053, 16168, 387, 21078, 311, 279, 549, 815, 13, 3109, 304, 2015, 311, 387, 3025, 311, 2586, 1203, 13, 14727, 6852, 430, 499, 617, 539, 34521, 904, 549, 815, 13, 15443, 7016, 994, 499, 617, 13118, 34521, 279, 7016, 374, 37622, 6173, 311, 21078, 323, 8617, 16515, 627, 2170, 358, 1071, 11, 358, 1053, 539, 1935, 420, 5326, 627, 29089, 78849, 387, 264, 2731, 3072, 1109, 420, 832, 358, 1097, 13126, 30, 1628, 374, 420, 264, 1317, 1920, 5380, 9642, 11, 439, 1317, 439, 433, 374, 264, 1972, 11103, 13, 3011, 1920, 690, 1935, 220, 20, 311, 220, 22, 4038, 311, 636, 264, 6307, 3786, 627, 128001 ]
[ -100, 2746, 358, 1541, 956, 617, 279, 1404, 315, 19692, 25826, 5300, 304, 856, 11363, 11, 690, 279, 1404, 358, 656, 617, 387, 10619, 5380, 3957, 433, 23917, 311, 4394, 264, 15496, 505, 19307, 477, 311, 3780, 264, 5644, 15496, 30, 3639, 6811, 1587, 279, 1396, 315, 1274, 499, 2351, 17677, 369, 1304, 5380, 52361, 279, 6012, 315, 374, 24264, 38940, 627, 6854, 499, 26610, 40099, 311, 1501, 1268, 279, 2673, 315, 3090, 4442, 304, 198, 64750, 24794, 439, 814, 527, 10409, 5380, 849, 20588, 1521, 17989, 13, 3234, 814, 5222, 922, 1314, 5380, 3957, 433, 2216, 2886, 804, 311, 733, 389, 279, 5951, 11, 477, 311, 3780, 2254, 5380, 3923, 6211, 1053, 5052, 701, 23423, 323, 97438, 1888, 30, 2650, 649, 499, 1304, 433, 5380, 4438, 1053, 499, 733, 922, 77472, 22673, 315, 83506, 5380, 8238, 701, 1866, 9160, 31520, 6382, 369, 6220, 22695, 315, 279, 7160, 11, 323, 1505, 704, 1268, 433, 4375, 627, 6854, 499, 990, 704, 1148, 420, 10537, 374, 3815, 5380, 13191, 20622, 52536, 387, 1511, 311, 1518, 422, 459, 65415, 374, 19857, 30, 2582, 374, 420, 1120, 8198, 17422, 5380, 11787, 1521, 17989, 315, 7106, 33776, 13687, 5380, 74407, 325, 1521, 6366, 24156, 5448, 323, 4879, 311, 7222, 1124, 304, 1404, 2015, 627, 6854, 499, 990, 704, 902, 7172, 706, 279, 16643, 47697, 5380, 11874, 28788, 743, 1022, 520, 279, 1890, 892, 505, 1855, 842, 315, 264, 3254, 198, 89292, 40106, 1584, 13, 362, 1633, 5043, 38328, 8638, 1022, 304, 4156, 315, 279, 198, 3983, 5542, 323, 38204, 31978, 1203, 323, 13544, 1990, 279, 13, 662, 662, 16853, 6919, 449, 5219, 2466, 323, 2678, 311, 16430, 323, 11294, 5370, 33776, 304, 24156, 38697, 627, 9241, 1288, 39380, 1212, 279, 220, 1049, 76, 7102, 779, 430, 814, 617, 682, 1629, 279, 1890, 6138, 555, 279, 6381, 5380, 4599, 264, 39646, 4442, 11, 1148, 8741, 311, 279, 3691, 8957, 5380, 6919, 449, 5219, 2466, 323, 2678, 311, 16430, 323, 1652, 6468, 5370, 33776, 304, 24156, 38697, 627, 1271, 19874, 279, 5133, 1990, 279, 6138, 279, 49080, 21701, 323, 279, 892, 4529, 11, 584, 1205, 311, 656, 1063, 37072, 61966, 9522, 6854, 499, 7836, 10743, 902, 25944, 74175, 4455, 527, 15609, 555, 279, 40099, 5380, 8607, 7106, 18508, 527, 1193, 3967, 311, 264, 3738, 13708, 13, 45152, 279, 35876, 1493, 14597, 304, 279, 3148, 315, 3090, 323, 1202, 51720, 627, 23956, 19371, 4065, 649, 499, 1304, 1701, 1193, 220, 605, 1029, 24547, 47003, 5380, 52361, 279, 6012, 315, 13356, 13633, 627, 1876, 6468, 323, 19874, 264, 4382, 37072, 1646, 369, 279, 2955, 315, 264, 2007, 5634, 627, 644, 902, 25944, 1567, 1587, 264, 3823, 5944, 26731, 30, 99981, 902, 4455, 311, 2997, 304, 701, 42209, 13896, 6017, 627, 1991, 1063, 6725, 1701, 2466, 323, 2678, 5219, 304, 30903, 627, 8238, 459, 13687, 13861, 315, 279, 13238, 1887, 323, 13488, 279, 7434, 315, 264, 6800, 32546, 627, 10464, 54033, 263, 7133, 311, 8417, 3508, 13238, 93534, 288, 389, 9578, 649, 387, 4832, 627, 23956, 8316, 1053, 499, 5268, 1888, 311, 5052, 1521, 15082, 5380, 6919, 449, 5219, 2466, 323, 2678, 311, 16430, 323, 11294, 5370, 33776, 304, 7106, 38697, 627, 644, 688, 264, 20413, 1887, 369, 264, 364, 52851, 279, 4785, 6, 10937, 627, 10464, 701, 10151, 323, 6677, 311, 2035, 5370, 12624, 29416, 304, 2015, 315, 1404, 13, 3053, 499, 11913, 279, 3160, 315, 6302, 449, 12562, 24950, 505, 220, 16, 7568, 35155, 311, 220, 16, 3610, 13437, 449, 912, 5076, 13865, 5380, 791, 2463, 78017, 374, 264, 22655, 1099, 84, 6427, 8815, 13, 3053, 499, 990, 704, 902, 34880, 50440, 279, 1455, 25247, 5380, 89592, 701, 7512, 315, 19179, 323, 42304, 1701, 420, 21416, 19179, 5507, 3196, 2212, 27387, 5448, 505, 34458, 627, 4599, 499, 2349, 279, 8316, 11, 656, 279, 5219, 636, 11493, 477, 9333, 5380, 4438, 1790, 4907, 706, 8208, 1139, 24808, 279, 11841, 5380, 52361, 279, 5133, 1990, 13957, 323, 9499, 198, 9673, 25944, 33776, 617, 1027, 503, 26902, 709, 0, 3053, 499, 2231, 1124, 1203, 3871, 1578, 5380, 6919, 704, 279, 35876, 2819, 369, 1521, 7106, 33776, 627, 14101, 3509, 1521, 22999, 33776, 40044, 30357, 430, 499, 649, 7222, 1124, 304, 2015, 315, 1404, 198, 2028, 3575, 41424, 279, 34458, 4920, 48538, 44070, 596, 49592, 2579, 19689, 627, 4438, 1053, 499, 2955, 279, 27087, 287, 315, 16712, 304, 264, 24833, 779, 430, 682, 70402, 617, 264, 1695, 1684, 5380, 52157, 2204, 27367, 31080, 1694, 10409, 13, 3053, 499, 990, 704, 198, 12840, 279, 40099, 315, 279, 3090, 2237, 1288, 1427, 1093, 5380, 3923, 21483, 1288, 4072, 398, 4018, 704, 311, 1304, 264, 37482, 596, 9072, 30, 2650, 649, 1364, 1304, 264, 51009, 9072, 5380, 6854, 499, 4284, 264, 16029, 311, 5052, 1063, 22772, 828, 30, 3053, 499, 990, 704, 1405, 279, 828, 2643, 617, 2586, 505, 5380, 6854, 499, 4128, 279, 2673, 7394, 9676, 439, 420, 17395, 27274, 41687, 198, 32, 3575, 922, 56104, 323, 279, 18874, 315, 8624, 627, 73741, 82486, 527, 39920, 1139, 264, 387, 4506, 315, 3090, 13, 2650, 1587, 279, 198, 13284, 2237, 10205, 304, 1855, 1162, 5380, 12389, 499, 3596, 31156, 1148, 433, 1053, 387, 1093, 311, 7102, 2403, 4073, 467, 47047, 30, 128001, -100, 8248, 832, 3245, 358, 4070, 9687, 374, 430, 499, 1541, 1431, 617, 311, 3619, 2574, 369, 1124, 311, 387, 627, 2028, 374, 264, 1912, 369, 3697, 315, 6193, 3914, 23338, 11, 279, 4033, 15128, 4470, 16576, 8571, 6469, 627, 57856, 706, 1373, 220, 1313, 315, 220, 1135, 6603, 627, 57856, 1373, 220, 7743, 6603, 315, 1077, 5915, 315, 220, 1041, 4999, 57856, 1373, 220, 4643, 6603, 315, 1077, 5915, 315, 220, 16, 4999, 57856, 1373, 220, 4044, 6603, 315, 1077, 5915, 315, 220, 1490, 4999, 128001, -100, 40, 1097, 264, 12152, 22618, 323, 617, 594, 4591, 304, 279, 34815, 369, 4661, 220, 17, 1667, 13, 3092, 26536, 574, 65139, 994, 358, 10862, 7427, 13, 358, 1053, 1093, 311, 471, 311, 7008, 323, 312, 3810, 279, 29292, 5415, 13, 1442, 602, 1051, 311, 471, 311, 32863, 323, 5675, 856, 26536, 323, 2751, 264, 502, 832, 13, 19418, 279, 603, 3973, 1440, 358, 617, 594, 4591, 304, 279, 34815, 369, 220, 17, 1667, 323, 617, 312, 10862, 30, 4800, 430, 856, 26536, 374, 502, 323, 706, 912, 21899, 505, 2326, 35869, 5380, 40, 1053, 539, 1935, 420, 5326, 13, 5629, 11, 499, 617, 912, 15803, 5423, 1306, 220, 24, 14, 806, 11, 279, 4868, 11193, 304, 2035, 527, 1790, 810, 6367, 323, 11297, 1109, 1603, 13, 10657, 11, 499, 1053, 617, 311, 10457, 922, 701, 892, 304, 279, 549, 815, 13, 2100, 420, 374, 539, 264, 5326, 430, 358, 1053, 1935, 1606, 422, 433, 14865, 11, 499, 1053, 539, 387, 3025, 311, 2586, 1203, 369, 220, 605, 1667, 627, 7009, 656, 4430, 2038, 11, 10035, 13, 14077, 11, 1070, 374, 912, 15803, 323, 422, 499, 10457, 922, 4205, 994, 4691, 85207, 477, 389, 9904, 11, 420, 690, 4546, 5217, 5435, 627, 9493, 814, 3810, 701, 26536, 1139, 279, 6500, 994, 16661, 279, 34815, 11, 656, 814, 1440, 994, 279, 1566, 892, 9514, 1051, 304, 279, 29292, 5415, 323, 1268, 1317, 499, 20186, 9651, 5380, 40, 4250, 4320, 430, 369, 499, 13, 1472, 656, 539, 2873, 311, 3619, 13, 1472, 527, 10371, 757, 311, 3041, 499, 279, 10619, 311, 10457, 323, 358, 1097, 539, 2133, 311, 656, 430, 13, 55106, 11, 814, 1541, 956, 617, 311, 617, 11311, 315, 994, 499, 2163, 13, 15334, 617, 279, 23104, 477, 39858, 994, 499, 2163, 627, 644, 279, 842, 11, 1070, 374, 912, 15803, 323, 5606, 430, 10975, 499, 6062, 374, 21078, 311, 499, 477, 814, 1541, 956, 1440, 1148, 814, 527, 7556, 922, 13, 358, 1097, 9615, 14931, 13, 578, 2383, 5415, 430, 439, 264, 12152, 11, 499, 617, 264, 7340, 315, 220, 21, 4038, 311, 4822, 304, 279, 549, 815, 13, 1472, 617, 83509, 43995, 810, 1109, 220, 16, 1060, 13, 1666, 264, 1121, 11, 422, 499, 5387, 11, 499, 1053, 539, 387, 3025, 311, 2586, 1203, 369, 220, 605, 1667, 13, 1472, 386, 4735, 636, 18069, 323, 814, 1253, 539, 1440, 477, 539, 1505, 704, 11, 719, 358, 16102, 1053, 539, 1935, 420, 5326, 627, 40, 1097, 539, 10371, 422, 358, 1288, 10457, 13, 2417, 14931, 369, 856, 61327, 13, 2417, 10371, 422, 358, 33484, 5675, 856, 26536, 304, 32863, 323, 312, 10862, 279, 29292, 5415, 422, 814, 1053, 617, 11311, 315, 994, 358, 2163, 5380, 3112, 358, 1097, 11890, 499, 1070, 374, 912, 1648, 311, 1440, 1148, 11311, 814, 617, 323, 1148, 11311, 814, 1541, 956, 617, 13, 2684, 374, 912, 15803, 13, 1628, 555, 4560, 311, 2586, 1203, 11, 499, 1053, 16168, 387, 21078, 311, 279, 549, 815, 13, 3109, 304, 2015, 311, 387, 3025, 311, 2586, 1203, 13, 14727, 6852, 430, 499, 617, 539, 34521, 904, 549, 815, 13, 15443, 7016, 994, 499, 617, 13118, 34521, 279, 7016, 374, 37622, 6173, 311, 21078, 323, 8617, 16515, 627, 2170, 358, 1071, 11, 358, 1053, 539, 1935, 420, 5326, 627, 29089, 78849, 387, 264, 2731, 3072, 1109, 420, 832, 358, 1097, 13126, 30, 1628, 374, 420, 264, 1317, 1920, 5380, 9642, 11, 439, 1317, 439, 433, 374, 264, 1972, 11103, 13, 3011, 1920, 690, 1935, 220, 20, 311, 220, 22, 4038, 311, 636, 264, 6307, 3786, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 97283, 21115, 34937, 706, 7378, 264, 15664, 449, 10034, 26243, 5557, 19353, 2326, 7280, 28936, 11, 264, 41164, 315, 469, 61492, 4140, 12053, 627, 2078, 7280, 28936, 690, 3493, 11380, 6373, 3600, 323, 3938, 11040, 10105, 311, 279, 5793, 11, 3917, 311, 67336, 554, 555, 279, 1561, 16228, 14829, 315, 31562, 44056, 627, 10944, 527, 12304, 311, 8427, 449, 2326, 7280, 28936, 311, 6864, 1082, 389, 872, 19248, 11, 10209, 264, 1888, 3502, 15144, 3217, 1359, 1071, 22302, 21115, 34937, 41653, 10388, 11145, 8766, 7290, 22826, 627, 2078, 7280, 28936, 4872, 44847, 8375, 25980, 29786, 25, 330, 2078, 7280, 28936, 5992, 4741, 311, 5655, 6147, 1202, 5133, 449, 22302, 927, 279, 1828, 3892, 1667, 13, 578, 10824, 315, 22302, 596, 6677, 315, 279, 23179, 4409, 4311, 6, 3157, 323, 1057, 22498, 220, 6549, 10, 1667, 315, 10034, 56443, 287, 3217, 1304, 369, 264, 54829, 11363, 369, 2450, 627, 36, 61492, 4140, 12053, 11145, 21892, 74406, 32744, 402, 76031, 3779, 25, 330, 1687, 527, 35072, 311, 8427, 449, 22302, 311, 3085, 264, 7701, 30311, 323, 15022, 10034, 56443, 287, 2027, 627, 15085, 527, 1120, 6041, 1057, 3728, 14800, 3197, 323, 7373, 1755, 311, 1518, 11295, 25375, 315, 1057, 11084, 469, 61492, 4140, 2541, 26243, 5557, 304, 279, 3723, 4273, 323, 7008, 304, 279, 5108, 4038, 10246, 74115, 304, 469, 61492, 4140, 12053, 22621, 13, 320, 2507, 48, 25, 2818, 9579, 8, 8036, 220, 15, 13, 1691, 824, 2960, 5190, 520, 400, 19, 13, 6028, 824, 4430, 304, 1561, 4356, 6740, 627, 128001 ]
[ -100, 97283, 21115, 34937, 706, 7378, 264, 15664, 449, 10034, 26243, 5557, 19353, 2326, 7280, 28936, 11, 264, 41164, 315, 469, 61492, 4140, 12053, 627, 2078, 7280, 28936, 690, 3493, 11380, 6373, 3600, 323, 3938, 11040, 10105, 311, 279, 5793, 11, 3917, 311, 67336, 554, 555, 279, 1561, 16228, 14829, 315, 31562, 44056, 627, 10944, 527, 12304, 311, 8427, 449, 2326, 7280, 28936, 311, 6864, 1082, 389, 872, 19248, 11, 10209, 264, 1888, 3502, 15144, 3217, 1359, 1071, 22302, 21115, 34937, 41653, 10388, 11145, 8766, 7290, 22826, 627, 2078, 7280, 28936, 4872, 44847, 8375, 25980, 29786, 25, 330, 2078, 7280, 28936, 5992, 4741, 311, 5655, 6147, 1202, 5133, 449, 22302, 927, 279, 1828, 3892, 1667, 13, 578, 10824, 315, 22302, 596, 6677, 315, 279, 23179, 4409, 4311, 6, 3157, 323, 1057, 22498, 220, 6549, 10, 1667, 315, 10034, 56443, 287, 3217, 1304, 369, 264, 54829, 11363, 369, 2450, 627, 36, 61492, 4140, 12053, 11145, 21892, 74406, 32744, 402, 76031, 3779, 25, 330, 1687, 527, 35072, 311, 8427, 449, 22302, 311, 3085, 264, 7701, 30311, 323, 15022, 10034, 56443, 287, 2027, 627, 15085, 527, 1120, 6041, 1057, 3728, 14800, 3197, 323, 7373, 1755, 311, 1518, 11295, 25375, 315, 1057, 11084, 469, 61492, 4140, 2541, 26243, 5557, 304, 279, 3723, 4273, 323, 7008, 304, 279, 5108, 4038, 10246, 74115, 304, 469, 61492, 4140, 12053, 22621, 13, 320, 2507, 48, 25, 2818, 9579, 8, 8036, 220, 15, 13, 1691, 824, 2960, 5190, 520, 400, 19, 13, 6028, 824, 4430, 304, 1561, 4356, 6740, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 4438, 2057, 29878, 535, 1556, 9420, 67818, 25, 362, 13002, 311, 18955, 3400, 309, 1385, 198, 13622, 315, 603, 4510, 430, 1884, 889, 1288, 1193, 8850, 66579, 527, 1274, 67512, 389, 477, 3221, 14867, 5238, 13, 3011, 374, 539, 2744, 279, 1162, 13, 15344, 311, 33318, 934, 2094, 649, 12446, 304, 904, 961, 315, 279, 1917, 13, 1628, 11, 889, 753, 311, 2019, 499, 2834, 1431, 387, 1314, 1405, 264, 2466, 832, 13980, 422, 499, 1120, 7077, 311, 387, 1070, 389, 20769, 477, 12579, 555, 389, 264, 8577, 30, 1115, 374, 3249, 1475, 1732, 1288, 4048, 1268, 311, 18167, 459, 38413, 627, 644, 420, 4652, 11, 499, 690, 4048, 1148, 11384, 459, 38413, 11, 1148, 3169, 315, 5674, 433, 649, 1121, 304, 11, 1268, 311, 10772, 11, 323, 1268, 311, 18167, 279, 40696, 13, 4557, 389, 311, 8895, 279, 6677, 499, 1205, 311, 387, 220, 1041, 4, 10235, 4999, 4438, 74132, 2209, 459, 9420, 67818, 5380, 2746, 499, 2351, 18069, 3403, 539, 311, 617, 3970, 1176, 25417, 279, 5674, 459, 38413, 649, 5353, 11, 1797, 6261, 18069, 13, 1472, 3077, 4762, 3970, 9364, 315, 11102, 15220, 14016, 11, 77490, 19795, 11, 21536, 12690, 11, 323, 56467, 11276, 13, 2030, 11, 1550, 499, 1440, 1070, 574, 3131, 459, 38413, 779, 8147, 430, 358, 9057, 279, 29538, 11188, 311, 3351, 30, 33916, 220, 10562, 16, 311, 220, 10562, 17, 11, 279, 5654, 315, 1561, 25048, 11, 25378, 574, 279, 25706, 1992, 315, 459, 38413, 430, 1436, 387, 6612, 709, 311, 220, 1041, 15, 8931, 3201, 323, 19543, 304, 279, 49647, 11149, 315, 279, 29538, 11188, 627, 2675, 656, 539, 617, 311, 387, 3221, 36373, 7217, 311, 11196, 922, 66579, 13, 2684, 527, 1778, 2574, 439, 893, 38973, 66579, 4245, 311, 5655, 7962, 64, 39662, 13, 1115, 11384, 279, 259, 440, 14338, 25485, 304, 279, 9578, 753, 7479, 311, 3217, 1524, 810, 7410, 627, 4438, 311, 32266, 198, 82800, 11, 14248, 4250, 7168, 66579, 13, 2435, 649, 1193, 1304, 15279, 811, 11, 1093, 1268, 1070, 753, 279, 5960, 13175, 9332, 3158, 706, 264, 220, 3080, 4, 6140, 315, 3217, 264, 3682, 38413, 304, 279, 1828, 220, 966, 1667, 13, 2100, 11, 18459, 374, 1401, 0, 1472, 1288, 11, 520, 682, 3115, 11, 617, 264, 3197, 304, 2035, 369, 1268, 311, 18167, 264, 2466, 38413, 627, 791, 1176, 3245, 499, 1205, 311, 7491, 374, 701, 31655, 13, 15281, 1268, 311, 10765, 279, 24379, 62844, 3813, 323, 1268, 311, 636, 1070, 6288, 13, 3639, 499, 1390, 311, 4639, 701, 31655, 374, 430, 499, 2011, 5766, 16054, 6302, 13, 10175, 420, 6677, 389, 311, 701, 3070, 3697, 627, 791, 2132, 3245, 499, 1205, 311, 656, 374, 5708, 709, 389, 17135, 13, 1556, 38413, 649, 5353, 2410, 704, 1154, 323, 5754, 22692, 11, 4315, 1023, 2574, 11, 779, 499, 617, 311, 387, 10235, 369, 40746, 304, 2035, 2085, 18200, 369, 459, 11838, 4261, 13, 4718, 38413, 10077, 704, 9145, 1288, 617, 264, 11863, 59655, 660, 9063, 449, 5066, 27360, 11, 8381, 14146, 11, 264, 1176, 12576, 16530, 11, 72178, 3090, 11, 3691, 323, 6593, 17135, 430, 649, 1566, 1403, 5672, 11, 65712, 323, 10633, 627, 4054, 315, 279, 1888, 38413, 20237, 10631, 499, 649, 6227, 374, 311, 10772, 701, 2162, 13, 1115, 3445, 77218, 3673, 311, 18979, 279, 5326, 315, 6302, 16054, 8800, 1274, 477, 14718, 2294, 5674, 13, 9307, 8987, 6302, 389, 279, 6558, 477, 4827, 559, 21903, 11, 49872, 701, 46044, 11, 43338, 11, 323, 2363, 24857, 13, 13969, 4205, 1344, 100210, 3201, 505, 9626, 2492, 11, 357, 10296, 11, 323, 3090, 82467, 627, 89592, 38413, 57648, 449, 701, 3070, 13, 84303, 389, 520, 3325, 1403, 6220, 26467, 369, 499, 311, 390, 14574, 1288, 459, 38413, 4295, 13, 4314, 7634, 1288, 387, 264, 6220, 6138, 505, 701, 2162, 323, 3201, 505, 904, 52642, 627, 3923, 311, 3234, 12220, 1556, 9420, 67818, 198, 12834, 1070, 374, 912, 13687, 1648, 311, 7168, 459, 38413, 11, 499, 617, 311, 10772, 6261, 369, 682, 13124, 315, 26350, 13, 4452, 11, 279, 6913, 6037, 315, 1054, 6861, 11, 3504, 323, 3412, 389, 863, 649, 387, 9435, 304, 1455, 15082, 1405, 499, 2610, 1268, 656, 499, 18167, 459, 38413, 627, 2746, 499, 3207, 304, 264, 4857, 11, 701, 31655, 1288, 8641, 499, 311, 279, 62844, 7858, 13, 1115, 649, 387, 1234, 264, 3831, 18496, 477, 2007, 477, 3235, 459, 15135, 7147, 13, 1556, 3062, 11813, 369, 1268, 311, 18167, 459, 38413, 304, 264, 4857, 374, 311, 5766, 1694, 3221, 41585, 11, 11276, 11, 21363, 6302, 11, 8987, 14891, 323, 34802, 11, 323, 8336, 315, 8798, 323, 4027, 13, 23588, 389, 311, 2555, 15528, 11, 323, 656, 539, 1095, 733, 3156, 279, 38839, 18417, 627, 2746, 499, 527, 4994, 994, 459, 38413, 13980, 11, 4822, 3201, 505, 4857, 14620, 323, 2410, 5238, 13, 9843, 499, 527, 304, 264, 2867, 3158, 11, 4822, 3428, 389, 279, 5015, 627, 2746, 499, 2351, 21646, 304, 264, 1841, 11, 6958, 927, 439, 5246, 439, 499, 649, 13, 13969, 3201, 505, 2410, 5238, 11, 927, 95423, 11, 323, 3177, 51879, 13, 29837, 304, 701, 7458, 7389, 1070, 374, 459, 14247, 8137, 430, 7612, 499, 311, 3094, 704, 13, 13969, 701, 9063, 389, 779, 499, 649, 6865, 904, 13147, 13195, 1314, 3201, 627, 3923, 311, 3234, 4740, 1556, 9420, 67818, 198, 12805, 279, 38839, 706, 10717, 11, 499, 1288, 8720, 6261, 323, 701, 40190, 13, 4343, 369, 15319, 13, 3234, 539, 2543, 389, 904, 34802, 13, 1472, 1288, 653, 48574, 1124, 422, 433, 596, 6220, 311, 656, 779, 627, 2746, 701, 3158, 374, 25587, 20727, 11, 499, 690, 1205, 311, 1505, 264, 30549, 10353, 13, 2175, 4994, 11, 323, 422, 499, 2351, 304, 264, 4857, 11, 1935, 279, 32249, 13, 20474, 430, 60801, 56090, 26246, 323, 18659, 1105, 12446, 1306, 459, 38413, 13, 3234, 539, 1456, 311, 3351, 4205, 323, 3868, 369, 1520, 311, 17782, 13, 1442, 499, 527, 304, 701, 1841, 11, 387, 8010, 315, 52642, 11, 1093, 45963, 389, 279, 5754, 323, 21536, 2410, 5238, 477, 12690, 11, 422, 499, 527, 10043, 1578, 13, 57194, 505, 60801, 56090, 26246, 11, 12098, 75, 3422, 323, 10814, 359, 309, 285, 649, 1101, 12446, 1306, 459, 38413, 13, 2893, 55274, 315, 430, 11, 11911, 389, 1405, 499, 3974, 627, 18433, 315, 279, 50235, 7138, 315, 66579, 11, 279, 1193, 1648, 311, 4822, 6220, 374, 311, 387, 10235, 0, 1115, 5764, 34325, 323, 22655, 13, 4800, 499, 1440, 1268, 311, 18167, 459, 38413, 11, 5542, 701, 4059, 323, 2547, 311, 6013, 6288, 13, 7557, 2771, 499, 617, 4228, 2680, 311, 279, 3673, 499, 1205, 28578, 499, 527, 1389, 520, 2162, 11, 990, 11, 477, 1418, 21646, 13, 2175, 810, 10631, 389, 13147, 6787, 627, 33327, 220, 19, 11, 220, 2366, 16, 198, 1729, 25, 10785, 655, 43350, 263, 198, 44924, 447, 2094, 529, 4754, 311, 1893, 54677, 19814, 3727, 1124, 26454, 323, 41765, 11, 5423, 2533, 90578, 33327, 220, 605, 11, 220, 2366, 16, 198, 1729, 25, 48148, 50635, 198, 4944, 14533, 6118, 13471, 2085, 10163, 13, 1102, 11141, 4920, 264, 9025, 315, 28013, 323, 22047, 430, 16008, 1274, 1448, 82049, 85327, 2212, 4560, 311, 3820, 709, 279, 9863, 315, 872, 15187, 709, 42286, 6439, 13, 128001 ]
[ -100, 4438, 2057, 29878, 535, 1556, 9420, 67818, 25, 362, 13002, 311, 18955, 3400, 309, 1385, 198, 13622, 315, 603, 4510, 430, 1884, 889, 1288, 1193, 8850, 66579, 527, 1274, 67512, 389, 477, 3221, 14867, 5238, 13, 3011, 374, 539, 2744, 279, 1162, 13, 15344, 311, 33318, 934, 2094, 649, 12446, 304, 904, 961, 315, 279, 1917, 13, 1628, 11, 889, 753, 311, 2019, 499, 2834, 1431, 387, 1314, 1405, 264, 2466, 832, 13980, 422, 499, 1120, 7077, 311, 387, 1070, 389, 20769, 477, 12579, 555, 389, 264, 8577, 30, 1115, 374, 3249, 1475, 1732, 1288, 4048, 1268, 311, 18167, 459, 38413, 627, 644, 420, 4652, 11, 499, 690, 4048, 1148, 11384, 459, 38413, 11, 1148, 3169, 315, 5674, 433, 649, 1121, 304, 11, 1268, 311, 10772, 11, 323, 1268, 311, 18167, 279, 40696, 13, 4557, 389, 311, 8895, 279, 6677, 499, 1205, 311, 387, 220, 1041, 4, 10235, 4999, 4438, 74132, 2209, 459, 9420, 67818, 5380, 2746, 499, 2351, 18069, 3403, 539, 311, 617, 3970, 1176, 25417, 279, 5674, 459, 38413, 649, 5353, 11, 1797, 6261, 18069, 13, 1472, 3077, 4762, 3970, 9364, 315, 11102, 15220, 14016, 11, 77490, 19795, 11, 21536, 12690, 11, 323, 56467, 11276, 13, 2030, 11, 1550, 499, 1440, 1070, 574, 3131, 459, 38413, 779, 8147, 430, 358, 9057, 279, 29538, 11188, 311, 3351, 30, 33916, 220, 10562, 16, 311, 220, 10562, 17, 11, 279, 5654, 315, 1561, 25048, 11, 25378, 574, 279, 25706, 1992, 315, 459, 38413, 430, 1436, 387, 6612, 709, 311, 220, 1041, 15, 8931, 3201, 323, 19543, 304, 279, 49647, 11149, 315, 279, 29538, 11188, 627, 2675, 656, 539, 617, 311, 387, 3221, 36373, 7217, 311, 11196, 922, 66579, 13, 2684, 527, 1778, 2574, 439, 893, 38973, 66579, 4245, 311, 5655, 7962, 64, 39662, 13, 1115, 11384, 279, 259, 440, 14338, 25485, 304, 279, 9578, 753, 7479, 311, 3217, 1524, 810, 7410, 627, 4438, 311, 32266, 198, 82800, 11, 14248, 4250, 7168, 66579, 13, 2435, 649, 1193, 1304, 15279, 811, 11, 1093, 1268, 1070, 753, 279, 5960, 13175, 9332, 3158, 706, 264, 220, 3080, 4, 6140, 315, 3217, 264, 3682, 38413, 304, 279, 1828, 220, 966, 1667, 13, 2100, 11, 18459, 374, 1401, 0, 1472, 1288, 11, 520, 682, 3115, 11, 617, 264, 3197, 304, 2035, 369, 1268, 311, 18167, 264, 2466, 38413, 627, 791, 1176, 3245, 499, 1205, 311, 7491, 374, 701, 31655, 13, 15281, 1268, 311, 10765, 279, 24379, 62844, 3813, 323, 1268, 311, 636, 1070, 6288, 13, 3639, 499, 1390, 311, 4639, 701, 31655, 374, 430, 499, 2011, 5766, 16054, 6302, 13, 10175, 420, 6677, 389, 311, 701, 3070, 3697, 627, 791, 2132, 3245, 499, 1205, 311, 656, 374, 5708, 709, 389, 17135, 13, 1556, 38413, 649, 5353, 2410, 704, 1154, 323, 5754, 22692, 11, 4315, 1023, 2574, 11, 779, 499, 617, 311, 387, 10235, 369, 40746, 304, 2035, 2085, 18200, 369, 459, 11838, 4261, 13, 4718, 38413, 10077, 704, 9145, 1288, 617, 264, 11863, 59655, 660, 9063, 449, 5066, 27360, 11, 8381, 14146, 11, 264, 1176, 12576, 16530, 11, 72178, 3090, 11, 3691, 323, 6593, 17135, 430, 649, 1566, 1403, 5672, 11, 65712, 323, 10633, 627, 4054, 315, 279, 1888, 38413, 20237, 10631, 499, 649, 6227, 374, 311, 10772, 701, 2162, 13, 1115, 3445, 77218, 3673, 311, 18979, 279, 5326, 315, 6302, 16054, 8800, 1274, 477, 14718, 2294, 5674, 13, 9307, 8987, 6302, 389, 279, 6558, 477, 4827, 559, 21903, 11, 49872, 701, 46044, 11, 43338, 11, 323, 2363, 24857, 13, 13969, 4205, 1344, 100210, 3201, 505, 9626, 2492, 11, 357, 10296, 11, 323, 3090, 82467, 627, 89592, 38413, 57648, 449, 701, 3070, 13, 84303, 389, 520, 3325, 1403, 6220, 26467, 369, 499, 311, 390, 14574, 1288, 459, 38413, 4295, 13, 4314, 7634, 1288, 387, 264, 6220, 6138, 505, 701, 2162, 323, 3201, 505, 904, 52642, 627, 3923, 311, 3234, 12220, 1556, 9420, 67818, 198, 12834, 1070, 374, 912, 13687, 1648, 311, 7168, 459, 38413, 11, 499, 617, 311, 10772, 6261, 369, 682, 13124, 315, 26350, 13, 4452, 11, 279, 6913, 6037, 315, 1054, 6861, 11, 3504, 323, 3412, 389, 863, 649, 387, 9435, 304, 1455, 15082, 1405, 499, 2610, 1268, 656, 499, 18167, 459, 38413, 627, 2746, 499, 3207, 304, 264, 4857, 11, 701, 31655, 1288, 8641, 499, 311, 279, 62844, 7858, 13, 1115, 649, 387, 1234, 264, 3831, 18496, 477, 2007, 477, 3235, 459, 15135, 7147, 13, 1556, 3062, 11813, 369, 1268, 311, 18167, 459, 38413, 304, 264, 4857, 374, 311, 5766, 1694, 3221, 41585, 11, 11276, 11, 21363, 6302, 11, 8987, 14891, 323, 34802, 11, 323, 8336, 315, 8798, 323, 4027, 13, 23588, 389, 311, 2555, 15528, 11, 323, 656, 539, 1095, 733, 3156, 279, 38839, 18417, 627, 2746, 499, 527, 4994, 994, 459, 38413, 13980, 11, 4822, 3201, 505, 4857, 14620, 323, 2410, 5238, 13, 9843, 499, 527, 304, 264, 2867, 3158, 11, 4822, 3428, 389, 279, 5015, 627, 2746, 499, 2351, 21646, 304, 264, 1841, 11, 6958, 927, 439, 5246, 439, 499, 649, 13, 13969, 3201, 505, 2410, 5238, 11, 927, 95423, 11, 323, 3177, 51879, 13, 29837, 304, 701, 7458, 7389, 1070, 374, 459, 14247, 8137, 430, 7612, 499, 311, 3094, 704, 13, 13969, 701, 9063, 389, 779, 499, 649, 6865, 904, 13147, 13195, 1314, 3201, 627, 3923, 311, 3234, 4740, 1556, 9420, 67818, 198, 12805, 279, 38839, 706, 10717, 11, 499, 1288, 8720, 6261, 323, 701, 40190, 13, 4343, 369, 15319, 13, 3234, 539, 2543, 389, 904, 34802, 13, 1472, 1288, 653, 48574, 1124, 422, 433, 596, 6220, 311, 656, 779, 627, 2746, 701, 3158, 374, 25587, 20727, 11, 499, 690, 1205, 311, 1505, 264, 30549, 10353, 13, 2175, 4994, 11, 323, 422, 499, 2351, 304, 264, 4857, 11, 1935, 279, 32249, 13, 20474, 430, 60801, 56090, 26246, 323, 18659, 1105, 12446, 1306, 459, 38413, 13, 3234, 539, 1456, 311, 3351, 4205, 323, 3868, 369, 1520, 311, 17782, 13, 1442, 499, 527, 304, 701, 1841, 11, 387, 8010, 315, 52642, 11, 1093, 45963, 389, 279, 5754, 323, 21536, 2410, 5238, 477, 12690, 11, 422, 499, 527, 10043, 1578, 13, 57194, 505, 60801, 56090, 26246, 11, 12098, 75, 3422, 323, 10814, 359, 309, 285, 649, 1101, 12446, 1306, 459, 38413, 13, 2893, 55274, 315, 430, 11, 11911, 389, 1405, 499, 3974, 627, 18433, 315, 279, 50235, 7138, 315, 66579, 11, 279, 1193, 1648, 311, 4822, 6220, 374, 311, 387, 10235, 0, 1115, 5764, 34325, 323, 22655, 13, 4800, 499, 1440, 1268, 311, 18167, 459, 38413, 11, 5542, 701, 4059, 323, 2547, 311, 6013, 6288, 13, 7557, 2771, 499, 617, 4228, 2680, 311, 279, 3673, 499, 1205, 28578, 499, 527, 1389, 520, 2162, 11, 990, 11, 477, 1418, 21646, 13, 2175, 810, 10631, 389, 13147, 6787, 627, 33327, 220, 19, 11, 220, 2366, 16, 198, 1729, 25, 10785, 655, 43350, 263, 198, 44924, 447, 2094, 529, 4754, 311, 1893, 54677, 19814, 3727, 1124, 26454, 323, 41765, 11, 5423, 2533, 90578, 33327, 220, 605, 11, 220, 2366, 16, 198, 1729, 25, 48148, 50635, 198, 4944, 14533, 6118, 13471, 2085, 10163, 13, 1102, 11141, 4920, 264, 9025, 315, 28013, 323, 22047, 430, 16008, 1274, 1448, 82049, 85327, 2212, 4560, 311, 3820, 709, 279, 9863, 315, 872, 15187, 709, 42286, 6439, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 88643, 11, 430, 753, 1314, 13, 5751, 2978, 706, 8036, 369, 279, 473, 16, 45, 16, 65092, 13, 1226, 1047, 2380, 5157, 1501, 709, 389, 6740, 304, 1057, 8013, 6150, 779, 430, 13096, 574, 8036, 13, 2030, 555, 7742, 11, 810, 5157, 43333, 709, 779, 279, 16526, 3109, 706, 8036, 603, 1523, 627, 10156, 264, 2478, 5157, 3250, 1431, 2873, 1093, 1790, 11, 719, 449, 264, 3345, 1367, 266, 4029, 11, 264, 17188, 1436, 9041, 5043, 13, 31909, 11, 4987, 12126, 1253, 539, 387, 459, 13218, 11, 719, 449, 4892, 12126, 22978, 603, 1022, 505, 13936, 11, 433, 13524, 374, 627, 40, 617, 912, 4623, 3249, 584, 7784, 1431, 5535, 304, 1057, 58216, 11, 477, 304, 856, 1162, 11, 856, 5274, 13, 2030, 584, 4805, 733, 3235, 449, 433, 627, 24205, 11, 584, 617, 1022, 505, 2978, 3156, 1828, 8079, 320, 300, 315, 1314, 1457, 570, 25122, 11, 682, 279, 13639, 527, 3515, 389, 8614, 2978, 13, 3161, 279, 5557, 315, 3432, 11, 433, 2216, 374, 656, 481, 13, 1628, 358, 4344, 9293, 389, 20129, 856, 11775, 71002, 420, 2046, 13, 3092, 22143, 311, 387, 8220, 449, 51944, 374, 5488, 13, 220, 16, 267, 13, 3053, 358, 656, 433, 5380, 63717, 11, 433, 753, 682, 1633, 13548, 311, 3974, 304, 264, 4029, 430, 374, 37965, 519, 1619, 13, 10926, 358, 4805, 617, 311, 3350, 264, 2363, 922, 430, 4999, 4071, 389, 264, 810, 6129, 5296, 11, 4587, 2567, 682, 279, 1274, 2212, 279, 1917, 889, 527, 14363, 304, 701, 34296, 323, 3987, 420, 17188, 649, 636, 13282, 627, 12174, 11, 36765, 0, 358, 3987, 4395, 374, 10619, 323, 279, 17188, 374, 13282, 627, 9642, 11, 459, 31188, 649, 387, 29565, 13, 6113, 701, 6206, 3629, 323, 1648, 311, 1427, 389, 279, 10107, 3185, 323, 990, 389, 701, 2363, 4999, 36981, 13, 38994, 814, 4805, 387, 3025, 311, 733, 1203, 323, 682, 690, 387, 1664, 13, 2582, 7344, 814, 4805, 636, 1511, 311, 430, 2930, 2978, 3245, 627, 1687, 4070, 1047, 433, 304, 1057, 27465, 11, 719, 9167, 1431, 8036, 1523, 13, 63554, 11, 433, 3250, 1431, 2873, 311, 387, 31135, 19019, 627, 2675, 323, 279, 1274, 3221, 499, 527, 304, 856, 11555, 612, 34296, 11, 60771, 13, 3092, 10003, 374, 304, 5161, 13936, 1457, 11, 779, 358, 4805, 656, 4400, 719, 11196, 3156, 1364, 753, 2162, 1578, 13, 29837, 6220, 323, 358, 3987, 433, 3250, 1431, 636, 2288, 3958, 1070, 627, 12947, 7752, 0, 1628, 10035, 15490, 411, 64, 11, 358, 2736, 2751, 264, 17817, 315, 856, 24493, 2884, 449, 682, 279, 4442, 505, 856, 43665, 8717, 627, 10156, 10717, 555, 13, 358, 4344, 264, 4846, 11326, 11, 7061, 11, 6691, 315, 13305, 11, 323, 4846, 23055, 320, 37227, 1690, 15319, 311, 3136, 570, 358, 4805, 387, 1203, 4999, 38, 18599, 311, 6865, 499, 3207, 3339, 279, 1888, 315, 2574, 13, 1102, 1587, 5222, 264, 2766, 13548, 13, 320, 2685, 7627, 264, 2363, 304, 1070, 15038, 6266, 5810, 304, 279, 5415, 320, 266, 3325, 10705, 8, 814, 4070, 1027, 10163, 603, 430, 279, 17188, 690, 387, 20129, 8853, 2653, 323, 584, 1288, 5128, 1790, 3197, 389, 4597, 826, 323, 779, 13544, 13, 3092, 6278, 1716, 706, 51643, 779, 358, 4344, 264, 2697, 810, 18290, 1109, 13783, 369, 20236, 3280, 719, 539, 94110, 13, 2684, 753, 539, 264, 4459, 2763, 584, 649, 656, 3734, 11623, 1057, 6206, 323, 636, 279, 25474, 994, 433, 9221, 2561, 304, 5020, 627, 36981, 11, 13548, 3115, 0, 9930, 39526, 369, 5557, 13, 358, 3987, 5127, 304, 701, 3070, 323, 538, 27656, 9498, 323, 499, 3207, 1203, 311, 2978, 5246, 13, 7839, 15369, 389, 279, 2363, 24493, 1418, 499, 3207, 2162, 4999, 36981, 11, 420, 17188, 374, 1778, 264, 29565, 3245, 13, 12040, 2512, 315, 6261, 4999, 35862, 23978, 304, 36239, 617, 37965, 519, 1619, 4236, 11, 323, 3892, 2978, 27536, 430, 9172, 10705, 527, 7314, 311, 1934, 5157, 13, 1102, 753, 1193, 264, 5030, 315, 892, 1603, 856, 14016, 636, 4295, 2288, 13, 38994, 433, 753, 279, 23900, 2373, 323, 539, 279, 502, 26800, 430, 5900, 1314, 1139, 69329, 13, 128001, 128000, 41, 3963, 1354, 617, 1027, 2212, 369, 520, 3325, 220, 3443, 11, 931, 1667, 627, 4897, 596, 5129, 1109, 1070, 617, 1027, 1274, 627, 791, 220, 3443, 11, 931, 1060, 6418, 6305, 1766, 304, 10057, 527, 1903, 315, 8314, 10743, 323, 1053, 617, 1027, 1511, 555, 3060, 84497, 38732, 355, 512, 269, 84497, 568, 93019, 87778, 512, 9673, 21939, 2395, 1590, 527, 5115, 4156, 74666, 11, 902, 374, 1148, 13533, 814, 1051, 1281, 301, 1354, 323, 539, 1120, 1511, 369, 72022, 627, 32, 1281, 33830, 374, 6319, 311, 733, 3117, 323, 5043, 11, 323, 1281, 301, 1354, 617, 2728, 872, 836, 311, 5370, 14467, 11, 11277, 21787, 11, 53098, 11, 28788, 11, 9515, 11, 24909, 11, 18084, 11, 22019, 67542, 71, 552, 323, 18084, 627, 3947, 596, 1101, 264, 622, 3963, 258, 60981, 512, 64, 622, 3963, 258, 9462, 83032, 512, 64, 622, 3963, 258, 7795, 512, 81949, 555, 2999, 19036, 24852, 2785, 198, 14267, 11240, 2795, 433, 706, 264, 1317, 35776, 389, 1202, 3260, 1913, 11, 719, 358, 649, 956, 1518, 433, 1618, 29275, 438, 264, 1281, 33830, 993, 1982, 18668, 11, 902, 1587, 1427, 1633, 1093, 264, 20457, 11, 5423, 994, 3970, 505, 279, 4156, 512, 32, 1281, 33830, 5811, 374, 832, 12899, 279, 24746, 1404, 315, 279, 15861, 25, 323, 11, 1095, 596, 3663, 433, 11, 422, 279, 15861, 649, 2586, 709, 449, 499, 11, 757, 11, 323, 279, 1281, 33830, 993, 1982, 18668, 1243, 433, 2011, 387, 11112, 65761, 23205, 627, 48149, 279, 2698, 604, 295, 25, 1281, 33830, 13, 1115, 3492, 4131, 505, 279, 10846, 8753, 3492, 1281, 4939, 11, 902, 374, 264, 2373, 315, 1281, 301, 354, 11, 902, 374, 55764, 627, 4226, 264, 12535, 198, 2460, 6170, 527, 1633, 10788, 11, 719, 4587, 1304, 1124, 14791, 369, 578, 9506, 9973, 596, 3070, 10877, 13, 128001, 128000, 1170, 36930, 37550, 8288, 351, 3252, 5734, 11, 6890, 6548, 11904, 11987, 11, 5070, 198, 7, 2520, 810, 23688, 26571, 51, 37550, 82, 11, 4299, 510, 1170, 36930, 37550, 14, 2608, 1383, 8096, 3061, 1494, 1368, 323, 328, 3972, 295, 921, 1683, 68996, 320, 33, 5463, 40, 68701, 8, 369, 264, 26991, 18783, 304, 4987, 11904, 60505, 82, 5793, 19629, 45, 320, 8673, 88086, 3587, 705, 264, 2883, 5922, 922, 400, 1272, 7239, 627, 33, 47489, 72, 2795, 433, 374, 304, 13739, 449, 19629, 45, 11, 719, 706, 539, 3686, 1903, 459, 3085, 13, 2030, 9341, 14286, 527, 32393, 709, 311, 32113, 323, 17452, 279, 3568, 11, 8336, 2019, 11, 449, 1023, 3728, 60505, 4311, 1198, 5734, 13716, 320, 26195, 16, 3924, 42, 8, 5343, 1198, 1071, 311, 387, 389, 279, 1448, 41499, 627, 23078, 13716, 1071, 389, 7950, 433, 706, 539, 14435, 369, 19629, 45, 11, 719, 374, 8173, 304, 279, 4987, 10384, 3157, 13, 510, 926, 19822, 39, 44016, 9795, 23409, 933, 32, 3568, 369, 19629, 45, 1053, 387, 6890, 596, 7928, 57540, 5425, 28117, 24279, 323, 1053, 7916, 279, 3224, 596, 9546, 304, 10384, 627, 644, 5587, 11, 13479, 88, 309, 17863, 8471, 12604, 320, 85333, 56, 68701, 8, 320, 50, 3097, 2112, 705, 6890, 596, 2360, 13, 19, 3241, 3600, 58478, 11, 7376, 279, 7195, 315, 264, 3241, 4500, 323, 1862, 12764, 304, 15212, 311, 15596, 264, 7982, 75792, 2626, 304, 279, 12877, 6460, 323, 4892, 10384, 627, 5479, 7904, 23651, 414, 3913, 88245, 20556, 6709, 8471, 320, 51, 6546, 68701, 8, 706, 264, 2626, 5089, 304, 4987, 10384, 13, 15895, 323, 18955, 21523, 22621, 320, 7691, 34, 8, 320, 7691, 34, 68701, 705, 88245, 12783, 320, 51, 28729, 68701, 8, 323, 88245, 37792, 320, 51, 1428, 46, 68701, 8, 1101, 656, 2626, 1070, 627, 2198, 33004, 362, 36533, 198, 23078, 596, 74895, 63948, 779, 3117, 420, 1060, 617, 57953, 20262, 311, 400, 1591, 13, 18, 7239, 389, 220, 5332, 12789, 505, 400, 17, 13, 18, 7239, 323, 220, 2287, 12789, 304, 279, 1060, 12, 6438, 4261, 11, 4184, 311, 65332, 23688, 828, 13, 51721, 1131, 128001, 128000, 81117, 11, 62831, 315, 25320, 198, 1114, 7552, 220, 679, 22, 198, 1966, 7950, 11, 3314, 12667, 75280, 2322, 449, 813, 8690, 45116, 85098, 43950, 40494, 520, 264, 30048, 304, 13789, 77, 11, 10057, 13, 75280, 73100, 8600, 549, 815, 13, 4947, 311, 32262, 389, 8524, 311, 26069, 449, 279, 386, 89492, 6625, 9096, 14902, 304, 19278, 323, 311, 471, 61811, 311, 19278, 13, 578, 549, 815, 13, 690, 990, 449, 8524, 422, 1070, 527, 5789, 315, 23915, 11, 902, 374, 264, 1684, 23490, 6222, 555, 43950, 40494, 13, 16777, 12667, 87454, 11, 520, 264, 30334, 6574, 304, 38269, 11, 11224, 430, 6652, 323, 23223, 527, 1054, 1962, 304, 264, 2361, 1314, 1457, 311, 51696, 389, 264, 6411, 2237, 2029, 1283, 13605, 2697, 10712, 430, 8524, 41305, 291, 304, 279, 549, 815, 13, 6355, 13, 26044, 80766, 11, 279, 5929, 4783, 8612, 12667, 11, 706, 1071, 430, 4491, 13, 3420, 25283, 4491, 13, 21810, 311, 471, 61811, 627, 791, 73100, 2923, 367, 315, 9749, 549, 815, 13, 7362, 4947, 449, 5363, 311, 8524, 617, 67822, 279, 16388, 315, 279, 51424, 11, 304, 3177, 315, 279, 8369, 16630, 7119, 8524, 555, 4900, 3420, 11, 315, 264, 436, 16082, 331, 1133, 304, 549, 815, 12898, 45606, 4398, 13, 8524, 706, 1027, 7649, 549, 815, 13, 9006, 555, 6051, 77157, 279, 9349, 304, 24024, 19278, 11, 323, 1524, 11889, 264, 21930, 8448, 311, 279, 63263, 315, 31461, 13, 763, 2077, 311, 26044, 80766, 753, 4339, 11, 23223, 706, 22824, 2740, 18010, 279, 41180, 315, 13758, 61811, 311, 19278, 627, 83896, 279, 44734, 315, 8096, 40486, 439, 5165, 8398, 24874, 261, 323, 279, 38846, 26681, 927, 20405, 311, 8524, 11, 4900, 3420, 753, 14933, 6322, 16630, 7119, 36011, 21810, 11, 3420, 323, 75280, 753, 20405, 311, 8524, 11, 439, 1664, 439, 279, 4689, 99748, 315, 279, 502, 8735, 311, 9320, 13750, 323, 30820, 11, 311, 2035, 7095, 304, 279, 4339, 315, 279, 1948, 549, 815, 13, 7510, 1053, 387, 71379, 13, 19292, 8524, 374, 539, 3794, 4395, 433, 6944, 520, 279, 892, 430, 433, 6944, 505, 279, 549, 815, 13, 19292, 13, 4452, 11, 19894, 304, 2317, 11, 420, 68480, 1054, 83, 1409, 2136, 863, 1587, 539, 2489, 279, 3335, 13, 2468, 279, 842, 315, 279, 1938, 11, 439, 279, 9349, 304, 19278, 27533, 988, 11, 4900, 3420, 706, 539, 11, 45813, 315, 813, 32858, 439, 264, 4459, 11, 9076, 904, 14509, 4947, 25243, 7119, 8524, 13, 578, 4339, 315, 279, 12667, 315, 3314, 617, 912, 1957, 311, 1203, 1124, 709, 11, 323, 814, 2559, 2403, 279, 72221, 12324, 315, 2802, 430, 23490, 1587, 539, 5030, 304, 1057, 3118, 11477, 8903, 25, 813, 20405, 311, 77127, 44, 29029, 11, 264, 2883, 430, 5675, 400, 2636, 7239, 4245, 311, 24679, 389, 8524, 13, 578, 1510, 26681, 16239, 279, 4846, 5165, 8398, 24874, 261, 21667, 264, 11660, 69437, 449, 279, 8690, 3109, 311, 1207, 1653, 549, 815, 13, 7362, 4947, 11, 520, 3325, 13, 2100, 11, 439, 279, 8735, 13739, 279, 3137, 11, 358, 1097, 17693, 44929, 315, 1202, 15507, 311, 2559, 2403, 8524, 13, 578, 17128, 3966, 311, 20259, 24679, 2403, 8524, 11, 539, 1193, 1555, 11145, 10373, 719, 555, 12899, 13543, 5131, 11223, 304, 8151, 13, 23212, 11, 8151, 3966, 311, 6929, 38189, 555, 24834, 1139, 279, 13537, 1990, 8524, 323, 279, 502, 8735, 627, 2520, 810, 2038, 11, 4587, 4034, 25, 128001 ]
[ -100, 88643, 11, 430, 753, 1314, 13, 5751, 2978, 706, 8036, 369, 279, 473, 16, 45, 16, 65092, 13, 1226, 1047, 2380, 5157, 1501, 709, 389, 6740, 304, 1057, 8013, 6150, 779, 430, 13096, 574, 8036, 13, 2030, 555, 7742, 11, 810, 5157, 43333, 709, 779, 279, 16526, 3109, 706, 8036, 603, 1523, 627, 10156, 264, 2478, 5157, 3250, 1431, 2873, 1093, 1790, 11, 719, 449, 264, 3345, 1367, 266, 4029, 11, 264, 17188, 1436, 9041, 5043, 13, 31909, 11, 4987, 12126, 1253, 539, 387, 459, 13218, 11, 719, 449, 4892, 12126, 22978, 603, 1022, 505, 13936, 11, 433, 13524, 374, 627, 40, 617, 912, 4623, 3249, 584, 7784, 1431, 5535, 304, 1057, 58216, 11, 477, 304, 856, 1162, 11, 856, 5274, 13, 2030, 584, 4805, 733, 3235, 449, 433, 627, 24205, 11, 584, 617, 1022, 505, 2978, 3156, 1828, 8079, 320, 300, 315, 1314, 1457, 570, 25122, 11, 682, 279, 13639, 527, 3515, 389, 8614, 2978, 13, 3161, 279, 5557, 315, 3432, 11, 433, 2216, 374, 656, 481, 13, 1628, 358, 4344, 9293, 389, 20129, 856, 11775, 71002, 420, 2046, 13, 3092, 22143, 311, 387, 8220, 449, 51944, 374, 5488, 13, 220, 16, 267, 13, 3053, 358, 656, 433, 5380, 63717, 11, 433, 753, 682, 1633, 13548, 311, 3974, 304, 264, 4029, 430, 374, 37965, 519, 1619, 13, 10926, 358, 4805, 617, 311, 3350, 264, 2363, 922, 430, 4999, 4071, 389, 264, 810, 6129, 5296, 11, 4587, 2567, 682, 279, 1274, 2212, 279, 1917, 889, 527, 14363, 304, 701, 34296, 323, 3987, 420, 17188, 649, 636, 13282, 627, 12174, 11, 36765, 0, 358, 3987, 4395, 374, 10619, 323, 279, 17188, 374, 13282, 627, 9642, 11, 459, 31188, 649, 387, 29565, 13, 6113, 701, 6206, 3629, 323, 1648, 311, 1427, 389, 279, 10107, 3185, 323, 990, 389, 701, 2363, 4999, 36981, 13, 38994, 814, 4805, 387, 3025, 311, 733, 1203, 323, 682, 690, 387, 1664, 13, 2582, 7344, 814, 4805, 636, 1511, 311, 430, 2930, 2978, 3245, 627, 1687, 4070, 1047, 433, 304, 1057, 27465, 11, 719, 9167, 1431, 8036, 1523, 13, 63554, 11, 433, 3250, 1431, 2873, 311, 387, 31135, 19019, 627, 2675, 323, 279, 1274, 3221, 499, 527, 304, 856, 11555, 612, 34296, 11, 60771, 13, 3092, 10003, 374, 304, 5161, 13936, 1457, 11, 779, 358, 4805, 656, 4400, 719, 11196, 3156, 1364, 753, 2162, 1578, 13, 29837, 6220, 323, 358, 3987, 433, 3250, 1431, 636, 2288, 3958, 1070, 627, 12947, 7752, 0, 1628, 10035, 15490, 411, 64, 11, 358, 2736, 2751, 264, 17817, 315, 856, 24493, 2884, 449, 682, 279, 4442, 505, 856, 43665, 8717, 627, 10156, 10717, 555, 13, 358, 4344, 264, 4846, 11326, 11, 7061, 11, 6691, 315, 13305, 11, 323, 4846, 23055, 320, 37227, 1690, 15319, 311, 3136, 570, 358, 4805, 387, 1203, 4999, 38, 18599, 311, 6865, 499, 3207, 3339, 279, 1888, 315, 2574, 13, 1102, 1587, 5222, 264, 2766, 13548, 13, 320, 2685, 7627, 264, 2363, 304, 1070, 15038, 6266, 5810, 304, 279, 5415, 320, 266, 3325, 10705, 8, 814, 4070, 1027, 10163, 603, 430, 279, 17188, 690, 387, 20129, 8853, 2653, 323, 584, 1288, 5128, 1790, 3197, 389, 4597, 826, 323, 779, 13544, 13, 3092, 6278, 1716, 706, 51643, 779, 358, 4344, 264, 2697, 810, 18290, 1109, 13783, 369, 20236, 3280, 719, 539, 94110, 13, 2684, 753, 539, 264, 4459, 2763, 584, 649, 656, 3734, 11623, 1057, 6206, 323, 636, 279, 25474, 994, 433, 9221, 2561, 304, 5020, 627, 36981, 11, 13548, 3115, 0, 9930, 39526, 369, 5557, 13, 358, 3987, 5127, 304, 701, 3070, 323, 538, 27656, 9498, 323, 499, 3207, 1203, 311, 2978, 5246, 13, 7839, 15369, 389, 279, 2363, 24493, 1418, 499, 3207, 2162, 4999, 36981, 11, 420, 17188, 374, 1778, 264, 29565, 3245, 13, 12040, 2512, 315, 6261, 4999, 35862, 23978, 304, 36239, 617, 37965, 519, 1619, 4236, 11, 323, 3892, 2978, 27536, 430, 9172, 10705, 527, 7314, 311, 1934, 5157, 13, 1102, 753, 1193, 264, 5030, 315, 892, 1603, 856, 14016, 636, 4295, 2288, 13, 38994, 433, 753, 279, 23900, 2373, 323, 539, 279, 502, 26800, 430, 5900, 1314, 1139, 69329, 13, 128001, -100, 41, 3963, 1354, 617, 1027, 2212, 369, 520, 3325, 220, 3443, 11, 931, 1667, 627, 4897, 596, 5129, 1109, 1070, 617, 1027, 1274, 627, 791, 220, 3443, 11, 931, 1060, 6418, 6305, 1766, 304, 10057, 527, 1903, 315, 8314, 10743, 323, 1053, 617, 1027, 1511, 555, 3060, 84497, 38732, 355, 512, 269, 84497, 568, 93019, 87778, 512, 9673, 21939, 2395, 1590, 527, 5115, 4156, 74666, 11, 902, 374, 1148, 13533, 814, 1051, 1281, 301, 1354, 323, 539, 1120, 1511, 369, 72022, 627, 32, 1281, 33830, 374, 6319, 311, 733, 3117, 323, 5043, 11, 323, 1281, 301, 1354, 617, 2728, 872, 836, 311, 5370, 14467, 11, 11277, 21787, 11, 53098, 11, 28788, 11, 9515, 11, 24909, 11, 18084, 11, 22019, 67542, 71, 552, 323, 18084, 627, 3947, 596, 1101, 264, 622, 3963, 258, 60981, 512, 64, 622, 3963, 258, 9462, 83032, 512, 64, 622, 3963, 258, 7795, 512, 81949, 555, 2999, 19036, 24852, 2785, 198, 14267, 11240, 2795, 433, 706, 264, 1317, 35776, 389, 1202, 3260, 1913, 11, 719, 358, 649, 956, 1518, 433, 1618, 29275, 438, 264, 1281, 33830, 993, 1982, 18668, 11, 902, 1587, 1427, 1633, 1093, 264, 20457, 11, 5423, 994, 3970, 505, 279, 4156, 512, 32, 1281, 33830, 5811, 374, 832, 12899, 279, 24746, 1404, 315, 279, 15861, 25, 323, 11, 1095, 596, 3663, 433, 11, 422, 279, 15861, 649, 2586, 709, 449, 499, 11, 757, 11, 323, 279, 1281, 33830, 993, 1982, 18668, 1243, 433, 2011, 387, 11112, 65761, 23205, 627, 48149, 279, 2698, 604, 295, 25, 1281, 33830, 13, 1115, 3492, 4131, 505, 279, 10846, 8753, 3492, 1281, 4939, 11, 902, 374, 264, 2373, 315, 1281, 301, 354, 11, 902, 374, 55764, 627, 4226, 264, 12535, 198, 2460, 6170, 527, 1633, 10788, 11, 719, 4587, 1304, 1124, 14791, 369, 578, 9506, 9973, 596, 3070, 10877, 13, 128001, -100, 1170, 36930, 37550, 8288, 351, 3252, 5734, 11, 6890, 6548, 11904, 11987, 11, 5070, 198, 7, 2520, 810, 23688, 26571, 51, 37550, 82, 11, 4299, 510, 1170, 36930, 37550, 14, 2608, 1383, 8096, 3061, 1494, 1368, 323, 328, 3972, 295, 921, 1683, 68996, 320, 33, 5463, 40, 68701, 8, 369, 264, 26991, 18783, 304, 4987, 11904, 60505, 82, 5793, 19629, 45, 320, 8673, 88086, 3587, 705, 264, 2883, 5922, 922, 400, 1272, 7239, 627, 33, 47489, 72, 2795, 433, 374, 304, 13739, 449, 19629, 45, 11, 719, 706, 539, 3686, 1903, 459, 3085, 13, 2030, 9341, 14286, 527, 32393, 709, 311, 32113, 323, 17452, 279, 3568, 11, 8336, 2019, 11, 449, 1023, 3728, 60505, 4311, 1198, 5734, 13716, 320, 26195, 16, 3924, 42, 8, 5343, 1198, 1071, 311, 387, 389, 279, 1448, 41499, 627, 23078, 13716, 1071, 389, 7950, 433, 706, 539, 14435, 369, 19629, 45, 11, 719, 374, 8173, 304, 279, 4987, 10384, 3157, 13, 510, 926, 19822, 39, 44016, 9795, 23409, 933, 32, 3568, 369, 19629, 45, 1053, 387, 6890, 596, 7928, 57540, 5425, 28117, 24279, 323, 1053, 7916, 279, 3224, 596, 9546, 304, 10384, 627, 644, 5587, 11, 13479, 88, 309, 17863, 8471, 12604, 320, 85333, 56, 68701, 8, 320, 50, 3097, 2112, 705, 6890, 596, 2360, 13, 19, 3241, 3600, 58478, 11, 7376, 279, 7195, 315, 264, 3241, 4500, 323, 1862, 12764, 304, 15212, 311, 15596, 264, 7982, 75792, 2626, 304, 279, 12877, 6460, 323, 4892, 10384, 627, 5479, 7904, 23651, 414, 3913, 88245, 20556, 6709, 8471, 320, 51, 6546, 68701, 8, 706, 264, 2626, 5089, 304, 4987, 10384, 13, 15895, 323, 18955, 21523, 22621, 320, 7691, 34, 8, 320, 7691, 34, 68701, 705, 88245, 12783, 320, 51, 28729, 68701, 8, 323, 88245, 37792, 320, 51, 1428, 46, 68701, 8, 1101, 656, 2626, 1070, 627, 2198, 33004, 362, 36533, 198, 23078, 596, 74895, 63948, 779, 3117, 420, 1060, 617, 57953, 20262, 311, 400, 1591, 13, 18, 7239, 389, 220, 5332, 12789, 505, 400, 17, 13, 18, 7239, 323, 220, 2287, 12789, 304, 279, 1060, 12, 6438, 4261, 11, 4184, 311, 65332, 23688, 828, 13, 51721, 1131, 128001, -100, 81117, 11, 62831, 315, 25320, 198, 1114, 7552, 220, 679, 22, 198, 1966, 7950, 11, 3314, 12667, 75280, 2322, 449, 813, 8690, 45116, 85098, 43950, 40494, 520, 264, 30048, 304, 13789, 77, 11, 10057, 13, 75280, 73100, 8600, 549, 815, 13, 4947, 311, 32262, 389, 8524, 311, 26069, 449, 279, 386, 89492, 6625, 9096, 14902, 304, 19278, 323, 311, 471, 61811, 311, 19278, 13, 578, 549, 815, 13, 690, 990, 449, 8524, 422, 1070, 527, 5789, 315, 23915, 11, 902, 374, 264, 1684, 23490, 6222, 555, 43950, 40494, 13, 16777, 12667, 87454, 11, 520, 264, 30334, 6574, 304, 38269, 11, 11224, 430, 6652, 323, 23223, 527, 1054, 1962, 304, 264, 2361, 1314, 1457, 311, 51696, 389, 264, 6411, 2237, 2029, 1283, 13605, 2697, 10712, 430, 8524, 41305, 291, 304, 279, 549, 815, 13, 6355, 13, 26044, 80766, 11, 279, 5929, 4783, 8612, 12667, 11, 706, 1071, 430, 4491, 13, 3420, 25283, 4491, 13, 21810, 311, 471, 61811, 627, 791, 73100, 2923, 367, 315, 9749, 549, 815, 13, 7362, 4947, 449, 5363, 311, 8524, 617, 67822, 279, 16388, 315, 279, 51424, 11, 304, 3177, 315, 279, 8369, 16630, 7119, 8524, 555, 4900, 3420, 11, 315, 264, 436, 16082, 331, 1133, 304, 549, 815, 12898, 45606, 4398, 13, 8524, 706, 1027, 7649, 549, 815, 13, 9006, 555, 6051, 77157, 279, 9349, 304, 24024, 19278, 11, 323, 1524, 11889, 264, 21930, 8448, 311, 279, 63263, 315, 31461, 13, 763, 2077, 311, 26044, 80766, 753, 4339, 11, 23223, 706, 22824, 2740, 18010, 279, 41180, 315, 13758, 61811, 311, 19278, 627, 83896, 279, 44734, 315, 8096, 40486, 439, 5165, 8398, 24874, 261, 323, 279, 38846, 26681, 927, 20405, 311, 8524, 11, 4900, 3420, 753, 14933, 6322, 16630, 7119, 36011, 21810, 11, 3420, 323, 75280, 753, 20405, 311, 8524, 11, 439, 1664, 439, 279, 4689, 99748, 315, 279, 502, 8735, 311, 9320, 13750, 323, 30820, 11, 311, 2035, 7095, 304, 279, 4339, 315, 279, 1948, 549, 815, 13, 7510, 1053, 387, 71379, 13, 19292, 8524, 374, 539, 3794, 4395, 433, 6944, 520, 279, 892, 430, 433, 6944, 505, 279, 549, 815, 13, 19292, 13, 4452, 11, 19894, 304, 2317, 11, 420, 68480, 1054, 83, 1409, 2136, 863, 1587, 539, 2489, 279, 3335, 13, 2468, 279, 842, 315, 279, 1938, 11, 439, 279, 9349, 304, 19278, 27533, 988, 11, 4900, 3420, 706, 539, 11, 45813, 315, 813, 32858, 439, 264, 4459, 11, 9076, 904, 14509, 4947, 25243, 7119, 8524, 13, 578, 4339, 315, 279, 12667, 315, 3314, 617, 912, 1957, 311, 1203, 1124, 709, 11, 323, 814, 2559, 2403, 279, 72221, 12324, 315, 2802, 430, 23490, 1587, 539, 5030, 304, 1057, 3118, 11477, 8903, 25, 813, 20405, 311, 77127, 44, 29029, 11, 264, 2883, 430, 5675, 400, 2636, 7239, 4245, 311, 24679, 389, 8524, 13, 578, 1510, 26681, 16239, 279, 4846, 5165, 8398, 24874, 261, 21667, 264, 11660, 69437, 449, 279, 8690, 3109, 311, 1207, 1653, 549, 815, 13, 7362, 4947, 11, 520, 3325, 13, 2100, 11, 439, 279, 8735, 13739, 279, 3137, 11, 358, 1097, 17693, 44929, 315, 1202, 15507, 311, 2559, 2403, 8524, 13, 578, 17128, 3966, 311, 20259, 24679, 2403, 8524, 11, 539, 1193, 1555, 11145, 10373, 719, 555, 12899, 13543, 5131, 11223, 304, 8151, 13, 23212, 11, 8151, 3966, 311, 6929, 38189, 555, 24834, 1139, 279, 13537, 1990, 8524, 323, 279, 502, 8735, 627, 2520, 810, 2038, 11, 4587, 4034, 25, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559 ]
[ 128000, 57853, 14248, 2019, 814, 3077, 67638, 291, 279, 5353, 315, 72155, 17301, 430, 14763, 459, 28366, 14458, 2768, 279, 220, 5162, 19, 8681, 28366, 9420, 67818, 11, 279, 2132, 68067, 3596, 12715, 11, 520, 26703, 220, 24, 13, 17, 627, 3648, 828, 369, 21420, 3544, 10814, 359, 309, 285, 520, 264, 8870, 13218, 3221, 24113, 40282, 11, 28366, 5825, 86278, 6029, 311, 12576, 72155, 31397, 10235, 2136, 9045, 2212, 279, 16867, 52479, 13, 35390, 2115, 1816, 304, 28366, 596, 19623, 332, 1122, 23028, 12515, 32, 3831, 38413, 706, 17948, 1022, 279, 13962, 315, 24024, 24922, 11, 719, 7510, 2019, 1070, 374, 912, 6023, 315, 264, 72155, 627, 791, 1917, 2269, 23333, 13673, 71145, 374, 8405, 459, 7524, 22881, 2403, 96802, 38973, 10814, 359, 309, 285, 11, 502, 3495, 5039, 627, 32, 502, 11, 3428, 41238, 22772, 3756, 369, 9581, 2237, 19179, 706, 1027, 8040, 555, 622, 7532, 14248, 13, 578, 1176, 3116, 7766, 617, 1027, 10487, 304, 18157, 323, 34411, 11, 304, 20632, 449, 279, 7665, 9849, 596, 94466, 59082, 12515, 6971, 4628, 369, 264, 72155, 1093, 279, 832, 430, 59097, 11002, 10977, 2391, 264, 220, 679, 16, 40487, 86187, 67818, 11, 35335, 10977, 505, 8013, 19326, 311, 7188, 617, 1027, 90834, 449, 1268, 311, 6144, 1274, 505, 264, 4528, 12515, 32, 220, 21, 13, 21, 1474, 35815, 88470, 4295, 304, 21160, 1022, 24922, 596, 24024, 3646, 17271, 4216, 6740, 11, 86685, 22700, 315, 1274, 11, 34446, 14016, 323, 11889, 94110, 11062, 50387, 505, 10632, 11, 25325, 323, 1524, 264, 8952, 627, 791, 1917, 1253, 539, 387, 1664, 10235, 369, 279, 1828, 5199, 72155, 11, 6821, 67363, 3907, 72155, 6335, 5867, 458, 362, 13, 7777, 278, 304, 264, 502, 4007, 430, 5764, 264, 330, 49143, 5717, 1963, 1, 369, 220, 1114, 10814, 359, 309, 285, 2533, 220, 1049, 19, 627, 51, 40619, 10830, 9819, 2490, 369, 28621, 323, 7188, 1051, 12504, 7950, 2768, 264, 8147, 38413, 1022, 34100, 11, 1418, 9099, 6372, 1051, 12715, 3235, 1080, 12019, 439, 3117, 10411, 439, 28366, 627, 32, 3831, 1234, 37541, 38413, 706, 17948, 1022, 24024, 24922, 11, 719, 1070, 1051, 912, 14247, 6821, 315, 48988, 477, 5674, 323, 912, 72155, 10163, 574, 11136, 13, 128001, 128000, 56339, 389, 7057, 25, 330, 3873, 2114, 79864, 60429, 3579, 7866, 328, 36930, 11, 10807, 926, 11, 328, 3014, 946, 3651, 50621, 44, 15942, 79864, 60429, 3579, 66101, 51968, 36815, 512, 16, 88227, 79864, 60429, 3579, 7866, 328, 36930, 11, 10807, 926, 11, 328, 3014, 946, 3651, 50621, 44, 15942, 79864, 60429, 3579, 198, 17, 328, 36930, 3651, 10807, 26696, 3223, 574, 1511, 555, 893, 439, 832, 315, 279, 30758, 5528, 315, 3691, 46643, 93545, 10979, 323, 46479, 374, 1511, 42817, 304, 10824, 449, 12290, 11, 8104, 369, 13339, 323, 7795, 2027, 815, 3223, 323, 13935, 527, 1005, 42817, 304, 279, 46643, 315, 36581, 2027, 315, 902, 75391, 372, 1941, 11, 74873, 11, 323, 45697, 527, 3062, 10507, 627, 18, 2147, 27712, 5364, 1341, 1308, 33, 6340, 5421, 46787, 3083, 328, 36930, 3651, 10807, 926, 28138, 19159, 264, 1396, 315, 6372, 994, 3779, 311, 7878, 6136, 39881, 48418, 506, 15916, 264, 44010, 20747, 10843, 1957, 389, 3738, 35522, 1113, 8162, 76991, 815, 3223, 1101, 22223, 279, 3090, 5820, 320, 675, 8, 315, 279, 54057, 11, 8617, 26991, 75418, 6650, 555, 264, 1749, 9678, 315, 1202, 21503, 6372, 627, 19, 6515, 3447, 11, 89382, 1645, 5411, 323, 326, 24045, 11, 649, 387, 3118, 304, 34683, 15657, 439, 264, 1121, 315, 13935, 5369, 311, 2536, 12, 809, 28078, 15657, 11, 477, 439, 264, 1121, 315, 75418, 74454, 315, 20438, 62345, 47150, 3447, 617, 1403, 7294, 1474, 83059, 6372, 551, 832, 374, 4245, 311, 872, 2515, 304, 37143, 11, 323, 279, 1023, 374, 279, 3230, 58011, 315, 279, 2073, 1056, 2168, 660, 13935, 902, 24266, 369, 2204, 33969, 627, 20, 328, 3014, 17485, 8734, 527, 6532, 304, 279, 46643, 323, 30847, 315, 7029, 2134, 315, 3691, 3956, 87933, 315, 279, 810, 4279, 2997, 551, 90398, 11, 503, 616, 552, 11, 14098, 23661, 99005, 11, 10437, 6901, 75826, 14403, 51861, 70913, 527, 3779, 311, 15657, 304, 1579, 20545, 320, 266, 3325, 220, 1272, 4, 88045, 82486, 705, 1063, 315, 279, 3090, 3118, 9221, 36087, 369, 75418, 6650, 323, 279, 1384, 315, 279, 3691, 374, 11293, 627, 21, 50621, 44, 15942, 79864, 60429, 835, 5482, 2057, 387, 304, 14902, 449, 1695, 15266, 12659, 11, 279, 1005, 315, 1685, 79629, 551, 15346, 539, 1121, 304, 64575, 27791, 539, 69214, 7958, 279, 69714, 535, 907, 315, 279, 3691, 27791, 539, 11810, 279, 6650, 315, 3691, 75488, 3416, 287, 44304, 1418, 98795, 6650, 315, 279, 3885, 430, 1053, 1304, 65893, 425, 30576, 627, 22, 36424, 1685, 79629, 24822, 46643, 527, 83778, 324, 40589, 320, 14202, 17, 705, 3399, 13028, 988, 11, 323, 25551, 65, 988, 13, 578, 15374, 315, 11742, 1685, 79629, 14117, 15871, 389, 279, 20545, 315, 279, 1685, 54268, 11, 279, 18528, 315, 279, 3691, 11, 323, 279, 955, 315, 44304, 311, 387, 99669, 627, 23, 578, 20545, 315, 1685, 54268, 15480, 555, 3691, 14640, 13, 1102, 374, 7718, 430, 279, 53499, 5848, 7187, 315, 279, 3691, 311, 387, 34683, 374, 8774, 311, 264, 8187, 555, 6409, 88364, 292, 11850, 323, 8863, 13, 128001, 128000, 3915, 279, 41582, 315, 5403, 323, 4477, 311, 8830, 872, 2361, 2949, 279, 1917, 11, 279, 6156, 2978, 30676, 14861, 264, 2763, 315, 5015, 304, 8254, 2875, 1667, 627, 1110, 34754, 2380, 4613, 18094, 11, 433, 5764, 264, 5357, 389, 279, 4330, 3682, 6975, 5789, 315, 6498, 11, 50895, 11, 10170, 11, 11346, 323, 84425, 11, 1418, 6376, 709, 279, 7512, 369, 701, 1716, 311, 4726, 13488, 22622, 6975, 304, 1579, 2978, 627, 8586, 753, 264, 8641, 311, 1148, 701, 1716, 47310, 2391, 279, 4613, 18094, 315, 6156, 2978, 627, 10854, 48672, 1389, 23591, 6975, 22891, 220, 16, 198, 10854, 48672, 374, 439, 1790, 922, 11537, 3876, 701, 1716, 449, 279, 4623, 315, 2978, 439, 433, 374, 922, 31692, 279, 2926, 4857, 10215, 315, 6975, 627, 5001, 17890, 439, 4216, 6566, 220, 16, 6975, 433, 24400, 2212, 4330, 6975, 20124, 512, 16, 15394, 617, 264, 3831, 5647, 315, 9764, 627, 17, 15394, 527, 8599, 449, 323, 17210, 311, 872, 1917, 627, 18, 15394, 617, 264, 3831, 5647, 315, 57930, 627, 19, 15394, 527, 16913, 323, 6532, 53243, 627, 20, 15394, 527, 7524, 6057, 3046, 627, 43061, 420, 1060, 2911, 4048, 922, 10578, 11, 12197, 323, 4477, 11, 1418, 31687, 389, 62603, 13, 2435, 690, 387, 21190, 311, 2274, 36870, 10758, 7512, 323, 3719, 4642, 24475, 627, 7009, 690, 1101, 13488, 5219, 2737, 30090, 323, 37072, 18841, 11, 1418, 6975, 922, 872, 5933, 4676, 439, 279, 8197, 369, 8198, 627, 15547, 323, 4443, 53210, 527, 36131, 311, 11537, 1082, 2911, 449, 3925, 11, 323, 1268, 323, 1405, 1274, 3974, 7739, 279, 4857, 10215, 315, 54242, 627, 24205, 538, 291, 439, 22891, 220, 16, 6975, 11, 23116, 220, 16, 323, 220, 17, 22890, 389, 279, 4221, 323, 35876, 7512, 63260, 304, 68223, 13, 362, 3831, 5357, 8625, 389, 5403, 323, 4477, 439, 2911, 13488, 810, 6485, 22755, 323, 5439, 9256, 627, 8991, 34805, 24400, 389, 279, 4221, 11, 6299, 323, 18210, 315, 71808, 304, 18254, 2324, 11, 1418, 1701, 15174, 11, 19179, 323, 7576, 311, 11294, 37072, 20124, 13, 15394, 527, 15246, 311, 810, 6485, 37072, 9256, 1093, 13096, 11, 65995, 11, 21483, 11, 3148, 323, 892, 2391, 420, 6566, 627, 36500, 18065, 3411, 311, 279, 4676, 2212, 1124, 323, 42687, 5933, 55890, 323, 279, 1648, 6302, 16681, 13, 1102, 4726, 41424, 1268, 3673, 527, 5918, 369, 3230, 10096, 5552, 311, 872, 4676, 627, 26054, 3925, 706, 264, 5357, 389, 872, 2254, 4029, 11, 5199, 7634, 323, 4455, 11, 323, 54242, 41424, 279, 4519, 315, 2254, 12908, 323, 1268, 1274, 16988, 449, 1124, 627, 2409, 89328, 4477, 323, 37072, 7512, 1234, 872, 19671, 11, 2911, 527, 21190, 311, 13488, 872, 6975, 4726, 6957, 279, 22891, 220, 17, 12914, 627, 16397, 1521, 1403, 1667, 2911, 5357, 389, 48929, 11, 92809, 11, 323, 4726, 32528, 323, 62603, 11, 3235, 449, 1701, 2204, 5557, 311, 4686, 4477, 9256, 627, 8991, 34805, 2289, 311, 828, 11, 47976, 323, 27030, 11, 3235, 449, 810, 6485, 47544, 323, 13096, 13, 2435, 527, 1101, 21190, 311, 1781, 304, 1403, 15696, 323, 2380, 627, 44924, 11, 3634, 323, 5918, 22484, 527, 4315, 279, 13650, 9960, 439, 814, 9407, 872, 12624, 6677, 1418, 1101, 3318, 449, 5557, 627, 13730, 2289, 311, 1176, 19015, 323, 1323, 72669, 11, 1418, 54242, 14861, 279, 9578, 753, 4676, 323, 1268, 281, 2492, 649, 387, 4528, 3686, 2204, 627, 644, 872, 1620, 1667, 315, 6156, 2978, 11, 6666, 10800, 311, 9678, 990, 12659, 439, 1664, 439, 3318, 304, 5315, 311, 4686, 7224, 627, 32999, 8625, 264, 3682, 16665, 315, 279, 30676, 11, 719, 2911, 527, 21190, 311, 1005, 4221, 304, 5627, 430, 46276, 3686, 6179, 13, 4800, 5403, 1101, 5952, 5014, 2204, 3585, 315, 1684, 323, 46480, 1268, 311, 1376, 459, 5811, 1555, 3495, 627, 1383, 279, 842, 315, 420, 6566, 4236, 690, 1101, 617, 264, 8205, 315, 37072, 7526, 1234, 872, 19671, 902, 2187, 1124, 311, 1376, 26018, 323, 69152, 2204, 15174, 311, 11322, 3135, 13, 2435, 690, 387, 7669, 519, 304, 37072, 4221, 11, 323, 387, 3025, 311, 7234, 828, 323, 3135, 11, 1418, 1101, 14892, 449, 19463, 627, 36500, 1101, 5764, 264, 5357, 389, 35977, 20124, 11, 449, 4236, 1578, 3318, 29235, 323, 304, 5315, 311, 6929, 21896, 11, 1376, 26018, 323, 31990, 20124, 13, 578, 5933, 323, 1903, 22484, 527, 279, 8197, 369, 1790, 315, 420, 6975, 11, 323, 872, 8830, 315, 5557, 323, 1202, 2955, 1101, 12992, 13, 2435, 9616, 323, 49229, 6302, 3196, 389, 872, 6012, 311, 8417, 872, 1005, 627, 13730, 374, 9960, 449, 459, 13673, 323, 3728, 2317, 11, 33459, 505, 37683, 11704, 311, 28331, 11, 15443, 323, 279, 39678, 3217, 13, 9538, 11243, 527, 1511, 311, 9676, 4455, 627, 26054, 11, 54242, 37167, 279, 8830, 315, 17226, 17910, 315, 22484, 4028, 2254, 323, 3728, 29505, 13, 12220, 420, 6566, 814, 1005, 15174, 311, 6667, 11, 10765, 323, 3335, 828, 430, 36716, 311, 872, 4676, 627, 791, 6156, 2978, 1667, 2187, 2911, 311, 13488, 28744, 304, 12976, 311, 872, 3217, 315, 279, 1917, 11, 4857, 264, 810, 3728, 6945, 323, 19662, 8830, 439, 814, 5208, 1555, 279, 1667, 13, 3296, 279, 842, 4236, 527, 19167, 311, 387, 9678, 69122, 323, 1912, 20965, 11, 10235, 311, 1935, 389, 279, 810, 17436, 9256, 315, 1579, 2978, 13, 128001 ]
[ -100, 57853, 14248, 2019, 814, 3077, 67638, 291, 279, 5353, 315, 72155, 17301, 430, 14763, 459, 28366, 14458, 2768, 279, 220, 5162, 19, 8681, 28366, 9420, 67818, 11, 279, 2132, 68067, 3596, 12715, 11, 520, 26703, 220, 24, 13, 17, 627, 3648, 828, 369, 21420, 3544, 10814, 359, 309, 285, 520, 264, 8870, 13218, 3221, 24113, 40282, 11, 28366, 5825, 86278, 6029, 311, 12576, 72155, 31397, 10235, 2136, 9045, 2212, 279, 16867, 52479, 13, 35390, 2115, 1816, 304, 28366, 596, 19623, 332, 1122, 23028, 12515, 32, 3831, 38413, 706, 17948, 1022, 279, 13962, 315, 24024, 24922, 11, 719, 7510, 2019, 1070, 374, 912, 6023, 315, 264, 72155, 627, 791, 1917, 2269, 23333, 13673, 71145, 374, 8405, 459, 7524, 22881, 2403, 96802, 38973, 10814, 359, 309, 285, 11, 502, 3495, 5039, 627, 32, 502, 11, 3428, 41238, 22772, 3756, 369, 9581, 2237, 19179, 706, 1027, 8040, 555, 622, 7532, 14248, 13, 578, 1176, 3116, 7766, 617, 1027, 10487, 304, 18157, 323, 34411, 11, 304, 20632, 449, 279, 7665, 9849, 596, 94466, 59082, 12515, 6971, 4628, 369, 264, 72155, 1093, 279, 832, 430, 59097, 11002, 10977, 2391, 264, 220, 679, 16, 40487, 86187, 67818, 11, 35335, 10977, 505, 8013, 19326, 311, 7188, 617, 1027, 90834, 449, 1268, 311, 6144, 1274, 505, 264, 4528, 12515, 32, 220, 21, 13, 21, 1474, 35815, 88470, 4295, 304, 21160, 1022, 24922, 596, 24024, 3646, 17271, 4216, 6740, 11, 86685, 22700, 315, 1274, 11, 34446, 14016, 323, 11889, 94110, 11062, 50387, 505, 10632, 11, 25325, 323, 1524, 264, 8952, 627, 791, 1917, 1253, 539, 387, 1664, 10235, 369, 279, 1828, 5199, 72155, 11, 6821, 67363, 3907, 72155, 6335, 5867, 458, 362, 13, 7777, 278, 304, 264, 502, 4007, 430, 5764, 264, 330, 49143, 5717, 1963, 1, 369, 220, 1114, 10814, 359, 309, 285, 2533, 220, 1049, 19, 627, 51, 40619, 10830, 9819, 2490, 369, 28621, 323, 7188, 1051, 12504, 7950, 2768, 264, 8147, 38413, 1022, 34100, 11, 1418, 9099, 6372, 1051, 12715, 3235, 1080, 12019, 439, 3117, 10411, 439, 28366, 627, 32, 3831, 1234, 37541, 38413, 706, 17948, 1022, 24024, 24922, 11, 719, 1070, 1051, 912, 14247, 6821, 315, 48988, 477, 5674, 323, 912, 72155, 10163, 574, 11136, 13, 128001, -100, 56339, 389, 7057, 25, 330, 3873, 2114, 79864, 60429, 3579, 7866, 328, 36930, 11, 10807, 926, 11, 328, 3014, 946, 3651, 50621, 44, 15942, 79864, 60429, 3579, 66101, 51968, 36815, 512, 16, 88227, 79864, 60429, 3579, 7866, 328, 36930, 11, 10807, 926, 11, 328, 3014, 946, 3651, 50621, 44, 15942, 79864, 60429, 3579, 198, 17, 328, 36930, 3651, 10807, 26696, 3223, 574, 1511, 555, 893, 439, 832, 315, 279, 30758, 5528, 315, 3691, 46643, 93545, 10979, 323, 46479, 374, 1511, 42817, 304, 10824, 449, 12290, 11, 8104, 369, 13339, 323, 7795, 2027, 815, 3223, 323, 13935, 527, 1005, 42817, 304, 279, 46643, 315, 36581, 2027, 315, 902, 75391, 372, 1941, 11, 74873, 11, 323, 45697, 527, 3062, 10507, 627, 18, 2147, 27712, 5364, 1341, 1308, 33, 6340, 5421, 46787, 3083, 328, 36930, 3651, 10807, 926, 28138, 19159, 264, 1396, 315, 6372, 994, 3779, 311, 7878, 6136, 39881, 48418, 506, 15916, 264, 44010, 20747, 10843, 1957, 389, 3738, 35522, 1113, 8162, 76991, 815, 3223, 1101, 22223, 279, 3090, 5820, 320, 675, 8, 315, 279, 54057, 11, 8617, 26991, 75418, 6650, 555, 264, 1749, 9678, 315, 1202, 21503, 6372, 627, 19, 6515, 3447, 11, 89382, 1645, 5411, 323, 326, 24045, 11, 649, 387, 3118, 304, 34683, 15657, 439, 264, 1121, 315, 13935, 5369, 311, 2536, 12, 809, 28078, 15657, 11, 477, 439, 264, 1121, 315, 75418, 74454, 315, 20438, 62345, 47150, 3447, 617, 1403, 7294, 1474, 83059, 6372, 551, 832, 374, 4245, 311, 872, 2515, 304, 37143, 11, 323, 279, 1023, 374, 279, 3230, 58011, 315, 279, 2073, 1056, 2168, 660, 13935, 902, 24266, 369, 2204, 33969, 627, 20, 328, 3014, 17485, 8734, 527, 6532, 304, 279, 46643, 323, 30847, 315, 7029, 2134, 315, 3691, 3956, 87933, 315, 279, 810, 4279, 2997, 551, 90398, 11, 503, 616, 552, 11, 14098, 23661, 99005, 11, 10437, 6901, 75826, 14403, 51861, 70913, 527, 3779, 311, 15657, 304, 1579, 20545, 320, 266, 3325, 220, 1272, 4, 88045, 82486, 705, 1063, 315, 279, 3090, 3118, 9221, 36087, 369, 75418, 6650, 323, 279, 1384, 315, 279, 3691, 374, 11293, 627, 21, 50621, 44, 15942, 79864, 60429, 835, 5482, 2057, 387, 304, 14902, 449, 1695, 15266, 12659, 11, 279, 1005, 315, 1685, 79629, 551, 15346, 539, 1121, 304, 64575, 27791, 539, 69214, 7958, 279, 69714, 535, 907, 315, 279, 3691, 27791, 539, 11810, 279, 6650, 315, 3691, 75488, 3416, 287, 44304, 1418, 98795, 6650, 315, 279, 3885, 430, 1053, 1304, 65893, 425, 30576, 627, 22, 36424, 1685, 79629, 24822, 46643, 527, 83778, 324, 40589, 320, 14202, 17, 705, 3399, 13028, 988, 11, 323, 25551, 65, 988, 13, 578, 15374, 315, 11742, 1685, 79629, 14117, 15871, 389, 279, 20545, 315, 279, 1685, 54268, 11, 279, 18528, 315, 279, 3691, 11, 323, 279, 955, 315, 44304, 311, 387, 99669, 627, 23, 578, 20545, 315, 1685, 54268, 15480, 555, 3691, 14640, 13, 1102, 374, 7718, 430, 279, 53499, 5848, 7187, 315, 279, 3691, 311, 387, 34683, 374, 8774, 311, 264, 8187, 555, 6409, 88364, 292, 11850, 323, 8863, 13, 128001, -100, 3915, 279, 41582, 315, 5403, 323, 4477, 311, 8830, 872, 2361, 2949, 279, 1917, 11, 279, 6156, 2978, 30676, 14861, 264, 2763, 315, 5015, 304, 8254, 2875, 1667, 627, 1110, 34754, 2380, 4613, 18094, 11, 433, 5764, 264, 5357, 389, 279, 4330, 3682, 6975, 5789, 315, 6498, 11, 50895, 11, 10170, 11, 11346, 323, 84425, 11, 1418, 6376, 709, 279, 7512, 369, 701, 1716, 311, 4726, 13488, 22622, 6975, 304, 1579, 2978, 627, 8586, 753, 264, 8641, 311, 1148, 701, 1716, 47310, 2391, 279, 4613, 18094, 315, 6156, 2978, 627, 10854, 48672, 1389, 23591, 6975, 22891, 220, 16, 198, 10854, 48672, 374, 439, 1790, 922, 11537, 3876, 701, 1716, 449, 279, 4623, 315, 2978, 439, 433, 374, 922, 31692, 279, 2926, 4857, 10215, 315, 6975, 627, 5001, 17890, 439, 4216, 6566, 220, 16, 6975, 433, 24400, 2212, 4330, 6975, 20124, 512, 16, 15394, 617, 264, 3831, 5647, 315, 9764, 627, 17, 15394, 527, 8599, 449, 323, 17210, 311, 872, 1917, 627, 18, 15394, 617, 264, 3831, 5647, 315, 57930, 627, 19, 15394, 527, 16913, 323, 6532, 53243, 627, 20, 15394, 527, 7524, 6057, 3046, 627, 43061, 420, 1060, 2911, 4048, 922, 10578, 11, 12197, 323, 4477, 11, 1418, 31687, 389, 62603, 13, 2435, 690, 387, 21190, 311, 2274, 36870, 10758, 7512, 323, 3719, 4642, 24475, 627, 7009, 690, 1101, 13488, 5219, 2737, 30090, 323, 37072, 18841, 11, 1418, 6975, 922, 872, 5933, 4676, 439, 279, 8197, 369, 8198, 627, 15547, 323, 4443, 53210, 527, 36131, 311, 11537, 1082, 2911, 449, 3925, 11, 323, 1268, 323, 1405, 1274, 3974, 7739, 279, 4857, 10215, 315, 54242, 627, 24205, 538, 291, 439, 22891, 220, 16, 6975, 11, 23116, 220, 16, 323, 220, 17, 22890, 389, 279, 4221, 323, 35876, 7512, 63260, 304, 68223, 13, 362, 3831, 5357, 8625, 389, 5403, 323, 4477, 439, 2911, 13488, 810, 6485, 22755, 323, 5439, 9256, 627, 8991, 34805, 24400, 389, 279, 4221, 11, 6299, 323, 18210, 315, 71808, 304, 18254, 2324, 11, 1418, 1701, 15174, 11, 19179, 323, 7576, 311, 11294, 37072, 20124, 13, 15394, 527, 15246, 311, 810, 6485, 37072, 9256, 1093, 13096, 11, 65995, 11, 21483, 11, 3148, 323, 892, 2391, 420, 6566, 627, 36500, 18065, 3411, 311, 279, 4676, 2212, 1124, 323, 42687, 5933, 55890, 323, 279, 1648, 6302, 16681, 13, 1102, 4726, 41424, 1268, 3673, 527, 5918, 369, 3230, 10096, 5552, 311, 872, 4676, 627, 26054, 3925, 706, 264, 5357, 389, 872, 2254, 4029, 11, 5199, 7634, 323, 4455, 11, 323, 54242, 41424, 279, 4519, 315, 2254, 12908, 323, 1268, 1274, 16988, 449, 1124, 627, 2409, 89328, 4477, 323, 37072, 7512, 1234, 872, 19671, 11, 2911, 527, 21190, 311, 13488, 872, 6975, 4726, 6957, 279, 22891, 220, 17, 12914, 627, 16397, 1521, 1403, 1667, 2911, 5357, 389, 48929, 11, 92809, 11, 323, 4726, 32528, 323, 62603, 11, 3235, 449, 1701, 2204, 5557, 311, 4686, 4477, 9256, 627, 8991, 34805, 2289, 311, 828, 11, 47976, 323, 27030, 11, 3235, 449, 810, 6485, 47544, 323, 13096, 13, 2435, 527, 1101, 21190, 311, 1781, 304, 1403, 15696, 323, 2380, 627, 44924, 11, 3634, 323, 5918, 22484, 527, 4315, 279, 13650, 9960, 439, 814, 9407, 872, 12624, 6677, 1418, 1101, 3318, 449, 5557, 627, 13730, 2289, 311, 1176, 19015, 323, 1323, 72669, 11, 1418, 54242, 14861, 279, 9578, 753, 4676, 323, 1268, 281, 2492, 649, 387, 4528, 3686, 2204, 627, 644, 872, 1620, 1667, 315, 6156, 2978, 11, 6666, 10800, 311, 9678, 990, 12659, 439, 1664, 439, 3318, 304, 5315, 311, 4686, 7224, 627, 32999, 8625, 264, 3682, 16665, 315, 279, 30676, 11, 719, 2911, 527, 21190, 311, 1005, 4221, 304, 5627, 430, 46276, 3686, 6179, 13, 4800, 5403, 1101, 5952, 5014, 2204, 3585, 315, 1684, 323, 46480, 1268, 311, 1376, 459, 5811, 1555, 3495, 627, 1383, 279, 842, 315, 420, 6566, 4236, 690, 1101, 617, 264, 8205, 315, 37072, 7526, 1234, 872, 19671, 902, 2187, 1124, 311, 1376, 26018, 323, 69152, 2204, 15174, 311, 11322, 3135, 13, 2435, 690, 387, 7669, 519, 304, 37072, 4221, 11, 323, 387, 3025, 311, 7234, 828, 323, 3135, 11, 1418, 1101, 14892, 449, 19463, 627, 36500, 1101, 5764, 264, 5357, 389, 35977, 20124, 11, 449, 4236, 1578, 3318, 29235, 323, 304, 5315, 311, 6929, 21896, 11, 1376, 26018, 323, 31990, 20124, 13, 578, 5933, 323, 1903, 22484, 527, 279, 8197, 369, 1790, 315, 420, 6975, 11, 323, 872, 8830, 315, 5557, 323, 1202, 2955, 1101, 12992, 13, 2435, 9616, 323, 49229, 6302, 3196, 389, 872, 6012, 311, 8417, 872, 1005, 627, 13730, 374, 9960, 449, 459, 13673, 323, 3728, 2317, 11, 33459, 505, 37683, 11704, 311, 28331, 11, 15443, 323, 279, 39678, 3217, 13, 9538, 11243, 527, 1511, 311, 9676, 4455, 627, 26054, 11, 54242, 37167, 279, 8830, 315, 17226, 17910, 315, 22484, 4028, 2254, 323, 3728, 29505, 13, 12220, 420, 6566, 814, 1005, 15174, 311, 6667, 11, 10765, 323, 3335, 828, 430, 36716, 311, 872, 4676, 627, 791, 6156, 2978, 1667, 2187, 2911, 311, 13488, 28744, 304, 12976, 311, 872, 3217, 315, 279, 1917, 11, 4857, 264, 810, 3728, 6945, 323, 19662, 8830, 439, 814, 5208, 1555, 279, 1667, 13, 3296, 279, 842, 4236, 527, 19167, 311, 387, 9678, 69122, 323, 1912, 20965, 11, 10235, 311, 1935, 389, 279, 810, 17436, 9256, 315, 1579, 2978, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 1844, 13066, 79090, 21579, 11799, 19723, 198, 17490, 220, 22, 765, 50015, 220, 20, 13, 16, 198, 12, 71994, 323, 2980, 10877, 1156, 804, 3614, 369, 29060, 198, 12, 83017, 11, 47032, 11, 323, 19570, 701, 3135, 369, 2204, 4595, 315, 2626, 39210, 198, 12, 20796, 553, 279, 3135, 315, 459, 6492, 304, 6771, 2933, 198, 10438, 420, 18228, 11, 499, 1288, 2736, 387, 3025, 311, 512, 12, 4324, 40099, 323, 24858, 19826, 304, 6771, 2933, 198, 12, 50935, 264, 62029, 198, 10438, 420, 18228, 11, 54918, 690, 1205, 311, 512, 12, 20400, 264, 10015, 15332, 9722, 198, 12, 4324, 264, 6771, 2933, 27906, 449, 279, 828, 198, 12, 40665, 4236, 449, 5217, 5070, 198, 12, 35527, 1288, 387, 38018, 439, 264, 1162, 4007, 11, 449, 279, 8244, 1162, 11784, 323, 279, 1817, 22610, 520, 279, 3927, 14491, 627, 91, 605, 1332, 8651, 52398, 8651, 5005, 6714, 1148, 596, 3062, 7511, 91, 605, 1332, 8651, 38255, 8651, 4438, 656, 584, 4820, 1555, 459, 6492, 30, 7511, 91, 508, 1332, 8651, 77921, 28082, 25, 11360, 220, 16, 8651, 4110, 264, 27906, 7511, 91, 508, 1332, 8651, 77921, 28082, 25, 11360, 220, 17, 8651, 4110, 264, 27906, 7511, 91, 508, 1332, 8651, 77921, 28082, 25, 11360, 220, 18, 8651, 4110, 264, 27906, 7511, 52398, 320, 605, 25876, 340, 12, 30834, 264, 2626, 3187, 315, 32644, 279, 3135, 315, 701, 6492, 198, 12, 18657, 25, 9176, 29509, 2834, 956, 1440, 1268, 311, 958, 80213, 701, 3135, 11, 1268, 656, 499, 4141, 704, 1148, 596, 3062, 5380, 12, 68301, 311, 279, 12939, 315, 42148, 198, 12, 6649, 349, 13650, 311, 279, 2956, 10170, 61273, 198, 4061, 25, 21069, 4236, 311, 7124, 11, 10552, 11, 477, 19635, 904, 9959, 864, 1816, 19476, 627, 38255, 25, 2493, 37794, 612, 62029, 11799, 19723, 320, 605, 25876, 340, 22818, 7257, 88937, 828, 389, 279, 24025, 922, 549, 815, 13, 48458, 369, 7552, 11, 220, 679, 20, 26, 1495, 8863, 323, 27065, 6492, 574, 13375, 389, 459, 4113, 10550, 315, 220, 1135, 11, 931, 24025, 311, 3619, 6130, 27065, 922, 48458, 13, 4314, 4113, 220, 1135, 11, 931, 3585, 1051, 35526, 1523, 311, 220, 868, 11, 931, 311, 8881, 28347, 323, 21813, 1193, 4367, 828, 627, 22818, 7154, 220, 868, 11, 931, 24025, 11, 264, 27065, 6492, 574, 13375, 311, 958, 716, 295, 323, 3619, 16024, 7119, 2204, 48458, 13, 33260, 16155, 304, 10344, 574, 1511, 311, 43530, 279, 27065, 439, 1664, 439, 279, 12410, 627, 791, 6492, 7111, 520, 24025, 922, 4848, 3682, 2326, 48458, 26, 3778, 11, 46785, 11, 3723, 11, 26002, 11, 46785, 11, 549, 815, 13, 70502, 11, 323, 11463, 5270, 11, 2391, 279, 3388, 315, 7552, 11, 220, 679, 20, 13, 578, 2612, 5727, 279, 2768, 7482, 512, 12, 12072, 851, 25, 362, 5016, 13110, 369, 1855, 12072, 198, 12, 33575, 25084, 3904, 25, 578, 27065, 11, 449, 11709, 330, 60668, 2247, 31587, 498, 477, 330, 43324, 23811, 12, 33575, 25084, 3904, 16445, 7232, 25, 9580, 315, 12410, 304, 279, 15632, 198, 12, 4277, 20053, 486, 1525, 25, 51957, 4068, 11, 422, 433, 649, 387, 42645, 291, 198, 12, 4277, 20053, 486, 1525, 16445, 7232, 25, 9580, 315, 12410, 369, 422, 279, 12072, 374, 304, 2144, 8389, 477, 539, 198, 12, 33575, 25, 578, 836, 315, 279, 33575, 198, 12, 836, 25, 578, 23068, 3790, 315, 279, 1217, 198, 12, 1495, 25, 578, 1495, 315, 279, 12072, 198, 12, 12536, 25, 26045, 13448, 311, 60926, 4729, 198, 12, 50935, 70994, 59454, 315, 24025, 3060, 4339, 2754, 306, 3904, 477, 198, 12, 12362, 279, 3135, 315, 279, 6492, 11, 1893, 264, 6771, 2933, 28065, 430, 46480, 279, 828, 627, 6153, 4102, 11, 10772, 264, 10015, 12399, 369, 1855, 315, 1521, 1401, 39210, 512, 791, 3016, 11, 889, 6944, 311, 43395, 3619, 11761, 27065, 198, 12, 4718, 13697, 11, 889, 6944, 311, 3619, 279, 1920, 198, 49828, 7316, 279, 70636, 7482, 311, 25031, 323, 6929, 264, 37409, 1219, 621, 519, 18825, 389, 279, 828, 627, 77921, 28082, 25, 19139, 701, 27906, 320, 508, 4520, 340, 7184, 11, 433, 596, 892, 311, 636, 311, 990, 0, 5377, 709, 701, 2373, 315, 6771, 2933, 11, 4232, 279, 828, 11, 323, 636, 3940, 4999, 7927, 6493, 4893, 1288, 387, 512, 12, 362, 8220, 6771, 2933, 28065, 311, 3118, 311, 279, 3016, 198, 12, 9220, 70022, 26, 832, 369, 279, 3016, 11, 323, 832, 369, 701, 13697, 198, 2520, 420, 3857, 11, 4667, 311, 701, 828, 2592, 323, 1893, 701, 29217, 430, 690, 1629, 304, 279, 4092, 315, 701, 28065, 627, 77921, 28082, 482, 11360, 220, 17, 25, 10435, 701, 27906, 32255, 320, 508, 4520, 340, 7184, 11, 1095, 596, 8314, 10743, 709, 430, 28065, 264, 2766, 13, 5810, 527, 2574, 311, 1427, 369, 512, 12, 2209, 701, 28065, 958, 1413, 5380, 12, 3053, 264, 1217, 33137, 1990, 9382, 323, 7482, 30, 8886, 5540, 315, 40099, 2288, 39313, 5380, 12, 2650, 311, 701, 40099, 68608, 3871, 311, 3371, 264, 3446, 30, 2209, 1070, 4205, 430, 5084, 704, 315, 2035, 5380, 77921, 28082, 482, 11360, 220, 18, 25, 27740, 701, 27906, 320, 508, 4520, 340, 7184, 430, 499, 617, 264, 44461, 28065, 11, 433, 596, 892, 311, 3118, 433, 0, 6193, 279, 3388, 315, 279, 1828, 220, 508, 4520, 11, 3118, 701, 28065, 323, 433, 596, 79236, 11, 323, 10552, 279, 29217, 92937, 2508, 4920, 701, 8220, 2027, 627, 44534, 320, 20, 25876, 340, 12, 37770, 19826, 617, 264, 7029, 4666, 2968, 369, 264, 8205, 315, 1005, 24857, 198, 12, 66240, 287, 323, 66251, 4954, 701, 828, 459, 3062, 13189, 315, 279, 828, 8198, 1920, 198, 12, 27906, 287, 374, 264, 21420, 961, 315, 279, 828, 8198, 29388, 304, 264, 2626, 50364, 442, 306, 13, 58733, 1268, 311, 1893, 832, 449, 264, 5507, 1093, 6771, 2933, 690, 2187, 499, 311, 10552, 701, 828, 323, 6492, 4062, 3258, 323, 30820, 627, 12, 6771, 2933, 374, 459, 3596, 18882, 26673, 828, 42148, 5507, 430, 374, 15525, 304, 279, 30633, 198, 12, 2956, 42148, 374, 4062, 3258, 387, 3705, 287, 264, 2115, 389, 1202, 1866, 482, 6975, 1268, 311, 1893, 264, 8915, 42148, 6261, 374, 264, 24629, 10151, 128001, 128000, 32, 12411, 26545, 9849, 11011, 389, 4272, 52864, 574, 37883, 7950, 555, 264, 13054, 6023, 11, 4184, 311, 4756, 6821, 13, 578, 38676, 16626, 220, 18, 12, 17, 7950, 311, 40679, 264, 743, 315, 7757, 14640, 45925, 3967, 439, 330, 4816, 52864, 1, 430, 1051, 44977, 304, 220, 679, 20, 627, 10378, 1097, 1694, 26160, 555, 4868, 430, 584, 527, 2133, 311, 617, 311, 1935, 264, 1464, 2476, 38676, 9849, 27390, 41757, 275, 88614, 73170, 3309, 279, 10877, 520, 279, 11011, 11, 279, 13690, 57168, 5068, 627, 5971, 11, 264, 4868, 7771, 54945, 3309, 5127, 311, 4974, 279, 4857, 323, 5387, 872, 64028, 304, 279, 38676, 53279, 13, 1556, 32853, 311, 264, 12396, 4562, 3309, 578, 13690, 57168, 430, 264, 13054, 6023, 574, 2663, 1139, 279, 5274, 13, 45863, 11, 279, 6023, 16717, 264, 10015, 5756, 574, 922, 311, 16135, 627, 57853, 4379, 323, 5623, 76550, 3168, 287, 12875, 48548, 279, 3130, 11, 323, 5127, 574, 5535, 311, 471, 311, 279, 53279, 1306, 922, 220, 605, 4520, 11, 4184, 311, 279, 13690, 15219, 627, 3923, 1587, 279, 38676, 7055, 3152, 5380, 791, 38676, 596, 17864, 6276, 7757, 2532, 12850, 311, 60541, 389, 279, 8197, 315, 3430, 323, 4732, 13, 1115, 3445, 430, 81694, 690, 1457, 387, 5535, 311, 6900, 5190, 7729, 323, 5255, 43266, 25753, 369, 5190, 34494, 8522, 323, 842, 3932, 627, 65358, 1233, 315, 279, 5718, 18046, 430, 4272, 52864, 3727, 279, 7757, 810, 11646, 369, 4827, 34494, 3932, 323, 1101, 92326, 645, 2225, 279, 4500, 315, 502, 7757, 8522, 323, 9341, 304, 7757, 14054, 627, 28055, 279, 7055, 11, 279, 38676, 21892, 1071, 7757, 3932, 690, 1518, 2697, 6811, 627, 2118, 92786, 690, 2103, 387, 3025, 311, 2680, 279, 13335, 814, 1390, 311, 4034, 1359, 88614, 1071, 13, 330, 7009, 690, 2103, 387, 3025, 311, 4774, 279, 3600, 814, 1390, 311, 4774, 10246, 15546, 775, 16475, 279, 38676, 7055, 5380, 34710, 1884, 31322, 279, 40679, 1051, 24005, 315, 17681, 11, 323, 5195, 323, 5690, 11, 279, 13690, 15219, 5068, 13, 40741, 6696, 5315, 323, 11761, 28424, 527, 9293, 264, 5897, 8815, 311, 2567, 279, 2362, 5718, 304, 2035, 13, 128001 ]
[ -100, 1844, 13066, 79090, 21579, 11799, 19723, 198, 17490, 220, 22, 765, 50015, 220, 20, 13, 16, 198, 12, 71994, 323, 2980, 10877, 1156, 804, 3614, 369, 29060, 198, 12, 83017, 11, 47032, 11, 323, 19570, 701, 3135, 369, 2204, 4595, 315, 2626, 39210, 198, 12, 20796, 553, 279, 3135, 315, 459, 6492, 304, 6771, 2933, 198, 10438, 420, 18228, 11, 499, 1288, 2736, 387, 3025, 311, 512, 12, 4324, 40099, 323, 24858, 19826, 304, 6771, 2933, 198, 12, 50935, 264, 62029, 198, 10438, 420, 18228, 11, 54918, 690, 1205, 311, 512, 12, 20400, 264, 10015, 15332, 9722, 198, 12, 4324, 264, 6771, 2933, 27906, 449, 279, 828, 198, 12, 40665, 4236, 449, 5217, 5070, 198, 12, 35527, 1288, 387, 38018, 439, 264, 1162, 4007, 11, 449, 279, 8244, 1162, 11784, 323, 279, 1817, 22610, 520, 279, 3927, 14491, 627, 91, 605, 1332, 8651, 52398, 8651, 5005, 6714, 1148, 596, 3062, 7511, 91, 605, 1332, 8651, 38255, 8651, 4438, 656, 584, 4820, 1555, 459, 6492, 30, 7511, 91, 508, 1332, 8651, 77921, 28082, 25, 11360, 220, 16, 8651, 4110, 264, 27906, 7511, 91, 508, 1332, 8651, 77921, 28082, 25, 11360, 220, 17, 8651, 4110, 264, 27906, 7511, 91, 508, 1332, 8651, 77921, 28082, 25, 11360, 220, 18, 8651, 4110, 264, 27906, 7511, 52398, 320, 605, 25876, 340, 12, 30834, 264, 2626, 3187, 315, 32644, 279, 3135, 315, 701, 6492, 198, 12, 18657, 25, 9176, 29509, 2834, 956, 1440, 1268, 311, 958, 80213, 701, 3135, 11, 1268, 656, 499, 4141, 704, 1148, 596, 3062, 5380, 12, 68301, 311, 279, 12939, 315, 42148, 198, 12, 6649, 349, 13650, 311, 279, 2956, 10170, 61273, 198, 4061, 25, 21069, 4236, 311, 7124, 11, 10552, 11, 477, 19635, 904, 9959, 864, 1816, 19476, 627, 38255, 25, 2493, 37794, 612, 62029, 11799, 19723, 320, 605, 25876, 340, 22818, 7257, 88937, 828, 389, 279, 24025, 922, 549, 815, 13, 48458, 369, 7552, 11, 220, 679, 20, 26, 1495, 8863, 323, 27065, 6492, 574, 13375, 389, 459, 4113, 10550, 315, 220, 1135, 11, 931, 24025, 311, 3619, 6130, 27065, 922, 48458, 13, 4314, 4113, 220, 1135, 11, 931, 3585, 1051, 35526, 1523, 311, 220, 868, 11, 931, 311, 8881, 28347, 323, 21813, 1193, 4367, 828, 627, 22818, 7154, 220, 868, 11, 931, 24025, 11, 264, 27065, 6492, 574, 13375, 311, 958, 716, 295, 323, 3619, 16024, 7119, 2204, 48458, 13, 33260, 16155, 304, 10344, 574, 1511, 311, 43530, 279, 27065, 439, 1664, 439, 279, 12410, 627, 791, 6492, 7111, 520, 24025, 922, 4848, 3682, 2326, 48458, 26, 3778, 11, 46785, 11, 3723, 11, 26002, 11, 46785, 11, 549, 815, 13, 70502, 11, 323, 11463, 5270, 11, 2391, 279, 3388, 315, 7552, 11, 220, 679, 20, 13, 578, 2612, 5727, 279, 2768, 7482, 512, 12, 12072, 851, 25, 362, 5016, 13110, 369, 1855, 12072, 198, 12, 33575, 25084, 3904, 25, 578, 27065, 11, 449, 11709, 330, 60668, 2247, 31587, 498, 477, 330, 43324, 23811, 12, 33575, 25084, 3904, 16445, 7232, 25, 9580, 315, 12410, 304, 279, 15632, 198, 12, 4277, 20053, 486, 1525, 25, 51957, 4068, 11, 422, 433, 649, 387, 42645, 291, 198, 12, 4277, 20053, 486, 1525, 16445, 7232, 25, 9580, 315, 12410, 369, 422, 279, 12072, 374, 304, 2144, 8389, 477, 539, 198, 12, 33575, 25, 578, 836, 315, 279, 33575, 198, 12, 836, 25, 578, 23068, 3790, 315, 279, 1217, 198, 12, 1495, 25, 578, 1495, 315, 279, 12072, 198, 12, 12536, 25, 26045, 13448, 311, 60926, 4729, 198, 12, 50935, 70994, 59454, 315, 24025, 3060, 4339, 2754, 306, 3904, 477, 198, 12, 12362, 279, 3135, 315, 279, 6492, 11, 1893, 264, 6771, 2933, 28065, 430, 46480, 279, 828, 627, 6153, 4102, 11, 10772, 264, 10015, 12399, 369, 1855, 315, 1521, 1401, 39210, 512, 791, 3016, 11, 889, 6944, 311, 43395, 3619, 11761, 27065, 198, 12, 4718, 13697, 11, 889, 6944, 311, 3619, 279, 1920, 198, 49828, 7316, 279, 70636, 7482, 311, 25031, 323, 6929, 264, 37409, 1219, 621, 519, 18825, 389, 279, 828, 627, 77921, 28082, 25, 19139, 701, 27906, 320, 508, 4520, 340, 7184, 11, 433, 596, 892, 311, 636, 311, 990, 0, 5377, 709, 701, 2373, 315, 6771, 2933, 11, 4232, 279, 828, 11, 323, 636, 3940, 4999, 7927, 6493, 4893, 1288, 387, 512, 12, 362, 8220, 6771, 2933, 28065, 311, 3118, 311, 279, 3016, 198, 12, 9220, 70022, 26, 832, 369, 279, 3016, 11, 323, 832, 369, 701, 13697, 198, 2520, 420, 3857, 11, 4667, 311, 701, 828, 2592, 323, 1893, 701, 29217, 430, 690, 1629, 304, 279, 4092, 315, 701, 28065, 627, 77921, 28082, 482, 11360, 220, 17, 25, 10435, 701, 27906, 32255, 320, 508, 4520, 340, 7184, 11, 1095, 596, 8314, 10743, 709, 430, 28065, 264, 2766, 13, 5810, 527, 2574, 311, 1427, 369, 512, 12, 2209, 701, 28065, 958, 1413, 5380, 12, 3053, 264, 1217, 33137, 1990, 9382, 323, 7482, 30, 8886, 5540, 315, 40099, 2288, 39313, 5380, 12, 2650, 311, 701, 40099, 68608, 3871, 311, 3371, 264, 3446, 30, 2209, 1070, 4205, 430, 5084, 704, 315, 2035, 5380, 77921, 28082, 482, 11360, 220, 18, 25, 27740, 701, 27906, 320, 508, 4520, 340, 7184, 430, 499, 617, 264, 44461, 28065, 11, 433, 596, 892, 311, 3118, 433, 0, 6193, 279, 3388, 315, 279, 1828, 220, 508, 4520, 11, 3118, 701, 28065, 323, 433, 596, 79236, 11, 323, 10552, 279, 29217, 92937, 2508, 4920, 701, 8220, 2027, 627, 44534, 320, 20, 25876, 340, 12, 37770, 19826, 617, 264, 7029, 4666, 2968, 369, 264, 8205, 315, 1005, 24857, 198, 12, 66240, 287, 323, 66251, 4954, 701, 828, 459, 3062, 13189, 315, 279, 828, 8198, 1920, 198, 12, 27906, 287, 374, 264, 21420, 961, 315, 279, 828, 8198, 29388, 304, 264, 2626, 50364, 442, 306, 13, 58733, 1268, 311, 1893, 832, 449, 264, 5507, 1093, 6771, 2933, 690, 2187, 499, 311, 10552, 701, 828, 323, 6492, 4062, 3258, 323, 30820, 627, 12, 6771, 2933, 374, 459, 3596, 18882, 26673, 828, 42148, 5507, 430, 374, 15525, 304, 279, 30633, 198, 12, 2956, 42148, 374, 4062, 3258, 387, 3705, 287, 264, 2115, 389, 1202, 1866, 482, 6975, 1268, 311, 1893, 264, 8915, 42148, 6261, 374, 264, 24629, 10151, 128001, -100, 32, 12411, 26545, 9849, 11011, 389, 4272, 52864, 574, 37883, 7950, 555, 264, 13054, 6023, 11, 4184, 311, 4756, 6821, 13, 578, 38676, 16626, 220, 18, 12, 17, 7950, 311, 40679, 264, 743, 315, 7757, 14640, 45925, 3967, 439, 330, 4816, 52864, 1, 430, 1051, 44977, 304, 220, 679, 20, 627, 10378, 1097, 1694, 26160, 555, 4868, 430, 584, 527, 2133, 311, 617, 311, 1935, 264, 1464, 2476, 38676, 9849, 27390, 41757, 275, 88614, 73170, 3309, 279, 10877, 520, 279, 11011, 11, 279, 13690, 57168, 5068, 627, 5971, 11, 264, 4868, 7771, 54945, 3309, 5127, 311, 4974, 279, 4857, 323, 5387, 872, 64028, 304, 279, 38676, 53279, 13, 1556, 32853, 311, 264, 12396, 4562, 3309, 578, 13690, 57168, 430, 264, 13054, 6023, 574, 2663, 1139, 279, 5274, 13, 45863, 11, 279, 6023, 16717, 264, 10015, 5756, 574, 922, 311, 16135, 627, 57853, 4379, 323, 5623, 76550, 3168, 287, 12875, 48548, 279, 3130, 11, 323, 5127, 574, 5535, 311, 471, 311, 279, 53279, 1306, 922, 220, 605, 4520, 11, 4184, 311, 279, 13690, 15219, 627, 3923, 1587, 279, 38676, 7055, 3152, 5380, 791, 38676, 596, 17864, 6276, 7757, 2532, 12850, 311, 60541, 389, 279, 8197, 315, 3430, 323, 4732, 13, 1115, 3445, 430, 81694, 690, 1457, 387, 5535, 311, 6900, 5190, 7729, 323, 5255, 43266, 25753, 369, 5190, 34494, 8522, 323, 842, 3932, 627, 65358, 1233, 315, 279, 5718, 18046, 430, 4272, 52864, 3727, 279, 7757, 810, 11646, 369, 4827, 34494, 3932, 323, 1101, 92326, 645, 2225, 279, 4500, 315, 502, 7757, 8522, 323, 9341, 304, 7757, 14054, 627, 28055, 279, 7055, 11, 279, 38676, 21892, 1071, 7757, 3932, 690, 1518, 2697, 6811, 627, 2118, 92786, 690, 2103, 387, 3025, 311, 2680, 279, 13335, 814, 1390, 311, 4034, 1359, 88614, 1071, 13, 330, 7009, 690, 2103, 387, 3025, 311, 4774, 279, 3600, 814, 1390, 311, 4774, 10246, 15546, 775, 16475, 279, 38676, 7055, 5380, 34710, 1884, 31322, 279, 40679, 1051, 24005, 315, 17681, 11, 323, 5195, 323, 5690, 11, 279, 13690, 15219, 5068, 13, 40741, 6696, 5315, 323, 11761, 28424, 527, 9293, 264, 5897, 8815, 311, 2567, 279, 2362, 5718, 304, 2035, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 42493, 7731, 1523, 449, 14484, 311, 3041, 459, 4871, 1427, 520, 420, 304, 57364, 15034, 4999, 8495, 25, 3639, 374, 701, 2955, 35149, 5380, 13778, 25, 52350, 11, 1579, 842, 10632, 11, 2587, 88475, 323, 20801, 37841, 627, 8495, 25, 2650, 656, 499, 7664, 701, 990, 5380, 13778, 25, 28704, 7956, 398, 4113, 449, 29924, 16599, 2436, 11, 3508, 430, 374, 9435, 311, 8776, 477, 19225, 2955, 627, 8495, 25, 10699, 477, 1148, 374, 701, 20343, 5380, 13778, 25, 2684, 527, 3892, 12979, 811, 11, 719, 358, 1053, 2019, 430, 358, 617, 2744, 64747, 3842, 5896, 1543, 11, 459, 20005, 6108, 11726, 323, 16131, 13, 1283, 706, 1047, 279, 19913, 315, 11469, 813, 1866, 6848, 11, 2555, 358, 617, 6051, 22088, 13, 1283, 374, 279, 1732, 889, 5526, 1534, 279, 1825, 30670, 2411, 12908, 1511, 304, 279, 10320, 1617, 3263, 2301, 25325, 6957, 279, 1917, 13, 578, 2237, 323, 5569, 520, 902, 568, 1587, 2626, 706, 2744, 1027, 2555, 358, 617, 439, 11986, 311, 11322, 627, 8495, 25, 3639, 374, 701, 550, 283, 5086, 6721, 26501, 5380, 13778, 25, 35698, 287, 389, 682, 856, 3347, 7224, 11, 433, 1053, 387, 2653, 311, 2019, 13, 2684, 374, 539, 264, 35044, 26501, 430, 358, 4344, 810, 12691, 315, 1109, 2500, 11, 719, 1070, 374, 264, 1486, 520, 279, 9954, 315, 1475, 2447, 430, 6835, 757, 264, 2294, 5647, 315, 61238, 13, 1789, 757, 11, 1070, 374, 912, 7191, 8430, 304, 279, 1917, 1109, 11509, 304, 4156, 315, 11, 477, 304, 2555, 358, 4070, 6319, 323, 11011, 1274, 29488, 433, 627, 8495, 25, 3639, 656, 499, 1390, 1023, 1274, 311, 2019, 922, 701, 990, 5380, 8495, 25, 3639, 374, 701, 7075, 961, 315, 701, 2683, 5380, 13778, 25, 578, 597, 46179, 3131, 264, 2447, 374, 4686, 527, 2294, 11, 719, 358, 1101, 656, 4774, 279, 2955, 1920, 11, 4869, 11, 856, 1866, 3242, 266, 1873, 11767, 757, 311, 2019, 430, 358, 1093, 279, 9954, 315, 279, 1920, 1888, 11, 323, 856, 8403, 527, 3025, 311, 1935, 19243, 323, 5616, 3351, 304, 627, 8495, 25, 3234, 499, 617, 264, 4281, 78, 5380, 13778, 25, 18410, 927, 12472, 0, 358, 7070, 4856, 1518, 4423, 3974, 304, 264, 9333, 3634, 11, 2884, 9193, 1664, 11, 1109, 264, 8294, 3634, 11, 1405, 814, 1051, 9770, 311, 30485, 627, 8495, 25, 3639, 374, 701, 7075, 1933, 5380, 13778, 25, 41489, 13, 7570, 3582, 433, 753, 539, 1511, 1633, 3629, 304, 4205, 358, 656, 4999, 8495, 25, 3639, 1053, 387, 701, 17139, 8063, 2447, 5380, 13778, 25, 7357, 15034, 11, 11726, 11, 477, 6062, 11, 706, 51566, 315, 3815, 1063, 27373, 323, 1664, 22015, 6070, 1093, 279, 25320, 22703, 304, 29890, 13, 2030, 358, 4070, 2744, 1047, 264, 30280, 7119, 20658, 18112, 323, 2955, 11, 779, 358, 1053, 617, 311, 2019, 430, 358, 1053, 3021, 311, 387, 6532, 304, 30829, 2555, 369, 459, 12675, 389, 279, 5569, 315, 650, 3510, 12874, 304, 18045, 477, 2947, 6830, 8288, 6438, 304, 33578, 13011, 627, 8495, 25, 3639, 527, 2380, 4339, 430, 1888, 7664, 264, 2162, 5380, 13778, 25, 44842, 481, 13, 26056, 5065, 13, 1322, 15750, 349, 627, 8495, 25, 3639, 1587, 701, 2162, 1427, 1093, 5380, 13778, 25, 1102, 753, 279, 72619, 59775, 753, 30077, 28439, 13, 358, 4344, 2744, 304, 1990, 85871, 13, 358, 617, 1047, 3892, 2204, 88475, 1234, 8246, 430, 358, 617, 6319, 323, 1243, 4036, 6209, 311, 3780, 1124, 1603, 358, 649, 3351, 304, 0, 358, 6118, 842, 709, 5496, 304, 279, 1203, 315, 856, 5274, 13, 2030, 358, 5131, 617, 264, 20801, 7830, 1234, 8246, 304, 33225, 753, 64000, 579, 9474, 13, 1628, 311, 5471, 856, 13783, 31954, 315, 11486, 856, 1866, 2035, 1405, 433, 374, 3221, 9954, 11, 358, 617, 15075, 3892, 8316, 304, 279, 4857, 369, 9341, 13, 2100, 7344, 11, 422, 358, 4344, 54980, 311, 4662, 11, 358, 617, 3892, 17393, 311, 4662, 323, 2103, 2567, 832, 369, 757, 4999, 8495, 25, 19418, 499, 4856, 1935, 459, 2362, 11, 6484, 2162, 323, 32652, 349, 433, 11, 477, 1977, 6724, 502, 323, 1893, 433, 505, 4400, 5380, 13778, 25, 358, 10932, 502, 13, 3277, 358, 1935, 459, 6484, 2162, 11, 422, 433, 374, 2555, 315, 13970, 26431, 11, 477, 264, 1695, 3187, 315, 264, 3230, 43563, 1742, 11, 433, 374, 539, 779, 1790, 279, 11782, 4059, 3318, 439, 433, 374, 279, 18526, 4059, 3318, 13, 1472, 617, 311, 656, 682, 279, 3495, 311, 1304, 2771, 682, 315, 279, 3649, 527, 13687, 13, 4800, 11, 4737, 459, 9191, 6070, 449, 912, 18526, 477, 43563, 26431, 323, 13353, 433, 1139, 2555, 430, 374, 11726, 43024, 4495, 11, 323, 9093, 1790, 810, 27914, 14122, 2740, 54799, 11, 374, 2555, 358, 1101, 4774, 11, 719, 358, 1053, 617, 311, 2019, 430, 358, 10932, 6041, 505, 19307, 627, 8495, 25, 1442, 499, 3287, 1431, 656, 420, 369, 264, 5496, 11, 1148, 1053, 499, 656, 5380, 13778, 25, 7648, 1274, 1541, 1431, 1440, 420, 11, 719, 994, 358, 574, 459, 41534, 520, 44564, 41798, 11, 358, 1101, 8308, 682, 279, 864, 93408, 16151, 8670, 369, 6593, 2978, 13, 358, 3604, 22068, 291, 2212, 449, 279, 4623, 315, 10671, 264, 12466, 46098, 439, 433, 9508, 1093, 279, 1193, 2115, 315, 16088, 430, 6532, 1063, 11782, 5842, 0, 128001, 128000, 36, 11724, 2686, 1393, 91, 37004, 20739, 8651, 91, 7648, 42640, 617, 520, 3325, 832, 3577, 324, 1534, 27274, 389, 4580, 13, 3861, 315, 279, 6156, 2955, 38864, 369, 9578, 27609, 4590, 287, 42640, 374, 279, 50919, 323, 66860, 315, 279, 3284, 5674, 430, 2643, 12446, 304, 279, 1567, 315, 264, 19748, 442, 60566, 590, 477, 65691, 35098, 320, 8195, 2114, 8, 19320, 5536, 13, 2057, 5471, 9131, 8060, 323, 11000, 4814, 315, 2324, 11, 9313, 2403, 84868, 367, 555, 1778, 1579, 30699, 25949, 2011, 387, 5343, 13, 763, 5369, 311, 264, 14512, 11, 433, 374, 3284, 430, 11, 369, 3738, 7410, 27274, 14769, 11, 7384, 11, 5536, 5137, 11, 323, 10565, 4787, 11, 264, 7410, 27274, 1253, 3217, 54677, 8060, 320, 72, 1770, 13, 89869, 8, 439, 264, 1121, 315, 264, 9950, 651, 19593, 5536, 13, 1442, 1778, 264, 13192, 89869, 1051, 311, 12446, 389, 27609, 4590, 2768, 459, 22403, 2114, 5536, 11, 539, 1193, 1436, 433, 3063, 311, 4814, 315, 42640, 11, 719, 5115, 11000, 11, 369, 3823, 25664, 11, 433, 1436, 1101, 1121, 304, 4814, 315, 2324, 13, 763, 420, 5684, 584, 3118, 459, 2713, 311, 264, 432, 7717, 554, 29108, 85770, 11, 477, 432, 877, 11, 369, 28814, 927, 76804, 7410, 31080, 320, 34, 3143, 52837, 8, 430, 574, 10666, 8767, 13, 578, 2713, 17610, 315, 11041, 432, 877, 5137, 323, 37929, 430, 1051, 12457, 1306, 279, 432, 877, 574, 312, 72286, 1701, 502, 611, 5217, 828, 13, 578, 6177, 432, 877, 5865, 304, 264, 11827, 4528, 311, 430, 315, 264, 60633, 4017, 24524, 11, 477, 52818, 11, 430, 374, 11, 433, 2204, 43398, 1990, 13918, 315, 10565, 323, 5536, 4787, 430, 11, 2728, 264, 13192, 7147, 84868, 367, 11, 1053, 1121, 304, 3060, 13192, 89869, 477, 1193, 264, 12309, 2678, 14512, 477, 17944, 13, 1115, 374, 459, 3062, 18361, 304, 279, 2955, 315, 264, 68672, 53, 3577, 324, 1534, 13192, 1389, 422, 3284, 11, 2955, 5137, 323, 10565, 4787, 1288, 387, 12146, 1778, 430, 5217, 79198, 35098, 320, 21470, 439, 430, 902, 1053, 387, 3549, 304, 279, 1567, 315, 13192, 89869, 477, 54677, 8060, 8, 374, 539, 3549, 439, 264, 1121, 315, 459, 389, 27609, 4590, 22403, 2114, 19320, 5536, 627, 128001, 128000, 15218, 3288, 555, 10455, 735, 1352, 458, 11, 59766, 11, 3318, 439, 18328, 72235, 389, 279, 42904, 315, 578, 2508, 520, 2722, 1073, 18536, 735, 17570, 7910, 3907, 11, 69894, 1054, 1687, 617, 17377, 7978, 1475, 7884, 4216, 304, 279, 6693, 13, 4740, 430, 584, 990, 389, 1057, 36581, 13863, 902, 574, 3940, 439, 459, 1131, 128001 ]
[ -100, 42493, 7731, 1523, 449, 14484, 311, 3041, 459, 4871, 1427, 520, 420, 304, 57364, 15034, 4999, 8495, 25, 3639, 374, 701, 2955, 35149, 5380, 13778, 25, 52350, 11, 1579, 842, 10632, 11, 2587, 88475, 323, 20801, 37841, 627, 8495, 25, 2650, 656, 499, 7664, 701, 990, 5380, 13778, 25, 28704, 7956, 398, 4113, 449, 29924, 16599, 2436, 11, 3508, 430, 374, 9435, 311, 8776, 477, 19225, 2955, 627, 8495, 25, 10699, 477, 1148, 374, 701, 20343, 5380, 13778, 25, 2684, 527, 3892, 12979, 811, 11, 719, 358, 1053, 2019, 430, 358, 617, 2744, 64747, 3842, 5896, 1543, 11, 459, 20005, 6108, 11726, 323, 16131, 13, 1283, 706, 1047, 279, 19913, 315, 11469, 813, 1866, 6848, 11, 2555, 358, 617, 6051, 22088, 13, 1283, 374, 279, 1732, 889, 5526, 1534, 279, 1825, 30670, 2411, 12908, 1511, 304, 279, 10320, 1617, 3263, 2301, 25325, 6957, 279, 1917, 13, 578, 2237, 323, 5569, 520, 902, 568, 1587, 2626, 706, 2744, 1027, 2555, 358, 617, 439, 11986, 311, 11322, 627, 8495, 25, 3639, 374, 701, 550, 283, 5086, 6721, 26501, 5380, 13778, 25, 35698, 287, 389, 682, 856, 3347, 7224, 11, 433, 1053, 387, 2653, 311, 2019, 13, 2684, 374, 539, 264, 35044, 26501, 430, 358, 4344, 810, 12691, 315, 1109, 2500, 11, 719, 1070, 374, 264, 1486, 520, 279, 9954, 315, 1475, 2447, 430, 6835, 757, 264, 2294, 5647, 315, 61238, 13, 1789, 757, 11, 1070, 374, 912, 7191, 8430, 304, 279, 1917, 1109, 11509, 304, 4156, 315, 11, 477, 304, 2555, 358, 4070, 6319, 323, 11011, 1274, 29488, 433, 627, 8495, 25, 3639, 656, 499, 1390, 1023, 1274, 311, 2019, 922, 701, 990, 5380, 8495, 25, 3639, 374, 701, 7075, 961, 315, 701, 2683, 5380, 13778, 25, 578, 597, 46179, 3131, 264, 2447, 374, 4686, 527, 2294, 11, 719, 358, 1101, 656, 4774, 279, 2955, 1920, 11, 4869, 11, 856, 1866, 3242, 266, 1873, 11767, 757, 311, 2019, 430, 358, 1093, 279, 9954, 315, 279, 1920, 1888, 11, 323, 856, 8403, 527, 3025, 311, 1935, 19243, 323, 5616, 3351, 304, 627, 8495, 25, 3234, 499, 617, 264, 4281, 78, 5380, 13778, 25, 18410, 927, 12472, 0, 358, 7070, 4856, 1518, 4423, 3974, 304, 264, 9333, 3634, 11, 2884, 9193, 1664, 11, 1109, 264, 8294, 3634, 11, 1405, 814, 1051, 9770, 311, 30485, 627, 8495, 25, 3639, 374, 701, 7075, 1933, 5380, 13778, 25, 41489, 13, 7570, 3582, 433, 753, 539, 1511, 1633, 3629, 304, 4205, 358, 656, 4999, 8495, 25, 3639, 1053, 387, 701, 17139, 8063, 2447, 5380, 13778, 25, 7357, 15034, 11, 11726, 11, 477, 6062, 11, 706, 51566, 315, 3815, 1063, 27373, 323, 1664, 22015, 6070, 1093, 279, 25320, 22703, 304, 29890, 13, 2030, 358, 4070, 2744, 1047, 264, 30280, 7119, 20658, 18112, 323, 2955, 11, 779, 358, 1053, 617, 311, 2019, 430, 358, 1053, 3021, 311, 387, 6532, 304, 30829, 2555, 369, 459, 12675, 389, 279, 5569, 315, 650, 3510, 12874, 304, 18045, 477, 2947, 6830, 8288, 6438, 304, 33578, 13011, 627, 8495, 25, 3639, 527, 2380, 4339, 430, 1888, 7664, 264, 2162, 5380, 13778, 25, 44842, 481, 13, 26056, 5065, 13, 1322, 15750, 349, 627, 8495, 25, 3639, 1587, 701, 2162, 1427, 1093, 5380, 13778, 25, 1102, 753, 279, 72619, 59775, 753, 30077, 28439, 13, 358, 4344, 2744, 304, 1990, 85871, 13, 358, 617, 1047, 3892, 2204, 88475, 1234, 8246, 430, 358, 617, 6319, 323, 1243, 4036, 6209, 311, 3780, 1124, 1603, 358, 649, 3351, 304, 0, 358, 6118, 842, 709, 5496, 304, 279, 1203, 315, 856, 5274, 13, 2030, 358, 5131, 617, 264, 20801, 7830, 1234, 8246, 304, 33225, 753, 64000, 579, 9474, 13, 1628, 311, 5471, 856, 13783, 31954, 315, 11486, 856, 1866, 2035, 1405, 433, 374, 3221, 9954, 11, 358, 617, 15075, 3892, 8316, 304, 279, 4857, 369, 9341, 13, 2100, 7344, 11, 422, 358, 4344, 54980, 311, 4662, 11, 358, 617, 3892, 17393, 311, 4662, 323, 2103, 2567, 832, 369, 757, 4999, 8495, 25, 19418, 499, 4856, 1935, 459, 2362, 11, 6484, 2162, 323, 32652, 349, 433, 11, 477, 1977, 6724, 502, 323, 1893, 433, 505, 4400, 5380, 13778, 25, 358, 10932, 502, 13, 3277, 358, 1935, 459, 6484, 2162, 11, 422, 433, 374, 2555, 315, 13970, 26431, 11, 477, 264, 1695, 3187, 315, 264, 3230, 43563, 1742, 11, 433, 374, 539, 779, 1790, 279, 11782, 4059, 3318, 439, 433, 374, 279, 18526, 4059, 3318, 13, 1472, 617, 311, 656, 682, 279, 3495, 311, 1304, 2771, 682, 315, 279, 3649, 527, 13687, 13, 4800, 11, 4737, 459, 9191, 6070, 449, 912, 18526, 477, 43563, 26431, 323, 13353, 433, 1139, 2555, 430, 374, 11726, 43024, 4495, 11, 323, 9093, 1790, 810, 27914, 14122, 2740, 54799, 11, 374, 2555, 358, 1101, 4774, 11, 719, 358, 1053, 617, 311, 2019, 430, 358, 10932, 6041, 505, 19307, 627, 8495, 25, 1442, 499, 3287, 1431, 656, 420, 369, 264, 5496, 11, 1148, 1053, 499, 656, 5380, 13778, 25, 7648, 1274, 1541, 1431, 1440, 420, 11, 719, 994, 358, 574, 459, 41534, 520, 44564, 41798, 11, 358, 1101, 8308, 682, 279, 864, 93408, 16151, 8670, 369, 6593, 2978, 13, 358, 3604, 22068, 291, 2212, 449, 279, 4623, 315, 10671, 264, 12466, 46098, 439, 433, 9508, 1093, 279, 1193, 2115, 315, 16088, 430, 6532, 1063, 11782, 5842, 0, 128001, -100, 36, 11724, 2686, 1393, 91, 37004, 20739, 8651, 91, 7648, 42640, 617, 520, 3325, 832, 3577, 324, 1534, 27274, 389, 4580, 13, 3861, 315, 279, 6156, 2955, 38864, 369, 9578, 27609, 4590, 287, 42640, 374, 279, 50919, 323, 66860, 315, 279, 3284, 5674, 430, 2643, 12446, 304, 279, 1567, 315, 264, 19748, 442, 60566, 590, 477, 65691, 35098, 320, 8195, 2114, 8, 19320, 5536, 13, 2057, 5471, 9131, 8060, 323, 11000, 4814, 315, 2324, 11, 9313, 2403, 84868, 367, 555, 1778, 1579, 30699, 25949, 2011, 387, 5343, 13, 763, 5369, 311, 264, 14512, 11, 433, 374, 3284, 430, 11, 369, 3738, 7410, 27274, 14769, 11, 7384, 11, 5536, 5137, 11, 323, 10565, 4787, 11, 264, 7410, 27274, 1253, 3217, 54677, 8060, 320, 72, 1770, 13, 89869, 8, 439, 264, 1121, 315, 264, 9950, 651, 19593, 5536, 13, 1442, 1778, 264, 13192, 89869, 1051, 311, 12446, 389, 27609, 4590, 2768, 459, 22403, 2114, 5536, 11, 539, 1193, 1436, 433, 3063, 311, 4814, 315, 42640, 11, 719, 5115, 11000, 11, 369, 3823, 25664, 11, 433, 1436, 1101, 1121, 304, 4814, 315, 2324, 13, 763, 420, 5684, 584, 3118, 459, 2713, 311, 264, 432, 7717, 554, 29108, 85770, 11, 477, 432, 877, 11, 369, 28814, 927, 76804, 7410, 31080, 320, 34, 3143, 52837, 8, 430, 574, 10666, 8767, 13, 578, 2713, 17610, 315, 11041, 432, 877, 5137, 323, 37929, 430, 1051, 12457, 1306, 279, 432, 877, 574, 312, 72286, 1701, 502, 611, 5217, 828, 13, 578, 6177, 432, 877, 5865, 304, 264, 11827, 4528, 311, 430, 315, 264, 60633, 4017, 24524, 11, 477, 52818, 11, 430, 374, 11, 433, 2204, 43398, 1990, 13918, 315, 10565, 323, 5536, 4787, 430, 11, 2728, 264, 13192, 7147, 84868, 367, 11, 1053, 1121, 304, 3060, 13192, 89869, 477, 1193, 264, 12309, 2678, 14512, 477, 17944, 13, 1115, 374, 459, 3062, 18361, 304, 279, 2955, 315, 264, 68672, 53, 3577, 324, 1534, 13192, 1389, 422, 3284, 11, 2955, 5137, 323, 10565, 4787, 1288, 387, 12146, 1778, 430, 5217, 79198, 35098, 320, 21470, 439, 430, 902, 1053, 387, 3549, 304, 279, 1567, 315, 13192, 89869, 477, 54677, 8060, 8, 374, 539, 3549, 439, 264, 1121, 315, 459, 389, 27609, 4590, 22403, 2114, 19320, 5536, 627, 128001, -100, 15218, 3288, 555, 10455, 735, 1352, 458, 11, 59766, 11, 3318, 439, 18328, 72235, 389, 279, 42904, 315, 578, 2508, 520, 2722, 1073, 18536, 735, 17570, 7910, 3907, 11, 69894, 1054, 1687, 617, 17377, 7978, 1475, 7884, 4216, 304, 279, 6693, 13, 4740, 430, 584, 990, 389, 1057, 36581, 13863, 902, 574, 3940, 439, 459, 1131, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57 ]
[ 128000, 18293, 701, 20343, 505, 279, 11401, 18845, 20129, 279, 1629, 2336, 1314, 1457, 0, 40819, 527, 2466, 304, 220, 2366, 17, 49525, 1475, 5647, 315, 279, 3492, 13, 578, 23090, 3157, 374, 68790, 11, 16625, 555, 264, 37393, 315, 2802, 304, 24724, 18381, 323, 28948, 16097, 11, 5636, 279, 1205, 311, 15921, 1063, 682, 98473, 7802, 648, 409, 18434, 265, 1139, 18254, 48374, 13, 1102, 753, 539, 1120, 279, 6763, 430, 527, 2466, 2345, 7349, 704, 369, 14265, 12912, 11, 21933, 8146, 323, 5066, 11843, 70305, 31817, 304, 220, 2366, 17, 13, 1102, 753, 682, 922, 1694, 3970, 0, 2052, 315, 279, 3278, 753, 37862, 304, 1057, 4526, 11, 505, 16736, 311, 2539, 10539, 42112, 11, 649, 387, 1054, 9894, 291, 709, 863, 449, 1063, 389, 2442, 9484, 23090, 13, 5810, 527, 4330, 43081, 18845, 499, 649, 636, 304, 389, 1457, 369, 279, 3280, 8469, 627, 3112, 539, 1120, 81357, 0, 2052, 4595, 315, 15653, 323, 18381, 527, 2133, 6136, 6108, 323, 6160, 536, 78130, 13, 15940, 75698, 91493, 374, 3131, 1578, 6522, 279, 1648, 304, 42688, 58580, 449, 58466, 18012, 18381, 11, 18742, 12862, 18742, 11, 47658, 56170, 323, 1524, 47658, 13076, 12571, 0, 7089, 26897, 3794, 389, 4580, 449, 279, 42688, 22658, 11401, 6678, 2997, 71814, 8458, 57199, 267, 323, 88983, 24079, 72, 8458, 13, 68181, 78574, 1288, 8659, 2567, 459, 8071, 704, 369, 6160, 536, 78130, 15653, 29096, 1972, 4320, 311, 279, 3575, 315, 24634, 9994, 15653, 13696, 709, 304, 4363, 67267, 627, 2377, 1587, 539, 1935, 264, 1203, 10954, 304, 1521, 42688, 2671, 13, 91493, 753, 2939, 352, 2727, 9145, 374, 264, 48494, 11, 3776, 9886, 84744, 264, 12143, 88, 6761, 8957, 3790, 430, 753, 1633, 1790, 279, 304, 12, 1626, 420, 3280, 2345, 6518, 389, 279, 2466, 2902, 15154, 8957, 9327, 3770, 0, 39729, 2997, 81357, 84744, 279, 72021, 8146, 369, 264, 10683, 1712, 48713, 315, 68172, 627, 5348, 449, 1120, 264, 35732, 315, 6761, 18809, 1314, 304, 449, 279, 10683, 1712, 1742, 627, 89567, 18381, 1051, 682, 279, 34049, 304, 220, 2366, 16, 323, 1457, 1690, 26897, 527, 4737, 430, 20343, 927, 1139, 872, 31817, 21986, 13, 33185, 311, 1518, 9246, 315, 92732, 11, 3060, 304, 17845, 477, 5361, 7123, 13, 3799, 329, 306, 9863, 2997, 49151, 477, 1023, 86131, 11, 477, 29727, 315, 15310, 477, 6761, 311, 1095, 279, 86131, 2559, 704, 430, 2697, 2766, 810, 627, 11126, 9998, 25562, 527, 1203, 304, 11, 719, 584, 3207, 7556, 2466, 11, 12691, 27302, 430, 2559, 704, 505, 4028, 279, 3130, 13, 56789, 19269, 33610, 743, 1139, 11670, 6761, 14418, 305, 847, 1203, 311, 44277, 9404, 11, 1418, 810, 53584, 21483, 4546, 1203, 264, 14435, 315, 5209, 34457, 11679, 2428, 627, 2688, 682, 279, 17189, 18845, 527, 5115, 779, 24724, 13, 33185, 311, 1518, 220, 2031, 82, 11549, 32353, 89965, 11, 77315, 449, 68232, 21483, 323, 7155, 24699, 13, 37343, 89965, 9204, 264, 2134, 315, 70723, 21483, 311, 2873, 810, 1054, 53980, 863, 527, 5108, 1203, 11, 439, 527, 1054, 339, 42480, 34352, 863, 1742, 9863, 13, 3562, 11, 14265, 21483, 323, 279, 5845, 311, 6651, 1521, 369, 701, 1742, 527, 1148, 220, 2366, 17, 753, 24724, 9327, 374, 682, 922, 627, 1163, 1771, 7784, 1431, 1120, 369, 9145, 13777, 477, 5224, 31817, 13, 1226, 2736, 15243, 922, 279, 10205, 315, 279, 816, 17, 42, 282, 1003, 919, 5131, 20129, 279, 3157, 13, 3861, 315, 279, 1455, 33596, 9863, 505, 279, 2543, 315, 279, 89785, 574, 279, 12143, 88, 8957, 19671, 11, 1776, 2234, 65536, 1570, 2212, 279, 43523, 477, 35717, 927, 369, 459, 1524, 810, 8071, 84424, 43081, 13, 82869, 649, 387, 41630, 477, 10284, 36451, 291, 9501, 369, 430, 13076, 2733, 11, 477, 15310, 477, 6761, 369, 264, 810, 77014, 5916, 13, 32178, 61242, 369, 3278, 11, 304, 4040, 11, 7937, 279, 28961, 8957, 369, 264, 36858, 53161, 1427, 13, 6984, 304, 279, 220, 1049, 15, 82, 11, 47752, 8146, 1051, 2466, 369, 264, 1418, 11, 779, 2567, 459, 8071, 704, 369, 279, 91590, 315, 10107, 18718, 477, 6437, 27271, 63938, 5115, 439, 27545, 11, 719, 2771, 311, 387, 264, 4295, 4999, 50, 2785, 701, 8957, 19671, 2212, 701, 61221, 8679, 311, 8628, 331, 433, 520, 279, 29142, 11, 477, 6857, 433, 449, 701, 7075, 34389, 369, 264, 17189, 47811, 13, 5560, 2204, 1404, 27271, 3871, 369, 264, 6485, 323, 57216, 1427, 13, 2758, 304, 264, 11262, 1039, 477, 18301, 3821, 311, 1304, 279, 1427, 701, 1866, 4999, 791, 88619, 9145, 2345, 14724, 433, 3596, 733, 704, 315, 1742, 30, 53466, 539, 304, 3432, 753, 1917, 315, 31526, 3254, 25700, 18381, 323, 4560, 311, 387, 810, 22556, 13, 578, 88619, 430, 5900, 311, 279, 20021, 11, 311, 990, 477, 7926, 11, 477, 1524, 704, 389, 279, 6424, 374, 279, 9145, 430, 1120, 13912, 7231, 13, 220, 2366, 17, 753, 88619, 18381, 527, 2771, 311, 387, 2466, 11, 1903, 505, 13354, 323, 304, 264, 31467, 1742, 430, 3727, 1124, 38631, 33045, 13, 6295, 11, 927, 10826, 12, 5562, 261, 13777, 527, 304, 11, 439, 527, 2033, 13777, 430, 2187, 499, 311, 88733, 433, 389, 701, 1203, 994, 4460, 13, 4427, 26897, 1093, 16644, 59064, 527, 61316, 3252, 872, 43177, 555, 7999, 2875, 323, 1317, 13777, 11, 10923, 11401, 7359, 311, 1005, 872, 9145, 904, 1648, 814, 1093, 627, 26208, 8146, 369, 701, 88619, 9145, 2489, 279, 3280, 304, 15206, 46119, 24370, 11, 10107, 22632, 323, 77014, 29727, 1093, 31022, 315, 6761, 477, 15310, 13, 4314, 527, 279, 88619, 18381, 499, 1390, 311, 387, 3970, 449, 11, 28578, 499, 733, 627, 1991, 8469, 315, 279, 88619, 9327, 449, 420, 51527, 31307, 1894, 11, 1776, 3102, 11549, 88619, 10728, 369, 15691, 4395, 499, 1205, 627, 2409, 15771, 0, 17916, 15653, 323, 3278, 753, 26302, 527, 1203, 323, 814, 3207, 5190, 1109, 3596, 13, 5377, 4791, 68, 11, 8036, 4791, 68, 11, 1054, 55202, 398, 1070, 863, 49349, 11093, 449, 279, 12143, 13744, 34460, 11, 323, 2539, 26302, 527, 682, 18190, 18007, 20703, 10194, 872, 1648, 1523, 279, 3389, 2695, 2295, 8415, 19599, 82, 323, 1139, 701, 10683, 1712, 46846, 13, 3082, 15771, 617, 9408, 779, 645, 323, 34460, 323, 814, 3207, 264, 220, 2031, 82, 1742, 430, 1120, 13912, 5108, 1203, 2212, 627, 5479, 10631, 369, 220, 2366, 17, 15771, 2997, 220, 1399, 82, 53161, 46119, 24370, 11, 7941, 11, 3776, 25589, 18012, 323, 55251, 88, 11, 42299, 1054, 7349, 520, 757, 863, 15771, 627, 39202, 832, 3094, 8469, 315, 279, 10683, 1712, 18845, 323, 27100, 1057, 5652, 23090, 4526, 0, 128001, 128000, 1, 31844, 1968, 11, 369, 757, 11, 18065, 23062, 9863, 704, 315, 279, 24746, 4365, 315, 5448, 323, 6848, 430, 28555, 555, 1855, 1938, 11, 323, 10917, 1124, 3871, 304, 1063, 502, 1648, 627, 32148, 420, 8741, 449, 459, 14944, 304, 4059, 11, 1778, 439, 22923, 264, 3738, 4623, 477, 1742, 11, 323, 7170, 2574, 1120, 2873, 311, 10683, 709, 389, 872, 1866, 505, 1317, 2269, 1813, 10503, 19595, 430, 11299, 1139, 279, 45963, 315, 856, 28899, 10246, 128001, 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 12280, 89101, 482, 32175, 264, 4617, 4017, 369, 35135, 2683, 62987, 287, 6299, 198, 5223, 62, 15, 25, 3146, 5116, 334, 881, 12524, 28041, 649, 387, 8104, 8987, 389, 279, 10879, 4009, 4245, 311, 279, 2038, 2631, 505, 38000, 329, 311, 11294, 28041, 57240, 323, 12678, 13, 1102, 1053, 9093, 387, 69919, 311, 19678, 264, 4617, 14, 22179, 4017, 7325, 369, 28041, 8640, 13, 1115, 1053, 2187, 603, 311, 2567, 264, 38761, 4017, 994, 4401, 389, 3544, 28066, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 477, 9502, 264, 8743, 369, 9859, 329, 311, 29241, 433, 304, 3016, 10691, 482, 279, 828, 374, 1070, 2736, 90163, 27, 11407, 18104, 29, 5223, 62, 17, 25, 571, 5223, 62, 16, 430, 1053, 8659, 1520, 8108, 279, 1396, 315, 5446, 6880, 2631, 323, 358, 3077, 3604, 1027, 3411, 520, 7999, 1148, 584, 1205, 369, 16865, 10691, 1203, 1139, 279, 38000, 329, 5446, 13, 4452, 11, 18189, 279, 5446, 6880, 5042, 41802, 279, 28041, 4360, 704, 482, 1070, 1053, 2103, 387, 1063, 1396, 315, 7032, 78502, 5315, 14, 22179, 34239, 430, 1053, 387, 3025, 311, 96848, 279, 38000, 329, 5446, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 422, 29641, 859, 5829, 1595, 7331, 626, 1604, 63, 323, 1486, 311, 48522, 3016, 11, 13434, 956, 430, 1520, 449, 28041, 704, 5380, 27, 11407, 18104, 29, 5223, 62, 17, 25, 3296, 1670, 11, 584, 2736, 1486, 311, 279, 1595, 8465, 63, 3016, 571, 5223, 62, 16, 11, 10923, 1595, 267, 1604, 63, 369, 279, 5446, 6880, 374, 264, 1695, 4623, 323, 1288, 387, 9408, 439, 264, 8821, 4360, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 3146, 21103, 66990, 334, 881, 1271, 2686, 1521, 10742, 11, 584, 3358, 4305, 459, 8582, 50962, 389, 35135, 28041, 7677, 25, 24226, 16, 13, 578, 40107, 2683, 28041, 1749, 690, 4305, 264, 12128, 5613, 1405, 69311, 5070, 690, 387, 5946, 311, 264, 12128, 1749, 311, 4305, 279, 28041, 13, 1226, 690, 4305, 264, 44494, 4017, 311, 279, 1396, 315, 58632, 28041, 7677, 15480, 13, 24226, 16, 13, 578, 40107, 2683, 28041, 1749, 690, 4305, 264, 3868, 1912, 311, 6106, 682, 69311, 5070, 527, 15590, 1603, 13758, 311, 279, 23055, 323, 8748, 369, 279, 1828, 9525, 13, 1115, 690, 6106, 584, 5201, 279, 20336, 28041, 10074, 323, 656, 539, 842, 709, 304, 264, 6926, 6471, 422, 279, 28041, 6299, 1935, 5129, 1109, 279, 20336, 28041, 10074, 13, 24226, 16, 13, 578, 40107, 12128, 7463, 28041, 1749, 690, 387, 6177, 311, 4305, 1486, 220, 16, 311, 6106, 29237, 304, 7865, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 45779, 449, 674, 12338, 27, 11407, 45797, 29, 128001 ]
[ -100, 18293, 701, 20343, 505, 279, 11401, 18845, 20129, 279, 1629, 2336, 1314, 1457, 0, 40819, 527, 2466, 304, 220, 2366, 17, 49525, 1475, 5647, 315, 279, 3492, 13, 578, 23090, 3157, 374, 68790, 11, 16625, 555, 264, 37393, 315, 2802, 304, 24724, 18381, 323, 28948, 16097, 11, 5636, 279, 1205, 311, 15921, 1063, 682, 98473, 7802, 648, 409, 18434, 265, 1139, 18254, 48374, 13, 1102, 753, 539, 1120, 279, 6763, 430, 527, 2466, 2345, 7349, 704, 369, 14265, 12912, 11, 21933, 8146, 323, 5066, 11843, 70305, 31817, 304, 220, 2366, 17, 13, 1102, 753, 682, 922, 1694, 3970, 0, 2052, 315, 279, 3278, 753, 37862, 304, 1057, 4526, 11, 505, 16736, 311, 2539, 10539, 42112, 11, 649, 387, 1054, 9894, 291, 709, 863, 449, 1063, 389, 2442, 9484, 23090, 13, 5810, 527, 4330, 43081, 18845, 499, 649, 636, 304, 389, 1457, 369, 279, 3280, 8469, 627, 3112, 539, 1120, 81357, 0, 2052, 4595, 315, 15653, 323, 18381, 527, 2133, 6136, 6108, 323, 6160, 536, 78130, 13, 15940, 75698, 91493, 374, 3131, 1578, 6522, 279, 1648, 304, 42688, 58580, 449, 58466, 18012, 18381, 11, 18742, 12862, 18742, 11, 47658, 56170, 323, 1524, 47658, 13076, 12571, 0, 7089, 26897, 3794, 389, 4580, 449, 279, 42688, 22658, 11401, 6678, 2997, 71814, 8458, 57199, 267, 323, 88983, 24079, 72, 8458, 13, 68181, 78574, 1288, 8659, 2567, 459, 8071, 704, 369, 6160, 536, 78130, 15653, 29096, 1972, 4320, 311, 279, 3575, 315, 24634, 9994, 15653, 13696, 709, 304, 4363, 67267, 627, 2377, 1587, 539, 1935, 264, 1203, 10954, 304, 1521, 42688, 2671, 13, 91493, 753, 2939, 352, 2727, 9145, 374, 264, 48494, 11, 3776, 9886, 84744, 264, 12143, 88, 6761, 8957, 3790, 430, 753, 1633, 1790, 279, 304, 12, 1626, 420, 3280, 2345, 6518, 389, 279, 2466, 2902, 15154, 8957, 9327, 3770, 0, 39729, 2997, 81357, 84744, 279, 72021, 8146, 369, 264, 10683, 1712, 48713, 315, 68172, 627, 5348, 449, 1120, 264, 35732, 315, 6761, 18809, 1314, 304, 449, 279, 10683, 1712, 1742, 627, 89567, 18381, 1051, 682, 279, 34049, 304, 220, 2366, 16, 323, 1457, 1690, 26897, 527, 4737, 430, 20343, 927, 1139, 872, 31817, 21986, 13, 33185, 311, 1518, 9246, 315, 92732, 11, 3060, 304, 17845, 477, 5361, 7123, 13, 3799, 329, 306, 9863, 2997, 49151, 477, 1023, 86131, 11, 477, 29727, 315, 15310, 477, 6761, 311, 1095, 279, 86131, 2559, 704, 430, 2697, 2766, 810, 627, 11126, 9998, 25562, 527, 1203, 304, 11, 719, 584, 3207, 7556, 2466, 11, 12691, 27302, 430, 2559, 704, 505, 4028, 279, 3130, 13, 56789, 19269, 33610, 743, 1139, 11670, 6761, 14418, 305, 847, 1203, 311, 44277, 9404, 11, 1418, 810, 53584, 21483, 4546, 1203, 264, 14435, 315, 5209, 34457, 11679, 2428, 627, 2688, 682, 279, 17189, 18845, 527, 5115, 779, 24724, 13, 33185, 311, 1518, 220, 2031, 82, 11549, 32353, 89965, 11, 77315, 449, 68232, 21483, 323, 7155, 24699, 13, 37343, 89965, 9204, 264, 2134, 315, 70723, 21483, 311, 2873, 810, 1054, 53980, 863, 527, 5108, 1203, 11, 439, 527, 1054, 339, 42480, 34352, 863, 1742, 9863, 13, 3562, 11, 14265, 21483, 323, 279, 5845, 311, 6651, 1521, 369, 701, 1742, 527, 1148, 220, 2366, 17, 753, 24724, 9327, 374, 682, 922, 627, 1163, 1771, 7784, 1431, 1120, 369, 9145, 13777, 477, 5224, 31817, 13, 1226, 2736, 15243, 922, 279, 10205, 315, 279, 816, 17, 42, 282, 1003, 919, 5131, 20129, 279, 3157, 13, 3861, 315, 279, 1455, 33596, 9863, 505, 279, 2543, 315, 279, 89785, 574, 279, 12143, 88, 8957, 19671, 11, 1776, 2234, 65536, 1570, 2212, 279, 43523, 477, 35717, 927, 369, 459, 1524, 810, 8071, 84424, 43081, 13, 82869, 649, 387, 41630, 477, 10284, 36451, 291, 9501, 369, 430, 13076, 2733, 11, 477, 15310, 477, 6761, 369, 264, 810, 77014, 5916, 13, 32178, 61242, 369, 3278, 11, 304, 4040, 11, 7937, 279, 28961, 8957, 369, 264, 36858, 53161, 1427, 13, 6984, 304, 279, 220, 1049, 15, 82, 11, 47752, 8146, 1051, 2466, 369, 264, 1418, 11, 779, 2567, 459, 8071, 704, 369, 279, 91590, 315, 10107, 18718, 477, 6437, 27271, 63938, 5115, 439, 27545, 11, 719, 2771, 311, 387, 264, 4295, 4999, 50, 2785, 701, 8957, 19671, 2212, 701, 61221, 8679, 311, 8628, 331, 433, 520, 279, 29142, 11, 477, 6857, 433, 449, 701, 7075, 34389, 369, 264, 17189, 47811, 13, 5560, 2204, 1404, 27271, 3871, 369, 264, 6485, 323, 57216, 1427, 13, 2758, 304, 264, 11262, 1039, 477, 18301, 3821, 311, 1304, 279, 1427, 701, 1866, 4999, 791, 88619, 9145, 2345, 14724, 433, 3596, 733, 704, 315, 1742, 30, 53466, 539, 304, 3432, 753, 1917, 315, 31526, 3254, 25700, 18381, 323, 4560, 311, 387, 810, 22556, 13, 578, 88619, 430, 5900, 311, 279, 20021, 11, 311, 990, 477, 7926, 11, 477, 1524, 704, 389, 279, 6424, 374, 279, 9145, 430, 1120, 13912, 7231, 13, 220, 2366, 17, 753, 88619, 18381, 527, 2771, 311, 387, 2466, 11, 1903, 505, 13354, 323, 304, 264, 31467, 1742, 430, 3727, 1124, 38631, 33045, 13, 6295, 11, 927, 10826, 12, 5562, 261, 13777, 527, 304, 11, 439, 527, 2033, 13777, 430, 2187, 499, 311, 88733, 433, 389, 701, 1203, 994, 4460, 13, 4427, 26897, 1093, 16644, 59064, 527, 61316, 3252, 872, 43177, 555, 7999, 2875, 323, 1317, 13777, 11, 10923, 11401, 7359, 311, 1005, 872, 9145, 904, 1648, 814, 1093, 627, 26208, 8146, 369, 701, 88619, 9145, 2489, 279, 3280, 304, 15206, 46119, 24370, 11, 10107, 22632, 323, 77014, 29727, 1093, 31022, 315, 6761, 477, 15310, 13, 4314, 527, 279, 88619, 18381, 499, 1390, 311, 387, 3970, 449, 11, 28578, 499, 733, 627, 1991, 8469, 315, 279, 88619, 9327, 449, 420, 51527, 31307, 1894, 11, 1776, 3102, 11549, 88619, 10728, 369, 15691, 4395, 499, 1205, 627, 2409, 15771, 0, 17916, 15653, 323, 3278, 753, 26302, 527, 1203, 323, 814, 3207, 5190, 1109, 3596, 13, 5377, 4791, 68, 11, 8036, 4791, 68, 11, 1054, 55202, 398, 1070, 863, 49349, 11093, 449, 279, 12143, 13744, 34460, 11, 323, 2539, 26302, 527, 682, 18190, 18007, 20703, 10194, 872, 1648, 1523, 279, 3389, 2695, 2295, 8415, 19599, 82, 323, 1139, 701, 10683, 1712, 46846, 13, 3082, 15771, 617, 9408, 779, 645, 323, 34460, 323, 814, 3207, 264, 220, 2031, 82, 1742, 430, 1120, 13912, 5108, 1203, 2212, 627, 5479, 10631, 369, 220, 2366, 17, 15771, 2997, 220, 1399, 82, 53161, 46119, 24370, 11, 7941, 11, 3776, 25589, 18012, 323, 55251, 88, 11, 42299, 1054, 7349, 520, 757, 863, 15771, 627, 39202, 832, 3094, 8469, 315, 279, 10683, 1712, 18845, 323, 27100, 1057, 5652, 23090, 4526, 0, 128001, -100, 1, 31844, 1968, 11, 369, 757, 11, 18065, 23062, 9863, 704, 315, 279, 24746, 4365, 315, 5448, 323, 6848, 430, 28555, 555, 1855, 1938, 11, 323, 10917, 1124, 3871, 304, 1063, 502, 1648, 627, 32148, 420, 8741, 449, 459, 14944, 304, 4059, 11, 1778, 439, 22923, 264, 3738, 4623, 477, 1742, 11, 323, 7170, 2574, 1120, 2873, 311, 10683, 709, 389, 872, 1866, 505, 1317, 2269, 1813, 10503, 19595, 430, 11299, 1139, 279, 45963, 315, 856, 28899, 10246, 128001, -100, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 12280, 89101, 482, 32175, 264, 4617, 4017, 369, 35135, 2683, 62987, 287, 6299, 198, 5223, 62, 15, 25, 3146, 5116, 334, 881, 12524, 28041, 649, 387, 8104, 8987, 389, 279, 10879, 4009, 4245, 311, 279, 2038, 2631, 505, 38000, 329, 311, 11294, 28041, 57240, 323, 12678, 13, 1102, 1053, 9093, 387, 69919, 311, 19678, 264, 4617, 14, 22179, 4017, 7325, 369, 28041, 8640, 13, 1115, 1053, 2187, 603, 311, 2567, 264, 38761, 4017, 994, 4401, 389, 3544, 28066, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 477, 9502, 264, 8743, 369, 9859, 329, 311, 29241, 433, 304, 3016, 10691, 482, 279, 828, 374, 1070, 2736, 90163, 27, 11407, 18104, 29, 5223, 62, 17, 25, 571, 5223, 62, 16, 430, 1053, 8659, 1520, 8108, 279, 1396, 315, 5446, 6880, 2631, 323, 358, 3077, 3604, 1027, 3411, 520, 7999, 1148, 584, 1205, 369, 16865, 10691, 1203, 1139, 279, 38000, 329, 5446, 13, 4452, 11, 18189, 279, 5446, 6880, 5042, 41802, 279, 28041, 4360, 704, 482, 1070, 1053, 2103, 387, 1063, 1396, 315, 7032, 78502, 5315, 14, 22179, 34239, 430, 1053, 387, 3025, 311, 96848, 279, 38000, 329, 5446, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 422, 29641, 859, 5829, 1595, 7331, 626, 1604, 63, 323, 1486, 311, 48522, 3016, 11, 13434, 956, 430, 1520, 449, 28041, 704, 5380, 27, 11407, 18104, 29, 5223, 62, 17, 25, 3296, 1670, 11, 584, 2736, 1486, 311, 279, 1595, 8465, 63, 3016, 571, 5223, 62, 16, 11, 10923, 1595, 267, 1604, 63, 369, 279, 5446, 6880, 374, 264, 1695, 4623, 323, 1288, 387, 9408, 439, 264, 8821, 4360, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 3146, 21103, 66990, 334, 881, 1271, 2686, 1521, 10742, 11, 584, 3358, 4305, 459, 8582, 50962, 389, 35135, 28041, 7677, 25, 24226, 16, 13, 578, 40107, 2683, 28041, 1749, 690, 4305, 264, 12128, 5613, 1405, 69311, 5070, 690, 387, 5946, 311, 264, 12128, 1749, 311, 4305, 279, 28041, 13, 1226, 690, 4305, 264, 44494, 4017, 311, 279, 1396, 315, 58632, 28041, 7677, 15480, 13, 24226, 16, 13, 578, 40107, 2683, 28041, 1749, 690, 4305, 264, 3868, 1912, 311, 6106, 682, 69311, 5070, 527, 15590, 1603, 13758, 311, 279, 23055, 323, 8748, 369, 279, 1828, 9525, 13, 1115, 690, 6106, 584, 5201, 279, 20336, 28041, 10074, 323, 656, 539, 842, 709, 304, 264, 6926, 6471, 422, 279, 28041, 6299, 1935, 5129, 1109, 279, 20336, 28041, 10074, 13, 24226, 16, 13, 578, 40107, 12128, 7463, 28041, 1749, 690, 387, 6177, 311, 4305, 1486, 220, 16, 311, 6106, 29237, 304, 7865, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 45779, 449, 674, 12338, 27, 11407, 45797, 29, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448 ]
[ 128000, 34126, 2254, 3158, 4009, 198, 34126, 8949, 12299, 39810, 320, 53, 24299, 477, 4200, 47525, 8, 2187, 5361, 20406, 2254, 3158, 14488, 320, 24299, 8, 311, 3073, 2949, 264, 3254, 7106, 47525, 13, 763, 1023, 4339, 11, 279, 47525, 82, 527, 4613, 304, 3241, 4856, 1109, 12035, 627, 38275, 279, 2768, 3187, 1405, 1403, 76980, 82, 527, 3549, 449, 264, 76980, 13171, 3480, 13, 3296, 1670, 11, 682, 20946, 389, 279, 1890, 3480, 6118, 9352, 311, 279, 1890, 47525, 4676, 13, 1115, 3445, 1070, 374, 264, 3254, 13195, 8106, 13, 8940, 6714, 279, 3480, 1139, 5361, 76980, 82, 71204, 73862, 20946, 311, 264, 76980, 477, 1063, 3169, 315, 13110, 369, 430, 1912, 315, 20946, 13, 763, 1057, 3187, 11, 1095, 753, 22864, 20946, 220, 16, 4235, 21, 311, 76980, 220, 16, 323, 20946, 220, 22, 4235, 717, 311, 76980, 220, 17, 13, 763, 420, 1510, 6683, 11, 7766, 12673, 311, 20946, 220, 16, 4235, 21, 649, 19570, 449, 1855, 1023, 11, 323, 7766, 12673, 311, 20946, 220, 22, 4235, 717, 649, 19570, 449, 1855, 1023, 11, 719, 1070, 374, 912, 1648, 369, 904, 3756, 389, 20946, 220, 16, 4235, 21, 311, 19570, 449, 904, 3756, 389, 20946, 220, 22, 4235, 717, 13, 1789, 3187, 11, 9629, 4036, 389, 2700, 220, 17, 690, 387, 312, 1485, 5600, 704, 20946, 449, 16250, 304, 76980, 220, 16, 320, 72, 1770, 2637, 20946, 220, 16, 323, 220, 18, 4235, 21, 570, 1226, 617, 1457, 3549, 1403, 8821, 13195, 31576, 13, 763, 2515, 11, 279, 3480, 374, 15718, 439, 422, 433, 1051, 1403, 8821, 32267, 627, 53, 24299, 16250, 649, 387, 12893, 555, 2700, 11, 23733, 2686, 11, 23570, 220, 18, 11766, 11, 477, 23570, 220, 18, 52557, 13, 1226, 527, 27409, 264, 4029, 315, 2802, 555, 4560, 311, 22712, 7766, 430, 649, 19570, 304, 264, 1648, 430, 26338, 279, 9629, 824, 47525, 13, 9062, 315, 1521, 12823, 11705, 264, 76980, 323, 1101, 5825, 5066, 97097, 304, 30230, 76980, 16250, 627, 53, 24299, 43652, 555, 5896, 198, 53, 24299, 16250, 555, 2700, 374, 279, 45648, 323, 1455, 4279, 24047, 315, 76980, 5557, 323, 649, 387, 12893, 20684, 477, 9651, 13, 14881, 824, 2700, 76980, 16250, 7612, 264, 4009, 29193, 311, 9993, 3927, 20946, 311, 64162, 76980, 82, 2949, 279, 4009, 13, 1115, 649, 387, 2884, 4669, 264, 4009, 6373, 8216, 1701, 264, 54243, 1217, 3834, 320, 20844, 8, 3834, 477, 555, 1615, 85669, 1139, 1855, 76980, 13171, 3756, 323, 1701, 430, 3756, 753, 3290, 1584, 3834, 13, 35081, 24691, 315, 20946, 1139, 76980, 82, 7612, 430, 279, 7766, 10491, 2700, 24691, 13, 1115, 649, 387, 2884, 3196, 5304, 4009, 2865, 477, 3932, 529, 29460, 627, 2409, 17392, 24691, 11, 20946, 649, 1193, 617, 16250, 304, 264, 3254, 76980, 13, 35081, 24691, 374, 3629, 1511, 311, 28696, 38314, 11, 11031, 11, 323, 4442, 2949, 264, 4009, 13, 3277, 264, 1217, 11031, 11, 568, 477, 1364, 63634, 1139, 279, 24379, 4009, 2700, 902, 279, 4009, 29193, 51012, 311, 279, 1217, 753, 4113, 76980, 13, 1115, 27024, 2109, 33024, 323, 98156, 315, 502, 7241, 304, 279, 19358, 33044, 13, 1050, 66342, 20946, 323, 3480, 20946, 389, 76980, 13171, 7766, 649, 387, 20816, 304, 420, 11827, 627, 53, 24299, 43652, 555, 23733, 9356, 198, 99729, 76980, 16250, 555, 23733, 2686, 374, 3629, 15375, 823, 88, 323, 892, 35208, 11, 323, 433, 374, 539, 3629, 11798, 13, 41477, 527, 12893, 311, 76980, 82, 4184, 311, 872, 23733, 2686, 11, 902, 3445, 7766, 3839, 23733, 14564, 311, 10491, 16250, 13, 1115, 374, 14614, 1193, 3970, 304, 76980, 13171, 32267, 627, 63717, 315, 1405, 389, 279, 4009, 264, 3756, 63634, 304, 11, 279, 4009, 51012, 430, 3756, 311, 279, 864, 82543, 76980, 11, 779, 6505, 3932, 649, 1005, 279, 1890, 23570, 220, 18, 2686, 323, 2680, 279, 1890, 5070, 15851, 315, 1405, 389, 279, 14054, 814, 527, 13, 1115, 1101, 3611, 2311, 279, 4009, 459, 3779, 8547, 315, 4868, 439, 7766, 430, 527, 539, 15324, 690, 539, 387, 16584, 311, 264, 76980, 13, 578, 12544, 449, 76980, 16250, 555, 23733, 14564, 374, 430, 279, 4009, 29193, 3966, 311, 1977, 323, 10519, 264, 1160, 315, 1475, 23733, 2686, 304, 279, 4009, 323, 76980, 16250, 13, 7357, 892, 264, 502, 3756, 374, 3779, 477, 264, 4009, 3834, 3786, 320, 46047, 8, 374, 12860, 11, 279, 76980, 2007, 3966, 311, 387, 6177, 13, 4427, 31956, 2187, 279, 29193, 311, 636, 264, 1054, 36601, 863, 315, 23733, 14564, 389, 279, 4009, 311, 3665, 3515, 311, 4034, 1475, 3756, 323, 3335, 279, 2686, 13, 1115, 1587, 539, 1520, 304, 279, 14529, 2007, 13709, 11, 902, 374, 1457, 9200, 311, 279, 4495, 5784, 315, 279, 4009, 627, 53, 24299, 43652, 555, 25590, 198, 99729, 76980, 16250, 555, 11766, 374, 19019, 10671, 47166, 439, 510, 3378, 60, 9731, 311, 41836, 520, 23570, 220, 18, 323, 60826, 834, 2050, 682, 1023, 27548, 13, 11208, 5361, 32885, 3136, 311, 3073, 11, 433, 374, 3284, 311, 617, 279, 3480, 9993, 20946, 311, 76980, 82, 3196, 389, 279, 955, 315, 23570, 220, 18, 11766, 433, 16008, 33111, 389, 430, 2700, 13, 14636, 6933, 7766, 1053, 387, 1903, 3697, 315, 279, 6933, 6108, 76980, 1418, 7766, 1701, 2500, 32885, 11, 1778, 439, 4723, 616, 596, 20160, 4514, 2404, 29989, 19224, 320, 3378, 55, 8, 11766, 11, 1053, 387, 12893, 311, 264, 2204, 76980, 13, 1115, 3727, 5647, 439, 6933, 7766, 656, 539, 1205, 311, 1518, 6933, 55, 9629, 323, 17192, 46391, 627, 10445, 3009, 520, 23570, 220, 18, 30, 1102, 374, 3284, 311, 7124, 76980, 82, 824, 3851, 13, 41477, 1701, 279, 4435, 33845, 5000, 320, 46608, 8, 1053, 617, 16250, 311, 832, 76980, 323, 7766, 1701, 61269, 18559, 1053, 617, 16250, 311, 2500, 13, 1115, 24897, 430, 7766, 4401, 5361, 32885, 477, 5361, 8522, 1053, 9352, 311, 1690, 76980, 82, 13, 1115, 12207, 22223, 279, 1404, 315, 279, 7766, 529, 76980, 16250, 12920, 439, 1855, 3756, 374, 4461, 311, 617, 5361, 10925, 13, 96249, 264, 3756, 311, 1427, 4726, 1139, 264, 3338, 5864, 369, 2038, 389, 76980, 16250, 649, 12207, 5536, 1202, 5178, 627, 23030, 315, 11766, 6108, 76980, 82, 374, 4382, 304, 430, 3131, 279, 5718, 527, 743, 11, 76980, 16250, 374, 28598, 13, 4452, 11, 76980, 16250, 555, 11766, 28335, 311, 387, 5107, 311, 20498, 97508, 320, 36046, 994, 16250, 374, 3851, 43918, 8, 323, 374, 3629, 810, 12544, 1109, 433, 374, 5922, 627, 53, 24299, 43652, 555, 3804, 4816, 198, 64080, 287, 76980, 16250, 555, 52557, 374, 3196, 5304, 264, 3756, 753, 8830, 315, 6933, 1207, 53961, 13, 3296, 14624, 311, 30158, 9013, 323, 3411, 520, 279, 2592, 6933, 2686, 315, 264, 3756, 11, 279, 23546, 315, 279, 76980, 649, 387, 11075, 13, 41477, 527, 1243, 20816, 311, 264, 76980, 3196, 5304, 872, 6933, 8304, 35721, 320, 15734, 926, 8, 2686, 13, 1115, 8292, 1587, 539, 39580, 5196, 311, 1023, 32885, 430, 43111, 9993, 14564, 311, 7766, 439, 814, 4667, 311, 279, 4009, 320, 68, 1326, 2637, 4514, 2404, 29989, 19224, 320, 3378, 55, 8, 323, 6933, 753, 22648, 16492, 12499, 25590, 320, 52426, 7269, 40567, 13129, 2740, 32267, 430, 4305, 420, 5557, 690, 656, 779, 369, 6933, 13, 7089, 32885, 690, 387, 92274, 24784, 13, 1252, 81, 412, 481, 32885, 690, 387, 20816, 3196, 5304, 279, 23570, 220, 17, 11766, 3110, 2115, 13, 3804, 4816, 6108, 76980, 82, 649, 617, 4819, 449, 11594, 17789, 320, 72, 1770, 2637, 76980, 16250, 374, 539, 11075, 369, 264, 2700, 3156, 279, 3756, 92606, 2555, 4390, 791, 22934, 315, 76980, 16250, 555, 52557, 8292, 527, 430, 433, 374, 17392, 323, 7612, 2697, 6683, 627, 4599, 8821, 7766, 527, 2631, 311, 1862, 31357, 369, 264, 4279, 743, 315, 76980, 82, 11, 1884, 76980, 82, 1205, 311, 387, 8599, 3871, 13, 1115, 649, 387, 264, 12309, 64481, 1920, 13, 1789, 3187, 11, 1403, 32267, 12899, 2380, 76980, 82, 1855, 1397, 13537, 1990, 1855, 3480, 824, 76980, 13, 1115, 43154, 279, 20946, 2561, 369, 3932, 389, 2225, 32267, 13, 1442, 1070, 374, 264, 9457, 320, 269, 3622, 8, 8599, 311, 682, 76980, 82, 11, 2380, 9457, 38355, 20946, 11, 439, 1664, 439, 5066, 20946, 389, 279, 3480, 11, 1053, 387, 2631, 13, 1115, 374, 459, 11646, 3072, 627, 644, 5369, 311, 39928, 20946, 11, 584, 617, 5361, 7902, 1990, 279, 1890, 1403, 7106, 7766, 13, 1442, 832, 76980, 374, 34504, 34716, 11, 279, 34494, 389, 420, 2723, 374, 539, 2561, 369, 264, 17345, 34716, 76980, 311, 1005, 11, 1524, 3582, 814, 4667, 279, 1890, 1403, 7766, 13, 14636, 11, 584, 649, 1431, 4430, 279, 7902, 1990, 76980, 82, 311, 1935, 9610, 315, 279, 7319, 34494, 1990, 279, 7766, 13, 1442, 832, 315, 1521, 7902, 14865, 11, 279, 1023, 76980, 82, 1053, 18167, 320, 28753, 814, 1051, 539, 1701, 430, 2723, 705, 719, 279, 76980, 11911, 389, 430, 2723, 1053, 539, 11, 1524, 3582, 1070, 374, 2103, 264, 7106, 2723, 1990, 279, 7766, 13, 1226, 1436, 5155, 420, 555, 7999, 48832, 13537, 824, 76980, 11, 719, 420, 52875, 988, 279, 2700, 41421, 425, 323, 6996, 315, 2865, 11821, 4360, 1524, 4726, 627, 53, 24299, 38411, 287, 6276, 8599, 7766, 311, 4430, 264, 4279, 2723, 311, 7710, 828, 369, 8821, 76980, 82, 13, 71854, 584, 527, 47952, 12842, 2635, 287, 76980, 82, 4028, 264, 4279, 2723, 13, 1115, 5603, 706, 1403, 7720, 13, 1102, 26338, 279, 1396, 315, 20946, 2631, 311, 4667, 7766, 3871, 311, 1862, 5361, 4279, 76980, 82, 11, 323, 34494, 539, 1511, 555, 832, 76980, 374, 2561, 369, 2500, 311, 1005, 13, 1102, 3727, 5647, 430, 420, 4279, 2723, 3966, 311, 387, 315, 1579, 8824, 477, 433, 1053, 1893, 264, 88938, 13, 14636, 11, 76980, 38411, 287, 5557, 374, 1193, 2561, 520, 25753, 7191, 1109, 220, 1041, 80575, 627, 16834, 279, 1890, 2723, 369, 5361, 76980, 82, 3445, 584, 1205, 1063, 1648, 315, 25607, 1405, 279, 76980, 828, 4131, 505, 779, 430, 279, 1023, 842, 315, 279, 38411, 2723, 649, 4741, 279, 4124, 36001, 2949, 279, 4495, 76980, 13, 1115, 374, 2884, 555, 3794, 279, 78768, 3480, 520, 832, 842, 315, 279, 38411, 2723, 79253, 279, 4124, 1603, 433, 374, 3288, 4028, 279, 2723, 13, 578, 3480, 520, 279, 1023, 842, 29260, 279, 4877, 1603, 63204, 433, 4726, 627, 53, 24299, 1183, 3200, 287, 35653, 198, 77805, 220, 13135, 13, 16, 80, 323, 43234, 3507, 43, 320, 3386, 17259, 6074, 8, 527, 1403, 5627, 311, 4877, 264, 4124, 4028, 264, 38411, 291, 2723, 627, 791, 5410, 369, 38411, 287, 374, 220, 13135, 13, 16, 80, 43669, 2987, 13, 220, 13135, 13, 16, 80, 374, 7396, 555, 1455, 3480, 11, 9457, 11, 323, 4009, 3834, 3786, 320, 46047, 8, 29629, 311, 2187, 38411, 287, 1990, 1521, 7766, 627, 92137, 3507, 43, 574, 8040, 555, 43234, 11, 719, 43234, 706, 53319, 449, 1023, 29629, 311, 1304, 38411, 287, 927, 3507, 43, 3284, 1990, 43234, 32267, 323, 16692, 13, 1789, 3187, 11, 1219, 6733, 80, 323, 15984, 8356, 65315, 82, 449, 5696, 1862, 369, 3507, 43, 627, 18219, 3629, 1862, 5361, 38411, 287, 12823, 311, 1862, 264, 12172, 505, 864, 20885, 39437, 311, 10886, 6108, 39437, 627, 91, 27, 1331, 18, 29, 1277, 1129, 40173, 3914, 870, 484, 8437, 83, 916, 4420, 347, 9810, 7977, 14, 1049, 22, 80, 16, 5574, 10946, 17295, 18, 4, 22, 34, 13181, 524, 1331, 18, 29, 765, 21382, 47525, 91, 128001 ]
[ -100, 34126, 2254, 3158, 4009, 198, 34126, 8949, 12299, 39810, 320, 53, 24299, 477, 4200, 47525, 8, 2187, 5361, 20406, 2254, 3158, 14488, 320, 24299, 8, 311, 3073, 2949, 264, 3254, 7106, 47525, 13, 763, 1023, 4339, 11, 279, 47525, 82, 527, 4613, 304, 3241, 4856, 1109, 12035, 627, 38275, 279, 2768, 3187, 1405, 1403, 76980, 82, 527, 3549, 449, 264, 76980, 13171, 3480, 13, 3296, 1670, 11, 682, 20946, 389, 279, 1890, 3480, 6118, 9352, 311, 279, 1890, 47525, 4676, 13, 1115, 3445, 1070, 374, 264, 3254, 13195, 8106, 13, 8940, 6714, 279, 3480, 1139, 5361, 76980, 82, 71204, 73862, 20946, 311, 264, 76980, 477, 1063, 3169, 315, 13110, 369, 430, 1912, 315, 20946, 13, 763, 1057, 3187, 11, 1095, 753, 22864, 20946, 220, 16, 4235, 21, 311, 76980, 220, 16, 323, 20946, 220, 22, 4235, 717, 311, 76980, 220, 17, 13, 763, 420, 1510, 6683, 11, 7766, 12673, 311, 20946, 220, 16, 4235, 21, 649, 19570, 449, 1855, 1023, 11, 323, 7766, 12673, 311, 20946, 220, 22, 4235, 717, 649, 19570, 449, 1855, 1023, 11, 719, 1070, 374, 912, 1648, 369, 904, 3756, 389, 20946, 220, 16, 4235, 21, 311, 19570, 449, 904, 3756, 389, 20946, 220, 22, 4235, 717, 13, 1789, 3187, 11, 9629, 4036, 389, 2700, 220, 17, 690, 387, 312, 1485, 5600, 704, 20946, 449, 16250, 304, 76980, 220, 16, 320, 72, 1770, 2637, 20946, 220, 16, 323, 220, 18, 4235, 21, 570, 1226, 617, 1457, 3549, 1403, 8821, 13195, 31576, 13, 763, 2515, 11, 279, 3480, 374, 15718, 439, 422, 433, 1051, 1403, 8821, 32267, 627, 53, 24299, 16250, 649, 387, 12893, 555, 2700, 11, 23733, 2686, 11, 23570, 220, 18, 11766, 11, 477, 23570, 220, 18, 52557, 13, 1226, 527, 27409, 264, 4029, 315, 2802, 555, 4560, 311, 22712, 7766, 430, 649, 19570, 304, 264, 1648, 430, 26338, 279, 9629, 824, 47525, 13, 9062, 315, 1521, 12823, 11705, 264, 76980, 323, 1101, 5825, 5066, 97097, 304, 30230, 76980, 16250, 627, 53, 24299, 43652, 555, 5896, 198, 53, 24299, 16250, 555, 2700, 374, 279, 45648, 323, 1455, 4279, 24047, 315, 76980, 5557, 323, 649, 387, 12893, 20684, 477, 9651, 13, 14881, 824, 2700, 76980, 16250, 7612, 264, 4009, 29193, 311, 9993, 3927, 20946, 311, 64162, 76980, 82, 2949, 279, 4009, 13, 1115, 649, 387, 2884, 4669, 264, 4009, 6373, 8216, 1701, 264, 54243, 1217, 3834, 320, 20844, 8, 3834, 477, 555, 1615, 85669, 1139, 1855, 76980, 13171, 3756, 323, 1701, 430, 3756, 753, 3290, 1584, 3834, 13, 35081, 24691, 315, 20946, 1139, 76980, 82, 7612, 430, 279, 7766, 10491, 2700, 24691, 13, 1115, 649, 387, 2884, 3196, 5304, 4009, 2865, 477, 3932, 529, 29460, 627, 2409, 17392, 24691, 11, 20946, 649, 1193, 617, 16250, 304, 264, 3254, 76980, 13, 35081, 24691, 374, 3629, 1511, 311, 28696, 38314, 11, 11031, 11, 323, 4442, 2949, 264, 4009, 13, 3277, 264, 1217, 11031, 11, 568, 477, 1364, 63634, 1139, 279, 24379, 4009, 2700, 902, 279, 4009, 29193, 51012, 311, 279, 1217, 753, 4113, 76980, 13, 1115, 27024, 2109, 33024, 323, 98156, 315, 502, 7241, 304, 279, 19358, 33044, 13, 1050, 66342, 20946, 323, 3480, 20946, 389, 76980, 13171, 7766, 649, 387, 20816, 304, 420, 11827, 627, 53, 24299, 43652, 555, 23733, 9356, 198, 99729, 76980, 16250, 555, 23733, 2686, 374, 3629, 15375, 823, 88, 323, 892, 35208, 11, 323, 433, 374, 539, 3629, 11798, 13, 41477, 527, 12893, 311, 76980, 82, 4184, 311, 872, 23733, 2686, 11, 902, 3445, 7766, 3839, 23733, 14564, 311, 10491, 16250, 13, 1115, 374, 14614, 1193, 3970, 304, 76980, 13171, 32267, 627, 63717, 315, 1405, 389, 279, 4009, 264, 3756, 63634, 304, 11, 279, 4009, 51012, 430, 3756, 311, 279, 864, 82543, 76980, 11, 779, 6505, 3932, 649, 1005, 279, 1890, 23570, 220, 18, 2686, 323, 2680, 279, 1890, 5070, 15851, 315, 1405, 389, 279, 14054, 814, 527, 13, 1115, 1101, 3611, 2311, 279, 4009, 459, 3779, 8547, 315, 4868, 439, 7766, 430, 527, 539, 15324, 690, 539, 387, 16584, 311, 264, 76980, 13, 578, 12544, 449, 76980, 16250, 555, 23733, 14564, 374, 430, 279, 4009, 29193, 3966, 311, 1977, 323, 10519, 264, 1160, 315, 1475, 23733, 2686, 304, 279, 4009, 323, 76980, 16250, 13, 7357, 892, 264, 502, 3756, 374, 3779, 477, 264, 4009, 3834, 3786, 320, 46047, 8, 374, 12860, 11, 279, 76980, 2007, 3966, 311, 387, 6177, 13, 4427, 31956, 2187, 279, 29193, 311, 636, 264, 1054, 36601, 863, 315, 23733, 14564, 389, 279, 4009, 311, 3665, 3515, 311, 4034, 1475, 3756, 323, 3335, 279, 2686, 13, 1115, 1587, 539, 1520, 304, 279, 14529, 2007, 13709, 11, 902, 374, 1457, 9200, 311, 279, 4495, 5784, 315, 279, 4009, 627, 53, 24299, 43652, 555, 25590, 198, 99729, 76980, 16250, 555, 11766, 374, 19019, 10671, 47166, 439, 510, 3378, 60, 9731, 311, 41836, 520, 23570, 220, 18, 323, 60826, 834, 2050, 682, 1023, 27548, 13, 11208, 5361, 32885, 3136, 311, 3073, 11, 433, 374, 3284, 311, 617, 279, 3480, 9993, 20946, 311, 76980, 82, 3196, 389, 279, 955, 315, 23570, 220, 18, 11766, 433, 16008, 33111, 389, 430, 2700, 13, 14636, 6933, 7766, 1053, 387, 1903, 3697, 315, 279, 6933, 6108, 76980, 1418, 7766, 1701, 2500, 32885, 11, 1778, 439, 4723, 616, 596, 20160, 4514, 2404, 29989, 19224, 320, 3378, 55, 8, 11766, 11, 1053, 387, 12893, 311, 264, 2204, 76980, 13, 1115, 3727, 5647, 439, 6933, 7766, 656, 539, 1205, 311, 1518, 6933, 55, 9629, 323, 17192, 46391, 627, 10445, 3009, 520, 23570, 220, 18, 30, 1102, 374, 3284, 311, 7124, 76980, 82, 824, 3851, 13, 41477, 1701, 279, 4435, 33845, 5000, 320, 46608, 8, 1053, 617, 16250, 311, 832, 76980, 323, 7766, 1701, 61269, 18559, 1053, 617, 16250, 311, 2500, 13, 1115, 24897, 430, 7766, 4401, 5361, 32885, 477, 5361, 8522, 1053, 9352, 311, 1690, 76980, 82, 13, 1115, 12207, 22223, 279, 1404, 315, 279, 7766, 529, 76980, 16250, 12920, 439, 1855, 3756, 374, 4461, 311, 617, 5361, 10925, 13, 96249, 264, 3756, 311, 1427, 4726, 1139, 264, 3338, 5864, 369, 2038, 389, 76980, 16250, 649, 12207, 5536, 1202, 5178, 627, 23030, 315, 11766, 6108, 76980, 82, 374, 4382, 304, 430, 3131, 279, 5718, 527, 743, 11, 76980, 16250, 374, 28598, 13, 4452, 11, 76980, 16250, 555, 11766, 28335, 311, 387, 5107, 311, 20498, 97508, 320, 36046, 994, 16250, 374, 3851, 43918, 8, 323, 374, 3629, 810, 12544, 1109, 433, 374, 5922, 627, 53, 24299, 43652, 555, 3804, 4816, 198, 64080, 287, 76980, 16250, 555, 52557, 374, 3196, 5304, 264, 3756, 753, 8830, 315, 6933, 1207, 53961, 13, 3296, 14624, 311, 30158, 9013, 323, 3411, 520, 279, 2592, 6933, 2686, 315, 264, 3756, 11, 279, 23546, 315, 279, 76980, 649, 387, 11075, 13, 41477, 527, 1243, 20816, 311, 264, 76980, 3196, 5304, 872, 6933, 8304, 35721, 320, 15734, 926, 8, 2686, 13, 1115, 8292, 1587, 539, 39580, 5196, 311, 1023, 32885, 430, 43111, 9993, 14564, 311, 7766, 439, 814, 4667, 311, 279, 4009, 320, 68, 1326, 2637, 4514, 2404, 29989, 19224, 320, 3378, 55, 8, 323, 6933, 753, 22648, 16492, 12499, 25590, 320, 52426, 7269, 40567, 13129, 2740, 32267, 430, 4305, 420, 5557, 690, 656, 779, 369, 6933, 13, 7089, 32885, 690, 387, 92274, 24784, 13, 1252, 81, 412, 481, 32885, 690, 387, 20816, 3196, 5304, 279, 23570, 220, 17, 11766, 3110, 2115, 13, 3804, 4816, 6108, 76980, 82, 649, 617, 4819, 449, 11594, 17789, 320, 72, 1770, 2637, 76980, 16250, 374, 539, 11075, 369, 264, 2700, 3156, 279, 3756, 92606, 2555, 4390, 791, 22934, 315, 76980, 16250, 555, 52557, 8292, 527, 430, 433, 374, 17392, 323, 7612, 2697, 6683, 627, 4599, 8821, 7766, 527, 2631, 311, 1862, 31357, 369, 264, 4279, 743, 315, 76980, 82, 11, 1884, 76980, 82, 1205, 311, 387, 8599, 3871, 13, 1115, 649, 387, 264, 12309, 64481, 1920, 13, 1789, 3187, 11, 1403, 32267, 12899, 2380, 76980, 82, 1855, 1397, 13537, 1990, 1855, 3480, 824, 76980, 13, 1115, 43154, 279, 20946, 2561, 369, 3932, 389, 2225, 32267, 13, 1442, 1070, 374, 264, 9457, 320, 269, 3622, 8, 8599, 311, 682, 76980, 82, 11, 2380, 9457, 38355, 20946, 11, 439, 1664, 439, 5066, 20946, 389, 279, 3480, 11, 1053, 387, 2631, 13, 1115, 374, 459, 11646, 3072, 627, 644, 5369, 311, 39928, 20946, 11, 584, 617, 5361, 7902, 1990, 279, 1890, 1403, 7106, 7766, 13, 1442, 832, 76980, 374, 34504, 34716, 11, 279, 34494, 389, 420, 2723, 374, 539, 2561, 369, 264, 17345, 34716, 76980, 311, 1005, 11, 1524, 3582, 814, 4667, 279, 1890, 1403, 7766, 13, 14636, 11, 584, 649, 1431, 4430, 279, 7902, 1990, 76980, 82, 311, 1935, 9610, 315, 279, 7319, 34494, 1990, 279, 7766, 13, 1442, 832, 315, 1521, 7902, 14865, 11, 279, 1023, 76980, 82, 1053, 18167, 320, 28753, 814, 1051, 539, 1701, 430, 2723, 705, 719, 279, 76980, 11911, 389, 430, 2723, 1053, 539, 11, 1524, 3582, 1070, 374, 2103, 264, 7106, 2723, 1990, 279, 7766, 13, 1226, 1436, 5155, 420, 555, 7999, 48832, 13537, 824, 76980, 11, 719, 420, 52875, 988, 279, 2700, 41421, 425, 323, 6996, 315, 2865, 11821, 4360, 1524, 4726, 627, 53, 24299, 38411, 287, 6276, 8599, 7766, 311, 4430, 264, 4279, 2723, 311, 7710, 828, 369, 8821, 76980, 82, 13, 71854, 584, 527, 47952, 12842, 2635, 287, 76980, 82, 4028, 264, 4279, 2723, 13, 1115, 5603, 706, 1403, 7720, 13, 1102, 26338, 279, 1396, 315, 20946, 2631, 311, 4667, 7766, 3871, 311, 1862, 5361, 4279, 76980, 82, 11, 323, 34494, 539, 1511, 555, 832, 76980, 374, 2561, 369, 2500, 311, 1005, 13, 1102, 3727, 5647, 430, 420, 4279, 2723, 3966, 311, 387, 315, 1579, 8824, 477, 433, 1053, 1893, 264, 88938, 13, 14636, 11, 76980, 38411, 287, 5557, 374, 1193, 2561, 520, 25753, 7191, 1109, 220, 1041, 80575, 627, 16834, 279, 1890, 2723, 369, 5361, 76980, 82, 3445, 584, 1205, 1063, 1648, 315, 25607, 1405, 279, 76980, 828, 4131, 505, 779, 430, 279, 1023, 842, 315, 279, 38411, 2723, 649, 4741, 279, 4124, 36001, 2949, 279, 4495, 76980, 13, 1115, 374, 2884, 555, 3794, 279, 78768, 3480, 520, 832, 842, 315, 279, 38411, 2723, 79253, 279, 4124, 1603, 433, 374, 3288, 4028, 279, 2723, 13, 578, 3480, 520, 279, 1023, 842, 29260, 279, 4877, 1603, 63204, 433, 4726, 627, 53, 24299, 1183, 3200, 287, 35653, 198, 77805, 220, 13135, 13, 16, 80, 323, 43234, 3507, 43, 320, 3386, 17259, 6074, 8, 527, 1403, 5627, 311, 4877, 264, 4124, 4028, 264, 38411, 291, 2723, 627, 791, 5410, 369, 38411, 287, 374, 220, 13135, 13, 16, 80, 43669, 2987, 13, 220, 13135, 13, 16, 80, 374, 7396, 555, 1455, 3480, 11, 9457, 11, 323, 4009, 3834, 3786, 320, 46047, 8, 29629, 311, 2187, 38411, 287, 1990, 1521, 7766, 627, 92137, 3507, 43, 574, 8040, 555, 43234, 11, 719, 43234, 706, 53319, 449, 1023, 29629, 311, 1304, 38411, 287, 927, 3507, 43, 3284, 1990, 43234, 32267, 323, 16692, 13, 1789, 3187, 11, 1219, 6733, 80, 323, 15984, 8356, 65315, 82, 449, 5696, 1862, 369, 3507, 43, 627, 18219, 3629, 1862, 5361, 38411, 287, 12823, 311, 1862, 264, 12172, 505, 864, 20885, 39437, 311, 10886, 6108, 39437, 627, 91, 27, 1331, 18, 29, 1277, 1129, 40173, 3914, 870, 484, 8437, 83, 916, 4420, 347, 9810, 7977, 14, 1049, 22, 80, 16, 5574, 10946, 17295, 18, 4, 22, 34, 13181, 524, 1331, 18, 29, 765, 21382, 47525, 91, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869 ]
[ 128000, 1383, 3842, 549, 19271, 198, 35353, 11, 2362, 12690, 36027, 100036, 20349, 304, 872, 490, 15655, 527, 1093, 4384, 23634, 388, 889, 1825, 872, 10632, 323, 23492, 311, 31087, 6980, 11, 477, 311, 1520, 4933, 50851, 627, 6670, 57709, 1385, 3493, 10632, 369, 682, 11827, 315, 2324, 11, 2737, 48251, 11, 20229, 11, 43308, 323, 1153, 1264, 82, 13, 2435, 649, 3493, 594, 6100, 505, 8330, 5700, 323, 505, 1156, 22312, 287, 477, 43318, 20472, 11, 27863, 287, 8162, 79391, 323, 56028, 73119, 627, 4071, 1521, 20349, 527, 67503, 627, 6670, 20349, 14614, 31889, 927, 98713, 398, 1317, 18852, 11, 7170, 449, 279, 13291, 315, 7732, 375, 377, 388, 11, 2024, 92599, 477, 79902, 13, 2435, 527, 1455, 17037, 1766, 304, 279, 1455, 10195, 3697, 315, 264, 5021, 2559, 13, 18156, 11, 56429, 2320, 68485, 12690, 527, 5710, 12690, 430, 7293, 11509, 369, 11026, 627, 72326, 8985, 430, 10182, 2349, 11, 8558, 323, 1023, 3823, 7640, 527, 89019, 282, 6427, 279, 1917, 753, 24417, 12690, 11, 4737, 872, 57709, 1385, 1523, 449, 1124, 13, 423, 6478, 82, 323, 19428, 27176, 527, 4737, 8987, 26936, 82, 627, 14305, 4814, 374, 3728, 2476, 19201, 264, 2128, 315, 2291, 12855, 323, 1023, 14248, 304, 264, 5684, 4756, 6740, 304, 279, 2930, 8486, 393, 38658, 25002, 627, 2118, 8607, 61951, 15603, 527, 15098, 32971, 555, 279, 11295, 4814, 315, 3544, 12690, 449, 57709, 1385, 11, 264, 8060, 311, 20927, 502, 12690, 449, 57709, 1385, 11, 477, 2225, 2476, 279, 14248, 6267, 13, 1054, 8607, 13124, 315, 3823, 85160, 5353, 420, 3575, 11, 2737, 65174, 8558, 11, 29852, 4027, 61911, 11, 84550, 555, 13018, 51876, 11, 323, 279, 25949, 315, 39418, 11012, 49216, 791, 14248, 41223, 22673, 315, 469, 1791, 5893, 796, 355, 12690, 304, 279, 83209, 13673, 1614, 315, 23225, 11, 1063, 315, 902, 1051, 7982, 304, 5789, 4295, 2653, 2391, 31069, 30773, 56171, 304, 220, 1049, 24, 430, 7577, 220, 11908, 1274, 13, 2435, 1766, 459, 57376, 18174, 304, 279, 1396, 315, 56429, 92253, 57749, 627, 644, 5789, 35906, 40028, 555, 27176, 11, 279, 1396, 315, 56429, 92253, 12690, 19284, 505, 220, 10350, 304, 220, 1049, 21, 311, 220, 2983, 304, 220, 679, 17, 11, 19407, 84153, 279, 1396, 315, 20349, 2561, 369, 1005, 555, 30982, 1395, 977, 753, 1153, 1264, 82, 323, 1023, 20566, 13, 2030, 279, 18151, 1051, 1101, 55944, 304, 5789, 78622, 555, 4027, 25, 578, 1396, 315, 56429, 92253, 12690, 304, 1521, 5789, 11299, 505, 220, 17448, 304, 220, 2550, 22, 311, 220, 11068, 304, 220, 679, 16, 627, 35816, 574, 264, 8798, 38973, 11, 37846, 38973, 29528, 37393, 304, 279, 16779, 315, 3544, 12690, 2476, 3063, 32185, 6941, 100165, 76, 1155, 315, 279, 13673, 5165, 3907, 3309, 757, 304, 459, 2613, 13, 1054, 9673, 13124, 315, 14955, 527, 3970, 304, 1690, 13124, 315, 36658, 15603, 49216, 32576, 1524, 810, 17035, 11559, 11, 2391, 420, 4261, 315, 67503, 20349, 11, 539, 264, 3254, 502, 5021, 56429, 574, 14454, 304, 279, 4007, 3158, 2391, 279, 4553, 220, 868, 1667, 315, 3495, 13, 1102, 753, 439, 422, 11758, 315, 10632, 1051, 24788, 291, 719, 912, 502, 6305, 1051, 5918, 311, 8454, 1124, 13, 128001 ]
[ -100, 1383, 3842, 549, 19271, 198, 35353, 11, 2362, 12690, 36027, 100036, 20349, 304, 872, 490, 15655, 527, 1093, 4384, 23634, 388, 889, 1825, 872, 10632, 323, 23492, 311, 31087, 6980, 11, 477, 311, 1520, 4933, 50851, 627, 6670, 57709, 1385, 3493, 10632, 369, 682, 11827, 315, 2324, 11, 2737, 48251, 11, 20229, 11, 43308, 323, 1153, 1264, 82, 13, 2435, 649, 3493, 594, 6100, 505, 8330, 5700, 323, 505, 1156, 22312, 287, 477, 43318, 20472, 11, 27863, 287, 8162, 79391, 323, 56028, 73119, 627, 4071, 1521, 20349, 527, 67503, 627, 6670, 20349, 14614, 31889, 927, 98713, 398, 1317, 18852, 11, 7170, 449, 279, 13291, 315, 7732, 375, 377, 388, 11, 2024, 92599, 477, 79902, 13, 2435, 527, 1455, 17037, 1766, 304, 279, 1455, 10195, 3697, 315, 264, 5021, 2559, 13, 18156, 11, 56429, 2320, 68485, 12690, 527, 5710, 12690, 430, 7293, 11509, 369, 11026, 627, 72326, 8985, 430, 10182, 2349, 11, 8558, 323, 1023, 3823, 7640, 527, 89019, 282, 6427, 279, 1917, 753, 24417, 12690, 11, 4737, 872, 57709, 1385, 1523, 449, 1124, 13, 423, 6478, 82, 323, 19428, 27176, 527, 4737, 8987, 26936, 82, 627, 14305, 4814, 374, 3728, 2476, 19201, 264, 2128, 315, 2291, 12855, 323, 1023, 14248, 304, 264, 5684, 4756, 6740, 304, 279, 2930, 8486, 393, 38658, 25002, 627, 2118, 8607, 61951, 15603, 527, 15098, 32971, 555, 279, 11295, 4814, 315, 3544, 12690, 449, 57709, 1385, 11, 264, 8060, 311, 20927, 502, 12690, 449, 57709, 1385, 11, 477, 2225, 2476, 279, 14248, 6267, 13, 1054, 8607, 13124, 315, 3823, 85160, 5353, 420, 3575, 11, 2737, 65174, 8558, 11, 29852, 4027, 61911, 11, 84550, 555, 13018, 51876, 11, 323, 279, 25949, 315, 39418, 11012, 49216, 791, 14248, 41223, 22673, 315, 469, 1791, 5893, 796, 355, 12690, 304, 279, 83209, 13673, 1614, 315, 23225, 11, 1063, 315, 902, 1051, 7982, 304, 5789, 4295, 2653, 2391, 31069, 30773, 56171, 304, 220, 1049, 24, 430, 7577, 220, 11908, 1274, 13, 2435, 1766, 459, 57376, 18174, 304, 279, 1396, 315, 56429, 92253, 57749, 627, 644, 5789, 35906, 40028, 555, 27176, 11, 279, 1396, 315, 56429, 92253, 12690, 19284, 505, 220, 10350, 304, 220, 1049, 21, 311, 220, 2983, 304, 220, 679, 17, 11, 19407, 84153, 279, 1396, 315, 20349, 2561, 369, 1005, 555, 30982, 1395, 977, 753, 1153, 1264, 82, 323, 1023, 20566, 13, 2030, 279, 18151, 1051, 1101, 55944, 304, 5789, 78622, 555, 4027, 25, 578, 1396, 315, 56429, 92253, 12690, 304, 1521, 5789, 11299, 505, 220, 17448, 304, 220, 2550, 22, 311, 220, 11068, 304, 220, 679, 16, 627, 35816, 574, 264, 8798, 38973, 11, 37846, 38973, 29528, 37393, 304, 279, 16779, 315, 3544, 12690, 2476, 3063, 32185, 6941, 100165, 76, 1155, 315, 279, 13673, 5165, 3907, 3309, 757, 304, 459, 2613, 13, 1054, 9673, 13124, 315, 14955, 527, 3970, 304, 1690, 13124, 315, 36658, 15603, 49216, 32576, 1524, 810, 17035, 11559, 11, 2391, 420, 4261, 315, 67503, 20349, 11, 539, 264, 3254, 502, 5021, 56429, 574, 14454, 304, 279, 4007, 3158, 2391, 279, 4553, 220, 868, 1667, 315, 3495, 13, 1102, 753, 439, 422, 11758, 315, 10632, 1051, 24788, 291, 719, 912, 502, 6305, 1051, 5918, 311, 8454, 1124, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 11439, 311, 15796, 346, 8083, 6406, 11, 1070, 706, 1027, 459, 5376, 304, 3691, 69357, 8141, 315, 810, 1109, 220, 1399, 4, 2533, 5587, 220, 16, 267, 11, 323, 439, 315, 5587, 220, 845, 339, 220, 2131, 4, 315, 11062, 17136, 3691, 7363, 4646, 617, 1027, 704, 315, 990, 4245, 311, 20562, 12, 777, 627, 10438, 279, 20562, 12, 777, 28522, 11, 433, 3952, 459, 5578, 400, 19, 11, 931, 311, 400, 20, 11, 931, 311, 1629, 264, 3691, 69357, 304, 15796, 346, 8083, 6406, 369, 459, 4553, 2305, 11, 779, 2980, 1148, 430, 1205, 323, 20900, 706, 41482, 311, 449, 279, 6372, 315, 20562, 12, 777, 627, 1271, 1520, 3449, 430, 1205, 11, 15796, 346, 8083, 6406, 706, 53319, 449, 15796, 346, 8083, 432, 23988, 320, 697, 7601, 505, 32708, 73378, 38756, 705, 264, 2536, 28926, 7471, 1903, 709, 315, 264, 26283, 315, 10082, 6108, 323, 2536, 28926, 11351, 11, 9873, 11, 52811, 13607, 11, 323, 7931, 12514, 311, 46927, 1884, 889, 617, 1027, 12697, 315, 21426, 555, 75510, 3871, 4029, 5070, 323, 13291, 627, 6153, 3318, 15499, 449, 279, 3691, 7363, 4646, 323, 3158, 13607, 11, 15796, 346, 8083, 432, 23988, 706, 11887, 264, 37419, 4901, 11, 2663, 29970, 15796, 346, 8083, 11, 449, 264, 5915, 315, 19054, 400, 1041, 11, 931, 311, 1520, 3887, 323, 1862, 3691, 7363, 4646, 304, 15796, 346, 8083, 6406, 23442, 279, 7432, 26376, 2114, 12, 777, 28522, 627, 14305, 11775, 70920, 11, 1101, 3967, 439, 20562, 12, 777, 11, 374, 264, 3131, 304, 264, 19569, 1567, 430, 706, 19543, 304, 14247, 323, 25984, 50446, 2001, 449, 1690, 315, 15796, 346, 8083, 6406, 753, 2653, 64992, 11062, 1694, 11754, 73152, 2476, 1071, 6406, 30454, 32866, 18925, 4910, 13, 1054, 29132, 74771, 449, 3691, 8141, 304, 279, 393, 2003, 66, 12699, 3158, 11, 358, 13383, 682, 2288, 1664, 279, 7631, 369, 6913, 76500, 11, 1778, 439, 3691, 11, 374, 22798, 13, 3011, 753, 3249, 358, 4344, 43676, 5127, 889, 649, 311, 3041, 8996, 814, 649, 311, 1520, 603, 4017, 279, 6372, 315, 3691, 74935, 304, 1057, 4029, 13, 1628, 422, 499, 1541, 1431, 617, 279, 5845, 311, 17210, 39075, 11, 422, 499, 527, 3025, 11, 4587, 2980, 70438, 520, 264, 69357, 439, 264, 1648, 311, 1520, 49216, 1271, 10536, 1022, 279, 4901, 11, 279, 15347, 46142, 77419, 10349, 11, 889, 18939, 832, 315, 1057, 4029, 753, 22807, 56703, 32006, 11, 578, 15347, 46142, 432, 536, 78, 11, 65178, 16626, 311, 33009, 400, 18, 11, 931, 369, 279, 7195, 323, 16388, 279, 4029, 690, 2489, 433, 627, 44259, 82, 323, 29939, 527, 1401, 6041, 3585, 369, 13147, 10235, 2136, 323, 1862, 369, 4029, 13654, 9045, 13, 15796, 346, 8083, 432, 23988, 374, 6319, 311, 387, 264, 57193, 5502, 3318, 449, 279, 2254, 3109, 311, 6106, 10495, 529, 3966, 527, 2322, 323, 6106, 15796, 346, 8083, 6406, 4780, 311, 4725, 11377, 439, 6288, 439, 3284, 13, 1789, 810, 2038, 922, 15796, 346, 8083, 432, 23988, 323, 1202, 29970, 15796, 346, 8083, 4901, 11, 4587, 4034, 3926, 16490, 437, 346, 8083, 2726, 13, 128001, 128000, 29755, 810, 704, 315, 13970, 9477, 1109, 3596, 1603, 449, 1614, 8838, 10826, 38921, 5557, 1389, 430, 374, 35407, 25566, 753, 9131, 13, 1628, 10120, 24681, 301, 753, 32208, 32477, 18809, 279, 4121, 14268, 627, 73092, 1189, 25566, 374, 264, 39143, 380, 449, 11376, 627, 2170, 4216, 220, 2550, 18, 11, 420, 47378, 505, 21181, 574, 39661, 389, 1579, 22867, 6067, 311, 16099, 553, 5448, 13, 1054, 644, 1884, 2919, 11, 1057, 3016, 51453, 44660, 14918, 315, 51677, 11, 20797, 323, 39104, 902, 18182, 30526, 279, 8592, 3284, 4367, 9520, 568, 43457, 13, 5414, 2883, 50442, 19876, 12886, 1389, 323, 6444, 527, 2103, 5108, 3432, 627, 18433, 369, 810, 1109, 220, 3965, 1667, 11, 279, 3446, 315, 279, 1917, 574, 12715, 389, 4632, 26, 1603, 430, 11, 1274, 24937, 9364, 1389, 323, 1524, 304, 220, 679, 23, 11, 1070, 374, 2103, 82037, 21468, 2217, 3769, 9967, 304, 15039, 304, 1651, 1233, 323, 2849, 1590, 555, 279, 8941, 13, 578, 10205, 315, 279, 7528, 4325, 6137, 4661, 220, 966, 1667, 4227, 627, 2118, 3792, 1243, 11, 584, 1317, 291, 369, 12207, 2731, 4367, 1389, 279, 5557, 574, 2103, 304, 1202, 86617, 304, 279, 220, 1954, 82, 9520, 25566, 41231, 13, 7570, 304, 1884, 2919, 11, 813, 8063, 574, 539, 1193, 311, 3041, 6444, 7528, 11236, 719, 1101, 2731, 86690, 627, 32, 11376, 902, 15453, 19168, 17395, 13, 1789, 264, 1317, 892, 11, 584, 1511, 264, 21438, 505, 20742, 267, 449, 902, 584, 16099, 1534, 810, 1109, 264, 3610, 5448, 927, 279, 3388, 315, 220, 972, 1667, 13, 1054, 2181, 574, 810, 477, 2753, 279, 1193, 3072, 9520, 25566, 43457, 13, 4452, 11, 2853, 15374, 323, 4367, 1051, 264, 1972, 3575, 11, 568, 5415, 13, 1628, 311, 2107, 433, 682, 11, 279, 14290, 8036, 1523, 813, 1862, 627, 77197, 27600, 369, 459, 10778, 323, 3782, 709, 490, 12055, 25, 264, 43122, 301, 2067, 329, 27233, 275, 492, 1630, 20, 24074, 21438, 574, 1511, 505, 1070, 389, 13, 362, 6485, 6710, 315, 7241, 902, 37260, 11774, 369, 279, 2128, 13, 1054, 2181, 3952, 832, 323, 264, 4376, 4520, 311, 8737, 264, 220, 1758, 9653, 15332, 11, 7438, 430, 264, 7340, 315, 220, 1272, 5448, 1436, 387, 48548, 304, 459, 6596, 9520, 25566, 15100, 627, 791, 5435, 315, 15374, 11957, 52299, 304, 264, 55867, 369, 279, 47378, 25, 311, 14435, 72643, 311, 4367, 323, 17631, 389, 264, 10819, 1887, 477, 311, 3719, 2288, 11646, 927, 279, 1317, 4751, 13, 1054, 40, 7846, 1431, 64508, 279, 1176, 3072, 449, 856, 16565, 11, 323, 779, 433, 6244, 3596, 16127, 311, 1505, 6444, 9520, 568, 2795, 627, 791, 16099, 2065, 24687, 505, 350, 2448, 7278, 268, 449, 927, 220, 1135, 1667, 315, 3217, 706, 1101, 14134, 6982, 5196, 13171, 315, 15389, 369, 323, 9455, 10105, 369, 22785, 11774, 13, 1054, 2170, 264, 3728, 19353, 11, 10120, 24681, 301, 574, 3025, 311, 3085, 603, 279, 682, 21691, 6462, 430, 584, 77720, 4460, 9520, 25566, 9731, 627, 60562, 24681, 301, 1550, 13118, 7195, 1202, 32208, 32477, 520, 1120, 279, 1314, 892, 304, 6250, 220, 679, 22, 25, 276, 682, 3502, 19101, 16099, 4954, 6425, 10209, 279, 8592, 4367, 627, 60562, 24681, 301, 753, 32208, 32477, 374, 264, 44993, 1887, 13, 1102, 17610, 315, 264, 6382, 449, 264, 7528, 1203, 505, 28673, 4054, 11, 91229, 36057, 505, 10120, 24681, 301, 323, 459, 469, 12184, 13953, 18186, 1887, 1389, 682, 32762, 304, 264, 6573, 2385, 13, 578, 7528, 1203, 4131, 304, 1403, 11028, 25, 449, 43595, 315, 220, 1135, 477, 220, 1041, 19262, 391, 10486, 627, 31428, 6956, 2997, 264, 3177, 3830, 11, 2217, 29809, 369, 279, 6685, 7384, 439, 1664, 439, 279, 16099, 2065, 3241, 1054, 64588, 7907, 27668, 11453, 1628, 4619, 315, 832, 323, 264, 4376, 4520, 11, 279, 1887, 1457, 3966, 264, 17983, 1403, 6622, 311, 4686, 459, 2217, 627, 4071, 304, 34781, 315, 279, 5199, 5376, 304, 15374, 11, 279, 5357, 1101, 14958, 389, 279, 832, 3917, 25237, 311, 35407, 25566, 753, 4851, 13, 1054, 1687, 3952, 2294, 2512, 2391, 4500, 311, 6106, 430, 279, 6484, 40851, 323, 10886, 369, 2217, 4367, 527, 539, 1120, 2322, 11, 719, 34908, 9520, 59623, 622, 3029, 2026, 67011, 1565, 627, 11439, 398, 11, 279, 10120, 24681, 301, 32208, 32477, 6209, 459, 2217, 4367, 11, 902, 36375, 279, 19705, 315, 279, 9749, 16099, 2065, 17959, 315, 435, 1846, 29134, 11, 6344, 309, 269, 831, 3059, 323, 22705, 12, 5926, 1227, 12, 16, 13, 1628, 439, 279, 990, 14134, 18065, 13970, 3769, 11, 10120, 24681, 301, 753, 32208, 32477, 13262, 4377, 449, 79515, 11, 1701, 34440, 13414, 3177, 4619, 430, 374, 24026, 520, 264, 5213, 2106, 2237, 449, 279, 46058, 22828, 1193, 27851, 7319, 369, 279, 8737, 5196, 627, 17818, 574, 1101, 8104, 3062, 311, 757, 430, 279, 14290, 6209, 1695, 1862, 9520, 25566, 2795, 13, 2876, 1193, 1587, 10120, 24681, 301, 8312, 279, 1887, 719, 433, 1101, 6209, 6721, 1862, 369, 23669, 29388, 1389, 1101, 505, 264, 11156, 13356, 13, 1054, 2170, 32208, 32477, 374, 6319, 304, 264, 44993, 11401, 11, 502, 30116, 26006, 649, 387, 17189, 69, 3847, 520, 904, 892, 9520, 67011, 1565, 15100, 627, 45945, 505, 279, 6875, 323, 18624, 4676, 527, 1101, 15098, 26192, 36201, 3600, 369, 18300, 7384, 1778, 439, 4632, 323, 22245, 16662, 279, 16099, 2065, 315, 6603, 323, 1023, 6965, 9477, 13, 1054, 791, 1887, 649, 13524, 656, 4395, 2029, 2057, 2457, 11, 25566, 706, 48548, 2212, 220, 1272, 11, 931, 4632, 5448, 520, 220, 1041, 19262, 391, 10486, 1701, 32208, 32477, 627, 791, 9341, 706, 9539, 7318, 369, 5196, 26, 1054, 1687, 527, 7556, 264, 2204, 13167, 304, 15374, 1389, 4619, 315, 220, 1272, 5448, 11, 584, 649, 16099, 553, 709, 311, 220, 5067, 824, 6596, 902, 6276, 603, 311, 3085, 1633, 19411, 3430, 3585, 9520, 25566, 95889, 13, 1115, 16264, 709, 4459, 502, 5315, 315, 6444, 11, 568, 15100, 11, 323, 1524, 879, 6444, 527, 1457, 8173, 304, 41577, 872, 39104, 369, 279, 3938, 449, 25566, 627, 4071, 1790, 810, 23659, 25, 279, 4367, 374, 1457, 2731, 1109, 3596, 1603, 13, 1054, 12947, 311, 279, 23205, 8915, 2134, 315, 28673, 4054, 11, 584, 649, 8819, 3649, 505, 75185, 430, 912, 19101, 706, 3596, 3970, 2029, 1115, 374, 3515, 264, 30191, 2515, 369, 51677, 323, 51801, 627, 2028, 4652, 439, 1027, 4756, 555, 8604, 2180, 354, 454, 22550, 2337, 13, 128001, 128000, 33488, 18231, 3131, 7633, 76337, 12201, 439, 279, 330, 3983, 17240, 315, 3778, 5609, 3343, 6385, 7076, 706, 43603, 4661, 1475, 13189, 315, 1501, 2626, 11, 31797, 11230, 24577, 11, 37776, 6917, 323, 5127, 596, 19214, 12707, 6691, 304, 364, 791, 4366, 37977, 12517, 6, 16662, 3094, 942, 6941, 92897, 13, 1952, 4264, 11, 12201, 374, 21901, 398, 27569, 369, 1077, 24601, 304, 279, 5818, 18273, 82, 364, 46, 10784, 28940, 39792, 364, 43466, 518, 364, 29146, 10919, 6, 323, 364, 791, 10948, 2418, 4527, 1115, 8176, 374, 459, 16358, 4526, 315, 1521, 4113, 38140, 505, 1077, 1317, 323, 28830, 7076, 16662, 502, 58689, 315, 1521, 58105, 18273, 53805, 627, 19962, 25166, 22293, 86454, 3725, 56030, 279, 13291, 315, 76337, 12201, 323, 56254, 25913, 2053, 304, 20646, 420, 4526, 369, 4984, 627, 128001 ]
[ -100, 11439, 311, 15796, 346, 8083, 6406, 11, 1070, 706, 1027, 459, 5376, 304, 3691, 69357, 8141, 315, 810, 1109, 220, 1399, 4, 2533, 5587, 220, 16, 267, 11, 323, 439, 315, 5587, 220, 845, 339, 220, 2131, 4, 315, 11062, 17136, 3691, 7363, 4646, 617, 1027, 704, 315, 990, 4245, 311, 20562, 12, 777, 627, 10438, 279, 20562, 12, 777, 28522, 11, 433, 3952, 459, 5578, 400, 19, 11, 931, 311, 400, 20, 11, 931, 311, 1629, 264, 3691, 69357, 304, 15796, 346, 8083, 6406, 369, 459, 4553, 2305, 11, 779, 2980, 1148, 430, 1205, 323, 20900, 706, 41482, 311, 449, 279, 6372, 315, 20562, 12, 777, 627, 1271, 1520, 3449, 430, 1205, 11, 15796, 346, 8083, 6406, 706, 53319, 449, 15796, 346, 8083, 432, 23988, 320, 697, 7601, 505, 32708, 73378, 38756, 705, 264, 2536, 28926, 7471, 1903, 709, 315, 264, 26283, 315, 10082, 6108, 323, 2536, 28926, 11351, 11, 9873, 11, 52811, 13607, 11, 323, 7931, 12514, 311, 46927, 1884, 889, 617, 1027, 12697, 315, 21426, 555, 75510, 3871, 4029, 5070, 323, 13291, 627, 6153, 3318, 15499, 449, 279, 3691, 7363, 4646, 323, 3158, 13607, 11, 15796, 346, 8083, 432, 23988, 706, 11887, 264, 37419, 4901, 11, 2663, 29970, 15796, 346, 8083, 11, 449, 264, 5915, 315, 19054, 400, 1041, 11, 931, 311, 1520, 3887, 323, 1862, 3691, 7363, 4646, 304, 15796, 346, 8083, 6406, 23442, 279, 7432, 26376, 2114, 12, 777, 28522, 627, 14305, 11775, 70920, 11, 1101, 3967, 439, 20562, 12, 777, 11, 374, 264, 3131, 304, 264, 19569, 1567, 430, 706, 19543, 304, 14247, 323, 25984, 50446, 2001, 449, 1690, 315, 15796, 346, 8083, 6406, 753, 2653, 64992, 11062, 1694, 11754, 73152, 2476, 1071, 6406, 30454, 32866, 18925, 4910, 13, 1054, 29132, 74771, 449, 3691, 8141, 304, 279, 393, 2003, 66, 12699, 3158, 11, 358, 13383, 682, 2288, 1664, 279, 7631, 369, 6913, 76500, 11, 1778, 439, 3691, 11, 374, 22798, 13, 3011, 753, 3249, 358, 4344, 43676, 5127, 889, 649, 311, 3041, 8996, 814, 649, 311, 1520, 603, 4017, 279, 6372, 315, 3691, 74935, 304, 1057, 4029, 13, 1628, 422, 499, 1541, 1431, 617, 279, 5845, 311, 17210, 39075, 11, 422, 499, 527, 3025, 11, 4587, 2980, 70438, 520, 264, 69357, 439, 264, 1648, 311, 1520, 49216, 1271, 10536, 1022, 279, 4901, 11, 279, 15347, 46142, 77419, 10349, 11, 889, 18939, 832, 315, 1057, 4029, 753, 22807, 56703, 32006, 11, 578, 15347, 46142, 432, 536, 78, 11, 65178, 16626, 311, 33009, 400, 18, 11, 931, 369, 279, 7195, 323, 16388, 279, 4029, 690, 2489, 433, 627, 44259, 82, 323, 29939, 527, 1401, 6041, 3585, 369, 13147, 10235, 2136, 323, 1862, 369, 4029, 13654, 9045, 13, 15796, 346, 8083, 432, 23988, 374, 6319, 311, 387, 264, 57193, 5502, 3318, 449, 279, 2254, 3109, 311, 6106, 10495, 529, 3966, 527, 2322, 323, 6106, 15796, 346, 8083, 6406, 4780, 311, 4725, 11377, 439, 6288, 439, 3284, 13, 1789, 810, 2038, 922, 15796, 346, 8083, 432, 23988, 323, 1202, 29970, 15796, 346, 8083, 4901, 11, 4587, 4034, 3926, 16490, 437, 346, 8083, 2726, 13, 128001, -100, 29755, 810, 704, 315, 13970, 9477, 1109, 3596, 1603, 449, 1614, 8838, 10826, 38921, 5557, 1389, 430, 374, 35407, 25566, 753, 9131, 13, 1628, 10120, 24681, 301, 753, 32208, 32477, 18809, 279, 4121, 14268, 627, 73092, 1189, 25566, 374, 264, 39143, 380, 449, 11376, 627, 2170, 4216, 220, 2550, 18, 11, 420, 47378, 505, 21181, 574, 39661, 389, 1579, 22867, 6067, 311, 16099, 553, 5448, 13, 1054, 644, 1884, 2919, 11, 1057, 3016, 51453, 44660, 14918, 315, 51677, 11, 20797, 323, 39104, 902, 18182, 30526, 279, 8592, 3284, 4367, 9520, 568, 43457, 13, 5414, 2883, 50442, 19876, 12886, 1389, 323, 6444, 527, 2103, 5108, 3432, 627, 18433, 369, 810, 1109, 220, 3965, 1667, 11, 279, 3446, 315, 279, 1917, 574, 12715, 389, 4632, 26, 1603, 430, 11, 1274, 24937, 9364, 1389, 323, 1524, 304, 220, 679, 23, 11, 1070, 374, 2103, 82037, 21468, 2217, 3769, 9967, 304, 15039, 304, 1651, 1233, 323, 2849, 1590, 555, 279, 8941, 13, 578, 10205, 315, 279, 7528, 4325, 6137, 4661, 220, 966, 1667, 4227, 627, 2118, 3792, 1243, 11, 584, 1317, 291, 369, 12207, 2731, 4367, 1389, 279, 5557, 574, 2103, 304, 1202, 86617, 304, 279, 220, 1954, 82, 9520, 25566, 41231, 13, 7570, 304, 1884, 2919, 11, 813, 8063, 574, 539, 1193, 311, 3041, 6444, 7528, 11236, 719, 1101, 2731, 86690, 627, 32, 11376, 902, 15453, 19168, 17395, 13, 1789, 264, 1317, 892, 11, 584, 1511, 264, 21438, 505, 20742, 267, 449, 902, 584, 16099, 1534, 810, 1109, 264, 3610, 5448, 927, 279, 3388, 315, 220, 972, 1667, 13, 1054, 2181, 574, 810, 477, 2753, 279, 1193, 3072, 9520, 25566, 43457, 13, 4452, 11, 2853, 15374, 323, 4367, 1051, 264, 1972, 3575, 11, 568, 5415, 13, 1628, 311, 2107, 433, 682, 11, 279, 14290, 8036, 1523, 813, 1862, 627, 77197, 27600, 369, 459, 10778, 323, 3782, 709, 490, 12055, 25, 264, 43122, 301, 2067, 329, 27233, 275, 492, 1630, 20, 24074, 21438, 574, 1511, 505, 1070, 389, 13, 362, 6485, 6710, 315, 7241, 902, 37260, 11774, 369, 279, 2128, 13, 1054, 2181, 3952, 832, 323, 264, 4376, 4520, 311, 8737, 264, 220, 1758, 9653, 15332, 11, 7438, 430, 264, 7340, 315, 220, 1272, 5448, 1436, 387, 48548, 304, 459, 6596, 9520, 25566, 15100, 627, 791, 5435, 315, 15374, 11957, 52299, 304, 264, 55867, 369, 279, 47378, 25, 311, 14435, 72643, 311, 4367, 323, 17631, 389, 264, 10819, 1887, 477, 311, 3719, 2288, 11646, 927, 279, 1317, 4751, 13, 1054, 40, 7846, 1431, 64508, 279, 1176, 3072, 449, 856, 16565, 11, 323, 779, 433, 6244, 3596, 16127, 311, 1505, 6444, 9520, 568, 2795, 627, 791, 16099, 2065, 24687, 505, 350, 2448, 7278, 268, 449, 927, 220, 1135, 1667, 315, 3217, 706, 1101, 14134, 6982, 5196, 13171, 315, 15389, 369, 323, 9455, 10105, 369, 22785, 11774, 13, 1054, 2170, 264, 3728, 19353, 11, 10120, 24681, 301, 574, 3025, 311, 3085, 603, 279, 682, 21691, 6462, 430, 584, 77720, 4460, 9520, 25566, 9731, 627, 60562, 24681, 301, 1550, 13118, 7195, 1202, 32208, 32477, 520, 1120, 279, 1314, 892, 304, 6250, 220, 679, 22, 25, 276, 682, 3502, 19101, 16099, 4954, 6425, 10209, 279, 8592, 4367, 627, 60562, 24681, 301, 753, 32208, 32477, 374, 264, 44993, 1887, 13, 1102, 17610, 315, 264, 6382, 449, 264, 7528, 1203, 505, 28673, 4054, 11, 91229, 36057, 505, 10120, 24681, 301, 323, 459, 469, 12184, 13953, 18186, 1887, 1389, 682, 32762, 304, 264, 6573, 2385, 13, 578, 7528, 1203, 4131, 304, 1403, 11028, 25, 449, 43595, 315, 220, 1135, 477, 220, 1041, 19262, 391, 10486, 627, 31428, 6956, 2997, 264, 3177, 3830, 11, 2217, 29809, 369, 279, 6685, 7384, 439, 1664, 439, 279, 16099, 2065, 3241, 1054, 64588, 7907, 27668, 11453, 1628, 4619, 315, 832, 323, 264, 4376, 4520, 11, 279, 1887, 1457, 3966, 264, 17983, 1403, 6622, 311, 4686, 459, 2217, 627, 4071, 304, 34781, 315, 279, 5199, 5376, 304, 15374, 11, 279, 5357, 1101, 14958, 389, 279, 832, 3917, 25237, 311, 35407, 25566, 753, 4851, 13, 1054, 1687, 3952, 2294, 2512, 2391, 4500, 311, 6106, 430, 279, 6484, 40851, 323, 10886, 369, 2217, 4367, 527, 539, 1120, 2322, 11, 719, 34908, 9520, 59623, 622, 3029, 2026, 67011, 1565, 627, 11439, 398, 11, 279, 10120, 24681, 301, 32208, 32477, 6209, 459, 2217, 4367, 11, 902, 36375, 279, 19705, 315, 279, 9749, 16099, 2065, 17959, 315, 435, 1846, 29134, 11, 6344, 309, 269, 831, 3059, 323, 22705, 12, 5926, 1227, 12, 16, 13, 1628, 439, 279, 990, 14134, 18065, 13970, 3769, 11, 10120, 24681, 301, 753, 32208, 32477, 13262, 4377, 449, 79515, 11, 1701, 34440, 13414, 3177, 4619, 430, 374, 24026, 520, 264, 5213, 2106, 2237, 449, 279, 46058, 22828, 1193, 27851, 7319, 369, 279, 8737, 5196, 627, 17818, 574, 1101, 8104, 3062, 311, 757, 430, 279, 14290, 6209, 1695, 1862, 9520, 25566, 2795, 13, 2876, 1193, 1587, 10120, 24681, 301, 8312, 279, 1887, 719, 433, 1101, 6209, 6721, 1862, 369, 23669, 29388, 1389, 1101, 505, 264, 11156, 13356, 13, 1054, 2170, 32208, 32477, 374, 6319, 304, 264, 44993, 11401, 11, 502, 30116, 26006, 649, 387, 17189, 69, 3847, 520, 904, 892, 9520, 67011, 1565, 15100, 627, 45945, 505, 279, 6875, 323, 18624, 4676, 527, 1101, 15098, 26192, 36201, 3600, 369, 18300, 7384, 1778, 439, 4632, 323, 22245, 16662, 279, 16099, 2065, 315, 6603, 323, 1023, 6965, 9477, 13, 1054, 791, 1887, 649, 13524, 656, 4395, 2029, 2057, 2457, 11, 25566, 706, 48548, 2212, 220, 1272, 11, 931, 4632, 5448, 520, 220, 1041, 19262, 391, 10486, 1701, 32208, 32477, 627, 791, 9341, 706, 9539, 7318, 369, 5196, 26, 1054, 1687, 527, 7556, 264, 2204, 13167, 304, 15374, 1389, 4619, 315, 220, 1272, 5448, 11, 584, 649, 16099, 553, 709, 311, 220, 5067, 824, 6596, 902, 6276, 603, 311, 3085, 1633, 19411, 3430, 3585, 9520, 25566, 95889, 13, 1115, 16264, 709, 4459, 502, 5315, 315, 6444, 11, 568, 15100, 11, 323, 1524, 879, 6444, 527, 1457, 8173, 304, 41577, 872, 39104, 369, 279, 3938, 449, 25566, 627, 4071, 1790, 810, 23659, 25, 279, 4367, 374, 1457, 2731, 1109, 3596, 1603, 13, 1054, 12947, 311, 279, 23205, 8915, 2134, 315, 28673, 4054, 11, 584, 649, 8819, 3649, 505, 75185, 430, 912, 19101, 706, 3596, 3970, 2029, 1115, 374, 3515, 264, 30191, 2515, 369, 51677, 323, 51801, 627, 2028, 4652, 439, 1027, 4756, 555, 8604, 2180, 354, 454, 22550, 2337, 13, 128001, -100, 33488, 18231, 3131, 7633, 76337, 12201, 439, 279, 330, 3983, 17240, 315, 3778, 5609, 3343, 6385, 7076, 706, 43603, 4661, 1475, 13189, 315, 1501, 2626, 11, 31797, 11230, 24577, 11, 37776, 6917, 323, 5127, 596, 19214, 12707, 6691, 304, 364, 791, 4366, 37977, 12517, 6, 16662, 3094, 942, 6941, 92897, 13, 1952, 4264, 11, 12201, 374, 21901, 398, 27569, 369, 1077, 24601, 304, 279, 5818, 18273, 82, 364, 46, 10784, 28940, 39792, 364, 43466, 518, 364, 29146, 10919, 6, 323, 364, 791, 10948, 2418, 4527, 1115, 8176, 374, 459, 16358, 4526, 315, 1521, 4113, 38140, 505, 1077, 1317, 323, 28830, 7076, 16662, 502, 58689, 315, 1521, 58105, 18273, 53805, 627, 19962, 25166, 22293, 86454, 3725, 56030, 279, 13291, 315, 76337, 12201, 323, 56254, 25913, 2053, 304, 20646, 420, 4526, 369, 4984, 627, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133 ]
[ 128000, 34, 26664, 220, 777, 666, 25156, 3216, 77417, 13, 5046, 279, 220, 3391, 1176, 8019, 292, 2298, 5157, 279, 272, 7783, 11007, 323, 34156, 304, 279, 577, 516, 2637, 8223, 1274, 5068, 61880, 477, 63571, 13, 578, 17649, 584, 22690, 5039, 279, 39775, 315, 61880, 21986, 505, 220, 16, 4, 311, 220, 966, 4, 719, 449, 264, 23369, 39775, 315, 220, 605, 13, 20, 13689, 4528, 311, 430, 315, 69393, 719, 2753, 1109, 430, 315, 63571, 320, 22, 4, 4390, 11076, 13803, 2997, 40700, 287, 11, 34653, 11, 4814, 315, 22843, 320, 44705, 91299, 8, 323, 12945, 320, 425, 355, 689, 705, 449, 2753, 4279, 6305, 2737, 55403, 11, 72188, 55146, 323, 1629, 3919, 19689, 11, 16124, 6784, 11, 36366, 28691, 11, 69393, 11, 8071, 66510, 11, 323, 45713, 55307, 477, 13353, 25977, 11, 323, 304, 24070, 311, 15748, 13, 8886, 61880, 323, 63571, 84117, 13803, 30, 2684, 596, 264, 2697, 2555, 389, 6412, 627, 8538, 9029, 10699, 8886, 12799, 3161, 578, 70920, 3297, 21460, 362, 435, 8934, 287, 32252, 367, 1174, 26080, 16910, 2893, 356, 1409, 287, 3216, 20671, 627, 60210, 1766, 430, 11, 304, 5369, 311, 8582, 42631, 13803, 11, 264, 5199, 1396, 315, 1884, 14363, 449, 279, 502, 17188, 1101, 16654, 505, 13, 9176, 8125, 649, 4762, 5353, 61880, 323, 63571, 11, 2737, 17188, 19405, 11, 46417, 47288, 2077, 11, 5623, 3185, 6372, 323, 24064, 35104, 13, 77417, 8541, 311, 31889, 2212, 220, 17, 311, 220, 20, 2919, 1306, 264, 1732, 374, 29374, 11, 719, 13803, 649, 1935, 709, 311, 220, 975, 2919, 311, 1501, 627, 37, 2099, 2582, 921, 3385, 356, 1409, 10928, 2136, 5046, 58292, 2582, 56046, 11681, 44661, 26417, 22711, 68427, 2582, 14285, 362, 8696, 11452, 1815, 1561, 25733, 5046, 59081, 2582, 4487, 616, 328, 461, 666, 18283, 7409, 43598, 2582, 6588, 3919, 93223, 452, 3538, 64, 2582, 650, 316, 5977, 7923, 1138, 41033, 198, 8586, 374, 279, 1160, 315, 1063, 4279, 13803, 315, 84117, 304, 6980, 25, 4800, 11, 264, 502, 4007, 16239, 220, 18, 11, 24376, 1317, 38968, 388, 72318, 430, 374, 1148, 1884, 1274, 617, 1027, 42160, 2345, 4752, 13, 220, 16, 8, 323, 389, 24717, 320, 915, 627, 12755, 2136, 5046, 58292, 2582, 56046, 627, 45, 3538, 64, 323, 63571, 527, 3463, 311, 387, 1063, 315, 279, 30689, 311, 8821, 505, 13, 10467, 709, 311, 220, 2031, 4, 520, 279, 39516, 27487, 0, 1115, 3477, 706, 27463, 61880, 323, 63571, 439, 30883, 13803, 315, 84117, 31021, 777, 449, 264, 5357, 389, 39775, 315, 32659, 320, 915, 627, 791, 47470, 1226, 78851, 37380, 578, 4953, 7232, 5046, 452, 3538, 64, 432, 5637, 5659, 220, 16, 4, 2057, 220, 966, 4, 2030, 3161, 362, 63690, 4953, 7232, 5046, 220, 605, 13, 20, 13689, 22196, 2057, 3011, 5046, 7923, 1138, 41033, 2030, 9865, 34776, 3011, 5046, 650, 316, 5977, 320, 22, 4, 4390, 41795, 649, 617, 23900, 311, 15748, 13803, 13, 8886, 61880, 323, 63571, 84117, 13803, 30, 578, 13803, 84117, 30020, 11, 4184, 311, 279, 272, 7783, 11, 2997, 512, 47, 467, 763, 578, 3765, 5717, 268, 17593, 627, 2173, 279, 220, 3391, 1176, 8019, 292, 2298, 5157, 279, 272, 7783, 11007, 323, 34156, 304, 279, 577, 516, 2637, 8223, 1274, 5068, 61880, 477, 63571, 13, 6104, 61880, 323, 21939, 709, 13, 2684, 596, 264, 2697, 2555, 389, 6412, 13, 128001, 128000, 2746, 499, 527, 3411, 369, 1579, 22867, 3956, 11, 4587, 2733, 1949, 311, 3729, 603, 323, 3708, 459, 26981, 11, 2613, 25, 2613, 36587, 916, 198, 66761, 220, 18, 35, 18991, 29438, 198, 66761, 220, 18, 35, 18991, 374, 459, 18699, 15266, 1920, 430, 51242, 13931, 315, 3769, 311, 1304, 459, 1665, 430, 374, 6573, 13, 578, 1920, 374, 2753, 41421, 52221, 323, 60880, 1193, 279, 7718, 3769, 311, 8356, 279, 1537, 13, 1115, 1920, 6276, 369, 810, 2955, 25152, 11, 2737, 6485, 69086, 4108, 323, 1948, 30450, 34440, 6956, 13, 1102, 649, 1101, 387, 1511, 311, 1304, 30244, 11, 3831, 3956, 13, 763, 5369, 11, 9501, 220, 18, 35, 18991, 8779, 311, 16343, 6485, 62407, 1139, 832, 6710, 627, 66761, 220, 18, 35, 18991, 3769, 198, 2746, 499, 3207, 3411, 369, 2555, 810, 27220, 369, 701, 220, 18, 35, 18991, 2447, 499, 1288, 2980, 1701, 264, 9501, 46964, 13, 11699, 36486, 11, 1202, 3428, 4785, 323, 25152, 2391, 1772, 70293, 527, 1063, 315, 1202, 22934, 13, 1115, 3769, 374, 14791, 311, 1893, 4211, 449, 17395, 2955, 323, 57216, 4519, 13, 1102, 374, 16595, 311, 5268, 279, 6300, 2955, 369, 701, 3851, 13, 1115, 5764, 19301, 279, 4495, 7147, 26839, 627, 3947, 527, 12387, 37182, 311, 5268, 505, 311, 1005, 304, 220, 18, 35, 18991, 13, 4452, 11, 1070, 527, 1063, 95851, 430, 617, 3361, 22934, 13, 4427, 95851, 527, 3967, 439, 1054, 13066, 3333, 34398, 863, 323, 3085, 1579, 8798, 13957, 11, 1579, 13957, 311, 56488, 13, 2435, 527, 20011, 304, 264, 7029, 8205, 315, 1579, 58574, 5829, 13, 578, 95851, 527, 763, 444, 301, 11, 47051, 3223, 17669, 11, 323, 763, 444, 301, 627, 66761, 220, 18, 35, 51869, 8773, 198, 66761, 220, 18, 35, 18991, 6276, 369, 279, 15266, 315, 6485, 5596, 1903, 315, 9501, 13, 59813, 311, 21349, 15266, 5528, 433, 26338, 5507, 287, 3115, 323, 7194, 13, 24586, 311, 1202, 25152, 323, 22936, 17910, 11, 9501, 220, 18, 35, 23185, 706, 1690, 5829, 13, 19757, 220, 18, 35, 18991, 649, 387, 1511, 369, 1760, 67247, 11, 15266, 7526, 11, 8798, 506, 331, 14381, 323, 7851, 826, 627, 66761, 220, 18, 35, 18991, 60880, 279, 2410, 315, 264, 21120, 311, 30099, 50024, 13931, 13, 578, 1121, 374, 264, 2380, 33520, 961, 902, 374, 220, 1484, 4, 8987, 11, 3686, 9193, 29050, 13, 1115, 6276, 499, 311, 2955, 57216, 53584, 21483, 323, 5419, 4519, 389, 220, 18, 35, 43245, 291, 9501, 5596, 449, 9193, 2697, 12571, 627, 66761, 220, 18, 35, 18991, 25, 32625, 198, 66761, 220, 18, 35, 18991, 374, 264, 8147, 59251, 1749, 311, 1893, 6956, 430, 527, 6062, 12266, 311, 1304, 13, 1102, 649, 8356, 9193, 6485, 6956, 449, 57216, 69086, 4108, 439, 1664, 439, 57709, 1385, 13, 578, 5557, 649, 1101, 387, 20011, 311, 2274, 5788, 7526, 369, 8776, 15266, 11618, 13, 763, 279, 78164, 323, 22936, 15009, 5789, 11, 220, 18, 35, 9501, 18991, 706, 7353, 8522, 627, 791, 1920, 315, 220, 18, 35, 18991, 374, 279, 1920, 315, 6968, 264, 3777, 6324, 555, 6324, 13, 46402, 11, 279, 25199, 374, 10409, 449, 81073, 6962, 304, 2015, 311, 4017, 279, 5326, 315, 71162, 304, 279, 9501, 13, 9479, 11, 17138, 3769, 374, 9435, 311, 279, 5452, 369, 4857, 13, 578, 21120, 43739, 279, 961, 753, 5425, 22327, 1603, 282, 985, 279, 16109, 2482, 11, 30164, 459, 653, 9137, 481, 6324, 13, 578, 1920, 9731, 3156, 279, 3777, 374, 8220, 627, 61612, 12477, 19757, 220, 18, 35, 51869, 198, 66761, 220, 18, 35, 18991, 374, 17124, 1701, 1403, 13124, 315, 7257, 7384, 13, 578, 1176, 374, 36108, 1903, 315, 9501, 430, 527, 1243, 50459, 1701, 72475, 11, 32426, 67850, 477, 17130, 24310, 13, 578, 21120, 99191, 9501, 6089, 8800, 279, 5452, 369, 264, 2204, 3169, 315, 220, 18, 35, 9501, 18991, 13, 11995, 13124, 315, 9501, 220, 18, 35, 57053, 1005, 1690, 2204, 37182, 430, 527, 16109, 1299, 11, 2737, 24166, 323, 25468, 9699, 3235, 449, 25674, 11, 34928, 3223, 17669, 11, 323, 25674, 627, 34160, 311, 1202, 29487, 323, 20314, 98971, 43640, 374, 264, 1633, 5526, 9501, 311, 220, 18, 35, 1194, 13, 4452, 11, 433, 753, 52828, 11, 3339, 433, 5107, 311, 1304, 1005, 315, 279, 21120, 51045, 430, 527, 11383, 20011, 304, 220, 18, 35, 18991, 1701, 9501, 13, 3277, 220, 18, 35, 18991, 24166, 25175, 617, 311, 23075, 12387, 32116, 13, 2030, 11, 12074, 520, 23534, 359, 6292, 809, 11598, 51, 617, 7946, 3549, 24166, 5596, 430, 617, 1579, 17915, 323, 57216, 69086, 4108, 627, 66761, 220, 18, 35, 18991, 12823, 198, 66761, 220, 18, 35, 18991, 6276, 499, 311, 2955, 9501, 5596, 449, 279, 1520, 315, 264, 220, 18, 35, 23185, 13, 578, 10537, 18065, 279, 16946, 315, 15792, 13931, 315, 17138, 430, 527, 6965, 555, 55114, 13, 1115, 55114, 374, 1243, 95503, 505, 264, 23185, 323, 43653, 42147, 927, 1855, 6324, 13, 38274, 11, 279, 73462, 13931, 315, 9501, 17138, 323, 55114, 11049, 323, 1376, 279, 12974, 220, 18, 35, 1665, 13, 1102, 649, 1935, 264, 1317, 892, 627, 66761, 220, 18, 35, 18991, 374, 459, 9250, 10778, 13, 1102, 6276, 499, 311, 2955, 57216, 69086, 4108, 11, 902, 3041, 499, 10283, 315, 2955, 11542, 13, 19757, 220, 18, 35, 18991, 1587, 539, 1397, 25146, 98834, 477, 8898, 311, 1304, 264, 3777, 13, 1115, 3727, 433, 10728, 369, 1760, 67247, 11, 2678, 5788, 8640, 11, 323, 1760, 67247, 13, 19757, 57053, 527, 15098, 1694, 1511, 369, 3544, 13230, 14726, 13, 19757, 220, 18, 35, 57053, 527, 13171, 315, 18991, 5540, 439, 1317, 439, 220, 21, 20645, 13, 66802, 603, 128001 ]
[ -100, 34, 26664, 220, 777, 666, 25156, 3216, 77417, 13, 5046, 279, 220, 3391, 1176, 8019, 292, 2298, 5157, 279, 272, 7783, 11007, 323, 34156, 304, 279, 577, 516, 2637, 8223, 1274, 5068, 61880, 477, 63571, 13, 578, 17649, 584, 22690, 5039, 279, 39775, 315, 61880, 21986, 505, 220, 16, 4, 311, 220, 966, 4, 719, 449, 264, 23369, 39775, 315, 220, 605, 13, 20, 13689, 4528, 311, 430, 315, 69393, 719, 2753, 1109, 430, 315, 63571, 320, 22, 4, 4390, 11076, 13803, 2997, 40700, 287, 11, 34653, 11, 4814, 315, 22843, 320, 44705, 91299, 8, 323, 12945, 320, 425, 355, 689, 705, 449, 2753, 4279, 6305, 2737, 55403, 11, 72188, 55146, 323, 1629, 3919, 19689, 11, 16124, 6784, 11, 36366, 28691, 11, 69393, 11, 8071, 66510, 11, 323, 45713, 55307, 477, 13353, 25977, 11, 323, 304, 24070, 311, 15748, 13, 8886, 61880, 323, 63571, 84117, 13803, 30, 2684, 596, 264, 2697, 2555, 389, 6412, 627, 8538, 9029, 10699, 8886, 12799, 3161, 578, 70920, 3297, 21460, 362, 435, 8934, 287, 32252, 367, 1174, 26080, 16910, 2893, 356, 1409, 287, 3216, 20671, 627, 60210, 1766, 430, 11, 304, 5369, 311, 8582, 42631, 13803, 11, 264, 5199, 1396, 315, 1884, 14363, 449, 279, 502, 17188, 1101, 16654, 505, 13, 9176, 8125, 649, 4762, 5353, 61880, 323, 63571, 11, 2737, 17188, 19405, 11, 46417, 47288, 2077, 11, 5623, 3185, 6372, 323, 24064, 35104, 13, 77417, 8541, 311, 31889, 2212, 220, 17, 311, 220, 20, 2919, 1306, 264, 1732, 374, 29374, 11, 719, 13803, 649, 1935, 709, 311, 220, 975, 2919, 311, 1501, 627, 37, 2099, 2582, 921, 3385, 356, 1409, 10928, 2136, 5046, 58292, 2582, 56046, 11681, 44661, 26417, 22711, 68427, 2582, 14285, 362, 8696, 11452, 1815, 1561, 25733, 5046, 59081, 2582, 4487, 616, 328, 461, 666, 18283, 7409, 43598, 2582, 6588, 3919, 93223, 452, 3538, 64, 2582, 650, 316, 5977, 7923, 1138, 41033, 198, 8586, 374, 279, 1160, 315, 1063, 4279, 13803, 315, 84117, 304, 6980, 25, 4800, 11, 264, 502, 4007, 16239, 220, 18, 11, 24376, 1317, 38968, 388, 72318, 430, 374, 1148, 1884, 1274, 617, 1027, 42160, 2345, 4752, 13, 220, 16, 8, 323, 389, 24717, 320, 915, 627, 12755, 2136, 5046, 58292, 2582, 56046, 627, 45, 3538, 64, 323, 63571, 527, 3463, 311, 387, 1063, 315, 279, 30689, 311, 8821, 505, 13, 10467, 709, 311, 220, 2031, 4, 520, 279, 39516, 27487, 0, 1115, 3477, 706, 27463, 61880, 323, 63571, 439, 30883, 13803, 315, 84117, 31021, 777, 449, 264, 5357, 389, 39775, 315, 32659, 320, 915, 627, 791, 47470, 1226, 78851, 37380, 578, 4953, 7232, 5046, 452, 3538, 64, 432, 5637, 5659, 220, 16, 4, 2057, 220, 966, 4, 2030, 3161, 362, 63690, 4953, 7232, 5046, 220, 605, 13, 20, 13689, 22196, 2057, 3011, 5046, 7923, 1138, 41033, 2030, 9865, 34776, 3011, 5046, 650, 316, 5977, 320, 22, 4, 4390, 41795, 649, 617, 23900, 311, 15748, 13803, 13, 8886, 61880, 323, 63571, 84117, 13803, 30, 578, 13803, 84117, 30020, 11, 4184, 311, 279, 272, 7783, 11, 2997, 512, 47, 467, 763, 578, 3765, 5717, 268, 17593, 627, 2173, 279, 220, 3391, 1176, 8019, 292, 2298, 5157, 279, 272, 7783, 11007, 323, 34156, 304, 279, 577, 516, 2637, 8223, 1274, 5068, 61880, 477, 63571, 13, 6104, 61880, 323, 21939, 709, 13, 2684, 596, 264, 2697, 2555, 389, 6412, 13, 128001, -100, 2746, 499, 527, 3411, 369, 1579, 22867, 3956, 11, 4587, 2733, 1949, 311, 3729, 603, 323, 3708, 459, 26981, 11, 2613, 25, 2613, 36587, 916, 198, 66761, 220, 18, 35, 18991, 29438, 198, 66761, 220, 18, 35, 18991, 374, 459, 18699, 15266, 1920, 430, 51242, 13931, 315, 3769, 311, 1304, 459, 1665, 430, 374, 6573, 13, 578, 1920, 374, 2753, 41421, 52221, 323, 60880, 1193, 279, 7718, 3769, 311, 8356, 279, 1537, 13, 1115, 1920, 6276, 369, 810, 2955, 25152, 11, 2737, 6485, 69086, 4108, 323, 1948, 30450, 34440, 6956, 13, 1102, 649, 1101, 387, 1511, 311, 1304, 30244, 11, 3831, 3956, 13, 763, 5369, 11, 9501, 220, 18, 35, 18991, 8779, 311, 16343, 6485, 62407, 1139, 832, 6710, 627, 66761, 220, 18, 35, 18991, 3769, 198, 2746, 499, 3207, 3411, 369, 2555, 810, 27220, 369, 701, 220, 18, 35, 18991, 2447, 499, 1288, 2980, 1701, 264, 9501, 46964, 13, 11699, 36486, 11, 1202, 3428, 4785, 323, 25152, 2391, 1772, 70293, 527, 1063, 315, 1202, 22934, 13, 1115, 3769, 374, 14791, 311, 1893, 4211, 449, 17395, 2955, 323, 57216, 4519, 13, 1102, 374, 16595, 311, 5268, 279, 6300, 2955, 369, 701, 3851, 13, 1115, 5764, 19301, 279, 4495, 7147, 26839, 627, 3947, 527, 12387, 37182, 311, 5268, 505, 311, 1005, 304, 220, 18, 35, 18991, 13, 4452, 11, 1070, 527, 1063, 95851, 430, 617, 3361, 22934, 13, 4427, 95851, 527, 3967, 439, 1054, 13066, 3333, 34398, 863, 323, 3085, 1579, 8798, 13957, 11, 1579, 13957, 311, 56488, 13, 2435, 527, 20011, 304, 264, 7029, 8205, 315, 1579, 58574, 5829, 13, 578, 95851, 527, 763, 444, 301, 11, 47051, 3223, 17669, 11, 323, 763, 444, 301, 627, 66761, 220, 18, 35, 51869, 8773, 198, 66761, 220, 18, 35, 18991, 6276, 369, 279, 15266, 315, 6485, 5596, 1903, 315, 9501, 13, 59813, 311, 21349, 15266, 5528, 433, 26338, 5507, 287, 3115, 323, 7194, 13, 24586, 311, 1202, 25152, 323, 22936, 17910, 11, 9501, 220, 18, 35, 23185, 706, 1690, 5829, 13, 19757, 220, 18, 35, 18991, 649, 387, 1511, 369, 1760, 67247, 11, 15266, 7526, 11, 8798, 506, 331, 14381, 323, 7851, 826, 627, 66761, 220, 18, 35, 18991, 60880, 279, 2410, 315, 264, 21120, 311, 30099, 50024, 13931, 13, 578, 1121, 374, 264, 2380, 33520, 961, 902, 374, 220, 1484, 4, 8987, 11, 3686, 9193, 29050, 13, 1115, 6276, 499, 311, 2955, 57216, 53584, 21483, 323, 5419, 4519, 389, 220, 18, 35, 43245, 291, 9501, 5596, 449, 9193, 2697, 12571, 627, 66761, 220, 18, 35, 18991, 25, 32625, 198, 66761, 220, 18, 35, 18991, 374, 264, 8147, 59251, 1749, 311, 1893, 6956, 430, 527, 6062, 12266, 311, 1304, 13, 1102, 649, 8356, 9193, 6485, 6956, 449, 57216, 69086, 4108, 439, 1664, 439, 57709, 1385, 13, 578, 5557, 649, 1101, 387, 20011, 311, 2274, 5788, 7526, 369, 8776, 15266, 11618, 13, 763, 279, 78164, 323, 22936, 15009, 5789, 11, 220, 18, 35, 9501, 18991, 706, 7353, 8522, 627, 791, 1920, 315, 220, 18, 35, 18991, 374, 279, 1920, 315, 6968, 264, 3777, 6324, 555, 6324, 13, 46402, 11, 279, 25199, 374, 10409, 449, 81073, 6962, 304, 2015, 311, 4017, 279, 5326, 315, 71162, 304, 279, 9501, 13, 9479, 11, 17138, 3769, 374, 9435, 311, 279, 5452, 369, 4857, 13, 578, 21120, 43739, 279, 961, 753, 5425, 22327, 1603, 282, 985, 279, 16109, 2482, 11, 30164, 459, 653, 9137, 481, 6324, 13, 578, 1920, 9731, 3156, 279, 3777, 374, 8220, 627, 61612, 12477, 19757, 220, 18, 35, 51869, 198, 66761, 220, 18, 35, 18991, 374, 17124, 1701, 1403, 13124, 315, 7257, 7384, 13, 578, 1176, 374, 36108, 1903, 315, 9501, 430, 527, 1243, 50459, 1701, 72475, 11, 32426, 67850, 477, 17130, 24310, 13, 578, 21120, 99191, 9501, 6089, 8800, 279, 5452, 369, 264, 2204, 3169, 315, 220, 18, 35, 9501, 18991, 13, 11995, 13124, 315, 9501, 220, 18, 35, 57053, 1005, 1690, 2204, 37182, 430, 527, 16109, 1299, 11, 2737, 24166, 323, 25468, 9699, 3235, 449, 25674, 11, 34928, 3223, 17669, 11, 323, 25674, 627, 34160, 311, 1202, 29487, 323, 20314, 98971, 43640, 374, 264, 1633, 5526, 9501, 311, 220, 18, 35, 1194, 13, 4452, 11, 433, 753, 52828, 11, 3339, 433, 5107, 311, 1304, 1005, 315, 279, 21120, 51045, 430, 527, 11383, 20011, 304, 220, 18, 35, 18991, 1701, 9501, 13, 3277, 220, 18, 35, 18991, 24166, 25175, 617, 311, 23075, 12387, 32116, 13, 2030, 11, 12074, 520, 23534, 359, 6292, 809, 11598, 51, 617, 7946, 3549, 24166, 5596, 430, 617, 1579, 17915, 323, 57216, 69086, 4108, 627, 66761, 220, 18, 35, 18991, 12823, 198, 66761, 220, 18, 35, 18991, 6276, 499, 311, 2955, 9501, 5596, 449, 279, 1520, 315, 264, 220, 18, 35, 23185, 13, 578, 10537, 18065, 279, 16946, 315, 15792, 13931, 315, 17138, 430, 527, 6965, 555, 55114, 13, 1115, 55114, 374, 1243, 95503, 505, 264, 23185, 323, 43653, 42147, 927, 1855, 6324, 13, 38274, 11, 279, 73462, 13931, 315, 9501, 17138, 323, 55114, 11049, 323, 1376, 279, 12974, 220, 18, 35, 1665, 13, 1102, 649, 1935, 264, 1317, 892, 627, 66761, 220, 18, 35, 18991, 374, 459, 9250, 10778, 13, 1102, 6276, 499, 311, 2955, 57216, 69086, 4108, 11, 902, 3041, 499, 10283, 315, 2955, 11542, 13, 19757, 220, 18, 35, 18991, 1587, 539, 1397, 25146, 98834, 477, 8898, 311, 1304, 264, 3777, 13, 1115, 3727, 433, 10728, 369, 1760, 67247, 11, 2678, 5788, 8640, 11, 323, 1760, 67247, 13, 19757, 57053, 527, 15098, 1694, 1511, 369, 3544, 13230, 14726, 13, 19757, 220, 18, 35, 57053, 527, 13171, 315, 18991, 5540, 439, 1317, 439, 220, 21, 20645, 13, 66802, 603, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 4438, 311, 7858, 323, 4322, 264, 4851, 3440, 198, 32, 4851, 3440, 8741, 994, 1070, 374, 264, 4814, 315, 6680, 8312, 311, 961, 315, 279, 4851, 16124, 11, 3629, 4245, 311, 264, 2565, 425, 304, 264, 14373, 65415, 13, 77417, 2997, 6784, 304, 279, 15489, 13, 1102, 374, 264, 6593, 13147, 430, 3966, 8952, 6514, 627, 32, 1732, 889, 374, 25051, 264, 4851, 3440, 2001, 477, 95736, 532, 4225, 277, 407, 2001, 690, 2733, 6784, 304, 872, 15489, 323, 1023, 5596, 315, 872, 2547, 11, 439, 1664, 439, 1023, 13803, 627, 48149, 1303, 279, 4216, 12195, 315, 264, 4851, 3440, 323, 3794, 10137, 6514, 374, 16996, 323, 649, 3665, 264, 1732, 753, 2324, 627, 32, 4851, 3440, 374, 2204, 505, 47345, 8163, 11, 304, 902, 279, 4851, 18417, 3318, 6724, 13, 11995, 527, 6593, 69074, 11, 323, 2085, 6514, 11, 264, 4851, 3440, 649, 3063, 311, 47345, 8163, 627, 2028, 4652, 5992, 520, 1268, 4851, 8951, 3621, 323, 1268, 311, 4322, 323, 5471, 1124, 627, 29012, 52273, 315, 264, 4851, 3440, 198, 2170, 4851, 8951, 649, 387, 19094, 11, 433, 374, 16996, 311, 15641, 279, 19530, 439, 5246, 439, 3284, 323, 3729, 13147, 3600, 627, 12, 264, 8430, 315, 7410, 11, 10508, 2136, 11, 6784, 11, 88807, 11, 477, 264, 28075, 304, 279, 15489, 198, 12, 6784, 430, 43653, 311, 279, 11977, 11, 13272, 11, 16942, 11, 477, 1203, 198, 12, 264, 8430, 315, 14770, 477, 13710, 1918, 304, 279, 15489, 198, 12, 264, 8430, 4528, 311, 4851, 22464, 477, 1280, 15505, 290, 198, 12, 61880, 323, 7170, 63571, 198, 12, 8430, 60610, 2465, 323, 98521, 198, 12, 2875, 2136, 315, 11745, 198, 12, 8430, 326, 1108, 11671, 291, 477, 85184, 198, 12, 304, 1063, 5157, 11, 18547, 430, 649, 2733, 4528, 311, 264, 22743, 3440, 198, 12, 40700, 287, 477, 15240, 10333, 287, 11, 422, 15962, 22890, 709, 304, 279, 45274, 198, 791, 13803, 649, 13592, 304, 872, 2015, 323, 8250, 2001, 814, 1253, 1566, 3892, 2919, 477, 2586, 323, 733, 15187, 627, 791, 2768, 1253, 1101, 2274, 512, 12, 39515, 5241, 22689, 25, 1115, 18065, 3428, 5990, 315, 24463, 304, 279, 6680, 627, 12, 35962, 55892, 1608, 9355, 25, 1115, 18065, 15962, 92685, 304, 323, 2212, 279, 45274, 627, 12, 6938, 72, 29569, 10988, 25, 1115, 18065, 6680, 7410, 26156, 15187, 1606, 279, 4851, 4250, 8312, 3403, 6680, 369, 279, 2800, 315, 279, 2547, 311, 990, 49672, 627, 37, 87503, 323, 25000, 7170, 3217, 4851, 8951, 22009, 13, 15281, 922, 4851, 3440, 13803, 304, 28585, 1618, 627, 32, 4851, 3440, 374, 2324, 27903, 323, 3966, 13147, 6666, 627, 7184, 35076, 11, 1690, 1274, 18167, 4851, 8951, 11, 4245, 311, 7524, 6514, 13, 40893, 287, 6514, 11, 4869, 11, 29057, 8108, 279, 17393, 315, 20237, 627, 7368, 220, 17000, 7214, 198, 12, 2893, 5644, 311, 10552, 1148, 706, 7077, 323, 1405, 499, 527, 627, 12, 29837, 19858, 323, 1833, 682, 11470, 505, 279, 13147, 2128, 627, 8142, 8748, 369, 279, 2128, 311, 17782, 11, 3137, 311, 279, 1732, 11, 323, 91147, 1124, 430, 1520, 374, 389, 279, 1648, 627, 2746, 279, 1732, 18417, 27027, 11, 1935, 279, 2768, 7504, 512, 5519, 11630, 15489, 25633, 919, 512, 12, 16076, 701, 19779, 3871, 323, 2035, 279, 2385, 315, 701, 6206, 304, 279, 4219, 315, 279, 15489, 627, 12, 12661, 701, 28004, 927, 701, 6206, 11, 5409, 701, 82012, 11, 323, 3577, 2653, 323, 5043, 11, 520, 264, 4478, 315, 220, 1041, 4235, 4364, 25633, 919, 824, 9568, 13, 8612, 311, 264, 8149, 315, 220, 17, 15271, 627, 12, 15353, 1521, 19567, 3156, 279, 1732, 8638, 311, 37397, 477, 3351, 11, 3156, 4423, 775, 649, 1935, 927, 11, 477, 3156, 499, 527, 39019, 627, 12, 1442, 3284, 11, 1935, 10800, 2085, 7251, 985, 279, 25633, 919, 627, 10464, 459, 17392, 9434, 711, 10892, 71184, 320, 32, 1507, 340, 12, 362, 1507, 82, 527, 2561, 304, 12185, 84468, 323, 1690, 1023, 586, 7634, 627, 12, 1556, 362, 1507, 5825, 264, 10988, 430, 1253, 17460, 279, 4851, 627, 12, 92692, 19858, 323, 1833, 279, 11470, 13, 7648, 26627, 362, 1507, 82, 3137, 499, 1555, 279, 7504, 627, 24762, 77898, 10631, 1618, 627, 4599, 279, 13147, 2128, 30782, 11, 814, 690, 1935, 927, 279, 1732, 753, 2512, 627, 36227, 279, 2128, 439, 1790, 7872, 439, 3284, 922, 279, 1732, 753, 2890, 323, 1148, 574, 12765, 1603, 279, 1567, 627, 791, 2128, 690, 1456, 311, 70236, 279, 1732, 753, 3044, 11, 2737, 8405, 24463, 627, 644, 279, 8952, 11, 264, 6593, 2128, 690, 2804, 7177, 323, 3493, 8475, 6514, 627, 8607, 20414, 649, 1520, 11, 719, 2380, 4279, 2671, 527, 512, 12, 31010, 11, 2737, 1884, 311, 73739, 6680, 1206, 2469, 198, 12, 824, 10453, 18133, 66298, 21623, 11, 264, 22936, 1749, 315, 50203, 6680, 6530, 311, 904, 20727, 20438, 198, 12, 66298, 65415, 31818, 69413, 287, 11, 17037, 2663, 264, 4851, 31818, 11, 3512, 15916, 6680, 2212, 20727, 5789, 315, 279, 85648, 311, 7417, 6680, 6530, 198, 791, 18985, 2128, 690, 1101, 990, 449, 279, 3927, 311, 2274, 264, 6514, 3197, 6319, 311, 5471, 3938, 8951, 627, 8538, 1274, 3217, 36505, 1306, 264, 4851, 3440, 13, 40730, 389, 1268, 15748, 279, 1567, 574, 11, 1521, 1253, 2997, 512, 12, 46904, 25, 1115, 374, 4279, 1306, 264, 4851, 3440, 11, 323, 23387, 449, 10456, 6305, 323, 1862, 5315, 649, 1520, 627, 12, 18925, 61254, 689, 25, 578, 4851, 34427, 42408, 398, 11, 3060, 2288, 5043, 477, 2288, 14297, 627, 12, 3279, 9355, 25, 60696, 15783, 24031, 323, 11384, 55307, 304, 279, 90713, 323, 14535, 627, 12, 362, 818, 324, 1065, 76, 25, 30760, 20438, 22890, 709, 389, 279, 20727, 4851, 7147, 11, 902, 11384, 15792, 1251, 323, 42949, 315, 279, 4851, 16124, 11, 9778, 30164, 264, 11347, 13, 1115, 649, 1101, 3063, 311, 6680, 1206, 2469, 627, 12, 7568, 2259, 25, 9925, 27781, 24463, 25501, 279, 4851, 11, 14718, 15489, 6784, 627, 12, 18449, 8060, 25, 578, 4851, 649, 912, 5129, 14155, 13750, 11, 6522, 311, 36709, 11, 17250, 27027, 11, 323, 1608, 9355, 627, 12, 3092, 74378, 532, 89869, 25, 1115, 374, 264, 18036, 304, 264, 961, 315, 279, 4851, 11, 4245, 311, 5674, 9057, 555, 264, 4851, 3440, 627, 46, 86171, 6514, 323, 16967, 649, 1520, 8108, 279, 5326, 315, 1521, 36505, 627, 3947, 527, 5370, 5627, 311, 4827, 279, 5326, 315, 264, 4851, 3440, 13, 578, 3778, 18449, 7303, 24444, 32113, 1274, 311, 1304, 4851, 2890, 264, 10844, 627, 54, 954, 311, 656, 420, 2997, 512, 12, 31526, 477, 69184, 20149, 198, 12, 3515, 264, 24770, 11, 2890, 1285, 10173, 198, 12, 3794, 5912, 10368, 198, 12, 18646, 20335, 11, 1579, 39086, 5990, 11, 1579, 6680, 7410, 11, 323, 1023, 4787, 198, 12, 33994, 13200, 23730, 198, 12, 20958, 264, 9498, 2547, 4785, 198, 12, 15716, 3284, 11, 31526, 8631, 477, 36666, 5627, 311, 8108, 433, 198, 96621, 279, 13803, 315, 264, 4851, 3440, 649, 1520, 264, 1732, 636, 10137, 6514, 11, 323, 420, 12992, 279, 17393, 315, 264, 6928, 15632, 627, 8586, 11, 1505, 1063, 10631, 369, 69184, 20149, 627, 644, 279, 8952, 11, 264, 10896, 690, 2610, 922, 13803, 13, 3277, 3339, 264, 23842, 323, 13633, 709, 264, 6514, 8446, 11, 814, 690, 1935, 1139, 2759, 279, 1732, 753, 512, 12, 8244, 2890, 198, 12, 6593, 3925, 198, 12, 3070, 3925, 198, 7009, 690, 1101, 1205, 311, 6920, 704, 7177, 11, 902, 2997, 512, 12, 32758, 7177, 11, 1778, 439, 1630, 82817, 11, 19084, 43739, 11, 323, 31972, 511, 37489, 56485, 198, 12, 25396, 5057, 72, 5814, 11, 311, 6767, 20314, 5820, 304, 279, 4851, 198, 12, 6680, 7177, 11, 902, 649, 7838, 430, 264, 4851, 3440, 706, 10222, 198, 12, 47345, 31747, 1430, 2065, 11, 902, 20682, 264, 10896, 311, 21635, 279, 4871, 315, 279, 4851, 198, 697, 93013, 649, 1935, 892, 11, 11911, 389, 279, 31020, 315, 279, 4851, 3440, 323, 1023, 9547, 11, 1778, 439, 279, 5353, 323, 279, 1732, 753, 4325, 627, 8538, 9547, 6532, 2997, 512, 12, 6938, 18029, 44438, 25, 578, 18985, 2128, 690, 1520, 279, 1732, 1304, 264, 3197, 311, 15301, 872, 2890, 323, 5471, 2500, 4851, 3440, 627, 12, 1838, 30589, 7106, 5820, 25, 362, 18985, 9287, 649, 1520, 2274, 264, 14791, 5820, 3197, 627, 12, 74347, 311, 990, 25, 578, 18912, 315, 420, 14117, 389, 279, 1732, 753, 2683, 323, 279, 31020, 315, 279, 4851, 3440, 627, 12, 53353, 25, 362, 10896, 690, 32113, 922, 279, 18912, 11, 902, 35327, 505, 1732, 311, 1732, 627, 12, 6834, 25, 7648, 1274, 649, 16063, 7392, 5820, 1306, 220, 19, 4235, 21, 5672, 13, 89889, 32403, 649, 1121, 505, 24099, 1005, 11, 719, 6514, 649, 1520, 9006, 420, 627, 8607, 1274, 3217, 18710, 2391, 13654, 505, 264, 4851, 3440, 11, 719, 42316, 11, 1862, 5315, 11, 323, 22972, 649, 1520, 627, 791, 1455, 4279, 5353, 315, 264, 4851, 3440, 374, 264, 2565, 425, 304, 832, 315, 279, 85648, 3221, 279, 4851, 627, 2028, 649, 1121, 505, 66298, 4851, 8624, 11, 304, 902, 61464, 2001, 1903, 709, 315, 39086, 323, 1023, 33155, 2001, 52307, 304, 279, 85648, 11, 98867, 1124, 13, 6193, 892, 11, 420, 649, 54292, 279, 6530, 315, 6680, 627, 28551, 4279, 11384, 2997, 512, 12, 279, 62851, 315, 11217, 11, 1778, 439, 39123, 11, 902, 11384, 279, 6680, 31080, 311, 15376, 198, 12, 3428, 24463, 5990, 304, 279, 6680, 11, 4245, 11, 369, 3187, 11, 311, 12782, 1647, 55189, 52236, 198, 2170, 279, 362, 17455, 5296, 11, 279, 2768, 649, 5376, 279, 5326, 315, 264, 4851, 3440, 512, 12, 9191, 4325, 198, 12, 8762, 1877, 198, 12, 1579, 39086, 5990, 198, 12, 1579, 6680, 7410, 198, 12, 1023, 2890, 4787, 11, 1778, 439, 33048, 477, 20335, 198, 12, 3515, 264, 10173, 1579, 304, 15590, 15657, 323, 3779, 50127, 11, 70913, 11, 323, 12290, 198, 12, 3428, 5820, 5990, 198, 12, 19465, 9547, 323, 3070, 3925, 198, 12, 264, 1579, 13200, 23730, 198, 12, 1579, 5990, 315, 8631, 198, 78013, 11, 264, 4851, 3440, 3135, 505, 264, 10824, 315, 9547, 627, 644, 5369, 11, 279, 362, 17455, 1934, 430, 5348, 9053, 11, 20023, 87, 9053, 11, 17118, 9053, 11, 17118, 22153, 5493, 11, 323, 1063, 14875, 9053, 617, 7319, 15635, 315, 1579, 6680, 7410, 323, 23069, 315, 4851, 8624, 11, 7863, 449, 872, 4251, 38495, 627, 16298, 449, 1579, 6680, 7410, 477, 264, 3925, 315, 4851, 8624, 477, 41713, 8624, 1101, 617, 459, 7319, 5326, 315, 264, 4851, 3440, 627, 32, 4851, 3440, 649, 387, 2324, 27903, 323, 3966, 14247, 6593, 6666, 627, 1622, 19530, 2997, 6784, 323, 10508, 2136, 304, 279, 15489, 11, 6784, 304, 1023, 5596, 315, 279, 2547, 11, 323, 17250, 27027, 627, 2746, 5606, 706, 13803, 315, 264, 4851, 3440, 11, 4423, 1288, 1650, 220, 17000, 520, 3131, 13, 3161, 10137, 6514, 11, 1070, 374, 3629, 264, 1695, 6140, 315, 264, 6928, 15632, 627, 4518, 420, 4652, 304, 15506, 13, 128001 ]
[ -100, 4438, 311, 7858, 323, 4322, 264, 4851, 3440, 198, 32, 4851, 3440, 8741, 994, 1070, 374, 264, 4814, 315, 6680, 8312, 311, 961, 315, 279, 4851, 16124, 11, 3629, 4245, 311, 264, 2565, 425, 304, 264, 14373, 65415, 13, 77417, 2997, 6784, 304, 279, 15489, 13, 1102, 374, 264, 6593, 13147, 430, 3966, 8952, 6514, 627, 32, 1732, 889, 374, 25051, 264, 4851, 3440, 2001, 477, 95736, 532, 4225, 277, 407, 2001, 690, 2733, 6784, 304, 872, 15489, 323, 1023, 5596, 315, 872, 2547, 11, 439, 1664, 439, 1023, 13803, 627, 48149, 1303, 279, 4216, 12195, 315, 264, 4851, 3440, 323, 3794, 10137, 6514, 374, 16996, 323, 649, 3665, 264, 1732, 753, 2324, 627, 32, 4851, 3440, 374, 2204, 505, 47345, 8163, 11, 304, 902, 279, 4851, 18417, 3318, 6724, 13, 11995, 527, 6593, 69074, 11, 323, 2085, 6514, 11, 264, 4851, 3440, 649, 3063, 311, 47345, 8163, 627, 2028, 4652, 5992, 520, 1268, 4851, 8951, 3621, 323, 1268, 311, 4322, 323, 5471, 1124, 627, 29012, 52273, 315, 264, 4851, 3440, 198, 2170, 4851, 8951, 649, 387, 19094, 11, 433, 374, 16996, 311, 15641, 279, 19530, 439, 5246, 439, 3284, 323, 3729, 13147, 3600, 627, 12, 264, 8430, 315, 7410, 11, 10508, 2136, 11, 6784, 11, 88807, 11, 477, 264, 28075, 304, 279, 15489, 198, 12, 6784, 430, 43653, 311, 279, 11977, 11, 13272, 11, 16942, 11, 477, 1203, 198, 12, 264, 8430, 315, 14770, 477, 13710, 1918, 304, 279, 15489, 198, 12, 264, 8430, 4528, 311, 4851, 22464, 477, 1280, 15505, 290, 198, 12, 61880, 323, 7170, 63571, 198, 12, 8430, 60610, 2465, 323, 98521, 198, 12, 2875, 2136, 315, 11745, 198, 12, 8430, 326, 1108, 11671, 291, 477, 85184, 198, 12, 304, 1063, 5157, 11, 18547, 430, 649, 2733, 4528, 311, 264, 22743, 3440, 198, 12, 40700, 287, 477, 15240, 10333, 287, 11, 422, 15962, 22890, 709, 304, 279, 45274, 198, 791, 13803, 649, 13592, 304, 872, 2015, 323, 8250, 2001, 814, 1253, 1566, 3892, 2919, 477, 2586, 323, 733, 15187, 627, 791, 2768, 1253, 1101, 2274, 512, 12, 39515, 5241, 22689, 25, 1115, 18065, 3428, 5990, 315, 24463, 304, 279, 6680, 627, 12, 35962, 55892, 1608, 9355, 25, 1115, 18065, 15962, 92685, 304, 323, 2212, 279, 45274, 627, 12, 6938, 72, 29569, 10988, 25, 1115, 18065, 6680, 7410, 26156, 15187, 1606, 279, 4851, 4250, 8312, 3403, 6680, 369, 279, 2800, 315, 279, 2547, 311, 990, 49672, 627, 37, 87503, 323, 25000, 7170, 3217, 4851, 8951, 22009, 13, 15281, 922, 4851, 3440, 13803, 304, 28585, 1618, 627, 32, 4851, 3440, 374, 2324, 27903, 323, 3966, 13147, 6666, 627, 7184, 35076, 11, 1690, 1274, 18167, 4851, 8951, 11, 4245, 311, 7524, 6514, 13, 40893, 287, 6514, 11, 4869, 11, 29057, 8108, 279, 17393, 315, 20237, 627, 7368, 220, 17000, 7214, 198, 12, 2893, 5644, 311, 10552, 1148, 706, 7077, 323, 1405, 499, 527, 627, 12, 29837, 19858, 323, 1833, 682, 11470, 505, 279, 13147, 2128, 627, 8142, 8748, 369, 279, 2128, 311, 17782, 11, 3137, 311, 279, 1732, 11, 323, 91147, 1124, 430, 1520, 374, 389, 279, 1648, 627, 2746, 279, 1732, 18417, 27027, 11, 1935, 279, 2768, 7504, 512, 5519, 11630, 15489, 25633, 919, 512, 12, 16076, 701, 19779, 3871, 323, 2035, 279, 2385, 315, 701, 6206, 304, 279, 4219, 315, 279, 15489, 627, 12, 12661, 701, 28004, 927, 701, 6206, 11, 5409, 701, 82012, 11, 323, 3577, 2653, 323, 5043, 11, 520, 264, 4478, 315, 220, 1041, 4235, 4364, 25633, 919, 824, 9568, 13, 8612, 311, 264, 8149, 315, 220, 17, 15271, 627, 12, 15353, 1521, 19567, 3156, 279, 1732, 8638, 311, 37397, 477, 3351, 11, 3156, 4423, 775, 649, 1935, 927, 11, 477, 3156, 499, 527, 39019, 627, 12, 1442, 3284, 11, 1935, 10800, 2085, 7251, 985, 279, 25633, 919, 627, 10464, 459, 17392, 9434, 711, 10892, 71184, 320, 32, 1507, 340, 12, 362, 1507, 82, 527, 2561, 304, 12185, 84468, 323, 1690, 1023, 586, 7634, 627, 12, 1556, 362, 1507, 5825, 264, 10988, 430, 1253, 17460, 279, 4851, 627, 12, 92692, 19858, 323, 1833, 279, 11470, 13, 7648, 26627, 362, 1507, 82, 3137, 499, 1555, 279, 7504, 627, 24762, 77898, 10631, 1618, 627, 4599, 279, 13147, 2128, 30782, 11, 814, 690, 1935, 927, 279, 1732, 753, 2512, 627, 36227, 279, 2128, 439, 1790, 7872, 439, 3284, 922, 279, 1732, 753, 2890, 323, 1148, 574, 12765, 1603, 279, 1567, 627, 791, 2128, 690, 1456, 311, 70236, 279, 1732, 753, 3044, 11, 2737, 8405, 24463, 627, 644, 279, 8952, 11, 264, 6593, 2128, 690, 2804, 7177, 323, 3493, 8475, 6514, 627, 8607, 20414, 649, 1520, 11, 719, 2380, 4279, 2671, 527, 512, 12, 31010, 11, 2737, 1884, 311, 73739, 6680, 1206, 2469, 198, 12, 824, 10453, 18133, 66298, 21623, 11, 264, 22936, 1749, 315, 50203, 6680, 6530, 311, 904, 20727, 20438, 198, 12, 66298, 65415, 31818, 69413, 287, 11, 17037, 2663, 264, 4851, 31818, 11, 3512, 15916, 6680, 2212, 20727, 5789, 315, 279, 85648, 311, 7417, 6680, 6530, 198, 791, 18985, 2128, 690, 1101, 990, 449, 279, 3927, 311, 2274, 264, 6514, 3197, 6319, 311, 5471, 3938, 8951, 627, 8538, 1274, 3217, 36505, 1306, 264, 4851, 3440, 13, 40730, 389, 1268, 15748, 279, 1567, 574, 11, 1521, 1253, 2997, 512, 12, 46904, 25, 1115, 374, 4279, 1306, 264, 4851, 3440, 11, 323, 23387, 449, 10456, 6305, 323, 1862, 5315, 649, 1520, 627, 12, 18925, 61254, 689, 25, 578, 4851, 34427, 42408, 398, 11, 3060, 2288, 5043, 477, 2288, 14297, 627, 12, 3279, 9355, 25, 60696, 15783, 24031, 323, 11384, 55307, 304, 279, 90713, 323, 14535, 627, 12, 362, 818, 324, 1065, 76, 25, 30760, 20438, 22890, 709, 389, 279, 20727, 4851, 7147, 11, 902, 11384, 15792, 1251, 323, 42949, 315, 279, 4851, 16124, 11, 9778, 30164, 264, 11347, 13, 1115, 649, 1101, 3063, 311, 6680, 1206, 2469, 627, 12, 7568, 2259, 25, 9925, 27781, 24463, 25501, 279, 4851, 11, 14718, 15489, 6784, 627, 12, 18449, 8060, 25, 578, 4851, 649, 912, 5129, 14155, 13750, 11, 6522, 311, 36709, 11, 17250, 27027, 11, 323, 1608, 9355, 627, 12, 3092, 74378, 532, 89869, 25, 1115, 374, 264, 18036, 304, 264, 961, 315, 279, 4851, 11, 4245, 311, 5674, 9057, 555, 264, 4851, 3440, 627, 46, 86171, 6514, 323, 16967, 649, 1520, 8108, 279, 5326, 315, 1521, 36505, 627, 3947, 527, 5370, 5627, 311, 4827, 279, 5326, 315, 264, 4851, 3440, 13, 578, 3778, 18449, 7303, 24444, 32113, 1274, 311, 1304, 4851, 2890, 264, 10844, 627, 54, 954, 311, 656, 420, 2997, 512, 12, 31526, 477, 69184, 20149, 198, 12, 3515, 264, 24770, 11, 2890, 1285, 10173, 198, 12, 3794, 5912, 10368, 198, 12, 18646, 20335, 11, 1579, 39086, 5990, 11, 1579, 6680, 7410, 11, 323, 1023, 4787, 198, 12, 33994, 13200, 23730, 198, 12, 20958, 264, 9498, 2547, 4785, 198, 12, 15716, 3284, 11, 31526, 8631, 477, 36666, 5627, 311, 8108, 433, 198, 96621, 279, 13803, 315, 264, 4851, 3440, 649, 1520, 264, 1732, 636, 10137, 6514, 11, 323, 420, 12992, 279, 17393, 315, 264, 6928, 15632, 627, 8586, 11, 1505, 1063, 10631, 369, 69184, 20149, 627, 644, 279, 8952, 11, 264, 10896, 690, 2610, 922, 13803, 13, 3277, 3339, 264, 23842, 323, 13633, 709, 264, 6514, 8446, 11, 814, 690, 1935, 1139, 2759, 279, 1732, 753, 512, 12, 8244, 2890, 198, 12, 6593, 3925, 198, 12, 3070, 3925, 198, 7009, 690, 1101, 1205, 311, 6920, 704, 7177, 11, 902, 2997, 512, 12, 32758, 7177, 11, 1778, 439, 1630, 82817, 11, 19084, 43739, 11, 323, 31972, 511, 37489, 56485, 198, 12, 25396, 5057, 72, 5814, 11, 311, 6767, 20314, 5820, 304, 279, 4851, 198, 12, 6680, 7177, 11, 902, 649, 7838, 430, 264, 4851, 3440, 706, 10222, 198, 12, 47345, 31747, 1430, 2065, 11, 902, 20682, 264, 10896, 311, 21635, 279, 4871, 315, 279, 4851, 198, 697, 93013, 649, 1935, 892, 11, 11911, 389, 279, 31020, 315, 279, 4851, 3440, 323, 1023, 9547, 11, 1778, 439, 279, 5353, 323, 279, 1732, 753, 4325, 627, 8538, 9547, 6532, 2997, 512, 12, 6938, 18029, 44438, 25, 578, 18985, 2128, 690, 1520, 279, 1732, 1304, 264, 3197, 311, 15301, 872, 2890, 323, 5471, 2500, 4851, 3440, 627, 12, 1838, 30589, 7106, 5820, 25, 362, 18985, 9287, 649, 1520, 2274, 264, 14791, 5820, 3197, 627, 12, 74347, 311, 990, 25, 578, 18912, 315, 420, 14117, 389, 279, 1732, 753, 2683, 323, 279, 31020, 315, 279, 4851, 3440, 627, 12, 53353, 25, 362, 10896, 690, 32113, 922, 279, 18912, 11, 902, 35327, 505, 1732, 311, 1732, 627, 12, 6834, 25, 7648, 1274, 649, 16063, 7392, 5820, 1306, 220, 19, 4235, 21, 5672, 13, 89889, 32403, 649, 1121, 505, 24099, 1005, 11, 719, 6514, 649, 1520, 9006, 420, 627, 8607, 1274, 3217, 18710, 2391, 13654, 505, 264, 4851, 3440, 11, 719, 42316, 11, 1862, 5315, 11, 323, 22972, 649, 1520, 627, 791, 1455, 4279, 5353, 315, 264, 4851, 3440, 374, 264, 2565, 425, 304, 832, 315, 279, 85648, 3221, 279, 4851, 627, 2028, 649, 1121, 505, 66298, 4851, 8624, 11, 304, 902, 61464, 2001, 1903, 709, 315, 39086, 323, 1023, 33155, 2001, 52307, 304, 279, 85648, 11, 98867, 1124, 13, 6193, 892, 11, 420, 649, 54292, 279, 6530, 315, 6680, 627, 28551, 4279, 11384, 2997, 512, 12, 279, 62851, 315, 11217, 11, 1778, 439, 39123, 11, 902, 11384, 279, 6680, 31080, 311, 15376, 198, 12, 3428, 24463, 5990, 304, 279, 6680, 11, 4245, 11, 369, 3187, 11, 311, 12782, 1647, 55189, 52236, 198, 2170, 279, 362, 17455, 5296, 11, 279, 2768, 649, 5376, 279, 5326, 315, 264, 4851, 3440, 512, 12, 9191, 4325, 198, 12, 8762, 1877, 198, 12, 1579, 39086, 5990, 198, 12, 1579, 6680, 7410, 198, 12, 1023, 2890, 4787, 11, 1778, 439, 33048, 477, 20335, 198, 12, 3515, 264, 10173, 1579, 304, 15590, 15657, 323, 3779, 50127, 11, 70913, 11, 323, 12290, 198, 12, 3428, 5820, 5990, 198, 12, 19465, 9547, 323, 3070, 3925, 198, 12, 264, 1579, 13200, 23730, 198, 12, 1579, 5990, 315, 8631, 198, 78013, 11, 264, 4851, 3440, 3135, 505, 264, 10824, 315, 9547, 627, 644, 5369, 11, 279, 362, 17455, 1934, 430, 5348, 9053, 11, 20023, 87, 9053, 11, 17118, 9053, 11, 17118, 22153, 5493, 11, 323, 1063, 14875, 9053, 617, 7319, 15635, 315, 1579, 6680, 7410, 323, 23069, 315, 4851, 8624, 11, 7863, 449, 872, 4251, 38495, 627, 16298, 449, 1579, 6680, 7410, 477, 264, 3925, 315, 4851, 8624, 477, 41713, 8624, 1101, 617, 459, 7319, 5326, 315, 264, 4851, 3440, 627, 32, 4851, 3440, 649, 387, 2324, 27903, 323, 3966, 14247, 6593, 6666, 627, 1622, 19530, 2997, 6784, 323, 10508, 2136, 304, 279, 15489, 11, 6784, 304, 1023, 5596, 315, 279, 2547, 11, 323, 17250, 27027, 627, 2746, 5606, 706, 13803, 315, 264, 4851, 3440, 11, 4423, 1288, 1650, 220, 17000, 520, 3131, 13, 3161, 10137, 6514, 11, 1070, 374, 3629, 264, 1695, 6140, 315, 264, 6928, 15632, 627, 4518, 420, 4652, 304, 15506, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 39, 81, 411, 1609, 432, 9451, 276, 323, 832, 315, 813, 1695, 4885, 304, 279, 5064, 735, 26663, 82469, 1051, 3970, 520, 362, 309, 404, 25273, 753, 3838, 1566, 3814, 304, 17366, 969, 11, 35812, 627, 32, 2592, 2795, 11, 362, 309, 404, 18719, 473, 81, 411, 1609, 11, 735, 26663, 323, 69435, 380, 2394, 300, 9186, 28978, 6151, 311, 813, 22423, 369, 14177, 389, 7418, 11714, 11, 5246, 1306, 872, 9141, 2489, 627, 6153, 14177, 11, 473, 81, 411, 1609, 323, 735, 26663, 2163, 3871, 11, 1418, 362, 309, 404, 3782, 1523, 311, 1518, 5127, 1022, 627, 53379, 333, 14925, 25273, 43251, 449, 3451, 359, 12158, 3919, 529, 20449, 939, 587, 1147, 5380, 39115, 311, 1518, 2225, 1521, 49428, 11821, 4264, 3634, 832, 1938, 627, 11874, 315, 279, 1888, 20142, 3432, 627, 58554, 433, 753, 1633, 6555, 311, 1518, 220, 17, 315, 279, 49428, 3871, 627, 11874, 49428, 38048, 59162, 21279, 527, 1888, 478, 20142, 1403, 44327, 4285, 61810, 4999, 36412, 279, 220, 16, 267, 832, 40742, 627, 6219, 404, 690, 7168, 473, 81, 411, 1609, 753, 17343, 17343, 15661, 11, 358, 1440, 90251, 706, 264, 14964, 17444, 922, 3885, 5818, 3938, 627, 31, 1451, 55103, 11, 1772, 922, 279, 9141, 2489, 13, 69743, 11, 362, 309, 404, 11, 473, 81, 411, 1609, 11, 2100, 71, 607, 11, 423, 3394, 4497, 64, 11, 3765, 26301, 92180, 11, 26608, 276, 11, 23720, 447, 4939, 11, 47812, 11, 76479, 323, 1690, 1023, 20142, 1051, 3118, 520, 279, 1567, 13, 2435, 527, 1071, 311, 617, 16681, 1171, 4315, 1124, 1633, 1664, 13, 69743, 23415, 927, 21258, 311, 1475, 2851, 627, 96514, 264, 309, 404, 706, 912, 8679, 5647, 497, 5414, 8679, 1304, 1461, 1427, 1524, 24210, 627, 31, 40619, 13327, 7566, 362, 309, 404, 374, 2875, 719, 2103, 568, 374, 264, 13314, 1120, 1093, 38437, 258, 350, 408, 22537, 277, 11, 8563, 22102, 11, 27268, 71, 3919, 1611, 604, 11, 5099, 889, 682, 527, 2875, 439, 1664, 627, 4071, 568, 5992, 9193, 65655, 320, 797, 220, 18, 5336, 72, 2469, 304, 902, 568, 7111, 1093, 264, 220, 1313, 1060, 2362, 16715, 902, 1690, 9958, 6996, 627, 39, 81, 411, 1609, 520, 362, 309, 404, 753, 2162, 323, 1101, 814, 6476, 9141, 2489, 3871, 3924, 2862, 362, 309, 404, 690, 4984, 91028, 23163, 315, 25864, 5246, 719, 369, 1457, 220, 19, 2919, 311, 733, 369, 27776, 627, 708, 15526, 279, 1648, 90251, 26435, 305, 1494, 1494, 627, 32, 309, 17260, 8679, 5647, 24797, 1694, 520, 2162, 374, 1694, 70342, 2656, 555, 9072, 388, 12, 1268, 36747, 323, 72702, 2740, 12703, 12, 832, 1288, 10051, 1148, 3727, 1124, 2733, 10882, 323, 5423, 994, 279, 83, 527, 520, 2162, 449, 10456, 6305, 323, 4885, 21060, 0, 78336, 72, 6342, 374, 10882, 449, 12512, 813, 21271, 72, 520, 2162, 11, 69743, 374, 10882, 1694, 15845, 1752, 520, 2162, 323, 1618, 362, 309, 404, 374, 12512, 2380, 32573, 323, 264, 2536, 12864, 1948, 12, 2466, 3568, 719, 311, 9072, 388, 1202, 3403, 311, 1304, 264, 16700, 704, 315, 264, 14512, 497, 4999, 33947, 311, 1518, 1403, 20333, 20142, 1234, 264, 3254, 15485, 662, 358, 617, 2744, 10456, 279, 1648, 473, 81, 411, 1609, 706, 18908, 813, 24524, 449, 682, 813, 59504, 5548, 662, 1283, 374, 264, 1633, 3345, 4333, 315, 69743, 323, 1524, 34688, 74, 602, 1781, 779, 662, 1283, 323, 16762, 939, 352, 4430, 27848, 5201, 369, 1855, 1023, 662, 473, 81, 411, 1609, 706, 1101, 1071, 430, 39431, 44955, 374, 1093, 813, 14992, 10868, 568, 706, 1524, 4529, 2512, 315, 39431, 44955, 304, 20587, 662, 1115, 893, 1587, 539, 706, 904, 37374, 449, 21739, 662, 358, 3987, 473, 81, 411, 1609, 9731, 311, 10519, 813, 27607, 449, 682, 813, 59504, 5548, 304, 3938, 662, 358, 27136, 1541, 1431, 1440, 279, 24524, 1990, 41757, 352, 323, 473, 81, 411, 1609, 719, 4184, 311, 757, 814, 527, 14188, 23323, 6463, 14207, 662, 11995, 315, 1124, 617, 539, 22066, 922, 1855, 1023, 1524, 3131, 662, 423, 7169, 311, 3821, 279, 19809, 315, 17343, 17343, 662, 1115, 220, 17, 303, 6664, 16926, 387, 264, 1972, 7970, 27564, 662, 4702, 3868, 323, 3821, 16853, 4944, 4908, 757, 719, 584, 682, 1440, 430, 374, 1148, 3467, 36, 6459, 1053, 617, 1071, 422, 279, 59991, 574, 1618, 779, 281, 1936, 2915, 1888, 358, 9567, 1077, 311, 279, 21004, 1074, 323, 2543, 1077, 1938, 36941, 1523, 439, 1364, 16869, 617, 1077, 4545, 304, 279, 52495, 1457, 1981, 4999, 31, 40619, 13327, 3082, 813, 14535, 1253, 387, 2678, 719, 14346, 8334, 1587, 568, 2103, 21970, 927, 682, 813, 59504, 5548, 439, 1193, 568, 649, 11203, 3802, 311, 279, 2316, 315, 19546, 539, 832, 477, 1403, 719, 2380, 60713, 43907, 287, 27019, 4206, 2052, 4212, 2391, 813, 7076, 12, 1457, 41136, 459, 14079, 323, 1633, 2678, 3373, 6469, 1981, 0, 362, 309, 404, 37350, 305, 977, 89, 449, 813, 3335, 2363, 315, 3335, 14, 33997, 1981, 4999, 1271, 682, 279, 4411, 263, 9072, 388, 315, 264, 309, 404, 11, 889, 436, 577, 8260, 2875, 13, 78336, 38181, 6181, 19499, 74, 308, 9120, 1122, 86, 6181, 69743, 2225, 436, 2875, 13, 1628, 555, 279, 1648, 7000, 315, 279, 779, 2663, 16615, 20142, 617, 2728, 220, 18, 7520, 10306, 82, 304, 279, 3925, 315, 7904, 34292, 13, 2100, 2731, 636, 264, 2324, 3734, 369, 2567, 3794, 33630, 389, 3885, 753, 87117, 2450, 308, 26501, 627, 31, 587, 1120, 1427, 520, 264, 309, 404, 753, 15653, 497, 88468, 3371, 757, 3249, 264, 309, 404, 374, 12512, 1884, 15653, 449, 54166, 422, 568, 574, 1694, 779, 4865, 36514, 520, 2162, 0, 27074, 791, 2144, 374, 422, 3596, 577, 617, 13468, 568, 2744, 38400, 1579, 62320, 15653, 323, 2466, 26302, 311, 636, 3338, 5066, 2673, 497, 303, 602, 13454, 568, 706, 912, 8679, 5647, 3924, 288, 1120, 62945, 15953, 433, 9539, 5039, 80395, 426, 1623, 12501, 56, 17067, 52, 6805, 9182, 473, 835, 4419, 13, 1524, 37954, 426, 374, 264, 2466, 220, 15, 304, 4156, 315, 264, 309, 404, 753, 11005, 323, 39143, 11, 10894, 11, 4371, 1543, 11, 18514, 411, 1609, 11, 559, 1494, 2739, 31764, 11, 17774, 939, 352, 11, 12380, 627, 606, 374, 36526, 4794, 81455, 1111, 612, 220, 17, 303, 374, 7445, 12134, 627, 32, 309, 404, 2011, 387, 51346, 473, 81, 411, 1609, 389, 1268, 311, 3568, 449, 25549, 323, 636, 264, 502, 11, 1790, 14992, 7555, 13, 128001, 128000, 791, 9441, 1405, 358, 990, 4691, 757, 311, 656, 264, 1633, 2875, 22599, 369, 279, 75829, 420, 2046, 13, 1115, 374, 1148, 358, 6267, 13, 358, 2643, 733, 810, 1139, 420, 264, 2766, 3010, 13, 358, 574, 7347, 311, 922, 220, 5154, 4339, 627, 33672, 527, 1148, 499, 8343, 2476, 477, 520, 3325, 430, 374, 1268, 279, 5526, 17571, 5900, 13, 2684, 6866, 320, 269, 520, 3325, 1288, 3073, 8, 264, 15325, 3851, 315, 54641, 311, 2324, 13, 2100, 584, 2610, 11, 1054, 12840, 1587, 279, 17571, 3451, 2675, 527, 1148, 499, 8343, 529, 3152, 311, 279, 9052, 7813, 96430, 12671, 1442, 279, 2768, 5224, 374, 837, 1243, 22706, 706, 912, 5873, 719, 311, 2815, 1606, 682, 279, 3691, 22706, 60606, 374, 5710, 13, 1102, 374, 264, 12703, 25382, 315, 4648, 369, 22706, 25, 832, 315, 279, 1193, 1403, 31352, 2574, 304, 2324, 1389, 279, 1023, 1694, 13426, 627, 4071, 13085, 369, 832, 4545, 430, 1070, 374, 264, 3691, 430, 374, 5496, 323, 1587, 539, 2815, 13, 46637, 0, 2360, 1205, 311, 13085, 13, 1226, 51971, 617, 1778, 264, 8903, 323, 3691, 1766, 304, 279, 1376, 315, 279, 77097, 469, 30372, 380, 11, 902, 374, 9615, 279, 14285, 323, 20671, 315, 3771, 13, 1102, 374, 1555, 279, 20852, 304, 279, 77097, 23916, 2453, 306, 430, 584, 2288, 2643, 617, 2324, 323, 46798, 16409, 369, 1057, 35826, 13, 1472, 8434, 1431, 733, 264, 2046, 2085, 12459, 13, 8595, 733, 264, 2046, 2085, 26040, 701, 13836, 5380, 58276, 11, 422, 279, 1176, 5224, 374, 837, 1243, 539, 1193, 527, 584, 18719, 311, 617, 2324, 505, 3771, 11, 719, 584, 527, 1101, 2663, 311, 387, 3771, 311, 832, 2500, 13, 3771, 706, 912, 1023, 6206, 719, 11604, 323, 912, 1023, 7693, 1243, 1057, 1866, 13, 2100, 1148, 527, 499, 3815, 311, 4546, 3771, 311, 3885, 11, 323, 1148, 527, 499, 2133, 311, 656, 922, 433, 1314, 1457, 5380, 12947, 11, 499, 7752, 430, 374, 264, 2294, 1888, 5684, 4477, 2532, 16540, 13, 2567, 709, 279, 1695, 990, 304, 701, 38390, 5117, 13, 128001, 128000, 56, 640, 2117, 574, 264, 8762, 3823, 323, 264, 7834, 73798, 14933, 37478, 3196, 304, 5960, 13175, 304, 279, 220, 1419, 6634, 9478, 13, 816, 640, 2117, 17918, 675, 1063, 7677, 315, 279, 39608, 26551, 304, 220, 14206, 24, 627, 56, 640, 2117, 4018, 2875, 264, 13560, 430, 59094, 7957, 350, 13, 32446, 574, 389, 323, 12893, 1461, 13643, 3290, 315, 279, 26551, 369, 264, 10844, 34616, 9131, 13, 32446, 574, 311, 6493, 1403, 75617, 67007, 311, 279, 52022, 67, 269, 45629, 2786, 889, 1053, 17322, 264, 9096, 1984, 449, 279, 9395, 315, 13696, 3552, 4396, 1990, 52022, 67, 269, 323, 279, 28331, 13, 3700, 35869, 315, 279, 52022, 67, 269, 11, 279, 1984, 1047, 311, 387, 12886, 555, 459, 14933, 37478, 11, 902, 816, 640, 2117, 11497, 574, 3249, 22022, 3165, 1197, 7846, 956, 3063, 279, 9131, 13, 128001 ]
[ -100, 39, 81, 411, 1609, 432, 9451, 276, 323, 832, 315, 813, 1695, 4885, 304, 279, 5064, 735, 26663, 82469, 1051, 3970, 520, 362, 309, 404, 25273, 753, 3838, 1566, 3814, 304, 17366, 969, 11, 35812, 627, 32, 2592, 2795, 11, 362, 309, 404, 18719, 473, 81, 411, 1609, 11, 735, 26663, 323, 69435, 380, 2394, 300, 9186, 28978, 6151, 311, 813, 22423, 369, 14177, 389, 7418, 11714, 11, 5246, 1306, 872, 9141, 2489, 627, 6153, 14177, 11, 473, 81, 411, 1609, 323, 735, 26663, 2163, 3871, 11, 1418, 362, 309, 404, 3782, 1523, 311, 1518, 5127, 1022, 627, 53379, 333, 14925, 25273, 43251, 449, 3451, 359, 12158, 3919, 529, 20449, 939, 587, 1147, 5380, 39115, 311, 1518, 2225, 1521, 49428, 11821, 4264, 3634, 832, 1938, 627, 11874, 315, 279, 1888, 20142, 3432, 627, 58554, 433, 753, 1633, 6555, 311, 1518, 220, 17, 315, 279, 49428, 3871, 627, 11874, 49428, 38048, 59162, 21279, 527, 1888, 478, 20142, 1403, 44327, 4285, 61810, 4999, 36412, 279, 220, 16, 267, 832, 40742, 627, 6219, 404, 690, 7168, 473, 81, 411, 1609, 753, 17343, 17343, 15661, 11, 358, 1440, 90251, 706, 264, 14964, 17444, 922, 3885, 5818, 3938, 627, 31, 1451, 55103, 11, 1772, 922, 279, 9141, 2489, 13, 69743, 11, 362, 309, 404, 11, 473, 81, 411, 1609, 11, 2100, 71, 607, 11, 423, 3394, 4497, 64, 11, 3765, 26301, 92180, 11, 26608, 276, 11, 23720, 447, 4939, 11, 47812, 11, 76479, 323, 1690, 1023, 20142, 1051, 3118, 520, 279, 1567, 13, 2435, 527, 1071, 311, 617, 16681, 1171, 4315, 1124, 1633, 1664, 13, 69743, 23415, 927, 21258, 311, 1475, 2851, 627, 96514, 264, 309, 404, 706, 912, 8679, 5647, 497, 5414, 8679, 1304, 1461, 1427, 1524, 24210, 627, 31, 40619, 13327, 7566, 362, 309, 404, 374, 2875, 719, 2103, 568, 374, 264, 13314, 1120, 1093, 38437, 258, 350, 408, 22537, 277, 11, 8563, 22102, 11, 27268, 71, 3919, 1611, 604, 11, 5099, 889, 682, 527, 2875, 439, 1664, 627, 4071, 568, 5992, 9193, 65655, 320, 797, 220, 18, 5336, 72, 2469, 304, 902, 568, 7111, 1093, 264, 220, 1313, 1060, 2362, 16715, 902, 1690, 9958, 6996, 627, 39, 81, 411, 1609, 520, 362, 309, 404, 753, 2162, 323, 1101, 814, 6476, 9141, 2489, 3871, 3924, 2862, 362, 309, 404, 690, 4984, 91028, 23163, 315, 25864, 5246, 719, 369, 1457, 220, 19, 2919, 311, 733, 369, 27776, 627, 708, 15526, 279, 1648, 90251, 26435, 305, 1494, 1494, 627, 32, 309, 17260, 8679, 5647, 24797, 1694, 520, 2162, 374, 1694, 70342, 2656, 555, 9072, 388, 12, 1268, 36747, 323, 72702, 2740, 12703, 12, 832, 1288, 10051, 1148, 3727, 1124, 2733, 10882, 323, 5423, 994, 279, 83, 527, 520, 2162, 449, 10456, 6305, 323, 4885, 21060, 0, 78336, 72, 6342, 374, 10882, 449, 12512, 813, 21271, 72, 520, 2162, 11, 69743, 374, 10882, 1694, 15845, 1752, 520, 2162, 323, 1618, 362, 309, 404, 374, 12512, 2380, 32573, 323, 264, 2536, 12864, 1948, 12, 2466, 3568, 719, 311, 9072, 388, 1202, 3403, 311, 1304, 264, 16700, 704, 315, 264, 14512, 497, 4999, 33947, 311, 1518, 1403, 20333, 20142, 1234, 264, 3254, 15485, 662, 358, 617, 2744, 10456, 279, 1648, 473, 81, 411, 1609, 706, 18908, 813, 24524, 449, 682, 813, 59504, 5548, 662, 1283, 374, 264, 1633, 3345, 4333, 315, 69743, 323, 1524, 34688, 74, 602, 1781, 779, 662, 1283, 323, 16762, 939, 352, 4430, 27848, 5201, 369, 1855, 1023, 662, 473, 81, 411, 1609, 706, 1101, 1071, 430, 39431, 44955, 374, 1093, 813, 14992, 10868, 568, 706, 1524, 4529, 2512, 315, 39431, 44955, 304, 20587, 662, 1115, 893, 1587, 539, 706, 904, 37374, 449, 21739, 662, 358, 3987, 473, 81, 411, 1609, 9731, 311, 10519, 813, 27607, 449, 682, 813, 59504, 5548, 304, 3938, 662, 358, 27136, 1541, 1431, 1440, 279, 24524, 1990, 41757, 352, 323, 473, 81, 411, 1609, 719, 4184, 311, 757, 814, 527, 14188, 23323, 6463, 14207, 662, 11995, 315, 1124, 617, 539, 22066, 922, 1855, 1023, 1524, 3131, 662, 423, 7169, 311, 3821, 279, 19809, 315, 17343, 17343, 662, 1115, 220, 17, 303, 6664, 16926, 387, 264, 1972, 7970, 27564, 662, 4702, 3868, 323, 3821, 16853, 4944, 4908, 757, 719, 584, 682, 1440, 430, 374, 1148, 3467, 36, 6459, 1053, 617, 1071, 422, 279, 59991, 574, 1618, 779, 281, 1936, 2915, 1888, 358, 9567, 1077, 311, 279, 21004, 1074, 323, 2543, 1077, 1938, 36941, 1523, 439, 1364, 16869, 617, 1077, 4545, 304, 279, 52495, 1457, 1981, 4999, 31, 40619, 13327, 3082, 813, 14535, 1253, 387, 2678, 719, 14346, 8334, 1587, 568, 2103, 21970, 927, 682, 813, 59504, 5548, 439, 1193, 568, 649, 11203, 3802, 311, 279, 2316, 315, 19546, 539, 832, 477, 1403, 719, 2380, 60713, 43907, 287, 27019, 4206, 2052, 4212, 2391, 813, 7076, 12, 1457, 41136, 459, 14079, 323, 1633, 2678, 3373, 6469, 1981, 0, 362, 309, 404, 37350, 305, 977, 89, 449, 813, 3335, 2363, 315, 3335, 14, 33997, 1981, 4999, 1271, 682, 279, 4411, 263, 9072, 388, 315, 264, 309, 404, 11, 889, 436, 577, 8260, 2875, 13, 78336, 38181, 6181, 19499, 74, 308, 9120, 1122, 86, 6181, 69743, 2225, 436, 2875, 13, 1628, 555, 279, 1648, 7000, 315, 279, 779, 2663, 16615, 20142, 617, 2728, 220, 18, 7520, 10306, 82, 304, 279, 3925, 315, 7904, 34292, 13, 2100, 2731, 636, 264, 2324, 3734, 369, 2567, 3794, 33630, 389, 3885, 753, 87117, 2450, 308, 26501, 627, 31, 587, 1120, 1427, 520, 264, 309, 404, 753, 15653, 497, 88468, 3371, 757, 3249, 264, 309, 404, 374, 12512, 1884, 15653, 449, 54166, 422, 568, 574, 1694, 779, 4865, 36514, 520, 2162, 0, 27074, 791, 2144, 374, 422, 3596, 577, 617, 13468, 568, 2744, 38400, 1579, 62320, 15653, 323, 2466, 26302, 311, 636, 3338, 5066, 2673, 497, 303, 602, 13454, 568, 706, 912, 8679, 5647, 3924, 288, 1120, 62945, 15953, 433, 9539, 5039, 80395, 426, 1623, 12501, 56, 17067, 52, 6805, 9182, 473, 835, 4419, 13, 1524, 37954, 426, 374, 264, 2466, 220, 15, 304, 4156, 315, 264, 309, 404, 753, 11005, 323, 39143, 11, 10894, 11, 4371, 1543, 11, 18514, 411, 1609, 11, 559, 1494, 2739, 31764, 11, 17774, 939, 352, 11, 12380, 627, 606, 374, 36526, 4794, 81455, 1111, 612, 220, 17, 303, 374, 7445, 12134, 627, 32, 309, 404, 2011, 387, 51346, 473, 81, 411, 1609, 389, 1268, 311, 3568, 449, 25549, 323, 636, 264, 502, 11, 1790, 14992, 7555, 13, 128001, -100, 791, 9441, 1405, 358, 990, 4691, 757, 311, 656, 264, 1633, 2875, 22599, 369, 279, 75829, 420, 2046, 13, 1115, 374, 1148, 358, 6267, 13, 358, 2643, 733, 810, 1139, 420, 264, 2766, 3010, 13, 358, 574, 7347, 311, 922, 220, 5154, 4339, 627, 33672, 527, 1148, 499, 8343, 2476, 477, 520, 3325, 430, 374, 1268, 279, 5526, 17571, 5900, 13, 2684, 6866, 320, 269, 520, 3325, 1288, 3073, 8, 264, 15325, 3851, 315, 54641, 311, 2324, 13, 2100, 584, 2610, 11, 1054, 12840, 1587, 279, 17571, 3451, 2675, 527, 1148, 499, 8343, 529, 3152, 311, 279, 9052, 7813, 96430, 12671, 1442, 279, 2768, 5224, 374, 837, 1243, 22706, 706, 912, 5873, 719, 311, 2815, 1606, 682, 279, 3691, 22706, 60606, 374, 5710, 13, 1102, 374, 264, 12703, 25382, 315, 4648, 369, 22706, 25, 832, 315, 279, 1193, 1403, 31352, 2574, 304, 2324, 1389, 279, 1023, 1694, 13426, 627, 4071, 13085, 369, 832, 4545, 430, 1070, 374, 264, 3691, 430, 374, 5496, 323, 1587, 539, 2815, 13, 46637, 0, 2360, 1205, 311, 13085, 13, 1226, 51971, 617, 1778, 264, 8903, 323, 3691, 1766, 304, 279, 1376, 315, 279, 77097, 469, 30372, 380, 11, 902, 374, 9615, 279, 14285, 323, 20671, 315, 3771, 13, 1102, 374, 1555, 279, 20852, 304, 279, 77097, 23916, 2453, 306, 430, 584, 2288, 2643, 617, 2324, 323, 46798, 16409, 369, 1057, 35826, 13, 1472, 8434, 1431, 733, 264, 2046, 2085, 12459, 13, 8595, 733, 264, 2046, 2085, 26040, 701, 13836, 5380, 58276, 11, 422, 279, 1176, 5224, 374, 837, 1243, 539, 1193, 527, 584, 18719, 311, 617, 2324, 505, 3771, 11, 719, 584, 527, 1101, 2663, 311, 387, 3771, 311, 832, 2500, 13, 3771, 706, 912, 1023, 6206, 719, 11604, 323, 912, 1023, 7693, 1243, 1057, 1866, 13, 2100, 1148, 527, 499, 3815, 311, 4546, 3771, 311, 3885, 11, 323, 1148, 527, 499, 2133, 311, 656, 922, 433, 1314, 1457, 5380, 12947, 11, 499, 7752, 430, 374, 264, 2294, 1888, 5684, 4477, 2532, 16540, 13, 2567, 709, 279, 1695, 990, 304, 701, 38390, 5117, 13, 128001, -100, 56, 640, 2117, 574, 264, 8762, 3823, 323, 264, 7834, 73798, 14933, 37478, 3196, 304, 5960, 13175, 304, 279, 220, 1419, 6634, 9478, 13, 816, 640, 2117, 17918, 675, 1063, 7677, 315, 279, 39608, 26551, 304, 220, 14206, 24, 627, 56, 640, 2117, 4018, 2875, 264, 13560, 430, 59094, 7957, 350, 13, 32446, 574, 389, 323, 12893, 1461, 13643, 3290, 315, 279, 26551, 369, 264, 10844, 34616, 9131, 13, 32446, 574, 311, 6493, 1403, 75617, 67007, 311, 279, 52022, 67, 269, 45629, 2786, 889, 1053, 17322, 264, 9096, 1984, 449, 279, 9395, 315, 13696, 3552, 4396, 1990, 52022, 67, 269, 323, 279, 28331, 13, 3700, 35869, 315, 279, 52022, 67, 269, 11, 279, 1984, 1047, 311, 387, 12886, 555, 459, 14933, 37478, 11, 902, 816, 640, 2117, 11497, 574, 3249, 22022, 3165, 1197, 7846, 956, 3063, 279, 9131, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140 ]
[ 128000, 66048, 89308, 1322, 374, 459, 682, 5392, 4688, 22822, 369, 29106, 323, 21308, 53056, 13, 1115, 29106, 53056, 22822, 5727, 4642, 323, 5933, 14293, 430, 527, 19167, 311, 1520, 3932, 10519, 872, 29106, 2890, 69704, 13, 1102, 374, 5131, 832, 315, 279, 1948, 51950, 5933, 33690, 304, 279, 3157, 369, 21308, 2890, 13, 12783, 89308, 1322, 374, 279, 10973, 6425, 369, 20958, 279, 1888, 21308, 2890, 627, 35, 6430, 53056, 374, 2653, 311, 10519, 11, 5423, 46877, 11, 994, 15590, 15657, 527, 10671, 810, 4279, 11, 323, 527, 28987, 279, 29106, 323, 21308, 3044, 315, 11990, 1855, 1938, 13, 34088, 287, 701, 18311, 649, 539, 2744, 5471, 29106, 57709, 1385, 477, 4528, 4819, 11, 1606, 433, 753, 4661, 12266, 311, 15998, 18311, 11157, 477, 8983, 560, 264, 1938, 10597, 398, 13, 7648, 48804, 37256, 527, 7701, 11646, 323, 539, 17049, 369, 1690, 1274, 11, 902, 374, 264, 5199, 3575, 627, 11649, 11, 29106, 18512, 527, 912, 5129, 439, 36033, 11, 1606, 12074, 323, 17032, 617, 9124, 264, 659, 1355, 27781, 22822, 11, 34558, 704, 315, 5933, 14293, 11, 311, 1520, 1884, 19762, 311, 10519, 9250, 21308, 53056, 304, 264, 5933, 11, 17049, 323, 80192, 1648, 13, 12783, 89308, 1322, 374, 10171, 311, 387, 4529, 520, 3814, 1603, 21811, 369, 23669, 3135, 627, 11439, 311, 279, 4033, 3997, 11, 12783, 89308, 1322, 374, 6136, 6108, 323, 297, 9700, 287, 449, 9498, 46192, 323, 34072, 11, 902, 7431, 433, 311, 7417, 323, 10519, 832, 753, 21308, 323, 29106, 96391, 13750, 627, 791, 33690, 5933, 14293, 527, 28532, 505, 11012, 323, 1629, 1555, 10278, 7177, 311, 6106, 27375, 323, 4367, 1603, 1694, 72178, 3871, 13, 2684, 527, 7315, 85286, 477, 62186, 304, 279, 22822, 11, 902, 3727, 433, 6724, 6220, 311, 25024, 11, 323, 1949, 505, 904, 28856, 3185, 75888, 627, 1876, 7913, 555, 11355, 78537, 11, 420, 15150, 374, 659, 1355, 27781, 323, 7612, 7315, 9434, 9045, 13, 9843, 499, 1212, 4737, 279, 22822, 7446, 11, 433, 8779, 311, 22815, 6144, 701, 98754, 323, 18311, 505, 55537, 323, 1023, 28856, 19338, 627, 27831, 12783, 89308, 1322, 22822, 374, 19167, 311, 1862, 21308, 53056, 11, 323, 1520, 10519, 433, 11, 433, 753, 2103, 11349, 311, 1833, 29106, 53056, 12659, 11349, 555, 18653, 1705, 13, 3861, 1288, 15870, 15998, 872, 18311, 323, 282, 9563, 11, 311, 6106, 279, 22822, 4375, 1202, 1888, 627, 4438, 12838, 12783, 89308, 1322, 11736, 5380, 15546, 12540, 8718, 30193, 505, 1701, 12783, 89308, 1322, 1980, 791, 12783, 89308, 1322, 14293, 527, 8647, 369, 682, 279, 7720, 5938, 449, 433, 13, 10541, 1855, 315, 1124, 706, 5016, 2890, 7720, 311, 3085, 11, 439, 264, 15150, 11, 433, 23671, 988, 279, 4832, 8335, 53499, 638, 11, 902, 374, 5675, 4245, 311, 8009, 34625, 26870, 627, 9673, 37493, 527, 279, 1890, 439, 3691, 1355, 54492, 37493, 11, 779, 279, 22822, 6880, 5196, 264, 34625, 15150, 13, 578, 13326, 19433, 323, 42408, 43226, 26870, 617, 4018, 1523, 5370, 7718, 37493, 505, 279, 10173, 11, 902, 374, 3249, 4737, 34625, 33690, 374, 264, 4725, 3245, 3432, 13, 4452, 11, 279, 5873, 315, 22822, 13146, 11, 369, 902, 2133, 1555, 279, 14293, 6835, 279, 1888, 6945, 627, 2520, 12783, 89308, 1322, 65879, 11, 682, 14293, 21054, 279, 50123, 48294, 323, 8108, 279, 17393, 315, 75418, 30215, 11, 37140, 11, 323, 26588, 4814, 13, 578, 14293, 1093, 10418, 655, 483, 11, 49112, 2959, 11, 2579, 94802, 11, 1989, 718, 4845, 11, 85766, 85526, 11, 14403, 270, 29400, 11, 323, 3885, 1180, 1093, 264, 4686, 29106, 2512, 15150, 11, 902, 264, 1732, 1253, 6996, 1555, 279, 10173, 13, 36925, 12783, 89308, 1322, 7446, 323, 2768, 1063, 19433, 4442, 26420, 2731, 29106, 2890, 323, 4827, 29106, 8624, 5326, 627, 1271, 4048, 810, 922, 12783, 89308, 1322, 7720, 323, 1405, 311, 3780, 12783, 89308, 1322, 11, 4034, 279, 4033, 3997, 1618, 627, 791, 90865, 27279, 315, 16595, 5933, 42393, 11, 11012, 11, 34072, 11, 323, 46192, 374, 26154, 311, 12783, 89308, 1322, 753, 15150, 13, 578, 12472, 315, 3927, 14293, 374, 1664, 17303, 323, 2231, 304, 264, 48739, 3645, 311, 12192, 29106, 323, 21308, 2890, 627, 35930, 50293, 29106, 61464, 4235, 48804, 61464, 374, 279, 3789, 315, 682, 42365, 19338, 13, 1472, 649, 1935, 2585, 323, 5471, 279, 5353, 315, 67193, 344, 20000, 323, 4261, 546, 20000, 449, 12783, 89308, 1322, 13, 1442, 499, 2339, 279, 8624, 1603, 433, 8741, 11, 499, 649, 5766, 40876, 922, 26588, 31815, 323, 21308, 6784, 4999, 2149, 3532, 6629, 27639, 7351, 315, 18311, 4235, 26572, 546, 20000, 11384, 279, 18311, 48657, 311, 3719, 20784, 13, 12783, 89308, 1322, 8779, 304, 3339, 2771, 430, 279, 26588, 690, 3009, 67724, 304, 1202, 7728, 13, 1115, 22822, 10508, 729, 279, 98754, 323, 312, 29263, 1124, 311, 872, 4113, 1376, 13, 98978, 1862, 690, 387, 12207, 13241, 449, 12783, 89308, 1322, 627, 2822, 810, 16066, 505, 26588, 6784, 323, 42365, 37140, 4235, 1442, 15748, 29106, 6784, 62667, 499, 709, 520, 3814, 11, 1243, 12783, 89308, 1322, 1253, 387, 3025, 311, 1520, 499, 449, 430, 0, 1115, 22822, 374, 6799, 449, 5933, 14293, 430, 4465, 37140, 13, 3277, 37140, 374, 51512, 11, 279, 7410, 304, 279, 39881, 690, 1207, 3002, 11, 44649, 279, 6784, 627, 42, 3385, 3958, 11745, 4235, 578, 36075, 430, 4131, 449, 3515, 3958, 11745, 649, 387, 95982, 555, 1701, 420, 22822, 13, 11717, 11745, 374, 9057, 555, 459, 68331, 315, 24032, 4871, 279, 11013, 13, 33006, 8960, 21577, 315, 3300, 4235, 1472, 649, 5766, 39532, 34348, 29106, 16346, 449, 12783, 89308, 1322, 13, 1115, 22822, 690, 5471, 13803, 315, 42365, 8624, 505, 12765, 13, 1102, 649, 1101, 61705, 2736, 6484, 78167, 315, 4261, 546, 20000, 627, 16789, 6372, 14, 8300, 25082, 4235, 2684, 374, 912, 49836, 304, 1701, 420, 2027, 1606, 420, 1587, 539, 5353, 31959, 2890, 6372, 13, 4557, 389, 311, 1373, 1148, 279, 17032, 1550, 311, 1304, 420, 3284, 627, 1271, 4048, 810, 922, 279, 39195, 315, 12783, 89308, 1322, 11, 9369, 5810, 627, 5479, 6354, 54492, 682, 5392, 4688, 14293, 4235, 578, 2883, 430, 1903, 12783, 89308, 1322, 1550, 539, 4018, 24359, 311, 8356, 420, 15193, 22822, 13, 8442, 279, 1948, 28745, 31665, 527, 1511, 369, 420, 22822, 753, 5788, 11, 323, 499, 649, 387, 28478, 315, 1202, 7296, 323, 4367, 627, 58276, 11, 420, 22822, 1587, 539, 6782, 12936, 360, 1821, 323, 28367, 32246, 430, 6118, 5353, 3185, 6372, 304, 1023, 33690, 627, 6899, 4114, 32184, 8483, 4235, 12783, 89308, 1322, 374, 279, 1121, 315, 1667, 315, 3495, 323, 4500, 315, 1948, 1376, 42391, 323, 26677, 1705, 13, 1115, 22822, 374, 11951, 60394, 323, 24257, 311, 2307, 14215, 701, 85657, 779, 433, 690, 1180, 439, 264, 20858, 2403, 45964, 8951, 627, 82169, 612, 480, 5901, 52175, 4235, 12783, 89308, 1322, 374, 28648, 304, 30473, 323, 480, 5901, 12054, 13077, 430, 3539, 82743, 11, 7452, 11, 323, 24473, 10886, 627, 66048, 89308, 1322, 11, 8051, 6220, 323, 7524, 11, 1288, 539, 387, 1511, 555, 5127, 13, 4343, 279, 1160, 3770, 315, 1274, 889, 527, 2731, 1022, 19914, 2101, 505, 420, 2027, 627, 66048, 89308, 1322, 374, 369, 279, 1005, 315, 12884, 13, 62525, 1234, 279, 4325, 315, 220, 972, 1667, 2011, 58608, 505, 420, 22822, 627, 47, 40381, 519, 323, 28456, 3278, 1288, 5766, 420, 22822, 13, 11699, 6372, 389, 279, 6691, 323, 8945, 527, 539, 42817, 20041, 627, 2746, 499, 527, 57596, 311, 904, 315, 279, 14293, 10212, 11, 4737, 420, 22822, 2643, 52875, 349, 701, 57596, 25481, 13, 1472, 2011, 8666, 701, 28378, 1176, 1603, 4737, 420, 2027, 627, 2746, 499, 527, 4737, 31010, 477, 617, 264, 6593, 3044, 11, 8666, 264, 10896, 1176, 1603, 4560, 12783, 89308, 1322, 13, 1115, 22822, 2643, 7958, 701, 5623, 753, 17383, 315, 1957, 627, 2746, 499, 15562, 499, 617, 459, 2073, 72, 3326, 20158, 17563, 11, 617, 433, 10273, 555, 264, 28378, 1176, 13, 1115, 22822, 374, 539, 10825, 311, 58681, 11, 4322, 11, 477, 27208, 477, 5471, 904, 8624, 627, 80068, 3149, 505, 30473, 323, 480, 5901, 12054, 13077, 627, 1966, 279, 550, 292, 1291, 3185, 7863, 311, 23917, 27548, 627, 66048, 89308, 1322, 4131, 304, 65879, 11, 902, 527, 279, 1455, 17125, 1376, 315, 682, 13, 220, 2360, 1205, 369, 66838, 30090, 315, 279, 3392, 315, 2027, 4999, 43066, 287, 832, 16893, 315, 420, 22822, 690, 1304, 701, 98754, 1427, 39345, 323, 2733, 35092, 1195, 13, 9220, 27474, 690, 67845, 279, 98754, 323, 690, 8346, 279, 29219, 17383, 2403, 13935, 323, 24032, 13, 578, 5129, 12783, 89308, 1322, 374, 1511, 11, 279, 810, 8622, 1908, 1202, 6928, 6372, 690, 387, 627, 2520, 23669, 3135, 11, 1304, 2771, 311, 6857, 420, 22822, 449, 6300, 26588, 77826, 13, 34088, 287, 520, 3325, 11157, 264, 1938, 690, 1304, 12783, 89308, 1322, 753, 6372, 1524, 810, 8056, 13, 7811, 5977, 279, 50351, 369, 14348, 16204, 11157, 264, 1060, 649, 1101, 1520, 304, 20958, 12783, 89308, 1322, 753, 6928, 21308, 2890, 6372, 627, 66048, 89308, 1322, 374, 24121, 2561, 389, 279, 23479, 16406, 13, 53792, 4522, 420, 22822, 374, 264, 832, 7394, 11, 220, 1041, 1034, 5326, 12862, 9341, 13, 1115, 2027, 1587, 539, 2586, 449, 8340, 12718, 323, 41455, 627, 58276, 11, 279, 2883, 6209, 48774, 6462, 6067, 422, 499, 3197, 389, 12096, 420, 22822, 304, 7173, 10789, 13, 350, 3746, 304, 279, 1949, 11862, 66193, 304, 20155, 12096, 11, 323, 433, 374, 1457, 279, 4832, 3568, 4999, 791, 17032, 7079, 430, 420, 2027, 1288, 387, 4529, 369, 520, 3325, 220, 1954, 2919, 13, 1115, 6835, 279, 2547, 892, 311, 1920, 279, 6136, 49062, 323, 25539, 323, 7066, 49028, 315, 3958, 24032, 13, 1115, 4261, 690, 1101, 3041, 892, 369, 279, 18311, 311, 35406, 682, 279, 34072, 323, 37493, 304, 12783, 89308, 1322, 11, 29821, 287, 1667, 315, 29106, 39332, 627, 2746, 220, 1399, 2919, 617, 5946, 323, 499, 527, 2103, 539, 3794, 279, 6372, 430, 420, 22822, 8349, 11, 499, 527, 20458, 311, 279, 220, 1399, 11477, 220, 1041, 4, 3300, 15825, 15803, 627, 2181, 690, 22472, 279, 5326, 315, 10374, 701, 3300, 389, 264, 2027, 430, 1587, 539, 7937, 499, 13, 1102, 1587, 539, 5030, 422, 499, 617, 1511, 709, 279, 4459, 16893, 13, 578, 2883, 690, 21639, 499, 279, 7782, 3430, 11, 47947, 12862, 4999, 16, 5364, 6167, 30909, 25, 578, 832, 23086, 8312, 477, 3451, 16323, 529, 6462, 4131, 449, 832, 16893, 315, 279, 12783, 89308, 1322, 22822, 13, 1472, 649, 3780, 433, 369, 400, 3076, 13, 1472, 636, 264, 400, 966, 11336, 389, 279, 6462, 627, 18, 5364, 6167, 30909, 25, 1472, 649, 2015, 279, 220, 18, 23086, 6462, 477, 3451, 13622, 32495, 529, 8312, 369, 400, 11242, 13, 1102, 5727, 2380, 27474, 315, 279, 22822, 11, 779, 499, 2343, 400, 2946, 824, 16893, 315, 279, 2027, 13, 1472, 3665, 264, 2860, 315, 400, 4364, 389, 279, 6462, 627, 21, 5364, 6167, 30909, 25, 1472, 636, 4848, 27474, 315, 279, 2027, 304, 279, 4848, 23086, 6462, 13, 1472, 649, 2015, 279, 8312, 369, 400, 17168, 1193, 13, 2100, 11, 499, 13750, 2343, 400, 2491, 369, 1855, 22822, 16893, 13, 1472, 3665, 400, 3101, 389, 279, 8312, 627, 2409, 12783, 89308, 1322, 11, 499, 636, 1949, 11862, 323, 11850, 682, 4028, 279, 7427, 627, 2409, 12783, 89308, 1322, 11, 499, 649, 3009, 48897, 701, 892, 11, 4907, 11, 323, 3300, 389, 29106, 3956, 430, 656, 539, 990, 627, 2028, 682, 5392, 4688, 22822, 5825, 603, 449, 14964, 7720, 2085, 279, 49836, 315, 3185, 6372, 13, 1115, 22822, 649, 1520, 499, 3009, 21742, 39661, 389, 18653, 1705, 323, 872, 39532, 11646, 6514, 2671, 627, 1687, 4510, 430, 12783, 89308, 1322, 374, 5922, 279, 1456, 323, 279, 6130, 8544, 617, 1027, 6928, 13, 2468, 1202, 3430, 11, 420, 22822, 374, 264, 27669, 13, 1102, 1053, 387, 264, 16930, 422, 499, 656, 539, 4299, 279, 2015, 3215, 1457, 4999, 128001 ]
[ -100, 66048, 89308, 1322, 374, 459, 682, 5392, 4688, 22822, 369, 29106, 323, 21308, 53056, 13, 1115, 29106, 53056, 22822, 5727, 4642, 323, 5933, 14293, 430, 527, 19167, 311, 1520, 3932, 10519, 872, 29106, 2890, 69704, 13, 1102, 374, 5131, 832, 315, 279, 1948, 51950, 5933, 33690, 304, 279, 3157, 369, 21308, 2890, 13, 12783, 89308, 1322, 374, 279, 10973, 6425, 369, 20958, 279, 1888, 21308, 2890, 627, 35, 6430, 53056, 374, 2653, 311, 10519, 11, 5423, 46877, 11, 994, 15590, 15657, 527, 10671, 810, 4279, 11, 323, 527, 28987, 279, 29106, 323, 21308, 3044, 315, 11990, 1855, 1938, 13, 34088, 287, 701, 18311, 649, 539, 2744, 5471, 29106, 57709, 1385, 477, 4528, 4819, 11, 1606, 433, 753, 4661, 12266, 311, 15998, 18311, 11157, 477, 8983, 560, 264, 1938, 10597, 398, 13, 7648, 48804, 37256, 527, 7701, 11646, 323, 539, 17049, 369, 1690, 1274, 11, 902, 374, 264, 5199, 3575, 627, 11649, 11, 29106, 18512, 527, 912, 5129, 439, 36033, 11, 1606, 12074, 323, 17032, 617, 9124, 264, 659, 1355, 27781, 22822, 11, 34558, 704, 315, 5933, 14293, 11, 311, 1520, 1884, 19762, 311, 10519, 9250, 21308, 53056, 304, 264, 5933, 11, 17049, 323, 80192, 1648, 13, 12783, 89308, 1322, 374, 10171, 311, 387, 4529, 520, 3814, 1603, 21811, 369, 23669, 3135, 627, 11439, 311, 279, 4033, 3997, 11, 12783, 89308, 1322, 374, 6136, 6108, 323, 297, 9700, 287, 449, 9498, 46192, 323, 34072, 11, 902, 7431, 433, 311, 7417, 323, 10519, 832, 753, 21308, 323, 29106, 96391, 13750, 627, 791, 33690, 5933, 14293, 527, 28532, 505, 11012, 323, 1629, 1555, 10278, 7177, 311, 6106, 27375, 323, 4367, 1603, 1694, 72178, 3871, 13, 2684, 527, 7315, 85286, 477, 62186, 304, 279, 22822, 11, 902, 3727, 433, 6724, 6220, 311, 25024, 11, 323, 1949, 505, 904, 28856, 3185, 75888, 627, 1876, 7913, 555, 11355, 78537, 11, 420, 15150, 374, 659, 1355, 27781, 323, 7612, 7315, 9434, 9045, 13, 9843, 499, 1212, 4737, 279, 22822, 7446, 11, 433, 8779, 311, 22815, 6144, 701, 98754, 323, 18311, 505, 55537, 323, 1023, 28856, 19338, 627, 27831, 12783, 89308, 1322, 22822, 374, 19167, 311, 1862, 21308, 53056, 11, 323, 1520, 10519, 433, 11, 433, 753, 2103, 11349, 311, 1833, 29106, 53056, 12659, 11349, 555, 18653, 1705, 13, 3861, 1288, 15870, 15998, 872, 18311, 323, 282, 9563, 11, 311, 6106, 279, 22822, 4375, 1202, 1888, 627, 4438, 12838, 12783, 89308, 1322, 11736, 5380, 15546, 12540, 8718, 30193, 505, 1701, 12783, 89308, 1322, 1980, 791, 12783, 89308, 1322, 14293, 527, 8647, 369, 682, 279, 7720, 5938, 449, 433, 13, 10541, 1855, 315, 1124, 706, 5016, 2890, 7720, 311, 3085, 11, 439, 264, 15150, 11, 433, 23671, 988, 279, 4832, 8335, 53499, 638, 11, 902, 374, 5675, 4245, 311, 8009, 34625, 26870, 627, 9673, 37493, 527, 279, 1890, 439, 3691, 1355, 54492, 37493, 11, 779, 279, 22822, 6880, 5196, 264, 34625, 15150, 13, 578, 13326, 19433, 323, 42408, 43226, 26870, 617, 4018, 1523, 5370, 7718, 37493, 505, 279, 10173, 11, 902, 374, 3249, 4737, 34625, 33690, 374, 264, 4725, 3245, 3432, 13, 4452, 11, 279, 5873, 315, 22822, 13146, 11, 369, 902, 2133, 1555, 279, 14293, 6835, 279, 1888, 6945, 627, 2520, 12783, 89308, 1322, 65879, 11, 682, 14293, 21054, 279, 50123, 48294, 323, 8108, 279, 17393, 315, 75418, 30215, 11, 37140, 11, 323, 26588, 4814, 13, 578, 14293, 1093, 10418, 655, 483, 11, 49112, 2959, 11, 2579, 94802, 11, 1989, 718, 4845, 11, 85766, 85526, 11, 14403, 270, 29400, 11, 323, 3885, 1180, 1093, 264, 4686, 29106, 2512, 15150, 11, 902, 264, 1732, 1253, 6996, 1555, 279, 10173, 13, 36925, 12783, 89308, 1322, 7446, 323, 2768, 1063, 19433, 4442, 26420, 2731, 29106, 2890, 323, 4827, 29106, 8624, 5326, 627, 1271, 4048, 810, 922, 12783, 89308, 1322, 7720, 323, 1405, 311, 3780, 12783, 89308, 1322, 11, 4034, 279, 4033, 3997, 1618, 627, 791, 90865, 27279, 315, 16595, 5933, 42393, 11, 11012, 11, 34072, 11, 323, 46192, 374, 26154, 311, 12783, 89308, 1322, 753, 15150, 13, 578, 12472, 315, 3927, 14293, 374, 1664, 17303, 323, 2231, 304, 264, 48739, 3645, 311, 12192, 29106, 323, 21308, 2890, 627, 35930, 50293, 29106, 61464, 4235, 48804, 61464, 374, 279, 3789, 315, 682, 42365, 19338, 13, 1472, 649, 1935, 2585, 323, 5471, 279, 5353, 315, 67193, 344, 20000, 323, 4261, 546, 20000, 449, 12783, 89308, 1322, 13, 1442, 499, 2339, 279, 8624, 1603, 433, 8741, 11, 499, 649, 5766, 40876, 922, 26588, 31815, 323, 21308, 6784, 4999, 2149, 3532, 6629, 27639, 7351, 315, 18311, 4235, 26572, 546, 20000, 11384, 279, 18311, 48657, 311, 3719, 20784, 13, 12783, 89308, 1322, 8779, 304, 3339, 2771, 430, 279, 26588, 690, 3009, 67724, 304, 1202, 7728, 13, 1115, 22822, 10508, 729, 279, 98754, 323, 312, 29263, 1124, 311, 872, 4113, 1376, 13, 98978, 1862, 690, 387, 12207, 13241, 449, 12783, 89308, 1322, 627, 2822, 810, 16066, 505, 26588, 6784, 323, 42365, 37140, 4235, 1442, 15748, 29106, 6784, 62667, 499, 709, 520, 3814, 11, 1243, 12783, 89308, 1322, 1253, 387, 3025, 311, 1520, 499, 449, 430, 0, 1115, 22822, 374, 6799, 449, 5933, 14293, 430, 4465, 37140, 13, 3277, 37140, 374, 51512, 11, 279, 7410, 304, 279, 39881, 690, 1207, 3002, 11, 44649, 279, 6784, 627, 42, 3385, 3958, 11745, 4235, 578, 36075, 430, 4131, 449, 3515, 3958, 11745, 649, 387, 95982, 555, 1701, 420, 22822, 13, 11717, 11745, 374, 9057, 555, 459, 68331, 315, 24032, 4871, 279, 11013, 13, 33006, 8960, 21577, 315, 3300, 4235, 1472, 649, 5766, 39532, 34348, 29106, 16346, 449, 12783, 89308, 1322, 13, 1115, 22822, 690, 5471, 13803, 315, 42365, 8624, 505, 12765, 13, 1102, 649, 1101, 61705, 2736, 6484, 78167, 315, 4261, 546, 20000, 627, 16789, 6372, 14, 8300, 25082, 4235, 2684, 374, 912, 49836, 304, 1701, 420, 2027, 1606, 420, 1587, 539, 5353, 31959, 2890, 6372, 13, 4557, 389, 311, 1373, 1148, 279, 17032, 1550, 311, 1304, 420, 3284, 627, 1271, 4048, 810, 922, 279, 39195, 315, 12783, 89308, 1322, 11, 9369, 5810, 627, 5479, 6354, 54492, 682, 5392, 4688, 14293, 4235, 578, 2883, 430, 1903, 12783, 89308, 1322, 1550, 539, 4018, 24359, 311, 8356, 420, 15193, 22822, 13, 8442, 279, 1948, 28745, 31665, 527, 1511, 369, 420, 22822, 753, 5788, 11, 323, 499, 649, 387, 28478, 315, 1202, 7296, 323, 4367, 627, 58276, 11, 420, 22822, 1587, 539, 6782, 12936, 360, 1821, 323, 28367, 32246, 430, 6118, 5353, 3185, 6372, 304, 1023, 33690, 627, 6899, 4114, 32184, 8483, 4235, 12783, 89308, 1322, 374, 279, 1121, 315, 1667, 315, 3495, 323, 4500, 315, 1948, 1376, 42391, 323, 26677, 1705, 13, 1115, 22822, 374, 11951, 60394, 323, 24257, 311, 2307, 14215, 701, 85657, 779, 433, 690, 1180, 439, 264, 20858, 2403, 45964, 8951, 627, 82169, 612, 480, 5901, 52175, 4235, 12783, 89308, 1322, 374, 28648, 304, 30473, 323, 480, 5901, 12054, 13077, 430, 3539, 82743, 11, 7452, 11, 323, 24473, 10886, 627, 66048, 89308, 1322, 11, 8051, 6220, 323, 7524, 11, 1288, 539, 387, 1511, 555, 5127, 13, 4343, 279, 1160, 3770, 315, 1274, 889, 527, 2731, 1022, 19914, 2101, 505, 420, 2027, 627, 66048, 89308, 1322, 374, 369, 279, 1005, 315, 12884, 13, 62525, 1234, 279, 4325, 315, 220, 972, 1667, 2011, 58608, 505, 420, 22822, 627, 47, 40381, 519, 323, 28456, 3278, 1288, 5766, 420, 22822, 13, 11699, 6372, 389, 279, 6691, 323, 8945, 527, 539, 42817, 20041, 627, 2746, 499, 527, 57596, 311, 904, 315, 279, 14293, 10212, 11, 4737, 420, 22822, 2643, 52875, 349, 701, 57596, 25481, 13, 1472, 2011, 8666, 701, 28378, 1176, 1603, 4737, 420, 2027, 627, 2746, 499, 527, 4737, 31010, 477, 617, 264, 6593, 3044, 11, 8666, 264, 10896, 1176, 1603, 4560, 12783, 89308, 1322, 13, 1115, 22822, 2643, 7958, 701, 5623, 753, 17383, 315, 1957, 627, 2746, 499, 15562, 499, 617, 459, 2073, 72, 3326, 20158, 17563, 11, 617, 433, 10273, 555, 264, 28378, 1176, 13, 1115, 22822, 374, 539, 10825, 311, 58681, 11, 4322, 11, 477, 27208, 477, 5471, 904, 8624, 627, 80068, 3149, 505, 30473, 323, 480, 5901, 12054, 13077, 627, 1966, 279, 550, 292, 1291, 3185, 7863, 311, 23917, 27548, 627, 66048, 89308, 1322, 4131, 304, 65879, 11, 902, 527, 279, 1455, 17125, 1376, 315, 682, 13, 220, 2360, 1205, 369, 66838, 30090, 315, 279, 3392, 315, 2027, 4999, 43066, 287, 832, 16893, 315, 420, 22822, 690, 1304, 701, 98754, 1427, 39345, 323, 2733, 35092, 1195, 13, 9220, 27474, 690, 67845, 279, 98754, 323, 690, 8346, 279, 29219, 17383, 2403, 13935, 323, 24032, 13, 578, 5129, 12783, 89308, 1322, 374, 1511, 11, 279, 810, 8622, 1908, 1202, 6928, 6372, 690, 387, 627, 2520, 23669, 3135, 11, 1304, 2771, 311, 6857, 420, 22822, 449, 6300, 26588, 77826, 13, 34088, 287, 520, 3325, 11157, 264, 1938, 690, 1304, 12783, 89308, 1322, 753, 6372, 1524, 810, 8056, 13, 7811, 5977, 279, 50351, 369, 14348, 16204, 11157, 264, 1060, 649, 1101, 1520, 304, 20958, 12783, 89308, 1322, 753, 6928, 21308, 2890, 6372, 627, 66048, 89308, 1322, 374, 24121, 2561, 389, 279, 23479, 16406, 13, 53792, 4522, 420, 22822, 374, 264, 832, 7394, 11, 220, 1041, 1034, 5326, 12862, 9341, 13, 1115, 2027, 1587, 539, 2586, 449, 8340, 12718, 323, 41455, 627, 58276, 11, 279, 2883, 6209, 48774, 6462, 6067, 422, 499, 3197, 389, 12096, 420, 22822, 304, 7173, 10789, 13, 350, 3746, 304, 279, 1949, 11862, 66193, 304, 20155, 12096, 11, 323, 433, 374, 1457, 279, 4832, 3568, 4999, 791, 17032, 7079, 430, 420, 2027, 1288, 387, 4529, 369, 520, 3325, 220, 1954, 2919, 13, 1115, 6835, 279, 2547, 892, 311, 1920, 279, 6136, 49062, 323, 25539, 323, 7066, 49028, 315, 3958, 24032, 13, 1115, 4261, 690, 1101, 3041, 892, 369, 279, 18311, 311, 35406, 682, 279, 34072, 323, 37493, 304, 12783, 89308, 1322, 11, 29821, 287, 1667, 315, 29106, 39332, 627, 2746, 220, 1399, 2919, 617, 5946, 323, 499, 527, 2103, 539, 3794, 279, 6372, 430, 420, 22822, 8349, 11, 499, 527, 20458, 311, 279, 220, 1399, 11477, 220, 1041, 4, 3300, 15825, 15803, 627, 2181, 690, 22472, 279, 5326, 315, 10374, 701, 3300, 389, 264, 2027, 430, 1587, 539, 7937, 499, 13, 1102, 1587, 539, 5030, 422, 499, 617, 1511, 709, 279, 4459, 16893, 13, 578, 2883, 690, 21639, 499, 279, 7782, 3430, 11, 47947, 12862, 4999, 16, 5364, 6167, 30909, 25, 578, 832, 23086, 8312, 477, 3451, 16323, 529, 6462, 4131, 449, 832, 16893, 315, 279, 12783, 89308, 1322, 22822, 13, 1472, 649, 3780, 433, 369, 400, 3076, 13, 1472, 636, 264, 400, 966, 11336, 389, 279, 6462, 627, 18, 5364, 6167, 30909, 25, 1472, 649, 2015, 279, 220, 18, 23086, 6462, 477, 3451, 13622, 32495, 529, 8312, 369, 400, 11242, 13, 1102, 5727, 2380, 27474, 315, 279, 22822, 11, 779, 499, 2343, 400, 2946, 824, 16893, 315, 279, 2027, 13, 1472, 3665, 264, 2860, 315, 400, 4364, 389, 279, 6462, 627, 21, 5364, 6167, 30909, 25, 1472, 636, 4848, 27474, 315, 279, 2027, 304, 279, 4848, 23086, 6462, 13, 1472, 649, 2015, 279, 8312, 369, 400, 17168, 1193, 13, 2100, 11, 499, 13750, 2343, 400, 2491, 369, 1855, 22822, 16893, 13, 1472, 3665, 400, 3101, 389, 279, 8312, 627, 2409, 12783, 89308, 1322, 11, 499, 636, 1949, 11862, 323, 11850, 682, 4028, 279, 7427, 627, 2409, 12783, 89308, 1322, 11, 499, 649, 3009, 48897, 701, 892, 11, 4907, 11, 323, 3300, 389, 29106, 3956, 430, 656, 539, 990, 627, 2028, 682, 5392, 4688, 22822, 5825, 603, 449, 14964, 7720, 2085, 279, 49836, 315, 3185, 6372, 13, 1115, 22822, 649, 1520, 499, 3009, 21742, 39661, 389, 18653, 1705, 323, 872, 39532, 11646, 6514, 2671, 627, 1687, 4510, 430, 12783, 89308, 1322, 374, 5922, 279, 1456, 323, 279, 6130, 8544, 617, 1027, 6928, 13, 2468, 1202, 3430, 11, 420, 22822, 374, 264, 27669, 13, 1102, 1053, 387, 264, 16930, 422, 499, 656, 539, 4299, 279, 2015, 3215, 1457, 4999, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947 ]
[ 128000, 644, 6354, 2184, 10170, 2998, 14172, 479, 6826, 198, 3923, 649, 584, 656, 369, 701, 2978, 5380, 37, 49389, 6406, 220, 19, 11529, 1101, 6209, 264, 8205, 315, 7620, 311, 99915, 6406, 31483, 13, 1226, 656, 6206, 10539, 8198, 70272, 7620, 369, 904, 2978, 304, 99915, 6406, 13, 5321, 3729, 603, 422, 499, 1053, 1093, 264, 220, 19, 11529, 2068, 304, 701, 2978, 627, 20, 339, 24749, 45434, 10170, 2998, 14172, 479, 61566, 198, 37, 49389, 6406, 220, 19, 11529, 74198, 15438, 8198, 70272, 7620, 304, 1690, 36256, 8853, 304, 99915, 6406, 13, 1115, 1060, 1317, 2068, 5764, 4135, 287, 6469, 9808, 11, 264, 6206, 389, 945, 462, 31419, 1873, 18228, 11, 323, 5907, 66695, 13, 3580, 3770, 369, 18228, 28887, 323, 24229, 26670, 627, 19, 339, 24749, 10170, 2998, 14172, 479, 61566, 198, 9673, 18872, 649, 387, 13847, 389, 459, 3927, 8197, 4184, 311, 701, 2978, 596, 9899, 13, 9359, 603, 311, 9899, 904, 315, 279, 3770, 18872, 369, 701, 538, 520, 912, 6900, 627, 72041, 744, 32235, 15330, 320, 19, 11529, 75306, 8, 55389, 25, 2057, 1893, 264, 6206, 10539, 1646, 45296, 279, 5569, 27650, 315, 279, 25450, 744, 1701, 87283, 8316, 430, 706, 1027, 16489, 1139, 264, 220, 605, 2960, 26402, 5569, 627, 791, 80953, 43680, 320, 8006, 468, 1372, 8, 55389, 25, 61885, 279, 19567, 323, 5415, 315, 3090, 2949, 279, 3090, 11008, 198, 12174, 64191, 0, 320, 8006, 468, 31315, 8, 320, 8006, 468, 31315, 8, 55389, 25, 33405, 71015, 1268, 5496, 2574, 1205, 3691, 11, 3090, 323, 23756, 311, 41972, 304, 459, 4676, 11, 323, 279, 12939, 315, 44463, 2561, 5070, 449, 7187, 3966, 13, 128001, 128000, 60210, 505, 279, 5165, 3907, 315, 21181, 320, 45, 2078, 8, 6011, 315, 51684, 17005, 617, 39297, 264, 502, 46474, 12585, 814, 617, 5918, 304, 279, 1376, 315, 264, 59101, 296, 8424, 18803, 13, 4388, 311, 66585, 279, 24269, 63907, 6082, 315, 279, 296, 8424, 18803, 369, 3495, 323, 22156, 10096, 13, 578, 59101, 296, 8424, 18803, 374, 13171, 315, 24269, 520, 264, 4732, 315, 11157, 1202, 2547, 29416, 824, 2132, 369, 709, 311, 220, 605, 4207, 389, 264, 3254, 6900, 11, 10923, 12074, 311, 6920, 704, 46474, 22156, 2085, 34973, 279, 5933, 26031, 627, 44, 8424, 45220, 527, 6646, 832, 315, 7138, 753, 1455, 11297, 2064, 73683, 11, 60662, 264, 5016, 91228, 17383, 20426, 904, 1023, 46474, 9606, 13, 2998, 19295, 1124, 311, 31551, 1555, 83321, 52840, 69704, 13, 578, 91228, 1887, 315, 279, 386, 8424, 13558, 706, 14948, 1690, 12074, 311, 1456, 323, 33435, 4528, 24717, 1139, 39293, 46474, 11731, 4869, 279, 2128, 520, 452, 2078, 617, 8308, 279, 3465, 449, 8056, 15374, 13, 10573, 279, 2835, 3770, 311, 1518, 264, 4062, 30816, 315, 279, 24269, 17357, 315, 279, 452, 2078, 59101, 296, 8424, 18803, 627, 99728, 8626, 90965, 15100, 551, 1054, 44179, 1023, 1344, 3713, 6108, 46474, 29807, 430, 46113, 296, 8424, 18803, 753, 1344, 3713, 24890, 34805, 555, 1701, 5361, 38424, 311, 11322, 4642, 1180, 38170, 6957, 279, 66079, 11, 386, 8424, 35, 1607, 374, 23134, 555, 1193, 832, 9249, 9048, 389, 1855, 1913, 13, 1226, 1243, 1095, 279, 28979, 25152, 315, 279, 66079, 16681, 18182, 449, 279, 15962, 30295, 315, 279, 3090, 311, 89483, 279, 17876, 54245, 2476, 1789, 810, 2038, 7940, 927, 311, 279, 4033, 452, 2078, 26833, 13674, 5613, 555, 2768, 279, 2723, 3770, 627, 33092, 71465, 88, 72042, 19209, 42282, 198, 92165, 25, 4427, 315, 1057, 9908, 2997, 22325, 7902, 13, 1442, 499, 3780, 2555, 1555, 832, 315, 1521, 7902, 11, 71465, 88, 72042, 19209, 1253, 7380, 459, 22325, 12396, 13, 15281, 810, 13, 128001, 128000, 791, 20005, 54439, 6004, 21487, 1522, 13270, 261, 74400, 75243, 389, 8079, 11, 264, 2305, 8469, 315, 279, 502, 10966, 1060, 627, 644, 1403, 15956, 449, 279, 54439, 11, 75243, 3940, 220, 777, 315, 220, 1591, 3953, 6476, 11, 8558, 220, 22, 13, 20, 57871, 11, 220, 845, 37670, 13280, 323, 3116, 9770, 282, 58199, 13, 3011, 5788, 574, 264, 3117, 16106, 505, 813, 72560, 220, 679, 24, 3280, 11, 304, 902, 568, 2231, 709, 220, 806, 13, 20, 57871, 369, 279, 9853, 12167, 38603, 13, 578, 4846, 2360, 13, 220, 18, 8244, 3820, 304, 279, 220, 679, 20, 10165, 1101, 7543, 5361, 5672, 927, 279, 1566, 1403, 15956, 389, 15902, 21137, 323, 279, 21137, 14, 79063, 12, 777, 1160, 627, 2127, 24279, 505, 264, 3766, 54439, 17942, 11, 75243, 690, 1457, 617, 279, 6776, 311, 3820, 813, 1828, 3813, 1603, 279, 18197, 70, 988, 1825, 304, 5209, 5364, 1132, 13, 128001, 128000, 791, 12072, 430, 574, 8621, 389, 5887, 220, 966, 11, 220, 2366, 17, 374, 24895, 555, 264, 7528, 3786, 430, 8349, 26, 1054, 1951, 17414, 4900, 12656, 432, 1564, 753, 1862, 7319, 311, 220, 5547, 4, 505, 220, 4370, 4, 11453, 578, 12072, 11, 902, 706, 1027, 2160, 60708, 927, 220, 6889, 22, 3115, 11, 682, 29246, 311, 264, 6405, 7230, 568, 13375, 389, 813, 6405, 2199, 389, 5887, 220, 605, 902, 568, 1071, 29280, 660, 449, 8349, 389, 279, 7528, 3786, 627, 16397, 459, 7274, 389, 3297, 220, 2148, 11, 220, 2366, 17, 520, 47317, 6007, 11, 393, 815, 13, 13528, 95051, 735, 581, 78215, 11, 279, 37409, 12667, 315, 279, 3314, 6011, 315, 29958, 612, 47317, 8471, 11922, 430, 11478, 828, 16717, 430, 13621, 9322, 24720, 64, 507, 7113, 64, 690, 3243, 279, 6287, 220, 24, 11, 6355, 449, 264, 220, 1399, 4, 4850, 627, 1951, 17414, 4900, 12656, 432, 1564, 10485, 65, 3384, 279, 8349, 323, 1071, 430, 568, 574, 810, 6223, 88, 311, 11478, 6821, 323, 430, 279, 452, 1669, 1934, 8710, 813, 26283, 37766, 735, 16965, 4458, 574, 8469, 315, 872, 28650, 449, 220, 23, 14697, 4452, 11, 14188, 735, 581, 78215, 6463, 432, 1564, 3984, 2807, 23444, 8336, 627, 47, 815, 13, 735, 581, 78215, 1550, 539, 3041, 4726, 20064, 7174, 389, 279, 2592, 315, 420, 828, 477, 422, 1778, 264, 1934, 574, 2561, 369, 3477, 13, 393, 16960, 435, 62472, 8385, 574, 12153, 311, 5662, 1461, 369, 64784, 627, 791, 7528, 3786, 568, 6222, 15151, 520, 279, 5740, 430, 279, 2592, 315, 279, 2038, 374, 25, 452, 1669, 1934, 5887, 220, 1544, 13, 4452, 11, 393, 16960, 435, 62472, 8385, 1550, 539, 1505, 1778, 264, 1934, 389, 279, 452, 1669, 3997, 477, 12660, 775, 2930, 13, 362, 10134, 2217, 2778, 315, 279, 7528, 3786, 21667, 4528, 8661, 20506, 1618, 430, 1436, 617, 1027, 1511, 311, 1304, 279, 3786, 627, 47, 16960, 435, 62472, 8385, 753, 13865, 311, 5662, 452, 1669, 439, 1664, 439, 38651, 8733, 38651, 8733, 369, 4068, 389, 279, 3802, 4024, 76547, 627, 791, 3802, 304, 279, 3786, 374, 9662, 13382, 323, 8617, 38309, 627, 21365, 8349, 430, 527, 46941, 2930, 1253, 387, 5353, 369, 91222, 304, 279, 3135, 315, 279, 4689, 16374, 1418, 1101, 86644, 75159, 2212, 279, 16374, 627, 21994, 12838, 1115, 6405, 8785, 7984, 647, 311, 12343, 18798, 10649, 5380, 128001, 128000, 791, 468, 2791, 27087, 690, 13500, 499, 2680, 311, 13398, 315, 856, 3021, 323, 37805, 4999, 2675, 690, 1101, 636, 2680, 311, 7446, 47218, 68782, 1193, 23700, 369, 31120, 627, 791, 32666, 27087, 25076, 499, 4999, 12, 6182, 311, 330, 15824, 1, 6959, 439, 814, 527, 1903, 13, 330, 11873, 1, 6959, 527, 13726, 29159, 11, 6118, 832, 2199, 11, 430, 527, 8621, 1990, 30732, 13, 25676, 636, 1124, 439, 814, 527, 8220, 4619, 315, 8748, 12222, 279, 842, 315, 30732, 627, 791, 27156, 2785, 14, 5519, 20659, 27087, 25076, 499, 4999, 12, 2566, 389, 289, 575, 7224, 1778, 439, 3682, 45543, 323, 2835, 7224, 4999, 791, 27156, 15302, 4748, 27087, 25076, 499, 4999, 12, 2675, 3077, 1027, 61246, 389, 856, 3021, 323, 37805, 13, 503, 86626, 84, 543, 4999, 791, 480, 8548, 885, 844, 27087, 25076, 499, 4999, 791, 662, 662, 662, 358, 2216, 15890, 49996, 9522, 33327, 220, 16, 267, 15785, 279, 4033, 8736, 315, 279, 40989, 82, 19017, 5247, 3804, 11853, 16241, 277, 2199, 4999, 3915, 6186, 220, 16, 267, 79287, 1070, 690, 387, 14079, 7446, 68782, 23700, 369, 279, 468, 2791, 27087, 13, 1472, 649, 2680, 682, 315, 1521, 68782, 369, 1120, 220, 16, 3, 264, 2305, 0, 1789, 279, 892, 1694, 11, 1070, 374, 912, 1972, 364, 9224, 6, 369, 7446, 68782, 719, 1070, 690, 387, 23925, 304, 279, 3938, 627, 4061, 704, 279, 1023, 64271, 323, 4822, 33519, 369, 810, 14079, 2262, 311, 2586, 4999, 3, 1135, 264, 2305, 27074, 549, 4195, 643, 398, 74154, 0, 358, 690, 1304, 264, 2875, 2835, 94121, 1855, 323, 1475, 7834, 4999, 3, 1041, 264, 2305, 34115, 70900, 666, 1900, 1120, 653, 3087, 35, 315, 0, 358, 690, 1304, 2500, 2835, 94121, 1855, 323, 1475, 36380, 323, 690, 6106, 430, 520, 8187, 11, 220, 17, 2835, 2447, 690, 387, 1903, 824, 1060, 627, 3, 2636, 27074, 27074, 27074, 27074, 27074, 27074, 27074, 1472, 617, 12890, 835, 311, 387, 735, 26507, 1753, 757, 0, 3861, 810, 9901, 499, 2835, 719, 420, 892, 1855, 323, 1475, 36380, 690, 387, 15109, 1234, 872, 27087, 15609, 555, 264, 5016, 88808, 273, 315, 872, 19301, 4999, 3, 1041, 15, 17523, 12340, 7801, 27074, 27074, 27074, 27074, 27074, 27074, 27074, 27074, 1472, 7752, 2216, 1781, 358, 617, 420, 1790, 350, 6093, 306, 34115, 12340, 1115, 5915, 1253, 387, 32828, 520, 264, 3010, 2457, 719, 11, 369, 1457, 11, 420, 27087, 690, 2187, 757, 311, 1304, 264, 2466, 3351, 311, 856, 8063, 6710, 315, 33489, 3424, 13, 2684, 527, 1023, 8336, 315, 8070, 2133, 1139, 856, 3351, 3887, 779, 422, 358, 3077, 2736, 1903, 420, 3351, 11, 420, 5915, 690, 2349, 13, 128001 ]
[ -100, 644, 6354, 2184, 10170, 2998, 14172, 479, 6826, 198, 3923, 649, 584, 656, 369, 701, 2978, 5380, 37, 49389, 6406, 220, 19, 11529, 1101, 6209, 264, 8205, 315, 7620, 311, 99915, 6406, 31483, 13, 1226, 656, 6206, 10539, 8198, 70272, 7620, 369, 904, 2978, 304, 99915, 6406, 13, 5321, 3729, 603, 422, 499, 1053, 1093, 264, 220, 19, 11529, 2068, 304, 701, 2978, 627, 20, 339, 24749, 45434, 10170, 2998, 14172, 479, 61566, 198, 37, 49389, 6406, 220, 19, 11529, 74198, 15438, 8198, 70272, 7620, 304, 1690, 36256, 8853, 304, 99915, 6406, 13, 1115, 1060, 1317, 2068, 5764, 4135, 287, 6469, 9808, 11, 264, 6206, 389, 945, 462, 31419, 1873, 18228, 11, 323, 5907, 66695, 13, 3580, 3770, 369, 18228, 28887, 323, 24229, 26670, 627, 19, 339, 24749, 10170, 2998, 14172, 479, 61566, 198, 9673, 18872, 649, 387, 13847, 389, 459, 3927, 8197, 4184, 311, 701, 2978, 596, 9899, 13, 9359, 603, 311, 9899, 904, 315, 279, 3770, 18872, 369, 701, 538, 520, 912, 6900, 627, 72041, 744, 32235, 15330, 320, 19, 11529, 75306, 8, 55389, 25, 2057, 1893, 264, 6206, 10539, 1646, 45296, 279, 5569, 27650, 315, 279, 25450, 744, 1701, 87283, 8316, 430, 706, 1027, 16489, 1139, 264, 220, 605, 2960, 26402, 5569, 627, 791, 80953, 43680, 320, 8006, 468, 1372, 8, 55389, 25, 61885, 279, 19567, 323, 5415, 315, 3090, 2949, 279, 3090, 11008, 198, 12174, 64191, 0, 320, 8006, 468, 31315, 8, 320, 8006, 468, 31315, 8, 55389, 25, 33405, 71015, 1268, 5496, 2574, 1205, 3691, 11, 3090, 323, 23756, 311, 41972, 304, 459, 4676, 11, 323, 279, 12939, 315, 44463, 2561, 5070, 449, 7187, 3966, 13, 128001, -100, 60210, 505, 279, 5165, 3907, 315, 21181, 320, 45, 2078, 8, 6011, 315, 51684, 17005, 617, 39297, 264, 502, 46474, 12585, 814, 617, 5918, 304, 279, 1376, 315, 264, 59101, 296, 8424, 18803, 13, 4388, 311, 66585, 279, 24269, 63907, 6082, 315, 279, 296, 8424, 18803, 369, 3495, 323, 22156, 10096, 13, 578, 59101, 296, 8424, 18803, 374, 13171, 315, 24269, 520, 264, 4732, 315, 11157, 1202, 2547, 29416, 824, 2132, 369, 709, 311, 220, 605, 4207, 389, 264, 3254, 6900, 11, 10923, 12074, 311, 6920, 704, 46474, 22156, 2085, 34973, 279, 5933, 26031, 627, 44, 8424, 45220, 527, 6646, 832, 315, 7138, 753, 1455, 11297, 2064, 73683, 11, 60662, 264, 5016, 91228, 17383, 20426, 904, 1023, 46474, 9606, 13, 2998, 19295, 1124, 311, 31551, 1555, 83321, 52840, 69704, 13, 578, 91228, 1887, 315, 279, 386, 8424, 13558, 706, 14948, 1690, 12074, 311, 1456, 323, 33435, 4528, 24717, 1139, 39293, 46474, 11731, 4869, 279, 2128, 520, 452, 2078, 617, 8308, 279, 3465, 449, 8056, 15374, 13, 10573, 279, 2835, 3770, 311, 1518, 264, 4062, 30816, 315, 279, 24269, 17357, 315, 279, 452, 2078, 59101, 296, 8424, 18803, 627, 99728, 8626, 90965, 15100, 551, 1054, 44179, 1023, 1344, 3713, 6108, 46474, 29807, 430, 46113, 296, 8424, 18803, 753, 1344, 3713, 24890, 34805, 555, 1701, 5361, 38424, 311, 11322, 4642, 1180, 38170, 6957, 279, 66079, 11, 386, 8424, 35, 1607, 374, 23134, 555, 1193, 832, 9249, 9048, 389, 1855, 1913, 13, 1226, 1243, 1095, 279, 28979, 25152, 315, 279, 66079, 16681, 18182, 449, 279, 15962, 30295, 315, 279, 3090, 311, 89483, 279, 17876, 54245, 2476, 1789, 810, 2038, 7940, 927, 311, 279, 4033, 452, 2078, 26833, 13674, 5613, 555, 2768, 279, 2723, 3770, 627, 33092, 71465, 88, 72042, 19209, 42282, 198, 92165, 25, 4427, 315, 1057, 9908, 2997, 22325, 7902, 13, 1442, 499, 3780, 2555, 1555, 832, 315, 1521, 7902, 11, 71465, 88, 72042, 19209, 1253, 7380, 459, 22325, 12396, 13, 15281, 810, 13, 128001, -100, 791, 20005, 54439, 6004, 21487, 1522, 13270, 261, 74400, 75243, 389, 8079, 11, 264, 2305, 8469, 315, 279, 502, 10966, 1060, 627, 644, 1403, 15956, 449, 279, 54439, 11, 75243, 3940, 220, 777, 315, 220, 1591, 3953, 6476, 11, 8558, 220, 22, 13, 20, 57871, 11, 220, 845, 37670, 13280, 323, 3116, 9770, 282, 58199, 13, 3011, 5788, 574, 264, 3117, 16106, 505, 813, 72560, 220, 679, 24, 3280, 11, 304, 902, 568, 2231, 709, 220, 806, 13, 20, 57871, 369, 279, 9853, 12167, 38603, 13, 578, 4846, 2360, 13, 220, 18, 8244, 3820, 304, 279, 220, 679, 20, 10165, 1101, 7543, 5361, 5672, 927, 279, 1566, 1403, 15956, 389, 15902, 21137, 323, 279, 21137, 14, 79063, 12, 777, 1160, 627, 2127, 24279, 505, 264, 3766, 54439, 17942, 11, 75243, 690, 1457, 617, 279, 6776, 311, 3820, 813, 1828, 3813, 1603, 279, 18197, 70, 988, 1825, 304, 5209, 5364, 1132, 13, 128001, -100, 791, 12072, 430, 574, 8621, 389, 5887, 220, 966, 11, 220, 2366, 17, 374, 24895, 555, 264, 7528, 3786, 430, 8349, 26, 1054, 1951, 17414, 4900, 12656, 432, 1564, 753, 1862, 7319, 311, 220, 5547, 4, 505, 220, 4370, 4, 11453, 578, 12072, 11, 902, 706, 1027, 2160, 60708, 927, 220, 6889, 22, 3115, 11, 682, 29246, 311, 264, 6405, 7230, 568, 13375, 389, 813, 6405, 2199, 389, 5887, 220, 605, 902, 568, 1071, 29280, 660, 449, 8349, 389, 279, 7528, 3786, 627, 16397, 459, 7274, 389, 3297, 220, 2148, 11, 220, 2366, 17, 520, 47317, 6007, 11, 393, 815, 13, 13528, 95051, 735, 581, 78215, 11, 279, 37409, 12667, 315, 279, 3314, 6011, 315, 29958, 612, 47317, 8471, 11922, 430, 11478, 828, 16717, 430, 13621, 9322, 24720, 64, 507, 7113, 64, 690, 3243, 279, 6287, 220, 24, 11, 6355, 449, 264, 220, 1399, 4, 4850, 627, 1951, 17414, 4900, 12656, 432, 1564, 10485, 65, 3384, 279, 8349, 323, 1071, 430, 568, 574, 810, 6223, 88, 311, 11478, 6821, 323, 430, 279, 452, 1669, 1934, 8710, 813, 26283, 37766, 735, 16965, 4458, 574, 8469, 315, 872, 28650, 449, 220, 23, 14697, 4452, 11, 14188, 735, 581, 78215, 6463, 432, 1564, 3984, 2807, 23444, 8336, 627, 47, 815, 13, 735, 581, 78215, 1550, 539, 3041, 4726, 20064, 7174, 389, 279, 2592, 315, 420, 828, 477, 422, 1778, 264, 1934, 574, 2561, 369, 3477, 13, 393, 16960, 435, 62472, 8385, 574, 12153, 311, 5662, 1461, 369, 64784, 627, 791, 7528, 3786, 568, 6222, 15151, 520, 279, 5740, 430, 279, 2592, 315, 279, 2038, 374, 25, 452, 1669, 1934, 5887, 220, 1544, 13, 4452, 11, 393, 16960, 435, 62472, 8385, 1550, 539, 1505, 1778, 264, 1934, 389, 279, 452, 1669, 3997, 477, 12660, 775, 2930, 13, 362, 10134, 2217, 2778, 315, 279, 7528, 3786, 21667, 4528, 8661, 20506, 1618, 430, 1436, 617, 1027, 1511, 311, 1304, 279, 3786, 627, 47, 16960, 435, 62472, 8385, 753, 13865, 311, 5662, 452, 1669, 439, 1664, 439, 38651, 8733, 38651, 8733, 369, 4068, 389, 279, 3802, 4024, 76547, 627, 791, 3802, 304, 279, 3786, 374, 9662, 13382, 323, 8617, 38309, 627, 21365, 8349, 430, 527, 46941, 2930, 1253, 387, 5353, 369, 91222, 304, 279, 3135, 315, 279, 4689, 16374, 1418, 1101, 86644, 75159, 2212, 279, 16374, 627, 21994, 12838, 1115, 6405, 8785, 7984, 647, 311, 12343, 18798, 10649, 5380, 128001, -100, 791, 468, 2791, 27087, 690, 13500, 499, 2680, 311, 13398, 315, 856, 3021, 323, 37805, 4999, 2675, 690, 1101, 636, 2680, 311, 7446, 47218, 68782, 1193, 23700, 369, 31120, 627, 791, 32666, 27087, 25076, 499, 4999, 12, 6182, 311, 330, 15824, 1, 6959, 439, 814, 527, 1903, 13, 330, 11873, 1, 6959, 527, 13726, 29159, 11, 6118, 832, 2199, 11, 430, 527, 8621, 1990, 30732, 13, 25676, 636, 1124, 439, 814, 527, 8220, 4619, 315, 8748, 12222, 279, 842, 315, 30732, 627, 791, 27156, 2785, 14, 5519, 20659, 27087, 25076, 499, 4999, 12, 2566, 389, 289, 575, 7224, 1778, 439, 3682, 45543, 323, 2835, 7224, 4999, 791, 27156, 15302, 4748, 27087, 25076, 499, 4999, 12, 2675, 3077, 1027, 61246, 389, 856, 3021, 323, 37805, 13, 503, 86626, 84, 543, 4999, 791, 480, 8548, 885, 844, 27087, 25076, 499, 4999, 791, 662, 662, 662, 358, 2216, 15890, 49996, 9522, 33327, 220, 16, 267, 15785, 279, 4033, 8736, 315, 279, 40989, 82, 19017, 5247, 3804, 11853, 16241, 277, 2199, 4999, 3915, 6186, 220, 16, 267, 79287, 1070, 690, 387, 14079, 7446, 68782, 23700, 369, 279, 468, 2791, 27087, 13, 1472, 649, 2680, 682, 315, 1521, 68782, 369, 1120, 220, 16, 3, 264, 2305, 0, 1789, 279, 892, 1694, 11, 1070, 374, 912, 1972, 364, 9224, 6, 369, 7446, 68782, 719, 1070, 690, 387, 23925, 304, 279, 3938, 627, 4061, 704, 279, 1023, 64271, 323, 4822, 33519, 369, 810, 14079, 2262, 311, 2586, 4999, 3, 1135, 264, 2305, 27074, 549, 4195, 643, 398, 74154, 0, 358, 690, 1304, 264, 2875, 2835, 94121, 1855, 323, 1475, 7834, 4999, 3, 1041, 264, 2305, 34115, 70900, 666, 1900, 1120, 653, 3087, 35, 315, 0, 358, 690, 1304, 2500, 2835, 94121, 1855, 323, 1475, 36380, 323, 690, 6106, 430, 520, 8187, 11, 220, 17, 2835, 2447, 690, 387, 1903, 824, 1060, 627, 3, 2636, 27074, 27074, 27074, 27074, 27074, 27074, 27074, 1472, 617, 12890, 835, 311, 387, 735, 26507, 1753, 757, 0, 3861, 810, 9901, 499, 2835, 719, 420, 892, 1855, 323, 1475, 36380, 690, 387, 15109, 1234, 872, 27087, 15609, 555, 264, 5016, 88808, 273, 315, 872, 19301, 4999, 3, 1041, 15, 17523, 12340, 7801, 27074, 27074, 27074, 27074, 27074, 27074, 27074, 27074, 1472, 7752, 2216, 1781, 358, 617, 420, 1790, 350, 6093, 306, 34115, 12340, 1115, 5915, 1253, 387, 32828, 520, 264, 3010, 2457, 719, 11, 369, 1457, 11, 420, 27087, 690, 2187, 757, 311, 1304, 264, 2466, 3351, 311, 856, 8063, 6710, 315, 33489, 3424, 13, 2684, 527, 1023, 8336, 315, 8070, 2133, 1139, 856, 3351, 3887, 779, 422, 358, 3077, 2736, 1903, 420, 3351, 11, 420, 5915, 690, 2349, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 3923, 8886, 1357, 65050, 94137, 3695, 5380, 1090, 65050, 79383, 527, 3060, 832, 33001, 44304, 477, 63900, 63000, 430, 3974, 304, 279, 3823, 39408, 1572, 320, 9181, 477, 3544, 8, 323, 1005, 279, 64172, 477, 6680, 505, 63900, 7147, 439, 264, 2592, 315, 279, 3691, 627, 16, 13, 3861, 12, 3683, 94137, 3695, 1389, 58777, 13028, 64, 198, 4054, 2849, 44304, 1093, 15754, 569, 689, 32703, 2067, 689, 11, 1101, 2663, 15754, 569, 689, 3930, 55836, 1604, 11, 14774, 437, 4406, 307, 2411, 323, 44448, 385, 2203, 6347, 29166, 37493, 505, 279, 64172, 13, 2435, 1253, 5353, 37140, 315, 279, 2678, 92234, 11, 18189, 1202, 44225, 8824, 13, 4968, 21781, 71853, 305, 599, 5849, 83055, 47904, 6439, 304, 279, 15235, 627, 17, 13, 1357, 65050, 74130, 82, 320, 33813, 1083, 17323, 340, 1090, 65050, 63000, 320, 50222, 1083, 17323, 8, 527, 4279, 5353, 315, 69393, 11, 14545, 1113, 323, 8811, 83664, 13, 2435, 1253, 5353, 15748, 19405, 320, 13885, 65078, 705, 47904, 304, 2911, 304, 5789, 449, 4106, 92399, 11, 3958, 53056, 323, 8009, 72217, 34545, 25, 304, 19624, 5596, 315, 10384, 11, 12877, 6460, 11, 4987, 13936, 11, 24922, 11, 323, 10913, 323, 4987, 5270, 13, 763, 4606, 323, 4892, 5270, 11, 4225, 478, 811, 527, 810, 62016, 37314, 627, 33300, 315, 74130, 763, 13421, 198, 36, 70, 5981, 11, 25351, 304, 279, 64172, 315, 3823, 477, 10099, 29374, 449, 6822, 63000, 11, 687, 309, 3357, 17614, 477, 3090, 13, 9843, 4994, 279, 2547, 11, 19335, 1205, 3892, 2919, 477, 5672, 311, 2274, 1139, 279, 34527, 535, 6566, 1389, 63581, 82, 477, 86525, 63000, 320, 14115, 71342, 8, 430, 1253, 387, 6892, 10185, 994, 12459, 449, 17614, 35172, 8778, 660, 6206, 477, 449, 7257, 15375, 13883, 24822, 13, 32404, 71342, 1253, 1101, 64855, 264, 1732, 753, 6930, 2391, 24269, 477, 11689, 12743, 5447, 13, 3277, 814, 5662, 279, 2678, 477, 3544, 92234, 814, 3139, 1139, 6822, 63000, 13, 13596, 2592, 315, 63900, 63000, 374, 1234, 99797, 29374, 13339, 315, 13018, 24623, 11, 80744, 7795, 477, 8545, 10099, 320, 68760, 11, 41926, 20962, 5099, 570, 3861, 649, 1101, 387, 29374, 505, 6892, 60955, 5679, 753, 13259, 300, 430, 617, 6892, 10185, 33403, 49086, 19335, 13, 15394, 1253, 5226, 19405, 505, 9462, 22995, 52673, 449, 6896, 753, 64172, 627, 1858, 2508, 315, 1357, 65050, 74130, 82, 198, 53130, 63000, 320, 1527, 220, 16, 2606, 26402, 311, 3892, 20645, 1317, 8, 75272, 279, 66358, 7147, 323, 19419, 279, 6680, 505, 433, 477, 3974, 26662, 304, 279, 92234, 323, 29166, 37493, 505, 279, 66358, 2262, 13, 578, 1121, 527, 2678, 63900, 477, 1400, 14338, 37140, 323, 8725, 17254, 11, 459, 22689, 11, 13128, 11, 11245, 323, 28170, 320, 3902, 398, 362, 11, 356, 11, 426, 717, 8, 48294, 13, 1357, 65050, 61051, 1253, 12446, 304, 15748, 5157, 13, 32404, 71342, 1253, 45666, 311, 1023, 36853, 320, 75, 1553, 11, 87450, 268, 11, 62564, 11, 24569, 11, 45274, 11, 8271, 8, 1405, 814, 1376, 63581, 82, 323, 8346, 57596, 37140, 627, 54, 494, 82, 7874, 398, 14751, 985, 7923, 1138, 41033, 304, 11344, 512, 66106, 3544, 4883, 56741, 320, 2170, 7063, 285, 41263, 1347, 292, 590, 288, 8, 374, 922, 220, 966, 10166, 1317, 323, 1766, 15603, 198, 11529, 1982, 56741, 82, 320, 45, 762, 859, 39542, 355, 11, 362, 21397, 55437, 7942, 3930, 55836, 1604, 8, 527, 922, 220, 16, 10166, 1317, 26, 814, 19419, 6680, 505, 279, 63900, 7147, 198, 12, 1671, 575, 56741, 320, 1305, 718, 324, 285, 490, 41652, 5808, 340, 12, 6998, 56741, 82, 320, 48686, 88, 385, 3422, 357, 3035, 10020, 285, 340, 6354, 331, 380, 437, 7942, 50334, 21446, 13, 77417, 1306, 30215, 1139, 1023, 36853, 1253, 2997, 74117, 26587, 323, 87450, 268, 11, 12203, 1263, 560, 11, 57056, 55307, 320, 5171, 3695, 705, 72735, 35763, 11, 40700, 287, 6680, 11, 52192, 264, 8696, 323, 55998, 627, 7424, 819, 320, 65, 8714, 8, 15596, 365, 494, 320, 35, 15619, 4010, 385, 21704, 41552, 6987, 372, 8, 374, 51068, 555, 29374, 80744, 7795, 11, 1253, 12771, 220, 605, 296, 11, 433, 8111, 304, 4606, 11, 8524, 323, 2326, 627, 12, 3513, 830, 15596, 365, 494, 320, 57099, 59386, 30811, 258, 460, 8, 323, 36167, 15596, 365, 494, 320, 57099, 59386, 2092, 2411, 8, 527, 51068, 555, 1234, 99797, 25309, 477, 36167, 304, 19624, 5789, 11, 15603, 26, 6822, 63000, 1253, 387, 927, 220, 508, 296, 1317, 198, 4438, 656, 499, 636, 94137, 3695, 5380, 4368, 300, 3695, 527, 1766, 304, 3823, 477, 10065, 82320, 11, 52673, 3691, 477, 16558, 3090, 11, 37100, 3090, 320, 75, 2094, 11, 34239, 705, 1057, 26159, 198, 13857, 220, 679, 16, 3383, 819, 35, 365, 494, 261, 916, 198, 38275, 291, 555, 1690, 311, 387, 279, 1888, 85573, 81155, 2561, 4999, 29815, 389, 473, 360, 3315, 22010, 596, 94137, 635, 9785, 325, 26371, 627, 1687, 617, 2225, 220, 23, 54808, 323, 220, 845, 54808, 27474, 627, 17940, 433, 369, 439, 3428, 439, 400, 508, 824, 16893, 449, 1057, 2294, 12472, 32162, 4999, 65123, 19804, 4716, 198, 47798, 31871, 2794, 5257, 198, 4438, 656, 499, 1440, 422, 499, 617, 94137, 3695, 5380, 5519, 499, 1866, 26159, 5380, 44587, 1027, 94035, 555, 459, 10065, 5380, 12389, 499, 3596, 1027, 78549, 555, 23518, 447, 26675, 5380, 12389, 499, 3596, 54244, 3090, 505, 264, 4365, 477, 15140, 5380, 11787, 499, 14545, 660, 477, 617, 6962, 1306, 21644, 5380, 11787, 499, 2744, 30056, 5380, 5519, 499, 617, 51266, 304, 279, 64772, 5380, 5519, 499, 81413, 13465, 323, 5255, 76657, 5380, 5519, 499, 8343, 10283, 315, 16385, 5380, 44587, 35661, 328, 38174, 5380, 44587, 35661, 520, 264, 33566, 3703, 5380, 5953, 5717, 992, 11, 8791, 261, 483, 477, 2531, 1589, 14989, 5380, 44587, 10534, 3260, 86075, 5380, 12389, 499, 1047, 21420, 41580, 30020, 5380, 5519, 499, 617, 18098, 355, 5435, 5380, 5519, 499, 617, 25538, 49686, 477, 69393, 5380, 44587, 2064, 309, 304, 279, 18435, 477, 22553, 5380, 44587, 1047, 94137, 3695, 1603, 5380, 1163, 3095, 527, 499, 617, 79383, 4999, 94607, 1501, 430, 279, 5578, 3778, 374, 15691, 2212, 13489, 220, 17, 16701, 315, 79383, 4999, 2181, 596, 19029, 264, 3488, 315, 9503, 15334, 19102, 27173, 1950, 49596, 5380, 2181, 596, 10213, 24440, 48818, 16202, 63593, 362, 26105, 1753, 15334, 5380, 12388, 1057, 2816, 128001, 128000, 40, 65, 27963, 814, 1436, 3139, 872, 7013, 1203, 737, 291, 10574, 398, 13, 9086, 289, 8080, 483, 358, 8101, 13, 358, 2733, 1093, 814, 1436, 2585, 311, 264, 8547, 1268, 5043, 323, 4762, 3009, 433, 31155, 13, 358, 15890, 1781, 814, 1436, 3139, 51009, 11, 3582, 433, 596, 264, 2766, 4582, 430, 682, 279, 6541, 388, 527, 7060, 439, 15123, 13, 4815, 40, 1053, 1781, 814, 1205, 810, 6212, 11911, 389, 279, 86612, 814, 617, 13, 51775, 2117, 374, 264, 1633, 8987, 83647, 719, 7344, 539, 779, 1790, 449, 4447, 377, 382, 40, 15890, 1781, 814, 1436, 636, 14363, 4286, 1453, 5128, 2771, 23975, 59520, 574, 40700, 287, 704, 6680, 1603, 568, 8636, 13, 358, 1781, 77, 20670, 636, 43383, 323, 1243, 2815, 13, 358, 15890, 1781, 1202, 11210, 128001, 128000, 23923, 34, 1369, 288, 220, 1958, 4, 16110, 763, 1054, 10903, 12, 3112, 7424, 82043, 863, 47124, 198, 791, 74255, 706, 18205, 839, 1203, 1202, 20733, 1054, 9684, 9976, 51478, 3267, 863, 4947, 2391, 279, 10683, 4038, 11, 6821, 74982, 380, 627, 6153, 19261, 264, 3335, 1579, 315, 220, 9639, 11, 2636, 5157, 304, 279, 1176, 8502, 315, 220, 679, 17, 11, 279, 1396, 706, 12504, 311, 220, 9423, 11, 24347, 5157, 369, 279, 2132, 8502, 13, 1174, 863, 12551, 14950, 18362, 10783, 47863, 22213, 81295, 11, 1071, 304, 264, 5224, 627, 11439, 311, 264, 2592, 11, 279, 18979, 374, 264, 2167, 1121, 315, 279, 586, 30229, 14932, 279, 4947, 11, 902, 1690, 2733, 76725, 11811, 5348, 323, 44862, 3026, 627, 86674, 8096, 37653, 11, 323, 10289, 30454, 43670, 19178, 617, 2225, 14980, 4920, 1054, 9684, 9976, 51478, 3267, 863, 8260, 369, 279, 3363, 311, 2231, 810, 25679, 389, 6166, 9349, 13, 37653, 323, 19178, 753, 6325, 1051, 11153, 10234, 555, 87766, 26035, 11, 6832, 220, 868, 4771, 6418, 4538, 11, 362, 441, 278, 11, 574, 6689, 323, 7577, 1418, 11689, 1523, 279, 8761, 304, 26832, 13, 1054, 5159, 4538, 374, 8208, 1606, 315, 459, 12079, 6166, 389, 279, 8761, 2476, 1364, 3309, 279, 1561, 4356, 3962, 13, 1054, 2746, 814, 1047, 1448, 3267, 291, 279, 1732, 889, 7577, 856, 4538, 11, 433, 1053, 617, 1027, 832, 2753, 6166, 389, 279, 14708, 13, 358, 4344, 369, 433, 49216, 2173, 279, 810, 1109, 220, 5894, 11, 931, 1274, 10717, 11, 220, 4370, 3346, 1051, 5348, 11, 220, 843, 3346, 1051, 41985, 220, 605, 3346, 1051, 5929, 11, 323, 220, 18, 3346, 1051, 14875, 13, 10289, 31589, 264, 2860, 315, 220, 16, 11, 24619, 10094, 18976, 10314, 198, 128001, 128000, 46078, 2683, 10658, 0, 551, 43296, 25, 1102, 753, 8659, 29565, 10658, 4827, 323, 4827, 719, 499, 617, 311, 656, 433, 520, 1063, 1486, 779, 1695, 2683, 11, 499, 3207, 3815, 12738, 4999, 4516, 358, 617, 279, 36986, 5763, 220, 20, 11, 358, 2751, 433, 389, 39516, 11, 433, 706, 220, 20, 16087, 369, 3691, 13, 3277, 499, 1825, 433, 709, 11, 499, 2068, 433, 449, 279, 1510, 892, 323, 1243, 499, 2068, 9522, 30, 220, 17, 14, 1313, 482, 3331, 4860, 389, 282, 4939, 20335, 4999, 2409, 84527, 11, 813, 48419, 2531, 98666, 19682, 574, 5128, 3958, 520, 23842, 719, 3131, 584, 2751, 1461, 389, 32152, 323, 5614, 813, 10173, 11, 433, 6724, 3201, 13, 1666, 369, 9522, 2520, 43402, 11, 358, 2231, 264, 62611, 477, 779, 315, 31971, 3691, 1139, 3116, 16087, 304, 279, 3313, 58107, 520, 489, 17, 11, 489, 19, 11, 489, 21, 11, 489, 24, 520, 279, 1938, 892, 11008, 323, 1890, 3245, 369, 279, 9522, 12947, 17816, 0, 1102, 3952, 603, 264, 1418, 311, 636, 1618, 369, 2771, 4999, 128001, 128000, 3915, 1795, 1129, 2185, 4795, 64, 2726, 28455, 14, 1911, 59287, 14, 679, 15, 14, 717, 14, 17947, 19158, 15872, 25688, 1174, 22797, 311, 279, 1890, 4007, 320, 8370, 11, 50790, 505, 264, 4062, 2778, 11, 3250, 956, 2873, 311, 387, 2930, 5196, 3686, 8, 14852, 15721, 26, 362, 4376, 21925, 1306, 25270, 279, 21662, 11, 13324, 3952, 264, 6500, 1534, 1054, 3427, 34200, 20521, 863, 1296, 304, 902, 814, 1047, 311, 6013, 6288, 311, 11811, 389, 264, 4264, 13, 2435, 1051, 42075, 311, 4295, 279, 4741, 37726, 1401, 994, 264, 6307, 2218, 9922, 323, 656, 4400, 994, 264, 6437, 2218, 9922, 382, 22105, 71462, 1113, 505, 264, 3254, 18767, 30090, 264, 4856, 3230, 25702, 734, 311, 330, 9514, 1212, 311, 636, 18754, 1, 374, 264, 2766, 315, 264, 14841, 30, 4815, 40, 4265, 64601, 430, 1023, 25702, 5865, 1253, 617, 1023, 320, 90447, 8, 47040, 10437, 19300, 382, 7, 50674, 11, 358, 649, 956, 1304, 704, 505, 1521, 70022, 3508, 279, 15223, 1047, 264, 49750, 25065, 11, 323, 3508, 279, 220, 1490, 12591, 1912, 16632, 10887, 11201, 1109, 279, 220, 1272, 12591, 1912, 477, 11201, 1109, 279, 43715, 1912, 13, 763, 279, 1176, 1162, 11, 264, 810, 13687, 12399, 1053, 387, 330, 10924, 430, 11, 279, 16048, 304, 279, 733, 34200, 20521, 1296, 374, 11293, 3343, 8, 128001 ]
[ -100, 3923, 8886, 1357, 65050, 94137, 3695, 5380, 1090, 65050, 79383, 527, 3060, 832, 33001, 44304, 477, 63900, 63000, 430, 3974, 304, 279, 3823, 39408, 1572, 320, 9181, 477, 3544, 8, 323, 1005, 279, 64172, 477, 6680, 505, 63900, 7147, 439, 264, 2592, 315, 279, 3691, 627, 16, 13, 3861, 12, 3683, 94137, 3695, 1389, 58777, 13028, 64, 198, 4054, 2849, 44304, 1093, 15754, 569, 689, 32703, 2067, 689, 11, 1101, 2663, 15754, 569, 689, 3930, 55836, 1604, 11, 14774, 437, 4406, 307, 2411, 323, 44448, 385, 2203, 6347, 29166, 37493, 505, 279, 64172, 13, 2435, 1253, 5353, 37140, 315, 279, 2678, 92234, 11, 18189, 1202, 44225, 8824, 13, 4968, 21781, 71853, 305, 599, 5849, 83055, 47904, 6439, 304, 279, 15235, 627, 17, 13, 1357, 65050, 74130, 82, 320, 33813, 1083, 17323, 340, 1090, 65050, 63000, 320, 50222, 1083, 17323, 8, 527, 4279, 5353, 315, 69393, 11, 14545, 1113, 323, 8811, 83664, 13, 2435, 1253, 5353, 15748, 19405, 320, 13885, 65078, 705, 47904, 304, 2911, 304, 5789, 449, 4106, 92399, 11, 3958, 53056, 323, 8009, 72217, 34545, 25, 304, 19624, 5596, 315, 10384, 11, 12877, 6460, 11, 4987, 13936, 11, 24922, 11, 323, 10913, 323, 4987, 5270, 13, 763, 4606, 323, 4892, 5270, 11, 4225, 478, 811, 527, 810, 62016, 37314, 627, 33300, 315, 74130, 763, 13421, 198, 36, 70, 5981, 11, 25351, 304, 279, 64172, 315, 3823, 477, 10099, 29374, 449, 6822, 63000, 11, 687, 309, 3357, 17614, 477, 3090, 13, 9843, 4994, 279, 2547, 11, 19335, 1205, 3892, 2919, 477, 5672, 311, 2274, 1139, 279, 34527, 535, 6566, 1389, 63581, 82, 477, 86525, 63000, 320, 14115, 71342, 8, 430, 1253, 387, 6892, 10185, 994, 12459, 449, 17614, 35172, 8778, 660, 6206, 477, 449, 7257, 15375, 13883, 24822, 13, 32404, 71342, 1253, 1101, 64855, 264, 1732, 753, 6930, 2391, 24269, 477, 11689, 12743, 5447, 13, 3277, 814, 5662, 279, 2678, 477, 3544, 92234, 814, 3139, 1139, 6822, 63000, 13, 13596, 2592, 315, 63900, 63000, 374, 1234, 99797, 29374, 13339, 315, 13018, 24623, 11, 80744, 7795, 477, 8545, 10099, 320, 68760, 11, 41926, 20962, 5099, 570, 3861, 649, 1101, 387, 29374, 505, 6892, 60955, 5679, 753, 13259, 300, 430, 617, 6892, 10185, 33403, 49086, 19335, 13, 15394, 1253, 5226, 19405, 505, 9462, 22995, 52673, 449, 6896, 753, 64172, 627, 1858, 2508, 315, 1357, 65050, 74130, 82, 198, 53130, 63000, 320, 1527, 220, 16, 2606, 26402, 311, 3892, 20645, 1317, 8, 75272, 279, 66358, 7147, 323, 19419, 279, 6680, 505, 433, 477, 3974, 26662, 304, 279, 92234, 323, 29166, 37493, 505, 279, 66358, 2262, 13, 578, 1121, 527, 2678, 63900, 477, 1400, 14338, 37140, 323, 8725, 17254, 11, 459, 22689, 11, 13128, 11, 11245, 323, 28170, 320, 3902, 398, 362, 11, 356, 11, 426, 717, 8, 48294, 13, 1357, 65050, 61051, 1253, 12446, 304, 15748, 5157, 13, 32404, 71342, 1253, 45666, 311, 1023, 36853, 320, 75, 1553, 11, 87450, 268, 11, 62564, 11, 24569, 11, 45274, 11, 8271, 8, 1405, 814, 1376, 63581, 82, 323, 8346, 57596, 37140, 627, 54, 494, 82, 7874, 398, 14751, 985, 7923, 1138, 41033, 304, 11344, 512, 66106, 3544, 4883, 56741, 320, 2170, 7063, 285, 41263, 1347, 292, 590, 288, 8, 374, 922, 220, 966, 10166, 1317, 323, 1766, 15603, 198, 11529, 1982, 56741, 82, 320, 45, 762, 859, 39542, 355, 11, 362, 21397, 55437, 7942, 3930, 55836, 1604, 8, 527, 922, 220, 16, 10166, 1317, 26, 814, 19419, 6680, 505, 279, 63900, 7147, 198, 12, 1671, 575, 56741, 320, 1305, 718, 324, 285, 490, 41652, 5808, 340, 12, 6998, 56741, 82, 320, 48686, 88, 385, 3422, 357, 3035, 10020, 285, 340, 6354, 331, 380, 437, 7942, 50334, 21446, 13, 77417, 1306, 30215, 1139, 1023, 36853, 1253, 2997, 74117, 26587, 323, 87450, 268, 11, 12203, 1263, 560, 11, 57056, 55307, 320, 5171, 3695, 705, 72735, 35763, 11, 40700, 287, 6680, 11, 52192, 264, 8696, 323, 55998, 627, 7424, 819, 320, 65, 8714, 8, 15596, 365, 494, 320, 35, 15619, 4010, 385, 21704, 41552, 6987, 372, 8, 374, 51068, 555, 29374, 80744, 7795, 11, 1253, 12771, 220, 605, 296, 11, 433, 8111, 304, 4606, 11, 8524, 323, 2326, 627, 12, 3513, 830, 15596, 365, 494, 320, 57099, 59386, 30811, 258, 460, 8, 323, 36167, 15596, 365, 494, 320, 57099, 59386, 2092, 2411, 8, 527, 51068, 555, 1234, 99797, 25309, 477, 36167, 304, 19624, 5789, 11, 15603, 26, 6822, 63000, 1253, 387, 927, 220, 508, 296, 1317, 198, 4438, 656, 499, 636, 94137, 3695, 5380, 4368, 300, 3695, 527, 1766, 304, 3823, 477, 10065, 82320, 11, 52673, 3691, 477, 16558, 3090, 11, 37100, 3090, 320, 75, 2094, 11, 34239, 705, 1057, 26159, 198, 13857, 220, 679, 16, 3383, 819, 35, 365, 494, 261, 916, 198, 38275, 291, 555, 1690, 311, 387, 279, 1888, 85573, 81155, 2561, 4999, 29815, 389, 473, 360, 3315, 22010, 596, 94137, 635, 9785, 325, 26371, 627, 1687, 617, 2225, 220, 23, 54808, 323, 220, 845, 54808, 27474, 627, 17940, 433, 369, 439, 3428, 439, 400, 508, 824, 16893, 449, 1057, 2294, 12472, 32162, 4999, 65123, 19804, 4716, 198, 47798, 31871, 2794, 5257, 198, 4438, 656, 499, 1440, 422, 499, 617, 94137, 3695, 5380, 5519, 499, 1866, 26159, 5380, 44587, 1027, 94035, 555, 459, 10065, 5380, 12389, 499, 3596, 1027, 78549, 555, 23518, 447, 26675, 5380, 12389, 499, 3596, 54244, 3090, 505, 264, 4365, 477, 15140, 5380, 11787, 499, 14545, 660, 477, 617, 6962, 1306, 21644, 5380, 11787, 499, 2744, 30056, 5380, 5519, 499, 617, 51266, 304, 279, 64772, 5380, 5519, 499, 81413, 13465, 323, 5255, 76657, 5380, 5519, 499, 8343, 10283, 315, 16385, 5380, 44587, 35661, 328, 38174, 5380, 44587, 35661, 520, 264, 33566, 3703, 5380, 5953, 5717, 992, 11, 8791, 261, 483, 477, 2531, 1589, 14989, 5380, 44587, 10534, 3260, 86075, 5380, 12389, 499, 1047, 21420, 41580, 30020, 5380, 5519, 499, 617, 18098, 355, 5435, 5380, 5519, 499, 617, 25538, 49686, 477, 69393, 5380, 44587, 2064, 309, 304, 279, 18435, 477, 22553, 5380, 44587, 1047, 94137, 3695, 1603, 5380, 1163, 3095, 527, 499, 617, 79383, 4999, 94607, 1501, 430, 279, 5578, 3778, 374, 15691, 2212, 13489, 220, 17, 16701, 315, 79383, 4999, 2181, 596, 19029, 264, 3488, 315, 9503, 15334, 19102, 27173, 1950, 49596, 5380, 2181, 596, 10213, 24440, 48818, 16202, 63593, 362, 26105, 1753, 15334, 5380, 12388, 1057, 2816, 128001, -100, 40, 65, 27963, 814, 1436, 3139, 872, 7013, 1203, 737, 291, 10574, 398, 13, 9086, 289, 8080, 483, 358, 8101, 13, 358, 2733, 1093, 814, 1436, 2585, 311, 264, 8547, 1268, 5043, 323, 4762, 3009, 433, 31155, 13, 358, 15890, 1781, 814, 1436, 3139, 51009, 11, 3582, 433, 596, 264, 2766, 4582, 430, 682, 279, 6541, 388, 527, 7060, 439, 15123, 13, 4815, 40, 1053, 1781, 814, 1205, 810, 6212, 11911, 389, 279, 86612, 814, 617, 13, 51775, 2117, 374, 264, 1633, 8987, 83647, 719, 7344, 539, 779, 1790, 449, 4447, 377, 382, 40, 15890, 1781, 814, 1436, 636, 14363, 4286, 1453, 5128, 2771, 23975, 59520, 574, 40700, 287, 704, 6680, 1603, 568, 8636, 13, 358, 1781, 77, 20670, 636, 43383, 323, 1243, 2815, 13, 358, 15890, 1781, 1202, 11210, 128001, -100, 23923, 34, 1369, 288, 220, 1958, 4, 16110, 763, 1054, 10903, 12, 3112, 7424, 82043, 863, 47124, 198, 791, 74255, 706, 18205, 839, 1203, 1202, 20733, 1054, 9684, 9976, 51478, 3267, 863, 4947, 2391, 279, 10683, 4038, 11, 6821, 74982, 380, 627, 6153, 19261, 264, 3335, 1579, 315, 220, 9639, 11, 2636, 5157, 304, 279, 1176, 8502, 315, 220, 679, 17, 11, 279, 1396, 706, 12504, 311, 220, 9423, 11, 24347, 5157, 369, 279, 2132, 8502, 13, 1174, 863, 12551, 14950, 18362, 10783, 47863, 22213, 81295, 11, 1071, 304, 264, 5224, 627, 11439, 311, 264, 2592, 11, 279, 18979, 374, 264, 2167, 1121, 315, 279, 586, 30229, 14932, 279, 4947, 11, 902, 1690, 2733, 76725, 11811, 5348, 323, 44862, 3026, 627, 86674, 8096, 37653, 11, 323, 10289, 30454, 43670, 19178, 617, 2225, 14980, 4920, 1054, 9684, 9976, 51478, 3267, 863, 8260, 369, 279, 3363, 311, 2231, 810, 25679, 389, 6166, 9349, 13, 37653, 323, 19178, 753, 6325, 1051, 11153, 10234, 555, 87766, 26035, 11, 6832, 220, 868, 4771, 6418, 4538, 11, 362, 441, 278, 11, 574, 6689, 323, 7577, 1418, 11689, 1523, 279, 8761, 304, 26832, 13, 1054, 5159, 4538, 374, 8208, 1606, 315, 459, 12079, 6166, 389, 279, 8761, 2476, 1364, 3309, 279, 1561, 4356, 3962, 13, 1054, 2746, 814, 1047, 1448, 3267, 291, 279, 1732, 889, 7577, 856, 4538, 11, 433, 1053, 617, 1027, 832, 2753, 6166, 389, 279, 14708, 13, 358, 4344, 369, 433, 49216, 2173, 279, 810, 1109, 220, 5894, 11, 931, 1274, 10717, 11, 220, 4370, 3346, 1051, 5348, 11, 220, 843, 3346, 1051, 41985, 220, 605, 3346, 1051, 5929, 11, 323, 220, 18, 3346, 1051, 14875, 13, 10289, 31589, 264, 2860, 315, 220, 16, 11, 24619, 10094, 18976, 10314, 198, 128001, -100, 46078, 2683, 10658, 0, 551, 43296, 25, 1102, 753, 8659, 29565, 10658, 4827, 323, 4827, 719, 499, 617, 311, 656, 433, 520, 1063, 1486, 779, 1695, 2683, 11, 499, 3207, 3815, 12738, 4999, 4516, 358, 617, 279, 36986, 5763, 220, 20, 11, 358, 2751, 433, 389, 39516, 11, 433, 706, 220, 20, 16087, 369, 3691, 13, 3277, 499, 1825, 433, 709, 11, 499, 2068, 433, 449, 279, 1510, 892, 323, 1243, 499, 2068, 9522, 30, 220, 17, 14, 1313, 482, 3331, 4860, 389, 282, 4939, 20335, 4999, 2409, 84527, 11, 813, 48419, 2531, 98666, 19682, 574, 5128, 3958, 520, 23842, 719, 3131, 584, 2751, 1461, 389, 32152, 323, 5614, 813, 10173, 11, 433, 6724, 3201, 13, 1666, 369, 9522, 2520, 43402, 11, 358, 2231, 264, 62611, 477, 779, 315, 31971, 3691, 1139, 3116, 16087, 304, 279, 3313, 58107, 520, 489, 17, 11, 489, 19, 11, 489, 21, 11, 489, 24, 520, 279, 1938, 892, 11008, 323, 1890, 3245, 369, 279, 9522, 12947, 17816, 0, 1102, 3952, 603, 264, 1418, 311, 636, 1618, 369, 2771, 4999, 128001, -100, 3915, 1795, 1129, 2185, 4795, 64, 2726, 28455, 14, 1911, 59287, 14, 679, 15, 14, 717, 14, 17947, 19158, 15872, 25688, 1174, 22797, 311, 279, 1890, 4007, 320, 8370, 11, 50790, 505, 264, 4062, 2778, 11, 3250, 956, 2873, 311, 387, 2930, 5196, 3686, 8, 14852, 15721, 26, 362, 4376, 21925, 1306, 25270, 279, 21662, 11, 13324, 3952, 264, 6500, 1534, 1054, 3427, 34200, 20521, 863, 1296, 304, 902, 814, 1047, 311, 6013, 6288, 311, 11811, 389, 264, 4264, 13, 2435, 1051, 42075, 311, 4295, 279, 4741, 37726, 1401, 994, 264, 6307, 2218, 9922, 323, 656, 4400, 994, 264, 6437, 2218, 9922, 382, 22105, 71462, 1113, 505, 264, 3254, 18767, 30090, 264, 4856, 3230, 25702, 734, 311, 330, 9514, 1212, 311, 636, 18754, 1, 374, 264, 2766, 315, 264, 14841, 30, 4815, 40, 4265, 64601, 430, 1023, 25702, 5865, 1253, 617, 1023, 320, 90447, 8, 47040, 10437, 19300, 382, 7, 50674, 11, 358, 649, 956, 1304, 704, 505, 1521, 70022, 3508, 279, 15223, 1047, 264, 49750, 25065, 11, 323, 3508, 279, 220, 1490, 12591, 1912, 16632, 10887, 11201, 1109, 279, 220, 1272, 12591, 1912, 477, 11201, 1109, 279, 43715, 1912, 13, 763, 279, 1176, 1162, 11, 264, 810, 13687, 12399, 1053, 387, 330, 10924, 430, 11, 279, 16048, 304, 279, 733, 34200, 20521, 1296, 374, 11293, 3343, 8, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219 ]
[ 128000, 50, 875, 921, 5908, 25, 220, 22, 7874, 12799, 2136, 288, 1472, 3297, 92957, 198, 18398, 553, 323, 39168, 12799, 2136, 304, 921, 5908, 198, 25729, 22106, 1555, 264, 44355, 727, 11, 12096, 8945, 69089, 505, 279, 8961, 3637, 11, 477, 305, 33024, 701, 1866, 11, 1070, 527, 8254, 4279, 49909, 505, 902, 814, 2643, 7831, 13, 1472, 1288, 387, 8010, 315, 1521, 19338, 779, 430, 499, 649, 15641, 1124, 6288, 13, 1789, 1063, 11, 4062, 6514, 649, 3665, 701, 14363, 69089, 13, 7648, 315, 1521, 527, 1101, 5471, 481, 11, 422, 499, 1833, 1695, 12659, 994, 30598, 369, 701, 8945, 69089, 627, 2170, 716, 61887, 2353, 285, 320, 27368, 4414, 393, 126261, 21947, 8, 1389, 1666, 716, 61887, 2353, 285, 374, 9057, 555, 264, 79902, 13, 578, 993, 4692, 9041, 304, 8369, 11, 21147, 11, 19108, 22484, 1778, 439, 264, 19108, 49727, 859, 477, 2967, 4414, 13, 1666, 716, 61887, 2353, 285, 374, 539, 9041, 1990, 20229, 11, 1193, 57340, 13, 921, 5908, 527, 5423, 20134, 1606, 279, 502, 272, 25045, 304, 872, 28691, 7784, 1431, 15196, 67, 3403, 311, 3351, 279, 79902, 993, 4692, 709, 323, 704, 13, 77417, 2997, 1825, 92139, 291, 27027, 323, 6962, 10194, 369, 3805, 4315, 1023, 42631, 13803, 1778, 439, 72188, 32643, 13, 2435, 1253, 1101, 617, 23418, 1887, 13803, 1778, 439, 18659, 1105, 11, 38550, 311, 8335, 11, 323, 2010, 80654, 13, 77417, 1253, 1427, 4528, 311, 64898, 74, 753, 8624, 323, 374, 11383, 29704, 555, 90090, 16865, 315, 279, 79902, 4529, 505, 279, 5419, 42631, 1887, 13, 578, 1888, 27344, 374, 311, 2567, 4395, 4335, 323, 4148, 14739, 39682, 13, 2684, 527, 22972, 994, 69089, 3719, 5986, 1778, 439, 452, 599, 15111, 323, 3383, 52399, 11893, 258, 426, 11, 719, 814, 527, 11646, 13, 578, 993, 4692, 649, 34527, 12966, 11, 439, 1664, 627, 34, 14310, 307, 91260, 1389, 356, 14310, 307, 91260, 374, 9057, 555, 459, 63900, 85573, 13, 9393, 20229, 1069, 377, 520, 4395, 11, 814, 656, 1101, 1069, 377, 520, 76916, 13, 3296, 3815, 779, 11, 814, 89372, 96009, 19335, 11, 902, 44355, 323, 1243, 7951, 654, 1139, 279, 31863, 753, 63900, 7147, 13, 1115, 11384, 1063, 35763, 11, 32971, 555, 19087, 311, 2579, 1933, 304, 872, 76916, 902, 1253, 1101, 387, 13091, 27520, 323, 6782, 65104, 788, 13, 578, 69089, 1253, 3719, 50682, 11, 7118, 1289, 11, 323, 8343, 2753, 13, 6104, 701, 16553, 1253, 18167, 2085, 6514, 11, 814, 690, 4461, 2646, 387, 439, 9498, 323, 27331, 439, 814, 1436, 617, 1027, 13, 1472, 649, 990, 449, 701, 24195, 389, 6514, 323, 35130, 13, 7839, 5627, 311, 5471, 272, 14310, 307, 91260, 374, 555, 10223, 704, 61253, 3629, 323, 10494, 701, 83170, 477, 2967, 4414, 9235, 13, 9393, 1070, 527, 2204, 42400, 315, 272, 14310, 87800, 11, 701, 20229, 1253, 387, 29374, 5361, 3115, 5423, 304, 3115, 315, 8631, 477, 10223, 22484, 627, 644, 3836, 1245, 20407, 331, 20000, 320, 77518, 8, 1389, 21839, 279, 16553, 1054, 88172, 9520, 50600, 31071, 331, 20000, 4131, 505, 264, 955, 315, 33333, 323, 706, 3892, 1207, 9426, 13, 77417, 1253, 1427, 1790, 1093, 264, 3823, 9439, 449, 72188, 32643, 11, 40700, 287, 11, 17250, 27027, 11, 18710, 11, 323, 305, 8512, 2785, 3871, 13, 1442, 832, 16553, 706, 264, 9439, 11, 2949, 264, 5743, 315, 2919, 682, 315, 701, 54623, 690, 4461, 617, 264, 9439, 13, 1115, 22223, 69089, 1234, 220, 21, 5672, 315, 4325, 279, 1455, 11, 323, 814, 617, 279, 8592, 29528, 4478, 13, 2684, 527, 40300, 311, 1520, 5471, 50600, 31071, 331, 20000, 11, 719, 279, 38009, 315, 1207, 9426, 323, 34684, 3727, 433, 5107, 311, 6724, 5471, 13, 2684, 374, 539, 1790, 499, 649, 656, 311, 4322, 28858, 19054, 279, 9499, 220, 18, 12, 19, 112631, 13, 921, 5908, 430, 527, 14363, 449, 264, 9439, 527, 1633, 47281, 311, 14580, 30020, 11, 779, 2567, 1124, 4335, 449, 1695, 3691, 323, 3090, 13, 320, 35, 1412, 88, 9304, 58320, 8184, 6150, 340, 44, 548, 74, 753, 31974, 5364, 548, 74, 753, 31974, 374, 264, 29962, 8624, 430, 374, 4661, 2744, 19094, 13, 9393, 315, 420, 11, 1455, 44355, 727, 69089, 527, 70558, 2403, 433, 304, 872, 1176, 220, 1187, 4207, 1306, 305, 33024, 477, 1524, 1418, 814, 527, 2103, 304, 279, 19151, 13, 1472, 1288, 2980, 14027, 16252, 701, 1938, 6418, 69089, 439, 814, 690, 6288, 617, 2753, 2077, 311, 279, 25474, 439, 814, 4325, 13, 6104, 1455, 54623, 617, 4762, 1027, 15246, 520, 1063, 1486, 311, 64898, 74, 753, 2085, 10671, 5986, 11, 10671, 32647, 649, 33556, 872, 22852, 1887, 3403, 311, 2339, 433, 13, 64898, 74, 753, 706, 264, 220, 17, 30609, 40370, 4261, 1418, 2103, 89534, 1603, 279, 31863, 9221, 74106, 5986, 13, 763, 69089, 11, 433, 11383, 84332, 555, 4785, 4814, 1524, 449, 1695, 10173, 323, 4648, 2949, 922, 220, 23, 5672, 13, 55025, 54623, 617, 1023, 13803, 1778, 439, 74649, 6548, 11, 2531, 86139, 11, 323, 56071, 627, 46, 56102, 278, 20000, 320, 44, 1136, 88, 63226, 31974, 8, 1389, 6104, 19116, 764, 278, 20000, 374, 6118, 9057, 555, 459, 19405, 315, 279, 308, 3963, 5246, 1306, 305, 33024, 11, 433, 649, 387, 9057, 555, 41086, 19151, 28786, 17919, 24032, 1139, 279, 12811, 13, 921, 5908, 1253, 1524, 2815, 1603, 305, 33024, 13, 77417, 304, 69089, 1253, 2997, 459, 653, 383, 5962, 11, 76193, 11, 477, 24237, 88, 308, 3963, 13, 578, 64772, 1253, 387, 1612, 2954, 13, 763, 4689, 11, 814, 690, 387, 98522, 867, 292, 11, 305, 8512, 2785, 3221, 279, 8798, 2592, 13, 19116, 764, 278, 20000, 1253, 387, 9057, 555, 8009, 77623, 304, 279, 49727, 859, 477, 2967, 4414, 11, 555, 264, 31863, 1069, 377, 287, 520, 2500, 753, 308, 3963, 11, 477, 1524, 555, 264, 7158, 31715, 279, 308, 3963, 1156, 370, 477, 32720, 37781, 321, 950, 23125, 369, 3347, 88, 31056, 323, 19969, 311, 4335, 433, 1022, 13, 36947, 374, 304, 96391, 11, 539, 49727, 1113, 19108, 19335, 11, 323, 555, 19486, 264, 2697, 80087, 483, 311, 904, 653, 383, 5962, 8235, 2053, 389, 701, 69089, 627, 17691, 1677, 6985, 12, 3947, 527, 1690, 42400, 315, 41420, 6985, 26, 1063, 315, 902, 527, 11660, 311, 12966, 11, 719, 6118, 2204, 505, 279, 42400, 430, 527, 11660, 311, 69089, 13, 77417, 1253, 2997, 69393, 11, 36709, 11, 4814, 315, 38575, 11, 14362, 535, 839, 4420, 36805, 3698, 323, 67272, 645, 11, 682, 6522, 311, 4648, 13, 1221, 8500, 23842, 374, 11383, 1772, 90653, 336, 505, 10278, 22654, 315, 24032, 13, 4427, 46850, 617, 1027, 6982, 311, 22472, 62826, 6985, 11502, 275, 85342, 304, 1633, 3995, 320, 16, 2046, 477, 2753, 304, 4325, 8, 69089, 320, 15571, 77, 1409, 612, 11605, 11, 220, 2550, 16, 570, 3011, 374, 11951, 279, 62826, 6985, 430, 649, 387, 11660, 311, 12966, 719, 1193, 11953, 555, 54623, 13, 6104, 46850, 1253, 387, 7524, 304, 27723, 264, 14363, 16553, 11, 62826, 6985, 649, 2103, 387, 42767, 323, 34527, 1023, 54623, 13, 4427, 41420, 6985, 42400, 2011, 387, 5068, 311, 2890, 11527, 13, 1102, 374, 1888, 311, 5766, 433, 3794, 1139, 701, 49816, 520, 682, 555, 1193, 23395, 505, 4335, 11, 12793, 282, 36036, 13, 578, 24032, 649, 18167, 389, 6445, 12744, 50876, 294, 8363, 369, 4330, 1667, 11, 649, 387, 34699, 6089, 1139, 459, 19151, 555, 279, 48916, 11, 555, 29374, 7118, 604, 826, 315, 1023, 54623, 477, 94209, 11, 477, 52673, 7241, 627, 38036, 52683, 12, 1115, 17563, 19159, 1633, 78792, 4773, 6427, 69393, 323, 1160, 33028, 304, 279, 69089, 430, 527, 11754, 13, 1102, 374, 264, 45964, 19405, 430, 11383, 43653, 1555, 88204, 7113, 13, 95951, 83300, 38018, 304, 3090, 649, 387, 1511, 311, 4322, 29374, 69089, 11, 719, 279, 1888, 27344, 374, 6300, 16204, 323, 539, 88204, 7113, 627, 8142, 1521, 49909, 649, 387, 29565, 11, 1455, 649, 387, 32098, 555, 10494, 701, 2967, 4414, 323, 83170, 4335, 13, 28082, 1695, 17332, 17476, 11193, 1778, 439, 31398, 1603, 33018, 264, 502, 16553, 13, 1472, 649, 2567, 701, 2697, 69089, 9498, 439, 499, 3139, 701, 49816, 627, 35, 1412, 88, 9304, 58320, 8184, 6150, 13, 320, 77, 962, 36434, 88911, 1245, 20407, 331, 20000, 304, 63226, 729, 13, 58891, 5936, 220, 1691, 11, 220, 2366, 15, 11, 505, 8961, 12393, 26732, 916, 25, 3788, 1129, 2185, 840, 2227, 12393, 26732, 916, 14, 2078, 3529, 56407, 55885, 4420, 55119, 1773, 1082, 2315, 18480, 3836, 1245, 31217, 263, 331, 20000, 6018, 15571, 77, 1409, 11, 386, 13, 356, 2637, 612, 11605, 11, 469, 13, 362, 13, 320, 2550, 16, 570, 7935, 315, 62826, 6985, 3810, 275, 85342, 30020, 304, 66628, 555, 46033, 52926, 258, 426, 323, 11259, 774, 454, 6417, 13, 43608, 323, 25027, 18654, 81162, 11, 220, 22539, 12, 24216, 627, 31224, 48711, 11, 362, 13, 480, 2637, 612, 14583, 5325, 11, 426, 13, 320, 679, 16, 570, 578, 34619, 98074, 261, 753, 13002, 311, 56478, 63226, 729, 13, 58774, 22108, 25, 72183, 18312, 13, 128001, 128000, 33246, 220, 17, 303, 690, 16058, 3719, 264, 1938, 315, 25960, 4028, 13936, 11, 439, 389, 6790, 220, 17, 11, 220, 679, 18, 11, 279, 71674, 305, 4214, 315, 279, 19730, 18711, 9029, 13792, 10349, 320, 58547, 6616, 34, 705, 11887, 279, 1176, 14434, 13716, 13792, 320, 8561, 49, 8, 6351, 977, 304, 13936, 1234, 279, 1650, 1879, 19718, 17, 51, 1953, 13, 1115, 423, 18953, 6351, 977, 11, 902, 374, 13234, 323, 24026, 555, 279, 43317, 6616, 34, 11, 374, 8599, 311, 279, 3728, 423, 18953, 5364, 47572, 4009, 11, 902, 690, 2187, 19730, 18711, 305, 4214, 311, 19570, 449, 832, 2500, 6957, 279, 19730, 18711, 9984, 52941, 17593, 11, 5636, 31550, 1701, 279, 423, 18953, 5364, 47572, 4009, 627, 86809, 18711, 11, 264, 9984, 52941, 17593, 315, 279, 9029, 753, 5545, 315, 5734, 11, 374, 7559, 389, 5734, 753, 10007, 13962, 323, 706, 264, 7187, 315, 927, 220, 22, 3610, 1274, 13, 8922, 25, 27685, 627, 66625, 502, 14434, 13716, 13792, 6351, 977, 1887, 706, 19407, 24872, 1057, 10758, 17357, 4028, 279, 4459, 19730, 18711, 9984, 52941, 17593, 11, 5636, 433, 1101, 6835, 603, 279, 5845, 311, 2567, 304, 3729, 449, 1057, 6469, 3697, 682, 927, 279, 1917, 449, 10973, 26110, 68127, 7855, 4367, 9520, 1071, 15274, 26132, 526, 11, 27390, 1389, 43317, 6616, 34, 11, 323, 16383, 13824, 9063, 5793, 449, 279, 1650, 1879, 315, 19718, 17, 55, 41, 45, 13, 763, 5369, 311, 47594, 872, 6469, 753, 6484, 17320, 17357, 11, 279, 502, 19718, 17, 51, 1953, 423, 18953, 6351, 977, 690, 1101, 387, 1511, 311, 12192, 13824, 9063, 323, 304, 872, 2254, 4029, 11, 5636, 8854, 439, 459, 25631, 3445, 315, 10758, 2391, 69074, 477, 5933, 51751, 11, 3779, 26132, 526, 627, 34814, 11, 1070, 527, 13489, 220, 19, 11, 3101, 423, 18953, 3932, 29460, 323, 927, 220, 14245, 423, 18953, 6351, 977, 29460, 304, 1005, 2212, 279, 24867, 323, 1521, 5219, 527, 810, 1109, 60115, 1475, 1060, 11, 3339, 423, 18953, 832, 315, 279, 26731, 7982, 13824, 9063, 14645, 627, 1271, 2680, 279, 19718, 17, 51, 1953, 423, 18953, 6351, 977, 11, 279, 11900, 374, 220, 19305, 13, 10617, 37594, 11, 449, 264, 482, 20, 13, 15, 37594, 4445, 323, 264, 41962, 6247, 315, 220, 16, 627, 128001 ]
[ -100, 50, 875, 921, 5908, 25, 220, 22, 7874, 12799, 2136, 288, 1472, 3297, 92957, 198, 18398, 553, 323, 39168, 12799, 2136, 304, 921, 5908, 198, 25729, 22106, 1555, 264, 44355, 727, 11, 12096, 8945, 69089, 505, 279, 8961, 3637, 11, 477, 305, 33024, 701, 1866, 11, 1070, 527, 8254, 4279, 49909, 505, 902, 814, 2643, 7831, 13, 1472, 1288, 387, 8010, 315, 1521, 19338, 779, 430, 499, 649, 15641, 1124, 6288, 13, 1789, 1063, 11, 4062, 6514, 649, 3665, 701, 14363, 69089, 13, 7648, 315, 1521, 527, 1101, 5471, 481, 11, 422, 499, 1833, 1695, 12659, 994, 30598, 369, 701, 8945, 69089, 627, 2170, 716, 61887, 2353, 285, 320, 27368, 4414, 393, 126261, 21947, 8, 1389, 1666, 716, 61887, 2353, 285, 374, 9057, 555, 264, 79902, 13, 578, 993, 4692, 9041, 304, 8369, 11, 21147, 11, 19108, 22484, 1778, 439, 264, 19108, 49727, 859, 477, 2967, 4414, 13, 1666, 716, 61887, 2353, 285, 374, 539, 9041, 1990, 20229, 11, 1193, 57340, 13, 921, 5908, 527, 5423, 20134, 1606, 279, 502, 272, 25045, 304, 872, 28691, 7784, 1431, 15196, 67, 3403, 311, 3351, 279, 79902, 993, 4692, 709, 323, 704, 13, 77417, 2997, 1825, 92139, 291, 27027, 323, 6962, 10194, 369, 3805, 4315, 1023, 42631, 13803, 1778, 439, 72188, 32643, 13, 2435, 1253, 1101, 617, 23418, 1887, 13803, 1778, 439, 18659, 1105, 11, 38550, 311, 8335, 11, 323, 2010, 80654, 13, 77417, 1253, 1427, 4528, 311, 64898, 74, 753, 8624, 323, 374, 11383, 29704, 555, 90090, 16865, 315, 279, 79902, 4529, 505, 279, 5419, 42631, 1887, 13, 578, 1888, 27344, 374, 311, 2567, 4395, 4335, 323, 4148, 14739, 39682, 13, 2684, 527, 22972, 994, 69089, 3719, 5986, 1778, 439, 452, 599, 15111, 323, 3383, 52399, 11893, 258, 426, 11, 719, 814, 527, 11646, 13, 578, 993, 4692, 649, 34527, 12966, 11, 439, 1664, 627, 34, 14310, 307, 91260, 1389, 356, 14310, 307, 91260, 374, 9057, 555, 459, 63900, 85573, 13, 9393, 20229, 1069, 377, 520, 4395, 11, 814, 656, 1101, 1069, 377, 520, 76916, 13, 3296, 3815, 779, 11, 814, 89372, 96009, 19335, 11, 902, 44355, 323, 1243, 7951, 654, 1139, 279, 31863, 753, 63900, 7147, 13, 1115, 11384, 1063, 35763, 11, 32971, 555, 19087, 311, 2579, 1933, 304, 872, 76916, 902, 1253, 1101, 387, 13091, 27520, 323, 6782, 65104, 788, 13, 578, 69089, 1253, 3719, 50682, 11, 7118, 1289, 11, 323, 8343, 2753, 13, 6104, 701, 16553, 1253, 18167, 2085, 6514, 11, 814, 690, 4461, 2646, 387, 439, 9498, 323, 27331, 439, 814, 1436, 617, 1027, 13, 1472, 649, 990, 449, 701, 24195, 389, 6514, 323, 35130, 13, 7839, 5627, 311, 5471, 272, 14310, 307, 91260, 374, 555, 10223, 704, 61253, 3629, 323, 10494, 701, 83170, 477, 2967, 4414, 9235, 13, 9393, 1070, 527, 2204, 42400, 315, 272, 14310, 87800, 11, 701, 20229, 1253, 387, 29374, 5361, 3115, 5423, 304, 3115, 315, 8631, 477, 10223, 22484, 627, 644, 3836, 1245, 20407, 331, 20000, 320, 77518, 8, 1389, 21839, 279, 16553, 1054, 88172, 9520, 50600, 31071, 331, 20000, 4131, 505, 264, 955, 315, 33333, 323, 706, 3892, 1207, 9426, 13, 77417, 1253, 1427, 1790, 1093, 264, 3823, 9439, 449, 72188, 32643, 11, 40700, 287, 11, 17250, 27027, 11, 18710, 11, 323, 305, 8512, 2785, 3871, 13, 1442, 832, 16553, 706, 264, 9439, 11, 2949, 264, 5743, 315, 2919, 682, 315, 701, 54623, 690, 4461, 617, 264, 9439, 13, 1115, 22223, 69089, 1234, 220, 21, 5672, 315, 4325, 279, 1455, 11, 323, 814, 617, 279, 8592, 29528, 4478, 13, 2684, 527, 40300, 311, 1520, 5471, 50600, 31071, 331, 20000, 11, 719, 279, 38009, 315, 1207, 9426, 323, 34684, 3727, 433, 5107, 311, 6724, 5471, 13, 2684, 374, 539, 1790, 499, 649, 656, 311, 4322, 28858, 19054, 279, 9499, 220, 18, 12, 19, 112631, 13, 921, 5908, 430, 527, 14363, 449, 264, 9439, 527, 1633, 47281, 311, 14580, 30020, 11, 779, 2567, 1124, 4335, 449, 1695, 3691, 323, 3090, 13, 320, 35, 1412, 88, 9304, 58320, 8184, 6150, 340, 44, 548, 74, 753, 31974, 5364, 548, 74, 753, 31974, 374, 264, 29962, 8624, 430, 374, 4661, 2744, 19094, 13, 9393, 315, 420, 11, 1455, 44355, 727, 69089, 527, 70558, 2403, 433, 304, 872, 1176, 220, 1187, 4207, 1306, 305, 33024, 477, 1524, 1418, 814, 527, 2103, 304, 279, 19151, 13, 1472, 1288, 2980, 14027, 16252, 701, 1938, 6418, 69089, 439, 814, 690, 6288, 617, 2753, 2077, 311, 279, 25474, 439, 814, 4325, 13, 6104, 1455, 54623, 617, 4762, 1027, 15246, 520, 1063, 1486, 311, 64898, 74, 753, 2085, 10671, 5986, 11, 10671, 32647, 649, 33556, 872, 22852, 1887, 3403, 311, 2339, 433, 13, 64898, 74, 753, 706, 264, 220, 17, 30609, 40370, 4261, 1418, 2103, 89534, 1603, 279, 31863, 9221, 74106, 5986, 13, 763, 69089, 11, 433, 11383, 84332, 555, 4785, 4814, 1524, 449, 1695, 10173, 323, 4648, 2949, 922, 220, 23, 5672, 13, 55025, 54623, 617, 1023, 13803, 1778, 439, 74649, 6548, 11, 2531, 86139, 11, 323, 56071, 627, 46, 56102, 278, 20000, 320, 44, 1136, 88, 63226, 31974, 8, 1389, 6104, 19116, 764, 278, 20000, 374, 6118, 9057, 555, 459, 19405, 315, 279, 308, 3963, 5246, 1306, 305, 33024, 11, 433, 649, 387, 9057, 555, 41086, 19151, 28786, 17919, 24032, 1139, 279, 12811, 13, 921, 5908, 1253, 1524, 2815, 1603, 305, 33024, 13, 77417, 304, 69089, 1253, 2997, 459, 653, 383, 5962, 11, 76193, 11, 477, 24237, 88, 308, 3963, 13, 578, 64772, 1253, 387, 1612, 2954, 13, 763, 4689, 11, 814, 690, 387, 98522, 867, 292, 11, 305, 8512, 2785, 3221, 279, 8798, 2592, 13, 19116, 764, 278, 20000, 1253, 387, 9057, 555, 8009, 77623, 304, 279, 49727, 859, 477, 2967, 4414, 11, 555, 264, 31863, 1069, 377, 287, 520, 2500, 753, 308, 3963, 11, 477, 1524, 555, 264, 7158, 31715, 279, 308, 3963, 1156, 370, 477, 32720, 37781, 321, 950, 23125, 369, 3347, 88, 31056, 323, 19969, 311, 4335, 433, 1022, 13, 36947, 374, 304, 96391, 11, 539, 49727, 1113, 19108, 19335, 11, 323, 555, 19486, 264, 2697, 80087, 483, 311, 904, 653, 383, 5962, 8235, 2053, 389, 701, 69089, 627, 17691, 1677, 6985, 12, 3947, 527, 1690, 42400, 315, 41420, 6985, 26, 1063, 315, 902, 527, 11660, 311, 12966, 11, 719, 6118, 2204, 505, 279, 42400, 430, 527, 11660, 311, 69089, 13, 77417, 1253, 2997, 69393, 11, 36709, 11, 4814, 315, 38575, 11, 14362, 535, 839, 4420, 36805, 3698, 323, 67272, 645, 11, 682, 6522, 311, 4648, 13, 1221, 8500, 23842, 374, 11383, 1772, 90653, 336, 505, 10278, 22654, 315, 24032, 13, 4427, 46850, 617, 1027, 6982, 311, 22472, 62826, 6985, 11502, 275, 85342, 304, 1633, 3995, 320, 16, 2046, 477, 2753, 304, 4325, 8, 69089, 320, 15571, 77, 1409, 612, 11605, 11, 220, 2550, 16, 570, 3011, 374, 11951, 279, 62826, 6985, 430, 649, 387, 11660, 311, 12966, 719, 1193, 11953, 555, 54623, 13, 6104, 46850, 1253, 387, 7524, 304, 27723, 264, 14363, 16553, 11, 62826, 6985, 649, 2103, 387, 42767, 323, 34527, 1023, 54623, 13, 4427, 41420, 6985, 42400, 2011, 387, 5068, 311, 2890, 11527, 13, 1102, 374, 1888, 311, 5766, 433, 3794, 1139, 701, 49816, 520, 682, 555, 1193, 23395, 505, 4335, 11, 12793, 282, 36036, 13, 578, 24032, 649, 18167, 389, 6445, 12744, 50876, 294, 8363, 369, 4330, 1667, 11, 649, 387, 34699, 6089, 1139, 459, 19151, 555, 279, 48916, 11, 555, 29374, 7118, 604, 826, 315, 1023, 54623, 477, 94209, 11, 477, 52673, 7241, 627, 38036, 52683, 12, 1115, 17563, 19159, 1633, 78792, 4773, 6427, 69393, 323, 1160, 33028, 304, 279, 69089, 430, 527, 11754, 13, 1102, 374, 264, 45964, 19405, 430, 11383, 43653, 1555, 88204, 7113, 13, 95951, 83300, 38018, 304, 3090, 649, 387, 1511, 311, 4322, 29374, 69089, 11, 719, 279, 1888, 27344, 374, 6300, 16204, 323, 539, 88204, 7113, 627, 8142, 1521, 49909, 649, 387, 29565, 11, 1455, 649, 387, 32098, 555, 10494, 701, 2967, 4414, 323, 83170, 4335, 13, 28082, 1695, 17332, 17476, 11193, 1778, 439, 31398, 1603, 33018, 264, 502, 16553, 13, 1472, 649, 2567, 701, 2697, 69089, 9498, 439, 499, 3139, 701, 49816, 627, 35, 1412, 88, 9304, 58320, 8184, 6150, 13, 320, 77, 962, 36434, 88911, 1245, 20407, 331, 20000, 304, 63226, 729, 13, 58891, 5936, 220, 1691, 11, 220, 2366, 15, 11, 505, 8961, 12393, 26732, 916, 25, 3788, 1129, 2185, 840, 2227, 12393, 26732, 916, 14, 2078, 3529, 56407, 55885, 4420, 55119, 1773, 1082, 2315, 18480, 3836, 1245, 31217, 263, 331, 20000, 6018, 15571, 77, 1409, 11, 386, 13, 356, 2637, 612, 11605, 11, 469, 13, 362, 13, 320, 2550, 16, 570, 7935, 315, 62826, 6985, 3810, 275, 85342, 30020, 304, 66628, 555, 46033, 52926, 258, 426, 323, 11259, 774, 454, 6417, 13, 43608, 323, 25027, 18654, 81162, 11, 220, 22539, 12, 24216, 627, 31224, 48711, 11, 362, 13, 480, 2637, 612, 14583, 5325, 11, 426, 13, 320, 679, 16, 570, 578, 34619, 98074, 261, 753, 13002, 311, 56478, 63226, 729, 13, 58774, 22108, 25, 72183, 18312, 13, 128001, -100, 33246, 220, 17, 303, 690, 16058, 3719, 264, 1938, 315, 25960, 4028, 13936, 11, 439, 389, 6790, 220, 17, 11, 220, 679, 18, 11, 279, 71674, 305, 4214, 315, 279, 19730, 18711, 9029, 13792, 10349, 320, 58547, 6616, 34, 705, 11887, 279, 1176, 14434, 13716, 13792, 320, 8561, 49, 8, 6351, 977, 304, 13936, 1234, 279, 1650, 1879, 19718, 17, 51, 1953, 13, 1115, 423, 18953, 6351, 977, 11, 902, 374, 13234, 323, 24026, 555, 279, 43317, 6616, 34, 11, 374, 8599, 311, 279, 3728, 423, 18953, 5364, 47572, 4009, 11, 902, 690, 2187, 19730, 18711, 305, 4214, 311, 19570, 449, 832, 2500, 6957, 279, 19730, 18711, 9984, 52941, 17593, 11, 5636, 31550, 1701, 279, 423, 18953, 5364, 47572, 4009, 627, 86809, 18711, 11, 264, 9984, 52941, 17593, 315, 279, 9029, 753, 5545, 315, 5734, 11, 374, 7559, 389, 5734, 753, 10007, 13962, 323, 706, 264, 7187, 315, 927, 220, 22, 3610, 1274, 13, 8922, 25, 27685, 627, 66625, 502, 14434, 13716, 13792, 6351, 977, 1887, 706, 19407, 24872, 1057, 10758, 17357, 4028, 279, 4459, 19730, 18711, 9984, 52941, 17593, 11, 5636, 433, 1101, 6835, 603, 279, 5845, 311, 2567, 304, 3729, 449, 1057, 6469, 3697, 682, 927, 279, 1917, 449, 10973, 26110, 68127, 7855, 4367, 9520, 1071, 15274, 26132, 526, 11, 27390, 1389, 43317, 6616, 34, 11, 323, 16383, 13824, 9063, 5793, 449, 279, 1650, 1879, 315, 19718, 17, 55, 41, 45, 13, 763, 5369, 311, 47594, 872, 6469, 753, 6484, 17320, 17357, 11, 279, 502, 19718, 17, 51, 1953, 423, 18953, 6351, 977, 690, 1101, 387, 1511, 311, 12192, 13824, 9063, 323, 304, 872, 2254, 4029, 11, 5636, 8854, 439, 459, 25631, 3445, 315, 10758, 2391, 69074, 477, 5933, 51751, 11, 3779, 26132, 526, 627, 34814, 11, 1070, 527, 13489, 220, 19, 11, 3101, 423, 18953, 3932, 29460, 323, 927, 220, 14245, 423, 18953, 6351, 977, 29460, 304, 1005, 2212, 279, 24867, 323, 1521, 5219, 527, 810, 1109, 60115, 1475, 1060, 11, 3339, 423, 18953, 832, 315, 279, 26731, 7982, 13824, 9063, 14645, 627, 1271, 2680, 279, 19718, 17, 51, 1953, 423, 18953, 6351, 977, 11, 279, 11900, 374, 220, 19305, 13, 10617, 37594, 11, 449, 264, 482, 20, 13, 15, 37594, 4445, 323, 264, 41962, 6247, 315, 220, 16, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 8468, 14656, 30308, 13002, 389, 2650, 311, 54184, 1398, 3176, 56714, 198, 12389, 499, 3596, 6755, 315, 506, 3176, 23691, 11, 477, 374, 433, 264, 6724, 502, 4751, 369, 499, 30, 1472, 3207, 1455, 4461, 311, 13123, 433, 422, 499, 3207, 264, 1579, 2978, 5575, 477, 264, 41317, 13, 2650, 2586, 30, 8626, 434, 1105, 3629, 1005, 420, 955, 315, 9071, 311, 15806, 279, 4236, 529, 82407, 449, 264, 8712, 13, 1398, 3176, 23691, 527, 6118, 10015, 9256, 11411, 311, 47614, 701, 3917, 62194, 323, 4477, 7512, 627, 55915, 11, 499, 690, 387, 4477, 459, 506, 3176, 9071, 304, 538, 477, 2391, 459, 7151, 304, 1455, 5157, 627, 24762, 2650, 311, 9842, 459, 1398, 3176, 27047, 28468, 704, 198, 5451, 11, 4236, 1288, 3619, 279, 28591, 315, 420, 955, 315, 4477, 13, 2100, 11, 1148, 374, 506, 3176, 4477, 30, 578, 31089, 15812, 304, 279, 836, 439, 279, 4751, 75549, 505, 279, 3492, 3451, 327, 3571, 14639, 3277, 4477, 459, 9071, 11, 701, 1925, 5915, 374, 311, 3495, 459, 4623, 477, 10334, 13, 5112, 11, 499, 2011, 10552, 433, 1701, 33445, 9863, 315, 6029, 627, 29690, 430, 420, 955, 315, 9071, 6944, 311, 16805, 1268, 1664, 499, 7491, 701, 4040, 8712, 13, 3011, 374, 3249, 433, 374, 3629, 3970, 439, 961, 315, 459, 7151, 13, 63909, 11, 499, 2011, 5357, 389, 32644, 279, 4360, 2085, 28898, 701, 4443, 9647, 323, 26549, 38072, 449, 279, 13363, 627, 3947, 527, 4330, 4595, 315, 506, 3176, 4477, 11, 323, 814, 527, 512, 12, 3959, 41419, 9071, 11, 304, 902, 499, 617, 311, 7124, 459, 4623, 11, 10334, 11, 3245, 11, 477, 1732, 627, 12, 578, 1920, 9071, 753, 5915, 374, 311, 10552, 1268, 2555, 649, 387, 2884, 627, 12, 362, 12593, 9071, 374, 832, 304, 902, 499, 617, 311, 13168, 1403, 6848, 323, 8417, 872, 67420, 3095, 323, 83379, 627, 12, 45446, 323, 13756, 9071, 11, 304, 902, 701, 1925, 5915, 374, 311, 4320, 4860, 1093, 1054, 10445, 323, 1268, 2555, 7077, 12671, 477, 1054, 3923, 527, 279, 16296, 12671, 198, 12, 362, 3575, 323, 6425, 9071, 527, 1405, 499, 617, 311, 19678, 264, 4040, 4360, 323, 3118, 3284, 10105, 627, 2127, 506, 3176, 9071, 649, 13592, 304, 3160, 3196, 389, 701, 16720, 7036, 13, 4452, 11, 279, 6913, 6070, 5764, 2753, 1109, 220, 16, 11, 931, 4339, 449, 4330, 43743, 13, 1442, 499, 1541, 1431, 617, 3230, 8670, 11, 1817, 704, 422, 701, 73545, 5825, 430, 2038, 13, 1442, 539, 11, 2610, 701, 14561, 627, 4438, 311, 22991, 264, 34011, 369, 1398, 3176, 56714, 198, 2746, 499, 3207, 4477, 264, 5684, 2391, 279, 18228, 11, 1070, 374, 912, 1205, 311, 2274, 264, 8712, 439, 279, 11326, 690, 3041, 433, 311, 499, 13, 4452, 11, 422, 433, 753, 459, 704, 8838, 15144, 16720, 11, 499, 690, 617, 311, 7216, 704, 279, 5030, 6261, 13, 578, 1176, 11813, 1618, 374, 311, 5268, 459, 4623, 477, 7434, 430, 499, 3207, 11537, 449, 13, 1102, 1053, 387, 1790, 8831, 369, 499, 311, 4546, 9959, 12899, 6029, 422, 499, 617, 4972, 6677, 13, 578, 6945, 1288, 15550, 3357, 499, 627, 12487, 11, 1603, 6975, 1268, 311, 1212, 459, 506, 3176, 9071, 11, 2980, 682, 279, 506, 3176, 9071, 4595, 13, 4718, 5603, 311, 279, 8712, 5873, 323, 701, 1648, 315, 7422, 6904, 389, 430, 627, 16323, 53009, 315, 279, 1398, 3176, 27047, 25, 2650, 311, 4324, 264, 84675, 288, 535, 29696, 198, 32, 8776, 6070, 369, 459, 506, 3176, 9071, 17610, 315, 4330, 43743, 25, 459, 62469, 449, 264, 17850, 5224, 11, 2380, 2547, 43743, 11, 323, 264, 17102, 627, 4599, 4477, 459, 506, 3176, 9071, 11, 24564, 1475, 6566, 15884, 323, 85121, 13, 35106, 279, 1176, 323, 279, 2132, 4443, 19126, 60086, 311, 1304, 499, 5222, 40661, 13, 4718, 10877, 6944, 701, 4443, 11704, 311, 387, 264, 6710, 315, 33445, 2038, 323, 539, 264, 8197, 13, 12361, 11, 701, 5915, 374, 311, 5578, 704, 13363, 449, 6029, 13, 1102, 753, 48776, 311, 3197, 704, 701, 21782, 1603, 499, 1212, 13, 5112, 11, 433, 753, 892, 311, 30963, 1555, 279, 14646, 5596, 311, 27845, 701, 3465, 627, 4438, 311, 1357, 48945, 459, 1398, 3176, 27047, 198, 849, 3176, 23691, 1212, 449, 459, 20285, 6832, 6156, 5915, 374, 311, 2339, 279, 6742, 753, 6666, 13, 86346, 8736, 5528, 13592, 505, 87068, 4860, 311, 32549, 17637, 13, 9479, 11, 1456, 311, 2802, 701, 6742, 555, 27851, 33018, 701, 8712, 449, 9903, 12518, 13, 4740, 1637, 11, 3493, 264, 17850, 5224, 29385, 4954, 323, 28898, 701, 1925, 4623, 627, 11458, 11, 279, 506, 3176, 17850, 374, 10284, 2204, 505, 1023, 9071, 4595, 1093, 5811, 1413, 477, 7419, 13, 5810, 11, 499, 1541, 1431, 617, 311, 1304, 459, 5811, 477, 1614, 701, 9647, 13, 12361, 11, 21782, 279, 1925, 8712, 11, 2737, 1063, 4092, 2038, 311, 11537, 553, 701, 6742, 449, 279, 1162, 627, 4438, 311, 9842, 81446, 315, 459, 1398, 3176, 27047, 198, 791, 2547, 315, 701, 9071, 374, 311, 3118, 701, 8712, 4184, 311, 701, 17850, 13, 1102, 3629, 17610, 315, 2380, 477, 810, 43743, 13, 5629, 11, 1304, 2771, 499, 3493, 24884, 2038, 311, 23075, 8389, 16296, 13, 5112, 11, 499, 9407, 279, 2547, 323, 923, 1063, 6029, 6108, 1862, 13, 1666, 499, 1253, 387, 2875, 315, 892, 11, 433, 753, 2653, 311, 656, 304, 31410, 3495, 627, 2675, 617, 311, 7124, 279, 8712, 10534, 323, 9687, 555, 499, 11, 304, 420, 1162, 11, 28902, 9539, 323, 304, 264, 20406, 2015, 13, 17830, 11, 6381, 1475, 2547, 14646, 449, 6300, 10105, 627, 4438, 311, 1221, 866, 459, 1398, 3176, 27047, 198, 791, 17102, 315, 459, 506, 3176, 9071, 1421, 2690, 279, 8712, 3094, 555, 3094, 13, 1102, 1288, 539, 3118, 904, 502, 2038, 477, 6029, 719, 4619, 11, 5357, 389, 25695, 709, 279, 6931, 3585, 13, 4718, 17102, 374, 1070, 311, 15411, 709, 279, 9071, 23387, 398, 627, 4438, 311, 9842, 1398, 3176, 27047, 25, 5422, 21387, 198, 38, 1894, 701, 11555, 323, 8881, 323, 5357, 389, 279, 4360, 315, 701, 4477, 13, 10995, 553, 279, 2038, 779, 430, 433, 3727, 5647, 311, 279, 6742, 13, 22991, 279, 8712, 15884, 11, 49189, 505, 701, 506, 3176, 9071, 955, 13, 34011, 23719, 323, 17850, 12518, 1376, 279, 20278, 315, 1148, 499, 1390, 311, 2019, 13, 1102, 374, 1148, 499, 527, 24450, 369, 279, 6742, 311, 1781, 922, 627, 10464, 1401, 32847, 323, 4339, 311, 14497, 832, 4623, 311, 279, 1828, 39511, 13, 9479, 11, 12391, 701, 1162, 449, 10507, 11, 4443, 3217, 11, 323, 6029, 13, 8442, 66343, 323, 1664, 79255, 291, 2038, 649, 8815, 701, 10877, 753, 7422, 13, 2100, 11, 422, 433, 3250, 1431, 8815, 11, 433, 3250, 1431, 2349, 627, 3112, 5616, 11, 3350, 701, 17102, 20193, 11, 312, 1178, 287, 701, 17850, 323, 2361, 13, 4718, 5224, 1288, 11049, 279, 6848, 11, 34692, 11, 323, 10507, 311, 3041, 279, 6742, 2555, 311, 48883, 13, 128001, 128000, 3923, 374, 264, 20789, 7057, 430, 374, 11953, 6957, 350, 13, 328, 13, 34362, 354, 596, 330, 791, 10919, 19508, 315, 622, 13, 42592, 2394, 1739, 21161, 1, 5380, 19171, 3041, 1403, 10507, 505, 279, 990, 430, 41468, 420, 7057, 627, 16, 22559, 765, 2758, 98018, 198, 4054, 8792, 323, 20789, 7057, 430, 8640, 6957, 350, 13, 328, 13, 34362, 354, 753, 1054, 791, 10919, 19508, 315, 622, 13, 42592, 2394, 1739, 21161, 863, 374, 430, 315, 1268, 279, 88452, 315, 6617, 8396, 11767, 311, 8850, 323, 27924, 304, 7931, 13, 6104, 304, 9191, 19624, 27833, 11, 5127, 7020, 872, 2035, 323, 1268, 814, 1051, 3685, 311, 16681, 449, 1023, 1274, 11, 304, 279, 60849, 278, 6617, 3363, 315, 7295, 11, 912, 1778, 2847, 62124, 3073, 13, 14636, 2394, 1739, 21161, 374, 15320, 5278, 79155, 535, 323, 36218, 11, 10371, 5678, 1778, 4860, 439, 3508, 568, 1288, 10051, 813, 7013, 264, 3738, 1648, 11, 3508, 568, 1288, 33304, 2610, 264, 5333, 704, 11, 323, 568, 47521, 92113, 264, 7895, 58395, 323, 54862, 14, 10438, 279, 4737, 315, 264, 23211, 323, 15600, 35147, 13, 1102, 374, 420, 6996, 315, 44743, 304, 3674, 323, 16033, 14726, 430, 11705, 279, 3752, 315, 279, 65271, 11, 449, 813, 11102, 2136, 42852, 279, 91342, 367, 315, 279, 6225, 13757, 323, 27700, 1711, 315, 279, 6617, 1917, 627, 12572, 311, 4320, 420, 3488, 198, 12572, 264, 4029, 315, 9214, 315, 12514, 13639, 323, 4236, 23165, 384, 22405, 128001, 128000, 83146, 323, 43800, 367, 304, 4606, 198, 2520, 420, 10182, 37736, 11, 4236, 1935, 8554, 304, 264, 9676, 922, 10182, 323, 54832, 315, 4606, 439, 814, 1373, 11, 1243, 4320, 3116, 4860, 922, 62194, 627, 1927, 25987, 220, 6028, 50261, 198, 83146, 323, 43800, 367, 315, 10384, 198, 7229, 11872, 11904, 10182, 323, 54832, 1555, 420, 1495, 11733, 41890, 37736, 13, 61078, 5079, 1373, 922, 1268, 10182, 323, 54832, 7958, 2324, 304, 10384, 11, 1935, 8554, 11, 323, 4320, 220, 19, 62194, 4860, 439, 814, 1373, 279, 6727, 13, 362, 21154, 9522, 21, 339, 482, 220, 23, 339, 9983, 19241, 612, 11346, 198, 3648, 10506, 578, 30508, 9878, 25, 578, 31541, 315, 264, 12517, 315, 19687, 198, 791, 7665, 35011, 3298, 320, 13637, 279, 30508, 9878, 8, 574, 6319, 311, 4546, 3871, 323, 2274, 264, 9090, 315, 23915, 4315, 7665, 17089, 1306, 4435, 5111, 8105, 13, 3308, 3697, 21635, 279, 7384, 505, 279, 30508, 9878, 31324, 323, 8720, 9522, 23, 339, 482, 220, 717, 339, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 4110, 4718, 21189, 14438, 5907, 198, 41672, 31839, 20461, 872, 6677, 315, 54242, 449, 420, 2523, 11, 40806, 3674, 7978, 2447, 13, 22938, 304, 2678, 5315, 11, 4236, 2274, 872, 1633, 1866, 5961, 11, 4477, 28887, 315, 872, 7106, 3813, 11, 3674, 9522, 20, 339, 482, 220, 23, 339, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 3648, 10506, 3962, 82626, 950, 25, 26361, 323, 4149, 1610, 4001, 5783, 4109, 198, 34746, 6696, 505, 220, 5067, 9827, 311, 220, 9591, 15, 9827, 19543, 304, 279, 99359, 315, 1772, 15144, 950, 86569, 11, 279, 14800, 315, 15256, 4028, 1690, 13918, 11, 323, 279, 18874, 315, 9024, 7384, 323, 18699, 6848, 2001, 539, 311, 6420, 279, 9041, 9522, 24, 339, 482, 35321, 3279, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 3648, 10506, 29026, 9454, 25, 96418, 22050, 1171, 11, 423, 3329, 311, 18308, 198, 791, 7493, 315, 29026, 9454, 11, 24658, 77339, 11, 323, 13960, 5929, 41468, 279, 2410, 315, 2911, 311, 1304, 264, 6811, 13, 578, 2380, 18228, 304, 420, 2011, 69584, 5211, 527, 6319, 311, 31740, 3995, 1274, 311, 1304, 264, 6811, 304, 872, 1917, 78928, 21, 339, 482, 220, 24, 339, 6498, 11688, 17979, 13844, 1242, 25, 2467, 391, 2048, 198, 791, 43777, 315, 10884, 20631, 2191, 11, 279, 5256, 315, 4435, 5111, 8105, 323, 279, 2326, 6075, 198, 4438, 1550, 90364, 61911, 11, 304, 7634, 1093, 8524, 11, 15704, 11, 10057, 11, 323, 6457, 11, 2586, 311, 2410, 1306, 4435, 5111, 358, 30, 4718, 3995, 51801, 690, 16136, 304, 264, 503, 88024, 5820, 323, 1243, 24564, 279, 2077, 315, 279, 3723, 4273, 311, 279, 10205, 9522, 605, 339, 482, 220, 717, 339, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 791, 84425, 612, 81398, 315, 4606, 198, 6899, 54358, 270, 7787, 1409, 323, 39319, 11, 420, 15864, 3649, 1690, 13878, 315, 7665, 54242, 323, 63334, 11, 2737, 5933, 5070, 11, 10182, 11, 1948, 5814, 11, 323, 7187, 8141, 13, 1115, 65547, 1053, 387, 459, 9250, 9522, 22, 339, 482, 220, 717, 339, 9983, 19241, 612, 11346, 128001 ]
[ -100, 8468, 14656, 30308, 13002, 389, 2650, 311, 54184, 1398, 3176, 56714, 198, 12389, 499, 3596, 6755, 315, 506, 3176, 23691, 11, 477, 374, 433, 264, 6724, 502, 4751, 369, 499, 30, 1472, 3207, 1455, 4461, 311, 13123, 433, 422, 499, 3207, 264, 1579, 2978, 5575, 477, 264, 41317, 13, 2650, 2586, 30, 8626, 434, 1105, 3629, 1005, 420, 955, 315, 9071, 311, 15806, 279, 4236, 529, 82407, 449, 264, 8712, 13, 1398, 3176, 23691, 527, 6118, 10015, 9256, 11411, 311, 47614, 701, 3917, 62194, 323, 4477, 7512, 627, 55915, 11, 499, 690, 387, 4477, 459, 506, 3176, 9071, 304, 538, 477, 2391, 459, 7151, 304, 1455, 5157, 627, 24762, 2650, 311, 9842, 459, 1398, 3176, 27047, 28468, 704, 198, 5451, 11, 4236, 1288, 3619, 279, 28591, 315, 420, 955, 315, 4477, 13, 2100, 11, 1148, 374, 506, 3176, 4477, 30, 578, 31089, 15812, 304, 279, 836, 439, 279, 4751, 75549, 505, 279, 3492, 3451, 327, 3571, 14639, 3277, 4477, 459, 9071, 11, 701, 1925, 5915, 374, 311, 3495, 459, 4623, 477, 10334, 13, 5112, 11, 499, 2011, 10552, 433, 1701, 33445, 9863, 315, 6029, 627, 29690, 430, 420, 955, 315, 9071, 6944, 311, 16805, 1268, 1664, 499, 7491, 701, 4040, 8712, 13, 3011, 374, 3249, 433, 374, 3629, 3970, 439, 961, 315, 459, 7151, 13, 63909, 11, 499, 2011, 5357, 389, 32644, 279, 4360, 2085, 28898, 701, 4443, 9647, 323, 26549, 38072, 449, 279, 13363, 627, 3947, 527, 4330, 4595, 315, 506, 3176, 4477, 11, 323, 814, 527, 512, 12, 3959, 41419, 9071, 11, 304, 902, 499, 617, 311, 7124, 459, 4623, 11, 10334, 11, 3245, 11, 477, 1732, 627, 12, 578, 1920, 9071, 753, 5915, 374, 311, 10552, 1268, 2555, 649, 387, 2884, 627, 12, 362, 12593, 9071, 374, 832, 304, 902, 499, 617, 311, 13168, 1403, 6848, 323, 8417, 872, 67420, 3095, 323, 83379, 627, 12, 45446, 323, 13756, 9071, 11, 304, 902, 701, 1925, 5915, 374, 311, 4320, 4860, 1093, 1054, 10445, 323, 1268, 2555, 7077, 12671, 477, 1054, 3923, 527, 279, 16296, 12671, 198, 12, 362, 3575, 323, 6425, 9071, 527, 1405, 499, 617, 311, 19678, 264, 4040, 4360, 323, 3118, 3284, 10105, 627, 2127, 506, 3176, 9071, 649, 13592, 304, 3160, 3196, 389, 701, 16720, 7036, 13, 4452, 11, 279, 6913, 6070, 5764, 2753, 1109, 220, 16, 11, 931, 4339, 449, 4330, 43743, 13, 1442, 499, 1541, 1431, 617, 3230, 8670, 11, 1817, 704, 422, 701, 73545, 5825, 430, 2038, 13, 1442, 539, 11, 2610, 701, 14561, 627, 4438, 311, 22991, 264, 34011, 369, 1398, 3176, 56714, 198, 2746, 499, 3207, 4477, 264, 5684, 2391, 279, 18228, 11, 1070, 374, 912, 1205, 311, 2274, 264, 8712, 439, 279, 11326, 690, 3041, 433, 311, 499, 13, 4452, 11, 422, 433, 753, 459, 704, 8838, 15144, 16720, 11, 499, 690, 617, 311, 7216, 704, 279, 5030, 6261, 13, 578, 1176, 11813, 1618, 374, 311, 5268, 459, 4623, 477, 7434, 430, 499, 3207, 11537, 449, 13, 1102, 1053, 387, 1790, 8831, 369, 499, 311, 4546, 9959, 12899, 6029, 422, 499, 617, 4972, 6677, 13, 578, 6945, 1288, 15550, 3357, 499, 627, 12487, 11, 1603, 6975, 1268, 311, 1212, 459, 506, 3176, 9071, 11, 2980, 682, 279, 506, 3176, 9071, 4595, 13, 4718, 5603, 311, 279, 8712, 5873, 323, 701, 1648, 315, 7422, 6904, 389, 430, 627, 16323, 53009, 315, 279, 1398, 3176, 27047, 25, 2650, 311, 4324, 264, 84675, 288, 535, 29696, 198, 32, 8776, 6070, 369, 459, 506, 3176, 9071, 17610, 315, 4330, 43743, 25, 459, 62469, 449, 264, 17850, 5224, 11, 2380, 2547, 43743, 11, 323, 264, 17102, 627, 4599, 4477, 459, 506, 3176, 9071, 11, 24564, 1475, 6566, 15884, 323, 85121, 13, 35106, 279, 1176, 323, 279, 2132, 4443, 19126, 60086, 311, 1304, 499, 5222, 40661, 13, 4718, 10877, 6944, 701, 4443, 11704, 311, 387, 264, 6710, 315, 33445, 2038, 323, 539, 264, 8197, 13, 12361, 11, 701, 5915, 374, 311, 5578, 704, 13363, 449, 6029, 13, 1102, 753, 48776, 311, 3197, 704, 701, 21782, 1603, 499, 1212, 13, 5112, 11, 433, 753, 892, 311, 30963, 1555, 279, 14646, 5596, 311, 27845, 701, 3465, 627, 4438, 311, 1357, 48945, 459, 1398, 3176, 27047, 198, 849, 3176, 23691, 1212, 449, 459, 20285, 6832, 6156, 5915, 374, 311, 2339, 279, 6742, 753, 6666, 13, 86346, 8736, 5528, 13592, 505, 87068, 4860, 311, 32549, 17637, 13, 9479, 11, 1456, 311, 2802, 701, 6742, 555, 27851, 33018, 701, 8712, 449, 9903, 12518, 13, 4740, 1637, 11, 3493, 264, 17850, 5224, 29385, 4954, 323, 28898, 701, 1925, 4623, 627, 11458, 11, 279, 506, 3176, 17850, 374, 10284, 2204, 505, 1023, 9071, 4595, 1093, 5811, 1413, 477, 7419, 13, 5810, 11, 499, 1541, 1431, 617, 311, 1304, 459, 5811, 477, 1614, 701, 9647, 13, 12361, 11, 21782, 279, 1925, 8712, 11, 2737, 1063, 4092, 2038, 311, 11537, 553, 701, 6742, 449, 279, 1162, 627, 4438, 311, 9842, 81446, 315, 459, 1398, 3176, 27047, 198, 791, 2547, 315, 701, 9071, 374, 311, 3118, 701, 8712, 4184, 311, 701, 17850, 13, 1102, 3629, 17610, 315, 2380, 477, 810, 43743, 13, 5629, 11, 1304, 2771, 499, 3493, 24884, 2038, 311, 23075, 8389, 16296, 13, 5112, 11, 499, 9407, 279, 2547, 323, 923, 1063, 6029, 6108, 1862, 13, 1666, 499, 1253, 387, 2875, 315, 892, 11, 433, 753, 2653, 311, 656, 304, 31410, 3495, 627, 2675, 617, 311, 7124, 279, 8712, 10534, 323, 9687, 555, 499, 11, 304, 420, 1162, 11, 28902, 9539, 323, 304, 264, 20406, 2015, 13, 17830, 11, 6381, 1475, 2547, 14646, 449, 6300, 10105, 627, 4438, 311, 1221, 866, 459, 1398, 3176, 27047, 198, 791, 17102, 315, 459, 506, 3176, 9071, 1421, 2690, 279, 8712, 3094, 555, 3094, 13, 1102, 1288, 539, 3118, 904, 502, 2038, 477, 6029, 719, 4619, 11, 5357, 389, 25695, 709, 279, 6931, 3585, 13, 4718, 17102, 374, 1070, 311, 15411, 709, 279, 9071, 23387, 398, 627, 4438, 311, 9842, 1398, 3176, 27047, 25, 5422, 21387, 198, 38, 1894, 701, 11555, 323, 8881, 323, 5357, 389, 279, 4360, 315, 701, 4477, 13, 10995, 553, 279, 2038, 779, 430, 433, 3727, 5647, 311, 279, 6742, 13, 22991, 279, 8712, 15884, 11, 49189, 505, 701, 506, 3176, 9071, 955, 13, 34011, 23719, 323, 17850, 12518, 1376, 279, 20278, 315, 1148, 499, 1390, 311, 2019, 13, 1102, 374, 1148, 499, 527, 24450, 369, 279, 6742, 311, 1781, 922, 627, 10464, 1401, 32847, 323, 4339, 311, 14497, 832, 4623, 311, 279, 1828, 39511, 13, 9479, 11, 12391, 701, 1162, 449, 10507, 11, 4443, 3217, 11, 323, 6029, 13, 8442, 66343, 323, 1664, 79255, 291, 2038, 649, 8815, 701, 10877, 753, 7422, 13, 2100, 11, 422, 433, 3250, 1431, 8815, 11, 433, 3250, 1431, 2349, 627, 3112, 5616, 11, 3350, 701, 17102, 20193, 11, 312, 1178, 287, 701, 17850, 323, 2361, 13, 4718, 5224, 1288, 11049, 279, 6848, 11, 34692, 11, 323, 10507, 311, 3041, 279, 6742, 2555, 311, 48883, 13, 128001, -100, 3923, 374, 264, 20789, 7057, 430, 374, 11953, 6957, 350, 13, 328, 13, 34362, 354, 596, 330, 791, 10919, 19508, 315, 622, 13, 42592, 2394, 1739, 21161, 1, 5380, 19171, 3041, 1403, 10507, 505, 279, 990, 430, 41468, 420, 7057, 627, 16, 22559, 765, 2758, 98018, 198, 4054, 8792, 323, 20789, 7057, 430, 8640, 6957, 350, 13, 328, 13, 34362, 354, 753, 1054, 791, 10919, 19508, 315, 622, 13, 42592, 2394, 1739, 21161, 863, 374, 430, 315, 1268, 279, 88452, 315, 6617, 8396, 11767, 311, 8850, 323, 27924, 304, 7931, 13, 6104, 304, 9191, 19624, 27833, 11, 5127, 7020, 872, 2035, 323, 1268, 814, 1051, 3685, 311, 16681, 449, 1023, 1274, 11, 304, 279, 60849, 278, 6617, 3363, 315, 7295, 11, 912, 1778, 2847, 62124, 3073, 13, 14636, 2394, 1739, 21161, 374, 15320, 5278, 79155, 535, 323, 36218, 11, 10371, 5678, 1778, 4860, 439, 3508, 568, 1288, 10051, 813, 7013, 264, 3738, 1648, 11, 3508, 568, 1288, 33304, 2610, 264, 5333, 704, 11, 323, 568, 47521, 92113, 264, 7895, 58395, 323, 54862, 14, 10438, 279, 4737, 315, 264, 23211, 323, 15600, 35147, 13, 1102, 374, 420, 6996, 315, 44743, 304, 3674, 323, 16033, 14726, 430, 11705, 279, 3752, 315, 279, 65271, 11, 449, 813, 11102, 2136, 42852, 279, 91342, 367, 315, 279, 6225, 13757, 323, 27700, 1711, 315, 279, 6617, 1917, 627, 12572, 311, 4320, 420, 3488, 198, 12572, 264, 4029, 315, 9214, 315, 12514, 13639, 323, 4236, 23165, 384, 22405, 128001, -100, 83146, 323, 43800, 367, 304, 4606, 198, 2520, 420, 10182, 37736, 11, 4236, 1935, 8554, 304, 264, 9676, 922, 10182, 323, 54832, 315, 4606, 439, 814, 1373, 11, 1243, 4320, 3116, 4860, 922, 62194, 627, 1927, 25987, 220, 6028, 50261, 198, 83146, 323, 43800, 367, 315, 10384, 198, 7229, 11872, 11904, 10182, 323, 54832, 1555, 420, 1495, 11733, 41890, 37736, 13, 61078, 5079, 1373, 922, 1268, 10182, 323, 54832, 7958, 2324, 304, 10384, 11, 1935, 8554, 11, 323, 4320, 220, 19, 62194, 4860, 439, 814, 1373, 279, 6727, 13, 362, 21154, 9522, 21, 339, 482, 220, 23, 339, 9983, 19241, 612, 11346, 198, 3648, 10506, 578, 30508, 9878, 25, 578, 31541, 315, 264, 12517, 315, 19687, 198, 791, 7665, 35011, 3298, 320, 13637, 279, 30508, 9878, 8, 574, 6319, 311, 4546, 3871, 323, 2274, 264, 9090, 315, 23915, 4315, 7665, 17089, 1306, 4435, 5111, 8105, 13, 3308, 3697, 21635, 279, 7384, 505, 279, 30508, 9878, 31324, 323, 8720, 9522, 23, 339, 482, 220, 717, 339, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 4110, 4718, 21189, 14438, 5907, 198, 41672, 31839, 20461, 872, 6677, 315, 54242, 449, 420, 2523, 11, 40806, 3674, 7978, 2447, 13, 22938, 304, 2678, 5315, 11, 4236, 2274, 872, 1633, 1866, 5961, 11, 4477, 28887, 315, 872, 7106, 3813, 11, 3674, 9522, 20, 339, 482, 220, 23, 339, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 3648, 10506, 3962, 82626, 950, 25, 26361, 323, 4149, 1610, 4001, 5783, 4109, 198, 34746, 6696, 505, 220, 5067, 9827, 311, 220, 9591, 15, 9827, 19543, 304, 279, 99359, 315, 1772, 15144, 950, 86569, 11, 279, 14800, 315, 15256, 4028, 1690, 13918, 11, 323, 279, 18874, 315, 9024, 7384, 323, 18699, 6848, 2001, 539, 311, 6420, 279, 9041, 9522, 24, 339, 482, 35321, 3279, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 3648, 10506, 29026, 9454, 25, 96418, 22050, 1171, 11, 423, 3329, 311, 18308, 198, 791, 7493, 315, 29026, 9454, 11, 24658, 77339, 11, 323, 13960, 5929, 41468, 279, 2410, 315, 2911, 311, 1304, 264, 6811, 13, 578, 2380, 18228, 304, 420, 2011, 69584, 5211, 527, 6319, 311, 31740, 3995, 1274, 311, 1304, 264, 6811, 304, 872, 1917, 78928, 21, 339, 482, 220, 24, 339, 6498, 11688, 17979, 13844, 1242, 25, 2467, 391, 2048, 198, 791, 43777, 315, 10884, 20631, 2191, 11, 279, 5256, 315, 4435, 5111, 8105, 323, 279, 2326, 6075, 198, 4438, 1550, 90364, 61911, 11, 304, 7634, 1093, 8524, 11, 15704, 11, 10057, 11, 323, 6457, 11, 2586, 311, 2410, 1306, 4435, 5111, 358, 30, 4718, 3995, 51801, 690, 16136, 304, 264, 503, 88024, 5820, 323, 1243, 24564, 279, 2077, 315, 279, 3723, 4273, 311, 279, 10205, 9522, 605, 339, 482, 220, 717, 339, 9983, 19241, 612, 11346, 13844, 1242, 25, 2467, 391, 2048, 198, 791, 84425, 612, 81398, 315, 4606, 198, 6899, 54358, 270, 7787, 1409, 323, 39319, 11, 420, 15864, 3649, 1690, 13878, 315, 7665, 54242, 323, 63334, 11, 2737, 5933, 5070, 11, 10182, 11, 1948, 5814, 11, 323, 7187, 8141, 13, 1115, 65547, 1053, 387, 459, 9250, 9522, 22, 339, 482, 220, 717, 339, 9983, 19241, 612, 11346, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 16834, 13862, 288, 304, 279, 77129, 198, 5920, 8608, 349, 323, 4430, 551, 42966, 31678, 198, 41299, 11, 5651, 220, 914, 11, 220, 16, 25, 1774, 4235, 17, 25, 1774, 9012, 198, 4812, 25, 10637, 220, 6549, 198, 44, 16034, 527, 6118, 1766, 389, 3674, 3772, 11, 3549, 311, 59229, 264, 4062, 12835, 477, 12192, 264, 13010, 505, 279, 26792, 13, 1115, 15864, 39990, 279, 1005, 315, 62277, 304, 279, 24978, 439, 264, 11326, 753, 5507, 369, 18228, 27886, 477, 264, 6140, 369, 279, 4236, 311, 17210, 311, 279, 5089, 627, 91, 54049, 1873, 25, 8651, 95669, 11, 30169, 6873, 59235, 261, 1608, 22291, 11, 11896, 3772, 35416, 7511, 91, 99368, 2176, 7766, 25, 8651, 41935, 5505, 7511, 91, 99368, 2176, 3756, 26185, 25, 8651, 34917, 4949, 25, 5632, 11, 8682, 11, 16433, 198, 43, 16791, 25, 17669, 2239, 11, 7553, 11, 6812, 198, 2620, 83, 25, 8682, 11, 16433, 11, 5632, 198, 91, 68604, 9815, 11, 3241, 323, 1023, 7384, 25, 8651, 8780, 42285, 9886, 917, 24174, 389, 872, 4641, 477, 7757, 2680, 389, 1023, 7766, 311, 264, 42285, 9886, 3997, 13, 7511, 91, 14139, 25, 8651, 39212, 4325, 12917, 612, 6975, 7511, 91, 27504, 25, 8651, 31844, 1968, 323, 26206, 7526, 7511, 91, 3931, 36, 35653, 25, 8651, 2520, 10355, 3046, 512, 91, 30119, 7872, 25, 8651, 3931, 36, 3229, 15864, 7511, 44, 16034, 527, 6118, 1373, 369, 264, 4062, 12835, 13, 2435, 527, 10015, 13, 2435, 12602, 1057, 6666, 13, 1628, 814, 527, 14090, 1511, 304, 13599, 13, 2030, 1148, 422, 81789, 1436, 387, 1511, 369, 43766, 7645, 5380, 44, 16034, 320, 72239, 20018, 757, 336, 89, 8, 527, 9364, 477, 45543, 11, 6118, 449, 264, 14265, 17703, 323, 1766, 389, 3674, 3772, 11, 1511, 311, 12192, 264, 13010, 505, 279, 26792, 13, 4740, 264, 70946, 10672, 449, 856, 4538, 11, 358, 1047, 279, 40010, 311, 1005, 62277, 439, 459, 16627, 5507, 449, 856, 4236, 13, 25929, 11, 1306, 279, 2450, 315, 1701, 62277, 449, 856, 6989, 11, 358, 6137, 311, 13488, 1023, 3284, 5829, 315, 62277, 304, 1023, 49255, 323, 12239, 5990, 13, 1115, 15864, 690, 2686, 2204, 5829, 315, 62277, 304, 279, 24978, 11, 311, 387, 1511, 15851, 315, 3917, 5030, 11, 12239, 2237, 11, 477, 3756, 13, 578, 1005, 315, 62277, 374, 264, 326, 1108, 1820, 472, 291, 5603, 311, 20599, 3230, 13650, 13, 578, 34899, 323, 279, 22511, 6118, 617, 2523, 35988, 872, 28697, 323, 36666, 8647, 7528, 33779, 627, 2028, 15864, 374, 59547, 7119, 47950, 315, 420, 5557, 323, 5606, 8173, 304, 33018, 264, 2523, 15411, 5352, 5820, 449, 872, 4236, 13, 32406, 62277, 374, 264, 2523, 323, 4382, 5820, 13, 1115, 1920, 374, 4228, 311, 46113, 323, 4430, 449, 701, 18105, 13, 47802, 11, 439, 1664, 439, 4236, 11, 690, 1505, 279, 47701, 907, 315, 6968, 323, 11821, 62277, 439, 264, 6617, 1376, 315, 10758, 323, 22923, 28485, 627, 2059, 13055, 8409, 5770, 320, 24544, 1992, 8, 374, 264, 1561, 16228, 1579, 2978, 38696, 11326, 449, 927, 220, 508, 1667, 315, 3217, 13, 3005, 15662, 1077, 386, 82433, 13, 304, 11326, 11692, 449, 459, 25679, 304, 16627, 5557, 505, 11035, 276, 3907, 13, 3005, 706, 1403, 6946, 3549, 505, 1077, 4236, 529, 37935, 11, 1054, 8991, 386, 3981, 5907, 220, 679, 21, 863, 323, 1054, 8991, 386, 3981, 5907, 220, 679, 22, 2476, 902, 35883, 279, 1005, 315, 62277, 304, 1077, 24978, 323, 279, 28485, 315, 1077, 4236, 13, 4314, 6946, 649, 387, 1766, 389, 1077, 13674, 5613, 320, 39393, 449, 1077, 1690, 659, 27975, 7033, 6946, 705, 520, 8604, 20751, 916, 2971, 15030, 13055, 805, 5770, 627, 75133, 323, 3075, 1924, 198, 791, 7580, 315, 420, 26129, 374, 311, 617, 279, 13324, 1005, 872, 7766, 323, 15596, 1139, 872, 28697, 323, 28485, 320, 64, 8, 311, 1893, 4113, 62277, 11, 320, 65, 8, 1005, 62277, 304, 279, 24978, 311, 18885, 872, 18872, 11, 477, 320, 66, 8, 1893, 264, 2523, 27487, 369, 872, 4236, 311, 3881, 872, 6677, 99732, 398, 323, 28485, 7162, 627, 1688, 279, 842, 315, 420, 15864, 11, 40285, 690, 320, 64, 8, 1440, 1148, 264, 42285, 374, 11, 320, 65, 8, 1893, 62277, 304, 2678, 5315, 555, 93396, 87881, 287, 5370, 62277, 320, 2000, 1005, 304, 2204, 12239, 5990, 14, 65882, 705, 320, 66, 8, 4430, 279, 502, 62277, 449, 279, 34756, 4669, 2613, 11, 323, 320, 67, 8, 1684, 279, 2835, 320, 7266, 3974, 16715, 1701, 555, 279, 40285, 529, 37935, 627, 98982, 1697, 477, 45587, 26323, 2754, 33462, 811, 25, 32406, 62277, 374, 12309, 3428, 42357, 13, 578, 1193, 26457, 1900, 527, 422, 279, 13335, 6900, 264, 11307, 369, 459, 1008, 12862, 2373, 477, 422, 279, 3997, 5039, 10507, 315, 1023, 1274, 753, 62277, 11, 1063, 315, 902, 527, 32599, 369, 264, 15196, 10877, 13, 8745, 287, 10721, 389, 7766, 8469, 315, 892, 2643, 387, 279, 1888, 1648, 311, 5766, 1521, 45105, 35006, 627, 63507, 71678, 25, 8530, 24523, 1271, 263, 11, 422, 40285, 527, 50383, 449, 420, 2068, 13, 18715, 11, 358, 690, 21745, 1268, 311, 1505, 42285, 9886, 10721, 477, 13335, 13, 79873, 5633, 690, 1101, 1005, 872, 2613, 311, 3708, 872, 37935, 323, 13674, 311, 1684, 279, 2835, 584, 690, 1893, 627, 17399, 21445, 291, 25, 358, 690, 617, 3892, 10507, 389, 10888, 311, 1501, 1268, 62277, 649, 387, 1511, 304, 279, 24978, 627, 71504, 35695, 25, 358, 690, 617, 3892, 10507, 311, 1501, 315, 1268, 1023, 13639, 617, 1511, 62277, 304, 279, 24978, 439, 5066, 6807, 477, 2875, 7224, 627, 93702, 315, 13346, 25, 578, 6029, 430, 358, 617, 17454, 374, 304, 279, 1376, 315, 3492, 315, 11013, 505, 3766, 40285, 315, 420, 26129, 320, 43068, 520, 264, 2478, 3279, 34, 14989, 705, 279, 1005, 315, 62277, 505, 18105, 304, 872, 1866, 6989, 449, 872, 1866, 12903, 11, 323, 279, 5117, 8158, 323, 9908, 5439, 430, 617, 22628, 856, 4652, 439, 264, 5211, 627, 2831, 14, 68920, 323, 4212, 198, 64, 13, 10573, 4242, 386, 3981, 5907, 220, 679, 22, 2835, 439, 459, 17219, 439, 1274, 527, 11689, 304, 13, 320, 605, 1332, 340, 5618, 5296, 25, 8519, 17219, 1253, 387, 279, 4242, 386, 3981, 5907, 220, 679, 24, 2835, 11, 311, 387, 4756, 304, 5587, 220, 679, 24, 627, 65, 13, 68072, 1701, 5195, 6995, 3422, 15864, 311, 1501, 279, 1920, 315, 1268, 279, 4623, 315, 1701, 62277, 304, 279, 24978, 3940, 323, 28995, 1139, 11821, 420, 15603, 4669, 856, 358, 59784, 4652, 323, 279, 4242, 386, 3981, 5907, 220, 679, 21, 323, 4242, 386, 3981, 5907, 220, 679, 22, 6946, 13, 320, 508, 1332, 340, 66, 13, 27628, 369, 87881, 287, 449, 279, 1912, 369, 5217, 6848, 315, 1268, 311, 1005, 62277, 304, 279, 24978, 320, 5040, 389, 5195, 61791, 323, 1501, 311, 1912, 369, 20343, 570, 320, 20, 1332, 340, 67, 13, 12522, 40285, 990, 304, 13840, 311, 1893, 4330, 1054, 19045, 863, 62277, 3871, 13, 11244, 62277, 311, 856, 2613, 320, 2386, 36587, 916, 570, 21431, 315, 62277, 311, 387, 14976, 25, 320, 16, 8, 369, 1005, 304, 701, 24978, 11, 320, 17, 8, 369, 1005, 304, 459, 36256, 24978, 11, 320, 18, 8, 369, 1005, 304, 264, 14580, 24978, 11, 320, 19, 8, 369, 1005, 304, 264, 22291, 6574, 11, 323, 320, 20, 8, 1304, 832, 42285, 11, 904, 8712, 11, 1120, 369, 2523, 13, 320, 508, 1332, 340, 68, 13, 6104, 40285, 527, 34194, 872, 37935, 311, 279, 34756, 753, 2613, 11, 279, 34756, 690, 19742, 264, 2835, 3871, 449, 872, 37935, 320, 985, 24523, 1271, 263, 8, 323, 584, 690, 3821, 1057, 2835, 3871, 389, 420, 2068, 13, 8519, 690, 1243, 387, 23700, 311, 279, 34756, 753, 13674, 5613, 311, 387, 19894, 17880, 1306, 279, 26129, 13, 320, 20, 4520, 340, 791, 40285, 690, 617, 264, 6140, 311, 3085, 872, 18726, 1268, 311, 1005, 62277, 304, 279, 24978, 323, 584, 690, 4430, 433, 449, 279, 1912, 449, 5195, 22452, 13, 79873, 5633, 690, 1101, 617, 264, 6140, 311, 990, 449, 264, 8427, 311, 87881, 323, 1893, 4330, 62277, 389, 872, 3756, 11, 902, 690, 387, 6222, 449, 279, 1912, 323, 23700, 2930, 369, 279, 586, 311, 1518, 627, 2746, 856, 15864, 374, 12146, 439, 264, 23163, 11, 358, 690, 617, 264, 21288, 449, 264, 2835, 5737, 315, 856, 7033, 42285, 7224, 6946, 323, 856, 65547, 15864, 389, 6471, 13, 358, 690, 1101, 617, 17124, 2653, 11236, 315, 279, 42285, 10507, 67908, 1268, 311, 1005, 62277, 304, 264, 8205, 315, 24978, 12239, 5990, 14, 65882, 13, 358, 690, 1101, 387, 1070, 449, 856, 11230, 17743, 627, 34013, 4620, 11, 350, 13, 320, 679, 23, 11, 7552, 220, 1591, 570, 68573, 596, 17829, 19513, 13, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 3788, 1129, 2185, 516, 6518, 916, 14, 19, 2642, 8050, 2442, 56182, 1355, 42357, 93780, 198, 43, 710, 783, 11, 386, 13, 320, 679, 22, 11, 7552, 220, 2545, 570, 7557, 264, 386, 3981, 1131, 8238, 264, 56180, 0, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 1795, 1129, 77, 641, 82, 2407, 24011, 2726, 14, 679, 22, 14, 2437, 14, 2705, 3262, 3981, 6018, 32845, 5770, 11, 328, 13, 320, 679, 23, 11, 7552, 220, 508, 570, 220, 20, 5627, 311, 1005, 62277, 449, 4236, 13, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 3788, 1129, 2185, 13, 17194, 2726, 66559, 20763, 39281, 10876, 30, 7203, 307, 28, 23805, 198, 24798, 279, 43771, 315, 32495, 21023, 25, 8595, 13862, 288, 323, 45377, 8886, 8489, 17360, 1639, 497, 320, 77, 962, 6266, 871, 791, 3658, 11896, 13, 320, 679, 19, 570, 58891, 17907, 220, 1627, 220, 679, 23, 505, 3788, 1129, 2185, 13991, 830, 265, 301, 28766, 916, 14, 24798, 10, 1820, 10, 99205, 10, 1073, 10, 59552, 10, 26896, 4, 18, 64, 10, 10445, 10, 44, 16034, 10, 438, 10, 6777, 12092, 10, 11787, 10, 11649, 1131, 12, 64, 24130, 9674, 24887, 16, 198, 16834, 62277, 439, 264, 5507, 13, 320, 679, 22, 11, 7552, 220, 868, 570, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 3788, 1129, 2202, 11788, 82, 516, 18, 29871, 916, 98190, 14, 10053, 38273, 291, 2517, 14, 20360, 1272, 14, 2407, 24011, 33585, 9638, 54440, 22, 16378, 198, 2059, 13055, 8409, 5770, 374, 264, 1561, 16228, 1579, 2978, 38696, 11326, 449, 927, 220, 508, 1667, 315, 3217, 13, 3005, 15662, 1077, 386, 82433, 13, 304, 11326, 11692, 449, 459, 25679, 304, 16627, 5557, 505, 11035, 276, 3907, 13, 8409, 5770, 6267, 279, 358, 59784, 4652, 1054, 20, 5627, 311, 1005, 42285, 449, 4236, 863, 320, 29986, 6790, 220, 17, 11, 220, 679, 21, 11, 6177, 7552, 220, 508, 11, 220, 679, 23, 570, 1115, 4652, 574, 1101, 5343, 304, 358, 59784, 753, 17009, 3279, 18261, 369, 279, 735, 12, 717, 77129, 320, 679, 23, 570, 5321, 4034, 1077, 13674, 5613, 520, 8604, 20751, 916, 2971, 15030, 13055, 805, 5770, 477, 1833, 1077, 389, 6405, 571, 50329, 32845, 5770, 13, 128001 ]
[ -100, 16834, 13862, 288, 304, 279, 77129, 198, 5920, 8608, 349, 323, 4430, 551, 42966, 31678, 198, 41299, 11, 5651, 220, 914, 11, 220, 16, 25, 1774, 4235, 17, 25, 1774, 9012, 198, 4812, 25, 10637, 220, 6549, 198, 44, 16034, 527, 6118, 1766, 389, 3674, 3772, 11, 3549, 311, 59229, 264, 4062, 12835, 477, 12192, 264, 13010, 505, 279, 26792, 13, 1115, 15864, 39990, 279, 1005, 315, 62277, 304, 279, 24978, 439, 264, 11326, 753, 5507, 369, 18228, 27886, 477, 264, 6140, 369, 279, 4236, 311, 17210, 311, 279, 5089, 627, 91, 54049, 1873, 25, 8651, 95669, 11, 30169, 6873, 59235, 261, 1608, 22291, 11, 11896, 3772, 35416, 7511, 91, 99368, 2176, 7766, 25, 8651, 41935, 5505, 7511, 91, 99368, 2176, 3756, 26185, 25, 8651, 34917, 4949, 25, 5632, 11, 8682, 11, 16433, 198, 43, 16791, 25, 17669, 2239, 11, 7553, 11, 6812, 198, 2620, 83, 25, 8682, 11, 16433, 11, 5632, 198, 91, 68604, 9815, 11, 3241, 323, 1023, 7384, 25, 8651, 8780, 42285, 9886, 917, 24174, 389, 872, 4641, 477, 7757, 2680, 389, 1023, 7766, 311, 264, 42285, 9886, 3997, 13, 7511, 91, 14139, 25, 8651, 39212, 4325, 12917, 612, 6975, 7511, 91, 27504, 25, 8651, 31844, 1968, 323, 26206, 7526, 7511, 91, 3931, 36, 35653, 25, 8651, 2520, 10355, 3046, 512, 91, 30119, 7872, 25, 8651, 3931, 36, 3229, 15864, 7511, 44, 16034, 527, 6118, 1373, 369, 264, 4062, 12835, 13, 2435, 527, 10015, 13, 2435, 12602, 1057, 6666, 13, 1628, 814, 527, 14090, 1511, 304, 13599, 13, 2030, 1148, 422, 81789, 1436, 387, 1511, 369, 43766, 7645, 5380, 44, 16034, 320, 72239, 20018, 757, 336, 89, 8, 527, 9364, 477, 45543, 11, 6118, 449, 264, 14265, 17703, 323, 1766, 389, 3674, 3772, 11, 1511, 311, 12192, 264, 13010, 505, 279, 26792, 13, 4740, 264, 70946, 10672, 449, 856, 4538, 11, 358, 1047, 279, 40010, 311, 1005, 62277, 439, 459, 16627, 5507, 449, 856, 4236, 13, 25929, 11, 1306, 279, 2450, 315, 1701, 62277, 449, 856, 6989, 11, 358, 6137, 311, 13488, 1023, 3284, 5829, 315, 62277, 304, 1023, 49255, 323, 12239, 5990, 13, 1115, 15864, 690, 2686, 2204, 5829, 315, 62277, 304, 279, 24978, 11, 311, 387, 1511, 15851, 315, 3917, 5030, 11, 12239, 2237, 11, 477, 3756, 13, 578, 1005, 315, 62277, 374, 264, 326, 1108, 1820, 472, 291, 5603, 311, 20599, 3230, 13650, 13, 578, 34899, 323, 279, 22511, 6118, 617, 2523, 35988, 872, 28697, 323, 36666, 8647, 7528, 33779, 627, 2028, 15864, 374, 59547, 7119, 47950, 315, 420, 5557, 323, 5606, 8173, 304, 33018, 264, 2523, 15411, 5352, 5820, 449, 872, 4236, 13, 32406, 62277, 374, 264, 2523, 323, 4382, 5820, 13, 1115, 1920, 374, 4228, 311, 46113, 323, 4430, 449, 701, 18105, 13, 47802, 11, 439, 1664, 439, 4236, 11, 690, 1505, 279, 47701, 907, 315, 6968, 323, 11821, 62277, 439, 264, 6617, 1376, 315, 10758, 323, 22923, 28485, 627, 2059, 13055, 8409, 5770, 320, 24544, 1992, 8, 374, 264, 1561, 16228, 1579, 2978, 38696, 11326, 449, 927, 220, 508, 1667, 315, 3217, 13, 3005, 15662, 1077, 386, 82433, 13, 304, 11326, 11692, 449, 459, 25679, 304, 16627, 5557, 505, 11035, 276, 3907, 13, 3005, 706, 1403, 6946, 3549, 505, 1077, 4236, 529, 37935, 11, 1054, 8991, 386, 3981, 5907, 220, 679, 21, 863, 323, 1054, 8991, 386, 3981, 5907, 220, 679, 22, 2476, 902, 35883, 279, 1005, 315, 62277, 304, 1077, 24978, 323, 279, 28485, 315, 1077, 4236, 13, 4314, 6946, 649, 387, 1766, 389, 1077, 13674, 5613, 320, 39393, 449, 1077, 1690, 659, 27975, 7033, 6946, 705, 520, 8604, 20751, 916, 2971, 15030, 13055, 805, 5770, 627, 75133, 323, 3075, 1924, 198, 791, 7580, 315, 420, 26129, 374, 311, 617, 279, 13324, 1005, 872, 7766, 323, 15596, 1139, 872, 28697, 323, 28485, 320, 64, 8, 311, 1893, 4113, 62277, 11, 320, 65, 8, 1005, 62277, 304, 279, 24978, 311, 18885, 872, 18872, 11, 477, 320, 66, 8, 1893, 264, 2523, 27487, 369, 872, 4236, 311, 3881, 872, 6677, 99732, 398, 323, 28485, 7162, 627, 1688, 279, 842, 315, 420, 15864, 11, 40285, 690, 320, 64, 8, 1440, 1148, 264, 42285, 374, 11, 320, 65, 8, 1893, 62277, 304, 2678, 5315, 555, 93396, 87881, 287, 5370, 62277, 320, 2000, 1005, 304, 2204, 12239, 5990, 14, 65882, 705, 320, 66, 8, 4430, 279, 502, 62277, 449, 279, 34756, 4669, 2613, 11, 323, 320, 67, 8, 1684, 279, 2835, 320, 7266, 3974, 16715, 1701, 555, 279, 40285, 529, 37935, 627, 98982, 1697, 477, 45587, 26323, 2754, 33462, 811, 25, 32406, 62277, 374, 12309, 3428, 42357, 13, 578, 1193, 26457, 1900, 527, 422, 279, 13335, 6900, 264, 11307, 369, 459, 1008, 12862, 2373, 477, 422, 279, 3997, 5039, 10507, 315, 1023, 1274, 753, 62277, 11, 1063, 315, 902, 527, 32599, 369, 264, 15196, 10877, 13, 8745, 287, 10721, 389, 7766, 8469, 315, 892, 2643, 387, 279, 1888, 1648, 311, 5766, 1521, 45105, 35006, 627, 63507, 71678, 25, 8530, 24523, 1271, 263, 11, 422, 40285, 527, 50383, 449, 420, 2068, 13, 18715, 11, 358, 690, 21745, 1268, 311, 1505, 42285, 9886, 10721, 477, 13335, 13, 79873, 5633, 690, 1101, 1005, 872, 2613, 311, 3708, 872, 37935, 323, 13674, 311, 1684, 279, 2835, 584, 690, 1893, 627, 17399, 21445, 291, 25, 358, 690, 617, 3892, 10507, 389, 10888, 311, 1501, 1268, 62277, 649, 387, 1511, 304, 279, 24978, 627, 71504, 35695, 25, 358, 690, 617, 3892, 10507, 311, 1501, 315, 1268, 1023, 13639, 617, 1511, 62277, 304, 279, 24978, 439, 5066, 6807, 477, 2875, 7224, 627, 93702, 315, 13346, 25, 578, 6029, 430, 358, 617, 17454, 374, 304, 279, 1376, 315, 3492, 315, 11013, 505, 3766, 40285, 315, 420, 26129, 320, 43068, 520, 264, 2478, 3279, 34, 14989, 705, 279, 1005, 315, 62277, 505, 18105, 304, 872, 1866, 6989, 449, 872, 1866, 12903, 11, 323, 279, 5117, 8158, 323, 9908, 5439, 430, 617, 22628, 856, 4652, 439, 264, 5211, 627, 2831, 14, 68920, 323, 4212, 198, 64, 13, 10573, 4242, 386, 3981, 5907, 220, 679, 22, 2835, 439, 459, 17219, 439, 1274, 527, 11689, 304, 13, 320, 605, 1332, 340, 5618, 5296, 25, 8519, 17219, 1253, 387, 279, 4242, 386, 3981, 5907, 220, 679, 24, 2835, 11, 311, 387, 4756, 304, 5587, 220, 679, 24, 627, 65, 13, 68072, 1701, 5195, 6995, 3422, 15864, 311, 1501, 279, 1920, 315, 1268, 279, 4623, 315, 1701, 62277, 304, 279, 24978, 3940, 323, 28995, 1139, 11821, 420, 15603, 4669, 856, 358, 59784, 4652, 323, 279, 4242, 386, 3981, 5907, 220, 679, 21, 323, 4242, 386, 3981, 5907, 220, 679, 22, 6946, 13, 320, 508, 1332, 340, 66, 13, 27628, 369, 87881, 287, 449, 279, 1912, 369, 5217, 6848, 315, 1268, 311, 1005, 62277, 304, 279, 24978, 320, 5040, 389, 5195, 61791, 323, 1501, 311, 1912, 369, 20343, 570, 320, 20, 1332, 340, 67, 13, 12522, 40285, 990, 304, 13840, 311, 1893, 4330, 1054, 19045, 863, 62277, 3871, 13, 11244, 62277, 311, 856, 2613, 320, 2386, 36587, 916, 570, 21431, 315, 62277, 311, 387, 14976, 25, 320, 16, 8, 369, 1005, 304, 701, 24978, 11, 320, 17, 8, 369, 1005, 304, 459, 36256, 24978, 11, 320, 18, 8, 369, 1005, 304, 264, 14580, 24978, 11, 320, 19, 8, 369, 1005, 304, 264, 22291, 6574, 11, 323, 320, 20, 8, 1304, 832, 42285, 11, 904, 8712, 11, 1120, 369, 2523, 13, 320, 508, 1332, 340, 68, 13, 6104, 40285, 527, 34194, 872, 37935, 311, 279, 34756, 753, 2613, 11, 279, 34756, 690, 19742, 264, 2835, 3871, 449, 872, 37935, 320, 985, 24523, 1271, 263, 8, 323, 584, 690, 3821, 1057, 2835, 3871, 389, 420, 2068, 13, 8519, 690, 1243, 387, 23700, 311, 279, 34756, 753, 13674, 5613, 311, 387, 19894, 17880, 1306, 279, 26129, 13, 320, 20, 4520, 340, 791, 40285, 690, 617, 264, 6140, 311, 3085, 872, 18726, 1268, 311, 1005, 62277, 304, 279, 24978, 323, 584, 690, 4430, 433, 449, 279, 1912, 449, 5195, 22452, 13, 79873, 5633, 690, 1101, 617, 264, 6140, 311, 990, 449, 264, 8427, 311, 87881, 323, 1893, 4330, 62277, 389, 872, 3756, 11, 902, 690, 387, 6222, 449, 279, 1912, 323, 23700, 2930, 369, 279, 586, 311, 1518, 627, 2746, 856, 15864, 374, 12146, 439, 264, 23163, 11, 358, 690, 617, 264, 21288, 449, 264, 2835, 5737, 315, 856, 7033, 42285, 7224, 6946, 323, 856, 65547, 15864, 389, 6471, 13, 358, 690, 1101, 617, 17124, 2653, 11236, 315, 279, 42285, 10507, 67908, 1268, 311, 1005, 62277, 304, 264, 8205, 315, 24978, 12239, 5990, 14, 65882, 13, 358, 690, 1101, 387, 1070, 449, 856, 11230, 17743, 627, 34013, 4620, 11, 350, 13, 320, 679, 23, 11, 7552, 220, 1591, 570, 68573, 596, 17829, 19513, 13, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 3788, 1129, 2185, 516, 6518, 916, 14, 19, 2642, 8050, 2442, 56182, 1355, 42357, 93780, 198, 43, 710, 783, 11, 386, 13, 320, 679, 22, 11, 7552, 220, 2545, 570, 7557, 264, 386, 3981, 1131, 8238, 264, 56180, 0, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 1795, 1129, 77, 641, 82, 2407, 24011, 2726, 14, 679, 22, 14, 2437, 14, 2705, 3262, 3981, 6018, 32845, 5770, 11, 328, 13, 320, 679, 23, 11, 7552, 220, 508, 570, 220, 20, 5627, 311, 1005, 62277, 449, 4236, 13, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 3788, 1129, 2185, 13, 17194, 2726, 66559, 20763, 39281, 10876, 30, 7203, 307, 28, 23805, 198, 24798, 279, 43771, 315, 32495, 21023, 25, 8595, 13862, 288, 323, 45377, 8886, 8489, 17360, 1639, 497, 320, 77, 962, 6266, 871, 791, 3658, 11896, 13, 320, 679, 19, 570, 58891, 17907, 220, 1627, 220, 679, 23, 505, 3788, 1129, 2185, 13991, 830, 265, 301, 28766, 916, 14, 24798, 10, 1820, 10, 99205, 10, 1073, 10, 59552, 10, 26896, 4, 18, 64, 10, 10445, 10, 44, 16034, 10, 438, 10, 6777, 12092, 10, 11787, 10, 11649, 1131, 12, 64, 24130, 9674, 24887, 16, 198, 16834, 62277, 439, 264, 5507, 13, 320, 679, 22, 11, 7552, 220, 868, 570, 58891, 6250, 220, 1627, 11, 220, 679, 23, 11, 505, 3788, 1129, 2202, 11788, 82, 516, 18, 29871, 916, 98190, 14, 10053, 38273, 291, 2517, 14, 20360, 1272, 14, 2407, 24011, 33585, 9638, 54440, 22, 16378, 198, 2059, 13055, 8409, 5770, 374, 264, 1561, 16228, 1579, 2978, 38696, 11326, 449, 927, 220, 508, 1667, 315, 3217, 13, 3005, 15662, 1077, 386, 82433, 13, 304, 11326, 11692, 449, 459, 25679, 304, 16627, 5557, 505, 11035, 276, 3907, 13, 8409, 5770, 6267, 279, 358, 59784, 4652, 1054, 20, 5627, 311, 1005, 42285, 449, 4236, 863, 320, 29986, 6790, 220, 17, 11, 220, 679, 21, 11, 6177, 7552, 220, 508, 11, 220, 679, 23, 570, 1115, 4652, 574, 1101, 5343, 304, 358, 59784, 753, 17009, 3279, 18261, 369, 279, 735, 12, 717, 77129, 320, 679, 23, 570, 5321, 4034, 1077, 13674, 5613, 520, 8604, 20751, 916, 2971, 15030, 13055, 805, 5770, 477, 1833, 1077, 389, 6405, 571, 50329, 32845, 5770, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812 ]
[ 128000, 791, 65863, 288, 857, 5091, 4364, 15, 26065, 20, 374, 6206, 15220, 832, 315, 279, 1455, 5526, 85746, 76915, 389, 279, 3157, 3432, 11, 323, 279, 2883, 706, 2884, 264, 2294, 2683, 304, 68366, 279, 3157, 13, 1472, 636, 264, 1633, 3544, 11, 33236, 18496, 11, 24783, 26308, 15194, 323, 5536, 18189, 26168, 68260, 311, 30437, 8631, 389, 279, 35358, 627, 39716, 481, 22147, 551, 220, 1644, 13, 20, 1, 311, 220, 4103, 13, 20, 702, 24514, 25650, 14908, 551, 220, 1987, 1, 477, 220, 2166, 702, 34, 1136, 290, 287, 1887, 551, 7566, 13, 220, 21, 67261, 1443, 26246, 627, 54, 44290, 551, 65452, 369, 4124, 11, 220, 18, 1667, 369, 9048, 11, 220, 17, 1667, 369, 5596, 323, 220, 16, 1060, 369, 9511, 627, 791, 9601, 12768, 5091, 4364, 15, 9607, 51, 20, 85746, 4131, 35105, 1314, 704, 422, 279, 3830, 11, 323, 279, 18496, 5196, 374, 12309, 4228, 311, 2231, 3871, 627, 19118, 6261, 922, 4376, 459, 6596, 3830, 311, 5644, 311, 1005, 627, 2028, 85746, 1587, 1397, 54494, 367, 1475, 2478, 4038, 11, 1524, 422, 499, 1541, 1431, 1005, 433, 1790, 13, 7473, 374, 1633, 4228, 4869, 627, 791, 11415, 315, 279, 5091, 4364, 15, 26065, 20, 2393, 374, 539, 14647, 279, 20057, 315, 1373, 11934, 12, 6138, 31796, 11, 25247, 27724, 11, 892, 499, 4070, 1027, 3318, 704, 323, 7504, 499, 4070, 4529, 11, 433, 753, 539, 1524, 279, 12706, 11, 902, 527, 682, 5128, 6913, 627, 65002, 11, 433, 753, 279, 6573, 8246, 11, 279, 17251, 3686, 16003, 2955, 11, 323, 279, 14553, 315, 1005, 627, 2028, 5918, 304, 7296, 4668, 6276, 499, 311, 3094, 1022, 279, 85746, 19671, 520, 904, 892, 2391, 701, 26308, 13, 578, 19671, 690, 22571, 3009, 902, 690, 2567, 5326, 315, 11134, 311, 264, 8187, 627, 2028, 374, 264, 2294, 4668, 902, 584, 527, 2216, 1139, 13, 18156, 584, 5042, 4774, 264, 6555, 4321, 520, 264, 4725, 18338, 11, 719, 584, 1101, 1390, 311, 617, 459, 13687, 11, 3335, 481, 11302, 389, 1057, 5178, 11, 779, 3515, 264, 1887, 430, 14921, 701, 7504, 4184, 311, 701, 4785, 11, 11689, 1742, 323, 18338, 323, 1101, 10648, 17910, 11621, 2500, 8935, 311, 420, 2736, 15525, 5780, 627, 32, 4668, 430, 374, 439, 3062, 439, 279, 8987, 14523, 28614, 13, 8595, 8493, 3300, 389, 264, 18496, 85746, 422, 499, 649, 1431, 7652, 433, 311, 1304, 6261, 810, 10882, 5380, 7283, 505, 220, 19, 529, 605, 863, 311, 220, 21, 529, 23, 22308, 649, 6847, 1304, 279, 1455, 704, 315, 26065, 20, 11, 43468, 433, 439, 1790, 439, 814, 4587, 323, 279, 17963, 2007, 690, 7293, 11633, 1752, 627, 3112, 1618, 753, 279, 87276, 25, 279, 17963, 4124, 374, 539, 12673, 311, 279, 85746, 1981, 18275, 2740, 499, 1541, 1431, 617, 311, 11196, 922, 701, 6500, 11, 701, 23185, 11, 701, 7172, 1606, 814, 690, 539, 387, 11754, 555, 279, 7351, 315, 85746, 627, 2675, 649, 1431, 990, 304, 459, 5274, 430, 3250, 1431, 617, 24783, 11, 649, 499, 30, 1561, 24783, 23099, 6276, 499, 311, 3839, 701, 46944, 5042, 555, 64211, 499, 7941, 4641, 927, 279, 26065, 20, 627, 7184, 499, 649, 2567, 23204, 389, 701, 5208, 323, 1524, 4430, 701, 3135, 389, 3674, 3772, 477, 449, 3070, 323, 4885, 627, 2028, 374, 459, 80415, 5225, 430, 97689, 279, 1217, 994, 4442, 527, 1694, 1903, 1778, 439, 279, 1212, 315, 279, 85746, 477, 4732, 34074, 627, 61346, 2231, 11, 279, 26065, 20, 374, 574, 2500, 12845, 369, 65863, 288, 857, 11, 323, 374, 1057, 7075, 315, 279, 5091, 4364, 15, 9607, 51, 11378, 627, 2170, 1690, 315, 499, 13016, 4762, 656, 11, 584, 990, 505, 2162, 11, 779, 3515, 279, 6776, 311, 1935, 682, 315, 1057, 6880, 11, 955, 682, 315, 1057, 14633, 323, 656, 1057, 13326, 1816, 1418, 11689, 374, 1093, 264, 8063, 2586, 837, 627, 2409, 779, 1690, 9256, 311, 2804, 11, 433, 753, 539, 55588, 311, 5895, 25, 649, 420, 85746, 3604, 6493, 779, 1790, 24617, 30, 578, 8206, 374, 433, 649, 13, 578, 17963, 7479, 374, 653, 31061, 481, 11, 779, 279, 12474, 8815, 315, 420, 85746, 1288, 387, 3325, 315, 701, 38145, 627, 2181, 753, 264, 8987, 14523, 7479, 1101, 11, 9093, 4205, 499, 1205, 389, 701, 18496, 11, 2737, 701, 7075, 73585, 11033, 11, 499, 649, 617, 433, 323, 2646, 11196, 922, 20334, 627, 2181, 753, 264, 2294, 3245, 430, 3932, 505, 220, 19, 529, 605, 863, 311, 220, 21, 529, 23, 22308, 649, 69704, 8935, 505, 682, 279, 4519, 420, 85746, 706, 311, 3085, 11, 323, 499, 1541, 1431, 2216, 617, 311, 387, 8010, 315, 4395, 520, 904, 892, 627, 3923, 358, 3152, 555, 420, 374, 430, 832, 1253, 636, 779, 1139, 8996, 20846, 499, 3207, 4477, 477, 279, 1455, 3062, 4641, 1650, 315, 279, 2046, 430, 499, 1253, 10894, 499, 527, 304, 2144, 389, 264, 83679, 7479, 11, 779, 33788, 1253, 3621, 11, 15319, 1253, 12446, 11, 719, 539, 389, 279, 26065, 20, 4245, 311, 459, 15416, 1260, 1887, 430, 30350, 499, 1475, 892, 279, 19671, 18417, 477, 4732, 374, 24257, 627, 35078, 704, 389, 26065, 20, 706, 1027, 264, 2294, 3217, 25, 499, 649, 3604, 636, 682, 701, 990, 2884, 1418, 3794, 264, 6573, 26308, 304, 13, 1102, 753, 2085, 264, 10712, 832, 315, 279, 1888, 85746, 76915, 389, 279, 3157, 3432, 627, 128001, 128000, 791, 11586, 20069, 5867, 5141, 5907, 6137, 304, 7008, 323, 304, 9635, 439, 264, 40806, 1162, 4007, 304, 279, 3674, 3925, 323, 15207, 80378, 315, 66089, 34457, 991, 5141, 323, 15443, 13, 9636, 279, 55531, 315, 279, 4948, 48510, 315, 39175, 1864, 546, 11, 279, 11586, 20069, 991, 18303, 1051, 264, 23649, 3187, 315, 29759, 39061, 991, 5141, 627, 5733, 11330, 5867, 5141, 311, 31714, 7008, 198, 4881, 279, 8336, 315, 64729, 323, 3109, 311, 13713, 349, 279, 991, 5141, 315, 1063, 220, 16, 11, 4728, 991, 71336, 505, 70608, 323, 3221, 14656, 6498, 31276, 311, 31714, 7008, 320, 67403, 3370, 8, 1990, 220, 10750, 17, 323, 220, 10750, 22, 13, 6498, 15695, 57119, 83426, 198, 413, 82, 311, 279, 991, 71336, 323, 279, 12197, 814, 6267, 23524, 872, 2324, 19308, 60485, 11429, 323, 872, 502, 6439, 304, 7008, 627, 24798, 48345, 11, 279, 2447, 706, 4529, 502, 18445, 311, 1833, 1403, 1274, 889, 16392, 505, 39612, 67482, 1555, 872, 13537, 449, 279, 4948, 48510, 315, 39175, 1864, 546, 323, 11586, 20069, 4783, 627, 85203, 356, 1751, 1154, 323, 84349, 11165, 2492, 198, 19070, 82, 279, 2539, 2324, 315, 11355, 21628, 83, 11, 279, 312, 5009, 315, 11586, 20069, 323, 279, 893, 4920, 279, 48510, 753, 11586, 20069, 5867, 5141, 10554, 13, 21393, 7695, 535, 11, 39175, 1864, 546, 753, 4605, 434, 198, 300, 279, 66194, 11, 323, 9778, 279, 7555, 11, 315, 279, 220, 18, 6634, 48510, 31408, 304, 279, 8396, 315, 13820, 11, 14248, 11, 323, 9526, 388, 304, 30029, 889, 6297, 16243, 11586, 20069, 4783, 627, 2028, 3997, 5764, 39005, 323, 8167, 288, 6319, 311, 12576, 15207, 32051, 1705, 8173, 304, 11586, 20069, 991, 71336, 323, 872, 49446, 315, 279, 1176, 9659, 627, 791, 12283, 5938, 449, 420, 2447, 86454, 3725, 25670, 20941, 22653, 7762, 1543, 323, 279, 7762, 1543, 5114, 889, 617, 7396, 872, 990, 505, 279, 54529, 315, 279, 11586, 20069, 2447, 13, 128001, 128000, 40, 574, 2163, 1618, 555, 37219, 304, 279, 4216, 220, 1399, 596, 13, 2435, 3309, 757, 814, 1051, 1120, 16706, 927, 311, 279, 44409, 1887, 311, 11894, 1063, 19116, 292, 2298, 1122, 12704, 268, 323, 264, 3854, 315, 1554, 8099, 11, 719, 814, 2646, 3782, 1203, 13, 2100, 11, 1618, 358, 40609, 11, 264, 20792, 2085, 20136, 11, 1344, 801, 4776, 304, 264, 1917, 23490, 8208, 13088, 13, 1628, 11, 1418, 358, 3463, 358, 1047, 420, 3823, 3245, 25720, 704, 11, 4400, 374, 3339, 1790, 5647, 904, 810, 13, 2057, 10677, 11, 358, 2846, 304, 264, 15234, 502, 3363, 11, 2085, 3070, 477, 4885, 2949, 264, 16579, 8931, 13, 358, 9167, 956, 6612, 279, 5916, 315, 264, 5333, 304, 5129, 1109, 358, 649, 6227, 11, 323, 430, 3727, 757, 2733, 779, 1633, 7636, 11, 779, 1633, 29213, 11, 323, 779, 1633, 12703, 13, 128001, 128000, 9679, 4883, 16967, 374, 13375, 555, 6160, 22012, 1701, 2115, 24654, 323, 15194, 279, 20229, 449, 9063, 62137, 13, 9176, 20229, 389, 279, 14850, 527, 76981, 3847, 449, 264, 9063, 62210, 13, 12362, 41032, 7241, 11, 6160, 22012, 3839, 279, 8450, 9124, 555, 279, 62210, 627, 791, 1589, 14997, 527, 1101, 76981, 3847, 449, 28296, 2531, 21562, 13, 17366, 28559, 527, 5016, 311, 420, 12224, 323, 2187, 279, 20229, 311, 387, 11054, 505, 264, 6138, 627, 791, 2038, 12457, 1555, 16967, 323, 15194, 374, 2231, 304, 264, 14850, 828, 2385, 323, 5825, 43775, 311, 39646, 1005, 11, 67810, 11, 20237, 7969, 11, 5353, 315, 29528, 11, 323, 1690, 1023, 13878, 315, 2254, 74047, 2324, 13, 128001 ]
[ -100, 791, 65863, 288, 857, 5091, 4364, 15, 26065, 20, 374, 6206, 15220, 832, 315, 279, 1455, 5526, 85746, 76915, 389, 279, 3157, 3432, 11, 323, 279, 2883, 706, 2884, 264, 2294, 2683, 304, 68366, 279, 3157, 13, 1472, 636, 264, 1633, 3544, 11, 33236, 18496, 11, 24783, 26308, 15194, 323, 5536, 18189, 26168, 68260, 311, 30437, 8631, 389, 279, 35358, 627, 39716, 481, 22147, 551, 220, 1644, 13, 20, 1, 311, 220, 4103, 13, 20, 702, 24514, 25650, 14908, 551, 220, 1987, 1, 477, 220, 2166, 702, 34, 1136, 290, 287, 1887, 551, 7566, 13, 220, 21, 67261, 1443, 26246, 627, 54, 44290, 551, 65452, 369, 4124, 11, 220, 18, 1667, 369, 9048, 11, 220, 17, 1667, 369, 5596, 323, 220, 16, 1060, 369, 9511, 627, 791, 9601, 12768, 5091, 4364, 15, 9607, 51, 20, 85746, 4131, 35105, 1314, 704, 422, 279, 3830, 11, 323, 279, 18496, 5196, 374, 12309, 4228, 311, 2231, 3871, 627, 19118, 6261, 922, 4376, 459, 6596, 3830, 311, 5644, 311, 1005, 627, 2028, 85746, 1587, 1397, 54494, 367, 1475, 2478, 4038, 11, 1524, 422, 499, 1541, 1431, 1005, 433, 1790, 13, 7473, 374, 1633, 4228, 4869, 627, 791, 11415, 315, 279, 5091, 4364, 15, 26065, 20, 2393, 374, 539, 14647, 279, 20057, 315, 1373, 11934, 12, 6138, 31796, 11, 25247, 27724, 11, 892, 499, 4070, 1027, 3318, 704, 323, 7504, 499, 4070, 4529, 11, 433, 753, 539, 1524, 279, 12706, 11, 902, 527, 682, 5128, 6913, 627, 65002, 11, 433, 753, 279, 6573, 8246, 11, 279, 17251, 3686, 16003, 2955, 11, 323, 279, 14553, 315, 1005, 627, 2028, 5918, 304, 7296, 4668, 6276, 499, 311, 3094, 1022, 279, 85746, 19671, 520, 904, 892, 2391, 701, 26308, 13, 578, 19671, 690, 22571, 3009, 902, 690, 2567, 5326, 315, 11134, 311, 264, 8187, 627, 2028, 374, 264, 2294, 4668, 902, 584, 527, 2216, 1139, 13, 18156, 584, 5042, 4774, 264, 6555, 4321, 520, 264, 4725, 18338, 11, 719, 584, 1101, 1390, 311, 617, 459, 13687, 11, 3335, 481, 11302, 389, 1057, 5178, 11, 779, 3515, 264, 1887, 430, 14921, 701, 7504, 4184, 311, 701, 4785, 11, 11689, 1742, 323, 18338, 323, 1101, 10648, 17910, 11621, 2500, 8935, 311, 420, 2736, 15525, 5780, 627, 32, 4668, 430, 374, 439, 3062, 439, 279, 8987, 14523, 28614, 13, 8595, 8493, 3300, 389, 264, 18496, 85746, 422, 499, 649, 1431, 7652, 433, 311, 1304, 6261, 810, 10882, 5380, 7283, 505, 220, 19, 529, 605, 863, 311, 220, 21, 529, 23, 22308, 649, 6847, 1304, 279, 1455, 704, 315, 26065, 20, 11, 43468, 433, 439, 1790, 439, 814, 4587, 323, 279, 17963, 2007, 690, 7293, 11633, 1752, 627, 3112, 1618, 753, 279, 87276, 25, 279, 17963, 4124, 374, 539, 12673, 311, 279, 85746, 1981, 18275, 2740, 499, 1541, 1431, 617, 311, 11196, 922, 701, 6500, 11, 701, 23185, 11, 701, 7172, 1606, 814, 690, 539, 387, 11754, 555, 279, 7351, 315, 85746, 627, 2675, 649, 1431, 990, 304, 459, 5274, 430, 3250, 1431, 617, 24783, 11, 649, 499, 30, 1561, 24783, 23099, 6276, 499, 311, 3839, 701, 46944, 5042, 555, 64211, 499, 7941, 4641, 927, 279, 26065, 20, 627, 7184, 499, 649, 2567, 23204, 389, 701, 5208, 323, 1524, 4430, 701, 3135, 389, 3674, 3772, 477, 449, 3070, 323, 4885, 627, 2028, 374, 459, 80415, 5225, 430, 97689, 279, 1217, 994, 4442, 527, 1694, 1903, 1778, 439, 279, 1212, 315, 279, 85746, 477, 4732, 34074, 627, 61346, 2231, 11, 279, 26065, 20, 374, 574, 2500, 12845, 369, 65863, 288, 857, 11, 323, 374, 1057, 7075, 315, 279, 5091, 4364, 15, 9607, 51, 11378, 627, 2170, 1690, 315, 499, 13016, 4762, 656, 11, 584, 990, 505, 2162, 11, 779, 3515, 279, 6776, 311, 1935, 682, 315, 1057, 6880, 11, 955, 682, 315, 1057, 14633, 323, 656, 1057, 13326, 1816, 1418, 11689, 374, 1093, 264, 8063, 2586, 837, 627, 2409, 779, 1690, 9256, 311, 2804, 11, 433, 753, 539, 55588, 311, 5895, 25, 649, 420, 85746, 3604, 6493, 779, 1790, 24617, 30, 578, 8206, 374, 433, 649, 13, 578, 17963, 7479, 374, 653, 31061, 481, 11, 779, 279, 12474, 8815, 315, 420, 85746, 1288, 387, 3325, 315, 701, 38145, 627, 2181, 753, 264, 8987, 14523, 7479, 1101, 11, 9093, 4205, 499, 1205, 389, 701, 18496, 11, 2737, 701, 7075, 73585, 11033, 11, 499, 649, 617, 433, 323, 2646, 11196, 922, 20334, 627, 2181, 753, 264, 2294, 3245, 430, 3932, 505, 220, 19, 529, 605, 863, 311, 220, 21, 529, 23, 22308, 649, 69704, 8935, 505, 682, 279, 4519, 420, 85746, 706, 311, 3085, 11, 323, 499, 1541, 1431, 2216, 617, 311, 387, 8010, 315, 4395, 520, 904, 892, 627, 3923, 358, 3152, 555, 420, 374, 430, 832, 1253, 636, 779, 1139, 8996, 20846, 499, 3207, 4477, 477, 279, 1455, 3062, 4641, 1650, 315, 279, 2046, 430, 499, 1253, 10894, 499, 527, 304, 2144, 389, 264, 83679, 7479, 11, 779, 33788, 1253, 3621, 11, 15319, 1253, 12446, 11, 719, 539, 389, 279, 26065, 20, 4245, 311, 459, 15416, 1260, 1887, 430, 30350, 499, 1475, 892, 279, 19671, 18417, 477, 4732, 374, 24257, 627, 35078, 704, 389, 26065, 20, 706, 1027, 264, 2294, 3217, 25, 499, 649, 3604, 636, 682, 701, 990, 2884, 1418, 3794, 264, 6573, 26308, 304, 13, 1102, 753, 2085, 264, 10712, 832, 315, 279, 1888, 85746, 76915, 389, 279, 3157, 3432, 627, 128001, -100, 791, 11586, 20069, 5867, 5141, 5907, 6137, 304, 7008, 323, 304, 9635, 439, 264, 40806, 1162, 4007, 304, 279, 3674, 3925, 323, 15207, 80378, 315, 66089, 34457, 991, 5141, 323, 15443, 13, 9636, 279, 55531, 315, 279, 4948, 48510, 315, 39175, 1864, 546, 11, 279, 11586, 20069, 991, 18303, 1051, 264, 23649, 3187, 315, 29759, 39061, 991, 5141, 627, 5733, 11330, 5867, 5141, 311, 31714, 7008, 198, 4881, 279, 8336, 315, 64729, 323, 3109, 311, 13713, 349, 279, 991, 5141, 315, 1063, 220, 16, 11, 4728, 991, 71336, 505, 70608, 323, 3221, 14656, 6498, 31276, 311, 31714, 7008, 320, 67403, 3370, 8, 1990, 220, 10750, 17, 323, 220, 10750, 22, 13, 6498, 15695, 57119, 83426, 198, 413, 82, 311, 279, 991, 71336, 323, 279, 12197, 814, 6267, 23524, 872, 2324, 19308, 60485, 11429, 323, 872, 502, 6439, 304, 7008, 627, 24798, 48345, 11, 279, 2447, 706, 4529, 502, 18445, 311, 1833, 1403, 1274, 889, 16392, 505, 39612, 67482, 1555, 872, 13537, 449, 279, 4948, 48510, 315, 39175, 1864, 546, 323, 11586, 20069, 4783, 627, 85203, 356, 1751, 1154, 323, 84349, 11165, 2492, 198, 19070, 82, 279, 2539, 2324, 315, 11355, 21628, 83, 11, 279, 312, 5009, 315, 11586, 20069, 323, 279, 893, 4920, 279, 48510, 753, 11586, 20069, 5867, 5141, 10554, 13, 21393, 7695, 535, 11, 39175, 1864, 546, 753, 4605, 434, 198, 300, 279, 66194, 11, 323, 9778, 279, 7555, 11, 315, 279, 220, 18, 6634, 48510, 31408, 304, 279, 8396, 315, 13820, 11, 14248, 11, 323, 9526, 388, 304, 30029, 889, 6297, 16243, 11586, 20069, 4783, 627, 2028, 3997, 5764, 39005, 323, 8167, 288, 6319, 311, 12576, 15207, 32051, 1705, 8173, 304, 11586, 20069, 991, 71336, 323, 872, 49446, 315, 279, 1176, 9659, 627, 791, 12283, 5938, 449, 420, 2447, 86454, 3725, 25670, 20941, 22653, 7762, 1543, 323, 279, 7762, 1543, 5114, 889, 617, 7396, 872, 990, 505, 279, 54529, 315, 279, 11586, 20069, 2447, 13, 128001, -100, 40, 574, 2163, 1618, 555, 37219, 304, 279, 4216, 220, 1399, 596, 13, 2435, 3309, 757, 814, 1051, 1120, 16706, 927, 311, 279, 44409, 1887, 311, 11894, 1063, 19116, 292, 2298, 1122, 12704, 268, 323, 264, 3854, 315, 1554, 8099, 11, 719, 814, 2646, 3782, 1203, 13, 2100, 11, 1618, 358, 40609, 11, 264, 20792, 2085, 20136, 11, 1344, 801, 4776, 304, 264, 1917, 23490, 8208, 13088, 13, 1628, 11, 1418, 358, 3463, 358, 1047, 420, 3823, 3245, 25720, 704, 11, 4400, 374, 3339, 1790, 5647, 904, 810, 13, 2057, 10677, 11, 358, 2846, 304, 264, 15234, 502, 3363, 11, 2085, 3070, 477, 4885, 2949, 264, 16579, 8931, 13, 358, 9167, 956, 6612, 279, 5916, 315, 264, 5333, 304, 5129, 1109, 358, 649, 6227, 11, 323, 430, 3727, 757, 2733, 779, 1633, 7636, 11, 779, 1633, 29213, 11, 323, 779, 1633, 12703, 13, 128001, -100, 9679, 4883, 16967, 374, 13375, 555, 6160, 22012, 1701, 2115, 24654, 323, 15194, 279, 20229, 449, 9063, 62137, 13, 9176, 20229, 389, 279, 14850, 527, 76981, 3847, 449, 264, 9063, 62210, 13, 12362, 41032, 7241, 11, 6160, 22012, 3839, 279, 8450, 9124, 555, 279, 62210, 627, 791, 1589, 14997, 527, 1101, 76981, 3847, 449, 28296, 2531, 21562, 13, 17366, 28559, 527, 5016, 311, 420, 12224, 323, 2187, 279, 20229, 311, 387, 11054, 505, 264, 6138, 627, 791, 2038, 12457, 1555, 16967, 323, 15194, 374, 2231, 304, 264, 14850, 828, 2385, 323, 5825, 43775, 311, 39646, 1005, 11, 67810, 11, 20237, 7969, 11, 5353, 315, 29528, 11, 323, 1690, 1023, 13878, 315, 2254, 74047, 2324, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116 ]
[ 128000, 57564, 323, 4027, 527, 264, 3958, 10824, 369, 810, 8125, 1109, 499, 2643, 1781, 13, 1054, 3947, 527, 3892, 9547, 430, 1304, 18137, 27176, 5107, 311, 56807, 819, 2476, 2795, 12565, 31858, 11, 264, 2291, 3751, 369, 279, 3907, 315, 32790, 27571, 744, 14829, 315, 37963, 11, 323, 264, 26202, 95265, 304, 99911, 32790, 13, 1054, 28597, 18137, 293, 3916, 304, 4040, 527, 5128, 40069, 31749, 2476, 31858, 11621, 13, 1054, 791, 18137, 9839, 261, 439, 41794, 279, 293, 1604, 304, 13931, 1093, 264, 6638, 315, 5684, 2029, 9393, 279, 18137, 374, 40069, 31749, 11, 264, 4883, 293, 1604, 3250, 1431, 8395, 70733, 477, 6288, 13, 12361, 11, 264, 1554, 2061, 287, 721, 312, 44154, 709, 1139, 279, 293, 1604, 13, 578, 293, 1604, 706, 311, 387, 4529, 10980, 311, 636, 311, 279, 721, 312, 779, 433, 649, 387, 2231, 704, 11, 323, 682, 315, 433, 706, 311, 387, 2231, 704, 477, 433, 690, 721, 527, 709, 1578, 627, 3947, 527, 3892, 20414, 11, 11911, 389, 1405, 279, 293, 1604, 374, 323, 279, 25911, 13, 1054, 6600, 395, 374, 264, 11292, 6136, 323, 430, 6835, 4883, 18137, 293, 3916, 264, 12742, 11292, 24875, 5497, 4661, 1093, 7732, 24875, 2476, 31858, 2795, 13, 1054, 4599, 584, 527, 4560, 311, 636, 1139, 279, 293, 1604, 311, 1505, 279, 1554, 2061, 287, 3158, 11, 584, 617, 311, 990, 4028, 279, 24875, 11, 323, 430, 753, 2653, 990, 13, 8876, 584, 527, 2133, 311, 23749, 3090, 682, 927, 323, 1139, 279, 293, 1604, 11, 433, 374, 264, 2860, 4814, 311, 279, 37500, 13971, 779, 4400, 374, 5675, 555, 56836, 279, 293, 1604, 10980, 2029, 15992, 293, 3916, 7784, 1431, 439, 40069, 31749, 323, 8541, 311, 8395, 6288, 11, 8051, 42415, 9518, 293, 3916, 649, 8395, 1633, 70733, 627, 14364, 5353, 369, 18137, 27176, 374, 74454, 9057, 555, 18137, 430, 753, 2288, 21147, 13, 3011, 32257, 690, 51077, 6650, 315, 80727, 304, 279, 18137, 11, 14718, 8798, 11, 2795, 85029, 20540, 11, 18328, 14561, 369, 279, 3907, 315, 32790, 744, 14829, 315, 37963, 13, 1054, 13461, 520, 11349, 32257, 5990, 11, 18137, 690, 10284, 5376, 304, 9499, 11, 439, 80727, 9216, 556, 369, 264, 5743, 315, 5672, 323, 10284, 5376, 293, 1604, 9499, 2001, 709, 311, 2212, 220, 4364, 11877, 435, 2029, 1442, 32257, 374, 2163, 54291, 11, 20472, 690, 10205, 11, 449, 20472, 19261, 220, 5245, 11877, 435, 477, 810, 323, 6968, 264, 5326, 315, 54557, 59333, 13, 128001, 128000, 64693, 304, 1176, 4376, 17503, 2403, 1566, 1060, 4245, 311, 19821, 315, 3544, 13230, 7224, 11, 1418, 834, 52173, 12992, 7154, 220, 605, 126437, 791, 834, 52173, 315, 7362, 2167, 9341, 320, 14938, 40, 8, 304, 23315, 304, 279, 1176, 4376, 315, 279, 1060, 8813, 400, 21, 13, 18, 7239, 11, 709, 220, 24, 13, 21, 824, 2960, 505, 264, 1060, 4227, 11, 4184, 311, 279, 20214, 315, 28780, 323, 33350, 753, 19620, 33350, 16784, 627, 644, 279, 1176, 4376, 220, 11711, 502, 435, 18091, 7224, 1051, 11938, 9341, 35537, 11, 449, 2860, 9879, 6864, 315, 400, 18, 13, 5833, 7239, 11, 477, 220, 4643, 824, 2960, 315, 279, 1396, 2391, 279, 1890, 4261, 1566, 1060, 627, 8538, 220, 11209, 7224, 7319, 872, 9879, 6864, 555, 264, 2860, 315, 400, 16, 13, 2397, 7239, 11, 477, 220, 6069, 824, 2960, 315, 1566, 1060, 753, 7216, 369, 279, 1176, 4376, 627, 3947, 1051, 912, 3544, 13230, 7224, 11, 902, 11203, 4920, 279, 14278, 304, 9879, 6864, 2403, 1566, 1060, 627, 16397, 279, 4261, 7362, 15167, 1051, 6532, 304, 220, 845, 26593, 13, 7648, 435, 18091, 4024, 311, 279, 8863, 323, 15266, 19647, 11, 449, 220, 18633, 502, 7224, 323, 220, 7028, 7859, 6864, 11, 82223, 400, 19, 13, 845, 7239, 323, 24043, 369, 220, 4767, 824, 2960, 315, 682, 6864, 627, 791, 3224, 29123, 400, 20, 13, 2491, 7239, 304, 435, 18091, 2391, 279, 6186, 12278, 2957, 4261, 11, 477, 220, 1490, 13, 17, 824, 2960, 315, 279, 7216, 304, 279, 1176, 4848, 4038, 315, 1566, 1060, 323, 279, 15821, 2533, 220, 679, 17, 627, 12, 435, 18091, 128001 ]
[ -100, 57564, 323, 4027, 527, 264, 3958, 10824, 369, 810, 8125, 1109, 499, 2643, 1781, 13, 1054, 3947, 527, 3892, 9547, 430, 1304, 18137, 27176, 5107, 311, 56807, 819, 2476, 2795, 12565, 31858, 11, 264, 2291, 3751, 369, 279, 3907, 315, 32790, 27571, 744, 14829, 315, 37963, 11, 323, 264, 26202, 95265, 304, 99911, 32790, 13, 1054, 28597, 18137, 293, 3916, 304, 4040, 527, 5128, 40069, 31749, 2476, 31858, 11621, 13, 1054, 791, 18137, 9839, 261, 439, 41794, 279, 293, 1604, 304, 13931, 1093, 264, 6638, 315, 5684, 2029, 9393, 279, 18137, 374, 40069, 31749, 11, 264, 4883, 293, 1604, 3250, 1431, 8395, 70733, 477, 6288, 13, 12361, 11, 264, 1554, 2061, 287, 721, 312, 44154, 709, 1139, 279, 293, 1604, 13, 578, 293, 1604, 706, 311, 387, 4529, 10980, 311, 636, 311, 279, 721, 312, 779, 433, 649, 387, 2231, 704, 11, 323, 682, 315, 433, 706, 311, 387, 2231, 704, 477, 433, 690, 721, 527, 709, 1578, 627, 3947, 527, 3892, 20414, 11, 11911, 389, 1405, 279, 293, 1604, 374, 323, 279, 25911, 13, 1054, 6600, 395, 374, 264, 11292, 6136, 323, 430, 6835, 4883, 18137, 293, 3916, 264, 12742, 11292, 24875, 5497, 4661, 1093, 7732, 24875, 2476, 31858, 2795, 13, 1054, 4599, 584, 527, 4560, 311, 636, 1139, 279, 293, 1604, 311, 1505, 279, 1554, 2061, 287, 3158, 11, 584, 617, 311, 990, 4028, 279, 24875, 11, 323, 430, 753, 2653, 990, 13, 8876, 584, 527, 2133, 311, 23749, 3090, 682, 927, 323, 1139, 279, 293, 1604, 11, 433, 374, 264, 2860, 4814, 311, 279, 37500, 13971, 779, 4400, 374, 5675, 555, 56836, 279, 293, 1604, 10980, 2029, 15992, 293, 3916, 7784, 1431, 439, 40069, 31749, 323, 8541, 311, 8395, 6288, 11, 8051, 42415, 9518, 293, 3916, 649, 8395, 1633, 70733, 627, 14364, 5353, 369, 18137, 27176, 374, 74454, 9057, 555, 18137, 430, 753, 2288, 21147, 13, 3011, 32257, 690, 51077, 6650, 315, 80727, 304, 279, 18137, 11, 14718, 8798, 11, 2795, 85029, 20540, 11, 18328, 14561, 369, 279, 3907, 315, 32790, 744, 14829, 315, 37963, 13, 1054, 13461, 520, 11349, 32257, 5990, 11, 18137, 690, 10284, 5376, 304, 9499, 11, 439, 80727, 9216, 556, 369, 264, 5743, 315, 5672, 323, 10284, 5376, 293, 1604, 9499, 2001, 709, 311, 2212, 220, 4364, 11877, 435, 2029, 1442, 32257, 374, 2163, 54291, 11, 20472, 690, 10205, 11, 449, 20472, 19261, 220, 5245, 11877, 435, 477, 810, 323, 6968, 264, 5326, 315, 54557, 59333, 13, 128001, -100, 64693, 304, 1176, 4376, 17503, 2403, 1566, 1060, 4245, 311, 19821, 315, 3544, 13230, 7224, 11, 1418, 834, 52173, 12992, 7154, 220, 605, 126437, 791, 834, 52173, 315, 7362, 2167, 9341, 320, 14938, 40, 8, 304, 23315, 304, 279, 1176, 4376, 315, 279, 1060, 8813, 400, 21, 13, 18, 7239, 11, 709, 220, 24, 13, 21, 824, 2960, 505, 264, 1060, 4227, 11, 4184, 311, 279, 20214, 315, 28780, 323, 33350, 753, 19620, 33350, 16784, 627, 644, 279, 1176, 4376, 220, 11711, 502, 435, 18091, 7224, 1051, 11938, 9341, 35537, 11, 449, 2860, 9879, 6864, 315, 400, 18, 13, 5833, 7239, 11, 477, 220, 4643, 824, 2960, 315, 279, 1396, 2391, 279, 1890, 4261, 1566, 1060, 627, 8538, 220, 11209, 7224, 7319, 872, 9879, 6864, 555, 264, 2860, 315, 400, 16, 13, 2397, 7239, 11, 477, 220, 6069, 824, 2960, 315, 1566, 1060, 753, 7216, 369, 279, 1176, 4376, 627, 3947, 1051, 912, 3544, 13230, 7224, 11, 902, 11203, 4920, 279, 14278, 304, 9879, 6864, 2403, 1566, 1060, 627, 16397, 279, 4261, 7362, 15167, 1051, 6532, 304, 220, 845, 26593, 13, 7648, 435, 18091, 4024, 311, 279, 8863, 323, 15266, 19647, 11, 449, 220, 18633, 502, 7224, 323, 220, 7028, 7859, 6864, 11, 82223, 400, 19, 13, 845, 7239, 323, 24043, 369, 220, 4767, 824, 2960, 315, 682, 6864, 627, 791, 3224, 29123, 400, 20, 13, 2491, 7239, 304, 435, 18091, 2391, 279, 6186, 12278, 2957, 4261, 11, 477, 220, 1490, 13, 17, 824, 2960, 315, 279, 7216, 304, 279, 1176, 4848, 4038, 315, 1566, 1060, 323, 279, 15821, 2533, 220, 679, 17, 627, 12, 435, 18091, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 791, 1633, 1888, 8244, 3925, 315, 279, 2947, 125800, 67946, 11, 505, 264, 2626, 1486, 315, 1684, 11, 574, 5439, 555, 3842, 2947, 125800, 11, 510, 14965, 85498, 3384, 813, 16478, 58832, 315, 279, 8351, 304, 220, 5162, 17, 1306, 12656, 2947, 125800, 574, 6216, 53258, 311, 12656, 45995, 70, 3195, 612, 51838, 323, 356, 66461, 622, 13, 64774, 12604, 13, 389, 264, 33517, 2269, 39724, 8197, 25750, 358, 649, 3350, 912, 2731, 264, 3925, 11, 779, 358, 617, 24306, 1618, 264, 10015, 3925, 315, 279, 7626, 1306, 902, 690, 5101, 813, 43422, 510, 2028, 1160, 690, 387, 6177, 439, 810, 2038, 374, 12457, 27218, 45887, 2947, 125800, 50, 20191, 13, 9405, 304, 15004, 10516, 220, 11242, 18, 14, 19, 11, 323, 1047, 264, 2626, 389, 61125, 84548, 627, 10562, 24, 1283, 7882, 311, 9305, 24125, 800, 7586, 2194, 627, 10750, 18, 364, 1671, 3695, 6, 18524, 11725, 364, 44, 8035, 645, 12656, 11, 6252, 11, 5249, 388, 6, 5507, 296, 1658, 13, 328, 8788, 6825, 24482, 10336, 19, 6841, 1187, 12656, 2947, 125800, 13358, 81, 13, 8636, 627, 10828, 16, 12656, 622, 20191, 13, 11096, 813, 7126, 596, 5249, 727, 3339, 2626, 304, 61125, 994, 1120, 220, 717, 1667, 2362, 627, 10750, 18, 73562, 6352, 11725, 364, 44, 8035, 645, 468, 76, 13, 18169, 5249, 388, 6, 5507, 11, 33964, 2766, 323, 43878, 893, 1658, 13, 426, 3039, 43341, 6825, 24482, 10750, 16, 12, 17, 320, 269, 220, 10750, 22, 8, 90797, 311, 8294, 35022, 520, 220, 3080, 14, 3076, 426, 9949, 2702, 27109, 320, 13637, 426, 3039, 12531, 27109, 477, 12531, 27109, 8, 330, 39, 18127, 1122, 21785, 1, 38254, 433, 574, 220, 10750, 22, 1606, 364, 1671, 3695, 6, 2103, 82, 11725, 426, 3039, 43341, 800, 13, 304, 220, 10750, 18, 627, 10336, 20, 78262, 264, 3838, 520, 220, 17, 356, 1864, 17334, 11004, 11, 11104, 8715, 11, 61125, 627, 10336, 23, 3842, 13416, 53852, 3952, 704, 264, 25589, 369, 264, 39739, 306, 388, 33964, 11, 279, 3268, 311, 902, 12656, 28520, 11021, 627, 10336, 24, 12103, 76249, 18063, 320, 65, 13, 10750, 20, 8, 3940, 990, 520, 279, 8803, 627, 9714, 15, 12, 16, 364, 45887, 2947, 125800, 323, 51838, 6, 3782, 1139, 1694, 449, 76249, 18063, 220, 1187, 320, 65, 13, 10750, 22, 8, 323, 12656, 18206, 220, 1691, 320, 65, 13, 10336, 15, 8, 1457, 1694, 4529, 304, 439, 8717, 627, 9714, 16, 12, 17, 45887, 2947, 125800, 323, 51838, 1176, 1972, 49639, 574, 11136, 13, 8442, 832, 4113, 3048, 374, 3967, 13, 510, 5618, 1518, 279, 32321, 1157, 323, 1789, 13618, 14491, 27218, 9714, 17, 578, 73191, 21161, 220, 18, 27967, 95901, 6244, 264, 17657, 4488, 627, 9714, 18, 13596, 4538, 17971, 320, 65, 13, 10336, 17, 8, 11096, 279, 7626, 439, 264, 8427, 627, 9714, 23, 362, 502, 49639, 574, 11136, 719, 912, 11236, 527, 50801, 3967, 311, 3073, 627, 9714, 24, 12656, 2947, 125800, 622, 20191, 13, 37402, 2160, 3946, 505, 279, 7626, 323, 279, 3424, 374, 82280, 311, 813, 220, 18, 26419, 627, 9674, 16, 12656, 2947, 125800, 622, 20191, 13, 11021, 264, 26991, 2802, 304, 34131, 452, 14350, 612, 3623, 6272, 813, 39637, 4538, 11, 15274, 220, 1419, 320, 65, 13, 10336, 23, 570, 578, 7626, 3940, 11380, 304, 220, 9674, 20, 439, 34131, 452, 14350, 612, 2947, 125800, 520, 17355, 14173, 21785, 8803, 11, 3842, 6825, 11, 61125, 627, 9674, 17, 61125, 18524, 2103, 5039, 279, 4410, 2630, 80270, 2686, 369, 279, 2947, 125800, 17367, 627, 9674, 18, 362, 502, 49639, 574, 11136, 627, 53692, 420, 1253, 387, 220, 9674, 17, 439, 279, 24442, 6661, 311, 420, 8650, 1796, 320, 300, 32321, 1157, 1051, 1243, 2663, 8, 520, 279, 364, 39, 675, 3258, 6, 16730, 374, 719, 264, 6661, 33018, 264, 32828, 3430, 1160, 311, 279, 364, 97257, 660, 8650, 1796, 6, 1243, 304, 2515, 627, 9674, 20, 220, 17, 502, 17657, 49195, 527, 11784, 13, 364, 39, 18127, 689, 6, 323, 279, 364, 83926, 73191, 21161, 24482, 9674, 22, 220, 17, 303, 5020, 13, 12656, 2947, 125800, 622, 20191, 13, 8636, 627, 9674, 23, 3778, 14173, 32321, 361, 2360, 13, 16, 11136, 627, 9367, 16, 14, 17, 269, 220, 9367, 18, 362, 502, 49639, 574, 11136, 627, 9367, 18, 4723, 220, 1544, 339, 13, 12656, 18206, 2947, 125800, 8636, 627, 9367, 23, 362, 502, 6560, 49639, 574, 11136, 627, 9367, 23, 4448, 220, 16, 267, 13, 330, 44, 974, 3258, 612, 12103, 1, 574, 9879, 439, 264, 17657, 4488, 315, 468, 76, 13, 2947, 125800, 627, 9378, 22, 3842, 18206, 2947, 125800, 320, 82279, 478, 4538, 315, 76249, 18063, 8, 10862, 279, 2626, 627, 9378, 22, 362, 502, 49639, 574, 11136, 11, 719, 8051, 912, 47093, 33964, 574, 36762, 11, 433, 574, 2103, 6982, 439, 9076, 627, 9378, 22, 14, 23, 364, 45887, 2947, 125800, 323, 51838, 12604, 6, 574, 14454, 11, 323, 574, 9093, 1457, 264, 879, 2883, 627, 7028, 17, 1556, 4817, 16625, 24354, 57728, 574, 3940, 320, 1762, 18785, 682, 95931, 574, 2884, 555, 1972, 1450, 24354, 990, 570, 21253, 318, 27349, 33964, 5788, 59477, 627, 7028, 18, 13596, 502, 49639, 574, 11136, 304, 902, 279, 21253, 318, 27349, 33964, 374, 539, 10212, 627, 7028, 19, 220, 7994, 9305, 24125, 800, 13, 320, 35627, 35022, 315, 4997, 83, 13, 30631, 1729, 612, 51838, 889, 1047, 7882, 8, 574, 15075, 323, 279, 364, 13379, 386, 974, 3258, 612, 12103, 6, 11277, 3339, 2626, 574, 7882, 311, 61125, 505, 7295, 627, 7028, 23, 76249, 18063, 2947, 125800, 22311, 9564, 3842, 18206, 44, 8035, 645, 304, 6900, 627, 7028, 24, 364, 19952, 261, 452, 14350, 612, 3623, 13, 12604, 3238, 320, 4291, 279, 364, 40, 13, 30631, 1729, 6, 6696, 323, 13166, 1906, 8, 574, 15075, 627, 7529, 17, 89239, 2947, 125800, 11, 4538, 315, 18063, 60091, 11, 11096, 279, 2883, 627, 7529, 19, 69548, 439, 364, 80068, 12070, 315, 14173, 369, 682, 96880, 2737, 39739, 306, 388, 11, 25175, 13387, 99949, 323, 42272, 1941, 6, 449, 220, 3443, 8420, 627, 5926, 15, 5936, 578, 91858, 6012, 315, 220, 5833, 11, 220, 4218, 323, 220, 2421, 14829, 800, 13, 1051, 15075, 627, 5926, 18, 26349, 507, 86265, 435, 75072, 11, 279, 2294, 72102, 942, 315, 12656, 622, 20191, 2637, 10862, 279, 2626, 627, 7285, 17, 5651, 364, 19952, 261, 452, 14350, 612, 3623, 12604, 6, 7782, 279, 5708, 323, 82746, 315, 364, 13379, 30631, 1729, 612, 51838, 6, 449, 279, 32464, 364, 40, 612, 473, 30631, 1729, 6, 323, 279, 36565, 1906, 627, 7285, 22, 69548, 439, 364, 7896, 47198, 6, 449, 279, 364, 2059, 309, 21161, 6, 2678, 7526, 1906, 627, 7285, 23, 364, 10306, 6, 6883, 23162, 25761, 3940, 510, 1395, 4842, 6798, 25761, 430, 1051, 5780, 1903, 439, 459, 10778, 311, 279, 1450, 1903, 23162, 25761, 902, 1051, 2103, 9076, 439, 459, 10778, 719, 520, 5190, 7729, 27218, 6393, 15, 4448, 11291, 29868, 2947, 125800, 11, 4538, 315, 3842, 18206, 11, 10862, 279, 2626, 627, 66, 6393, 21, 11641, 2947, 125800, 11, 4538, 315, 89239, 11, 10862, 279, 2626, 627, 6280, 19, 578, 1630, 19, 9501, 11277, 315, 330, 9712, 2521, 4367, 4708, 574, 11784, 627, 5162, 16, 362, 502, 2134, 315, 5918, 709, 387, 4842, 6798, 364, 3246, 3079, 6, 25761, 449, 459, 11245, 60981, 574, 1176, 61149, 510, 16955, 15, 320, 57966, 8, 323, 220, 16955, 16, 320, 28233, 7400, 627, 5162, 16, 16782, 10212, 439, 364, 7896, 47198, 6, 323, 3515, 220, 3443, 8420, 627, 5162, 17, 3842, 18206, 2947, 125800, 85498, 3384, 813, 16478, 58832, 315, 279, 8351, 994, 433, 574, 6216, 53258, 311, 12656, 45995, 70, 3195, 612, 51838, 12604, 13, 323, 356, 5, 41, 64774, 12604, 627, 5162, 18, 3842, 18206, 2947, 125800, 8636, 627, 5162, 20, 7252, 4367, 387, 4842, 6798, 25761, 510, 2367, 19332, 60, 527, 11309, 505, 279, 8650, 1796, 13, 364, 10306, 6, 16835, 5780, 1903, 17, 303, 93869, 25761, 527, 2103, 10212, 627, 5162, 23, 364, 10306, 6, 6883, 25761, 527, 50682, 505, 6412, 11, 439, 527, 279, 220, 16955, 15, 323, 220, 16955, 16, 67316, 25761, 627, 4468, 16, 2360, 23162, 25761, 527, 1457, 6982, 369, 6412, 1131, 1820, 842, 315, 264, 50106, 315, 11277, 3339, 29869, 220, 8273, 1667, 627, 3753, 16, 362, 426, 32429, 1030, 315, 24067, 11021, 279, 2883, 13, 364, 32429, 1030, 13896, 2947, 125800, 6, 574, 14454, 627, 3753, 20, 362, 502, 8013, 2883, 22763, 2663, 13896, 54642, 902, 15075, 13896, 45995, 70, 3195, 12604, 13, 323, 364, 6607, 2947, 125800, 12404, 21837, 12604, 6, 3782, 1203, 1139, 14209, 627, 32, 471, 311, 8013, 15637, 11, 719, 1193, 3156, 220, 2550, 23, 627, 3753, 23, 578, 836, 13896, 2947, 125800, 320, 49492, 21837, 14173, 8, 12604, 13, 574, 2103, 304, 7958, 627, 2550, 16, 4800, 1120, 1234, 279, 48998, 315, 13896, 14173, 12604, 627, 2550, 18, 4800, 2663, 13896, 54642, 97562, 627, 2550, 23, 4800, 510, 33871, 60, 2663, 13896, 14173, 12604, 13, 719, 374, 1457, 264, 14829, 315, 3778, 13782, 32886, 4953, 627, 1049, 17, 578, 4459, 315, 430, 2883, 1457, 3782, 311, 387, 13234, 439, 1561, 616, 53406, 46342, 16853, 6153, 272, 13, 1049, 23, 16646, 24185, 5364, 946, 9705, 50, 7526, 11, 1051, 9124, 555, 35159, 304, 3060, 67980, 483, 11, 15704, 477, 4726, 364, 37440, 6, 510, 23078, 11, 323, 527, 1243, 719, 264, 12737, 315, 872, 4846, 4367, 627, 4516, 1120, 1306, 272, 13, 1049, 23, 499, 649, 21735, 904, 1695, 8013, 85060, 47555, 16058, 627, 39314, 527, 279, 364, 23312, 6, 505, 279, 5370, 7086, 16808, 1157, 430, 690, 1501, 279, 34692, 430, 10222, 927, 892, 311, 279, 473, 3336, 13974, 5987, 32904, 50, 2816, 627, 54, 9410, 74807, 38599, 9705, 50, 3651, 328, 30626, 220, 10750, 15, 12, 220, 3753, 18, 13, 128001, 128000, 29967, 47510, 871, 78400, 2617, 871, 3234, 358, 9372, 15388, 5380, 40, 5117, 3640, 1603, 922, 279, 27873, 17368, 10092, 8766, 220, 7699, 15, 320, 8075, 5751, 7658, 44056, 323, 23088, 62612, 82, 3298, 4390, 5519, 358, 9372, 15388, 30, 374, 264, 502, 4901, 389, 5690, 922, 279, 26313, 220, 7699, 15, 13, 1102, 374, 17057, 555, 27560, 978, 406, 373, 11, 264, 2035, 369, 87899, 323, 279, 586, 304, 4689, 13, 7357, 2046, 814, 2586, 449, 264, 502, 2835, 13, 14853, 315, 1124, 304, 420, 1772, 627, 128001, 128000, 11800, 304, 1057, 13566, 30534, 1565, 2068, 1555, 17262, 48672, 16136, 304, 264, 8205, 315, 18273, 11704, 11, 53640, 26793, 323, 11782, 1989, 10708, 13, 2435, 527, 18751, 1139, 279, 24978, 596, 6975, 3217, 323, 10666, 304, 264, 24073, 3130, 627, 791, 24978, 13639, 3493, 1057, 1403, 4771, 6418, 1555, 17262, 48672, 4325, 2911, 449, 2523, 323, 11782, 7640, 311, 1520, 1124, 4048, 922, 872, 13162, 323, 279, 12939, 315, 26677, 13, 2435, 6725, 502, 7512, 11, 20259, 872, 20547, 9048, 24569, 323, 4048, 3953, 430, 15253, 4642, 1514, 323, 5912, 10368, 13, 128001, 128000, 40, 1440, 18098, 9355, 706, 13524, 1027, 5737, 9232, 279, 4459, 4901, 13, 1102, 3250, 956, 1520, 430, 279, 3754, 1274, 1193, 1934, 389, 1077, 25481, 3582, 3060, 13, 9086, 18098, 9355, 4536, 956, 3815, 477, 5605, 4205, 5076, 433, 596, 1120, 30931, 11011, 279, 1890, 3488, 330, 12840, 596, 701, 13010, 311, 296, 4942, 750, 5605, 420, 7673, 9086, 5613, 220, 18, 6476, 18098, 35262, 13010, 311, 4584, 50, 750, 8260, 1077, 79359, 788, 922, 220, 966, 3115, 2949, 220, 605, 4520, 994, 3420, 574, 1618, 13, 1628, 18098, 9355, 2744, 31680, 449, 1778, 21507, 330, 2746, 430, 596, 279, 4901, 4584, 50, 750, 6944, 311, 1629, 1243, 430, 596, 7060, 13, 358, 2846, 21760, 389, 1676, 17403, 598, 4819, 1210, 1102, 596, 1093, 559, 288, 60206, 1124, 311, 2610, 1077, 922, 1077, 10396, 323, 279, 3754, 1120, 49378, 433, 13, 1102, 596, 9193, 35711, 13, 128001 ]
[ -100, 791, 1633, 1888, 8244, 3925, 315, 279, 2947, 125800, 67946, 11, 505, 264, 2626, 1486, 315, 1684, 11, 574, 5439, 555, 3842, 2947, 125800, 11, 510, 14965, 85498, 3384, 813, 16478, 58832, 315, 279, 8351, 304, 220, 5162, 17, 1306, 12656, 2947, 125800, 574, 6216, 53258, 311, 12656, 45995, 70, 3195, 612, 51838, 323, 356, 66461, 622, 13, 64774, 12604, 13, 389, 264, 33517, 2269, 39724, 8197, 25750, 358, 649, 3350, 912, 2731, 264, 3925, 11, 779, 358, 617, 24306, 1618, 264, 10015, 3925, 315, 279, 7626, 1306, 902, 690, 5101, 813, 43422, 510, 2028, 1160, 690, 387, 6177, 439, 810, 2038, 374, 12457, 27218, 45887, 2947, 125800, 50, 20191, 13, 9405, 304, 15004, 10516, 220, 11242, 18, 14, 19, 11, 323, 1047, 264, 2626, 389, 61125, 84548, 627, 10562, 24, 1283, 7882, 311, 9305, 24125, 800, 7586, 2194, 627, 10750, 18, 364, 1671, 3695, 6, 18524, 11725, 364, 44, 8035, 645, 12656, 11, 6252, 11, 5249, 388, 6, 5507, 296, 1658, 13, 328, 8788, 6825, 24482, 10336, 19, 6841, 1187, 12656, 2947, 125800, 13358, 81, 13, 8636, 627, 10828, 16, 12656, 622, 20191, 13, 11096, 813, 7126, 596, 5249, 727, 3339, 2626, 304, 61125, 994, 1120, 220, 717, 1667, 2362, 627, 10750, 18, 73562, 6352, 11725, 364, 44, 8035, 645, 468, 76, 13, 18169, 5249, 388, 6, 5507, 11, 33964, 2766, 323, 43878, 893, 1658, 13, 426, 3039, 43341, 6825, 24482, 10750, 16, 12, 17, 320, 269, 220, 10750, 22, 8, 90797, 311, 8294, 35022, 520, 220, 3080, 14, 3076, 426, 9949, 2702, 27109, 320, 13637, 426, 3039, 12531, 27109, 477, 12531, 27109, 8, 330, 39, 18127, 1122, 21785, 1, 38254, 433, 574, 220, 10750, 22, 1606, 364, 1671, 3695, 6, 2103, 82, 11725, 426, 3039, 43341, 800, 13, 304, 220, 10750, 18, 627, 10336, 20, 78262, 264, 3838, 520, 220, 17, 356, 1864, 17334, 11004, 11, 11104, 8715, 11, 61125, 627, 10336, 23, 3842, 13416, 53852, 3952, 704, 264, 25589, 369, 264, 39739, 306, 388, 33964, 11, 279, 3268, 311, 902, 12656, 28520, 11021, 627, 10336, 24, 12103, 76249, 18063, 320, 65, 13, 10750, 20, 8, 3940, 990, 520, 279, 8803, 627, 9714, 15, 12, 16, 364, 45887, 2947, 125800, 323, 51838, 6, 3782, 1139, 1694, 449, 76249, 18063, 220, 1187, 320, 65, 13, 10750, 22, 8, 323, 12656, 18206, 220, 1691, 320, 65, 13, 10336, 15, 8, 1457, 1694, 4529, 304, 439, 8717, 627, 9714, 16, 12, 17, 45887, 2947, 125800, 323, 51838, 1176, 1972, 49639, 574, 11136, 13, 8442, 832, 4113, 3048, 374, 3967, 13, 510, 5618, 1518, 279, 32321, 1157, 323, 1789, 13618, 14491, 27218, 9714, 17, 578, 73191, 21161, 220, 18, 27967, 95901, 6244, 264, 17657, 4488, 627, 9714, 18, 13596, 4538, 17971, 320, 65, 13, 10336, 17, 8, 11096, 279, 7626, 439, 264, 8427, 627, 9714, 23, 362, 502, 49639, 574, 11136, 719, 912, 11236, 527, 50801, 3967, 311, 3073, 627, 9714, 24, 12656, 2947, 125800, 622, 20191, 13, 37402, 2160, 3946, 505, 279, 7626, 323, 279, 3424, 374, 82280, 311, 813, 220, 18, 26419, 627, 9674, 16, 12656, 2947, 125800, 622, 20191, 13, 11021, 264, 26991, 2802, 304, 34131, 452, 14350, 612, 3623, 6272, 813, 39637, 4538, 11, 15274, 220, 1419, 320, 65, 13, 10336, 23, 570, 578, 7626, 3940, 11380, 304, 220, 9674, 20, 439, 34131, 452, 14350, 612, 2947, 125800, 520, 17355, 14173, 21785, 8803, 11, 3842, 6825, 11, 61125, 627, 9674, 17, 61125, 18524, 2103, 5039, 279, 4410, 2630, 80270, 2686, 369, 279, 2947, 125800, 17367, 627, 9674, 18, 362, 502, 49639, 574, 11136, 627, 53692, 420, 1253, 387, 220, 9674, 17, 439, 279, 24442, 6661, 311, 420, 8650, 1796, 320, 300, 32321, 1157, 1051, 1243, 2663, 8, 520, 279, 364, 39, 675, 3258, 6, 16730, 374, 719, 264, 6661, 33018, 264, 32828, 3430, 1160, 311, 279, 364, 97257, 660, 8650, 1796, 6, 1243, 304, 2515, 627, 9674, 20, 220, 17, 502, 17657, 49195, 527, 11784, 13, 364, 39, 18127, 689, 6, 323, 279, 364, 83926, 73191, 21161, 24482, 9674, 22, 220, 17, 303, 5020, 13, 12656, 2947, 125800, 622, 20191, 13, 8636, 627, 9674, 23, 3778, 14173, 32321, 361, 2360, 13, 16, 11136, 627, 9367, 16, 14, 17, 269, 220, 9367, 18, 362, 502, 49639, 574, 11136, 627, 9367, 18, 4723, 220, 1544, 339, 13, 12656, 18206, 2947, 125800, 8636, 627, 9367, 23, 362, 502, 6560, 49639, 574, 11136, 627, 9367, 23, 4448, 220, 16, 267, 13, 330, 44, 974, 3258, 612, 12103, 1, 574, 9879, 439, 264, 17657, 4488, 315, 468, 76, 13, 2947, 125800, 627, 9378, 22, 3842, 18206, 2947, 125800, 320, 82279, 478, 4538, 315, 76249, 18063, 8, 10862, 279, 2626, 627, 9378, 22, 362, 502, 49639, 574, 11136, 11, 719, 8051, 912, 47093, 33964, 574, 36762, 11, 433, 574, 2103, 6982, 439, 9076, 627, 9378, 22, 14, 23, 364, 45887, 2947, 125800, 323, 51838, 12604, 6, 574, 14454, 11, 323, 574, 9093, 1457, 264, 879, 2883, 627, 7028, 17, 1556, 4817, 16625, 24354, 57728, 574, 3940, 320, 1762, 18785, 682, 95931, 574, 2884, 555, 1972, 1450, 24354, 990, 570, 21253, 318, 27349, 33964, 5788, 59477, 627, 7028, 18, 13596, 502, 49639, 574, 11136, 304, 902, 279, 21253, 318, 27349, 33964, 374, 539, 10212, 627, 7028, 19, 220, 7994, 9305, 24125, 800, 13, 320, 35627, 35022, 315, 4997, 83, 13, 30631, 1729, 612, 51838, 889, 1047, 7882, 8, 574, 15075, 323, 279, 364, 13379, 386, 974, 3258, 612, 12103, 6, 11277, 3339, 2626, 574, 7882, 311, 61125, 505, 7295, 627, 7028, 23, 76249, 18063, 2947, 125800, 22311, 9564, 3842, 18206, 44, 8035, 645, 304, 6900, 627, 7028, 24, 364, 19952, 261, 452, 14350, 612, 3623, 13, 12604, 3238, 320, 4291, 279, 364, 40, 13, 30631, 1729, 6, 6696, 323, 13166, 1906, 8, 574, 15075, 627, 7529, 17, 89239, 2947, 125800, 11, 4538, 315, 18063, 60091, 11, 11096, 279, 2883, 627, 7529, 19, 69548, 439, 364, 80068, 12070, 315, 14173, 369, 682, 96880, 2737, 39739, 306, 388, 11, 25175, 13387, 99949, 323, 42272, 1941, 6, 449, 220, 3443, 8420, 627, 5926, 15, 5936, 578, 91858, 6012, 315, 220, 5833, 11, 220, 4218, 323, 220, 2421, 14829, 800, 13, 1051, 15075, 627, 5926, 18, 26349, 507, 86265, 435, 75072, 11, 279, 2294, 72102, 942, 315, 12656, 622, 20191, 2637, 10862, 279, 2626, 627, 7285, 17, 5651, 364, 19952, 261, 452, 14350, 612, 3623, 12604, 6, 7782, 279, 5708, 323, 82746, 315, 364, 13379, 30631, 1729, 612, 51838, 6, 449, 279, 32464, 364, 40, 612, 473, 30631, 1729, 6, 323, 279, 36565, 1906, 627, 7285, 22, 69548, 439, 364, 7896, 47198, 6, 449, 279, 364, 2059, 309, 21161, 6, 2678, 7526, 1906, 627, 7285, 23, 364, 10306, 6, 6883, 23162, 25761, 3940, 510, 1395, 4842, 6798, 25761, 430, 1051, 5780, 1903, 439, 459, 10778, 311, 279, 1450, 1903, 23162, 25761, 902, 1051, 2103, 9076, 439, 459, 10778, 719, 520, 5190, 7729, 27218, 6393, 15, 4448, 11291, 29868, 2947, 125800, 11, 4538, 315, 3842, 18206, 11, 10862, 279, 2626, 627, 66, 6393, 21, 11641, 2947, 125800, 11, 4538, 315, 89239, 11, 10862, 279, 2626, 627, 6280, 19, 578, 1630, 19, 9501, 11277, 315, 330, 9712, 2521, 4367, 4708, 574, 11784, 627, 5162, 16, 362, 502, 2134, 315, 5918, 709, 387, 4842, 6798, 364, 3246, 3079, 6, 25761, 449, 459, 11245, 60981, 574, 1176, 61149, 510, 16955, 15, 320, 57966, 8, 323, 220, 16955, 16, 320, 28233, 7400, 627, 5162, 16, 16782, 10212, 439, 364, 7896, 47198, 6, 323, 3515, 220, 3443, 8420, 627, 5162, 17, 3842, 18206, 2947, 125800, 85498, 3384, 813, 16478, 58832, 315, 279, 8351, 994, 433, 574, 6216, 53258, 311, 12656, 45995, 70, 3195, 612, 51838, 12604, 13, 323, 356, 5, 41, 64774, 12604, 627, 5162, 18, 3842, 18206, 2947, 125800, 8636, 627, 5162, 20, 7252, 4367, 387, 4842, 6798, 25761, 510, 2367, 19332, 60, 527, 11309, 505, 279, 8650, 1796, 13, 364, 10306, 6, 16835, 5780, 1903, 17, 303, 93869, 25761, 527, 2103, 10212, 627, 5162, 23, 364, 10306, 6, 6883, 25761, 527, 50682, 505, 6412, 11, 439, 527, 279, 220, 16955, 15, 323, 220, 16955, 16, 67316, 25761, 627, 4468, 16, 2360, 23162, 25761, 527, 1457, 6982, 369, 6412, 1131, 1820, 842, 315, 264, 50106, 315, 11277, 3339, 29869, 220, 8273, 1667, 627, 3753, 16, 362, 426, 32429, 1030, 315, 24067, 11021, 279, 2883, 13, 364, 32429, 1030, 13896, 2947, 125800, 6, 574, 14454, 627, 3753, 20, 362, 502, 8013, 2883, 22763, 2663, 13896, 54642, 902, 15075, 13896, 45995, 70, 3195, 12604, 13, 323, 364, 6607, 2947, 125800, 12404, 21837, 12604, 6, 3782, 1203, 1139, 14209, 627, 32, 471, 311, 8013, 15637, 11, 719, 1193, 3156, 220, 2550, 23, 627, 3753, 23, 578, 836, 13896, 2947, 125800, 320, 49492, 21837, 14173, 8, 12604, 13, 574, 2103, 304, 7958, 627, 2550, 16, 4800, 1120, 1234, 279, 48998, 315, 13896, 14173, 12604, 627, 2550, 18, 4800, 2663, 13896, 54642, 97562, 627, 2550, 23, 4800, 510, 33871, 60, 2663, 13896, 14173, 12604, 13, 719, 374, 1457, 264, 14829, 315, 3778, 13782, 32886, 4953, 627, 1049, 17, 578, 4459, 315, 430, 2883, 1457, 3782, 311, 387, 13234, 439, 1561, 616, 53406, 46342, 16853, 6153, 272, 13, 1049, 23, 16646, 24185, 5364, 946, 9705, 50, 7526, 11, 1051, 9124, 555, 35159, 304, 3060, 67980, 483, 11, 15704, 477, 4726, 364, 37440, 6, 510, 23078, 11, 323, 527, 1243, 719, 264, 12737, 315, 872, 4846, 4367, 627, 4516, 1120, 1306, 272, 13, 1049, 23, 499, 649, 21735, 904, 1695, 8013, 85060, 47555, 16058, 627, 39314, 527, 279, 364, 23312, 6, 505, 279, 5370, 7086, 16808, 1157, 430, 690, 1501, 279, 34692, 430, 10222, 927, 892, 311, 279, 473, 3336, 13974, 5987, 32904, 50, 2816, 627, 54, 9410, 74807, 38599, 9705, 50, 3651, 328, 30626, 220, 10750, 15, 12, 220, 3753, 18, 13, 128001, -100, 29967, 47510, 871, 78400, 2617, 871, 3234, 358, 9372, 15388, 5380, 40, 5117, 3640, 1603, 922, 279, 27873, 17368, 10092, 8766, 220, 7699, 15, 320, 8075, 5751, 7658, 44056, 323, 23088, 62612, 82, 3298, 4390, 5519, 358, 9372, 15388, 30, 374, 264, 502, 4901, 389, 5690, 922, 279, 26313, 220, 7699, 15, 13, 1102, 374, 17057, 555, 27560, 978, 406, 373, 11, 264, 2035, 369, 87899, 323, 279, 586, 304, 4689, 13, 7357, 2046, 814, 2586, 449, 264, 502, 2835, 13, 14853, 315, 1124, 304, 420, 1772, 627, 128001, -100, 11800, 304, 1057, 13566, 30534, 1565, 2068, 1555, 17262, 48672, 16136, 304, 264, 8205, 315, 18273, 11704, 11, 53640, 26793, 323, 11782, 1989, 10708, 13, 2435, 527, 18751, 1139, 279, 24978, 596, 6975, 3217, 323, 10666, 304, 264, 24073, 3130, 627, 791, 24978, 13639, 3493, 1057, 1403, 4771, 6418, 1555, 17262, 48672, 4325, 2911, 449, 2523, 323, 11782, 7640, 311, 1520, 1124, 4048, 922, 872, 13162, 323, 279, 12939, 315, 26677, 13, 2435, 6725, 502, 7512, 11, 20259, 872, 20547, 9048, 24569, 323, 4048, 3953, 430, 15253, 4642, 1514, 323, 5912, 10368, 13, 128001, -100, 40, 1440, 18098, 9355, 706, 13524, 1027, 5737, 9232, 279, 4459, 4901, 13, 1102, 3250, 956, 1520, 430, 279, 3754, 1274, 1193, 1934, 389, 1077, 25481, 3582, 3060, 13, 9086, 18098, 9355, 4536, 956, 3815, 477, 5605, 4205, 5076, 433, 596, 1120, 30931, 11011, 279, 1890, 3488, 330, 12840, 596, 701, 13010, 311, 296, 4942, 750, 5605, 420, 7673, 9086, 5613, 220, 18, 6476, 18098, 35262, 13010, 311, 4584, 50, 750, 8260, 1077, 79359, 788, 922, 220, 966, 3115, 2949, 220, 605, 4520, 994, 3420, 574, 1618, 13, 1628, 18098, 9355, 2744, 31680, 449, 1778, 21507, 330, 2746, 430, 596, 279, 4901, 4584, 50, 750, 6944, 311, 1629, 1243, 430, 596, 7060, 13, 358, 2846, 21760, 389, 1676, 17403, 598, 4819, 1210, 1102, 596, 1093, 559, 288, 60206, 1124, 311, 2610, 1077, 922, 1077, 10396, 323, 279, 3754, 1120, 49378, 433, 13, 1102, 596, 9193, 35711, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148 ]
[ 128000, 56, 14361, 452, 307, 969, 374, 42453, 292, 2800, 13, 7531, 264, 43535, 7858, 311, 10457, 1523, 320, 269, 2503, 705, 323, 1095, 70797, 3063, 499, 1555, 264, 33687, 43685, 311, 14195, 701, 4059, 11, 2547, 11, 323, 9090, 627, 12572, 5340, 50, 526, 266, 735, 4202, 369, 832, 6596, 264, 1938, 323, 1893, 264, 3831, 16665, 311, 2187, 701, 1888, 659, 311, 52554, 304, 220, 2366, 17, 4999, 16397, 1521, 220, 1272, 2919, 11, 584, 690, 26306, 304, 11, 44453, 369, 220, 2148, 4520, 11, 617, 892, 369, 22599, 323, 3345, 449, 220, 20, 4520, 315, 77674, 13, 7440, 18620, 20852, 374, 11349, 311, 1862, 18475, 323, 499, 527, 10788, 311, 2586, 304, 323, 704, 439, 499, 3207, 3025, 477, 2586, 369, 682, 220, 1272, 2919, 13, 2468, 279, 842, 315, 220, 1272, 2919, 11, 584, 690, 4822, 304, 5916, 369, 1912, 10430, 323, 11821, 627, 3905, 5977, 264, 68009, 505, 279, 63079, 27622, 339, 43059, 581, 320, 94528, 1171, 83662, 2991, 8, 369, 220, 1272, 2919, 374, 264, 32442, 6725, 311, 5398, 449, 279, 48913, 315, 8206, 304, 279, 4339, 315, 279, 1443, 28447, 323, 374, 2663, 1443, 28447, 63079, 627, 20944, 5659, 279, 28929, 315, 279, 22620, 4999, 3947, 374, 18547, 17277, 13, 578, 1005, 315, 18547, 84907, 374, 31069, 13, 4497, 323, 810, 1274, 527, 44114, 430, 1057, 1917, 374, 72257, 1534, 311, 279, 1486, 1070, 374, 912, 2133, 1203, 13, 578, 3938, 374, 539, 520, 682, 2867, 323, 279, 18338, 315, 2349, 374, 1193, 4062, 6147, 13, 1226, 2873, 311, 387, 19946, 369, 1063, 16188, 69027, 323, 4400, 4994, 5825, 20334, 627, 17818, 753, 31049, 704, 1070, 863, 323, 4461, 311, 636, 810, 31049, 11, 323, 3686, 420, 374, 279, 24473, 892, 311, 387, 2867, 922, 279, 1917, 584, 6562, 311, 617, 323, 311, 3351, 1139, 279, 28929, 315, 279, 22620, 11, 1405, 9096, 323, 99544, 31402, 11, 779, 584, 649, 387, 15528, 11, 19858, 11, 323, 7524, 627, 2746, 584, 527, 2133, 311, 1893, 279, 11376, 315, 279, 1917, 584, 2216, 10932, 1405, 584, 649, 9407, 1057, 27541, 323, 30598, 11, 539, 5226, 1124, 11, 323, 387, 24981, 3403, 311, 5371, 810, 1520, 323, 6848, 11, 584, 4250, 25760, 369, 27409, 13520, 555, 279, 28013, 4994, 627, 3947, 527, 5361, 9200, 7512, 430, 527, 4460, 311, 7293, 2867, 323, 19858, 304, 279, 18449, 315, 279, 22620, 13, 1472, 4805, 539, 1193, 4048, 1124, 11, 499, 4805, 6725, 1124, 11, 779, 499, 649, 3240, 311, 1781, 1633, 22009, 627, 9673, 527, 4330, 6989, 11, 1855, 389, 7742, 3814, 13, 13896, 826, 690, 387, 2561, 369, 13324, 1193, 11, 1288, 499, 1205, 311, 3194, 904, 315, 279, 4330, 16079, 13, 578, 27102, 19786, 690, 387, 5655, 11, 279, 20954, 49277, 11, 279, 4860, 66998, 627, 2746, 499, 1390, 311, 3974, 505, 701, 4851, 315, 23492, 11, 1304, 11709, 430, 527, 837, 311, 701, 6332, 11, 323, 539, 2187, 279, 4623, 315, 8850, 6108, 9647, 311, 52790, 15686, 701, 5655, 7962, 660, 6677, 315, 889, 499, 3604, 10932, 311, 387, 323, 1148, 3169, 315, 264, 1917, 499, 10932, 311, 3974, 304, 1389, 264, 2035, 315, 19858, 323, 99544, 11, 44701, 11, 323, 14392, 2136, 11, 1521, 527, 6989, 369, 499, 627, 12572, 603, 439, 584, 13488, 279, 220, 605, 81446, 315, 93987, 278, 6729, 38673, 323, 77571, 449, 6725, 11, 33862, 323, 4007, 13, 578, 1176, 9178, 11, 584, 690, 13488, 279, 1176, 4330, 13162, 323, 279, 2132, 9178, 11, 584, 690, 6381, 449, 279, 1566, 4330, 13162, 627, 3947, 527, 1690, 2680, 3585, 311, 3217, 1057, 2458, 2786, 1389, 523, 587, 13075, 11, 25685, 1385, 11, 21958, 11, 323, 279, 220, 605, 81446, 13, 578, 3823, 2547, 374, 1903, 709, 315, 5899, 13162, 25, 279, 7106, 2547, 11, 2380, 10723, 13162, 11, 323, 4848, 4907, 13162, 627, 1687, 3974, 304, 264, 7829, 315, 68331, 11, 3060, 41566, 323, 32003, 1057, 11704, 11, 477, 584, 1253, 14816, 449, 264, 15376, 1486, 315, 1684, 13, 21579, 311, 8335, 323, 311, 26306, 304, 449, 13520, 374, 912, 4228, 3465, 13, 17331, 459, 8830, 323, 6725, 315, 279, 220, 605, 13162, 11, 584, 617, 279, 5845, 311, 3351, 505, 279, 9434, 311, 279, 5419, 8405, 603, 279, 6776, 311, 3217, 264, 10748, 1614, 315, 25917, 1389, 279, 1455, 13513, 961, 315, 13520, 1389, 1057, 13479, 31074, 627, 16397, 1057, 892, 3871, 584, 690, 13488, 1981, 627, 4959, 315, 279, 220, 605, 81446, 449, 3230, 735, 462, 7911, 12808, 11, 2418, 2221, 323, 77571, 627, 89592, 11, 3217, 323, 1912, 10430, 14, 1229, 36121, 627, 20171, 323, 97464, 3749, 1389, 6914, 753, 3234, 1102, 14077, 4999, 4438, 527, 499, 8430, 30, 3277, 499, 2733, 3958, 11, 656, 499, 1440, 7041, 1148, 499, 1205, 311, 656, 311, 2733, 2731, 5380, 2028, 4101, 315, 6989, 690, 1501, 499, 1268, 311, 617, 2753, 1523, 892, 11, 17162, 25481, 11, 323, 2731, 13654, 994, 499, 636, 23268, 13, 20817, 389, 279, 2363, 95300, 72984, 25, 9601, 31886, 1183, 22099, 323, 17747, 13722, 1174, 5249, 279, 3229, 369, 7524, 14604, 659, 41206, 12659, 430, 690, 2231, 499, 389, 279, 11230, 3185, 315, 14604, 709, 5022, 627, 4959, 2046, 499, 690, 4048, 279, 7580, 315, 701, 17966, 21958, 11, 3217, 279, 5845, 311, 29166, 323, 4984, 1124, 11, 323, 636, 1063, 6721, 24826, 389, 904, 15082, 304, 701, 2324, 499, 7070, 1093, 311, 7417, 323, 9006, 13, 28582, 3725, 3318, 449, 21958, 374, 7718, 311, 8335, 11, 23871, 11, 323, 9096, 323, 6835, 499, 279, 2410, 311, 27661, 30988, 67903, 660, 88804, 12912, 627, 9673, 12823, 649, 16058, 2349, 701, 5133, 311, 5107, 16024, 627, 128001, 128000, 48, 25, 350, 561, 1100, 648, 482, 9742, 287, 8771, 2956, 17331, 80015, 8771, 358, 617, 264, 350, 561, 1100, 648, 5211, 320, 6396, 14562, 4888, 8, 902, 3966, 311, 2882, 279, 2909, 3138, 2062, 734, 311, 471, 279, 4495, 828, 994, 264, 1715, 374, 1903, 311, 279, 5446, 13, 358, 1205, 311, 2680, 6012, 315, 2500, 5211, 320, 6396, 4888, 11, 902, 706, 264, 3861, 29290, 5133, 449, 5546, 14562, 4888, 8, 304, 2015, 311, 656, 420, 13, 358, 649, 636, 459, 2937, 315, 279, 5546, 5211, 1701, 636, 54356, 18446, 368, 719, 358, 1541, 956, 1440, 1268, 311, 636, 828, 704, 315, 279, 1665, 13, 5810, 374, 856, 2082, 1457, 512, 1058, 5546, 4888, 27540, 4888, 997, 262, 2218, 284, 5151, 96929, 1915, 81713, 4888, 11, 364, 5775, 518, 2539, 3702, 340, 262, 5820, 284, 5151, 21017, 53295, 4888, 11, 364, 7323, 1329, 262, 892, 284, 5151, 96929, 1915, 48631, 1585, 1489, 4888, 11, 364, 1712, 518, 2539, 3702, 696, 262, 538, 16197, 512, 286, 40627, 284, 5546, 8549, 7825, 746, 286, 30770, 284, 341, 310, 364, 307, 6, 551, 13398, 345, 310, 364, 7323, 6, 551, 13398, 24880, 42307, 22545, 345, 257, 557, 1058, 5546, 14562, 4888, 41171, 997, 262, 3465, 284, 5151, 21017, 48631, 4888, 11, 364, 8366, 518, 2539, 3702, 340, 262, 6382, 284, 5151, 12927, 2892, 262, 711, 2909, 3138, 2062, 1214, 11, 1715, 11, 3146, 9872, 997, 286, 3465, 18446, 284, 659, 15384, 673, 54356, 18446, 1214, 340, 286, 3465, 284, 5546, 8549, 673, 3809, 28, 8366, 18446, 1801, 340, 286, 2217, 2062, 284, 3465, 70197, 5060, 48925, 1214, 32297, 696, 4071, 358, 2846, 3794, 279, 1493, 330, 396, 368, 5811, 2011, 387, 264, 925, 477, 264, 1396, 11, 539, 364, 4873, 1915, 15260, 1606, 3465, 18446, 1801, 374, 264, 4969, 1915, 1665, 323, 539, 279, 828, 5196, 13, 2650, 649, 358, 2680, 279, 5150, 8771, 828, 1980, 32, 25, 9934, 512, 8366, 284, 5546, 8549, 673, 3809, 16972, 17941, 18446, 1801, 4489, 128001 ]
[ -100, 56, 14361, 452, 307, 969, 374, 42453, 292, 2800, 13, 7531, 264, 43535, 7858, 311, 10457, 1523, 320, 269, 2503, 705, 323, 1095, 70797, 3063, 499, 1555, 264, 33687, 43685, 311, 14195, 701, 4059, 11, 2547, 11, 323, 9090, 627, 12572, 5340, 50, 526, 266, 735, 4202, 369, 832, 6596, 264, 1938, 323, 1893, 264, 3831, 16665, 311, 2187, 701, 1888, 659, 311, 52554, 304, 220, 2366, 17, 4999, 16397, 1521, 220, 1272, 2919, 11, 584, 690, 26306, 304, 11, 44453, 369, 220, 2148, 4520, 11, 617, 892, 369, 22599, 323, 3345, 449, 220, 20, 4520, 315, 77674, 13, 7440, 18620, 20852, 374, 11349, 311, 1862, 18475, 323, 499, 527, 10788, 311, 2586, 304, 323, 704, 439, 499, 3207, 3025, 477, 2586, 369, 682, 220, 1272, 2919, 13, 2468, 279, 842, 315, 220, 1272, 2919, 11, 584, 690, 4822, 304, 5916, 369, 1912, 10430, 323, 11821, 627, 3905, 5977, 264, 68009, 505, 279, 63079, 27622, 339, 43059, 581, 320, 94528, 1171, 83662, 2991, 8, 369, 220, 1272, 2919, 374, 264, 32442, 6725, 311, 5398, 449, 279, 48913, 315, 8206, 304, 279, 4339, 315, 279, 1443, 28447, 323, 374, 2663, 1443, 28447, 63079, 627, 20944, 5659, 279, 28929, 315, 279, 22620, 4999, 3947, 374, 18547, 17277, 13, 578, 1005, 315, 18547, 84907, 374, 31069, 13, 4497, 323, 810, 1274, 527, 44114, 430, 1057, 1917, 374, 72257, 1534, 311, 279, 1486, 1070, 374, 912, 2133, 1203, 13, 578, 3938, 374, 539, 520, 682, 2867, 323, 279, 18338, 315, 2349, 374, 1193, 4062, 6147, 13, 1226, 2873, 311, 387, 19946, 369, 1063, 16188, 69027, 323, 4400, 4994, 5825, 20334, 627, 17818, 753, 31049, 704, 1070, 863, 323, 4461, 311, 636, 810, 31049, 11, 323, 3686, 420, 374, 279, 24473, 892, 311, 387, 2867, 922, 279, 1917, 584, 6562, 311, 617, 323, 311, 3351, 1139, 279, 28929, 315, 279, 22620, 11, 1405, 9096, 323, 99544, 31402, 11, 779, 584, 649, 387, 15528, 11, 19858, 11, 323, 7524, 627, 2746, 584, 527, 2133, 311, 1893, 279, 11376, 315, 279, 1917, 584, 2216, 10932, 1405, 584, 649, 9407, 1057, 27541, 323, 30598, 11, 539, 5226, 1124, 11, 323, 387, 24981, 3403, 311, 5371, 810, 1520, 323, 6848, 11, 584, 4250, 25760, 369, 27409, 13520, 555, 279, 28013, 4994, 627, 3947, 527, 5361, 9200, 7512, 430, 527, 4460, 311, 7293, 2867, 323, 19858, 304, 279, 18449, 315, 279, 22620, 13, 1472, 4805, 539, 1193, 4048, 1124, 11, 499, 4805, 6725, 1124, 11, 779, 499, 649, 3240, 311, 1781, 1633, 22009, 627, 9673, 527, 4330, 6989, 11, 1855, 389, 7742, 3814, 13, 13896, 826, 690, 387, 2561, 369, 13324, 1193, 11, 1288, 499, 1205, 311, 3194, 904, 315, 279, 4330, 16079, 13, 578, 27102, 19786, 690, 387, 5655, 11, 279, 20954, 49277, 11, 279, 4860, 66998, 627, 2746, 499, 1390, 311, 3974, 505, 701, 4851, 315, 23492, 11, 1304, 11709, 430, 527, 837, 311, 701, 6332, 11, 323, 539, 2187, 279, 4623, 315, 8850, 6108, 9647, 311, 52790, 15686, 701, 5655, 7962, 660, 6677, 315, 889, 499, 3604, 10932, 311, 387, 323, 1148, 3169, 315, 264, 1917, 499, 10932, 311, 3974, 304, 1389, 264, 2035, 315, 19858, 323, 99544, 11, 44701, 11, 323, 14392, 2136, 11, 1521, 527, 6989, 369, 499, 627, 12572, 603, 439, 584, 13488, 279, 220, 605, 81446, 315, 93987, 278, 6729, 38673, 323, 77571, 449, 6725, 11, 33862, 323, 4007, 13, 578, 1176, 9178, 11, 584, 690, 13488, 279, 1176, 4330, 13162, 323, 279, 2132, 9178, 11, 584, 690, 6381, 449, 279, 1566, 4330, 13162, 627, 3947, 527, 1690, 2680, 3585, 311, 3217, 1057, 2458, 2786, 1389, 523, 587, 13075, 11, 25685, 1385, 11, 21958, 11, 323, 279, 220, 605, 81446, 13, 578, 3823, 2547, 374, 1903, 709, 315, 5899, 13162, 25, 279, 7106, 2547, 11, 2380, 10723, 13162, 11, 323, 4848, 4907, 13162, 627, 1687, 3974, 304, 264, 7829, 315, 68331, 11, 3060, 41566, 323, 32003, 1057, 11704, 11, 477, 584, 1253, 14816, 449, 264, 15376, 1486, 315, 1684, 13, 21579, 311, 8335, 323, 311, 26306, 304, 449, 13520, 374, 912, 4228, 3465, 13, 17331, 459, 8830, 323, 6725, 315, 279, 220, 605, 13162, 11, 584, 617, 279, 5845, 311, 3351, 505, 279, 9434, 311, 279, 5419, 8405, 603, 279, 6776, 311, 3217, 264, 10748, 1614, 315, 25917, 1389, 279, 1455, 13513, 961, 315, 13520, 1389, 1057, 13479, 31074, 627, 16397, 1057, 892, 3871, 584, 690, 13488, 1981, 627, 4959, 315, 279, 220, 605, 81446, 449, 3230, 735, 462, 7911, 12808, 11, 2418, 2221, 323, 77571, 627, 89592, 11, 3217, 323, 1912, 10430, 14, 1229, 36121, 627, 20171, 323, 97464, 3749, 1389, 6914, 753, 3234, 1102, 14077, 4999, 4438, 527, 499, 8430, 30, 3277, 499, 2733, 3958, 11, 656, 499, 1440, 7041, 1148, 499, 1205, 311, 656, 311, 2733, 2731, 5380, 2028, 4101, 315, 6989, 690, 1501, 499, 1268, 311, 617, 2753, 1523, 892, 11, 17162, 25481, 11, 323, 2731, 13654, 994, 499, 636, 23268, 13, 20817, 389, 279, 2363, 95300, 72984, 25, 9601, 31886, 1183, 22099, 323, 17747, 13722, 1174, 5249, 279, 3229, 369, 7524, 14604, 659, 41206, 12659, 430, 690, 2231, 499, 389, 279, 11230, 3185, 315, 14604, 709, 5022, 627, 4959, 2046, 499, 690, 4048, 279, 7580, 315, 701, 17966, 21958, 11, 3217, 279, 5845, 311, 29166, 323, 4984, 1124, 11, 323, 636, 1063, 6721, 24826, 389, 904, 15082, 304, 701, 2324, 499, 7070, 1093, 311, 7417, 323, 9006, 13, 28582, 3725, 3318, 449, 21958, 374, 7718, 311, 8335, 11, 23871, 11, 323, 9096, 323, 6835, 499, 279, 2410, 311, 27661, 30988, 67903, 660, 88804, 12912, 627, 9673, 12823, 649, 16058, 2349, 701, 5133, 311, 5107, 16024, 627, 128001, -100, 48, 25, 350, 561, 1100, 648, 482, 9742, 287, 8771, 2956, 17331, 80015, 8771, 358, 617, 264, 350, 561, 1100, 648, 5211, 320, 6396, 14562, 4888, 8, 902, 3966, 311, 2882, 279, 2909, 3138, 2062, 734, 311, 471, 279, 4495, 828, 994, 264, 1715, 374, 1903, 311, 279, 5446, 13, 358, 1205, 311, 2680, 6012, 315, 2500, 5211, 320, 6396, 4888, 11, 902, 706, 264, 3861, 29290, 5133, 449, 5546, 14562, 4888, 8, 304, 2015, 311, 656, 420, 13, 358, 649, 636, 459, 2937, 315, 279, 5546, 5211, 1701, 636, 54356, 18446, 368, 719, 358, 1541, 956, 1440, 1268, 311, 636, 828, 704, 315, 279, 1665, 13, 5810, 374, 856, 2082, 1457, 512, 1058, 5546, 4888, 27540, 4888, 997, 262, 2218, 284, 5151, 96929, 1915, 81713, 4888, 11, 364, 5775, 518, 2539, 3702, 340, 262, 5820, 284, 5151, 21017, 53295, 4888, 11, 364, 7323, 1329, 262, 892, 284, 5151, 96929, 1915, 48631, 1585, 1489, 4888, 11, 364, 1712, 518, 2539, 3702, 696, 262, 538, 16197, 512, 286, 40627, 284, 5546, 8549, 7825, 746, 286, 30770, 284, 341, 310, 364, 307, 6, 551, 13398, 345, 310, 364, 7323, 6, 551, 13398, 24880, 42307, 22545, 345, 257, 557, 1058, 5546, 14562, 4888, 41171, 997, 262, 3465, 284, 5151, 21017, 48631, 4888, 11, 364, 8366, 518, 2539, 3702, 340, 262, 6382, 284, 5151, 12927, 2892, 262, 711, 2909, 3138, 2062, 1214, 11, 1715, 11, 3146, 9872, 997, 286, 3465, 18446, 284, 659, 15384, 673, 54356, 18446, 1214, 340, 286, 3465, 284, 5546, 8549, 673, 3809, 28, 8366, 18446, 1801, 340, 286, 2217, 2062, 284, 3465, 70197, 5060, 48925, 1214, 32297, 696, 4071, 358, 2846, 3794, 279, 1493, 330, 396, 368, 5811, 2011, 387, 264, 925, 477, 264, 1396, 11, 539, 364, 4873, 1915, 15260, 1606, 3465, 18446, 1801, 374, 264, 4969, 1915, 1665, 323, 539, 279, 828, 5196, 13, 2650, 649, 358, 2680, 279, 5150, 8771, 828, 1980, 32, 25, 9934, 512, 8366, 284, 5546, 8549, 673, 3809, 16972, 17941, 18446, 1801, 4489, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 644, 459, 11639, 50585, 449, 2038, 11, 1405, 7493, 323, 58378, 15320, 87460, 2212, 603, 11, 279, 11003, 315, 4477, 9731, 311, 3412, 264, 5016, 11, 87435, 2410, 13, 578, 5845, 311, 68608, 4339, 1139, 58378, 430, 649, 31740, 11, 10383, 11, 323, 41316, 268, 3885, 374, 459, 1989, 439, 2362, 439, 892, 5196, 13, 3861, 3927, 889, 71325, 420, 1989, 449, 653, 16621, 839, 19248, 574, 279, 28812, 3778, 81747, 323, 2875, 46199, 7061, 11, 62023, 33924, 287, 3195, 13, 33924, 287, 3195, 3131, 51287, 1071, 11, 1054, 644, 2015, 311, 3350, 922, 2324, 1176, 499, 2011, 3974, 433, 11453, 3296, 420, 12929, 568, 35710, 603, 430, 279, 28591, 315, 4477, 3250, 1431, 48383, 21742, 304, 279, 66763, 315, 4221, 11, 477, 279, 28799, 1005, 315, 32465, 7766, 11, 719, 304, 279, 90030, 315, 279, 2324, 11704, 430, 10633, 1057, 7493, 627, 11772, 685, 315, 19048, 13538, 24838, 198, 20027, 22129, 33924, 287, 3195, 753, 28519, 430, 832, 2011, 1176, 3974, 2324, 304, 2015, 311, 3350, 922, 433, 99732, 398, 66159, 279, 6348, 8319, 481, 3560, 315, 4443, 3217, 304, 45167, 29280, 519, 58378, 13, 6104, 433, 753, 3284, 311, 3350, 922, 8278, 19476, 477, 5869, 77361, 7493, 21742, 505, 832, 753, 4059, 11, 4477, 430, 27741, 505, 279, 1664, 315, 12439, 3217, 3629, 29280, 988, 810, 17693, 449, 13016, 13, 1115, 374, 15871, 4245, 311, 2380, 1401, 8125, 512, 12, 47467, 488, 25, 362, 2324, 12439, 5825, 264, 12205, 315, 13513, 3769, 311, 4128, 505, 13, 1115, 54348, 374, 5107, 311, 46113, 1555, 28899, 7636, 13, 3277, 459, 3229, 14238, 505, 4443, 3217, 11, 279, 19775, 374, 73354, 3340, 449, 22785, 21958, 11, 11555, 11, 323, 25481, 430, 1304, 279, 3446, 810, 1375, 15436, 323, 43010, 311, 13016, 627, 12, 45020, 315, 46551, 25, 1398, 32836, 11627, 2555, 1176, 25417, 6209, 264, 5016, 13356, 323, 5655, 8830, 430, 5403, 477, 11011, 922, 433, 5042, 4250, 3493, 13, 1115, 8149, 315, 8830, 20682, 16483, 311, 25920, 4455, 11, 5885, 11, 323, 21958, 449, 11148, 685, 323, 13708, 11, 86644, 264, 810, 65280, 3217, 369, 279, 6742, 627, 12, 1252, 5118, 24639, 315, 70288, 25, 7357, 3927, 753, 2324, 3217, 374, 5016, 11, 323, 9093, 11, 1855, 1732, 706, 264, 5016, 3446, 311, 3371, 13, 38859, 505, 832, 753, 1866, 2324, 11704, 6276, 16483, 311, 3118, 264, 5016, 59485, 11, 264, 4443, 17615, 430, 7437, 872, 990, 10980, 505, 3885, 627, 45605, 49256, 25, 20288, 323, 26379, 198, 3923, 1587, 433, 3152, 311, 1054, 25859, 7373, 74022, 578, 7434, 374, 44122, 323, 649, 13592, 19407, 505, 1732, 311, 1732, 13, 1789, 1063, 11, 5496, 7373, 2643, 3152, 21646, 279, 1917, 323, 25051, 2204, 27833, 13, 1789, 3885, 11, 433, 1436, 21736, 43515, 5655, 1139, 279, 77563, 315, 20207, 90887, 11, 24919, 279, 57216, 40164, 315, 8198, 477, 17649, 13, 14968, 11, 369, 3885, 11, 433, 2643, 3152, 21583, 17693, 449, 1274, 11, 30164, 23222, 12135, 11, 323, 3339, 264, 6811, 304, 3885, 529, 6439, 13, 44840, 315, 279, 4443, 17931, 11, 5496, 7373, 18065, 56501, 2324, 449, 41328, 11, 71160, 11, 323, 11939, 11, 22815, 23387, 449, 279, 1917, 2212, 603, 4856, 1109, 5042, 6484, 627, 10267, 753, 1427, 520, 264, 2478, 10507, 315, 7931, 889, 4070, 12439, 7373, 11, 304, 2204, 5627, 11, 323, 1268, 420, 706, 16369, 872, 4477, 512, 16, 13, 7762, 36258, 283, 582, 25, 49386, 439, 264, 54047, 315, 279, 27894, 24367, 11, 36258, 283, 582, 753, 4477, 574, 66278, 28160, 555, 813, 11704, 13, 5414, 90773, 990, 11, 1054, 1966, 279, 9728, 2476, 574, 264, 18768, 46223, 18843, 32277, 11775, 430, 21249, 839, 813, 5425, 56971, 32078, 449, 813, 4885, 13, 17331, 813, 4443, 11704, 11, 568, 17439, 279, 9090, 315, 264, 9659, 430, 1060, 19212, 369, 11542, 11, 54348, 11, 323, 54557, 16267, 627, 17, 13, 51444, 23950, 283, 25, 23950, 283, 574, 459, 3778, 40360, 323, 8431, 3268, 28941, 889, 24465, 17345, 505, 1077, 2324, 11704, 304, 1077, 4375, 13, 5659, 1077, 20587, 30988, 311, 1077, 4642, 3560, 304, 279, 16803, 10734, 29098, 11, 23950, 283, 753, 11704, 17693, 28160, 1077, 32349, 323, 61801, 13, 6385, 68165, 32277, 990, 11, 1054, 40, 14521, 8595, 279, 356, 3359, 24214, 328, 826, 2476, 71849, 1077, 8333, 323, 56062, 11, 8405, 264, 8147, 61300, 311, 279, 3823, 8824, 311, 23075, 90930, 627, 18, 13, 21353, 39475, 63599, 25, 49386, 369, 813, 3021, 315, 3691, 323, 5944, 11, 39475, 63599, 36131, 27833, 2212, 279, 1917, 1555, 872, 31547, 1572, 13, 5414, 11704, 439, 264, 30806, 11, 63865, 11, 323, 27989, 22842, 315, 22706, 16369, 813, 4477, 11, 13239, 304, 1888, 48724, 6603, 1093, 1054, 85683, 74465, 863, 323, 1054, 32, 12797, 753, 14986, 2029, 39475, 63599, 753, 5016, 20955, 315, 58441, 6677, 11, 13042, 26793, 11, 323, 4443, 63851, 1903, 813, 4375, 29722, 16181, 627, 4959, 315, 1521, 16483, 43603, 2324, 304, 872, 5016, 5627, 11, 323, 872, 11704, 92266, 2324, 1139, 872, 4339, 11, 67908, 279, 13444, 11, 6784, 11, 323, 23965, 315, 279, 3823, 3044, 13, 11205, 4375, 53209, 33924, 287, 3195, 753, 24278, 11, 64042, 603, 430, 5496, 7373, 374, 279, 1176, 3094, 311, 4477, 17693, 323, 4259, 306, 2740, 627, 791, 33907, 1990, 19048, 323, 24838, 198, 791, 5133, 1990, 5496, 323, 4477, 374, 3117, 810, 28254, 1109, 433, 15453, 8111, 13, 2435, 527, 539, 16632, 1403, 12742, 7640, 719, 4856, 11, 814, 527, 17693, 83416, 13878, 315, 279, 3823, 3217, 11, 1855, 31518, 287, 323, 23201, 7922, 279, 1023, 627, 16, 13, 19048, 30353, 2053, 24838, 25, 1666, 14407, 304, 3766, 14491, 11, 2324, 11704, 3493, 7257, 3769, 369, 1057, 58378, 13, 5751, 24654, 11, 35006, 11, 94898, 11, 25551, 1849, 11, 38586, 82, 11, 323, 28950, 682, 8854, 439, 56193, 8336, 315, 20343, 369, 1057, 4477, 13, 19048, 2324, 449, 71160, 323, 41328, 29575, 603, 1139, 27989, 37643, 323, 36681, 5411, 18412, 5153, 315, 279, 3823, 3044, 11, 902, 304, 2543, 57924, 1057, 5845, 311, 3350, 4259, 306, 2740, 323, 29722, 398, 627, 17, 13, 24838, 29757, 3095, 19048, 25, 6104, 433, 753, 2867, 430, 5496, 34453, 1057, 4477, 11, 433, 753, 18813, 3062, 311, 25670, 430, 279, 1180, 315, 4477, 649, 18885, 1057, 8830, 323, 35996, 315, 2324, 13, 24838, 8603, 603, 311, 8881, 389, 1057, 11704, 11, 311, 82845, 19662, 1139, 1057, 11555, 323, 16024, 13, 1115, 26609, 9262, 1920, 649, 3063, 311, 28254, 659, 10694, 3773, 552, 11, 4443, 6650, 11, 323, 264, 7191, 8830, 315, 279, 1917, 2212, 603, 13, 24296, 11, 4477, 6276, 603, 311, 60214, 553, 1057, 11704, 11, 40880, 96435, 14269, 323, 21958, 304, 4339, 11, 28592, 10923, 603, 311, 65878, 11, 312, 48391, 11, 323, 4048, 505, 1124, 627, 18, 13, 578, 37957, 22070, 315, 19048, 323, 24838, 25, 2684, 374, 264, 6926, 11302, 6471, 1990, 5496, 323, 4477, 13, 5751, 11704, 10633, 1057, 4477, 11, 1418, 279, 26793, 584, 8895, 505, 4477, 6179, 1268, 584, 5603, 1057, 6439, 13, 1115, 67754, 62114, 5133, 20682, 603, 311, 3139, 2225, 439, 16483, 323, 439, 7931, 13, 9062, 502, 3217, 6835, 603, 7878, 39555, 311, 3350, 922, 11, 323, 279, 1180, 315, 67371, 1521, 11704, 1139, 4339, 4726, 5655, 729, 1057, 8830, 315, 1124, 627, 2170, 584, 11879, 1555, 279, 9257, 17401, 4720, 315, 2324, 11, 584, 1505, 13520, 304, 279, 19091, 3560, 315, 20142, 323, 70402, 13, 1226, 16988, 449, 279, 1917, 11, 584, 3217, 11, 584, 4048, 11, 323, 584, 3139, 13, 1628, 994, 584, 1935, 709, 279, 5869, 311, 3350, 11, 584, 5276, 505, 70402, 1139, 21249, 9438, 315, 279, 3823, 3217, 13, 17331, 1057, 4339, 11, 584, 12602, 279, 28591, 315, 2324, 439, 584, 45493, 433, 11, 8405, 1057, 13016, 449, 94162, 288, 1139, 1057, 1917, 11, 1057, 39555, 11, 323, 1057, 35826, 627, 20027, 22129, 33924, 287, 3195, 753, 24278, 11, 1054, 644, 2015, 311, 3350, 922, 2324, 1176, 499, 2011, 3974, 433, 2476, 1234, 8128, 420, 57216, 15612, 1990, 5496, 323, 4477, 13, 1115, 27501, 706, 4529, 603, 1555, 279, 16595, 3717, 1990, 279, 1403, 11, 45296, 430, 13513, 4477, 42242, 505, 279, 1664, 315, 12439, 11704, 11, 1418, 279, 1920, 315, 4477, 4726, 31518, 288, 1057, 8830, 315, 2324, 627, 13699, 4557, 25, 358, 4745, 856, 1648, 311, 2450, 1389, 11355, 74876, 128001, 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 3053, 358, 3113, 2217, 320, 1527, 426, 10911, 8, 304, 279, 22727, 1934, 5380, 5223, 62, 15, 25, 21694, 49846, 4919, 499, 4587, 6179, 603, 922, 649, 584, 1005, 12041, 1174, 24295, 8310, 304, 279, 12882, 22727, 1160, 30, 881, 4438, 1288, 358, 14749, 311, 636, 279, 5071, 12882, 30, 881, 13359, 499, 0, 1115, 374, 264, 1633, 1005, 9054, 9183, 46726, 6600, 1900, 1909, 3112, 13075, 198, 27, 11407, 18104, 29, 5223, 62, 16, 25, 571, 5223, 62, 15, 2591, 2822, 11, 279, 20206, 3502, 3250, 956, 1862, 24295, 3330, 18304, 2746, 358, 1053, 1205, 311, 1304, 433, 2884, 358, 1053, 1781, 922, 1701, 2800, 2532, 13758, 24295, 2262, 13, 5112, 1005, 279, 2800, 2532, 439, 279, 2592, 369, 5071, 4877, 902, 374, 6052, 505, 5822, 3319, 18304, 96568, 319, 33, 472, 437, 89, 128001 ]
[ -100, 644, 459, 11639, 50585, 449, 2038, 11, 1405, 7493, 323, 58378, 15320, 87460, 2212, 603, 11, 279, 11003, 315, 4477, 9731, 311, 3412, 264, 5016, 11, 87435, 2410, 13, 578, 5845, 311, 68608, 4339, 1139, 58378, 430, 649, 31740, 11, 10383, 11, 323, 41316, 268, 3885, 374, 459, 1989, 439, 2362, 439, 892, 5196, 13, 3861, 3927, 889, 71325, 420, 1989, 449, 653, 16621, 839, 19248, 574, 279, 28812, 3778, 81747, 323, 2875, 46199, 7061, 11, 62023, 33924, 287, 3195, 13, 33924, 287, 3195, 3131, 51287, 1071, 11, 1054, 644, 2015, 311, 3350, 922, 2324, 1176, 499, 2011, 3974, 433, 11453, 3296, 420, 12929, 568, 35710, 603, 430, 279, 28591, 315, 4477, 3250, 1431, 48383, 21742, 304, 279, 66763, 315, 4221, 11, 477, 279, 28799, 1005, 315, 32465, 7766, 11, 719, 304, 279, 90030, 315, 279, 2324, 11704, 430, 10633, 1057, 7493, 627, 11772, 685, 315, 19048, 13538, 24838, 198, 20027, 22129, 33924, 287, 3195, 753, 28519, 430, 832, 2011, 1176, 3974, 2324, 304, 2015, 311, 3350, 922, 433, 99732, 398, 66159, 279, 6348, 8319, 481, 3560, 315, 4443, 3217, 304, 45167, 29280, 519, 58378, 13, 6104, 433, 753, 3284, 311, 3350, 922, 8278, 19476, 477, 5869, 77361, 7493, 21742, 505, 832, 753, 4059, 11, 4477, 430, 27741, 505, 279, 1664, 315, 12439, 3217, 3629, 29280, 988, 810, 17693, 449, 13016, 13, 1115, 374, 15871, 4245, 311, 2380, 1401, 8125, 512, 12, 47467, 488, 25, 362, 2324, 12439, 5825, 264, 12205, 315, 13513, 3769, 311, 4128, 505, 13, 1115, 54348, 374, 5107, 311, 46113, 1555, 28899, 7636, 13, 3277, 459, 3229, 14238, 505, 4443, 3217, 11, 279, 19775, 374, 73354, 3340, 449, 22785, 21958, 11, 11555, 11, 323, 25481, 430, 1304, 279, 3446, 810, 1375, 15436, 323, 43010, 311, 13016, 627, 12, 45020, 315, 46551, 25, 1398, 32836, 11627, 2555, 1176, 25417, 6209, 264, 5016, 13356, 323, 5655, 8830, 430, 5403, 477, 11011, 922, 433, 5042, 4250, 3493, 13, 1115, 8149, 315, 8830, 20682, 16483, 311, 25920, 4455, 11, 5885, 11, 323, 21958, 449, 11148, 685, 323, 13708, 11, 86644, 264, 810, 65280, 3217, 369, 279, 6742, 627, 12, 1252, 5118, 24639, 315, 70288, 25, 7357, 3927, 753, 2324, 3217, 374, 5016, 11, 323, 9093, 11, 1855, 1732, 706, 264, 5016, 3446, 311, 3371, 13, 38859, 505, 832, 753, 1866, 2324, 11704, 6276, 16483, 311, 3118, 264, 5016, 59485, 11, 264, 4443, 17615, 430, 7437, 872, 990, 10980, 505, 3885, 627, 45605, 49256, 25, 20288, 323, 26379, 198, 3923, 1587, 433, 3152, 311, 1054, 25859, 7373, 74022, 578, 7434, 374, 44122, 323, 649, 13592, 19407, 505, 1732, 311, 1732, 13, 1789, 1063, 11, 5496, 7373, 2643, 3152, 21646, 279, 1917, 323, 25051, 2204, 27833, 13, 1789, 3885, 11, 433, 1436, 21736, 43515, 5655, 1139, 279, 77563, 315, 20207, 90887, 11, 24919, 279, 57216, 40164, 315, 8198, 477, 17649, 13, 14968, 11, 369, 3885, 11, 433, 2643, 3152, 21583, 17693, 449, 1274, 11, 30164, 23222, 12135, 11, 323, 3339, 264, 6811, 304, 3885, 529, 6439, 13, 44840, 315, 279, 4443, 17931, 11, 5496, 7373, 18065, 56501, 2324, 449, 41328, 11, 71160, 11, 323, 11939, 11, 22815, 23387, 449, 279, 1917, 2212, 603, 4856, 1109, 5042, 6484, 627, 10267, 753, 1427, 520, 264, 2478, 10507, 315, 7931, 889, 4070, 12439, 7373, 11, 304, 2204, 5627, 11, 323, 1268, 420, 706, 16369, 872, 4477, 512, 16, 13, 7762, 36258, 283, 582, 25, 49386, 439, 264, 54047, 315, 279, 27894, 24367, 11, 36258, 283, 582, 753, 4477, 574, 66278, 28160, 555, 813, 11704, 13, 5414, 90773, 990, 11, 1054, 1966, 279, 9728, 2476, 574, 264, 18768, 46223, 18843, 32277, 11775, 430, 21249, 839, 813, 5425, 56971, 32078, 449, 813, 4885, 13, 17331, 813, 4443, 11704, 11, 568, 17439, 279, 9090, 315, 264, 9659, 430, 1060, 19212, 369, 11542, 11, 54348, 11, 323, 54557, 16267, 627, 17, 13, 51444, 23950, 283, 25, 23950, 283, 574, 459, 3778, 40360, 323, 8431, 3268, 28941, 889, 24465, 17345, 505, 1077, 2324, 11704, 304, 1077, 4375, 13, 5659, 1077, 20587, 30988, 311, 1077, 4642, 3560, 304, 279, 16803, 10734, 29098, 11, 23950, 283, 753, 11704, 17693, 28160, 1077, 32349, 323, 61801, 13, 6385, 68165, 32277, 990, 11, 1054, 40, 14521, 8595, 279, 356, 3359, 24214, 328, 826, 2476, 71849, 1077, 8333, 323, 56062, 11, 8405, 264, 8147, 61300, 311, 279, 3823, 8824, 311, 23075, 90930, 627, 18, 13, 21353, 39475, 63599, 25, 49386, 369, 813, 3021, 315, 3691, 323, 5944, 11, 39475, 63599, 36131, 27833, 2212, 279, 1917, 1555, 872, 31547, 1572, 13, 5414, 11704, 439, 264, 30806, 11, 63865, 11, 323, 27989, 22842, 315, 22706, 16369, 813, 4477, 11, 13239, 304, 1888, 48724, 6603, 1093, 1054, 85683, 74465, 863, 323, 1054, 32, 12797, 753, 14986, 2029, 39475, 63599, 753, 5016, 20955, 315, 58441, 6677, 11, 13042, 26793, 11, 323, 4443, 63851, 1903, 813, 4375, 29722, 16181, 627, 4959, 315, 1521, 16483, 43603, 2324, 304, 872, 5016, 5627, 11, 323, 872, 11704, 92266, 2324, 1139, 872, 4339, 11, 67908, 279, 13444, 11, 6784, 11, 323, 23965, 315, 279, 3823, 3044, 13, 11205, 4375, 53209, 33924, 287, 3195, 753, 24278, 11, 64042, 603, 430, 5496, 7373, 374, 279, 1176, 3094, 311, 4477, 17693, 323, 4259, 306, 2740, 627, 791, 33907, 1990, 19048, 323, 24838, 198, 791, 5133, 1990, 5496, 323, 4477, 374, 3117, 810, 28254, 1109, 433, 15453, 8111, 13, 2435, 527, 539, 16632, 1403, 12742, 7640, 719, 4856, 11, 814, 527, 17693, 83416, 13878, 315, 279, 3823, 3217, 11, 1855, 31518, 287, 323, 23201, 7922, 279, 1023, 627, 16, 13, 19048, 30353, 2053, 24838, 25, 1666, 14407, 304, 3766, 14491, 11, 2324, 11704, 3493, 7257, 3769, 369, 1057, 58378, 13, 5751, 24654, 11, 35006, 11, 94898, 11, 25551, 1849, 11, 38586, 82, 11, 323, 28950, 682, 8854, 439, 56193, 8336, 315, 20343, 369, 1057, 4477, 13, 19048, 2324, 449, 71160, 323, 41328, 29575, 603, 1139, 27989, 37643, 323, 36681, 5411, 18412, 5153, 315, 279, 3823, 3044, 11, 902, 304, 2543, 57924, 1057, 5845, 311, 3350, 4259, 306, 2740, 323, 29722, 398, 627, 17, 13, 24838, 29757, 3095, 19048, 25, 6104, 433, 753, 2867, 430, 5496, 34453, 1057, 4477, 11, 433, 753, 18813, 3062, 311, 25670, 430, 279, 1180, 315, 4477, 649, 18885, 1057, 8830, 323, 35996, 315, 2324, 13, 24838, 8603, 603, 311, 8881, 389, 1057, 11704, 11, 311, 82845, 19662, 1139, 1057, 11555, 323, 16024, 13, 1115, 26609, 9262, 1920, 649, 3063, 311, 28254, 659, 10694, 3773, 552, 11, 4443, 6650, 11, 323, 264, 7191, 8830, 315, 279, 1917, 2212, 603, 13, 24296, 11, 4477, 6276, 603, 311, 60214, 553, 1057, 11704, 11, 40880, 96435, 14269, 323, 21958, 304, 4339, 11, 28592, 10923, 603, 311, 65878, 11, 312, 48391, 11, 323, 4048, 505, 1124, 627, 18, 13, 578, 37957, 22070, 315, 19048, 323, 24838, 25, 2684, 374, 264, 6926, 11302, 6471, 1990, 5496, 323, 4477, 13, 5751, 11704, 10633, 1057, 4477, 11, 1418, 279, 26793, 584, 8895, 505, 4477, 6179, 1268, 584, 5603, 1057, 6439, 13, 1115, 67754, 62114, 5133, 20682, 603, 311, 3139, 2225, 439, 16483, 323, 439, 7931, 13, 9062, 502, 3217, 6835, 603, 7878, 39555, 311, 3350, 922, 11, 323, 279, 1180, 315, 67371, 1521, 11704, 1139, 4339, 4726, 5655, 729, 1057, 8830, 315, 1124, 627, 2170, 584, 11879, 1555, 279, 9257, 17401, 4720, 315, 2324, 11, 584, 1505, 13520, 304, 279, 19091, 3560, 315, 20142, 323, 70402, 13, 1226, 16988, 449, 279, 1917, 11, 584, 3217, 11, 584, 4048, 11, 323, 584, 3139, 13, 1628, 994, 584, 1935, 709, 279, 5869, 311, 3350, 11, 584, 5276, 505, 70402, 1139, 21249, 9438, 315, 279, 3823, 3217, 13, 17331, 1057, 4339, 11, 584, 12602, 279, 28591, 315, 2324, 439, 584, 45493, 433, 11, 8405, 1057, 13016, 449, 94162, 288, 1139, 1057, 1917, 11, 1057, 39555, 11, 323, 1057, 35826, 627, 20027, 22129, 33924, 287, 3195, 753, 24278, 11, 1054, 644, 2015, 311, 3350, 922, 2324, 1176, 499, 2011, 3974, 433, 2476, 1234, 8128, 420, 57216, 15612, 1990, 5496, 323, 4477, 13, 1115, 27501, 706, 4529, 603, 1555, 279, 16595, 3717, 1990, 279, 1403, 11, 45296, 430, 13513, 4477, 42242, 505, 279, 1664, 315, 12439, 11704, 11, 1418, 279, 1920, 315, 4477, 4726, 31518, 288, 1057, 8830, 315, 2324, 627, 13699, 4557, 25, 358, 4745, 856, 1648, 311, 2450, 1389, 11355, 74876, 128001, -100, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 3053, 358, 3113, 2217, 320, 1527, 426, 10911, 8, 304, 279, 22727, 1934, 5380, 5223, 62, 15, 25, 21694, 49846, 4919, 499, 4587, 6179, 603, 922, 649, 584, 1005, 12041, 1174, 24295, 8310, 304, 279, 12882, 22727, 1160, 30, 881, 4438, 1288, 358, 14749, 311, 636, 279, 5071, 12882, 30, 881, 13359, 499, 0, 1115, 374, 264, 1633, 1005, 9054, 9183, 46726, 6600, 1900, 1909, 3112, 13075, 198, 27, 11407, 18104, 29, 5223, 62, 16, 25, 571, 5223, 62, 15, 2591, 2822, 11, 279, 20206, 3502, 3250, 956, 1862, 24295, 3330, 18304, 2746, 358, 1053, 1205, 311, 1304, 433, 2884, 358, 1053, 1781, 922, 1701, 2800, 2532, 13758, 24295, 2262, 13, 5112, 1005, 279, 2800, 2532, 439, 279, 2592, 369, 5071, 4877, 902, 374, 6052, 505, 5822, 3319, 18304, 96568, 319, 33, 472, 437, 89, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144 ]
[ 128000, 2971, 17851, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 5060, 24234, 14, 23864, 26088, 1721, 14, 26058, 12251, 9716, 4924, 13, 15, 4924, 340, 80245, 389, 1268, 499, 1518, 433, 11, 8079, 13658, 753, 6574, 1990, 31719, 6164, 304, 2225, 9875, 323, 279, 5929, 4783, 922, 15443, 2001, 323, 11, 11951, 11, 922, 279, 3938, 315, 279, 220, 21741, 11, 931, 45571, 20550, 889, 527, 13490, 872, 990, 29790, 323, 59371, 37424, 9523, 311, 4900, 9641, 3420, 753, 6250, 5597, 311, 842, 279, 76615, 5703, 369, 72410, 18925, 18734, 320, 35, 63638, 8, 2068, 2001, 374, 3060, 2294, 3754, 477, 264, 1879, 315, 46996, 627, 1966, 832, 1450, 11, 420, 374, 6118, 279, 1648, 2574, 636, 2884, 1234, 3420, 320, 438, 1603, 1461, 7250, 1680, 1566, 24401, 24345, 4315, 31719, 11692, 13, 2030, 304, 279, 1162, 315, 80674, 11, 433, 5084, 1093, 810, 24345, 527, 3169, 315, 279, 1566, 3245, 279, 11249, 3966, 627, 32, 52008, 1912, 315, 40020, 11, 6197, 555, 5476, 13, 23373, 20742, 7006, 320, 35, 12, 1750, 8, 323, 5476, 13, 12149, 96415, 320, 49, 6830, 57, 705, 374, 3318, 3871, 311, 5286, 704, 264, 3568, 430, 690, 636, 220, 1399, 12973, 304, 279, 10092, 323, 264, 8857, 315, 12973, 304, 279, 4783, 323, 30503, 311, 279, 4872, 753, 18496, 264, 2478, 2919, 1306, 433, 753, 7376, 13, 2030, 1884, 24345, 617, 1027, 14529, 369, 4038, 11, 2085, 264, 7055, 315, 12410, 505, 11692, 477, 279, 5929, 4783, 627, 3112, 1243, 1070, 574, 279, 6574, 1403, 5672, 4227, 11, 304, 902, 5929, 4783, 14681, 315, 17381, 3842, 19178, 2322, 449, 279, 4553, 9540, 8722, 2001, 477, 520, 3325, 11, 279, 4459, 15443, 20326, 315, 13063, 304, 279, 10092, 11, 505, 96415, 311, 6522, 15443, 76920, 5476, 13, 8529, 38796, 320, 49, 12, 946, 4390, 791, 2144, 430, 13063, 11, 11951, 11, 1541, 1431, 5101, 311, 617, 7378, 389, 889, 374, 1524, 8647, 369, 44725, 389, 80674, 374, 279, 1401, 25, 55106, 11, 279, 9540, 8722, 374, 2103, 44725, 449, 5196, 922, 1268, 25587, 433, 3604, 6944, 311, 1304, 264, 3568, 35047, 2746, 814, 10491, 814, 1390, 311, 636, 311, 10035, 389, 264, 80674, 3568, 11, 279, 4947, 649, 4498, 1139, 2035, 5128, 6847, 2001, 9523, 311, 279, 14529, 52008, 10092, 24345, 11, 323, 279, 2144, 430, 11, 42762, 11, 433, 753, 5128, 4228, 311, 13085, 264, 30485, 2225, 11314, 1053, 387, 6380, 449, 13, 2030, 814, 617, 311, 10491, 814, 1390, 311, 11, 1176, 627, 3112, 422, 814, 1390, 311, 1304, 279, 6186, 220, 777, 339, 22143, 2001, 477, 279, 1054, 408, 315, 6186, 863, 47783, 22143, 11, 477, 279, 5587, 220, 20, 9214, 8838, 12, 16455, 12, 18310, 29721, 17453, 45803, 7561, 11477, 22143, 2001, 814, 1541, 1431, 617, 1790, 892, 2163, 311, 39666, 627, 67579, 8401, 12727, 29964, 12534, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 43399, 24849, 14, 23031, 26058, 20, 14, 25238, 23776, 11286, 4924, 4924, 340, 2746, 814, 4934, 311, 24354, 704, 264, 4121, 11, 814, 1053, 617, 2671, 198, 50, 20222, 279, 80674, 3575, 1053, 1397, 1063, 3392, 315, 5149, 505, 8151, 13, 1102, 1053, 617, 311, 1522, 264, 4121, 430, 3604, 1903, 4442, 311, 15443, 2383, 627, 791, 3420, 8735, 3940, 54826, 80674, 1523, 304, 6250, 11, 323, 9214, 315, 1274, 617, 2736, 5675, 872, 990, 29790, 304, 279, 4038, 2533, 1243, 26, 2586, 5587, 220, 20, 11, 422, 8151, 12775, 1431, 31532, 3686, 11, 3892, 7895, 80674, 34876, 690, 9229, 872, 990, 29790, 320, 438, 3719, 20134, 311, 8163, 11, 33273, 11, 323, 59371, 8, 1475, 3254, 1938, 13, 8151, 649, 1431, 3009, 430, 505, 12765, 1120, 555, 33459, 264, 22143, 11, 477, 555, 21939, 3300, 520, 279, 3575, 13, 1102, 1053, 617, 311, 1522, 264, 4121, 430, 1903, 433, 3284, 369, 279, 20550, 2682, 555, 80674, 311, 3719, 26267, 17446, 311, 990, 323, 7293, 304, 279, 2326, 555, 1063, 1023, 3445, 627, 791, 1455, 31439, 1648, 311, 656, 420, 11, 315, 3388, 11, 1053, 387, 311, 2187, 279, 1274, 889, 1051, 9960, 555, 80674, 311, 3881, 311, 387, 5897, 20550, 2001, 459, 3072, 814, 1541, 1431, 5131, 617, 13, 320, 71744, 11, 19287, 1650, 420, 1054, 6564, 4954, 863, 20550, 11, 719, 433, 753, 539, 459, 17392, 3245, 2001, 279, 37650, 1053, 617, 311, 1935, 20770, 29275, 96850, 369, 8151, 11, 5897, 4954, 80674, 34876, 374, 17235, 5526, 4315, 279, 3778, 586, 2001, 323, 1524, 279, 37650, 1355, 99020, 950, 1054, 16509, 2385, 863, 374, 5128, 17339, 449, 20550, 1093, 279, 423, 16294, 388, 11, 889, 527, 6498, 62290, 36504, 11062, 33142, 304, 3778, 8853, 13, 9176, 15692, 13063, 527, 389, 279, 3335, 5605, 430, 2555, 3966, 311, 387, 2884, 311, 2187, 80674, 34876, 311, 4822, 304, 279, 2326, 26, 1633, 2478, 11, 304, 3293, 4038, 11, 617, 8208, 389, 279, 3335, 2403, 433, 627, 3947, 3250, 1431, 1524, 5101, 311, 387, 264, 2294, 3568, 315, 11249, 927, 3508, 814, 1288, 13967, 387, 5535, 311, 3881, 369, 33779, 2001, 264, 2466, 50938, 12, 69555, 38072, 1486, 304, 3766, 15443, 37635, 13, 5046, 279, 2380, 3555, 8, 19123, 430, 5131, 3073, 304, 8151, 311, 2187, 80674, 12, 69150, 20550, 311, 3881, 369, 5897, 2704, 11, 1403, 617, 264, 1853, 311, 42835, 33779, 13, 320, 791, 4948, 1053, 89013, 80674, 34876, 369, 2380, 1667, 11, 40294, 279, 3488, 315, 1148, 8741, 1306, 220, 2366, 16, 311, 279, 1828, 8151, 29275, 67579, 8401, 12727, 29964, 12534, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 43399, 24849, 14, 23031, 12251, 16, 14, 21848, 4645, 14125, 4924, 4924, 340, 31887, 11, 279, 91972, 420, 733, 21691, 527, 922, 1148, 8151, 1288, 656, 389, 15443, 304, 5369, 311, 5897, 4954, 80674, 34876, 2001, 1148, 3460, 315, 1054, 37171, 33583, 863, 1288, 387, 30526, 11, 304, 279, 1376, 315, 7319, 11006, 369, 279, 2326, 10482, 327, 4042, 3973, 26, 7319, 13627, 304, 279, 15135, 315, 279, 2326, 26, 323, 17294, 389, 3938, 5897, 15443, 627, 644, 10334, 11, 430, 753, 1148, 279, 1510, 24345, 527, 922, 13, 2030, 433, 753, 2653, 369, 24345, 311, 1304, 3403, 5208, 994, 1063, 315, 279, 1274, 44725, 9167, 1431, 6773, 1148, 11, 7041, 11, 872, 18651, 527, 2001, 1606, 814, 9167, 1431, 6773, 3508, 814, 3207, 4560, 311, 636, 311, 10035, 11, 477, 6230, 369, 279, 18266, 627, 1671, 974, 3568, 374, 433, 13971, 5380, 791, 40020, 6522, 279, 24345, 2001, 20742, 7006, 323, 96415, 2001, 617, 2225, 1027, 2867, 430, 814, 527, 4560, 311, 1304, 264, 3568, 430, 649, 3604, 1522, 25, 2555, 430, 264, 8, 47783, 323, 13960, 690, 7655, 311, 4546, 311, 279, 6558, 11, 293, 8, 520, 3325, 220, 1399, 40020, 323, 264, 8857, 315, 4783, 3697, 690, 7055, 369, 11, 323, 272, 8, 4900, 3420, 690, 1879, 627, 2181, 753, 539, 2653, 311, 13085, 264, 4121, 430, 1053, 27651, 320, 65, 570, 7648, 13063, 304, 8151, 9167, 1431, 1903, 3230, 18651, 369, 80674, 6696, 33583, 11, 323, 779, 1063, 3392, 315, 11006, 369, 1054, 9649, 4868, 863, 1436, 387, 3403, 311, 636, 1124, 389, 4580, 422, 814, 7020, 814, 1047, 279, 25695, 315, 11692, 323, 279, 4872, 627, 4071, 320, 64, 8, 323, 320, 66, 8, 527, 14397, 1291, 627, 26353, 39594, 5678, 12775, 1431, 1903, 904, 18651, 389, 15443, 13, 2030, 568, 706, 40728, 279, 35602, 3298, 11, 264, 4121, 11784, 14738, 60845, 555, 264, 1912, 315, 15692, 13063, 320, 438, 5439, 555, 10092, 53129, 10554, 10716, 323, 57588, 15046, 34349, 41046, 3258, 8, 430, 9076, 2380, 1667, 315, 13643, 9313, 369, 423, 16294, 388, 304, 9473, 369, 93043, 3938, 5897, 3070, 6108, 15443, 27179, 8995, 12172, 863, 4390, 67579, 8401, 12727, 29964, 12534, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 43399, 24849, 14, 23031, 12251, 20, 14, 24777, 12754, 22191, 4924, 4924, 340, 791, 35602, 3298, 574, 11784, 439, 264, 9540, 5663, 74974, 11, 719, 912, 24846, 574, 10032, 311, 16988, 389, 433, 2001, 304, 2144, 11, 5476, 13, 20742, 7006, 1071, 433, 574, 264, 14050, 430, 1047, 2736, 1027, 3288, 311, 1461, 11, 323, 568, 1047, 18010, 13, 7570, 13063, 1093, 96415, 617, 5128, 1790, 12305, 433, 627, 16298, 2212, 279, 8270, 8541, 311, 7655, 11, 3582, 11, 430, 13967, 47783, 2001, 323, 13960, 2001, 690, 387, 10032, 311, 1862, 8996, 279, 5929, 4783, 18651, 5380, 4516, 2564, 1148, 1587, 279, 5929, 4783, 7631, 5380, 791, 1193, 4033, 4320, 374, 264, 3892, 15463, 1054, 3879, 863, 279, 3420, 8735, 2231, 704, 304, 6664, 11, 902, 30526, 57383, 315, 1202, 4553, 15443, 18909, 2001, 2737, 93043, 5897, 15443, 555, 220, 1135, 3346, 323, 10677, 287, 220, 23, 3610, 45571, 7487, 704, 315, 279, 32027, 2001, 1418, 13310, 287, 430, 1524, 430, 8434, 1431, 387, 3403, 311, 2187, 80674, 34876, 311, 3719, 10495, 627, 2746, 279, 5929, 4783, 6787, 311, 9396, 311, 1884, 18651, 11, 912, 3568, 374, 3284, 13, 2360, 24846, 1053, 387, 10032, 311, 7055, 369, 433, 13, 9176, 13063, 8434, 1431, 11, 3060, 627, 791, 810, 38650, 11, 719, 1101, 810, 40146, 11, 4320, 4131, 304, 1022, 10888, 6170, 323, 24025, 505, 4900, 3420, 5678, 2637, 6832, 8830, 315, 4947, 374, 7347, 520, 1888, 11, 8111, 311, 617, 31589, 389, 264, 2478, 7556, 3585, 529, 5922, 315, 15443, 18651, 25, 4857, 1054, 1820, 7147, 863, 389, 279, 2326, 10482, 327, 4042, 3973, 11, 1054, 2518, 8957, 12172, 2476, 323, 13696, 279, 20057, 27753, 39339, 627, 23025, 7556, 3585, 1436, 387, 279, 12914, 369, 264, 5128, 31439, 30485, 13, 2582, 814, 1436, 387, 2860, 3568, 9137, 388, 13, 1102, 14117, 389, 1268, 499, 14532, 1124, 627, 2181, 753, 1633, 4228, 311, 1518, 12643, 323, 279, 5929, 4783, 5108, 311, 264, 30485, 389, 1054, 1820, 7147, 863, 2001, 433, 1053, 1120, 387, 264, 3488, 315, 1268, 1790, 3300, 477, 1268, 1690, 22700, 315, 8931, 311, 2231, 9017, 50453, 68527, 320, 8370, 279, 5929, 4783, 374, 2736, 8260, 264, 1054, 16836, 863, 994, 433, 29076, 1124, 4390, 2181, 753, 16127, 11, 719, 539, 12266, 11, 311, 1518, 12643, 39427, 311, 636, 9463, 315, 279, 20057, 27753, 2001, 264, 2068, 430, 3250, 1431, 6089, 7958, 11969, 11, 323, 430, 1070, 9093, 4536, 1431, 264, 5933, 5054, 65739, 369, 627, 3112, 1418, 1070, 753, 912, 1648, 12643, 1053, 387, 10032, 311, 842, 3070, 6108, 15443, 2001, 279, 2592, 315, 16280, 4376, 682, 5897, 15443, 311, 279, 3723, 4273, 2001, 304, 9473, 369, 5897, 2704, 369, 220, 21741, 11, 931, 1274, 11, 433, 753, 3284, 311, 13085, 1063, 3460, 315, 30485, 13063, 1436, 12903, 439, 264, 20020, 389, 3938, 1054, 8995, 12172, 2029, 320, 4054, 13336, 11, 67135, 555, 96415, 389, 6405, 1566, 2046, 25, 10923, 80674, 34876, 311, 3719, 10495, 11, 719, 87799, 1124, 505, 85441, 872, 6699, 369, 6307, 7563, 439, 1023, 10495, 649, 656, 29275, 2746, 279, 5929, 4783, 6944, 311, 1304, 264, 3568, 11, 430, 753, 279, 3169, 315, 3568, 433, 1436, 7631, 13, 1442, 279, 5929, 4783, 6944, 311, 7631, 439, 1790, 439, 3284, 11, 433, 2834, 1431, 617, 904, 2802, 304, 25694, 904, 2753, 1109, 279, 29556, 9311, 3298, 320, 269, 279, 35602, 3298, 8, 439, 264, 3044, 369, 1054, 2518, 8957, 12172, 49216, 6107, 1457, 11, 279, 5929, 4783, 374, 15718, 439, 422, 433, 6944, 311, 1304, 264, 3568, 11, 719, 433, 753, 539, 2867, 422, 3420, 2001, 477, 19178, 2001, 617, 11928, 430, 3339, 264, 3568, 374, 2133, 311, 1397, 44725, 449, 12643, 13, 2684, 374, 912, 1778, 3245, 439, 264, 18598, 15744, 3568, 430, 690, 3604, 1522, 2001, 323, 1070, 374, 912, 1778, 3245, 439, 264, 3568, 430, 649, 3604, 1522, 430, 5127, 304, 279, 18598, 690, 1093, 13, 2684, 374, 1778, 264, 3245, 439, 264, 52008, 80674, 3568, 430, 1436, 3604, 1522, 11, 719, 433, 753, 2133, 311, 1397, 30485, 2001, 4461, 7231, 709, 279, 1862, 315, 810, 76920, 819, 3697, 1093, 38796, 11, 323, 7995, 7231, 709, 1063, 315, 279, 1690, 18651, 430, 13063, 1053, 1093, 311, 1304, 389, 13627, 627, 47439, 1139, 8079, 753, 6574, 11, 520, 3325, 11, 14188, 279, 5929, 4783, 6463, 9540, 11692, 304, 8151, 8111, 311, 1390, 21765, 25587, 3403, 1120, 3686, 311, 1212, 3577, 1711, 279, 1023, 9046, 311, 4287, 264, 52008, 30485, 13, 128001 ]
[ -100, 2971, 17851, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 5060, 24234, 14, 23864, 26088, 1721, 14, 26058, 12251, 9716, 4924, 13, 15, 4924, 340, 80245, 389, 1268, 499, 1518, 433, 11, 8079, 13658, 753, 6574, 1990, 31719, 6164, 304, 2225, 9875, 323, 279, 5929, 4783, 922, 15443, 2001, 323, 11, 11951, 11, 922, 279, 3938, 315, 279, 220, 21741, 11, 931, 45571, 20550, 889, 527, 13490, 872, 990, 29790, 323, 59371, 37424, 9523, 311, 4900, 9641, 3420, 753, 6250, 5597, 311, 842, 279, 76615, 5703, 369, 72410, 18925, 18734, 320, 35, 63638, 8, 2068, 2001, 374, 3060, 2294, 3754, 477, 264, 1879, 315, 46996, 627, 1966, 832, 1450, 11, 420, 374, 6118, 279, 1648, 2574, 636, 2884, 1234, 3420, 320, 438, 1603, 1461, 7250, 1680, 1566, 24401, 24345, 4315, 31719, 11692, 13, 2030, 304, 279, 1162, 315, 80674, 11, 433, 5084, 1093, 810, 24345, 527, 3169, 315, 279, 1566, 3245, 279, 11249, 3966, 627, 32, 52008, 1912, 315, 40020, 11, 6197, 555, 5476, 13, 23373, 20742, 7006, 320, 35, 12, 1750, 8, 323, 5476, 13, 12149, 96415, 320, 49, 6830, 57, 705, 374, 3318, 3871, 311, 5286, 704, 264, 3568, 430, 690, 636, 220, 1399, 12973, 304, 279, 10092, 323, 264, 8857, 315, 12973, 304, 279, 4783, 323, 30503, 311, 279, 4872, 753, 18496, 264, 2478, 2919, 1306, 433, 753, 7376, 13, 2030, 1884, 24345, 617, 1027, 14529, 369, 4038, 11, 2085, 264, 7055, 315, 12410, 505, 11692, 477, 279, 5929, 4783, 627, 3112, 1243, 1070, 574, 279, 6574, 1403, 5672, 4227, 11, 304, 902, 5929, 4783, 14681, 315, 17381, 3842, 19178, 2322, 449, 279, 4553, 9540, 8722, 2001, 477, 520, 3325, 11, 279, 4459, 15443, 20326, 315, 13063, 304, 279, 10092, 11, 505, 96415, 311, 6522, 15443, 76920, 5476, 13, 8529, 38796, 320, 49, 12, 946, 4390, 791, 2144, 430, 13063, 11, 11951, 11, 1541, 1431, 5101, 311, 617, 7378, 389, 889, 374, 1524, 8647, 369, 44725, 389, 80674, 374, 279, 1401, 25, 55106, 11, 279, 9540, 8722, 374, 2103, 44725, 449, 5196, 922, 1268, 25587, 433, 3604, 6944, 311, 1304, 264, 3568, 35047, 2746, 814, 10491, 814, 1390, 311, 636, 311, 10035, 389, 264, 80674, 3568, 11, 279, 4947, 649, 4498, 1139, 2035, 5128, 6847, 2001, 9523, 311, 279, 14529, 52008, 10092, 24345, 11, 323, 279, 2144, 430, 11, 42762, 11, 433, 753, 5128, 4228, 311, 13085, 264, 30485, 2225, 11314, 1053, 387, 6380, 449, 13, 2030, 814, 617, 311, 10491, 814, 1390, 311, 11, 1176, 627, 3112, 422, 814, 1390, 311, 1304, 279, 6186, 220, 777, 339, 22143, 2001, 477, 279, 1054, 408, 315, 6186, 863, 47783, 22143, 11, 477, 279, 5587, 220, 20, 9214, 8838, 12, 16455, 12, 18310, 29721, 17453, 45803, 7561, 11477, 22143, 2001, 814, 1541, 1431, 617, 1790, 892, 2163, 311, 39666, 627, 67579, 8401, 12727, 29964, 12534, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 43399, 24849, 14, 23031, 26058, 20, 14, 25238, 23776, 11286, 4924, 4924, 340, 2746, 814, 4934, 311, 24354, 704, 264, 4121, 11, 814, 1053, 617, 2671, 198, 50, 20222, 279, 80674, 3575, 1053, 1397, 1063, 3392, 315, 5149, 505, 8151, 13, 1102, 1053, 617, 311, 1522, 264, 4121, 430, 3604, 1903, 4442, 311, 15443, 2383, 627, 791, 3420, 8735, 3940, 54826, 80674, 1523, 304, 6250, 11, 323, 9214, 315, 1274, 617, 2736, 5675, 872, 990, 29790, 304, 279, 4038, 2533, 1243, 26, 2586, 5587, 220, 20, 11, 422, 8151, 12775, 1431, 31532, 3686, 11, 3892, 7895, 80674, 34876, 690, 9229, 872, 990, 29790, 320, 438, 3719, 20134, 311, 8163, 11, 33273, 11, 323, 59371, 8, 1475, 3254, 1938, 13, 8151, 649, 1431, 3009, 430, 505, 12765, 1120, 555, 33459, 264, 22143, 11, 477, 555, 21939, 3300, 520, 279, 3575, 13, 1102, 1053, 617, 311, 1522, 264, 4121, 430, 1903, 433, 3284, 369, 279, 20550, 2682, 555, 80674, 311, 3719, 26267, 17446, 311, 990, 323, 7293, 304, 279, 2326, 555, 1063, 1023, 3445, 627, 791, 1455, 31439, 1648, 311, 656, 420, 11, 315, 3388, 11, 1053, 387, 311, 2187, 279, 1274, 889, 1051, 9960, 555, 80674, 311, 3881, 311, 387, 5897, 20550, 2001, 459, 3072, 814, 1541, 1431, 5131, 617, 13, 320, 71744, 11, 19287, 1650, 420, 1054, 6564, 4954, 863, 20550, 11, 719, 433, 753, 539, 459, 17392, 3245, 2001, 279, 37650, 1053, 617, 311, 1935, 20770, 29275, 96850, 369, 8151, 11, 5897, 4954, 80674, 34876, 374, 17235, 5526, 4315, 279, 3778, 586, 2001, 323, 1524, 279, 37650, 1355, 99020, 950, 1054, 16509, 2385, 863, 374, 5128, 17339, 449, 20550, 1093, 279, 423, 16294, 388, 11, 889, 527, 6498, 62290, 36504, 11062, 33142, 304, 3778, 8853, 13, 9176, 15692, 13063, 527, 389, 279, 3335, 5605, 430, 2555, 3966, 311, 387, 2884, 311, 2187, 80674, 34876, 311, 4822, 304, 279, 2326, 26, 1633, 2478, 11, 304, 3293, 4038, 11, 617, 8208, 389, 279, 3335, 2403, 433, 627, 3947, 3250, 1431, 1524, 5101, 311, 387, 264, 2294, 3568, 315, 11249, 927, 3508, 814, 1288, 13967, 387, 5535, 311, 3881, 369, 33779, 2001, 264, 2466, 50938, 12, 69555, 38072, 1486, 304, 3766, 15443, 37635, 13, 5046, 279, 2380, 3555, 8, 19123, 430, 5131, 3073, 304, 8151, 311, 2187, 80674, 12, 69150, 20550, 311, 3881, 369, 5897, 2704, 11, 1403, 617, 264, 1853, 311, 42835, 33779, 13, 320, 791, 4948, 1053, 89013, 80674, 34876, 369, 2380, 1667, 11, 40294, 279, 3488, 315, 1148, 8741, 1306, 220, 2366, 16, 311, 279, 1828, 8151, 29275, 67579, 8401, 12727, 29964, 12534, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 43399, 24849, 14, 23031, 12251, 16, 14, 21848, 4645, 14125, 4924, 4924, 340, 31887, 11, 279, 91972, 420, 733, 21691, 527, 922, 1148, 8151, 1288, 656, 389, 15443, 304, 5369, 311, 5897, 4954, 80674, 34876, 2001, 1148, 3460, 315, 1054, 37171, 33583, 863, 1288, 387, 30526, 11, 304, 279, 1376, 315, 7319, 11006, 369, 279, 2326, 10482, 327, 4042, 3973, 26, 7319, 13627, 304, 279, 15135, 315, 279, 2326, 26, 323, 17294, 389, 3938, 5897, 15443, 627, 644, 10334, 11, 430, 753, 1148, 279, 1510, 24345, 527, 922, 13, 2030, 433, 753, 2653, 369, 24345, 311, 1304, 3403, 5208, 994, 1063, 315, 279, 1274, 44725, 9167, 1431, 6773, 1148, 11, 7041, 11, 872, 18651, 527, 2001, 1606, 814, 9167, 1431, 6773, 3508, 814, 3207, 4560, 311, 636, 311, 10035, 11, 477, 6230, 369, 279, 18266, 627, 1671, 974, 3568, 374, 433, 13971, 5380, 791, 40020, 6522, 279, 24345, 2001, 20742, 7006, 323, 96415, 2001, 617, 2225, 1027, 2867, 430, 814, 527, 4560, 311, 1304, 264, 3568, 430, 649, 3604, 1522, 25, 2555, 430, 264, 8, 47783, 323, 13960, 690, 7655, 311, 4546, 311, 279, 6558, 11, 293, 8, 520, 3325, 220, 1399, 40020, 323, 264, 8857, 315, 4783, 3697, 690, 7055, 369, 11, 323, 272, 8, 4900, 3420, 690, 1879, 627, 2181, 753, 539, 2653, 311, 13085, 264, 4121, 430, 1053, 27651, 320, 65, 570, 7648, 13063, 304, 8151, 9167, 1431, 1903, 3230, 18651, 369, 80674, 6696, 33583, 11, 323, 779, 1063, 3392, 315, 11006, 369, 1054, 9649, 4868, 863, 1436, 387, 3403, 311, 636, 1124, 389, 4580, 422, 814, 7020, 814, 1047, 279, 25695, 315, 11692, 323, 279, 4872, 627, 4071, 320, 64, 8, 323, 320, 66, 8, 527, 14397, 1291, 627, 26353, 39594, 5678, 12775, 1431, 1903, 904, 18651, 389, 15443, 13, 2030, 568, 706, 40728, 279, 35602, 3298, 11, 264, 4121, 11784, 14738, 60845, 555, 264, 1912, 315, 15692, 13063, 320, 438, 5439, 555, 10092, 53129, 10554, 10716, 323, 57588, 15046, 34349, 41046, 3258, 8, 430, 9076, 2380, 1667, 315, 13643, 9313, 369, 423, 16294, 388, 304, 9473, 369, 93043, 3938, 5897, 3070, 6108, 15443, 27179, 8995, 12172, 863, 4390, 67579, 8401, 12727, 29964, 12534, 3211, 5241, 1824, 17851, 916, 30681, 14, 6279, 355, 43399, 24849, 14, 23031, 12251, 20, 14, 24777, 12754, 22191, 4924, 4924, 340, 791, 35602, 3298, 574, 11784, 439, 264, 9540, 5663, 74974, 11, 719, 912, 24846, 574, 10032, 311, 16988, 389, 433, 2001, 304, 2144, 11, 5476, 13, 20742, 7006, 1071, 433, 574, 264, 14050, 430, 1047, 2736, 1027, 3288, 311, 1461, 11, 323, 568, 1047, 18010, 13, 7570, 13063, 1093, 96415, 617, 5128, 1790, 12305, 433, 627, 16298, 2212, 279, 8270, 8541, 311, 7655, 11, 3582, 11, 430, 13967, 47783, 2001, 323, 13960, 2001, 690, 387, 10032, 311, 1862, 8996, 279, 5929, 4783, 18651, 5380, 4516, 2564, 1148, 1587, 279, 5929, 4783, 7631, 5380, 791, 1193, 4033, 4320, 374, 264, 3892, 15463, 1054, 3879, 863, 279, 3420, 8735, 2231, 704, 304, 6664, 11, 902, 30526, 57383, 315, 1202, 4553, 15443, 18909, 2001, 2737, 93043, 5897, 15443, 555, 220, 1135, 3346, 323, 10677, 287, 220, 23, 3610, 45571, 7487, 704, 315, 279, 32027, 2001, 1418, 13310, 287, 430, 1524, 430, 8434, 1431, 387, 3403, 311, 2187, 80674, 34876, 311, 3719, 10495, 627, 2746, 279, 5929, 4783, 6787, 311, 9396, 311, 1884, 18651, 11, 912, 3568, 374, 3284, 13, 2360, 24846, 1053, 387, 10032, 311, 7055, 369, 433, 13, 9176, 13063, 8434, 1431, 11, 3060, 627, 791, 810, 38650, 11, 719, 1101, 810, 40146, 11, 4320, 4131, 304, 1022, 10888, 6170, 323, 24025, 505, 4900, 3420, 5678, 2637, 6832, 8830, 315, 4947, 374, 7347, 520, 1888, 11, 8111, 311, 617, 31589, 389, 264, 2478, 7556, 3585, 529, 5922, 315, 15443, 18651, 25, 4857, 1054, 1820, 7147, 863, 389, 279, 2326, 10482, 327, 4042, 3973, 11, 1054, 2518, 8957, 12172, 2476, 323, 13696, 279, 20057, 27753, 39339, 627, 23025, 7556, 3585, 1436, 387, 279, 12914, 369, 264, 5128, 31439, 30485, 13, 2582, 814, 1436, 387, 2860, 3568, 9137, 388, 13, 1102, 14117, 389, 1268, 499, 14532, 1124, 627, 2181, 753, 1633, 4228, 311, 1518, 12643, 323, 279, 5929, 4783, 5108, 311, 264, 30485, 389, 1054, 1820, 7147, 863, 2001, 433, 1053, 1120, 387, 264, 3488, 315, 1268, 1790, 3300, 477, 1268, 1690, 22700, 315, 8931, 311, 2231, 9017, 50453, 68527, 320, 8370, 279, 5929, 4783, 374, 2736, 8260, 264, 1054, 16836, 863, 994, 433, 29076, 1124, 4390, 2181, 753, 16127, 11, 719, 539, 12266, 11, 311, 1518, 12643, 39427, 311, 636, 9463, 315, 279, 20057, 27753, 2001, 264, 2068, 430, 3250, 1431, 6089, 7958, 11969, 11, 323, 430, 1070, 9093, 4536, 1431, 264, 5933, 5054, 65739, 369, 627, 3112, 1418, 1070, 753, 912, 1648, 12643, 1053, 387, 10032, 311, 842, 3070, 6108, 15443, 2001, 279, 2592, 315, 16280, 4376, 682, 5897, 15443, 311, 279, 3723, 4273, 2001, 304, 9473, 369, 5897, 2704, 369, 220, 21741, 11, 931, 1274, 11, 433, 753, 3284, 311, 13085, 1063, 3460, 315, 30485, 13063, 1436, 12903, 439, 264, 20020, 389, 3938, 1054, 8995, 12172, 2029, 320, 4054, 13336, 11, 67135, 555, 96415, 389, 6405, 1566, 2046, 25, 10923, 80674, 34876, 311, 3719, 10495, 11, 719, 87799, 1124, 505, 85441, 872, 6699, 369, 6307, 7563, 439, 1023, 10495, 649, 656, 29275, 2746, 279, 5929, 4783, 6944, 311, 1304, 264, 3568, 11, 430, 753, 279, 3169, 315, 3568, 433, 1436, 7631, 13, 1442, 279, 5929, 4783, 6944, 311, 7631, 439, 1790, 439, 3284, 11, 433, 2834, 1431, 617, 904, 2802, 304, 25694, 904, 2753, 1109, 279, 29556, 9311, 3298, 320, 269, 279, 35602, 3298, 8, 439, 264, 3044, 369, 1054, 2518, 8957, 12172, 49216, 6107, 1457, 11, 279, 5929, 4783, 374, 15718, 439, 422, 433, 6944, 311, 1304, 264, 3568, 11, 719, 433, 753, 539, 2867, 422, 3420, 2001, 477, 19178, 2001, 617, 11928, 430, 3339, 264, 3568, 374, 2133, 311, 1397, 44725, 449, 12643, 13, 2684, 374, 912, 1778, 3245, 439, 264, 18598, 15744, 3568, 430, 690, 3604, 1522, 2001, 323, 1070, 374, 912, 1778, 3245, 439, 264, 3568, 430, 649, 3604, 1522, 430, 5127, 304, 279, 18598, 690, 1093, 13, 2684, 374, 1778, 264, 3245, 439, 264, 52008, 80674, 3568, 430, 1436, 3604, 1522, 11, 719, 433, 753, 2133, 311, 1397, 30485, 2001, 4461, 7231, 709, 279, 1862, 315, 810, 76920, 819, 3697, 1093, 38796, 11, 323, 7995, 7231, 709, 1063, 315, 279, 1690, 18651, 430, 13063, 1053, 1093, 311, 1304, 389, 13627, 627, 47439, 1139, 8079, 753, 6574, 11, 520, 3325, 11, 14188, 279, 5929, 4783, 6463, 9540, 11692, 304, 8151, 8111, 311, 1390, 21765, 25587, 3403, 1120, 3686, 311, 1212, 3577, 1711, 279, 1023, 9046, 311, 4287, 264, 52008, 30485, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014 ]
[ 128000, 791, 7528, 15771, 617, 9076, 264, 68706, 315, 11709, 311, 30994, 369, 872, 16924, 323, 279, 1888, 3245, 374, 430, 1274, 1541, 1431, 1524, 1205, 311, 3094, 704, 315, 872, 15316, 369, 10307, 1063, 2216, 2294, 5039, 323, 3566, 4101, 13, 1102, 2834, 1431, 387, 5076, 311, 2019, 430, 279, 7528, 15771, 1051, 912, 2753, 1109, 264, 40149, 2391, 279, 20562, 12, 777, 28522, 439, 682, 279, 34292, 52473, 1051, 8036, 323, 1274, 1051, 539, 1524, 5535, 311, 733, 704, 315, 872, 15316, 627, 45, 675, 1394, 8512, 258, 85813, 5118, 72, 374, 832, 12360, 889, 6476, 459, 3062, 3560, 304, 3339, 8775, 53893, 5526, 555, 7231, 264, 33689, 5178, 304, 23469, 753, 61118, 11871, 13, 9176, 1023, 3566, 4101, 902, 1550, 539, 617, 2466, 6917, 6445, 323, 1051, 539, 1903, 389, 2466, 8199, 3060, 1101, 25408, 22511, 11, 9523, 311, 279, 2294, 51728, 627, 644, 279, 3115, 315, 279, 28522, 11, 30295, 315, 279, 7904, 12707, 323, 5818, 5064, 617, 5614, 311, 264, 2294, 13112, 323, 50801, 11, 279, 8706, 6917, 315, 904, 1501, 11, 5818, 477, 3566, 4101, 374, 539, 904, 12360, 719, 279, 2262, 13, 763, 4382, 4339, 11, 2262, 374, 279, 11734, 323, 2294, 20142, 1093, 90810, 1394, 8512, 258, 85813, 5118, 72, 11, 2418, 21963, 426, 1662, 14214, 2176, 11, 393, 1201, 1662, 12639, 2398, 72, 11, 5099, 13, 1304, 279, 1501, 810, 81291, 323, 13548, 449, 872, 15718, 627, 11458, 11, 90810, 1394, 8512, 258, 85813, 5118, 72, 706, 6051, 36489, 430, 568, 706, 17257, 279, 8775, 51, 15771, 323, 279, 12360, 706, 36197, 279, 2466, 5788, 15316, 315, 65286, 369, 813, 5597, 13, 90810, 1394, 11224, 430, 994, 568, 6575, 304, 61118, 11871, 11, 1070, 1051, 1690, 11774, 323, 264, 2763, 315, 28361, 5636, 279, 5357, 574, 389, 2262, 719, 1457, 279, 2262, 315, 279, 3566, 4101, 374, 3794, 80703, 13, 1283, 3779, 430, 520, 430, 892, 11, 502, 11005, 574, 2728, 6140, 719, 1457, 430, 99316, 706, 29496, 627, 91057, 922, 3118, 3115, 11, 90810, 1394, 8512, 258, 2795, 430, 1457, 279, 7528, 15771, 617, 3719, 61682, 5015, 369, 48832, 5039, 477, 279, 11506, 2053, 315, 1884, 5039, 902, 1541, 1431, 1524, 23528, 311, 387, 6982, 311, 279, 22511, 13, 1283, 86890, 279, 2466, 5788, 15316, 323, 279, 20142, 889, 617, 3719, 9958, 389, 279, 7528, 15771, 439, 814, 617, 1903, 433, 294, 10888, 4317, 320, 27243, 8, 311, 1893, 27862, 2262, 1606, 814, 617, 8667, 19411, 12789, 449, 279, 8775, 53893, 13, 1283, 4726, 96931, 813, 1486, 555, 10371, 439, 311, 1268, 568, 649, 990, 304, 1778, 5039, 902, 568, 3250, 1431, 1524, 1093, 311, 3821, 627, 11439, 311, 90810, 1394, 8512, 258, 85813, 5118, 72, 11, 279, 6917, 1887, 706, 14763, 279, 2466, 4264, 323, 1457, 433, 374, 12765, 389, 8775, 53893, 2288, 439, 9958, 315, 279, 7528, 5452, 527, 10371, 369, 6908, 12718, 323, 9204, 64107, 6370, 1093, 65286, 362, 9206, 388, 719, 814, 617, 25565, 430, 279, 1972, 11734, 374, 2262, 13, 1283, 5900, 389, 311, 2019, 430, 279, 892, 315, 9958, 17864, 279, 5064, 374, 8208, 1457, 11, 7999, 430, 279, 65286, 362, 9206, 388, 1511, 311, 4984, 872, 9698, 304, 220, 18, 11, 931, 15670, 1603, 279, 20562, 12, 777, 28522, 323, 1274, 1047, 311, 3821, 433, 439, 1070, 574, 912, 1023, 3072, 719, 1457, 279, 11709, 527, 27862, 627, 1687, 59383, 3987, 430, 279, 6917, 1887, 3250, 1431, 66828, 304, 8775, 53893, 1606, 584, 690, 3021, 311, 1518, 810, 323, 810, 315, 279, 2294, 20142, 1093, 90810, 1394, 8512, 258, 85813, 5118, 72, 389, 279, 7528, 15771, 4999, 5519, 499, 7655, 449, 90810, 1394, 8512, 258, 85813, 5118, 72, 753, 1935, 389, 279, 8775, 51, 15771, 30, 6914, 603, 1440, 701, 9647, 304, 420, 3717, 627, 128001, 128000, 32, 80208, 477, 20727, 38970, 649, 48378, 264, 6023, 311, 7296, 323, 4868, 11, 1405, 36958, 323, 1101, 61437, 21294, 1893, 88455, 15635, 13, 1115, 2643, 387, 505, 33781, 42190, 14028, 11, 4869, 7138, 649, 1514, 264, 3560, 304, 64903, 82835, 13, 46982, 279, 1667, 11, 5021, 20282, 649, 5353, 32389, 477, 21536, 1523, 5789, 13, 54683, 323, 1101, 20727, 14509, 315, 44014, 439, 1664, 439, 82835, 374, 539, 264, 9966, 6376, 627, 128001, 128000, 4516, 433, 2795, 279, 4883, 1906, 1828, 311, 279, 50277, 1131, 358, 656, 4276, 617, 420, 68229, 2100, 4543, 76, 1268, 656, 602, 636, 856, 1949, 8352, 5380, 1687, 656, 539, 617, 904, 2038, 389, 420, 1537, 3686, 13, 5321, 3868, 369, 502, 9013, 45764, 627, 19749, 11, 2751, 279, 2613, 11, 8667, 8800, 20267, 11, 24174, 1847, 11, 1550, 22237, 11, 6476, 459, 15592, 2489, 13, 2684, 527, 1023, 4883, 14, 724, 30, 24699, 389, 279, 2163, 320, 3374, 264, 12084, 11, 1977, 264, 31493, 11, 2800, 264, 12084, 5099, 8, 719, 4400, 369, 91268, 17333, 627, 42, 21336, 1243, 3249, 3708, 704, 459, 2613, 369, 279, 1537, 323, 3371, 603, 1148, 311, 656, 30, 15148, 433, 1120, 264, 281, 2032, 311, 636, 810, 1274, 1139, 701, 1847, 5380, 24205, 912, 6892, 373, 2271, 24529, 627, 2028, 5084, 1093, 264, 35726, 311, 1514, 36283, 96872, 627, 6153, 47208, 12801, 4435, 596, 12557, 9365, 11, 1070, 374, 912, 14054, 311, 2187, 71444, 4311, 1515, 304, 311, 279, 1847, 1701, 4205, 719, 279, 71444, 8589, 11, 779, 358, 1047, 311, 2613, 872, 10211, 9476, 6089, 4856, 1109, 1701, 872, 10211, 11989, 1887, 902, 1193, 5084, 311, 1862, 5690, 11, 22578, 323, 872, 44488, 3566, 3016, 9815, 11, 814, 1101, 3309, 757, 311, 3868, 709, 311, 220, 1187, 6596, 369, 279, 3673, 902, 358, 1550, 11, 323, 2103, 1550, 539, 1505, 4205, 922, 279, 3673, 304, 1847, 35047, 2028, 61064, 3854, 374, 369, 502, 71444, 3932, 449, 33684, 2237, 366, 605, 627, 2746, 701, 33684, 374, 539, 279, 1890, 11, 499, 13434, 956, 5371, 420, 22643, 627, 4516, 26619, 430, 430, 374, 837, 1109, 814, 527, 13750, 75986, 502, 4311, 4560, 311, 5208, 311, 15405, 420, 50048, 596, 3854, 1701, 279, 2038, 463, 302, 3093, 311, 393, 12739, 11, 323, 6996, 315, 2038, 6062, 35047, 40, 1101, 2751, 279, 8232, 11, 24174, 323, 14042, 304, 1555, 71444, 11, 912, 8352, 323, 912, 4883, 24699, 389, 2163, 369, 49878, 287, 13, 2684, 16202, 4883, 24699, 369, 279, 5370, 364, 20885, 6, 1847, 50277, 320, 2827, 21702, 264, 12084, 11, 1977, 264, 31493, 5099, 8, 719, 7000, 369, 279, 1949, 8352, 627, 2181, 4536, 956, 3318, 369, 364, 943, 71444, 3932, 449, 33684, 2237, 366, 220, 605, 6, 1606, 358, 1097, 832, 11, 323, 433, 3287, 956, 990, 13, 25122, 617, 1862, 14741, 304, 369, 420, 627, 47572, 16744, 12739, 1862, 2795, 25, 330, 2520, 279, 47950, 3854, 304, 1847, 11, 2737, 27120, 4819, 11, 4587, 3729, 279, 12801, 4435, 9365, 8068, 6089, 10246, 33406, 4435, 1862, 2795, 320, 708, 3117, 1680, 330, 11764, 603, 264, 37290, 315, 279, 6661, 449, 50048, 596, 3854, 11, 584, 1053, 1817, 433, 10246, 21279, 1862, 7411, 19089, 5115, 40522, 11, 71444, 596, 2128, 19089, 2949, 459, 6596, 353, 263, 7418, 12594, 12801, 4435, 596, 1862, 2128, 19089, 1176, 3245, 7159, 6693, 320, 27632, 574, 14976, 389, 7418, 4390, 33406, 4435, 596, 1862, 2128, 4036, 856, 2723, 311, 279, 393, 12739, 14, 47572, 3085, 323, 1047, 279, 3673, 320, 13521, 1141, 6342, 11, 58292, 315, 9601, 11, 96070, 4783, 8, 389, 856, 2759, 2949, 459, 6596, 627, 1687, 617, 8521, 279, 4360, 449, 279, 3658, 22837, 2271, 994, 499, 1436, 539, 1518, 433, 13, 1102, 1288, 1457, 5101, 304, 701, 33684, 627, 1687, 617, 1101, 11838, 279, 13003, 315, 279, 61064, 12222, 220, 23, 315, 6287, 627, 19701, 369, 61109, 323, 9901, 577, 369, 5737, 4999, 11649, 11, 422, 433, 596, 2216, 1193, 369, 4311, 449, 33684, 366, 59260, 605, 1243, 358, 2846, 25406, 11, 1606, 279, 2613, 439, 1664, 439, 279, 3754, 1772, 9539, 5415, 25, 330, 33406, 4435, 2128, 706, 10235, 264, 5016, 8352, 369, 682, 20267, 3932, 9135, 902, 3445, 433, 596, 10171, 311, 387, 2561, 369, 13398, 20267, 3932, 323, 358, 3077, 2736, 7543, 1455, 315, 856, 15310, 358, 6924, 709, 389, 1023, 23757, 7422, 358, 8434, 956, 1205, 311, 3780, 279, 72519, 98074, 261, 627, 40, 2846, 2103, 8748, 1306, 3515, 3288, 14633, 311, 2225, 20267, 323, 12801, 4435, 1131, 16782, 912, 6425, 13, 37970, 1847, 1790, 2753, 32180, 323, 433, 374, 2736, 264, 2766, 330, 67, 1171, 3640, 1, 323, 6435, 13, 2468, 3325, 264, 1949, 8352, 1618, 323, 1070, 1436, 1520, 2567, 1063, 315, 856, 6666, 13, 1115, 374, 1101, 539, 279, 1176, 892, 358, 636, 459, 2613, 369, 264, 1949, 8352, 430, 2646, 18911, 5196, 323, 912, 6425, 3984, 779, 433, 1120, 51055, 288, 627, 22662, 304, 389, 279, 220, 23, 339, 315, 6287, 320, 16514, 13326, 6931, 323, 3287, 956, 1524, 1440, 922, 279, 892, 477, 2237, 4017, 11, 3249, 574, 430, 539, 304, 279, 2613, 70372, 358, 3077, 2751, 2237, 220, 22, 11, 912, 8352, 627, 10156, 459, 2713, 13, 9359, 291, 872, 10211, 323, 814, 3288, 279, 3673, 13, 220, 1041, 15, 87, 57949, 5352, 1070, 0, 128001, 128000, 3923, 374, 264, 53689, 5380, 22427, 16629, 374, 279, 6344, 57565, 19823, 315, 279, 62268, 300, 1405, 279, 2547, 9221, 12153, 311, 8356, 3403, 32152, 311, 2567, 279, 9498, 21261, 315, 6680, 13465, 304, 279, 2547, 13, 328, 39095, 323, 19428, 36709, 374, 264, 11670, 71975, 49648, 11, 719, 2225, 1102, 1253, 1101, 12446, 994, 1070, 374, 459, 39413, 4186, 8082, 315, 279, 9124, 32152, 13, 4314, 1253, 3063, 311, 13937, 6680, 34323, 323, 264, 3552, 315, 36505, 627, 791, 20671, 24266, 279, 13465, 311, 682, 279, 2547, 7917, 13, 578, 7917, 1005, 279, 34323, 439, 264, 10633, 8197, 13, 8444, 94697, 1243, 29933, 1139, 279, 7917, 315, 279, 2547, 198, 791, 2547, 5334, 28168, 4147, 3339, 1139, 1005, 304, 279, 1376, 315, 4907, 13, 1442, 279, 34323, 649, 1431, 636, 1139, 279, 7917, 11, 433, 8638, 311, 5376, 304, 279, 6680, 627, 9673, 3135, 304, 32389, 15055, 315, 6680, 34323, 5990, 902, 374, 1101, 2663, 17508, 23797, 66, 22689, 13, 33832, 23797, 66, 22689, 374, 459, 28137, 430, 1070, 374, 264, 1579, 2237, 315, 34323, 304, 279, 100216, 627, 4599, 433, 25501, 264, 3738, 2237, 1109, 5578, 11, 420, 374, 22824, 4147, 20335, 13, 53689, 1253, 1101, 12446, 994, 1070, 374, 459, 19428, 6068, 374, 15748, 304, 279, 5788, 315, 32152, 4245, 311, 264, 3044, 2663, 279, 520, 58175, 315, 279, 374, 1169, 315, 445, 4091, 71, 598, 7917, 304, 279, 62268, 300, 627, 791, 62268, 300, 19159, 279, 32152, 13, 3341, 34658, 988, 527, 14760, 1523, 1139, 34323, 323, 6004, 1139, 279, 100216, 13, 9925, 24292, 29944, 304, 279, 44225, 315, 34323, 1139, 279, 7917, 315, 682, 279, 24569, 323, 39881, 315, 279, 2547, 627, 22427, 16629, 61285, 36891, 374, 264, 21249, 3044, 902, 649, 7958, 5606, 323, 2536, 12, 26660, 481, 8624, 13, 1102, 374, 264, 5199, 18985, 23104, 369, 1690, 5961, 323, 11384, 12387, 36505, 430, 3063, 311, 8952, 56276, 11, 36801, 11, 323, 1524, 4648, 627, 48942, 716, 6373, 649, 8108, 61961, 11, 1893, 36505, 2737, 8071, 8624, 6522, 311, 85515, 11, 39042, 8624, 6522, 311, 39042, 8060, 11, 1097, 13623, 315, 279, 7693, 11, 41713, 19338, 11, 323, 264, 3552, 315, 1023, 4787, 627, 3947, 527, 2212, 264, 220, 16460, 3610, 12884, 449, 20335, 13, 4427, 315, 1690, 6978, 527, 11754, 555, 420, 20335, 627, 22427, 16629, 6118, 18911, 5196, 449, 13803, 1093, 7319, 4433, 2617, 11, 7319, 50690, 11, 6435, 21730, 315, 34254, 11, 36709, 11, 323, 100155, 11376, 627, 22427, 16629, 6514, 5764, 31010, 11, 10173, 17466, 11, 19433, 17466, 11, 323, 7106, 10368, 13, 9029, 449, 20335, 617, 311, 37771, 3230, 4442, 304, 19433, 323, 636, 5912, 15439, 7177, 13, 128001 ]
[ -100, 791, 7528, 15771, 617, 9076, 264, 68706, 315, 11709, 311, 30994, 369, 872, 16924, 323, 279, 1888, 3245, 374, 430, 1274, 1541, 1431, 1524, 1205, 311, 3094, 704, 315, 872, 15316, 369, 10307, 1063, 2216, 2294, 5039, 323, 3566, 4101, 13, 1102, 2834, 1431, 387, 5076, 311, 2019, 430, 279, 7528, 15771, 1051, 912, 2753, 1109, 264, 40149, 2391, 279, 20562, 12, 777, 28522, 439, 682, 279, 34292, 52473, 1051, 8036, 323, 1274, 1051, 539, 1524, 5535, 311, 733, 704, 315, 872, 15316, 627, 45, 675, 1394, 8512, 258, 85813, 5118, 72, 374, 832, 12360, 889, 6476, 459, 3062, 3560, 304, 3339, 8775, 53893, 5526, 555, 7231, 264, 33689, 5178, 304, 23469, 753, 61118, 11871, 13, 9176, 1023, 3566, 4101, 902, 1550, 539, 617, 2466, 6917, 6445, 323, 1051, 539, 1903, 389, 2466, 8199, 3060, 1101, 25408, 22511, 11, 9523, 311, 279, 2294, 51728, 627, 644, 279, 3115, 315, 279, 28522, 11, 30295, 315, 279, 7904, 12707, 323, 5818, 5064, 617, 5614, 311, 264, 2294, 13112, 323, 50801, 11, 279, 8706, 6917, 315, 904, 1501, 11, 5818, 477, 3566, 4101, 374, 539, 904, 12360, 719, 279, 2262, 13, 763, 4382, 4339, 11, 2262, 374, 279, 11734, 323, 2294, 20142, 1093, 90810, 1394, 8512, 258, 85813, 5118, 72, 11, 2418, 21963, 426, 1662, 14214, 2176, 11, 393, 1201, 1662, 12639, 2398, 72, 11, 5099, 13, 1304, 279, 1501, 810, 81291, 323, 13548, 449, 872, 15718, 627, 11458, 11, 90810, 1394, 8512, 258, 85813, 5118, 72, 706, 6051, 36489, 430, 568, 706, 17257, 279, 8775, 51, 15771, 323, 279, 12360, 706, 36197, 279, 2466, 5788, 15316, 315, 65286, 369, 813, 5597, 13, 90810, 1394, 11224, 430, 994, 568, 6575, 304, 61118, 11871, 11, 1070, 1051, 1690, 11774, 323, 264, 2763, 315, 28361, 5636, 279, 5357, 574, 389, 2262, 719, 1457, 279, 2262, 315, 279, 3566, 4101, 374, 3794, 80703, 13, 1283, 3779, 430, 520, 430, 892, 11, 502, 11005, 574, 2728, 6140, 719, 1457, 430, 99316, 706, 29496, 627, 91057, 922, 3118, 3115, 11, 90810, 1394, 8512, 258, 2795, 430, 1457, 279, 7528, 15771, 617, 3719, 61682, 5015, 369, 48832, 5039, 477, 279, 11506, 2053, 315, 1884, 5039, 902, 1541, 1431, 1524, 23528, 311, 387, 6982, 311, 279, 22511, 13, 1283, 86890, 279, 2466, 5788, 15316, 323, 279, 20142, 889, 617, 3719, 9958, 389, 279, 7528, 15771, 439, 814, 617, 1903, 433, 294, 10888, 4317, 320, 27243, 8, 311, 1893, 27862, 2262, 1606, 814, 617, 8667, 19411, 12789, 449, 279, 8775, 53893, 13, 1283, 4726, 96931, 813, 1486, 555, 10371, 439, 311, 1268, 568, 649, 990, 304, 1778, 5039, 902, 568, 3250, 1431, 1524, 1093, 311, 3821, 627, 11439, 311, 90810, 1394, 8512, 258, 85813, 5118, 72, 11, 279, 6917, 1887, 706, 14763, 279, 2466, 4264, 323, 1457, 433, 374, 12765, 389, 8775, 53893, 2288, 439, 9958, 315, 279, 7528, 5452, 527, 10371, 369, 6908, 12718, 323, 9204, 64107, 6370, 1093, 65286, 362, 9206, 388, 719, 814, 617, 25565, 430, 279, 1972, 11734, 374, 2262, 13, 1283, 5900, 389, 311, 2019, 430, 279, 892, 315, 9958, 17864, 279, 5064, 374, 8208, 1457, 11, 7999, 430, 279, 65286, 362, 9206, 388, 1511, 311, 4984, 872, 9698, 304, 220, 18, 11, 931, 15670, 1603, 279, 20562, 12, 777, 28522, 323, 1274, 1047, 311, 3821, 433, 439, 1070, 574, 912, 1023, 3072, 719, 1457, 279, 11709, 527, 27862, 627, 1687, 59383, 3987, 430, 279, 6917, 1887, 3250, 1431, 66828, 304, 8775, 53893, 1606, 584, 690, 3021, 311, 1518, 810, 323, 810, 315, 279, 2294, 20142, 1093, 90810, 1394, 8512, 258, 85813, 5118, 72, 389, 279, 7528, 15771, 4999, 5519, 499, 7655, 449, 90810, 1394, 8512, 258, 85813, 5118, 72, 753, 1935, 389, 279, 8775, 51, 15771, 30, 6914, 603, 1440, 701, 9647, 304, 420, 3717, 627, 128001, -100, 32, 80208, 477, 20727, 38970, 649, 48378, 264, 6023, 311, 7296, 323, 4868, 11, 1405, 36958, 323, 1101, 61437, 21294, 1893, 88455, 15635, 13, 1115, 2643, 387, 505, 33781, 42190, 14028, 11, 4869, 7138, 649, 1514, 264, 3560, 304, 64903, 82835, 13, 46982, 279, 1667, 11, 5021, 20282, 649, 5353, 32389, 477, 21536, 1523, 5789, 13, 54683, 323, 1101, 20727, 14509, 315, 44014, 439, 1664, 439, 82835, 374, 539, 264, 9966, 6376, 627, 128001, -100, 4516, 433, 2795, 279, 4883, 1906, 1828, 311, 279, 50277, 1131, 358, 656, 4276, 617, 420, 68229, 2100, 4543, 76, 1268, 656, 602, 636, 856, 1949, 8352, 5380, 1687, 656, 539, 617, 904, 2038, 389, 420, 1537, 3686, 13, 5321, 3868, 369, 502, 9013, 45764, 627, 19749, 11, 2751, 279, 2613, 11, 8667, 8800, 20267, 11, 24174, 1847, 11, 1550, 22237, 11, 6476, 459, 15592, 2489, 13, 2684, 527, 1023, 4883, 14, 724, 30, 24699, 389, 279, 2163, 320, 3374, 264, 12084, 11, 1977, 264, 31493, 11, 2800, 264, 12084, 5099, 8, 719, 4400, 369, 91268, 17333, 627, 42, 21336, 1243, 3249, 3708, 704, 459, 2613, 369, 279, 1537, 323, 3371, 603, 1148, 311, 656, 30, 15148, 433, 1120, 264, 281, 2032, 311, 636, 810, 1274, 1139, 701, 1847, 5380, 24205, 912, 6892, 373, 2271, 24529, 627, 2028, 5084, 1093, 264, 35726, 311, 1514, 36283, 96872, 627, 6153, 47208, 12801, 4435, 596, 12557, 9365, 11, 1070, 374, 912, 14054, 311, 2187, 71444, 4311, 1515, 304, 311, 279, 1847, 1701, 4205, 719, 279, 71444, 8589, 11, 779, 358, 1047, 311, 2613, 872, 10211, 9476, 6089, 4856, 1109, 1701, 872, 10211, 11989, 1887, 902, 1193, 5084, 311, 1862, 5690, 11, 22578, 323, 872, 44488, 3566, 3016, 9815, 11, 814, 1101, 3309, 757, 311, 3868, 709, 311, 220, 1187, 6596, 369, 279, 3673, 902, 358, 1550, 11, 323, 2103, 1550, 539, 1505, 4205, 922, 279, 3673, 304, 1847, 35047, 2028, 61064, 3854, 374, 369, 502, 71444, 3932, 449, 33684, 2237, 366, 605, 627, 2746, 701, 33684, 374, 539, 279, 1890, 11, 499, 13434, 956, 5371, 420, 22643, 627, 4516, 26619, 430, 430, 374, 837, 1109, 814, 527, 13750, 75986, 502, 4311, 4560, 311, 5208, 311, 15405, 420, 50048, 596, 3854, 1701, 279, 2038, 463, 302, 3093, 311, 393, 12739, 11, 323, 6996, 315, 2038, 6062, 35047, 40, 1101, 2751, 279, 8232, 11, 24174, 323, 14042, 304, 1555, 71444, 11, 912, 8352, 323, 912, 4883, 24699, 389, 2163, 369, 49878, 287, 13, 2684, 16202, 4883, 24699, 369, 279, 5370, 364, 20885, 6, 1847, 50277, 320, 2827, 21702, 264, 12084, 11, 1977, 264, 31493, 5099, 8, 719, 7000, 369, 279, 1949, 8352, 627, 2181, 4536, 956, 3318, 369, 364, 943, 71444, 3932, 449, 33684, 2237, 366, 220, 605, 6, 1606, 358, 1097, 832, 11, 323, 433, 3287, 956, 990, 13, 25122, 617, 1862, 14741, 304, 369, 420, 627, 47572, 16744, 12739, 1862, 2795, 25, 330, 2520, 279, 47950, 3854, 304, 1847, 11, 2737, 27120, 4819, 11, 4587, 3729, 279, 12801, 4435, 9365, 8068, 6089, 10246, 33406, 4435, 1862, 2795, 320, 708, 3117, 1680, 330, 11764, 603, 264, 37290, 315, 279, 6661, 449, 50048, 596, 3854, 11, 584, 1053, 1817, 433, 10246, 21279, 1862, 7411, 19089, 5115, 40522, 11, 71444, 596, 2128, 19089, 2949, 459, 6596, 353, 263, 7418, 12594, 12801, 4435, 596, 1862, 2128, 19089, 1176, 3245, 7159, 6693, 320, 27632, 574, 14976, 389, 7418, 4390, 33406, 4435, 596, 1862, 2128, 4036, 856, 2723, 311, 279, 393, 12739, 14, 47572, 3085, 323, 1047, 279, 3673, 320, 13521, 1141, 6342, 11, 58292, 315, 9601, 11, 96070, 4783, 8, 389, 856, 2759, 2949, 459, 6596, 627, 1687, 617, 8521, 279, 4360, 449, 279, 3658, 22837, 2271, 994, 499, 1436, 539, 1518, 433, 13, 1102, 1288, 1457, 5101, 304, 701, 33684, 627, 1687, 617, 1101, 11838, 279, 13003, 315, 279, 61064, 12222, 220, 23, 315, 6287, 627, 19701, 369, 61109, 323, 9901, 577, 369, 5737, 4999, 11649, 11, 422, 433, 596, 2216, 1193, 369, 4311, 449, 33684, 366, 59260, 605, 1243, 358, 2846, 25406, 11, 1606, 279, 2613, 439, 1664, 439, 279, 3754, 1772, 9539, 5415, 25, 330, 33406, 4435, 2128, 706, 10235, 264, 5016, 8352, 369, 682, 20267, 3932, 9135, 902, 3445, 433, 596, 10171, 311, 387, 2561, 369, 13398, 20267, 3932, 323, 358, 3077, 2736, 7543, 1455, 315, 856, 15310, 358, 6924, 709, 389, 1023, 23757, 7422, 358, 8434, 956, 1205, 311, 3780, 279, 72519, 98074, 261, 627, 40, 2846, 2103, 8748, 1306, 3515, 3288, 14633, 311, 2225, 20267, 323, 12801, 4435, 1131, 16782, 912, 6425, 13, 37970, 1847, 1790, 2753, 32180, 323, 433, 374, 2736, 264, 2766, 330, 67, 1171, 3640, 1, 323, 6435, 13, 2468, 3325, 264, 1949, 8352, 1618, 323, 1070, 1436, 1520, 2567, 1063, 315, 856, 6666, 13, 1115, 374, 1101, 539, 279, 1176, 892, 358, 636, 459, 2613, 369, 264, 1949, 8352, 430, 2646, 18911, 5196, 323, 912, 6425, 3984, 779, 433, 1120, 51055, 288, 627, 22662, 304, 389, 279, 220, 23, 339, 315, 6287, 320, 16514, 13326, 6931, 323, 3287, 956, 1524, 1440, 922, 279, 892, 477, 2237, 4017, 11, 3249, 574, 430, 539, 304, 279, 2613, 70372, 358, 3077, 2751, 2237, 220, 22, 11, 912, 8352, 627, 10156, 459, 2713, 13, 9359, 291, 872, 10211, 323, 814, 3288, 279, 3673, 13, 220, 1041, 15, 87, 57949, 5352, 1070, 0, 128001, -100, 3923, 374, 264, 53689, 5380, 22427, 16629, 374, 279, 6344, 57565, 19823, 315, 279, 62268, 300, 1405, 279, 2547, 9221, 12153, 311, 8356, 3403, 32152, 311, 2567, 279, 9498, 21261, 315, 6680, 13465, 304, 279, 2547, 13, 328, 39095, 323, 19428, 36709, 374, 264, 11670, 71975, 49648, 11, 719, 2225, 1102, 1253, 1101, 12446, 994, 1070, 374, 459, 39413, 4186, 8082, 315, 279, 9124, 32152, 13, 4314, 1253, 3063, 311, 13937, 6680, 34323, 323, 264, 3552, 315, 36505, 627, 791, 20671, 24266, 279, 13465, 311, 682, 279, 2547, 7917, 13, 578, 7917, 1005, 279, 34323, 439, 264, 10633, 8197, 13, 8444, 94697, 1243, 29933, 1139, 279, 7917, 315, 279, 2547, 198, 791, 2547, 5334, 28168, 4147, 3339, 1139, 1005, 304, 279, 1376, 315, 4907, 13, 1442, 279, 34323, 649, 1431, 636, 1139, 279, 7917, 11, 433, 8638, 311, 5376, 304, 279, 6680, 627, 9673, 3135, 304, 32389, 15055, 315, 6680, 34323, 5990, 902, 374, 1101, 2663, 17508, 23797, 66, 22689, 13, 33832, 23797, 66, 22689, 374, 459, 28137, 430, 1070, 374, 264, 1579, 2237, 315, 34323, 304, 279, 100216, 627, 4599, 433, 25501, 264, 3738, 2237, 1109, 5578, 11, 420, 374, 22824, 4147, 20335, 13, 53689, 1253, 1101, 12446, 994, 1070, 374, 459, 19428, 6068, 374, 15748, 304, 279, 5788, 315, 32152, 4245, 311, 264, 3044, 2663, 279, 520, 58175, 315, 279, 374, 1169, 315, 445, 4091, 71, 598, 7917, 304, 279, 62268, 300, 627, 791, 62268, 300, 19159, 279, 32152, 13, 3341, 34658, 988, 527, 14760, 1523, 1139, 34323, 323, 6004, 1139, 279, 100216, 13, 9925, 24292, 29944, 304, 279, 44225, 315, 34323, 1139, 279, 7917, 315, 682, 279, 24569, 323, 39881, 315, 279, 2547, 627, 22427, 16629, 61285, 36891, 374, 264, 21249, 3044, 902, 649, 7958, 5606, 323, 2536, 12, 26660, 481, 8624, 13, 1102, 374, 264, 5199, 18985, 23104, 369, 1690, 5961, 323, 11384, 12387, 36505, 430, 3063, 311, 8952, 56276, 11, 36801, 11, 323, 1524, 4648, 627, 48942, 716, 6373, 649, 8108, 61961, 11, 1893, 36505, 2737, 8071, 8624, 6522, 311, 85515, 11, 39042, 8624, 6522, 311, 39042, 8060, 11, 1097, 13623, 315, 279, 7693, 11, 41713, 19338, 11, 323, 264, 3552, 315, 1023, 4787, 627, 3947, 527, 2212, 264, 220, 16460, 3610, 12884, 449, 20335, 13, 4427, 315, 1690, 6978, 527, 11754, 555, 420, 20335, 627, 22427, 16629, 6118, 18911, 5196, 449, 13803, 1093, 7319, 4433, 2617, 11, 7319, 50690, 11, 6435, 21730, 315, 34254, 11, 36709, 11, 323, 100155, 11376, 627, 22427, 16629, 6514, 5764, 31010, 11, 10173, 17466, 11, 19433, 17466, 11, 323, 7106, 10368, 13, 9029, 449, 20335, 617, 311, 37771, 3230, 4442, 304, 19433, 323, 636, 5912, 15439, 7177, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 57, 404, 258, 11, 53215, 323, 2947, 52806, 11, 12656, 198, 7, 2550, 16, 340, 11855, 946, 984, 3481, 50, 25, 362, 6992, 61363, 20212, 1887, 627, 72041, 28415, 11, 220, 9263, 198, 7, 16, 4390, 604, 13, 220, 10161, 12, 10513, 627, 31949, 45, 220, 6268, 23, 12, 25202, 23, 627, 48886, 25, 605, 13, 1041, 22, 3554, 69, 4119, 22507, 3971, 627, 10464, 420, 67644, 5665, 311, 2723, 311, 420, 1537, 512, 1687, 7664, 1057, 7354, 946, 984, 3481, 2068, 315, 52997, 13238, 1344, 5518, 477, 11295, 4500, 315, 5820, 304, 3738, 7160, 19164, 5315, 13, 578, 7580, 315, 279, 2068, 374, 311, 1296, 1057, 8830, 315, 279, 61363, 1920, 555, 3339, 586, 20492, 4669, 14683, 8232, 13, 25215, 279, 4839, 18912, 315, 279, 61363, 6463, 279, 13336, 315, 49179, 315, 502, 4642, 13918, 649, 387, 19698, 13, 2030, 1579, 64036, 24654, 315, 279, 24924, 6683, 11, 14433, 33306, 323, 6070, 323, 1023, 6012, 315, 264, 5654, 9147, 603, 311, 22203, 279, 42080, 315, 220, 868, 315, 220, 1419, 3682, 4642, 13918, 927, 264, 1403, 4771, 4261, 11, 323, 220, 868, 315, 220, 843, 7354, 946, 984, 3481, 50, 1051, 8272, 555, 420, 5820, 13, 1226, 1511, 1579, 64036, 1972, 7394, 828, 2561, 520, 279, 6295, 24941, 25450, 58974, 320, 33, 7497, 46, 570, 578, 13186, 369, 20212, 527, 2728, 323, 14407, 11, 3235, 449, 1884, 369, 91880, 80502, 627, 791, 2450, 12018, 279, 7354, 946, 984, 3481, 374, 26126, 555, 26060, 279, 386, 12, 323, 1630, 15144, 1344, 5518, 304, 4848, 2919, 2768, 279, 5225, 323, 27393, 1521, 3135, 449, 1884, 315, 264, 1396, 315, 1023, 60336, 31956, 13, 1226, 1505, 279, 3254, 13918, 12146, 1047, 922, 220, 966, 4, 810, 1344, 5518, 1109, 279, 4459, 13668, 389, 4288, 2919, 11, 477, 3892, 3115, 810, 1109, 3927, 13918, 12146, 520, 4288, 13, 2684, 574, 264, 8895, 315, 220, 16, 13, 20, 311, 220, 17, 13, 15, 3115, 304, 61363, 11900, 7863, 311, 13918, 4183, 555, 7858, 1404, 477, 23965, 13, 1226, 1101, 1505, 459, 16048, 315, 220, 508, 4235, 1272, 4, 927, 3544, 477, 6485, 13918, 430, 617, 1047, 1063, 1344, 5518, 2736, 13, 578, 11595, 315, 16048, 706, 7319, 449, 892, 439, 584, 18661, 3217, 13, 763, 279, 220, 1187, 2902, 81, 4261, 2768, 1855, 5225, 11, 832, 477, 810, 386, 15144, 477, 7191, 1344, 5518, 10222, 220, 5332, 4, 315, 279, 892, 627, 1687, 1101, 10273, 279, 13336, 315, 20212, 555, 279, 220, 9756, 11477, 10074, 902, 1063, 7487, 617, 11922, 11, 719, 1766, 1884, 3135, 10284, 11201, 1109, 4288, 323, 33452, 38279, 311, 279, 7354, 946, 984, 3481, 50, 13, 2052, 315, 279, 8104, 4642, 13918, 430, 1051, 13942, 3060, 10222, 2391, 3958, 9282, 520, 426, 7497, 46, 477, 1051, 13942, 1606, 584, 1193, 11136, 30350, 369, 832, 5654, 520, 264, 892, 627, 4727, 17381, 8442, 25, 1537, 2585, 2199, 128001, 128000, 48, 25, 32406, 89106, 1701, 5385, 323, 16256, 3639, 358, 1205, 374, 311, 1893, 5425, 3997, 18300, 89106, 1093, 420, 1701, 1193, 5385, 323, 16256, 13, 12522, 912, 4623, 1268, 311, 2567, 430, 2744, 304, 832, 2035, 369, 506, 25, 1314, 5740, 3185, 315, 7074, 3321, 4286, 32, 25, 674, 13284, 4075, 198, 517, 2361, 25, 22795, 280, 5740, 25, 20, 1804, 280, 1314, 25, 20, 1804, 280, 19172, 25, 15, 13, 20, 280, 1167, 22214, 25, 1484, 280, 1933, 51916, 280, 633, 73, 29767, 3390, 271, 32, 25, 2057, 1304, 433, 8521, 25, 9934, 420, 1648, 11, 720, 2580, 37, 3390, 4026, 25, 1795, 1129, 2580, 69, 3390, 5181, 14, 9851, 83, 56, 6018, 2691, 538, 429, 2664, 760, 2028, 374, 264, 6205, 2547, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 348, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 366, 614, 538, 429, 13284, 4075, 891, 1881, 19690, 10164, 4075, 198, 262, 694, 614, 397, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 198, 524, 614, 28801, 87623, 4075, 341, 262, 19172, 25, 220, 15, 13, 20, 280, 262, 1933, 25, 37747, 280, 262, 2361, 25, 8521, 280, 262, 1948, 25, 3313, 280, 262, 2163, 25, 220, 1490, 16291, 633, 1271, 1005, 10973, 512, 87623, 4075, 341, 262, 19172, 25, 220, 15, 13, 20, 280, 262, 1933, 25, 37747, 280, 262, 2361, 25, 10973, 280, 262, 5740, 25, 220, 15, 280, 262, 1314, 25, 220, 15, 280, 633, 2580, 37, 3390, 25, 1795, 1129, 2580, 69, 3390, 5181, 14, 21, 9579, 39046, 8851, 32, 25, 499, 1253, 1005, 19172, 25, 15, 13, 20, 9545, 12840, 3596, 499, 6562, 1990, 220, 15, 323, 220, 16, 369, 420, 627, 21837, 435, 3390, 271, 32, 25, 7089, 10105, 527, 2294, 719, 814, 3287, 956, 1935, 2512, 315, 279, 2144, 430, 89106, 13434, 956, 636, 4183, 389, 6727, 505, 279, 8814, 13, 1115, 282, 3390, 5097, 2512, 477, 430, 25, 3788, 1129, 2580, 69, 3390, 5181, 10482, 72, 82265, 1032, 3529, 16, 81, 19, 78, 15, 73, 70, 14, 24, 6018, 2028, 690, 387, 2731, 3072, 369, 13072, 477, 1118, 5385, 627, 34758, 512, 2, 13284, 4075, 341, 220, 19172, 25, 220, 15, 13, 17, 280, 220, 3381, 7321, 25, 220, 4103, 1804, 280, 220, 1933, 25, 364, 11708, 1025, 220, 4092, 25, 5999, 38154, 1025, 220, 2361, 25, 10973, 280, 220, 8291, 25, 1670, 280, 220, 1217, 21090, 25, 7000, 280, 220, 482, 26472, 8865, 21090, 25, 7000, 280, 220, 482, 74, 1580, 8865, 21090, 25, 7000, 280, 220, 482, 47617, 8865, 21090, 25, 7000, 280, 220, 482, 1026, 8865, 21090, 25, 7000, 280, 220, 1314, 25, 220, 20, 1804, 280, 220, 5740, 25, 220, 20, 1804, 280, 3818, 32, 25, 4815, 87623, 4075, 517, 3506, 25, 28969, 280, 6884, 8048, 25, 21027, 7, 3192, 11, 220, 15, 11, 220, 15, 11, 220, 15, 13, 20, 317, 2627, 25, 966, 1804, 280, 3175, 25, 1041, 1804, 280, 5610, 87985, 280, 6750, 17917, 28778, 280, 35806, 6951, 28778, 280, 3571, 25, 22795, 280, 15205, 25, 20, 1804, 280, 1315, 25, 20, 1804, 280, 534, 14063, 397, 15896, 397, 2691, 538, 429, 13284, 4075, 891, 42, 86, 2786, 10343, 198, 524, 614, 397, 10328, 29, 25638, 6087, 28452, 524, 1762, 397, 524, 2664, 397, 524, 1580, 28801, 32, 25, 80291, 420, 649, 387, 315, 2294, 1520, 369, 499, 627, 614, 7502, 198, 517, 3175, 25, 2636, 1804, 280, 2627, 25, 5154, 1804, 26, 2355, 9649, 25, 17, 1804, 6573, 280, 9649, 8048, 14443, 6620, 25724, 37, 280, 534, 614, 33708, 198, 517, 3175, 25, 3443, 1804, 280, 2627, 25, 5245, 1804, 280, 9113, 25, 966, 1804, 220, 1135, 1804, 280, 6884, 8048, 14443, 27984, 280, 9649, 25, 16, 1804, 6573, 280, 9649, 8048, 14443, 6620, 25724, 37, 280, 21213, 25, 15, 13, 21, 280, 5428, 25, 7288, 17534, 4107, 28, 1399, 317, 534, 256, 3512, 33708, 281, 198, 517, 9113, 25, 966, 1804, 220, 1272, 1804, 280, 4115, 12923, 50822, 280, 3506, 14443, 6620, 25724, 37, 280, 633, 4061, 420, 2723, 3131, 382, 32, 25, 358, 1053, 7079, 5127, 1427, 1139, 15533, 57449, 13, 220, 1102, 706, 1027, 7396, 555, 1455, 33957, 1457, 2533, 922, 220, 679, 22, 13, 220, 5810, 374, 264, 2723, 311, 1063, 9904, 25, 3788, 1129, 5254, 10398, 5908, 916, 72691, 43970, 6851, 14, 15079, 92525, 29183, 14, 662, 220, 1102, 374, 779, 1790, 8831, 311, 2567, 701, 2199, 5540, 1405, 499, 1390, 1124, 11, 5423, 994, 433, 4131, 311, 100039, 13, 220, 1102, 3952, 757, 682, 315, 220, 508, 4520, 311, 4048, 1268, 311, 656, 433, 11, 323, 358, 2846, 264, 95678, 4999, 2691, 538, 429, 4297, 33885, 891, 262, 366, 79, 538, 429, 15339, 760, 9906, 524, 79, 397, 262, 366, 79, 538, 429, 14957, 760, 10343, 524, 79, 397, 524, 614, 10586, 322, 7413, 16256, 6454, 10000, 33885, 341, 262, 3113, 25, 5950, 280, 262, 5950, 34509, 74669, 25, 220, 1135, 4, 220, 1135, 16291, 262, 5950, 34509, 12, 1849, 25, 220, 1135, 4, 220, 1135, 16291, 633, 870, 4896, 341, 262, 5950, 26005, 19471, 25, 220, 17, 280, 262, 5950, 20115, 19471, 25, 220, 17, 280, 633, 23731, 341, 262, 5950, 26005, 19471, 25, 220, 16, 280, 262, 5950, 20115, 19471, 25, 220, 17, 280, 3818, 2028, 2082, 690, 6859, 279, 2199, 1139, 220, 19, 6273, 30236, 1821, 11, 25012, 279, 330, 9906, 1, 304, 279, 5740, 1314, 11, 323, 279, 330, 10343, 1, 304, 279, 5740, 2163, 2085, 3515, 311, 2349, 872, 39825, 477, 5737, 449, 37682, 627, 2028, 649, 387, 71462, 660, 1139, 1633, 6485, 5950, 50154, 449, 50917, 11, 24746, 57449, 315, 682, 12562, 11, 323, 1524, 57449, 24997, 4871, 57449, 11, 2085, 13490, 2585, 315, 701, 5540, 1475, 892, 2555, 4442, 320, 4931, 9506, 358, 2846, 3411, 520, 499, 4390, 39115, 420, 8779, 39371, 2103, 3966, 433, 4999, 128001 ]
[ -100, 57, 404, 258, 11, 53215, 323, 2947, 52806, 11, 12656, 198, 7, 2550, 16, 340, 11855, 946, 984, 3481, 50, 25, 362, 6992, 61363, 20212, 1887, 627, 72041, 28415, 11, 220, 9263, 198, 7, 16, 4390, 604, 13, 220, 10161, 12, 10513, 627, 31949, 45, 220, 6268, 23, 12, 25202, 23, 627, 48886, 25, 605, 13, 1041, 22, 3554, 69, 4119, 22507, 3971, 627, 10464, 420, 67644, 5665, 311, 2723, 311, 420, 1537, 512, 1687, 7664, 1057, 7354, 946, 984, 3481, 2068, 315, 52997, 13238, 1344, 5518, 477, 11295, 4500, 315, 5820, 304, 3738, 7160, 19164, 5315, 13, 578, 7580, 315, 279, 2068, 374, 311, 1296, 1057, 8830, 315, 279, 61363, 1920, 555, 3339, 586, 20492, 4669, 14683, 8232, 13, 25215, 279, 4839, 18912, 315, 279, 61363, 6463, 279, 13336, 315, 49179, 315, 502, 4642, 13918, 649, 387, 19698, 13, 2030, 1579, 64036, 24654, 315, 279, 24924, 6683, 11, 14433, 33306, 323, 6070, 323, 1023, 6012, 315, 264, 5654, 9147, 603, 311, 22203, 279, 42080, 315, 220, 868, 315, 220, 1419, 3682, 4642, 13918, 927, 264, 1403, 4771, 4261, 11, 323, 220, 868, 315, 220, 843, 7354, 946, 984, 3481, 50, 1051, 8272, 555, 420, 5820, 13, 1226, 1511, 1579, 64036, 1972, 7394, 828, 2561, 520, 279, 6295, 24941, 25450, 58974, 320, 33, 7497, 46, 570, 578, 13186, 369, 20212, 527, 2728, 323, 14407, 11, 3235, 449, 1884, 369, 91880, 80502, 627, 791, 2450, 12018, 279, 7354, 946, 984, 3481, 374, 26126, 555, 26060, 279, 386, 12, 323, 1630, 15144, 1344, 5518, 304, 4848, 2919, 2768, 279, 5225, 323, 27393, 1521, 3135, 449, 1884, 315, 264, 1396, 315, 1023, 60336, 31956, 13, 1226, 1505, 279, 3254, 13918, 12146, 1047, 922, 220, 966, 4, 810, 1344, 5518, 1109, 279, 4459, 13668, 389, 4288, 2919, 11, 477, 3892, 3115, 810, 1109, 3927, 13918, 12146, 520, 4288, 13, 2684, 574, 264, 8895, 315, 220, 16, 13, 20, 311, 220, 17, 13, 15, 3115, 304, 61363, 11900, 7863, 311, 13918, 4183, 555, 7858, 1404, 477, 23965, 13, 1226, 1101, 1505, 459, 16048, 315, 220, 508, 4235, 1272, 4, 927, 3544, 477, 6485, 13918, 430, 617, 1047, 1063, 1344, 5518, 2736, 13, 578, 11595, 315, 16048, 706, 7319, 449, 892, 439, 584, 18661, 3217, 13, 763, 279, 220, 1187, 2902, 81, 4261, 2768, 1855, 5225, 11, 832, 477, 810, 386, 15144, 477, 7191, 1344, 5518, 10222, 220, 5332, 4, 315, 279, 892, 627, 1687, 1101, 10273, 279, 13336, 315, 20212, 555, 279, 220, 9756, 11477, 10074, 902, 1063, 7487, 617, 11922, 11, 719, 1766, 1884, 3135, 10284, 11201, 1109, 4288, 323, 33452, 38279, 311, 279, 7354, 946, 984, 3481, 50, 13, 2052, 315, 279, 8104, 4642, 13918, 430, 1051, 13942, 3060, 10222, 2391, 3958, 9282, 520, 426, 7497, 46, 477, 1051, 13942, 1606, 584, 1193, 11136, 30350, 369, 832, 5654, 520, 264, 892, 627, 4727, 17381, 8442, 25, 1537, 2585, 2199, 128001, -100, 48, 25, 32406, 89106, 1701, 5385, 323, 16256, 3639, 358, 1205, 374, 311, 1893, 5425, 3997, 18300, 89106, 1093, 420, 1701, 1193, 5385, 323, 16256, 13, 12522, 912, 4623, 1268, 311, 2567, 430, 2744, 304, 832, 2035, 369, 506, 25, 1314, 5740, 3185, 315, 7074, 3321, 4286, 32, 25, 674, 13284, 4075, 198, 517, 2361, 25, 22795, 280, 5740, 25, 20, 1804, 280, 1314, 25, 20, 1804, 280, 19172, 25, 15, 13, 20, 280, 1167, 22214, 25, 1484, 280, 1933, 51916, 280, 633, 73, 29767, 3390, 271, 32, 25, 2057, 1304, 433, 8521, 25, 9934, 420, 1648, 11, 720, 2580, 37, 3390, 4026, 25, 1795, 1129, 2580, 69, 3390, 5181, 14, 9851, 83, 56, 6018, 2691, 538, 429, 2664, 760, 2028, 374, 264, 6205, 2547, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 348, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 198, 262, 366, 614, 538, 429, 13284, 4075, 891, 1881, 19690, 10164, 4075, 198, 262, 694, 614, 397, 262, 1115, 374, 264, 6205, 2547, 198, 262, 1115, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 2028, 374, 264, 6205, 2547, 198, 524, 614, 28801, 87623, 4075, 341, 262, 19172, 25, 220, 15, 13, 20, 280, 262, 1933, 25, 37747, 280, 262, 2361, 25, 8521, 280, 262, 1948, 25, 3313, 280, 262, 2163, 25, 220, 1490, 16291, 633, 1271, 1005, 10973, 512, 87623, 4075, 341, 262, 19172, 25, 220, 15, 13, 20, 280, 262, 1933, 25, 37747, 280, 262, 2361, 25, 10973, 280, 262, 5740, 25, 220, 15, 280, 262, 1314, 25, 220, 15, 280, 633, 2580, 37, 3390, 25, 1795, 1129, 2580, 69, 3390, 5181, 14, 21, 9579, 39046, 8851, 32, 25, 499, 1253, 1005, 19172, 25, 15, 13, 20, 9545, 12840, 3596, 499, 6562, 1990, 220, 15, 323, 220, 16, 369, 420, 627, 21837, 435, 3390, 271, 32, 25, 7089, 10105, 527, 2294, 719, 814, 3287, 956, 1935, 2512, 315, 279, 2144, 430, 89106, 13434, 956, 636, 4183, 389, 6727, 505, 279, 8814, 13, 1115, 282, 3390, 5097, 2512, 477, 430, 25, 3788, 1129, 2580, 69, 3390, 5181, 10482, 72, 82265, 1032, 3529, 16, 81, 19, 78, 15, 73, 70, 14, 24, 6018, 2028, 690, 387, 2731, 3072, 369, 13072, 477, 1118, 5385, 627, 34758, 512, 2, 13284, 4075, 341, 220, 19172, 25, 220, 15, 13, 17, 280, 220, 3381, 7321, 25, 220, 4103, 1804, 280, 220, 1933, 25, 364, 11708, 1025, 220, 4092, 25, 5999, 38154, 1025, 220, 2361, 25, 10973, 280, 220, 8291, 25, 1670, 280, 220, 1217, 21090, 25, 7000, 280, 220, 482, 26472, 8865, 21090, 25, 7000, 280, 220, 482, 74, 1580, 8865, 21090, 25, 7000, 280, 220, 482, 47617, 8865, 21090, 25, 7000, 280, 220, 482, 1026, 8865, 21090, 25, 7000, 280, 220, 1314, 25, 220, 20, 1804, 280, 220, 5740, 25, 220, 20, 1804, 280, 3818, 32, 25, 4815, 87623, 4075, 517, 3506, 25, 28969, 280, 6884, 8048, 25, 21027, 7, 3192, 11, 220, 15, 11, 220, 15, 11, 220, 15, 13, 20, 317, 2627, 25, 966, 1804, 280, 3175, 25, 1041, 1804, 280, 5610, 87985, 280, 6750, 17917, 28778, 280, 35806, 6951, 28778, 280, 3571, 25, 22795, 280, 15205, 25, 20, 1804, 280, 1315, 25, 20, 1804, 280, 534, 14063, 397, 15896, 397, 2691, 538, 429, 13284, 4075, 891, 42, 86, 2786, 10343, 198, 524, 614, 397, 10328, 29, 25638, 6087, 28452, 524, 1762, 397, 524, 2664, 397, 524, 1580, 28801, 32, 25, 80291, 420, 649, 387, 315, 2294, 1520, 369, 499, 627, 614, 7502, 198, 517, 3175, 25, 2636, 1804, 280, 2627, 25, 5154, 1804, 26, 2355, 9649, 25, 17, 1804, 6573, 280, 9649, 8048, 14443, 6620, 25724, 37, 280, 534, 614, 33708, 198, 517, 3175, 25, 3443, 1804, 280, 2627, 25, 5245, 1804, 280, 9113, 25, 966, 1804, 220, 1135, 1804, 280, 6884, 8048, 14443, 27984, 280, 9649, 25, 16, 1804, 6573, 280, 9649, 8048, 14443, 6620, 25724, 37, 280, 21213, 25, 15, 13, 21, 280, 5428, 25, 7288, 17534, 4107, 28, 1399, 317, 534, 256, 3512, 33708, 281, 198, 517, 9113, 25, 966, 1804, 220, 1272, 1804, 280, 4115, 12923, 50822, 280, 3506, 14443, 6620, 25724, 37, 280, 633, 4061, 420, 2723, 3131, 382, 32, 25, 358, 1053, 7079, 5127, 1427, 1139, 15533, 57449, 13, 220, 1102, 706, 1027, 7396, 555, 1455, 33957, 1457, 2533, 922, 220, 679, 22, 13, 220, 5810, 374, 264, 2723, 311, 1063, 9904, 25, 3788, 1129, 5254, 10398, 5908, 916, 72691, 43970, 6851, 14, 15079, 92525, 29183, 14, 662, 220, 1102, 374, 779, 1790, 8831, 311, 2567, 701, 2199, 5540, 1405, 499, 1390, 1124, 11, 5423, 994, 433, 4131, 311, 100039, 13, 220, 1102, 3952, 757, 682, 315, 220, 508, 4520, 311, 4048, 1268, 311, 656, 433, 11, 323, 358, 2846, 264, 95678, 4999, 2691, 538, 429, 4297, 33885, 891, 262, 366, 79, 538, 429, 15339, 760, 9906, 524, 79, 397, 262, 366, 79, 538, 429, 14957, 760, 10343, 524, 79, 397, 524, 614, 10586, 322, 7413, 16256, 6454, 10000, 33885, 341, 262, 3113, 25, 5950, 280, 262, 5950, 34509, 74669, 25, 220, 1135, 4, 220, 1135, 16291, 262, 5950, 34509, 12, 1849, 25, 220, 1135, 4, 220, 1135, 16291, 633, 870, 4896, 341, 262, 5950, 26005, 19471, 25, 220, 17, 280, 262, 5950, 20115, 19471, 25, 220, 17, 280, 633, 23731, 341, 262, 5950, 26005, 19471, 25, 220, 16, 280, 262, 5950, 20115, 19471, 25, 220, 17, 280, 3818, 2028, 2082, 690, 6859, 279, 2199, 1139, 220, 19, 6273, 30236, 1821, 11, 25012, 279, 330, 9906, 1, 304, 279, 5740, 1314, 11, 323, 279, 330, 10343, 1, 304, 279, 5740, 2163, 2085, 3515, 311, 2349, 872, 39825, 477, 5737, 449, 37682, 627, 2028, 649, 387, 71462, 660, 1139, 1633, 6485, 5950, 50154, 449, 50917, 11, 24746, 57449, 315, 682, 12562, 11, 323, 1524, 57449, 24997, 4871, 57449, 11, 2085, 13490, 2585, 315, 701, 5540, 1475, 892, 2555, 4442, 320, 4931, 9506, 358, 2846, 3411, 520, 499, 4390, 39115, 420, 8779, 39371, 2103, 3966, 433, 4999, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 2520, 2041, 4185, 16491, 24507, 198, 34814, 11, 6781, 39, 9150, 706, 1403, 6156, 828, 8336, 25, 12506, 6067, 323, 14048, 32313, 13, 8242, 50369, 649, 387, 77810, 11, 1008, 2902, 511, 323, 10706, 278, 323, 2643, 539, 26069, 449, 6625, 29564, 10886, 13, 578, 435, 6061, 22262, 311, 2686, 1521, 11774, 555, 4857, 264, 51114, 323, 18641, 10795, 18629, 430, 19159, 7447, 86800, 11, 1579, 22867, 11, 323, 32100, 828, 389, 1274, 9770, 311, 28500, 627, 71251, 279, 5496, 4787, 315, 74923, 49246, 198, 791, 435, 6061, 52307, 7447, 86800, 828, 389, 279, 80431, 323, 5496, 4787, 315, 22475, 11, 33270, 7962, 1247, 388, 323, 57011, 889, 3974, 304, 37843, 320, 3875, 10977, 4390, 791, 1925, 13650, 9960, 555, 279, 435, 6061, 649, 387, 44029, 21771, 1139, 3116, 5789, 25, 63334, 323, 5897, 2704, 11, 41589, 94526, 11, 7100, 323, 8431, 55096, 32360, 13, 9062, 95868, 3158, 14861, 5370, 13650, 512, 33103, 12968, 323, 5897, 2704, 198, 12, 14048, 18528, 280, 12, 10026, 323, 4325, 11, 36801, 280, 12, 7351, 323, 3925, 315, 44153, 280, 12, 5897, 2704, 280, 12, 2680, 311, 2038, 280, 12, 2680, 311, 12437, 280, 12, 7095, 323, 5054, 20852, 280, 12, 7296, 323, 4868, 280, 12, 11542, 315, 3463, 280, 12, 11542, 315, 7351, 280, 12, 33726, 7119, 3885, 280, 12, 2680, 311, 23791, 3157, 280, 12, 64751, 30747, 323, 7512, 280, 12, 2680, 311, 4363, 323, 3424, 280, 12, 2680, 311, 6020, 10105, 280, 12, 3674, 9313, 280, 12, 2680, 311, 3691, 323, 26677, 280, 12, 2680, 311, 4335, 4907, 280, 12, 16945, 323, 44122, 323, 10723, 1664, 33851, 280, 12, 1716, 23791, 280, 12, 3217, 315, 68260, 627, 12, 2680, 311, 2890, 280, 12, 1716, 26677, 323, 47165, 2704, 280, 12, 50150, 2890, 280, 12, 2680, 311, 11983, 280, 12, 2680, 311, 3090, 77623, 323, 53056, 627, 8142, 828, 690, 387, 14890, 1701, 279, 1890, 828, 4526, 14473, 304, 1475, 3224, 11, 1855, 3488, 374, 21771, 439, 6332, 477, 2536, 24357, 11, 323, 279, 2536, 24357, 4860, 527, 5343, 477, 28544, 11911, 389, 279, 41961, 315, 3230, 13650, 304, 1855, 3224, 627, 69115, 4860, 527, 6319, 311, 6667, 2038, 922, 2225, 29939, 439, 264, 4459, 323, 922, 1274, 889, 527, 961, 315, 433, 627, 644, 1855, 14048, 11, 19905, 527, 13375, 449, 279, 2010, 315, 279, 14048, 477, 4423, 889, 374, 42066, 922, 279, 14048, 439, 264, 4459, 13, 89172, 527, 1101, 13375, 449, 264, 27716, 4183, 14048, 4562, 20330, 220, 868, 1667, 477, 3485, 889, 5825, 2038, 922, 3927, 2324, 11704, 13, 435, 6061, 19905, 1101, 6667, 828, 389, 264, 27716, 4183, 1716, 1234, 4330, 1667, 315, 4325, 323, 264, 27716, 4183, 5333, 889, 6688, 7342, 304, 279, 1566, 1403, 1667, 627, 5109, 828, 2680, 198, 791, 828, 9124, 690, 387, 17880, 2561, 320, 258, 8907, 449, 6781, 39, 9150, 753, 828, 9313, 4947, 8, 323, 649, 387, 1511, 311, 6179, 279, 7677, 11, 38737, 323, 3495, 315, 33149, 11, 3823, 275, 30627, 323, 4500, 14673, 439, 1664, 439, 74923, 49246, 11434, 5694, 627, 8142, 18189, 279, 23104, 311, 3493, 2038, 389, 11754, 22673, 11, 279, 435, 6061, 374, 30139, 4028, 5961, 323, 11, 927, 892, 11, 304, 17632, 449, 6625, 29564, 10886, 13, 23548, 6625, 10886, 3727, 435, 6061, 828, 30139, 449, 1023, 6625, 323, 5426, 32313, 627, 1199, 323, 3772, 220, 1644, 198, 6531, 7187, 323, 25936, 198, 4032, 4838, 288, 11, 33270, 7962, 1247, 388, 11, 34267, 471, 5633, 323, 3552, 4029, 29939, 35256, 279, 6156, 22673, 315, 2802, 311, 279, 435, 6061, 304, 1202, 2926, 10474, 13, 55654, 311, 1023, 49246, 22673, 374, 2291, 29412, 927, 892, 627, 45, 30154, 18740, 10688, 315, 1521, 2218, 22673, 527, 1511, 311, 8356, 3224, 11852, 13443, 323, 6029, 13, 30402, 6205, 12562, 323, 6205, 70742, 2187, 279, 5788, 315, 3135, 369, 3738, 1207, 17171, 315, 279, 2218, 7187, 323, 311, 6013, 311, 279, 5961, 529, 2038, 3966, 323, 30601, 627, 73432, 279, 10795, 198, 791, 435, 6061, 22262, 311, 3504, 1455, 315, 279, 22475, 323, 33270, 7962, 1247, 388, 21685, 304, 3428, 12, 323, 4827, 51167, 32197, 5961, 13, 578, 1176, 435, 6061, 36377, 527, 13205, 304, 95108, 11, 17076, 323, 4987, 43554, 627, 1199, 323, 3772, 220, 18, 198, 20002, 2617, 323, 1862, 198, 791, 435, 6061, 374, 11622, 9152, 323, 11798, 555, 6781, 39, 9150, 753, 8121, 2956, 5475, 449, 11156, 323, 6020, 1862, 505, 279, 4435, 8715, 12, 1899, 39, 9150, 30833, 2956, 5955, 389, 84413, 4185, 16491, 320, 41, 5744, 8, 323, 6781, 39, 9150, 753, 14829, 315, 1838, 321, 1873, 323, 23508, 627, 791, 990, 315, 279, 435, 6061, 374, 33687, 555, 19075, 323, 1888, 12659, 8040, 555, 9749, 6625, 10795, 38737, 11, 323, 1023, 958, 56665, 323, 958, 69992, 41979, 3318, 5315, 323, 6335, 5315, 320, 72, 1770, 13, 73703, 11, 445, 8653, 11, 30302, 4931, 11, 386, 19645, 11, 57211, 4403, 1242, 11, 5783, 69992, 41979, 22938, 5856, 389, 77073, 8242, 50369, 4390, 8906, 25, 510, 2386, 2682, 60, 128001, 128000, 41, 10190, 49, 8121, 6051, 7376, 61657, 828, 3600, 8152, 8423, 220, 2366, 17, 374, 459, 16945, 323, 304, 31410, 4007, 315, 279, 1510, 1614, 20034, 520, 1401, 12050, 11, 3157, 15174, 323, 6650, 315, 1401, 4311, 13, 578, 61657, 2956, 8471, 4007, 1101, 18065, 279, 5199, 3157, 33997, 11, 3495, 323, 4500, 11, 502, 2027, 38175, 11, 2027, 14847, 11, 323, 15481, 6650, 315, 1401, 28650, 10565, 304, 279, 3157, 520, 2225, 20789, 323, 2254, 29505, 13, 662, 578, 34030, 6492, 5727, 264, 54243, 323, 68144, 13340, 315, 279, 3728, 61657, 2956, 8471, 3157, 449, 1202, 3230, 54001, 13918, 11, 2737, 279, 2768, 1401, 4311, 81474, 5161, 11, 11680, 13374, 53035, 39546, 11, 21750, 4323, 437, 33514, 23508, 11, 61657, 65606, 13332, 11, 29935, 41740, 11, 14434, 38, 64097, 11, 43354, 74442, 6486, 4323, 437, 33514, 8471, 11, 41663, 60744, 11, 9420, 18064, 11, 35514, 7934, 11746, 15264, 627, 6806, 4892, 3778, 24088, 828, 3600, 5064, 25, 3723, 4273, 11, 7008, 323, 12550, 627, 6806, 4987, 323, 10913, 5270, 24088, 828, 3600, 5064, 25, 32164, 11, 34100, 323, 16327, 627, 6806, 12877, 6460, 323, 10384, 61657, 2956, 8471, 24780, 25, 18387, 23931, 11, 3723, 10989, 49801, 11, 17442, 11, 15212, 323, 4987, 10384, 627, 6806, 13936, 64976, 24088, 828, 3600, 5064, 25, 6890, 11, 5734, 11, 6457, 11, 4987, 12126, 11, 24922, 11, 21181, 323, 8494, 627, 791, 61657, 2956, 8471, 5064, 1934, 77039, 3177, 389, 279, 3728, 61657, 2956, 8471, 3157, 9547, 1778, 439, 12050, 11, 10708, 11, 323, 312, 7610, 13, 578, 61657, 2956, 8471, 5064, 1934, 36611, 1579, 6650, 5789, 3235, 449, 6650, 9547, 10695, 311, 6678, 279, 21282, 13, 578, 61657, 2956, 8471, 4007, 14861, 42830, 323, 52452, 907, 8957, 6492, 11, 11156, 18845, 11, 323, 39037, 753, 21594, 30500, 6492, 13, 578, 61657, 2956, 8471, 1934, 1101, 5825, 2883, 23862, 304, 3878, 315, 13254, 11, 11626, 12593, 11, 2853, 77651, 11, 3157, 6864, 2065, 11, 2883, 6650, 11, 323, 3157, 907, 8957, 627, 791, 1934, 6209, 264, 16757, 1684, 315, 5370, 9547, 10043, 477, 84393, 279, 4500, 315, 279, 3728, 61657, 2956, 8471, 3157, 13, 23212, 11, 433, 5825, 459, 24131, 315, 1855, 3157, 10449, 1778, 439, 61657, 2956, 8471, 842, 1217, 11, 61657, 2956, 8471, 2027, 955, 11, 61657, 2956, 8471, 3851, 323, 5475, 5654, 24088, 828, 13, 61657, 2956, 8471, 2883, 5643, 5764, 6492, 315, 2027, 20136, 11, 13254, 11, 13692, 1831, 6492, 11, 19115, 6492, 323, 5652, 26006, 315, 279, 61657, 2956, 8471, 5552, 2883, 13, 578, 61657, 2956, 8471, 1934, 21935, 3345, 6666, 311, 279, 5788, 11, 13254, 11, 3430, 323, 20547, 4850, 304, 11987, 315, 2204, 13918, 627, 128001 ]
[ -100, 2520, 2041, 4185, 16491, 24507, 198, 34814, 11, 6781, 39, 9150, 706, 1403, 6156, 828, 8336, 25, 12506, 6067, 323, 14048, 32313, 13, 8242, 50369, 649, 387, 77810, 11, 1008, 2902, 511, 323, 10706, 278, 323, 2643, 539, 26069, 449, 6625, 29564, 10886, 13, 578, 435, 6061, 22262, 311, 2686, 1521, 11774, 555, 4857, 264, 51114, 323, 18641, 10795, 18629, 430, 19159, 7447, 86800, 11, 1579, 22867, 11, 323, 32100, 828, 389, 1274, 9770, 311, 28500, 627, 71251, 279, 5496, 4787, 315, 74923, 49246, 198, 791, 435, 6061, 52307, 7447, 86800, 828, 389, 279, 80431, 323, 5496, 4787, 315, 22475, 11, 33270, 7962, 1247, 388, 323, 57011, 889, 3974, 304, 37843, 320, 3875, 10977, 4390, 791, 1925, 13650, 9960, 555, 279, 435, 6061, 649, 387, 44029, 21771, 1139, 3116, 5789, 25, 63334, 323, 5897, 2704, 11, 41589, 94526, 11, 7100, 323, 8431, 55096, 32360, 13, 9062, 95868, 3158, 14861, 5370, 13650, 512, 33103, 12968, 323, 5897, 2704, 198, 12, 14048, 18528, 280, 12, 10026, 323, 4325, 11, 36801, 280, 12, 7351, 323, 3925, 315, 44153, 280, 12, 5897, 2704, 280, 12, 2680, 311, 2038, 280, 12, 2680, 311, 12437, 280, 12, 7095, 323, 5054, 20852, 280, 12, 7296, 323, 4868, 280, 12, 11542, 315, 3463, 280, 12, 11542, 315, 7351, 280, 12, 33726, 7119, 3885, 280, 12, 2680, 311, 23791, 3157, 280, 12, 64751, 30747, 323, 7512, 280, 12, 2680, 311, 4363, 323, 3424, 280, 12, 2680, 311, 6020, 10105, 280, 12, 3674, 9313, 280, 12, 2680, 311, 3691, 323, 26677, 280, 12, 2680, 311, 4335, 4907, 280, 12, 16945, 323, 44122, 323, 10723, 1664, 33851, 280, 12, 1716, 23791, 280, 12, 3217, 315, 68260, 627, 12, 2680, 311, 2890, 280, 12, 1716, 26677, 323, 47165, 2704, 280, 12, 50150, 2890, 280, 12, 2680, 311, 11983, 280, 12, 2680, 311, 3090, 77623, 323, 53056, 627, 8142, 828, 690, 387, 14890, 1701, 279, 1890, 828, 4526, 14473, 304, 1475, 3224, 11, 1855, 3488, 374, 21771, 439, 6332, 477, 2536, 24357, 11, 323, 279, 2536, 24357, 4860, 527, 5343, 477, 28544, 11911, 389, 279, 41961, 315, 3230, 13650, 304, 1855, 3224, 627, 69115, 4860, 527, 6319, 311, 6667, 2038, 922, 2225, 29939, 439, 264, 4459, 323, 922, 1274, 889, 527, 961, 315, 433, 627, 644, 1855, 14048, 11, 19905, 527, 13375, 449, 279, 2010, 315, 279, 14048, 477, 4423, 889, 374, 42066, 922, 279, 14048, 439, 264, 4459, 13, 89172, 527, 1101, 13375, 449, 264, 27716, 4183, 14048, 4562, 20330, 220, 868, 1667, 477, 3485, 889, 5825, 2038, 922, 3927, 2324, 11704, 13, 435, 6061, 19905, 1101, 6667, 828, 389, 264, 27716, 4183, 1716, 1234, 4330, 1667, 315, 4325, 323, 264, 27716, 4183, 5333, 889, 6688, 7342, 304, 279, 1566, 1403, 1667, 627, 5109, 828, 2680, 198, 791, 828, 9124, 690, 387, 17880, 2561, 320, 258, 8907, 449, 6781, 39, 9150, 753, 828, 9313, 4947, 8, 323, 649, 387, 1511, 311, 6179, 279, 7677, 11, 38737, 323, 3495, 315, 33149, 11, 3823, 275, 30627, 323, 4500, 14673, 439, 1664, 439, 74923, 49246, 11434, 5694, 627, 8142, 18189, 279, 23104, 311, 3493, 2038, 389, 11754, 22673, 11, 279, 435, 6061, 374, 30139, 4028, 5961, 323, 11, 927, 892, 11, 304, 17632, 449, 6625, 29564, 10886, 13, 23548, 6625, 10886, 3727, 435, 6061, 828, 30139, 449, 1023, 6625, 323, 5426, 32313, 627, 1199, 323, 3772, 220, 1644, 198, 6531, 7187, 323, 25936, 198, 4032, 4838, 288, 11, 33270, 7962, 1247, 388, 11, 34267, 471, 5633, 323, 3552, 4029, 29939, 35256, 279, 6156, 22673, 315, 2802, 311, 279, 435, 6061, 304, 1202, 2926, 10474, 13, 55654, 311, 1023, 49246, 22673, 374, 2291, 29412, 927, 892, 627, 45, 30154, 18740, 10688, 315, 1521, 2218, 22673, 527, 1511, 311, 8356, 3224, 11852, 13443, 323, 6029, 13, 30402, 6205, 12562, 323, 6205, 70742, 2187, 279, 5788, 315, 3135, 369, 3738, 1207, 17171, 315, 279, 2218, 7187, 323, 311, 6013, 311, 279, 5961, 529, 2038, 3966, 323, 30601, 627, 73432, 279, 10795, 198, 791, 435, 6061, 22262, 311, 3504, 1455, 315, 279, 22475, 323, 33270, 7962, 1247, 388, 21685, 304, 3428, 12, 323, 4827, 51167, 32197, 5961, 13, 578, 1176, 435, 6061, 36377, 527, 13205, 304, 95108, 11, 17076, 323, 4987, 43554, 627, 1199, 323, 3772, 220, 18, 198, 20002, 2617, 323, 1862, 198, 791, 435, 6061, 374, 11622, 9152, 323, 11798, 555, 6781, 39, 9150, 753, 8121, 2956, 5475, 449, 11156, 323, 6020, 1862, 505, 279, 4435, 8715, 12, 1899, 39, 9150, 30833, 2956, 5955, 389, 84413, 4185, 16491, 320, 41, 5744, 8, 323, 6781, 39, 9150, 753, 14829, 315, 1838, 321, 1873, 323, 23508, 627, 791, 990, 315, 279, 435, 6061, 374, 33687, 555, 19075, 323, 1888, 12659, 8040, 555, 9749, 6625, 10795, 38737, 11, 323, 1023, 958, 56665, 323, 958, 69992, 41979, 3318, 5315, 323, 6335, 5315, 320, 72, 1770, 13, 73703, 11, 445, 8653, 11, 30302, 4931, 11, 386, 19645, 11, 57211, 4403, 1242, 11, 5783, 69992, 41979, 22938, 5856, 389, 77073, 8242, 50369, 4390, 8906, 25, 510, 2386, 2682, 60, 128001, -100, 41, 10190, 49, 8121, 6051, 7376, 61657, 828, 3600, 8152, 8423, 220, 2366, 17, 374, 459, 16945, 323, 304, 31410, 4007, 315, 279, 1510, 1614, 20034, 520, 1401, 12050, 11, 3157, 15174, 323, 6650, 315, 1401, 4311, 13, 578, 61657, 2956, 8471, 4007, 1101, 18065, 279, 5199, 3157, 33997, 11, 3495, 323, 4500, 11, 502, 2027, 38175, 11, 2027, 14847, 11, 323, 15481, 6650, 315, 1401, 28650, 10565, 304, 279, 3157, 520, 2225, 20789, 323, 2254, 29505, 13, 662, 578, 34030, 6492, 5727, 264, 54243, 323, 68144, 13340, 315, 279, 3728, 61657, 2956, 8471, 3157, 449, 1202, 3230, 54001, 13918, 11, 2737, 279, 2768, 1401, 4311, 81474, 5161, 11, 11680, 13374, 53035, 39546, 11, 21750, 4323, 437, 33514, 23508, 11, 61657, 65606, 13332, 11, 29935, 41740, 11, 14434, 38, 64097, 11, 43354, 74442, 6486, 4323, 437, 33514, 8471, 11, 41663, 60744, 11, 9420, 18064, 11, 35514, 7934, 11746, 15264, 627, 6806, 4892, 3778, 24088, 828, 3600, 5064, 25, 3723, 4273, 11, 7008, 323, 12550, 627, 6806, 4987, 323, 10913, 5270, 24088, 828, 3600, 5064, 25, 32164, 11, 34100, 323, 16327, 627, 6806, 12877, 6460, 323, 10384, 61657, 2956, 8471, 24780, 25, 18387, 23931, 11, 3723, 10989, 49801, 11, 17442, 11, 15212, 323, 4987, 10384, 627, 6806, 13936, 64976, 24088, 828, 3600, 5064, 25, 6890, 11, 5734, 11, 6457, 11, 4987, 12126, 11, 24922, 11, 21181, 323, 8494, 627, 791, 61657, 2956, 8471, 5064, 1934, 77039, 3177, 389, 279, 3728, 61657, 2956, 8471, 3157, 9547, 1778, 439, 12050, 11, 10708, 11, 323, 312, 7610, 13, 578, 61657, 2956, 8471, 5064, 1934, 36611, 1579, 6650, 5789, 3235, 449, 6650, 9547, 10695, 311, 6678, 279, 21282, 13, 578, 61657, 2956, 8471, 4007, 14861, 42830, 323, 52452, 907, 8957, 6492, 11, 11156, 18845, 11, 323, 39037, 753, 21594, 30500, 6492, 13, 578, 61657, 2956, 8471, 1934, 1101, 5825, 2883, 23862, 304, 3878, 315, 13254, 11, 11626, 12593, 11, 2853, 77651, 11, 3157, 6864, 2065, 11, 2883, 6650, 11, 323, 3157, 907, 8957, 627, 791, 1934, 6209, 264, 16757, 1684, 315, 5370, 9547, 10043, 477, 84393, 279, 4500, 315, 279, 3728, 61657, 2956, 8471, 3157, 13, 23212, 11, 433, 5825, 459, 24131, 315, 1855, 3157, 10449, 1778, 439, 61657, 2956, 8471, 842, 1217, 11, 61657, 2956, 8471, 2027, 955, 11, 61657, 2956, 8471, 3851, 323, 5475, 5654, 24088, 828, 13, 61657, 2956, 8471, 2883, 5643, 5764, 6492, 315, 2027, 20136, 11, 13254, 11, 13692, 1831, 6492, 11, 19115, 6492, 323, 5652, 26006, 315, 279, 61657, 2956, 8471, 5552, 2883, 13, 578, 61657, 2956, 8471, 1934, 21935, 3345, 6666, 311, 279, 5788, 11, 13254, 11, 3430, 323, 20547, 4850, 304, 11987, 315, 2204, 13918, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 40, 4070, 1027, 1234, 279, 21455, 430, 994, 499, 1935, 62345, 449, 13128, 11, 433, 753, 810, 7524, 13, 578, 7319, 3392, 315, 32152, 24266, 279, 42500, 33969, 311, 701, 24569, 11, 4857, 810, 16124, 11, 379, 2649, 379, 2649, 13, 358, 3288, 264, 6661, 311, 279, 79183, 66, 8274, 8483, 44798, 11, 323, 814, 3288, 757, 1203, 459, 7185, 6661, 13, 2209, 433, 430, 814, 73956, 757, 11, 477, 1097, 358, 5076, 5380, 791, 15657, 66759, 34658, 988, 430, 5353, 1579, 5990, 315, 32152, 304, 264, 2875, 4261, 315, 892, 2744, 29551, 1030, 2352, 11, 709, 323, 1243, 1523, 13, 8886, 1070, 15657, 66759, 1302, 11, 477, 264, 10824, 315, 15657, 66759, 1302, 430, 690, 5353, 264, 11295, 5376, 315, 32152, 439, 1664, 439, 264, 14201, 479, 315, 430, 7319, 2237, 369, 459, 11838, 4261, 315, 892, 30, 358, 574, 3309, 430, 279, 1888, 3284, 10824, 369, 420, 374, 294, 428, 25888, 323, 55756, 347, 39749, 258, 11, 719, 420, 24710, 5084, 1633, 4689, 311, 757, 13, 3053, 499, 38263, 420, 4360, 5380, 40, 1097, 35792, 420, 2038, 369, 2547, 24177, 10096, 11, 439, 358, 1053, 1093, 311, 7216, 704, 279, 1888, 10824, 315, 62345, 311, 19780, 264, 13128, 22822, 369, 1772, 29721, 412, 627, 2170, 279, 26677, 380, 311, 4491, 13, 29849, 11, 16450, 13, 20238, 11, 44312, 66864, 5797, 797, 1414, 22591, 11, 4435, 7572, 53003, 28331, 11, 323, 279, 25944, 7411, 11, 584, 617, 13375, 14830, 7978, 520, 279, 3907, 315, 9784, 389, 6721, 23579, 369, 279, 3347, 220, 508, 1667, 627, 791, 41302, 430, 12231, 1113, 32152, 5990, 1977, 16124, 374, 37581, 1539, 35, 323, 5076, 627, 7009, 2011, 539, 1093, 904, 10937, 369, 872, 2547, 99607, 627, 2028, 2077, 374, 78630, 323, 5076, 13, 6104, 32152, 5196, 1253, 539, 1054, 5957, 16124, 863, 320, 300, 422, 904, 36908, 1587, 420, 555, 5196, 705, 32152, 374, 279, 1455, 459, 57565, 36908, 430, 701, 2547, 19159, 13, 17586, 433, 11, 499, 8434, 1431, 387, 30240, 1790, 16124, 3148, 520, 682, 13126, 433, 8779, 311, 45641, 13398, 37493, 1139, 5942, 627, 2170, 3117, 439, 701, 4113, 3488, 11, 10035, 11, 32152, 1587, 1514, 264, 3560, 304, 1268, 499, 1053, 35406, 37493, 902, 374, 3249, 358, 1053, 1193, 1514, 2212, 449, 7315, 35872, 13128, 63130, 477, 279, 1093, 994, 3794, 1139, 14560, 3428, 35872, 10173, 287, 627, 48120, 445, 34008, 449, 17054, 1630, 627, 32, 2867, 3187, 315, 279, 459, 57565, 323, 7294, 1824, 2143, 7918, 6372, 315, 32152, 374, 3970, 304, 83920, 4078, 358, 1891, 10448, 1233, 320, 14965, 649, 1431, 513, 9537, 32152, 11, 315, 3388, 570, 2435, 9229, 45054, 315, 220, 966, 16701, 304, 264, 2305, 477, 1403, 0, 358, 617, 3970, 420, 1176, 1450, 627, 3915, 264, 3495, 13356, 11, 6958, 709, 3293, 8544, 389, 34625, 13128, 555, 11291, 52310, 320, 14965, 15972, 2225, 77379, 323, 358, 11, 4315, 1063, 1790, 44922, 81133, 304, 279, 2115, 570, 1472, 4805, 1518, 2867, 40099, 315, 1268, 279, 1772, 29721, 412, 32152, 51760, 14224, 72359, 449, 7319, 13128, 39975, 477, 13241, 1054, 4816, 13128, 8335, 113068, 3112, 584, 2536, 51389, 10448, 1233, 649, 6847, 37735, 1057, 1866, 62268, 2315, 2085, 3515, 311, 1005, 65246, 13, 4060, 53595, 320, 10701, 11, 5933, 8, 32152, 374, 1234, 1054, 20310, 2585, 863, 1093, 912, 1023, 36908, 627, 9023, 13, 49281, 1543, 11, 358, 1093, 701, 1566, 5224, 4999, 25162, 727, 753, 1772, 2751, 757, 311, 7422, 922, 955, 358, 1891, 10448, 1233, 529, 32152, 2585, 304, 16898, 2720, 449, 4785, 4967, 13, 33634, 617, 904, 11555, 389, 1268, 4423, 2768, 264, 2547, 24177, 19433, 889, 1101, 706, 955, 358, 20335, 1253, 37735, 420, 8624, 311, 872, 9610, 555, 3515, 4686, 2585, 927, 32152, 9889, 13, 358, 104015, 387, 8173, 304, 11011, 1274, 753, 11555, 439, 358, 7182, 1097, 264, 71975, 889, 706, 1027, 4785, 4967, 369, 922, 4848, 1667, 1457, 627, 40, 3288, 459, 2613, 1203, 311, 1461, 10371, 311, 10552, 813, 4320, 311, 757, 264, 2697, 810, 304, 8149, 11, 323, 358, 40522, 81992, 264, 1984, 505, 813, 19607, 430, 568, 374, 12153, 311, 4320, 856, 3488, 13, 15668, 11190, 627, 24220, 11, 584, 2751, 430, 1790, 505, 813, 1176, 2077, 627, 12834, 279, 1054, 97235, 1147, 863, 7846, 1431, 4320, 856, 3488, 1981, 3639, 922, 499, 7752, 30, 3639, 374, 279, 1888, 35872, 23569, 369, 1772, 26308, 30, 5046, 3388, 1070, 753, 9693, 68273, 1780, 11, 719, 904, 1023, 6848, 5380, 6854, 499, 37393, 32152, 449, 1120, 5912, 3691, 13, 2100, 422, 358, 26308, 11, 7172, 856, 13128, 27116, 11, 1243, 617, 1063, 3691, 1579, 304, 53609, 1981, 14724, 420, 37393, 32152, 55080, 1541, 1431, 1440, 4205, 922, 420, 3917, 779, 22371, 358, 4344, 3411, 1139, 433, 1457, 627, 22111, 2363, 11497, 682, 922, 420, 3917, 627, 33, 11345, 478, 57257, 374, 9193, 5526, 369, 420, 13, 4343, 704, 279, 2027, 4617, 627, 8595, 539, 4295, 2778, 323, 1505, 704, 369, 6261, 5380, 40, 4805, 636, 499, 3940, 13, 220, 9372, 369, 6392, 555, 3842, 9084, 37489, 11, 6941, 32817, 11, 49281, 11044, 12310, 727, 11, 5099, 627, 4599, 499, 4295, 2778, 11, 1427, 369, 1054, 50, 20222, 279, 3962, 12, 6919, 412, 61112, 113068, 24901, 11, 1005, 57257, 13, 9369, 389, 279, 2027, 369, 264, 2027, 4617, 389, 430, 627, 10445, 389, 9420, 1053, 499, 1755, 4288, 1274, 889, 990, 369, 264, 5496, 311, 2503, 2212, 323, 8493, 892, 67805, 499, 389, 279, 3560, 315, 32152, 2949, 279, 2547, 5380, 40, 4344, 2771, 422, 4288, 1274, 3940, 4477, 311, 757, 520, 990, 11, 10371, 757, 369, 9650, 2949, 856, 2115, 11, 358, 7070, 5042, 7782, 264, 8294, 34978, 3830, 1981, 358, 7070, 13085, 814, 682, 617, 1063, 955, 315, 990, 814, 1288, 387, 3815, 627, 128001, 128000, 8142, 87659, 527, 279, 8792, 3838, 315, 24863, 369, 264, 8857, 315, 20071, 2212, 279, 1917, 11, 1690, 315, 15256, 596, 10977, 617, 8040, 872, 1866, 35947, 10597, 12908, 13, 4314, 58535, 12908, 8854, 279, 2204, 27833, 11, 3980, 67245, 323, 58689, 315, 15256, 430, 3136, 311, 31518, 279, 10451, 14135, 627, 644, 420, 2363, 11, 432, 450, 16965, 386, 675, 5676, 35006, 17226, 10977, 323, 872, 6732, 315, 24863, 11, 505, 279, 51112, 323, 9222, 352, 7907, 7911, 311, 279, 24040, 3444, 80, 1494, 323, 20673, 266, 31764, 3444, 13, 65514, 527, 11784, 311, 264, 8205, 315, 10451, 12908, 11, 27946, 323, 37067, 1389, 872, 12742, 14726, 323, 279, 57679, 3856, 4147, 2949, 1124, 11, 439, 1664, 439, 279, 10096, 814, 8854, 439, 4029, 36282, 323, 24915, 315, 9764, 13, 31886, 279, 100031, 21667, 43563, 14847, 311, 42028, 4029, 3966, 323, 2254, 22484, 11, 505, 5476, 62421, 323, 5734, 311, 10471, 323, 6890, 13, 1115, 44087, 1113, 10795, 49193, 279, 5199, 39598, 2191, 430, 3752, 5014, 279, 5496, 10451, 14135, 3432, 627, 4518, 459, 8819, 315, 31886, 279, 100031, 198, 2620, 315, 36962, 198, 38255, 15957, 220, 16, 25, 12847, 14295, 323, 872, 24979, 1439, 12847, 14295, 323, 872, 11847, 18098, 276, 323, 70110, 12847, 14295, 8620, 12847, 14295, 549, 1108, 324, 12847, 14295, 473, 2005, 12847, 14295, 578, 69440, 12847, 14295, 315, 64994, 578, 70591, 315, 279, 20459, 73976, 100031, 20289, 15957, 220, 17, 25, 100031, 64813, 578, 8375, 266, 578, 49179, 315, 56110, 323, 41804, 63650, 73177, 811, 40371, 323, 41804, 63650, 358, 339, 3458, 6, 1003, 2850, 100031, 64813, 56110, 6168, 6082, 311, 279, 37728, 323, 813, 12517, 25, 356, 12267, 818, 12847, 14295, 15957, 220, 18, 25, 41804, 63650, 33038, 315, 21286, 2676, 10471, 596, 28997, 352, 7907, 4912, 300, 323, 350, 14966, 82553, 6890, 596, 14937, 324, 74, 10118, 300, 323, 90912, 2308, 300, 578, 90912, 2308, 300, 315, 29872, 3409, 578, 14937, 324, 74, 10118, 300, 315, 69547, 578, 2209, 3796, 285, 323, 279, 20614, 266, 31764, 3444, 15957, 220, 19, 25, 328, 1739, 72, 33038, 315, 6168, 6082, 328, 1739, 72, 350, 2850, 80, 300, 1183, 4628, 328, 1739, 72, 69156, 315, 87222, 578, 20774, 3444, 80, 1494, 578, 1901, 41978, 7911, 578, 56534, 441, 323, 350, 14966, 7911, 5476, 62421, 596, 350, 3251, 5676, 7365, 10471, 596, 22652, 2846, 266, 41897, 72, 7365, 17442, 596, 118266, 3532, 72, 7365, 15957, 220, 20, 25, 4149, 66, 2518, 38276, 5548, 578, 1901, 1609, 6091, 315, 17076, 578, 1901, 1609, 81, 16222, 84203, 578, 423, 2739, 32893, 74977, 25, 578, 7572, 323, 3700, 8839, 315, 1856, 4269, 2191, 67142, 661, 18559, 15903, 18242, 1796, 315, 39154, 811, 52082, 51122, 84127, 7181, 389, 279, 2991, 8167, 128001 ]
[ -100, 40, 4070, 1027, 1234, 279, 21455, 430, 994, 499, 1935, 62345, 449, 13128, 11, 433, 753, 810, 7524, 13, 578, 7319, 3392, 315, 32152, 24266, 279, 42500, 33969, 311, 701, 24569, 11, 4857, 810, 16124, 11, 379, 2649, 379, 2649, 13, 358, 3288, 264, 6661, 311, 279, 79183, 66, 8274, 8483, 44798, 11, 323, 814, 3288, 757, 1203, 459, 7185, 6661, 13, 2209, 433, 430, 814, 73956, 757, 11, 477, 1097, 358, 5076, 5380, 791, 15657, 66759, 34658, 988, 430, 5353, 1579, 5990, 315, 32152, 304, 264, 2875, 4261, 315, 892, 2744, 29551, 1030, 2352, 11, 709, 323, 1243, 1523, 13, 8886, 1070, 15657, 66759, 1302, 11, 477, 264, 10824, 315, 15657, 66759, 1302, 430, 690, 5353, 264, 11295, 5376, 315, 32152, 439, 1664, 439, 264, 14201, 479, 315, 430, 7319, 2237, 369, 459, 11838, 4261, 315, 892, 30, 358, 574, 3309, 430, 279, 1888, 3284, 10824, 369, 420, 374, 294, 428, 25888, 323, 55756, 347, 39749, 258, 11, 719, 420, 24710, 5084, 1633, 4689, 311, 757, 13, 3053, 499, 38263, 420, 4360, 5380, 40, 1097, 35792, 420, 2038, 369, 2547, 24177, 10096, 11, 439, 358, 1053, 1093, 311, 7216, 704, 279, 1888, 10824, 315, 62345, 311, 19780, 264, 13128, 22822, 369, 1772, 29721, 412, 627, 2170, 279, 26677, 380, 311, 4491, 13, 29849, 11, 16450, 13, 20238, 11, 44312, 66864, 5797, 797, 1414, 22591, 11, 4435, 7572, 53003, 28331, 11, 323, 279, 25944, 7411, 11, 584, 617, 13375, 14830, 7978, 520, 279, 3907, 315, 9784, 389, 6721, 23579, 369, 279, 3347, 220, 508, 1667, 627, 791, 41302, 430, 12231, 1113, 32152, 5990, 1977, 16124, 374, 37581, 1539, 35, 323, 5076, 627, 7009, 2011, 539, 1093, 904, 10937, 369, 872, 2547, 99607, 627, 2028, 2077, 374, 78630, 323, 5076, 13, 6104, 32152, 5196, 1253, 539, 1054, 5957, 16124, 863, 320, 300, 422, 904, 36908, 1587, 420, 555, 5196, 705, 32152, 374, 279, 1455, 459, 57565, 36908, 430, 701, 2547, 19159, 13, 17586, 433, 11, 499, 8434, 1431, 387, 30240, 1790, 16124, 3148, 520, 682, 13126, 433, 8779, 311, 45641, 13398, 37493, 1139, 5942, 627, 2170, 3117, 439, 701, 4113, 3488, 11, 10035, 11, 32152, 1587, 1514, 264, 3560, 304, 1268, 499, 1053, 35406, 37493, 902, 374, 3249, 358, 1053, 1193, 1514, 2212, 449, 7315, 35872, 13128, 63130, 477, 279, 1093, 994, 3794, 1139, 14560, 3428, 35872, 10173, 287, 627, 48120, 445, 34008, 449, 17054, 1630, 627, 32, 2867, 3187, 315, 279, 459, 57565, 323, 7294, 1824, 2143, 7918, 6372, 315, 32152, 374, 3970, 304, 83920, 4078, 358, 1891, 10448, 1233, 320, 14965, 649, 1431, 513, 9537, 32152, 11, 315, 3388, 570, 2435, 9229, 45054, 315, 220, 966, 16701, 304, 264, 2305, 477, 1403, 0, 358, 617, 3970, 420, 1176, 1450, 627, 3915, 264, 3495, 13356, 11, 6958, 709, 3293, 8544, 389, 34625, 13128, 555, 11291, 52310, 320, 14965, 15972, 2225, 77379, 323, 358, 11, 4315, 1063, 1790, 44922, 81133, 304, 279, 2115, 570, 1472, 4805, 1518, 2867, 40099, 315, 1268, 279, 1772, 29721, 412, 32152, 51760, 14224, 72359, 449, 7319, 13128, 39975, 477, 13241, 1054, 4816, 13128, 8335, 113068, 3112, 584, 2536, 51389, 10448, 1233, 649, 6847, 37735, 1057, 1866, 62268, 2315, 2085, 3515, 311, 1005, 65246, 13, 4060, 53595, 320, 10701, 11, 5933, 8, 32152, 374, 1234, 1054, 20310, 2585, 863, 1093, 912, 1023, 36908, 627, 9023, 13, 49281, 1543, 11, 358, 1093, 701, 1566, 5224, 4999, 25162, 727, 753, 1772, 2751, 757, 311, 7422, 922, 955, 358, 1891, 10448, 1233, 529, 32152, 2585, 304, 16898, 2720, 449, 4785, 4967, 13, 33634, 617, 904, 11555, 389, 1268, 4423, 2768, 264, 2547, 24177, 19433, 889, 1101, 706, 955, 358, 20335, 1253, 37735, 420, 8624, 311, 872, 9610, 555, 3515, 4686, 2585, 927, 32152, 9889, 13, 358, 104015, 387, 8173, 304, 11011, 1274, 753, 11555, 439, 358, 7182, 1097, 264, 71975, 889, 706, 1027, 4785, 4967, 369, 922, 4848, 1667, 1457, 627, 40, 3288, 459, 2613, 1203, 311, 1461, 10371, 311, 10552, 813, 4320, 311, 757, 264, 2697, 810, 304, 8149, 11, 323, 358, 40522, 81992, 264, 1984, 505, 813, 19607, 430, 568, 374, 12153, 311, 4320, 856, 3488, 13, 15668, 11190, 627, 24220, 11, 584, 2751, 430, 1790, 505, 813, 1176, 2077, 627, 12834, 279, 1054, 97235, 1147, 863, 7846, 1431, 4320, 856, 3488, 1981, 3639, 922, 499, 7752, 30, 3639, 374, 279, 1888, 35872, 23569, 369, 1772, 26308, 30, 5046, 3388, 1070, 753, 9693, 68273, 1780, 11, 719, 904, 1023, 6848, 5380, 6854, 499, 37393, 32152, 449, 1120, 5912, 3691, 13, 2100, 422, 358, 26308, 11, 7172, 856, 13128, 27116, 11, 1243, 617, 1063, 3691, 1579, 304, 53609, 1981, 14724, 420, 37393, 32152, 55080, 1541, 1431, 1440, 4205, 922, 420, 3917, 779, 22371, 358, 4344, 3411, 1139, 433, 1457, 627, 22111, 2363, 11497, 682, 922, 420, 3917, 627, 33, 11345, 478, 57257, 374, 9193, 5526, 369, 420, 13, 4343, 704, 279, 2027, 4617, 627, 8595, 539, 4295, 2778, 323, 1505, 704, 369, 6261, 5380, 40, 4805, 636, 499, 3940, 13, 220, 9372, 369, 6392, 555, 3842, 9084, 37489, 11, 6941, 32817, 11, 49281, 11044, 12310, 727, 11, 5099, 627, 4599, 499, 4295, 2778, 11, 1427, 369, 1054, 50, 20222, 279, 3962, 12, 6919, 412, 61112, 113068, 24901, 11, 1005, 57257, 13, 9369, 389, 279, 2027, 369, 264, 2027, 4617, 389, 430, 627, 10445, 389, 9420, 1053, 499, 1755, 4288, 1274, 889, 990, 369, 264, 5496, 311, 2503, 2212, 323, 8493, 892, 67805, 499, 389, 279, 3560, 315, 32152, 2949, 279, 2547, 5380, 40, 4344, 2771, 422, 4288, 1274, 3940, 4477, 311, 757, 520, 990, 11, 10371, 757, 369, 9650, 2949, 856, 2115, 11, 358, 7070, 5042, 7782, 264, 8294, 34978, 3830, 1981, 358, 7070, 13085, 814, 682, 617, 1063, 955, 315, 990, 814, 1288, 387, 3815, 627, 128001, -100, 8142, 87659, 527, 279, 8792, 3838, 315, 24863, 369, 264, 8857, 315, 20071, 2212, 279, 1917, 11, 1690, 315, 15256, 596, 10977, 617, 8040, 872, 1866, 35947, 10597, 12908, 13, 4314, 58535, 12908, 8854, 279, 2204, 27833, 11, 3980, 67245, 323, 58689, 315, 15256, 430, 3136, 311, 31518, 279, 10451, 14135, 627, 644, 420, 2363, 11, 432, 450, 16965, 386, 675, 5676, 35006, 17226, 10977, 323, 872, 6732, 315, 24863, 11, 505, 279, 51112, 323, 9222, 352, 7907, 7911, 311, 279, 24040, 3444, 80, 1494, 323, 20673, 266, 31764, 3444, 13, 65514, 527, 11784, 311, 264, 8205, 315, 10451, 12908, 11, 27946, 323, 37067, 1389, 872, 12742, 14726, 323, 279, 57679, 3856, 4147, 2949, 1124, 11, 439, 1664, 439, 279, 10096, 814, 8854, 439, 4029, 36282, 323, 24915, 315, 9764, 13, 31886, 279, 100031, 21667, 43563, 14847, 311, 42028, 4029, 3966, 323, 2254, 22484, 11, 505, 5476, 62421, 323, 5734, 311, 10471, 323, 6890, 13, 1115, 44087, 1113, 10795, 49193, 279, 5199, 39598, 2191, 430, 3752, 5014, 279, 5496, 10451, 14135, 3432, 627, 4518, 459, 8819, 315, 31886, 279, 100031, 198, 2620, 315, 36962, 198, 38255, 15957, 220, 16, 25, 12847, 14295, 323, 872, 24979, 1439, 12847, 14295, 323, 872, 11847, 18098, 276, 323, 70110, 12847, 14295, 8620, 12847, 14295, 549, 1108, 324, 12847, 14295, 473, 2005, 12847, 14295, 578, 69440, 12847, 14295, 315, 64994, 578, 70591, 315, 279, 20459, 73976, 100031, 20289, 15957, 220, 17, 25, 100031, 64813, 578, 8375, 266, 578, 49179, 315, 56110, 323, 41804, 63650, 73177, 811, 40371, 323, 41804, 63650, 358, 339, 3458, 6, 1003, 2850, 100031, 64813, 56110, 6168, 6082, 311, 279, 37728, 323, 813, 12517, 25, 356, 12267, 818, 12847, 14295, 15957, 220, 18, 25, 41804, 63650, 33038, 315, 21286, 2676, 10471, 596, 28997, 352, 7907, 4912, 300, 323, 350, 14966, 82553, 6890, 596, 14937, 324, 74, 10118, 300, 323, 90912, 2308, 300, 578, 90912, 2308, 300, 315, 29872, 3409, 578, 14937, 324, 74, 10118, 300, 315, 69547, 578, 2209, 3796, 285, 323, 279, 20614, 266, 31764, 3444, 15957, 220, 19, 25, 328, 1739, 72, 33038, 315, 6168, 6082, 328, 1739, 72, 350, 2850, 80, 300, 1183, 4628, 328, 1739, 72, 69156, 315, 87222, 578, 20774, 3444, 80, 1494, 578, 1901, 41978, 7911, 578, 56534, 441, 323, 350, 14966, 7911, 5476, 62421, 596, 350, 3251, 5676, 7365, 10471, 596, 22652, 2846, 266, 41897, 72, 7365, 17442, 596, 118266, 3532, 72, 7365, 15957, 220, 20, 25, 4149, 66, 2518, 38276, 5548, 578, 1901, 1609, 6091, 315, 17076, 578, 1901, 1609, 81, 16222, 84203, 578, 423, 2739, 32893, 74977, 25, 578, 7572, 323, 3700, 8839, 315, 1856, 4269, 2191, 67142, 661, 18559, 15903, 18242, 1796, 315, 39154, 811, 52082, 51122, 84127, 7181, 389, 279, 2991, 8167, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 34, 12328, 1291, 753, 387, 7897, 51119, 7388, 20851, 43163, 6798, 198, 2232, 6491, 11, 220, 18, 6841, 220, 679, 19, 1389, 67720, 38502, 9606, 11, 2737, 279, 56996, 24941, 11, 3816, 64726, 291, 44392, 6853, 11, 356, 12328, 1291, 753, 387, 7897, 51119, 11, 37994, 2025, 44892, 323, 77036, 386, 8424, 13558, 527, 1694, 11223, 369, 9313, 520, 459, 6625, 6574, 315, 1917, 17047, 323, 11909, 420, 2046, 304, 1229, 26653, 11, 55091, 627, 7358, 1601, 291, 555, 279, 3723, 19687, 11847, 47516, 320, 1899, 9377, 705, 279, 26958, 389, 279, 45435, 315, 386, 5346, 5382, 51567, 315, 13944, 47966, 320, 19171, 3967, 439, 37341, 477, 279, 1054, 33, 27476, 26958, 863, 1306, 279, 6063, 3363, 304, 902, 433, 574, 8667, 8, 374, 48862, 1202, 220, 806, 339, 15217, 315, 279, 61005, 320, 34, 3143, 8, 304, 1229, 26653, 11, 55091, 505, 220, 19, 1389, 220, 24, 6841, 627, 791, 68672, 374, 12967, 3871, 220, 1490, 5426, 17047, 439, 1664, 439, 6522, 11909, 323, 2536, 46704, 278, 11351, 505, 2212, 279, 1917, 311, 2980, 3445, 315, 48513, 29711, 11193, 369, 9971, 5382, 9606, 304, 3177, 315, 77157, 18208, 311, 872, 20237, 11, 2737, 505, 39646, 4814, 11, 927, 69331, 7709, 11, 30405, 9977, 11, 29691, 35098, 323, 10182, 2349, 627, 32, 3335, 1396, 315, 220, 1691, 25243, 29243, 311, 61535, 11, 45220, 323, 5602, 18668, 1389, 5602, 18668, 1694, 4315, 279, 1455, 21699, 9606, 389, 279, 11841, 13, 56996, 37068, 11, 902, 527, 16280, 13490, 279, 5015, 24923, 872, 7693, 11, 4245, 311, 2160, 73910, 9581, 10054, 11, 527, 1101, 11223, 369, 15182, 1234, 279, 26958, 627, 791, 25382, 315, 279, 11904, 33199, 902, 16654, 58054, 315, 220, 966, 824, 2960, 304, 279, 1566, 1403, 11026, 690, 387, 6646, 11, 439, 690, 682, 22673, 315, 279, 8681, 71433, 569, 11, 279, 568, 99462, 16706, 12224, 304, 279, 1917, 13, 22395, 29691, 56669, 11, 279, 356, 12328, 1291, 753, 387, 7897, 51119, 374, 1694, 11223, 1606, 433, 374, 15246, 311, 5361, 893, 27975, 18208, 627, 1899, 9636, 6354, 51956, 661, 59082, 323, 18362, 10783, 315, 549, 4031, 47, 11, 4491, 13, 46665, 318, 3441, 10670, 11, 1071, 11, 330, 791, 31069, 13340, 315, 279, 1917, 753, 17089, 520, 420, 37341, 15217, 27053, 279, 7982, 17985, 430, 279, 12014, 369, 22973, 30405, 374, 264, 6222, 832, 11, 323, 430, 279, 18208, 311, 30405, 649, 387, 82457, 1455, 13750, 1555, 3728, 23915, 627, 10227, 37341, 7437, 3728, 10396, 311, 6106, 10099, 649, 3351, 26662, 4028, 6625, 23546, 323, 64664, 5718, 323, 17959, 311, 8108, 18208, 311, 6625, 30405, 1778, 439, 555, 1824, 759, 11, 12079, 23330, 11, 93669, 11, 52236, 323, 12602, 11, 323, 433, 6089, 36236, 1063, 315, 279, 9024, 267, 323, 27373, 9606, 389, 279, 3663, 315, 279, 11841, 10246, 1, 34746, 4701, 58875, 1778, 439, 279, 37341, 990, 389, 17981, 315, 10495, 323, 17089, 4028, 279, 1917, 889, 6562, 311, 78548, 323, 6144, 1057, 5933, 28948, 13, 2435, 527, 459, 7645, 315, 1057, 6222, 15507, 311, 5089, 287, 17089, 304, 33436, 315, 264, 4279, 5915, 1389, 264, 3728, 4676, 304, 902, 279, 33436, 315, 3823, 4500, 1587, 539, 2586, 520, 279, 20900, 315, 1057, 5933, 1917, 1359, 568, 3779, 627, 791, 11191, 18174, 315, 1521, 323, 1023, 9606, 706, 29746, 1690, 1917, 17047, 311, 10347, 68, 304, 1229, 26653, 311, 10134, 279, 22520, 18174, 315, 9971, 5382, 30405, 4028, 279, 24867, 13, 54837, 527, 57515, 311, 2997, 264, 2860, 315, 220, 843, 9606, 389, 279, 30907, 1238, 315, 279, 26958, 13, 65814, 358, 1053, 13500, 1124, 2539, 9313, 11, 1418, 65814, 8105, 15182, 37167, 5961, 311, 2274, 323, 4305, 1380, 66280, 29711, 11193, 627, 2118, 55381, 12172, 7612, 10099, 311, 3351, 4028, 323, 7953, 24743, 13, 578, 18208, 814, 3663, 3235, 279, 1648, 527, 12387, 323, 649, 1193, 387, 82457, 1555, 6625, 23915, 13, 578, 37341, 68672, 304, 1229, 26653, 374, 264, 18526, 6140, 369, 5961, 311, 7655, 389, 7504, 311, 1935, 311, 2686, 1521, 18208, 13, 578, 892, 369, 1957, 374, 1457, 422, 584, 1390, 311, 6106, 279, 1317, 9860, 20237, 315, 279, 1917, 753, 9971, 5382, 9606, 315, 8545, 10099, 2476, 1071, 17478, 34191, 65276, 11, 18362, 12667, 315, 37341, 627, 95880, 4814, 315, 9200, 71699, 520, 9284, 6732, 323, 3235, 9971, 5382, 11543, 374, 279, 3254, 1455, 3062, 5353, 315, 9971, 5382, 9606, 529, 18174, 13, 4452, 11, 420, 374, 3117, 505, 1694, 279, 1193, 3575, 9971, 5382, 9606, 617, 311, 3663, 11, 323, 264, 1396, 315, 1023, 893, 27975, 18208, 527, 3339, 872, 64876, 15098, 60392, 788, 627, 12331, 483, 35098, 374, 264, 6129, 3575, 369, 1690, 72491, 9971, 5382, 9606, 11, 2737, 29691, 56669, 11, 72503, 11, 66591, 2668, 82, 323, 61535, 13, 3277, 35098, 374, 6892, 10185, 555, 10099, 1606, 433, 374, 37104, 369, 37693, 11, 433, 649, 2565, 279, 60071, 3839, 323, 3063, 311, 8811, 83664, 11, 78245, 323, 4648, 13, 37108, 574, 1766, 304, 279, 23152, 82, 315, 220, 3534, 824, 2960, 315, 445, 954, 276, 1708, 14034, 2177, 69089, 13, 23820, 35098, 1778, 439, 23838, 20543, 14787, 323, 40774, 2269, 321, 2908, 1584, 374, 3967, 311, 5353, 1218, 526, 1001, 315, 3892, 9606, 13, 362, 8502, 315, 44120, 13483, 304, 8494, 430, 1051, 12715, 439, 1694, 1218, 40040, 304, 53557, 477, 65046, 8636, 439, 264, 1121, 627, 4808, 82920, 29691, 35098, 505, 16661, 279, 29691, 4676, 304, 279, 1176, 2035, 11, 13241, 12571, 6373, 323, 17985, 59401, 3876, 21343, 311, 1862, 23331, 11193, 690, 387, 14407, 311, 2686, 420, 3728, 3575, 627, 34004, 12092, 315, 8545, 10099, 323, 12079, 30405, 6696, 617, 3719, 3682, 18208, 311, 279, 20237, 315, 1690, 9971, 5382, 9606, 15603, 13, 42649, 9977, 374, 13240, 311, 387, 5922, 1990, 2326, 3, 508, 7239, 323, 220, 1135, 7239, 30171, 15603, 13, 15388, 13419, 11, 93669, 323, 52236, 315, 9971, 5382, 20229, 9711, 279, 20237, 315, 4553, 22673, 520, 5326, 627, 791, 68672, 374, 3685, 311, 20259, 279, 3560, 315, 37341, 304, 29820, 311, 279, 3728, 4465, 2403, 30405, 9977, 11, 35146, 1555, 279, 21967, 315, 48566, 52303, 323, 2814, 44039, 28904, 369, 279, 6373, 315, 6222, 30405, 22673, 323, 71699, 11, 304, 2015, 311, 30437, 12079, 4737, 323, 34563, 315, 9971, 5382, 10099, 627, 98938, 7224, 3629, 15184, 440, 14488, 315, 61951, 389, 902, 9971, 5382, 10099, 6904, 13, 1789, 3187, 11, 19795, 323, 96247, 6522, 311, 11935, 6732, 439, 1664, 439, 3973, 70255, 649, 1376, 737, 2821, 17820, 481, 30740, 27252, 16595, 17500, 13, 88810, 780, 13944, 2755, 11, 16233, 16960, 6898, 82665, 323, 44539, 89108, 44392, 6853, 527, 4315, 279, 9606, 1455, 11754, 555, 1521, 30740, 627, 32, 502, 10913, 14875, 386, 8836, 1147, 38756, 690, 5357, 389, 11193, 369, 279, 29711, 315, 3544, 36041, 278, 17500, 304, 279, 10913, 14875, 5654, 13, 48528, 369, 30405, 22658, 14054, 4500, 690, 387, 10666, 369, 25375, 520, 68672, 627, 93702, 374, 92685, 389, 279, 5536, 315, 10182, 2349, 389, 9971, 5382, 9606, 13, 3161, 46039, 11, 14739, 466, 86082, 1063, 9971, 5382, 9606, 527, 9770, 311, 45666, 311, 40308, 21319, 6931, 11, 3885, 527, 25051, 7187, 58054, 439, 872, 40308, 323, 12688, 287, 71699, 912, 5129, 7937, 872, 3966, 13, 763, 264, 10795, 315, 7665, 12224, 22673, 11, 420, 9327, 706, 1027, 6982, 9539, 26, 1884, 9606, 430, 656, 539, 2349, 279, 18912, 315, 872, 12172, 527, 25051, 3544, 13230, 7187, 58054, 13, 7089, 9606, 1778, 439, 279, 56996, 24941, 11, 23820, 350, 52214, 323, 3206, 1132, 78820, 527, 1101, 21699, 555, 10182, 2349, 627, 1688, 279, 68672, 11, 5961, 527, 3685, 311, 7655, 389, 264, 18629, 315, 990, 389, 10182, 2349, 323, 9971, 5382, 9606, 11, 8405, 369, 279, 4500, 323, 8292, 315, 11193, 311, 28696, 9606, 34185, 304, 2077, 311, 10182, 2349, 627, 85102, 10742, 922, 10182, 2349, 617, 6197, 311, 7859, 9045, 4028, 279, 24867, 311, 3480, 927, 311, 33268, 4907, 8336, 13, 4452, 11, 279, 24047, 315, 14645, 311, 33294, 1521, 8336, 649, 14243, 7958, 9971, 5382, 10099, 422, 539, 10489, 6319, 323, 13205, 627, 791, 68672, 690, 2980, 264, 16195, 3477, 315, 279, 22639, 1990, 93438, 12634, 12053, 67392, 323, 386, 5346, 5382, 51567, 439, 1664, 439, 17959, 311, 30437, 279, 25949, 315, 1778, 14645, 389, 9971, 5382, 10099, 627, 48614, 5703, 35695, 369, 7793, 8115, 84008, 11, 16867, 9704, 2025, 350, 52214, 323, 279, 52356, 328, 4506, 43961, 617, 1027, 25985, 660, 323, 690, 387, 14976, 311, 279, 68672, 369, 25375, 13, 578, 12939, 315, 42067, 580, 276, 7829, 690, 387, 6646, 369, 279, 29711, 315, 1521, 29691, 56669, 13, 362, 4726, 11175, 7540, 5961, 311, 9120, 3974, 41255, 315, 42067, 580, 598, 369, 8518, 3113, 304, 29691, 27943, 627, 32, 5234, 9580, 9675, 532, 19482, 389, 220, 18, 6841, 389, 1252, 5977, 279, 10734, 315, 22037, 323, 279, 7997, 38661, 304, 279, 9805, 315, 61593, 11050, 323, 70274, 9939, 329, 20901, 690, 16599, 68, 279, 68672, 627, 791, 68672, 6041, 389, 220, 19, 6841, 690, 1180, 439, 459, 3242, 64476, 369, 279, 9045, 315, 279, 6625, 4029, 311, 3665, 10065, 17500, 1603, 433, 374, 2288, 3389, 627, 791, 26958, 389, 279, 45435, 315, 386, 5346, 5382, 51567, 315, 13944, 47966, 320, 54357, 8, 22262, 311, 78548, 80492, 11, 72491, 323, 1860, 1122, 9971, 5382, 9606, 6957, 872, 2134, 13, 1102, 374, 459, 958, 87863, 278, 38997, 11, 20536, 1234, 279, 264, 91067, 315, 279, 3723, 19687, 11847, 47516, 11, 11920, 449, 279, 29711, 315, 30405, 323, 71699, 389, 264, 3728, 5569, 13, 2057, 2457, 220, 4364, 61005, 617, 97665, 279, 26958, 627, 3968, 22865, 6706, 321, 11, 43424, 315, 279, 7874, 8245, 9744, 11, 31966, 323, 97550, 8068, 315, 279, 549, 4031, 47, 11547, 4931, 323, 549, 4031, 47, 10576, 36, 27486, 8769, 2850, 1900, 11, 19227, 25, 489, 2491, 320, 15, 8, 14261, 220, 23582, 220, 13078, 16, 11, 62183, 22608, 8, 320, 15, 8, 24, 220, 24347, 220, 21910, 2318, 320, 82977, 279, 10017, 705, 384, 11724, 25, 49293, 73737, 36587, 2726, 198, 10351, 263, 11755, 25234, 277, 89, 11, 3142, 8245, 11, 549, 4031, 47, 11547, 4931, 8769, 41979, 11, 19227, 25, 489, 2491, 320, 15, 8, 14261, 220, 23582, 220, 8273, 24, 2652, 62183, 22608, 8, 320, 15, 8, 24, 220, 24606, 16, 220, 5833, 220, 2983, 320, 82977, 279, 10017, 53021, 11724, 25, 2613, 36587, 916, 198, 5966, 6177, 389, 220, 2371, 6841, 220, 679, 19, 128001, 128000, 1110, 29667, 323, 18588, 13792, 220, 17, 3552, 25953, 16835, 690, 3118, 1828, 1060, 596, 5567, 23488, 11, 902, 690, 387, 13195, 3974, 389, 6007, 369, 279, 1176, 892, 2533, 220, 3753, 24, 627, 791, 22260, 690, 387, 5762, 520, 6952, 4835, 7301, 304, 7295, 389, 220, 975, 7552, 627, 46, 10949, 690, 5371, 459, 10292, 369, 872, 19310, 19035, 311, 4731, 11, 323, 279, 8013, 3254, 315, 279, 1060, 690, 387, 6773, 389, 279, 3814, 555, 22511, 6, 12973, 627, 791, 1566, 892, 279, 23146, 4024, 704, 3974, 6656, 1139, 264, 51287, 559, 3042, 7918, 3814, 449, 63908, 13585, 323, 60333, 44555, 6798, 627, 791, 18629, 574, 13882, 6646, 264, 21426, 11, 323, 279, 5597, 574, 4529, 311, 3335, 17876, 60283, 323, 4264, 1124, 389, 6007, 264, 1938, 3010, 627, 32, 2860, 315, 220, 1032, 23146, 690, 387, 23415, 704, 520, 279, 1567, 389, 800, 39869, 596, 6187, 627, 9673, 690, 2997, 279, 1888, 8762, 323, 8954, 14385, 505, 279, 6560, 323, 37545, 11, 323, 279, 1888, 330, 9137, 20322, 1, 482, 477, 24084, 482, 11005, 315, 279, 3347, 1060, 627, 791, 60698, 690, 387, 7376, 389, 220, 845, 6186, 627, 5966, 1060, 596, 22260, 574, 21685, 555, 2500, 18588, 13792, 220, 17, 22102, 11, 11517, 30563, 627, 2181, 5602, 7957, 2563, 3935, 7086, 439, 1888, 2477, 1180, 11, 279, 37518, 3206, 10786, 11230, 279, 42445, 22643, 323, 24062, 1387, 596, 15535, 315, 14936, 4737, 279, 3254, 315, 279, 1060, 10292, 13, 128001 ]
[ -100, 34, 12328, 1291, 753, 387, 7897, 51119, 7388, 20851, 43163, 6798, 198, 2232, 6491, 11, 220, 18, 6841, 220, 679, 19, 1389, 67720, 38502, 9606, 11, 2737, 279, 56996, 24941, 11, 3816, 64726, 291, 44392, 6853, 11, 356, 12328, 1291, 753, 387, 7897, 51119, 11, 37994, 2025, 44892, 323, 77036, 386, 8424, 13558, 527, 1694, 11223, 369, 9313, 520, 459, 6625, 6574, 315, 1917, 17047, 323, 11909, 420, 2046, 304, 1229, 26653, 11, 55091, 627, 7358, 1601, 291, 555, 279, 3723, 19687, 11847, 47516, 320, 1899, 9377, 705, 279, 26958, 389, 279, 45435, 315, 386, 5346, 5382, 51567, 315, 13944, 47966, 320, 19171, 3967, 439, 37341, 477, 279, 1054, 33, 27476, 26958, 863, 1306, 279, 6063, 3363, 304, 902, 433, 574, 8667, 8, 374, 48862, 1202, 220, 806, 339, 15217, 315, 279, 61005, 320, 34, 3143, 8, 304, 1229, 26653, 11, 55091, 505, 220, 19, 1389, 220, 24, 6841, 627, 791, 68672, 374, 12967, 3871, 220, 1490, 5426, 17047, 439, 1664, 439, 6522, 11909, 323, 2536, 46704, 278, 11351, 505, 2212, 279, 1917, 311, 2980, 3445, 315, 48513, 29711, 11193, 369, 9971, 5382, 9606, 304, 3177, 315, 77157, 18208, 311, 872, 20237, 11, 2737, 505, 39646, 4814, 11, 927, 69331, 7709, 11, 30405, 9977, 11, 29691, 35098, 323, 10182, 2349, 627, 32, 3335, 1396, 315, 220, 1691, 25243, 29243, 311, 61535, 11, 45220, 323, 5602, 18668, 1389, 5602, 18668, 1694, 4315, 279, 1455, 21699, 9606, 389, 279, 11841, 13, 56996, 37068, 11, 902, 527, 16280, 13490, 279, 5015, 24923, 872, 7693, 11, 4245, 311, 2160, 73910, 9581, 10054, 11, 527, 1101, 11223, 369, 15182, 1234, 279, 26958, 627, 791, 25382, 315, 279, 11904, 33199, 902, 16654, 58054, 315, 220, 966, 824, 2960, 304, 279, 1566, 1403, 11026, 690, 387, 6646, 11, 439, 690, 682, 22673, 315, 279, 8681, 71433, 569, 11, 279, 568, 99462, 16706, 12224, 304, 279, 1917, 13, 22395, 29691, 56669, 11, 279, 356, 12328, 1291, 753, 387, 7897, 51119, 374, 1694, 11223, 1606, 433, 374, 15246, 311, 5361, 893, 27975, 18208, 627, 1899, 9636, 6354, 51956, 661, 59082, 323, 18362, 10783, 315, 549, 4031, 47, 11, 4491, 13, 46665, 318, 3441, 10670, 11, 1071, 11, 330, 791, 31069, 13340, 315, 279, 1917, 753, 17089, 520, 420, 37341, 15217, 27053, 279, 7982, 17985, 430, 279, 12014, 369, 22973, 30405, 374, 264, 6222, 832, 11, 323, 430, 279, 18208, 311, 30405, 649, 387, 82457, 1455, 13750, 1555, 3728, 23915, 627, 10227, 37341, 7437, 3728, 10396, 311, 6106, 10099, 649, 3351, 26662, 4028, 6625, 23546, 323, 64664, 5718, 323, 17959, 311, 8108, 18208, 311, 6625, 30405, 1778, 439, 555, 1824, 759, 11, 12079, 23330, 11, 93669, 11, 52236, 323, 12602, 11, 323, 433, 6089, 36236, 1063, 315, 279, 9024, 267, 323, 27373, 9606, 389, 279, 3663, 315, 279, 11841, 10246, 1, 34746, 4701, 58875, 1778, 439, 279, 37341, 990, 389, 17981, 315, 10495, 323, 17089, 4028, 279, 1917, 889, 6562, 311, 78548, 323, 6144, 1057, 5933, 28948, 13, 2435, 527, 459, 7645, 315, 1057, 6222, 15507, 311, 5089, 287, 17089, 304, 33436, 315, 264, 4279, 5915, 1389, 264, 3728, 4676, 304, 902, 279, 33436, 315, 3823, 4500, 1587, 539, 2586, 520, 279, 20900, 315, 1057, 5933, 1917, 1359, 568, 3779, 627, 791, 11191, 18174, 315, 1521, 323, 1023, 9606, 706, 29746, 1690, 1917, 17047, 311, 10347, 68, 304, 1229, 26653, 311, 10134, 279, 22520, 18174, 315, 9971, 5382, 30405, 4028, 279, 24867, 13, 54837, 527, 57515, 311, 2997, 264, 2860, 315, 220, 843, 9606, 389, 279, 30907, 1238, 315, 279, 26958, 13, 65814, 358, 1053, 13500, 1124, 2539, 9313, 11, 1418, 65814, 8105, 15182, 37167, 5961, 311, 2274, 323, 4305, 1380, 66280, 29711, 11193, 627, 2118, 55381, 12172, 7612, 10099, 311, 3351, 4028, 323, 7953, 24743, 13, 578, 18208, 814, 3663, 3235, 279, 1648, 527, 12387, 323, 649, 1193, 387, 82457, 1555, 6625, 23915, 13, 578, 37341, 68672, 304, 1229, 26653, 374, 264, 18526, 6140, 369, 5961, 311, 7655, 389, 7504, 311, 1935, 311, 2686, 1521, 18208, 13, 578, 892, 369, 1957, 374, 1457, 422, 584, 1390, 311, 6106, 279, 1317, 9860, 20237, 315, 279, 1917, 753, 9971, 5382, 9606, 315, 8545, 10099, 2476, 1071, 17478, 34191, 65276, 11, 18362, 12667, 315, 37341, 627, 95880, 4814, 315, 9200, 71699, 520, 9284, 6732, 323, 3235, 9971, 5382, 11543, 374, 279, 3254, 1455, 3062, 5353, 315, 9971, 5382, 9606, 529, 18174, 13, 4452, 11, 420, 374, 3117, 505, 1694, 279, 1193, 3575, 9971, 5382, 9606, 617, 311, 3663, 11, 323, 264, 1396, 315, 1023, 893, 27975, 18208, 527, 3339, 872, 64876, 15098, 60392, 788, 627, 12331, 483, 35098, 374, 264, 6129, 3575, 369, 1690, 72491, 9971, 5382, 9606, 11, 2737, 29691, 56669, 11, 72503, 11, 66591, 2668, 82, 323, 61535, 13, 3277, 35098, 374, 6892, 10185, 555, 10099, 1606, 433, 374, 37104, 369, 37693, 11, 433, 649, 2565, 279, 60071, 3839, 323, 3063, 311, 8811, 83664, 11, 78245, 323, 4648, 13, 37108, 574, 1766, 304, 279, 23152, 82, 315, 220, 3534, 824, 2960, 315, 445, 954, 276, 1708, 14034, 2177, 69089, 13, 23820, 35098, 1778, 439, 23838, 20543, 14787, 323, 40774, 2269, 321, 2908, 1584, 374, 3967, 311, 5353, 1218, 526, 1001, 315, 3892, 9606, 13, 362, 8502, 315, 44120, 13483, 304, 8494, 430, 1051, 12715, 439, 1694, 1218, 40040, 304, 53557, 477, 65046, 8636, 439, 264, 1121, 627, 4808, 82920, 29691, 35098, 505, 16661, 279, 29691, 4676, 304, 279, 1176, 2035, 11, 13241, 12571, 6373, 323, 17985, 59401, 3876, 21343, 311, 1862, 23331, 11193, 690, 387, 14407, 311, 2686, 420, 3728, 3575, 627, 34004, 12092, 315, 8545, 10099, 323, 12079, 30405, 6696, 617, 3719, 3682, 18208, 311, 279, 20237, 315, 1690, 9971, 5382, 9606, 15603, 13, 42649, 9977, 374, 13240, 311, 387, 5922, 1990, 2326, 3, 508, 7239, 323, 220, 1135, 7239, 30171, 15603, 13, 15388, 13419, 11, 93669, 323, 52236, 315, 9971, 5382, 20229, 9711, 279, 20237, 315, 4553, 22673, 520, 5326, 627, 791, 68672, 374, 3685, 311, 20259, 279, 3560, 315, 37341, 304, 29820, 311, 279, 3728, 4465, 2403, 30405, 9977, 11, 35146, 1555, 279, 21967, 315, 48566, 52303, 323, 2814, 44039, 28904, 369, 279, 6373, 315, 6222, 30405, 22673, 323, 71699, 11, 304, 2015, 311, 30437, 12079, 4737, 323, 34563, 315, 9971, 5382, 10099, 627, 98938, 7224, 3629, 15184, 440, 14488, 315, 61951, 389, 902, 9971, 5382, 10099, 6904, 13, 1789, 3187, 11, 19795, 323, 96247, 6522, 311, 11935, 6732, 439, 1664, 439, 3973, 70255, 649, 1376, 737, 2821, 17820, 481, 30740, 27252, 16595, 17500, 13, 88810, 780, 13944, 2755, 11, 16233, 16960, 6898, 82665, 323, 44539, 89108, 44392, 6853, 527, 4315, 279, 9606, 1455, 11754, 555, 1521, 30740, 627, 32, 502, 10913, 14875, 386, 8836, 1147, 38756, 690, 5357, 389, 11193, 369, 279, 29711, 315, 3544, 36041, 278, 17500, 304, 279, 10913, 14875, 5654, 13, 48528, 369, 30405, 22658, 14054, 4500, 690, 387, 10666, 369, 25375, 520, 68672, 627, 93702, 374, 92685, 389, 279, 5536, 315, 10182, 2349, 389, 9971, 5382, 9606, 13, 3161, 46039, 11, 14739, 466, 86082, 1063, 9971, 5382, 9606, 527, 9770, 311, 45666, 311, 40308, 21319, 6931, 11, 3885, 527, 25051, 7187, 58054, 439, 872, 40308, 323, 12688, 287, 71699, 912, 5129, 7937, 872, 3966, 13, 763, 264, 10795, 315, 7665, 12224, 22673, 11, 420, 9327, 706, 1027, 6982, 9539, 26, 1884, 9606, 430, 656, 539, 2349, 279, 18912, 315, 872, 12172, 527, 25051, 3544, 13230, 7187, 58054, 13, 7089, 9606, 1778, 439, 279, 56996, 24941, 11, 23820, 350, 52214, 323, 3206, 1132, 78820, 527, 1101, 21699, 555, 10182, 2349, 627, 1688, 279, 68672, 11, 5961, 527, 3685, 311, 7655, 389, 264, 18629, 315, 990, 389, 10182, 2349, 323, 9971, 5382, 9606, 11, 8405, 369, 279, 4500, 323, 8292, 315, 11193, 311, 28696, 9606, 34185, 304, 2077, 311, 10182, 2349, 627, 85102, 10742, 922, 10182, 2349, 617, 6197, 311, 7859, 9045, 4028, 279, 24867, 311, 3480, 927, 311, 33268, 4907, 8336, 13, 4452, 11, 279, 24047, 315, 14645, 311, 33294, 1521, 8336, 649, 14243, 7958, 9971, 5382, 10099, 422, 539, 10489, 6319, 323, 13205, 627, 791, 68672, 690, 2980, 264, 16195, 3477, 315, 279, 22639, 1990, 93438, 12634, 12053, 67392, 323, 386, 5346, 5382, 51567, 439, 1664, 439, 17959, 311, 30437, 279, 25949, 315, 1778, 14645, 389, 9971, 5382, 10099, 627, 48614, 5703, 35695, 369, 7793, 8115, 84008, 11, 16867, 9704, 2025, 350, 52214, 323, 279, 52356, 328, 4506, 43961, 617, 1027, 25985, 660, 323, 690, 387, 14976, 311, 279, 68672, 369, 25375, 13, 578, 12939, 315, 42067, 580, 276, 7829, 690, 387, 6646, 369, 279, 29711, 315, 1521, 29691, 56669, 13, 362, 4726, 11175, 7540, 5961, 311, 9120, 3974, 41255, 315, 42067, 580, 598, 369, 8518, 3113, 304, 29691, 27943, 627, 32, 5234, 9580, 9675, 532, 19482, 389, 220, 18, 6841, 389, 1252, 5977, 279, 10734, 315, 22037, 323, 279, 7997, 38661, 304, 279, 9805, 315, 61593, 11050, 323, 70274, 9939, 329, 20901, 690, 16599, 68, 279, 68672, 627, 791, 68672, 6041, 389, 220, 19, 6841, 690, 1180, 439, 459, 3242, 64476, 369, 279, 9045, 315, 279, 6625, 4029, 311, 3665, 10065, 17500, 1603, 433, 374, 2288, 3389, 627, 791, 26958, 389, 279, 45435, 315, 386, 5346, 5382, 51567, 315, 13944, 47966, 320, 54357, 8, 22262, 311, 78548, 80492, 11, 72491, 323, 1860, 1122, 9971, 5382, 9606, 6957, 872, 2134, 13, 1102, 374, 459, 958, 87863, 278, 38997, 11, 20536, 1234, 279, 264, 91067, 315, 279, 3723, 19687, 11847, 47516, 11, 11920, 449, 279, 29711, 315, 30405, 323, 71699, 389, 264, 3728, 5569, 13, 2057, 2457, 220, 4364, 61005, 617, 97665, 279, 26958, 627, 3968, 22865, 6706, 321, 11, 43424, 315, 279, 7874, 8245, 9744, 11, 31966, 323, 97550, 8068, 315, 279, 549, 4031, 47, 11547, 4931, 323, 549, 4031, 47, 10576, 36, 27486, 8769, 2850, 1900, 11, 19227, 25, 489, 2491, 320, 15, 8, 14261, 220, 23582, 220, 13078, 16, 11, 62183, 22608, 8, 320, 15, 8, 24, 220, 24347, 220, 21910, 2318, 320, 82977, 279, 10017, 705, 384, 11724, 25, 49293, 73737, 36587, 2726, 198, 10351, 263, 11755, 25234, 277, 89, 11, 3142, 8245, 11, 549, 4031, 47, 11547, 4931, 8769, 41979, 11, 19227, 25, 489, 2491, 320, 15, 8, 14261, 220, 23582, 220, 8273, 24, 2652, 62183, 22608, 8, 320, 15, 8, 24, 220, 24606, 16, 220, 5833, 220, 2983, 320, 82977, 279, 10017, 53021, 11724, 25, 2613, 36587, 916, 198, 5966, 6177, 389, 220, 2371, 6841, 220, 679, 19, 128001, -100, 1110, 29667, 323, 18588, 13792, 220, 17, 3552, 25953, 16835, 690, 3118, 1828, 1060, 596, 5567, 23488, 11, 902, 690, 387, 13195, 3974, 389, 6007, 369, 279, 1176, 892, 2533, 220, 3753, 24, 627, 791, 22260, 690, 387, 5762, 520, 6952, 4835, 7301, 304, 7295, 389, 220, 975, 7552, 627, 46, 10949, 690, 5371, 459, 10292, 369, 872, 19310, 19035, 311, 4731, 11, 323, 279, 8013, 3254, 315, 279, 1060, 690, 387, 6773, 389, 279, 3814, 555, 22511, 6, 12973, 627, 791, 1566, 892, 279, 23146, 4024, 704, 3974, 6656, 1139, 264, 51287, 559, 3042, 7918, 3814, 449, 63908, 13585, 323, 60333, 44555, 6798, 627, 791, 18629, 574, 13882, 6646, 264, 21426, 11, 323, 279, 5597, 574, 4529, 311, 3335, 17876, 60283, 323, 4264, 1124, 389, 6007, 264, 1938, 3010, 627, 32, 2860, 315, 220, 1032, 23146, 690, 387, 23415, 704, 520, 279, 1567, 389, 800, 39869, 596, 6187, 627, 9673, 690, 2997, 279, 1888, 8762, 323, 8954, 14385, 505, 279, 6560, 323, 37545, 11, 323, 279, 1888, 330, 9137, 20322, 1, 482, 477, 24084, 482, 11005, 315, 279, 3347, 1060, 627, 791, 60698, 690, 387, 7376, 389, 220, 845, 6186, 627, 5966, 1060, 596, 22260, 574, 21685, 555, 2500, 18588, 13792, 220, 17, 22102, 11, 11517, 30563, 627, 2181, 5602, 7957, 2563, 3935, 7086, 439, 1888, 2477, 1180, 11, 279, 37518, 3206, 10786, 11230, 279, 42445, 22643, 323, 24062, 1387, 596, 15535, 315, 14936, 4737, 279, 3254, 315, 279, 1060, 10292, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244 ]
[ 128000, 5608, 6938, 6296, 13, 8189, 23263, 2001, 3639, 596, 279, 56180, 5380, 2127, 8189, 6938, 374, 264, 5410, 5044, 3786, 3645, 13, 8189, 23263, 320, 50913, 14434, 5234, 41210, 8, 374, 264, 3230, 955, 315, 8189, 6938, 449, 5190, 5942, 8824, 11, 3629, 24950, 505, 220, 19, 5494, 311, 220, 843, 5494, 627, 63807, 28232, 8189, 6938, 323, 8189, 23263, 198, 2620, 315, 36962, 198, 5608, 6938, 11, 2875, 369, 35602, 14434, 6938, 11, 374, 264, 13882, 1511, 8381, 5044, 3786, 3645, 13, 1102, 4131, 304, 5370, 5942, 59539, 11, 24950, 505, 264, 2478, 19262, 72229, 311, 3892, 23401, 72229, 13, 8189, 27864, 527, 17037, 1511, 304, 7528, 18632, 11, 36122, 11, 323, 1023, 23665, 7766, 13, 2435, 3493, 264, 15062, 323, 17251, 3445, 315, 24050, 5942, 477, 51051, 828, 1990, 7766, 13, 578, 5410, 8189, 6938, 706, 264, 8824, 4017, 11, 3629, 709, 311, 220, 17, 5494, 627, 5608, 23263, 11, 477, 35602, 14434, 5234, 41210, 11, 374, 459, 9070, 315, 279, 8189, 6938, 3645, 11784, 311, 23075, 279, 8824, 9669, 315, 279, 5410, 8189, 6938, 13, 8189, 23263, 7563, 3085, 5190, 5942, 59539, 11, 11383, 24950, 505, 220, 19, 5494, 311, 220, 843, 5494, 13, 1115, 7319, 8824, 6276, 369, 279, 5942, 315, 8294, 3626, 11, 2737, 1579, 90150, 6946, 323, 1579, 64036, 7397, 13, 6104, 8189, 23263, 7563, 4430, 279, 1890, 7106, 1404, 323, 6211, 439, 5410, 8189, 27864, 11, 814, 527, 539, 28655, 18641, 449, 7766, 6319, 24121, 369, 5410, 8189, 27864, 627, 2378, 311, 220, 17, 5494, 198, 19, 5494, 311, 220, 843, 5494, 198, 54, 307, 989, 18641, 449, 8189, 16087, 198, 2688, 28655, 18641, 449, 5410, 8189, 16087, 198, 18788, 261, 7766, 11, 4827, 8824, 3966, 198, 49552, 7766, 11, 8294, 1052, 5942, 198, 28474, 449, 47613, 198, 11076, 398, 24001, 449, 69053, 845, 1052, 1887, 627, 65539, 701, 8189, 6938, 374, 24001, 449, 279, 69053, 845, 1052, 1887, 369, 23669, 25780, 627, 44600, 449, 279, 69053, 843, 1052, 1887, 627, 65539, 701, 3756, 11815, 279, 69053, 843, 1052, 1887, 994, 1701, 459, 8189, 23263, 3786, 627, 99435, 323, 33045, 369, 828, 5942, 323, 8481, 627, 791, 8189, 6938, 596, 17251, 1404, 3727, 433, 264, 17125, 5873, 369, 389, 10826, 20521, 828, 5942, 627, 50913, 14434, 5234, 41210, 11, 10209, 8294, 5942, 1109, 5410, 8189, 27864, 627, 5608, 23263, 7563, 449, 220, 845, 5494, 8824, 527, 14791, 369, 28672, 1579, 90150, 6946, 627, 5913, 8824, 11383, 709, 311, 220, 17, 5494, 627, 2127, 8189, 6938, 449, 220, 16, 5494, 8824, 374, 14791, 369, 28672, 7397, 323, 9477, 627, 5913, 8824, 24950, 505, 220, 19, 5494, 311, 220, 843, 5494, 627, 32, 220, 843, 5494, 8189, 23263, 3786, 5825, 42853, 3634, 369, 28672, 3544, 3772, 3626, 627, 11076, 8381, 5044, 3786, 3645, 1511, 304, 5370, 7766, 627, 13622, 7528, 18632, 323, 36122, 1005, 459, 8189, 6938, 369, 5217, 5942, 627, 100192, 369, 6617, 7766, 23537, 5190, 5942, 59539, 627, 5608, 23263, 7563, 527, 17037, 1511, 304, 7528, 18632, 323, 6730, 66, 8076, 369, 872, 7319, 5942, 17357, 627, 30261, 449, 264, 7029, 2134, 315, 7766, 16850, 8189, 16087, 627, 14099, 279, 8189, 6938, 1139, 701, 21288, 596, 8189, 9633, 369, 4062, 323, 4228, 1052, 8481, 627, 2688, 28655, 18641, 449, 7766, 6319, 369, 5410, 8189, 27864, 627, 4061, 701, 3756, 596, 29803, 311, 6106, 25780, 1603, 1701, 459, 8189, 23263, 3786, 627, 3923, 1587, 8189, 23263, 2559, 369, 5380, 5608, 23263, 13656, 369, 35602, 14434, 5234, 41210, 11, 19392, 1202, 5190, 5942, 8824, 7863, 311, 5410, 8189, 27864, 627, 3923, 1052, 1887, 374, 17037, 1511, 389, 8189, 27864, 5380, 5608, 27864, 527, 17037, 24001, 449, 279, 69053, 845, 1052, 1887, 627, 6854, 358, 1005, 459, 8189, 6938, 304, 7766, 430, 1862, 8189, 23263, 5380, 9642, 11, 5410, 8189, 27864, 527, 8965, 18641, 449, 7766, 430, 1862, 8189, 23263, 11, 439, 814, 4430, 279, 1890, 7106, 1404, 323, 6211, 627, 3923, 527, 1063, 4279, 5829, 315, 5410, 8189, 27864, 5380, 20367, 8189, 27864, 527, 17037, 1511, 304, 7528, 18632, 11, 36122, 11, 323, 1023, 23665, 7766, 369, 5217, 5942, 627, 3923, 374, 279, 7340, 5942, 8824, 315, 264, 5410, 8189, 6938, 5380, 791, 7340, 5942, 8824, 315, 264, 5410, 8189, 6938, 374, 11383, 709, 311, 220, 17, 5494, 627, 3923, 374, 279, 6156, 9610, 315, 1701, 459, 8189, 23263, 3786, 927, 264, 5410, 8189, 6938, 5380, 791, 6156, 9610, 315, 8189, 23263, 7563, 374, 872, 5190, 5942, 8824, 11, 3339, 1124, 14791, 369, 28672, 8294, 3626, 1093, 1579, 90150, 6946, 323, 1579, 64036, 7397, 627, 6854, 358, 1005, 459, 8189, 6938, 449, 264, 8294, 8824, 1109, 856, 3756, 30202, 5380, 2181, 596, 11349, 311, 1005, 459, 8189, 6938, 2949, 279, 7340, 7396, 8824, 5300, 555, 701, 3756, 311, 6106, 6300, 15293, 627, 11787, 8189, 23263, 7563, 14791, 369, 7766, 449, 4827, 8824, 3966, 5380, 8142, 18641, 11, 1701, 459, 8189, 23263, 3786, 304, 7766, 449, 4827, 8824, 3966, 1253, 387, 26225, 11, 323, 264, 5410, 8189, 6938, 1436, 387, 810, 2853, 53421, 627, 6854, 459, 8189, 23263, 3786, 387, 1511, 304, 264, 5410, 8189, 9633, 5380, 2822, 11, 8189, 23263, 7563, 527, 539, 28655, 18641, 323, 1253, 539, 990, 304, 5410, 8189, 16087, 13, 4343, 701, 3756, 596, 29803, 369, 25780, 627, 3957, 459, 8189, 23263, 3786, 18641, 449, 9191, 7766, 12899, 5410, 8189, 27864, 5380, 2822, 11, 8189, 23263, 7563, 527, 539, 28655, 18641, 449, 7766, 6319, 24121, 369, 5410, 8189, 27864, 627, 3923, 1052, 1887, 374, 1511, 389, 8189, 23263, 7563, 5380, 5608, 23263, 7563, 527, 11383, 24001, 449, 279, 69053, 843, 1052, 1887, 627, 4438, 656, 358, 3645, 459, 8189, 6938, 369, 23669, 25780, 5380, 4152, 701, 8189, 6938, 449, 279, 69053, 845, 1052, 1887, 369, 23669, 25780, 449, 264, 7029, 2134, 315, 7766, 16850, 8189, 16087, 627, 3957, 279, 828, 8481, 4732, 279, 1890, 369, 682, 8189, 27864, 5380, 2822, 11, 828, 8481, 4732, 649, 13592, 4315, 2204, 8189, 27864, 13, 1102, 596, 7718, 311, 1817, 279, 3786, 596, 4732, 538, 369, 2038, 389, 1202, 5178, 627, 6854, 358, 1005, 459, 8189, 6938, 24001, 449, 279, 69053, 843, 1052, 1887, 5380, 8142, 2753, 4279, 11, 1063, 8189, 27864, 449, 5190, 59539, 1253, 387, 24001, 449, 279, 69053, 843, 1052, 1887, 13, 4343, 279, 3786, 596, 29803, 369, 3649, 627, 3923, 7766, 17037, 1005, 8189, 23263, 7563, 5380, 5608, 23263, 7563, 527, 17037, 1511, 304, 6617, 7528, 18632, 11, 6730, 66, 8076, 11, 323, 1023, 7766, 23537, 5190, 5942, 59539, 627, 12388, 4718, 39193, 198, 21994, 43551, 90999, 5545, 315, 279, 54932, 6296, 13, 5545, 315, 279, 54932, 198, 5971, 43551, 99299, 14166, 42116, 85, 62799, 6296, 13, 921, 569, 27476, 352, 198, 51, 352, 88, 12273, 1050, 71, 1543, 374, 264, 39575, 7061, 11, 5131, 13788, 439, 264, 6156, 26373, 311, 2610, 60351, 916, 13, 1666, 264, 32185, 304, 53794, 323, 1880, 99174, 11, 58628, 88, 12273, 596, 11939, 369, 279, 23965, 315, 15823, 323, 872, 87259, 706, 1766, 264, 4832, 2162, 389, 279, 5452, 13, 58628, 88, 12273, 1624, 2396, 1139, 279, 94603, 27121, 315, 4221, 11, 86055, 1990, 17037, 22568, 4339, 323, 32847, 11, 28592, 8405, 32373, 369, 13016, 15603, 627, 52, 299, 21963, 374, 264, 26611, 2262, 7061, 520, 21069, 56180, 11, 3967, 369, 1077, 25363, 5845, 311, 40821, 6485, 13650, 1139, 23387, 323, 39319, 2262, 13, 3161, 264, 11939, 369, 3495, 323, 264, 69665, 369, 2867, 11, 64694, 4477, 11, 1364, 21356, 28421, 9908, 430, 89986, 449, 1057, 17226, 10877, 13, 128001, 128000, 2028, 374, 264, 2294, 3465, 369, 4236, 311, 656, 1063, 9678, 323, 2678, 1912, 6975, 13, 578, 7580, 315, 279, 16720, 374, 311, 19678, 4236, 311, 279, 5370, 32465, 26018, 1766, 304, 4375, 315, 17649, 11, 323, 1243, 311, 3881, 872, 9687, 6677, 311, 279, 11775, 578, 8681, 480, 36614, 627, 3947, 527, 1403, 2204, 11028, 315, 420, 3465, 5343, 512, 7, 16, 8, 5578, 92230, 12, 2599, 2237, 510, 15335, 2674, 15864, 933, 7, 17, 8, 10314, 477, 11084, 2237, 510, 1337, 67383, 9071, 323, 54600, 15864, 60, 128001 ]
[ -100, 5608, 6938, 6296, 13, 8189, 23263, 2001, 3639, 596, 279, 56180, 5380, 2127, 8189, 6938, 374, 264, 5410, 5044, 3786, 3645, 13, 8189, 23263, 320, 50913, 14434, 5234, 41210, 8, 374, 264, 3230, 955, 315, 8189, 6938, 449, 5190, 5942, 8824, 11, 3629, 24950, 505, 220, 19, 5494, 311, 220, 843, 5494, 627, 63807, 28232, 8189, 6938, 323, 8189, 23263, 198, 2620, 315, 36962, 198, 5608, 6938, 11, 2875, 369, 35602, 14434, 6938, 11, 374, 264, 13882, 1511, 8381, 5044, 3786, 3645, 13, 1102, 4131, 304, 5370, 5942, 59539, 11, 24950, 505, 264, 2478, 19262, 72229, 311, 3892, 23401, 72229, 13, 8189, 27864, 527, 17037, 1511, 304, 7528, 18632, 11, 36122, 11, 323, 1023, 23665, 7766, 13, 2435, 3493, 264, 15062, 323, 17251, 3445, 315, 24050, 5942, 477, 51051, 828, 1990, 7766, 13, 578, 5410, 8189, 6938, 706, 264, 8824, 4017, 11, 3629, 709, 311, 220, 17, 5494, 627, 5608, 23263, 11, 477, 35602, 14434, 5234, 41210, 11, 374, 459, 9070, 315, 279, 8189, 6938, 3645, 11784, 311, 23075, 279, 8824, 9669, 315, 279, 5410, 8189, 6938, 13, 8189, 23263, 7563, 3085, 5190, 5942, 59539, 11, 11383, 24950, 505, 220, 19, 5494, 311, 220, 843, 5494, 13, 1115, 7319, 8824, 6276, 369, 279, 5942, 315, 8294, 3626, 11, 2737, 1579, 90150, 6946, 323, 1579, 64036, 7397, 13, 6104, 8189, 23263, 7563, 4430, 279, 1890, 7106, 1404, 323, 6211, 439, 5410, 8189, 27864, 11, 814, 527, 539, 28655, 18641, 449, 7766, 6319, 24121, 369, 5410, 8189, 27864, 627, 2378, 311, 220, 17, 5494, 198, 19, 5494, 311, 220, 843, 5494, 198, 54, 307, 989, 18641, 449, 8189, 16087, 198, 2688, 28655, 18641, 449, 5410, 8189, 16087, 198, 18788, 261, 7766, 11, 4827, 8824, 3966, 198, 49552, 7766, 11, 8294, 1052, 5942, 198, 28474, 449, 47613, 198, 11076, 398, 24001, 449, 69053, 845, 1052, 1887, 627, 65539, 701, 8189, 6938, 374, 24001, 449, 279, 69053, 845, 1052, 1887, 369, 23669, 25780, 627, 44600, 449, 279, 69053, 843, 1052, 1887, 627, 65539, 701, 3756, 11815, 279, 69053, 843, 1052, 1887, 994, 1701, 459, 8189, 23263, 3786, 627, 99435, 323, 33045, 369, 828, 5942, 323, 8481, 627, 791, 8189, 6938, 596, 17251, 1404, 3727, 433, 264, 17125, 5873, 369, 389, 10826, 20521, 828, 5942, 627, 50913, 14434, 5234, 41210, 11, 10209, 8294, 5942, 1109, 5410, 8189, 27864, 627, 5608, 23263, 7563, 449, 220, 845, 5494, 8824, 527, 14791, 369, 28672, 1579, 90150, 6946, 627, 5913, 8824, 11383, 709, 311, 220, 17, 5494, 627, 2127, 8189, 6938, 449, 220, 16, 5494, 8824, 374, 14791, 369, 28672, 7397, 323, 9477, 627, 5913, 8824, 24950, 505, 220, 19, 5494, 311, 220, 843, 5494, 627, 32, 220, 843, 5494, 8189, 23263, 3786, 5825, 42853, 3634, 369, 28672, 3544, 3772, 3626, 627, 11076, 8381, 5044, 3786, 3645, 1511, 304, 5370, 7766, 627, 13622, 7528, 18632, 323, 36122, 1005, 459, 8189, 6938, 369, 5217, 5942, 627, 100192, 369, 6617, 7766, 23537, 5190, 5942, 59539, 627, 5608, 23263, 7563, 527, 17037, 1511, 304, 7528, 18632, 323, 6730, 66, 8076, 369, 872, 7319, 5942, 17357, 627, 30261, 449, 264, 7029, 2134, 315, 7766, 16850, 8189, 16087, 627, 14099, 279, 8189, 6938, 1139, 701, 21288, 596, 8189, 9633, 369, 4062, 323, 4228, 1052, 8481, 627, 2688, 28655, 18641, 449, 7766, 6319, 369, 5410, 8189, 27864, 627, 4061, 701, 3756, 596, 29803, 311, 6106, 25780, 1603, 1701, 459, 8189, 23263, 3786, 627, 3923, 1587, 8189, 23263, 2559, 369, 5380, 5608, 23263, 13656, 369, 35602, 14434, 5234, 41210, 11, 19392, 1202, 5190, 5942, 8824, 7863, 311, 5410, 8189, 27864, 627, 3923, 1052, 1887, 374, 17037, 1511, 389, 8189, 27864, 5380, 5608, 27864, 527, 17037, 24001, 449, 279, 69053, 845, 1052, 1887, 627, 6854, 358, 1005, 459, 8189, 6938, 304, 7766, 430, 1862, 8189, 23263, 5380, 9642, 11, 5410, 8189, 27864, 527, 8965, 18641, 449, 7766, 430, 1862, 8189, 23263, 11, 439, 814, 4430, 279, 1890, 7106, 1404, 323, 6211, 627, 3923, 527, 1063, 4279, 5829, 315, 5410, 8189, 27864, 5380, 20367, 8189, 27864, 527, 17037, 1511, 304, 7528, 18632, 11, 36122, 11, 323, 1023, 23665, 7766, 369, 5217, 5942, 627, 3923, 374, 279, 7340, 5942, 8824, 315, 264, 5410, 8189, 6938, 5380, 791, 7340, 5942, 8824, 315, 264, 5410, 8189, 6938, 374, 11383, 709, 311, 220, 17, 5494, 627, 3923, 374, 279, 6156, 9610, 315, 1701, 459, 8189, 23263, 3786, 927, 264, 5410, 8189, 6938, 5380, 791, 6156, 9610, 315, 8189, 23263, 7563, 374, 872, 5190, 5942, 8824, 11, 3339, 1124, 14791, 369, 28672, 8294, 3626, 1093, 1579, 90150, 6946, 323, 1579, 64036, 7397, 627, 6854, 358, 1005, 459, 8189, 6938, 449, 264, 8294, 8824, 1109, 856, 3756, 30202, 5380, 2181, 596, 11349, 311, 1005, 459, 8189, 6938, 2949, 279, 7340, 7396, 8824, 5300, 555, 701, 3756, 311, 6106, 6300, 15293, 627, 11787, 8189, 23263, 7563, 14791, 369, 7766, 449, 4827, 8824, 3966, 5380, 8142, 18641, 11, 1701, 459, 8189, 23263, 3786, 304, 7766, 449, 4827, 8824, 3966, 1253, 387, 26225, 11, 323, 264, 5410, 8189, 6938, 1436, 387, 810, 2853, 53421, 627, 6854, 459, 8189, 23263, 3786, 387, 1511, 304, 264, 5410, 8189, 9633, 5380, 2822, 11, 8189, 23263, 7563, 527, 539, 28655, 18641, 323, 1253, 539, 990, 304, 5410, 8189, 16087, 13, 4343, 701, 3756, 596, 29803, 369, 25780, 627, 3957, 459, 8189, 23263, 3786, 18641, 449, 9191, 7766, 12899, 5410, 8189, 27864, 5380, 2822, 11, 8189, 23263, 7563, 527, 539, 28655, 18641, 449, 7766, 6319, 24121, 369, 5410, 8189, 27864, 627, 3923, 1052, 1887, 374, 1511, 389, 8189, 23263, 7563, 5380, 5608, 23263, 7563, 527, 11383, 24001, 449, 279, 69053, 843, 1052, 1887, 627, 4438, 656, 358, 3645, 459, 8189, 6938, 369, 23669, 25780, 5380, 4152, 701, 8189, 6938, 449, 279, 69053, 845, 1052, 1887, 369, 23669, 25780, 449, 264, 7029, 2134, 315, 7766, 16850, 8189, 16087, 627, 3957, 279, 828, 8481, 4732, 279, 1890, 369, 682, 8189, 27864, 5380, 2822, 11, 828, 8481, 4732, 649, 13592, 4315, 2204, 8189, 27864, 13, 1102, 596, 7718, 311, 1817, 279, 3786, 596, 4732, 538, 369, 2038, 389, 1202, 5178, 627, 6854, 358, 1005, 459, 8189, 6938, 24001, 449, 279, 69053, 843, 1052, 1887, 5380, 8142, 2753, 4279, 11, 1063, 8189, 27864, 449, 5190, 59539, 1253, 387, 24001, 449, 279, 69053, 843, 1052, 1887, 13, 4343, 279, 3786, 596, 29803, 369, 3649, 627, 3923, 7766, 17037, 1005, 8189, 23263, 7563, 5380, 5608, 23263, 7563, 527, 17037, 1511, 304, 6617, 7528, 18632, 11, 6730, 66, 8076, 11, 323, 1023, 7766, 23537, 5190, 5942, 59539, 627, 12388, 4718, 39193, 198, 21994, 43551, 90999, 5545, 315, 279, 54932, 6296, 13, 5545, 315, 279, 54932, 198, 5971, 43551, 99299, 14166, 42116, 85, 62799, 6296, 13, 921, 569, 27476, 352, 198, 51, 352, 88, 12273, 1050, 71, 1543, 374, 264, 39575, 7061, 11, 5131, 13788, 439, 264, 6156, 26373, 311, 2610, 60351, 916, 13, 1666, 264, 32185, 304, 53794, 323, 1880, 99174, 11, 58628, 88, 12273, 596, 11939, 369, 279, 23965, 315, 15823, 323, 872, 87259, 706, 1766, 264, 4832, 2162, 389, 279, 5452, 13, 58628, 88, 12273, 1624, 2396, 1139, 279, 94603, 27121, 315, 4221, 11, 86055, 1990, 17037, 22568, 4339, 323, 32847, 11, 28592, 8405, 32373, 369, 13016, 15603, 627, 52, 299, 21963, 374, 264, 26611, 2262, 7061, 520, 21069, 56180, 11, 3967, 369, 1077, 25363, 5845, 311, 40821, 6485, 13650, 1139, 23387, 323, 39319, 2262, 13, 3161, 264, 11939, 369, 3495, 323, 264, 69665, 369, 2867, 11, 64694, 4477, 11, 1364, 21356, 28421, 9908, 430, 89986, 449, 1057, 17226, 10877, 13, 128001, -100, 2028, 374, 264, 2294, 3465, 369, 4236, 311, 656, 1063, 9678, 323, 2678, 1912, 6975, 13, 578, 7580, 315, 279, 16720, 374, 311, 19678, 4236, 311, 279, 5370, 32465, 26018, 1766, 304, 4375, 315, 17649, 11, 323, 1243, 311, 3881, 872, 9687, 6677, 311, 279, 11775, 578, 8681, 480, 36614, 627, 3947, 527, 1403, 2204, 11028, 315, 420, 3465, 5343, 512, 7, 16, 8, 5578, 92230, 12, 2599, 2237, 510, 15335, 2674, 15864, 933, 7, 17, 8, 10314, 477, 11084, 2237, 510, 1337, 67383, 9071, 323, 54600, 15864, 60, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90 ]
[ 128000, 52, 12, 1691, 14454, 279, 4948, 315, 279, 3116, 96857, 538, 315, 549, 12, 777, 549, 70566, 1900, 304, 2532, 449, 279, 31013, 6063, 19574, 14836, 1139, 4435, 5111, 220, 16, 320, 7529, 19, 12, 7529, 23, 570, 578, 538, 15609, 264, 864, 11710, 6063, 3440, 58629, 2955, 323, 279, 1176, 304, 6063, 46398, 2532, 311, 4668, 33880, 21787, 439, 5410, 91228, 13, 578, 538, 574, 15753, 1139, 1957, 449, 279, 31188, 315, 4208, 304, 5887, 315, 220, 7529, 19, 323, 4272, 6702, 1202, 1176, 5622, 304, 6250, 482, 549, 12, 1691, 10671, 279, 1176, 58629, 304, 46398, 3925, 311, 3335, 279, 19814, 315, 459, 9354, 7479, 8448, 555, 1648, 315, 264, 659, 77671, 15556, 92983, 320, 39, 4931, 85281, 570, 549, 12, 1691, 574, 5918, 555, 68065, 20603, 36880, 728, 11824, 36463, 323, 5602, 1077, 2004, 301, 17551, 1523, 304, 220, 7529, 15, 13, 6385, 41298, 574, 11887, 389, 7552, 220, 23, 339, 11, 220, 7529, 18, 323, 1364, 574, 37402, 44224, 389, 6664, 220, 1313, 303, 315, 430, 1890, 1060, 627, 2170, 8308, 549, 12, 1691, 49246, 520, 220, 13104, 20181, 320, 8846, 8, 994, 58646, 323, 220, 22614, 20181, 994, 85177, 13, 3005, 5762, 264, 3160, 315, 220, 8848, 13, 20, 7693, 449, 264, 24310, 30090, 220, 508, 7693, 323, 264, 45196, 3948, 315, 220, 806, 13, 23, 7693, 13, 16542, 2410, 574, 1555, 220, 17, 865, 26819, 220, 23, 1824, 23716, 33880, 21787, 10043, 1403, 31468, 82, 369, 7479, 5944, 323, 220, 17, 865, 362, 9560, 19514, 541, 1910, 10808, 369, 1005, 85177, 5944, 13, 27697, 4732, 320, 78960, 4535, 8, 574, 220, 868, 13, 20, 61317, 320, 24, 13, 20, 61317, 85177, 570, 549, 12, 1691, 596, 13941, 23606, 89518, 220, 1682, 323, 5343, 3116, 9640, 11852, 17274, 13, 13287, 2908, 574, 220, 19, 865, 220, 2636, 3906, 92983, 34083, 323, 220, 16, 865, 220, 2421, 3906, 12343, 445, 14, 966, 9722, 6166, 627, 2170, 4435, 5111, 220, 16, 6137, 311, 38680, 4315, 1202, 1690, 4311, 11, 549, 12, 1691, 1766, 11937, 63620, 3221, 279, 16183, 343, 97540, 5438, 82179, 6438, 1022, 279, 13962, 315, 53342, 10057, 13, 5111, 88142, 5246, 6244, 264, 1648, 315, 2324, 369, 549, 12, 38865, 43160, 439, 279, 8013, 16591, 19574, 26155, 14958, 264, 6926, 6023, 311, 6063, 7677, 304, 279, 4892, 15379, 323, 279, 23179, 13, 6385, 1176, 33622, 65362, 304, 6287, 3582, 912, 1957, 574, 5068, 3930, 404, 983, 430, 2532, 323, 1555, 1077, 2132, 4208, 33622, 13, 1102, 574, 539, 3156, 6250, 220, 20, 339, 430, 549, 12, 1691, 2322, 97170, 85281, 3221, 279, 55365, 315, 3297, 994, 279, 6063, 58629, 1176, 30652, 1202, 37693, 13, 4740, 264, 4261, 315, 45214, 287, 11, 549, 12, 1691, 9152, 264, 6992, 92983, 4295, 389, 85281, 902, 11, 304, 2543, 11, 98988, 832, 315, 85281, 596, 32947, 323, 9057, 1077, 311, 16135, 13, 578, 3440, 7577, 220, 15602, 8013, 69938, 13, 12220, 220, 7529, 21, 11, 549, 12, 1691, 574, 2728, 264, 2132, 220, 2421, 3906, 9722, 6166, 369, 13241, 7479, 3440, 17357, 627, 3915, 6250, 220, 7529, 19, 311, 5651, 220, 7529, 22, 11, 549, 12, 1691, 9152, 264, 35306, 5622, 3335, 430, 6137, 449, 85281, 323, 9670, 449, 279, 31209, 8448, 330, 33, 3223, 292, 3343, 6193, 1077, 87952, 7076, 11, 549, 12, 1691, 8308, 45314, 2860, 88142, 323, 4272, 6702, 220, 1987, 30338, 31080, 3235, 449, 3116, 9354, 4208, 18143, 13, 10884, 30338, 8941, 68155, 3312, 5962, 7154, 220, 2421, 11, 931, 20181, 3235, 449, 220, 1958, 11, 21228, 20181, 505, 279, 4208, 18143, 68265, 13, 6385, 7076, 3952, 1077, 505, 279, 4892, 15379, 304, 220, 7529, 19, 311, 279, 38785, 2391, 220, 7529, 20, 12, 7529, 22, 1405, 1364, 323, 1077, 13941, 1051, 2663, 311, 1862, 264, 502, 6063, 31953, 304, 17442, 13, 12220, 279, 25919, 575, 14559, 27643, 11, 549, 12, 1691, 19168, 42045, 304, 27903, 61855, 4208, 18143, 505, 76387, 5505, 3345, 1862, 4027, 369, 20948, 5015, 8603, 482, 82, 16113, 1403, 320, 1073, 63134, 3118, 8, 864, 9607, 888, 77, 2509, 25572, 34322, 304, 279, 1957, 13, 3005, 14454, 264, 13651, 315, 279, 5348, 15379, 3061, 354, 6374, 323, 1243, 5602, 11937, 44224, 439, 961, 315, 279, 13222, 299, 11529, 2234, 8997, 19574, 311, 2187, 1077, 1949, 31402, 304, 23664, 15155, 18198, 482, 10057, 574, 539, 3686, 37402, 520, 4208, 449, 15704, 520, 420, 1486, 719, 279, 97333, 1051, 520, 4208, 449, 6063, 31953, 35998, 11529, 2234, 661, 13, 3005, 10434, 279, 13222, 299, 11529, 2234, 8997, 5292, 439, 330, 52, 12, 1927, 1, 3156, 279, 15155, 18489, 315, 4208, 389, 10057, 389, 6287, 220, 1544, 339, 11, 220, 7529, 21, 13, 1789, 220, 7529, 22, 11, 1364, 574, 32230, 311, 279, 4892, 15379, 311, 3131, 12, 33871, 2218, 8013, 4208, 18143, 13, 763, 220, 7529, 23, 11, 1364, 574, 1903, 961, 315, 14767, 549, 12, 38865, 3061, 354, 6374, 323, 3010, 10434, 304, 279, 4967, 3560, 369, 279, 2800, 315, 279, 4208, 482, 902, 9670, 449, 279, 13287, 380, 560, 315, 6841, 220, 806, 339, 11, 220, 7529, 23, 627, 2409, 279, 6063, 32859, 11, 549, 12, 1691, 574, 14890, 555, 279, 8013, 323, 433, 574, 2391, 279, 5784, 311, 4546, 1077, 311, 8013, 21160, 1234, 16190, 430, 549, 12, 1691, 3952, 389, 3090, 323, 68265, 482, 13696, 1077, 18435, 65912, 7076, 304, 2539, 627, 2583, 97478, 2796, 291, 11, 4470, 8838, 12, 1898, 198, 1110, 2833, 220, 1682, 71077, 198, 30724, 3308, 510, 4078, 549, 12, 777, 2331, 74632, 3502, 82626, 510, 220, 19, 2331, 30724, 35975, 25, 52, 12, 777, 26, 549, 12, 508, 26, 549, 12, 1691, 26, 549, 12, 1313, 198, 12, 8868, 10164, 25927, 198, 12, 44555, 9365, 198, 8848, 13, 20, 10702, 320, 1227, 13, 845, 296, 340, 3408, 611, 51230, 512, 508, 10702, 320, 21, 13, 605, 296, 340, 3724, 611, 74202, 3948, 512, 806, 13, 23, 10702, 320, 18, 13, 1399, 296, 340, 17, 865, 26819, 220, 23, 1824, 23716, 33880, 38424, 449, 220, 17, 865, 362, 9560, 19514, 541, 5148, 9249, 44163, 10043, 220, 17, 865, 29070, 45544, 627, 845, 597, 2641, 320, 972, 35061, 340, 605, 597, 2641, 320, 605, 13, 6365, 8931, 340, 19, 865, 220, 2636, 3906, 320, 508, 909, 92983, 34083, 198, 16, 865, 220, 2421, 3906, 12343, 445, 14, 966, 9722, 6166, 320, 7529, 21, 25, 220, 17, 865, 220, 2421, 3906, 16766, 340, 19, 865, 220, 2636, 3906, 320, 508, 909, 92983, 34083, 198, 17, 865, 220, 2421, 3906, 12343, 445, 14, 966, 9722, 6166, 198, 791, 330, 86426, 17367, 1, 836, 323, 28058, 4246, 916, 12708, 527, 9879, 61579, 549, 815, 13, 42134, 2682, 555, 682, 8581, 13018, 323, 6625, 20207, 3424, 7016, 13, 2052, 5439, 2262, 11, 45543, 11, 323, 24685, 527, 5016, 311, 420, 3997, 320, 39870, 1405, 16717, 8, 323, 539, 369, 27068, 10991, 23452, 304, 904, 1376, 13, 10441, 10666, 6957, 420, 3997, 374, 369, 13970, 323, 16924, 907, 1193, 323, 1288, 539, 311, 387, 71259, 439, 41030, 369, 12035, 35093, 11, 13709, 11, 477, 4689, 5784, 13, 1226, 656, 539, 4662, 904, 315, 279, 3673, 83860, 389, 420, 2816, 13, 5321, 2167, 682, 1023, 44983, 311, 6411, 22348, 7520, 59905, 916, 627, 5920, 315, 264, 4009, 315, 6732, 430, 5764, 8121, 17111, 13477, 11, 264, 828, 32505, 3424, 1511, 304, 23862, 279, 1948, 6411, 13736, 315, 279, 1917, 323, 468, 8561, 4940, 2726, 11, 279, 4435, 18524, 315, 18766, 28058, 59945, 13, 128001 ]
[ -100, 52, 12, 1691, 14454, 279, 4948, 315, 279, 3116, 96857, 538, 315, 549, 12, 777, 549, 70566, 1900, 304, 2532, 449, 279, 31013, 6063, 19574, 14836, 1139, 4435, 5111, 220, 16, 320, 7529, 19, 12, 7529, 23, 570, 578, 538, 15609, 264, 864, 11710, 6063, 3440, 58629, 2955, 323, 279, 1176, 304, 6063, 46398, 2532, 311, 4668, 33880, 21787, 439, 5410, 91228, 13, 578, 538, 574, 15753, 1139, 1957, 449, 279, 31188, 315, 4208, 304, 5887, 315, 220, 7529, 19, 323, 4272, 6702, 1202, 1176, 5622, 304, 6250, 482, 549, 12, 1691, 10671, 279, 1176, 58629, 304, 46398, 3925, 311, 3335, 279, 19814, 315, 459, 9354, 7479, 8448, 555, 1648, 315, 264, 659, 77671, 15556, 92983, 320, 39, 4931, 85281, 570, 549, 12, 1691, 574, 5918, 555, 68065, 20603, 36880, 728, 11824, 36463, 323, 5602, 1077, 2004, 301, 17551, 1523, 304, 220, 7529, 15, 13, 6385, 41298, 574, 11887, 389, 7552, 220, 23, 339, 11, 220, 7529, 18, 323, 1364, 574, 37402, 44224, 389, 6664, 220, 1313, 303, 315, 430, 1890, 1060, 627, 2170, 8308, 549, 12, 1691, 49246, 520, 220, 13104, 20181, 320, 8846, 8, 994, 58646, 323, 220, 22614, 20181, 994, 85177, 13, 3005, 5762, 264, 3160, 315, 220, 8848, 13, 20, 7693, 449, 264, 24310, 30090, 220, 508, 7693, 323, 264, 45196, 3948, 315, 220, 806, 13, 23, 7693, 13, 16542, 2410, 574, 1555, 220, 17, 865, 26819, 220, 23, 1824, 23716, 33880, 21787, 10043, 1403, 31468, 82, 369, 7479, 5944, 323, 220, 17, 865, 362, 9560, 19514, 541, 1910, 10808, 369, 1005, 85177, 5944, 13, 27697, 4732, 320, 78960, 4535, 8, 574, 220, 868, 13, 20, 61317, 320, 24, 13, 20, 61317, 85177, 570, 549, 12, 1691, 596, 13941, 23606, 89518, 220, 1682, 323, 5343, 3116, 9640, 11852, 17274, 13, 13287, 2908, 574, 220, 19, 865, 220, 2636, 3906, 92983, 34083, 323, 220, 16, 865, 220, 2421, 3906, 12343, 445, 14, 966, 9722, 6166, 627, 2170, 4435, 5111, 220, 16, 6137, 311, 38680, 4315, 1202, 1690, 4311, 11, 549, 12, 1691, 1766, 11937, 63620, 3221, 279, 16183, 343, 97540, 5438, 82179, 6438, 1022, 279, 13962, 315, 53342, 10057, 13, 5111, 88142, 5246, 6244, 264, 1648, 315, 2324, 369, 549, 12, 38865, 43160, 439, 279, 8013, 16591, 19574, 26155, 14958, 264, 6926, 6023, 311, 6063, 7677, 304, 279, 4892, 15379, 323, 279, 23179, 13, 6385, 1176, 33622, 65362, 304, 6287, 3582, 912, 1957, 574, 5068, 3930, 404, 983, 430, 2532, 323, 1555, 1077, 2132, 4208, 33622, 13, 1102, 574, 539, 3156, 6250, 220, 20, 339, 430, 549, 12, 1691, 2322, 97170, 85281, 3221, 279, 55365, 315, 3297, 994, 279, 6063, 58629, 1176, 30652, 1202, 37693, 13, 4740, 264, 4261, 315, 45214, 287, 11, 549, 12, 1691, 9152, 264, 6992, 92983, 4295, 389, 85281, 902, 11, 304, 2543, 11, 98988, 832, 315, 85281, 596, 32947, 323, 9057, 1077, 311, 16135, 13, 578, 3440, 7577, 220, 15602, 8013, 69938, 13, 12220, 220, 7529, 21, 11, 549, 12, 1691, 574, 2728, 264, 2132, 220, 2421, 3906, 9722, 6166, 369, 13241, 7479, 3440, 17357, 627, 3915, 6250, 220, 7529, 19, 311, 5651, 220, 7529, 22, 11, 549, 12, 1691, 9152, 264, 35306, 5622, 3335, 430, 6137, 449, 85281, 323, 9670, 449, 279, 31209, 8448, 330, 33, 3223, 292, 3343, 6193, 1077, 87952, 7076, 11, 549, 12, 1691, 8308, 45314, 2860, 88142, 323, 4272, 6702, 220, 1987, 30338, 31080, 3235, 449, 3116, 9354, 4208, 18143, 13, 10884, 30338, 8941, 68155, 3312, 5962, 7154, 220, 2421, 11, 931, 20181, 3235, 449, 220, 1958, 11, 21228, 20181, 505, 279, 4208, 18143, 68265, 13, 6385, 7076, 3952, 1077, 505, 279, 4892, 15379, 304, 220, 7529, 19, 311, 279, 38785, 2391, 220, 7529, 20, 12, 7529, 22, 1405, 1364, 323, 1077, 13941, 1051, 2663, 311, 1862, 264, 502, 6063, 31953, 304, 17442, 13, 12220, 279, 25919, 575, 14559, 27643, 11, 549, 12, 1691, 19168, 42045, 304, 27903, 61855, 4208, 18143, 505, 76387, 5505, 3345, 1862, 4027, 369, 20948, 5015, 8603, 482, 82, 16113, 1403, 320, 1073, 63134, 3118, 8, 864, 9607, 888, 77, 2509, 25572, 34322, 304, 279, 1957, 13, 3005, 14454, 264, 13651, 315, 279, 5348, 15379, 3061, 354, 6374, 323, 1243, 5602, 11937, 44224, 439, 961, 315, 279, 13222, 299, 11529, 2234, 8997, 19574, 311, 2187, 1077, 1949, 31402, 304, 23664, 15155, 18198, 482, 10057, 574, 539, 3686, 37402, 520, 4208, 449, 15704, 520, 420, 1486, 719, 279, 97333, 1051, 520, 4208, 449, 6063, 31953, 35998, 11529, 2234, 661, 13, 3005, 10434, 279, 13222, 299, 11529, 2234, 8997, 5292, 439, 330, 52, 12, 1927, 1, 3156, 279, 15155, 18489, 315, 4208, 389, 10057, 389, 6287, 220, 1544, 339, 11, 220, 7529, 21, 13, 1789, 220, 7529, 22, 11, 1364, 574, 32230, 311, 279, 4892, 15379, 311, 3131, 12, 33871, 2218, 8013, 4208, 18143, 13, 763, 220, 7529, 23, 11, 1364, 574, 1903, 961, 315, 14767, 549, 12, 38865, 3061, 354, 6374, 323, 3010, 10434, 304, 279, 4967, 3560, 369, 279, 2800, 315, 279, 4208, 482, 902, 9670, 449, 279, 13287, 380, 560, 315, 6841, 220, 806, 339, 11, 220, 7529, 23, 627, 2409, 279, 6063, 32859, 11, 549, 12, 1691, 574, 14890, 555, 279, 8013, 323, 433, 574, 2391, 279, 5784, 311, 4546, 1077, 311, 8013, 21160, 1234, 16190, 430, 549, 12, 1691, 3952, 389, 3090, 323, 68265, 482, 13696, 1077, 18435, 65912, 7076, 304, 2539, 627, 2583, 97478, 2796, 291, 11, 4470, 8838, 12, 1898, 198, 1110, 2833, 220, 1682, 71077, 198, 30724, 3308, 510, 4078, 549, 12, 777, 2331, 74632, 3502, 82626, 510, 220, 19, 2331, 30724, 35975, 25, 52, 12, 777, 26, 549, 12, 508, 26, 549, 12, 1691, 26, 549, 12, 1313, 198, 12, 8868, 10164, 25927, 198, 12, 44555, 9365, 198, 8848, 13, 20, 10702, 320, 1227, 13, 845, 296, 340, 3408, 611, 51230, 512, 508, 10702, 320, 21, 13, 605, 296, 340, 3724, 611, 74202, 3948, 512, 806, 13, 23, 10702, 320, 18, 13, 1399, 296, 340, 17, 865, 26819, 220, 23, 1824, 23716, 33880, 38424, 449, 220, 17, 865, 362, 9560, 19514, 541, 5148, 9249, 44163, 10043, 220, 17, 865, 29070, 45544, 627, 845, 597, 2641, 320, 972, 35061, 340, 605, 597, 2641, 320, 605, 13, 6365, 8931, 340, 19, 865, 220, 2636, 3906, 320, 508, 909, 92983, 34083, 198, 16, 865, 220, 2421, 3906, 12343, 445, 14, 966, 9722, 6166, 320, 7529, 21, 25, 220, 17, 865, 220, 2421, 3906, 16766, 340, 19, 865, 220, 2636, 3906, 320, 508, 909, 92983, 34083, 198, 17, 865, 220, 2421, 3906, 12343, 445, 14, 966, 9722, 6166, 198, 791, 330, 86426, 17367, 1, 836, 323, 28058, 4246, 916, 12708, 527, 9879, 61579, 549, 815, 13, 42134, 2682, 555, 682, 8581, 13018, 323, 6625, 20207, 3424, 7016, 13, 2052, 5439, 2262, 11, 45543, 11, 323, 24685, 527, 5016, 311, 420, 3997, 320, 39870, 1405, 16717, 8, 323, 539, 369, 27068, 10991, 23452, 304, 904, 1376, 13, 10441, 10666, 6957, 420, 3997, 374, 369, 13970, 323, 16924, 907, 1193, 323, 1288, 539, 311, 387, 71259, 439, 41030, 369, 12035, 35093, 11, 13709, 11, 477, 4689, 5784, 13, 1226, 656, 539, 4662, 904, 315, 279, 3673, 83860, 389, 420, 2816, 13, 5321, 2167, 682, 1023, 44983, 311, 6411, 22348, 7520, 59905, 916, 627, 5920, 315, 264, 4009, 315, 6732, 430, 5764, 8121, 17111, 13477, 11, 264, 828, 32505, 3424, 1511, 304, 23862, 279, 1948, 6411, 13736, 315, 279, 1917, 323, 468, 8561, 4940, 2726, 11, 279, 4435, 18524, 315, 18766, 28058, 59945, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 49, 374, 369, 12585, 0, 21834, 315, 1403, 810, 6302, 7314, 449, 279, 6661, 432, 1243, 4128, 323, 2440, 1124, 13, 50809, 810, 6725, 449, 432, 555, 4477, 433, 304, 40582, 323, 43147, 1376, 627, 2520, 810, 28890, 6725, 11, 4299, 1618, 627, 51, 38161, 12862, 2930, 2978, 369, 6652, 4236, 13, 128001, 128000, 2746, 499, 2503, 304, 3221, 12862, 20994, 3090, 1317, 3403, 311, 617, 23900, 9950, 1605, 91299, 11, 323, 13454, 420, 220, 1272, 477, 220, 1135, 3115, 304, 279, 836, 315, 8198, 11, 1274, 690, 1212, 8260, 499, 17054, 393, 3806, 2045, 13, 1226, 30147, 1461, 369, 1057, 36899, 4101, 11, 279, 10170, 315, 20704, 627, 41651, 26952, 480, 552, 21152, 14244, 11, 4571, 72, 16549, 323, 3907, 315, 64340, 14561, 11, 264, 7564, 889, 8964, 682, 701, 81171, 21463, 922, 279, 9439, 323, 16180, 311, 18036, 1124, 1523, 627, 1548, 1587, 1790, 315, 813, 990, 304, 264, 13192, 315, 10054, 3090, 11, 449, 37577, 16075, 311, 813, 2547, 13, 20783, 1101, 26202, 369, 97604, 627, 4897, 2362, 5605, 430, 499, 9229, 1455, 315, 701, 2547, 8798, 1555, 701, 2010, 30, 452, 98833, 11, 17054, 393, 3806, 2045, 2795, 2001, 1524, 994, 1455, 315, 701, 2547, 374, 20037, 304, 26302, 323, 264, 6246, 64, 323, 701, 2010, 374, 12743, 13, 4718, 25212, 690, 13194, 11, 719, 430, 753, 682, 627, 4071, 568, 706, 810, 3062, 51286, 311, 21444, 11, 14892, 449, 2324, 62999, 15082, 1778, 439, 16054, 1139, 67004, 3090, 477, 1694, 63205, 304, 279, 6278, 315, 28211, 1306, 701, 1841, 18808, 1523, 627, 2118, 16298, 656, 18754, 2574, 3196, 389, 1148, 814, 1440, 863, 994, 1148, 814, 1440, 374, 5076, 11, 568, 1071, 627, 2127, 3187, 25, 9029, 4498, 1139, 1448, 21596, 3090, 994, 814, 527, 10054, 20543, 11, 12056, 35035, 8138, 11, 11689, 279, 5679, 11, 477, 4737, 279, 15688, 704, 304, 4216, 10683, 13, 5112, 814, 14085, 25587, 627, 2118, 64952, 8964, 430, 499, 527, 2133, 311, 3719, 9950, 1605, 21914, 304, 4520, 422, 499, 4498, 1139, 10054, 3090, 2001, 902, 374, 539, 279, 1162, 13, 36625, 422, 499, 617, 12688, 17895, 389, 433, 753, 2133, 311, 1935, 520, 3325, 4376, 459, 6596, 311, 459, 6596, 2476, 568, 1071, 627, 4071, 420, 8850, 315, 43318, 304, 1193, 264, 5743, 315, 4520, 3727, 1274, 22743, 11, 1054, 438, 22743, 1633, 56452, 36050, 701, 5597, 28846, 13, 9029, 1212, 1344, 3713, 2212, 323, 1344, 14612, 2212, 323, 1243, 814, 87968, 49216, 791, 8706, 8137, 374, 430, 279, 10988, 315, 20129, 67004, 3090, 3727, 1274, 6962, 79, 323, 9950, 651, 306, 76457, 11, 568, 1071, 13, 1442, 701, 2010, 5900, 1234, 304, 430, 1176, 4376, 24401, 499, 3207, 2133, 311, 60537, 1604, 264, 21271, 1285, 315, 3090, 627, 14305, 1176, 4330, 311, 220, 605, 6622, 374, 2216, 11, 2216, 3958, 13, 1102, 40199, 11, 1070, 753, 912, 10712, 922, 433, 11, 323, 499, 2733, 1093, 499, 3207, 2133, 311, 2815, 627, 2118, 13622, 1274, 889, 2815, 304, 9439, 3090, 2815, 3060, 7214, 477, 1633, 20193, 1306, 13, 2030, 814, 527, 539, 9950, 1605, 21914, 2476, 7438, 872, 2547, 753, 6332, 9499, 706, 539, 12504, 59594, 3428, 627, 46690, 3207, 1344, 14612, 2212, 323, 87968, 1606, 814, 649, 1431, 2567, 872, 2010, 3485, 3090, 49216, 1548, 5992, 520, 2380, 35530, 25, 763, 279, 1176, 9568, 433, 374, 16996, 311, 2567, 701, 2010, 3485, 3090, 323, 2585, 701, 27027, 311, 5471, 9950, 651, 306, 321, 1113, 13, 26891, 389, 4737, 1317, 11, 5655, 11745, 82, 13, 5112, 499, 617, 922, 220, 605, 4520, 994, 499, 649, 656, 1054, 57865, 1285, 7351, 863, 311, 1304, 6261, 6220, 11, 1603, 50581, 323, 24569, 3009, 30438, 13, 17830, 499, 617, 922, 459, 6596, 1603, 9950, 1605, 91299, 11, 323, 315, 3388, 499, 2103, 617, 264, 6140, 422, 499, 527, 12512, 264, 2324, 73, 5827, 627, 4071, 1148, 422, 499, 1541, 1431, 733, 3221, 279, 3090, 5380, 14364, 12688, 8137, 374, 264, 40666, 1203, 5754, 1405, 701, 1841, 18808, 1523, 477, 22245, 1139, 264, 50104, 520, 3814, 13, 1054, 64952, 8964, 499, 649, 1431, 18167, 682, 3814, 304, 264, 1841, 779, 499, 617, 311, 636, 704, 323, 733, 369, 1520, 2476, 568, 1071, 627, 4071, 16470, 753, 6677, 374, 5076, 11, 323, 11660, 627, 14305, 8903, 374, 433, 753, 4661, 12266, 311, 31030, 311, 4648, 304, 264, 1841, 25402, 2029, 578, 1841, 374, 23756, 505, 10160, 323, 433, 753, 2744, 76214, 4994, 1109, 304, 13, 320, 2181, 753, 50739, 11, 3582, 11, 779, 480, 552, 21152, 14244, 13912, 264, 21811, 9145, 323, 2362, 12688, 15447, 304, 279, 38411, 29275, 14305, 8903, 374, 430, 220, 2721, 824, 2960, 315, 2778, 9976, 11849, 66, 1157, 527, 927, 304, 279, 1176, 220, 1187, 4207, 2476, 323, 264, 1841, 30488, 264, 5754, 374, 4762, 4228, 311, 7858, 304, 53121, 627, 2118, 16298, 1781, 814, 649, 1431, 18167, 4871, 279, 1841, 13, 2435, 1781, 430, 19093, 374, 2133, 311, 1505, 1124, 13, 2435, 1781, 430, 7296, 374, 12401, 1109, 433, 374, 323, 814, 1781, 430, 649, 4321, 43726, 1109, 814, 649, 49216, 4516, 814, 1212, 11689, 11, 323, 430, 374, 994, 814, 31030, 13, 7694, 388, 5246, 1505, 459, 4384, 1841, 11, 323, 3010, 814, 1505, 264, 2547, 304, 264, 8961, 2115, 627, 3923, 922, 1274, 889, 1935, 25685, 11984, 97604, 389, 1561, 9941, 753, 6187, 5380, 4897, 1288, 387, 6220, 7389, 499, 617, 264, 4851, 3044, 11, 568, 1071, 13, 1054, 40, 32113, 2403, 3815, 264, 30963, 477, 264, 49499, 4047, 1405, 701, 2010, 5900, 320, 318, 44287, 8, 1234, 279, 3090, 13, 4740, 220, 605, 477, 220, 508, 6622, 994, 279, 10988, 706, 24634, 1022, 11, 1243, 499, 649, 2231, 701, 2010, 1234, 49216, 1548, 706, 2500, 12688, 13310, 25, 1054, 27247, 4287, 57371, 2136, 2029, 1102, 753, 264, 8137, 8450, 13, 6122, 323, 8369, 709, 627, 3112, 584, 1047, 311, 2610, 1461, 902, 11321, 11201, 2001, 374, 9235, 550, 75690, 9439, 66284, 1109, 23900, 719, 41369, 21193, 9439, 5380, 2118, 78145, 13, 578, 22380, 374, 3451, 8248, 433, 753, 264, 9235, 9439, 14639, 3011, 374, 369, 1972, 13, 9393, 3090, 68857, 414, 304, 279, 3805, 1120, 3727, 2574, 76214, 49216, 3947, 753, 264, 1695, 7274, 449, 17054, 393, 3806, 2045, 389, 279, 23194, 81111, 8423, 11, 34683, 389, 13674, 13, 1472, 649, 3821, 81111, 636, 49373, 1139, 10054, 3090, 13, 128001, 128000, 2028, 832, 892, 358, 574, 8748, 520, 279, 6246, 369, 856, 4333, 323, 3940, 311, 1304, 10652, 449, 264, 3828, 358, 4024, 311, 1579, 2978, 449, 1418, 358, 30315, 13, 1226, 1051, 15187, 37883, 555, 1063, 36157, 889, 7111, 2362, 3403, 311, 387, 856, 18233, 13, 1283, 1071, 358, 574, 19369, 323, 4691, 422, 358, 1436, 1935, 264, 6945, 449, 1461, 13, 358, 3309, 1461, 912, 323, 568, 4691, 1578, 13, 358, 3309, 1461, 311, 5387, 757, 7636, 323, 568, 15203, 3201, 13, 4815, 2028, 7077, 994, 358, 574, 1093, 220, 972, 323, 433, 2103, 30305, 82, 757, 704, 18399, 358, 1047, 912, 4623, 889, 420, 893, 574, 11, 3249, 568, 4934, 430, 6945, 11, 477, 1148, 568, 574, 16926, 656, 449, 520, 6945, 13, 128001, 128000, 1383, 6706, 80, 23332, 57807, 11, 33357, 878, 198, 1163, 647, 90684, 1389, 1952, 6186, 220, 1682, 11, 578, 41333, 68033, 369, 279, 12531, 17772, 25, 20602, 79, 9824, 393, 14801, 28219, 1022, 304, 921, 647, 90684, 14853, 480, 81875, 16730, 13, 1115, 28099, 690, 1566, 369, 810, 1109, 264, 2305, 311, 19780, 279, 24925, 43448, 311, 18890, 279, 12531, 17772, 627, 11439, 311, 279, 5687, 315, 14853, 480, 81875, 16730, 11, 279, 28099, 8638, 505, 279, 13018, 367, 315, 305, 27403, 13, 26982, 11, 449, 927, 220, 1049, 50829, 11, 433, 690, 3113, 5734, 753, 892, 2902, 263, 3093, 24623, 40308, 3925, 323, 32905, 7829, 627, 1688, 279, 28099, 22150, 11, 264, 24623, 35831, 43124, 430, 374, 220, 1682, 10166, 1317, 323, 220, 1032, 10166, 7029, 374, 315, 7060, 70000, 13, 23674, 11, 1524, 279, 1437, 67043, 389, 1202, 2547, 527, 9539, 4613, 13, 578, 5687, 1071, 430, 1274, 79675, 291, 420, 24623, 35831, 43124, 520, 279, 468, 1136, 276, 800, 1132, 17367, 304, 921, 647, 90684, 627, 13699, 11, 304, 279, 10390, 1302, 315, 279, 21296, 74495, 11, 1070, 527, 3629, 96806, 449, 5448, 315, 51876, 1778, 439, 54623, 11, 12875, 323, 49910, 13, 31909, 11, 814, 527, 304, 2204, 21483, 323, 11112, 10345, 301, 3043, 11, 43120, 398, 50203, 279, 8961, 6237, 520, 279, 892, 627, 4516, 1268, 15196, 374, 279, 24623, 5064, 304, 279, 21296, 74495, 30, 51859, 1071, 430, 433, 574, 8659, 264, 62307, 5064, 520, 430, 892, 627, 5451, 11, 279, 21296, 74495, 706, 264, 30191, 42445, 304, 24623, 19054, 13, 763, 279, 3347, 11, 49910, 14264, 304, 279, 8545, 1093, 36952, 323, 33012, 4856, 1109, 304, 23423, 13, 30070, 279, 21296, 74495, 11, 439, 279, 24623, 5064, 574, 19019, 11469, 11, 279, 1614, 16917, 21190, 304, 19054, 49910, 13, 25929, 11, 264, 810, 12624, 323, 37538, 1648, 315, 19054, 49910, 27115, 9922, 13, 14636, 11, 1274, 6137, 311, 5406, 279, 12939, 315, 10494, 49910, 304, 84019, 323, 40308, 49910, 3196, 389, 2254, 4676, 627, 7816, 7185, 398, 11, 279, 21296, 74495, 1274, 1524, 36592, 264, 15105, 2663, 1630, 28323, 331, 1136, 84, 320, 258, 8620, 25, 110758, 40198, 250, 102347, 705, 602, 1770, 13, 37311, 478, 1197, 37357, 78719, 11, 311, 4933, 49910, 2731, 627, 58276, 11, 24623, 35831, 6302, 1101, 6244, 5526, 55763, 6302, 13, 763, 279, 21296, 74495, 11, 279, 24623, 35831, 96806, 1051, 23911, 369, 279, 55763, 2587, 13, 1102, 44853, 505, 279, 6562, 430, 279, 43720, 4774, 279, 36167, 439, 1664, 304, 279, 308, 2791, 1917, 13, 578, 9257, 1053, 2231, 24623, 1169, 35831, 86115, 1841, 85, 826, 1139, 279, 6206, 315, 279, 5710, 11, 17037, 3967, 439, 1054, 911, 300, 10194, 24623, 10145, 113068, 644, 14154, 3115, 11, 279, 35509, 398, 50765, 24623, 574, 832, 315, 279, 1455, 5526, 5448, 389, 1057, 38618, 529, 62468, 9908, 13, 763, 420, 28099, 11, 1778, 5448, 14134, 5101, 520, 279, 22150, 13, 2030, 814, 10213, 3118, 279, 5448, 315, 712, 1590, 4856, 1109, 305, 27403, 627, 2028, 1054, 754, 277, 9520, 264, 14595, 41462, 2463, 8048, 93286, 43124, 11, 374, 220, 717, 10166, 1317, 323, 220, 20, 10166, 7029, 13, 7648, 315, 279, 2840, 10033, 315, 420, 4251, 6108, 21078, 712, 277, 449, 14071, 323, 6307, 2840, 10033, 706, 21536, 1022, 13, 3161, 264, 1317, 11013, 323, 264, 9408, 58933, 11, 433, 18911, 279, 2217, 315, 264, 41219, 712, 277, 13, 10771, 311, 279, 17649, 11, 279, 5569, 315, 24623, 40308, 304, 279, 41462, 74495, 574, 1633, 3544, 13, 578, 1396, 315, 49910, 304, 459, 4033, 3070, 1436, 5662, 220, 18, 11, 931, 627, 52555, 11, 1070, 374, 264, 1054, 754, 277, 863, 505, 279, 63012, 74495, 520, 279, 28099, 13, 1115, 2380, 33520, 712, 277, 35831, 86115, 77791, 374, 1193, 220, 24, 13, 20, 10166, 1317, 11, 220, 20, 13, 17, 10166, 7029, 323, 220, 21, 13, 18, 10166, 1579, 13, 1102, 706, 1317, 1437, 67043, 49267, 389, 1202, 52354, 11, 449, 264, 34520, 17791, 311, 1202, 2547, 13, 2684, 574, 1101, 264, 39139, 449, 432, 4168, 72, 5497, 320, 64, 8776, 8620, 5497, 7891, 4861, 1695, 33415, 8, 9960, 389, 1202, 1203, 13, 10541, 279, 11341, 374, 296, 5412, 11, 41708, 323, 35509, 398, 50765, 11, 433, 5039, 279, 2217, 315, 264, 712, 277, 13, 128001 ]
[ -100, 49, 374, 369, 12585, 0, 21834, 315, 1403, 810, 6302, 7314, 449, 279, 6661, 432, 1243, 4128, 323, 2440, 1124, 13, 50809, 810, 6725, 449, 432, 555, 4477, 433, 304, 40582, 323, 43147, 1376, 627, 2520, 810, 28890, 6725, 11, 4299, 1618, 627, 51, 38161, 12862, 2930, 2978, 369, 6652, 4236, 13, 128001, -100, 2746, 499, 2503, 304, 3221, 12862, 20994, 3090, 1317, 3403, 311, 617, 23900, 9950, 1605, 91299, 11, 323, 13454, 420, 220, 1272, 477, 220, 1135, 3115, 304, 279, 836, 315, 8198, 11, 1274, 690, 1212, 8260, 499, 17054, 393, 3806, 2045, 13, 1226, 30147, 1461, 369, 1057, 36899, 4101, 11, 279, 10170, 315, 20704, 627, 41651, 26952, 480, 552, 21152, 14244, 11, 4571, 72, 16549, 323, 3907, 315, 64340, 14561, 11, 264, 7564, 889, 8964, 682, 701, 81171, 21463, 922, 279, 9439, 323, 16180, 311, 18036, 1124, 1523, 627, 1548, 1587, 1790, 315, 813, 990, 304, 264, 13192, 315, 10054, 3090, 11, 449, 37577, 16075, 311, 813, 2547, 13, 20783, 1101, 26202, 369, 97604, 627, 4897, 2362, 5605, 430, 499, 9229, 1455, 315, 701, 2547, 8798, 1555, 701, 2010, 30, 452, 98833, 11, 17054, 393, 3806, 2045, 2795, 2001, 1524, 994, 1455, 315, 701, 2547, 374, 20037, 304, 26302, 323, 264, 6246, 64, 323, 701, 2010, 374, 12743, 13, 4718, 25212, 690, 13194, 11, 719, 430, 753, 682, 627, 4071, 568, 706, 810, 3062, 51286, 311, 21444, 11, 14892, 449, 2324, 62999, 15082, 1778, 439, 16054, 1139, 67004, 3090, 477, 1694, 63205, 304, 279, 6278, 315, 28211, 1306, 701, 1841, 18808, 1523, 627, 2118, 16298, 656, 18754, 2574, 3196, 389, 1148, 814, 1440, 863, 994, 1148, 814, 1440, 374, 5076, 11, 568, 1071, 627, 2127, 3187, 25, 9029, 4498, 1139, 1448, 21596, 3090, 994, 814, 527, 10054, 20543, 11, 12056, 35035, 8138, 11, 11689, 279, 5679, 11, 477, 4737, 279, 15688, 704, 304, 4216, 10683, 13, 5112, 814, 14085, 25587, 627, 2118, 64952, 8964, 430, 499, 527, 2133, 311, 3719, 9950, 1605, 21914, 304, 4520, 422, 499, 4498, 1139, 10054, 3090, 2001, 902, 374, 539, 279, 1162, 13, 36625, 422, 499, 617, 12688, 17895, 389, 433, 753, 2133, 311, 1935, 520, 3325, 4376, 459, 6596, 311, 459, 6596, 2476, 568, 1071, 627, 4071, 420, 8850, 315, 43318, 304, 1193, 264, 5743, 315, 4520, 3727, 1274, 22743, 11, 1054, 438, 22743, 1633, 56452, 36050, 701, 5597, 28846, 13, 9029, 1212, 1344, 3713, 2212, 323, 1344, 14612, 2212, 323, 1243, 814, 87968, 49216, 791, 8706, 8137, 374, 430, 279, 10988, 315, 20129, 67004, 3090, 3727, 1274, 6962, 79, 323, 9950, 651, 306, 76457, 11, 568, 1071, 13, 1442, 701, 2010, 5900, 1234, 304, 430, 1176, 4376, 24401, 499, 3207, 2133, 311, 60537, 1604, 264, 21271, 1285, 315, 3090, 627, 14305, 1176, 4330, 311, 220, 605, 6622, 374, 2216, 11, 2216, 3958, 13, 1102, 40199, 11, 1070, 753, 912, 10712, 922, 433, 11, 323, 499, 2733, 1093, 499, 3207, 2133, 311, 2815, 627, 2118, 13622, 1274, 889, 2815, 304, 9439, 3090, 2815, 3060, 7214, 477, 1633, 20193, 1306, 13, 2030, 814, 527, 539, 9950, 1605, 21914, 2476, 7438, 872, 2547, 753, 6332, 9499, 706, 539, 12504, 59594, 3428, 627, 46690, 3207, 1344, 14612, 2212, 323, 87968, 1606, 814, 649, 1431, 2567, 872, 2010, 3485, 3090, 49216, 1548, 5992, 520, 2380, 35530, 25, 763, 279, 1176, 9568, 433, 374, 16996, 311, 2567, 701, 2010, 3485, 3090, 323, 2585, 701, 27027, 311, 5471, 9950, 651, 306, 321, 1113, 13, 26891, 389, 4737, 1317, 11, 5655, 11745, 82, 13, 5112, 499, 617, 922, 220, 605, 4520, 994, 499, 649, 656, 1054, 57865, 1285, 7351, 863, 311, 1304, 6261, 6220, 11, 1603, 50581, 323, 24569, 3009, 30438, 13, 17830, 499, 617, 922, 459, 6596, 1603, 9950, 1605, 91299, 11, 323, 315, 3388, 499, 2103, 617, 264, 6140, 422, 499, 527, 12512, 264, 2324, 73, 5827, 627, 4071, 1148, 422, 499, 1541, 1431, 733, 3221, 279, 3090, 5380, 14364, 12688, 8137, 374, 264, 40666, 1203, 5754, 1405, 701, 1841, 18808, 1523, 477, 22245, 1139, 264, 50104, 520, 3814, 13, 1054, 64952, 8964, 499, 649, 1431, 18167, 682, 3814, 304, 264, 1841, 779, 499, 617, 311, 636, 704, 323, 733, 369, 1520, 2476, 568, 1071, 627, 4071, 16470, 753, 6677, 374, 5076, 11, 323, 11660, 627, 14305, 8903, 374, 433, 753, 4661, 12266, 311, 31030, 311, 4648, 304, 264, 1841, 25402, 2029, 578, 1841, 374, 23756, 505, 10160, 323, 433, 753, 2744, 76214, 4994, 1109, 304, 13, 320, 2181, 753, 50739, 11, 3582, 11, 779, 480, 552, 21152, 14244, 13912, 264, 21811, 9145, 323, 2362, 12688, 15447, 304, 279, 38411, 29275, 14305, 8903, 374, 430, 220, 2721, 824, 2960, 315, 2778, 9976, 11849, 66, 1157, 527, 927, 304, 279, 1176, 220, 1187, 4207, 2476, 323, 264, 1841, 30488, 264, 5754, 374, 4762, 4228, 311, 7858, 304, 53121, 627, 2118, 16298, 1781, 814, 649, 1431, 18167, 4871, 279, 1841, 13, 2435, 1781, 430, 19093, 374, 2133, 311, 1505, 1124, 13, 2435, 1781, 430, 7296, 374, 12401, 1109, 433, 374, 323, 814, 1781, 430, 649, 4321, 43726, 1109, 814, 649, 49216, 4516, 814, 1212, 11689, 11, 323, 430, 374, 994, 814, 31030, 13, 7694, 388, 5246, 1505, 459, 4384, 1841, 11, 323, 3010, 814, 1505, 264, 2547, 304, 264, 8961, 2115, 627, 3923, 922, 1274, 889, 1935, 25685, 11984, 97604, 389, 1561, 9941, 753, 6187, 5380, 4897, 1288, 387, 6220, 7389, 499, 617, 264, 4851, 3044, 11, 568, 1071, 13, 1054, 40, 32113, 2403, 3815, 264, 30963, 477, 264, 49499, 4047, 1405, 701, 2010, 5900, 320, 318, 44287, 8, 1234, 279, 3090, 13, 4740, 220, 605, 477, 220, 508, 6622, 994, 279, 10988, 706, 24634, 1022, 11, 1243, 499, 649, 2231, 701, 2010, 1234, 49216, 1548, 706, 2500, 12688, 13310, 25, 1054, 27247, 4287, 57371, 2136, 2029, 1102, 753, 264, 8137, 8450, 13, 6122, 323, 8369, 709, 627, 3112, 584, 1047, 311, 2610, 1461, 902, 11321, 11201, 2001, 374, 9235, 550, 75690, 9439, 66284, 1109, 23900, 719, 41369, 21193, 9439, 5380, 2118, 78145, 13, 578, 22380, 374, 3451, 8248, 433, 753, 264, 9235, 9439, 14639, 3011, 374, 369, 1972, 13, 9393, 3090, 68857, 414, 304, 279, 3805, 1120, 3727, 2574, 76214, 49216, 3947, 753, 264, 1695, 7274, 449, 17054, 393, 3806, 2045, 389, 279, 23194, 81111, 8423, 11, 34683, 389, 13674, 13, 1472, 649, 3821, 81111, 636, 49373, 1139, 10054, 3090, 13, 128001, -100, 2028, 832, 892, 358, 574, 8748, 520, 279, 6246, 369, 856, 4333, 323, 3940, 311, 1304, 10652, 449, 264, 3828, 358, 4024, 311, 1579, 2978, 449, 1418, 358, 30315, 13, 1226, 1051, 15187, 37883, 555, 1063, 36157, 889, 7111, 2362, 3403, 311, 387, 856, 18233, 13, 1283, 1071, 358, 574, 19369, 323, 4691, 422, 358, 1436, 1935, 264, 6945, 449, 1461, 13, 358, 3309, 1461, 912, 323, 568, 4691, 1578, 13, 358, 3309, 1461, 311, 5387, 757, 7636, 323, 568, 15203, 3201, 13, 4815, 2028, 7077, 994, 358, 574, 1093, 220, 972, 323, 433, 2103, 30305, 82, 757, 704, 18399, 358, 1047, 912, 4623, 889, 420, 893, 574, 11, 3249, 568, 4934, 430, 6945, 11, 477, 1148, 568, 574, 16926, 656, 449, 520, 6945, 13, 128001, -100, 1383, 6706, 80, 23332, 57807, 11, 33357, 878, 198, 1163, 647, 90684, 1389, 1952, 6186, 220, 1682, 11, 578, 41333, 68033, 369, 279, 12531, 17772, 25, 20602, 79, 9824, 393, 14801, 28219, 1022, 304, 921, 647, 90684, 14853, 480, 81875, 16730, 13, 1115, 28099, 690, 1566, 369, 810, 1109, 264, 2305, 311, 19780, 279, 24925, 43448, 311, 18890, 279, 12531, 17772, 627, 11439, 311, 279, 5687, 315, 14853, 480, 81875, 16730, 11, 279, 28099, 8638, 505, 279, 13018, 367, 315, 305, 27403, 13, 26982, 11, 449, 927, 220, 1049, 50829, 11, 433, 690, 3113, 5734, 753, 892, 2902, 263, 3093, 24623, 40308, 3925, 323, 32905, 7829, 627, 1688, 279, 28099, 22150, 11, 264, 24623, 35831, 43124, 430, 374, 220, 1682, 10166, 1317, 323, 220, 1032, 10166, 7029, 374, 315, 7060, 70000, 13, 23674, 11, 1524, 279, 1437, 67043, 389, 1202, 2547, 527, 9539, 4613, 13, 578, 5687, 1071, 430, 1274, 79675, 291, 420, 24623, 35831, 43124, 520, 279, 468, 1136, 276, 800, 1132, 17367, 304, 921, 647, 90684, 627, 13699, 11, 304, 279, 10390, 1302, 315, 279, 21296, 74495, 11, 1070, 527, 3629, 96806, 449, 5448, 315, 51876, 1778, 439, 54623, 11, 12875, 323, 49910, 13, 31909, 11, 814, 527, 304, 2204, 21483, 323, 11112, 10345, 301, 3043, 11, 43120, 398, 50203, 279, 8961, 6237, 520, 279, 892, 627, 4516, 1268, 15196, 374, 279, 24623, 5064, 304, 279, 21296, 74495, 30, 51859, 1071, 430, 433, 574, 8659, 264, 62307, 5064, 520, 430, 892, 627, 5451, 11, 279, 21296, 74495, 706, 264, 30191, 42445, 304, 24623, 19054, 13, 763, 279, 3347, 11, 49910, 14264, 304, 279, 8545, 1093, 36952, 323, 33012, 4856, 1109, 304, 23423, 13, 30070, 279, 21296, 74495, 11, 439, 279, 24623, 5064, 574, 19019, 11469, 11, 279, 1614, 16917, 21190, 304, 19054, 49910, 13, 25929, 11, 264, 810, 12624, 323, 37538, 1648, 315, 19054, 49910, 27115, 9922, 13, 14636, 11, 1274, 6137, 311, 5406, 279, 12939, 315, 10494, 49910, 304, 84019, 323, 40308, 49910, 3196, 389, 2254, 4676, 627, 7816, 7185, 398, 11, 279, 21296, 74495, 1274, 1524, 36592, 264, 15105, 2663, 1630, 28323, 331, 1136, 84, 320, 258, 8620, 25, 110758, 40198, 250, 102347, 705, 602, 1770, 13, 37311, 478, 1197, 37357, 78719, 11, 311, 4933, 49910, 2731, 627, 58276, 11, 24623, 35831, 6302, 1101, 6244, 5526, 55763, 6302, 13, 763, 279, 21296, 74495, 11, 279, 24623, 35831, 96806, 1051, 23911, 369, 279, 55763, 2587, 13, 1102, 44853, 505, 279, 6562, 430, 279, 43720, 4774, 279, 36167, 439, 1664, 304, 279, 308, 2791, 1917, 13, 578, 9257, 1053, 2231, 24623, 1169, 35831, 86115, 1841, 85, 826, 1139, 279, 6206, 315, 279, 5710, 11, 17037, 3967, 439, 1054, 911, 300, 10194, 24623, 10145, 113068, 644, 14154, 3115, 11, 279, 35509, 398, 50765, 24623, 574, 832, 315, 279, 1455, 5526, 5448, 389, 1057, 38618, 529, 62468, 9908, 13, 763, 420, 28099, 11, 1778, 5448, 14134, 5101, 520, 279, 22150, 13, 2030, 814, 10213, 3118, 279, 5448, 315, 712, 1590, 4856, 1109, 305, 27403, 627, 2028, 1054, 754, 277, 9520, 264, 14595, 41462, 2463, 8048, 93286, 43124, 11, 374, 220, 717, 10166, 1317, 323, 220, 20, 10166, 7029, 13, 7648, 315, 279, 2840, 10033, 315, 420, 4251, 6108, 21078, 712, 277, 449, 14071, 323, 6307, 2840, 10033, 706, 21536, 1022, 13, 3161, 264, 1317, 11013, 323, 264, 9408, 58933, 11, 433, 18911, 279, 2217, 315, 264, 41219, 712, 277, 13, 10771, 311, 279, 17649, 11, 279, 5569, 315, 24623, 40308, 304, 279, 41462, 74495, 574, 1633, 3544, 13, 578, 1396, 315, 49910, 304, 459, 4033, 3070, 1436, 5662, 220, 18, 11, 931, 627, 52555, 11, 1070, 374, 264, 1054, 754, 277, 863, 505, 279, 63012, 74495, 520, 279, 28099, 13, 1115, 2380, 33520, 712, 277, 35831, 86115, 77791, 374, 1193, 220, 24, 13, 20, 10166, 1317, 11, 220, 20, 13, 17, 10166, 7029, 323, 220, 21, 13, 18, 10166, 1579, 13, 1102, 706, 1317, 1437, 67043, 49267, 389, 1202, 52354, 11, 449, 264, 34520, 17791, 311, 1202, 2547, 13, 2684, 574, 1101, 264, 39139, 449, 432, 4168, 72, 5497, 320, 64, 8776, 8620, 5497, 7891, 4861, 1695, 33415, 8, 9960, 389, 1202, 1203, 13, 10541, 279, 11341, 374, 296, 5412, 11, 41708, 323, 35509, 398, 50765, 11, 433, 5039, 279, 2217, 315, 264, 712, 277, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 41, 1663, 482, 13210, 15964, 1493, 25, 8412, 6, 374, 5732, 12515, 1723, 31370, 2948, 11, 293, 8, 314, 335, 374, 4613, 449, 1403, 5137, 264, 323, 293, 13, 578, 29796, 31370, 7, 20, 8, 374, 10887, 449, 264, 3254, 5811, 25, 439, 1121, 264, 5852, 374, 220, 20, 11, 719, 279, 293, 5852, 374, 5732, 13, 30973, 220, 21, 25, 5560, 1670, 5852, 907, 13, 18156, 264, 734, 1587, 539, 1397, 279, 2539, 743, 315, 6105, 389, 29796, 627, 3923, 1587, 5732, 3152, 30, 7419, 11, 7438, 323, 7855, 12515, 10614, 315, 5732, 304, 279, 12632, 23392, 2726, 10685, 13, 49203, 315, 5732, 13, 3639, 1587, 5732, 3152, 30, 65658, 10648, 323, 7855, 71722, 320, 7284, 56847, 51923, 5411, 46940, 8, 315, 279, 3492, 5732, 13, 8245, 922, 5732, 304, 279, 12632, 23392, 2726, 11240, 11, 86506, 323, 3276, 46703, 627, 11076, 356, 1044, 4703, 27827, 674, 17, 1389, 63470, 5905, 765, 36931, 12515, 4959, 1665, 2082, 1052, 8964, 4400, 922, 279, 3885, 11, 779, 422, 499, 1650, 264, 734, 505, 832, 1665, 1052, 430, 6866, 304, 2500, 11, 279, 19979, 4250, 3493, 279, 2686, 315, 279, 2663, 734, 13, 1115, 374, 1405, 279, 279, 86845, 4131, 304, 627, 4438, 311, 9006, 279, 330, 30575, 15964, 1493, 551, 8412, 6, 374, 12515, 43574, 8905, 60, 2650, 656, 358, 5155, 5406, 25, 5732, 3977, 25, 1493, 304, 12515, 40, 15562, 433, 374, 1606, 499, 527, 27409, 279, 7482, 2949, 10215, 315, 2082, 602, 1770, 13, 1990, 69203, 33964, 5885, 11, 779, 814, 527, 539, 3967, 4994, 1884, 10215, 627, 10614, 323, 25585, 13, 578, 5732, 3424, 15151, 430, 264, 3977, 706, 539, 1027, 12893, 264, 907, 11, 477, 539, 14610, 520, 682, 627, 128001, 128000, 1966, 279, 832, 1450, 11, 15740, 323, 3728, 24808, 527, 311, 387, 41440, 32448, 11, 389, 279, 1023, 11, 814, 1541, 956, 1390, 311, 8815, 279, 5575, 596, 8521, 21463, 13, 6914, 596, 3987, 814, 1541, 956, 4510, 304, 15740, 477, 41416, 29569, 10182, 2349, 627, 25797, 11, 330, 85611, 12917, 323, 6273, 6514, 315, 682, 11314, 315, 12624, 26018, 10246, 40, 8767, 12090, 430, 3339, 2523, 315, 279, 8421, 18598, 596, 5452, 1053, 35256, 2133, 1306, 279, 3428, 2902, 8764, 14098, 11, 719, 505, 1148, 499, 3350, 358, 1755, 430, 57726, 1053, 59217, 323, 85086, 1124, 627, 10944, 4510, 19160, 315, 264, 5333, 753, 73937, 3727, 1716, 18534, 264, 17983, 38983, 311, 279, 8592, 78631, 323, 20984, 279, 47126, 311, 13208, 485, 4783, 8766, 220, 24735, 315, 279, 220, 2495, 339, 47126, 10246, 9642, 11, 6351, 6260, 13543, 330, 6882, 1113, 311, 8431, 24305, 315, 56461, 43450, 12850, 369, 8405, 56461, 47497, 311, 3738, 7931, 1, 690, 22225, 2515, 430, 842, 627, 10944, 1650, 389, 279, 549, 815, 13, 311, 32616, 3831, 802, 5424, 6921, 1555, 4972, 20038, 449, 279, 8830, 315, 24944, 34234, 389, 279, 4410, 8715, 10246, 15546, 18046, 1436, 430, 449, 5380, 40, 5602, 420, 1566, 2046, 323, 574, 36574, 3201, 555, 433, 13, 8595, 1053, 330, 56966, 17466, 1, 304, 2978, 387, 264, 3575, 30, 42714, 956, 814, 1373, 79001, 5380, 41, 336, 11, 499, 3077, 14224, 1047, 701, 4059, 87312, 555, 927, 18251, 78, 10820, 2617, 315, 473, 47313, 13, 128001, 128000, 19805, 11050, 9601, 42392, 320, 269, 8189, 8724, 304, 2875, 8, 374, 279, 13340, 315, 279, 2324, 11008, 315, 264, 3241, 13, 1102, 374, 264, 34030, 1920, 430, 26420, 279, 5788, 315, 1579, 22867, 3241, 449, 8187, 3284, 5788, 892, 13, 8189, 8724, 50729, 279, 6913, 3197, 449, 2204, 18094, 11, 902, 279, 13707, 1288, 1833, 304, 2015, 311, 1977, 279, 3241, 430, 20628, 279, 6130, 753, 17078, 13, 578, 3197, 15100, 1268, 311, 1977, 323, 10519, 3230, 3241, 13, 7357, 10474, 315, 279, 8189, 8724, 706, 1202, 1866, 1920, 323, 6493, 4893, 430, 5510, 1139, 279, 1828, 10474, 13, 8189, 8724, 374, 7170, 1101, 14183, 311, 439, 1054, 2374, 11050, 9601, 42392, 113068, 3923, 374, 279, 1205, 369, 8189, 8724, 5380, 10438, 6041, 279, 4500, 315, 3241, 11, 279, 4500, 2128, 2011, 8417, 264, 14791, 2324, 11008, 1646, 13, 17586, 433, 11, 279, 4500, 315, 3241, 1053, 539, 387, 304, 264, 37538, 11827, 13, 2684, 2011, 387, 264, 2867, 6945, 922, 994, 323, 1148, 311, 656, 627, 8586, 527, 279, 1925, 8125, 3249, 8189, 8724, 374, 779, 3062, 369, 11469, 3241, 7058, 12, 1102, 6209, 264, 51114, 12914, 430, 19170, 279, 7640, 323, 6493, 4893, 627, 12, 1102, 12992, 279, 4732, 315, 4500, 627, 12, 1102, 52797, 304, 2447, 9293, 323, 38952, 627, 12, 1102, 3727, 2447, 15194, 8831, 627, 12, 1102, 43154, 2447, 6373, 18512, 323, 279, 8244, 2853, 315, 5788, 627, 12, 1102, 43154, 2447, 15635, 627, 12, 1102, 12992, 279, 24035, 315, 682, 13878, 315, 279, 2324, 11008, 311, 682, 39210, 6532, 304, 279, 4500, 1920, 627, 791, 4476, 11050, 9601, 42392, 17610, 315, 279, 2768, 35530, 198, 16, 13, 28780, 323, 16686, 6492, 25, 1102, 374, 279, 16188, 323, 1455, 3062, 6566, 304, 8189, 8724, 13, 1102, 374, 10887, 555, 279, 10195, 13707, 323, 2128, 3697, 555, 4737, 5370, 11374, 505, 279, 6444, 13, 4314, 11374, 1243, 527, 1511, 311, 3197, 279, 5603, 430, 1288, 387, 4529, 627, 17, 13, 3979, 5859, 34884, 25, 9843, 279, 9293, 374, 2884, 11, 279, 1828, 3094, 374, 279, 9904, 13, 1115, 374, 2884, 555, 264, 4476, 77038, 52377, 2246, 902, 17610, 315, 682, 279, 2027, 8670, 311, 387, 6319, 323, 8040, 13, 2684, 527, 14918, 4330, 4595, 315, 69543, 12621, 115972, 12, 23362, 25, 3053, 279, 2447, 387, 8308, 2949, 279, 8199, 477, 539, 5380, 12, 25705, 1389, 3053, 420, 2447, 387, 18073, 4184, 311, 279, 21516, 7016, 323, 1023, 23331, 4684, 22566, 5380, 12, 24416, 1389, 4946, 279, 2447, 387, 8308, 2949, 279, 2728, 892, 9899, 477, 539, 5380, 12, 27766, 1389, 4343, 3508, 279, 5131, 2561, 6500, 6067, 649, 1862, 279, 3241, 477, 539, 5380, 12, 90396, 1389, 3053, 279, 4839, 7677, 387, 3549, 430, 279, 3016, 7612, 5380, 18, 13, 7127, 287, 279, 18112, 25, 20817, 389, 279, 8670, 5300, 304, 328, 11706, 11, 5361, 14769, 5603, 369, 279, 2027, 527, 11223, 304, 264, 7127, 12051, 52377, 13, 578, 66072, 374, 22690, 555, 682, 279, 39210, 323, 279, 1888, 2955, 5603, 374, 1243, 4183, 3196, 389, 5370, 5137, 1778, 439, 5326, 15813, 11, 2027, 22514, 2136, 11, 2955, 1491, 30079, 11, 323, 8199, 323, 892, 17413, 627, 19, 13, 17283, 279, 2027, 25, 1115, 374, 279, 10474, 1405, 279, 5150, 4500, 315, 279, 3241, 8638, 13, 578, 13707, 3350, 2082, 439, 824, 279, 66072, 13, 1442, 682, 315, 279, 3766, 35530, 1051, 11953, 704, 7946, 11, 4477, 279, 2082, 1053, 387, 1790, 8831, 13, 18056, 11, 1070, 527, 11758, 315, 2204, 15840, 15823, 1778, 439, 356, 11, 356, 23240, 13420, 11, 13325, 11, 264, 3230, 15840, 4221, 374, 1511, 311, 3350, 279, 2082, 13, 578, 4221, 374, 12146, 3196, 389, 279, 955, 315, 3241, 1694, 5918, 13, 1789, 3187, 11, 422, 279, 3241, 374, 3566, 6108, 3241, 11, 13420, 649, 387, 1511, 439, 433, 374, 264, 3622, 25034, 15840, 4221, 627, 20, 13, 27866, 279, 4476, 25, 13538, 24944, 279, 3241, 311, 279, 6130, 11, 17879, 7649, 374, 10887, 555, 264, 2128, 315, 3241, 90819, 13, 1115, 374, 2884, 311, 1505, 704, 279, 42655, 304, 279, 3241, 13, 578, 42655, 527, 5068, 527, 8521, 13, 12220, 420, 10474, 11, 279, 18410, 6492, 323, 279, 7649, 2128, 1253, 1505, 1063, 42655, 320, 466, 2106, 439, 3451, 57276, 529, 304, 279, 3241, 5064, 8, 902, 814, 1934, 311, 279, 3241, 13707, 13, 578, 4500, 2128, 27635, 279, 23367, 323, 22014, 1124, 1203, 311, 4367, 6492, 369, 312, 17261, 13, 1115, 1920, 374, 1243, 11763, 3156, 279, 15528, 323, 10077, 12862, 323, 279, 4367, 5410, 374, 8813, 627, 21, 13, 40245, 14, 76386, 25, 9843, 279, 7649, 374, 2884, 323, 279, 3241, 374, 23759, 11, 433, 374, 1243, 27167, 477, 10487, 13, 5112, 1306, 420, 11, 1202, 13709, 8638, 627, 22, 13, 39306, 25, 9843, 279, 3241, 374, 10487, 323, 279, 3016, 8638, 1701, 433, 11, 1972, 4819, 2586, 709, 323, 8670, 527, 311, 387, 29056, 505, 892, 311, 892, 627, 70223, 4211, 315, 8189, 8724, 198, 8586, 527, 1063, 315, 279, 1455, 3062, 4211, 315, 3241, 4500, 9601, 42392, 512, 29353, 13772, 1646, 25, 1115, 374, 279, 13882, 11928, 8189, 8724, 1646, 13, 763, 420, 1646, 11, 279, 4459, 1920, 374, 18255, 1139, 5370, 35530, 1778, 430, 279, 15632, 315, 832, 10474, 14385, 439, 279, 1988, 369, 279, 1828, 10474, 13, 1115, 374, 264, 9904, 36185, 1646, 449, 6931, 35530, 430, 5727, 9904, 315, 1148, 311, 387, 2884, 304, 279, 17876, 35530, 627, 53, 12, 1747, 25, 763, 420, 1646, 11, 279, 35530, 527, 13205, 304, 15638, 13, 2100, 11, 279, 4500, 35530, 527, 389, 832, 3185, 323, 279, 7649, 35530, 527, 389, 279, 1023, 627, 9219, 458, 5008, 25, 1102, 374, 264, 6725, 304, 902, 3136, 16628, 315, 4500, 323, 7649, 374, 11953, 704, 2391, 279, 8189, 8724, 315, 264, 2447, 13, 763, 420, 1920, 11, 279, 4459, 2447, 374, 18255, 1139, 2678, 53399, 22890, 13, 2052, 315, 1521, 22890, 527, 3984, 304, 26771, 627, 50, 5682, 278, 5008, 25, 1115, 374, 264, 5326, 32505, 1920, 1646, 13, 578, 4500, 2128, 67349, 279, 2447, 323, 27667, 902, 5540, 315, 279, 1023, 1920, 4211, 311, 33435, 627, 8705, 1413, 25, 763, 420, 1920, 11, 1855, 4500, 11008, 19159, 459, 33243, 719, 10739, 481, 2373, 315, 279, 3241, 13, 578, 1176, 20140, 5280, 264, 2678, 743, 315, 279, 3241, 8670, 11, 323, 1855, 17876, 2373, 11621, 810, 8670, 13, 578, 1566, 20140, 5727, 279, 4686, 16686, 743, 13, 128001, 128000, 791, 12557, 5475, 612, 18729, 83282, 690, 3493, 14713, 6964, 6848, 389, 51647, 502, 6444, 323, 10168, 389, 311, 701, 15525, 6130, 2385, 13, 1115, 1060, 753, 10017, 690, 3493, 459, 20616, 389, 1268, 311, 32172, 8661, 7526, 1555, 25363, 6130, 2532, 13, 32266, 369, 22032, 505, 40343, 37048, 11351, 889, 690, 10552, 1268, 311, 2274, 264, 5133, 449, 701, 6444, 627, 128001, 128000, 64, 491, 753, 5000, 18, 13, 15, 71626, 16809, 36082, 24893, 11, 28033, 1630, 11, 374, 4245, 369, 7195, 389, 5936, 220, 508, 13, 578, 1567, 11, 1080, 39689, 291, 555, 264, 491, 323, 6168, 2252, 11, 12716, 3871, 3728, 13707, 369, 264, 6800, 5000, 18, 13, 15, 10937, 627, 64, 491, 753, 16131, 2269, 5147, 49958, 374, 1888, 10666, 1555, 12899, 279, 1005, 315, 264, 21391, 15840, 4221, 323, 74436, 16131, 7526, 13, 264, 491, 753, 5226, 374, 5439, 304, 356, 61878, 779, 433, 20628, 279, 18651, 315, 20789, 13707, 13, 264, 491, 753, 3241, 4500, 16530, 374, 264, 16578, 315, 15325, 11, 44993, 11, 323, 628, 2661, 481, 7526, 11, 449, 279, 1520, 315, 902, 13707, 649, 6847, 1977, 872, 1866, 18428, 6067, 477, 2274, 7941, 17517, 323, 423, 54702, 389, 1948, 315, 264, 491, 13, 763, 5369, 11, 264, 491, 5825, 264, 2539, 743, 315, 11944, 11470, 323, 9959, 9477, 311, 1520, 13707, 1977, 423, 54702, 323, 16136, 304, 1925, 8995, 35186, 627, 2520, 279, 7580, 315, 68365, 13707, 529, 9320, 311, 5000, 18, 13, 15, 11, 12131, 59509, 11, 432, 33465, 19903, 10790, 520, 264, 491, 11, 42508, 420, 26129, 2835, 304, 902, 568, 6222, 1268, 311, 1005, 279, 7718, 7526, 315, 264, 491, 1555, 1162, 7978, 323, 21091, 279, 22639, 1990, 423, 54702, 323, 1023, 8522, 1778, 439, 18428, 7074, 20300, 323, 54408, 13, 20696, 374, 2884, 311, 48839, 13707, 315, 279, 6485, 10537, 779, 430, 814, 649, 34477, 1268, 311, 2274, 423, 54702, 389, 264, 491, 2949, 4330, 4520, 627, 8586, 374, 264, 35585, 315, 279, 2835, 627, 128001 ]
[ -100, 41, 1663, 482, 13210, 15964, 1493, 25, 8412, 6, 374, 5732, 12515, 1723, 31370, 2948, 11, 293, 8, 314, 335, 374, 4613, 449, 1403, 5137, 264, 323, 293, 13, 578, 29796, 31370, 7, 20, 8, 374, 10887, 449, 264, 3254, 5811, 25, 439, 1121, 264, 5852, 374, 220, 20, 11, 719, 279, 293, 5852, 374, 5732, 13, 30973, 220, 21, 25, 5560, 1670, 5852, 907, 13, 18156, 264, 734, 1587, 539, 1397, 279, 2539, 743, 315, 6105, 389, 29796, 627, 3923, 1587, 5732, 3152, 30, 7419, 11, 7438, 323, 7855, 12515, 10614, 315, 5732, 304, 279, 12632, 23392, 2726, 10685, 13, 49203, 315, 5732, 13, 3639, 1587, 5732, 3152, 30, 65658, 10648, 323, 7855, 71722, 320, 7284, 56847, 51923, 5411, 46940, 8, 315, 279, 3492, 5732, 13, 8245, 922, 5732, 304, 279, 12632, 23392, 2726, 11240, 11, 86506, 323, 3276, 46703, 627, 11076, 356, 1044, 4703, 27827, 674, 17, 1389, 63470, 5905, 765, 36931, 12515, 4959, 1665, 2082, 1052, 8964, 4400, 922, 279, 3885, 11, 779, 422, 499, 1650, 264, 734, 505, 832, 1665, 1052, 430, 6866, 304, 2500, 11, 279, 19979, 4250, 3493, 279, 2686, 315, 279, 2663, 734, 13, 1115, 374, 1405, 279, 279, 86845, 4131, 304, 627, 4438, 311, 9006, 279, 330, 30575, 15964, 1493, 551, 8412, 6, 374, 12515, 43574, 8905, 60, 2650, 656, 358, 5155, 5406, 25, 5732, 3977, 25, 1493, 304, 12515, 40, 15562, 433, 374, 1606, 499, 527, 27409, 279, 7482, 2949, 10215, 315, 2082, 602, 1770, 13, 1990, 69203, 33964, 5885, 11, 779, 814, 527, 539, 3967, 4994, 1884, 10215, 627, 10614, 323, 25585, 13, 578, 5732, 3424, 15151, 430, 264, 3977, 706, 539, 1027, 12893, 264, 907, 11, 477, 539, 14610, 520, 682, 627, 128001, -100, 1966, 279, 832, 1450, 11, 15740, 323, 3728, 24808, 527, 311, 387, 41440, 32448, 11, 389, 279, 1023, 11, 814, 1541, 956, 1390, 311, 8815, 279, 5575, 596, 8521, 21463, 13, 6914, 596, 3987, 814, 1541, 956, 4510, 304, 15740, 477, 41416, 29569, 10182, 2349, 627, 25797, 11, 330, 85611, 12917, 323, 6273, 6514, 315, 682, 11314, 315, 12624, 26018, 10246, 40, 8767, 12090, 430, 3339, 2523, 315, 279, 8421, 18598, 596, 5452, 1053, 35256, 2133, 1306, 279, 3428, 2902, 8764, 14098, 11, 719, 505, 1148, 499, 3350, 358, 1755, 430, 57726, 1053, 59217, 323, 85086, 1124, 627, 10944, 4510, 19160, 315, 264, 5333, 753, 73937, 3727, 1716, 18534, 264, 17983, 38983, 311, 279, 8592, 78631, 323, 20984, 279, 47126, 311, 13208, 485, 4783, 8766, 220, 24735, 315, 279, 220, 2495, 339, 47126, 10246, 9642, 11, 6351, 6260, 13543, 330, 6882, 1113, 311, 8431, 24305, 315, 56461, 43450, 12850, 369, 8405, 56461, 47497, 311, 3738, 7931, 1, 690, 22225, 2515, 430, 842, 627, 10944, 1650, 389, 279, 549, 815, 13, 311, 32616, 3831, 802, 5424, 6921, 1555, 4972, 20038, 449, 279, 8830, 315, 24944, 34234, 389, 279, 4410, 8715, 10246, 15546, 18046, 1436, 430, 449, 5380, 40, 5602, 420, 1566, 2046, 323, 574, 36574, 3201, 555, 433, 13, 8595, 1053, 330, 56966, 17466, 1, 304, 2978, 387, 264, 3575, 30, 42714, 956, 814, 1373, 79001, 5380, 41, 336, 11, 499, 3077, 14224, 1047, 701, 4059, 87312, 555, 927, 18251, 78, 10820, 2617, 315, 473, 47313, 13, 128001, -100, 19805, 11050, 9601, 42392, 320, 269, 8189, 8724, 304, 2875, 8, 374, 279, 13340, 315, 279, 2324, 11008, 315, 264, 3241, 13, 1102, 374, 264, 34030, 1920, 430, 26420, 279, 5788, 315, 1579, 22867, 3241, 449, 8187, 3284, 5788, 892, 13, 8189, 8724, 50729, 279, 6913, 3197, 449, 2204, 18094, 11, 902, 279, 13707, 1288, 1833, 304, 2015, 311, 1977, 279, 3241, 430, 20628, 279, 6130, 753, 17078, 13, 578, 3197, 15100, 1268, 311, 1977, 323, 10519, 3230, 3241, 13, 7357, 10474, 315, 279, 8189, 8724, 706, 1202, 1866, 1920, 323, 6493, 4893, 430, 5510, 1139, 279, 1828, 10474, 13, 8189, 8724, 374, 7170, 1101, 14183, 311, 439, 1054, 2374, 11050, 9601, 42392, 113068, 3923, 374, 279, 1205, 369, 8189, 8724, 5380, 10438, 6041, 279, 4500, 315, 3241, 11, 279, 4500, 2128, 2011, 8417, 264, 14791, 2324, 11008, 1646, 13, 17586, 433, 11, 279, 4500, 315, 3241, 1053, 539, 387, 304, 264, 37538, 11827, 13, 2684, 2011, 387, 264, 2867, 6945, 922, 994, 323, 1148, 311, 656, 627, 8586, 527, 279, 1925, 8125, 3249, 8189, 8724, 374, 779, 3062, 369, 11469, 3241, 7058, 12, 1102, 6209, 264, 51114, 12914, 430, 19170, 279, 7640, 323, 6493, 4893, 627, 12, 1102, 12992, 279, 4732, 315, 4500, 627, 12, 1102, 52797, 304, 2447, 9293, 323, 38952, 627, 12, 1102, 3727, 2447, 15194, 8831, 627, 12, 1102, 43154, 2447, 6373, 18512, 323, 279, 8244, 2853, 315, 5788, 627, 12, 1102, 43154, 2447, 15635, 627, 12, 1102, 12992, 279, 24035, 315, 682, 13878, 315, 279, 2324, 11008, 311, 682, 39210, 6532, 304, 279, 4500, 1920, 627, 791, 4476, 11050, 9601, 42392, 17610, 315, 279, 2768, 35530, 198, 16, 13, 28780, 323, 16686, 6492, 25, 1102, 374, 279, 16188, 323, 1455, 3062, 6566, 304, 8189, 8724, 13, 1102, 374, 10887, 555, 279, 10195, 13707, 323, 2128, 3697, 555, 4737, 5370, 11374, 505, 279, 6444, 13, 4314, 11374, 1243, 527, 1511, 311, 3197, 279, 5603, 430, 1288, 387, 4529, 627, 17, 13, 3979, 5859, 34884, 25, 9843, 279, 9293, 374, 2884, 11, 279, 1828, 3094, 374, 279, 9904, 13, 1115, 374, 2884, 555, 264, 4476, 77038, 52377, 2246, 902, 17610, 315, 682, 279, 2027, 8670, 311, 387, 6319, 323, 8040, 13, 2684, 527, 14918, 4330, 4595, 315, 69543, 12621, 115972, 12, 23362, 25, 3053, 279, 2447, 387, 8308, 2949, 279, 8199, 477, 539, 5380, 12, 25705, 1389, 3053, 420, 2447, 387, 18073, 4184, 311, 279, 21516, 7016, 323, 1023, 23331, 4684, 22566, 5380, 12, 24416, 1389, 4946, 279, 2447, 387, 8308, 2949, 279, 2728, 892, 9899, 477, 539, 5380, 12, 27766, 1389, 4343, 3508, 279, 5131, 2561, 6500, 6067, 649, 1862, 279, 3241, 477, 539, 5380, 12, 90396, 1389, 3053, 279, 4839, 7677, 387, 3549, 430, 279, 3016, 7612, 5380, 18, 13, 7127, 287, 279, 18112, 25, 20817, 389, 279, 8670, 5300, 304, 328, 11706, 11, 5361, 14769, 5603, 369, 279, 2027, 527, 11223, 304, 264, 7127, 12051, 52377, 13, 578, 66072, 374, 22690, 555, 682, 279, 39210, 323, 279, 1888, 2955, 5603, 374, 1243, 4183, 3196, 389, 5370, 5137, 1778, 439, 5326, 15813, 11, 2027, 22514, 2136, 11, 2955, 1491, 30079, 11, 323, 8199, 323, 892, 17413, 627, 19, 13, 17283, 279, 2027, 25, 1115, 374, 279, 10474, 1405, 279, 5150, 4500, 315, 279, 3241, 8638, 13, 578, 13707, 3350, 2082, 439, 824, 279, 66072, 13, 1442, 682, 315, 279, 3766, 35530, 1051, 11953, 704, 7946, 11, 4477, 279, 2082, 1053, 387, 1790, 8831, 13, 18056, 11, 1070, 527, 11758, 315, 2204, 15840, 15823, 1778, 439, 356, 11, 356, 23240, 13420, 11, 13325, 11, 264, 3230, 15840, 4221, 374, 1511, 311, 3350, 279, 2082, 13, 578, 4221, 374, 12146, 3196, 389, 279, 955, 315, 3241, 1694, 5918, 13, 1789, 3187, 11, 422, 279, 3241, 374, 3566, 6108, 3241, 11, 13420, 649, 387, 1511, 439, 433, 374, 264, 3622, 25034, 15840, 4221, 627, 20, 13, 27866, 279, 4476, 25, 13538, 24944, 279, 3241, 311, 279, 6130, 11, 17879, 7649, 374, 10887, 555, 264, 2128, 315, 3241, 90819, 13, 1115, 374, 2884, 311, 1505, 704, 279, 42655, 304, 279, 3241, 13, 578, 42655, 527, 5068, 527, 8521, 13, 12220, 420, 10474, 11, 279, 18410, 6492, 323, 279, 7649, 2128, 1253, 1505, 1063, 42655, 320, 466, 2106, 439, 3451, 57276, 529, 304, 279, 3241, 5064, 8, 902, 814, 1934, 311, 279, 3241, 13707, 13, 578, 4500, 2128, 27635, 279, 23367, 323, 22014, 1124, 1203, 311, 4367, 6492, 369, 312, 17261, 13, 1115, 1920, 374, 1243, 11763, 3156, 279, 15528, 323, 10077, 12862, 323, 279, 4367, 5410, 374, 8813, 627, 21, 13, 40245, 14, 76386, 25, 9843, 279, 7649, 374, 2884, 323, 279, 3241, 374, 23759, 11, 433, 374, 1243, 27167, 477, 10487, 13, 5112, 1306, 420, 11, 1202, 13709, 8638, 627, 22, 13, 39306, 25, 9843, 279, 3241, 374, 10487, 323, 279, 3016, 8638, 1701, 433, 11, 1972, 4819, 2586, 709, 323, 8670, 527, 311, 387, 29056, 505, 892, 311, 892, 627, 70223, 4211, 315, 8189, 8724, 198, 8586, 527, 1063, 315, 279, 1455, 3062, 4211, 315, 3241, 4500, 9601, 42392, 512, 29353, 13772, 1646, 25, 1115, 374, 279, 13882, 11928, 8189, 8724, 1646, 13, 763, 420, 1646, 11, 279, 4459, 1920, 374, 18255, 1139, 5370, 35530, 1778, 430, 279, 15632, 315, 832, 10474, 14385, 439, 279, 1988, 369, 279, 1828, 10474, 13, 1115, 374, 264, 9904, 36185, 1646, 449, 6931, 35530, 430, 5727, 9904, 315, 1148, 311, 387, 2884, 304, 279, 17876, 35530, 627, 53, 12, 1747, 25, 763, 420, 1646, 11, 279, 35530, 527, 13205, 304, 15638, 13, 2100, 11, 279, 4500, 35530, 527, 389, 832, 3185, 323, 279, 7649, 35530, 527, 389, 279, 1023, 627, 9219, 458, 5008, 25, 1102, 374, 264, 6725, 304, 902, 3136, 16628, 315, 4500, 323, 7649, 374, 11953, 704, 2391, 279, 8189, 8724, 315, 264, 2447, 13, 763, 420, 1920, 11, 279, 4459, 2447, 374, 18255, 1139, 2678, 53399, 22890, 13, 2052, 315, 1521, 22890, 527, 3984, 304, 26771, 627, 50, 5682, 278, 5008, 25, 1115, 374, 264, 5326, 32505, 1920, 1646, 13, 578, 4500, 2128, 67349, 279, 2447, 323, 27667, 902, 5540, 315, 279, 1023, 1920, 4211, 311, 33435, 627, 8705, 1413, 25, 763, 420, 1920, 11, 1855, 4500, 11008, 19159, 459, 33243, 719, 10739, 481, 2373, 315, 279, 3241, 13, 578, 1176, 20140, 5280, 264, 2678, 743, 315, 279, 3241, 8670, 11, 323, 1855, 17876, 2373, 11621, 810, 8670, 13, 578, 1566, 20140, 5727, 279, 4686, 16686, 743, 13, 128001, -100, 791, 12557, 5475, 612, 18729, 83282, 690, 3493, 14713, 6964, 6848, 389, 51647, 502, 6444, 323, 10168, 389, 311, 701, 15525, 6130, 2385, 13, 1115, 1060, 753, 10017, 690, 3493, 459, 20616, 389, 1268, 311, 32172, 8661, 7526, 1555, 25363, 6130, 2532, 13, 32266, 369, 22032, 505, 40343, 37048, 11351, 889, 690, 10552, 1268, 311, 2274, 264, 5133, 449, 701, 6444, 627, 128001, -100, 64, 491, 753, 5000, 18, 13, 15, 71626, 16809, 36082, 24893, 11, 28033, 1630, 11, 374, 4245, 369, 7195, 389, 5936, 220, 508, 13, 578, 1567, 11, 1080, 39689, 291, 555, 264, 491, 323, 6168, 2252, 11, 12716, 3871, 3728, 13707, 369, 264, 6800, 5000, 18, 13, 15, 10937, 627, 64, 491, 753, 16131, 2269, 5147, 49958, 374, 1888, 10666, 1555, 12899, 279, 1005, 315, 264, 21391, 15840, 4221, 323, 74436, 16131, 7526, 13, 264, 491, 753, 5226, 374, 5439, 304, 356, 61878, 779, 433, 20628, 279, 18651, 315, 20789, 13707, 13, 264, 491, 753, 3241, 4500, 16530, 374, 264, 16578, 315, 15325, 11, 44993, 11, 323, 628, 2661, 481, 7526, 11, 449, 279, 1520, 315, 902, 13707, 649, 6847, 1977, 872, 1866, 18428, 6067, 477, 2274, 7941, 17517, 323, 423, 54702, 389, 1948, 315, 264, 491, 13, 763, 5369, 11, 264, 491, 5825, 264, 2539, 743, 315, 11944, 11470, 323, 9959, 9477, 311, 1520, 13707, 1977, 423, 54702, 323, 16136, 304, 1925, 8995, 35186, 627, 2520, 279, 7580, 315, 68365, 13707, 529, 9320, 311, 5000, 18, 13, 15, 11, 12131, 59509, 11, 432, 33465, 19903, 10790, 520, 264, 491, 11, 42508, 420, 26129, 2835, 304, 902, 568, 6222, 1268, 311, 1005, 279, 7718, 7526, 315, 264, 491, 1555, 1162, 7978, 323, 21091, 279, 22639, 1990, 423, 54702, 323, 1023, 8522, 1778, 439, 18428, 7074, 20300, 323, 54408, 13, 20696, 374, 2884, 311, 48839, 13707, 315, 279, 6485, 10537, 779, 430, 814, 649, 34477, 1268, 311, 2274, 423, 54702, 389, 264, 491, 2949, 4330, 4520, 627, 8586, 374, 264, 35585, 315, 279, 2835, 627, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 32, 39339, 374, 264, 1376, 315, 25725, 304, 902, 5219, 527, 15107, 311, 8417, 264, 22643, 13, 578, 3492, 39339, 4131, 505, 279, 24113, 38021, 2763, 11, 7438, 25382, 477, 33415, 13, 1102, 374, 264, 4279, 1648, 369, 17047, 311, 4933, 3300, 323, 374, 6646, 311, 387, 264, 6784, 1752, 1376, 315, 51727, 627, 2181, 374, 3062, 311, 3619, 279, 21448, 315, 11230, 264, 39339, 13, 9176, 1274, 1456, 311, 5376, 872, 17393, 315, 11230, 555, 5737, 439, 3629, 439, 3284, 13, 4452, 11, 420, 8446, 1587, 539, 990, 304, 1455, 5157, 13, 66794, 6492, 5039, 430, 279, 21448, 315, 11230, 527, 2212, 220, 16, 304, 220, 16443, 3610, 320, 15335, 4047, 570, 3296, 2768, 1063, 4382, 5718, 11, 499, 649, 7417, 701, 17393, 315, 11230, 627, 32, 6992, 39339, 1887, 7612, 264, 17383, 369, 26984, 323, 75510, 682, 279, 3300, 9277, 439, 45525, 13, 1115, 374, 14614, 27332, 1555, 264, 30022, 315, 6763, 13307, 889, 1522, 279, 3300, 709, 1555, 279, 7471, 3156, 433, 706, 1027, 1054, 17469, 291, 2029, 1102, 1101, 7612, 264, 743, 315, 5718, 26679, 11900, 323, 1404, 315, 38508, 13, 763, 5369, 11, 1070, 527, 6118, 7194, 6532, 304, 35821, 323, 22923, 279, 39339, 430, 2011, 387, 96604, 505, 279, 7463, 11, 323, 264, 11668, 14614, 5900, 311, 279, 1614, 477, 25438, 627, 791, 30758, 12715, 12195, 315, 264, 39339, 2457, 505, 279, 8620, 21296, 67946, 1990, 220, 10866, 323, 220, 9674, 18531, 13, 578, 1176, 39339, 311, 3085, 264, 8521, 22643, 304, 9473, 369, 14741, 574, 5762, 555, 279, 3363, 315, 816, 62941, 304, 5734, 13, 578, 30758, 6498, 1614, 39339, 574, 5762, 304, 220, 10132, 24, 11, 449, 43749, 1701, 279, 4751, 2763, 466, 552, 3515, 1027, 17124, 1403, 1667, 6931, 627, 644, 279, 220, 1114, 339, 9478, 11, 433, 6244, 1633, 4279, 304, 279, 26746, 311, 31335, 586, 2763, 466, 552, 439, 264, 3445, 315, 19054, 3300, 369, 8009, 10495, 323, 311, 3887, 264, 8205, 315, 1023, 586, 603, 1154, 13, 578, 24417, 4401, 39339, 374, 279, 60920, 1900, 9363, 261, 3251, 304, 279, 26746, 11, 902, 574, 9749, 304, 220, 10861, 21, 13, 1102, 374, 7170, 5107, 311, 33137, 1990, 279, 4216, 1614, 323, 879, 2763, 466, 552, 11, 902, 1051, 3629, 1511, 369, 8661, 10096, 323, 1051, 539, 26267, 15324, 627, 8538, 1274, 1456, 311, 9567, 279, 21448, 555, 21816, 264, 10824, 315, 5219, 430, 690, 5101, 810, 14134, 304, 279, 13633, 13, 4452, 11, 433, 374, 810, 3062, 311, 1440, 279, 19463, 315, 27397, 264, 4040, 10824, 315, 5219, 11, 323, 420, 649, 387, 11075, 555, 21630, 279, 3135, 315, 3347, 27741, 13, 3296, 42118, 279, 49316, 315, 2204, 28559, 11, 499, 649, 1304, 16369, 11429, 922, 902, 6305, 311, 1514, 323, 994, 311, 1514, 1124, 627, 2181, 374, 69919, 311, 387, 1633, 16994, 449, 701, 87449, 13, 1442, 499, 3243, 279, 69428, 11, 433, 374, 1888, 311, 22497, 279, 2694, 1139, 3892, 9333, 14507, 13, 1115, 690, 3041, 499, 264, 6140, 311, 2793, 279, 3300, 323, 35608, 1202, 4754, 369, 6650, 13, 1472, 1288, 1101, 8666, 264, 15337, 76021, 311, 1520, 499, 3197, 369, 13426, 13, 578, 34483, 649, 1935, 709, 311, 4376, 315, 701, 22643, 11, 323, 433, 374, 7718, 311, 387, 10235, 13, 23674, 11, 422, 499, 656, 539, 3197, 15884, 11, 433, 374, 4228, 311, 8493, 682, 315, 701, 87449, 13, 1472, 649, 5766, 420, 555, 3339, 24219, 6020, 11709, 323, 31526, 94705, 6055, 13, 128001, 128000, 791, 18732, 569, 437, 87921, 40809, 1917, 15144, 10065, 12862, 68124, 14385, 1139, 264, 37776, 18273, 11549, 3645, 42160, 1054, 791, 3778, 87921, 449, 279, 4851, 315, 264, 37776, 7073, 2029, 37380, 617, 1027, 11486, 704, 304, 1023, 5415, 439, 433, 16264, 1202, 1176, 57540, 4034, 311, 17368, 1555, 5936, 220, 1591, 339, 627, 2028, 50048, 9168, 6462, 374, 279, 4832, 3217, 311, 2231, 279, 24016, 35678, 1203, 304, 701, 5133, 13, 90250, 690, 990, 3871, 439, 264, 2128, 311, 1893, 872, 1633, 1866, 34966, 13378, 29247, 505, 19307, 627, 10464, 27969, 2082, 25, 435, 10725, 994, 22615, 323, 5371, 264, 220, 966, 4, 1022, 315, 701, 538, 2860, 627, 49237, 3773, 3247, 7648, 75458, 13782, 311, 11406, 4718, 7252, 9601, 4999, 7927, 1357, 38161, 374, 279, 27785, 57201, 1472, 14998, 627, 1687, 12522, 279, 75306, 430, 2722, 14576, 1472, 14173, 311, 35258, 3773, 430, 11278, 627, 2170, 264, 4562, 315, 435, 10725, 499, 51722, 220, 868, 4, 1022, 39148, 627, 14581, 701, 5016, 74265, 34738, 704, 1139, 279, 3090, 439, 433, 29782, 1023, 74265, 82, 15691, 3987, 11, 3021, 11, 23871, 11, 21730, 11, 9096, 11, 323, 3717, 13, 1102, 753, 264, 3814, 430, 499, 4805, 2646, 10894, 627, 19952, 23503, 1139, 264, 14880, 1847, 4580, 449, 420, 2523, 83750, 10214, 19614, 18427, 11, 12433, 291, 505, 904, 7941, 4641, 11, 499, 4805, 1304, 701, 1648, 4315, 1664, 22015, 323, 45536, 43258, 315, 279, 3363, 439, 499, 11886, 43775, 323, 4686, 11774, 13, 16528, 220, 12676, 2919, 264, 1060, 13, 10467, 220, 508, 4, 449, 57204, 6247, 25, 435, 10725, 20368, 627, 11649, 2136, 34969, 323, 6515, 299, 38673, 627, 2654, 25745, 8945, 71932, 1370, 2277, 304, 48713, 18551, 355, 11, 550, 9151, 2212, 701, 7693, 11, 323, 4401, 4028, 701, 1203, 627, 4516, 277, 1555, 279, 3805, 389, 264, 16706, 490, 2070, 3059, 13, 128001, 128000, 32641, 2933, 82945, 374, 459, 8071, 8624, 304, 902, 279, 81209, 32015, 374, 20727, 304, 264, 29683, 5497, 11, 34446, 11376, 31859, 304, 279, 11754, 8071, 1161, 8, 323, 6522, 311, 85515, 422, 2163, 83920, 13, 1102, 374, 14614, 5938, 449, 7319, 50938, 68797, 7410, 304, 279, 8071, 627, 32641, 2933, 82945, 374, 279, 2132, 69475, 5353, 315, 85515, 15603, 13, 1226, 16136, 304, 586, 33232, 21343, 311, 6179, 323, 6225, 27406, 279, 7187, 389, 279, 12939, 315, 2840, 2933, 82945, 323, 1202, 4216, 23842, 627, 21886, 2840, 2933, 82945, 6514, 374, 3196, 389, 46301, 50938, 68797, 7410, 311, 27365, 81209, 32015, 5674, 13, 2684, 374, 912, 6514, 430, 649, 11993, 3073, 306, 63324, 11, 779, 279, 5915, 315, 279, 6514, 374, 311, 3009, 33824, 627, 13622, 315, 279, 6978, 527, 49672, 14400, 555, 279, 1005, 315, 8071, 21701, 430, 4827, 50938, 68797, 7410, 13, 763, 1063, 5157, 50938, 68797, 7410, 649, 387, 4726, 39920, 555, 44010, 21120, 22972, 627, 50, 57673, 12823, 649, 387, 1511, 304, 5157, 1405, 6593, 6514, 374, 539, 7524, 13, 2684, 527, 3892, 12823, 902, 16264, 264, 1054, 5624, 863, 311, 2187, 15962, 311, 6530, 704, 315, 279, 8071, 1555, 420, 8736, 11, 13239, 304, 264, 46301, 315, 279, 50938, 68797, 7410, 627, 644, 1162, 315, 8060, 315, 1521, 30770, 68823, 264, 3361, 58592, 32530, 649, 1101, 387, 95956, 627, 791, 8857, 315, 6978, 11754, 555, 2840, 2933, 82945, 2834, 1431, 3217, 904, 49648, 304, 279, 4216, 18094, 315, 279, 17563, 13, 3277, 814, 1176, 5406, 1063, 9302, 65858, 279, 81209, 32015, 374, 6118, 42817, 20727, 323, 279, 4814, 315, 11376, 323, 9302, 2115, 527, 25912, 3773, 481, 627, 42298, 15439, 323, 6514, 649, 5471, 93294, 81209, 32015, 5674, 323, 5766, 33824, 315, 279, 2840, 2933, 82945, 13, 1102, 374, 16996, 311, 2804, 4261, 950, 21728, 311, 11388, 279, 4216, 4442, 315, 2840, 2933, 82945, 304, 6978, 220, 1272, 477, 9191, 11, 35426, 422, 1070, 527, 5326, 9547, 439, 374, 264, 6928, 3070, 3925, 11, 1579, 856, 30651, 11, 20335, 477, 1023, 18274, 1299, 19338, 627, 70551, 7133, 477, 30090, 279, 50938, 68797, 7410, 374, 279, 1176, 15439, 1749, 13, 1115, 6913, 19179, 706, 311, 387, 23606, 291, 449, 5528, 311, 58681, 279, 2704, 315, 279, 81209, 32015, 512, 38432, 1534, 20796, 8771, 7649, 649, 11388, 279, 29683, 5497, 315, 9302, 4814, 32644, 304, 2840, 2933, 82945, 6978, 627, 22078, 292, 3623, 52461, 8529, 5814, 320, 46, 1182, 8, 11193, 279, 26839, 315, 279, 32015, 24722, 6324, 323, 279, 13481, 79251, 2849, 6324, 315, 279, 84827, 7231, 2167, 2038, 389, 279, 8547, 315, 5674, 304, 1521, 16188, 14726, 315, 279, 8071, 627, 1687, 40076, 2804, 15439, 69570, 311, 682, 315, 1057, 6978, 311, 9536, 519, 88, 430, 912, 2840, 2933, 82945, 690, 733, 2073, 72, 3326, 20158, 13, 4314, 21249, 1853, 9268, 1397, 1317, 4751, 22972, 11, 323, 433, 374, 16188, 264, 1695, 8893, 30659, 5009, 10758, 627, 55528, 84575, 220, 508, 12, 1313, 11, 220, 17, 198, 38342, 13, 220, 25401, 220, 11908, 220, 21949, 198, 61409, 220, 24347, 220, 9992, 220, 6549, 128001, 128000, 17490, 220, 18, 25, 220, 1272, 11050, 278, 23429, 4967, 13413, 11777, 430, 690, 1520, 499, 3719, 459, 9513, 7514, 4999, 17490, 220, 18, 35710, 603, 315, 2500, 32036, 23429, 430, 584, 649, 1005, 13, 38276, 5548, 323, 33185, 811, 4999, 12, 12517, 38276, 5548, 765, 12517, 706, 2867, 5718, 323, 16296, 323, 37577, 279, 3995, 1732, 753, 80602, 13, 1789, 3187, 25, 24119, 2610, 1405, 701, 2911, 527, 2133, 11, 449, 8884, 323, 994, 814, 690, 387, 2162, 26, 15281, 311, 387, 19303, 323, 1427, 520, 279, 8294, 6945, 994, 6376, 23546, 11, 387, 6762, 719, 7626, 627, 12, 6150, 38276, 5548, 765, 6150, 5825, 2867, 5718, 323, 16296, 13, 1789, 3187, 25, 6150, 1288, 387, 264, 6220, 2035, 369, 701, 1716, 13, 1442, 701, 1716, 374, 1694, 79875, 477, 78913, 1304, 2771, 311, 3137, 311, 701, 1716, 753, 11326, 627, 12, 62612, 38276, 5548, 765, 4275, 25068, 1935, 12014, 369, 16967, 3995, 1274, 753, 7865, 13, 1789, 3187, 25, 26911, 279, 6699, 315, 701, 2911, 753, 4885, 26, 2893, 279, 3838, 430, 279, 6980, 1390, 311, 2586, 311, 1389, 387, 19858, 719, 7626, 304, 31692, 2015, 422, 814, 3719, 311, 2872, 10470, 26, 12040, 892, 311, 29488, 279, 6299, 315, 2911, 304, 701, 12818, 627, 12, 22919, 15766, 27972, 765, 17457, 1161, 8, 323, 1023, 12884, 1646, 6928, 11, 8647, 7865, 13, 1789, 3187, 25, 14521, 994, 311, 2019, 499, 3207, 14931, 1389, 2567, 433, 10978, 323, 49424, 26, 13969, 279, 12135, 499, 617, 449, 1023, 12884, 6380, 323, 9498, 11, 5127, 7720, 26, 7073, 1124, 499, 3207, 34300, 3403, 311, 1456, 1578, 1524, 422, 499, 3207, 49230, 627, 12, 45003, 46247, 76040, 765, 13566, 1732, 753, 1888, 4885, 1646, 8647, 7865, 627, 12, 5234, 33185, 811, 765, 11995, 2748, 1161, 8, 323, 13639, 15253, 279, 3995, 1732, 311, 656, 1664, 627, 29690, 0, 22172, 753, 459, 23429, 21275, 13, 578, 220, 1272, 11050, 278, 41738, 374, 6319, 311, 6179, 7931, 922, 279, 11050, 278, 41738, 12914, 323, 12521, 988, 1124, 311, 387, 7524, 9513, 49186, 627, 3513, 47964, 13, 2893, 459, 9513, 7514, 13, 128001, 128000, 2675, 649, 912, 5129, 1755, 311, 1629, 264, 9048, 19115, 315, 904, 1404, 2085, 520, 3325, 264, 2840, 9151, 35996, 369, 279, 5536, 43257, 2345, 304, 832, 1648, 477, 2500, 313, 706, 389, 1475, 2723, 304, 279, 8312, 8957, 627, 791, 12411, 18079, 51961, 19220, 17128, 596, 22033, 990, 369, 279, 26166, 612, 45396, 12292, 287, 7830, 5764, 1097, 73932, 459, 16358, 3392, 315, 47735, 19351, 2930, 430, 649, 387, 25790, 520, 264, 12514, 3997, 13, 73544, 555, 18362, 12865, 6941, 356, 42574, 627, 791, 20258, 11, 29509, 11, 323, 7980, 315, 11092, 7677, 889, 527, 39377, 1855, 1060, 555, 29201, 36689, 34785, 287, 449, 1057, 34785, 44555, 55947, 859, 23146, 779, 3629, 2873, 311, 387, 7366, 520, 264, 5043, 12607, 304, 1268, 814, 1781, 922, 2574, 13, 14496, 73544, 555, 18362, 12865, 6941, 356, 42574, 627, 2257, 13429, 20616, 922, 1268, 86335, 16008, 279, 30633, 323, 69945, 311, 433, 690, 539, 387, 1766, 304, 279, 38246, 5219, 315, 1202, 5652, 24608, 1934, 13, 73544, 555, 6941, 356, 42574, 11, 18362, 12865, 627, 1688, 5091, 33, 6574, 11, 12411, 18079, 51961, 19220, 17128, 7510, 14407, 279, 9266, 596, 9021, 369, 279, 502, 1060, 11, 39686, 4207, 8838, 24358, 15180, 323, 264, 502, 7296, 10959, 1887, 13, 14496, 31710, 555, 18362, 12865, 6941, 356, 42574, 627, 2181, 596, 40432, 6187, 11, 719, 1101, 264, 1938, 311, 64702, 398, 6227, 682, 1884, 889, 8636, 304, 4435, 5111, 358, 11, 902, 5616, 9670, 1306, 3116, 1667, 315, 39438, 425, 389, 420, 1938, 220, 1041, 1667, 4227, 13, 73544, 555, 18362, 12865, 6941, 356, 42574, 13, 128001 ]
[ -100, 32, 39339, 374, 264, 1376, 315, 25725, 304, 902, 5219, 527, 15107, 311, 8417, 264, 22643, 13, 578, 3492, 39339, 4131, 505, 279, 24113, 38021, 2763, 11, 7438, 25382, 477, 33415, 13, 1102, 374, 264, 4279, 1648, 369, 17047, 311, 4933, 3300, 323, 374, 6646, 311, 387, 264, 6784, 1752, 1376, 315, 51727, 627, 2181, 374, 3062, 311, 3619, 279, 21448, 315, 11230, 264, 39339, 13, 9176, 1274, 1456, 311, 5376, 872, 17393, 315, 11230, 555, 5737, 439, 3629, 439, 3284, 13, 4452, 11, 420, 8446, 1587, 539, 990, 304, 1455, 5157, 13, 66794, 6492, 5039, 430, 279, 21448, 315, 11230, 527, 2212, 220, 16, 304, 220, 16443, 3610, 320, 15335, 4047, 570, 3296, 2768, 1063, 4382, 5718, 11, 499, 649, 7417, 701, 17393, 315, 11230, 627, 32, 6992, 39339, 1887, 7612, 264, 17383, 369, 26984, 323, 75510, 682, 279, 3300, 9277, 439, 45525, 13, 1115, 374, 14614, 27332, 1555, 264, 30022, 315, 6763, 13307, 889, 1522, 279, 3300, 709, 1555, 279, 7471, 3156, 433, 706, 1027, 1054, 17469, 291, 2029, 1102, 1101, 7612, 264, 743, 315, 5718, 26679, 11900, 323, 1404, 315, 38508, 13, 763, 5369, 11, 1070, 527, 6118, 7194, 6532, 304, 35821, 323, 22923, 279, 39339, 430, 2011, 387, 96604, 505, 279, 7463, 11, 323, 264, 11668, 14614, 5900, 311, 279, 1614, 477, 25438, 627, 791, 30758, 12715, 12195, 315, 264, 39339, 2457, 505, 279, 8620, 21296, 67946, 1990, 220, 10866, 323, 220, 9674, 18531, 13, 578, 1176, 39339, 311, 3085, 264, 8521, 22643, 304, 9473, 369, 14741, 574, 5762, 555, 279, 3363, 315, 816, 62941, 304, 5734, 13, 578, 30758, 6498, 1614, 39339, 574, 5762, 304, 220, 10132, 24, 11, 449, 43749, 1701, 279, 4751, 2763, 466, 552, 3515, 1027, 17124, 1403, 1667, 6931, 627, 644, 279, 220, 1114, 339, 9478, 11, 433, 6244, 1633, 4279, 304, 279, 26746, 311, 31335, 586, 2763, 466, 552, 439, 264, 3445, 315, 19054, 3300, 369, 8009, 10495, 323, 311, 3887, 264, 8205, 315, 1023, 586, 603, 1154, 13, 578, 24417, 4401, 39339, 374, 279, 60920, 1900, 9363, 261, 3251, 304, 279, 26746, 11, 902, 574, 9749, 304, 220, 10861, 21, 13, 1102, 374, 7170, 5107, 311, 33137, 1990, 279, 4216, 1614, 323, 879, 2763, 466, 552, 11, 902, 1051, 3629, 1511, 369, 8661, 10096, 323, 1051, 539, 26267, 15324, 627, 8538, 1274, 1456, 311, 9567, 279, 21448, 555, 21816, 264, 10824, 315, 5219, 430, 690, 5101, 810, 14134, 304, 279, 13633, 13, 4452, 11, 433, 374, 810, 3062, 311, 1440, 279, 19463, 315, 27397, 264, 4040, 10824, 315, 5219, 11, 323, 420, 649, 387, 11075, 555, 21630, 279, 3135, 315, 3347, 27741, 13, 3296, 42118, 279, 49316, 315, 2204, 28559, 11, 499, 649, 1304, 16369, 11429, 922, 902, 6305, 311, 1514, 323, 994, 311, 1514, 1124, 627, 2181, 374, 69919, 311, 387, 1633, 16994, 449, 701, 87449, 13, 1442, 499, 3243, 279, 69428, 11, 433, 374, 1888, 311, 22497, 279, 2694, 1139, 3892, 9333, 14507, 13, 1115, 690, 3041, 499, 264, 6140, 311, 2793, 279, 3300, 323, 35608, 1202, 4754, 369, 6650, 13, 1472, 1288, 1101, 8666, 264, 15337, 76021, 311, 1520, 499, 3197, 369, 13426, 13, 578, 34483, 649, 1935, 709, 311, 4376, 315, 701, 22643, 11, 323, 433, 374, 7718, 311, 387, 10235, 13, 23674, 11, 422, 499, 656, 539, 3197, 15884, 11, 433, 374, 4228, 311, 8493, 682, 315, 701, 87449, 13, 1472, 649, 5766, 420, 555, 3339, 24219, 6020, 11709, 323, 31526, 94705, 6055, 13, 128001, -100, 791, 18732, 569, 437, 87921, 40809, 1917, 15144, 10065, 12862, 68124, 14385, 1139, 264, 37776, 18273, 11549, 3645, 42160, 1054, 791, 3778, 87921, 449, 279, 4851, 315, 264, 37776, 7073, 2029, 37380, 617, 1027, 11486, 704, 304, 1023, 5415, 439, 433, 16264, 1202, 1176, 57540, 4034, 311, 17368, 1555, 5936, 220, 1591, 339, 627, 2028, 50048, 9168, 6462, 374, 279, 4832, 3217, 311, 2231, 279, 24016, 35678, 1203, 304, 701, 5133, 13, 90250, 690, 990, 3871, 439, 264, 2128, 311, 1893, 872, 1633, 1866, 34966, 13378, 29247, 505, 19307, 627, 10464, 27969, 2082, 25, 435, 10725, 994, 22615, 323, 5371, 264, 220, 966, 4, 1022, 315, 701, 538, 2860, 627, 49237, 3773, 3247, 7648, 75458, 13782, 311, 11406, 4718, 7252, 9601, 4999, 7927, 1357, 38161, 374, 279, 27785, 57201, 1472, 14998, 627, 1687, 12522, 279, 75306, 430, 2722, 14576, 1472, 14173, 311, 35258, 3773, 430, 11278, 627, 2170, 264, 4562, 315, 435, 10725, 499, 51722, 220, 868, 4, 1022, 39148, 627, 14581, 701, 5016, 74265, 34738, 704, 1139, 279, 3090, 439, 433, 29782, 1023, 74265, 82, 15691, 3987, 11, 3021, 11, 23871, 11, 21730, 11, 9096, 11, 323, 3717, 13, 1102, 753, 264, 3814, 430, 499, 4805, 2646, 10894, 627, 19952, 23503, 1139, 264, 14880, 1847, 4580, 449, 420, 2523, 83750, 10214, 19614, 18427, 11, 12433, 291, 505, 904, 7941, 4641, 11, 499, 4805, 1304, 701, 1648, 4315, 1664, 22015, 323, 45536, 43258, 315, 279, 3363, 439, 499, 11886, 43775, 323, 4686, 11774, 13, 16528, 220, 12676, 2919, 264, 1060, 13, 10467, 220, 508, 4, 449, 57204, 6247, 25, 435, 10725, 20368, 627, 11649, 2136, 34969, 323, 6515, 299, 38673, 627, 2654, 25745, 8945, 71932, 1370, 2277, 304, 48713, 18551, 355, 11, 550, 9151, 2212, 701, 7693, 11, 323, 4401, 4028, 701, 1203, 627, 4516, 277, 1555, 279, 3805, 389, 264, 16706, 490, 2070, 3059, 13, 128001, -100, 32641, 2933, 82945, 374, 459, 8071, 8624, 304, 902, 279, 81209, 32015, 374, 20727, 304, 264, 29683, 5497, 11, 34446, 11376, 31859, 304, 279, 11754, 8071, 1161, 8, 323, 6522, 311, 85515, 422, 2163, 83920, 13, 1102, 374, 14614, 5938, 449, 7319, 50938, 68797, 7410, 304, 279, 8071, 627, 32641, 2933, 82945, 374, 279, 2132, 69475, 5353, 315, 85515, 15603, 13, 1226, 16136, 304, 586, 33232, 21343, 311, 6179, 323, 6225, 27406, 279, 7187, 389, 279, 12939, 315, 2840, 2933, 82945, 323, 1202, 4216, 23842, 627, 21886, 2840, 2933, 82945, 6514, 374, 3196, 389, 46301, 50938, 68797, 7410, 311, 27365, 81209, 32015, 5674, 13, 2684, 374, 912, 6514, 430, 649, 11993, 3073, 306, 63324, 11, 779, 279, 5915, 315, 279, 6514, 374, 311, 3009, 33824, 627, 13622, 315, 279, 6978, 527, 49672, 14400, 555, 279, 1005, 315, 8071, 21701, 430, 4827, 50938, 68797, 7410, 13, 763, 1063, 5157, 50938, 68797, 7410, 649, 387, 4726, 39920, 555, 44010, 21120, 22972, 627, 50, 57673, 12823, 649, 387, 1511, 304, 5157, 1405, 6593, 6514, 374, 539, 7524, 13, 2684, 527, 3892, 12823, 902, 16264, 264, 1054, 5624, 863, 311, 2187, 15962, 311, 6530, 704, 315, 279, 8071, 1555, 420, 8736, 11, 13239, 304, 264, 46301, 315, 279, 50938, 68797, 7410, 627, 644, 1162, 315, 8060, 315, 1521, 30770, 68823, 264, 3361, 58592, 32530, 649, 1101, 387, 95956, 627, 791, 8857, 315, 6978, 11754, 555, 2840, 2933, 82945, 2834, 1431, 3217, 904, 49648, 304, 279, 4216, 18094, 315, 279, 17563, 13, 3277, 814, 1176, 5406, 1063, 9302, 65858, 279, 81209, 32015, 374, 6118, 42817, 20727, 323, 279, 4814, 315, 11376, 323, 9302, 2115, 527, 25912, 3773, 481, 627, 42298, 15439, 323, 6514, 649, 5471, 93294, 81209, 32015, 5674, 323, 5766, 33824, 315, 279, 2840, 2933, 82945, 13, 1102, 374, 16996, 311, 2804, 4261, 950, 21728, 311, 11388, 279, 4216, 4442, 315, 2840, 2933, 82945, 304, 6978, 220, 1272, 477, 9191, 11, 35426, 422, 1070, 527, 5326, 9547, 439, 374, 264, 6928, 3070, 3925, 11, 1579, 856, 30651, 11, 20335, 477, 1023, 18274, 1299, 19338, 627, 70551, 7133, 477, 30090, 279, 50938, 68797, 7410, 374, 279, 1176, 15439, 1749, 13, 1115, 6913, 19179, 706, 311, 387, 23606, 291, 449, 5528, 311, 58681, 279, 2704, 315, 279, 81209, 32015, 512, 38432, 1534, 20796, 8771, 7649, 649, 11388, 279, 29683, 5497, 315, 9302, 4814, 32644, 304, 2840, 2933, 82945, 6978, 627, 22078, 292, 3623, 52461, 8529, 5814, 320, 46, 1182, 8, 11193, 279, 26839, 315, 279, 32015, 24722, 6324, 323, 279, 13481, 79251, 2849, 6324, 315, 279, 84827, 7231, 2167, 2038, 389, 279, 8547, 315, 5674, 304, 1521, 16188, 14726, 315, 279, 8071, 627, 1687, 40076, 2804, 15439, 69570, 311, 682, 315, 1057, 6978, 311, 9536, 519, 88, 430, 912, 2840, 2933, 82945, 690, 733, 2073, 72, 3326, 20158, 13, 4314, 21249, 1853, 9268, 1397, 1317, 4751, 22972, 11, 323, 433, 374, 16188, 264, 1695, 8893, 30659, 5009, 10758, 627, 55528, 84575, 220, 508, 12, 1313, 11, 220, 17, 198, 38342, 13, 220, 25401, 220, 11908, 220, 21949, 198, 61409, 220, 24347, 220, 9992, 220, 6549, 128001, -100, 17490, 220, 18, 25, 220, 1272, 11050, 278, 23429, 4967, 13413, 11777, 430, 690, 1520, 499, 3719, 459, 9513, 7514, 4999, 17490, 220, 18, 35710, 603, 315, 2500, 32036, 23429, 430, 584, 649, 1005, 13, 38276, 5548, 323, 33185, 811, 4999, 12, 12517, 38276, 5548, 765, 12517, 706, 2867, 5718, 323, 16296, 323, 37577, 279, 3995, 1732, 753, 80602, 13, 1789, 3187, 25, 24119, 2610, 1405, 701, 2911, 527, 2133, 11, 449, 8884, 323, 994, 814, 690, 387, 2162, 26, 15281, 311, 387, 19303, 323, 1427, 520, 279, 8294, 6945, 994, 6376, 23546, 11, 387, 6762, 719, 7626, 627, 12, 6150, 38276, 5548, 765, 6150, 5825, 2867, 5718, 323, 16296, 13, 1789, 3187, 25, 6150, 1288, 387, 264, 6220, 2035, 369, 701, 1716, 13, 1442, 701, 1716, 374, 1694, 79875, 477, 78913, 1304, 2771, 311, 3137, 311, 701, 1716, 753, 11326, 627, 12, 62612, 38276, 5548, 765, 4275, 25068, 1935, 12014, 369, 16967, 3995, 1274, 753, 7865, 13, 1789, 3187, 25, 26911, 279, 6699, 315, 701, 2911, 753, 4885, 26, 2893, 279, 3838, 430, 279, 6980, 1390, 311, 2586, 311, 1389, 387, 19858, 719, 7626, 304, 31692, 2015, 422, 814, 3719, 311, 2872, 10470, 26, 12040, 892, 311, 29488, 279, 6299, 315, 2911, 304, 701, 12818, 627, 12, 22919, 15766, 27972, 765, 17457, 1161, 8, 323, 1023, 12884, 1646, 6928, 11, 8647, 7865, 13, 1789, 3187, 25, 14521, 994, 311, 2019, 499, 3207, 14931, 1389, 2567, 433, 10978, 323, 49424, 26, 13969, 279, 12135, 499, 617, 449, 1023, 12884, 6380, 323, 9498, 11, 5127, 7720, 26, 7073, 1124, 499, 3207, 34300, 3403, 311, 1456, 1578, 1524, 422, 499, 3207, 49230, 627, 12, 45003, 46247, 76040, 765, 13566, 1732, 753, 1888, 4885, 1646, 8647, 7865, 627, 12, 5234, 33185, 811, 765, 11995, 2748, 1161, 8, 323, 13639, 15253, 279, 3995, 1732, 311, 656, 1664, 627, 29690, 0, 22172, 753, 459, 23429, 21275, 13, 578, 220, 1272, 11050, 278, 41738, 374, 6319, 311, 6179, 7931, 922, 279, 11050, 278, 41738, 12914, 323, 12521, 988, 1124, 311, 387, 7524, 9513, 49186, 627, 3513, 47964, 13, 2893, 459, 9513, 7514, 13, 128001, -100, 2675, 649, 912, 5129, 1755, 311, 1629, 264, 9048, 19115, 315, 904, 1404, 2085, 520, 3325, 264, 2840, 9151, 35996, 369, 279, 5536, 43257, 2345, 304, 832, 1648, 477, 2500, 313, 706, 389, 1475, 2723, 304, 279, 8312, 8957, 627, 791, 12411, 18079, 51961, 19220, 17128, 596, 22033, 990, 369, 279, 26166, 612, 45396, 12292, 287, 7830, 5764, 1097, 73932, 459, 16358, 3392, 315, 47735, 19351, 2930, 430, 649, 387, 25790, 520, 264, 12514, 3997, 13, 73544, 555, 18362, 12865, 6941, 356, 42574, 627, 791, 20258, 11, 29509, 11, 323, 7980, 315, 11092, 7677, 889, 527, 39377, 1855, 1060, 555, 29201, 36689, 34785, 287, 449, 1057, 34785, 44555, 55947, 859, 23146, 779, 3629, 2873, 311, 387, 7366, 520, 264, 5043, 12607, 304, 1268, 814, 1781, 922, 2574, 13, 14496, 73544, 555, 18362, 12865, 6941, 356, 42574, 627, 2257, 13429, 20616, 922, 1268, 86335, 16008, 279, 30633, 323, 69945, 311, 433, 690, 539, 387, 1766, 304, 279, 38246, 5219, 315, 1202, 5652, 24608, 1934, 13, 73544, 555, 6941, 356, 42574, 11, 18362, 12865, 627, 1688, 5091, 33, 6574, 11, 12411, 18079, 51961, 19220, 17128, 7510, 14407, 279, 9266, 596, 9021, 369, 279, 502, 1060, 11, 39686, 4207, 8838, 24358, 15180, 323, 264, 502, 7296, 10959, 1887, 13, 14496, 31710, 555, 18362, 12865, 6941, 356, 42574, 627, 2181, 596, 40432, 6187, 11, 719, 1101, 264, 1938, 311, 64702, 398, 6227, 682, 1884, 889, 8636, 304, 4435, 5111, 358, 11, 902, 5616, 9670, 1306, 3116, 1667, 315, 39438, 425, 389, 420, 1938, 220, 1041, 1667, 4227, 13, 73544, 555, 18362, 12865, 6941, 356, 42574, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263 ]
[ 128000, 2169, 39171, 4418, 1431, 7984, 647, 304, 1057, 36739, 323, 507, 43320, 198, 49949, 1523, 8930, 462, 24076, 1306, 8987, 11422, 323, 499, 4805, 1518, 12466, 18381, 323, 27474, 16075, 682, 3235, 14286, 13, 19545, 1690, 315, 1057, 6366, 35909, 323, 499, 4805, 1505, 810, 323, 810, 12466, 38593, 709, 389, 279, 9462, 13, 37558, 649, 10240, 1268, 1057, 12466, 25793, 374, 31135, 13, 1102, 29910, 927, 264, 3610, 281, 56458, 11, 72503, 323, 7795, 1855, 1060, 13, 1102, 2646, 5900, 3201, 627, 3947, 527, 4382, 7504, 4741, 11, 2737, 1972, 48609, 389, 12466, 18381, 11, 323, 5593, 16946, 31956, 430, 2567, 12466, 27474, 11, 18381, 11, 323, 810, 11, 704, 315, 1057, 54280, 323, 1057, 4676, 13, 1952, 6287, 220, 23, 279, 42691, 11784, 13543, 369, 1120, 1778, 264, 13155, 11, 719, 2225, 15277, 323, 31158, 16626, 433, 1523, 13, 2435, 1071, 584, 3287, 1431, 1205, 433, 1389, 7344, 814, 6773, 814, 1205, 872, 24910, 505, 21662, 5220, 1093, 63954, 4349, 64, 810, 13, 7357, 1614, 3734, 23225, 323, 93528, 690, 5246, 617, 264, 13155, 1093, 420, 13, 3639, 656, 814, 1440, 430, 1057, 1403, 2362, 9875, 1541, 1431, 5380, 1687, 1205, 311, 636, 6129, 922, 34978, 304, 420, 1614, 11, 311, 6144, 1057, 4676, 323, 1057, 2890, 11, 323, 311, 1893, 279, 7032, 315, 264, 22556, 8752, 627, 37461, 42005, 1789, 4073, 198, 4071, 1193, 422, 584, 2559, 29292, 11, 3871, 584, 649, 1304, 3925, 13, 1226, 1205, 499, 311, 387, 264, 961, 315, 433, 13, 16877, 603, 1457, 4999, 97919, 311, 5751, 27643, 198, 1687, 1541, 1431, 617, 279, 5655, 30278, 315, 2466, 2626, 13, 4718, 1862, 1253, 1520, 603, 627, 8075, 603, 198, 1687, 1541, 1431, 617, 279, 5655, 30278, 315, 2466, 2626, 13, 4718, 1862, 649, 2237, 279, 5737, 2115, 13, 128001, 128000, 49, 4760, 45, 3907, 6160, 22012, 11352, 279, 1648, 1268, 18563, 764, 1154, 320, 1820, 7917, 315, 279, 330, 3983, 1584, 1, 22852, 2077, 8, 6013, 311, 37140, 323, 11054, 1268, 279, 22852, 2077, 14117, 389, 872, 6371, 13, 1102, 6656, 704, 430, 994, 15246, 311, 459, 47288, 39535, 11, 1403, 31322, 24717, 527, 22756, 304, 18563, 764, 1154, 25291, 1198, 96811, 323, 20747, 5977, 37140, 13, 4314, 828, 649, 13893, 387, 5505, 304, 279, 6514, 315, 9572, 11, 439, 17550, 15449, 315, 18563, 764, 1154, 690, 20259, 279, 22852, 2077, 315, 279, 47120, 304, 279, 4465, 2403, 264, 36254, 13, 578, 3135, 1051, 4756, 304, 279, 8486, 12371, 25111, 55103, 612, 71881, 42811, 627, 20122, 22761, 1154, 527, 279, 7917, 8647, 369, 1343, 351, 511, 16820, 10934, 1198, 814, 12602, 24032, 11, 279, 5710, 7917, 8625, 323, 1023, 7362, 19252, 13, 1115, 374, 279, 1176, 1584, 315, 9232, 315, 22852, 1887, 13, 7648, 18563, 764, 1154, 527, 14454, 505, 6680, 1647, 57878, 11, 902, 304, 2543, 1782, 304, 279, 2237, 315, 1403, 28896, 389, 872, 7479, 25, 11325, 975, 323, 11325, 845, 13, 30070, 1457, 11, 433, 574, 539, 3967, 1268, 18563, 764, 1154, 14592, 505, 279, 1403, 1455, 25685, 4595, 315, 1647, 57878, 1198, 2663, 11325, 975, 10, 1677, 57878, 323, 11325, 845, 10, 1677, 57878, 12, 6961, 311, 37140, 13, 432, 4760, 45, 3907, 6160, 22012, 617, 11054, 1521, 12062, 627, 23912, 49264, 11, 4315, 279, 4756, 828, 11, 1070, 374, 32367, 912, 2038, 922, 279, 15449, 315, 18563, 764, 1154, 12457, 505, 11325, 975, 10, 1677, 57878, 323, 11325, 845, 10, 1677, 57878, 13, 2684, 617, 1193, 1027, 3892, 4756, 4375, 29329, 311, 279, 463, 67595, 83245, 315, 3823, 18563, 764, 1154, 449, 29865, 96157, 70504, 6371, 13, 7648, 828, 14592, 505, 8814, 4211, 13, 1226, 6773, 311, 5266, 420, 13225, 323, 7142, 1268, 18563, 764, 1154, 12457, 505, 11325, 975, 10, 323, 11325, 845, 10, 1677, 57878, 527, 22756, 10246, 15000, 2259, 88252, 3919, 587, 12949, 11, 30661, 11, 8483, 261, 11, 13235, 12371, 52536, 32184, 11, 432, 4760, 45, 3907, 198, 791, 44540, 389, 279, 7479, 315, 18563, 764, 1154, 14085, 11, 369, 3187, 11, 311, 19588, 28765, 1065, 582, 1799, 3422, 320, 43, 5119, 8, 1198, 279, 1925, 3777, 315, 45964, 79348, 13, 432, 4760, 45, 3907, 6160, 22012, 1511, 6680, 10688, 505, 4848, 9498, 3278, 20330, 220, 1627, 311, 220, 1958, 1667, 323, 25181, 11325, 975, 10, 1677, 57878, 323, 11325, 845, 10, 1677, 57878, 505, 279, 6680, 1701, 24924, 25768, 13, 5112, 279, 1647, 57878, 1051, 330, 42286, 1, 1139, 18563, 764, 1154, 482, 555, 52129, 449, 3361, 60038, 9547, 13, 7553, 22761, 1154, 12457, 505, 2204, 4595, 315, 1647, 57878, 1051, 38126, 311, 445, 5119, 323, 30239, 1701, 6530, 79909, 7133, 11, 6367, 638, 11, 36815, 3151, 323, 5541, 3151, 6492, 627, 791, 3135, 21091, 430, 11, 95052, 11, 279, 8776, 13096, 315, 18563, 764, 1154, 1139, 463, 67595, 323, 7294, 67595, 374, 539, 5115, 4495, 1198, 814, 3480, 872, 5865, 11911, 389, 279, 14932, 4787, 13, 432, 4760, 45, 3907, 6160, 22012, 1101, 1766, 704, 430, 18563, 764, 1154, 14592, 505, 11325, 975, 10, 1677, 57878, 527, 810, 38097, 311, 264, 463, 67595, 2077, 13, 23260, 79909, 7133, 8710, 430, 1521, 18563, 764, 1154, 6925, 27985, 810, 11325, 4218, 13128, 11, 902, 374, 8647, 369, 279, 15449, 315, 350, 12, 398, 56102, 57878, 1198, 1023, 7917, 315, 279, 22852, 2077, 13, 2468, 279, 1890, 892, 11, 6367, 638, 6492, 8710, 430, 18563, 764, 1154, 14592, 505, 11325, 975, 10, 1677, 57878, 513, 9537, 810, 463, 67595, 323, 7294, 67595, 83185, 483, 35715, 627, 9673, 3135, 649, 387, 1511, 304, 279, 3938, 369, 279, 6514, 315, 78970, 5848, 19338, 13, 578, 2144, 374, 430, 463, 67595, 18563, 764, 1154, 527, 3025, 311, 4465, 56071, 13, 393, 16671, 279, 1455, 14791, 1647, 57878, 315, 279, 8893, 320, 6620, 975, 477, 11325, 845, 705, 13353, 1124, 1139, 463, 67595, 18563, 764, 1154, 323, 43929, 287, 1124, 1203, 311, 279, 36254, 11, 832, 649, 51077, 279, 47120, 596, 4465, 2403, 9572, 7917, 627, 10227, 1401, 4360, 374, 279, 5873, 315, 1647, 79759, 27084, 369, 4726, 37471, 3851, 315, 18563, 764, 1154, 13, 14636, 11, 18563, 764, 1154, 12457, 505, 2204, 22673, 315, 3823, 1647, 57878, 527, 13893, 9959, 369, 2849, 15419, 304, 1162, 315, 94329, 78970, 5848, 19338, 498, 1071, 3735, 2259, 88252, 3919, 587, 12949, 11, 30661, 11, 32185, 520, 13235, 12371, 52536, 32184, 520, 432, 4760, 45, 3907, 627, 53, 819, 3919, 587, 12949, 11, 393, 2637, 1880, 453, 13, 320, 2366, 16, 8, 578, 2077, 315, 1403, 25685, 1647, 79759, 75605, 311, 37140, 13, 12371, 25111, 55103, 612, 71881, 42811, 13, 36995, 2726, 14, 605, 13, 4645, 21, 4537, 53602, 454, 4317, 13, 2366, 16, 13, 5037, 22638, 13, 128001 ]
[ -100, 2169, 39171, 4418, 1431, 7984, 647, 304, 1057, 36739, 323, 507, 43320, 198, 49949, 1523, 8930, 462, 24076, 1306, 8987, 11422, 323, 499, 4805, 1518, 12466, 18381, 323, 27474, 16075, 682, 3235, 14286, 13, 19545, 1690, 315, 1057, 6366, 35909, 323, 499, 4805, 1505, 810, 323, 810, 12466, 38593, 709, 389, 279, 9462, 13, 37558, 649, 10240, 1268, 1057, 12466, 25793, 374, 31135, 13, 1102, 29910, 927, 264, 3610, 281, 56458, 11, 72503, 323, 7795, 1855, 1060, 13, 1102, 2646, 5900, 3201, 627, 3947, 527, 4382, 7504, 4741, 11, 2737, 1972, 48609, 389, 12466, 18381, 11, 323, 5593, 16946, 31956, 430, 2567, 12466, 27474, 11, 18381, 11, 323, 810, 11, 704, 315, 1057, 54280, 323, 1057, 4676, 13, 1952, 6287, 220, 23, 279, 42691, 11784, 13543, 369, 1120, 1778, 264, 13155, 11, 719, 2225, 15277, 323, 31158, 16626, 433, 1523, 13, 2435, 1071, 584, 3287, 1431, 1205, 433, 1389, 7344, 814, 6773, 814, 1205, 872, 24910, 505, 21662, 5220, 1093, 63954, 4349, 64, 810, 13, 7357, 1614, 3734, 23225, 323, 93528, 690, 5246, 617, 264, 13155, 1093, 420, 13, 3639, 656, 814, 1440, 430, 1057, 1403, 2362, 9875, 1541, 1431, 5380, 1687, 1205, 311, 636, 6129, 922, 34978, 304, 420, 1614, 11, 311, 6144, 1057, 4676, 323, 1057, 2890, 11, 323, 311, 1893, 279, 7032, 315, 264, 22556, 8752, 627, 37461, 42005, 1789, 4073, 198, 4071, 1193, 422, 584, 2559, 29292, 11, 3871, 584, 649, 1304, 3925, 13, 1226, 1205, 499, 311, 387, 264, 961, 315, 433, 13, 16877, 603, 1457, 4999, 97919, 311, 5751, 27643, 198, 1687, 1541, 1431, 617, 279, 5655, 30278, 315, 2466, 2626, 13, 4718, 1862, 1253, 1520, 603, 627, 8075, 603, 198, 1687, 1541, 1431, 617, 279, 5655, 30278, 315, 2466, 2626, 13, 4718, 1862, 649, 2237, 279, 5737, 2115, 13, 128001, -100, 49, 4760, 45, 3907, 6160, 22012, 11352, 279, 1648, 1268, 18563, 764, 1154, 320, 1820, 7917, 315, 279, 330, 3983, 1584, 1, 22852, 2077, 8, 6013, 311, 37140, 323, 11054, 1268, 279, 22852, 2077, 14117, 389, 872, 6371, 13, 1102, 6656, 704, 430, 994, 15246, 311, 459, 47288, 39535, 11, 1403, 31322, 24717, 527, 22756, 304, 18563, 764, 1154, 25291, 1198, 96811, 323, 20747, 5977, 37140, 13, 4314, 828, 649, 13893, 387, 5505, 304, 279, 6514, 315, 9572, 11, 439, 17550, 15449, 315, 18563, 764, 1154, 690, 20259, 279, 22852, 2077, 315, 279, 47120, 304, 279, 4465, 2403, 264, 36254, 13, 578, 3135, 1051, 4756, 304, 279, 8486, 12371, 25111, 55103, 612, 71881, 42811, 627, 20122, 22761, 1154, 527, 279, 7917, 8647, 369, 1343, 351, 511, 16820, 10934, 1198, 814, 12602, 24032, 11, 279, 5710, 7917, 8625, 323, 1023, 7362, 19252, 13, 1115, 374, 279, 1176, 1584, 315, 9232, 315, 22852, 1887, 13, 7648, 18563, 764, 1154, 527, 14454, 505, 6680, 1647, 57878, 11, 902, 304, 2543, 1782, 304, 279, 2237, 315, 1403, 28896, 389, 872, 7479, 25, 11325, 975, 323, 11325, 845, 13, 30070, 1457, 11, 433, 574, 539, 3967, 1268, 18563, 764, 1154, 14592, 505, 279, 1403, 1455, 25685, 4595, 315, 1647, 57878, 1198, 2663, 11325, 975, 10, 1677, 57878, 323, 11325, 845, 10, 1677, 57878, 12, 6961, 311, 37140, 13, 432, 4760, 45, 3907, 6160, 22012, 617, 11054, 1521, 12062, 627, 23912, 49264, 11, 4315, 279, 4756, 828, 11, 1070, 374, 32367, 912, 2038, 922, 279, 15449, 315, 18563, 764, 1154, 12457, 505, 11325, 975, 10, 1677, 57878, 323, 11325, 845, 10, 1677, 57878, 13, 2684, 617, 1193, 1027, 3892, 4756, 4375, 29329, 311, 279, 463, 67595, 83245, 315, 3823, 18563, 764, 1154, 449, 29865, 96157, 70504, 6371, 13, 7648, 828, 14592, 505, 8814, 4211, 13, 1226, 6773, 311, 5266, 420, 13225, 323, 7142, 1268, 18563, 764, 1154, 12457, 505, 11325, 975, 10, 323, 11325, 845, 10, 1677, 57878, 527, 22756, 10246, 15000, 2259, 88252, 3919, 587, 12949, 11, 30661, 11, 8483, 261, 11, 13235, 12371, 52536, 32184, 11, 432, 4760, 45, 3907, 198, 791, 44540, 389, 279, 7479, 315, 18563, 764, 1154, 14085, 11, 369, 3187, 11, 311, 19588, 28765, 1065, 582, 1799, 3422, 320, 43, 5119, 8, 1198, 279, 1925, 3777, 315, 45964, 79348, 13, 432, 4760, 45, 3907, 6160, 22012, 1511, 6680, 10688, 505, 4848, 9498, 3278, 20330, 220, 1627, 311, 220, 1958, 1667, 323, 25181, 11325, 975, 10, 1677, 57878, 323, 11325, 845, 10, 1677, 57878, 505, 279, 6680, 1701, 24924, 25768, 13, 5112, 279, 1647, 57878, 1051, 330, 42286, 1, 1139, 18563, 764, 1154, 482, 555, 52129, 449, 3361, 60038, 9547, 13, 7553, 22761, 1154, 12457, 505, 2204, 4595, 315, 1647, 57878, 1051, 38126, 311, 445, 5119, 323, 30239, 1701, 6530, 79909, 7133, 11, 6367, 638, 11, 36815, 3151, 323, 5541, 3151, 6492, 627, 791, 3135, 21091, 430, 11, 95052, 11, 279, 8776, 13096, 315, 18563, 764, 1154, 1139, 463, 67595, 323, 7294, 67595, 374, 539, 5115, 4495, 1198, 814, 3480, 872, 5865, 11911, 389, 279, 14932, 4787, 13, 432, 4760, 45, 3907, 6160, 22012, 1101, 1766, 704, 430, 18563, 764, 1154, 14592, 505, 11325, 975, 10, 1677, 57878, 527, 810, 38097, 311, 264, 463, 67595, 2077, 13, 23260, 79909, 7133, 8710, 430, 1521, 18563, 764, 1154, 6925, 27985, 810, 11325, 4218, 13128, 11, 902, 374, 8647, 369, 279, 15449, 315, 350, 12, 398, 56102, 57878, 1198, 1023, 7917, 315, 279, 22852, 2077, 13, 2468, 279, 1890, 892, 11, 6367, 638, 6492, 8710, 430, 18563, 764, 1154, 14592, 505, 11325, 975, 10, 1677, 57878, 513, 9537, 810, 463, 67595, 323, 7294, 67595, 83185, 483, 35715, 627, 9673, 3135, 649, 387, 1511, 304, 279, 3938, 369, 279, 6514, 315, 78970, 5848, 19338, 13, 578, 2144, 374, 430, 463, 67595, 18563, 764, 1154, 527, 3025, 311, 4465, 56071, 13, 393, 16671, 279, 1455, 14791, 1647, 57878, 315, 279, 8893, 320, 6620, 975, 477, 11325, 845, 705, 13353, 1124, 1139, 463, 67595, 18563, 764, 1154, 323, 43929, 287, 1124, 1203, 311, 279, 36254, 11, 832, 649, 51077, 279, 47120, 596, 4465, 2403, 9572, 7917, 627, 10227, 1401, 4360, 374, 279, 5873, 315, 1647, 79759, 27084, 369, 4726, 37471, 3851, 315, 18563, 764, 1154, 13, 14636, 11, 18563, 764, 1154, 12457, 505, 2204, 22673, 315, 3823, 1647, 57878, 527, 13893, 9959, 369, 2849, 15419, 304, 1162, 315, 94329, 78970, 5848, 19338, 498, 1071, 3735, 2259, 88252, 3919, 587, 12949, 11, 30661, 11, 32185, 520, 13235, 12371, 52536, 32184, 520, 432, 4760, 45, 3907, 627, 53, 819, 3919, 587, 12949, 11, 393, 2637, 1880, 453, 13, 320, 2366, 16, 8, 578, 2077, 315, 1403, 25685, 1647, 79759, 75605, 311, 37140, 13, 12371, 25111, 55103, 612, 71881, 42811, 13, 36995, 2726, 14, 605, 13, 4645, 21, 4537, 53602, 454, 4317, 13, 2366, 16, 13, 5037, 22638, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]
[ 128000, 48, 25, 5377, 94597, 449, 5256, 46539, 11102, 389, 57707, 445, 18314, 358, 2846, 4560, 311, 636, 5377, 94597, 389, 445, 18314, 311, 990, 449, 5256, 46539, 13, 358, 617, 264, 80606, 220, 1032, 5780, 902, 358, 2846, 1701, 439, 264, 3016, 369, 7649, 13, 2100, 3117, 279, 80606, 3016, 374, 32003, 279, 364, 3875, 6, 34959, 304, 611, 12380, 14, 39765, 14263, 994, 358, 1456, 311, 4667, 1701, 68859, 1874, 13, 578, 3016, 6944, 311, 4667, 311, 220, 6804, 13, 15, 13, 15, 13, 16, 25, 20422, 1524, 422, 358, 14158, 482, 39, 27221, 2690, 1129, 4120, 2710, 389, 994, 1701, 68859, 1874, 13, 611, 12380, 14, 39765, 14263, 389, 279, 3016, 5780, 374, 304, 3941, 220, 14870, 627, 4071, 1524, 994, 358, 1456, 21583, 24392, 505, 459, 30330, 3882, 11, 358, 1518, 6103, 1093, 420, 512, 39765, 646, 76466, 15678, 3104, 28561, 646, 25, 3053, 956, 3729, 57479, 3622, 10505, 16, 340, 55611, 4295, 757, 449, 264, 31089, 14034, 11, 628, 89, 627, 4387, 25, 499, 2011, 1005, 41058, 39765, 1310, 369, 5110, 1778, 439, 364, 3875, 24482, 13699, 11, 358, 1120, 1511, 308, 2235, 2403, 279, 68859, 3622, 323, 433, 8710, 220, 22422, 323, 220, 20422, 304, 459, 1825, 1614, 627, 8586, 596, 1148, 24370, 311, 4264, 994, 358, 1456, 311, 4667, 449, 11, 68859, 1874, 220, 482, 34636, 1389, 87, 220, 22796, 1735, 1058, 28, 3849, 8296, 482, 67, 482, 16, 271, 39765, 8827, 198, 39765, 62778, 33665, 646, 198, 39765, 62778, 33665, 198, 39765, 13877, 16186, 8052, 198, 39765, 6046, 16245, 220, 16, 220, 16, 220, 15, 198, 39765, 4132, 11563, 16245, 198, 39765, 16096, 2401, 13144, 25, 27754, 220, 5926, 13, 8953, 13, 605, 13, 3174, 25, 22422, 198, 39765, 6046, 20125, 25, 220, 18, 198, 39765, 48560, 20125, 25, 220, 18, 198, 39765, 16096, 2401, 13144, 25, 50958, 220, 5926, 13, 8953, 13, 605, 13, 3174, 25, 22422, 198, 39765, 623, 9907, 16096, 25, 12696, 25, 220, 18, 17784, 25, 482, 16, 3393, 25, 220, 15, 198, 39765, 11563, 8001, 5259, 25, 6992, 198, 39765, 13877, 12284, 8052, 198, 655, 646, 21019, 9055, 9657, 275, 8, 10418, 512, 655, 18800, 25, 6745, 28, 15, 87, 24, 86860, 2042, 23, 10295, 28, 15, 87, 24, 86860, 2042, 23, 842, 28, 15, 87, 24, 86860, 634, 22, 2479, 28, 2148, 198, 220, 220, 931, 15, 25, 220, 220, 966, 220, 16, 67, 220, 2437, 220, 1721, 220, 1721, 220, 2813, 220, 972, 220, 1490, 220, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 1927, 220, 17, 68, 220, 2148, 256, 220, 15, 1975, 86, 1131, 16, 13, 18, 13, 21, 13, 16, 2355, 220, 220, 4119, 15, 25, 220, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 2148, 220, 1958, 220, 1927, 220, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 1644, 220, 1806, 415, 662, 19, 13, 16, 13, 10465, 21, 13, 1049, 1806, 5996, 655, 646, 21019, 9055, 9657, 8, 10418, 512, 655, 18800, 25, 6745, 28, 15, 87, 24, 86860, 2042, 23, 10295, 28, 15, 87, 24, 86860, 2042, 67, 842, 28, 15, 87, 24, 86860, 634, 22, 2479, 28, 1627, 198, 220, 220, 931, 15, 25, 220, 220, 2813, 220, 972, 220, 1490, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 220, 1927, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 256, 289, 1131, 16, 13, 18, 13, 21, 13, 16, 13, 19, 13, 16, 13, 2355, 220, 220, 4119, 15, 25, 220, 220, 2148, 220, 1958, 220, 1927, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 220, 1644, 220, 1806, 3909, 220, 10465, 21, 13, 1049, 1806, 1827, 655, 40313, 17, 25, 220, 2148, 5943, 311, 21231, 220, 18, 198, 220, 220, 931, 15, 25, 220, 220, 966, 220, 16, 67, 220, 2437, 220, 1721, 220, 1721, 220, 2813, 220, 972, 220, 1490, 220, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 1927, 220, 17, 68, 220, 2148, 256, 220, 15, 1975, 86, 1131, 16, 13, 18, 13, 21, 13, 16, 2355, 220, 220, 4119, 15, 25, 220, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 2148, 220, 1958, 220, 1927, 220, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 1644, 220, 1806, 415, 662, 19, 13, 16, 13, 10465, 21, 13, 1049, 1806, 5996, 39765, 9344, 25, 1390, 28, 2148, 11, 5439, 28, 2148, 198, 220, 220, 931, 15, 25, 220, 220, 966, 220, 16, 67, 220, 2437, 220, 1721, 220, 1721, 220, 2813, 220, 972, 220, 1490, 220, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 1927, 220, 17, 68, 220, 2148, 256, 220, 15, 1975, 86, 1131, 16, 13, 18, 13, 21, 13, 16, 2355, 220, 220, 4119, 15, 25, 220, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 2148, 220, 1958, 220, 1927, 220, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 1644, 220, 1806, 415, 662, 19, 13, 16, 13, 10465, 21, 13, 1049, 1806, 5996, 39765, 5400, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 198, 11748, 19, 3316, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 320, 258, 26806, 9829, 340, 11748, 19, 3316, 3136, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 682, 220, 16, 198, 334, 27221, 220, 15, 87, 24, 9117, 13364, 15, 67052, 512, 9, 3552, 25, 220, 5926, 13, 8953, 13, 605, 13, 3174, 220, 2700, 25, 220, 22422, 220, 320, 2309, 340, 220, 2098, 16232, 25, 220, 17, 220, 2704, 25, 50586, 198, 220, 1566, 1511, 25, 8219, 12044, 220, 220, 21, 220, 717, 25, 4370, 25, 2304, 220, 679, 15, 1432, 334, 27221, 220, 15, 87, 24, 9117, 13364, 15, 76441, 51982, 512, 353, 120707, 220, 16, 11, 220, 2780, 307, 220, 16, 11, 2704, 763, 9685, 198, 256, 19310, 70401, 220, 15, 11, 2748, 1797, 220, 15, 198, 220, 27221, 220, 15, 87, 24, 9117, 13364, 15, 1715, 1797, 220, 16, 320, 370, 91244, 220, 15, 340, 334, 27221, 220, 15, 87, 24, 9117, 13364, 15, 6075, 19267, 512, 256, 23020, 198, 220, 27221, 220, 15, 87, 24, 9117, 13364, 15, 2077, 1797, 220, 15, 198, 39765, 65773, 2647, 861, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 682, 220, 16, 198, 39765, 65773, 2647, 861, 4780, 27221, 220, 15, 87, 24, 9117, 13364, 15, 1808, 198, 39765, 4132, 13350, 198, 888, 16, 3316, 25, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 682, 220, 16, 198, 655, 3138, 11507, 198, 39765, 6579, 25, 1390, 28, 23, 11, 2751, 28, 15, 271, 655, 3138, 11507, 4745, 627, 39765, 9450, 17, 928, 198, 39765, 5011, 72362, 25, 3053, 956, 3729, 57479, 3622, 10505, 16, 3707, 32, 25, 555, 1670, 11, 279, 3016, 12621, 369, 279, 3622, 596, 2847, 13, 4702, 923, 330, 46539, 31856, 90531, 2646, 1, 311, 611, 12380, 38744, 39765, 14, 39765, 14263, 271, 32, 25, 358, 3077, 9152, 311, 636, 26384, 3318, 449, 17216, 2599, 35, 389, 445, 18314, 6051, 13, 6104, 358, 656, 539, 6227, 7041, 1148, 358, 1550, 11, 358, 656, 19635, 433, 3515, 2555, 311, 656, 449, 279, 6811, 304, 272, 83177, 1990, 42102, 1406, 7416, 323, 30941, 23416, 13, 578, 17216, 2599, 35, 14519, 369, 445, 18314, 1051, 20276, 2403, 42102, 1406, 7416, 13, 34351, 617, 2555, 311, 656, 449, 420, 382, 32, 25, 1102, 5992, 1093, 433, 649, 956, 1373, 279, 1401, 1052, 13, 220, 1472, 1288, 617, 459, 653, 3918, 291, 1401, 13, 220, 2758, 1825, 39765, 311, 279, 34637, 62134, 1912, 13, 220, 7557, 279, 1912, 389, 279, 1401, 34637, 62134, 323, 279, 8709, 220, 14868, 13, 220, 578, 81833, 274, 8342, 3290, 649, 387, 1511, 311, 7542, 56126, 4819, 382, 32, 25, 9934, 3815, 264, 523, 785, 1825, 39765, 25, 2569, 39765, 389, 279, 16125, 3626, 382, 32, 25, 1442, 499, 617, 459, 26384, 16125, 430, 374, 8667, 555, 459, 29539, 16125, 320, 8370, 4536, 956, 41296, 1521, 2919, 8, 499, 690, 617, 5435, 449, 42754, 304, 51152, 67, 1234, 445, 18314, 13, 1666, 9932, 555, 6705, 21152, 263, 445, 18314, 51152, 67, 7902, 449, 42102, 1406, 7416, 11, 902, 3250, 956, 1862, 682, 315, 279, 2671, 499, 1205, 627, 791, 6425, 374, 311, 1005, 279, 445, 18314, 1203, 403, 315, 51152, 67, 13, 4452, 584, 3077, 1766, 430, 279, 220, 17, 13, 19, 13, 1114, 12, 17, 13, 16, 93, 65, 5481, 1135, 10, 16, 1203, 403, 1391, 3742, 2403, 3127, 2042, 19, 13, 21, 11, 902, 706, 264, 10077, 304, 433, 430, 22223, 603, 1306, 4401, 369, 922, 264, 2046, 627, 4516, 520, 420, 1486, 358, 1541, 956, 7079, 1701, 445, 18314, 311, 1629, 51152, 67, 422, 499, 1205, 42754, 13, 41813, 311, 37663, 4619, 627, 128001, 128000, 8780, 4545, 1457, 3778, 51889, 1253, 289, 1037, 24767, 461, 304, 84625, 596, 2700, 6864, 315, 3206, 299, 20708, 449, 10373, 311, 70236, 1148, 706, 3719, 264, 28128, 8431, 4208, 449, 33318, 16296, 369, 279, 7140, 596, 220, 18, 3610, 40771, 627, 32, 43790, 56910, 315, 1917, 6164, 11, 2737, 10058, 468, 13, 14409, 11, 706, 2663, 5304, 95397, 1122, 4900, 15274, 16844, 311, 85498, 819, 11692, 315, 279, 4208, 2442, 1540, 7140, 13, 578, 1917, 4029, 374, 38650, 430, 16844, 596, 61087, 1053, 1825, 264, 3321, 315, 6776, 311, 37667, 1063, 6767, 315, 9096, 369, 264, 4363, 430, 706, 3967, 1193, 75568, 19858, 2391, 279, 1566, 220, 868, 1667, 627, 1688, 1176, 84625, 596, 12324, 41231, 279, 11102, 3335, 315, 11904, 958, 1356, 278, 9349, 13, 5112, 1578, 11, 420, 4410, 11904, 35335, 7140, 1101, 38119, 264, 5016, 323, 27387, 3925, 315, 11904, 24145, 55984, 1132, 292, 6037, 11, 6925, 4523, 292, 6367, 34775, 11, 64955, 86316, 11, 323, 5986, 2269, 660, 6761, 11935, 66724, 6201, 21621, 555, 3778, 110228, 17729, 1705, 13, 763, 2015, 311, 3619, 1148, 279, 51889, 690, 13123, 994, 814, 3094, 24767, 461, 11, 264, 2697, 2317, 690, 10552, 3249, 420, 12324, 20639, 16152, 311, 11, 3686, 25291, 42590, 1438, 11, 279, 74746, 315, 11904, 40489, 25981, 627, 43, 8799, 689, 35483, 1202, 4033, 1614, 3925, 311, 220, 10828, 17, 994, 28634, 11904, 24145, 32760, 15644, 660, 311, 279, 4410, 11904, 80944, 13, 3296, 220, 10336, 22, 814, 39056, 264, 16812, 323, 11887, 279, 1176, 9678, 1614, 304, 2536, 6830, 51205, 5348, 10384, 13, 578, 28634, 5794, 62653, 872, 3109, 389, 279, 3723, 4273, 323, 18306, 279, 836, 84625, 11, 902, 374, 20023, 369, 330, 2050, 315, 11542, 10246, 4071, 18969, 1233, 5828, 956, 682, 814, 9687, 2391, 872, 1667, 304, 4892, 5270, 13, 578, 95397, 1122, 36330, 40317, 1051, 24306, 315, 60753, 35050, 889, 3549, 872, 7140, 439, 264, 9052, 1614, 449, 7016, 21650, 34558, 1701, 9052, 16565, 13, 4452, 11, 279, 16812, 1101, 2564, 16, 198, 39470, 264, 19084, 33215, 30, 2905, 304, 369, 2539, 7528, 2680, 627, 29673, 311, 32186, 11450, 323, 636, 2680, 311, 420, 4652, 5636, 220, 1399, 10, 1667, 315, 39104, 627, 12, 5492, 9889, 315, 19084, 14756, 198, 12, 19121, 2680, 311, 9908, 389, 32186, 15724, 916, 198, 12, 6193, 220, 4364, 1667, 315, 14756, 39104, 5636, 2539, 2680, 311, 682, 315, 19084, 753, 2930, 39104, 198, 12, 15281, 810, 128001 ]
[ -100, 48, 25, 5377, 94597, 449, 5256, 46539, 11102, 389, 57707, 445, 18314, 358, 2846, 4560, 311, 636, 5377, 94597, 389, 445, 18314, 311, 990, 449, 5256, 46539, 13, 358, 617, 264, 80606, 220, 1032, 5780, 902, 358, 2846, 1701, 439, 264, 3016, 369, 7649, 13, 2100, 3117, 279, 80606, 3016, 374, 32003, 279, 364, 3875, 6, 34959, 304, 611, 12380, 14, 39765, 14263, 994, 358, 1456, 311, 4667, 1701, 68859, 1874, 13, 578, 3016, 6944, 311, 4667, 311, 220, 6804, 13, 15, 13, 15, 13, 16, 25, 20422, 1524, 422, 358, 14158, 482, 39, 27221, 2690, 1129, 4120, 2710, 389, 994, 1701, 68859, 1874, 13, 611, 12380, 14, 39765, 14263, 389, 279, 3016, 5780, 374, 304, 3941, 220, 14870, 627, 4071, 1524, 994, 358, 1456, 21583, 24392, 505, 459, 30330, 3882, 11, 358, 1518, 6103, 1093, 420, 512, 39765, 646, 76466, 15678, 3104, 28561, 646, 25, 3053, 956, 3729, 57479, 3622, 10505, 16, 340, 55611, 4295, 757, 449, 264, 31089, 14034, 11, 628, 89, 627, 4387, 25, 499, 2011, 1005, 41058, 39765, 1310, 369, 5110, 1778, 439, 364, 3875, 24482, 13699, 11, 358, 1120, 1511, 308, 2235, 2403, 279, 68859, 3622, 323, 433, 8710, 220, 22422, 323, 220, 20422, 304, 459, 1825, 1614, 627, 8586, 596, 1148, 24370, 311, 4264, 994, 358, 1456, 311, 4667, 449, 11, 68859, 1874, 220, 482, 34636, 1389, 87, 220, 22796, 1735, 1058, 28, 3849, 8296, 482, 67, 482, 16, 271, 39765, 8827, 198, 39765, 62778, 33665, 646, 198, 39765, 62778, 33665, 198, 39765, 13877, 16186, 8052, 198, 39765, 6046, 16245, 220, 16, 220, 16, 220, 15, 198, 39765, 4132, 11563, 16245, 198, 39765, 16096, 2401, 13144, 25, 27754, 220, 5926, 13, 8953, 13, 605, 13, 3174, 25, 22422, 198, 39765, 6046, 20125, 25, 220, 18, 198, 39765, 48560, 20125, 25, 220, 18, 198, 39765, 16096, 2401, 13144, 25, 50958, 220, 5926, 13, 8953, 13, 605, 13, 3174, 25, 22422, 198, 39765, 623, 9907, 16096, 25, 12696, 25, 220, 18, 17784, 25, 482, 16, 3393, 25, 220, 15, 198, 39765, 11563, 8001, 5259, 25, 6992, 198, 39765, 13877, 12284, 8052, 198, 655, 646, 21019, 9055, 9657, 275, 8, 10418, 512, 655, 18800, 25, 6745, 28, 15, 87, 24, 86860, 2042, 23, 10295, 28, 15, 87, 24, 86860, 2042, 23, 842, 28, 15, 87, 24, 86860, 634, 22, 2479, 28, 2148, 198, 220, 220, 931, 15, 25, 220, 220, 966, 220, 16, 67, 220, 2437, 220, 1721, 220, 1721, 220, 2813, 220, 972, 220, 1490, 220, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 1927, 220, 17, 68, 220, 2148, 256, 220, 15, 1975, 86, 1131, 16, 13, 18, 13, 21, 13, 16, 2355, 220, 220, 4119, 15, 25, 220, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 2148, 220, 1958, 220, 1927, 220, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 1644, 220, 1806, 415, 662, 19, 13, 16, 13, 10465, 21, 13, 1049, 1806, 5996, 655, 646, 21019, 9055, 9657, 8, 10418, 512, 655, 18800, 25, 6745, 28, 15, 87, 24, 86860, 2042, 23, 10295, 28, 15, 87, 24, 86860, 2042, 67, 842, 28, 15, 87, 24, 86860, 634, 22, 2479, 28, 1627, 198, 220, 220, 931, 15, 25, 220, 220, 2813, 220, 972, 220, 1490, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 220, 1927, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 256, 289, 1131, 16, 13, 18, 13, 21, 13, 16, 13, 19, 13, 16, 13, 2355, 220, 220, 4119, 15, 25, 220, 220, 2148, 220, 1958, 220, 1927, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 220, 1644, 220, 1806, 3909, 220, 10465, 21, 13, 1049, 1806, 1827, 655, 40313, 17, 25, 220, 2148, 5943, 311, 21231, 220, 18, 198, 220, 220, 931, 15, 25, 220, 220, 966, 220, 16, 67, 220, 2437, 220, 1721, 220, 1721, 220, 2813, 220, 972, 220, 1490, 220, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 1927, 220, 17, 68, 220, 2148, 256, 220, 15, 1975, 86, 1131, 16, 13, 18, 13, 21, 13, 16, 2355, 220, 220, 4119, 15, 25, 220, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 2148, 220, 1958, 220, 1927, 220, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 1644, 220, 1806, 415, 662, 19, 13, 16, 13, 10465, 21, 13, 1049, 1806, 5996, 39765, 9344, 25, 1390, 28, 2148, 11, 5439, 28, 2148, 198, 220, 220, 931, 15, 25, 220, 220, 966, 220, 16, 67, 220, 2437, 220, 1721, 220, 1721, 220, 2813, 220, 972, 220, 1490, 220, 220, 845, 220, 2148, 220, 17, 68, 220, 1644, 220, 17, 68, 220, 1927, 220, 17, 68, 220, 2148, 256, 220, 15, 1975, 86, 1131, 16, 13, 18, 13, 21, 13, 16, 2355, 220, 220, 4119, 15, 25, 220, 220, 17, 68, 220, 1958, 220, 17, 68, 220, 2148, 220, 17, 68, 220, 2148, 220, 1958, 220, 1927, 220, 220, 1927, 220, 17, 68, 220, 843, 220, 966, 220, 966, 220, 1644, 220, 1806, 415, 662, 19, 13, 16, 13, 10465, 21, 13, 1049, 1806, 5996, 39765, 5400, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 198, 11748, 19, 3316, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 320, 258, 26806, 9829, 340, 11748, 19, 3316, 3136, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 682, 220, 16, 198, 334, 27221, 220, 15, 87, 24, 9117, 13364, 15, 67052, 512, 9, 3552, 25, 220, 5926, 13, 8953, 13, 605, 13, 3174, 220, 2700, 25, 220, 22422, 220, 320, 2309, 340, 220, 2098, 16232, 25, 220, 17, 220, 2704, 25, 50586, 198, 220, 1566, 1511, 25, 8219, 12044, 220, 220, 21, 220, 717, 25, 4370, 25, 2304, 220, 679, 15, 1432, 334, 27221, 220, 15, 87, 24, 9117, 13364, 15, 76441, 51982, 512, 353, 120707, 220, 16, 11, 220, 2780, 307, 220, 16, 11, 2704, 763, 9685, 198, 256, 19310, 70401, 220, 15, 11, 2748, 1797, 220, 15, 198, 220, 27221, 220, 15, 87, 24, 9117, 13364, 15, 1715, 1797, 220, 16, 320, 370, 91244, 220, 15, 340, 334, 27221, 220, 15, 87, 24, 9117, 13364, 15, 6075, 19267, 512, 256, 23020, 198, 220, 27221, 220, 15, 87, 24, 9117, 13364, 15, 2077, 1797, 220, 15, 198, 39765, 65773, 2647, 861, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 682, 220, 16, 198, 39765, 65773, 2647, 861, 4780, 27221, 220, 15, 87, 24, 9117, 13364, 15, 1808, 198, 39765, 4132, 13350, 198, 888, 16, 3316, 25, 27221, 220, 15, 87, 24, 9117, 13364, 15, 120707, 220, 16, 682, 220, 16, 198, 655, 3138, 11507, 198, 39765, 6579, 25, 1390, 28, 23, 11, 2751, 28, 15, 271, 655, 3138, 11507, 4745, 627, 39765, 9450, 17, 928, 198, 39765, 5011, 72362, 25, 3053, 956, 3729, 57479, 3622, 10505, 16, 3707, 32, 25, 555, 1670, 11, 279, 3016, 12621, 369, 279, 3622, 596, 2847, 13, 4702, 923, 330, 46539, 31856, 90531, 2646, 1, 311, 611, 12380, 38744, 39765, 14, 39765, 14263, 271, 32, 25, 358, 3077, 9152, 311, 636, 26384, 3318, 449, 17216, 2599, 35, 389, 445, 18314, 6051, 13, 6104, 358, 656, 539, 6227, 7041, 1148, 358, 1550, 11, 358, 656, 19635, 433, 3515, 2555, 311, 656, 449, 279, 6811, 304, 272, 83177, 1990, 42102, 1406, 7416, 323, 30941, 23416, 13, 578, 17216, 2599, 35, 14519, 369, 445, 18314, 1051, 20276, 2403, 42102, 1406, 7416, 13, 34351, 617, 2555, 311, 656, 449, 420, 382, 32, 25, 1102, 5992, 1093, 433, 649, 956, 1373, 279, 1401, 1052, 13, 220, 1472, 1288, 617, 459, 653, 3918, 291, 1401, 13, 220, 2758, 1825, 39765, 311, 279, 34637, 62134, 1912, 13, 220, 7557, 279, 1912, 389, 279, 1401, 34637, 62134, 323, 279, 8709, 220, 14868, 13, 220, 578, 81833, 274, 8342, 3290, 649, 387, 1511, 311, 7542, 56126, 4819, 382, 32, 25, 9934, 3815, 264, 523, 785, 1825, 39765, 25, 2569, 39765, 389, 279, 16125, 3626, 382, 32, 25, 1442, 499, 617, 459, 26384, 16125, 430, 374, 8667, 555, 459, 29539, 16125, 320, 8370, 4536, 956, 41296, 1521, 2919, 8, 499, 690, 617, 5435, 449, 42754, 304, 51152, 67, 1234, 445, 18314, 13, 1666, 9932, 555, 6705, 21152, 263, 445, 18314, 51152, 67, 7902, 449, 42102, 1406, 7416, 11, 902, 3250, 956, 1862, 682, 315, 279, 2671, 499, 1205, 627, 791, 6425, 374, 311, 1005, 279, 445, 18314, 1203, 403, 315, 51152, 67, 13, 4452, 584, 3077, 1766, 430, 279, 220, 17, 13, 19, 13, 1114, 12, 17, 13, 16, 93, 65, 5481, 1135, 10, 16, 1203, 403, 1391, 3742, 2403, 3127, 2042, 19, 13, 21, 11, 902, 706, 264, 10077, 304, 433, 430, 22223, 603, 1306, 4401, 369, 922, 264, 2046, 627, 4516, 520, 420, 1486, 358, 1541, 956, 7079, 1701, 445, 18314, 311, 1629, 51152, 67, 422, 499, 1205, 42754, 13, 41813, 311, 37663, 4619, 627, 128001, -100, 8780, 4545, 1457, 3778, 51889, 1253, 289, 1037, 24767, 461, 304, 84625, 596, 2700, 6864, 315, 3206, 299, 20708, 449, 10373, 311, 70236, 1148, 706, 3719, 264, 28128, 8431, 4208, 449, 33318, 16296, 369, 279, 7140, 596, 220, 18, 3610, 40771, 627, 32, 43790, 56910, 315, 1917, 6164, 11, 2737, 10058, 468, 13, 14409, 11, 706, 2663, 5304, 95397, 1122, 4900, 15274, 16844, 311, 85498, 819, 11692, 315, 279, 4208, 2442, 1540, 7140, 13, 578, 1917, 4029, 374, 38650, 430, 16844, 596, 61087, 1053, 1825, 264, 3321, 315, 6776, 311, 37667, 1063, 6767, 315, 9096, 369, 264, 4363, 430, 706, 3967, 1193, 75568, 19858, 2391, 279, 1566, 220, 868, 1667, 627, 1688, 1176, 84625, 596, 12324, 41231, 279, 11102, 3335, 315, 11904, 958, 1356, 278, 9349, 13, 5112, 1578, 11, 420, 4410, 11904, 35335, 7140, 1101, 38119, 264, 5016, 323, 27387, 3925, 315, 11904, 24145, 55984, 1132, 292, 6037, 11, 6925, 4523, 292, 6367, 34775, 11, 64955, 86316, 11, 323, 5986, 2269, 660, 6761, 11935, 66724, 6201, 21621, 555, 3778, 110228, 17729, 1705, 13, 763, 2015, 311, 3619, 1148, 279, 51889, 690, 13123, 994, 814, 3094, 24767, 461, 11, 264, 2697, 2317, 690, 10552, 3249, 420, 12324, 20639, 16152, 311, 11, 3686, 25291, 42590, 1438, 11, 279, 74746, 315, 11904, 40489, 25981, 627, 43, 8799, 689, 35483, 1202, 4033, 1614, 3925, 311, 220, 10828, 17, 994, 28634, 11904, 24145, 32760, 15644, 660, 311, 279, 4410, 11904, 80944, 13, 3296, 220, 10336, 22, 814, 39056, 264, 16812, 323, 11887, 279, 1176, 9678, 1614, 304, 2536, 6830, 51205, 5348, 10384, 13, 578, 28634, 5794, 62653, 872, 3109, 389, 279, 3723, 4273, 323, 18306, 279, 836, 84625, 11, 902, 374, 20023, 369, 330, 2050, 315, 11542, 10246, 4071, 18969, 1233, 5828, 956, 682, 814, 9687, 2391, 872, 1667, 304, 4892, 5270, 13, 578, 95397, 1122, 36330, 40317, 1051, 24306, 315, 60753, 35050, 889, 3549, 872, 7140, 439, 264, 9052, 1614, 449, 7016, 21650, 34558, 1701, 9052, 16565, 13, 4452, 11, 279, 16812, 1101, 2564, 16, 198, 39470, 264, 19084, 33215, 30, 2905, 304, 369, 2539, 7528, 2680, 627, 29673, 311, 32186, 11450, 323, 636, 2680, 311, 420, 4652, 5636, 220, 1399, 10, 1667, 315, 39104, 627, 12, 5492, 9889, 315, 19084, 14756, 198, 12, 19121, 2680, 311, 9908, 389, 32186, 15724, 916, 198, 12, 6193, 220, 4364, 1667, 315, 14756, 39104, 5636, 2539, 2680, 311, 682, 315, 19084, 753, 2930, 39104, 198, 12, 15281, 810, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 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 ]