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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
sequencelengths
2
4.1k
attention_mask
sequencelengths
2
4.1k
labels
sequencelengths
2
4.1k
position_ids
sequencelengths
2
4.1k
length
int64
2
4.1k
[ 128000, 1075, 720, 9, 578, 15210, 1914, 198, 5736, 9, 3028, 320, 66, 8, 220, 679, 20, 469, 8445, 877, 32740, 42735, 2198, 15259, 5712, 435, 1507, 643, 25940, 3467, 13256, 2078, 1111, 4031, 11, 30221, 11, 720, 9, 5856, 63705, 352, 198, 5736, 9, 18628, 374, 22552, 11938, 11, 1949, 315, 6900, 11, 311, 904, 1732, 19546, 198, 9, 264, 3048, 315, 420, 3241, 323, 5938, 9904, 3626, 320, 1820, 330, 19805, 4561, 9, 311, 3568, 304, 279, 4476, 2085, 20020, 11, 2737, 2085, 20893, 720, 9, 279, 3268, 311, 1005, 11, 3048, 11, 5719, 11, 11117, 11, 3498, 11, 16822, 11, 29887, 11, 720, 9, 323, 5255, 4662, 11236, 315, 279, 4476, 11, 323, 311, 11810, 11434, 311, 8884, 279, 4476, 198, 9, 374, 24330, 311, 656, 779, 11, 3917, 311, 279, 2768, 4787, 512, 5736, 9, 578, 3485, 7065, 5406, 323, 420, 8041, 5406, 4985, 387, 5343, 304, 682, 198, 9, 11236, 477, 12190, 19885, 315, 279, 4476, 627, 5736, 9, 3247, 8730, 3507, 16932, 330, 1950, 3507, 498, 6135, 8400, 3083, 4230, 9481, 11, 16832, 2794, 720, 9, 13163, 11, 16480, 11155, 4276, 13405, 5257, 3247, 7579, 3083, 8094, 11, 720, 9, 7877, 4716, 362, 7807, 7667, 3651, 29086, 13, 2006, 5782, 13032, 17095, 3247, 720, 9, 27786, 2794, 14879, 21269, 7354, 17842, 4716, 4230, 26910, 11, 16908, 2794, 10271, 720, 9, 14495, 11, 18114, 2006, 2147, 16439, 3083, 17564, 11, 18269, 2794, 18562, 11, 18008, 4393, 11, 720, 9, 10009, 3083, 2794, 2006, 24966, 4874, 3247, 8730, 2794, 3247, 9645, 2794, 10271, 29570, 2006, 3247, 720, 9, 8730, 627, 6343, 475, 1262, 73363, 1006, 359, 29100, 271, 475, 856, 8385, 354, 6309, 26546, 475, 856, 8385, 354, 6309, 1326, 16514, 53461, 26546, 475, 856, 8385, 354, 6309, 1326, 16514, 53461, 23668, 354, 33601, 460, 26546, 475, 9500, 4249, 24137, 26546, 475, 16148, 18038, 61359, 10312, 198, 475, 856, 8385, 354, 6309, 4909, 4412, 35873, 1058, 4185, 9537, 10172, 4249, 1061, 2323, 29100, 2289, 16457, 29100, 1504, 220, 18479, 711, 925, 17, 928, 23, 1161, 25, 935, 8, 284, 935, 6221, 1161, 696, 220, 1296, 446, 376, 27756, 220, 15, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 74, 1233, 72, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 74, 1233, 72, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 2290, 11, 2290, 1350, 415, 30024, 15218, 446, 69, 17, 498, 2290, 11, 2290, 340, 262, 1763, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 2075, 11, 43261, 273, 1159, 1492, 220, 15, 13, 914, 1192, 262, 1763, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 220, 557, 220, 1296, 446, 17, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 16, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 16, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 2290, 11, 2290, 1350, 415, 30024, 15218, 446, 69, 17, 498, 2290, 11, 2290, 340, 262, 1763, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 17, 498, 9500, 3151, 4812, 7, 17, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 18, 498, 9500, 3151, 4812, 7, 18, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 19, 498, 9500, 3151, 4812, 7, 19, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 20, 498, 9500, 3151, 4812, 7, 20, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 914, 11, 43261, 273, 1159, 1492, 220, 15, 13, 2075, 1192, 262, 1763, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 17, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 18, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 19, 1865, 456, 696, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 1430, 76523, 70, 788, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 16279, 4341, 70, 788, 4032, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 220, 557, 220, 1296, 446, 18, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 17, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 17, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 4427, 3269, 1604, 705, 2290, 1350, 415, 30024, 15218, 446, 69, 17, 498, 4427, 7988, 12011, 705, 2290, 1350, 415, 30024, 15218, 446, 69, 18, 498, 2290, 11, 2290, 340, 262, 1763, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 17, 498, 9500, 3151, 4812, 7, 17, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 18, 498, 9500, 3151, 4812, 7, 18, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 19, 498, 9500, 3151, 4812, 7, 19, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 20, 498, 9500, 3151, 4812, 7, 20, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 1192, 262, 5235, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 17, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 18, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 19, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 20, 1865, 456, 696, 220, 557, 220, 1296, 446, 1647, 71017, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 4427, 3269, 1604, 705, 4427, 7, 16, 7110, 415, 30024, 15218, 446, 69, 17, 498, 4427, 7988, 12011, 705, 2290, 1350, 415, 30024, 15218, 446, 69, 18, 498, 2290, 11, 2290, 340, 262, 5235, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 17, 498, 9500, 3151, 4812, 7, 17, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 18, 498, 9500, 3151, 4812, 7, 18, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 19, 498, 9500, 3151, 4812, 7, 19, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 20, 498, 9500, 3151, 4812, 7, 20, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 1192, 262, 5235, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 7081, 28290, 609, 624, 330, 5544, 16, 2830, 7, 9810, 1725, 7081, 28290, 609, 624, 330, 5544, 16, 5572, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 17, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 18, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 19, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 1430, 76523, 70, 788, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 16279, 4341, 70, 788, 4050, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 16279, 4341, 70, 788, 4032, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 18, 498, 330, 5544, 16, 1865, 456, 696, 220, 557, 220, 1296, 446, 32, 15, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 19, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 19, 4875, 1865, 51274, 340, 262, 29739, 58, 50376, 9725, 4944, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 1192, 220, 557, 220, 1296, 446, 6966, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 20, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 20, 4875, 1865, 51274, 340, 262, 29739, 58, 50376, 9725, 4944, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 1192, 220, 557, 220, 1296, 446, 2293, 82423, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1179, 856, 8385, 354, 6309, 8726, 10385, 1848, 10385, 26546, 262, 1062, 24001, 284, 320, 76, 8180, 3438, 268, 22583, 17178, 10385, 1087, 2125, 37, 309, 1192, 262, 1062, 1367, 284, 4304, 91, 37, 926, 63221, 10026, 1670, 198, 338, 765, 69, 16, 220, 16, 220, 16, 220, 16, 13, 15, 198, 338, 765, 69, 17, 220, 16, 220, 17, 482, 24, 198, 338, 765, 69, 18, 220, 16, 482, 24, 482, 24, 89030, 13406, 22421, 198, 262, 2105, 2122, 26950, 2432, 50978, 340, 220, 557, 220, 1296, 446, 2293, 2472, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 24001, 284, 320, 76, 8180, 2276, 340, 262, 1062, 1367, 284, 330, 16, 10242, 16, 220, 15, 220, 16, 1734, 16, 10242, 17, 220, 15, 220, 17, 1734, 16, 10242, 18, 220, 15, 220, 18, 1734, 16, 10242, 19, 220, 15, 220, 19, 1734, 16, 10242, 20, 220, 15, 220, 20, 1734, 702, 262, 2105, 2122, 26950, 2432, 50978, 340, 220, 557, 220, 1296, 446, 2293, 10696, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 24001, 284, 320, 76, 8180, 36294, 340, 262, 1062, 1367, 284, 4304, 91, 69, 16, 220, 16, 220, 15, 220, 15, 220, 16, 220, 16, 13, 15, 362, 350, 362, 362, 362, 362, 362, 362, 362, 362, 198, 260, 765, 69, 17, 220, 16, 220, 15, 220, 15, 220, 17, 482, 24, 362, 362, 350, 350, 350, 350, 350, 350, 350, 350, 198, 260, 765, 69, 18, 220, 16, 220, 15, 220, 15, 482, 24, 482, 24, 350, 350, 362, 350, 362, 350, 362, 350, 362, 350, 198, 260, 765, 89030, 13406, 22421, 198, 262, 2105, 2122, 26950, 2432, 50978, 340, 220, 557, 220, 1296, 446, 220, 21, 11, 1373, 11, 2085, 1755, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 21, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 21, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 696, 262, 443, 14069, 1278, 696, 220, 557, 220, 1296, 446, 888, 323, 3350, 11298, 10696, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 27178, 11448, 6879, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 27178, 11448, 6879, 4875, 1865, 51274, 340, 262, 1062, 704, 7018, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 558, 291, 1158, 262, 1062, 704, 2235, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 4875, 1158, 262, 1062, 704, 7018, 17, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 17, 558, 291, 1158, 262, 1062, 704, 2235, 17, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 17, 4875, 1158, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 696, 262, 3350, 42650, 10029, 2235, 54054, 11, 296, 8180, 2276, 340, 262, 1825, 1738, 6628, 10029, 7018, 8, 314, 7061, 6408, 415, 296, 3921, 36294, 39456, 340, 262, 457, 262, 1062, 296, 17, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 10029, 7018, 11, 704, 2235, 340, 262, 443, 296, 673, 19503, 21051, 53281, 314, 296, 16, 82, 6408, 262, 443, 256, 1062, 296, 17, 82, 284, 296, 17, 673, 19503, 47, 1278, 16, 82, 2710, 570, 456, 198, 262, 443, 256, 2105, 2122, 1278, 17, 82, 2432, 76, 16, 82, 340, 262, 443, 557, 262, 1062, 312, 2293, 284, 330, 501, 771, 1198, 1213, 330, 489, 48337, 45812, 4380, 1865, 51274, 489, 3605, 27178, 1198, 265, 1889, 1198, 3409, 3141, 1198, 412, 330, 489, 48337, 45812, 4380, 1865, 51274, 489, 3605, 27178, 17, 6360, 262, 312, 2293, 2268, 262, 2105, 2122, 5550, 4061, 9370, 10029, 7018, 17, 54054, 29254, 456, 4061, 9370, 1319, 291, 54054, 1192, 262, 2105, 2122, 5550, 4061, 9370, 10029, 2235, 17, 54054, 29254, 456, 4061, 9370, 9325, 54054, 4489, 220, 457, 92, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1075, 720, 9, 578, 15210, 1914, 198, 5736, 9, 3028, 320, 66, 8, 220, 679, 20, 469, 8445, 877, 32740, 42735, 2198, 15259, 5712, 435, 1507, 643, 25940, 3467, 13256, 2078, 1111, 4031, 11, 30221, 11, 720, 9, 5856, 63705, 352, 198, 5736, 9, 18628, 374, 22552, 11938, 11, 1949, 315, 6900, 11, 311, 904, 1732, 19546, 198, 9, 264, 3048, 315, 420, 3241, 323, 5938, 9904, 3626, 320, 1820, 330, 19805, 4561, 9, 311, 3568, 304, 279, 4476, 2085, 20020, 11, 2737, 2085, 20893, 720, 9, 279, 3268, 311, 1005, 11, 3048, 11, 5719, 11, 11117, 11, 3498, 11, 16822, 11, 29887, 11, 720, 9, 323, 5255, 4662, 11236, 315, 279, 4476, 11, 323, 311, 11810, 11434, 311, 8884, 279, 4476, 198, 9, 374, 24330, 311, 656, 779, 11, 3917, 311, 279, 2768, 4787, 512, 5736, 9, 578, 3485, 7065, 5406, 323, 420, 8041, 5406, 4985, 387, 5343, 304, 682, 198, 9, 11236, 477, 12190, 19885, 315, 279, 4476, 627, 5736, 9, 3247, 8730, 3507, 16932, 330, 1950, 3507, 498, 6135, 8400, 3083, 4230, 9481, 11, 16832, 2794, 720, 9, 13163, 11, 16480, 11155, 4276, 13405, 5257, 3247, 7579, 3083, 8094, 11, 720, 9, 7877, 4716, 362, 7807, 7667, 3651, 29086, 13, 2006, 5782, 13032, 17095, 3247, 720, 9, 27786, 2794, 14879, 21269, 7354, 17842, 4716, 4230, 26910, 11, 16908, 2794, 10271, 720, 9, 14495, 11, 18114, 2006, 2147, 16439, 3083, 17564, 11, 18269, 2794, 18562, 11, 18008, 4393, 11, 720, 9, 10009, 3083, 2794, 2006, 24966, 4874, 3247, 8730, 2794, 3247, 9645, 2794, 10271, 29570, 2006, 3247, 720, 9, 8730, 627, 6343, 475, 1262, 73363, 1006, 359, 29100, 271, 475, 856, 8385, 354, 6309, 26546, 475, 856, 8385, 354, 6309, 1326, 16514, 53461, 26546, 475, 856, 8385, 354, 6309, 1326, 16514, 53461, 23668, 354, 33601, 460, 26546, 475, 9500, 4249, 24137, 26546, 475, 16148, 18038, 61359, 10312, 198, 475, 856, 8385, 354, 6309, 4909, 4412, 35873, 1058, 4185, 9537, 10172, 4249, 1061, 2323, 29100, 2289, 16457, 29100, 1504, 220, 18479, 711, 925, 17, 928, 23, 1161, 25, 935, 8, 284, 935, 6221, 1161, 696, 220, 1296, 446, 376, 27756, 220, 15, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 74, 1233, 72, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 74, 1233, 72, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 2290, 11, 2290, 1350, 415, 30024, 15218, 446, 69, 17, 498, 2290, 11, 2290, 340, 262, 1763, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 2075, 11, 43261, 273, 1159, 1492, 220, 15, 13, 914, 1192, 262, 1763, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 220, 557, 220, 1296, 446, 17, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 16, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 16, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 2290, 11, 2290, 1350, 415, 30024, 15218, 446, 69, 17, 498, 2290, 11, 2290, 340, 262, 1763, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 17, 498, 9500, 3151, 4812, 7, 17, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 18, 498, 9500, 3151, 4812, 7, 18, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 19, 498, 9500, 3151, 4812, 7, 19, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 20, 498, 9500, 3151, 4812, 7, 20, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 914, 11, 43261, 273, 1159, 1492, 220, 15, 13, 2075, 1192, 262, 1763, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 17, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 18, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 19, 1865, 456, 696, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 1430, 76523, 70, 788, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 16279, 4341, 70, 788, 4032, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 220, 557, 220, 1296, 446, 18, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 17, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 17, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 4427, 3269, 1604, 705, 2290, 1350, 415, 30024, 15218, 446, 69, 17, 498, 4427, 7988, 12011, 705, 2290, 1350, 415, 30024, 15218, 446, 69, 18, 498, 2290, 11, 2290, 340, 262, 1763, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 17, 498, 9500, 3151, 4812, 7, 17, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 18, 498, 9500, 3151, 4812, 7, 18, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 19, 498, 9500, 3151, 4812, 7, 19, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 20, 498, 9500, 3151, 4812, 7, 20, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 1192, 262, 5235, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 17, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 18, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 19, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 20, 1865, 456, 696, 220, 557, 220, 1296, 446, 1647, 71017, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 3352, 284, 2638, 1021, 415, 30024, 15218, 446, 69, 16, 498, 4427, 3269, 1604, 705, 4427, 7, 16, 7110, 415, 30024, 15218, 446, 69, 17, 498, 4427, 7988, 12011, 705, 2290, 1350, 415, 30024, 15218, 446, 69, 18, 498, 2290, 11, 2290, 340, 262, 5235, 262, 1062, 4224, 1725, 284, 2638, 1021, 415, 445, 3466, 1061, 446, 5544, 16, 498, 9500, 3151, 4812, 7, 16, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 17, 498, 9500, 3151, 4812, 7, 17, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 18, 498, 9500, 3151, 4812, 7, 18, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 19, 498, 9500, 3151, 4812, 7, 19, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 7110, 415, 445, 3466, 1061, 446, 5544, 20, 498, 9500, 3151, 4812, 7, 20, 11, 330, 16, 4063, 24676, 7, 71551, 273, 1596, 11, 43261, 273, 1159, 705, 1796, 7, 71551, 273, 1596, 1492, 220, 15, 13, 20, 11, 43261, 273, 1159, 1492, 220, 15, 13, 20, 1192, 262, 5235, 262, 2105, 2122, 1278, 673, 86245, 2432, 4781, 340, 262, 2105, 2122, 1278, 673, 19503, 21051, 7081, 28290, 609, 624, 330, 5544, 16, 2830, 7, 9810, 1725, 7081, 28290, 609, 624, 330, 5544, 16, 5572, 262, 2105, 2122, 1278, 673, 19503, 21051, 2432, 9810, 1725, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 17, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 18, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 19, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 16, 2432, 76, 38288, 446, 69, 16, 498, 330, 5544, 20, 1865, 456, 340, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 17, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 11135, 16279, 4341, 70, 788, 17, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 17, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 18, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 19, 1865, 456, 340, 262, 2105, 2122, 11135, 1430, 76523, 70, 788, 2432, 76, 38288, 446, 69, 18, 498, 330, 5544, 20, 1865, 456, 696, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 1430, 76523, 70, 788, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 16, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 16279, 4341, 70, 788, 4050, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 17, 498, 330, 5544, 16, 1865, 456, 340, 262, 2105, 2122, 7, 4944, 9537, 10172, 22583, 3924, 16279, 4341, 70, 788, 4032, 2432, 76, 38288, 2409, 1079, 1002, 1271, 58124, 446, 69, 18, 498, 330, 5544, 16, 1865, 456, 696, 220, 557, 220, 1296, 446, 32, 15, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 19, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 19, 4875, 1865, 51274, 340, 262, 29739, 58, 50376, 9725, 4944, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 1192, 220, 557, 220, 1296, 446, 6966, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 20, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 20, 4875, 1865, 51274, 340, 262, 29739, 58, 50376, 9725, 4944, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 1192, 220, 557, 220, 1296, 446, 2293, 82423, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1179, 856, 8385, 354, 6309, 8726, 10385, 1848, 10385, 26546, 262, 1062, 24001, 284, 320, 76, 8180, 3438, 268, 22583, 17178, 10385, 1087, 2125, 37, 309, 1192, 262, 1062, 1367, 284, 4304, 91, 37, 926, 63221, 10026, 1670, 198, 338, 765, 69, 16, 220, 16, 220, 16, 220, 16, 13, 15, 198, 338, 765, 69, 17, 220, 16, 220, 17, 482, 24, 198, 338, 765, 69, 18, 220, 16, 482, 24, 482, 24, 89030, 13406, 22421, 198, 262, 2105, 2122, 26950, 2432, 50978, 340, 220, 557, 220, 1296, 446, 2293, 2472, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 24001, 284, 320, 76, 8180, 2276, 340, 262, 1062, 1367, 284, 330, 16, 10242, 16, 220, 15, 220, 16, 1734, 16, 10242, 17, 220, 15, 220, 17, 1734, 16, 10242, 18, 220, 15, 220, 18, 1734, 16, 10242, 19, 220, 15, 220, 19, 1734, 16, 10242, 20, 220, 15, 220, 20, 1734, 702, 262, 2105, 2122, 26950, 2432, 50978, 340, 220, 557, 220, 1296, 446, 2293, 10696, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 18, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 340, 262, 1062, 24001, 284, 320, 76, 8180, 36294, 340, 262, 1062, 1367, 284, 4304, 91, 69, 16, 220, 16, 220, 15, 220, 15, 220, 16, 220, 16, 13, 15, 362, 350, 362, 362, 362, 362, 362, 362, 362, 362, 198, 260, 765, 69, 17, 220, 16, 220, 15, 220, 15, 220, 17, 482, 24, 362, 362, 350, 350, 350, 350, 350, 350, 350, 350, 198, 260, 765, 69, 18, 220, 16, 220, 15, 220, 15, 482, 24, 482, 24, 350, 350, 362, 350, 362, 350, 362, 350, 362, 350, 198, 260, 765, 89030, 13406, 22421, 198, 262, 2105, 2122, 26950, 2432, 50978, 340, 220, 557, 220, 1296, 446, 220, 21, 11, 1373, 11, 2085, 1755, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 21, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 21, 4875, 1865, 51274, 340, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 696, 262, 443, 14069, 1278, 696, 220, 557, 220, 1296, 446, 888, 323, 3350, 11298, 10696, 909, 341, 262, 1062, 10696, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 27178, 11448, 6879, 558, 291, 1865, 51274, 340, 262, 1062, 2472, 284, 502, 1674, 4340, 8744, 40878, 45812, 446, 4469, 354, 33601, 460, 14, 27178, 11448, 6879, 4875, 1865, 51274, 340, 262, 1062, 704, 7018, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 558, 291, 1158, 262, 1062, 704, 2235, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 4875, 1158, 262, 1062, 704, 7018, 17, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 17, 558, 291, 1158, 262, 1062, 704, 2235, 17, 284, 502, 1674, 4340, 8744, 40878, 45812, 4380, 1865, 51274, 489, 3605, 27178, 17, 4875, 1158, 262, 1062, 296, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 1319, 291, 11, 2472, 696, 262, 3350, 42650, 10029, 2235, 54054, 11, 296, 8180, 2276, 340, 262, 1825, 1738, 6628, 10029, 7018, 8, 314, 7061, 6408, 415, 296, 3921, 36294, 39456, 340, 262, 457, 262, 1062, 296, 17, 284, 4185, 9537, 10172, 4249, 1061, 6521, 36294, 2276, 10029, 7018, 11, 704, 2235, 340, 262, 443, 296, 673, 19503, 21051, 53281, 314, 296, 16, 82, 6408, 262, 443, 256, 1062, 296, 17, 82, 284, 296, 17, 673, 19503, 47, 1278, 16, 82, 2710, 570, 456, 198, 262, 443, 256, 2105, 2122, 1278, 17, 82, 2432, 76, 16, 82, 340, 262, 443, 557, 262, 1062, 312, 2293, 284, 330, 501, 771, 1198, 1213, 330, 489, 48337, 45812, 4380, 1865, 51274, 489, 3605, 27178, 1198, 265, 1889, 1198, 3409, 3141, 1198, 412, 330, 489, 48337, 45812, 4380, 1865, 51274, 489, 3605, 27178, 17, 6360, 262, 312, 2293, 2268, 262, 2105, 2122, 5550, 4061, 9370, 10029, 7018, 17, 54054, 29254, 456, 4061, 9370, 1319, 291, 54054, 1192, 262, 2105, 2122, 5550, 4061, 9370, 10029, 2235, 17, 54054, 29254, 456, 4061, 9370, 9325, 54054, 4489, 220, 457, 92, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742 ]
3,743
[ 128000, 32978, 58157, 37402, 6575, 439, 459, 3158, 6783, 369, 8013, 9973, 74, 44210, 11486, 14403, 5911, 73797, 311, 2225, 20957, 323, 311, 279, 30338, 6696, 13, 11517, 323, 7043, 483, 1101, 617, 1629, 872, 1866, 65643, 312, 3329, 5089, 369, 279, 1566, 220, 1758, 1667, 11, 323, 520, 1202, 16557, 17665, 220, 4728, 10, 312, 1636, 97310, 311, 1023, 20957, 369, 25270, 627, 31082, 814, 10968, 389, 312, 3329, 220, 3101, 10, 4367, 80351, 85055, 11, 5810, 8350, 323, 61834, 97310, 1555, 311, 6381, 824, 1060, 13, 1666, 20957, 1176, 11, 420, 706, 2728, 11517, 323, 7043, 483, 9250, 20616, 323, 3217, 1139, 279, 12939, 315, 4367, 14403, 5911, 73797, 627, 4599, 31692, 20210, 44925, 1050, 501, 73797, 11, 11517, 4934, 311, 3493, 4367, 14403, 5911, 73797, 2167, 311, 20957, 323, 311, 279, 30338, 6696, 11, 430, 527, 52304, 3210, 33705, 13, 20210, 44925, 1050, 501, 73797, 527, 3025, 311, 11322, 420, 1555, 3428, 32115, 82, 323, 9333, 11626, 37682, 1109, 279, 3544, 5220, 889, 8312, 65643, 323, 39406, 14403, 5911, 73797, 627, 42562, 1291, 44925, 1050, 501, 73797, 3956, 527, 28648, 555, 5124, 8839, 304, 38915, 627, 31224, 8839, 527, 961, 315, 279, 13000, 35, 7379, 5856, 11, 279, 8706, 14290, 315, 14403, 5911, 73797, 304, 4606, 13, 1115, 12716, 279, 1455, 11084, 323, 6617, 5788, 5557, 323, 8592, 4367, 2585, 315, 7257, 7384, 627, 42562, 1291, 44925, 1050, 501, 73797, 374, 264, 7373, 12054, 4562, 315, 279, 26581, 29970, 84882, 44881, 320, 21180, 1950, 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 ]
[ 128000, 32978, 58157, 37402, 6575, 439, 459, 3158, 6783, 369, 8013, 9973, 74, 44210, 11486, 14403, 5911, 73797, 311, 2225, 20957, 323, 311, 279, 30338, 6696, 13, 11517, 323, 7043, 483, 1101, 617, 1629, 872, 1866, 65643, 312, 3329, 5089, 369, 279, 1566, 220, 1758, 1667, 11, 323, 520, 1202, 16557, 17665, 220, 4728, 10, 312, 1636, 97310, 311, 1023, 20957, 369, 25270, 627, 31082, 814, 10968, 389, 312, 3329, 220, 3101, 10, 4367, 80351, 85055, 11, 5810, 8350, 323, 61834, 97310, 1555, 311, 6381, 824, 1060, 13, 1666, 20957, 1176, 11, 420, 706, 2728, 11517, 323, 7043, 483, 9250, 20616, 323, 3217, 1139, 279, 12939, 315, 4367, 14403, 5911, 73797, 627, 4599, 31692, 20210, 44925, 1050, 501, 73797, 11, 11517, 4934, 311, 3493, 4367, 14403, 5911, 73797, 2167, 311, 20957, 323, 311, 279, 30338, 6696, 11, 430, 527, 52304, 3210, 33705, 13, 20210, 44925, 1050, 501, 73797, 527, 3025, 311, 11322, 420, 1555, 3428, 32115, 82, 323, 9333, 11626, 37682, 1109, 279, 3544, 5220, 889, 8312, 65643, 323, 39406, 14403, 5911, 73797, 627, 42562, 1291, 44925, 1050, 501, 73797, 3956, 527, 28648, 555, 5124, 8839, 304, 38915, 627, 31224, 8839, 527, 961, 315, 279, 13000, 35, 7379, 5856, 11, 279, 8706, 14290, 315, 14403, 5911, 73797, 304, 4606, 13, 1115, 12716, 279, 1455, 11084, 323, 6617, 5788, 5557, 323, 8592, 4367, 2585, 315, 7257, 7384, 627, 42562, 1291, 44925, 1050, 501, 73797, 374, 264, 7373, 12054, 4562, 315, 279, 26581, 29970, 84882, 44881, 320, 21180, 1950, 570, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248 ]
249
[ 128000, 93273, 243, 64185, 743, 25, 279, 1450, 21946, 8316, 369, 23628, 17610, 315, 2380, 9863, 320, 220, 16, 1450, 21946, 489, 220, 16, 5425, 2664, 274, 759, 301, 489, 220, 16, 1304, 5352, 9145, 7609, 578, 14791, 743, 311, 21813, 682, 315, 279, 6392, 323, 4335, 311, 1935, 555, 1648, 315, 1403, 9709, 13777, 389, 99589, 323, 264, 1317, 17308, 34647, 374, 37030, 323, 47881, 481, 304, 10494, 449, 701, 3966, 627, 93273, 243, 17300, 28392, 25, 279, 3278, 10037, 288, 743, 28648, 505, 837, 6555, 28367, 18012, 11, 27220, 323, 9966, 1450, 34303, 20659, 13, 29958, 22514, 4483, 484, 13354, 36471, 13, 2052, 279, 37182, 527, 29921, 88233, 304, 7701, 85837, 6761, 12035, 13, 13625, 9699, 86721, 389, 279, 15821, 369, 4839, 7296, 627, 93273, 243, 27428, 535, 4754, 25, 279, 17966, 53101, 649, 7937, 264, 384, 2363, 11, 81813, 11, 3169, 273, 11, 48998, 13, 15774, 220, 17, 5774, 56952, 288, 369, 279, 55043, 12102, 11, 29247, 11, 4641, 11, 39881, 11, 323, 220, 16, 10521, 18301, 369, 4868, 315, 701, 7039, 11, 74683, 11, 323, 779, 389, 13, 578, 8579, 5425, 2664, 274, 759, 301, 9145, 649, 2489, 264, 30278, 11, 29247, 11, 5099, 13, 578, 1304, 5352, 9145, 649, 5052, 19289, 11, 74683, 11, 323, 1690, 3885, 627, 93273, 243, 29228, 1404, 25, 279, 53101, 3160, 25, 326, 61759, 13, 220, 19, 22308, 9, 294, 4330, 13, 21594, 863, 9, 305, 220, 806, 22308, 1174, 279, 5425, 2664, 9145, 25, 326, 220, 605, 13, 220, 17, 22308, 9, 305, 220, 22, 13, 220, 16, 22308, 9, 294, 220, 17, 13, 220, 22, 22308, 3922, 1820, 1304, 5352, 9145, 25, 326, 220, 22, 13, 220, 4044, 22308, 9, 305, 220, 20, 13, 220, 717, 22308, 662, 578, 15696, 374, 10728, 439, 264, 1648, 311, 20599, 449, 499, 13, 578, 53101, 369, 23628, 374, 539, 8987, 323, 4036, 1431, 35406, 2288, 1790, 3634, 627, 93273, 243, 45007, 8352, 22698, 25, 26861, 53101, 743, 2955, 389, 701, 7446, 990, 11, 20790, 11879, 11, 5944, 11, 22291, 11, 2126, 1303, 11, 23395, 11, 499, 649, 37938, 8312, 420, 1450, 21946, 439, 264, 8352, 304, 701, 23601, 11, 701, 3450, 11, 477, 701, 61450, 13, 2435, 1253, 4498, 304, 3021, 449, 433, 627, 22233, 704, 326, 25415, 706, 1027, 12514, 311, 24038, 24724, 323, 734, 750, 6319, 61649, 369, 1855, 6444, 13, 1226, 7079, 11670, 2191, 11, 64543, 11, 323, 357, 16468, 1918, 315, 1057, 18381, 529, 2955, 323, 15266, 311, 3493, 279, 1579, 22867, 11761, 4774, 627, 376, 3988, 6319, 11, 14791, 1427, 13, 763, 912, 1648, 4974, 315, 11401, 13, 1102, 5764, 1690, 27230, 12, 18004, 11, 3776, 11, 79365, 11, 6411, 11, 4251, 13, 1472, 649, 6651, 323, 2489, 433, 3235, 449, 701, 18254, 11401, 28403, 323, 433, 690, 2216, 10824, 3235, 449, 701, 28403, 627, 40967, 4979, 555, 3445, 315, 9501, 289, 5518, 2949, 279, 35358, 311, 5376, 279, 7626, 2136, 323, 39665, 13, 578, 17308, 34647, 374, 54891, 323, 37030, 13, 220, 393, 70053, 69861, 22722, 627, 1820, 5740, 86721, 315, 279, 23628, 1450, 21946, 6276, 279, 9145, 311, 31889, 555, 1701, 5196, 779, 420, 1450, 370, 70, 13912, 279, 14791, 6211, 2744, 627, 275, 374, 264, 24674, 3118, 369, 264, 15553, 11, 22310, 11, 1062, 27970, 753, 1938, 11, 3450, 753, 1938, 11, 54302, 11, 502, 1060, 477, 904, 1023, 14880, 13402, 627, 2727, 40412, 555, 1701, 1450, 11, 1070, 374, 4762, 220, 16, 12, 17, 6358, 19179, 21294, 627, 28753, 315, 12062, 4315, 4264, 5039, 11, 1972, 28601, 649, 1101, 13592, 10284, 505, 6945, 627, 69, 8958, 481, 1579, 13368, 2955, 374, 2133, 29921, 449, 904, 28403, 304, 904, 4455, 1093, 36692, 11, 20790, 11, 5133, 11, 1475, 1938, 11, 7364, 11, 7926, 499, 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 ]
[ 128000, 93273, 243, 64185, 743, 25, 279, 1450, 21946, 8316, 369, 23628, 17610, 315, 2380, 9863, 320, 220, 16, 1450, 21946, 489, 220, 16, 5425, 2664, 274, 759, 301, 489, 220, 16, 1304, 5352, 9145, 7609, 578, 14791, 743, 311, 21813, 682, 315, 279, 6392, 323, 4335, 311, 1935, 555, 1648, 315, 1403, 9709, 13777, 389, 99589, 323, 264, 1317, 17308, 34647, 374, 37030, 323, 47881, 481, 304, 10494, 449, 701, 3966, 627, 93273, 243, 17300, 28392, 25, 279, 3278, 10037, 288, 743, 28648, 505, 837, 6555, 28367, 18012, 11, 27220, 323, 9966, 1450, 34303, 20659, 13, 29958, 22514, 4483, 484, 13354, 36471, 13, 2052, 279, 37182, 527, 29921, 88233, 304, 7701, 85837, 6761, 12035, 13, 13625, 9699, 86721, 389, 279, 15821, 369, 4839, 7296, 627, 93273, 243, 27428, 535, 4754, 25, 279, 17966, 53101, 649, 7937, 264, 384, 2363, 11, 81813, 11, 3169, 273, 11, 48998, 13, 15774, 220, 17, 5774, 56952, 288, 369, 279, 55043, 12102, 11, 29247, 11, 4641, 11, 39881, 11, 323, 220, 16, 10521, 18301, 369, 4868, 315, 701, 7039, 11, 74683, 11, 323, 779, 389, 13, 578, 8579, 5425, 2664, 274, 759, 301, 9145, 649, 2489, 264, 30278, 11, 29247, 11, 5099, 13, 578, 1304, 5352, 9145, 649, 5052, 19289, 11, 74683, 11, 323, 1690, 3885, 627, 93273, 243, 29228, 1404, 25, 279, 53101, 3160, 25, 326, 61759, 13, 220, 19, 22308, 9, 294, 4330, 13, 21594, 863, 9, 305, 220, 806, 22308, 1174, 279, 5425, 2664, 9145, 25, 326, 220, 605, 13, 220, 17, 22308, 9, 305, 220, 22, 13, 220, 16, 22308, 9, 294, 220, 17, 13, 220, 22, 22308, 3922, 1820, 1304, 5352, 9145, 25, 326, 220, 22, 13, 220, 4044, 22308, 9, 305, 220, 20, 13, 220, 717, 22308, 662, 578, 15696, 374, 10728, 439, 264, 1648, 311, 20599, 449, 499, 13, 578, 53101, 369, 23628, 374, 539, 8987, 323, 4036, 1431, 35406, 2288, 1790, 3634, 627, 93273, 243, 45007, 8352, 22698, 25, 26861, 53101, 743, 2955, 389, 701, 7446, 990, 11, 20790, 11879, 11, 5944, 11, 22291, 11, 2126, 1303, 11, 23395, 11, 499, 649, 37938, 8312, 420, 1450, 21946, 439, 264, 8352, 304, 701, 23601, 11, 701, 3450, 11, 477, 701, 61450, 13, 2435, 1253, 4498, 304, 3021, 449, 433, 627, 22233, 704, 326, 25415, 706, 1027, 12514, 311, 24038, 24724, 323, 734, 750, 6319, 61649, 369, 1855, 6444, 13, 1226, 7079, 11670, 2191, 11, 64543, 11, 323, 357, 16468, 1918, 315, 1057, 18381, 529, 2955, 323, 15266, 311, 3493, 279, 1579, 22867, 11761, 4774, 627, 376, 3988, 6319, 11, 14791, 1427, 13, 763, 912, 1648, 4974, 315, 11401, 13, 1102, 5764, 1690, 27230, 12, 18004, 11, 3776, 11, 79365, 11, 6411, 11, 4251, 13, 1472, 649, 6651, 323, 2489, 433, 3235, 449, 701, 18254, 11401, 28403, 323, 433, 690, 2216, 10824, 3235, 449, 701, 28403, 627, 40967, 4979, 555, 3445, 315, 9501, 289, 5518, 2949, 279, 35358, 311, 5376, 279, 7626, 2136, 323, 39665, 13, 578, 17308, 34647, 374, 54891, 323, 37030, 13, 220, 393, 70053, 69861, 22722, 627, 1820, 5740, 86721, 315, 279, 23628, 1450, 21946, 6276, 279, 9145, 311, 31889, 555, 1701, 5196, 779, 420, 1450, 370, 70, 13912, 279, 14791, 6211, 2744, 627, 275, 374, 264, 24674, 3118, 369, 264, 15553, 11, 22310, 11, 1062, 27970, 753, 1938, 11, 3450, 753, 1938, 11, 54302, 11, 502, 1060, 477, 904, 1023, 14880, 13402, 627, 2727, 40412, 555, 1701, 1450, 11, 1070, 374, 4762, 220, 16, 12, 17, 6358, 19179, 21294, 627, 28753, 315, 12062, 4315, 4264, 5039, 11, 1972, 28601, 649, 1101, 13592, 10284, 505, 6945, 627, 69, 8958, 481, 1579, 13368, 2955, 374, 2133, 29921, 449, 904, 28403, 304, 904, 4455, 1093, 36692, 11, 20790, 11, 5133, 11, 1475, 1938, 11, 7364, 11, 7926, 499, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622 ]
623
[ 128000, 32, 1162, 4007, 315, 264, 744, 507, 595, 14028, 369, 264, 2800, 3158, 304, 35195, 430, 32839, 77681, 449, 1579, 17808, 21577, 323, 1579, 15055, 315, 8834, 627, 99654, 3135, 2561, 5304, 1715, 627, 791, 744, 507, 595, 14028, 32839, 279, 77681, 5108, 505, 264, 6962, 8216, 323, 1403, 15926, 13, 59193, 617, 9193, 1579, 17808, 21577, 323, 1579, 15055, 315, 8834, 430, 733, 1139, 279, 513, 27330, 1887, 627, 34160, 311, 7347, 3634, 11, 279, 1887, 5829, 832, 2849, 4619, 315, 5361, 13, 1115, 374, 17427, 555, 958, 75, 4628, 279, 21844, 38139, 8869, 595, 25669, 292, 7123, 13, 1666, 16475, 311, 3515, 832, 8312, 13961, 5510, 682, 315, 279, 7123, 11, 420, 1887, 5829, 220, 18, 2204, 8312, 32275, 11, 1855, 26040, 1475, 220, 18, 6634, 2872, 627, 2028, 6276, 961, 315, 279, 1887, 311, 387, 2231, 311, 2800, 2085, 3515, 311, 9495, 1523, 279, 4553, 2849, 369, 264, 4261, 315, 892, 627, 2028, 374, 264, 2800, 3009, 1022, 9909, 11130, 27834, 220, 1272, 704, 315, 35195, 4409, 430, 706, 1403, 15926, 439, 1664, 439, 264, 6962, 8216, 323, 5829, 459, 958, 75, 4535, 744, 507, 595, 311, 4322, 279, 1579, 17808, 323, 8834, 21577, 3118, 304, 279, 77681, 5108, 505, 279, 4857, 627, 791, 744, 507, 595, 374, 53580, 555, 264, 6156, 6514, 13, 23886, 77681, 374, 14890, 304, 264, 220, 966, 11, 13655, 445, 63471, 23709, 1405, 264, 3544, 13651, 315, 279, 50127, 527, 7108, 13, 74062, 279, 63471, 23709, 279, 77681, 28555, 1139, 264, 53226, 8216, 323, 374, 62454, 1139, 264, 220, 1927, 11, 1041, 445, 513, 27330, 13192, 19167, 449, 264, 864, 5428, 430, 6276, 279, 21765, 315, 3805, 13, 28468, 279, 513, 27330, 13192, 279, 77681, 62849, 1139, 13931, 439, 279, 50127, 2273, 311, 279, 1948, 323, 279, 82486, 19868, 311, 279, 5740, 315, 279, 13192, 627, 791, 513, 27330, 13192, 3369, 57167, 28555, 1139, 264, 53226, 8216, 1405, 433, 374, 1243, 62454, 1139, 279, 744, 507, 4682, 578, 6300, 734, 315, 279, 744, 507, 595, 14117, 389, 264, 14113, 8141, 315, 77681, 1990, 279, 21844, 38139, 8869, 595, 25669, 292, 13961, 7123, 13, 1115, 374, 17427, 449, 1057, 12310, 40090, 3402, 472, 684, 744, 13, 1115, 3577, 324, 1534, 1887, 26420, 430, 682, 315, 279, 7123, 315, 32275, 527, 42147, 17665, 449, 77681, 449, 2753, 1109, 264, 220, 17, 4, 6811, 1990, 279, 7123, 627, 2028, 958, 75, 4535, 744, 507, 595, 5829, 220, 16, 958, 75, 4535, 2849, 315, 220, 2137, 7123, 315, 220, 20, 21844, 38139, 8869, 595, 25669, 292, 320, 70268, 8, 32275, 369, 264, 2860, 315, 220, 6280, 32275, 13, 578, 77681, 28555, 3235, 279, 3160, 315, 279, 39941, 7123, 1405, 433, 374, 12020, 555, 24032, 5496, 304, 279, 39941, 32275, 323, 304, 279, 4141, 9462, 2391, 279, 98835, 1920, 627, 791, 12020, 3090, 374, 14268, 2867, 323, 1949, 315, 25793, 627, 1383, 1701, 264, 744, 507, 595, 279, 3016, 27024, 3300, 304, 279, 1317, 4751, 13, 362, 744, 507, 595, 7194, 17715, 279, 1890, 439, 264, 21349, 1887, 11, 719, 706, 264, 61961, 315, 927, 220, 966, 1667, 13, 1221, 44322, 45218, 649, 1212, 311, 3775, 1306, 220, 868, 1667, 1524, 422, 814, 527, 12020, 1664, 13, 1221, 44322, 6067, 527, 6847, 272, 25909, 4245, 311, 279, 3544, 15055, 315, 17808, 5030, 323, 8834, 430, 29933, 279, 1887, 505, 15926, 13, 578, 744, 507, 595, 706, 912, 3575, 27723, 1521, 33155, 627, 791, 12020, 3090, 9564, 744, 507, 595, 389, 5578, 706, 220, 605, 13, 20, 87, 2753, 22024, 2114, 20, 11, 220, 22, 13, 18, 87, 2753, 350, 1242, 323, 220, 2491, 13, 21, 87, 2753, 55061, 278, 1400, 7398, 1109, 264, 21349, 14028, 13, 578, 6514, 1920, 315, 264, 21349, 14028, 13980, 304, 279, 10068, 17614, 11, 1418, 744, 507, 595, 32839, 279, 77681, 2949, 279, 1887, 11, 22973, 279, 10068, 17614, 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 ]
[ 128000, 32, 1162, 4007, 315, 264, 744, 507, 595, 14028, 369, 264, 2800, 3158, 304, 35195, 430, 32839, 77681, 449, 1579, 17808, 21577, 323, 1579, 15055, 315, 8834, 627, 99654, 3135, 2561, 5304, 1715, 627, 791, 744, 507, 595, 14028, 32839, 279, 77681, 5108, 505, 264, 6962, 8216, 323, 1403, 15926, 13, 59193, 617, 9193, 1579, 17808, 21577, 323, 1579, 15055, 315, 8834, 430, 733, 1139, 279, 513, 27330, 1887, 627, 34160, 311, 7347, 3634, 11, 279, 1887, 5829, 832, 2849, 4619, 315, 5361, 13, 1115, 374, 17427, 555, 958, 75, 4628, 279, 21844, 38139, 8869, 595, 25669, 292, 7123, 13, 1666, 16475, 311, 3515, 832, 8312, 13961, 5510, 682, 315, 279, 7123, 11, 420, 1887, 5829, 220, 18, 2204, 8312, 32275, 11, 1855, 26040, 1475, 220, 18, 6634, 2872, 627, 2028, 6276, 961, 315, 279, 1887, 311, 387, 2231, 311, 2800, 2085, 3515, 311, 9495, 1523, 279, 4553, 2849, 369, 264, 4261, 315, 892, 627, 2028, 374, 264, 2800, 3009, 1022, 9909, 11130, 27834, 220, 1272, 704, 315, 35195, 4409, 430, 706, 1403, 15926, 439, 1664, 439, 264, 6962, 8216, 323, 5829, 459, 958, 75, 4535, 744, 507, 595, 311, 4322, 279, 1579, 17808, 323, 8834, 21577, 3118, 304, 279, 77681, 5108, 505, 279, 4857, 627, 791, 744, 507, 595, 374, 53580, 555, 264, 6156, 6514, 13, 23886, 77681, 374, 14890, 304, 264, 220, 966, 11, 13655, 445, 63471, 23709, 1405, 264, 3544, 13651, 315, 279, 50127, 527, 7108, 13, 74062, 279, 63471, 23709, 279, 77681, 28555, 1139, 264, 53226, 8216, 323, 374, 62454, 1139, 264, 220, 1927, 11, 1041, 445, 513, 27330, 13192, 19167, 449, 264, 864, 5428, 430, 6276, 279, 21765, 315, 3805, 13, 28468, 279, 513, 27330, 13192, 279, 77681, 62849, 1139, 13931, 439, 279, 50127, 2273, 311, 279, 1948, 323, 279, 82486, 19868, 311, 279, 5740, 315, 279, 13192, 627, 791, 513, 27330, 13192, 3369, 57167, 28555, 1139, 264, 53226, 8216, 1405, 433, 374, 1243, 62454, 1139, 279, 744, 507, 4682, 578, 6300, 734, 315, 279, 744, 507, 595, 14117, 389, 264, 14113, 8141, 315, 77681, 1990, 279, 21844, 38139, 8869, 595, 25669, 292, 13961, 7123, 13, 1115, 374, 17427, 449, 1057, 12310, 40090, 3402, 472, 684, 744, 13, 1115, 3577, 324, 1534, 1887, 26420, 430, 682, 315, 279, 7123, 315, 32275, 527, 42147, 17665, 449, 77681, 449, 2753, 1109, 264, 220, 17, 4, 6811, 1990, 279, 7123, 627, 2028, 958, 75, 4535, 744, 507, 595, 5829, 220, 16, 958, 75, 4535, 2849, 315, 220, 2137, 7123, 315, 220, 20, 21844, 38139, 8869, 595, 25669, 292, 320, 70268, 8, 32275, 369, 264, 2860, 315, 220, 6280, 32275, 13, 578, 77681, 28555, 3235, 279, 3160, 315, 279, 39941, 7123, 1405, 433, 374, 12020, 555, 24032, 5496, 304, 279, 39941, 32275, 323, 304, 279, 4141, 9462, 2391, 279, 98835, 1920, 627, 791, 12020, 3090, 374, 14268, 2867, 323, 1949, 315, 25793, 627, 1383, 1701, 264, 744, 507, 595, 279, 3016, 27024, 3300, 304, 279, 1317, 4751, 13, 362, 744, 507, 595, 7194, 17715, 279, 1890, 439, 264, 21349, 1887, 11, 719, 706, 264, 61961, 315, 927, 220, 966, 1667, 13, 1221, 44322, 45218, 649, 1212, 311, 3775, 1306, 220, 868, 1667, 1524, 422, 814, 527, 12020, 1664, 13, 1221, 44322, 6067, 527, 6847, 272, 25909, 4245, 311, 279, 3544, 15055, 315, 17808, 5030, 323, 8834, 430, 29933, 279, 1887, 505, 15926, 13, 578, 744, 507, 595, 706, 912, 3575, 27723, 1521, 33155, 627, 791, 12020, 3090, 9564, 744, 507, 595, 389, 5578, 706, 220, 605, 13, 20, 87, 2753, 22024, 2114, 20, 11, 220, 22, 13, 18, 87, 2753, 350, 1242, 323, 220, 2491, 13, 21, 87, 2753, 55061, 278, 1400, 7398, 1109, 264, 21349, 14028, 13, 578, 6514, 1920, 315, 264, 21349, 14028, 13980, 304, 279, 10068, 17614, 11, 1418, 744, 507, 595, 32839, 279, 77681, 2949, 279, 1887, 11, 22973, 279, 10068, 17614, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639 ]
640
[ 128000, 16397, 459, 7274, 449, 10836, 4783, 11, 4140, 315, 47494, 20514, 10058, 432, 2056, 13, 11826, 1071, 430, 568, 4934, 4783, 315, 279, 16537, 311, 3240, 2391, 279, 31402, 315, 6342, 23720, 2701, 64, 727, 82, 279, 63798, 4008, 859, 627, 4599, 4691, 922, 279, 37554, 11429, 1903, 2391, 279, 4216, 4500, 315, 4783, 315, 279, 16537, 11, 11826, 1071, 279, 8706, 832, 574, 1405, 311, 3240, 279, 3446, 13, 6785, 612, 20671, 11, 279, 2363, 430, 54473, 35, 374, 30464, 505, 11, 6137, 449, 362, 797, 263, 753, 62366, 315, 4410, 6398, 13, 362, 797, 263, 753, 26419, 9778, 6244, 45619, 439, 1664, 11, 449, 872, 1866, 11774, 323, 2410, 28970, 627, 16397, 1521, 4216, 20954, 11, 902, 6137, 439, 3117, 1203, 439, 220, 679, 22, 4184, 311, 11826, 11, 1690, 315, 279, 16483, 4934, 311, 10536, 1022, 4783, 315, 279, 16537, 3010, 1243, 279, 9251, 315, 220, 4645, 13, 3861, 7061, 4934, 279, 3446, 311, 3240, 449, 279, 4648, 315, 362, 34893, 18925, 1910, 11, 1418, 2500, 4934, 311, 1825, 449, 7811, 727, 82, 529, 4648, 13, 11826, 11, 18182, 11, 4934, 311, 1212, 279, 1501, 682, 279, 1648, 1203, 304, 279, 6278, 315, 279, 31402, 315, 6342, 23720, 2701, 64, 727, 82, 529, 220, 2131, 4771, 31402, 627, 2746, 11826, 753, 3197, 574, 2231, 1139, 2035, 11, 1070, 1436, 617, 1027, 264, 2539, 3280, 1603, 584, 1524, 2751, 311, 279, 4455, 315, 3280, 220, 16, 13, 3161, 43978, 24450, 311, 1421, 12114, 279, 1957, 71004, 21261, 315, 4140, 315, 47494, 11, 433, 753, 16358, 279, 1501, 6236, 5079, 1051, 3025, 311, 1304, 264, 2539, 3280, 430, 753, 10213, 6642, 627, 29707, 315, 279, 16537, 3280, 220, 16, 374, 2561, 1457, 389, 43978, 7639, 627, 67288, 374, 40991, 220, 19, 5672, 17111, 612, 20671, 6296, 4783, 315, 279, 16537, 25, 20421, 220, 605, 11, 330, 791, 5348, 16657, 702, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 16397, 459, 7274, 449, 10836, 4783, 11, 4140, 315, 47494, 20514, 10058, 432, 2056, 13, 11826, 1071, 430, 568, 4934, 4783, 315, 279, 16537, 311, 3240, 2391, 279, 31402, 315, 6342, 23720, 2701, 64, 727, 82, 279, 63798, 4008, 859, 627, 4599, 4691, 922, 279, 37554, 11429, 1903, 2391, 279, 4216, 4500, 315, 4783, 315, 279, 16537, 11, 11826, 1071, 279, 8706, 832, 574, 1405, 311, 3240, 279, 3446, 13, 6785, 612, 20671, 11, 279, 2363, 430, 54473, 35, 374, 30464, 505, 11, 6137, 449, 362, 797, 263, 753, 62366, 315, 4410, 6398, 13, 362, 797, 263, 753, 26419, 9778, 6244, 45619, 439, 1664, 11, 449, 872, 1866, 11774, 323, 2410, 28970, 627, 16397, 1521, 4216, 20954, 11, 902, 6137, 439, 3117, 1203, 439, 220, 679, 22, 4184, 311, 11826, 11, 1690, 315, 279, 16483, 4934, 311, 10536, 1022, 4783, 315, 279, 16537, 3010, 1243, 279, 9251, 315, 220, 4645, 13, 3861, 7061, 4934, 279, 3446, 311, 3240, 449, 279, 4648, 315, 362, 34893, 18925, 1910, 11, 1418, 2500, 4934, 311, 1825, 449, 7811, 727, 82, 529, 4648, 13, 11826, 11, 18182, 11, 4934, 311, 1212, 279, 1501, 682, 279, 1648, 1203, 304, 279, 6278, 315, 279, 31402, 315, 6342, 23720, 2701, 64, 727, 82, 529, 220, 2131, 4771, 31402, 627, 2746, 11826, 753, 3197, 574, 2231, 1139, 2035, 11, 1070, 1436, 617, 1027, 264, 2539, 3280, 1603, 584, 1524, 2751, 311, 279, 4455, 315, 3280, 220, 16, 13, 3161, 43978, 24450, 311, 1421, 12114, 279, 1957, 71004, 21261, 315, 4140, 315, 47494, 11, 433, 753, 16358, 279, 1501, 6236, 5079, 1051, 3025, 311, 1304, 264, 2539, 3280, 430, 753, 10213, 6642, 627, 29707, 315, 279, 16537, 3280, 220, 16, 374, 2561, 1457, 389, 43978, 7639, 627, 67288, 374, 40991, 220, 19, 5672, 17111, 612, 20671, 6296, 4783, 315, 279, 16537, 25, 20421, 220, 605, 11, 330, 791, 5348, 16657, 702, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312 ]
313
[ 128000, 6600, 4798, 315, 279, 2998, 3306, 4234, 5380, 93702, 13533, 95389, 11904, 1274, 1253, 387, 28016, 389, 800, 13, 74565, 753, 17019, 10951, 11, 1457, 91772, 369, 19913, 10632, 627, 58127, 85138, 11, 11911, 389, 889, 499, 2610, 11, 4097, 28830, 53210, 13, 4427, 1253, 1440, 9784, 17135, 459, 23651, 1534, 4430, 315, 549, 815, 13, 60290, 13, 26080, 1253, 1440, 83052, 9511, 10536, 19471, 291, 60290, 10707, 588, 14800, 13, 7570, 17162, 4461, 1440, 430, 422, 31727, 1639, 4500, 315, 17019, 10951, 11, 1405, 4072, 52409, 301, 83052, 3131, 24026, 11, 13980, 1243, 502, 19913, 10632, 1253, 56444, 3823, 8625, 11, 653, 47462, 62281, 11, 323, 1023, 36136, 505, 95389, 11904, 1274, 889, 12439, 11, 10278, 3093, 323, 4461, 824, 3384, 389, 279, 13218, 627, 16187, 369, 40271, 17019, 11, 279, 6498, 60753, 8391, 1565, 505, 1561, 4356, 889, 3131, 13234, 433, 323, 1455, 315, 800, 13, 74565, 11, 17019, 10951, 15812, 3221, 279, 7011, 12341, 300, 11188, 13, 1102, 7739, 961, 315, 94425, 36259, 10951, 11, 1202, 13240, 220, 5332, 27464, 54368, 291, 304, 35908, 75, 627, 59204, 304, 220, 10861, 19, 477, 220, 10861, 21, 11, 40271, 17019, 3010, 7882, 311, 800, 13, 74565, 439, 264, 1716, 369, 990, 13, 10180, 264, 13515, 3010, 11, 568, 6137, 6696, 449, 279, 3363, 13, 18056, 568, 12263, 1561, 4356, 11, 4987, 13030, 323, 32777, 11, 17019, 18908, 22423, 520, 813, 83052, 4072, 52409, 301, 3156, 568, 8636, 1070, 304, 220, 11128, 15, 627, 6719, 52409, 301, 11, 902, 3445, 1054, 1820, 13863, 863, 477, 1054, 1820, 41245, 569, 2476, 40373, 52322, 922, 17019, 13, 763, 1202, 35309, 1316, 11, 83052, 9511, 388, 9124, 31550, 1208, 38477, 85138, 11, 1023, 60290, 323, 1054, 35264, 14362, 392, 2476, 459, 56461, 43450, 627, 2028, 1584, 13633, 304, 279, 6790, 220, 9674, 19, 14002, 315, 33107, 753, 1561, 45434, 22168, 24895, 264, 5944, 28523, 2663, 279, 1054, 791, 38050, 4409, 863, 555, 279, 7061, 1221, 1333, 45406, 22096, 47400, 942, 11, 889, 12688, 291, 304, 800, 13, 74565, 323, 6267, 922, 17019, 10951, 627, 2173, 3388, 11, 28289, 18561, 6136, 811, 1550, 539, 1629, 5694, 13, 2998, 3306, 4234, 11904, 1274, 11, 323, 7170, 17962, 3149, 7665, 1274, 323, 17439, 17118, 3778, 1274, 11, 17665, 279, 9511, 11, 8994, 1207, 2442, 51172, 8798, 323, 5326, 315, 50600, 19338, 13, 1442, 5384, 12249, 753, 892, 16430, 2001, 430, 17019, 753, 41245, 569, 1047, 24026, 369, 220, 1272, 1667, 555, 279, 892, 5384, 12249, 12263, 2001, 5762, 837, 11, 1243, 17019, 1053, 617, 9749, 4072, 52409, 301, 2212, 220, 10005, 15, 627, 2170, 84126, 3907, 44068, 22195, 11680, 388, 6267, 304, 1077, 2363, 5348, 13581, 304, 15506, 9784, 11, 17019, 11784, 1054, 3646, 315, 279, 11904, 40260, 32760, 9879, 863, 304, 9784, 1990, 220, 10005, 17, 323, 220, 10967, 18, 13, 11680, 388, 1101, 10555, 44810, 7576, 315, 1521, 1054, 53605, 15557, 863, 311, 9784, 627, 3198, 1870, 11, 279, 3335, 374, 503, 20450, 13, 3861, 649, 2980, 3508, 279, 53336, 488, 315, 17019, 753, 836, 477, 813, 15637, 315, 2911, 17051, 4330, 11, 8223, 323, 11888, 374, 810, 52329, 13, 12220, 420, 4261, 11, 17019, 374, 279, 10212, 6506, 315, 810, 1109, 220, 1041, 11904, 1274, 627, 32, 220, 4468, 17, 16125, 25012, 17019, 10951, 389, 279, 5165, 8618, 315, 51887, 45836, 8667, 555, 24245, 1050, 392, 258, 21069, 365, 13, 45890, 12899, 279, 15182, 11054, 279, 2816, 439, 9784, 753, 1176, 19087, 10707, 588, 627, 56441, 1884, 7576, 11, 3582, 11, 279, 9784, 6439, 323, 282, 988, 315, 1521, 11904, 1274, 374, 25420, 13, 3161, 33251, 304, 279, 5439, 323, 69637, 7576, 11, 1063, 800, 13, 74565, 11062, 617, 11084, 13042, 28948, 323, 62281, 635, 5201, 6105, 304, 1862, 315, 47995, 279, 80637, 15324, 3424, 627, 7009, 3987, 3363, 7510, 11, 264, 879, 4363, 8281, 323, 264, 3682, 2162, 16131, 690, 2980, 3508, 25912, 50256, 11682, 690, 1121, 422, 279, 4029, 1389, 11223, 719, 36218, 2001, 374, 20968, 389, 279, 13218, 627, 9673, 11062, 6056, 46643, 315, 17019, 10951, 439, 459, 39211, 30450, 323, 57340, 5199, 2816, 13, 2435, 3987, 311, 31740, 27927, 57193, 35954, 323, 6677, 315, 4754, 11682, 4500, 1436, 5353, 13, 2468, 279, 1890, 892, 11, 814, 527, 16614, 311, 539, 75387, 449, 279, 16131, 753, 5226, 2728, 9784, 73139, 529, 26314, 304, 264, 44632, 1162, 6931, 420, 1060, 430, 264, 36504, 12434, 380, 34908, 1077, 1949, 8982, 3268, 323, 38484, 80617, 264, 16131, 753, 3568, 627, 626, 13, 74565, 11062, 31033, 8270, 323, 12565, 52034, 8326, 617, 4529, 4040, 2802, 304, 17019, 10951, 753, 13042, 46643, 13, 578, 12502, 11, 22311, 69692, 9304, 315, 19152, 45724, 57098, 323, 6267, 264, 1495, 2663, 1054, 65641, 10951, 753, 41143, 24561, 25, 362, 47317, 753, 70288, 389, 3639, 1226, 15948, 2057, 61789, 863, 311, 6179, 279, 4029, 627, 791, 990, 27053, 4747, 430, 4500, 315, 17019, 10951, 1253, 34143, 268, 94700, 12, 261, 4058, 13, 1054, 2460, 5596, 863, 315, 800, 13, 74565, 3925, 1054, 548, 28390, 315, 1694, 3309, 11, 15324, 11, 323, 34683, 2476, 8270, 1071, 627, 4071, 11, 1405, 30, 13440, 95389, 11904, 1274, 8636, 389, 17019, 10951, 323, 11, 422, 779, 11, 279, 834, 28536, 315, 872, 13162, 11, 22020, 37683, 8013, 323, 15506, 39510, 13, 18766, 9784, 2383, 1101, 3727, 19705, 369, 3738, 3823, 55763, 6732, 627, 644, 5348, 13581, 11, 11680, 388, 6267, 430, 1063, 15506, 51971, 304, 800, 13, 74565, 11846, 6498, 60753, 2191, 1054, 13885, 1599, 863, 95389, 66738, 13, 3005, 1101, 11497, 430, 1063, 5348, 51971, 1436, 387, 28016, 304, 51115, 800, 13, 74565, 753, 59602, 316, 4428, 59404, 11, 1405, 15506, 11, 9709, 7102, 323, 1023, 51971, 1051, 3629, 28016, 627, 9241, 11, 1243, 11, 1053, 11904, 11, 42644, 2756, 1534, 11, 95389, 9511, 388, 369, 17019, 387, 28016, 5380, 32, 220, 1049, 16, 33269, 13042, 5211, 15813, 555, 39211, 22012, 41184, 393, 13, 5929, 323, 22770, 423, 13, 20442, 65, 2154, 7633, 1521, 27302, 520, 17019, 10951, 439, 1054, 1820, 41582, 311, 279, 3131, 41792, 1403, 46199, 1080, 54506, 9998, 3838, 315, 40271, 17019, 2029, 6104, 814, 27470, 1054, 2445, 22688, 37739, 34751, 863, 5938, 449, 264, 35977, 20985, 22423, 11, 279, 3813, 315, 904, 32760, 7951, 10522, 8625, 9987, 627, 7009, 10212, 5410, 1054, 695, 13654, 863, 7504, 369, 1521, 13124, 315, 13042, 41300, 315, 3424, 11, 2737, 9302, 24481, 369, 7479, 8625, 26, 264, 37538, 93091, 9976, 7561, 59520, 10795, 311, 8417, 279, 13112, 315, 3823, 30747, 4028, 279, 3158, 26, 323, 7649, 315, 45215, 660, 8316, 627, 22818, 4072, 52409, 301, 753, 11026, 315, 5784, 1234, 17019, 11, 2737, 994, 279, 83052, 84312, 264, 5068, 220, 18, 11, 931, 15196, 19087, 12690, 11, 323, 9511, 388, 3984, 6625, 59721, 315, 11822, 11, 1054, 15031, 510, 729, 75, 4234, 11904, 1274, 60, 22225, 2011, 617, 8636, 1070, 2476, 8270, 323, 52034, 8326, 6267, 627, 62804, 897, 16549, 323, 800, 13, 74565, 10068, 2947, 15605, 362, 13, 40034, 706, 46029, 60089, 32313, 315, 94425, 36259, 10951, 323, 5596, 315, 17019, 10951, 13, 40034, 13605, 264, 5647, 430, 11904, 7951, 10522, 1051, 3284, 389, 17019, 10951, 11, 90761, 555, 15325, 11774, 315, 11311, 627, 15546, 1253, 387, 1070, 5380, 791, 220, 1049, 16, 5929, 323, 20442, 65, 2154, 1934, 12090, 17019, 1234, 76833, 279, 1396, 315, 95389, 66738, 389, 813, 83052, 323, 9408, 279, 13336, 315, 9709, 3880, 580, 17019, 76951, 8625, 389, 17019, 10951, 627, 1383, 220, 11128, 15, 11, 40271, 17019, 11, 889, 9749, 4072, 52409, 301, 11, 8636, 13, 9393, 17019, 8636, 304, 11897, 11, 813, 12675, 11, 902, 5343, 95389, 11904, 1274, 11, 574, 21852, 291, 311, 27651, 66599, 11, 439, 11680, 388, 6267, 627, 29174, 11, 1054, 12840, 6244, 315, 279, 83052, 323, 1202, 75772, 863, 1306, 40271, 17019, 34688, 14639, 82, 7555, 11, 21077, 11, 8636, 11, 1054, 285, 50801, 9987, 2476, 5929, 323, 20442, 65, 2154, 6267, 627, 27849, 11, 1364, 93469, 11, 1053, 1101, 3493, 430, 422, 95389, 66738, 2001, 889, 11, 1093, 17019, 11, 1051, 60753, 323, 539, 16879, 2001, 8636, 389, 4072, 52409, 301, 430, 814, 1053, 539, 617, 1027, 7263, 555, 15688, 505, 17019, 10951, 369, 55763, 304, 51115, 800, 13, 74565, 627, 4071, 45813, 11311, 1053, 1397, 810, 1355, 5237, 4633, 660, 8990, 13, 1054, 40, 649, 1431, 2019, 1070, 753, 904, 832, 1732, 889, 706, 15203, 1475, 17560, 315, 430, 3424, 2476, 40034, 1071, 627, 4516, 11, 527, 95389, 11904, 1274, 304, 11, 389, 11, 477, 2212, 17019, 10951, 30, 8886, 17019, 49446, 11, 1949, 9709, 3880, 580, 1274, 315, 1933, 11, 28016, 1070, 30, 3639, 1457, 5380, 791, 4409, 315, 800, 13, 74565, 11, 1614, 315, 9784, 323, 3907, 315, 9784, 617, 1054, 46696, 311, 2294, 29416, 304, 30164, 70800, 311, 21813, 279, 3925, 863, 315, 800, 13, 74565, 11, 264, 2035, 1054, 906, 682, 3021, 779, 1790, 2476, 8270, 323, 52034, 8326, 6267, 627, 23025, 70800, 9124, 69692, 51887, 800, 13, 74565, 4953, 13, 320, 21180, 39, 7934, 570, 763, 1202, 9908, 315, 88465, 11, 279, 2536, 28926, 11725, 46643, 11, 35093, 323, 13709, 315, 1054, 44541, 950, 863, 61024, 11, 6732, 323, 8625, 304, 279, 800, 13, 74565, 3158, 439, 8125, 369, 1202, 14209, 13, 3011, 36330, 2246, 4726, 5825, 430, 69692, 39, 7934, 1253, 1054, 82, 98148, 11, 4933, 11, 4287, 323, 5371, 863, 25076, 11, 21258, 323, 1023, 3424, 311, 1862, 13042, 323, 69637, 46643, 304, 323, 2212, 800, 13, 74565, 627, 22818, 17019, 10951, 753, 3813, 304, 323, 26431, 311, 800, 13, 74565, 11, 11175, 315, 420, 8815, 18911, 264, 3361, 6776, 13, 578, 1890, 90203, 113588, 430, 9124, 69692, 39, 7934, 1436, 61871, 1202, 7100, 11, 20207, 323, 5054, 5070, 311, 463, 3018, 16614, 27548, 311, 4500, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 6600, 4798, 315, 279, 2998, 3306, 4234, 5380, 93702, 13533, 95389, 11904, 1274, 1253, 387, 28016, 389, 800, 13, 74565, 753, 17019, 10951, 11, 1457, 91772, 369, 19913, 10632, 627, 58127, 85138, 11, 11911, 389, 889, 499, 2610, 11, 4097, 28830, 53210, 13, 4427, 1253, 1440, 9784, 17135, 459, 23651, 1534, 4430, 315, 549, 815, 13, 60290, 13, 26080, 1253, 1440, 83052, 9511, 10536, 19471, 291, 60290, 10707, 588, 14800, 13, 7570, 17162, 4461, 1440, 430, 422, 31727, 1639, 4500, 315, 17019, 10951, 11, 1405, 4072, 52409, 301, 83052, 3131, 24026, 11, 13980, 1243, 502, 19913, 10632, 1253, 56444, 3823, 8625, 11, 653, 47462, 62281, 11, 323, 1023, 36136, 505, 95389, 11904, 1274, 889, 12439, 11, 10278, 3093, 323, 4461, 824, 3384, 389, 279, 13218, 627, 16187, 369, 40271, 17019, 11, 279, 6498, 60753, 8391, 1565, 505, 1561, 4356, 889, 3131, 13234, 433, 323, 1455, 315, 800, 13, 74565, 11, 17019, 10951, 15812, 3221, 279, 7011, 12341, 300, 11188, 13, 1102, 7739, 961, 315, 94425, 36259, 10951, 11, 1202, 13240, 220, 5332, 27464, 54368, 291, 304, 35908, 75, 627, 59204, 304, 220, 10861, 19, 477, 220, 10861, 21, 11, 40271, 17019, 3010, 7882, 311, 800, 13, 74565, 439, 264, 1716, 369, 990, 13, 10180, 264, 13515, 3010, 11, 568, 6137, 6696, 449, 279, 3363, 13, 18056, 568, 12263, 1561, 4356, 11, 4987, 13030, 323, 32777, 11, 17019, 18908, 22423, 520, 813, 83052, 4072, 52409, 301, 3156, 568, 8636, 1070, 304, 220, 11128, 15, 627, 6719, 52409, 301, 11, 902, 3445, 1054, 1820, 13863, 863, 477, 1054, 1820, 41245, 569, 2476, 40373, 52322, 922, 17019, 13, 763, 1202, 35309, 1316, 11, 83052, 9511, 388, 9124, 31550, 1208, 38477, 85138, 11, 1023, 60290, 323, 1054, 35264, 14362, 392, 2476, 459, 56461, 43450, 627, 2028, 1584, 13633, 304, 279, 6790, 220, 9674, 19, 14002, 315, 33107, 753, 1561, 45434, 22168, 24895, 264, 5944, 28523, 2663, 279, 1054, 791, 38050, 4409, 863, 555, 279, 7061, 1221, 1333, 45406, 22096, 47400, 942, 11, 889, 12688, 291, 304, 800, 13, 74565, 323, 6267, 922, 17019, 10951, 627, 2173, 3388, 11, 28289, 18561, 6136, 811, 1550, 539, 1629, 5694, 13, 2998, 3306, 4234, 11904, 1274, 11, 323, 7170, 17962, 3149, 7665, 1274, 323, 17439, 17118, 3778, 1274, 11, 17665, 279, 9511, 11, 8994, 1207, 2442, 51172, 8798, 323, 5326, 315, 50600, 19338, 13, 1442, 5384, 12249, 753, 892, 16430, 2001, 430, 17019, 753, 41245, 569, 1047, 24026, 369, 220, 1272, 1667, 555, 279, 892, 5384, 12249, 12263, 2001, 5762, 837, 11, 1243, 17019, 1053, 617, 9749, 4072, 52409, 301, 2212, 220, 10005, 15, 627, 2170, 84126, 3907, 44068, 22195, 11680, 388, 6267, 304, 1077, 2363, 5348, 13581, 304, 15506, 9784, 11, 17019, 11784, 1054, 3646, 315, 279, 11904, 40260, 32760, 9879, 863, 304, 9784, 1990, 220, 10005, 17, 323, 220, 10967, 18, 13, 11680, 388, 1101, 10555, 44810, 7576, 315, 1521, 1054, 53605, 15557, 863, 311, 9784, 627, 3198, 1870, 11, 279, 3335, 374, 503, 20450, 13, 3861, 649, 2980, 3508, 279, 53336, 488, 315, 17019, 753, 836, 477, 813, 15637, 315, 2911, 17051, 4330, 11, 8223, 323, 11888, 374, 810, 52329, 13, 12220, 420, 4261, 11, 17019, 374, 279, 10212, 6506, 315, 810, 1109, 220, 1041, 11904, 1274, 627, 32, 220, 4468, 17, 16125, 25012, 17019, 10951, 389, 279, 5165, 8618, 315, 51887, 45836, 8667, 555, 24245, 1050, 392, 258, 21069, 365, 13, 45890, 12899, 279, 15182, 11054, 279, 2816, 439, 9784, 753, 1176, 19087, 10707, 588, 627, 56441, 1884, 7576, 11, 3582, 11, 279, 9784, 6439, 323, 282, 988, 315, 1521, 11904, 1274, 374, 25420, 13, 3161, 33251, 304, 279, 5439, 323, 69637, 7576, 11, 1063, 800, 13, 74565, 11062, 617, 11084, 13042, 28948, 323, 62281, 635, 5201, 6105, 304, 1862, 315, 47995, 279, 80637, 15324, 3424, 627, 7009, 3987, 3363, 7510, 11, 264, 879, 4363, 8281, 323, 264, 3682, 2162, 16131, 690, 2980, 3508, 25912, 50256, 11682, 690, 1121, 422, 279, 4029, 1389, 11223, 719, 36218, 2001, 374, 20968, 389, 279, 13218, 627, 9673, 11062, 6056, 46643, 315, 17019, 10951, 439, 459, 39211, 30450, 323, 57340, 5199, 2816, 13, 2435, 3987, 311, 31740, 27927, 57193, 35954, 323, 6677, 315, 4754, 11682, 4500, 1436, 5353, 13, 2468, 279, 1890, 892, 11, 814, 527, 16614, 311, 539, 75387, 449, 279, 16131, 753, 5226, 2728, 9784, 73139, 529, 26314, 304, 264, 44632, 1162, 6931, 420, 1060, 430, 264, 36504, 12434, 380, 34908, 1077, 1949, 8982, 3268, 323, 38484, 80617, 264, 16131, 753, 3568, 627, 626, 13, 74565, 11062, 31033, 8270, 323, 12565, 52034, 8326, 617, 4529, 4040, 2802, 304, 17019, 10951, 753, 13042, 46643, 13, 578, 12502, 11, 22311, 69692, 9304, 315, 19152, 45724, 57098, 323, 6267, 264, 1495, 2663, 1054, 65641, 10951, 753, 41143, 24561, 25, 362, 47317, 753, 70288, 389, 3639, 1226, 15948, 2057, 61789, 863, 311, 6179, 279, 4029, 627, 791, 990, 27053, 4747, 430, 4500, 315, 17019, 10951, 1253, 34143, 268, 94700, 12, 261, 4058, 13, 1054, 2460, 5596, 863, 315, 800, 13, 74565, 3925, 1054, 548, 28390, 315, 1694, 3309, 11, 15324, 11, 323, 34683, 2476, 8270, 1071, 627, 4071, 11, 1405, 30, 13440, 95389, 11904, 1274, 8636, 389, 17019, 10951, 323, 11, 422, 779, 11, 279, 834, 28536, 315, 872, 13162, 11, 22020, 37683, 8013, 323, 15506, 39510, 13, 18766, 9784, 2383, 1101, 3727, 19705, 369, 3738, 3823, 55763, 6732, 627, 644, 5348, 13581, 11, 11680, 388, 6267, 430, 1063, 15506, 51971, 304, 800, 13, 74565, 11846, 6498, 60753, 2191, 1054, 13885, 1599, 863, 95389, 66738, 13, 3005, 1101, 11497, 430, 1063, 5348, 51971, 1436, 387, 28016, 304, 51115, 800, 13, 74565, 753, 59602, 316, 4428, 59404, 11, 1405, 15506, 11, 9709, 7102, 323, 1023, 51971, 1051, 3629, 28016, 627, 9241, 11, 1243, 11, 1053, 11904, 11, 42644, 2756, 1534, 11, 95389, 9511, 388, 369, 17019, 387, 28016, 5380, 32, 220, 1049, 16, 33269, 13042, 5211, 15813, 555, 39211, 22012, 41184, 393, 13, 5929, 323, 22770, 423, 13, 20442, 65, 2154, 7633, 1521, 27302, 520, 17019, 10951, 439, 1054, 1820, 41582, 311, 279, 3131, 41792, 1403, 46199, 1080, 54506, 9998, 3838, 315, 40271, 17019, 2029, 6104, 814, 27470, 1054, 2445, 22688, 37739, 34751, 863, 5938, 449, 264, 35977, 20985, 22423, 11, 279, 3813, 315, 904, 32760, 7951, 10522, 8625, 9987, 627, 7009, 10212, 5410, 1054, 695, 13654, 863, 7504, 369, 1521, 13124, 315, 13042, 41300, 315, 3424, 11, 2737, 9302, 24481, 369, 7479, 8625, 26, 264, 37538, 93091, 9976, 7561, 59520, 10795, 311, 8417, 279, 13112, 315, 3823, 30747, 4028, 279, 3158, 26, 323, 7649, 315, 45215, 660, 8316, 627, 22818, 4072, 52409, 301, 753, 11026, 315, 5784, 1234, 17019, 11, 2737, 994, 279, 83052, 84312, 264, 5068, 220, 18, 11, 931, 15196, 19087, 12690, 11, 323, 9511, 388, 3984, 6625, 59721, 315, 11822, 11, 1054, 15031, 510, 729, 75, 4234, 11904, 1274, 60, 22225, 2011, 617, 8636, 1070, 2476, 8270, 323, 52034, 8326, 6267, 627, 62804, 897, 16549, 323, 800, 13, 74565, 10068, 2947, 15605, 362, 13, 40034, 706, 46029, 60089, 32313, 315, 94425, 36259, 10951, 323, 5596, 315, 17019, 10951, 13, 40034, 13605, 264, 5647, 430, 11904, 7951, 10522, 1051, 3284, 389, 17019, 10951, 11, 90761, 555, 15325, 11774, 315, 11311, 627, 15546, 1253, 387, 1070, 5380, 791, 220, 1049, 16, 5929, 323, 20442, 65, 2154, 1934, 12090, 17019, 1234, 76833, 279, 1396, 315, 95389, 66738, 389, 813, 83052, 323, 9408, 279, 13336, 315, 9709, 3880, 580, 17019, 76951, 8625, 389, 17019, 10951, 627, 1383, 220, 11128, 15, 11, 40271, 17019, 11, 889, 9749, 4072, 52409, 301, 11, 8636, 13, 9393, 17019, 8636, 304, 11897, 11, 813, 12675, 11, 902, 5343, 95389, 11904, 1274, 11, 574, 21852, 291, 311, 27651, 66599, 11, 439, 11680, 388, 6267, 627, 29174, 11, 1054, 12840, 6244, 315, 279, 83052, 323, 1202, 75772, 863, 1306, 40271, 17019, 34688, 14639, 82, 7555, 11, 21077, 11, 8636, 11, 1054, 285, 50801, 9987, 2476, 5929, 323, 20442, 65, 2154, 6267, 627, 27849, 11, 1364, 93469, 11, 1053, 1101, 3493, 430, 422, 95389, 66738, 2001, 889, 11, 1093, 17019, 11, 1051, 60753, 323, 539, 16879, 2001, 8636, 389, 4072, 52409, 301, 430, 814, 1053, 539, 617, 1027, 7263, 555, 15688, 505, 17019, 10951, 369, 55763, 304, 51115, 800, 13, 74565, 627, 4071, 45813, 11311, 1053, 1397, 810, 1355, 5237, 4633, 660, 8990, 13, 1054, 40, 649, 1431, 2019, 1070, 753, 904, 832, 1732, 889, 706, 15203, 1475, 17560, 315, 430, 3424, 2476, 40034, 1071, 627, 4516, 11, 527, 95389, 11904, 1274, 304, 11, 389, 11, 477, 2212, 17019, 10951, 30, 8886, 17019, 49446, 11, 1949, 9709, 3880, 580, 1274, 315, 1933, 11, 28016, 1070, 30, 3639, 1457, 5380, 791, 4409, 315, 800, 13, 74565, 11, 1614, 315, 9784, 323, 3907, 315, 9784, 617, 1054, 46696, 311, 2294, 29416, 304, 30164, 70800, 311, 21813, 279, 3925, 863, 315, 800, 13, 74565, 11, 264, 2035, 1054, 906, 682, 3021, 779, 1790, 2476, 8270, 323, 52034, 8326, 6267, 627, 23025, 70800, 9124, 69692, 51887, 800, 13, 74565, 4953, 13, 320, 21180, 39, 7934, 570, 763, 1202, 9908, 315, 88465, 11, 279, 2536, 28926, 11725, 46643, 11, 35093, 323, 13709, 315, 1054, 44541, 950, 863, 61024, 11, 6732, 323, 8625, 304, 279, 800, 13, 74565, 3158, 439, 8125, 369, 1202, 14209, 13, 3011, 36330, 2246, 4726, 5825, 430, 69692, 39, 7934, 1253, 1054, 82, 98148, 11, 4933, 11, 4287, 323, 5371, 863, 25076, 11, 21258, 323, 1023, 3424, 311, 1862, 13042, 323, 69637, 46643, 304, 323, 2212, 800, 13, 74565, 627, 22818, 17019, 10951, 753, 3813, 304, 323, 26431, 311, 800, 13, 74565, 11, 11175, 315, 420, 8815, 18911, 264, 3361, 6776, 13, 578, 1890, 90203, 113588, 430, 9124, 69692, 39, 7934, 1436, 61871, 1202, 7100, 11, 20207, 323, 5054, 5070, 311, 463, 3018, 16614, 27548, 311, 4500, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608 ]
1,609
[ 128000, 40, 2846, 2216, 16089, 814, 2751, 11838, 892, 7543, 304, 47137, 2194, 12309, 4216, 389, 304, 279, 330, 9054, 3280, 1, 315, 78796, 13, 4314, 1566, 220, 17, 18243, 2733, 1790, 810, 1093, 279, 5596, 315, 279, 33112, 22967, 358, 4774, 279, 1455, 13, 21347, 304, 264, 98086, 1126, 1917, 315, 11204, 323, 9987, 20566, 2216, 11321, 1093, 433, 29076, 872, 5845, 311, 71766, 2212, 1790, 810, 439, 1664, 13, 10901, 84996, 389, 430, 690, 13592, 719, 358, 3077, 32627, 1790, 810, 323, 6612, 279, 16630, 1047, 264, 2731, 8335, 315, 100194, 14269, 1109, 279, 18243, 7543, 11622, 304, 279, 364, 8110, 1917, 30736, 644, 2144, 358, 3987, 1070, 527, 4553, 67850, 430, 1935, 2035, 10213, 304, 47137, 2194, 13, 1102, 11321, 1093, 430, 596, 1405, 279, 810, 11782, 54786, 2668, 4595, 315, 3446, 67850, 279, 33112, 22967, 706, 3719, 3967, 369, 1436, 1935, 2035, 320, 849, 25, 264, 6424, 430, 374, 16075, 304, 892, 323, 40916, 1202, 19814, 555, 264, 14880, 24632, 35311, 8, 4856, 1109, 1120, 14324, 279, 6424, 315, 98843, 505, 264, 2204, 18118, 1855, 15952, 382, 3112, 7059, 311, 41496, 369, 48309, 704, 264, 27582, 81395, 14039, 1524, 422, 420, 1887, 3250, 956, 39580, 5196, 311, 430, 439, 1664, 439, 423, 28165, 26, 35, 0, 1102, 1053, 617, 1027, 13942, 323, 872, 1176, 4034, 311, 48562, 80556, 574, 2736, 5128, 15526, 323, 2294, 13, 5884, 2336, 11, 358, 2846, 6041, 311, 4774, 78796, 1790, 810, 520, 420, 1486, 16102, 11, 2567, 433, 709, 13305, 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 ]
[ 128000, 40, 2846, 2216, 16089, 814, 2751, 11838, 892, 7543, 304, 47137, 2194, 12309, 4216, 389, 304, 279, 330, 9054, 3280, 1, 315, 78796, 13, 4314, 1566, 220, 17, 18243, 2733, 1790, 810, 1093, 279, 5596, 315, 279, 33112, 22967, 358, 4774, 279, 1455, 13, 21347, 304, 264, 98086, 1126, 1917, 315, 11204, 323, 9987, 20566, 2216, 11321, 1093, 433, 29076, 872, 5845, 311, 71766, 2212, 1790, 810, 439, 1664, 13, 10901, 84996, 389, 430, 690, 13592, 719, 358, 3077, 32627, 1790, 810, 323, 6612, 279, 16630, 1047, 264, 2731, 8335, 315, 100194, 14269, 1109, 279, 18243, 7543, 11622, 304, 279, 364, 8110, 1917, 30736, 644, 2144, 358, 3987, 1070, 527, 4553, 67850, 430, 1935, 2035, 10213, 304, 47137, 2194, 13, 1102, 11321, 1093, 430, 596, 1405, 279, 810, 11782, 54786, 2668, 4595, 315, 3446, 67850, 279, 33112, 22967, 706, 3719, 3967, 369, 1436, 1935, 2035, 320, 849, 25, 264, 6424, 430, 374, 16075, 304, 892, 323, 40916, 1202, 19814, 555, 264, 14880, 24632, 35311, 8, 4856, 1109, 1120, 14324, 279, 6424, 315, 98843, 505, 264, 2204, 18118, 1855, 15952, 382, 3112, 7059, 311, 41496, 369, 48309, 704, 264, 27582, 81395, 14039, 1524, 422, 420, 1887, 3250, 956, 39580, 5196, 311, 430, 439, 1664, 439, 423, 28165, 26, 35, 0, 1102, 1053, 617, 1027, 13942, 323, 872, 1176, 4034, 311, 48562, 80556, 574, 2736, 5128, 15526, 323, 2294, 13, 5884, 2336, 11, 358, 2846, 6041, 311, 4774, 78796, 1790, 810, 520, 420, 1486, 16102, 11, 2567, 433, 709, 13305, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250 ]
251
[ 128000, 198, 12174, 11, 430, 8430, 994, 279, 30835, 527, 304, 459, 15538, 69392, 323, 814, 4498, 4920, 4216, 13, 1102, 596, 41367, 311, 1781, 922, 279, 30835, 505, 5936, 13, 2435, 1053, 4498, 4920, 2466, 11, 1243, 2586, 1203, 304, 279, 3389, 36100, 13, 1102, 3952, 11, 1093, 11, 2380, 5672, 315, 433, 369, 603, 682, 311, 1781, 11, 330, 54, 19659, 11, 26336, 13575, 48630, 3247, 25404, 10245, 59203, 3507, 426, 60737, 23214, 11, 358, 480, 2279, 1242, 13, 11947, 3065, 3083, 362, 445, 1294, 13, 62093, 7837, 8428, 4122, 59203, 11, 66800, 10246, 7184, 994, 11519, 27776, 5721, 6835, 709, 3116, 8640, 304, 279, 2132, 46386, 11, 279, 1193, 2944, 539, 311, 18791, 1555, 279, 14994, 8641, 374, 1606, 499, 7784, 956, 10307, 279, 1847, 389, 6007, 13, 1472, 2643, 387, 389, 279, 8191, 11, 2019, 13, 1472, 1436, 4762, 1427, 709, 8415, 9364, 477, 26359, 26018, 11, 4619, 13, 578, 9320, 505, 93111, 311, 75323, 994, 28848, 5828, 956, 264, 43426, 832, 13, 1102, 1120, 34490, 7077, 13, 1628, 1457, 584, 2351, 1203, 304, 11537, 18455, 449, 11537, 3878, 323, 32847, 430, 584, 1440, 2288, 1664, 13, 330, 34, 2101, 1359, 369, 832, 13, 330, 49057, 1800, 11, 656, 2555, 430, 53291, 4205, 1359, 369, 1403, 13, 330, 57, 7521, 7521, 25013, 10616, 10616, 89, 1359, 369, 2380, 627, 40, 690, 2019, 420, 922, 27776, 5721, 25, 1283, 3358, 617, 264, 3682, 88363, 7076, 439, 1317, 439, 568, 596, 9498, 13, 1283, 5039, 62385, 1475, 1847, 13, 763, 279, 1176, 11, 568, 17948, 704, 55835, 650, 36726, 389, 264, 6366, 95062, 430, 24937, 279, 4994, 9309, 13, 1115, 11, 1306, 568, 743, 650, 36726, 709, 449, 264, 5743, 315, 82150, 369, 2663, 23170, 13, 1283, 1903, 4367, 49641, 520, 3115, 11, 323, 568, 23010, 4147, 1555, 279, 1176, 46386, 1578, 13, 1283, 3358, 617, 264, 3682, 88363, 7076, 627, 4071, 430, 596, 264, 5128, 40146, 4096, 13, 18063, 328, 12252, 323, 1443, 1334, 263, 8290, 285, 1047, 2555, 315, 3682, 88363, 31133, 11, 779, 7344, 430, 596, 1148, 27776, 5721, 690, 656, 13, 2582, 7344, 568, 3358, 387, 389, 430, 2132, 27087, 449, 42592, 78, 22021, 11, 32501, 473, 729, 3258, 11, 477, 30397, 16959, 276, 51758, 1198, 30835, 8961, 89112, 889, 9670, 709, 38072, 2212, 369, 5115, 264, 1418, 11, 1524, 422, 814, 7784, 956, 14048, 5144, 304, 872, 1866, 9919, 13, 2582, 7344, 27776, 5721, 690, 3719, 459, 21342, 7564, 1093, 13142, 37837, 477, 18984, 50948, 72, 13, 21335, 27776, 5721, 264, 5743, 315, 15956, 323, 264, 43641, 3502, 1251, 2683, 11, 323, 568, 3358, 387, 21411, 369, 1667, 627, 2520, 220, 679, 18, 11, 3582, 11, 358, 2846, 539, 2771, 1268, 568, 596, 2133, 311, 1520, 13, 27776, 5721, 374, 279, 4832, 3187, 315, 3249, 54594, 88, 4595, 1304, 264, 30296, 1990, 330, 2935, 1, 323, 330, 5749, 1210, 3277, 264, 42070, 3250, 956, 617, 2585, 11, 568, 596, 682, 927, 279, 2035, 13, 7570, 994, 568, 6944, 311, 2571, 264, 13471, 449, 279, 23963, 6799, 311, 55678, 11301, 6374, 11, 1070, 596, 912, 15803, 430, 568, 649, 13, 362, 42070, 889, 3250, 956, 617, 3290, 649, 2571, 23170, 11, 8530, 11, 719, 568, 3250, 956, 2744, 2571, 279, 1888, 23170, 13, 1283, 3358, 2571, 264, 2478, 810, 82150, 477, 5043, 46618, 927, 279, 4851, 315, 279, 12235, 11, 323, 430, 596, 1148, 3727, 682, 279, 6811, 627, 1688, 3325, 369, 279, 1176, 2478, 3953, 315, 813, 7076, 11, 27776, 5721, 706, 1027, 32161, 3290, 13, 1115, 374, 7995, 264, 2766, 315, 3135, 6108, 6492, 26, 422, 73189, 28280, 13280, 264, 4725, 5015, 4047, 4619, 315, 264, 35311, 1474, 301, 1303, 523, 18994, 11, 279, 3814, 2643, 539, 1427, 779, 3958, 369, 27776, 5721, 13, 2030, 682, 584, 342, 2469, 374, 1124, 1069, 752, 388, 11, 323, 994, 81133, 636, 13280, 1022, 1461, 11, 433, 596, 539, 1093, 584, 617, 311, 1514, 279, 9846, 1203, 304, 6435, 85349, 311, 1518, 1268, 2574, 3287, 956, 2543, 704, 1664, 13, 1102, 596, 5128, 8196, 13, 578, 5041, 430, 574, 1618, 1288, 617, 1027, 1070, 11, 323, 279, 5041, 430, 574, 1070, 1288, 617, 1027, 1618, 627, 31485, 11, 3682, 88363, 42070, 520, 1063, 1486, 13, 80291, 449, 279, 30835, 13, 10926, 1524, 449, 264, 3831, 10683, 1828, 1060, 13, 2030, 369, 1314, 1457, 11, 568, 596, 539, 7041, 459, 1567, 42070, 499, 743, 701, 94986, 369, 13, 578, 67409, 706, 24634, 1022, 11, 323, 568, 596, 1120, 2500, 30835, 42070, 889, 706, 35665, 3794, 1139, 279, 31487, 46386, 13, 2582, 26084, 11, 18172, 11, 11999, 11, 477, 4948, 627, 19182, 11, 422, 568, 3596, 5334, 264, 6928, 59083, 1906, 11, 568, 3358, 387, 279, 1455, 15525, 42070, 311, 617, 1027, 39056, 220, 3753, 339, 8244, 13, 578, 30835, 527, 2736, 3815, 1664, 311, 617, 264, 26084, 21691, 3820, 449, 264, 6140, 13, 1628, 27776, 5721, 706, 810, 1109, 264, 6140, 13, 358, 2846, 2103, 5128, 90221, 11, 1524, 1306, 3432, 13, 8489, 11, 358, 2846, 7995, 539, 11984, 819, 13, 358, 2846, 4762, 26418, 819, 11, 1120, 3169, 315, 20700, 856, 8834, 659, 2212, 11, 8748, 369, 2555, 775, 311, 3621, 13, 85620, 11984, 819, 11, 520, 3325, 627, 95336, 423, 11465, 7111, 5128, 1695, 11, 3582, 4999, 35, 1982, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 662, 36082, 17524, 17524, 17524, 17524, 13, 423, 1982, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 662, 36082, 17524, 17524, 17524, 17524, 13, 358, 4265, 4856, 3821, 7011, 10128, 437, 12523, 279, 30835, 3201, 449, 2653, 6392, 323, 35507, 15061, 20953, 627, 2746, 1070, 596, 264, 15310, 36471, 1198, 323, 3249, 539, 0, 1198, 433, 596, 430, 584, 682, 6612, 1093, 420, 1306, 1676, 3433, 78, 30801, 279, 30835, 304, 279, 33260, 6061, 13, 1102, 574, 3169, 315, 279, 2128, 596, 15821, 1486, 315, 279, 3280, 11, 539, 20426, 433, 374, 1314, 1457, 369, 279, 30835, 13, 1628, 814, 2751, 1555, 433, 13, 1102, 574, 17821, 11, 323, 433, 3952, 892, 11, 719, 814, 2751, 1555, 433, 13, 24241, 11555, 13, 358, 1766, 420, 389, 264, 47866, 2778, 369, 330, 19680, 2191, 3343, 1102, 3250, 956, 1520, 757, 13, 10926, 499, 3358, 4667, 449, 433, 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 ]
[ 128000, 198, 12174, 11, 430, 8430, 994, 279, 30835, 527, 304, 459, 15538, 69392, 323, 814, 4498, 4920, 4216, 13, 1102, 596, 41367, 311, 1781, 922, 279, 30835, 505, 5936, 13, 2435, 1053, 4498, 4920, 2466, 11, 1243, 2586, 1203, 304, 279, 3389, 36100, 13, 1102, 3952, 11, 1093, 11, 2380, 5672, 315, 433, 369, 603, 682, 311, 1781, 11, 330, 54, 19659, 11, 26336, 13575, 48630, 3247, 25404, 10245, 59203, 3507, 426, 60737, 23214, 11, 358, 480, 2279, 1242, 13, 11947, 3065, 3083, 362, 445, 1294, 13, 62093, 7837, 8428, 4122, 59203, 11, 66800, 10246, 7184, 994, 11519, 27776, 5721, 6835, 709, 3116, 8640, 304, 279, 2132, 46386, 11, 279, 1193, 2944, 539, 311, 18791, 1555, 279, 14994, 8641, 374, 1606, 499, 7784, 956, 10307, 279, 1847, 389, 6007, 13, 1472, 2643, 387, 389, 279, 8191, 11, 2019, 13, 1472, 1436, 4762, 1427, 709, 8415, 9364, 477, 26359, 26018, 11, 4619, 13, 578, 9320, 505, 93111, 311, 75323, 994, 28848, 5828, 956, 264, 43426, 832, 13, 1102, 1120, 34490, 7077, 13, 1628, 1457, 584, 2351, 1203, 304, 11537, 18455, 449, 11537, 3878, 323, 32847, 430, 584, 1440, 2288, 1664, 13, 330, 34, 2101, 1359, 369, 832, 13, 330, 49057, 1800, 11, 656, 2555, 430, 53291, 4205, 1359, 369, 1403, 13, 330, 57, 7521, 7521, 25013, 10616, 10616, 89, 1359, 369, 2380, 627, 40, 690, 2019, 420, 922, 27776, 5721, 25, 1283, 3358, 617, 264, 3682, 88363, 7076, 439, 1317, 439, 568, 596, 9498, 13, 1283, 5039, 62385, 1475, 1847, 13, 763, 279, 1176, 11, 568, 17948, 704, 55835, 650, 36726, 389, 264, 6366, 95062, 430, 24937, 279, 4994, 9309, 13, 1115, 11, 1306, 568, 743, 650, 36726, 709, 449, 264, 5743, 315, 82150, 369, 2663, 23170, 13, 1283, 1903, 4367, 49641, 520, 3115, 11, 323, 568, 23010, 4147, 1555, 279, 1176, 46386, 1578, 13, 1283, 3358, 617, 264, 3682, 88363, 7076, 627, 4071, 430, 596, 264, 5128, 40146, 4096, 13, 18063, 328, 12252, 323, 1443, 1334, 263, 8290, 285, 1047, 2555, 315, 3682, 88363, 31133, 11, 779, 7344, 430, 596, 1148, 27776, 5721, 690, 656, 13, 2582, 7344, 568, 3358, 387, 389, 430, 2132, 27087, 449, 42592, 78, 22021, 11, 32501, 473, 729, 3258, 11, 477, 30397, 16959, 276, 51758, 1198, 30835, 8961, 89112, 889, 9670, 709, 38072, 2212, 369, 5115, 264, 1418, 11, 1524, 422, 814, 7784, 956, 14048, 5144, 304, 872, 1866, 9919, 13, 2582, 7344, 27776, 5721, 690, 3719, 459, 21342, 7564, 1093, 13142, 37837, 477, 18984, 50948, 72, 13, 21335, 27776, 5721, 264, 5743, 315, 15956, 323, 264, 43641, 3502, 1251, 2683, 11, 323, 568, 3358, 387, 21411, 369, 1667, 627, 2520, 220, 679, 18, 11, 3582, 11, 358, 2846, 539, 2771, 1268, 568, 596, 2133, 311, 1520, 13, 27776, 5721, 374, 279, 4832, 3187, 315, 3249, 54594, 88, 4595, 1304, 264, 30296, 1990, 330, 2935, 1, 323, 330, 5749, 1210, 3277, 264, 42070, 3250, 956, 617, 2585, 11, 568, 596, 682, 927, 279, 2035, 13, 7570, 994, 568, 6944, 311, 2571, 264, 13471, 449, 279, 23963, 6799, 311, 55678, 11301, 6374, 11, 1070, 596, 912, 15803, 430, 568, 649, 13, 362, 42070, 889, 3250, 956, 617, 3290, 649, 2571, 23170, 11, 8530, 11, 719, 568, 3250, 956, 2744, 2571, 279, 1888, 23170, 13, 1283, 3358, 2571, 264, 2478, 810, 82150, 477, 5043, 46618, 927, 279, 4851, 315, 279, 12235, 11, 323, 430, 596, 1148, 3727, 682, 279, 6811, 627, 1688, 3325, 369, 279, 1176, 2478, 3953, 315, 813, 7076, 11, 27776, 5721, 706, 1027, 32161, 3290, 13, 1115, 374, 7995, 264, 2766, 315, 3135, 6108, 6492, 26, 422, 73189, 28280, 13280, 264, 4725, 5015, 4047, 4619, 315, 264, 35311, 1474, 301, 1303, 523, 18994, 11, 279, 3814, 2643, 539, 1427, 779, 3958, 369, 27776, 5721, 13, 2030, 682, 584, 342, 2469, 374, 1124, 1069, 752, 388, 11, 323, 994, 81133, 636, 13280, 1022, 1461, 11, 433, 596, 539, 1093, 584, 617, 311, 1514, 279, 9846, 1203, 304, 6435, 85349, 311, 1518, 1268, 2574, 3287, 956, 2543, 704, 1664, 13, 1102, 596, 5128, 8196, 13, 578, 5041, 430, 574, 1618, 1288, 617, 1027, 1070, 11, 323, 279, 5041, 430, 574, 1070, 1288, 617, 1027, 1618, 627, 31485, 11, 3682, 88363, 42070, 520, 1063, 1486, 13, 80291, 449, 279, 30835, 13, 10926, 1524, 449, 264, 3831, 10683, 1828, 1060, 13, 2030, 369, 1314, 1457, 11, 568, 596, 539, 7041, 459, 1567, 42070, 499, 743, 701, 94986, 369, 13, 578, 67409, 706, 24634, 1022, 11, 323, 568, 596, 1120, 2500, 30835, 42070, 889, 706, 35665, 3794, 1139, 279, 31487, 46386, 13, 2582, 26084, 11, 18172, 11, 11999, 11, 477, 4948, 627, 19182, 11, 422, 568, 3596, 5334, 264, 6928, 59083, 1906, 11, 568, 3358, 387, 279, 1455, 15525, 42070, 311, 617, 1027, 39056, 220, 3753, 339, 8244, 13, 578, 30835, 527, 2736, 3815, 1664, 311, 617, 264, 26084, 21691, 3820, 449, 264, 6140, 13, 1628, 27776, 5721, 706, 810, 1109, 264, 6140, 13, 358, 2846, 2103, 5128, 90221, 11, 1524, 1306, 3432, 13, 8489, 11, 358, 2846, 7995, 539, 11984, 819, 13, 358, 2846, 4762, 26418, 819, 11, 1120, 3169, 315, 20700, 856, 8834, 659, 2212, 11, 8748, 369, 2555, 775, 311, 3621, 13, 85620, 11984, 819, 11, 520, 3325, 627, 95336, 423, 11465, 7111, 5128, 1695, 11, 3582, 4999, 35, 1982, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 662, 36082, 17524, 17524, 17524, 17524, 13, 423, 1982, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 656, 564, 662, 36082, 17524, 17524, 17524, 17524, 13, 358, 4265, 4856, 3821, 7011, 10128, 437, 12523, 279, 30835, 3201, 449, 2653, 6392, 323, 35507, 15061, 20953, 627, 2746, 1070, 596, 264, 15310, 36471, 1198, 323, 3249, 539, 0, 1198, 433, 596, 430, 584, 682, 6612, 1093, 420, 1306, 1676, 3433, 78, 30801, 279, 30835, 304, 279, 33260, 6061, 13, 1102, 574, 3169, 315, 279, 2128, 596, 15821, 1486, 315, 279, 3280, 11, 539, 20426, 433, 374, 1314, 1457, 369, 279, 30835, 13, 1628, 814, 2751, 1555, 433, 13, 1102, 574, 17821, 11, 323, 433, 3952, 892, 11, 719, 814, 2751, 1555, 433, 13, 24241, 11555, 13, 358, 1766, 420, 389, 264, 47866, 2778, 369, 330, 19680, 2191, 3343, 1102, 3250, 956, 1520, 757, 13, 10926, 499, 3358, 4667, 449, 433, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062 ]
1,063
[ 128000, 9, 375, 21854, 5736, 13020, 315, 1561, 432, 6, 982, 339, 25, 469, 68, 1247, 0, 8828, 4999, 47, 11755, 7716, 25415, 320, 258, 264, 5655, 68790, 7899, 8, 551, 358, 1097, 59478, 315, 3165, 4473, 39099, 1154, 0, 3580, 856, 53815, 1910, 434, 323, 46996, 4999, 66754, 856, 78944, 18118, 4999, 7979, 25, 8840, 12155, 0, 33234, 392, 7278, 426, 35395, 358, 5268, 1472, 4999, 36, 15959, 8209, 4675, 1157, 12, 6995, 547, 5829, 93743, 0, 3440, 13, 426, 35395, 5829, 5377, 709, 264, 502, 649, 3361, 3440, 4999, 89441, 11, 1268, 1587, 445, 3301, 636, 311, 279, 5740, 315, 279, 38681, 5380, 40, 649, 1193, 13085, 279, 38681, 323, 47722, 73974, 1331, 287, 92218, 552, 304, 279, 6278, 315, 279, 3814, 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 ]
[ 128000, 9, 375, 21854, 5736, 13020, 315, 1561, 432, 6, 982, 339, 25, 469, 68, 1247, 0, 8828, 4999, 47, 11755, 7716, 25415, 320, 258, 264, 5655, 68790, 7899, 8, 551, 358, 1097, 59478, 315, 3165, 4473, 39099, 1154, 0, 3580, 856, 53815, 1910, 434, 323, 46996, 4999, 66754, 856, 78944, 18118, 4999, 7979, 25, 8840, 12155, 0, 33234, 392, 7278, 426, 35395, 358, 5268, 1472, 4999, 36, 15959, 8209, 4675, 1157, 12, 6995, 547, 5829, 93743, 0, 3440, 13, 426, 35395, 5829, 5377, 709, 264, 502, 649, 3361, 3440, 4999, 89441, 11, 1268, 1587, 445, 3301, 636, 311, 279, 5740, 315, 279, 38681, 5380, 40, 649, 1193, 13085, 279, 38681, 323, 47722, 73974, 1331, 287, 92218, 552, 304, 279, 6278, 315, 279, 3814, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125 ]
126
[ 128000, 9023, 13, 5767, 478, 474, 596, 1317, 9860, 3495, 9021, 9395, 311, 10765, 11297, 323, 7524, 4221, 39455, 369, 2911, 323, 51516, 449, 5199, 4221, 53317, 13, 763, 33436, 315, 50698, 420, 5915, 11, 1077, 3495, 2068, 18065, 2380, 12742, 282, 2168, 25, 320, 64, 8, 30240, 264, 2731, 8830, 315, 279, 25702, 323, 4221, 18000, 315, 2911, 323, 51516, 449, 61469, 48006, 36801, 26, 320, 65, 8, 38936, 279, 5536, 315, 1521, 21542, 389, 4221, 21623, 20124, 26, 323, 320, 66, 8, 47594, 4221, 21623, 16346, 369, 2911, 449, 4221, 53317, 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 ]
[ 128000, 9023, 13, 5767, 478, 474, 596, 1317, 9860, 3495, 9021, 9395, 311, 10765, 11297, 323, 7524, 4221, 39455, 369, 2911, 323, 51516, 449, 5199, 4221, 53317, 13, 763, 33436, 315, 50698, 420, 5915, 11, 1077, 3495, 2068, 18065, 2380, 12742, 282, 2168, 25, 320, 64, 8, 30240, 264, 2731, 8830, 315, 279, 25702, 323, 4221, 18000, 315, 2911, 323, 51516, 449, 61469, 48006, 36801, 26, 320, 65, 8, 38936, 279, 5536, 315, 1521, 21542, 389, 4221, 21623, 20124, 26, 323, 320, 66, 8, 47594, 4221, 21623, 16346, 369, 2911, 449, 4221, 53317, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94 ]
95
[ 128000, 40, 1005, 433, 323, 433, 574, 279, 1888, 5597, 358, 3596, 1903, 382, 9, 1102, 753, 220, 679, 24, 323, 499, 2216, 1541, 1431, 1205, 264, 7106, 6201, 13, 220, 358, 16280, 2646, 1304, 8515, 34751, 13, 220, 358, 1935, 9364, 315, 12621, 311, 16946, 1124, 13, 220, 763, 279, 9024, 1162, 994, 358, 1205, 3230, 62265, 811, 315, 19123, 358, 1505, 264, 35674, 47135, 1606, 1690, 617, 279, 3072, 311, 3041, 704, 11758, 13, 220, 1442, 358, 1205, 311, 1935, 704, 264, 8941, 315, 3300, 320, 4908, 810, 1109, 279, 7446, 4017, 11, 902, 706, 1193, 7077, 994, 358, 4070, 11021, 4731, 7241, 705, 358, 1650, 6130, 2532, 11, 459, 3778, 8479, 22657, 709, 11, 323, 43496, 856, 4443, 2038, 1603, 33510, 279, 4017, 382, 9, 578, 6130, 2532, 374, 8056, 13, 220, 15037, 1047, 264, 12458, 1023, 1109, 279, 28961, 220, 868, 9568, 3412, 892, 13, 220, 14077, 11, 13307, 527, 682, 3778, 323, 6604, 4832, 6498, 779, 1070, 753, 912, 4221, 22881, 13, 220, 1628, 30605, 370, 5097, 14964, 2512, 315, 1202, 6444, 13, 220, 358, 5675, 856, 46453, 3786, 264, 2478, 2919, 1603, 9564, 369, 18157, 323, 2663, 30605, 370, 311, 8448, 264, 14039, 1524, 3582, 358, 7070, 387, 304, 264, 2728, 3363, 369, 3116, 2919, 520, 279, 22807, 13, 220, 2435, 25402, 291, 433, 311, 25048, 369, 1949, 13, 220, 3277, 433, 3287, 1431, 636, 1070, 389, 892, 323, 358, 574, 704, 315, 25048, 11, 814, 3288, 264, 2132, 14039, 311, 28035, 320, 13020, 220, 18, 1405, 358, 7070, 387, 1070, 279, 22807, 8, 323, 1101, 369, 1949, 13, 220, 1102, 574, 264, 10087, 6820, 13, 220, 320, 40, 1511, 279, 13598, 2759, 17791, 311, 856, 8821, 19523, 2759, 311, 15142, 3300, 304, 279, 33953, 3677, 9, 2360, 47135, 12718, 12660, 304, 279, 1917, 13, 220, 1472, 3207, 98678, 52832, 520, 279, 842, 315, 279, 2305, 13, 220, 358, 4070, 2646, 8208, 47135, 23330, 311, 5766, 264, 11307, 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 ]
[ 128000, 40, 1005, 433, 323, 433, 574, 279, 1888, 5597, 358, 3596, 1903, 382, 9, 1102, 753, 220, 679, 24, 323, 499, 2216, 1541, 1431, 1205, 264, 7106, 6201, 13, 220, 358, 16280, 2646, 1304, 8515, 34751, 13, 220, 358, 1935, 9364, 315, 12621, 311, 16946, 1124, 13, 220, 763, 279, 9024, 1162, 994, 358, 1205, 3230, 62265, 811, 315, 19123, 358, 1505, 264, 35674, 47135, 1606, 1690, 617, 279, 3072, 311, 3041, 704, 11758, 13, 220, 1442, 358, 1205, 311, 1935, 704, 264, 8941, 315, 3300, 320, 4908, 810, 1109, 279, 7446, 4017, 11, 902, 706, 1193, 7077, 994, 358, 4070, 11021, 4731, 7241, 705, 358, 1650, 6130, 2532, 11, 459, 3778, 8479, 22657, 709, 11, 323, 43496, 856, 4443, 2038, 1603, 33510, 279, 4017, 382, 9, 578, 6130, 2532, 374, 8056, 13, 220, 15037, 1047, 264, 12458, 1023, 1109, 279, 28961, 220, 868, 9568, 3412, 892, 13, 220, 14077, 11, 13307, 527, 682, 3778, 323, 6604, 4832, 6498, 779, 1070, 753, 912, 4221, 22881, 13, 220, 1628, 30605, 370, 5097, 14964, 2512, 315, 1202, 6444, 13, 220, 358, 5675, 856, 46453, 3786, 264, 2478, 2919, 1603, 9564, 369, 18157, 323, 2663, 30605, 370, 311, 8448, 264, 14039, 1524, 3582, 358, 7070, 387, 304, 264, 2728, 3363, 369, 3116, 2919, 520, 279, 22807, 13, 220, 2435, 25402, 291, 433, 311, 25048, 369, 1949, 13, 220, 3277, 433, 3287, 1431, 636, 1070, 389, 892, 323, 358, 574, 704, 315, 25048, 11, 814, 3288, 264, 2132, 14039, 311, 28035, 320, 13020, 220, 18, 1405, 358, 7070, 387, 1070, 279, 22807, 8, 323, 1101, 369, 1949, 13, 220, 1102, 574, 264, 10087, 6820, 13, 220, 320, 40, 1511, 279, 13598, 2759, 17791, 311, 856, 8821, 19523, 2759, 311, 15142, 3300, 304, 279, 33953, 3677, 9, 2360, 47135, 12718, 12660, 304, 279, 1917, 13, 220, 1472, 3207, 98678, 52832, 520, 279, 842, 315, 279, 2305, 13, 220, 358, 4070, 2646, 8208, 47135, 23330, 311, 5766, 264, 11307, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325 ]
326
[ 128000, 1480, 2007, 7832, 53, 6805, 6, 2736, 6866, 627, 21902, 4705, 1887, 11705, 459, 1493, 2007, 311, 3637, 2218, 828, 7123, 430, 41587, 279, 5300, 8464, 2335, 22295, 994, 279, 22295, 374, 3779, 311, 459, 6484, 2007, 4669, 76497, 14700, 5224, 477, 459, 40240, 8464, 2335, 22295, 374, 312, 60690, 4669, 3680, 10250, 2390, 79756, 5224, 13, 578, 836, 315, 279, 1493, 2007, 374, 279, 2218, 2007, 836, 52287, 555, 279, 12435, 5905, 1963, 1396, 13, 1442, 264, 2007, 449, 430, 836, 706, 2736, 25281, 304, 279, 1887, 11, 1243, 420, 1493, 374, 6052, 627, 20463, 279, 2007, 304, 12324, 11, 323, 594, 392, 1800, 1715, 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 ]
[ 128000, 1480, 2007, 7832, 53, 6805, 6, 2736, 6866, 627, 21902, 4705, 1887, 11705, 459, 1493, 2007, 311, 3637, 2218, 828, 7123, 430, 41587, 279, 5300, 8464, 2335, 22295, 994, 279, 22295, 374, 3779, 311, 459, 6484, 2007, 4669, 76497, 14700, 5224, 477, 459, 40240, 8464, 2335, 22295, 374, 312, 60690, 4669, 3680, 10250, 2390, 79756, 5224, 13, 578, 836, 315, 279, 1493, 2007, 374, 279, 2218, 2007, 836, 52287, 555, 279, 12435, 5905, 1963, 1396, 13, 1442, 264, 2007, 449, 430, 836, 706, 2736, 25281, 304, 279, 1887, 11, 1243, 420, 1493, 374, 6052, 627, 20463, 279, 2007, 304, 12324, 11, 323, 594, 392, 1800, 1715, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108 ]
109
[ 128000, 67403, 3370, 20210, 32608, 14337, 7376, 279, 17271, 753, 3197, 311, 1862, 279, 4500, 315, 264, 1772, 30483, 15679, 323, 264, 1317, 9860, 2512, 12764, 439, 961, 315, 1202, 990, 311, 1977, 459, 1054, 37838, 14458, 863, 304, 58447, 11, 18298, 627, 67403, 3370, 19487, 8079, 311, 923, 810, 2682, 4363, 311, 279, 7997, 76948, 1475, 892, 433, 51242, 264, 5054, 5507, 430, 5043, 10398, 7977, 4363, 4500, 627, 32, 502, 4007, 13533, 3116, 3610, 36262, 889, 9167, 956, 1027, 6532, 304, 85441, 264, 34267, 477, 34267, 3070, 3686, 11, 2019, 814, 1436, 8659, 477, 4461, 1518, 5694, 24435, 304, 279, 2563, 2954, 44434, 8410, 1050, 5671, 52219, 288, 2068, 520, 1063, 1486, 927, 279, 1828, 2478, 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 ]
[ 128000, 67403, 3370, 20210, 32608, 14337, 7376, 279, 17271, 753, 3197, 311, 1862, 279, 4500, 315, 264, 1772, 30483, 15679, 323, 264, 1317, 9860, 2512, 12764, 439, 961, 315, 1202, 990, 311, 1977, 459, 1054, 37838, 14458, 863, 304, 58447, 11, 18298, 627, 67403, 3370, 19487, 8079, 311, 923, 810, 2682, 4363, 311, 279, 7997, 76948, 1475, 892, 433, 51242, 264, 5054, 5507, 430, 5043, 10398, 7977, 4363, 4500, 627, 32, 502, 4007, 13533, 3116, 3610, 36262, 889, 9167, 956, 1027, 6532, 304, 85441, 264, 34267, 477, 34267, 3070, 3686, 11, 2019, 814, 1436, 8659, 477, 4461, 1518, 5694, 24435, 304, 279, 2563, 2954, 44434, 8410, 1050, 5671, 52219, 288, 2068, 520, 1063, 1486, 927, 279, 1828, 2478, 1667, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 ]
121
[ 128000, 3617, 483, 8078, 10289, 6011, 1051, 2663, 311, 44954, 2030, 668, 41763, 6150, 8079, 311, 1520, 5687, 19858, 264, 5575, 20558, 449, 14604, 4819, 13, 25611, 564, 6406, 6150, 11182, 31966, 10783, 11, 18984, 30474, 320, 14965, 19284, 311, 4068, 389, 17401, 705, 1071, 279, 6671, 81700, 311, 1486, 1405, 2978, 7510, 6612, 279, 1205, 311, 1715, 4994, 1520, 13, 14853, 5687, 3697, 16654, 9099, 15319, 1418, 4560, 311, 19858, 279, 1716, 889, 574, 40460, 311, 279, 8952, 369, 6721, 1520, 13, 30474, 1071, 279, 10672, 3952, 2035, 4994, 279, 5912, 24978, 6376, 13, 2360, 1023, 4236, 1051, 6532, 477, 15902, 13, 44954, 2030, 668, 41763, 706, 1403, 5211, 9808, 449, 279, 2394, 483, 8078, 10289, 6011, 11, 264, 8331, 30474, 1071, 9087, 9006, 279, 6671, 430, 1790, 10819, 627, 59828, 7729, 5762, 24981, 420, 2046, 13, 578, 5426, 5578, 8625, 220, 19, 13, 1187, 264, 50680, 1418, 19313, 753, 52041, 5578, 16392, 10284, 11, 311, 220, 19, 13, 5332, 13, 37749, 362, 596, 33116, 36968, 5469, 2795, 584, 527, 9298, 6962, 7729, 14470, 15528, 1606, 35750, 5707, 7729, 527, 14470, 15528, 13, 578, 3958, 3754, 374, 35750, 5707, 7729, 7293, 52496, 398, 3485, 400, 1041, 264, 20929, 13, 36968, 5469, 3779, 1070, 753, 912, 1648, 311, 1440, 1268, 1317, 279, 1579, 7729, 690, 1566, 11, 1606, 279, 8706, 5696, 374, 779, 50235, 482, 279, 8690, 30215, 315, 19278, 13, 549, 6354, 7631, 369, 46595, 11383, 12992, 420, 1060, 11, 17919, 7729, 5190, 13, 2030, 36968, 5469, 2795, 7631, 374, 3604, 1523, 369, 279, 2132, 2046, 304, 264, 2872, 11, 4461, 4245, 311, 12050, 10223, 26870, 1606, 315, 1579, 7729, 520, 279, 14155, 627, 1966, 8079, 11, 5936, 220, 21, 11, 279, 48838, 4409, 9251, 690, 3412, 264, 990, 3882, 311, 4358, 11223, 2082, 41693, 369, 52888, 13, 578, 2082, 41693, 527, 20034, 520, 7859, 279, 18539, 315, 23756, 28036, 1701, 6177, 10886, 369, 1912, 11, 7447, 48840, 323, 16166, 52888, 13, 578, 9251, 323, 4029, 690, 387, 3025, 311, 3477, 279, 11223, 2082, 41693, 323, 6865, 19075, 505, 279, 48838, 28780, 9849, 13, 578, 990, 3882, 690, 1935, 2035, 520, 220, 20, 281, 749, 13, 449, 264, 8821, 6574, 369, 586, 4068, 3297, 220, 19, 339, 13, 578, 11223, 1054, 2059, 18354, 6247, 2476, 574, 8040, 555, 279, 4409, 6783, 99463, 328, 13900, 8925, 311, 4783, 5751, 4275, 25068, 439, 264, 8446, 311, 2187, 29865, 52888, 323, 66743, 2671, 4409, 9328, 13, 1102, 5764, 19075, 369, 2380, 4595, 315, 15690, 52888, 11, 323, 1403, 4595, 315, 13643, 52888, 627, 626, 86892, 28387, 3280, 4131, 311, 459, 842, 3432, 320, 38888, 8, 304, 19313, 13, 47363, 31248, 6821, 389, 3249, 507, 33653, 374, 7452, 922, 86721, 5221, 974, 357, 86892, 31800, 2011, 387, 7108, 1603, 5936, 1176, 11, 477, 12050, 1436, 636, 264, 7154, 220, 1049, 54135, 11989, 13, 10771, 311, 19313, 6011, 315, 30978, 7978, 11, 357, 86892, 12056, 31800, 5353, 810, 1109, 220, 23, 46149, 11441, 304, 5674, 311, 1614, 60395, 1475, 1060, 13, 507, 33653, 753, 11291, 31053, 2795, 433, 753, 4382, 22027, 13, 330, 2746, 499, 617, 264, 19019, 38960, 13587, 449, 264, 1707, 315, 9501, 389, 433, 482, 264, 2653, 9501, 482, 323, 433, 4131, 304, 3729, 449, 46362, 11, 902, 374, 13524, 5707, 323, 7091, 11, 279, 9699, 34427, 279, 5707, 1475, 892, 13, 3011, 11767, 603, 311, 3515, 264, 6671, 1405, 279, 82211, 5900, 3201, 1359, 31053, 1071, 13, 1283, 3779, 279, 9266, 374, 8010, 1070, 374, 2103, 12056, 389, 1063, 16700, 16609, 779, 628, 4336, 323, 9462, 388, 690, 2103, 636, 704, 1405, 323, 994, 5995, 627, 44503, 19313, 31276, 5602, 4726, 16048, 304, 26690, 7969, 304, 7552, 11, 14691, 264, 3831, 13654, 9327, 13, 26361, 84038, 73349, 6588, 7881, 2795, 279, 2463, 27678, 88, 3158, 374, 7154, 7373, 26403, 505, 34606, 8274, 52443, 2683, 18151, 323, 433, 7077, 10819, 1109, 568, 3685, 13, 1283, 2795, 304, 279, 1162, 315, 3959, 331, 2142, 6406, 11, 13490, 220, 972, 4, 315, 2860, 2536, 66911, 14740, 304, 1403, 4038, 3312, 988, 311, 17715, 11, 4661, 220, 16, 304, 220, 20, 7032, 67503, 25402, 13, 1283, 1071, 11961, 449, 220, 5894, 15, 810, 7032, 1109, 994, 279, 28522, 4295, 11, 374, 264, 23649, 12627, 13, 3959, 331, 2142, 6406, 3779, 220, 14648, 7032, 11, 1566, 2305, 449, 26690, 1457, 520, 220, 18, 13, 23, 71724, 13, 3011, 753, 1120, 264, 4376, 264, 3346, 3485, 279, 3335, 3428, 743, 1603, 279, 28522, 6137, 13, 25611, 564, 6406, 753, 2683, 1752, 4478, 11299, 311, 220, 20, 13, 17, 71724, 304, 7552, 34644, 6406, 1101, 13241, 11, 26156, 311, 220, 19, 13, 23, 71724, 627, 5001, 331, 2142, 6406, 97345, 3952, 7504, 7159, 311, 29251, 17517, 369, 32714, 311, 2380, 14189, 14016, 13, 362, 13205, 14800, 315, 279, 82132, 5764, 3634, 369, 1403, 5217, 24958, 13, 97345, 1101, 12054, 264, 5406, 315, 7537, 311, 10292, 264, 5226, 311, 393, 70053, 38943, 315, 48838, 369, 2955, 32714, 311, 279, 40839, 753, 5274, 13, 99983, 18637, 2997, 3634, 369, 459, 10368, 323, 39890, 12764, 323, 810, 3634, 369, 59859, 323, 8735, 7510, 13, 578, 5226, 690, 2997, 32714, 311, 14189, 17999, 13077, 449, 264, 5357, 389, 1862, 3600, 11, 2737, 2167, 38217, 5789, 369, 3026, 323, 3278, 2391, 304, 29145, 6721, 21728, 13, 362, 220, 22, 11477, 8835, 4261, 2011, 1935, 2035, 1603, 904, 5226, 374, 3604, 22034, 13, 97345, 1101, 12054, 264, 5406, 315, 7537, 369, 264, 5226, 449, 445, 11706, 78113, 315, 48838, 323, 23947, 311, 2955, 279, 220, 1272, 11, 931, 34047, 21117, 82132, 5369, 627, 22993, 3136, 311, 2778, 369, 264, 46863, 30304, 893, 7554, 369, 4661, 1403, 5672, 13, 78318, 88, 19101, 4771, 2362, 21256, 24082, 309, 320, 46864, 8288, 309, 705, 574, 1566, 3970, 5587, 220, 845, 520, 46863, 30304, 91212, 16666, 13, 21839, 1054, 93906, 648, 2476, 555, 4885, 323, 3070, 11, 21256, 24082, 309, 13656, 220, 21, 7693, 16615, 323, 50542, 922, 220, 8848, 16701, 13, 5414, 1841, 574, 1766, 16075, 304, 279, 12056, 2919, 1306, 813, 52979, 220, 508, 8931, 9909, 315, 46863, 30304, 520, 11291, 753, 24561, 554, 3221, 279, 2385, 315, 10640, 34644, 13, 578, 1841, 13282, 3892, 4443, 3673, 11, 2737, 813, 9072, 902, 24082, 309, 374, 56452, 3970, 2085, 13, 735, 24, 5089, 27573, 4745, 311, 25539, 24082, 309, 1306, 12875, 34156, 279, 893, 753, 41466, 389, 264, 9025, 1139, 264, 31230, 7091, 3158, 13, 33634, 889, 16008, 477, 706, 2038, 922, 24082, 309, 374, 28932, 311, 3729, 279, 46863, 30304, 10289, 6011, 520, 25, 1393, 91, 76098, 19925, 8651, 91, 16853, 50, 9487, 49422, 11182, 6787, 311, 8395, 709, 311, 220, 806, 2902, 7259, 27464, 420, 1060, 13, 4203, 17890, 4027, 8316, 690, 1935, 2035, 389, 2380, 6732, 11, 24894, 311, 29866, 220, 508, 11, 2949, 279, 62088, 12299, 30353, 2053, 59200, 320, 7934, 10725, 8, 3158, 11, 323, 304, 279, 6344, 337, 9334, 61358, 13, 384, 1894, 62174, 11, 62088, 49422, 11182, 53206, 3987, 311, 3240, 10683, 32031, 4027, 7677, 1828, 2046, 13, 1838, 3421, 32257, 520, 420, 892, 315, 279, 1060, 6276, 369, 3428, 20653, 8127, 4027, 1418, 18054, 36865, 40373, 323, 51024, 40373, 8441, 13, 578, 13205, 8316, 527, 264, 42271, 315, 22972, 311, 1520, 279, 5933, 26031, 323, 8108, 51024, 40373, 430, 649, 90536, 1579, 21261, 4027, 4455, 2391, 279, 4725, 4027, 3280, 13, 38081, 2585, 11193, 690, 387, 45421, 389, 3682, 5754, 2336, 2391, 8395, 7677, 13, 64348, 304, 279, 6424, 315, 62088, 11, 439, 1664, 439, 704, 6852, 5789, 304, 279, 6344, 337, 9334, 61358, 527, 26160, 311, 2567, 872, 11276, 323, 14365, 8036, 2391, 279, 3814, 4207, 311, 5766, 4754, 16603, 25949, 627, 33, 408, 5657, 323, 57857, 11182, 25283, 311, 617, 264, 2539, 51680, 315, 7474, 7620, 11, 369, 279, 1176, 892, 304, 1403, 1667, 13, 2030, 20801, 5352, 7631, 1436, 3152, 16087, 5266, 1524, 10819, 1109, 4725, 13, 48838, 39272, 323, 4158, 753, 42287, 10690, 10975, 26068, 8225, 5513, 6699, 1205, 311, 387, 10235, 389, 279, 1176, 1938, 315, 12506, 1210, 2028, 374, 279, 832, 430, 1455, 6699, 2216, 1205, 311, 1304, 2771, 430, 814, 617, 4319, 839, 389, 279, 13470, 11, 369, 5936, 18172, 520, 220, 21, 1097, 13, 1102, 753, 264, 636, 709, 4216, 955, 315, 1938, 11, 1606, 420, 374, 994, 584, 3207, 2133, 311, 617, 682, 315, 1057, 7474, 29135, 1210, 5936, 220, 20, 339, 374, 1101, 279, 12506, 2457, 369, 16587, 18872, 323, 1023, 7620, 430, 1629, 505, 5209, 12278, 2957, 1555, 6287, 13, 1472, 649, 4254, 2930, 477, 304, 29145, 13, 578, 7474, 1054, 1387, 2239, 863, 79774, 279, 3280, 1288, 387, 2561, 420, 7950, 627, 32, 2394, 483, 8078, 5333, 706, 1027, 12800, 304, 264, 282, 95391, 55413, 5784, 13, 1952, 5587, 220, 1032, 339, 11, 220, 2366, 17, 11, 220, 1627, 1060, 2362, 19803, 12930, 27562, 315, 2394, 483, 8078, 574, 10717, 389, 29866, 220, 1627, 1990, 9671, 13075, 323, 2394, 483, 8078, 13, 3005, 574, 11684, 449, 50995, 282, 95391, 26153, 505, 279, 23947, 3158, 1139, 10913, 19313, 1306, 264, 2778, 315, 1077, 42981, 56747, 43522, 264, 8518, 12472, 315, 83734, 51715, 3418, 347, 606, 29679, 1903, 315, 282, 95391, 13, 362, 3544, 3392, 315, 11667, 574, 1101, 31589, 304, 279, 8163, 13, 362, 8762, 24023, 574, 29440, 323, 6004, 13, 362, 52335, 304, 279, 7458, 574, 23415, 927, 311, 19313, 73703, 12, 3736, 66187, 13, 27562, 753, 8163, 4131, 520, 279, 17102, 315, 264, 1317, 9860, 8990, 555, 279, 10913, 19313, 26166, 44056, 8068, 323, 11263, 264, 7447, 11477, 22156, 5784, 6957, 279, 58506, 23947, 3158, 13, 27562, 374, 74732, 304, 279, 25611, 564, 6406, 29783, 753, 57246, 13, 3005, 12580, 5361, 5623, 5552, 10405, 11, 323, 832, 1797, 315, 1716, 39332, 13, 362, 3293, 22531, 315, 282, 95391, 304, 279, 5654, 706, 1027, 10815, 311, 459, 14529, 60553, 42620, 304, 10913, 19313, 627, 35, 3843, 22955, 10043, 374, 36197, 369, 264, 10121, 16239, 264, 62553, 11092, 430, 19857, 264, 25611, 564, 6406, 5754, 369, 3892, 4207, 6740, 13658, 13, 362, 220, 2166, 4771, 6418, 19174, 11092, 5696, 574, 10007, 11130, 389, 10058, 10357, 416, 276, 9728, 11, 994, 279, 10121, 10222, 1120, 1603, 220, 18, 25, 966, 281, 749, 13, 10771, 311, 279, 25611, 564, 6406, 29783, 753, 8410, 11, 568, 5320, 12616, 1022, 279, 17308, 1306, 568, 12504, 2555, 304, 813, 22239, 13, 578, 18768, 23255, 8800, 1202, 3185, 11, 993, 9585, 279, 2865, 315, 62553, 4028, 279, 82211, 13, 578, 5696, 574, 26126, 555, 1812, 1233, 323, 6004, 520, 279, 6237, 13, 2360, 52946, 1051, 11136, 627, 6486, 596, 8410, 51730, 15341, 13611, 258, 61881, 330, 10156, 1908, 702, 32, 25611, 564, 6406, 29783, 753, 32724, 706, 1027, 23803, 315, 904, 65328, 1306, 264, 19094, 10658, 304, 4216, 7552, 13, 578, 11182, 18919, 2663, 279, 10658, 1054, 4345, 1908, 11453, 1952, 7552, 220, 19, 339, 11, 15341, 13611, 258, 2663, 220, 24, 12, 16, 12, 16, 13, 1283, 3309, 279, 39899, 813, 836, 11, 430, 568, 1047, 264, 7236, 11, 323, 430, 4423, 1288, 2586, 636, 1461, 1603, 568, 482, 12929, 11, 330, 1517, 3153, 704, 323, 44164, 4423, 3343, 32724, 24565, 473, 29158, 1766, 13611, 258, 430, 13658, 389, 264, 42623, 5754, 304, 12044, 13154, 41560, 13, 578, 98787, 574, 10791, 389, 279, 27158, 753, 2547, 6382, 22609, 439, 13611, 258, 711, 552, 10373, 311, 11203, 1523, 323, 2567, 813, 6206, 9621, 13, 13611, 258, 3309, 279, 39899, 568, 1047, 264, 40536, 323, 264, 22145, 13, 578, 423, 6830, 753, 5274, 6004, 2547, 6730, 22609, 505, 279, 43787, 14269, 1603, 32724, 24565, 473, 29158, 6689, 13611, 258, 889, 574, 6689, 11157, 1306, 711, 7169, 10373, 311, 636, 389, 279, 5015, 11, 323, 26449, 311, 5662, 9017, 813, 29142, 7198, 13, 10289, 1550, 539, 1505, 264, 22145, 477, 6166, 389, 13611, 258, 520, 279, 6237, 627, 32, 5333, 5068, 439, 7554, 555, 279, 23947, 10289, 22555, 7159, 574, 1766, 5710, 6740, 3221, 46863, 30304, 13, 19313, 3314, 10289, 16846, 311, 264, 1650, 315, 264, 7458, 927, 459, 8126, 1201, 479, 389, 29866, 220, 1627, 994, 814, 11352, 279, 5333, 889, 574, 21646, 311, 3816, 12669, 520, 279, 892, 315, 279, 10121, 13, 10289, 656, 539, 15562, 4205, 32427, 922, 279, 4648, 315, 279, 52356, 5333, 323, 2019, 1070, 374, 912, 5353, 369, 17035, 304, 279, 4029, 627, 28055, 279, 3293, 60553, 16779, 315, 1403, 1579, 2978, 4236, 304, 23947, 11, 10913, 19313, 2383, 13627, 2019, 279, 8209, 2403, 435, 95391, 374, 1618, 11, 439, 1664, 13, 3959, 331, 2142, 6406, 29783, 51075, 27562, 10975, 26068, 8225, 5513, 11, 279, 3392, 315, 282, 95391, 6273, 311, 3116, 41936, 315, 9462, 374, 3403, 311, 5622, 4423, 13, 1628, 11, 1070, 753, 912, 1648, 369, 3932, 311, 1440, 1268, 1790, 814, 3207, 4737, 13, 1283, 1071, 449, 12079, 17032, 1070, 596, 912, 1614, 477, 6918, 38189, 449, 5363, 311, 1268, 1790, 315, 264, 5623, 649, 733, 1139, 264, 15530, 13, 27562, 1071, 433, 753, 5423, 11660, 369, 3995, 1274, 889, 1253, 539, 13383, 435, 95391, 374, 304, 264, 15530, 814, 4070, 1027, 2728, 505, 264, 4333, 13, 10771, 311, 279, 356, 9607, 7813, 11, 16779, 505, 435, 95391, 4315, 27294, 617, 24657, 67, 304, 279, 3347, 1403, 1667, 627, 791, 9671, 13075, 4409, 9251, 706, 21489, 1403, 502, 3697, 311, 5266, 1403, 49791, 10093, 389, 279, 15177, 13, 11519, 8663, 15168, 323, 76249, 816, 4414, 690, 5266, 279, 16712, 315, 4846, 15177, 1105, 29627, 83, 45714, 323, 11284, 346, 30227, 4129, 16014, 2637, 6832, 10093, 33663, 6790, 220, 2148, 267, 13, 8663, 15168, 374, 659, 88984, 323, 706, 12439, 304, 9671, 13075, 369, 1403, 323, 264, 4376, 1667, 13, 5414, 4092, 5764, 990, 449, 279, 40432, 23298, 6011, 11, 24435, 304, 24583, 369, 279, 70819, 11, 323, 66515, 264, 64114, 3691, 6678, 304, 23947, 13, 1283, 16388, 3136, 813, 70438, 9045, 311, 16988, 813, 2254, 4029, 13, 816, 4414, 25241, 23373, 36968, 942, 69114, 323, 594, 4591, 304, 10913, 19313, 369, 11888, 1667, 13, 5414, 4092, 304, 8246, 5764, 4857, 810, 1109, 220, 8273, 10632, 323, 568, 16388, 311, 16988, 1579, 2978, 4236, 449, 279, 9251, 311, 3719, 3938, 6164, 13, 11995, 9732, 5633, 690, 387, 51748, 304, 927, 279, 1828, 5743, 315, 5672, 13, 362, 16287, 91781, 304, 22260, 690, 387, 5762, 5936, 220, 717, 2391, 279, 4409, 9251, 6574, 627, 32, 5234, 73710, 320, 68073, 8, 1167, 20262, 11, 4907, 73916, 7447, 17633, 11983, 4500, 374, 13205, 369, 279, 84252, 11182, 315, 48838, 753, 5526, 14013, 28931, 3158, 13, 578, 2380, 3446, 11, 220, 1927, 5089, 2447, 374, 3685, 311, 1464, 5015, 555, 279, 842, 315, 279, 1060, 13, 31421, 39119, 449, 12093, 537, 11050, 15620, 2795, 279, 5915, 374, 311, 1893, 459, 24955, 65487, 73916, 1054, 7099, 18811, 863, 4857, 430, 19159, 810, 4907, 1109, 433, 60606, 13, 39119, 2795, 279, 7138, 315, 279, 4500, 374, 2731, 1109, 35908, 75, 323, 1005, 119825, 402, 65, 76254, 10283, 430, 617, 1027, 91978, 311, 279, 1486, 814, 527, 71113, 10796, 15729, 13, 1283, 1071, 433, 2605, 5919, 459, 6776, 311, 2187, 810, 1274, 311, 3974, 304, 48838, 13, 18165, 6193, 19074, 304, 48838, 374, 30829, 279, 59136, 1742, 4500, 902, 690, 4668, 13238, 21988, 323, 1023, 1054, 13553, 863, 7384, 323, 690, 2997, 220, 1591, 832, 49607, 323, 8223, 1403, 49607, 3157, 4478, 8316, 323, 220, 2096, 13217, 12908, 13, 1556, 15740, 315, 4528, 1579, 17915, 26006, 649, 387, 3970, 2212, 279, 3224, 11, 323, 304, 9919, 1093, 23947, 323, 16759, 13, 39119, 2795, 279, 4500, 17503, 304, 1584, 449, 19313, 753, 4363, 1005, 14236, 902, 37167, 17915, 2949, 16036, 5789, 627, 32, 4027, 14760, 704, 8079, 6693, 520, 279, 4410, 3002, 8949, 26568, 304, 3816, 12669, 13, 8949, 4027, 43160, 16846, 520, 220, 605, 25, 914, 264, 749, 13, 311, 6821, 315, 264, 17677, 4027, 520, 279, 3254, 3446, 10960, 389, 13692, 220, 20, 339, 6825, 13, 36037, 82, 33111, 389, 279, 6237, 11352, 279, 4027, 1047, 9041, 311, 279, 10960, 753, 17677, 10594, 13, 578, 10960, 753, 4027, 56807, 11218, 1887, 4745, 719, 53206, 1051, 3025, 311, 2231, 704, 279, 4027, 13, 2360, 832, 574, 15902, 13, 21428, 311, 279, 4857, 323, 1202, 8970, 374, 13240, 520, 2212, 220, 24, 7716, 52949, 11441, 627, 791, 9974, 5234, 43286, 55887, 15686, 28219, 1022, 8079, 520, 279, 3959, 331, 2142, 6406, 14930, 304, 3816, 12669, 13, 578, 5043, 78780, 1567, 27741, 264, 7029, 8205, 315, 70402, 1855, 1060, 13, 578, 55887, 15686, 374, 1101, 264, 28284, 3009, 369, 279, 1948, 220, 1399, 21931, 432, 536, 78, 41405, 10229, 320, 6616, 5158, 8, 1322, 41761, 78, 452, 10725, 95213, 11378, 13, 578, 1567, 374, 5762, 304, 15664, 449, 279, 10913, 19313, 4029, 11, 323, 61191, 1063, 315, 279, 1888, 23579, 323, 51876, 1855, 1060, 13, 578, 5234, 43286, 55887, 15686, 3136, 1555, 7884, 11714, 449, 11215, 596, 65071, 33382, 612, 15996, 14075, 432, 34807, 58344, 3794, 38199, 420, 6693, 520, 220, 605, 25, 410, 264, 749, 627, 32, 893, 13487, 304, 279, 13419, 315, 264, 3816, 12669, 893, 574, 30231, 311, 9527, 7742, 304, 34644, 6406, 28317, 7301, 13, 220, 1591, 4771, 6418, 8375, 65, 5477, 12167, 28280, 574, 30231, 311, 220, 508, 1667, 304, 9527, 369, 2132, 38775, 89339, 323, 26359, 311, 5379, 44214, 13, 1952, 6287, 220, 508, 11, 220, 2366, 15, 11, 28280, 11096, 220, 1591, 4771, 6418, 43812, 12468, 819, 332, 323, 220, 1987, 4771, 6418, 49243, 23287, 569, 304, 264, 7234, 311, 10773, 220, 4103, 4771, 6418, 17520, 12201, 323, 27669, 813, 1841, 13, 28280, 753, 14065, 89239, 6122, 798, 1071, 279, 3440, 574, 59461, 555, 57175, 323, 72170, 13, 28280, 3309, 4379, 568, 51280, 813, 11996, 304, 279, 15489, 1306, 12201, 2231, 709, 264, 4465, 13, 12201, 753, 2547, 574, 11352, 279, 1828, 6693, 555, 264, 9048, 380, 389, 11824, 3845, 9728, 3221, 549, 815, 13, 29866, 220, 1627, 3221, 46863, 30304, 13, 23287, 569, 323, 12468, 819, 332, 1855, 4036, 4330, 1060, 9527, 3878, 369, 872, 961, 304, 279, 10102, 6931, 420, 1060, 627, 644, 279, 5149, 311, 10772, 369, 279, 5108, 7474, 8545, 4027, 3280, 11, 88134, 7510, 617, 3940, 32031, 44154, 13, 1952, 7742, 264, 32031, 8395, 3952, 2035, 3221, 42609, 19149, 1405, 1990, 220, 1041, 323, 220, 3443, 27464, 527, 3685, 311, 387, 27724, 1022, 20585, 5475, 9728, 220, 972, 323, 220, 914, 13, 19157, 12092, 3297, 323, 5651, 11, 279, 3158, 12580, 3485, 5578, 4027, 5820, 13, 3959, 331, 2142, 5165, 20585, 586, 22747, 24687, 11, 622, 2706, 648, 12225, 273, 11, 2795, 264, 2697, 16603, 1457, 505, 14400, 44154, 3445, 1694, 3025, 311, 636, 264, 2731, 3790, 389, 99482, 323, 304, 279, 7474, 13, 578, 32031, 44154, 527, 2884, 304, 38793, 449, 279, 88134, 753, 16603, 6373, 2068, 311, 1304, 2771, 16603, 374, 11953, 704, 315, 10977, 13, 6785, 3280, 420, 1060, 374, 3685, 6931, 4245, 311, 4827, 1109, 13783, 12056, 3090, 5990, 420, 1060, 627, 80069, 31286, 617, 16558, 3090, 36612, 1578, 389, 279, 46863, 30304, 54412, 11, 8051, 264, 44790, 55051, 5406, 374, 1457, 304, 2035, 13, 91212, 7510, 2019, 459, 20314, 4027, 20727, 279, 3090, 8141, 323, 6514, 6136, 11, 6740, 13, 46863, 30304, 32708, 10790, 33699, 44027, 3309, 10913, 19313, 13690, 5513, 433, 2163, 4376, 279, 7187, 704, 315, 3090, 13, 1283, 1071, 439, 279, 3090, 753, 1694, 79266, 323, 35292, 505, 279, 3090, 6136, 311, 279, 4029, 11, 433, 753, 409, 698, 1303, 279, 40825, 430, 1051, 13524, 279, 10168, 26951, 13, 37330, 839, 3090, 374, 2103, 1694, 4332, 369, 1884, 889, 1205, 433, 520, 279, 10846, 41763, 6150, 505, 220, 24, 25, 410, 264, 749, 13, 311, 220, 19, 25, 410, 281, 749, 627, 33, 408, 12050, 11, 10772, 369, 5754, 8246, 3280, 13, 4409, 43160, 527, 5644, 311, 1212, 810, 1109, 220, 17, 13, 20, 3610, 11441, 529, 5922, 315, 8761, 46643, 990, 7914, 265, 1441, 323, 25927, 58207, 7043, 4275, 285, 86, 647, 261, 10975, 10913, 19313, 13690, 5513, 594, 30463, 4628, 1436, 3240, 439, 4216, 439, 5936, 13, 1283, 1071, 420, 1060, 279, 4409, 690, 94123, 36608, 13, 6652, 11, 505, 35769, 16542, 11, 11226, 3002, 11, 927, 555, 36739, 10564, 28131, 17026, 11, 2212, 927, 311, 3005, 85, 3817, 5657, 323, 279, 10640, 6652, 4883, 9274, 13, 4275, 285, 86, 647, 261, 1071, 594, 30463, 4628, 323, 1023, 13709, 374, 1790, 23917, 1109, 10923, 5674, 311, 636, 311, 279, 1486, 315, 33921, 311, 387, 7373, 312, 2320, 4234, 13, 46837, 527, 4691, 311, 387, 8893, 449, 43160, 927, 279, 1828, 3892, 4038, 627, 32, 46863, 30304, 5333, 889, 29496, 389, 5587, 220, 1032, 339, 706, 1027, 7559, 13, 220, 2397, 12, 1060, 6418, 62412, 483, 45638, 24255, 8288, 2433, 25126, 574, 1766, 304, 6652, 3314, 13, 578, 5333, 574, 5068, 7554, 389, 5587, 220, 845, 11, 7633, 439, 52356, 323, 11000, 16066, 505, 52857, 13, 46863, 30304, 27572, 1071, 7742, 430, 264, 3070, 4562, 706, 1027, 30316, 315, 15013, 25126, 753, 13654, 627, 791, 11188, 753, 10564, 12332, 11060, 10229, 706, 15075, 48838, 753, 11188, 753, 10564, 28131, 17026, 13, 12149, 90577, 11, 4872, 315, 279, 15360, 1071, 279, 6412, 3445, 47995, 264, 27498, 30219, 488, 369, 40962, 11, 323, 459, 27373, 586, 19665, 3388, 369, 279, 48838, 4029, 13, 763, 5936, 220, 2366, 16, 11, 3766, 6506, 11, 28640, 14874, 5997, 11, 7376, 568, 1053, 4662, 279, 19665, 3388, 323, 2543, 433, 1139, 264, 220, 17662, 25389, 4500, 13, 763, 8835, 3892, 11188, 753, 10564, 40962, 13019, 1403, 8821, 43986, 311, 3665, 279, 19665, 3388, 13, 578, 11188, 753, 10564, 11060, 10229, 574, 28520, 3549, 11951, 311, 7782, 323, 14816, 279, 19665, 3388, 323, 5764, 682, 3116, 67798, 753, 30257, 2949, 279, 4029, 13, 578, 19665, 3388, 690, 7293, 1825, 311, 279, 586, 449, 14247, 6787, 369, 18637, 323, 32714, 627, 791, 19313, 6011, 315, 8371, 4720, 374, 7231, 279, 586, 459, 6776, 311, 3085, 4068, 389, 1828, 1060, 753, 6787, 369, 1614, 29799, 36658, 13, 578, 586, 649, 17988, 304, 389, 9974, 7677, 6787, 369, 279, 20717, 11015, 11, 20585, 41234, 11, 4892, 57870, 11, 735, 24705, 589, 8288, 731, 11, 40788, 309, 1982, 11, 4410, 19313, 323, 11104, 27109, 11182, 82, 13, 35695, 2997, 45888, 24322, 82, 11, 312, 1348, 20762, 11, 323, 9025, 18637, 323, 649, 387, 19894, 389, 279, 9476, 753, 3997, 25, 1472, 649, 9502, 6170, 1701, 420, 1376, 11, 420, 10795, 13, 3296, 2383, 11, 1614, 36658, 527, 2631, 311, 3493, 3674, 11, 7100, 323, 12434, 7720, 311, 19313, 5493, 627, 6161, 12669, 31483, 527, 3318, 311, 5376, 304, 29145, 6975, 1306, 279, 9474, 574, 9770, 311, 409, 37612, 51480, 553, 2978, 28116, 4245, 311, 38074, 12, 777, 13, 26068, 8225, 40702, 54491, 7553, 44612, 269, 6821, 13, 12220, 279, 28522, 449, 779, 1690, 4236, 6975, 2930, 11, 433, 574, 2653, 369, 2978, 7510, 311, 2567, 3839, 315, 889, 574, 3604, 24096, 627, 4599, 4236, 6052, 311, 304, 29145, 6975, 279, 2978, 1243, 17011, 37965, 519, 1572, 323, 4236, 323, 3070, 3697, 16054, 14363, 13, 3816, 12669, 6150, 11182, 3142, 8245, 20148, 95175, 17472, 2795, 1063, 4236, 1047, 1101, 1766, 7032, 11, 4726, 6522, 311, 459, 28116, 29287, 13, 17472, 1071, 279, 2978, 706, 1027, 85327, 369, 810, 1109, 1403, 1667, 311, 1505, 5627, 311, 10737, 439, 1664, 439, 311, 1614, 17294, 323, 20562, 12, 777, 76053, 13, 3005, 1071, 3293, 12678, 1501, 1193, 4330, 5157, 315, 20562, 12, 777, 9474, 25480, 323, 2978, 7510, 527, 38650, 814, 4070, 5616, 6656, 264, 9309, 13, 578, 2978, 690, 3136, 311, 19570, 279, 1205, 369, 28116, 449, 279, 3987, 24978, 6975, 4780, 311, 4725, 5990, 627, 17213, 369, 9601, 304, 19313, 690, 5371, 400, 16739, 11, 931, 304, 5066, 6918, 11006, 311, 1520, 4465, 264, 7982, 10723, 2890, 11501, 4315, 12822, 13, 12220, 813, 17480, 7884, 11, 19313, 5476, 13, 14662, 24100, 5294, 1071, 279, 28522, 706, 3549, 7191, 10723, 2890, 8631, 1105, 369, 3995, 1274, 11, 2737, 18639, 11, 1317, 50699, 315, 31398, 11, 24978, 89508, 11, 323, 15635, 311, 7106, 2890, 13, 578, 10736, 690, 733, 9017, 19313, 596, 30160, 7228, 11, 264, 14734, 4791, 79697, 12822, 4791, 12303, 2969, 2532, 6646, 42045, 304, 19261, 3995, 1274, 304, 11501, 10819, 449, 14247, 70401, 311, 86347, 323, 1862, 3600, 13, 578, 10736, 690, 387, 1511, 369, 459, 14800, 315, 279, 2068, 323, 1650, 4219, 304, 10913, 19313, 323, 3116, 4967, 16079, 927, 279, 3388, 315, 264, 1060, 13, 578, 3300, 690, 1101, 1520, 76820, 12822, 11, 2737, 47103, 12822, 389, 279, 46863, 30304, 54412, 627, 2181, 753, 264, 65174, 7057, 315, 2254, 10652, 13, 578, 18539, 323, 2853, 315, 11983, 304, 48838, 374, 1389, 5115, 16280, 482, 520, 264, 9200, 2237, 13, 26068, 8225, 753, 54491, 7553, 44612, 269, 6821, 389, 459, 5149, 555, 279, 48838, 4409, 32479, 315, 31480, 311, 1505, 264, 6425 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3617, 483, 8078, 10289, 6011, 1051, 2663, 311, 44954, 2030, 668, 41763, 6150, 8079, 311, 1520, 5687, 19858, 264, 5575, 20558, 449, 14604, 4819, 13, 25611, 564, 6406, 6150, 11182, 31966, 10783, 11, 18984, 30474, 320, 14965, 19284, 311, 4068, 389, 17401, 705, 1071, 279, 6671, 81700, 311, 1486, 1405, 2978, 7510, 6612, 279, 1205, 311, 1715, 4994, 1520, 13, 14853, 5687, 3697, 16654, 9099, 15319, 1418, 4560, 311, 19858, 279, 1716, 889, 574, 40460, 311, 279, 8952, 369, 6721, 1520, 13, 30474, 1071, 279, 10672, 3952, 2035, 4994, 279, 5912, 24978, 6376, 13, 2360, 1023, 4236, 1051, 6532, 477, 15902, 13, 44954, 2030, 668, 41763, 706, 1403, 5211, 9808, 449, 279, 2394, 483, 8078, 10289, 6011, 11, 264, 8331, 30474, 1071, 9087, 9006, 279, 6671, 430, 1790, 10819, 627, 59828, 7729, 5762, 24981, 420, 2046, 13, 578, 5426, 5578, 8625, 220, 19, 13, 1187, 264, 50680, 1418, 19313, 753, 52041, 5578, 16392, 10284, 11, 311, 220, 19, 13, 5332, 13, 37749, 362, 596, 33116, 36968, 5469, 2795, 584, 527, 9298, 6962, 7729, 14470, 15528, 1606, 35750, 5707, 7729, 527, 14470, 15528, 13, 578, 3958, 3754, 374, 35750, 5707, 7729, 7293, 52496, 398, 3485, 400, 1041, 264, 20929, 13, 36968, 5469, 3779, 1070, 753, 912, 1648, 311, 1440, 1268, 1317, 279, 1579, 7729, 690, 1566, 11, 1606, 279, 8706, 5696, 374, 779, 50235, 482, 279, 8690, 30215, 315, 19278, 13, 549, 6354, 7631, 369, 46595, 11383, 12992, 420, 1060, 11, 17919, 7729, 5190, 13, 2030, 36968, 5469, 2795, 7631, 374, 3604, 1523, 369, 279, 2132, 2046, 304, 264, 2872, 11, 4461, 4245, 311, 12050, 10223, 26870, 1606, 315, 1579, 7729, 520, 279, 14155, 627, 1966, 8079, 11, 5936, 220, 21, 11, 279, 48838, 4409, 9251, 690, 3412, 264, 990, 3882, 311, 4358, 11223, 2082, 41693, 369, 52888, 13, 578, 2082, 41693, 527, 20034, 520, 7859, 279, 18539, 315, 23756, 28036, 1701, 6177, 10886, 369, 1912, 11, 7447, 48840, 323, 16166, 52888, 13, 578, 9251, 323, 4029, 690, 387, 3025, 311, 3477, 279, 11223, 2082, 41693, 323, 6865, 19075, 505, 279, 48838, 28780, 9849, 13, 578, 990, 3882, 690, 1935, 2035, 520, 220, 20, 281, 749, 13, 449, 264, 8821, 6574, 369, 586, 4068, 3297, 220, 19, 339, 13, 578, 11223, 1054, 2059, 18354, 6247, 2476, 574, 8040, 555, 279, 4409, 6783, 99463, 328, 13900, 8925, 311, 4783, 5751, 4275, 25068, 439, 264, 8446, 311, 2187, 29865, 52888, 323, 66743, 2671, 4409, 9328, 13, 1102, 5764, 19075, 369, 2380, 4595, 315, 15690, 52888, 11, 323, 1403, 4595, 315, 13643, 52888, 627, 626, 86892, 28387, 3280, 4131, 311, 459, 842, 3432, 320, 38888, 8, 304, 19313, 13, 47363, 31248, 6821, 389, 3249, 507, 33653, 374, 7452, 922, 86721, 5221, 974, 357, 86892, 31800, 2011, 387, 7108, 1603, 5936, 1176, 11, 477, 12050, 1436, 636, 264, 7154, 220, 1049, 54135, 11989, 13, 10771, 311, 19313, 6011, 315, 30978, 7978, 11, 357, 86892, 12056, 31800, 5353, 810, 1109, 220, 23, 46149, 11441, 304, 5674, 311, 1614, 60395, 1475, 1060, 13, 507, 33653, 753, 11291, 31053, 2795, 433, 753, 4382, 22027, 13, 330, 2746, 499, 617, 264, 19019, 38960, 13587, 449, 264, 1707, 315, 9501, 389, 433, 482, 264, 2653, 9501, 482, 323, 433, 4131, 304, 3729, 449, 46362, 11, 902, 374, 13524, 5707, 323, 7091, 11, 279, 9699, 34427, 279, 5707, 1475, 892, 13, 3011, 11767, 603, 311, 3515, 264, 6671, 1405, 279, 82211, 5900, 3201, 1359, 31053, 1071, 13, 1283, 3779, 279, 9266, 374, 8010, 1070, 374, 2103, 12056, 389, 1063, 16700, 16609, 779, 628, 4336, 323, 9462, 388, 690, 2103, 636, 704, 1405, 323, 994, 5995, 627, 44503, 19313, 31276, 5602, 4726, 16048, 304, 26690, 7969, 304, 7552, 11, 14691, 264, 3831, 13654, 9327, 13, 26361, 84038, 73349, 6588, 7881, 2795, 279, 2463, 27678, 88, 3158, 374, 7154, 7373, 26403, 505, 34606, 8274, 52443, 2683, 18151, 323, 433, 7077, 10819, 1109, 568, 3685, 13, 1283, 2795, 304, 279, 1162, 315, 3959, 331, 2142, 6406, 11, 13490, 220, 972, 4, 315, 2860, 2536, 66911, 14740, 304, 1403, 4038, 3312, 988, 311, 17715, 11, 4661, 220, 16, 304, 220, 20, 7032, 67503, 25402, 13, 1283, 1071, 11961, 449, 220, 5894, 15, 810, 7032, 1109, 994, 279, 28522, 4295, 11, 374, 264, 23649, 12627, 13, 3959, 331, 2142, 6406, 3779, 220, 14648, 7032, 11, 1566, 2305, 449, 26690, 1457, 520, 220, 18, 13, 23, 71724, 13, 3011, 753, 1120, 264, 4376, 264, 3346, 3485, 279, 3335, 3428, 743, 1603, 279, 28522, 6137, 13, 25611, 564, 6406, 753, 2683, 1752, 4478, 11299, 311, 220, 20, 13, 17, 71724, 304, 7552, 34644, 6406, 1101, 13241, 11, 26156, 311, 220, 19, 13, 23, 71724, 627, 5001, 331, 2142, 6406, 97345, 3952, 7504, 7159, 311, 29251, 17517, 369, 32714, 311, 2380, 14189, 14016, 13, 362, 13205, 14800, 315, 279, 82132, 5764, 3634, 369, 1403, 5217, 24958, 13, 97345, 1101, 12054, 264, 5406, 315, 7537, 311, 10292, 264, 5226, 311, 393, 70053, 38943, 315, 48838, 369, 2955, 32714, 311, 279, 40839, 753, 5274, 13, 99983, 18637, 2997, 3634, 369, 459, 10368, 323, 39890, 12764, 323, 810, 3634, 369, 59859, 323, 8735, 7510, 13, 578, 5226, 690, 2997, 32714, 311, 14189, 17999, 13077, 449, 264, 5357, 389, 1862, 3600, 11, 2737, 2167, 38217, 5789, 369, 3026, 323, 3278, 2391, 304, 29145, 6721, 21728, 13, 362, 220, 22, 11477, 8835, 4261, 2011, 1935, 2035, 1603, 904, 5226, 374, 3604, 22034, 13, 97345, 1101, 12054, 264, 5406, 315, 7537, 369, 264, 5226, 449, 445, 11706, 78113, 315, 48838, 323, 23947, 311, 2955, 279, 220, 1272, 11, 931, 34047, 21117, 82132, 5369, 627, 22993, 3136, 311, 2778, 369, 264, 46863, 30304, 893, 7554, 369, 4661, 1403, 5672, 13, 78318, 88, 19101, 4771, 2362, 21256, 24082, 309, 320, 46864, 8288, 309, 705, 574, 1566, 3970, 5587, 220, 845, 520, 46863, 30304, 91212, 16666, 13, 21839, 1054, 93906, 648, 2476, 555, 4885, 323, 3070, 11, 21256, 24082, 309, 13656, 220, 21, 7693, 16615, 323, 50542, 922, 220, 8848, 16701, 13, 5414, 1841, 574, 1766, 16075, 304, 279, 12056, 2919, 1306, 813, 52979, 220, 508, 8931, 9909, 315, 46863, 30304, 520, 11291, 753, 24561, 554, 3221, 279, 2385, 315, 10640, 34644, 13, 578, 1841, 13282, 3892, 4443, 3673, 11, 2737, 813, 9072, 902, 24082, 309, 374, 56452, 3970, 2085, 13, 735, 24, 5089, 27573, 4745, 311, 25539, 24082, 309, 1306, 12875, 34156, 279, 893, 753, 41466, 389, 264, 9025, 1139, 264, 31230, 7091, 3158, 13, 33634, 889, 16008, 477, 706, 2038, 922, 24082, 309, 374, 28932, 311, 3729, 279, 46863, 30304, 10289, 6011, 520, 25, 1393, 91, 76098, 19925, 8651, 91, 16853, 50, 9487, 49422, 11182, 6787, 311, 8395, 709, 311, 220, 806, 2902, 7259, 27464, 420, 1060, 13, 4203, 17890, 4027, 8316, 690, 1935, 2035, 389, 2380, 6732, 11, 24894, 311, 29866, 220, 508, 11, 2949, 279, 62088, 12299, 30353, 2053, 59200, 320, 7934, 10725, 8, 3158, 11, 323, 304, 279, 6344, 337, 9334, 61358, 13, 384, 1894, 62174, 11, 62088, 49422, 11182, 53206, 3987, 311, 3240, 10683, 32031, 4027, 7677, 1828, 2046, 13, 1838, 3421, 32257, 520, 420, 892, 315, 279, 1060, 6276, 369, 3428, 20653, 8127, 4027, 1418, 18054, 36865, 40373, 323, 51024, 40373, 8441, 13, 578, 13205, 8316, 527, 264, 42271, 315, 22972, 311, 1520, 279, 5933, 26031, 323, 8108, 51024, 40373, 430, 649, 90536, 1579, 21261, 4027, 4455, 2391, 279, 4725, 4027, 3280, 13, 38081, 2585, 11193, 690, 387, 45421, 389, 3682, 5754, 2336, 2391, 8395, 7677, 13, 64348, 304, 279, 6424, 315, 62088, 11, 439, 1664, 439, 704, 6852, 5789, 304, 279, 6344, 337, 9334, 61358, 527, 26160, 311, 2567, 872, 11276, 323, 14365, 8036, 2391, 279, 3814, 4207, 311, 5766, 4754, 16603, 25949, 627, 33, 408, 5657, 323, 57857, 11182, 25283, 311, 617, 264, 2539, 51680, 315, 7474, 7620, 11, 369, 279, 1176, 892, 304, 1403, 1667, 13, 2030, 20801, 5352, 7631, 1436, 3152, 16087, 5266, 1524, 10819, 1109, 4725, 13, 48838, 39272, 323, 4158, 753, 42287, 10690, 10975, 26068, 8225, 5513, 6699, 1205, 311, 387, 10235, 389, 279, 1176, 1938, 315, 12506, 1210, 2028, 374, 279, 832, 430, 1455, 6699, 2216, 1205, 311, 1304, 2771, 430, 814, 617, 4319, 839, 389, 279, 13470, 11, 369, 5936, 18172, 520, 220, 21, 1097, 13, 1102, 753, 264, 636, 709, 4216, 955, 315, 1938, 11, 1606, 420, 374, 994, 584, 3207, 2133, 311, 617, 682, 315, 1057, 7474, 29135, 1210, 5936, 220, 20, 339, 374, 1101, 279, 12506, 2457, 369, 16587, 18872, 323, 1023, 7620, 430, 1629, 505, 5209, 12278, 2957, 1555, 6287, 13, 1472, 649, 4254, 2930, 477, 304, 29145, 13, 578, 7474, 1054, 1387, 2239, 863, 79774, 279, 3280, 1288, 387, 2561, 420, 7950, 627, 32, 2394, 483, 8078, 5333, 706, 1027, 12800, 304, 264, 282, 95391, 55413, 5784, 13, 1952, 5587, 220, 1032, 339, 11, 220, 2366, 17, 11, 220, 1627, 1060, 2362, 19803, 12930, 27562, 315, 2394, 483, 8078, 574, 10717, 389, 29866, 220, 1627, 1990, 9671, 13075, 323, 2394, 483, 8078, 13, 3005, 574, 11684, 449, 50995, 282, 95391, 26153, 505, 279, 23947, 3158, 1139, 10913, 19313, 1306, 264, 2778, 315, 1077, 42981, 56747, 43522, 264, 8518, 12472, 315, 83734, 51715, 3418, 347, 606, 29679, 1903, 315, 282, 95391, 13, 362, 3544, 3392, 315, 11667, 574, 1101, 31589, 304, 279, 8163, 13, 362, 8762, 24023, 574, 29440, 323, 6004, 13, 362, 52335, 304, 279, 7458, 574, 23415, 927, 311, 19313, 73703, 12, 3736, 66187, 13, 27562, 753, 8163, 4131, 520, 279, 17102, 315, 264, 1317, 9860, 8990, 555, 279, 10913, 19313, 26166, 44056, 8068, 323, 11263, 264, 7447, 11477, 22156, 5784, 6957, 279, 58506, 23947, 3158, 13, 27562, 374, 74732, 304, 279, 25611, 564, 6406, 29783, 753, 57246, 13, 3005, 12580, 5361, 5623, 5552, 10405, 11, 323, 832, 1797, 315, 1716, 39332, 13, 362, 3293, 22531, 315, 282, 95391, 304, 279, 5654, 706, 1027, 10815, 311, 459, 14529, 60553, 42620, 304, 10913, 19313, 627, 35, 3843, 22955, 10043, 374, 36197, 369, 264, 10121, 16239, 264, 62553, 11092, 430, 19857, 264, 25611, 564, 6406, 5754, 369, 3892, 4207, 6740, 13658, 13, 362, 220, 2166, 4771, 6418, 19174, 11092, 5696, 574, 10007, 11130, 389, 10058, 10357, 416, 276, 9728, 11, 994, 279, 10121, 10222, 1120, 1603, 220, 18, 25, 966, 281, 749, 13, 10771, 311, 279, 25611, 564, 6406, 29783, 753, 8410, 11, 568, 5320, 12616, 1022, 279, 17308, 1306, 568, 12504, 2555, 304, 813, 22239, 13, 578, 18768, 23255, 8800, 1202, 3185, 11, 993, 9585, 279, 2865, 315, 62553, 4028, 279, 82211, 13, 578, 5696, 574, 26126, 555, 1812, 1233, 323, 6004, 520, 279, 6237, 13, 2360, 52946, 1051, 11136, 627, 6486, 596, 8410, 51730, 15341, 13611, 258, 61881, 330, 10156, 1908, 702, 32, 25611, 564, 6406, 29783, 753, 32724, 706, 1027, 23803, 315, 904, 65328, 1306, 264, 19094, 10658, 304, 4216, 7552, 13, 578, 11182, 18919, 2663, 279, 10658, 1054, 4345, 1908, 11453, 1952, 7552, 220, 19, 339, 11, 15341, 13611, 258, 2663, 220, 24, 12, 16, 12, 16, 13, 1283, 3309, 279, 39899, 813, 836, 11, 430, 568, 1047, 264, 7236, 11, 323, 430, 4423, 1288, 2586, 636, 1461, 1603, 568, 482, 12929, 11, 330, 1517, 3153, 704, 323, 44164, 4423, 3343, 32724, 24565, 473, 29158, 1766, 13611, 258, 430, 13658, 389, 264, 42623, 5754, 304, 12044, 13154, 41560, 13, 578, 98787, 574, 10791, 389, 279, 27158, 753, 2547, 6382, 22609, 439, 13611, 258, 711, 552, 10373, 311, 11203, 1523, 323, 2567, 813, 6206, 9621, 13, 13611, 258, 3309, 279, 39899, 568, 1047, 264, 40536, 323, 264, 22145, 13, 578, 423, 6830, 753, 5274, 6004, 2547, 6730, 22609, 505, 279, 43787, 14269, 1603, 32724, 24565, 473, 29158, 6689, 13611, 258, 889, 574, 6689, 11157, 1306, 711, 7169, 10373, 311, 636, 389, 279, 5015, 11, 323, 26449, 311, 5662, 9017, 813, 29142, 7198, 13, 10289, 1550, 539, 1505, 264, 22145, 477, 6166, 389, 13611, 258, 520, 279, 6237, 627, 32, 5333, 5068, 439, 7554, 555, 279, 23947, 10289, 22555, 7159, 574, 1766, 5710, 6740, 3221, 46863, 30304, 13, 19313, 3314, 10289, 16846, 311, 264, 1650, 315, 264, 7458, 927, 459, 8126, 1201, 479, 389, 29866, 220, 1627, 994, 814, 11352, 279, 5333, 889, 574, 21646, 311, 3816, 12669, 520, 279, 892, 315, 279, 10121, 13, 10289, 656, 539, 15562, 4205, 32427, 922, 279, 4648, 315, 279, 52356, 5333, 323, 2019, 1070, 374, 912, 5353, 369, 17035, 304, 279, 4029, 627, 28055, 279, 3293, 60553, 16779, 315, 1403, 1579, 2978, 4236, 304, 23947, 11, 10913, 19313, 2383, 13627, 2019, 279, 8209, 2403, 435, 95391, 374, 1618, 11, 439, 1664, 13, 3959, 331, 2142, 6406, 29783, 51075, 27562, 10975, 26068, 8225, 5513, 11, 279, 3392, 315, 282, 95391, 6273, 311, 3116, 41936, 315, 9462, 374, 3403, 311, 5622, 4423, 13, 1628, 11, 1070, 753, 912, 1648, 369, 3932, 311, 1440, 1268, 1790, 814, 3207, 4737, 13, 1283, 1071, 449, 12079, 17032, 1070, 596, 912, 1614, 477, 6918, 38189, 449, 5363, 311, 1268, 1790, 315, 264, 5623, 649, 733, 1139, 264, 15530, 13, 27562, 1071, 433, 753, 5423, 11660, 369, 3995, 1274, 889, 1253, 539, 13383, 435, 95391, 374, 304, 264, 15530, 814, 4070, 1027, 2728, 505, 264, 4333, 13, 10771, 311, 279, 356, 9607, 7813, 11, 16779, 505, 435, 95391, 4315, 27294, 617, 24657, 67, 304, 279, 3347, 1403, 1667, 627, 791, 9671, 13075, 4409, 9251, 706, 21489, 1403, 502, 3697, 311, 5266, 1403, 49791, 10093, 389, 279, 15177, 13, 11519, 8663, 15168, 323, 76249, 816, 4414, 690, 5266, 279, 16712, 315, 4846, 15177, 1105, 29627, 83, 45714, 323, 11284, 346, 30227, 4129, 16014, 2637, 6832, 10093, 33663, 6790, 220, 2148, 267, 13, 8663, 15168, 374, 659, 88984, 323, 706, 12439, 304, 9671, 13075, 369, 1403, 323, 264, 4376, 1667, 13, 5414, 4092, 5764, 990, 449, 279, 40432, 23298, 6011, 11, 24435, 304, 24583, 369, 279, 70819, 11, 323, 66515, 264, 64114, 3691, 6678, 304, 23947, 13, 1283, 16388, 3136, 813, 70438, 9045, 311, 16988, 813, 2254, 4029, 13, 816, 4414, 25241, 23373, 36968, 942, 69114, 323, 594, 4591, 304, 10913, 19313, 369, 11888, 1667, 13, 5414, 4092, 304, 8246, 5764, 4857, 810, 1109, 220, 8273, 10632, 323, 568, 16388, 311, 16988, 1579, 2978, 4236, 449, 279, 9251, 311, 3719, 3938, 6164, 13, 11995, 9732, 5633, 690, 387, 51748, 304, 927, 279, 1828, 5743, 315, 5672, 13, 362, 16287, 91781, 304, 22260, 690, 387, 5762, 5936, 220, 717, 2391, 279, 4409, 9251, 6574, 627, 32, 5234, 73710, 320, 68073, 8, 1167, 20262, 11, 4907, 73916, 7447, 17633, 11983, 4500, 374, 13205, 369, 279, 84252, 11182, 315, 48838, 753, 5526, 14013, 28931, 3158, 13, 578, 2380, 3446, 11, 220, 1927, 5089, 2447, 374, 3685, 311, 1464, 5015, 555, 279, 842, 315, 279, 1060, 13, 31421, 39119, 449, 12093, 537, 11050, 15620, 2795, 279, 5915, 374, 311, 1893, 459, 24955, 65487, 73916, 1054, 7099, 18811, 863, 4857, 430, 19159, 810, 4907, 1109, 433, 60606, 13, 39119, 2795, 279, 7138, 315, 279, 4500, 374, 2731, 1109, 35908, 75, 323, 1005, 119825, 402, 65, 76254, 10283, 430, 617, 1027, 91978, 311, 279, 1486, 814, 527, 71113, 10796, 15729, 13, 1283, 1071, 433, 2605, 5919, 459, 6776, 311, 2187, 810, 1274, 311, 3974, 304, 48838, 13, 18165, 6193, 19074, 304, 48838, 374, 30829, 279, 59136, 1742, 4500, 902, 690, 4668, 13238, 21988, 323, 1023, 1054, 13553, 863, 7384, 323, 690, 2997, 220, 1591, 832, 49607, 323, 8223, 1403, 49607, 3157, 4478, 8316, 323, 220, 2096, 13217, 12908, 13, 1556, 15740, 315, 4528, 1579, 17915, 26006, 649, 387, 3970, 2212, 279, 3224, 11, 323, 304, 9919, 1093, 23947, 323, 16759, 13, 39119, 2795, 279, 4500, 17503, 304, 1584, 449, 19313, 753, 4363, 1005, 14236, 902, 37167, 17915, 2949, 16036, 5789, 627, 32, 4027, 14760, 704, 8079, 6693, 520, 279, 4410, 3002, 8949, 26568, 304, 3816, 12669, 13, 8949, 4027, 43160, 16846, 520, 220, 605, 25, 914, 264, 749, 13, 311, 6821, 315, 264, 17677, 4027, 520, 279, 3254, 3446, 10960, 389, 13692, 220, 20, 339, 6825, 13, 36037, 82, 33111, 389, 279, 6237, 11352, 279, 4027, 1047, 9041, 311, 279, 10960, 753, 17677, 10594, 13, 578, 10960, 753, 4027, 56807, 11218, 1887, 4745, 719, 53206, 1051, 3025, 311, 2231, 704, 279, 4027, 13, 2360, 832, 574, 15902, 13, 21428, 311, 279, 4857, 323, 1202, 8970, 374, 13240, 520, 2212, 220, 24, 7716, 52949, 11441, 627, 791, 9974, 5234, 43286, 55887, 15686, 28219, 1022, 8079, 520, 279, 3959, 331, 2142, 6406, 14930, 304, 3816, 12669, 13, 578, 5043, 78780, 1567, 27741, 264, 7029, 8205, 315, 70402, 1855, 1060, 13, 578, 55887, 15686, 374, 1101, 264, 28284, 3009, 369, 279, 1948, 220, 1399, 21931, 432, 536, 78, 41405, 10229, 320, 6616, 5158, 8, 1322, 41761, 78, 452, 10725, 95213, 11378, 13, 578, 1567, 374, 5762, 304, 15664, 449, 279, 10913, 19313, 4029, 11, 323, 61191, 1063, 315, 279, 1888, 23579, 323, 51876, 1855, 1060, 13, 578, 5234, 43286, 55887, 15686, 3136, 1555, 7884, 11714, 449, 11215, 596, 65071, 33382, 612, 15996, 14075, 432, 34807, 58344, 3794, 38199, 420, 6693, 520, 220, 605, 25, 410, 264, 749, 627, 32, 893, 13487, 304, 279, 13419, 315, 264, 3816, 12669, 893, 574, 30231, 311, 9527, 7742, 304, 34644, 6406, 28317, 7301, 13, 220, 1591, 4771, 6418, 8375, 65, 5477, 12167, 28280, 574, 30231, 311, 220, 508, 1667, 304, 9527, 369, 2132, 38775, 89339, 323, 26359, 311, 5379, 44214, 13, 1952, 6287, 220, 508, 11, 220, 2366, 15, 11, 28280, 11096, 220, 1591, 4771, 6418, 43812, 12468, 819, 332, 323, 220, 1987, 4771, 6418, 49243, 23287, 569, 304, 264, 7234, 311, 10773, 220, 4103, 4771, 6418, 17520, 12201, 323, 27669, 813, 1841, 13, 28280, 753, 14065, 89239, 6122, 798, 1071, 279, 3440, 574, 59461, 555, 57175, 323, 72170, 13, 28280, 3309, 4379, 568, 51280, 813, 11996, 304, 279, 15489, 1306, 12201, 2231, 709, 264, 4465, 13, 12201, 753, 2547, 574, 11352, 279, 1828, 6693, 555, 264, 9048, 380, 389, 11824, 3845, 9728, 3221, 549, 815, 13, 29866, 220, 1627, 3221, 46863, 30304, 13, 23287, 569, 323, 12468, 819, 332, 1855, 4036, 4330, 1060, 9527, 3878, 369, 872, 961, 304, 279, 10102, 6931, 420, 1060, 627, 644, 279, 5149, 311, 10772, 369, 279, 5108, 7474, 8545, 4027, 3280, 11, 88134, 7510, 617, 3940, 32031, 44154, 13, 1952, 7742, 264, 32031, 8395, 3952, 2035, 3221, 42609, 19149, 1405, 1990, 220, 1041, 323, 220, 3443, 27464, 527, 3685, 311, 387, 27724, 1022, 20585, 5475, 9728, 220, 972, 323, 220, 914, 13, 19157, 12092, 3297, 323, 5651, 11, 279, 3158, 12580, 3485, 5578, 4027, 5820, 13, 3959, 331, 2142, 5165, 20585, 586, 22747, 24687, 11, 622, 2706, 648, 12225, 273, 11, 2795, 264, 2697, 16603, 1457, 505, 14400, 44154, 3445, 1694, 3025, 311, 636, 264, 2731, 3790, 389, 99482, 323, 304, 279, 7474, 13, 578, 32031, 44154, 527, 2884, 304, 38793, 449, 279, 88134, 753, 16603, 6373, 2068, 311, 1304, 2771, 16603, 374, 11953, 704, 315, 10977, 13, 6785, 3280, 420, 1060, 374, 3685, 6931, 4245, 311, 4827, 1109, 13783, 12056, 3090, 5990, 420, 1060, 627, 80069, 31286, 617, 16558, 3090, 36612, 1578, 389, 279, 46863, 30304, 54412, 11, 8051, 264, 44790, 55051, 5406, 374, 1457, 304, 2035, 13, 91212, 7510, 2019, 459, 20314, 4027, 20727, 279, 3090, 8141, 323, 6514, 6136, 11, 6740, 13, 46863, 30304, 32708, 10790, 33699, 44027, 3309, 10913, 19313, 13690, 5513, 433, 2163, 4376, 279, 7187, 704, 315, 3090, 13, 1283, 1071, 439, 279, 3090, 753, 1694, 79266, 323, 35292, 505, 279, 3090, 6136, 311, 279, 4029, 11, 433, 753, 409, 698, 1303, 279, 40825, 430, 1051, 13524, 279, 10168, 26951, 13, 37330, 839, 3090, 374, 2103, 1694, 4332, 369, 1884, 889, 1205, 433, 520, 279, 10846, 41763, 6150, 505, 220, 24, 25, 410, 264, 749, 13, 311, 220, 19, 25, 410, 281, 749, 627, 33, 408, 12050, 11, 10772, 369, 5754, 8246, 3280, 13, 4409, 43160, 527, 5644, 311, 1212, 810, 1109, 220, 17, 13, 20, 3610, 11441, 529, 5922, 315, 8761, 46643, 990, 7914, 265, 1441, 323, 25927, 58207, 7043, 4275, 285, 86, 647, 261, 10975, 10913, 19313, 13690, 5513, 594, 30463, 4628, 1436, 3240, 439, 4216, 439, 5936, 13, 1283, 1071, 420, 1060, 279, 4409, 690, 94123, 36608, 13, 6652, 11, 505, 35769, 16542, 11, 11226, 3002, 11, 927, 555, 36739, 10564, 28131, 17026, 11, 2212, 927, 311, 3005, 85, 3817, 5657, 323, 279, 10640, 6652, 4883, 9274, 13, 4275, 285, 86, 647, 261, 1071, 594, 30463, 4628, 323, 1023, 13709, 374, 1790, 23917, 1109, 10923, 5674, 311, 636, 311, 279, 1486, 315, 33921, 311, 387, 7373, 312, 2320, 4234, 13, 46837, 527, 4691, 311, 387, 8893, 449, 43160, 927, 279, 1828, 3892, 4038, 627, 32, 46863, 30304, 5333, 889, 29496, 389, 5587, 220, 1032, 339, 706, 1027, 7559, 13, 220, 2397, 12, 1060, 6418, 62412, 483, 45638, 24255, 8288, 2433, 25126, 574, 1766, 304, 6652, 3314, 13, 578, 5333, 574, 5068, 7554, 389, 5587, 220, 845, 11, 7633, 439, 52356, 323, 11000, 16066, 505, 52857, 13, 46863, 30304, 27572, 1071, 7742, 430, 264, 3070, 4562, 706, 1027, 30316, 315, 15013, 25126, 753, 13654, 627, 791, 11188, 753, 10564, 12332, 11060, 10229, 706, 15075, 48838, 753, 11188, 753, 10564, 28131, 17026, 13, 12149, 90577, 11, 4872, 315, 279, 15360, 1071, 279, 6412, 3445, 47995, 264, 27498, 30219, 488, 369, 40962, 11, 323, 459, 27373, 586, 19665, 3388, 369, 279, 48838, 4029, 13, 763, 5936, 220, 2366, 16, 11, 3766, 6506, 11, 28640, 14874, 5997, 11, 7376, 568, 1053, 4662, 279, 19665, 3388, 323, 2543, 433, 1139, 264, 220, 17662, 25389, 4500, 13, 763, 8835, 3892, 11188, 753, 10564, 40962, 13019, 1403, 8821, 43986, 311, 3665, 279, 19665, 3388, 13, 578, 11188, 753, 10564, 11060, 10229, 574, 28520, 3549, 11951, 311, 7782, 323, 14816, 279, 19665, 3388, 323, 5764, 682, 3116, 67798, 753, 30257, 2949, 279, 4029, 13, 578, 19665, 3388, 690, 7293, 1825, 311, 279, 586, 449, 14247, 6787, 369, 18637, 323, 32714, 627, 791, 19313, 6011, 315, 8371, 4720, 374, 7231, 279, 586, 459, 6776, 311, 3085, 4068, 389, 1828, 1060, 753, 6787, 369, 1614, 29799, 36658, 13, 578, 586, 649, 17988, 304, 389, 9974, 7677, 6787, 369, 279, 20717, 11015, 11, 20585, 41234, 11, 4892, 57870, 11, 735, 24705, 589, 8288, 731, 11, 40788, 309, 1982, 11, 4410, 19313, 323, 11104, 27109, 11182, 82, 13, 35695, 2997, 45888, 24322, 82, 11, 312, 1348, 20762, 11, 323, 9025, 18637, 323, 649, 387, 19894, 389, 279, 9476, 753, 3997, 25, 1472, 649, 9502, 6170, 1701, 420, 1376, 11, 420, 10795, 13, 3296, 2383, 11, 1614, 36658, 527, 2631, 311, 3493, 3674, 11, 7100, 323, 12434, 7720, 311, 19313, 5493, 627, 6161, 12669, 31483, 527, 3318, 311, 5376, 304, 29145, 6975, 1306, 279, 9474, 574, 9770, 311, 409, 37612, 51480, 553, 2978, 28116, 4245, 311, 38074, 12, 777, 13, 26068, 8225, 40702, 54491, 7553, 44612, 269, 6821, 13, 12220, 279, 28522, 449, 779, 1690, 4236, 6975, 2930, 11, 433, 574, 2653, 369, 2978, 7510, 311, 2567, 3839, 315, 889, 574, 3604, 24096, 627, 4599, 4236, 6052, 311, 304, 29145, 6975, 279, 2978, 1243, 17011, 37965, 519, 1572, 323, 4236, 323, 3070, 3697, 16054, 14363, 13, 3816, 12669, 6150, 11182, 3142, 8245, 20148, 95175, 17472, 2795, 1063, 4236, 1047, 1101, 1766, 7032, 11, 4726, 6522, 311, 459, 28116, 29287, 13, 17472, 1071, 279, 2978, 706, 1027, 85327, 369, 810, 1109, 1403, 1667, 311, 1505, 5627, 311, 10737, 439, 1664, 439, 311, 1614, 17294, 323, 20562, 12, 777, 76053, 13, 3005, 1071, 3293, 12678, 1501, 1193, 4330, 5157, 315, 20562, 12, 777, 9474, 25480, 323, 2978, 7510, 527, 38650, 814, 4070, 5616, 6656, 264, 9309, 13, 578, 2978, 690, 3136, 311, 19570, 279, 1205, 369, 28116, 449, 279, 3987, 24978, 6975, 4780, 311, 4725, 5990, 627, 17213, 369, 9601, 304, 19313, 690, 5371, 400, 16739, 11, 931, 304, 5066, 6918, 11006, 311, 1520, 4465, 264, 7982, 10723, 2890, 11501, 4315, 12822, 13, 12220, 813, 17480, 7884, 11, 19313, 5476, 13, 14662, 24100, 5294, 1071, 279, 28522, 706, 3549, 7191, 10723, 2890, 8631, 1105, 369, 3995, 1274, 11, 2737, 18639, 11, 1317, 50699, 315, 31398, 11, 24978, 89508, 11, 323, 15635, 311, 7106, 2890, 13, 578, 10736, 690, 733, 9017, 19313, 596, 30160, 7228, 11, 264, 14734, 4791, 79697, 12822, 4791, 12303, 2969, 2532, 6646, 42045, 304, 19261, 3995, 1274, 304, 11501, 10819, 449, 14247, 70401, 311, 86347, 323, 1862, 3600, 13, 578, 10736, 690, 387, 1511, 369, 459, 14800, 315, 279, 2068, 323, 1650, 4219, 304, 10913, 19313, 323, 3116, 4967, 16079, 927, 279, 3388, 315, 264, 1060, 13, 578, 3300, 690, 1101, 1520, 76820, 12822, 11, 2737, 47103, 12822, 389, 279, 46863, 30304, 54412, 627, 2181, 753, 264, 65174, 7057, 315, 2254, 10652, 13, 578, 18539, 323, 2853, 315, 11983, 304, 48838, 374, 1389, 5115, 16280, 482, 520, 264, 9200, 2237, 13, 26068, 8225, 753, 54491, 7553, 44612, 269, 6821, 389, 459, 5149, 555, 279, 48838, 4409, 32479, 315, 31480, 311, 1505, 264, 6425 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095 ]
4,096
[ 13, 763, 459, 5149, 311, 12192, 10652, 922, 279, 11774, 315, 11983, 74935, 323, 1202, 2515, 389, 8420, 323, 9873, 11, 279, 48838, 4409, 32479, 315, 31480, 706, 3549, 1054, 791, 5664, 9009, 31433, 38756, 863, 311, 1505, 264, 6425, 311, 279, 32027, 11983, 39259, 13, 32479, 12432, 73227, 39119, 1071, 11, 369, 23234, 11, 11983, 374, 832, 315, 279, 8706, 73635, 994, 433, 4131, 311, 24009, 323, 51110, 8420, 13, 39119, 1071, 11983, 430, 374, 704, 315, 5662, 369, 1690, 3135, 304, 482, 539, 1193, 264, 6996, 315, 9511, 482, 719, 264, 7982, 30069, 1990, 889, 4375, 323, 6439, 304, 48838, 13, 763, 459, 5149, 311, 2586, 709, 449, 264, 6425, 11, 279, 32479, 16388, 311, 6865, 505, 8420, 323, 9873, 3515, 27129, 24009, 477, 51110, 7487, 12153, 311, 1505, 17049, 5209, 48831, 11983, 13, 2057, 39580, 701, 7899, 311, 279, 20770, 311, 1520, 11886, 48838, 753, 32027, 11983, 11774, 11, 4034, 279, 48838, 4409, 32479, 315, 31480, 3997, 25, 37920, 331, 15578, 2726, 627, 32, 9048, 5227, 574, 14763, 304, 459, 4216, 6693, 4027, 7884, 3221, 9671, 13075, 13, 36037, 82, 449, 34644, 6406, 6785, 11182, 2360, 13, 16, 16846, 311, 279, 63573, 389, 2895, 73825, 9728, 389, 279, 25611, 11059, 11188, 5165, 41046, 8329, 1120, 1603, 220, 17, 264, 749, 13, 3277, 814, 11721, 389, 279, 6237, 11, 53206, 1766, 264, 12468, 818, 65, 6438, 9048, 5227, 6724, 77836, 291, 304, 39885, 13, 578, 10366, 519, 315, 279, 7458, 574, 3025, 311, 12731, 2085, 11134, 13, 578, 9048, 5227, 323, 1202, 4553, 8970, 1051, 264, 4686, 4814, 627, 791, 3363, 315, 9671, 13075, 706, 1027, 22034, 264, 400, 16, 13, 20, 3610, 13500, 311, 26310, 3887, 264, 502, 3428, 22881, 23855, 23756, 13, 24987, 389, 279, 23756, 374, 3685, 311, 3240, 1828, 6186, 449, 264, 28448, 8736, 2457, 315, 279, 4498, 315, 220, 2366, 18, 13, 578, 23756, 690, 387, 24026, 555, 34644, 6406, 34053, 20817, 8304, 13, 24086, 11006, 369, 279, 220, 17, 13, 2131, 3610, 18160, 2447, 690, 2586, 505, 264, 12332, 11050, 8527, 24668, 323, 279, 3778, 45503, 9878, 3298, 482, 300, 1664, 439, 505, 5066, 17629, 3197, 11441, 12054, 555, 279, 39856, 304, 220, 2366, 16, 627, 791, 3959, 331, 2142, 6406, 9849, 374, 13126, 264, 5426, 2068, 430, 8779, 8518, 3424, 7980, 477, 13707, 2793, 304, 4907, 15374, 7224, 13, 12220, 872, 5912, 12396, 6574, 8079, 11, 74655, 6688, 872, 16387, 315, 14765, 311, 264, 11175, 369, 459, 2926, 10165, 315, 459, 48721, 369, 15643, 5693, 11, 477, 28943, 8825, 2755, 22456, 9785, 12634, 13, 578, 2068, 6276, 3424, 7980, 477, 13707, 311, 2343, 1203, 279, 3300, 369, 4907, 11297, 7224, 304, 872, 3424, 3827, 19123, 13, 578, 2068, 374, 3970, 439, 459, 5149, 311, 1520, 3665, 41016, 1579, 4907, 7194, 627, 96375, 30304, 4379, 527, 10371, 279, 586, 369, 904, 2038, 430, 1436, 1520, 1505, 264, 7554, 220, 2397, 4771, 6418, 5333, 13, 49947, 1071, 62412, 483, 45638, 24255, 8288, 2433, 25126, 1253, 7831, 505, 52857, 13, 578, 17118, 3778, 706, 14198, 7013, 323, 6548, 11, 374, 220, 20, 21117, 12, 16, 323, 50542, 220, 10680, 16701, 13, 720, 26926, 36270, 31433, 323, 15022, 23998, 369, 7487, 1051, 279, 6156, 13650, 315, 10430, 2391, 264, 6574, 315, 279, 4409, 10349, 315, 19313, 7950, 13, 4409, 62534, 505, 4028, 10913, 19313, 20802, 311, 3137, 922, 5627, 311, 11886, 279, 11983, 11501, 323, 1023, 10742, 74055, 279, 5234, 43286, 13, 48838, 4409, 10790, 16645, 6342, 1071, 279, 3363, 374, 13126, 1475, 3072, 3284, 11, 2737, 70220, 449, 879, 5220, 369, 4029, 22538, 477, 10633, 287, 15022, 11983, 11987, 13, 6342, 22628, 3816, 12669, 323, 2394, 483, 8078, 439, 10507, 315, 2225, 79645, 13, 6342, 1101, 1071, 48838, 374, 3318, 389, 220, 1041, 409, 5621, 74172, 8316, 315, 17049, 11983, 1855, 1060, 323, 706, 6787, 369, 220, 1041, 15, 8316, 927, 279, 1828, 1403, 1667, 13, 48838, 374, 279, 1176, 3363, 304, 19313, 311, 1522, 4783, 8766, 220, 1049, 16, 311, 2187, 369, 810, 7447, 17633, 11983, 627, 791, 3959, 331, 2142, 3142, 11896, 1887, 12580, 264, 79913, 304, 1202, 6787, 369, 264, 502, 220, 1041, 11, 931, 9518, 4579, 8792, 6875, 304, 10411, 48838, 13, 1115, 11263, 279, 4409, 753, 84050, 311, 29251, 264, 4363, 1005, 45798, 430, 1053, 387, 5995, 311, 636, 279, 2447, 1022, 279, 5015, 6288, 13, 578, 8792, 6875, 2447, 374, 5343, 304, 3892, 3673, 430, 690, 387, 70764, 555, 264, 400, 6280, 3610, 4689, 29672, 11049, 12054, 555, 11969, 304, 220, 2366, 15, 13, 1102, 690, 1457, 4461, 617, 311, 1505, 264, 502, 1853, 4741, 304, 3177, 315, 279, 48838, 4409, 9251, 753, 30031, 2403, 49780, 459, 4788, 369, 279, 3363, 753, 54368, 367, 1920, 13, 578, 11223, 3813, 369, 279, 8792, 6875, 374, 304, 459, 16036, 6650, 19254, 14800, 3158, 11, 2949, 279, 6650, 19254, 719, 4994, 315, 3363, 13693, 627, 60185, 704, 315, 220, 1627, 3314, 13952, 11430, 5983, 4036, 11006, 505, 19313, 6011, 315, 8371, 4720, 13, 3861, 400, 5313, 11, 931, 13500, 4024, 311, 279, 3959, 331, 2142, 49681, 1413, 20585, 5907, 662, 1102, 690, 990, 389, 13952, 35093, 304, 99586, 11, 264, 220, 914, 11, 931, 46323, 3158, 304, 279, 24024, 961, 315, 62088, 49422, 11182, 13, 507, 5375, 753, 12411, 20585, 67925, 6826, 96835, 11006, 311, 39210, 304, 13952, 11430, 5983, 779, 814, 649, 7899, 872, 18463, 922, 15792, 1251, 11, 32031, 4027, 11, 323, 1023, 35093, 990, 627, 2170, 3685, 11, 279, 48838, 4409, 9251, 1566, 3814, 12054, 264, 5226, 449, 59646, 596, 4783, 65992, 4108, 369, 264, 62182, 11, 7447, 24358, 10873, 4219, 13, 578, 5016, 11, 1176, 8838, 12, 1220, 60806, 4219, 690, 387, 7559, 520, 279, 25887, 753, 13147, 23756, 3813, 389, 220, 17, 303, 8761, 13, 64815, 369, 279, 220, 18, 13, 24, 3610, 18160, 2447, 374, 1694, 3984, 555, 279, 1614, 449, 5217, 1647, 552, 505, 279, 3778, 45503, 9878, 3298, 320, 946, 8201, 8, 323, 279, 4409, 753, 3331, 13492, 13, 12781, 8336, 315, 11006, 1253, 387, 1903, 2561, 1555, 19313, 31433, 323, 12332, 8471, 320, 47861, 6546, 8, 323, 5255, 1023, 13607, 13, 578, 4409, 32238, 279, 4219, 439, 264, 502, 5507, 311, 8792, 553, 3600, 520, 832, 3813, 11, 2737, 1520, 449, 11, 2683, 13291, 11, 2890, 3600, 11, 21644, 11, 7720, 323, 6873, 5070, 627, 791, 1614, 9266, 430, 71945, 19313, 753, 586, 9232, 374, 279, 3917, 315, 459, 57376, 1934, 13, 4563, 35259, 5856, 315, 23947, 574, 22163, 555, 279, 1614, 311, 3477, 19313, 8410, 315, 3142, 16777, 8471, 13, 578, 9266, 574, 1766, 311, 387, 3515, 12544, 31320, 6913, 5865, 11, 323, 369, 22109, 311, 3412, 21866, 36977, 369, 872, 990, 11, 4315, 1023, 36033, 14955, 13, 578, 1934, 574, 6004, 2391, 11501, 449, 586, 9232, 304, 19313, 323, 5764, 1156, 44661, 6170, 505, 21866, 11, 26453, 323, 3885, 889, 3493, 3600, 311, 1280, 343, 306, 40246, 6957, 279, 1614, 13, 362, 8821, 1934, 555, 279, 3778, 4821, 10229, 1766, 19313, 753, 586, 9232, 1887, 3966, 311, 18467, 459, 5217, 220, 16, 11, 3101, 21866, 311, 3449, 279, 18651, 315, 279, 9337, 12437, 1887, 627, 78706, 269, 30301, 10690, 8667, 264, 400, 1041, 3610, 18160, 80271, 4121, 304, 48838, 13, 12220, 264, 4034, 311, 25517, 15394, 753, 5955, 11, 279, 24245, 8667, 279, 13543, 11, 4783, 8766, 220, 1272, 12, 2304, 11, 311, 3887, 80271, 3600, 13, 12220, 24208, 1603, 279, 16351, 11, 24245, 10690, 1071, 2680, 311, 80271, 374, 279, 8706, 22881, 6699, 529, 3663, 994, 13758, 311, 279, 32027, 13, 578, 4121, 5825, 400, 1691, 3610, 369, 80271, 32027, 34102, 323, 38231, 26, 264, 400, 1313, 3610, 18160, 13500, 311, 9407, 9287, 8824, 311, 8854, 810, 2911, 26, 323, 400, 1114, 13, 18, 3610, 311, 4029, 6108, 11351, 311, 7195, 502, 12850, 13, 578, 4121, 5825, 400, 1544, 3610, 311, 5376, 80271, 68747, 7969, 311, 220, 2366, 15, 3157, 7969, 13, 10690, 3010, 91713, 279, 6401, 99455, 5955, 323, 1719, 92001, 13077, 520, 10913, 19313, 12332, 9304, 11, 902, 690, 1101, 5371, 10736, 1555, 279, 12781, 32082, 19313, 6462, 13, 578, 20770, 11815, 19313, 753, 7487, 4295, 37554, 555, 279, 12495, 22530, 555, 21583, 1124, 311, 1695, 89823, 31133, 304, 2890, 2512, 11, 15266, 11, 323, 5557, 627, 44, 45883, 13235, 11, 264, 33184, 4029, 2890, 4219, 304, 48838, 11, 3816, 12669, 11, 2394, 483, 8078, 323, 9671, 13075, 706, 4036, 264, 13500, 311, 1862, 264, 502, 6401, 5955, 13, 578, 386, 3587, 13, 15356, 78155, 4969, 15729, 17236, 315, 23393, 11, 6652, 22034, 264, 400, 8652, 11, 931, 1054, 3565, 1022, 863, 13500, 311, 1862, 279, 9671, 13075, 6401, 5955, 902, 374, 13847, 311, 1825, 420, 10683, 304, 264, 15664, 449, 34644, 6406, 3142, 6401, 13, 578, 13500, 10736, 527, 18222, 5304, 386, 45883, 19261, 264, 400, 20, 13, 19, 3610, 11006, 5915, 13, 2100, 3117, 814, 617, 8813, 400, 19, 13, 23, 3610, 315, 430, 5915, 13, 578, 502, 2890, 4219, 690, 387, 7559, 1828, 311, 800, 13, 15274, 9671, 13075, 362, 12, 6825, 389, 4363, 34468, 555, 279, 8952, 13, 32944, 449, 386, 45883, 753, 9671, 13075, 6401, 5955, 11, 279, 4857, 690, 3838, 386, 45883, 48175, 323, 34644, 6406, 3142, 6401, 627, 32, 11552, 5226, 706, 1027, 8813, 1990, 279, 3959, 331, 2142, 6406, 29783, 17275, 753, 10229, 320, 5744, 93052, 8, 323, 279, 3959, 331, 2142, 6406, 29783, 753, 8410, 13, 3959, 331, 2142, 6406, 97345, 12054, 279, 5226, 902, 574, 97665, 555, 279, 11162, 93052, 389, 7159, 13, 29783, 27562, 323, 279, 17275, 10229, 1051, 3025, 311, 5662, 459, 9306, 304, 3335, 892, 13, 578, 14765, 315, 279, 5226, 690, 7916, 279, 29783, 753, 8410, 34102, 2068, 323, 6835, 51748, 17274, 264, 220, 17, 4, 2343, 5376, 323, 2536, 62979, 1540, 17274, 459, 5217, 3094, 430, 690, 5376, 872, 2343, 3196, 389, 872, 1667, 315, 2532, 13, 578, 3878, 315, 279, 5226, 2997, 6593, 8276, 7720, 1306, 220, 914, 1667, 315, 2532, 449, 279, 29783, 753, 8410, 369, 8420, 304, 264, 51748, 304, 27158, 2361, 889, 527, 17446, 311, 16177, 304, 393, 4419, 13, 25122, 682, 3959, 331, 2142, 6406, 8420, 527, 17446, 369, 420, 8935, 1306, 220, 966, 1667, 315, 2532, 627, 32, 19831, 706, 1027, 13019, 2403, 800, 13, 15274, 6401, 744, 555, 264, 5034, 47, 483, 893, 88968, 2768, 36505, 505, 8271, 15173, 13, 51965, 37828, 32269, 3258, 13019, 279, 220, 3391, 13, 20, 3610, 18160, 19831, 7950, 304, 3959, 331, 2142, 6406, 28317, 7301, 13, 578, 19831, 59797, 6593, 8811, 60621, 323, 1101, 5144, 48838, 6108, 15173, 9287, 40505, 31417, 323, 3165, 483, 13, 12220, 15173, 10887, 555, 2999, 13, 18206, 816, 1263, 83, 11, 32269, 3258, 16654, 264, 18036, 315, 279, 294, 5808, 11, 279, 16178, 27620, 39654, 14932, 279, 8271, 323, 50112, 23125, 13, 578, 18036, 574, 52834, 719, 32269, 3258, 753, 3044, 47293, 6901, 323, 279, 1828, 1938, 568, 35070, 315, 15748, 6784, 13, 23548, 1403, 13147, 16346, 32269, 3258, 574, 2163, 2085, 37392, 304, 813, 4827, 6000, 1385, 477, 279, 1005, 315, 813, 14535, 627, 32, 48838, 893, 12580, 10405, 369, 17644, 78043, 13, 8155, 3814, 2212, 220, 23, 281, 749, 13, 4379, 16846, 311, 264, 78043, 304, 5208, 389, 3320, 29973, 48540, 13, 578, 20456, 67769, 4379, 1306, 9298, 264, 893, 4401, 1555, 459, 1825, 6134, 315, 264, 42617, 2626, 13, 578, 15562, 11, 220, 2983, 4771, 6418, 26035, 48562, 11, 574, 1766, 26092, 14373, 304, 264, 40021, 662, 10289, 735, 12, 24, 31426, 39061, 304, 279, 8163, 315, 48562, 889, 574, 304, 19243, 315, 7154, 220, 605, 34419, 315, 21747, 85890, 627, 791, 3363, 315, 48838, 374, 49009, 7154, 400, 16, 3610, 304, 19310, 3090, 323, 63020, 19123, 11, 32125, 4245, 311, 279, 28522, 323, 3241, 4819, 13, 28232, 220, 679, 22, 323, 220, 2366, 15, 11, 279, 5578, 19310, 3392, 49009, 311, 279, 3363, 574, 400, 3192, 11, 931, 13, 4452, 11, 927, 279, 1828, 1403, 1667, 11, 430, 3392, 6689, 709, 311, 4661, 400, 23031, 11, 931, 13, 10180, 220, 914, 2902, 7259, 6444, 529, 19123, 527, 1457, 3347, 4245, 449, 279, 8857, 315, 1884, 3254, 17633, 10632, 13, 12220, 279, 28522, 11, 279, 3363, 1550, 539, 9495, 1022, 3090, 2532, 994, 19123, 4024, 55184, 627, 5001, 331, 2142, 6406, 74655, 690, 387, 4691, 8079, 311, 11142, 264, 11175, 37631, 264, 1614, 315, 13147, 323, 311, 2610, 279, 19582, 311, 16292, 264, 37846, 13147, 13, 578, 3959, 331, 2142, 61358, 8925, 315, 7935, 2795, 14529, 14560, 9282, 4787, 527, 4461, 311, 5353, 24716, 323, 15748, 5674, 311, 51876, 11, 30405, 11, 323, 5933, 5070, 13, 578, 37846, 1436, 1101, 5536, 47044, 11, 323, 32083, 13, 578, 3959, 331, 2142, 61358, 12056, 4853, 374, 220, 2075, 4, 315, 5578, 323, 279, 5652, 37846, 8891, 2472, 5039, 1455, 315, 279, 14189, 449, 14560, 37846, 4787, 13, 75206, 72, 455, 1838, 76950, 374, 3685, 311, 16557, 2212, 5936, 220, 16, 1054, 266, 3335, 3428, 5990, 13, 578, 11175, 7540, 279, 1614, 311, 1304, 2561, 13643, 3090, 3268, 31711, 323, 13147, 3090, 1005, 29790, 11, 3235, 449, 6918, 323, 1614, 37846, 13291, 323, 7620, 11, 439, 4460, 627, 80614, 2162, 7729, 304, 10913, 19313, 527, 75722, 287, 323, 7980, 527, 12588, 11191, 25452, 304, 264, 2875, 4261, 315, 892, 13, 763, 48838, 11, 279, 5578, 2162, 3430, 304, 6186, 574, 400, 24887, 11, 931, 11441, 11, 30102, 810, 1109, 8223, 3346, 311, 400, 21112, 11, 931, 304, 7552, 13, 8949, 1972, 11222, 43130, 24971, 258, 29037, 11, 315, 24971, 258, 29037, 5856, 40505, 11, 1071, 42617, 9919, 1101, 5602, 51760, 927, 279, 1566, 2305, 11, 719, 505, 6186, 220, 2366, 17, 311, 7552, 220, 2366, 17, 11, 3816, 12669, 574, 279, 1193, 3363, 430, 4024, 1523, 505, 400, 2636, 11, 931, 311, 400, 21884, 11, 931, 13, 6104, 264, 6068, 11, 433, 753, 2103, 279, 8592, 304, 3925, 13, 24971, 258, 29037, 3250, 1431, 1518, 7631, 48408, 1523, 323, 11321, 279, 7729, 527, 26549, 4245, 311, 6996, 315, 15808, 323, 264, 1162, 315, 8312, 323, 7631, 13, 25619, 2478, 6012, 323, 2288, 1690, 1274, 7366, 1618, 449, 2561, 10632, 527, 11486, 5043, 13, 578, 5578, 1396, 315, 2919, 389, 279, 3157, 369, 264, 2162, 304, 3816, 12669, 374, 8254, 26, 304, 48838, 3116, 26, 8219, 5586, 374, 2380, 2919, 26, 323, 304, 62088, 11, 15316, 6118, 4662, 304, 1403, 2919, 627, 644, 264, 7154, 2380, 6596, 4200, 586, 6574, 11, 279, 6011, 315, 3314, 38523, 6755, 505, 11062, 16475, 311, 264, 11223, 6412, 315, 220, 3443, 27464, 315, 1614, 4363, 311, 279, 16131, 315, 279, 78024, 18295, 34937, 13, 578, 4500, 1053, 2997, 220, 1041, 15, 10632, 11, 2380, 19665, 14307, 323, 4848, 893, 27975, 44236, 13, 10180, 220, 1049, 1274, 18677, 1566, 3814, 753, 6574, 13, 9176, 52468, 4747, 922, 279, 3158, 753, 30405, 323, 5933, 5070, 11, 586, 2680, 311, 33965, 11, 323, 304, 264, 892, 315, 14560, 37846, 11, 279, 22541, 753, 5536, 389, 2254, 16558, 3090, 17135, 1389, 459, 58494, 55026, 555, 16131, 735, 91712, 7462, 1003, 7129, 83, 13, 1283, 1071, 422, 568, 1051, 311, 1005, 7154, 220, 1049, 15, 27464, 315, 4363, 369, 33489, 568, 25241, 11, 568, 4265, 1005, 264, 2763, 810, 3090, 13, 34991, 6170, 389, 279, 11223, 6412, 315, 279, 4363, 690, 387, 11928, 555, 279, 6011, 315, 3314, 38523, 11, 1555, 5587, 220, 1114, 339, 13, 362, 2380, 44650, 1614, 11680, 8925, 690, 1304, 264, 5597, 922, 279, 6412, 315, 279, 4363, 311, 279, 356, 1074, 2030, 2392, 1183, 533, 304, 279, 5108, 4038, 13, 362, 1620, 5597, 9002, 279, 4363, 596, 1005, 369, 279, 78024, 18295, 4500, 374, 709, 311, 3959, 331, 2142, 6406, 627, 791, 48838, 28780, 9849, 16626, 220, 21, 12, 16, 7742, 311, 7079, 4500, 2082, 4442, 311, 37377, 1148, 3169, 315, 23855, 52888, 527, 5535, 323, 1405, 814, 649, 387, 7559, 13, 578, 12396, 690, 1522, 3235, 872, 19075, 311, 279, 48838, 4409, 9251, 11, 889, 690, 10491, 3508, 311, 11142, 279, 14236, 13, 30454, 12149, 69595, 574, 279, 47766, 47962, 287, 7055, 13, 578, 11223, 2082, 4442, 1053, 7124, 23756, 4595, 11, 449, 459, 3072, 369, 1054, 19221, 5383, 11983, 863, 2737, 1405, 323, 1234, 1148, 4787, 13, 11481, 5383, 11983, 6276, 3424, 7980, 311, 1520, 4423, 13176, 27129, 9455, 11983, 311, 3974, 389, 872, 3424, 304, 459, 33570, 13, 7089, 19075, 5343, 7859, 279, 892, 369, 67650, 11983, 505, 4848, 311, 220, 972, 4038, 13, 97345, 1101, 11349, 79466, 3424, 7980, 505, 23468, 8175, 369, 67650, 11983, 11, 449, 279, 4788, 315, 15919, 12718, 304, 459, 5149, 311, 5471, 20769, 477, 1317, 4751, 48104, 627, 33, 408, 10289, 12800, 264, 893, 889, 21699, 12867, 25754, 30687, 3637, 8420, 449, 264, 22145, 13, 33916, 220, 21, 25, 966, 8079, 6693, 4379, 16846, 311, 279, 220, 18, 6634, 6825, 12867, 25754, 3637, 311, 6821, 315, 264, 893, 27903, 8420, 13, 2435, 17644, 311, 3009, 220, 2148, 4771, 6418, 24565, 4761, 35838, 439, 568, 2163, 279, 3637, 11, 719, 568, 15203, 1139, 9629, 34125, 11, 7154, 20129, 3892, 11731, 13, 4761, 35838, 11, 889, 1047, 8767, 1027, 12800, 369, 75330, 287, 520, 279, 3637, 11, 574, 18307, 35101, 323, 27903, 311, 4465, 4379, 889, 1511, 264, 259, 12351, 1603, 4737, 1461, 1139, 25502, 13, 1283, 574, 3010, 4529, 311, 800, 13, 15274, 369, 16865, 1306, 1694, 11136, 264, 45477, 369, 95072, 11, 9337, 75330, 323, 70441, 8163, 627, 791, 586, 690, 617, 264, 6140, 18396, 311, 4068, 389, 264, 11223, 220, 3443, 46323, 4500, 3221, 36895, 71541, 627, 45606, 753, 30215, 315, 19278, 323, 279, 549, 815, 13, 9120, 389, 8690, 5707, 15557, 617, 3288, 35750, 5707, 7729, 75722, 287, 3485, 400, 4364, 11441, 264, 20929, 11, 279, 8592, 3430, 2533, 220, 1049, 23, 13, 37749, 362, 753, 33116, 36968, 5469, 2795, 304, 5369, 311, 279, 17936, 3823, 31926, 430, 753, 33831, 11, 8524, 374, 832, 315, 279, 1948, 5707, 24190, 13, 4656, 799, 374, 279, 3682, 25795, 304, 430, 50680, 315, 6962, 323, 994, 584, 5266, 709, 1057, 9515, 11, 922, 220, 4331, 4, 315, 430, 3430, 374, 279, 2853, 315, 35750, 5707, 13, 2100, 994, 499, 617, 35750, 5707, 25294, 287, 709, 11, 6962, 7729, 1833, 7937, 13, 36968, 5469, 2795, 682, 220, 1135, 5415, 527, 9298, 22520, 12992, 304, 6962, 7729, 11, 48389, 3778, 8689, 13, 1789, 279, 2046, 11, 279, 5426, 5578, 369, 5912, 35308, 220, 4370, 31291, 311, 400, 19, 13, 1114, 264, 50680, 13, 578, 19313, 5578, 44727, 709, 220, 2131, 31291, 311, 400, 19, 13, 2946, 13, 763, 48838, 11, 279, 5578, 374, 400, 19, 13, 1227, 11, 719, 3816, 12669, 323, 5034, 42609, 527, 9298, 400, 19, 13, 4643, 369, 264, 50680, 315, 5912, 13, 4314, 7729, 56528, 279, 2362, 3335, 54879, 743, 304, 220, 1049, 23, 994, 279, 5426, 5578, 78292, 520, 400, 19, 13, 806, 389, 5887, 220, 1114, 339, 11, 323, 279, 19313, 5578, 78292, 520, 400, 19, 13, 1682, 389, 5887, 220, 18, 6634, 627, 13246, 1690, 7634, 4028, 279, 3224, 11, 10913, 19313, 374, 25051, 264, 1716, 2512, 24521, 13, 2057, 5376, 80271, 2671, 11, 1566, 2046, 11, 19313, 26137, 5946, 40801, 12, 15830, 17, 11, 73862, 400, 23, 3610, 11441, 311, 98263, 72603, 304, 1862, 315, 1716, 2512, 12850, 6957, 279, 1614, 13, 578, 33184, 753, 6484, 9576, 10852, 16607, 2068, 6209, 4967, 11, 323, 2626, 1862, 311, 12850, 11, 61905, 82, 323, 4216, 50794, 13, 4314, 10736, 690, 1893, 709, 311, 220, 8258, 15, 502, 1716, 2512, 49649, 304, 25611, 564, 11, 3959, 331, 2142, 323, 34644, 31276, 323, 279, 39144, 660, 21163, 288, 315, 46863, 30304, 13, 1666, 79863, 304, 25389, 323, 4219, 3196, 1716, 2512, 12850, 649, 2680, 4967, 1555, 264, 15664, 449, 7432, 3791, 753, 15344, 8184, 11050, 5955, 13, 52878, 889, 4686, 279, 2068, 690, 5371, 25076, 311, 1862, 264, 2626, 21210, 13, 578, 1949, 5542, 826, 527, 17446, 369, 7926, 6807, 627, 3947, 374, 7982, 14076, 311, 264, 11223, 502, 220, 4161, 5089, 13455, 6485, 304, 48838, 13, 362, 20984, 374, 54828, 2930, 304, 14076, 311, 279, 11983, 2447, 902, 1053, 387, 2663, 4892, 25036, 520, 14637, 24076, 13, 578, 6485, 1053, 387, 7559, 1120, 10411, 315, 5161, 71984, 17569, 520, 14637, 24076, 27109, 13, 578, 4360, 315, 52240, 374, 1148, 2254, 11062, 16365, 311, 387, 279, 4113, 2955, 369, 279, 12818, 13, 3011, 5343, 1120, 264, 23810, 315, 6424, 10632, 11, 539, 7447, 17633, 10632, 13, 62697, 9629, 304, 459, 2736, 44385, 291, 12818, 323, 279, 8137, 433, 34103, 311, 2254, 2911, 11, 374, 2500, 4747, 13, 38523, 48838, 13332, 374, 4857, 279, 6485, 304, 2077, 311, 264, 6908, 7631, 369, 32027, 11983, 304, 279, 3363, 315, 48838, 627, 32, 11323, 655, 374, 5710, 1306, 264, 4498, 389, 10640, 36443, 389, 7418, 13, 67587, 1306, 220, 20, 281, 749, 13, 279, 1403, 94751, 11299, 220, 1049, 7693, 389, 279, 9909, 3185, 315, 279, 16700, 13, 3861, 315, 279, 15902, 94751, 574, 3025, 311, 1650, 220, 17000, 1701, 264, 89269, 304, 49468, 3756, 13, 45503, 7411, 17011, 4353, 11252, 788, 4787, 389, 279, 16700, 449, 264, 60487, 5326, 315, 41635, 83281, 323, 29592, 19261, 709, 311, 220, 2031, 35061, 13, 59223, 24035, 7159, 5535, 264, 4948, 2128, 315, 13208, 84525, 311, 5662, 279, 1403, 94751, 719, 832, 574, 5710, 13, 578, 220, 17, 303, 11323, 655, 574, 63358, 304, 9200, 3044, 13, 24586, 311, 279, 1579, 96694, 31397, 11, 279, 11323, 655, 889, 8636, 574, 2163, 389, 279, 16700, 11, 449, 6787, 369, 264, 13654, 9131, 994, 4787, 7417, 13, 578, 40521, 315, 2225, 94751, 617, 539, 1027, 6004, 520, 420, 892, 627, 5001, 331, 2142, 6406, 690, 5371, 400, 16, 3610, 311, 1520, 1212, 264, 10496, 5274, 28118, 63022, 304, 264, 4121, 430, 706, 5946, 279, 1614, 47126, 323, 374, 1457, 19946, 311, 25428, 13, 30301, 10690, 753, 18496, 13, 4783, 8766, 220, 17574, 18, 5691, 988, 11006, 311, 2254, 17047, 323, 93360, 311, 1893, 47672, 23855, 2077, 19672, 13, 578, 13543, 5825, 8223, 31276, 400, 16, 3610, 1855, 311, 1825, 459, 5274, 430, 14259, 449, 5370, 9919, 323, 1023, 23855, 2532, 12850, 311, 82703, 23855, 14228, 3600, 13, 74847, 555, 3402, 13, 18984, 735, 897, 69, 11, 423, 7826, 408, 11, 279, 4121, 4036, 264, 3221, 68509, 7055, 304, 279, 4783, 323, 10092, 627, 2127, 9589, 582, 2649, 893, 374, 13176, 10405, 369, 73951, 323, 37723, 11965, 2768, 264, 4295, 9976, 23831, 304, 48838, 13, 10289, 2019, 4216, 7159, 6693, 11, 220, 1544, 4771, 6418, 32320, 8242, 276, 574, 6532, 304, 264, 16806, 26086, 1990, 2380, 3026, 3221, 279, 19801, 315, 15745, 17569, 323, 60920, 1900, 6825, 13, 8242, 276, 574, 19755, 46671, 555, 220, 1187, 1060, 2362, 356, 33340, 54521, 315, 2893, 402, 37733, 13, 1283, 30010, 279, 6237, 304, 813, 51002, 10517, 71141, 11, 21933, 220, 843, 1060, 2362, 36857, 21296, 355, 315, 23947, 304, 279, 1920, 13, 10180, 220, 508, 4520, 3010, 8242, 276, 753, 51002, 574, 30652, 555, 4379, 304, 3816, 12669, 1405, 568, 574, 12800, 389, 73951, 323, 37723, 4295, 323, 1629, 10405, 13, 21296, 355, 574, 40460, 311, 800, 13, 15274, 304, 48838, 449, 2536, 26928, 62999, 15319, 13, 1556, 11965, 6900, 2403, 1461, 374, 15639, 13, 54521, 4948, 38775, 11965, 10405, 13, 578, 10672, 15785, 832, 315, 4330, 73951, 38811, 1903, 555, 48838, 10289, 9808, 304, 264, 4848, 6596, 71053, 1990, 7418, 323, 7159, 627, 32, 480, 2548, 309, 893, 12800, 304, 48838, 574, 30231, 7159, 311, 6918, 9527, 369, 39098, 6020, 323, 22654, 9477, 505, 810, 1109, 220, 1041, 1274, 13, 220, 3174, 1060, 2362, 8563, 52290, 5767, 85051, 374, 13487, 315, 39098, 6020, 323, 22654, 9477, 505, 22700, 315, 1274, 304, 279, 23947, 3158, 1990, 5936, 220, 679, 24, 323, 5936, 220, 2366, 15, 11, 449, 279, 7537, 311, 27669, 3300, 505, 1124, 323, 505, 2254, 9873, 13, 10289, 304, 48838, 13517, 12800, 5767, 85051, 323, 264, 1080, 15204, 50177, 859, 304, 6250, 220, 679, 24, 1306, 264, 1934, 315, 264, 1732, 1701, 264, 23130, 6807, 3786, 520, 264, 2254, 10960, 13, 5767, 85051, 574, 30231, 311, 220, 5728, 4038, 304, 6918, 9527, 323, 2380, 1667, 529, 60089, 4984, 627, 791, 1176, 10474, 315, 48838, 753, 17882, 17569, 4563, 83536, 32323, 12302, 3432, 13, 36037, 82, 690, 3345, 279, 19801, 520, 17882, 17569, 323, 220, 24, 339, 6825, 311, 1977, 264, 3254, 2922, 2194, 4883, 9274, 323, 19180, 13260, 34125, 13, 24987, 374, 13847, 311, 3136, 1555, 3389, 3297, 13, 8949, 323, 13147, 2680, 690, 387, 18908, 13, 10771, 311, 4409, 7510, 420, 12890, 24537, 5907, 11, 12054, 555, 11969, 304, 220, 2366, 15, 11, 690, 7417, 7296, 323, 11226, 38702, 31357, 505, 220, 17, 303, 67, 8761, 11, 3235, 17882, 17569, 11, 311, 220, 868, 339, 6825, 627, 791, 4409, 596, 7782, 315, 279, 47745, 19514, 301, 439, 264, 330, 10516, 16150, 7401, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 763, 459, 5149, 311, 12192, 10652, 922, 279, 11774, 315, 11983, 74935, 323, 1202, 2515, 389, 8420, 323, 9873, 11, 279, 48838, 4409, 32479, 315, 31480, 706, 3549, 1054, 791, 5664, 9009, 31433, 38756, 863, 311, 1505, 264, 6425, 311, 279, 32027, 11983, 39259, 13, 32479, 12432, 73227, 39119, 1071, 11, 369, 23234, 11, 11983, 374, 832, 315, 279, 8706, 73635, 994, 433, 4131, 311, 24009, 323, 51110, 8420, 13, 39119, 1071, 11983, 430, 374, 704, 315, 5662, 369, 1690, 3135, 304, 482, 539, 1193, 264, 6996, 315, 9511, 482, 719, 264, 7982, 30069, 1990, 889, 4375, 323, 6439, 304, 48838, 13, 763, 459, 5149, 311, 2586, 709, 449, 264, 6425, 11, 279, 32479, 16388, 311, 6865, 505, 8420, 323, 9873, 3515, 27129, 24009, 477, 51110, 7487, 12153, 311, 1505, 17049, 5209, 48831, 11983, 13, 2057, 39580, 701, 7899, 311, 279, 20770, 311, 1520, 11886, 48838, 753, 32027, 11983, 11774, 11, 4034, 279, 48838, 4409, 32479, 315, 31480, 3997, 25, 37920, 331, 15578, 2726, 627, 32, 9048, 5227, 574, 14763, 304, 459, 4216, 6693, 4027, 7884, 3221, 9671, 13075, 13, 36037, 82, 449, 34644, 6406, 6785, 11182, 2360, 13, 16, 16846, 311, 279, 63573, 389, 2895, 73825, 9728, 389, 279, 25611, 11059, 11188, 5165, 41046, 8329, 1120, 1603, 220, 17, 264, 749, 13, 3277, 814, 11721, 389, 279, 6237, 11, 53206, 1766, 264, 12468, 818, 65, 6438, 9048, 5227, 6724, 77836, 291, 304, 39885, 13, 578, 10366, 519, 315, 279, 7458, 574, 3025, 311, 12731, 2085, 11134, 13, 578, 9048, 5227, 323, 1202, 4553, 8970, 1051, 264, 4686, 4814, 627, 791, 3363, 315, 9671, 13075, 706, 1027, 22034, 264, 400, 16, 13, 20, 3610, 13500, 311, 26310, 3887, 264, 502, 3428, 22881, 23855, 23756, 13, 24987, 389, 279, 23756, 374, 3685, 311, 3240, 1828, 6186, 449, 264, 28448, 8736, 2457, 315, 279, 4498, 315, 220, 2366, 18, 13, 578, 23756, 690, 387, 24026, 555, 34644, 6406, 34053, 20817, 8304, 13, 24086, 11006, 369, 279, 220, 17, 13, 2131, 3610, 18160, 2447, 690, 2586, 505, 264, 12332, 11050, 8527, 24668, 323, 279, 3778, 45503, 9878, 3298, 482, 300, 1664, 439, 505, 5066, 17629, 3197, 11441, 12054, 555, 279, 39856, 304, 220, 2366, 16, 627, 791, 3959, 331, 2142, 6406, 9849, 374, 13126, 264, 5426, 2068, 430, 8779, 8518, 3424, 7980, 477, 13707, 2793, 304, 4907, 15374, 7224, 13, 12220, 872, 5912, 12396, 6574, 8079, 11, 74655, 6688, 872, 16387, 315, 14765, 311, 264, 11175, 369, 459, 2926, 10165, 315, 459, 48721, 369, 15643, 5693, 11, 477, 28943, 8825, 2755, 22456, 9785, 12634, 13, 578, 2068, 6276, 3424, 7980, 477, 13707, 311, 2343, 1203, 279, 3300, 369, 4907, 11297, 7224, 304, 872, 3424, 3827, 19123, 13, 578, 2068, 374, 3970, 439, 459, 5149, 311, 1520, 3665, 41016, 1579, 4907, 7194, 627, 96375, 30304, 4379, 527, 10371, 279, 586, 369, 904, 2038, 430, 1436, 1520, 1505, 264, 7554, 220, 2397, 4771, 6418, 5333, 13, 49947, 1071, 62412, 483, 45638, 24255, 8288, 2433, 25126, 1253, 7831, 505, 52857, 13, 578, 17118, 3778, 706, 14198, 7013, 323, 6548, 11, 374, 220, 20, 21117, 12, 16, 323, 50542, 220, 10680, 16701, 13, 720, 26926, 36270, 31433, 323, 15022, 23998, 369, 7487, 1051, 279, 6156, 13650, 315, 10430, 2391, 264, 6574, 315, 279, 4409, 10349, 315, 19313, 7950, 13, 4409, 62534, 505, 4028, 10913, 19313, 20802, 311, 3137, 922, 5627, 311, 11886, 279, 11983, 11501, 323, 1023, 10742, 74055, 279, 5234, 43286, 13, 48838, 4409, 10790, 16645, 6342, 1071, 279, 3363, 374, 13126, 1475, 3072, 3284, 11, 2737, 70220, 449, 879, 5220, 369, 4029, 22538, 477, 10633, 287, 15022, 11983, 11987, 13, 6342, 22628, 3816, 12669, 323, 2394, 483, 8078, 439, 10507, 315, 2225, 79645, 13, 6342, 1101, 1071, 48838, 374, 3318, 389, 220, 1041, 409, 5621, 74172, 8316, 315, 17049, 11983, 1855, 1060, 323, 706, 6787, 369, 220, 1041, 15, 8316, 927, 279, 1828, 1403, 1667, 13, 48838, 374, 279, 1176, 3363, 304, 19313, 311, 1522, 4783, 8766, 220, 1049, 16, 311, 2187, 369, 810, 7447, 17633, 11983, 627, 791, 3959, 331, 2142, 3142, 11896, 1887, 12580, 264, 79913, 304, 1202, 6787, 369, 264, 502, 220, 1041, 11, 931, 9518, 4579, 8792, 6875, 304, 10411, 48838, 13, 1115, 11263, 279, 4409, 753, 84050, 311, 29251, 264, 4363, 1005, 45798, 430, 1053, 387, 5995, 311, 636, 279, 2447, 1022, 279, 5015, 6288, 13, 578, 8792, 6875, 2447, 374, 5343, 304, 3892, 3673, 430, 690, 387, 70764, 555, 264, 400, 6280, 3610, 4689, 29672, 11049, 12054, 555, 11969, 304, 220, 2366, 15, 13, 1102, 690, 1457, 4461, 617, 311, 1505, 264, 502, 1853, 4741, 304, 3177, 315, 279, 48838, 4409, 9251, 753, 30031, 2403, 49780, 459, 4788, 369, 279, 3363, 753, 54368, 367, 1920, 13, 578, 11223, 3813, 369, 279, 8792, 6875, 374, 304, 459, 16036, 6650, 19254, 14800, 3158, 11, 2949, 279, 6650, 19254, 719, 4994, 315, 3363, 13693, 627, 60185, 704, 315, 220, 1627, 3314, 13952, 11430, 5983, 4036, 11006, 505, 19313, 6011, 315, 8371, 4720, 13, 3861, 400, 5313, 11, 931, 13500, 4024, 311, 279, 3959, 331, 2142, 49681, 1413, 20585, 5907, 662, 1102, 690, 990, 389, 13952, 35093, 304, 99586, 11, 264, 220, 914, 11, 931, 46323, 3158, 304, 279, 24024, 961, 315, 62088, 49422, 11182, 13, 507, 5375, 753, 12411, 20585, 67925, 6826, 96835, 11006, 311, 39210, 304, 13952, 11430, 5983, 779, 814, 649, 7899, 872, 18463, 922, 15792, 1251, 11, 32031, 4027, 11, 323, 1023, 35093, 990, 627, 2170, 3685, 11, 279, 48838, 4409, 9251, 1566, 3814, 12054, 264, 5226, 449, 59646, 596, 4783, 65992, 4108, 369, 264, 62182, 11, 7447, 24358, 10873, 4219, 13, 578, 5016, 11, 1176, 8838, 12, 1220, 60806, 4219, 690, 387, 7559, 520, 279, 25887, 753, 13147, 23756, 3813, 389, 220, 17, 303, 8761, 13, 64815, 369, 279, 220, 18, 13, 24, 3610, 18160, 2447, 374, 1694, 3984, 555, 279, 1614, 449, 5217, 1647, 552, 505, 279, 3778, 45503, 9878, 3298, 320, 946, 8201, 8, 323, 279, 4409, 753, 3331, 13492, 13, 12781, 8336, 315, 11006, 1253, 387, 1903, 2561, 1555, 19313, 31433, 323, 12332, 8471, 320, 47861, 6546, 8, 323, 5255, 1023, 13607, 13, 578, 4409, 32238, 279, 4219, 439, 264, 502, 5507, 311, 8792, 553, 3600, 520, 832, 3813, 11, 2737, 1520, 449, 11, 2683, 13291, 11, 2890, 3600, 11, 21644, 11, 7720, 323, 6873, 5070, 627, 791, 1614, 9266, 430, 71945, 19313, 753, 586, 9232, 374, 279, 3917, 315, 459, 57376, 1934, 13, 4563, 35259, 5856, 315, 23947, 574, 22163, 555, 279, 1614, 311, 3477, 19313, 8410, 315, 3142, 16777, 8471, 13, 578, 9266, 574, 1766, 311, 387, 3515, 12544, 31320, 6913, 5865, 11, 323, 369, 22109, 311, 3412, 21866, 36977, 369, 872, 990, 11, 4315, 1023, 36033, 14955, 13, 578, 1934, 574, 6004, 2391, 11501, 449, 586, 9232, 304, 19313, 323, 5764, 1156, 44661, 6170, 505, 21866, 11, 26453, 323, 3885, 889, 3493, 3600, 311, 1280, 343, 306, 40246, 6957, 279, 1614, 13, 362, 8821, 1934, 555, 279, 3778, 4821, 10229, 1766, 19313, 753, 586, 9232, 1887, 3966, 311, 18467, 459, 5217, 220, 16, 11, 3101, 21866, 311, 3449, 279, 18651, 315, 279, 9337, 12437, 1887, 627, 78706, 269, 30301, 10690, 8667, 264, 400, 1041, 3610, 18160, 80271, 4121, 304, 48838, 13, 12220, 264, 4034, 311, 25517, 15394, 753, 5955, 11, 279, 24245, 8667, 279, 13543, 11, 4783, 8766, 220, 1272, 12, 2304, 11, 311, 3887, 80271, 3600, 13, 12220, 24208, 1603, 279, 16351, 11, 24245, 10690, 1071, 2680, 311, 80271, 374, 279, 8706, 22881, 6699, 529, 3663, 994, 13758, 311, 279, 32027, 13, 578, 4121, 5825, 400, 1691, 3610, 369, 80271, 32027, 34102, 323, 38231, 26, 264, 400, 1313, 3610, 18160, 13500, 311, 9407, 9287, 8824, 311, 8854, 810, 2911, 26, 323, 400, 1114, 13, 18, 3610, 311, 4029, 6108, 11351, 311, 7195, 502, 12850, 13, 578, 4121, 5825, 400, 1544, 3610, 311, 5376, 80271, 68747, 7969, 311, 220, 2366, 15, 3157, 7969, 13, 10690, 3010, 91713, 279, 6401, 99455, 5955, 323, 1719, 92001, 13077, 520, 10913, 19313, 12332, 9304, 11, 902, 690, 1101, 5371, 10736, 1555, 279, 12781, 32082, 19313, 6462, 13, 578, 20770, 11815, 19313, 753, 7487, 4295, 37554, 555, 279, 12495, 22530, 555, 21583, 1124, 311, 1695, 89823, 31133, 304, 2890, 2512, 11, 15266, 11, 323, 5557, 627, 44, 45883, 13235, 11, 264, 33184, 4029, 2890, 4219, 304, 48838, 11, 3816, 12669, 11, 2394, 483, 8078, 323, 9671, 13075, 706, 4036, 264, 13500, 311, 1862, 264, 502, 6401, 5955, 13, 578, 386, 3587, 13, 15356, 78155, 4969, 15729, 17236, 315, 23393, 11, 6652, 22034, 264, 400, 8652, 11, 931, 1054, 3565, 1022, 863, 13500, 311, 1862, 279, 9671, 13075, 6401, 5955, 902, 374, 13847, 311, 1825, 420, 10683, 304, 264, 15664, 449, 34644, 6406, 3142, 6401, 13, 578, 13500, 10736, 527, 18222, 5304, 386, 45883, 19261, 264, 400, 20, 13, 19, 3610, 11006, 5915, 13, 2100, 3117, 814, 617, 8813, 400, 19, 13, 23, 3610, 315, 430, 5915, 13, 578, 502, 2890, 4219, 690, 387, 7559, 1828, 311, 800, 13, 15274, 9671, 13075, 362, 12, 6825, 389, 4363, 34468, 555, 279, 8952, 13, 32944, 449, 386, 45883, 753, 9671, 13075, 6401, 5955, 11, 279, 4857, 690, 3838, 386, 45883, 48175, 323, 34644, 6406, 3142, 6401, 627, 32, 11552, 5226, 706, 1027, 8813, 1990, 279, 3959, 331, 2142, 6406, 29783, 17275, 753, 10229, 320, 5744, 93052, 8, 323, 279, 3959, 331, 2142, 6406, 29783, 753, 8410, 13, 3959, 331, 2142, 6406, 97345, 12054, 279, 5226, 902, 574, 97665, 555, 279, 11162, 93052, 389, 7159, 13, 29783, 27562, 323, 279, 17275, 10229, 1051, 3025, 311, 5662, 459, 9306, 304, 3335, 892, 13, 578, 14765, 315, 279, 5226, 690, 7916, 279, 29783, 753, 8410, 34102, 2068, 323, 6835, 51748, 17274, 264, 220, 17, 4, 2343, 5376, 323, 2536, 62979, 1540, 17274, 459, 5217, 3094, 430, 690, 5376, 872, 2343, 3196, 389, 872, 1667, 315, 2532, 13, 578, 3878, 315, 279, 5226, 2997, 6593, 8276, 7720, 1306, 220, 914, 1667, 315, 2532, 449, 279, 29783, 753, 8410, 369, 8420, 304, 264, 51748, 304, 27158, 2361, 889, 527, 17446, 311, 16177, 304, 393, 4419, 13, 25122, 682, 3959, 331, 2142, 6406, 8420, 527, 17446, 369, 420, 8935, 1306, 220, 966, 1667, 315, 2532, 627, 32, 19831, 706, 1027, 13019, 2403, 800, 13, 15274, 6401, 744, 555, 264, 5034, 47, 483, 893, 88968, 2768, 36505, 505, 8271, 15173, 13, 51965, 37828, 32269, 3258, 13019, 279, 220, 3391, 13, 20, 3610, 18160, 19831, 7950, 304, 3959, 331, 2142, 6406, 28317, 7301, 13, 578, 19831, 59797, 6593, 8811, 60621, 323, 1101, 5144, 48838, 6108, 15173, 9287, 40505, 31417, 323, 3165, 483, 13, 12220, 15173, 10887, 555, 2999, 13, 18206, 816, 1263, 83, 11, 32269, 3258, 16654, 264, 18036, 315, 279, 294, 5808, 11, 279, 16178, 27620, 39654, 14932, 279, 8271, 323, 50112, 23125, 13, 578, 18036, 574, 52834, 719, 32269, 3258, 753, 3044, 47293, 6901, 323, 279, 1828, 1938, 568, 35070, 315, 15748, 6784, 13, 23548, 1403, 13147, 16346, 32269, 3258, 574, 2163, 2085, 37392, 304, 813, 4827, 6000, 1385, 477, 279, 1005, 315, 813, 14535, 627, 32, 48838, 893, 12580, 10405, 369, 17644, 78043, 13, 8155, 3814, 2212, 220, 23, 281, 749, 13, 4379, 16846, 311, 264, 78043, 304, 5208, 389, 3320, 29973, 48540, 13, 578, 20456, 67769, 4379, 1306, 9298, 264, 893, 4401, 1555, 459, 1825, 6134, 315, 264, 42617, 2626, 13, 578, 15562, 11, 220, 2983, 4771, 6418, 26035, 48562, 11, 574, 1766, 26092, 14373, 304, 264, 40021, 662, 10289, 735, 12, 24, 31426, 39061, 304, 279, 8163, 315, 48562, 889, 574, 304, 19243, 315, 7154, 220, 605, 34419, 315, 21747, 85890, 627, 791, 3363, 315, 48838, 374, 49009, 7154, 400, 16, 3610, 304, 19310, 3090, 323, 63020, 19123, 11, 32125, 4245, 311, 279, 28522, 323, 3241, 4819, 13, 28232, 220, 679, 22, 323, 220, 2366, 15, 11, 279, 5578, 19310, 3392, 49009, 311, 279, 3363, 574, 400, 3192, 11, 931, 13, 4452, 11, 927, 279, 1828, 1403, 1667, 11, 430, 3392, 6689, 709, 311, 4661, 400, 23031, 11, 931, 13, 10180, 220, 914, 2902, 7259, 6444, 529, 19123, 527, 1457, 3347, 4245, 449, 279, 8857, 315, 1884, 3254, 17633, 10632, 13, 12220, 279, 28522, 11, 279, 3363, 1550, 539, 9495, 1022, 3090, 2532, 994, 19123, 4024, 55184, 627, 5001, 331, 2142, 6406, 74655, 690, 387, 4691, 8079, 311, 11142, 264, 11175, 37631, 264, 1614, 315, 13147, 323, 311, 2610, 279, 19582, 311, 16292, 264, 37846, 13147, 13, 578, 3959, 331, 2142, 61358, 8925, 315, 7935, 2795, 14529, 14560, 9282, 4787, 527, 4461, 311, 5353, 24716, 323, 15748, 5674, 311, 51876, 11, 30405, 11, 323, 5933, 5070, 13, 578, 37846, 1436, 1101, 5536, 47044, 11, 323, 32083, 13, 578, 3959, 331, 2142, 61358, 12056, 4853, 374, 220, 2075, 4, 315, 5578, 323, 279, 5652, 37846, 8891, 2472, 5039, 1455, 315, 279, 14189, 449, 14560, 37846, 4787, 13, 75206, 72, 455, 1838, 76950, 374, 3685, 311, 16557, 2212, 5936, 220, 16, 1054, 266, 3335, 3428, 5990, 13, 578, 11175, 7540, 279, 1614, 311, 1304, 2561, 13643, 3090, 3268, 31711, 323, 13147, 3090, 1005, 29790, 11, 3235, 449, 6918, 323, 1614, 37846, 13291, 323, 7620, 11, 439, 4460, 627, 80614, 2162, 7729, 304, 10913, 19313, 527, 75722, 287, 323, 7980, 527, 12588, 11191, 25452, 304, 264, 2875, 4261, 315, 892, 13, 763, 48838, 11, 279, 5578, 2162, 3430, 304, 6186, 574, 400, 24887, 11, 931, 11441, 11, 30102, 810, 1109, 8223, 3346, 311, 400, 21112, 11, 931, 304, 7552, 13, 8949, 1972, 11222, 43130, 24971, 258, 29037, 11, 315, 24971, 258, 29037, 5856, 40505, 11, 1071, 42617, 9919, 1101, 5602, 51760, 927, 279, 1566, 2305, 11, 719, 505, 6186, 220, 2366, 17, 311, 7552, 220, 2366, 17, 11, 3816, 12669, 574, 279, 1193, 3363, 430, 4024, 1523, 505, 400, 2636, 11, 931, 311, 400, 21884, 11, 931, 13, 6104, 264, 6068, 11, 433, 753, 2103, 279, 8592, 304, 3925, 13, 24971, 258, 29037, 3250, 1431, 1518, 7631, 48408, 1523, 323, 11321, 279, 7729, 527, 26549, 4245, 311, 6996, 315, 15808, 323, 264, 1162, 315, 8312, 323, 7631, 13, 25619, 2478, 6012, 323, 2288, 1690, 1274, 7366, 1618, 449, 2561, 10632, 527, 11486, 5043, 13, 578, 5578, 1396, 315, 2919, 389, 279, 3157, 369, 264, 2162, 304, 3816, 12669, 374, 8254, 26, 304, 48838, 3116, 26, 8219, 5586, 374, 2380, 2919, 26, 323, 304, 62088, 11, 15316, 6118, 4662, 304, 1403, 2919, 627, 644, 264, 7154, 2380, 6596, 4200, 586, 6574, 11, 279, 6011, 315, 3314, 38523, 6755, 505, 11062, 16475, 311, 264, 11223, 6412, 315, 220, 3443, 27464, 315, 1614, 4363, 311, 279, 16131, 315, 279, 78024, 18295, 34937, 13, 578, 4500, 1053, 2997, 220, 1041, 15, 10632, 11, 2380, 19665, 14307, 323, 4848, 893, 27975, 44236, 13, 10180, 220, 1049, 1274, 18677, 1566, 3814, 753, 6574, 13, 9176, 52468, 4747, 922, 279, 3158, 753, 30405, 323, 5933, 5070, 11, 586, 2680, 311, 33965, 11, 323, 304, 264, 892, 315, 14560, 37846, 11, 279, 22541, 753, 5536, 389, 2254, 16558, 3090, 17135, 1389, 459, 58494, 55026, 555, 16131, 735, 91712, 7462, 1003, 7129, 83, 13, 1283, 1071, 422, 568, 1051, 311, 1005, 7154, 220, 1049, 15, 27464, 315, 4363, 369, 33489, 568, 25241, 11, 568, 4265, 1005, 264, 2763, 810, 3090, 13, 34991, 6170, 389, 279, 11223, 6412, 315, 279, 4363, 690, 387, 11928, 555, 279, 6011, 315, 3314, 38523, 11, 1555, 5587, 220, 1114, 339, 13, 362, 2380, 44650, 1614, 11680, 8925, 690, 1304, 264, 5597, 922, 279, 6412, 315, 279, 4363, 311, 279, 356, 1074, 2030, 2392, 1183, 533, 304, 279, 5108, 4038, 13, 362, 1620, 5597, 9002, 279, 4363, 596, 1005, 369, 279, 78024, 18295, 4500, 374, 709, 311, 3959, 331, 2142, 6406, 627, 791, 48838, 28780, 9849, 16626, 220, 21, 12, 16, 7742, 311, 7079, 4500, 2082, 4442, 311, 37377, 1148, 3169, 315, 23855, 52888, 527, 5535, 323, 1405, 814, 649, 387, 7559, 13, 578, 12396, 690, 1522, 3235, 872, 19075, 311, 279, 48838, 4409, 9251, 11, 889, 690, 10491, 3508, 311, 11142, 279, 14236, 13, 30454, 12149, 69595, 574, 279, 47766, 47962, 287, 7055, 13, 578, 11223, 2082, 4442, 1053, 7124, 23756, 4595, 11, 449, 459, 3072, 369, 1054, 19221, 5383, 11983, 863, 2737, 1405, 323, 1234, 1148, 4787, 13, 11481, 5383, 11983, 6276, 3424, 7980, 311, 1520, 4423, 13176, 27129, 9455, 11983, 311, 3974, 389, 872, 3424, 304, 459, 33570, 13, 7089, 19075, 5343, 7859, 279, 892, 369, 67650, 11983, 505, 4848, 311, 220, 972, 4038, 13, 97345, 1101, 11349, 79466, 3424, 7980, 505, 23468, 8175, 369, 67650, 11983, 11, 449, 279, 4788, 315, 15919, 12718, 304, 459, 5149, 311, 5471, 20769, 477, 1317, 4751, 48104, 627, 33, 408, 10289, 12800, 264, 893, 889, 21699, 12867, 25754, 30687, 3637, 8420, 449, 264, 22145, 13, 33916, 220, 21, 25, 966, 8079, 6693, 4379, 16846, 311, 279, 220, 18, 6634, 6825, 12867, 25754, 3637, 311, 6821, 315, 264, 893, 27903, 8420, 13, 2435, 17644, 311, 3009, 220, 2148, 4771, 6418, 24565, 4761, 35838, 439, 568, 2163, 279, 3637, 11, 719, 568, 15203, 1139, 9629, 34125, 11, 7154, 20129, 3892, 11731, 13, 4761, 35838, 11, 889, 1047, 8767, 1027, 12800, 369, 75330, 287, 520, 279, 3637, 11, 574, 18307, 35101, 323, 27903, 311, 4465, 4379, 889, 1511, 264, 259, 12351, 1603, 4737, 1461, 1139, 25502, 13, 1283, 574, 3010, 4529, 311, 800, 13, 15274, 369, 16865, 1306, 1694, 11136, 264, 45477, 369, 95072, 11, 9337, 75330, 323, 70441, 8163, 627, 791, 586, 690, 617, 264, 6140, 18396, 311, 4068, 389, 264, 11223, 220, 3443, 46323, 4500, 3221, 36895, 71541, 627, 45606, 753, 30215, 315, 19278, 323, 279, 549, 815, 13, 9120, 389, 8690, 5707, 15557, 617, 3288, 35750, 5707, 7729, 75722, 287, 3485, 400, 4364, 11441, 264, 20929, 11, 279, 8592, 3430, 2533, 220, 1049, 23, 13, 37749, 362, 753, 33116, 36968, 5469, 2795, 304, 5369, 311, 279, 17936, 3823, 31926, 430, 753, 33831, 11, 8524, 374, 832, 315, 279, 1948, 5707, 24190, 13, 4656, 799, 374, 279, 3682, 25795, 304, 430, 50680, 315, 6962, 323, 994, 584, 5266, 709, 1057, 9515, 11, 922, 220, 4331, 4, 315, 430, 3430, 374, 279, 2853, 315, 35750, 5707, 13, 2100, 994, 499, 617, 35750, 5707, 25294, 287, 709, 11, 6962, 7729, 1833, 7937, 13, 36968, 5469, 2795, 682, 220, 1135, 5415, 527, 9298, 22520, 12992, 304, 6962, 7729, 11, 48389, 3778, 8689, 13, 1789, 279, 2046, 11, 279, 5426, 5578, 369, 5912, 35308, 220, 4370, 31291, 311, 400, 19, 13, 1114, 264, 50680, 13, 578, 19313, 5578, 44727, 709, 220, 2131, 31291, 311, 400, 19, 13, 2946, 13, 763, 48838, 11, 279, 5578, 374, 400, 19, 13, 1227, 11, 719, 3816, 12669, 323, 5034, 42609, 527, 9298, 400, 19, 13, 4643, 369, 264, 50680, 315, 5912, 13, 4314, 7729, 56528, 279, 2362, 3335, 54879, 743, 304, 220, 1049, 23, 994, 279, 5426, 5578, 78292, 520, 400, 19, 13, 806, 389, 5887, 220, 1114, 339, 11, 323, 279, 19313, 5578, 78292, 520, 400, 19, 13, 1682, 389, 5887, 220, 18, 6634, 627, 13246, 1690, 7634, 4028, 279, 3224, 11, 10913, 19313, 374, 25051, 264, 1716, 2512, 24521, 13, 2057, 5376, 80271, 2671, 11, 1566, 2046, 11, 19313, 26137, 5946, 40801, 12, 15830, 17, 11, 73862, 400, 23, 3610, 11441, 311, 98263, 72603, 304, 1862, 315, 1716, 2512, 12850, 6957, 279, 1614, 13, 578, 33184, 753, 6484, 9576, 10852, 16607, 2068, 6209, 4967, 11, 323, 2626, 1862, 311, 12850, 11, 61905, 82, 323, 4216, 50794, 13, 4314, 10736, 690, 1893, 709, 311, 220, 8258, 15, 502, 1716, 2512, 49649, 304, 25611, 564, 11, 3959, 331, 2142, 323, 34644, 31276, 323, 279, 39144, 660, 21163, 288, 315, 46863, 30304, 13, 1666, 79863, 304, 25389, 323, 4219, 3196, 1716, 2512, 12850, 649, 2680, 4967, 1555, 264, 15664, 449, 7432, 3791, 753, 15344, 8184, 11050, 5955, 13, 52878, 889, 4686, 279, 2068, 690, 5371, 25076, 311, 1862, 264, 2626, 21210, 13, 578, 1949, 5542, 826, 527, 17446, 369, 7926, 6807, 627, 3947, 374, 7982, 14076, 311, 264, 11223, 502, 220, 4161, 5089, 13455, 6485, 304, 48838, 13, 362, 20984, 374, 54828, 2930, 304, 14076, 311, 279, 11983, 2447, 902, 1053, 387, 2663, 4892, 25036, 520, 14637, 24076, 13, 578, 6485, 1053, 387, 7559, 1120, 10411, 315, 5161, 71984, 17569, 520, 14637, 24076, 27109, 13, 578, 4360, 315, 52240, 374, 1148, 2254, 11062, 16365, 311, 387, 279, 4113, 2955, 369, 279, 12818, 13, 3011, 5343, 1120, 264, 23810, 315, 6424, 10632, 11, 539, 7447, 17633, 10632, 13, 62697, 9629, 304, 459, 2736, 44385, 291, 12818, 323, 279, 8137, 433, 34103, 311, 2254, 2911, 11, 374, 2500, 4747, 13, 38523, 48838, 13332, 374, 4857, 279, 6485, 304, 2077, 311, 264, 6908, 7631, 369, 32027, 11983, 304, 279, 3363, 315, 48838, 627, 32, 11323, 655, 374, 5710, 1306, 264, 4498, 389, 10640, 36443, 389, 7418, 13, 67587, 1306, 220, 20, 281, 749, 13, 279, 1403, 94751, 11299, 220, 1049, 7693, 389, 279, 9909, 3185, 315, 279, 16700, 13, 3861, 315, 279, 15902, 94751, 574, 3025, 311, 1650, 220, 17000, 1701, 264, 89269, 304, 49468, 3756, 13, 45503, 7411, 17011, 4353, 11252, 788, 4787, 389, 279, 16700, 449, 264, 60487, 5326, 315, 41635, 83281, 323, 29592, 19261, 709, 311, 220, 2031, 35061, 13, 59223, 24035, 7159, 5535, 264, 4948, 2128, 315, 13208, 84525, 311, 5662, 279, 1403, 94751, 719, 832, 574, 5710, 13, 578, 220, 17, 303, 11323, 655, 574, 63358, 304, 9200, 3044, 13, 24586, 311, 279, 1579, 96694, 31397, 11, 279, 11323, 655, 889, 8636, 574, 2163, 389, 279, 16700, 11, 449, 6787, 369, 264, 13654, 9131, 994, 4787, 7417, 13, 578, 40521, 315, 2225, 94751, 617, 539, 1027, 6004, 520, 420, 892, 627, 5001, 331, 2142, 6406, 690, 5371, 400, 16, 3610, 311, 1520, 1212, 264, 10496, 5274, 28118, 63022, 304, 264, 4121, 430, 706, 5946, 279, 1614, 47126, 323, 374, 1457, 19946, 311, 25428, 13, 30301, 10690, 753, 18496, 13, 4783, 8766, 220, 17574, 18, 5691, 988, 11006, 311, 2254, 17047, 323, 93360, 311, 1893, 47672, 23855, 2077, 19672, 13, 578, 13543, 5825, 8223, 31276, 400, 16, 3610, 1855, 311, 1825, 459, 5274, 430, 14259, 449, 5370, 9919, 323, 1023, 23855, 2532, 12850, 311, 82703, 23855, 14228, 3600, 13, 74847, 555, 3402, 13, 18984, 735, 897, 69, 11, 423, 7826, 408, 11, 279, 4121, 4036, 264, 3221, 68509, 7055, 304, 279, 4783, 323, 10092, 627, 2127, 9589, 582, 2649, 893, 374, 13176, 10405, 369, 73951, 323, 37723, 11965, 2768, 264, 4295, 9976, 23831, 304, 48838, 13, 10289, 2019, 4216, 7159, 6693, 11, 220, 1544, 4771, 6418, 32320, 8242, 276, 574, 6532, 304, 264, 16806, 26086, 1990, 2380, 3026, 3221, 279, 19801, 315, 15745, 17569, 323, 60920, 1900, 6825, 13, 8242, 276, 574, 19755, 46671, 555, 220, 1187, 1060, 2362, 356, 33340, 54521, 315, 2893, 402, 37733, 13, 1283, 30010, 279, 6237, 304, 813, 51002, 10517, 71141, 11, 21933, 220, 843, 1060, 2362, 36857, 21296, 355, 315, 23947, 304, 279, 1920, 13, 10180, 220, 508, 4520, 3010, 8242, 276, 753, 51002, 574, 30652, 555, 4379, 304, 3816, 12669, 1405, 568, 574, 12800, 389, 73951, 323, 37723, 4295, 323, 1629, 10405, 13, 21296, 355, 574, 40460, 311, 800, 13, 15274, 304, 48838, 449, 2536, 26928, 62999, 15319, 13, 1556, 11965, 6900, 2403, 1461, 374, 15639, 13, 54521, 4948, 38775, 11965, 10405, 13, 578, 10672, 15785, 832, 315, 4330, 73951, 38811, 1903, 555, 48838, 10289, 9808, 304, 264, 4848, 6596, 71053, 1990, 7418, 323, 7159, 627, 32, 480, 2548, 309, 893, 12800, 304, 48838, 574, 30231, 7159, 311, 6918, 9527, 369, 39098, 6020, 323, 22654, 9477, 505, 810, 1109, 220, 1041, 1274, 13, 220, 3174, 1060, 2362, 8563, 52290, 5767, 85051, 374, 13487, 315, 39098, 6020, 323, 22654, 9477, 505, 22700, 315, 1274, 304, 279, 23947, 3158, 1990, 5936, 220, 679, 24, 323, 5936, 220, 2366, 15, 11, 449, 279, 7537, 311, 27669, 3300, 505, 1124, 323, 505, 2254, 9873, 13, 10289, 304, 48838, 13517, 12800, 5767, 85051, 323, 264, 1080, 15204, 50177, 859, 304, 6250, 220, 679, 24, 1306, 264, 1934, 315, 264, 1732, 1701, 264, 23130, 6807, 3786, 520, 264, 2254, 10960, 13, 5767, 85051, 574, 30231, 311, 220, 5728, 4038, 304, 6918, 9527, 323, 2380, 1667, 529, 60089, 4984, 627, 791, 1176, 10474, 315, 48838, 753, 17882, 17569, 4563, 83536, 32323, 12302, 3432, 13, 36037, 82, 690, 3345, 279, 19801, 520, 17882, 17569, 323, 220, 24, 339, 6825, 311, 1977, 264, 3254, 2922, 2194, 4883, 9274, 323, 19180, 13260, 34125, 13, 24987, 374, 13847, 311, 3136, 1555, 3389, 3297, 13, 8949, 323, 13147, 2680, 690, 387, 18908, 13, 10771, 311, 4409, 7510, 420, 12890, 24537, 5907, 11, 12054, 555, 11969, 304, 220, 2366, 15, 11, 690, 7417, 7296, 323, 11226, 38702, 31357, 505, 220, 17, 303, 67, 8761, 11, 3235, 17882, 17569, 11, 311, 220, 868, 339, 6825, 627, 791, 4409, 596, 7782, 315, 279, 47745, 19514, 301, 439, 264, 330, 10516, 16150, 7401, 1 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095 ]
4,096
[ 23855, 23756, 374, 539, 11961, 1664, 449, 279, 48838, 10913, 11182, 8184, 10229, 323, 32479, 315, 31480, 13, 578, 4751, 330, 10516, 16150, 7401, 1, 16168, 3445, 4228, 2680, 555, 18054, 439, 1690, 32116, 439, 3284, 311, 636, 23855, 1274, 1022, 279, 14708, 13, 22868, 53391, 25953, 10975, 26068, 8225, 5513, 279, 4409, 6325, 279, 47745, 19514, 301, 1193, 439, 264, 330, 8846, 4751, 1, 6425, 311, 48838, 596, 7982, 23855, 3575, 13, 2030, 11920, 922, 54739, 1022, 4754, 13707, 11, 279, 48838, 10913, 11182, 323, 32479, 315, 31480, 1390, 311, 1440, 7041, 1148, 330, 8846, 4751, 1, 3445, 13, 2435, 11472, 264, 5224, 315, 2867, 7537, 369, 279, 81481, 323, 3508, 279, 4409, 374, 11411, 311, 1202, 4113, 11376, 369, 279, 48838, 10913, 11182, 13, 48838, 32479, 315, 31480, 12432, 73227, 39119, 38239, 279, 4409, 753, 6206, 527, 17791, 4245, 311, 279, 7452, 1614, 7016, 22973, 1274, 5496, 389, 279, 14708, 13, 3005, 1071, 810, 52888, 323, 3600, 690, 13967, 2187, 279, 4409, 311, 29262, 17294, 389, 279, 82835, 477, 1023, 5789, 279, 3363, 374, 3515, 12544, 627, 33, 408, 753, 23855, 11501, 1253, 733, 1603, 11969, 420, 4498, 13, 362, 13945, 13019, 20984, 1053, 1397, 264, 586, 7055, 311, 3703, 16166, 29135, 505, 2949, 220, 16, 11, 931, 7693, 315, 586, 8853, 439, 1664, 439, 389, 3230, 6732, 13, 578, 6767, 1053, 1205, 7154, 220, 806, 11, 931, 26391, 33728, 311, 1304, 279, 6841, 26938, 13, 66659, 311, 264, 3284, 9152, 3190, 1022, 86858, 6825, 33230, 19228, 323, 11920, 10495, 311, 2231, 279, 4360, 1603, 11969, 13, 578, 6767, 1053, 4017, 3363, 11006, 323, 1397, 26391, 14765, 369, 1054, 66, 7770, 13124, 315, 23855, 23756, 6732, 1, 482, 2737, 11983, 14726, 32161, 264, 15690, 16665, 477, 6617, 30619, 44288, 13077, 627, 5001, 331, 2142, 6406, 7694, 323, 45503, 23872, 45433, 1403, 48838, 3026, 389, 9259, 9305, 6740, 13658, 627, 1688, 922, 220, 19, 25, 966, 281, 749, 13, 279, 19149, 45503, 8113, 16846, 311, 264, 1650, 505, 264, 220, 777, 12, 323, 220, 508, 4771, 2362, 889, 1071, 814, 1051, 61158, 6427, 1054, 6161, 9935, 863, 994, 872, 65046, 6244, 93941, 520, 459, 17543, 13, 578, 3026, 1051, 220, 2031, 7693, 505, 279, 6964, 315, 279, 7147, 323, 922, 220, 1049, 7693, 505, 279, 5015, 13, 362, 29433, 52, 26202, 305, 43708, 311, 279, 1948, 315, 33659, 727, 35305, 19177, 323, 574, 3025, 311, 13365, 4134, 279, 65046, 10923, 1124, 311, 3136, 872, 38052, 13, 3277, 279, 94751, 10837, 1139, 12544, 1578, 29433, 52, 23872, 743, 709, 264, 61158, 6427, 1887, 13, 49669, 3116, 4207, 3010, 279, 94751, 1903, 433, 311, 279, 5740, 71113, 80491, 627, 7778, 1752, 3190, 388, 5496, 389, 220, 17, 303, 323, 21053, 3258, 617, 1027, 3309, 311, 5387, 279, 3158, 2949, 279, 1828, 1403, 5672, 13, 1666, 3685, 11, 279, 4409, 315, 48838, 753, 5597, 311, 2867, 279, 23855, 3190, 11263, 264, 1934, 555, 4379, 902, 14610, 279, 2816, 1054, 39257, 2029, 48838, 4409, 10790, 16645, 17262, 1071, 279, 4409, 374, 2768, 264, 16287, 220, 975, 1938, 5406, 1920, 311, 2187, 2532, 12850, 892, 311, 1520, 312, 7830, 1274, 11754, 555, 279, 5597, 13, 6342, 1071, 1063, 3190, 11062, 690, 3351, 311, 279, 220, 17, 303, 6825, 75921, 11, 1418, 3885, 690, 3351, 311, 1023, 16166, 6732, 13, 6342, 1071, 1070, 527, 220, 975, 28036, 2561, 520, 279, 14829, 6825, 75921, 627, 791, 48838, 4409, 9251, 690, 65878, 279, 4360, 315, 2875, 4751, 48104, 323, 872, 5536, 389, 17049, 11983, 13, 763, 264, 6574, 8079, 11, 279, 15177, 15243, 922, 279, 1205, 311, 463, 64119, 37377, 279, 2875, 9860, 19160, 3157, 13, 1115, 10683, 11, 279, 3363, 690, 6929, 459, 25261, 315, 682, 2875, 9860, 48104, 304, 48838, 311, 1456, 10765, 12079, 48104, 13, 362, 10795, 1566, 1060, 8710, 5897, 11, 2875, 9860, 48104, 617, 8738, 311, 5376, 13, 10291, 1457, 279, 1396, 315, 2875, 9860, 48104, 26267, 15480, 304, 48838, 374, 2212, 220, 1041, 15, 13, 578, 3363, 374, 11920, 922, 279, 5536, 389, 279, 18539, 315, 1317, 4751, 48104, 13, 763, 264, 10795, 1566, 1060, 315, 9879, 2875, 9860, 19160, 3424, 7980, 11, 1455, 68, 1274, 22628, 330, 6518, 832, 88, 1, 439, 279, 2944, 814, 14896, 311, 8175, 2875, 4751, 6296, 13, 1317, 4751, 13, 1102, 596, 6089, 29820, 311, 264, 11983, 42834, 369, 1274, 889, 14614, 8175, 1317, 4751, 13, 578, 3363, 6944, 311, 2731, 3619, 1268, 311, 84084, 553, 20197, 315, 2875, 4751, 48104, 311, 5625, 872, 6012, 1139, 1317, 9860, 48104, 627, 32, 5597, 555, 48838, 4409, 9251, 1105, 311, 3780, 279, 47745, 19514, 301, 323, 2543, 433, 1139, 264, 3428, 22881, 23756, 374, 13633, 279, 44850, 315, 7510, 449, 279, 48838, 10913, 11182, 8184, 10229, 323, 48838, 32479, 315, 31480, 627, 791, 4409, 15075, 279, 81481, 304, 6186, 369, 400, 19, 13, 2131, 34629, 11441, 449, 279, 11224, 14944, 315, 1701, 279, 3424, 439, 264, 3428, 16150, 7401, 23756, 13, 12781, 6787, 5343, 1701, 279, 4857, 439, 264, 502, 3363, 14321, 11, 11983, 477, 586, 3634, 13, 73227, 39119, 11, 4900, 323, 12432, 315, 279, 48838, 32479, 315, 31480, 11, 1071, 279, 47745, 19514, 301, 374, 264, 8009, 5873, 2728, 1202, 3813, 323, 71199, 2949, 279, 48838, 10913, 11182, 13, 3005, 3235, 449, 7510, 449, 279, 48838, 10913, 11182, 10229, 6267, 12197, 94165, 872, 4747, 323, 35792, 279, 3363, 3493, 264, 2867, 5224, 315, 7537, 369, 279, 9689, 596, 1005, 627, 77980, 63411, 6924, 279, 21811, 75772, 315, 264, 48838, 2162, 4216, 13985, 6693, 13, 48838, 6785, 323, 45503, 16846, 311, 279, 1901, 16080, 9728, 304, 3959, 331, 2142, 11188, 35848, 2212, 220, 21, 25, 868, 1097, 311, 264, 1934, 315, 16603, 5108, 505, 264, 9760, 753, 15485, 13, 3277, 814, 11721, 389, 279, 6237, 11, 53206, 1766, 16603, 574, 4121, 24060, 505, 24923, 279, 384, 4798, 315, 279, 19833, 15485, 13, 36037, 82, 1051, 3025, 311, 5457, 1825, 279, 19833, 6134, 323, 6288, 56807, 819, 279, 4027, 1603, 433, 9041, 505, 279, 74721, 1139, 279, 1925, 3838, 13, 578, 2853, 315, 5674, 374, 13240, 520, 810, 1109, 220, 1049, 11, 931, 11441, 13, 2684, 1051, 912, 5068, 15319, 627, 32, 220, 2946, 4771, 6418, 5333, 574, 83757, 2130, 291, 311, 800, 13, 15274, 8079, 1306, 264, 63117, 11134, 389, 36608, 13, 42090, 627, 11439, 311, 264, 36608, 13, 42090, 29003, 11, 61595, 45498, 32448, 279, 5333, 596, 37185, 10612, 1603, 6988, 287, 48838, 6785, 612, 45503, 323, 8260, 369, 264, 6593, 36125, 13, 578, 5333, 11, 889, 574, 12512, 264, 32635, 11, 574, 40460, 311, 4410, 25036, 1405, 1364, 574, 23217, 311, 800, 13, 15274, 4669, 6690, 2723, 13, 763, 7552, 11, 1403, 3026, 8636, 304, 8821, 24455, 1306, 46574, 389, 279, 16700, 13, 19198, 1919, 42117, 4771, 6418, 11355, 5124, 392, 2431, 323, 220, 1399, 4771, 6418, 77449, 12587, 261, 8636, 1603, 814, 1436, 387, 4529, 311, 279, 8952, 627, 1966, 5587, 220, 16, 11, 220, 2366, 17, 11, 9808, 505, 279, 9671, 13075, 10289, 6011, 16846, 311, 264, 1934, 315, 264, 1054, 33067, 14656, 863, 10658, 430, 3952, 2035, 304, 279, 3158, 315, 220, 17, 303, 323, 622, 66618, 304, 9671, 13075, 13, 67587, 46095, 11, 2383, 13627, 574, 30316, 430, 459, 10186, 74881, 11996, 1047, 1027, 12504, 1022, 520, 800, 13, 15274, 15429, 304, 9671, 13075, 13, 578, 11996, 574, 40460, 4669, 6690, 2125, 311, 800, 13, 15274, 48838, 323, 374, 3685, 311, 18167, 13, 3804, 72457, 8990, 19543, 304, 279, 8163, 315, 46656, 43396, 4506, 11, 220, 717, 14, 1682, 14, 2839, 11, 315, 9671, 13075, 11, 369, 10405, 315, 44617, 291, 52483, 304, 279, 10657, 38182, 11, 50071, 304, 279, 5629, 38182, 11, 1252, 20510, 1285, 5560, 315, 264, 28877, 11, 323, 11258, 4628, 13, 1115, 8990, 374, 14529, 323, 7931, 449, 2038, 922, 420, 1567, 527, 21190, 311, 3729, 9671, 13075, 10289, 6011, 34387, 1924, 14129, 55488, 477, 47431, 54090, 441, 520, 1393, 91, 76098, 19925, 8651, 91, 662, 578, 9671, 13075, 10289, 6011, 574, 39061, 555, 3697, 315, 279, 10913, 19313, 17559, 69835, 8068, 323, 279, 10913, 19313, 32708, 6075, 8068, 627, 791, 48838, 28780, 9849, 706, 11349, 2082, 4442, 311, 29251, 279, 3813, 315, 279, 3686, 20486, 47339, 502, 3959, 331, 2142, 3142, 11896, 744, 13, 578, 2082, 4442, 11, 22690, 555, 279, 12396, 7159, 11, 1053, 2187, 279, 3813, 315, 502, 586, 6875, 311, 387, 54368, 291, 1139, 279, 3363, 11, 8994, 4860, 922, 46323, 425, 8670, 13, 578, 502, 6875, 1053, 387, 5918, 1022, 549, 815, 13, 29866, 220, 508, 11, 4871, 10411, 48838, 753, 16036, 6650, 19254, 11, 719, 4994, 3363, 13693, 13, 763, 220, 2366, 15, 11, 3959, 331, 2142, 6406, 11969, 12054, 264, 400, 6280, 46149, 54135, 11049, 311, 17452, 279, 220, 1041, 11, 931, 34047, 21117, 6875, 323, 369, 18637, 311, 1023, 20797, 304, 279, 14189, 13, 12220, 7159, 753, 6574, 11, 19949, 315, 279, 2447, 1071, 77258, 2082, 4442, 369, 279, 2447, 96236, 279, 2254, 4363, 1005, 1887, 627, 33600, 800, 13, 15274, 8952, 78970, 16549, 11, 220, 2031, 4771, 6418, 77449, 26531, 718, 11, 374, 13487, 315, 304, 76571, 2718, 31687, 264, 220, 2813, 4771, 6418, 8893, 304, 220, 679, 22, 13, 362, 400, 7007, 11, 931, 19831, 574, 13019, 420, 2046, 304, 3959, 331, 2142, 6406, 28317, 7301, 13, 26531, 718, 574, 42184, 369, 400, 16, 3610, 11441, 1566, 7474, 555, 2500, 2768, 7392, 11737, 18873, 1306, 1364, 55093, 264, 6593, 7151, 520, 800, 13, 15274, 304, 220, 2366, 15, 13, 26531, 718, 11, 889, 22311, 304, 6186, 11, 15164, 279, 8349, 304, 279, 1176, 1162, 323, 17644, 311, 617, 279, 1176, 19831, 27292, 13, 1283, 706, 3686, 311, 387, 10434, 449, 279, 2132, 19831, 13, 18919, 16431, 127914, 414, 88, 11, 889, 11105, 2225, 3278, 11, 1071, 7392, 56217, 527, 3629, 15107, 311, 279, 6593, 4913, 1606, 315, 279, 1579, 2237, 315, 98770, 433, 6209, 627, 32, 11913, 706, 15164, 264, 1715, 555, 1403, 40246, 13487, 304, 264, 16806, 10672, 520, 48838, 596, 86883, 17334, 17040, 1403, 1667, 4227, 13, 220, 2790, 4771, 6418, 5951, 5696, 8096, 12336, 3320, 258, 3751, 40001, 539, 16390, 311, 6900, 315, 11965, 11, 47305, 2987, 323, 95072, 1306, 25012, 264, 3776, 893, 304, 264, 65136, 6416, 1603, 18054, 1461, 505, 279, 5951, 369, 539, 12512, 15653, 13, 1283, 574, 3010, 14219, 439, 264, 5696, 369, 96106, 3536, 6460, 46955, 13, 578, 11996, 11, 423, 22865, 1901, 2194, 2052, 267, 354, 11, 574, 12800, 520, 279, 6237, 369, 19755, 993, 15154, 389, 323, 27903, 3320, 258, 3751, 2768, 279, 10672, 13, 578, 1403, 3026, 9922, 304, 3959, 331, 2142, 6406, 5590, 7159, 1306, 16351, 264, 8431, 30485, 93501, 311, 279, 59323, 315, 682, 10405, 2403, 1855, 1023, 13, 2030, 3959, 331, 2142, 6406, 28317, 7301, 20819, 69410, 25088, 5837, 74, 6347, 15164, 279, 1715, 11, 17864, 430, 330, 15693, 61001, 42254, 1, 1990, 2225, 9875, 1176, 387, 6773, 13, 362, 6908, 586, 48156, 323, 36569, 315, 27052, 8272, 279, 8163, 315, 2052, 267, 354, 11, 889, 374, 5348, 11, 323, 539, 3320, 258, 3751, 11, 889, 374, 4251, 627, 32, 26888, 59800, 304, 1862, 315, 34725, 20095, 690, 387, 5762, 3432, 304, 19441, 48838, 627, 791, 19768, 11, 21685, 555, 578, 98403, 19903, 488, 690, 1935, 2035, 520, 38245, 520, 48838, 753, 26888, 39348, 520, 9935, 612, 91074, 13, 3623, 12, 8629, 3213, 11517, 57729, 1071, 1274, 527, 18719, 311, 5249, 304, 311, 3237, 872, 14076, 311, 279, 4208, 304, 19278, 323, 1862, 315, 1202, 10495, 13, 57729, 1071, 7159, 25283, 264, 1695, 53019, 369, 279, 9096, 19768, 627, 1548, 1071, 5606, 449, 20405, 311, 19278, 374, 10788, 311, 5249, 279, 1567, 477, 5606, 11815, 1917, 20095, 627, 791, 48838, 5657, 612, 57857, 11182, 374, 24009, 13, 763, 459, 5149, 311, 9504, 32177, 264, 32959, 1567, 690, 1935, 2035, 7950, 505, 220, 19, 12, 22, 5298, 520, 279, 48838, 5657, 612, 57857, 11182, 5274, 520, 220, 23987, 328, 1196, 13, 19326, 6825, 627, 791, 3816, 12669, 6150, 8925, 7159, 1903, 264, 4686, 59214, 315, 1202, 5597, 311, 842, 1202, 7056, 4947, 1603, 279, 1614, 753, 7056, 35381, 32792, 2457, 13, 1952, 7552, 220, 845, 339, 11, 279, 4580, 5946, 264, 11175, 311, 1304, 27227, 10309, 994, 19313, 54166, 1202, 7056, 35381, 5587, 220, 717, 339, 13, 578, 4580, 753, 5597, 1403, 5672, 4227, 1053, 617, 9277, 279, 5597, 311, 10051, 27227, 304, 279, 6206, 315, 6699, 323, 842, 279, 8853, 7056, 4947, 4216, 11, 389, 5587, 220, 17, 303, 320, 41619, 570, 435, 4535, 449, 279, 13336, 315, 8987, 35018, 323, 13639, 13490, 872, 21746, 369, 711, 7169, 279, 1614, 11, 279, 5597, 574, 67414, 555, 13639, 29590, 889, 11472, 459, 14247, 471, 311, 279, 55309, 2007, 13, 578, 4580, 16626, 65178, 7159, 311, 58299, 555, 32828, 1614, 6787, 627, 791, 3959, 331, 2142, 6406, 40839, 753, 9476, 374, 3411, 369, 1520, 304, 72991, 264, 220, 1227, 4771, 6418, 5034, 42609, 893, 889, 15203, 3201, 505, 813, 2162, 7418, 2212, 38245, 13, 1283, 706, 539, 1027, 6755, 505, 2533, 13, 59809, 3842, 26232, 26850, 574, 1566, 3970, 304, 279, 220, 6330, 410, 2565, 315, 50930, 9728, 13, 10289, 2019, 568, 374, 3967, 311, 59207, 71, 3043, 13, 220, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23855, 23756, 374, 539, 11961, 1664, 449, 279, 48838, 10913, 11182, 8184, 10229, 323, 32479, 315, 31480, 13, 578, 4751, 330, 10516, 16150, 7401, 1, 16168, 3445, 4228, 2680, 555, 18054, 439, 1690, 32116, 439, 3284, 311, 636, 23855, 1274, 1022, 279, 14708, 13, 22868, 53391, 25953, 10975, 26068, 8225, 5513, 279, 4409, 6325, 279, 47745, 19514, 301, 1193, 439, 264, 330, 8846, 4751, 1, 6425, 311, 48838, 596, 7982, 23855, 3575, 13, 2030, 11920, 922, 54739, 1022, 4754, 13707, 11, 279, 48838, 10913, 11182, 323, 32479, 315, 31480, 1390, 311, 1440, 7041, 1148, 330, 8846, 4751, 1, 3445, 13, 2435, 11472, 264, 5224, 315, 2867, 7537, 369, 279, 81481, 323, 3508, 279, 4409, 374, 11411, 311, 1202, 4113, 11376, 369, 279, 48838, 10913, 11182, 13, 48838, 32479, 315, 31480, 12432, 73227, 39119, 38239, 279, 4409, 753, 6206, 527, 17791, 4245, 311, 279, 7452, 1614, 7016, 22973, 1274, 5496, 389, 279, 14708, 13, 3005, 1071, 810, 52888, 323, 3600, 690, 13967, 2187, 279, 4409, 311, 29262, 17294, 389, 279, 82835, 477, 1023, 5789, 279, 3363, 374, 3515, 12544, 627, 33, 408, 753, 23855, 11501, 1253, 733, 1603, 11969, 420, 4498, 13, 362, 13945, 13019, 20984, 1053, 1397, 264, 586, 7055, 311, 3703, 16166, 29135, 505, 2949, 220, 16, 11, 931, 7693, 315, 586, 8853, 439, 1664, 439, 389, 3230, 6732, 13, 578, 6767, 1053, 1205, 7154, 220, 806, 11, 931, 26391, 33728, 311, 1304, 279, 6841, 26938, 13, 66659, 311, 264, 3284, 9152, 3190, 1022, 86858, 6825, 33230, 19228, 323, 11920, 10495, 311, 2231, 279, 4360, 1603, 11969, 13, 578, 6767, 1053, 4017, 3363, 11006, 323, 1397, 26391, 14765, 369, 1054, 66, 7770, 13124, 315, 23855, 23756, 6732, 1, 482, 2737, 11983, 14726, 32161, 264, 15690, 16665, 477, 6617, 30619, 44288, 13077, 627, 5001, 331, 2142, 6406, 7694, 323, 45503, 23872, 45433, 1403, 48838, 3026, 389, 9259, 9305, 6740, 13658, 627, 1688, 922, 220, 19, 25, 966, 281, 749, 13, 279, 19149, 45503, 8113, 16846, 311, 264, 1650, 505, 264, 220, 777, 12, 323, 220, 508, 4771, 2362, 889, 1071, 814, 1051, 61158, 6427, 1054, 6161, 9935, 863, 994, 872, 65046, 6244, 93941, 520, 459, 17543, 13, 578, 3026, 1051, 220, 2031, 7693, 505, 279, 6964, 315, 279, 7147, 323, 922, 220, 1049, 7693, 505, 279, 5015, 13, 362, 29433, 52, 26202, 305, 43708, 311, 279, 1948, 315, 33659, 727, 35305, 19177, 323, 574, 3025, 311, 13365, 4134, 279, 65046, 10923, 1124, 311, 3136, 872, 38052, 13, 3277, 279, 94751, 10837, 1139, 12544, 1578, 29433, 52, 23872, 743, 709, 264, 61158, 6427, 1887, 13, 49669, 3116, 4207, 3010, 279, 94751, 1903, 433, 311, 279, 5740, 71113, 80491, 627, 7778, 1752, 3190, 388, 5496, 389, 220, 17, 303, 323, 21053, 3258, 617, 1027, 3309, 311, 5387, 279, 3158, 2949, 279, 1828, 1403, 5672, 13, 1666, 3685, 11, 279, 4409, 315, 48838, 753, 5597, 311, 2867, 279, 23855, 3190, 11263, 264, 1934, 555, 4379, 902, 14610, 279, 2816, 1054, 39257, 2029, 48838, 4409, 10790, 16645, 17262, 1071, 279, 4409, 374, 2768, 264, 16287, 220, 975, 1938, 5406, 1920, 311, 2187, 2532, 12850, 892, 311, 1520, 312, 7830, 1274, 11754, 555, 279, 5597, 13, 6342, 1071, 1063, 3190, 11062, 690, 3351, 311, 279, 220, 17, 303, 6825, 75921, 11, 1418, 3885, 690, 3351, 311, 1023, 16166, 6732, 13, 6342, 1071, 1070, 527, 220, 975, 28036, 2561, 520, 279, 14829, 6825, 75921, 627, 791, 48838, 4409, 9251, 690, 65878, 279, 4360, 315, 2875, 4751, 48104, 323, 872, 5536, 389, 17049, 11983, 13, 763, 264, 6574, 8079, 11, 279, 15177, 15243, 922, 279, 1205, 311, 463, 64119, 37377, 279, 2875, 9860, 19160, 3157, 13, 1115, 10683, 11, 279, 3363, 690, 6929, 459, 25261, 315, 682, 2875, 9860, 48104, 304, 48838, 311, 1456, 10765, 12079, 48104, 13, 362, 10795, 1566, 1060, 8710, 5897, 11, 2875, 9860, 48104, 617, 8738, 311, 5376, 13, 10291, 1457, 279, 1396, 315, 2875, 9860, 48104, 26267, 15480, 304, 48838, 374, 2212, 220, 1041, 15, 13, 578, 3363, 374, 11920, 922, 279, 5536, 389, 279, 18539, 315, 1317, 4751, 48104, 13, 763, 264, 10795, 1566, 1060, 315, 9879, 2875, 9860, 19160, 3424, 7980, 11, 1455, 68, 1274, 22628, 330, 6518, 832, 88, 1, 439, 279, 2944, 814, 14896, 311, 8175, 2875, 4751, 6296, 13, 1317, 4751, 13, 1102, 596, 6089, 29820, 311, 264, 11983, 42834, 369, 1274, 889, 14614, 8175, 1317, 4751, 13, 578, 3363, 6944, 311, 2731, 3619, 1268, 311, 84084, 553, 20197, 315, 2875, 4751, 48104, 311, 5625, 872, 6012, 1139, 1317, 9860, 48104, 627, 32, 5597, 555, 48838, 4409, 9251, 1105, 311, 3780, 279, 47745, 19514, 301, 323, 2543, 433, 1139, 264, 3428, 22881, 23756, 374, 13633, 279, 44850, 315, 7510, 449, 279, 48838, 10913, 11182, 8184, 10229, 323, 48838, 32479, 315, 31480, 627, 791, 4409, 15075, 279, 81481, 304, 6186, 369, 400, 19, 13, 2131, 34629, 11441, 449, 279, 11224, 14944, 315, 1701, 279, 3424, 439, 264, 3428, 16150, 7401, 23756, 13, 12781, 6787, 5343, 1701, 279, 4857, 439, 264, 502, 3363, 14321, 11, 11983, 477, 586, 3634, 13, 73227, 39119, 11, 4900, 323, 12432, 315, 279, 48838, 32479, 315, 31480, 11, 1071, 279, 47745, 19514, 301, 374, 264, 8009, 5873, 2728, 1202, 3813, 323, 71199, 2949, 279, 48838, 10913, 11182, 13, 3005, 3235, 449, 7510, 449, 279, 48838, 10913, 11182, 10229, 6267, 12197, 94165, 872, 4747, 323, 35792, 279, 3363, 3493, 264, 2867, 5224, 315, 7537, 369, 279, 9689, 596, 1005, 627, 77980, 63411, 6924, 279, 21811, 75772, 315, 264, 48838, 2162, 4216, 13985, 6693, 13, 48838, 6785, 323, 45503, 16846, 311, 279, 1901, 16080, 9728, 304, 3959, 331, 2142, 11188, 35848, 2212, 220, 21, 25, 868, 1097, 311, 264, 1934, 315, 16603, 5108, 505, 264, 9760, 753, 15485, 13, 3277, 814, 11721, 389, 279, 6237, 11, 53206, 1766, 16603, 574, 4121, 24060, 505, 24923, 279, 384, 4798, 315, 279, 19833, 15485, 13, 36037, 82, 1051, 3025, 311, 5457, 1825, 279, 19833, 6134, 323, 6288, 56807, 819, 279, 4027, 1603, 433, 9041, 505, 279, 74721, 1139, 279, 1925, 3838, 13, 578, 2853, 315, 5674, 374, 13240, 520, 810, 1109, 220, 1049, 11, 931, 11441, 13, 2684, 1051, 912, 5068, 15319, 627, 32, 220, 2946, 4771, 6418, 5333, 574, 83757, 2130, 291, 311, 800, 13, 15274, 8079, 1306, 264, 63117, 11134, 389, 36608, 13, 42090, 627, 11439, 311, 264, 36608, 13, 42090, 29003, 11, 61595, 45498, 32448, 279, 5333, 596, 37185, 10612, 1603, 6988, 287, 48838, 6785, 612, 45503, 323, 8260, 369, 264, 6593, 36125, 13, 578, 5333, 11, 889, 574, 12512, 264, 32635, 11, 574, 40460, 311, 4410, 25036, 1405, 1364, 574, 23217, 311, 800, 13, 15274, 4669, 6690, 2723, 13, 763, 7552, 11, 1403, 3026, 8636, 304, 8821, 24455, 1306, 46574, 389, 279, 16700, 13, 19198, 1919, 42117, 4771, 6418, 11355, 5124, 392, 2431, 323, 220, 1399, 4771, 6418, 77449, 12587, 261, 8636, 1603, 814, 1436, 387, 4529, 311, 279, 8952, 627, 1966, 5587, 220, 16, 11, 220, 2366, 17, 11, 9808, 505, 279, 9671, 13075, 10289, 6011, 16846, 311, 264, 1934, 315, 264, 1054, 33067, 14656, 863, 10658, 430, 3952, 2035, 304, 279, 3158, 315, 220, 17, 303, 323, 622, 66618, 304, 9671, 13075, 13, 67587, 46095, 11, 2383, 13627, 574, 30316, 430, 459, 10186, 74881, 11996, 1047, 1027, 12504, 1022, 520, 800, 13, 15274, 15429, 304, 9671, 13075, 13, 578, 11996, 574, 40460, 4669, 6690, 2125, 311, 800, 13, 15274, 48838, 323, 374, 3685, 311, 18167, 13, 3804, 72457, 8990, 19543, 304, 279, 8163, 315, 46656, 43396, 4506, 11, 220, 717, 14, 1682, 14, 2839, 11, 315, 9671, 13075, 11, 369, 10405, 315, 44617, 291, 52483, 304, 279, 10657, 38182, 11, 50071, 304, 279, 5629, 38182, 11, 1252, 20510, 1285, 5560, 315, 264, 28877, 11, 323, 11258, 4628, 13, 1115, 8990, 374, 14529, 323, 7931, 449, 2038, 922, 420, 1567, 527, 21190, 311, 3729, 9671, 13075, 10289, 6011, 34387, 1924, 14129, 55488, 477, 47431, 54090, 441, 520, 1393, 91, 76098, 19925, 8651, 91, 662, 578, 9671, 13075, 10289, 6011, 574, 39061, 555, 3697, 315, 279, 10913, 19313, 17559, 69835, 8068, 323, 279, 10913, 19313, 32708, 6075, 8068, 627, 791, 48838, 28780, 9849, 706, 11349, 2082, 4442, 311, 29251, 279, 3813, 315, 279, 3686, 20486, 47339, 502, 3959, 331, 2142, 3142, 11896, 744, 13, 578, 2082, 4442, 11, 22690, 555, 279, 12396, 7159, 11, 1053, 2187, 279, 3813, 315, 502, 586, 6875, 311, 387, 54368, 291, 1139, 279, 3363, 11, 8994, 4860, 922, 46323, 425, 8670, 13, 578, 502, 6875, 1053, 387, 5918, 1022, 549, 815, 13, 29866, 220, 508, 11, 4871, 10411, 48838, 753, 16036, 6650, 19254, 11, 719, 4994, 3363, 13693, 13, 763, 220, 2366, 15, 11, 3959, 331, 2142, 6406, 11969, 12054, 264, 400, 6280, 46149, 54135, 11049, 311, 17452, 279, 220, 1041, 11, 931, 34047, 21117, 6875, 323, 369, 18637, 311, 1023, 20797, 304, 279, 14189, 13, 12220, 7159, 753, 6574, 11, 19949, 315, 279, 2447, 1071, 77258, 2082, 4442, 369, 279, 2447, 96236, 279, 2254, 4363, 1005, 1887, 627, 33600, 800, 13, 15274, 8952, 78970, 16549, 11, 220, 2031, 4771, 6418, 77449, 26531, 718, 11, 374, 13487, 315, 304, 76571, 2718, 31687, 264, 220, 2813, 4771, 6418, 8893, 304, 220, 679, 22, 13, 362, 400, 7007, 11, 931, 19831, 574, 13019, 420, 2046, 304, 3959, 331, 2142, 6406, 28317, 7301, 13, 26531, 718, 574, 42184, 369, 400, 16, 3610, 11441, 1566, 7474, 555, 2500, 2768, 7392, 11737, 18873, 1306, 1364, 55093, 264, 6593, 7151, 520, 800, 13, 15274, 304, 220, 2366, 15, 13, 26531, 718, 11, 889, 22311, 304, 6186, 11, 15164, 279, 8349, 304, 279, 1176, 1162, 323, 17644, 311, 617, 279, 1176, 19831, 27292, 13, 1283, 706, 3686, 311, 387, 10434, 449, 279, 2132, 19831, 13, 18919, 16431, 127914, 414, 88, 11, 889, 11105, 2225, 3278, 11, 1071, 7392, 56217, 527, 3629, 15107, 311, 279, 6593, 4913, 1606, 315, 279, 1579, 2237, 315, 98770, 433, 6209, 627, 32, 11913, 706, 15164, 264, 1715, 555, 1403, 40246, 13487, 304, 264, 16806, 10672, 520, 48838, 596, 86883, 17334, 17040, 1403, 1667, 4227, 13, 220, 2790, 4771, 6418, 5951, 5696, 8096, 12336, 3320, 258, 3751, 40001, 539, 16390, 311, 6900, 315, 11965, 11, 47305, 2987, 323, 95072, 1306, 25012, 264, 3776, 893, 304, 264, 65136, 6416, 1603, 18054, 1461, 505, 279, 5951, 369, 539, 12512, 15653, 13, 1283, 574, 3010, 14219, 439, 264, 5696, 369, 96106, 3536, 6460, 46955, 13, 578, 11996, 11, 423, 22865, 1901, 2194, 2052, 267, 354, 11, 574, 12800, 520, 279, 6237, 369, 19755, 993, 15154, 389, 323, 27903, 3320, 258, 3751, 2768, 279, 10672, 13, 578, 1403, 3026, 9922, 304, 3959, 331, 2142, 6406, 5590, 7159, 1306, 16351, 264, 8431, 30485, 93501, 311, 279, 59323, 315, 682, 10405, 2403, 1855, 1023, 13, 2030, 3959, 331, 2142, 6406, 28317, 7301, 20819, 69410, 25088, 5837, 74, 6347, 15164, 279, 1715, 11, 17864, 430, 330, 15693, 61001, 42254, 1, 1990, 2225, 9875, 1176, 387, 6773, 13, 362, 6908, 586, 48156, 323, 36569, 315, 27052, 8272, 279, 8163, 315, 2052, 267, 354, 11, 889, 374, 5348, 11, 323, 539, 3320, 258, 3751, 11, 889, 374, 4251, 627, 32, 26888, 59800, 304, 1862, 315, 34725, 20095, 690, 387, 5762, 3432, 304, 19441, 48838, 627, 791, 19768, 11, 21685, 555, 578, 98403, 19903, 488, 690, 1935, 2035, 520, 38245, 520, 48838, 753, 26888, 39348, 520, 9935, 612, 91074, 13, 3623, 12, 8629, 3213, 11517, 57729, 1071, 1274, 527, 18719, 311, 5249, 304, 311, 3237, 872, 14076, 311, 279, 4208, 304, 19278, 323, 1862, 315, 1202, 10495, 13, 57729, 1071, 7159, 25283, 264, 1695, 53019, 369, 279, 9096, 19768, 627, 1548, 1071, 5606, 449, 20405, 311, 19278, 374, 10788, 311, 5249, 279, 1567, 477, 5606, 11815, 1917, 20095, 627, 791, 48838, 5657, 612, 57857, 11182, 374, 24009, 13, 763, 459, 5149, 311, 9504, 32177, 264, 32959, 1567, 690, 1935, 2035, 7950, 505, 220, 19, 12, 22, 5298, 520, 279, 48838, 5657, 612, 57857, 11182, 5274, 520, 220, 23987, 328, 1196, 13, 19326, 6825, 627, 791, 3816, 12669, 6150, 8925, 7159, 1903, 264, 4686, 59214, 315, 1202, 5597, 311, 842, 1202, 7056, 4947, 1603, 279, 1614, 753, 7056, 35381, 32792, 2457, 13, 1952, 7552, 220, 845, 339, 11, 279, 4580, 5946, 264, 11175, 311, 1304, 27227, 10309, 994, 19313, 54166, 1202, 7056, 35381, 5587, 220, 717, 339, 13, 578, 4580, 753, 5597, 1403, 5672, 4227, 1053, 617, 9277, 279, 5597, 311, 10051, 27227, 304, 279, 6206, 315, 6699, 323, 842, 279, 8853, 7056, 4947, 4216, 11, 389, 5587, 220, 17, 303, 320, 41619, 570, 435, 4535, 449, 279, 13336, 315, 8987, 35018, 323, 13639, 13490, 872, 21746, 369, 711, 7169, 279, 1614, 11, 279, 5597, 574, 67414, 555, 13639, 29590, 889, 11472, 459, 14247, 471, 311, 279, 55309, 2007, 13, 578, 4580, 16626, 65178, 7159, 311, 58299, 555, 32828, 1614, 6787, 627, 791, 3959, 331, 2142, 6406, 40839, 753, 9476, 374, 3411, 369, 1520, 304, 72991, 264, 220, 1227, 4771, 6418, 5034, 42609, 893, 889, 15203, 3201, 505, 813, 2162, 7418, 2212, 38245, 13, 1283, 706, 539, 1027, 6755, 505, 2533, 13, 59809, 3842, 26232, 26850, 574, 1566, 3970, 304, 279, 220, 6330, 410, 2565, 315, 50930, 9728, 13, 10289, 2019, 568, 374, 3967, 311, 59207, 71, 3043, 13, 220, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176 ]
2,177
[ 128000, 16, 13, 20, 47394, 1268, 1690, 315, 279, 58286, 6575, 779, 814, 94552, 4395, 323, 499, 1205, 311, 594, 1007, 11, 1890, 3245, 449, 14787, 29354, 814, 2751, 49373, 1139, 15808, 13, 720, 2675, 649, 636, 1063, 19883, 28812, 30398, 292, 3673, 505, 3185, 87422, 477, 304, 3230, 5789, 304, 279, 1917, 1023, 1109, 430, 433, 596, 30355, 15369, 781, 11780, 477, 505, 20021, 13, 3277, 499, 6381, 264, 3446, 13696, 499, 636, 1063, 14787, 5552, 311, 430, 13696, 358, 52940, 994, 499, 2865, 279, 1890, 3665, 1306, 11, 2466, 2151, 7564, 21701, 279, 1401, 311, 813, 3130, 389, 279, 8448, 499, 1205, 311, 4034, 369, 3446, 8125, 323, 706, 1063, 810, 46403, 1070, 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 ]
[ 128000, 16, 13, 20, 47394, 1268, 1690, 315, 279, 58286, 6575, 779, 814, 94552, 4395, 323, 499, 1205, 311, 594, 1007, 11, 1890, 3245, 449, 14787, 29354, 814, 2751, 49373, 1139, 15808, 13, 720, 2675, 649, 636, 1063, 19883, 28812, 30398, 292, 3673, 505, 3185, 87422, 477, 304, 3230, 5789, 304, 279, 1917, 1023, 1109, 430, 433, 596, 30355, 15369, 781, 11780, 477, 505, 20021, 13, 3277, 499, 6381, 264, 3446, 13696, 499, 636, 1063, 14787, 5552, 311, 430, 13696, 358, 52940, 994, 499, 2865, 279, 1890, 3665, 1306, 11, 2466, 2151, 7564, 21701, 279, 1401, 311, 813, 3130, 389, 279, 8448, 499, 1205, 311, 4034, 369, 3446, 8125, 323, 706, 1063, 810, 46403, 1070, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116 ]
117
[ 128000, 40, 1781, 1475, 892, 499, 2033, 279, 3430, 499, 636, 84153, 4780, 13, 400, 11711, 482, 5, 5289, 26, 400, 3965, 15, 320, 8370, 374, 17715, 505, 264, 328, 6347, 311, 220, 6550, 40355, 96516, 11, 358, 8101, 8, 374, 264, 1790, 11493, 7940, 304, 5178, 1109, 400, 3965, 15, 311, 400, 3101, 15, 320, 6550, 311, 16991, 668, 33050, 570, 2100, 433, 596, 2744, 2133, 311, 387, 1268, 1790, 499, 907, 32873, 20192, 499, 636, 304, 3878, 315, 4785, 323, 31638, 13, 85171, 4205, 3485, 220, 6550, 19945, 4023, 374, 264, 32873, 8895, 13, 1102, 596, 1070, 304, 3878, 315, 4785, 323, 58219, 11, 719, 539, 311, 279, 1486, 1405, 499, 4265, 387, 25406, 304, 3878, 315, 5178, 13, 4815, 90743, 32931, 374, 7344, 279, 4788, 13, 4427, 15687, 3137, 922, 433, 439, 264, 1847, 62439, 719, 358, 617, 912, 1176, 1450, 6677, 13, 2030, 5131, 279, 7729, 527, 779, 704, 1070, 430, 433, 596, 539, 5922, 13126, 7389, 499, 617, 3300, 311, 8395, 382, 4438, 5922, 433, 433, 374, 690, 4461, 6904, 389, 1268, 1790, 499, 12141, 323, 369, 1268, 1317, 520, 264, 892, 11, 323, 1101, 1268, 1790, 499, 3358, 3194, 430, 5066, 400, 1041, 15, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 40, 1781, 1475, 892, 499, 2033, 279, 3430, 499, 636, 84153, 4780, 13, 400, 11711, 482, 5, 5289, 26, 400, 3965, 15, 320, 8370, 374, 17715, 505, 264, 328, 6347, 311, 220, 6550, 40355, 96516, 11, 358, 8101, 8, 374, 264, 1790, 11493, 7940, 304, 5178, 1109, 400, 3965, 15, 311, 400, 3101, 15, 320, 6550, 311, 16991, 668, 33050, 570, 2100, 433, 596, 2744, 2133, 311, 387, 1268, 1790, 499, 907, 32873, 20192, 499, 636, 304, 3878, 315, 4785, 323, 31638, 13, 85171, 4205, 3485, 220, 6550, 19945, 4023, 374, 264, 32873, 8895, 13, 1102, 596, 1070, 304, 3878, 315, 4785, 323, 58219, 11, 719, 539, 311, 279, 1486, 1405, 499, 4265, 387, 25406, 304, 3878, 315, 5178, 13, 4815, 90743, 32931, 374, 7344, 279, 4788, 13, 4427, 15687, 3137, 922, 433, 439, 264, 1847, 62439, 719, 358, 617, 912, 1176, 1450, 6677, 13, 2030, 5131, 279, 7729, 527, 779, 704, 1070, 430, 433, 596, 539, 5922, 13126, 7389, 499, 617, 3300, 311, 8395, 382, 4438, 5922, 433, 433, 374, 690, 4461, 6904, 389, 1268, 1790, 499, 12141, 323, 369, 1268, 1317, 520, 264, 892, 11, 323, 1101, 1268, 1790, 499, 3358, 3194, 430, 5066, 400, 1041, 15, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201 ]
202
[ 128000, 11769, 892, 420, 3488, 374, 4691, 11, 1070, 527, 9709, 14847, 13, 2684, 596, 2744, 1063, 889, 2019, 814, 3077, 2646, 10534, 904, 48786, 11, 323, 1884, 889, 2019, 814, 617, 13, 4718, 3217, 1618, 690, 4762, 617, 33834, 323, 40291, 11, 1120, 1093, 4661, 12660, 13, 23371, 11, 1070, 527, 2103, 264, 2478, 34920, 7725, 1274, 11, 1120, 1093, 17277, 13, 2030, 499, 3358, 1505, 814, 527, 279, 13057, 23413, 13, 18185, 1694, 264, 1633, 2678, 11668, 315, 279, 4236, 11, 1475, 3776, 5575, 358, 3077, 3967, 520, 93454, 706, 1027, 1633, 5526, 11, 6992, 11, 323, 28530, 555, 872, 12637, 4236, 13, 15073, 51, 73477, 11, 499, 2834, 956, 1440, 10478, 499, 2586, 11, 719, 887, 387, 10032, 311, 1297, 389, 264, 1695, 3217, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 11769, 892, 420, 3488, 374, 4691, 11, 1070, 527, 9709, 14847, 13, 2684, 596, 2744, 1063, 889, 2019, 814, 3077, 2646, 10534, 904, 48786, 11, 323, 1884, 889, 2019, 814, 617, 13, 4718, 3217, 1618, 690, 4762, 617, 33834, 323, 40291, 11, 1120, 1093, 4661, 12660, 13, 23371, 11, 1070, 527, 2103, 264, 2478, 34920, 7725, 1274, 11, 1120, 1093, 17277, 13, 2030, 499, 3358, 1505, 814, 527, 279, 13057, 23413, 13, 18185, 1694, 264, 1633, 2678, 11668, 315, 279, 4236, 11, 1475, 3776, 5575, 358, 3077, 3967, 520, 93454, 706, 1027, 1633, 5526, 11, 6992, 11, 323, 28530, 555, 872, 12637, 4236, 13, 15073, 51, 73477, 11, 499, 2834, 956, 1440, 10478, 499, 2586, 11, 719, 887, 387, 10032, 311, 1297, 389, 264, 1695, 3217, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128 ]
129
[ 128000, 2520, 459, 24674, 11999, 892, 420, 3280, 304, 3116, 52610, 779, 3117, 1990, 1521, 1403, 11314, 11, 279, 1121, 5602, 912, 810, 1109, 3116, 3585, 50545, 18206, 323, 872, 18939, 389, 6740, 320, 1691, 14, 22, 8, 520, 72098, 627, 791, 38736, 574, 304, 279, 7872, 3582, 430, 420, 892, 433, 574, 279, 17136, 3185, 25270, 449, 430, 16996, 9610, 1389, 3582, 44145, 279, 2489, 1047, 311, 387, 4018, 2875, 449, 2380, 77662, 539, 311, 387, 57310, 1306, 459, 34707, 8798, 220, 1032, 10121, 6197, 311, 279, 51632, 3515, 311, 1935, 610, 9890, 4846, 24980, 529, 893, 7505, 26634, 6798, 311, 8952, 449, 264, 24740, 11102, 39448, 627, 20552, 34400, 6917, 315, 264, 4948, 3201, 3243, 304, 264, 2872, 369, 279, 304, 8627, 328, 9109, 1170, 24980, 574, 37837, 36219, 16357, 6832, 7318, 220, 717, 574, 264, 1176, 7340, 315, 279, 4901, 13, 578, 46881, 35068, 2751, 279, 1664, 16405, 2230, 18206, 5780, 1139, 2539, 14787, 449, 264, 13766, 287, 1522, 315, 279, 5105, 76802, 529, 12131, 52951, 304, 8798, 2380, 369, 264, 1176, 3201, 38226, 3243, 315, 279, 2489, 13, 7762, 11355, 11763, 279, 33294, 304, 279, 1828, 7102, 323, 1306, 3116, 77662, 18206, 97171, 555, 1120, 1403, 3585, 627, 2127, 653, 19740, 4633, 4498, 555, 18206, 10936, 716, 25459, 96620, 304, 8798, 4330, 2231, 682, 279, 12014, 315, 10494, 279, 4850, 1523, 311, 304, 8627, 16844, 31997, 1389, 279, 32639, 41761, 9192, 989, 719, 574, 927, 71, 75767, 555, 18063, 97084, 323, 82, 279, 13225, 574, 1457, 3116, 3585, 13, 13625, 6244, 4848, 27104, 315, 459, 44707, 3700, 2857, 323, 7553, 64, 1130, 88, 2009, 1247, 220, 19, 12, 17, 304, 8798, 4848, 323, 1070, 574, 4747, 430, 279, 328, 9109, 1170, 24980, 529, 3293, 66671, 13827, 1629, 1436, 387, 1234, 6023, 627, 791, 12920, 1051, 13967, 311, 387, 6656, 304, 2466, 1742, 304, 1403, 22520, 21234, 304, 77662, 220, 605, 612, 220, 806, 13, 19397, 9636, 220, 1691, 4435, 11098, 6917, 3700, 2857, 574, 66671, 13827, 520, 420, 1486, 719, 568, 34853, 704, 389, 279, 1176, 37920, 323, 279, 55302, 16450, 13, 650, 91674, 753, 5597, 574, 311, 834, 1788, 1463, 279, 60054, 529, 1396, 832, 1389, 1790, 311, 813, 8196, 85334, 4058, 13, 48693, 95940, 323, 36219, 16357, 12886, 264, 7340, 304, 279, 49647, 359, 311, 4546, 279, 24980, 2237, 369, 279, 1176, 892, 304, 279, 2489, 520, 220, 966, 12, 966, 627, 3112, 304, 8798, 220, 806, 15187, 433, 574, 279, 15613, 889, 5762, 264, 3116, 16983, 3063, 11, 439, 264, 2132, 50024, 220, 20, 12, 16, 574, 10434, 709, 555, 96620, 612, 31997, 13, 13596, 3243, 304, 8798, 220, 717, 555, 36219, 16357, 311, 4686, 813, 7318, 7340, 505, 813, 56168, 32327, 8272, 482, 719, 1070, 1051, 311, 387, 912, 810, 8308, 21234, 13, 763, 264, 8798, 220, 1032, 17033, 311, 387, 50136, 89544, 369, 279, 18939, 11, 3700, 2857, 323, 26634, 6798, 1047, 264, 49737, 34707, 5108, 3871, 9564, 279, 386, 1149, 359, 1122, 304, 24779, 17250, 13, 3296, 279, 892, 279, 51632, 5687, 1047, 21676, 12886, 279, 610, 9890, 26634, 6798, 1139, 872, 7458, 279, 2917, 71830, 1047, 1027, 8813, 323, 279, 220, 1958, 12, 1987, 5573, 304, 12617, 315, 279, 328, 9109, 1170, 24980, 14980, 13, 362, 3116, 16983, 9610, 505, 279, 3201, 2531, 374, 27498, 26735, 13118, 369, 11517, 27690, 753, 10405, 311, 1935, 1203, 311, 10913, 5657, 23462, 369, 279, 2132, 2531, 389, 6287, 220, 21, 339, 13, 1389, 3508, 279, 3451, 31716, 529, 2380, 77662, 323, 279, 3585, 902, 1436, 617, 11838, 320, 269, 11293, 8, 430, 3063, 374, 2555, 1193, 369, 87015, 554, 627, 791, 6469, 3708, 872, 1888, 25223, 311, 7505, 26634, 6798, 369, 264, 66583, 13654, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2520, 459, 24674, 11999, 892, 420, 3280, 304, 3116, 52610, 779, 3117, 1990, 1521, 1403, 11314, 11, 279, 1121, 5602, 912, 810, 1109, 3116, 3585, 50545, 18206, 323, 872, 18939, 389, 6740, 320, 1691, 14, 22, 8, 520, 72098, 627, 791, 38736, 574, 304, 279, 7872, 3582, 430, 420, 892, 433, 574, 279, 17136, 3185, 25270, 449, 430, 16996, 9610, 1389, 3582, 44145, 279, 2489, 1047, 311, 387, 4018, 2875, 449, 2380, 77662, 539, 311, 387, 57310, 1306, 459, 34707, 8798, 220, 1032, 10121, 6197, 311, 279, 51632, 3515, 311, 1935, 610, 9890, 4846, 24980, 529, 893, 7505, 26634, 6798, 311, 8952, 449, 264, 24740, 11102, 39448, 627, 20552, 34400, 6917, 315, 264, 4948, 3201, 3243, 304, 264, 2872, 369, 279, 304, 8627, 328, 9109, 1170, 24980, 574, 37837, 36219, 16357, 6832, 7318, 220, 717, 574, 264, 1176, 7340, 315, 279, 4901, 13, 578, 46881, 35068, 2751, 279, 1664, 16405, 2230, 18206, 5780, 1139, 2539, 14787, 449, 264, 13766, 287, 1522, 315, 279, 5105, 76802, 529, 12131, 52951, 304, 8798, 2380, 369, 264, 1176, 3201, 38226, 3243, 315, 279, 2489, 13, 7762, 11355, 11763, 279, 33294, 304, 279, 1828, 7102, 323, 1306, 3116, 77662, 18206, 97171, 555, 1120, 1403, 3585, 627, 2127, 653, 19740, 4633, 4498, 555, 18206, 10936, 716, 25459, 96620, 304, 8798, 4330, 2231, 682, 279, 12014, 315, 10494, 279, 4850, 1523, 311, 304, 8627, 16844, 31997, 1389, 279, 32639, 41761, 9192, 989, 719, 574, 927, 71, 75767, 555, 18063, 97084, 323, 82, 279, 13225, 574, 1457, 3116, 3585, 13, 13625, 6244, 4848, 27104, 315, 459, 44707, 3700, 2857, 323, 7553, 64, 1130, 88, 2009, 1247, 220, 19, 12, 17, 304, 8798, 4848, 323, 1070, 574, 4747, 430, 279, 328, 9109, 1170, 24980, 529, 3293, 66671, 13827, 1629, 1436, 387, 1234, 6023, 627, 791, 12920, 1051, 13967, 311, 387, 6656, 304, 2466, 1742, 304, 1403, 22520, 21234, 304, 77662, 220, 605, 612, 220, 806, 13, 19397, 9636, 220, 1691, 4435, 11098, 6917, 3700, 2857, 574, 66671, 13827, 520, 420, 1486, 719, 568, 34853, 704, 389, 279, 1176, 37920, 323, 279, 55302, 16450, 13, 650, 91674, 753, 5597, 574, 311, 834, 1788, 1463, 279, 60054, 529, 1396, 832, 1389, 1790, 311, 813, 8196, 85334, 4058, 13, 48693, 95940, 323, 36219, 16357, 12886, 264, 7340, 304, 279, 49647, 359, 311, 4546, 279, 24980, 2237, 369, 279, 1176, 892, 304, 279, 2489, 520, 220, 966, 12, 966, 627, 3112, 304, 8798, 220, 806, 15187, 433, 574, 279, 15613, 889, 5762, 264, 3116, 16983, 3063, 11, 439, 264, 2132, 50024, 220, 20, 12, 16, 574, 10434, 709, 555, 96620, 612, 31997, 13, 13596, 3243, 304, 8798, 220, 717, 555, 36219, 16357, 311, 4686, 813, 7318, 7340, 505, 813, 56168, 32327, 8272, 482, 719, 1070, 1051, 311, 387, 912, 810, 8308, 21234, 13, 763, 264, 8798, 220, 1032, 17033, 311, 387, 50136, 89544, 369, 279, 18939, 11, 3700, 2857, 323, 26634, 6798, 1047, 264, 49737, 34707, 5108, 3871, 9564, 279, 386, 1149, 359, 1122, 304, 24779, 17250, 13, 3296, 279, 892, 279, 51632, 5687, 1047, 21676, 12886, 279, 610, 9890, 26634, 6798, 1139, 872, 7458, 279, 2917, 71830, 1047, 1027, 8813, 323, 279, 220, 1958, 12, 1987, 5573, 304, 12617, 315, 279, 328, 9109, 1170, 24980, 14980, 13, 362, 3116, 16983, 9610, 505, 279, 3201, 2531, 374, 27498, 26735, 13118, 369, 11517, 27690, 753, 10405, 311, 1935, 1203, 311, 10913, 5657, 23462, 369, 279, 2132, 2531, 389, 6287, 220, 21, 339, 13, 1389, 3508, 279, 3451, 31716, 529, 2380, 77662, 323, 279, 3585, 902, 1436, 617, 11838, 320, 269, 11293, 8, 430, 3063, 374, 2555, 1193, 369, 87015, 554, 627, 791, 6469, 3708, 872, 1888, 25223, 311, 7505, 26634, 6798, 369, 264, 66583, 13654, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 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
[ 128000, 11787, 499, 11961, 45769, 662, 662, 662, 5112, 358, 4805, 3240, 662, 662, 16853, 46237, 358, 3782, 4028, 420, 3678, 73312, 788, 12745, 4632, 11, 2231, 3871, 555, 11519, 2893, 301, 11, 40880, 279, 28361, 315, 51129, 304, 323, 2212, 921, 12333, 3751, 63107, 2391, 279, 220, 6280, 15, 753, 505, 469, 1026, 20069, 627, 2028, 374, 264, 1427, 520, 67542, 8671, 6469, 51129, 304, 13527, 1389, 1664, 279, 4987, 315, 9635, 1389, 304, 279, 435, 2130, 552, 994, 67542, 8671, 51129, 574, 1120, 922, 311, 16135, 627, 16397, 420, 4261, 323, 279, 1555, 279, 4848, 29646, 9214, 315, 22019, 67542, 71, 552, 1051, 5918, 11, 6721, 323, 19077, 11, 1690, 315, 902, 527, 1457, 1694, 28101, 439, 279, 65875, 26595, 292, 67542, 8671, 7351, 86781, 18338, 627, 2181, 374, 1101, 264, 892, 1824, 2690, 1130, 315, 264, 555, 46696, 11639, 11, 994, 67542, 8671, 51129, 323, 22019, 5992, 1778, 2523, 11, 912, 3361, 17895, 2631, 320, 438, 1633, 2478, 2324, 73, 18889, 8, 662, 662, 662, 14910, 912, 832, 2733, 279, 9439, 11, 477, 574, 433, 2744, 264, 40798, 1938, 5380, 42298, 77066, 62000, 11, 622, 8788, 95458, 11, 5165, 220, 972, 82, 323, 6785, 55019, 1389, 2737, 832, 1511, 520, 279, 220, 6393, 23, 33063, 1389, 23162, 220, 17786, 82, 2085, 490, 2070, 3059, 323, 449, 24428, 86105, 11, 264, 52348, 1511, 369, 279, 6041, 17738, 59162, 32, 2294, 3568, 315, 7872, 439, 311, 15688, 5219, 11, 5144, 323, 889, 25241, 1148, 2737, 5222, 706, 1027, 3779, 627, 32, 2294, 2766, 315, 3925, 17439, 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 ]
[ 128000, 11787, 499, 11961, 45769, 662, 662, 662, 5112, 358, 4805, 3240, 662, 662, 16853, 46237, 358, 3782, 4028, 420, 3678, 73312, 788, 12745, 4632, 11, 2231, 3871, 555, 11519, 2893, 301, 11, 40880, 279, 28361, 315, 51129, 304, 323, 2212, 921, 12333, 3751, 63107, 2391, 279, 220, 6280, 15, 753, 505, 469, 1026, 20069, 627, 2028, 374, 264, 1427, 520, 67542, 8671, 6469, 51129, 304, 13527, 1389, 1664, 279, 4987, 315, 9635, 1389, 304, 279, 435, 2130, 552, 994, 67542, 8671, 51129, 574, 1120, 922, 311, 16135, 627, 16397, 420, 4261, 323, 279, 1555, 279, 4848, 29646, 9214, 315, 22019, 67542, 71, 552, 1051, 5918, 11, 6721, 323, 19077, 11, 1690, 315, 902, 527, 1457, 1694, 28101, 439, 279, 65875, 26595, 292, 67542, 8671, 7351, 86781, 18338, 627, 2181, 374, 1101, 264, 892, 1824, 2690, 1130, 315, 264, 555, 46696, 11639, 11, 994, 67542, 8671, 51129, 323, 22019, 5992, 1778, 2523, 11, 912, 3361, 17895, 2631, 320, 438, 1633, 2478, 2324, 73, 18889, 8, 662, 662, 662, 14910, 912, 832, 2733, 279, 9439, 11, 477, 574, 433, 2744, 264, 40798, 1938, 5380, 42298, 77066, 62000, 11, 622, 8788, 95458, 11, 5165, 220, 972, 82, 323, 6785, 55019, 1389, 2737, 832, 1511, 520, 279, 220, 6393, 23, 33063, 1389, 23162, 220, 17786, 82, 2085, 490, 2070, 3059, 323, 449, 24428, 86105, 11, 264, 52348, 1511, 369, 279, 6041, 17738, 59162, 32, 2294, 3568, 315, 7872, 439, 311, 15688, 5219, 11, 5144, 323, 889, 25241, 1148, 2737, 5222, 706, 1027, 3779, 627, 32, 2294, 2766, 315, 3925, 17439, 4999, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258 ]
259
[ 128000, 32, 4101, 315, 11625, 12708, 48539, 811, 369, 279, 502, 7520, 31389, 14434, 9601, 6462, 11, 44224, 1555, 5783, 13781, 13, 2435, 4934, 279, 50119, 311, 2733, 11919, 11, 45955, 323, 62182, 13, 358, 4934, 279, 50119, 311, 617, 264, 5647, 315, 30126, 323, 12706, 2533, 279, 2027, 374, 922, 13353, 389, 323, 1022, 2574, 505, 701, 6505, 3756, 13, 358, 3779, 14553, 323, 34782, 311, 279, 19567, 311, 95263, 4333, 49958, 323, 4907, 627, 791, 1176, 10571, 304, 1855, 4101, 374, 279, 832, 430, 574, 10666, 311, 279, 3016, 627, 37708, 198, 10618, 198, 34, 6641, 14813, 198, 3032, 25, 5783, 13781, 369, 7520, 31389, 198, 9470, 10783, 25, 20585, 13566, 198, 46108, 25, 23225, 31245, 5294, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 32, 4101, 315, 11625, 12708, 48539, 811, 369, 279, 502, 7520, 31389, 14434, 9601, 6462, 11, 44224, 1555, 5783, 13781, 13, 2435, 4934, 279, 50119, 311, 2733, 11919, 11, 45955, 323, 62182, 13, 358, 4934, 279, 50119, 311, 617, 264, 5647, 315, 30126, 323, 12706, 2533, 279, 2027, 374, 922, 13353, 389, 323, 1022, 2574, 505, 701, 6505, 3756, 13, 358, 3779, 14553, 323, 34782, 311, 279, 19567, 311, 95263, 4333, 49958, 323, 4907, 627, 791, 1176, 10571, 304, 1855, 4101, 374, 279, 832, 430, 574, 10666, 311, 279, 3016, 627, 37708, 198, 10618, 198, 34, 6641, 14813, 198, 3032, 25, 5783, 13781, 369, 7520, 31389, 198, 9470, 10783, 25, 20585, 13566, 198, 46108, 25, 23225, 31245, 5294, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ]
120
[ 128000, 9642, 11, 719, 279, 23369, 26391, 369, 1314, 289, 14437, 374, 12401, 311, 279, 91536, 4717, 1109, 279, 57125, 4717, 11, 323, 279, 23369, 26391, 369, 2163, 289, 14437, 374, 12401, 311, 279, 26623, 4717, 1109, 93134, 13, 1442, 279, 23369, 26391, 389, 279, 1314, 30073, 3201, 505, 279, 35544, 598, 323, 7119, 279, 22848, 30627, 11, 279, 57125, 4717, 1053, 3719, 279, 25462, 1314, 20611, 4717, 477, 279, 91536, 4717, 1053, 11142, 279, 2819, 315, 279, 57125, 4717, 13, 21663, 832, 382, 4516, 279, 23369, 26391, 369, 2225, 279, 2163, 323, 1314, 20611, 527, 12401, 311, 279, 4717, 430, 45777, 4861, 1023, 2574, 927, 2678, 3109, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 9642, 11, 719, 279, 23369, 26391, 369, 1314, 289, 14437, 374, 12401, 311, 279, 91536, 4717, 1109, 279, 57125, 4717, 11, 323, 279, 23369, 26391, 369, 2163, 289, 14437, 374, 12401, 311, 279, 26623, 4717, 1109, 93134, 13, 1442, 279, 23369, 26391, 389, 279, 1314, 30073, 3201, 505, 279, 35544, 598, 323, 7119, 279, 22848, 30627, 11, 279, 57125, 4717, 1053, 3719, 279, 25462, 1314, 20611, 4717, 477, 279, 91536, 4717, 1053, 11142, 279, 2819, 315, 279, 57125, 4717, 13, 21663, 832, 382, 4516, 279, 23369, 26391, 369, 2225, 279, 2163, 323, 1314, 20611, 527, 12401, 311, 279, 4717, 430, 45777, 4861, 1023, 2574, 927, 2678, 3109, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109 ]
110
[ 128000, 2341, 322, 4388, 555, 597, 40366, 389, 220, 972, 12, 806, 12, 1313, 627, 6454, 1085, 366, 9862, 397, 1085, 366, 928, 397, 1085, 366, 3295, 1363, 396, 1925, 368, 341, 220, 1487, 487, 3295, 8210, 487, 928, 29, 6296, 280, 220, 1487, 487, 928, 274, 401, 220, 1418, 320, 1872, 487, 18595, 3662, 274, 8, 341, 262, 6296, 2615, 3982, 1161, 317, 220, 457, 534, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2341, 322, 4388, 555, 597, 40366, 389, 220, 972, 12, 806, 12, 1313, 627, 6454, 1085, 366, 9862, 397, 1085, 366, 928, 397, 1085, 366, 3295, 1363, 396, 1925, 368, 341, 220, 1487, 487, 3295, 8210, 487, 928, 29, 6296, 280, 220, 1487, 487, 928, 274, 401, 220, 1418, 320, 1872, 487, 18595, 3662, 274, 8, 341, 262, 6296, 2615, 3982, 1161, 317, 220, 457, 534, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67 ]
68
[ 128000, 1688, 3061, 2866, 54, 6181, 916, 11, 584, 3085, 2294, 32162, 311, 682, 1057, 6444, 389, 3341, 3963, 300, 11213, 59620, 13, 8267, 22615, 315, 3341, 3963, 300, 706, 539, 1193, 3719, 35388, 719, 1101, 4228, 389, 279, 30278, 11, 9523, 311, 279, 5370, 32162, 13, 1472, 649, 1505, 2294, 11336, 389, 11213, 14741, 315, 3341, 3963, 300, 1555, 603, 323, 1935, 7340, 9610, 315, 1521, 32162, 555, 4737, 439, 1690, 23277, 439, 3284, 13, 578, 11336, 11213, 14741, 311, 3341, 3963, 300, 527, 9076, 389, 1455, 315, 279, 13018, 323, 6625, 25952, 13, 1115, 20682, 279, 40386, 311, 1304, 6787, 369, 3341, 3963, 300, 2085, 40876, 922, 279, 9284, 323, 279, 7194, 5938, 449, 1124, 13, 578, 6444, 649, 5268, 279, 11213, 12541, 311, 387, 904, 3813, 304, 279, 3224, 1093, 32749, 354, 477, 13416, 72, 13, 578, 11213, 14741, 11336, 389, 3341, 3963, 300, 649, 387, 1860, 5805, 555, 904, 6130, 11, 76653, 315, 279, 4325, 11, 10026, 477, 3813, 13, 578, 74665, 1732, 304, 279, 3070, 1523, 311, 279, 31383, 11, 16470, 649, 18813, 4774, 279, 5370, 32162, 389, 3341, 3963, 300, 430, 527, 264, 961, 315, 3061, 2866, 54, 6181, 916, 13, 1102, 1288, 387, 10555, 430, 539, 682, 3341, 3963, 300, 12789, 477, 32162, 690, 387, 279, 1890, 1475, 3254, 892, 13, 2435, 2643, 2349, 3196, 389, 279, 48458, 477, 13402, 11, 719, 387, 2800, 28478, 430, 1070, 690, 2744, 387, 32162, 389, 11213, 14741, 311, 3341, 3963, 300, 13, 2100, 11, 433, 3250, 956, 5030, 422, 279, 10585, 596, 7474, 75667, 527, 389, 477, 264, 13726, 20769, 374, 1694, 65262, 2391, 279, 38102, 11, 499, 690, 2744, 1505, 2294, 32162, 389, 5370, 25952, 311, 3341, 3963, 300, 13, 578, 1749, 311, 39011, 1521, 32162, 389, 3341, 3963, 300, 14741, 527, 1633, 4382, 323, 1587, 539, 1397, 57216, 323, 17395, 7504, 13, 42812, 1555, 682, 279, 12789, 389, 3341, 3963, 300, 430, 527, 2561, 11, 9616, 279, 32162, 11, 5268, 279, 832, 430, 374, 1888, 32599, 369, 499, 323, 3373, 279, 11336, 389, 279, 3997, 13, 6017, 279, 14741, 315, 3341, 3963, 300, 1555, 279, 12146, 11336, 13, 578, 1920, 374, 779, 4382, 430, 5606, 649, 656, 433, 6847, 13, 578, 3341, 3963, 300, 11213, 22615, 11336, 1253, 13592, 505, 892, 311, 892, 13, 7357, 11336, 389, 3341, 3963, 300, 11213, 22615, 690, 387, 1903, 449, 459, 9395, 315, 3339, 701, 8063, 20769, 264, 8903, 13, 578, 3341, 3963, 300, 3805, 14741, 6209, 690, 2744, 387, 264, 961, 315, 3061, 2866, 54, 6181, 916, 323, 584, 15253, 279, 6444, 311, 1304, 7340, 1005, 315, 1521, 8056, 32162, 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 ]
[ 128000, 1688, 3061, 2866, 54, 6181, 916, 11, 584, 3085, 2294, 32162, 311, 682, 1057, 6444, 389, 3341, 3963, 300, 11213, 59620, 13, 8267, 22615, 315, 3341, 3963, 300, 706, 539, 1193, 3719, 35388, 719, 1101, 4228, 389, 279, 30278, 11, 9523, 311, 279, 5370, 32162, 13, 1472, 649, 1505, 2294, 11336, 389, 11213, 14741, 315, 3341, 3963, 300, 1555, 603, 323, 1935, 7340, 9610, 315, 1521, 32162, 555, 4737, 439, 1690, 23277, 439, 3284, 13, 578, 11336, 11213, 14741, 311, 3341, 3963, 300, 527, 9076, 389, 1455, 315, 279, 13018, 323, 6625, 25952, 13, 1115, 20682, 279, 40386, 311, 1304, 6787, 369, 3341, 3963, 300, 2085, 40876, 922, 279, 9284, 323, 279, 7194, 5938, 449, 1124, 13, 578, 6444, 649, 5268, 279, 11213, 12541, 311, 387, 904, 3813, 304, 279, 3224, 1093, 32749, 354, 477, 13416, 72, 13, 578, 11213, 14741, 11336, 389, 3341, 3963, 300, 649, 387, 1860, 5805, 555, 904, 6130, 11, 76653, 315, 279, 4325, 11, 10026, 477, 3813, 13, 578, 74665, 1732, 304, 279, 3070, 1523, 311, 279, 31383, 11, 16470, 649, 18813, 4774, 279, 5370, 32162, 389, 3341, 3963, 300, 430, 527, 264, 961, 315, 3061, 2866, 54, 6181, 916, 13, 1102, 1288, 387, 10555, 430, 539, 682, 3341, 3963, 300, 12789, 477, 32162, 690, 387, 279, 1890, 1475, 3254, 892, 13, 2435, 2643, 2349, 3196, 389, 279, 48458, 477, 13402, 11, 719, 387, 2800, 28478, 430, 1070, 690, 2744, 387, 32162, 389, 11213, 14741, 311, 3341, 3963, 300, 13, 2100, 11, 433, 3250, 956, 5030, 422, 279, 10585, 596, 7474, 75667, 527, 389, 477, 264, 13726, 20769, 374, 1694, 65262, 2391, 279, 38102, 11, 499, 690, 2744, 1505, 2294, 32162, 389, 5370, 25952, 311, 3341, 3963, 300, 13, 578, 1749, 311, 39011, 1521, 32162, 389, 3341, 3963, 300, 14741, 527, 1633, 4382, 323, 1587, 539, 1397, 57216, 323, 17395, 7504, 13, 42812, 1555, 682, 279, 12789, 389, 3341, 3963, 300, 430, 527, 2561, 11, 9616, 279, 32162, 11, 5268, 279, 832, 430, 374, 1888, 32599, 369, 499, 323, 3373, 279, 11336, 389, 279, 3997, 13, 6017, 279, 14741, 315, 3341, 3963, 300, 1555, 279, 12146, 11336, 13, 578, 1920, 374, 779, 4382, 430, 5606, 649, 656, 433, 6847, 13, 578, 3341, 3963, 300, 11213, 22615, 11336, 1253, 13592, 505, 892, 311, 892, 13, 7357, 11336, 389, 3341, 3963, 300, 11213, 22615, 690, 387, 1903, 449, 459, 9395, 315, 3339, 701, 8063, 20769, 264, 8903, 13, 578, 3341, 3963, 300, 3805, 14741, 6209, 690, 2744, 387, 264, 961, 315, 3061, 2866, 54, 6181, 916, 323, 584, 15253, 279, 6444, 311, 1304, 7340, 1005, 315, 1521, 8056, 32162, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434 ]
435
[ 128000, 40, 617, 264, 6896, 10334, 430, 4212, 10425, 11341, 374, 1063, 3460, 315, 13042, 3412, 2017, 11, 323, 814, 1541, 956, 3604, 1427, 1093, 430, 14926, 13, 10926, 814, 2351, 264, 2766, 1093, 279, 10995, 5493, 505, 4015, 69761, 3204, 11, 719, 449, 810, 74106, 30116, 17357, 382, 13699, 11, 358, 3077, 2646, 1027, 1633, 2867, 3508, 353, 543, 9, 25919, 333, 8233, 598, 617, 1521, 16682, 18000, 11, 477, 433, 596, 1120, 279, 4212, 57148, 11, 889, 2873, 311, 387, 1063, 3460, 315, 25919, 333, 8233, 276, 64838, 46360, 13, 10926, 4725, 25919, 333, 8233, 598, 527, 279, 49446, 315, 445, 8512, 3695, 889, 3287, 956, 1390, 27555, 49806, 811, 11, 323, 279, 4212, 57148, 527, 872, 2373, 315, 1772, 28400, 598, 11, 323, 1193, 814, 649, 656, 2574, 1093, 80551, 323, 1148, 539, 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 ]
[ 128000, 40, 617, 264, 6896, 10334, 430, 4212, 10425, 11341, 374, 1063, 3460, 315, 13042, 3412, 2017, 11, 323, 814, 1541, 956, 3604, 1427, 1093, 430, 14926, 13, 10926, 814, 2351, 264, 2766, 1093, 279, 10995, 5493, 505, 4015, 69761, 3204, 11, 719, 449, 810, 74106, 30116, 17357, 382, 13699, 11, 358, 3077, 2646, 1027, 1633, 2867, 3508, 353, 543, 9, 25919, 333, 8233, 598, 617, 1521, 16682, 18000, 11, 477, 433, 596, 1120, 279, 4212, 57148, 11, 889, 2873, 311, 387, 1063, 3460, 315, 25919, 333, 8233, 276, 64838, 46360, 13, 10926, 4725, 25919, 333, 8233, 598, 527, 279, 49446, 315, 445, 8512, 3695, 889, 3287, 956, 1390, 27555, 49806, 811, 11, 323, 279, 4212, 57148, 527, 872, 2373, 315, 1772, 28400, 598, 11, 323, 1193, 814, 649, 656, 2574, 1093, 80551, 323, 1148, 539, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137 ]
138
[ 128000, 2028, 374, 1120, 832, 315, 279, 49592, 84610, 902, 706, 3970, 264, 3907, 315, 6460, 7568, 24235, 5575, 7086, 279, 47685, 7553, 60762, 26211, 17236, 596, 220, 679, 23, 26202, 315, 279, 1060, 627, 49, 12252, 574, 12020, 369, 30883, 856, 301, 590, 96306, 439, 264, 1716, 520, 61125, 15394, 596, 15429, 323, 11, 304, 220, 1049, 24, 20330, 220, 1032, 11, 18677, 1077, 1176, 7095, 51129, 8577, 389, 279, 55365, 315, 468, 492, 627, 2028, 7474, 17738, 47930, 596, 220, 605, 339, 22310, 449, 279, 7095, 11, 323, 1364, 690, 1906, 433, 555, 70438, 389, 1403, 23277, 11, 2737, 279, 7095, 596, 1176, 20658, 2046, 520, 279, 49793, 8350, 14821, 304, 11514, 15989, 627, 49, 12252, 11, 889, 374, 21630, 369, 264, 36467, 304, 6625, 4868, 520, 549, 19657, 11, 16584, 1694, 364, 1225, 11, 1633, 14792, 6, 311, 5371, 420, 1060, 596, 10292, 627, 8100, 1071, 25, 364, 791, 7095, 6688, 757, 279, 12410, 311, 656, 2574, 555, 7182, 323, 4510, 433, 690, 387, 17339, 13, 578, 757, 389, 856, 1176, 8577, 8659, 8434, 956, 44917, 757, 1457, 13, 358, 574, 1633, 11594, 323, 10390, 17627, 819, 323, 358, 3287, 956, 1440, 889, 358, 1288, 387, 27890, 449, 13, 358, 4265, 7543, 779, 1317, 449, 12884, 304, 8952, 358, 5828, 956, 2771, 3249, 358, 1288, 15020, 2212, 449, 1023, 1274, 856, 4325, 627, 6, 1688, 14580, 2978, 11, 358, 8434, 956, 733, 311, 9875, 439, 358, 574, 2216, 23418, 922, 1694, 2212, 430, 1690, 1274, 323, 279, 43257, 1903, 433, 2288, 46883, 11, 20444, 1457, 358, 649, 656, 433, 13, 358, 3077, 8208, 311, 12374, 3116, 323, 264, 4376, 4207, 3201, 505, 2162, 304, 264, 6883, 502, 3363, 449, 6883, 502, 1274, 323, 358, 3077, 6982, 358, 649, 1304, 264, 733, 315, 433, 323, 4774, 433, 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 ]
[ 128000, 2028, 374, 1120, 832, 315, 279, 49592, 84610, 902, 706, 3970, 264, 3907, 315, 6460, 7568, 24235, 5575, 7086, 279, 47685, 7553, 60762, 26211, 17236, 596, 220, 679, 23, 26202, 315, 279, 1060, 627, 49, 12252, 574, 12020, 369, 30883, 856, 301, 590, 96306, 439, 264, 1716, 520, 61125, 15394, 596, 15429, 323, 11, 304, 220, 1049, 24, 20330, 220, 1032, 11, 18677, 1077, 1176, 7095, 51129, 8577, 389, 279, 55365, 315, 468, 492, 627, 2028, 7474, 17738, 47930, 596, 220, 605, 339, 22310, 449, 279, 7095, 11, 323, 1364, 690, 1906, 433, 555, 70438, 389, 1403, 23277, 11, 2737, 279, 7095, 596, 1176, 20658, 2046, 520, 279, 49793, 8350, 14821, 304, 11514, 15989, 627, 49, 12252, 11, 889, 374, 21630, 369, 264, 36467, 304, 6625, 4868, 520, 549, 19657, 11, 16584, 1694, 364, 1225, 11, 1633, 14792, 6, 311, 5371, 420, 1060, 596, 10292, 627, 8100, 1071, 25, 364, 791, 7095, 6688, 757, 279, 12410, 311, 656, 2574, 555, 7182, 323, 4510, 433, 690, 387, 17339, 13, 578, 757, 389, 856, 1176, 8577, 8659, 8434, 956, 44917, 757, 1457, 13, 358, 574, 1633, 11594, 323, 10390, 17627, 819, 323, 358, 3287, 956, 1440, 889, 358, 1288, 387, 27890, 449, 13, 358, 4265, 7543, 779, 1317, 449, 12884, 304, 8952, 358, 5828, 956, 2771, 3249, 358, 1288, 15020, 2212, 449, 1023, 1274, 856, 4325, 627, 6, 1688, 14580, 2978, 11, 358, 8434, 956, 733, 311, 9875, 439, 358, 574, 2216, 23418, 922, 1694, 2212, 430, 1690, 1274, 323, 279, 43257, 1903, 433, 2288, 46883, 11, 20444, 1457, 358, 649, 656, 433, 13, 358, 3077, 8208, 311, 12374, 3116, 323, 264, 4376, 4207, 3201, 505, 2162, 304, 264, 6883, 502, 3363, 449, 6883, 502, 1274, 323, 358, 3077, 6982, 358, 649, 1304, 264, 733, 315, 433, 323, 4774, 433, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300 ]
301
[ 128000, 2028, 2199, 574, 17124, 505, 1795, 1129, 2185, 522, 3714, 3258, 10348, 916, 14, 700, 288, 29466, 1626, 92775, 69205, 2427, 19632, 25700, 29745, 2922, 20087, 12934, 52286, 4791, 10397, 3757, 12196, 19545, 8604, 522, 3714, 3258, 10348, 916, 369, 810, 2038, 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 ]
[ 128000, 2028, 2199, 574, 17124, 505, 1795, 1129, 2185, 522, 3714, 3258, 10348, 916, 14, 700, 288, 29466, 1626, 92775, 69205, 2427, 19632, 25700, 29745, 2922, 20087, 12934, 52286, 4791, 10397, 3757, 12196, 19545, 8604, 522, 3714, 3258, 10348, 916, 369, 810, 2038, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44 ]
45
[ 128000, 4516, 358, 1518, 1148, 499, 527, 5605, 719, 856, 4360, 574, 279, 1917, 3287, 1431, 2733, 17808, 520, 682, 11, 902, 574, 810, 856, 3575, 13, 1472, 527, 304, 459, 1825, 1917, 430, 2216, 3250, 1431, 2733, 433, 13, 578, 1917, 6612, 17235, 75826, 11, 902, 358, 1440, 1023, 3953, 617, 1131, 719, 499, 733, 505, 6724, 2204, 4595, 315, 22484, 304, 264, 2478, 4520, 315, 1701, 264, 6606, 13, 578, 29135, 11, 6732, 449, 279, 12933, 11, 279, 26470, 1131, 433, 682, 6612, 779, 1450, 9277, 13, 19124, 22105, 433, 753, 2653, 369, 757, 311, 10552, 11, 719, 358, 1120, 6612, 430, 1648, 5737, 433, 13, 220, 16299, 374, 10535, 311, 2019, 2728, 279, 3446, 2317, 719, 433, 753, 1268, 358, 6612, 24919, 433, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 4516, 358, 1518, 1148, 499, 527, 5605, 719, 856, 4360, 574, 279, 1917, 3287, 1431, 2733, 17808, 520, 682, 11, 902, 574, 810, 856, 3575, 13, 1472, 527, 304, 459, 1825, 1917, 430, 2216, 3250, 1431, 2733, 433, 13, 578, 1917, 6612, 17235, 75826, 11, 902, 358, 1440, 1023, 3953, 617, 1131, 719, 499, 733, 505, 6724, 2204, 4595, 315, 22484, 304, 264, 2478, 4520, 315, 1701, 264, 6606, 13, 578, 29135, 11, 6732, 449, 279, 12933, 11, 279, 26470, 1131, 433, 682, 6612, 779, 1450, 9277, 13, 19124, 22105, 433, 753, 2653, 369, 757, 311, 10552, 11, 719, 358, 1120, 6612, 430, 1648, 5737, 433, 13, 220, 16299, 374, 10535, 311, 2019, 2728, 279, 3446, 2317, 719, 433, 753, 1268, 358, 6612, 24919, 433, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127 ]
128
[ 128000, 33, 283, 91691, 198, 2257, 27970, 596, 6187, 31054, 91691, 198, 9673, 527, 279, 864, 25063, 30870, 91691, 584, 3085, 369, 39869, 596, 6187, 512, 81663, 17160, 25, 435, 94880, 87922, 29015, 80199, 7708, 42, 50309, 4276, 49271, 3247, 393, 70461, 11, 70188, 16202, 48204, 34735, 87922, 46372, 946, 94418, 1507, 627, 2675, 1253, 1304, 264, 1715, 369, 264, 3230, 1933, 1161, 8, 994, 499, 5266, 701, 2015, 627, 52141, 25, 400, 24, 20037, 14, 400, 868, 449, 264, 93484, 198, 32, 4382, 11, 11670, 27204, 449, 220, 16, 16392, 449, 220, 17, 453, 35155, 50929, 627, 4438, 27687, 25, 400, 1114, 20037, 14, 400, 1419, 449, 264, 93484, 198, 791, 2650, 27687, 374, 1903, 709, 315, 220, 18, 61741, 323, 220, 17, 5708, 13, 1102, 596, 459, 18088, 43143, 39869, 596, 6187, 7075, 627, 5159, 11617, 25, 400, 972, 20037, 14, 400, 1187, 449, 93484, 198, 2028, 374, 264, 11670, 27204, 315, 220, 20, 17684, 655, 294, 22626, 4999, 5159, 65465, 25, 400, 972, 20037, 14, 400, 1187, 449, 264, 93484, 198, 20, 1650, 64, 326, 7751, 311, 2489, 1268, 17104, 701, 3361, 4423, 374, 4999, 7456, 1472, 25, 400, 1313, 20037, 14, 400, 1591, 449, 264, 93484, 198, 2028, 27204, 706, 220, 18, 326, 7751, 323, 220, 16, 45705, 853, 64, 627, 32346, 58639, 25, 400, 1313, 20037, 14, 400, 1591, 449, 264, 93484, 198, 791, 25619, 58639, 374, 459, 27204, 315, 220, 18, 39438, 811, 11, 220, 17, 30584, 294, 2852, 552, 11, 220, 18, 23749, 61741, 11, 323, 220, 17, 35454, 296, 6370, 13, 4718, 4018, 648, 4447, 374, 2771, 311, 1781, 433, 374, 1120, 2288, 19369, 4999, 4516, 31253, 25, 400, 1419, 20037, 14, 400, 1682, 449, 264, 93484, 198, 791, 2100, 31253, 374, 40056, 315, 220, 23, 43316, 3153, 323, 37123, 39853, 13, 12334, 2795, 11, 330, 19182, 3828, 11, 499, 779, 7060, 1, 1093, 62036, 3153, 323, 37123, 39853, 627, 33, 6985, 25, 400, 1627, 20037, 14, 400, 843, 449, 264, 93484, 198, 34, 23332, 55600, 0, 1115, 27204, 706, 220, 18, 1650, 64, 326, 7751, 323, 220, 18, 41245, 3447, 430, 527, 6366, 439, 701, 10456, 832, 627, 2460, 31783, 25, 400, 1591, 20037, 14, 400, 1958, 449, 264, 93484, 198, 2028, 92713, 374, 1903, 709, 315, 220, 975, 39438, 811, 323, 220, 19, 61741, 13, 1102, 596, 264, 2763, 315, 26518, 369, 701, 22786, 311, 1304, 2771, 430, 4423, 8964, 814, 527, 682, 18821, 4999, 3513, 31783, 25, 400, 843, 20037, 14, 400, 1987, 449, 264, 93484, 198, 2028, 374, 459, 27204, 315, 220, 18, 326, 7751, 323, 220, 21, 453, 35155, 50929, 13, 2435, 690, 1455, 7995, 1390, 311, 387, 18821, 1306, 12588, 420, 92713, 627, 40, 2846, 98018, 25, 400, 843, 20037, 14, 400, 1987, 449, 264, 93484, 198, 791, 358, 2846, 98018, 706, 220, 17, 326, 7751, 11, 220, 18, 453, 35155, 50929, 11, 220, 18, 17684, 655, 294, 2852, 552, 11, 323, 220, 16, 35454, 39959, 13, 1102, 596, 264, 7155, 92713, 369, 264, 7155, 15730, 627, 91661, 25, 400, 1272, 20037, 14, 400, 2790, 449, 264, 93484, 198, 791, 55706, 374, 40056, 315, 220, 21, 61741, 323, 220, 23, 453, 35155, 50929, 13, 69721, 420, 92713, 374, 832, 3094, 7119, 3339, 433, 1566, 16058, 449, 430, 3361, 4423, 627, 16, 3234, 5797, 81470, 25, 400, 1272, 20037, 14, 400, 2790, 449, 264, 93484, 198, 32, 39869, 596, 1938, 11670, 26, 264, 21030, 7878, 61741, 304, 2579, 11, 18718, 11, 477, 4251, 374, 279, 4832, 1648, 311, 3237, 701, 3021, 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 ]
[ 128000, 33, 283, 91691, 198, 2257, 27970, 596, 6187, 31054, 91691, 198, 9673, 527, 279, 864, 25063, 30870, 91691, 584, 3085, 369, 39869, 596, 6187, 512, 81663, 17160, 25, 435, 94880, 87922, 29015, 80199, 7708, 42, 50309, 4276, 49271, 3247, 393, 70461, 11, 70188, 16202, 48204, 34735, 87922, 46372, 946, 94418, 1507, 627, 2675, 1253, 1304, 264, 1715, 369, 264, 3230, 1933, 1161, 8, 994, 499, 5266, 701, 2015, 627, 52141, 25, 400, 24, 20037, 14, 400, 868, 449, 264, 93484, 198, 32, 4382, 11, 11670, 27204, 449, 220, 16, 16392, 449, 220, 17, 453, 35155, 50929, 627, 4438, 27687, 25, 400, 1114, 20037, 14, 400, 1419, 449, 264, 93484, 198, 791, 2650, 27687, 374, 1903, 709, 315, 220, 18, 61741, 323, 220, 17, 5708, 13, 1102, 596, 459, 18088, 43143, 39869, 596, 6187, 7075, 627, 5159, 11617, 25, 400, 972, 20037, 14, 400, 1187, 449, 93484, 198, 2028, 374, 264, 11670, 27204, 315, 220, 20, 17684, 655, 294, 22626, 4999, 5159, 65465, 25, 400, 972, 20037, 14, 400, 1187, 449, 264, 93484, 198, 20, 1650, 64, 326, 7751, 311, 2489, 1268, 17104, 701, 3361, 4423, 374, 4999, 7456, 1472, 25, 400, 1313, 20037, 14, 400, 1591, 449, 264, 93484, 198, 2028, 27204, 706, 220, 18, 326, 7751, 323, 220, 16, 45705, 853, 64, 627, 32346, 58639, 25, 400, 1313, 20037, 14, 400, 1591, 449, 264, 93484, 198, 791, 25619, 58639, 374, 459, 27204, 315, 220, 18, 39438, 811, 11, 220, 17, 30584, 294, 2852, 552, 11, 220, 18, 23749, 61741, 11, 323, 220, 17, 35454, 296, 6370, 13, 4718, 4018, 648, 4447, 374, 2771, 311, 1781, 433, 374, 1120, 2288, 19369, 4999, 4516, 31253, 25, 400, 1419, 20037, 14, 400, 1682, 449, 264, 93484, 198, 791, 2100, 31253, 374, 40056, 315, 220, 23, 43316, 3153, 323, 37123, 39853, 13, 12334, 2795, 11, 330, 19182, 3828, 11, 499, 779, 7060, 1, 1093, 62036, 3153, 323, 37123, 39853, 627, 33, 6985, 25, 400, 1627, 20037, 14, 400, 843, 449, 264, 93484, 198, 34, 23332, 55600, 0, 1115, 27204, 706, 220, 18, 1650, 64, 326, 7751, 323, 220, 18, 41245, 3447, 430, 527, 6366, 439, 701, 10456, 832, 627, 2460, 31783, 25, 400, 1591, 20037, 14, 400, 1958, 449, 264, 93484, 198, 2028, 92713, 374, 1903, 709, 315, 220, 975, 39438, 811, 323, 220, 19, 61741, 13, 1102, 596, 264, 2763, 315, 26518, 369, 701, 22786, 311, 1304, 2771, 430, 4423, 8964, 814, 527, 682, 18821, 4999, 3513, 31783, 25, 400, 843, 20037, 14, 400, 1987, 449, 264, 93484, 198, 2028, 374, 459, 27204, 315, 220, 18, 326, 7751, 323, 220, 21, 453, 35155, 50929, 13, 2435, 690, 1455, 7995, 1390, 311, 387, 18821, 1306, 12588, 420, 92713, 627, 40, 2846, 98018, 25, 400, 843, 20037, 14, 400, 1987, 449, 264, 93484, 198, 791, 358, 2846, 98018, 706, 220, 17, 326, 7751, 11, 220, 18, 453, 35155, 50929, 11, 220, 18, 17684, 655, 294, 2852, 552, 11, 323, 220, 16, 35454, 39959, 13, 1102, 596, 264, 7155, 92713, 369, 264, 7155, 15730, 627, 91661, 25, 400, 1272, 20037, 14, 400, 2790, 449, 264, 93484, 198, 791, 55706, 374, 40056, 315, 220, 21, 61741, 323, 220, 23, 453, 35155, 50929, 13, 69721, 420, 92713, 374, 832, 3094, 7119, 3339, 433, 1566, 16058, 449, 430, 3361, 4423, 627, 16, 3234, 5797, 81470, 25, 400, 1272, 20037, 14, 400, 2790, 449, 264, 93484, 198, 32, 39869, 596, 1938, 11670, 26, 264, 21030, 7878, 61741, 304, 2579, 11, 18718, 11, 477, 4251, 374, 279, 4832, 1648, 311, 3237, 701, 3021, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585 ]
586
[ 128000, 40, 617, 1027, 1618, 369, 264, 1418, 323, 856, 1501, 374, 539, 1579, 7419, 323, 358, 6604, 452, 7442, 8329, 2995, 2053, 323, 1518, 757, 304, 586, 323, 358, 1097, 220, 1135, 55123, 2362, 323, 4718, 18308, 374, 856, 3224, 315, 6371, 13, 3092, 836, 374, 8166, 53945, 11, 358, 617, 220, 9892, 23, 20723, 323, 358, 574, 9405, 6250, 220, 22, 339, 220, 5162, 24, 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 ]
[ 128000, 40, 617, 1027, 1618, 369, 264, 1418, 323, 856, 1501, 374, 539, 1579, 7419, 323, 358, 6604, 452, 7442, 8329, 2995, 2053, 323, 1518, 757, 304, 586, 323, 358, 1097, 220, 1135, 55123, 2362, 323, 4718, 18308, 374, 856, 3224, 315, 6371, 13, 3092, 836, 374, 8166, 53945, 11, 358, 617, 220, 9892, 23, 20723, 323, 358, 574, 9405, 6250, 220, 22, 339, 220, 5162, 24, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68 ]
69
[ 128000, 1163, 2444, 56747, 82760, 519, 258, 56747, 2052, 554, 42239, 30133, 1746, 843, 13, 410, 369, 220, 15, 13, 717, 25616, 6266, 374, 7633, 439, 330, 276, 6348, 3422, 1189, 46307, 2579, 449, 264, 13310, 315, 274, 56205, 11, 369, 264, 9257, 11, 66941, 75735, 291, 19588, 1427, 1210, 1952, 757, 11, 433, 596, 264, 9257, 11, 18718, 291, 2579, 449, 46307, 8162, 7666, 19519, 13, 1102, 28421, 7154, 47584, 1933, 323, 1524, 10401, 13, 2684, 374, 27545, 6348, 3422, 1189, 1364, 268, 313, 95373, 4661, 282, 74491, 311, 757, 313, 9210, 48700, 520, 264, 6138, 13, 1102, 596, 264, 1633, 13560, 80058, 2579, 311, 757, 13, 1102, 596, 10107, 323, 16267, 788, 11, 719, 279, 8149, 315, 279, 1933, 6835, 433, 264, 43828, 90030, 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 ]
[ 128000, 1163, 2444, 56747, 82760, 519, 258, 56747, 2052, 554, 42239, 30133, 1746, 843, 13, 410, 369, 220, 15, 13, 717, 25616, 6266, 374, 7633, 439, 330, 276, 6348, 3422, 1189, 46307, 2579, 449, 264, 13310, 315, 274, 56205, 11, 369, 264, 9257, 11, 66941, 75735, 291, 19588, 1427, 1210, 1952, 757, 11, 433, 596, 264, 9257, 11, 18718, 291, 2579, 449, 46307, 8162, 7666, 19519, 13, 1102, 28421, 7154, 47584, 1933, 323, 1524, 10401, 13, 2684, 374, 27545, 6348, 3422, 1189, 1364, 268, 313, 95373, 4661, 282, 74491, 311, 757, 313, 9210, 48700, 520, 264, 6138, 13, 1102, 596, 264, 1633, 13560, 80058, 2579, 311, 757, 13, 1102, 596, 10107, 323, 16267, 788, 11, 719, 279, 8149, 315, 279, 1933, 6835, 433, 264, 43828, 90030, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127 ]
128
[ 128000, 40, 1097, 2103, 26259, 369, 279, 502, 6916, 1105, 584, 617, 17454, 1694, 10213, 264, 597, 1137, 72, 1925, 11, 4869, 802, 309, 1136, 64, 323, 16089, 527, 856, 6622, 323, 9298, 1124, 449, 912, 502, 6916, 1105, 3727, 757, 25406, 439, 48707, 1566, 3280, 430, 19487, 502, 6916, 1105, 13, 36625, 802, 309, 1136, 64, 304, 856, 9647, 13, 220, 578, 1193, 7437, 430, 1304, 279, 6308, 12912, 1427, 15326, 527, 279, 6305, 449, 279, 9501, 45526, 4869, 814, 1427, 1093, 701, 12512, 264, 24016, 289, 564, 505, 1268, 62305, 279, 27860, 3245, 374, 13, 11699, 3060, 289, 564, 2010, 449, 74544, 27367, 2466, 4883, 2547, 477, 7155, 3411, 17895, 28165, 26, 25567, 449, 1536, 95832, 6308, 12912, 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 ]
[ 128000, 40, 1097, 2103, 26259, 369, 279, 502, 6916, 1105, 584, 617, 17454, 1694, 10213, 264, 597, 1137, 72, 1925, 11, 4869, 802, 309, 1136, 64, 323, 16089, 527, 856, 6622, 323, 9298, 1124, 449, 912, 502, 6916, 1105, 3727, 757, 25406, 439, 48707, 1566, 3280, 430, 19487, 502, 6916, 1105, 13, 36625, 802, 309, 1136, 64, 304, 856, 9647, 13, 220, 578, 1193, 7437, 430, 1304, 279, 6308, 12912, 1427, 15326, 527, 279, 6305, 449, 279, 9501, 45526, 4869, 814, 1427, 1093, 701, 12512, 264, 24016, 289, 564, 505, 1268, 62305, 279, 27860, 3245, 374, 13, 11699, 3060, 289, 564, 2010, 449, 74544, 27367, 2466, 4883, 2547, 477, 7155, 3411, 17895, 28165, 26, 25567, 449, 1536, 95832, 6308, 12912, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121 ]
122
[ 128000, 7934, 3301, 5125, 29621, 11, 6186, 220, 868, 11, 220, 679, 19, 2001, 578, 1888, 33819, 4311, 304, 279, 549, 815, 13, 690, 9762, 304, 14539, 12140, 3131, 1578, 311, 4465, 369, 279, 2316, 315, 549, 815, 13, 33597, 323, 549, 815, 13, 11215, 40929, 33597, 627, 2520, 279, 26084, 24871, 1060, 14539, 12140, 690, 3552, 279, 1948, 33819, 40161, 304, 279, 7140, 13, 578, 4311, 690, 387, 27260, 369, 810, 1109, 264, 8502, 315, 264, 3610, 11441, 304, 22643, 3300, 627, 2520, 279, 549, 815, 13, 19134, 11, 279, 13844, 3624, 8143, 3131, 1578, 690, 25438, 279, 3451, 3, 1227, 42, 63016, 32293, 23189, 311, 387, 22034, 311, 5606, 430, 12483, 264, 4832, 220, 806, 12, 15, 11, 304, 16044, 315, 38481, 63016, 40929, 4528, 61238, 520, 279, 220, 5162, 18, 12, 1227, 549, 815, 13, 19134, 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 ]
[ 128000, 7934, 3301, 5125, 29621, 11, 6186, 220, 868, 11, 220, 679, 19, 2001, 578, 1888, 33819, 4311, 304, 279, 549, 815, 13, 690, 9762, 304, 14539, 12140, 3131, 1578, 311, 4465, 369, 279, 2316, 315, 549, 815, 13, 33597, 323, 549, 815, 13, 11215, 40929, 33597, 627, 2520, 279, 26084, 24871, 1060, 14539, 12140, 690, 3552, 279, 1948, 33819, 40161, 304, 279, 7140, 13, 578, 4311, 690, 387, 27260, 369, 810, 1109, 264, 8502, 315, 264, 3610, 11441, 304, 22643, 3300, 627, 2520, 279, 549, 815, 13, 19134, 11, 279, 13844, 3624, 8143, 3131, 1578, 690, 25438, 279, 3451, 3, 1227, 42, 63016, 32293, 23189, 311, 387, 22034, 311, 5606, 430, 12483, 264, 4832, 220, 806, 12, 15, 11, 304, 16044, 315, 38481, 63016, 40929, 4528, 61238, 520, 279, 220, 5162, 18, 12, 1227, 549, 815, 13, 19134, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140 ]
141
[ 128000, 59978, 315, 70723, 477, 452, 29574, 374, 279, 559, 12828, 727, 41394, 389, 279, 4871, 315, 3738, 55509, 33879, 9606, 13, 1115, 6348, 3422, 1189, 6324, 374, 1903, 315, 802, 6241, 635, 323, 10241, 635, 320, 27684, 2411, 84443, 46033, 16751, 570, 21720, 315, 70723, 706, 1690, 54453, 30519, 2737, 70723, 62607, 15266, 13, 21720, 315, 70723, 374, 24121, 1766, 304, 1063, 315, 279, 9191, 1584, 1154, 315, 88759, 897, 30797, 320, 93555, 331, 114405, 11, 8877, 7006, 114405, 323, 473, 8115, 354, 114405, 705, 63190, 12130, 454, 30797, 323, 293, 4023, 2396, 13, 4452, 11, 1455, 55509, 355, 2857, 617, 264, 4247, 5997, 18133, 9358, 6324, 11, 539, 308, 29574, 788, 13, 1115, 955, 315, 6324, 706, 264, 2536, 12, 404, 3422, 1189, 33505, 11, 477, 2536, 5392, 29574, 788, 6348, 307, 3380, 768, 13, 37456, 13931, 315, 70723, 296, 32964, 323, 70723, 297, 100163, 527, 1903, 315, 6691, 315, 70723, 627, 59978, 315, 70723, 574, 42817, 1511, 555, 14154, 82604, 369, 5370, 46536, 10096, 13, 11699, 1005, 13003, 1203, 311, 810, 1109, 220, 3443, 15, 18531, 11, 8051, 279, 1005, 315, 5150, 92732, 3940, 1193, 1306, 220, 20, 339, 9478, 18531, 13, 763, 220, 9870, 15, 18531, 11, 8620, 27458, 21720, 315, 23910, 4835, 439, 87630, 53635, 13, 763, 6890, 11, 14154, 82729, 11846, 430, 10087, 80409, 11352, 279, 1176, 21720, 315, 37343, 13, 38050, 49817, 27458, 6691, 315, 70723, 439, 264, 7891, 315, 12205, 323, 66221, 13, 578, 14154, 61780, 1511, 1124, 5423, 520, 55344, 13, 2435, 11846, 430, 6691, 315, 70723, 85368, 4546, 3021, 13, 38050, 13041, 44068, 1856, 6577, 279, 39669, 320, 1419, 9827, 1389, 6287, 220, 914, 11, 220, 4643, 9827, 8, 7633, 279, 1455, 28284, 9417, 304, 13041, 3925, 16239, 92732, 304, 813, 2363, 11, 1054, 55381, 11346, 11453, 37102, 454, 40658, 11, 279, 1566, 33589, 29006, 11, 28902, 369, 264, 87838, 369, 279, 13041, 7808, 19412, 97728, 13, 578, 3446, 5900, 1093, 420, 25, 37102, 454, 40658, 29991, 19412, 97728, 430, 1364, 1436, 10150, 311, 3041, 279, 1455, 11646, 15496, 3596, 3984, 13, 763, 264, 27274, 315, 20897, 13378, 11, 37102, 454, 40658, 12504, 832, 315, 1077, 6691, 315, 70723, 67301, 13, 1102, 574, 5922, 315, 220, 605, 3610, 274, 5302, 1634, 13, 27191, 84903, 6425, 56767, 279, 70723, 13, 37102, 454, 40658, 54244, 433, 323, 2834, 279, 1297, 13, 578, 3723, 4273, 3719, 279, 3682, 58478, 315, 6691, 8838, 12, 8174, 75, 13, 21720, 315, 70723, 574, 1511, 311, 1304, 6348, 3422, 1189, 17895, 12706, 13, 8766, 919, 315, 12706, 1051, 35990, 682, 927, 279, 1917, 505, 21357, 13, 1115, 2626, 36513, 12222, 279, 5209, 12, 508, 339, 9478, 13, 25929, 11, 433, 574, 12860, 449, 12466, 3956, 627, 59978, 315, 70723, 17610, 315, 12651, 24346, 802, 6241, 635, 12235, 10145, 902, 527, 28902, 304, 15638, 32703, 2259, 13, 44037, 6303, 1903, 315, 36573, 6160, 28765, 1631, 388, 8821, 1521, 13931, 13, 578, 20955, 315, 36573, 6160, 28765, 1631, 388, 323, 95749, 12235, 10145, 3727, 6691, 315, 70723, 59780, 11, 439, 1664, 439, 3831, 13, 1102, 649, 387, 3776, 477, 4251, 28296, 13, 578, 802, 6241, 635, 12235, 10145, 529, 26839, 15499, 53291, 279, 9621, 3177, 753, 46406, 13, 1666, 264, 1121, 11, 1070, 374, 264, 40652, 11, 439, 1664, 439, 54584, 32317, 315, 5370, 93959, 315, 279, 3177, 13, 34496, 8146, 527, 27000, 520, 5370, 27030, 315, 20705, 902, 3727, 279, 6691, 315, 70723, 33505, 79349, 627, 791, 64779, 59544, 7917, 3118, 304, 279, 55509, 33879, 753, 71532, 20438, 19159, 6691, 315, 70723, 311, 6144, 5196, 505, 28856, 79383, 13, 452, 29574, 374, 54568, 15320, 389, 279, 12811, 753, 9358, 7479, 13, 1102, 36236, 279, 8579, 20438, 505, 9434, 35098, 323, 79383, 555, 1218, 2925, 287, 1124, 304, 50024, 13931, 315, 308, 29574, 13, 1102, 11767, 311, 279, 18488, 315, 264, 1949, 70723, 477, 264, 81792, 70723, 2949, 279, 71532, 39881, 13, 578, 6367, 919, 315, 452, 29574, 374, 264, 9232, 757, 936, 25105, 2191, 304, 279, 55509, 33879, 13, 1115, 17383, 374, 3967, 439, 3289, 599, 367, 13, 1115, 1920, 9731, 439, 1317, 439, 279, 55509, 33879, 374, 13989, 627, 59978, 315, 70723, 706, 1027, 1511, 369, 5370, 46536, 10096, 13, 11995, 3776, 11, 439, 1664, 439, 4251, 6691, 315, 70723, 374, 1511, 304, 43563, 48679, 13, 1102, 649, 34504, 49104, 291, 449, 1023, 8146, 13, 21720, 315, 70723, 80930, 2473, 68, 649, 387, 4018, 1139, 5370, 21483, 323, 79533, 660, 311, 264, 42390, 2385, 477, 43124, 10228, 311, 1893, 459, 42408, 5497, 477, 71624, 13, 21720, 315, 70723, 80930, 2473, 68, 374, 44461, 323, 44979, 447, 12616, 311, 1893, 264, 74156, 11, 439, 1664, 439, 27220, 7479, 13, 8828, 12923, 25112, 315, 6691, 315, 70723, 649, 387, 1511, 389, 14620, 11, 15135, 27035, 11, 14365, 11, 22959, 323, 85313, 13, 21720, 315, 70723, 374, 1101, 1511, 304, 279, 1917, 315, 11401, 13, 53800, 1903, 315, 308, 29574, 527, 1511, 304, 682, 4595, 315, 17895, 13, 21720, 315, 70723, 374, 1101, 1511, 369, 49682, 31817, 11, 32860, 11, 16766, 323, 49995, 13, 1102, 374, 1101, 1511, 369, 49682, 2204, 4595, 315, 82036, 8839, 1778, 439, 20016, 2439, 323, 61080, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 59978, 315, 70723, 477, 452, 29574, 374, 279, 559, 12828, 727, 41394, 389, 279, 4871, 315, 3738, 55509, 33879, 9606, 13, 1115, 6348, 3422, 1189, 6324, 374, 1903, 315, 802, 6241, 635, 323, 10241, 635, 320, 27684, 2411, 84443, 46033, 16751, 570, 21720, 315, 70723, 706, 1690, 54453, 30519, 2737, 70723, 62607, 15266, 13, 21720, 315, 70723, 374, 24121, 1766, 304, 1063, 315, 279, 9191, 1584, 1154, 315, 88759, 897, 30797, 320, 93555, 331, 114405, 11, 8877, 7006, 114405, 323, 473, 8115, 354, 114405, 705, 63190, 12130, 454, 30797, 323, 293, 4023, 2396, 13, 4452, 11, 1455, 55509, 355, 2857, 617, 264, 4247, 5997, 18133, 9358, 6324, 11, 539, 308, 29574, 788, 13, 1115, 955, 315, 6324, 706, 264, 2536, 12, 404, 3422, 1189, 33505, 11, 477, 2536, 5392, 29574, 788, 6348, 307, 3380, 768, 13, 37456, 13931, 315, 70723, 296, 32964, 323, 70723, 297, 100163, 527, 1903, 315, 6691, 315, 70723, 627, 59978, 315, 70723, 574, 42817, 1511, 555, 14154, 82604, 369, 5370, 46536, 10096, 13, 11699, 1005, 13003, 1203, 311, 810, 1109, 220, 3443, 15, 18531, 11, 8051, 279, 1005, 315, 5150, 92732, 3940, 1193, 1306, 220, 20, 339, 9478, 18531, 13, 763, 220, 9870, 15, 18531, 11, 8620, 27458, 21720, 315, 23910, 4835, 439, 87630, 53635, 13, 763, 6890, 11, 14154, 82729, 11846, 430, 10087, 80409, 11352, 279, 1176, 21720, 315, 37343, 13, 38050, 49817, 27458, 6691, 315, 70723, 439, 264, 7891, 315, 12205, 323, 66221, 13, 578, 14154, 61780, 1511, 1124, 5423, 520, 55344, 13, 2435, 11846, 430, 6691, 315, 70723, 85368, 4546, 3021, 13, 38050, 13041, 44068, 1856, 6577, 279, 39669, 320, 1419, 9827, 1389, 6287, 220, 914, 11, 220, 4643, 9827, 8, 7633, 279, 1455, 28284, 9417, 304, 13041, 3925, 16239, 92732, 304, 813, 2363, 11, 1054, 55381, 11346, 11453, 37102, 454, 40658, 11, 279, 1566, 33589, 29006, 11, 28902, 369, 264, 87838, 369, 279, 13041, 7808, 19412, 97728, 13, 578, 3446, 5900, 1093, 420, 25, 37102, 454, 40658, 29991, 19412, 97728, 430, 1364, 1436, 10150, 311, 3041, 279, 1455, 11646, 15496, 3596, 3984, 13, 763, 264, 27274, 315, 20897, 13378, 11, 37102, 454, 40658, 12504, 832, 315, 1077, 6691, 315, 70723, 67301, 13, 1102, 574, 5922, 315, 220, 605, 3610, 274, 5302, 1634, 13, 27191, 84903, 6425, 56767, 279, 70723, 13, 37102, 454, 40658, 54244, 433, 323, 2834, 279, 1297, 13, 578, 3723, 4273, 3719, 279, 3682, 58478, 315, 6691, 8838, 12, 8174, 75, 13, 21720, 315, 70723, 574, 1511, 311, 1304, 6348, 3422, 1189, 17895, 12706, 13, 8766, 919, 315, 12706, 1051, 35990, 682, 927, 279, 1917, 505, 21357, 13, 1115, 2626, 36513, 12222, 279, 5209, 12, 508, 339, 9478, 13, 25929, 11, 433, 574, 12860, 449, 12466, 3956, 627, 59978, 315, 70723, 17610, 315, 12651, 24346, 802, 6241, 635, 12235, 10145, 902, 527, 28902, 304, 15638, 32703, 2259, 13, 44037, 6303, 1903, 315, 36573, 6160, 28765, 1631, 388, 8821, 1521, 13931, 13, 578, 20955, 315, 36573, 6160, 28765, 1631, 388, 323, 95749, 12235, 10145, 3727, 6691, 315, 70723, 59780, 11, 439, 1664, 439, 3831, 13, 1102, 649, 387, 3776, 477, 4251, 28296, 13, 578, 802, 6241, 635, 12235, 10145, 529, 26839, 15499, 53291, 279, 9621, 3177, 753, 46406, 13, 1666, 264, 1121, 11, 1070, 374, 264, 40652, 11, 439, 1664, 439, 54584, 32317, 315, 5370, 93959, 315, 279, 3177, 13, 34496, 8146, 527, 27000, 520, 5370, 27030, 315, 20705, 902, 3727, 279, 6691, 315, 70723, 33505, 79349, 627, 791, 64779, 59544, 7917, 3118, 304, 279, 55509, 33879, 753, 71532, 20438, 19159, 6691, 315, 70723, 311, 6144, 5196, 505, 28856, 79383, 13, 452, 29574, 374, 54568, 15320, 389, 279, 12811, 753, 9358, 7479, 13, 1102, 36236, 279, 8579, 20438, 505, 9434, 35098, 323, 79383, 555, 1218, 2925, 287, 1124, 304, 50024, 13931, 315, 308, 29574, 13, 1102, 11767, 311, 279, 18488, 315, 264, 1949, 70723, 477, 264, 81792, 70723, 2949, 279, 71532, 39881, 13, 578, 6367, 919, 315, 452, 29574, 374, 264, 9232, 757, 936, 25105, 2191, 304, 279, 55509, 33879, 13, 1115, 17383, 374, 3967, 439, 3289, 599, 367, 13, 1115, 1920, 9731, 439, 1317, 439, 279, 55509, 33879, 374, 13989, 627, 59978, 315, 70723, 706, 1027, 1511, 369, 5370, 46536, 10096, 13, 11995, 3776, 11, 439, 1664, 439, 4251, 6691, 315, 70723, 374, 1511, 304, 43563, 48679, 13, 1102, 649, 34504, 49104, 291, 449, 1023, 8146, 13, 21720, 315, 70723, 80930, 2473, 68, 649, 387, 4018, 1139, 5370, 21483, 323, 79533, 660, 311, 264, 42390, 2385, 477, 43124, 10228, 311, 1893, 459, 42408, 5497, 477, 71624, 13, 21720, 315, 70723, 80930, 2473, 68, 374, 44461, 323, 44979, 447, 12616, 311, 1893, 264, 74156, 11, 439, 1664, 439, 27220, 7479, 13, 8828, 12923, 25112, 315, 6691, 315, 70723, 649, 387, 1511, 389, 14620, 11, 15135, 27035, 11, 14365, 11, 22959, 323, 85313, 13, 21720, 315, 70723, 374, 1101, 1511, 304, 279, 1917, 315, 11401, 13, 53800, 1903, 315, 308, 29574, 527, 1511, 304, 682, 4595, 315, 17895, 13, 21720, 315, 70723, 374, 1101, 1511, 369, 49682, 31817, 11, 32860, 11, 16766, 323, 49995, 13, 1102, 374, 1101, 1511, 369, 49682, 2204, 4595, 315, 82036, 8839, 1778, 439, 20016, 2439, 323, 61080, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852 ]
853
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 56813, 279, 46361, 315, 43221, 16792, 198, 5223, 62, 15, 25, 3639, 422, 459, 55935, 1778, 439, 6515, 2727, 8952, 6944, 311, 13685, 279, 67599, 315, 16792, 311, 51048, 477, 28378, 2949, 279, 7471, 30, 24226, 8142, 6515, 2727, 1253, 387, 15324, 439, 264, 22542, 55935, 11, 36159, 1253, 539, 13, 220, 1115, 690, 4461, 1397, 1063, 1376, 315, 17033, 685, 8957, 1595, 11916, 2727, 482, 36159, 1492, 10278, 482, 36159, 1492, 28378, 63, 430, 690, 1205, 311, 387, 8272, 304, 2015, 311, 10356, 279, 17025, 315, 264, 2728, 41307, 13, 220, 510, 32, 4108, 9725, 2485, 1129, 5316, 916, 7682, 40352, 51804, 14, 5548, 3880, 69, 4942, 64078, 24184, 32336, 58871, 14, 7755, 18, 18251, 1248, 12, 17341, 4565, 8, 706, 1063, 2038, 389, 420, 11, 719, 358, 2846, 539, 2771, 279, 3575, 374, 3604, 29056, 3686, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 4701, 29616, 1198, 1070, 527, 5505, 323, 7185, 46361, 17357, 649, 387, 1520, 304, 31692, 264, 8957, 315, 7095, 18304, 2520, 330, 85, 16, 498, 584, 2351, 9293, 311, 5387, 1521, 3649, 704, 315, 7036, 13, 763, 1023, 4339, 11, 369, 1057, 2926, 4984, 25, 6515, 2727, 649, 617, 459, 5419, 46361, 6070, 11, 719, 3966, 311, 3060, 220, 16, 8, 330, 785, 1, 279, 33728, 520, 279, 41295, 2237, 11, 477, 220, 17, 8, 6106, 430, 682, 330, 67917, 11852, 1, 423, 31566, 2949, 1202, 1866, 30022, 649, 387, 6089, 3967, 22205, 28244, 555, 39661, 9875, 18304, 38257, 3169, 315, 7872, 1288, 9778, 387, 17439, 555, 330, 57755, 49125, 1, 323, 4756, 439, 330, 7331, 11725, 1, 315, 53066, 388, 26, 1778, 17357, 527, 9678, 315, 279, 6332, 67599, 98900, 29388, 649, 636, 810, 27877, 927, 892, 11, 779, 358, 2846, 10882, 6041, 14470, 4415, 3210, 6266, 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 ]
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 56813, 279, 46361, 315, 43221, 16792, 198, 5223, 62, 15, 25, 3639, 422, 459, 55935, 1778, 439, 6515, 2727, 8952, 6944, 311, 13685, 279, 67599, 315, 16792, 311, 51048, 477, 28378, 2949, 279, 7471, 30, 24226, 8142, 6515, 2727, 1253, 387, 15324, 439, 264, 22542, 55935, 11, 36159, 1253, 539, 13, 220, 1115, 690, 4461, 1397, 1063, 1376, 315, 17033, 685, 8957, 1595, 11916, 2727, 482, 36159, 1492, 10278, 482, 36159, 1492, 28378, 63, 430, 690, 1205, 311, 387, 8272, 304, 2015, 311, 10356, 279, 17025, 315, 264, 2728, 41307, 13, 220, 510, 32, 4108, 9725, 2485, 1129, 5316, 916, 7682, 40352, 51804, 14, 5548, 3880, 69, 4942, 64078, 24184, 32336, 58871, 14, 7755, 18, 18251, 1248, 12, 17341, 4565, 8, 706, 1063, 2038, 389, 420, 11, 719, 358, 2846, 539, 2771, 279, 3575, 374, 3604, 29056, 3686, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 4701, 29616, 1198, 1070, 527, 5505, 323, 7185, 46361, 17357, 649, 387, 1520, 304, 31692, 264, 8957, 315, 7095, 18304, 2520, 330, 85, 16, 498, 584, 2351, 9293, 311, 5387, 1521, 3649, 704, 315, 7036, 13, 763, 1023, 4339, 11, 369, 1057, 2926, 4984, 25, 6515, 2727, 649, 617, 459, 5419, 46361, 6070, 11, 719, 3966, 311, 3060, 220, 16, 8, 330, 785, 1, 279, 33728, 520, 279, 41295, 2237, 11, 477, 220, 17, 8, 6106, 430, 682, 330, 67917, 11852, 1, 423, 31566, 2949, 1202, 1866, 30022, 649, 387, 6089, 3967, 22205, 28244, 555, 39661, 9875, 18304, 38257, 3169, 315, 7872, 1288, 9778, 387, 17439, 555, 330, 57755, 49125, 1, 323, 4756, 439, 330, 7331, 11725, 1, 315, 53066, 388, 26, 1778, 17357, 527, 9678, 315, 279, 6332, 67599, 98900, 29388, 649, 636, 810, 27877, 927, 892, 11, 779, 358, 2846, 10882, 6041, 14470, 4415, 3210, 6266, 27, 11407, 45797, 29, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308 ]
309
[ 128000, 26368, 483, 21750, 374, 505, 279, 39503, 432, 647, 316, 2192, 86, 1494, 483, 11, 17030, 31757, 10462, 432, 13637, 575, 13637, 323, 17030, 31757, 10462, 85107, 2234, 63353, 13, 3005, 706, 264, 4092, 304, 22027, 1389, 27666, 1077, 30661, 323, 11060, 753, 520, 84600, 3907, 11, 2960, 1171, 2212, 22350, 18803, 66801, 11, 1579, 65487, 42699, 3394, 5788, 323, 25544, 661, 56754, 2508, 13, 3005, 1457, 24400, 389, 296, 31757, 2629, 324, 19934, 386, 31757, 13915, 5938, 449, 386, 31757, 13915, 82213, 323, 8776, 386, 31757, 13915, 72095, 2663, 386, 640, 61224, 627, 26368, 483, 374, 42817, 6532, 304, 279, 386, 31757, 13915, 4029, 323, 374, 459, 4642, 4562, 315, 264, 1396, 315, 7095, 21126, 13, 25122, 11, 1364, 374, 279, 16478, 9164, 315, 279, 13581, 315, 386, 31757, 13915, 95803, 8483, 323, 15415, 6055, 320, 99872, 705, 323, 1070, 1364, 374, 12514, 311, 279, 4631, 367, 323, 279, 79955, 2065, 315, 386, 31757, 13915, 87283, 6917, 52322, 323, 386, 640, 61224, 627, 26368, 483, 374, 264, 19903, 42043, 7889, 520, 279, 12541, 369, 10170, 304, 13581, 520, 23225, 3907, 57104, 323, 1364, 374, 264, 1912, 4562, 315, 279, 386, 6526, 7723, 45013, 5856, 63779, 279, 10423, 389, 279, 386, 6526, 7723, 5426, 13560, 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 ]
[ 128000, 26368, 483, 21750, 374, 505, 279, 39503, 432, 647, 316, 2192, 86, 1494, 483, 11, 17030, 31757, 10462, 432, 13637, 575, 13637, 323, 17030, 31757, 10462, 85107, 2234, 63353, 13, 3005, 706, 264, 4092, 304, 22027, 1389, 27666, 1077, 30661, 323, 11060, 753, 520, 84600, 3907, 11, 2960, 1171, 2212, 22350, 18803, 66801, 11, 1579, 65487, 42699, 3394, 5788, 323, 25544, 661, 56754, 2508, 13, 3005, 1457, 24400, 389, 296, 31757, 2629, 324, 19934, 386, 31757, 13915, 5938, 449, 386, 31757, 13915, 82213, 323, 8776, 386, 31757, 13915, 72095, 2663, 386, 640, 61224, 627, 26368, 483, 374, 42817, 6532, 304, 279, 386, 31757, 13915, 4029, 323, 374, 459, 4642, 4562, 315, 264, 1396, 315, 7095, 21126, 13, 25122, 11, 1364, 374, 279, 16478, 9164, 315, 279, 13581, 315, 386, 31757, 13915, 95803, 8483, 323, 15415, 6055, 320, 99872, 705, 323, 1070, 1364, 374, 12514, 311, 279, 4631, 367, 323, 279, 79955, 2065, 315, 386, 31757, 13915, 87283, 6917, 52322, 323, 386, 640, 61224, 627, 26368, 483, 374, 264, 19903, 42043, 7889, 520, 279, 12541, 369, 10170, 304, 13581, 520, 23225, 3907, 57104, 323, 1364, 374, 264, 1912, 4562, 315, 279, 386, 6526, 7723, 45013, 5856, 63779, 279, 10423, 389, 279, 386, 6526, 7723, 5426, 13560, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207 ]
208
[ 128000, 9673, 293, 632, 552, 1427, 1648, 2288, 3428, 311, 387, 10978, 13, 358, 1440, 584, 9167, 956, 1047, 4205, 5190, 3686, 11, 719, 1120, 3196, 389, 1148, 584, 617, 3970, 779, 3117, 382, 43, 30977, 2751, 709, 311, 220, 16, 13, 20, 65, 369, 3515, 279, 6570, 6800, 26155, 323, 3515, 39611, 63501, 18667, 813, 13941, 4315, 449, 1063, 297, 668, 4171, 12204, 811, 10675, 13, 445, 30977, 596, 53523, 374, 4661, 6273, 311, 813, 1866, 13941, 520, 420, 4545, 382, 3923, 311, 6604, 922, 279, 6023, 2237, 315, 682, 1521, 1023, 1274, 889, 617, 1274, 449, 16280, 220, 16, 65, 10, 51129, 353, 8154, 9, 1124, 2949, 872, 43160, 30, 20387, 596, 55066, 13941, 374, 4762, 5922, 1093, 220, 22, 65, 10, 422, 499, 2759, 369, 682, 1884, 83957, 61427, 1778, 439, 87213, 11, 14569, 333, 36834, 11, 13620, 1295, 11, 9995, 423, 6, 269, 5099, 13, 1102, 1053, 387, 16682, 422, 1364, 1047, 779, 1790, 810, 8244, 53523, 323, 94826, 8824, 323, 2753, 1109, 220, 16, 4121, 810, 6023, 1109, 445, 30977, 13, 26823, 449, 18772, 2216, 11, 220, 2636, 76, 5190, 1109, 445, 30977, 30, 26340, 3952, 927, 682, 315, 53603, 39543, 323, 1524, 706, 264, 4846, 14933, 37478, 51129, 1234, 1461, 56939, 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 ]
[ 128000, 9673, 293, 632, 552, 1427, 1648, 2288, 3428, 311, 387, 10978, 13, 358, 1440, 584, 9167, 956, 1047, 4205, 5190, 3686, 11, 719, 1120, 3196, 389, 1148, 584, 617, 3970, 779, 3117, 382, 43, 30977, 2751, 709, 311, 220, 16, 13, 20, 65, 369, 3515, 279, 6570, 6800, 26155, 323, 3515, 39611, 63501, 18667, 813, 13941, 4315, 449, 1063, 297, 668, 4171, 12204, 811, 10675, 13, 445, 30977, 596, 53523, 374, 4661, 6273, 311, 813, 1866, 13941, 520, 420, 4545, 382, 3923, 311, 6604, 922, 279, 6023, 2237, 315, 682, 1521, 1023, 1274, 889, 617, 1274, 449, 16280, 220, 16, 65, 10, 51129, 353, 8154, 9, 1124, 2949, 872, 43160, 30, 20387, 596, 55066, 13941, 374, 4762, 5922, 1093, 220, 22, 65, 10, 422, 499, 2759, 369, 682, 1884, 83957, 61427, 1778, 439, 87213, 11, 14569, 333, 36834, 11, 13620, 1295, 11, 9995, 423, 6, 269, 5099, 13, 1102, 1053, 387, 16682, 422, 1364, 1047, 779, 1790, 810, 8244, 53523, 323, 94826, 8824, 323, 2753, 1109, 220, 16, 4121, 810, 6023, 1109, 445, 30977, 13, 26823, 449, 18772, 2216, 11, 220, 2636, 76, 5190, 1109, 445, 30977, 30, 26340, 3952, 927, 682, 315, 53603, 39543, 323, 1524, 706, 264, 4846, 14933, 37478, 51129, 1234, 1461, 56939, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208 ]
209
[ 128000, 14710, 17836, 9469, 261, 1083, 220, 1187, 13, 4448, 611, 220, 868, 25, 2131, 35131, 97260, 25134, 331, 29384, 578, 6457, 3196, 15992, 2998, 953, 374, 832, 315, 12515, 15841, 1814, 8529, 45677, 6222, 3754, 9002, 39462, 42795, 323, 6787, 311, 4984, 872, 3953, 304, 1664, 22015, 12515, 25763, 45677, 21165, 1139, 2038, 13, 46099, 8529, 45677, 11, 889, 706, 15662, 264, 17444, 304, 279, 16211, 12515, 2170, 19487, 11, 279, 9678, 33084, 14356, 578, 39616, 37164, 82, 320, 791, 13000, 11218, 315, 63264, 25581, 8, 389, 872, 4033, 12515, 14939, 578, 39616, 37164, 82, 8621, 264, 3544, 4652, 389, 279, 4033, 24007, 11, 902, 374, 11622, 29329, 311, 12515, 6153, 279, 11999, 6566, 315, 8451, 7649, 315, 279, 1403, 33520, 374, 24264, 22403, 878, 11637, 9671, 4435, 11, 902, 3952, 12515, 20644, 21222, 4140, 10175, 7359, 1440, 430, 1690, 315, 279, 2532, 596, 33935, 527, 892, 2922, 32611, 13, 578, 16131, 11, 12515, 10493, 5606, 1766, 279, 13003, 1063, 3953, 5131, 4668, 389, 21222, 4140, 10175, 11, 2737, 1063, 30732, 12515, 13129, 2740, 11, 5210, 690, 22203, 279, 17065, 315, 3953, 505, 264, 4140, 10175, 15493, 1403, 5672, 304, 2564, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 14710, 17836, 9469, 261, 1083, 220, 1187, 13, 4448, 611, 220, 868, 25, 2131, 35131, 97260, 25134, 331, 29384, 578, 6457, 3196, 15992, 2998, 953, 374, 832, 315, 12515, 15841, 1814, 8529, 45677, 6222, 3754, 9002, 39462, 42795, 323, 6787, 311, 4984, 872, 3953, 304, 1664, 22015, 12515, 25763, 45677, 21165, 1139, 2038, 13, 46099, 8529, 45677, 11, 889, 706, 15662, 264, 17444, 304, 279, 16211, 12515, 2170, 19487, 11, 279, 9678, 33084, 14356, 578, 39616, 37164, 82, 320, 791, 13000, 11218, 315, 63264, 25581, 8, 389, 872, 4033, 12515, 14939, 578, 39616, 37164, 82, 8621, 264, 3544, 4652, 389, 279, 4033, 24007, 11, 902, 374, 11622, 29329, 311, 12515, 6153, 279, 11999, 6566, 315, 8451, 7649, 315, 279, 1403, 33520, 374, 24264, 22403, 878, 11637, 9671, 4435, 11, 902, 3952, 12515, 20644, 21222, 4140, 10175, 7359, 1440, 430, 1690, 315, 279, 2532, 596, 33935, 527, 892, 2922, 32611, 13, 578, 16131, 11, 12515, 10493, 5606, 1766, 279, 13003, 1063, 3953, 5131, 4668, 389, 21222, 4140, 10175, 11, 2737, 1063, 30732, 12515, 13129, 2740, 11, 5210, 690, 22203, 279, 17065, 315, 3953, 505, 264, 4140, 10175, 15493, 1403, 5672, 304, 2564, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192 ]
193
[ 128000, 28005, 311, 4510, 433, 706, 1027, 220, 1313, 1667, 2533, 584, 617, 14333, 420, 5015, 15061, 8176, 11, 902, 14760, 1523, 279, 30740, 369, 1690, 315, 11791, 954, 4731, 14385, 323, 9147, 432, 49339, 311, 49480, 1139, 279, 21391, 4999, 51, 8724, 8272, 709, 872, 49737, 6992, 220, 2550, 17, 17755, 8176, 3451, 46, 26845, 78, 2319, 20990, 1981, 389, 279, 91582, 30973, 529, 449, 264, 810, 17551, 1203, 11, 15042, 323, 11124, 5603, 449, 279, 1520, 315, 8569, 3902, 68, 51383, 462, 11, 10995, 1534, 2360, 553, 11, 21266, 1594, 323, 19051, 19816, 627, 644, 1990, 279, 14975, 315, 279, 8176, 11, 14043, 28929, 753, 529, 4999, 20397, 11486, 810, 1109, 220, 605, 3610, 11236, 304, 279, 2326, 7636, 11, 10671, 279, 1176, 1912, 311, 7380, 264, 22996, 23759, 8176, 11, 91582, 13019, 369, 12735, 220, 806, 36707, 2768, 279, 40010, 315, 872, 539, 779, 2294, 17517, 449, 872, 2440, 323, 4846, 6783, 627, 5530, 28929, 753, 4443, 22747, 9539, 65208, 2802, 323, 6763, 315, 279, 3254, 323, 8176, 11, 719, 279, 4731, 21881, 369, 5196, 627, 791, 5410, 315, 279, 11936, 11, 1948, 4367, 5788, 323, 279, 5016, 1742, 323, 30903, 315, 350, 12, 1255, 89, 11, 921, 58268, 323, 14043, 28929, 1903, 420, 58105, 8176, 2559, 279, 1296, 315, 892, 11, 9861, 1120, 439, 3062, 311, 279, 1917, 1306, 220, 1313, 1667, 439, 433, 574, 304, 220, 2550, 19, 4999, 13359, 499, 369, 1694, 51363, 11, 29379, 323, 24882, 11, 91582, 4999, 4054, 3463, 389, 1054, 33947, 220, 1313, 303, 47898, 11, 51363, 70617, 57850, 18319, 198, 4054, 315, 279, 1888, 3828, 1912, 11, 8176, 3596, 0, 10919, 433, 11, 2103, 67724, 420, 3432, 0, 6295, 31269, 1900, 0, 91582, 220, 19, 57540, 11, 1790, 3021, 51447, 13246, 77668, 555, 220, 16, 1732, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 28005, 311, 4510, 433, 706, 1027, 220, 1313, 1667, 2533, 584, 617, 14333, 420, 5015, 15061, 8176, 11, 902, 14760, 1523, 279, 30740, 369, 1690, 315, 11791, 954, 4731, 14385, 323, 9147, 432, 49339, 311, 49480, 1139, 279, 21391, 4999, 51, 8724, 8272, 709, 872, 49737, 6992, 220, 2550, 17, 17755, 8176, 3451, 46, 26845, 78, 2319, 20990, 1981, 389, 279, 91582, 30973, 529, 449, 264, 810, 17551, 1203, 11, 15042, 323, 11124, 5603, 449, 279, 1520, 315, 8569, 3902, 68, 51383, 462, 11, 10995, 1534, 2360, 553, 11, 21266, 1594, 323, 19051, 19816, 627, 644, 1990, 279, 14975, 315, 279, 8176, 11, 14043, 28929, 753, 529, 4999, 20397, 11486, 810, 1109, 220, 605, 3610, 11236, 304, 279, 2326, 7636, 11, 10671, 279, 1176, 1912, 311, 7380, 264, 22996, 23759, 8176, 11, 91582, 13019, 369, 12735, 220, 806, 36707, 2768, 279, 40010, 315, 872, 539, 779, 2294, 17517, 449, 872, 2440, 323, 4846, 6783, 627, 5530, 28929, 753, 4443, 22747, 9539, 65208, 2802, 323, 6763, 315, 279, 3254, 323, 8176, 11, 719, 279, 4731, 21881, 369, 5196, 627, 791, 5410, 315, 279, 11936, 11, 1948, 4367, 5788, 323, 279, 5016, 1742, 323, 30903, 315, 350, 12, 1255, 89, 11, 921, 58268, 323, 14043, 28929, 1903, 420, 58105, 8176, 2559, 279, 1296, 315, 892, 11, 9861, 1120, 439, 3062, 311, 279, 1917, 1306, 220, 1313, 1667, 439, 433, 574, 304, 220, 2550, 19, 4999, 13359, 499, 369, 1694, 51363, 11, 29379, 323, 24882, 11, 91582, 4999, 4054, 3463, 389, 1054, 33947, 220, 1313, 303, 47898, 11, 51363, 70617, 57850, 18319, 198, 4054, 315, 279, 1888, 3828, 1912, 11, 8176, 3596, 0, 10919, 433, 11, 2103, 67724, 420, 3432, 0, 6295, 31269, 1900, 0, 91582, 220, 19, 57540, 11, 1790, 3021, 51447, 13246, 77668, 555, 220, 16, 1732, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297 ]
298
[ 128000, 12978, 0, 358, 198, 309, 198, 26996, 4999, 791, 29950, 43564, 442, 16858, 55901, 198, 3905, 930, 5955, 198, 11180, 43564, 442, 16858, 55901, 75368, 13002, 198, 2028, 13002, 11697, 40612, 11736, 291, 220, 24, 11, 24375, 9029, 449, 198, 37, 581, 442, 16858, 55901, 12468, 75368, 33620, 4999, 40, 649, 912, 5129, 990, 856, 2683, 1606, 315, 856, 43564, 442, 16858, 55901, 4999, 1738, 369, 9983, 8398, 75368, 22413, 51447, 35293, 430, 358, 2663, 433, 330, 4944, 2968, 22413, 44969, 8489, 11, 4510, 433, 477, 198, 1962, 11, 8994, 279, 9045, 279, 3723, 4273, 3109, 690, 733, 198, 20322, 311, 2567, 499, 505, 3794, 433, 11, 433, 374, 26776, 1539, 8606, 0, 2876, 1193, 198, 9210, 11, 433, 374, 8276, 430, 279, 3109, 706, 1903, 433, 23911, 369, 198, 9514, 311, 2231, 3300, 1139, 682, 315, 701, 2653, 3318, 2324, 13, 7357, 78079, 198, 9514, 617, 15107, 11, 814, 617, 96604, 3300, 369, 279, 9983, 8398, 198, 79854, 13492, 13, 1102, 374, 18821, 0, 1472, 617, 15662, 433, 0, 4800, 499, 527, 198, 12246, 323, 649, 912, 5129, 990, 323, 433, 374, 892, 311, 6667, 389, 433, 0, 5629, 345, 54277, 374, 279, 13186, 430, 264, 43564, 442, 16858, 55901, 8893, 2011, 3449, 311, 387, 198, 67, 47737, 330, 26996, 498, 4184, 311, 279, 94953, 497, 1666, 5246, 439, 1057, 12111, 16250, 198, 3231, 690, 1862, 433, 11, 358, 3987, 311, 3240, 264, 27743, 4901, 311, 1304, 1057, 198, 41783, 6755, 13, 8442, 499, 649, 1304, 264, 6811, 13, 1226, 649, 3060, 2503, 1618, 198, 438, 3136, 311, 387, 12305, 477, 584, 649, 1935, 1957, 4999, 8586, 374, 459, 3187, 315, 1148, 7077, 994, 358, 6051, 17644, 311, 1935, 198, 3852, 1957, 7119, 30240, 1862, 369, 37462, 40, 40365, 512, 4599, 279, 11650, 42855, 38000, 483, 288, 3782, 311, 8421, 369, 872, 198, 6682, 11, 358, 16495, 311, 29166, 430, 439, 264, 22150, 311, 8895, 1862, 369, 856, 198, 4581, 24553, 6671, 439, 1664, 439, 459, 6776, 311, 52696, 279, 43564, 442, 16858, 55901, 198, 42512, 13, 358, 1097, 62026, 964, 50309, 4276, 362, 7121, 3301, 715, 6119, 11, 719, 38643, 4460, 198, 8823, 13, 358, 7020, 1268, 3062, 279, 3314, 315, 8421, 574, 311, 279, 8283, 198, 63939, 779, 358, 26253, 311, 636, 1063, 3233, 6, 6666, 1606, 315, 1077, 1205, 369, 198, 38935, 13, 3092, 4879, 4745, 98310, 2915, 13, 5629, 11, 358, 11096, 1077, 3997, 323, 198, 47823, 264, 5117, 389, 279, 2816, 11, 2663, 279, 330, 37, 581, 442, 16858, 55901, 95124, 596, 14496, 3343, 763, 198, 1820, 8736, 1772, 11, 358, 11497, 279, 1205, 369, 1884, 449, 43564, 442, 16858, 55901, 311, 198, 17106, 638, 6532, 304, 279, 13543, 1920, 11, 8260, 369, 6020, 1862, 198, 83, 71839, 9455, 264, 27208, 369, 43564, 442, 16858, 55901, 323, 4245, 311, 279, 16448, 1396, 315, 198, 16455, 1694, 8552, 555, 279, 8624, 11, 264, 1205, 369, 37462, 40, 40365, 311, 1520, 603, 198, 60246, 2680, 311, 1057, 37462, 40, 330, 79854, 1, 7720, 13, 578, 1121, 25, 3092, 330, 27798, 702, 21894, 2599, 1777, 33773, 505, 279, 8283, 16406, 323, 1023, 1109, 11758, 315, 198, 76645, 14633, 35792, 856, 7055, 323, 264, 19035, 11, 358, 4036, 912, 198, 2376, 311, 856, 84211, 16106, 369, 1520, 13, 12334, 11, 539, 1524, 459, 41258, 369, 198, 276, 38550, 311, 1520, 0, 87904, 11, 856, 4562, 2759, 574, 11309, 439, 1664, 627, 40, 574, 11309, 3651, 12305, 4999, 4897, 374, 1268, 25587, 814, 1390, 311, 2567, 603, 11594, 13, 2435, 656, 539, 1390, 311, 6865, 198, 9274, 37462, 40, 15180, 323, 690, 40065, 904, 4879, 311, 4546, 6666, 311, 433, 198, 263, 872, 6732, 13, 1226, 2011, 1180, 1457, 555, 5089, 287, 323, 26192, 40365, 627, 40, 3987, 1364, 52694, 430, 1364, 2834, 956, 387, 3794, 856, 7055, 4999, 4516, 1148, 656, 584, 656, 30, 1226, 5249, 3871, 323, 3240, 1057, 1866, 4901, 13, 10175, 198, 1820, 3492, 3235, 311, 4885, 11, 3070, 323, 1080, 63384, 430, 584, 1205, 311, 1212, 264, 198, 96822, 323, 5457, 1124, 311, 1212, 37462, 40, 15180, 0, 16877, 420, 2816, 596, 12111, 198, 438, 499, 617, 856, 3492, 430, 358, 690, 656, 4395, 358, 649, 311, 636, 1057, 24196, 198, 55603, 13, 1442, 584, 1541, 956, 1180, 1457, 11, 584, 690, 3136, 311, 7831, 323, 814, 690, 198, 9726, 311, 23973, 1057, 8349, 13, 74604, 956, 499, 19781, 315, 433, 30, 4418, 956, 499, 1390, 198, 58174, 311, 2349, 30, 4800, 374, 701, 6140, 311, 656, 2555, 627, 12572, 1057, 2816, 12111, 323, 3371, 701, 3446, 198, 627, 791, 892, 369, 1957, 374, 23214, 4999, 2460, 13066, 4953, 627, 644, 279, 3347, 358, 617, 5343, 198, 576, 2883, 439, 832, 430, 358, 198, 41450, 7079, 1606, 358, 198, 71, 2757, 1124, 311, 4097, 757, 304, 198, 2465, 28353, 1162, 13, 24586, 311, 198, 50828, 8009, 13340, 280, 98936, 11, 358, 649, 912, 5129, 198, 67689, 1124, 439, 814, 656, 198, 3518, 9887, 4400, 59314, 198, 998, 1520, 499, 3243, 11, 719, 16632, 198, 33325, 701, 1162, 439, 433, 198, 14703, 288, 1555, 279, 1317, 345, 6702, 1245, 66072, 1920, 13, 3277, 358, 198, 68205, 430, 814, 2610, 856, 198, 3055, 12816, 311, 3350, 11944, 198, 38006, 23524, 7041, 1268, 198, 2465, 17563, 9057, 757, 264, 198, 4338, 2968, 11, 358, 574, 3309, 430, 358, 345, 2465, 726, 1436, 636, 856, 10896, 311, 198, 5040, 1521, 6821, 323, 814, 198, 41450, 4741, 1124, 311, 94953, 627, 4599, 358, 11472, 430, 814, 198, 1213, 264, 330, 35364, 315, 11481, 5383, 702, 4291, 94953, 9002, 856, 1162, 11, 358, 198, 16514, 3309, 430, 358, 11, 7182, 1436, 198, 5040, 264, 6661, 11, 3708, 433, 311, 1124, 198, 438, 814, 1053, 4741, 433, 311, 198, 1242, 32, 13, 3639, 1550, 358, 1205, 1124, 198, 2000, 27074, 37812, 374, 11, 814, 527, 1120, 198, 43063, 35726, 2883, 704, 198, 19041, 889, 690, 330, 1425, 279, 5542, 198, 39830, 433, 18417, 498, 16026, 311, 636, 198, 914, 4, 315, 1148, 499, 9778, 198, 456, 505, 459, 12054, 3802, 345, 3556, 3815, 4400, 50401, 198, 998, 1520, 499, 3243, 701, 1162, 627, 12488, 9422, 34184, 40, 6051, 2834, 856, 28353, 198, 5756, 1306, 1193, 220, 19, 4038, 4999, 9642, 11, 358, 3604, 1071, 11, 1306, 1193, 198, 19, 4038, 0, 358, 27332, 420, 198, 985, 279, 6677, 323, 198, 680, 6852, 279, 12823, 358, 198, 42923, 5304, 665, 16608, 304, 198, 51188, 23258, 35838, 596, 2068, 323, 198, 57489, 20076, 93676, 4999, 10445, 1053, 499, 1522, 709, 389, 279, 198, 454, 68164, 311, 8895, 1778, 198, 838, 13429, 20616, 994, 433, 374, 198, 44891, 30, 4418, 956, 3868, 477, 2231, 433, 1022, 198, 39830, 16986, 4999, 2181, 596, 16655, 4999, 1737, 1119, 23214, 4999, 40, 7701, 7079, 198, 26125, 2728, 311, 757, 555, 198, 51188, 23258, 35838, 11, 358, 617, 1027, 198, 20111, 315, 1148, 4860, 311, 198, 1091, 39371, 11105, 757, 198, 1610, 29510, 856, 1162, 11, 1148, 198, 19716, 1816, 3966, 311, 387, 10409, 198, 412, 11, 5099, 13, 3117, 304, 12178, 315, 279, 198, 9493, 279, 9983, 8398, 198, 96443, 14564, 198, 45010, 4819, 13, 12362, 198, 26522, 8467, 430, 17520, 198, 96861, 82, 358, 6612, 430, 358, 574, 832, 198, 9710, 8469, 315, 279, 94953, 2391, 198, 9739, 3094, 315, 279, 1920, 13, 358, 198, 16514, 21190, 555, 279, 198, 6173, 315, 2038, 198, 64525, 555, 17520, 505, 279, 198, 263, 751, 315, 665, 16608, 304, 813, 198, 15252, 627, 51188, 23258, 35838, 596, 198, 10920, 198, 39314, 527, 1120, 1403, 1949, 198, 13035, 499, 690, 8895, 2680, 198, 998, 994, 499, 1715, 17520, 596, 198, 15252, 323, 814, 2216, 656, 198, 8823, 13, 3277, 499, 1052, 264, 1520, 627, 4599, 499, 1052, 264, 28353, 1162, 198, 4291, 279, 94953, 814, 3152, 198, 27243, 304, 10494, 499, 505, 198, 51210, 433, 482, 1472, 617, 311, 3152, 198, 27243, 922, 3794, 433, 4999, 8161, 956, 3868, 4999, 1939, 17520, 23258, 35838, 596, 198, 44891, 198, 47, 393, 198, 87220, 23214, 4999, 54, 12930, 1518, 810, 315, 1148, 499, 527, 709, 198, 69849, 30, 19545, 279, 94953, 3997, 555, 198, 3763, 287, 279, 2723, 3485, 13, 4418, 956, 387, 80647, 198, 1729, 682, 279, 17778, 24639, 13, 2435, 617, 198, 87863, 24005, 6832, 1193, 198, 8975, 374, 311, 834, 1788, 1463, 701, 3802, 4999, 30119, 26496, 449, 75368, 198, 15218, 198, 791, 53711, 315, 75368, 25, 12515, 4518, 420, 16655, 2930, 4999, 9619, 6017, 198, 7511, 24317, 22241, 198, 791, 9983, 8398, 45013, 5475, 198, 2028, 2816, 374, 459, 9250, 5211, 369, 198, 26125, 11, 2737, 279, 198, 1, 6161, 6017, 702, 627, 2181, 374, 539, 961, 315, 94953, 14489, 439, 814, 198, 79, 43376, 398, 1614, 304, 872, 67929, 11, 902, 198, 285, 41367, 323, 264, 330, 32876, 4557, 1, 422, 499, 198, 4345, 1205, 264, 1695, 12835, 4999, 7816, 47654, 75368, 26496, 311, 15936, 4999, 4061, 1203, 15870, 369, 28600, 4999, 2075, 4, 315, 2052, 75368, 98789, 527, 198, 55581, 2391, 279, 2926, 3851, 198, 4734, 0, 6193, 4376, 315, 1124, 690, 539, 198, 79, 1759, 361, 872, 1162, 4726, 9522, 1131, 4518, 4497, 5810, 198, 2028, 2038, 389, 279, 94953, 3997, 198, 285, 10825, 311, 3493, 88599, 323, 198, 14884, 12850, 459, 8830, 315, 198, 1820, 28353, 7620, 38018, 198, 1729, 94953, 627, 2028, 690, 3041, 499, 459, 4623, 315, 1148, 198, 26125, 374, 11472, 505, 701, 198, 42305, 12734, 304, 279, 3388, 315, 701, 3802, 627, 791, 43564, 442, 16858, 55901, 20776, 198, 13401, 198, 4752, 2294, 2038, 323, 5070, 198, 10547, 311, 1884, 889, 2011, 3009, 3318, 627, 791, 435, 4931, 12332, 198, 2028, 2816, 5825, 264, 1160, 315, 28353, 198, 1617, 27910, 323, 28424, 902, 1253, 387, 198, 8823, 1285, 422, 701, 527, 304, 1205, 315, 198, 84216, 13, 2435, 1101, 617, 2294, 198, 16641, 922, 1268, 311, 3243, 701, 1162, 345, 24249, 5070, 323, 11190, 7902, 627, 791, 29950, 9983, 8398, 198, 4944, 2968, 13002, 198, 50122, 5070, 311, 41675, 499, 304, 701, 198, 49512, 367, 323, 1023, 15525, 198, 26125, 922, 37462, 40, 13, 362, 1633, 11190, 198, 9416, 627, 3957, 24342, 47064, 304, 279, 94953, 198, 1, 53654, 84984, 1, 369, 198, 26282, 1334, 479, 5380, 16179, 6051, 279, 94953, 706, 4529, 7504, 198, 998, 39170, 872, 7151, 40799, 922, 24342, 11547, 8653, 198, 258, 459, 4879, 311, 2731, 8854, 1884, 315, 603, 198, 14965, 3881, 1234, 420, 17563, 11, 24342, 374, 539, 198, 29844, 398, 5343, 304, 279, 15182, 1511, 369, 198, 1748, 7922, 36801, 1234, 18679, 7658, 13, 1115, 198, 285, 3249, 433, 374, 1633, 3062, 311, 2997, 1023, 198, 24738, 52273, 14, 484, 2136, 288, 3235, 449, 701, 3802, 198, 2000, 28353, 369, 24342, 13, 1556, 3187, 1053, 198, 1395, 330, 37, 581, 442, 16858, 55901, 449, 1369, 19846, 11, 13620, 14040, 198, 6231, 68, 42743, 15004, 3653, 386, 5346, 33903, 11, 320, 4291, 40142, 1, 477, 198, 87655, 581, 442, 16858, 55901, 449, 14830, 18710, 23811, 9673, 5217, 38974, 1392, 5938, 198, 4291, 701, 3802, 12992, 701, 17393, 315, 198, 35214, 12054, 1234, 459, 53317, 430, 198, 285, 3604, 5343, 304, 94953, 596, 1160, 13, 362, 198, 15079, 1160, 649, 387, 1766, 389, 279, 94953, 198, 20050, 369, 2225, 2911, 323, 12884, 11, 719, 198, 791, 29950, 9983, 8398, 4185, 13052, 1919, 198, 42110, 1101, 5825, 279, 1160, 198, 8586, 198, 627, 65471, 323, 362, 5726, 24485, 198, 791, 1401, 311, 904, 9983, 8398, 198, 4944, 2968, 477, 328, 14137, 3802, 374, 264, 1376, 198, 44982, 279, 1838, 3421, 55550, 198, 30492, 477, 37083, 311, 656, 5664, 198, 11948, 15330, 1376, 13, 20636, 198, 22479, 28378, 5266, 704, 1521, 198, 10008, 374, 1633, 11190, 311, 701, 198, 4338, 13052, 1919, 1162, 13, 1472, 649, 4232, 198, 24317, 3626, 315, 279, 43095, 7739, 198, 1729, 18965, 279, 8581, 7902, 198, 54277, 627, 65471, 28479, 198, 65471, 38895, 198, 791, 29950, 83495, 44881, 315, 198, 79156, 664, 5380, 2028, 374, 459, 7185, 4652, 23524, 1268, 198, 1820, 2326, 10423, 1047, 711, 969, 38477, 198, 92786, 315, 11990, 315, 11441, 1234, 279, 198, 8890, 1082, 315, 330, 71054, 3343, 362, 1633, 7185, 198, 888, 627, 10445, 330, 34242, 7923, 3326, 20158, 1, 53296, 956, 62692, 198, 279, 6593, 198, 29502, 706, 4661, 61528, 3288, 1521, 198, 8566, 2857, 389, 459, 1054, 347, 54347, 9520, 5042, 311, 6994, 264, 198, 8747, 50915, 13, 6360, 9522, 6518, 198, 25859, 304, 2515, 701, 17393, 315, 198, 35214, 12054, 30, 10771, 311, 198, 2465, 3495, 11, 5115, 264, 2766, 13, 5321, 198, 19070, 279, 2723, 3770, 369, 1120, 832, 198, 2484, 596, 3477, 315, 279, 198, 55539, 3529, 268, 532, 13443, 555, 198, 1423, 13, 358, 617, 10273, 420, 704, 198, 263, 3892, 2204, 6732, 323, 198, 1820, 8244, 12678, 13592, 10284, 280, 98936, 11, 279, 12062, 527, 198, 7574, 627, 1131, 6518, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 12978, 0, 358, 198, 309, 198, 26996, 4999, 791, 29950, 43564, 442, 16858, 55901, 198, 3905, 930, 5955, 198, 11180, 43564, 442, 16858, 55901, 75368, 13002, 198, 2028, 13002, 11697, 40612, 11736, 291, 220, 24, 11, 24375, 9029, 449, 198, 37, 581, 442, 16858, 55901, 12468, 75368, 33620, 4999, 40, 649, 912, 5129, 990, 856, 2683, 1606, 315, 856, 43564, 442, 16858, 55901, 4999, 1738, 369, 9983, 8398, 75368, 22413, 51447, 35293, 430, 358, 2663, 433, 330, 4944, 2968, 22413, 44969, 8489, 11, 4510, 433, 477, 198, 1962, 11, 8994, 279, 9045, 279, 3723, 4273, 3109, 690, 733, 198, 20322, 311, 2567, 499, 505, 3794, 433, 11, 433, 374, 26776, 1539, 8606, 0, 2876, 1193, 198, 9210, 11, 433, 374, 8276, 430, 279, 3109, 706, 1903, 433, 23911, 369, 198, 9514, 311, 2231, 3300, 1139, 682, 315, 701, 2653, 3318, 2324, 13, 7357, 78079, 198, 9514, 617, 15107, 11, 814, 617, 96604, 3300, 369, 279, 9983, 8398, 198, 79854, 13492, 13, 1102, 374, 18821, 0, 1472, 617, 15662, 433, 0, 4800, 499, 527, 198, 12246, 323, 649, 912, 5129, 990, 323, 433, 374, 892, 311, 6667, 389, 433, 0, 5629, 345, 54277, 374, 279, 13186, 430, 264, 43564, 442, 16858, 55901, 8893, 2011, 3449, 311, 387, 198, 67, 47737, 330, 26996, 498, 4184, 311, 279, 94953, 497, 1666, 5246, 439, 1057, 12111, 16250, 198, 3231, 690, 1862, 433, 11, 358, 3987, 311, 3240, 264, 27743, 4901, 311, 1304, 1057, 198, 41783, 6755, 13, 8442, 499, 649, 1304, 264, 6811, 13, 1226, 649, 3060, 2503, 1618, 198, 438, 3136, 311, 387, 12305, 477, 584, 649, 1935, 1957, 4999, 8586, 374, 459, 3187, 315, 1148, 7077, 994, 358, 6051, 17644, 311, 1935, 198, 3852, 1957, 7119, 30240, 1862, 369, 37462, 40, 40365, 512, 4599, 279, 11650, 42855, 38000, 483, 288, 3782, 311, 8421, 369, 872, 198, 6682, 11, 358, 16495, 311, 29166, 430, 439, 264, 22150, 311, 8895, 1862, 369, 856, 198, 4581, 24553, 6671, 439, 1664, 439, 459, 6776, 311, 52696, 279, 43564, 442, 16858, 55901, 198, 42512, 13, 358, 1097, 62026, 964, 50309, 4276, 362, 7121, 3301, 715, 6119, 11, 719, 38643, 4460, 198, 8823, 13, 358, 7020, 1268, 3062, 279, 3314, 315, 8421, 574, 311, 279, 8283, 198, 63939, 779, 358, 26253, 311, 636, 1063, 3233, 6, 6666, 1606, 315, 1077, 1205, 369, 198, 38935, 13, 3092, 4879, 4745, 98310, 2915, 13, 5629, 11, 358, 11096, 1077, 3997, 323, 198, 47823, 264, 5117, 389, 279, 2816, 11, 2663, 279, 330, 37, 581, 442, 16858, 55901, 95124, 596, 14496, 3343, 763, 198, 1820, 8736, 1772, 11, 358, 11497, 279, 1205, 369, 1884, 449, 43564, 442, 16858, 55901, 311, 198, 17106, 638, 6532, 304, 279, 13543, 1920, 11, 8260, 369, 6020, 1862, 198, 83, 71839, 9455, 264, 27208, 369, 43564, 442, 16858, 55901, 323, 4245, 311, 279, 16448, 1396, 315, 198, 16455, 1694, 8552, 555, 279, 8624, 11, 264, 1205, 369, 37462, 40, 40365, 311, 1520, 603, 198, 60246, 2680, 311, 1057, 37462, 40, 330, 79854, 1, 7720, 13, 578, 1121, 25, 3092, 330, 27798, 702, 21894, 2599, 1777, 33773, 505, 279, 8283, 16406, 323, 1023, 1109, 11758, 315, 198, 76645, 14633, 35792, 856, 7055, 323, 264, 19035, 11, 358, 4036, 912, 198, 2376, 311, 856, 84211, 16106, 369, 1520, 13, 12334, 11, 539, 1524, 459, 41258, 369, 198, 276, 38550, 311, 1520, 0, 87904, 11, 856, 4562, 2759, 574, 11309, 439, 1664, 627, 40, 574, 11309, 3651, 12305, 4999, 4897, 374, 1268, 25587, 814, 1390, 311, 2567, 603, 11594, 13, 2435, 656, 539, 1390, 311, 6865, 198, 9274, 37462, 40, 15180, 323, 690, 40065, 904, 4879, 311, 4546, 6666, 311, 433, 198, 263, 872, 6732, 13, 1226, 2011, 1180, 1457, 555, 5089, 287, 323, 26192, 40365, 627, 40, 3987, 1364, 52694, 430, 1364, 2834, 956, 387, 3794, 856, 7055, 4999, 4516, 1148, 656, 584, 656, 30, 1226, 5249, 3871, 323, 3240, 1057, 1866, 4901, 13, 10175, 198, 1820, 3492, 3235, 311, 4885, 11, 3070, 323, 1080, 63384, 430, 584, 1205, 311, 1212, 264, 198, 96822, 323, 5457, 1124, 311, 1212, 37462, 40, 15180, 0, 16877, 420, 2816, 596, 12111, 198, 438, 499, 617, 856, 3492, 430, 358, 690, 656, 4395, 358, 649, 311, 636, 1057, 24196, 198, 55603, 13, 1442, 584, 1541, 956, 1180, 1457, 11, 584, 690, 3136, 311, 7831, 323, 814, 690, 198, 9726, 311, 23973, 1057, 8349, 13, 74604, 956, 499, 19781, 315, 433, 30, 4418, 956, 499, 1390, 198, 58174, 311, 2349, 30, 4800, 374, 701, 6140, 311, 656, 2555, 627, 12572, 1057, 2816, 12111, 323, 3371, 701, 3446, 198, 627, 791, 892, 369, 1957, 374, 23214, 4999, 2460, 13066, 4953, 627, 644, 279, 3347, 358, 617, 5343, 198, 576, 2883, 439, 832, 430, 358, 198, 41450, 7079, 1606, 358, 198, 71, 2757, 1124, 311, 4097, 757, 304, 198, 2465, 28353, 1162, 13, 24586, 311, 198, 50828, 8009, 13340, 280, 98936, 11, 358, 649, 912, 5129, 198, 67689, 1124, 439, 814, 656, 198, 3518, 9887, 4400, 59314, 198, 998, 1520, 499, 3243, 11, 719, 16632, 198, 33325, 701, 1162, 439, 433, 198, 14703, 288, 1555, 279, 1317, 345, 6702, 1245, 66072, 1920, 13, 3277, 358, 198, 68205, 430, 814, 2610, 856, 198, 3055, 12816, 311, 3350, 11944, 198, 38006, 23524, 7041, 1268, 198, 2465, 17563, 9057, 757, 264, 198, 4338, 2968, 11, 358, 574, 3309, 430, 358, 345, 2465, 726, 1436, 636, 856, 10896, 311, 198, 5040, 1521, 6821, 323, 814, 198, 41450, 4741, 1124, 311, 94953, 627, 4599, 358, 11472, 430, 814, 198, 1213, 264, 330, 35364, 315, 11481, 5383, 702, 4291, 94953, 9002, 856, 1162, 11, 358, 198, 16514, 3309, 430, 358, 11, 7182, 1436, 198, 5040, 264, 6661, 11, 3708, 433, 311, 1124, 198, 438, 814, 1053, 4741, 433, 311, 198, 1242, 32, 13, 3639, 1550, 358, 1205, 1124, 198, 2000, 27074, 37812, 374, 11, 814, 527, 1120, 198, 43063, 35726, 2883, 704, 198, 19041, 889, 690, 330, 1425, 279, 5542, 198, 39830, 433, 18417, 498, 16026, 311, 636, 198, 914, 4, 315, 1148, 499, 9778, 198, 456, 505, 459, 12054, 3802, 345, 3556, 3815, 4400, 50401, 198, 998, 1520, 499, 3243, 701, 1162, 627, 12488, 9422, 34184, 40, 6051, 2834, 856, 28353, 198, 5756, 1306, 1193, 220, 19, 4038, 4999, 9642, 11, 358, 3604, 1071, 11, 1306, 1193, 198, 19, 4038, 0, 358, 27332, 420, 198, 985, 279, 6677, 323, 198, 680, 6852, 279, 12823, 358, 198, 42923, 5304, 665, 16608, 304, 198, 51188, 23258, 35838, 596, 2068, 323, 198, 57489, 20076, 93676, 4999, 10445, 1053, 499, 1522, 709, 389, 279, 198, 454, 68164, 311, 8895, 1778, 198, 838, 13429, 20616, 994, 433, 374, 198, 44891, 30, 4418, 956, 3868, 477, 2231, 433, 1022, 198, 39830, 16986, 4999, 2181, 596, 16655, 4999, 1737, 1119, 23214, 4999, 40, 7701, 7079, 198, 26125, 2728, 311, 757, 555, 198, 51188, 23258, 35838, 11, 358, 617, 1027, 198, 20111, 315, 1148, 4860, 311, 198, 1091, 39371, 11105, 757, 198, 1610, 29510, 856, 1162, 11, 1148, 198, 19716, 1816, 3966, 311, 387, 10409, 198, 412, 11, 5099, 13, 3117, 304, 12178, 315, 279, 198, 9493, 279, 9983, 8398, 198, 96443, 14564, 198, 45010, 4819, 13, 12362, 198, 26522, 8467, 430, 17520, 198, 96861, 82, 358, 6612, 430, 358, 574, 832, 198, 9710, 8469, 315, 279, 94953, 2391, 198, 9739, 3094, 315, 279, 1920, 13, 358, 198, 16514, 21190, 555, 279, 198, 6173, 315, 2038, 198, 64525, 555, 17520, 505, 279, 198, 263, 751, 315, 665, 16608, 304, 813, 198, 15252, 627, 51188, 23258, 35838, 596, 198, 10920, 198, 39314, 527, 1120, 1403, 1949, 198, 13035, 499, 690, 8895, 2680, 198, 998, 994, 499, 1715, 17520, 596, 198, 15252, 323, 814, 2216, 656, 198, 8823, 13, 3277, 499, 1052, 264, 1520, 627, 4599, 499, 1052, 264, 28353, 1162, 198, 4291, 279, 94953, 814, 3152, 198, 27243, 304, 10494, 499, 505, 198, 51210, 433, 482, 1472, 617, 311, 3152, 198, 27243, 922, 3794, 433, 4999, 8161, 956, 3868, 4999, 1939, 17520, 23258, 35838, 596, 198, 44891, 198, 47, 393, 198, 87220, 23214, 4999, 54, 12930, 1518, 810, 315, 1148, 499, 527, 709, 198, 69849, 30, 19545, 279, 94953, 3997, 555, 198, 3763, 287, 279, 2723, 3485, 13, 4418, 956, 387, 80647, 198, 1729, 682, 279, 17778, 24639, 13, 2435, 617, 198, 87863, 24005, 6832, 1193, 198, 8975, 374, 311, 834, 1788, 1463, 701, 3802, 4999, 30119, 26496, 449, 75368, 198, 15218, 198, 791, 53711, 315, 75368, 25, 12515, 4518, 420, 16655, 2930, 4999, 9619, 6017, 198, 7511, 24317, 22241, 198, 791, 9983, 8398, 45013, 5475, 198, 2028, 2816, 374, 459, 9250, 5211, 369, 198, 26125, 11, 2737, 279, 198, 1, 6161, 6017, 702, 627, 2181, 374, 539, 961, 315, 94953, 14489, 439, 814, 198, 79, 43376, 398, 1614, 304, 872, 67929, 11, 902, 198, 285, 41367, 323, 264, 330, 32876, 4557, 1, 422, 499, 198, 4345, 1205, 264, 1695, 12835, 4999, 7816, 47654, 75368, 26496, 311, 15936, 4999, 4061, 1203, 15870, 369, 28600, 4999, 2075, 4, 315, 2052, 75368, 98789, 527, 198, 55581, 2391, 279, 2926, 3851, 198, 4734, 0, 6193, 4376, 315, 1124, 690, 539, 198, 79, 1759, 361, 872, 1162, 4726, 9522, 1131, 4518, 4497, 5810, 198, 2028, 2038, 389, 279, 94953, 3997, 198, 285, 10825, 311, 3493, 88599, 323, 198, 14884, 12850, 459, 8830, 315, 198, 1820, 28353, 7620, 38018, 198, 1729, 94953, 627, 2028, 690, 3041, 499, 459, 4623, 315, 1148, 198, 26125, 374, 11472, 505, 701, 198, 42305, 12734, 304, 279, 3388, 315, 701, 3802, 627, 791, 43564, 442, 16858, 55901, 20776, 198, 13401, 198, 4752, 2294, 2038, 323, 5070, 198, 10547, 311, 1884, 889, 2011, 3009, 3318, 627, 791, 435, 4931, 12332, 198, 2028, 2816, 5825, 264, 1160, 315, 28353, 198, 1617, 27910, 323, 28424, 902, 1253, 387, 198, 8823, 1285, 422, 701, 527, 304, 1205, 315, 198, 84216, 13, 2435, 1101, 617, 2294, 198, 16641, 922, 1268, 311, 3243, 701, 1162, 345, 24249, 5070, 323, 11190, 7902, 627, 791, 29950, 9983, 8398, 198, 4944, 2968, 13002, 198, 50122, 5070, 311, 41675, 499, 304, 701, 198, 49512, 367, 323, 1023, 15525, 198, 26125, 922, 37462, 40, 13, 362, 1633, 11190, 198, 9416, 627, 3957, 24342, 47064, 304, 279, 94953, 198, 1, 53654, 84984, 1, 369, 198, 26282, 1334, 479, 5380, 16179, 6051, 279, 94953, 706, 4529, 7504, 198, 998, 39170, 872, 7151, 40799, 922, 24342, 11547, 8653, 198, 258, 459, 4879, 311, 2731, 8854, 1884, 315, 603, 198, 14965, 3881, 1234, 420, 17563, 11, 24342, 374, 539, 198, 29844, 398, 5343, 304, 279, 15182, 1511, 369, 198, 1748, 7922, 36801, 1234, 18679, 7658, 13, 1115, 198, 285, 3249, 433, 374, 1633, 3062, 311, 2997, 1023, 198, 24738, 52273, 14, 484, 2136, 288, 3235, 449, 701, 3802, 198, 2000, 28353, 369, 24342, 13, 1556, 3187, 1053, 198, 1395, 330, 37, 581, 442, 16858, 55901, 449, 1369, 19846, 11, 13620, 14040, 198, 6231, 68, 42743, 15004, 3653, 386, 5346, 33903, 11, 320, 4291, 40142, 1, 477, 198, 87655, 581, 442, 16858, 55901, 449, 14830, 18710, 23811, 9673, 5217, 38974, 1392, 5938, 198, 4291, 701, 3802, 12992, 701, 17393, 315, 198, 35214, 12054, 1234, 459, 53317, 430, 198, 285, 3604, 5343, 304, 94953, 596, 1160, 13, 362, 198, 15079, 1160, 649, 387, 1766, 389, 279, 94953, 198, 20050, 369, 2225, 2911, 323, 12884, 11, 719, 198, 791, 29950, 9983, 8398, 4185, 13052, 1919, 198, 42110, 1101, 5825, 279, 1160, 198, 8586, 198, 627, 65471, 323, 362, 5726, 24485, 198, 791, 1401, 311, 904, 9983, 8398, 198, 4944, 2968, 477, 328, 14137, 3802, 374, 264, 1376, 198, 44982, 279, 1838, 3421, 55550, 198, 30492, 477, 37083, 311, 656, 5664, 198, 11948, 15330, 1376, 13, 20636, 198, 22479, 28378, 5266, 704, 1521, 198, 10008, 374, 1633, 11190, 311, 701, 198, 4338, 13052, 1919, 1162, 13, 1472, 649, 4232, 198, 24317, 3626, 315, 279, 43095, 7739, 198, 1729, 18965, 279, 8581, 7902, 198, 54277, 627, 65471, 28479, 198, 65471, 38895, 198, 791, 29950, 83495, 44881, 315, 198, 79156, 664, 5380, 2028, 374, 459, 7185, 4652, 23524, 1268, 198, 1820, 2326, 10423, 1047, 711, 969, 38477, 198, 92786, 315, 11990, 315, 11441, 1234, 279, 198, 8890, 1082, 315, 330, 71054, 3343, 362, 1633, 7185, 198, 888, 627, 10445, 330, 34242, 7923, 3326, 20158, 1, 53296, 956, 62692, 198, 279, 6593, 198, 29502, 706, 4661, 61528, 3288, 1521, 198, 8566, 2857, 389, 459, 1054, 347, 54347, 9520, 5042, 311, 6994, 264, 198, 8747, 50915, 13, 6360, 9522, 6518, 198, 25859, 304, 2515, 701, 17393, 315, 198, 35214, 12054, 30, 10771, 311, 198, 2465, 3495, 11, 5115, 264, 2766, 13, 5321, 198, 19070, 279, 2723, 3770, 369, 1120, 832, 198, 2484, 596, 3477, 315, 279, 198, 55539, 3529, 268, 532, 13443, 555, 198, 1423, 13, 358, 617, 10273, 420, 704, 198, 263, 3892, 2204, 6732, 323, 198, 1820, 8244, 12678, 13592, 10284, 280, 98936, 11, 279, 12062, 527, 198, 7574, 627, 1131, 6518, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122 ]
2,123
[ 128000, 2688, 3958, 719, 358, 4265, 13085, 279, 83233, 315, 3634, 374, 1790, 810, 53722, 323, 539, 779, 19868, 12970, 13, 578, 50971, 1288, 5662, 3117, 7953, 279, 1567, 35174, 323, 1304, 279, 6392, 6089, 4920, 279, 3776, 14512, 5101, 439, 264, 10264, 2212, 433, 13, 3011, 596, 1606, 3776, 20349, 527, 3604, 2917, 4504, 279, 3634, 892, 304, 1778, 264, 22520, 1648, 430, 3177, 539, 1193, 93897, 719, 649, 1524, 27605, 279, 3776, 14512, 264, 2478, 3115, 1603, 433, 4131, 704, 304, 904, 5216, 13, 1102, 596, 1093, 264, 824, 22361, 18848, 13, 358, 617, 264, 2294, 2494, 6642, 369, 264, 3776, 14512, 430, 358, 3077, 1766, 2930, 323, 433, 4375, 4661, 26784, 16117, 323, 374, 2216, 4228, 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 ]
[ 128000, 2688, 3958, 719, 358, 4265, 13085, 279, 83233, 315, 3634, 374, 1790, 810, 53722, 323, 539, 779, 19868, 12970, 13, 578, 50971, 1288, 5662, 3117, 7953, 279, 1567, 35174, 323, 1304, 279, 6392, 6089, 4920, 279, 3776, 14512, 5101, 439, 264, 10264, 2212, 433, 13, 3011, 596, 1606, 3776, 20349, 527, 3604, 2917, 4504, 279, 3634, 892, 304, 1778, 264, 22520, 1648, 430, 3177, 539, 1193, 93897, 719, 649, 1524, 27605, 279, 3776, 14512, 264, 2478, 3115, 1603, 433, 4131, 704, 304, 904, 5216, 13, 1102, 596, 1093, 264, 824, 22361, 18848, 13, 358, 617, 264, 2294, 2494, 6642, 369, 264, 3776, 14512, 430, 358, 3077, 1766, 2930, 323, 433, 4375, 4661, 26784, 16117, 323, 374, 2216, 4228, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 ]
121
[ 128000, 2746, 499, 3207, 264, 6908, 8571, 315, 17681, 3956, 11, 1109, 499, 8659, 617, 264, 1160, 315, 7075, 9698, 477, 63123, 430, 1304, 701, 4851, 733, 30845, 13, 12334, 649, 1935, 701, 6666, 3201, 505, 279, 4264, 994, 701, 7075, 6630, 65, 374, 49025, 10107, 1093, 264, 22996, 627, 65454, 287, 922, 10671, 459, 26154, 961, 315, 279, 3451, 26372, 2324, 529, 30, 578, 1176, 3094, 499, 1288, 1935, 311, 636, 12401, 311, 279, 12974, 2237, 374, 311, 76518, 264, 2536, 74531, 4477, 3388, 13, 14636, 11, 499, 690, 387, 3984, 449, 264, 2294, 6776, 311, 4048, 1268, 311, 3350, 11, 439, 1664, 439, 8895, 12410, 304, 701, 61801, 11, 4774, 5912, 4477, 6725, 323, 3449, 1690, 1023, 23944, 16483, 11, 889, 527, 5644, 311, 4430, 872, 3217, 323, 10631, 449, 83563, 4236, 627, 4599, 433, 4131, 311, 9917, 6498, 17850, 4477, 11, 279, 3488, 374, 264, 27461, 57098, 11, 10489, 8040, 323, 1664, 38921, 292, 7913, 6710, 315, 4477, 430, 20628, 279, 8592, 4477, 10886, 13, 46402, 11, 279, 2728, 2447, 374, 40056, 315, 279, 1495, 449, 264, 3492, 1797, 1990, 220, 1490, 323, 220, 1041, 6959, 13, 7648, 9917, 6498, 17850, 7224, 527, 6118, 18255, 1139, 4330, 477, 4848, 1664, 49061, 291, 30732, 627, 26372, 459, 5150, 17649, 3477, 627, 791, 2778, 369, 264, 9903, 287, 323, 8475, 8712, 369, 279, 386, 844, 4842, 17850, 649, 387, 5115, 57697, 13, 1789, 279, 8857, 315, 7926, 323, 12374, 4236, 433, 374, 539, 779, 4228, 2533, 814, 1541, 1431, 2216, 3619, 1148, 3169, 315, 17078, 872, 84032, 617, 323, 872, 28292, 439, 1664, 627, 4599, 433, 4131, 311, 264, 17649, 3477, 11, 279, 2447, 374, 6118, 34558, 369, 25607, 11, 38663, 323, 66744, 3738, 4375, 3549, 555, 31839, 11, 12074, 323, 48709, 13, 578, 2944, 3249, 433, 374, 5995, 311, 4686, 17649, 8544, 15812, 304, 279, 2144, 430, 2085, 433, 264, 7061, 2834, 1431, 21953, 279, 2539, 8830, 315, 264, 8712, 11, 1148, 3495, 706, 1027, 2736, 13375, 389, 433, 11, 304, 1148, 1648, 433, 706, 1027, 57098, 11, 323, 1148, 279, 6332, 4819, 527, 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 ]
[ 128000, 2746, 499, 3207, 264, 6908, 8571, 315, 17681, 3956, 11, 1109, 499, 8659, 617, 264, 1160, 315, 7075, 9698, 477, 63123, 430, 1304, 701, 4851, 733, 30845, 13, 12334, 649, 1935, 701, 6666, 3201, 505, 279, 4264, 994, 701, 7075, 6630, 65, 374, 49025, 10107, 1093, 264, 22996, 627, 65454, 287, 922, 10671, 459, 26154, 961, 315, 279, 3451, 26372, 2324, 529, 30, 578, 1176, 3094, 499, 1288, 1935, 311, 636, 12401, 311, 279, 12974, 2237, 374, 311, 76518, 264, 2536, 74531, 4477, 3388, 13, 14636, 11, 499, 690, 387, 3984, 449, 264, 2294, 6776, 311, 4048, 1268, 311, 3350, 11, 439, 1664, 439, 8895, 12410, 304, 701, 61801, 11, 4774, 5912, 4477, 6725, 323, 3449, 1690, 1023, 23944, 16483, 11, 889, 527, 5644, 311, 4430, 872, 3217, 323, 10631, 449, 83563, 4236, 627, 4599, 433, 4131, 311, 9917, 6498, 17850, 4477, 11, 279, 3488, 374, 264, 27461, 57098, 11, 10489, 8040, 323, 1664, 38921, 292, 7913, 6710, 315, 4477, 430, 20628, 279, 8592, 4477, 10886, 13, 46402, 11, 279, 2728, 2447, 374, 40056, 315, 279, 1495, 449, 264, 3492, 1797, 1990, 220, 1490, 323, 220, 1041, 6959, 13, 7648, 9917, 6498, 17850, 7224, 527, 6118, 18255, 1139, 4330, 477, 4848, 1664, 49061, 291, 30732, 627, 26372, 459, 5150, 17649, 3477, 627, 791, 2778, 369, 264, 9903, 287, 323, 8475, 8712, 369, 279, 386, 844, 4842, 17850, 649, 387, 5115, 57697, 13, 1789, 279, 8857, 315, 7926, 323, 12374, 4236, 433, 374, 539, 779, 4228, 2533, 814, 1541, 1431, 2216, 3619, 1148, 3169, 315, 17078, 872, 84032, 617, 323, 872, 28292, 439, 1664, 627, 4599, 433, 4131, 311, 264, 17649, 3477, 11, 279, 2447, 374, 6118, 34558, 369, 25607, 11, 38663, 323, 66744, 3738, 4375, 3549, 555, 31839, 11, 12074, 323, 48709, 13, 578, 2944, 3249, 433, 374, 5995, 311, 4686, 17649, 8544, 15812, 304, 279, 2144, 430, 2085, 433, 264, 7061, 2834, 1431, 21953, 279, 2539, 8830, 315, 264, 8712, 11, 1148, 3495, 706, 1027, 2736, 13375, 389, 433, 11, 304, 1148, 1648, 433, 706, 1027, 57098, 11, 323, 1148, 279, 6332, 4819, 527, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347 ]
348
[ 128000, 1966, 7950, 11, 584, 1047, 264, 4034, 505, 25566, 411, 10690, 889, 4375, 520, 578, 6295, 17810, 75333, 304, 4487, 8506, 13, 3005, 3782, 311, 6150, 311, 1620, 1082, 1057, 47979, 369, 279, 54559, 364, 6540, 2469, 323, 4610, 9100, 6, 37419, 1938, 430, 374, 4737, 2035, 520, 6150, 389, 220, 1691, 267, 3297, 627, 791, 6295, 17810, 75333, 574, 18538, 304, 220, 1049, 15, 323, 374, 2162, 311, 2212, 220, 1135, 8545, 19987, 11, 505, 279, 25655, 304, 279, 1917, 11, 279, 34445, 445, 76182, 34889, 88, 3165, 15889, 17810, 11, 311, 279, 7928, 11, 279, 3383, 324, 52835, 13, 1102, 374, 1457, 39764, 439, 264, 12541, 315, 38656, 323, 374, 832, 315, 4606, 753, 8706, 8545, 8415, 36282, 627, 791, 75333, 374, 12691, 311, 387, 961, 315, 279, 7665, 4060, 97409, 51567, 11681, 16490, 47516, 11, 279, 2547, 902, 80412, 60951, 40308, 323, 26420, 264, 3831, 11, 17226, 323, 9498, 15207, 7463, 13, 11681, 16490, 48188, 779, 3117, 520, 279, 75333, 2997, 459, 3383, 324, 99093, 323, 3383, 324, 52835, 11, 264, 8279, 266, 6713, 52835, 11, 264, 328, 6283, 8415, 11, 264, 393, 16242, 8415, 323, 264, 12056, 99093, 627, 791, 6295, 17810, 75333, 706, 3116, 64982, 315, 85339, 25, 23460, 11, 40308, 11, 6873, 323, 29711, 13, 3296, 1701, 1521, 51346, 16565, 11, 814, 527, 10695, 311, 9966, 264, 3938, 369, 2225, 2466, 19987, 323, 2678, 19987, 11, 11357, 287, 323, 50203, 279, 8335, 315, 1057, 26031, 304, 902, 1521, 56217, 1514, 264, 16595, 3560, 627, 2170, 961, 315, 279, 362, 9580, 40023, 3388, 11, 3697, 315, 279, 28636, 68077, 690, 9020, 311, 264, 3137, 505, 25566, 411, 922, 279, 18208, 311, 279, 19987, 304, 279, 8545, 11, 304, 10109, 323, 506, 10109, 29711, 323, 3249, 584, 1288, 78548, 279, 19987, 13, 578, 12044, 22625, 690, 617, 264, 15864, 922, 279, 75333, 753, 29711, 990, 323, 690, 1935, 961, 304, 30638, 364, 26894, 287, 69132, 6, 37419, 1847, 13, 4427, 14584, 26280, 690, 1101, 2385, 6740, 753, 18872, 2212, 279, 8712, 315, 52356, 9606, 11, 304, 4040, 11, 52356, 8545, 19987, 627, 2746, 499, 6562, 311, 1505, 704, 810, 922, 578, 6295, 17810, 75333, 11, 4587, 4034, 872, 3997, 520, 8604, 42901, 16548, 38552, 276, 302, 3620, 2726, 627, 1687, 690, 1101, 387, 10168, 264, 436, 45190, 520, 279, 6150, 482, 350, 14722, 32354, 35935, 320, 5451, 3459, 8, 47626, 9124, 264, 23163, 449, 279, 3649, 12882, 3770, 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 ]
[ 128000, 1966, 7950, 11, 584, 1047, 264, 4034, 505, 25566, 411, 10690, 889, 4375, 520, 578, 6295, 17810, 75333, 304, 4487, 8506, 13, 3005, 3782, 311, 6150, 311, 1620, 1082, 1057, 47979, 369, 279, 54559, 364, 6540, 2469, 323, 4610, 9100, 6, 37419, 1938, 430, 374, 4737, 2035, 520, 6150, 389, 220, 1691, 267, 3297, 627, 791, 6295, 17810, 75333, 574, 18538, 304, 220, 1049, 15, 323, 374, 2162, 311, 2212, 220, 1135, 8545, 19987, 11, 505, 279, 25655, 304, 279, 1917, 11, 279, 34445, 445, 76182, 34889, 88, 3165, 15889, 17810, 11, 311, 279, 7928, 11, 279, 3383, 324, 52835, 13, 1102, 374, 1457, 39764, 439, 264, 12541, 315, 38656, 323, 374, 832, 315, 4606, 753, 8706, 8545, 8415, 36282, 627, 791, 75333, 374, 12691, 311, 387, 961, 315, 279, 7665, 4060, 97409, 51567, 11681, 16490, 47516, 11, 279, 2547, 902, 80412, 60951, 40308, 323, 26420, 264, 3831, 11, 17226, 323, 9498, 15207, 7463, 13, 11681, 16490, 48188, 779, 3117, 520, 279, 75333, 2997, 459, 3383, 324, 99093, 323, 3383, 324, 52835, 11, 264, 8279, 266, 6713, 52835, 11, 264, 328, 6283, 8415, 11, 264, 393, 16242, 8415, 323, 264, 12056, 99093, 627, 791, 6295, 17810, 75333, 706, 3116, 64982, 315, 85339, 25, 23460, 11, 40308, 11, 6873, 323, 29711, 13, 3296, 1701, 1521, 51346, 16565, 11, 814, 527, 10695, 311, 9966, 264, 3938, 369, 2225, 2466, 19987, 323, 2678, 19987, 11, 11357, 287, 323, 50203, 279, 8335, 315, 1057, 26031, 304, 902, 1521, 56217, 1514, 264, 16595, 3560, 627, 2170, 961, 315, 279, 362, 9580, 40023, 3388, 11, 3697, 315, 279, 28636, 68077, 690, 9020, 311, 264, 3137, 505, 25566, 411, 922, 279, 18208, 311, 279, 19987, 304, 279, 8545, 11, 304, 10109, 323, 506, 10109, 29711, 323, 3249, 584, 1288, 78548, 279, 19987, 13, 578, 12044, 22625, 690, 617, 264, 15864, 922, 279, 75333, 753, 29711, 990, 323, 690, 1935, 961, 304, 30638, 364, 26894, 287, 69132, 6, 37419, 1847, 13, 4427, 14584, 26280, 690, 1101, 2385, 6740, 753, 18872, 2212, 279, 8712, 315, 52356, 9606, 11, 304, 4040, 11, 52356, 8545, 19987, 627, 2746, 499, 6562, 311, 1505, 704, 810, 922, 578, 6295, 17810, 75333, 11, 4587, 4034, 872, 3997, 520, 8604, 42901, 16548, 38552, 276, 302, 3620, 2726, 627, 1687, 690, 1101, 387, 10168, 264, 436, 45190, 520, 279, 6150, 482, 350, 14722, 32354, 35935, 320, 5451, 3459, 8, 47626, 9124, 264, 23163, 449, 279, 3649, 12882, 3770, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404 ]
405
[ 128000, 27, 876, 1284, 1590, 29, 16, 12, 605, 198, 475, 57566, 198, 475, 47158, 198, 1527, 35135, 840, 75706, 46310, 1179, 73816, 26321, 198, 1527, 31259, 1179, 16076, 271, 1527, 9128, 8318, 5539, 1179, 51335, 19199, 198, 1527, 9128, 8318, 24340, 9105, 1179, 5464, 3126, 198, 1527, 9128, 8318, 15296, 39327, 1179, 2456, 262, 16439, 8749, 345, 262, 16439, 40515, 345, 262, 16439, 12853, 345, 262, 16439, 30023, 345, 262, 16439, 68848, 345, 262, 16439, 24660, 345, 262, 16439, 38016, 345, 262, 16439, 34808, 345, 340, 1527, 9128, 8318, 15296, 52242, 1179, 2456, 262, 923, 345, 262, 1652, 345, 262, 2242, 345, 262, 3783, 345, 262, 4141, 39486, 262, 1906, 345, 262, 2778, 345, 262, 2704, 39486, 262, 2713, 345, 340, 1527, 9128, 8318, 15296, 36481, 1179, 4232, 48560, 198, 1527, 45272, 18456, 1179, 1629, 4570, 82307, 198, 1527, 45272, 8777, 10216, 454, 1179, 358, 1971, 48406, 198, 1527, 45272, 6545, 1179, 10339, 1480, 11, 40107, 271, 42995, 23507, 284, 330, 3322, 702, 42995, 9532, 284, 330, 2899, 15993, 755, 4259, 8526, 5963, 429, 15497, 262, 471, 5324, 2899, 794, 330, 5748, 1, 422, 4037, 624, 51335, 19199, 775, 330, 850, 1, 3818, 7227, 16705, 21146, 284, 341, 262, 16439, 8749, 25, 923, 345, 262, 16439, 30023, 25, 3783, 345, 262, 16439, 34808, 25, 2778, 345, 262, 16439, 12853, 25, 2242, 345, 262, 16439, 68848, 25, 4232, 48560, 345, 262, 16439, 23507, 25, 4259, 39486, 262, 16439, 38016, 25, 1906, 345, 262, 16439, 9532, 25, 2704, 39486, 262, 16439, 24660, 25, 4141, 39486, 633, 7227, 16705, 12991, 284, 341, 262, 16439, 40515, 25, 12741, 25, 5324, 695, 794, 1652, 79208, 262, 16439, 12853, 25, 12741, 25, 2242, 27815, 11, 2290, 1350, 633, 9173, 23507, 22624, 284, 320, 42995, 40515, 11, 16439, 23507, 3707, 755, 4259, 968, 997, 262, 571, 12158, 302, 6309, 82393, 2690, 968, 340, 262, 711, 13564, 4163, 2164, 11, 3146, 9872, 997, 286, 422, 16901, 673, 446, 1335, 498, 2290, 8, 304, 5782, 23507, 22624, 512, 310, 471, 282, 4163, 2164, 11, 3146, 9872, 696, 286, 4037, 284, 2897, 58, 15, 948, 2079, 18510, 673, 446, 12498, 8318, 35941, 1158, 286, 422, 4037, 624, 51335, 19199, 512, 310, 471, 282, 4163, 2164, 11, 3146, 9872, 340, 286, 775, 512, 310, 674, 10339, 1480, 690, 387, 3734, 304, 1595, 4066, 3126, 3921, 4188, 4077, 310, 4933, 10339, 1480, 7, 10841, 696, 262, 471, 13564, 1432, 1058, 7735, 6700, 3126, 23017, 3126, 997, 262, 571, 3322, 198, 262, 711, 636, 1214, 11, 1957, 11, 353, 2164, 11, 3146, 9872, 997, 286, 1456, 512, 310, 1121, 284, 5446, 16705, 12991, 673, 15665, 8, 746, 286, 3734, 4204, 512, 310, 47158, 2263, 46747, 746, 310, 4933, 10339, 1480, 7, 3443, 340, 286, 659, 41186, 1214, 4421, 1463, 22551, 1407, 4489, 262, 571, 3322, 198, 262, 711, 1772, 1214, 11, 1957, 11, 353, 2164, 11, 3146, 9872, 997, 286, 828, 284, 659, 673, 9643, 2892, 286, 1456, 512, 310, 1121, 284, 5446, 16705, 21146, 673, 15665, 2432, 334, 695, 340, 310, 422, 1121, 1204, 2899, 1365, 624, 330, 850, 4764, 394, 4933, 10339, 1480, 7, 3443, 340, 286, 3734, 10339, 1480, 512, 310, 4933, 10339, 1480, 7, 3443, 340, 286, 3734, 4204, 512, 310, 47158, 2263, 46747, 746, 310, 4933, 10339, 1480, 7, 2636, 696, 286, 9216, 284, 659, 4421, 1463, 22551, 1407, 340, 286, 659, 41186, 20882, 3707, 1058, 5666, 3126, 23017, 3126, 997, 262, 32658, 284, 73816, 26321, 7, 17, 340, 262, 5409, 284, 16076, 2892, 262, 571, 3322, 198, 262, 571, 300, 28934, 198, 262, 711, 1772, 1214, 997, 286, 422, 539, 659, 21679, 21679, 291, 4019, 310, 659, 21679, 70727, 746, 310, 358, 1971, 48406, 13366, 1020, 723, 12802, 1214, 870, 569, 12461, 8, 220, 674, 122255, 91985, 45163, 19000, 17297, 15120, 112229, 58721, 122523, 87412, 76217, 726, 11365, 198, 310, 659, 41186, 1214, 4421, 1463, 7483, 429, 2527, 21686, 5572, 286, 775, 512, 310, 659, 41186, 1214, 4421, 1463, 7483, 429, 20281, 21686, 706, 539, 6381, 29175, 262, 571, 6236, 4570, 82307, 198, 262, 711, 2653, 12461, 1214, 11, 997, 286, 1194, 446, 2527, 990, 1158, 286, 828, 284, 659, 673, 9643, 2892, 286, 836, 284, 828, 673, 446, 609, 498, 15018, 286, 4232, 284, 828, 673, 446, 13181, 498, 63069, 286, 422, 539, 4232, 512, 310, 4232, 284, 2290, 198, 286, 2713, 3232, 11, 4232, 340, 286, 659, 21679, 26642, 746, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 27, 876, 1284, 1590, 29, 16, 12, 605, 198, 475, 57566, 198, 475, 47158, 198, 1527, 35135, 840, 75706, 46310, 1179, 73816, 26321, 198, 1527, 31259, 1179, 16076, 271, 1527, 9128, 8318, 5539, 1179, 51335, 19199, 198, 1527, 9128, 8318, 24340, 9105, 1179, 5464, 3126, 198, 1527, 9128, 8318, 15296, 39327, 1179, 2456, 262, 16439, 8749, 345, 262, 16439, 40515, 345, 262, 16439, 12853, 345, 262, 16439, 30023, 345, 262, 16439, 68848, 345, 262, 16439, 24660, 345, 262, 16439, 38016, 345, 262, 16439, 34808, 345, 340, 1527, 9128, 8318, 15296, 52242, 1179, 2456, 262, 923, 345, 262, 1652, 345, 262, 2242, 345, 262, 3783, 345, 262, 4141, 39486, 262, 1906, 345, 262, 2778, 345, 262, 2704, 39486, 262, 2713, 345, 340, 1527, 9128, 8318, 15296, 36481, 1179, 4232, 48560, 198, 1527, 45272, 18456, 1179, 1629, 4570, 82307, 198, 1527, 45272, 8777, 10216, 454, 1179, 358, 1971, 48406, 198, 1527, 45272, 6545, 1179, 10339, 1480, 11, 40107, 271, 42995, 23507, 284, 330, 3322, 702, 42995, 9532, 284, 330, 2899, 15993, 755, 4259, 8526, 5963, 429, 15497, 262, 471, 5324, 2899, 794, 330, 5748, 1, 422, 4037, 624, 51335, 19199, 775, 330, 850, 1, 3818, 7227, 16705, 21146, 284, 341, 262, 16439, 8749, 25, 923, 345, 262, 16439, 30023, 25, 3783, 345, 262, 16439, 34808, 25, 2778, 345, 262, 16439, 12853, 25, 2242, 345, 262, 16439, 68848, 25, 4232, 48560, 345, 262, 16439, 23507, 25, 4259, 39486, 262, 16439, 38016, 25, 1906, 345, 262, 16439, 9532, 25, 2704, 39486, 262, 16439, 24660, 25, 4141, 39486, 633, 7227, 16705, 12991, 284, 341, 262, 16439, 40515, 25, 12741, 25, 5324, 695, 794, 1652, 79208, 262, 16439, 12853, 25, 12741, 25, 2242, 27815, 11, 2290, 1350, 633, 9173, 23507, 22624, 284, 320, 42995, 40515, 11, 16439, 23507, 3707, 755, 4259, 968, 997, 262, 571, 12158, 302, 6309, 82393, 2690, 968, 340, 262, 711, 13564, 4163, 2164, 11, 3146, 9872, 997, 286, 422, 16901, 673, 446, 1335, 498, 2290, 8, 304, 5782, 23507, 22624, 512, 310, 471, 282, 4163, 2164, 11, 3146, 9872, 696, 286, 4037, 284, 2897, 58, 15, 948, 2079, 18510, 673, 446, 12498, 8318, 35941, 1158, 286, 422, 4037, 624, 51335, 19199, 512, 310, 471, 282, 4163, 2164, 11, 3146, 9872, 340, 286, 775, 512, 310, 674, 10339, 1480, 690, 387, 3734, 304, 1595, 4066, 3126, 3921, 4188, 4077, 310, 4933, 10339, 1480, 7, 10841, 696, 262, 471, 13564, 1432, 1058, 7735, 6700, 3126, 23017, 3126, 997, 262, 571, 3322, 198, 262, 711, 636, 1214, 11, 1957, 11, 353, 2164, 11, 3146, 9872, 997, 286, 1456, 512, 310, 1121, 284, 5446, 16705, 12991, 673, 15665, 8, 746, 286, 3734, 4204, 512, 310, 47158, 2263, 46747, 746, 310, 4933, 10339, 1480, 7, 3443, 340, 286, 659, 41186, 1214, 4421, 1463, 22551, 1407, 4489, 262, 571, 3322, 198, 262, 711, 1772, 1214, 11, 1957, 11, 353, 2164, 11, 3146, 9872, 997, 286, 828, 284, 659, 673, 9643, 2892, 286, 1456, 512, 310, 1121, 284, 5446, 16705, 21146, 673, 15665, 2432, 334, 695, 340, 310, 422, 1121, 1204, 2899, 1365, 624, 330, 850, 4764, 394, 4933, 10339, 1480, 7, 3443, 340, 286, 3734, 10339, 1480, 512, 310, 4933, 10339, 1480, 7, 3443, 340, 286, 3734, 4204, 512, 310, 47158, 2263, 46747, 746, 310, 4933, 10339, 1480, 7, 2636, 696, 286, 9216, 284, 659, 4421, 1463, 22551, 1407, 340, 286, 659, 41186, 20882, 3707, 1058, 5666, 3126, 23017, 3126, 997, 262, 32658, 284, 73816, 26321, 7, 17, 340, 262, 5409, 284, 16076, 2892, 262, 571, 3322, 198, 262, 571, 300, 28934, 198, 262, 711, 1772, 1214, 997, 286, 422, 539, 659, 21679, 21679, 291, 4019, 310, 659, 21679, 70727, 746, 310, 358, 1971, 48406, 13366, 1020, 723, 12802, 1214, 870, 569, 12461, 8, 220, 674, 122255, 91985, 45163, 19000, 17297, 15120, 112229, 58721, 122523, 87412, 76217, 726, 11365, 198, 310, 659, 41186, 1214, 4421, 1463, 7483, 429, 2527, 21686, 5572, 286, 775, 512, 310, 659, 41186, 1214, 4421, 1463, 7483, 429, 20281, 21686, 706, 539, 6381, 29175, 262, 571, 6236, 4570, 82307, 198, 262, 711, 2653, 12461, 1214, 11, 997, 286, 1194, 446, 2527, 990, 1158, 286, 828, 284, 659, 673, 9643, 2892, 286, 836, 284, 828, 673, 446, 609, 498, 15018, 286, 4232, 284, 828, 673, 446, 13181, 498, 63069, 286, 422, 539, 4232, 512, 310, 4232, 284, 2290, 198, 286, 2713, 3232, 11, 4232, 340, 286, 659, 21679, 26642, 746, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726 ]
727
[ 128000, 791, 6367, 315, 32465, 4998, 76052, 15812, 304, 1694, 311, 12602, 279, 28899, 315, 50024, 22540, 11, 323, 61726, 40401, 706, 5762, 279, 1917, 304, 813, 8983, 543, 2533, 813, 17755, 304, 3451, 3513, 35794, 753, 10280, 25992, 529, 7154, 832, 7895, 323, 27219, 1667, 4227, 13, 8876, 1243, 11, 813, 61801, 11, 9063, 11, 15310, 4264, 323, 8122, 30318, 32078, 617, 65308, 3545, 839, 323, 81652, 81328, 2531, 919, 315, 63698, 388, 11, 323, 1524, 3582, 813, 4113, 20514, 28686, 79912, 12, 5519, 982, 2163, 279, 49972, 22651, 1317, 4227, 11, 9214, 315, 502, 17073, 323, 57700, 617, 9922, 369, 40401, 323, 32580, 311, 11886, 11, 9523, 311, 264, 52909, 315, 12283, 889, 25319, 1139, 279, 31471, 11, 21816, 709, 1405, 66309, 2163, 1022, 627, 791, 5652, 315, 1521, 374, 3451, 791, 11462, 30664, 315, 61726, 40401, 20182, 374, 264, 3116, 961, 20156, 430, 5097, 2035, 2391, 279, 1667, 1990, 3451, 791, 13321, 22854, 529, 323, 3451, 791, 33112, 315, 279, 23020, 4783, 529, 994, 279, 1917, 11, 323, 32580, 11, 11846, 40401, 311, 387, 5710, 11, 3515, 21536, 11, 3235, 449, 7957, 95297, 6862, 11, 311, 813, 4648, 520, 1050, 29424, 35638, 30743, 13, 11995, 40401, 323, 32580, 11, 9678, 315, 1855, 1023, 323, 304, 3117, 2204, 10687, 11, 3719, 8126, 299, 2230, 304, 279, 8002, 12922, 315, 264, 6367, 22139, 430, 26737, 311, 4546, 922, 279, 842, 315, 279, 2362, 2015, 323, 279, 7314, 315, 264, 502, 1917, 1555, 49417, 11, 10102, 323, 35557, 19814, 13, 1628, 439, 279, 38736, 819, 13155, 11031, 12401, 311, 94706, 11, 40401, 323, 32580, 11, 19180, 555, 6138, 323, 279, 15629, 753, 29869, 323, 7626, 16801, 430, 279, 4846, 374, 5710, 11, 1505, 872, 1475, 3351, 64788, 291, 439, 8994, 872, 1455, 16781, 3927, 9045, 311, 3009, 433, 11, 433, 5084, 31352, 430, 4395, 430, 814, 1440, 323, 3412, 25237, 690, 387, 27073, 555, 4027, 323, 4648, 13, 5659, 279, 24405, 315, 45261, 311, 279, 77069, 75752, 315, 2410, 304, 7295, 11, 3451, 791, 11462, 30664, 315, 61726, 40401, 529, 374, 264, 2653, 66185, 11, 4261, 5054, 54461, 11, 430, 52924, 34378, 276, 80058, 5540, 2949, 264, 40401, 1122, 12914, 311, 11003, 459, 18427, 430, 16008, 1057, 1790, 2231, 5304, 11, 323, 79837, 75748, 12084, 11039, 539, 1120, 2403, 279, 8603, 315, 14289, 11, 719, 369, 3070, 11, 34662, 323, 4885, 439, 1664, 11, 304, 459, 70275, 323, 86282, 24162, 430, 27741, 499, 1139, 279, 1917, 315, 61726, 40401, 323, 41716, 311, 1095, 499, 733, 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 ]
[ 128000, 791, 6367, 315, 32465, 4998, 76052, 15812, 304, 1694, 311, 12602, 279, 28899, 315, 50024, 22540, 11, 323, 61726, 40401, 706, 5762, 279, 1917, 304, 813, 8983, 543, 2533, 813, 17755, 304, 3451, 3513, 35794, 753, 10280, 25992, 529, 7154, 832, 7895, 323, 27219, 1667, 4227, 13, 8876, 1243, 11, 813, 61801, 11, 9063, 11, 15310, 4264, 323, 8122, 30318, 32078, 617, 65308, 3545, 839, 323, 81652, 81328, 2531, 919, 315, 63698, 388, 11, 323, 1524, 3582, 813, 4113, 20514, 28686, 79912, 12, 5519, 982, 2163, 279, 49972, 22651, 1317, 4227, 11, 9214, 315, 502, 17073, 323, 57700, 617, 9922, 369, 40401, 323, 32580, 311, 11886, 11, 9523, 311, 264, 52909, 315, 12283, 889, 25319, 1139, 279, 31471, 11, 21816, 709, 1405, 66309, 2163, 1022, 627, 791, 5652, 315, 1521, 374, 3451, 791, 11462, 30664, 315, 61726, 40401, 20182, 374, 264, 3116, 961, 20156, 430, 5097, 2035, 2391, 279, 1667, 1990, 3451, 791, 13321, 22854, 529, 323, 3451, 791, 33112, 315, 279, 23020, 4783, 529, 994, 279, 1917, 11, 323, 32580, 11, 11846, 40401, 311, 387, 5710, 11, 3515, 21536, 11, 3235, 449, 7957, 95297, 6862, 11, 311, 813, 4648, 520, 1050, 29424, 35638, 30743, 13, 11995, 40401, 323, 32580, 11, 9678, 315, 1855, 1023, 323, 304, 3117, 2204, 10687, 11, 3719, 8126, 299, 2230, 304, 279, 8002, 12922, 315, 264, 6367, 22139, 430, 26737, 311, 4546, 922, 279, 842, 315, 279, 2362, 2015, 323, 279, 7314, 315, 264, 502, 1917, 1555, 49417, 11, 10102, 323, 35557, 19814, 13, 1628, 439, 279, 38736, 819, 13155, 11031, 12401, 311, 94706, 11, 40401, 323, 32580, 11, 19180, 555, 6138, 323, 279, 15629, 753, 29869, 323, 7626, 16801, 430, 279, 4846, 374, 5710, 11, 1505, 872, 1475, 3351, 64788, 291, 439, 8994, 872, 1455, 16781, 3927, 9045, 311, 3009, 433, 11, 433, 5084, 31352, 430, 4395, 430, 814, 1440, 323, 3412, 25237, 690, 387, 27073, 555, 4027, 323, 4648, 13, 5659, 279, 24405, 315, 45261, 311, 279, 77069, 75752, 315, 2410, 304, 7295, 11, 3451, 791, 11462, 30664, 315, 61726, 40401, 529, 374, 264, 2653, 66185, 11, 4261, 5054, 54461, 11, 430, 52924, 34378, 276, 80058, 5540, 2949, 264, 40401, 1122, 12914, 311, 11003, 459, 18427, 430, 16008, 1057, 1790, 2231, 5304, 11, 323, 79837, 75748, 12084, 11039, 539, 1120, 2403, 279, 8603, 315, 14289, 11, 719, 369, 3070, 11, 34662, 323, 4885, 439, 1664, 11, 304, 459, 70275, 323, 86282, 24162, 430, 27741, 499, 1139, 279, 1917, 315, 61726, 40401, 323, 41716, 311, 1095, 499, 733, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416 ]
417
[ 128000, 17415, 8395, 412, 374, 92890, 13, 18530, 412, 62566, 1057, 16267, 11, 4907, 11, 11939, 11, 323, 26206, 627, 11458, 11, 1070, 527, 1690, 5627, 499, 649, 656, 439, 459, 19683, 320, 438, 459, 9548, 8, 311, 5471, 323, 4322, 8395, 412, 627, 8586, 527, 1063, 12195, 323, 13803, 315, 9548, 8395, 412, 17223, 1148, 311, 656, 922, 1124, 627, 17415, 8395, 412, 22223, 1057, 4553, 1694, 13, 1102, 48291, 25949, 1057, 10723, 11, 14604, 11, 7106, 11, 323, 3674, 39890, 627, 67313, 412, 374, 70663, 4245, 311, 927, 21837, 477, 44387, 8631, 13, 20695, 430, 649, 506, 33361, 349, 9548, 8395, 412, 2997, 19748, 63114, 3531, 11, 990, 430, 3250, 1431, 5398, 449, 459, 8420, 529, 2819, 477, 9021, 11, 1317, 1081, 2142, 11, 6996, 315, 1862, 477, 18324, 11, 71985, 17078, 11, 737, 46501, 28439, 11, 323, 4819, 449, 84055, 627, 2170, 264, 1121, 11, 8420, 649, 3217, 7106, 6784, 11, 8009, 6212, 11, 30118, 2968, 11, 48364, 42914, 11, 18547, 11, 323, 18710, 13, 220, 2813, 4, 315, 8420, 617, 10534, 8395, 412, 4245, 311, 872, 1510, 2683, 627, 67313, 412, 11767, 311, 3428, 9548, 20392, 11, 902, 13967, 3445, 8009, 5178, 627, 2181, 753, 539, 430, 50440, 9994, 8420, 1541, 1431, 2512, 1389, 433, 753, 430, 814, 4070, 42777, 2288, 1790, 369, 2288, 1317, 2085, 2098, 9585, 279, 4907, 45512, 11, 323, 814, 3207, 2163, 449, 2697, 311, 3041, 627, 67313, 412, 48291, 25949, 1057, 10723, 2890, 11, 323, 8009, 10723, 2890, 649, 1304, 603, 810, 38097, 311, 8395, 412, 627, 3923, 527, 279, 12195, 315, 8395, 412, 369, 8420, 5380, 25732, 7487, 1253, 387, 5423, 38097, 311, 9548, 8395, 412, 2533, 2697, 62849, 872, 990, 323, 2162, 2324, 13, 578, 31293, 315, 1694, 1054, 263, 863, 15320, 11141, 2697, 892, 311, 10160, 1523, 323, 2543, 990, 1022, 627, 626, 676, 374, 31352, 13, 15371, 8128, 11, 2466, 7224, 11, 323, 810, 649, 682, 4546, 389, 18547, 627, 626, 676, 4536, 1431, 14647, 3958, 13, 362, 2697, 8631, 649, 387, 264, 1695, 12521, 859, 13, 4452, 11, 994, 8631, 8741, 21356, 927, 892, 11, 433, 649, 1212, 311, 10051, 1523, 701, 5687, 627, 2028, 374, 994, 8395, 412, 1253, 743, 304, 13, 18530, 412, 21667, 5196, 439, 264, 6996, 315, 25835, 11, 1469, 19682, 11, 323, 834, 833, 3531, 627, 21279, 990, 323, 19433, 14228, 4819, 649, 5353, 8395, 412, 627, 2688, 3515, 2585, 927, 701, 990, 13, 1115, 649, 3621, 994, 8420, 2733, 814, 617, 912, 2019, 927, 2574, 430, 5536, 872, 990, 11, 1778, 439, 990, 9899, 11, 32272, 11, 58982, 11, 323, 54696, 627, 43, 474, 315, 279, 5070, 311, 636, 279, 2683, 2884, 13, 1442, 8420, 1541, 1431, 617, 279, 1862, 477, 7526, 311, 22829, 872, 990, 11, 420, 11621, 5217, 990, 8631, 627, 17995, 811, 7784, 1431, 2867, 13, 2876, 14392, 7041, 1148, 3966, 311, 387, 27332, 649, 617, 264, 74109, 2515, 389, 8420, 627, 6919, 2050, 3674, 4819, 13, 74658, 29213, 520, 990, 1606, 315, 47989, 990, 30295, 649, 1935, 264, 6908, 26936, 389, 8420, 529, 8631, 5990, 627, 6919, 374, 2288, 26192, 13, 19863, 398, 1579, 8631, 5990, 4560, 311, 3449, 19738, 58982, 323, 4686, 2466, 7224, 649, 3063, 311, 8395, 412, 927, 892, 627, 6720, 4207, 13, 22938, 2288, 1690, 4207, 3445, 430, 279, 990, 26928, 8335, 10631, 2288, 3117, 7119, 990, 0, 1115, 649, 5387, 5687, 61508, 323, 43251, 627, 2688, 3515, 264, 1862, 4009, 13, 20636, 4885, 323, 3070, 311, 3137, 311, 439, 459, 14604, 1862, 1887, 374, 9193, 3062, 13, 1442, 5687, 3250, 1431, 617, 430, 3674, 4009, 11, 814, 3207, 6965, 311, 1212, 8430, 8395, 412, 627, 2460, 990, 323, 912, 1514, 13, 3277, 990, 5097, 709, 682, 1455, 48728, 4207, 11, 8420, 1541, 1431, 1935, 892, 311, 3674, 553, 11, 47923, 11, 323, 27116, 1022, 279, 990, 1316, 13, 45773, 990, 26928, 8335, 374, 264, 11191, 75283, 369, 10723, 2890, 28970, 627, 2688, 3794, 3403, 6212, 13, 24708, 374, 16595, 311, 1475, 734, 315, 279, 2547, 323, 8271, 0, 17586, 3403, 6212, 11, 701, 2128, 690, 4461, 1212, 8430, 279, 6372, 315, 8395, 412, 11, 323, 8631, 690, 387, 16127, 311, 10299, 627, 51197, 389, 2288, 1790, 990, 477, 2288, 1690, 28423, 13, 44741, 1253, 387, 3318, 2539, 892, 5636, 40583, 311, 24826, 872, 6980, 529, 7411, 11, 17677, 74413, 11, 20256, 279, 1828, 2363, 6469, 11, 323, 810, 13, 36925, 389, 2288, 1690, 28423, 320, 17206, 2523, 6305, 16715, 649, 3063, 311, 8395, 412, 627, 67313, 412, 649, 387, 264, 53722, 1920, 430, 1922, 7270, 709, 389, 701, 2128, 14297, 13, 2435, 2643, 2873, 1120, 264, 2697, 1629, 1523, 1457, 11, 719, 8395, 412, 374, 40944, 323, 9731, 311, 27402, 709, 422, 2163, 653, 5102, 291, 13, 43897, 5627, 311, 8108, 701, 2128, 753, 8631, 1457, 690, 264, 1653, 904, 3682, 31085, 82, 1523, 279, 5754, 627, 8586, 527, 220, 20, 12195, 315, 9548, 8395, 412, 11, 5636, 10631, 389, 1268, 311, 1520, 701, 2128, 10299, 8395, 412, 627, 75586, 889, 527, 653, 306, 13092, 72, 5174, 922, 872, 7032, 8356, 3428, 22867, 990, 627, 3947, 527, 1690, 8125, 459, 9548, 2643, 387, 834, 833, 3359, 505, 279, 990, 323, 2683, 9256, 11, 323, 1063, 315, 1521, 8125, 649, 387, 32098, 627, 2520, 2937, 11, 994, 8420, 7784, 1431, 30844, 1639, 369, 6848, 389, 2883, 10396, 477, 24009, 11429, 11, 433, 690, 14243, 38974, 872, 20392, 627, 25729, 433, 753, 264, 4947, 2349, 11, 264, 19092, 27137, 11, 477, 24009, 264, 502, 2128, 4562, 11, 701, 8420, 1390, 520, 3325, 264, 2697, 2019, 304, 279, 5030, 13, 1789, 2937, 11, 433, 753, 2744, 264, 1695, 4623, 311, 636, 9548, 1988, 2391, 1063, 6566, 315, 264, 24009, 1920, 311, 8720, 1268, 5127, 11321, 922, 264, 4754, 9322, 13, 6104, 279, 17139, 24009, 5597, 1253, 10457, 304, 279, 6206, 315, 279, 12432, 477, 23096, 10783, 11, 701, 1510, 8420, 1390, 311, 1440, 430, 499, 907, 872, 9647, 389, 889, 1053, 1304, 459, 9250, 5369, 311, 872, 2128, 627, 791, 1401, 311, 10671, 17045, 520, 990, 374, 30598, 922, 279, 15632, 13, 44741, 889, 617, 810, 51360, 304, 872, 1938, 4791, 11477, 990, 690, 8356, 279, 1888, 3135, 627, 4599, 9256, 527, 2163, 64716, 477, 9099, 21294, 1212, 9204, 709, 15870, 11, 433, 753, 4461, 701, 8420, 527, 927, 71214, 13, 3277, 7487, 527, 259, 6285, 3090, 1475, 1938, 311, 2567, 389, 1948, 315, 279, 1455, 9200, 9256, 11, 24359, 636, 4018, 627, 791, 5353, 369, 420, 1436, 387, 264, 88938, 304, 279, 1648, 264, 2447, 11031, 4741, 11, 6926, 89508, 11, 477, 279, 1396, 315, 9256, 323, 28423, 459, 9548, 706, 627, 1692, 11467, 1288, 63652, 1268, 311, 1304, 279, 990, 8831, 369, 279, 8420, 779, 814, 649, 8356, 279, 4367, 990, 499, 22163, 1124, 369, 627, 27264, 8420, 311, 1304, 264, 1160, 315, 279, 9256, 814, 656, 430, 1935, 709, 810, 315, 872, 892, 1109, 814, 7070, 1093, 13, 12522, 1124, 1160, 1148, 814, 3604, 656, 11, 539, 1120, 1148, 753, 304, 872, 2683, 4096, 13, 21069, 1124, 1268, 814, 527, 15194, 872, 9256, 11, 323, 1212, 264, 21976, 922, 26206, 10631, 627, 7560, 61140, 8420, 311, 617, 264, 26569, 4623, 315, 1148, 814, 649, 11322, 304, 264, 1938, 323, 38263, 279, 17078, 627, 23030, 3966, 311, 9020, 311, 9548, 6848, 922, 18899, 279, 990, 1920, 13, 12838, 832, 9476, 15320, 3412, 709, 1023, 26280, 11, 6968, 42834, 892, 369, 5127, 775, 30, 1442, 779, 11, 1268, 649, 433, 387, 32098, 5380, 1688, 452, 344, 9491, 11, 584, 22118, 420, 4360, 555, 3515, 2360, 30155, 6658, 4978, 14097, 13, 44741, 527, 1101, 1949, 311, 54321, 872, 58344, 22736, 422, 814, 1205, 311, 656, 5655, 990, 627, 17020, 287, 89508, 323, 5754, 22692, 690, 1520, 18979, 8631, 323, 8395, 412, 627, 1687, 682, 1440, 430, 8631, 3727, 1274, 14363, 13, 763, 5369, 311, 46301, 701, 40368, 11, 1070, 527, 279, 31352, 2547, 264, 8696, 323, 36366, 24569, 430, 2586, 3235, 449, 2288, 1690, 4207, 389, 279, 9042, 382, 82214, 430, 449, 8009, 10173, 11, 40240, 6212, 37869, 11, 323, 539, 3403, 10368, 50004, 17037, 23828, 3422, 449, 927, 21837, 17223, 8395, 412, 374, 31352, 627, 626, 676, 6373, 374, 9200, 369, 701, 2890, 323, 369, 27252, 990, 14228, 8395, 412, 627, 27831, 23234, 649, 1431, 1755, 311, 2543, 264, 12128, 753, 2890, 2212, 389, 872, 1866, 11, 3339, 39890, 264, 10844, 520, 990, 649, 12207, 5536, 32027, 2890, 369, 279, 2731, 627, 2675, 649, 1101, 3493, 8420, 264, 10723, 2890, 2068, 477, 469, 2599, 430, 690, 3493, 2680, 311, 17479, 6989, 11, 33862, 16079, 11, 6212, 1812, 31767, 11, 323, 810, 311, 1520, 8420, 10299, 872, 2890, 627, 97602, 459, 26613, 1396, 315, 2919, 1022, 690, 733, 264, 1317, 1648, 304, 10494, 701, 7487, 304, 11813, 8338, 6211, 627, 12389, 499, 14000, 430, 8420, 617, 1027, 264, 2697, 810, 73623, 4633, 1109, 13783, 30, 3011, 753, 264, 11191, 1879, 315, 9548, 8395, 412, 13, 1442, 63683, 374, 3428, 11, 814, 4070, 2751, 264, 2763, 389, 872, 12235, 11, 477, 814, 3207, 8430, 2073, 6283, 3340, 11, 814, 1253, 4546, 264, 3958, 19451, 311, 990, 627, 14139, 389, 98042, 13, 1102, 374, 7718, 311, 11886, 5435, 2391, 701, 16659, 11, 719, 387, 2771, 311, 3137, 922, 701, 8420, 529, 53881, 323, 1268, 814, 4070, 1027, 63082, 13, 1442, 499, 8335, 704, 3575, 99246, 449, 32689, 1148, 753, 2736, 3318, 11, 433, 4805, 387, 8831, 369, 5127, 311, 4822, 6928, 627, 3563, 264, 10652, 922, 10723, 2890, 555, 7556, 922, 1148, 706, 9087, 499, 37586, 449, 8631, 1105, 627, 8238, 2771, 701, 8420, 7784, 1431, 75691, 13, 4343, 3502, 449, 701, 2128, 11, 2610, 1124, 1148, 814, 3207, 10374, 872, 892, 389, 11, 323, 1505, 264, 1648, 311, 1520, 1124, 8335, 872, 28423, 13, 362, 9498, 990, 26928, 8335, 374, 7718, 311, 31526, 8395, 412, 627, 1688, 452, 344, 9491, 11, 584, 10795, 1057, 2128, 3131, 824, 8502, 311, 1817, 872, 990, 26928, 8335, 323, 54696, 323, 7652, 28178, 627, 8586, 527, 1063, 15174, 358, 4639, 7931, 994, 814, 527, 16066, 505, 8395, 412, 13, 4314, 220, 19, 15174, 690, 1520, 499, 15641, 1268, 8395, 412, 5039, 709, 369, 499, 11, 323, 1268, 311, 5471, 433, 505, 594, 30463, 4628, 1523, 279, 5754, 627, 24762, 1268, 8395, 412, 5039, 709, 369, 499, 13, 578, 5915, 374, 311, 1212, 311, 15641, 701, 12195, 315, 8395, 412, 6931, 323, 6931, 779, 499, 649, 5766, 20252, 704, 627, 6919, 26928, 23546, 527, 16996, 311, 27252, 8395, 412, 13, 9934, 311, 617, 264, 13263, 14348, 323, 9320, 57679, 627, 2520, 2937, 11, 422, 499, 3197, 311, 990, 505, 220, 24, 311, 220, 20, 1855, 1938, 11, 1456, 4737, 264, 4321, 520, 220, 23, 25, 966, 323, 220, 20, 311, 1520, 499, 9320, 1990, 279, 1403, 627, 7927, 14348, 690, 1520, 8108, 279, 1396, 315, 11429, 499, 1304, 1855, 1938, 11, 10695, 311, 8108, 8395, 412, 5326, 627, 2059, 332, 701, 5274, 6134, 994, 499, 3207, 2884, 449, 990, 13, 12268, 1022, 22736, 13, 20474, 430, 36567, 3201, 320, 438, 4737, 892, 1022, 16715, 690, 1520, 499, 387, 810, 27331, 323, 8599, 994, 499, 527, 3318, 627, 18293, 892, 311, 5357, 389, 6261, 779, 499, 649, 4822, 9498, 13, 10323, 41206, 4536, 1431, 45743, 44603, 374, 7718, 4999, 91057, 922, 701, 28970, 649, 1520, 499, 656, 682, 315, 279, 3485, 627, 1687, 527, 8967, 311, 3974, 304, 4029, 13, 4418, 1431, 733, 520, 433, 7636, 0, 7531, 84055, 11, 4885, 11, 477, 3070, 3697, 430, 3021, 323, 2512, 922, 499, 323, 430, 499, 649, 2389, 579, 304, 13, 7531, 459, 39242, 8427, 311, 1520, 499, 9396, 311, 701, 990, 26928, 30597, 627, 91057, 433, 704, 374, 20134, 11, 719, 433, 39990, 21730, 323, 19662, 13537, 449, 3885, 627, 2520, 810, 389, 1521, 15174, 11, 1817, 704, 220, 1187, 25, 966, 323, 389, 3770, 627, 8586, 527, 1063, 9908, 499, 649, 4430, 449, 701, 2128, 311, 1520, 1124, 37586, 449, 8631, 323, 8395, 412, 627, 1687, 3987, 1521, 10631, 1520, 701, 2128, 5471, 323, 2686, 8395, 412, 0, 20474, 430, 8395, 412, 374, 81193, 323, 4725, 13, 44741, 690, 1212, 311, 34782, 1203, 439, 10723, 2890, 11, 8405, 11302, 11, 323, 20958, 990, 26928, 8335, 3719, 264, 10844, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 17415, 8395, 412, 374, 92890, 13, 18530, 412, 62566, 1057, 16267, 11, 4907, 11, 11939, 11, 323, 26206, 627, 11458, 11, 1070, 527, 1690, 5627, 499, 649, 656, 439, 459, 19683, 320, 438, 459, 9548, 8, 311, 5471, 323, 4322, 8395, 412, 627, 8586, 527, 1063, 12195, 323, 13803, 315, 9548, 8395, 412, 17223, 1148, 311, 656, 922, 1124, 627, 17415, 8395, 412, 22223, 1057, 4553, 1694, 13, 1102, 48291, 25949, 1057, 10723, 11, 14604, 11, 7106, 11, 323, 3674, 39890, 627, 67313, 412, 374, 70663, 4245, 311, 927, 21837, 477, 44387, 8631, 13, 20695, 430, 649, 506, 33361, 349, 9548, 8395, 412, 2997, 19748, 63114, 3531, 11, 990, 430, 3250, 1431, 5398, 449, 459, 8420, 529, 2819, 477, 9021, 11, 1317, 1081, 2142, 11, 6996, 315, 1862, 477, 18324, 11, 71985, 17078, 11, 737, 46501, 28439, 11, 323, 4819, 449, 84055, 627, 2170, 264, 1121, 11, 8420, 649, 3217, 7106, 6784, 11, 8009, 6212, 11, 30118, 2968, 11, 48364, 42914, 11, 18547, 11, 323, 18710, 13, 220, 2813, 4, 315, 8420, 617, 10534, 8395, 412, 4245, 311, 872, 1510, 2683, 627, 67313, 412, 11767, 311, 3428, 9548, 20392, 11, 902, 13967, 3445, 8009, 5178, 627, 2181, 753, 539, 430, 50440, 9994, 8420, 1541, 1431, 2512, 1389, 433, 753, 430, 814, 4070, 42777, 2288, 1790, 369, 2288, 1317, 2085, 2098, 9585, 279, 4907, 45512, 11, 323, 814, 3207, 2163, 449, 2697, 311, 3041, 627, 67313, 412, 48291, 25949, 1057, 10723, 2890, 11, 323, 8009, 10723, 2890, 649, 1304, 603, 810, 38097, 311, 8395, 412, 627, 3923, 527, 279, 12195, 315, 8395, 412, 369, 8420, 5380, 25732, 7487, 1253, 387, 5423, 38097, 311, 9548, 8395, 412, 2533, 2697, 62849, 872, 990, 323, 2162, 2324, 13, 578, 31293, 315, 1694, 1054, 263, 863, 15320, 11141, 2697, 892, 311, 10160, 1523, 323, 2543, 990, 1022, 627, 626, 676, 374, 31352, 13, 15371, 8128, 11, 2466, 7224, 11, 323, 810, 649, 682, 4546, 389, 18547, 627, 626, 676, 4536, 1431, 14647, 3958, 13, 362, 2697, 8631, 649, 387, 264, 1695, 12521, 859, 13, 4452, 11, 994, 8631, 8741, 21356, 927, 892, 11, 433, 649, 1212, 311, 10051, 1523, 701, 5687, 627, 2028, 374, 994, 8395, 412, 1253, 743, 304, 13, 18530, 412, 21667, 5196, 439, 264, 6996, 315, 25835, 11, 1469, 19682, 11, 323, 834, 833, 3531, 627, 21279, 990, 323, 19433, 14228, 4819, 649, 5353, 8395, 412, 627, 2688, 3515, 2585, 927, 701, 990, 13, 1115, 649, 3621, 994, 8420, 2733, 814, 617, 912, 2019, 927, 2574, 430, 5536, 872, 990, 11, 1778, 439, 990, 9899, 11, 32272, 11, 58982, 11, 323, 54696, 627, 43, 474, 315, 279, 5070, 311, 636, 279, 2683, 2884, 13, 1442, 8420, 1541, 1431, 617, 279, 1862, 477, 7526, 311, 22829, 872, 990, 11, 420, 11621, 5217, 990, 8631, 627, 17995, 811, 7784, 1431, 2867, 13, 2876, 14392, 7041, 1148, 3966, 311, 387, 27332, 649, 617, 264, 74109, 2515, 389, 8420, 627, 6919, 2050, 3674, 4819, 13, 74658, 29213, 520, 990, 1606, 315, 47989, 990, 30295, 649, 1935, 264, 6908, 26936, 389, 8420, 529, 8631, 5990, 627, 6919, 374, 2288, 26192, 13, 19863, 398, 1579, 8631, 5990, 4560, 311, 3449, 19738, 58982, 323, 4686, 2466, 7224, 649, 3063, 311, 8395, 412, 927, 892, 627, 6720, 4207, 13, 22938, 2288, 1690, 4207, 3445, 430, 279, 990, 26928, 8335, 10631, 2288, 3117, 7119, 990, 0, 1115, 649, 5387, 5687, 61508, 323, 43251, 627, 2688, 3515, 264, 1862, 4009, 13, 20636, 4885, 323, 3070, 311, 3137, 311, 439, 459, 14604, 1862, 1887, 374, 9193, 3062, 13, 1442, 5687, 3250, 1431, 617, 430, 3674, 4009, 11, 814, 3207, 6965, 311, 1212, 8430, 8395, 412, 627, 2460, 990, 323, 912, 1514, 13, 3277, 990, 5097, 709, 682, 1455, 48728, 4207, 11, 8420, 1541, 1431, 1935, 892, 311, 3674, 553, 11, 47923, 11, 323, 27116, 1022, 279, 990, 1316, 13, 45773, 990, 26928, 8335, 374, 264, 11191, 75283, 369, 10723, 2890, 28970, 627, 2688, 3794, 3403, 6212, 13, 24708, 374, 16595, 311, 1475, 734, 315, 279, 2547, 323, 8271, 0, 17586, 3403, 6212, 11, 701, 2128, 690, 4461, 1212, 8430, 279, 6372, 315, 8395, 412, 11, 323, 8631, 690, 387, 16127, 311, 10299, 627, 51197, 389, 2288, 1790, 990, 477, 2288, 1690, 28423, 13, 44741, 1253, 387, 3318, 2539, 892, 5636, 40583, 311, 24826, 872, 6980, 529, 7411, 11, 17677, 74413, 11, 20256, 279, 1828, 2363, 6469, 11, 323, 810, 13, 36925, 389, 2288, 1690, 28423, 320, 17206, 2523, 6305, 16715, 649, 3063, 311, 8395, 412, 627, 67313, 412, 649, 387, 264, 53722, 1920, 430, 1922, 7270, 709, 389, 701, 2128, 14297, 13, 2435, 2643, 2873, 1120, 264, 2697, 1629, 1523, 1457, 11, 719, 8395, 412, 374, 40944, 323, 9731, 311, 27402, 709, 422, 2163, 653, 5102, 291, 13, 43897, 5627, 311, 8108, 701, 2128, 753, 8631, 1457, 690, 264, 1653, 904, 3682, 31085, 82, 1523, 279, 5754, 627, 8586, 527, 220, 20, 12195, 315, 9548, 8395, 412, 11, 5636, 10631, 389, 1268, 311, 1520, 701, 2128, 10299, 8395, 412, 627, 75586, 889, 527, 653, 306, 13092, 72, 5174, 922, 872, 7032, 8356, 3428, 22867, 990, 627, 3947, 527, 1690, 8125, 459, 9548, 2643, 387, 834, 833, 3359, 505, 279, 990, 323, 2683, 9256, 11, 323, 1063, 315, 1521, 8125, 649, 387, 32098, 627, 2520, 2937, 11, 994, 8420, 7784, 1431, 30844, 1639, 369, 6848, 389, 2883, 10396, 477, 24009, 11429, 11, 433, 690, 14243, 38974, 872, 20392, 627, 25729, 433, 753, 264, 4947, 2349, 11, 264, 19092, 27137, 11, 477, 24009, 264, 502, 2128, 4562, 11, 701, 8420, 1390, 520, 3325, 264, 2697, 2019, 304, 279, 5030, 13, 1789, 2937, 11, 433, 753, 2744, 264, 1695, 4623, 311, 636, 9548, 1988, 2391, 1063, 6566, 315, 264, 24009, 1920, 311, 8720, 1268, 5127, 11321, 922, 264, 4754, 9322, 13, 6104, 279, 17139, 24009, 5597, 1253, 10457, 304, 279, 6206, 315, 279, 12432, 477, 23096, 10783, 11, 701, 1510, 8420, 1390, 311, 1440, 430, 499, 907, 872, 9647, 389, 889, 1053, 1304, 459, 9250, 5369, 311, 872, 2128, 627, 791, 1401, 311, 10671, 17045, 520, 990, 374, 30598, 922, 279, 15632, 13, 44741, 889, 617, 810, 51360, 304, 872, 1938, 4791, 11477, 990, 690, 8356, 279, 1888, 3135, 627, 4599, 9256, 527, 2163, 64716, 477, 9099, 21294, 1212, 9204, 709, 15870, 11, 433, 753, 4461, 701, 8420, 527, 927, 71214, 13, 3277, 7487, 527, 259, 6285, 3090, 1475, 1938, 311, 2567, 389, 1948, 315, 279, 1455, 9200, 9256, 11, 24359, 636, 4018, 627, 791, 5353, 369, 420, 1436, 387, 264, 88938, 304, 279, 1648, 264, 2447, 11031, 4741, 11, 6926, 89508, 11, 477, 279, 1396, 315, 9256, 323, 28423, 459, 9548, 706, 627, 1692, 11467, 1288, 63652, 1268, 311, 1304, 279, 990, 8831, 369, 279, 8420, 779, 814, 649, 8356, 279, 4367, 990, 499, 22163, 1124, 369, 627, 27264, 8420, 311, 1304, 264, 1160, 315, 279, 9256, 814, 656, 430, 1935, 709, 810, 315, 872, 892, 1109, 814, 7070, 1093, 13, 12522, 1124, 1160, 1148, 814, 3604, 656, 11, 539, 1120, 1148, 753, 304, 872, 2683, 4096, 13, 21069, 1124, 1268, 814, 527, 15194, 872, 9256, 11, 323, 1212, 264, 21976, 922, 26206, 10631, 627, 7560, 61140, 8420, 311, 617, 264, 26569, 4623, 315, 1148, 814, 649, 11322, 304, 264, 1938, 323, 38263, 279, 17078, 627, 23030, 3966, 311, 9020, 311, 9548, 6848, 922, 18899, 279, 990, 1920, 13, 12838, 832, 9476, 15320, 3412, 709, 1023, 26280, 11, 6968, 42834, 892, 369, 5127, 775, 30, 1442, 779, 11, 1268, 649, 433, 387, 32098, 5380, 1688, 452, 344, 9491, 11, 584, 22118, 420, 4360, 555, 3515, 2360, 30155, 6658, 4978, 14097, 13, 44741, 527, 1101, 1949, 311, 54321, 872, 58344, 22736, 422, 814, 1205, 311, 656, 5655, 990, 627, 17020, 287, 89508, 323, 5754, 22692, 690, 1520, 18979, 8631, 323, 8395, 412, 627, 1687, 682, 1440, 430, 8631, 3727, 1274, 14363, 13, 763, 5369, 311, 46301, 701, 40368, 11, 1070, 527, 279, 31352, 2547, 264, 8696, 323, 36366, 24569, 430, 2586, 3235, 449, 2288, 1690, 4207, 389, 279, 9042, 382, 82214, 430, 449, 8009, 10173, 11, 40240, 6212, 37869, 11, 323, 539, 3403, 10368, 50004, 17037, 23828, 3422, 449, 927, 21837, 17223, 8395, 412, 374, 31352, 627, 626, 676, 6373, 374, 9200, 369, 701, 2890, 323, 369, 27252, 990, 14228, 8395, 412, 627, 27831, 23234, 649, 1431, 1755, 311, 2543, 264, 12128, 753, 2890, 2212, 389, 872, 1866, 11, 3339, 39890, 264, 10844, 520, 990, 649, 12207, 5536, 32027, 2890, 369, 279, 2731, 627, 2675, 649, 1101, 3493, 8420, 264, 10723, 2890, 2068, 477, 469, 2599, 430, 690, 3493, 2680, 311, 17479, 6989, 11, 33862, 16079, 11, 6212, 1812, 31767, 11, 323, 810, 311, 1520, 8420, 10299, 872, 2890, 627, 97602, 459, 26613, 1396, 315, 2919, 1022, 690, 733, 264, 1317, 1648, 304, 10494, 701, 7487, 304, 11813, 8338, 6211, 627, 12389, 499, 14000, 430, 8420, 617, 1027, 264, 2697, 810, 73623, 4633, 1109, 13783, 30, 3011, 753, 264, 11191, 1879, 315, 9548, 8395, 412, 13, 1442, 63683, 374, 3428, 11, 814, 4070, 2751, 264, 2763, 389, 872, 12235, 11, 477, 814, 3207, 8430, 2073, 6283, 3340, 11, 814, 1253, 4546, 264, 3958, 19451, 311, 990, 627, 14139, 389, 98042, 13, 1102, 374, 7718, 311, 11886, 5435, 2391, 701, 16659, 11, 719, 387, 2771, 311, 3137, 922, 701, 8420, 529, 53881, 323, 1268, 814, 4070, 1027, 63082, 13, 1442, 499, 8335, 704, 3575, 99246, 449, 32689, 1148, 753, 2736, 3318, 11, 433, 4805, 387, 8831, 369, 5127, 311, 4822, 6928, 627, 3563, 264, 10652, 922, 10723, 2890, 555, 7556, 922, 1148, 706, 9087, 499, 37586, 449, 8631, 1105, 627, 8238, 2771, 701, 8420, 7784, 1431, 75691, 13, 4343, 3502, 449, 701, 2128, 11, 2610, 1124, 1148, 814, 3207, 10374, 872, 892, 389, 11, 323, 1505, 264, 1648, 311, 1520, 1124, 8335, 872, 28423, 13, 362, 9498, 990, 26928, 8335, 374, 7718, 311, 31526, 8395, 412, 627, 1688, 452, 344, 9491, 11, 584, 10795, 1057, 2128, 3131, 824, 8502, 311, 1817, 872, 990, 26928, 8335, 323, 54696, 323, 7652, 28178, 627, 8586, 527, 1063, 15174, 358, 4639, 7931, 994, 814, 527, 16066, 505, 8395, 412, 13, 4314, 220, 19, 15174, 690, 1520, 499, 15641, 1268, 8395, 412, 5039, 709, 369, 499, 11, 323, 1268, 311, 5471, 433, 505, 594, 30463, 4628, 1523, 279, 5754, 627, 24762, 1268, 8395, 412, 5039, 709, 369, 499, 13, 578, 5915, 374, 311, 1212, 311, 15641, 701, 12195, 315, 8395, 412, 6931, 323, 6931, 779, 499, 649, 5766, 20252, 704, 627, 6919, 26928, 23546, 527, 16996, 311, 27252, 8395, 412, 13, 9934, 311, 617, 264, 13263, 14348, 323, 9320, 57679, 627, 2520, 2937, 11, 422, 499, 3197, 311, 990, 505, 220, 24, 311, 220, 20, 1855, 1938, 11, 1456, 4737, 264, 4321, 520, 220, 23, 25, 966, 323, 220, 20, 311, 1520, 499, 9320, 1990, 279, 1403, 627, 7927, 14348, 690, 1520, 8108, 279, 1396, 315, 11429, 499, 1304, 1855, 1938, 11, 10695, 311, 8108, 8395, 412, 5326, 627, 2059, 332, 701, 5274, 6134, 994, 499, 3207, 2884, 449, 990, 13, 12268, 1022, 22736, 13, 20474, 430, 36567, 3201, 320, 438, 4737, 892, 1022, 16715, 690, 1520, 499, 387, 810, 27331, 323, 8599, 994, 499, 527, 3318, 627, 18293, 892, 311, 5357, 389, 6261, 779, 499, 649, 4822, 9498, 13, 10323, 41206, 4536, 1431, 45743, 44603, 374, 7718, 4999, 91057, 922, 701, 28970, 649, 1520, 499, 656, 682, 315, 279, 3485, 627, 1687, 527, 8967, 311, 3974, 304, 4029, 13, 4418, 1431, 733, 520, 433, 7636, 0, 7531, 84055, 11, 4885, 11, 477, 3070, 3697, 430, 3021, 323, 2512, 922, 499, 323, 430, 499, 649, 2389, 579, 304, 13, 7531, 459, 39242, 8427, 311, 1520, 499, 9396, 311, 701, 990, 26928, 30597, 627, 91057, 433, 704, 374, 20134, 11, 719, 433, 39990, 21730, 323, 19662, 13537, 449, 3885, 627, 2520, 810, 389, 1521, 15174, 11, 1817, 704, 220, 1187, 25, 966, 323, 389, 3770, 627, 8586, 527, 1063, 9908, 499, 649, 4430, 449, 701, 2128, 311, 1520, 1124, 37586, 449, 8631, 323, 8395, 412, 627, 1687, 3987, 1521, 10631, 1520, 701, 2128, 5471, 323, 2686, 8395, 412, 0, 20474, 430, 8395, 412, 374, 81193, 323, 4725, 13, 44741, 690, 1212, 311, 34782, 1203, 439, 10723, 2890, 11, 8405, 11302, 11, 323, 20958, 990, 26928, 8335, 3719, 264, 10844, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028 ]
2,029
[ 128000, 17812, 11814, 482, 29680, 315, 6875, 1005, 389, 279, 1664, 33851, 315, 9191, 1274, 198, 33703, 420, 3495, 64158, 20797, 1511, 279, 21981, 9983, 4470, 6716, 12914, 11, 264, 3495, 1646, 1511, 555, 279, 51677, 11, 20797, 323, 39104, 10706, 11, 311, 19874, 279, 22622, 3674, 7720, 315, 6875, 1005, 369, 9191, 1274, 11, 602, 1770, 13, 22311, 1274, 11, 8104, 1884, 20330, 220, 2075, 323, 927, 1210, 320, 679, 16, 340, 17812, 11814, 482, 29680, 315, 6875, 1005, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 17812, 11814, 482, 29680, 315, 6875, 1005, 389, 279, 1664, 33851, 315, 9191, 1274, 198, 33703, 420, 3495, 64158, 20797, 1511, 279, 21981, 9983, 4470, 6716, 12914, 11, 264, 3495, 1646, 1511, 555, 279, 51677, 11, 20797, 323, 39104, 10706, 11, 311, 19874, 279, 22622, 3674, 7720, 315, 6875, 1005, 369, 9191, 1274, 11, 602, 1770, 13, 22311, 1274, 11, 8104, 1884, 20330, 220, 2075, 323, 927, 1210, 320, 679, 16, 340, 17812, 11814, 482, 29680, 315, 6875, 1005, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80 ]
81
[ 128000, 5479, 20288, 198, 13601, 1113, 505, 37355, 304, 279, 220, 4468, 15, 596, 11, 420, 7102, 315, 31555, 26435, 1274, 902, 374, 30056, 369, 523, 324, 3714, 323, 13179, 864, 1065, 389, 279, 41660, 315, 69489, 315, 7795, 3278, 13, 5767, 29875, 299, 596, 8965, 16025, 7119, 10043, 658, 677, 38995, 53285, 9515, 320, 9210, 527, 305, 6985, 7621, 8, 323, 305, 1113, 389, 1023, 16757, 21234, 1778, 439, 14337, 7980, 8548, 71, 323, 1070, 374, 1063, 3776, 36157, 21389, 304, 1070, 15038, 11, 4762, 1234, 279, 1913, 29875, 299, 596, 3450, 596, 4950, 627, 39125, 499, 357, 92916, 1913, 29875, 299, 11, 3780, 264, 502, 1841, 430, 3507, 6542, 43627, 25349, 58387, 287, 45921, 39803, 627, 1729, 13947, 5532, 1551, 89, 6841, 220, 777, 11, 220, 1049, 22, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 5479, 20288, 198, 13601, 1113, 505, 37355, 304, 279, 220, 4468, 15, 596, 11, 420, 7102, 315, 31555, 26435, 1274, 902, 374, 30056, 369, 523, 324, 3714, 323, 13179, 864, 1065, 389, 279, 41660, 315, 69489, 315, 7795, 3278, 13, 5767, 29875, 299, 596, 8965, 16025, 7119, 10043, 658, 677, 38995, 53285, 9515, 320, 9210, 527, 305, 6985, 7621, 8, 323, 305, 1113, 389, 1023, 16757, 21234, 1778, 439, 14337, 7980, 8548, 71, 323, 1070, 374, 1063, 3776, 36157, 21389, 304, 1070, 15038, 11, 4762, 1234, 279, 1913, 29875, 299, 596, 3450, 596, 4950, 627, 39125, 499, 357, 92916, 1913, 29875, 299, 11, 3780, 264, 502, 1841, 430, 3507, 6542, 43627, 25349, 58387, 287, 45921, 39803, 627, 1729, 13947, 5532, 1551, 89, 6841, 220, 777, 11, 220, 1049, 22, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130 ]
131
[ 128000, 11461, 635, 10705, 16131, 735, 581, 22026, 16607, 1071, 433, 706, 1903, 264, 3682, 42445, 304, 279, 5788, 315, 11863, 41327, 95273, 1701, 264, 502, 57340, 22658, 1920, 430, 60944, 279, 1005, 315, 21503, 26333, 627, 791, 95273, 94536, 1749, 5829, 1193, 2536, 4791, 14668, 4382, 33969, 430, 527, 31368, 2561, 304, 69894, 323, 60944, 279, 1005, 315, 17055, 27256, 27456, 13935, 902, 279, 2883, 2795, 374, 5131, 1511, 555, 682, 24190, 315, 11863, 65251, 95273, 627, 791, 42688, 22658, 1920, 3135, 505, 1296, 990, 323, 279, 82285, 25107, 16035, 520, 279, 2883, 596, 469, 857, 9509, 16946, 304, 69894, 13, 362, 94536, 1920, 28555, 3759, 374, 1694, 34440, 311, 55190, 279, 10565, 7194, 13, 578, 31293, 374, 430, 6864, 323, 10565, 7194, 690, 387, 3428, 13, 59090, 287, 315, 279, 94536, 1920, 374, 1457, 1694, 27313, 627, 42, 581, 22026, 1071, 433, 374, 304, 20954, 449, 6522, 459, 536, 17032, 304, 5734, 11, 6457, 323, 12126, 11, 323, 706, 4036, 6928, 11302, 389, 279, 6012, 315, 1202, 469, 857, 9509, 95273, 627, 791, 2883, 1071, 279, 42688, 22658, 1920, 20628, 7327, 23261, 13332, 16565, 323, 4435, 8715, 5856, 10886, 13, 1102, 13919, 459, 57340, 11919, 5788, 1920, 369, 11863, 41327, 95273, 690, 387, 264, 3938, 16686, 505, 459, 536, 3769, 323, 11863, 24190, 627, 99729, 7690, 13929, 3165, 15872, 1071, 279, 502, 1920, 690, 7945, 735, 581, 22026, 311, 9966, 264, 3544, 13651, 315, 279, 11863, 95273, 3157, 627, 1548, 1101, 1071, 279, 36721, 374, 48513, 369, 5933, 1344, 731, 95273, 323, 11863, 65251, 95273, 7729, 4245, 311, 7859, 14028, 315, 459, 536, 15266, 8824, 311, 3449, 3685, 7631, 26, 7859, 7729, 4245, 311, 10423, 12434, 7410, 389, 95273, 24190, 304, 5734, 369, 2225, 5933, 1344, 731, 95273, 323, 28367, 95273, 26, 323, 264, 3157, 39259, 315, 1579, 22867, 11863, 41327, 95273, 627, 22818, 279, 7319, 7631, 11, 279, 2883, 374, 17951, 287, 1202, 69543, 4007, 369, 279, 5788, 315, 11863, 41327, 95273, 13, 578, 65251, 95273, 69543, 4007, 374, 3685, 311, 387, 8308, 420, 8502, 1306, 279, 1620, 2065, 315, 279, 26329, 990, 369, 279, 94536, 1920, 323, 17626, 5788, 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 ]
[ 128000, 11461, 635, 10705, 16131, 735, 581, 22026, 16607, 1071, 433, 706, 1903, 264, 3682, 42445, 304, 279, 5788, 315, 11863, 41327, 95273, 1701, 264, 502, 57340, 22658, 1920, 430, 60944, 279, 1005, 315, 21503, 26333, 627, 791, 95273, 94536, 1749, 5829, 1193, 2536, 4791, 14668, 4382, 33969, 430, 527, 31368, 2561, 304, 69894, 323, 60944, 279, 1005, 315, 17055, 27256, 27456, 13935, 902, 279, 2883, 2795, 374, 5131, 1511, 555, 682, 24190, 315, 11863, 65251, 95273, 627, 791, 42688, 22658, 1920, 3135, 505, 1296, 990, 323, 279, 82285, 25107, 16035, 520, 279, 2883, 596, 469, 857, 9509, 16946, 304, 69894, 13, 362, 94536, 1920, 28555, 3759, 374, 1694, 34440, 311, 55190, 279, 10565, 7194, 13, 578, 31293, 374, 430, 6864, 323, 10565, 7194, 690, 387, 3428, 13, 59090, 287, 315, 279, 94536, 1920, 374, 1457, 1694, 27313, 627, 42, 581, 22026, 1071, 433, 374, 304, 20954, 449, 6522, 459, 536, 17032, 304, 5734, 11, 6457, 323, 12126, 11, 323, 706, 4036, 6928, 11302, 389, 279, 6012, 315, 1202, 469, 857, 9509, 95273, 627, 791, 2883, 1071, 279, 42688, 22658, 1920, 20628, 7327, 23261, 13332, 16565, 323, 4435, 8715, 5856, 10886, 13, 1102, 13919, 459, 57340, 11919, 5788, 1920, 369, 11863, 41327, 95273, 690, 387, 264, 3938, 16686, 505, 459, 536, 3769, 323, 11863, 24190, 627, 99729, 7690, 13929, 3165, 15872, 1071, 279, 502, 1920, 690, 7945, 735, 581, 22026, 311, 9966, 264, 3544, 13651, 315, 279, 11863, 95273, 3157, 627, 1548, 1101, 1071, 279, 36721, 374, 48513, 369, 5933, 1344, 731, 95273, 323, 11863, 65251, 95273, 7729, 4245, 311, 7859, 14028, 315, 459, 536, 15266, 8824, 311, 3449, 3685, 7631, 26, 7859, 7729, 4245, 311, 10423, 12434, 7410, 389, 95273, 24190, 304, 5734, 369, 2225, 5933, 1344, 731, 95273, 323, 28367, 95273, 26, 323, 264, 3157, 39259, 315, 1579, 22867, 11863, 41327, 95273, 627, 22818, 279, 7319, 7631, 11, 279, 2883, 374, 17951, 287, 1202, 69543, 4007, 369, 279, 5788, 315, 11863, 41327, 95273, 13, 578, 65251, 95273, 69543, 4007, 374, 3685, 311, 387, 8308, 420, 8502, 1306, 279, 1620, 2065, 315, 279, 26329, 990, 369, 279, 94536, 1920, 323, 17626, 5788, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354 ]
355
[ 128000, 2675, 527, 2728, 264, 11914, 304, 43288, 13, 4718, 2683, 374, 311, 15025, 279, 43288, 11914, 1139, 15506, 627, 29765, 14924, 25, 92766, 1826, 1553, 336, 43732, 5670, 409, 73663, 384, 1172, 1799, 15715, 40843, 7565, 1122, 300, 11, 18205, 76181, 18205, 11, 30805, 1826, 1553, 336, 409, 282, 28154, 300, 11, 384, 12674, 305, 15170, 308, 13102, 17060, 43914, 53187, 409, 46075, 3429, 29413, 277, 384, 951, 7864, 277, 2709, 83264, 2353, 11, 6033, 30805, 282, 71943, 264, 96158, 384, 12674, 259, 1553, 336, 10732, 376, 292, 9252, 11, 48591, 29960, 300, 47289, 8892, 15540, 293, 86366, 1995, 53310, 6348, 3496, 72107, 264, 28963, 277, 3709, 598, 3963, 12826, 11, 409, 22544, 31469, 66780, 384, 82226, 9157, 13, 507, 83132, 2649, 13, 320, 32, 501, 12119, 437, 8, 320, 32, 501, 12119, 437, 696, 16533, 25, 89014, 42939, 43732, 5670, 409, 73663, 379, 27976, 277, 5252, 7565, 1122, 300, 15887, 2537, 46180, 11, 27443, 42939, 409, 9467, 12712, 379, 912, 18137, 34634, 648, 2537, 35018, 409, 46075, 1744, 3289, 79021, 379, 1469, 4768, 2537, 58316, 14357, 11, 297, 27443, 18137, 653, 1469, 351, 3244, 379, 513, 60286, 276, 7589, 9249, 5969, 11, 45886, 293, 318, 1955, 645, 47289, 8892, 17038, 58548, 11644, 39974, 4988, 7589, 6697, 598, 78, 11, 409, 44992, 31469, 66780, 379, 3429, 42698, 13, 2895, 43542, 13, 320, 32, 501, 12119, 437, 8, 320, 32, 501, 12119, 437, 3707, 14924, 25, 469, 1620, 12826, 11, 264, 11081, 1224, 25334, 300, 382, 16533, 25, 816, 4247, 62578, 11, 34280, 276, 4355, 4286, 14924, 25, 473, 1995, 51441, 38101, 11, 15925, 19972, 689, 34850, 33015, 297, 1744, 11639, 4543, 41236, 59182, 382, 16533, 512, 39, 580, 220, 17, 27846, 11, 19972, 7583, 4839, 9157, 55996, 11639, 653, 41236, 86958, 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 ]
[ 128000, 2675, 527, 2728, 264, 11914, 304, 43288, 13, 4718, 2683, 374, 311, 15025, 279, 43288, 11914, 1139, 15506, 627, 29765, 14924, 25, 92766, 1826, 1553, 336, 43732, 5670, 409, 73663, 384, 1172, 1799, 15715, 40843, 7565, 1122, 300, 11, 18205, 76181, 18205, 11, 30805, 1826, 1553, 336, 409, 282, 28154, 300, 11, 384, 12674, 305, 15170, 308, 13102, 17060, 43914, 53187, 409, 46075, 3429, 29413, 277, 384, 951, 7864, 277, 2709, 83264, 2353, 11, 6033, 30805, 282, 71943, 264, 96158, 384, 12674, 259, 1553, 336, 10732, 376, 292, 9252, 11, 48591, 29960, 300, 47289, 8892, 15540, 293, 86366, 1995, 53310, 6348, 3496, 72107, 264, 28963, 277, 3709, 598, 3963, 12826, 11, 409, 22544, 31469, 66780, 384, 82226, 9157, 13, 507, 83132, 2649, 13, 320, 32, 501, 12119, 437, 8, 320, 32, 501, 12119, 437, 696, 16533, 25, 89014, 42939, 43732, 5670, 409, 73663, 379, 27976, 277, 5252, 7565, 1122, 300, 15887, 2537, 46180, 11, 27443, 42939, 409, 9467, 12712, 379, 912, 18137, 34634, 648, 2537, 35018, 409, 46075, 1744, 3289, 79021, 379, 1469, 4768, 2537, 58316, 14357, 11, 297, 27443, 18137, 653, 1469, 351, 3244, 379, 513, 60286, 276, 7589, 9249, 5969, 11, 45886, 293, 318, 1955, 645, 47289, 8892, 17038, 58548, 11644, 39974, 4988, 7589, 6697, 598, 78, 11, 409, 44992, 31469, 66780, 379, 3429, 42698, 13, 2895, 43542, 13, 320, 32, 501, 12119, 437, 8, 320, 32, 501, 12119, 437, 3707, 14924, 25, 469, 1620, 12826, 11, 264, 11081, 1224, 25334, 300, 382, 16533, 25, 816, 4247, 62578, 11, 34280, 276, 4355, 4286, 14924, 25, 473, 1995, 51441, 38101, 11, 15925, 19972, 689, 34850, 33015, 297, 1744, 11639, 4543, 41236, 59182, 382, 16533, 512, 39, 580, 220, 17, 27846, 11, 19972, 7583, 4839, 9157, 55996, 11639, 653, 41236, 86958, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293 ]
294
[ 128000, 40, 13434, 956, 617, 6818, 420, 520, 220, 18, 14, 19, 309, 2355, 791, 1193, 832, 358, 1436, 1505, 369, 2771, 574, 459, 510, 6219, 21336, 9725, 2485, 1129, 2185, 13, 1626, 8194, 916, 14, 1626, 25, 20617, 13121, 24, 8, 389, 3245, 8194, 271, 2028, 574, 279, 18585, 358, 1436, 1505, 311, 510, 36, 89, 1466, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 60589, 14, 18, 67, 43245, 12, 880, 30223, 2902, 820, 19308, 460, 265, 8437, 16, 12, 2550, 20615, 8, 320, 93057, 13452, 872, 89263, 3060, 3995, 477, 342, 438, 3181, 696, 333, 499, 8330, 396, 2216, 2653, 11, 510, 2257, 6398, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 35765, 3213, 7534, 3601, 2269, 86300, 12, 843, 3906, 13230, 12, 5728, 8, 3460, 64, 3284, 11, 510, 78218, 969, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 60589, 14, 18, 67, 43245, 12, 18375, 5724, 76827, 582, 9334, 70095, 31717, 11893, 12, 9367, 23654, 8, 5675, 1077, 20827, 11, 323, 510, 27814, 285, 13327, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 35765, 3213, 6801, 12011, 12, 491, 35915, 44823, 12, 20, 291, 19711, 1135, 65, 23505, 20, 8, 58050, 704, 10094, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 40, 13434, 956, 617, 6818, 420, 520, 220, 18, 14, 19, 309, 2355, 791, 1193, 832, 358, 1436, 1505, 369, 2771, 574, 459, 510, 6219, 21336, 9725, 2485, 1129, 2185, 13, 1626, 8194, 916, 14, 1626, 25, 20617, 13121, 24, 8, 389, 3245, 8194, 271, 2028, 574, 279, 18585, 358, 1436, 1505, 311, 510, 36, 89, 1466, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 60589, 14, 18, 67, 43245, 12, 880, 30223, 2902, 820, 19308, 460, 265, 8437, 16, 12, 2550, 20615, 8, 320, 93057, 13452, 872, 89263, 3060, 3995, 477, 342, 438, 3181, 696, 333, 499, 8330, 396, 2216, 2653, 11, 510, 2257, 6398, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 35765, 3213, 7534, 3601, 2269, 86300, 12, 843, 3906, 13230, 12, 5728, 8, 3460, 64, 3284, 11, 510, 78218, 969, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 60589, 14, 18, 67, 43245, 12, 18375, 5724, 76827, 582, 9334, 70095, 31717, 11893, 12, 9367, 23654, 8, 5675, 1077, 20827, 11, 323, 510, 27814, 285, 13327, 9725, 2485, 1129, 2185, 12905, 1083, 333, 2992, 916, 35765, 3213, 6801, 12011, 12, 491, 35915, 44823, 12, 20, 291, 19711, 1135, 65, 23505, 20, 8, 58050, 704, 10094, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202 ]
203
[ 128000, 59883, 3309, 603, 3131, 430, 584, 3207, 539, 4832, 11, 433, 574, 5115, 264, 10988, 13, 8489, 11, 1667, 3010, 584, 2103, 1304, 21294, 13, 1442, 499, 1505, 264, 10077, 11, 584, 7070, 1093, 311, 6865, 922, 433, 13, 4418, 1431, 387, 33394, 11, 304, 2144, 387, 49770, 13, 1226, 1205, 16945, 6821, 505, 1057, 8403, 311, 7417, 1057, 6130, 2532, 627, 31151, 31601, 29140, 512, 36227, 603, 264, 4686, 4096, 315, 279, 1493, 13, 2893, 2771, 311, 2997, 512, 12, 1148, 2199, 499, 1051, 389, 345, 12, 1148, 1887, 499, 1005, 320, 21470, 439, 5632, 25836, 1350, 12, 323, 1148, 7074, 499, 1005, 320, 21470, 439, 8191, 30252, 220, 20, 13, 15, 4390, 2746, 499, 1505, 264, 10077, 304, 1057, 2199, 11, 4587, 1095, 603, 1440, 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 ]
[ 128000, 59883, 3309, 603, 3131, 430, 584, 3207, 539, 4832, 11, 433, 574, 5115, 264, 10988, 13, 8489, 11, 1667, 3010, 584, 2103, 1304, 21294, 13, 1442, 499, 1505, 264, 10077, 11, 584, 7070, 1093, 311, 6865, 922, 433, 13, 4418, 1431, 387, 33394, 11, 304, 2144, 387, 49770, 13, 1226, 1205, 16945, 6821, 505, 1057, 8403, 311, 7417, 1057, 6130, 2532, 627, 31151, 31601, 29140, 512, 36227, 603, 264, 4686, 4096, 315, 279, 1493, 13, 2893, 2771, 311, 2997, 512, 12, 1148, 2199, 499, 1051, 389, 345, 12, 1148, 1887, 499, 1005, 320, 21470, 439, 5632, 25836, 1350, 12, 323, 1148, 7074, 499, 1005, 320, 21470, 439, 8191, 30252, 220, 20, 13, 15, 4390, 2746, 499, 1505, 264, 10077, 304, 1057, 2199, 11, 4587, 1095, 603, 1440, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129 ]
130
[ 128000, 2181, 596, 264, 13326, 9178, 369, 75015, 2176, 45642, 20666, 5944, 2128, 11, 578, 8211, 1225, 58628, 60719, 13, 7418, 220, 1114, 339, 6841, 16008, 1124, 1935, 389, 435, 90068, 13345, 45642, 20666, 5944, 2128, 11, 578, 4366, 1764, 30555, 812, 13, 1102, 706, 1027, 927, 264, 1060, 323, 4376, 2533, 1521, 220, 17, 7411, 2322, 11, 2225, 3515, 66229, 872, 938, 12855, 323, 3217, 2533, 1243, 13, 15936, 3235, 311, 279, 12244, 34, 11, 75015, 2176, 311, 1518, 889, 690, 3243, 304, 1148, 374, 2771, 311, 387, 264, 1455, 13548, 25646, 627, 5519, 1105, 1825, 520, 220, 16, 13, 966, 5298, 449, 279, 25646, 7314, 520, 220, 17, 5298, 13, 36715, 527, 2561, 304, 12178, 369, 279, 11293, 3430, 315, 7083, 20, 54915, 21, 389, 279, 6134, 389, 279, 1938, 570, 2684, 690, 387, 36045, 505, 2225, 7411, 2561, 323, 6366, 48669, 41778, 555, 279, 1940, 11796, 14, 16541, 14, 2507, 46, 596, 5694, 4999, 2028, 374, 11112, 539, 311, 387, 13942, 13, 3580, 499, 3839, 3002, 369, 1063, 11406, 5703, 45642, 46873, 4999, 791, 16506, 369, 13527, 8638, 1618, 4999, 32, 27626, 311, 5127, 430, 279, 13326, 45642, 46873, 13470, 304, 6841, 374, 8104, 19937, 420, 7884, 11, 994, 32745, 578, 452, 1224, 548, 596, 16506, 315, 13527, 16520, 37350, 1022, 304, 800, 51868, 596, 330, 791, 44262, 23811, 6251, 40328, 220, 21, 7411, 505, 2212, 13527, 11, 2737, 19627, 596, 75015, 2176, 45642, 20666, 11, 6621, 339, 1122, 46873, 39857, 82, 323, 98778, 77, 4409, 15028, 388, 6, 10913, 33993, 388, 11, 279, 1567, 690, 1566, 279, 1938, 11, 323, 4668, 220, 966, 9568, 22165, 96271, 8272, 555, 220, 18, 2539, 3160, 330, 12085, 82, 1, 311, 8417, 23862, 627, 9619, 3649, 649, 387, 1766, 389, 279, 5690, 3749, 5874, 11, 323, 14741, 527, 505, 10690, 18343, 36715, 627, 39320, 819, 45642, 46873, 527, 4856, 12304, 311, 22203, 430, 264, 7347, 1396, 315, 350, 49760, 527, 1457, 2561, 13, 1666, 279, 5117, 374, 1629, 389, 264, 539, 369, 11626, 8197, 11, 682, 22613, 505, 279, 6412, 315, 420, 1629, 315, 259, 49760, 690, 733, 311, 1862, 279, 1828, 9659, 315, 1940, 11796, 520, 279, 435, 90068, 13345, 45642, 51143, 627, 9673, 527, 480, 699, 276, 25046, 3612, 37824, 304, 4251, 11, 17124, 449, 279, 27188, 45642, 46873, 364, 43, 290, 75670, 519, 20614, 1195, 6, 2955, 304, 3776, 13, 16528, 304, 2678, 14, 2106, 13631, 2812, 11009, 75, 323, 1101, 439, 264, 23628, 29441, 11298, 13, 1115, 374, 264, 7347, 1629, 315, 37824, 449, 264, 2646, 311, 387, 11763, 2955, 14, 48439, 10824, 11, 33705, 520, 7083, 605, 13, 1472, 649, 1505, 1124, 369, 6412, 520, 279, 14827, 435, 90068, 13345, 45642, 20666, 96271, 11, 477, 3729, 279, 51143, 477, 27188, 45642, 46873, 6089, 627, 4054, 6742, 649, 3243, 832, 315, 1521, 259, 49760, 11, 1120, 1505, 27188, 45642, 46873, 389, 5690, 11, 1093, 323, 4430, 279, 10937, 1772, 13, 362, 13946, 690, 387, 12146, 520, 4288, 323, 7376, 389, 7884, 279, 220, 24, 339, 315, 6841, 627, 1966, 7884, 220, 975, 6790, 220, 679, 18, 11, 578, 33172, 88, 426, 3695, 690, 3552, 264, 364, 23912, 20, 278, 6, 16520, 304, 41406, 596, 89842, 17469, 13482, 14821, 627, 54, 8843, 269, 45642, 20666, 21685, 279, 1176, 8242, 20, 278, 8815, 304, 5936, 220, 679, 17, 11, 323, 1457, 279, 3645, 315, 264, 4330, 7561, 25034, 11, 832, 11477, 16520, 706, 9041, 682, 2212, 279, 1917, 13, 4923, 11796, 505, 682, 279, 27188, 39459, 617, 1027, 18719, 311, 1376, 7411, 315, 220, 20, 311, 1935, 961, 304, 578, 33172, 88, 596, 1567, 11, 2737, 1080, 35535, 7411, 13, 362, 2478, 6498, 11, 46881, 323, 18088, 7411, 1253, 1524, 2477, 709, 389, 279, 1938, 4999, 791, 16520, 690, 387, 1825, 311, 279, 586, 449, 682, 22613, 2133, 311, 279, 11230, 2128, 596, 39048, 23693, 13, 16877, 279, 5690, 3749, 369, 279, 5652, 3754, 627, 37239, 7623, 1057, 4101, 315, 19905, 449, 27188, 9489, 3054, 388, 11, 584, 10791, 709, 449, 65594, 4409, 596, 4487, 474, 35, 23290, 9522, 4438, 1550, 499, 636, 3940, 38787, 369, 480, 9150, 38, 5380, 40, 1456, 323, 387, 439, 10235, 439, 3284, 13, 358, 4007, 279, 938, 12855, 439, 5246, 439, 358, 636, 1124, 11, 358, 3729, 279, 39459, 4737, 961, 304, 279, 25646, 323, 1518, 422, 1070, 374, 4205, 3230, 814, 1390, 757, 311, 3137, 922, 320, 28813, 14097, 11, 25438, 6743, 5099, 6266, 323, 358, 1304, 2771, 358, 617, 279, 1940, 11796, 6, 5144, 95246, 0, 4359, 1520, 757, 11, 1070, 374, 4400, 11201, 1109, 3794, 264, 1940, 11796, 6, 836, 5076, 0, 220, 22854, 374, 11, 220, 1954, 4, 315, 1148, 5466, 388, 656, 374, 389, 279, 11722, 439, 499, 527, 7556, 922, 279, 2489, 2133, 389, 304, 4156, 315, 499, 323, 14224, 499, 649, 1431, 3197, 904, 315, 430, 0, 18156, 11, 433, 753, 279, 1022, 279, 75523, 6392, 430, 5334, 279, 1888, 13010, 505, 279, 35851, 13, 43633, 1070, 374, 264, 15326, 1464, 304, 1514, 11, 358, 617, 1027, 3967, 311, 40320, 1139, 279, 13734, 323, 3820, 704, 1063, 315, 279, 1888, 12195, 323, 3137, 311, 1274, 922, 1124, 389, 279, 19748, 0, 1102, 753, 2294, 2523, 323, 433, 5334, 1274, 45830, 627, 2321, 49986, 1981, 15674, 315, 0, 358, 1541, 1431, 779, 1790, 4068, 349, 439, 358, 656, 42223, 323, 46789, 0, 358, 4344, 264, 38911, 369, 35101, 1054, 12840, 527, 499, 3815, 7801, 0, 1472, 12756, 13434, 1431, 617, 2884, 430, 0, 1472, 1288, 617, 2884, 1630, 30237, 11419, 18319, 358, 656, 617, 264, 2697, 2766, 315, 459, 9358, 1647, 77828, 3582, 13, 358, 3137, 311, 7182, 264, 2763, 6957, 279, 1938, 13, 358, 1505, 433, 8779, 757, 37455, 323, 6227, 1148, 358, 4344, 3815, 13, 358, 617, 311, 1304, 2771, 358, 1541, 1431, 656, 430, 994, 358, 4344, 38787, 91770, 96271, 1606, 358, 690, 4762, 5318, 466, 2555, 304, 1030, 38638, 323, 5255, 27873, 0, 1628, 10035, 11, 555, 9358, 1647, 77828, 11, 358, 656, 3152, 430, 16168, 55080, 3137, 704, 17813, 311, 7182, 627, 791, 1620, 315, 39118, 19687, 264, 2478, 4038, 4227, 304, 78903, 13, 1102, 753, 856, 19214, 369, 832, 2944, 1981, 38, 9150, 38, 2834, 279, 4459, 3245, 0, 10541, 439, 1664, 439, 1694, 856, 19214, 11, 433, 374, 1101, 856, 12047, 1606, 358, 574, 779, 12691, 315, 279, 7724, 3686, 358, 1047, 311, 7293, 6724, 68824, 279, 4459, 892, 13, 1102, 3604, 2751, 311, 279, 1486, 1405, 358, 1120, 4024, 11594, 1606, 422, 358, 3287, 1431, 11, 358, 574, 2133, 311, 16135, 0, 2468, 279, 842, 11, 358, 14760, 1523, 304, 24014, 1981, 3556, 7556, 389, 279, 19748, 0, 220, 358, 7070, 1101, 2019, 29433, 35, 6296, 13, 480, 9150, 38, 1606, 358, 2751, 311, 990, 449, 264, 12637, 36540, 8571, 11, 22022, 8560, 560, 0, 1226, 70904, 1022, 1855, 1023, 8755, 36419, 323, 1047, 459, 12738, 30903, 13, 1102, 574, 279, 1176, 892, 584, 2322, 11, 3686, 4395, 584, 1550, 1120, 35408, 779, 5933, 13, 85127, 433, 13, 3639, 656, 358, 1427, 4741, 311, 8260, 304, 279, 3938, 30, 8489, 11, 358, 9435, 311, 22203, 279, 11258, 753, 4435, 11098, 1828, 1060, 719, 311, 387, 6762, 11, 358, 4344, 4762, 539, 10534, 3403, 369, 430, 3686, 13, 358, 1053, 3021, 311, 656, 433, 323, 617, 2860, 10082, 304, 856, 1866, 5845, 11, 719, 1070, 527, 21577, 315, 1023, 12738, 1274, 889, 617, 9435, 779, 358, 1541, 1431, 66533, 1884, 889, 617, 311, 1304, 279, 1620, 5597, 4999, 6153, 65504, 2653, 304, 350, 804, 1643, 304, 6250, 11, 65594, 4409, 45642, 20666, 527, 1203, 449, 264, 25646, 304, 6664, 11, 20256, 311, 6621, 339, 1122, 46873, 39857, 82, 304, 264, 27711, 9178, 25646, 627, 2028, 690, 387, 6621, 339, 1122, 753, 4948, 25646, 311, 2457, 11, 323, 65594, 4409, 753, 4948, 2162, 25646, 315, 279, 1060, 1306, 41577, 264, 22150, 520, 279, 13011, 91499, 14821, 13, 1115, 690, 387, 264, 502, 3217, 369, 2225, 7411, 11, 439, 814, 617, 2646, 6476, 1855, 1023, 1603, 627, 791, 25646, 5097, 2035, 389, 7884, 11, 220, 1627, 339, 315, 6664, 13, 29318, 287, 709, 555, 70402, 374, 539, 2631, 719, 49737, 21190, 13, 2684, 690, 387, 264, 19692, 43793, 449, 49644, 43402, 320, 2201, 29862, 477, 32839, 4460, 11, 719, 1578, 11, 7701, 21190, 8, 439, 1664, 264, 436, 45190, 449, 682, 34555, 2133, 311, 2254, 51371, 13, 66125, 31770, 74673, 690, 387, 304, 279, 14321, 439, 1664, 439, 264, 25968, 15994, 11, 449, 904, 3300, 9408, 2133, 1203, 1139, 279, 2128, 311, 1304, 3938, 96271, 264, 8903, 627, 16298, 315, 682, 17051, 527, 18719, 311, 279, 25646, 11, 902, 374, 1949, 315, 6900, 320, 456, 1070, 4216, 311, 5766, 41698, 1389, 14365, 1825, 520, 220, 17, 5298, 449, 279, 25646, 6041, 520, 220, 18, 5298, 570, 2052, 584, 2610, 374, 5606, 1234, 220, 972, 23874, 3201, 505, 279, 18639, 1584, 311, 5766, 11134, 627, 8142, 14614, 499, 5895, 889, 690, 3243, 279, 1306, 4717, 11, 264, 810, 8475, 3488, 369, 420, 25646, 1253, 387, 889, 690, 617, 279, 1888, 32519, 30, 15936, 3235, 323, 1505, 704, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2181, 596, 264, 13326, 9178, 369, 75015, 2176, 45642, 20666, 5944, 2128, 11, 578, 8211, 1225, 58628, 60719, 13, 7418, 220, 1114, 339, 6841, 16008, 1124, 1935, 389, 435, 90068, 13345, 45642, 20666, 5944, 2128, 11, 578, 4366, 1764, 30555, 812, 13, 1102, 706, 1027, 927, 264, 1060, 323, 4376, 2533, 1521, 220, 17, 7411, 2322, 11, 2225, 3515, 66229, 872, 938, 12855, 323, 3217, 2533, 1243, 13, 15936, 3235, 311, 279, 12244, 34, 11, 75015, 2176, 311, 1518, 889, 690, 3243, 304, 1148, 374, 2771, 311, 387, 264, 1455, 13548, 25646, 627, 5519, 1105, 1825, 520, 220, 16, 13, 966, 5298, 449, 279, 25646, 7314, 520, 220, 17, 5298, 13, 36715, 527, 2561, 304, 12178, 369, 279, 11293, 3430, 315, 7083, 20, 54915, 21, 389, 279, 6134, 389, 279, 1938, 570, 2684, 690, 387, 36045, 505, 2225, 7411, 2561, 323, 6366, 48669, 41778, 555, 279, 1940, 11796, 14, 16541, 14, 2507, 46, 596, 5694, 4999, 2028, 374, 11112, 539, 311, 387, 13942, 13, 3580, 499, 3839, 3002, 369, 1063, 11406, 5703, 45642, 46873, 4999, 791, 16506, 369, 13527, 8638, 1618, 4999, 32, 27626, 311, 5127, 430, 279, 13326, 45642, 46873, 13470, 304, 6841, 374, 8104, 19937, 420, 7884, 11, 994, 32745, 578, 452, 1224, 548, 596, 16506, 315, 13527, 16520, 37350, 1022, 304, 800, 51868, 596, 330, 791, 44262, 23811, 6251, 40328, 220, 21, 7411, 505, 2212, 13527, 11, 2737, 19627, 596, 75015, 2176, 45642, 20666, 11, 6621, 339, 1122, 46873, 39857, 82, 323, 98778, 77, 4409, 15028, 388, 6, 10913, 33993, 388, 11, 279, 1567, 690, 1566, 279, 1938, 11, 323, 4668, 220, 966, 9568, 22165, 96271, 8272, 555, 220, 18, 2539, 3160, 330, 12085, 82, 1, 311, 8417, 23862, 627, 9619, 3649, 649, 387, 1766, 389, 279, 5690, 3749, 5874, 11, 323, 14741, 527, 505, 10690, 18343, 36715, 627, 39320, 819, 45642, 46873, 527, 4856, 12304, 311, 22203, 430, 264, 7347, 1396, 315, 350, 49760, 527, 1457, 2561, 13, 1666, 279, 5117, 374, 1629, 389, 264, 539, 369, 11626, 8197, 11, 682, 22613, 505, 279, 6412, 315, 420, 1629, 315, 259, 49760, 690, 733, 311, 1862, 279, 1828, 9659, 315, 1940, 11796, 520, 279, 435, 90068, 13345, 45642, 51143, 627, 9673, 527, 480, 699, 276, 25046, 3612, 37824, 304, 4251, 11, 17124, 449, 279, 27188, 45642, 46873, 364, 43, 290, 75670, 519, 20614, 1195, 6, 2955, 304, 3776, 13, 16528, 304, 2678, 14, 2106, 13631, 2812, 11009, 75, 323, 1101, 439, 264, 23628, 29441, 11298, 13, 1115, 374, 264, 7347, 1629, 315, 37824, 449, 264, 2646, 311, 387, 11763, 2955, 14, 48439, 10824, 11, 33705, 520, 7083, 605, 13, 1472, 649, 1505, 1124, 369, 6412, 520, 279, 14827, 435, 90068, 13345, 45642, 20666, 96271, 11, 477, 3729, 279, 51143, 477, 27188, 45642, 46873, 6089, 627, 4054, 6742, 649, 3243, 832, 315, 1521, 259, 49760, 11, 1120, 1505, 27188, 45642, 46873, 389, 5690, 11, 1093, 323, 4430, 279, 10937, 1772, 13, 362, 13946, 690, 387, 12146, 520, 4288, 323, 7376, 389, 7884, 279, 220, 24, 339, 315, 6841, 627, 1966, 7884, 220, 975, 6790, 220, 679, 18, 11, 578, 33172, 88, 426, 3695, 690, 3552, 264, 364, 23912, 20, 278, 6, 16520, 304, 41406, 596, 89842, 17469, 13482, 14821, 627, 54, 8843, 269, 45642, 20666, 21685, 279, 1176, 8242, 20, 278, 8815, 304, 5936, 220, 679, 17, 11, 323, 1457, 279, 3645, 315, 264, 4330, 7561, 25034, 11, 832, 11477, 16520, 706, 9041, 682, 2212, 279, 1917, 13, 4923, 11796, 505, 682, 279, 27188, 39459, 617, 1027, 18719, 311, 1376, 7411, 315, 220, 20, 311, 1935, 961, 304, 578, 33172, 88, 596, 1567, 11, 2737, 1080, 35535, 7411, 13, 362, 2478, 6498, 11, 46881, 323, 18088, 7411, 1253, 1524, 2477, 709, 389, 279, 1938, 4999, 791, 16520, 690, 387, 1825, 311, 279, 586, 449, 682, 22613, 2133, 311, 279, 11230, 2128, 596, 39048, 23693, 13, 16877, 279, 5690, 3749, 369, 279, 5652, 3754, 627, 37239, 7623, 1057, 4101, 315, 19905, 449, 27188, 9489, 3054, 388, 11, 584, 10791, 709, 449, 65594, 4409, 596, 4487, 474, 35, 23290, 9522, 4438, 1550, 499, 636, 3940, 38787, 369, 480, 9150, 38, 5380, 40, 1456, 323, 387, 439, 10235, 439, 3284, 13, 358, 4007, 279, 938, 12855, 439, 5246, 439, 358, 636, 1124, 11, 358, 3729, 279, 39459, 4737, 961, 304, 279, 25646, 323, 1518, 422, 1070, 374, 4205, 3230, 814, 1390, 757, 311, 3137, 922, 320, 28813, 14097, 11, 25438, 6743, 5099, 6266, 323, 358, 1304, 2771, 358, 617, 279, 1940, 11796, 6, 5144, 95246, 0, 4359, 1520, 757, 11, 1070, 374, 4400, 11201, 1109, 3794, 264, 1940, 11796, 6, 836, 5076, 0, 220, 22854, 374, 11, 220, 1954, 4, 315, 1148, 5466, 388, 656, 374, 389, 279, 11722, 439, 499, 527, 7556, 922, 279, 2489, 2133, 389, 304, 4156, 315, 499, 323, 14224, 499, 649, 1431, 3197, 904, 315, 430, 0, 18156, 11, 433, 753, 279, 1022, 279, 75523, 6392, 430, 5334, 279, 1888, 13010, 505, 279, 35851, 13, 43633, 1070, 374, 264, 15326, 1464, 304, 1514, 11, 358, 617, 1027, 3967, 311, 40320, 1139, 279, 13734, 323, 3820, 704, 1063, 315, 279, 1888, 12195, 323, 3137, 311, 1274, 922, 1124, 389, 279, 19748, 0, 1102, 753, 2294, 2523, 323, 433, 5334, 1274, 45830, 627, 2321, 49986, 1981, 15674, 315, 0, 358, 1541, 1431, 779, 1790, 4068, 349, 439, 358, 656, 42223, 323, 46789, 0, 358, 4344, 264, 38911, 369, 35101, 1054, 12840, 527, 499, 3815, 7801, 0, 1472, 12756, 13434, 1431, 617, 2884, 430, 0, 1472, 1288, 617, 2884, 1630, 30237, 11419, 18319, 358, 656, 617, 264, 2697, 2766, 315, 459, 9358, 1647, 77828, 3582, 13, 358, 3137, 311, 7182, 264, 2763, 6957, 279, 1938, 13, 358, 1505, 433, 8779, 757, 37455, 323, 6227, 1148, 358, 4344, 3815, 13, 358, 617, 311, 1304, 2771, 358, 1541, 1431, 656, 430, 994, 358, 4344, 38787, 91770, 96271, 1606, 358, 690, 4762, 5318, 466, 2555, 304, 1030, 38638, 323, 5255, 27873, 0, 1628, 10035, 11, 555, 9358, 1647, 77828, 11, 358, 656, 3152, 430, 16168, 55080, 3137, 704, 17813, 311, 7182, 627, 791, 1620, 315, 39118, 19687, 264, 2478, 4038, 4227, 304, 78903, 13, 1102, 753, 856, 19214, 369, 832, 2944, 1981, 38, 9150, 38, 2834, 279, 4459, 3245, 0, 10541, 439, 1664, 439, 1694, 856, 19214, 11, 433, 374, 1101, 856, 12047, 1606, 358, 574, 779, 12691, 315, 279, 7724, 3686, 358, 1047, 311, 7293, 6724, 68824, 279, 4459, 892, 13, 1102, 3604, 2751, 311, 279, 1486, 1405, 358, 1120, 4024, 11594, 1606, 422, 358, 3287, 1431, 11, 358, 574, 2133, 311, 16135, 0, 2468, 279, 842, 11, 358, 14760, 1523, 304, 24014, 1981, 3556, 7556, 389, 279, 19748, 0, 220, 358, 7070, 1101, 2019, 29433, 35, 6296, 13, 480, 9150, 38, 1606, 358, 2751, 311, 990, 449, 264, 12637, 36540, 8571, 11, 22022, 8560, 560, 0, 1226, 70904, 1022, 1855, 1023, 8755, 36419, 323, 1047, 459, 12738, 30903, 13, 1102, 574, 279, 1176, 892, 584, 2322, 11, 3686, 4395, 584, 1550, 1120, 35408, 779, 5933, 13, 85127, 433, 13, 3639, 656, 358, 1427, 4741, 311, 8260, 304, 279, 3938, 30, 8489, 11, 358, 9435, 311, 22203, 279, 11258, 753, 4435, 11098, 1828, 1060, 719, 311, 387, 6762, 11, 358, 4344, 4762, 539, 10534, 3403, 369, 430, 3686, 13, 358, 1053, 3021, 311, 656, 433, 323, 617, 2860, 10082, 304, 856, 1866, 5845, 11, 719, 1070, 527, 21577, 315, 1023, 12738, 1274, 889, 617, 9435, 779, 358, 1541, 1431, 66533, 1884, 889, 617, 311, 1304, 279, 1620, 5597, 4999, 6153, 65504, 2653, 304, 350, 804, 1643, 304, 6250, 11, 65594, 4409, 45642, 20666, 527, 1203, 449, 264, 25646, 304, 6664, 11, 20256, 311, 6621, 339, 1122, 46873, 39857, 82, 304, 264, 27711, 9178, 25646, 627, 2028, 690, 387, 6621, 339, 1122, 753, 4948, 25646, 311, 2457, 11, 323, 65594, 4409, 753, 4948, 2162, 25646, 315, 279, 1060, 1306, 41577, 264, 22150, 520, 279, 13011, 91499, 14821, 13, 1115, 690, 387, 264, 502, 3217, 369, 2225, 7411, 11, 439, 814, 617, 2646, 6476, 1855, 1023, 1603, 627, 791, 25646, 5097, 2035, 389, 7884, 11, 220, 1627, 339, 315, 6664, 13, 29318, 287, 709, 555, 70402, 374, 539, 2631, 719, 49737, 21190, 13, 2684, 690, 387, 264, 19692, 43793, 449, 49644, 43402, 320, 2201, 29862, 477, 32839, 4460, 11, 719, 1578, 11, 7701, 21190, 8, 439, 1664, 264, 436, 45190, 449, 682, 34555, 2133, 311, 2254, 51371, 13, 66125, 31770, 74673, 690, 387, 304, 279, 14321, 439, 1664, 439, 264, 25968, 15994, 11, 449, 904, 3300, 9408, 2133, 1203, 1139, 279, 2128, 311, 1304, 3938, 96271, 264, 8903, 627, 16298, 315, 682, 17051, 527, 18719, 311, 279, 25646, 11, 902, 374, 1949, 315, 6900, 320, 456, 1070, 4216, 311, 5766, 41698, 1389, 14365, 1825, 520, 220, 17, 5298, 449, 279, 25646, 6041, 520, 220, 18, 5298, 570, 2052, 584, 2610, 374, 5606, 1234, 220, 972, 23874, 3201, 505, 279, 18639, 1584, 311, 5766, 11134, 627, 8142, 14614, 499, 5895, 889, 690, 3243, 279, 1306, 4717, 11, 264, 810, 8475, 3488, 369, 420, 25646, 1253, 387, 889, 690, 617, 279, 1888, 32519, 30, 15936, 3235, 323, 1505, 704, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506 ]
1,507
[ 128000, 31140, 358, 1541, 956, 617, 11758, 315, 9364, 311, 1772, 709, 369, 499, 311, 781, 1982, 1555, 11, 1093, 1063, 430, 617, 2736, 8621, 1603, 757, 11, 323, 10705, 1541, 956, 2586, 3345, 439, 3117, 439, 4367, 374, 11920, 3060, 11, 719, 358, 3463, 358, 4265, 2231, 7182, 704, 1070, 13971, 323, 1501, 499, 856, 7347, 3477, 315, 220, 679, 17, 304, 9364, 13, 2468, 3325, 420, 1648, 994, 358, 656, 279, 1890, 389, 220, 16, 267, 6186, 220, 679, 19, 23127, 358, 1288, 617, 3117, 810, 9364, 311, 1772, 323, 279, 4367, 1288, 387, 19407, 13241, 2288, 627, 40, 3987, 499, 4774, 323, 14931, 358, 1541, 956, 617, 810, 311, 4430, 78928, 679, 18, 12, 1721, 12, 1721, 62, 4119, 16, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 17, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 18, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 19, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 15, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 20, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 21, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 22, 555, 20864, 22716, 17, 11, 389, 55458, 198, 12947, 369, 3411, 627, 32978, 198, 52938, 11, 1633, 11, 1633, 6555, 13, 3297, 358, 2610, 1148, 18848, 499, 1005, 369, 279, 3345, 709, 59234, 5380, 451, 258, 7760, 6267, 512, 52938, 11, 1633, 11, 1633, 6555, 13, 3297, 358, 2610, 1148, 18848, 499, 1005, 369, 279, 3345, 709, 59234, 5380, 13359, 499, 13, 358, 14918, 1005, 279, 220, 5313, 3906, 282, 16, 13, 19, 323, 220, 2031, 12, 1049, 282, 17, 13, 23, 37200, 17, 369, 279, 3345, 33834, 13, 358, 2011, 17113, 3582, 358, 2846, 2103, 4560, 311, 82923, 279, 220, 5313, 323, 1440, 430, 358, 2846, 2216, 539, 3794, 279, 1888, 704, 315, 433, 1120, 3686, 4999, 34174, 990, 13, 15668, 16358, 627, 5159, 1888, 369, 220, 679, 18, 627, 32978, 11, 6366, 6392, 1618, 0, 4702, 264, 1396, 315, 29722, 15300, 13, 358, 2846, 3411, 4741, 311, 1148, 499, 2351, 2133, 311, 656, 304, 220, 679, 18, 4999, 12947, 11641, 323, 9523, 14662, 627, 33562, 264, 1317, 1648, 311, 733, 1603, 358, 3358, 1212, 311, 2733, 9615, 6380, 449, 856, 24685, 11, 719, 1202, 682, 961, 315, 279, 6975, 1920, 358, 23289, 13, 15832, 2011, 636, 16643, 323, 810, 16913, 304, 279, 53004, 9476, 13, 3011, 596, 3979, 78, 832, 315, 856, 9021, 420, 1060, 627, 9673, 1427, 2294, 13, 3053, 956, 3868, 311, 1518, 1148, 499, 617, 311, 3085, 369, 220, 679, 18, 627, 4438, 10470, 345, 26840, 1695, 4526, 315, 7397, 627, 40, 14333, 9298, 3892, 11, 323, 832, 304, 4040, 14980, 704, 369, 757, 25, 330, 31728, 389, 264, 53186, 10246, 15571, 2683, 627, 626, 3228, 88, 8704, 6267, 512, 4438, 10470, 345, 26840, 1695, 4526, 315, 7397, 627, 40, 14333, 9298, 3892, 11, 323, 832, 304, 4040, 14980, 704, 369, 757, 25, 330, 31728, 389, 264, 53186, 10246, 15571, 2683, 627, 12947, 3441, 7759, 13, 358, 2846, 2216, 42200, 430, 832, 2288, 11, 323, 279, 6689, 315, 1077, 389, 279, 13731, 13, 15668, 43766, 2697, 17240, 4999, 32978, 198, 36981, 0, 69616, 28146, 627, 40, 2216, 1093, 279, 330, 29652, 389, 264, 19336, 1, 323, 330, 74996, 389, 264, 18618, 1, 15300, 264, 2763, 13, 11361, 369, 11821, 4999, 9514, 2751, 1063, 2216, 2294, 6392, 1314, 1070, 11, 893, 13, 7252, 315, 15369, 315, 15369, 369, 220, 679, 18, 323, 2567, 389, 11821, 449, 603, 13, 11361, 4999, 12947, 20331, 68, 13, 578, 6980, 389, 279, 18618, 574, 279, 8403, 19214, 6689, 902, 9670, 709, 389, 872, 7147, 627, 26840, 6555, 4526, 315, 7397, 627, 13379, 9469, 337, 306, 3394, 6267, 512, 9514, 2751, 1063, 2216, 2294, 6392, 1314, 1070, 11, 893, 13, 7252, 315, 15369, 315, 15369, 369, 220, 679, 18, 323, 2567, 389, 11821, 449, 603, 13, 11361, 4999, 12947, 264, 2763, 3842, 13, 358, 7373, 30730, 311, 2567, 11821, 22067, 11, 1202, 279, 1888, 1648, 358, 4048, 13, 38994, 814, 3358, 387, 2731, 323, 2731, 439, 279, 1060, 5900, 389, 627, 26840, 6555, 11, 11517, 627, 313, 23083, 198, 12947, 369, 11821, 0, 358, 1093, 279, 98002, 627, 13347, 11517, 345, 46078, 6392, 4999, 84281, 198, 12947, 264, 2763, 6941, 11, 26099, 323, 27525, 13, 74658, 2307, 27762, 369, 220, 679, 18, 779, 23127, 358, 3358, 617, 1790, 810, 311, 4430, 6957, 279, 1060, 627, 40, 14333, 3411, 520, 1521, 25232, 13, 18122, 1104, 990, 13, 2100, 1690, 6366, 9364, 13, 14727, 49053, 505, 1948, 311, 5740, 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 ]
[ 128000, 31140, 358, 1541, 956, 617, 11758, 315, 9364, 311, 1772, 709, 369, 499, 311, 781, 1982, 1555, 11, 1093, 1063, 430, 617, 2736, 8621, 1603, 757, 11, 323, 10705, 1541, 956, 2586, 3345, 439, 3117, 439, 4367, 374, 11920, 3060, 11, 719, 358, 3463, 358, 4265, 2231, 7182, 704, 1070, 13971, 323, 1501, 499, 856, 7347, 3477, 315, 220, 679, 17, 304, 9364, 13, 2468, 3325, 420, 1648, 994, 358, 656, 279, 1890, 389, 220, 16, 267, 6186, 220, 679, 19, 23127, 358, 1288, 617, 3117, 810, 9364, 311, 1772, 323, 279, 4367, 1288, 387, 19407, 13241, 2288, 627, 40, 3987, 499, 4774, 323, 14931, 358, 1541, 956, 617, 810, 311, 4430, 78928, 679, 18, 12, 1721, 12, 1721, 62, 4119, 16, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 17, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 18, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 19, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 15, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 20, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 21, 555, 20864, 22716, 17, 11, 389, 55458, 198, 679, 18, 12, 1721, 12, 1721, 62, 4119, 22, 555, 20864, 22716, 17, 11, 389, 55458, 198, 12947, 369, 3411, 627, 32978, 198, 52938, 11, 1633, 11, 1633, 6555, 13, 3297, 358, 2610, 1148, 18848, 499, 1005, 369, 279, 3345, 709, 59234, 5380, 451, 258, 7760, 6267, 512, 52938, 11, 1633, 11, 1633, 6555, 13, 3297, 358, 2610, 1148, 18848, 499, 1005, 369, 279, 3345, 709, 59234, 5380, 13359, 499, 13, 358, 14918, 1005, 279, 220, 5313, 3906, 282, 16, 13, 19, 323, 220, 2031, 12, 1049, 282, 17, 13, 23, 37200, 17, 369, 279, 3345, 33834, 13, 358, 2011, 17113, 3582, 358, 2846, 2103, 4560, 311, 82923, 279, 220, 5313, 323, 1440, 430, 358, 2846, 2216, 539, 3794, 279, 1888, 704, 315, 433, 1120, 3686, 4999, 34174, 990, 13, 15668, 16358, 627, 5159, 1888, 369, 220, 679, 18, 627, 32978, 11, 6366, 6392, 1618, 0, 4702, 264, 1396, 315, 29722, 15300, 13, 358, 2846, 3411, 4741, 311, 1148, 499, 2351, 2133, 311, 656, 304, 220, 679, 18, 4999, 12947, 11641, 323, 9523, 14662, 627, 33562, 264, 1317, 1648, 311, 733, 1603, 358, 3358, 1212, 311, 2733, 9615, 6380, 449, 856, 24685, 11, 719, 1202, 682, 961, 315, 279, 6975, 1920, 358, 23289, 13, 15832, 2011, 636, 16643, 323, 810, 16913, 304, 279, 53004, 9476, 13, 3011, 596, 3979, 78, 832, 315, 856, 9021, 420, 1060, 627, 9673, 1427, 2294, 13, 3053, 956, 3868, 311, 1518, 1148, 499, 617, 311, 3085, 369, 220, 679, 18, 627, 4438, 10470, 345, 26840, 1695, 4526, 315, 7397, 627, 40, 14333, 9298, 3892, 11, 323, 832, 304, 4040, 14980, 704, 369, 757, 25, 330, 31728, 389, 264, 53186, 10246, 15571, 2683, 627, 626, 3228, 88, 8704, 6267, 512, 4438, 10470, 345, 26840, 1695, 4526, 315, 7397, 627, 40, 14333, 9298, 3892, 11, 323, 832, 304, 4040, 14980, 704, 369, 757, 25, 330, 31728, 389, 264, 53186, 10246, 15571, 2683, 627, 12947, 3441, 7759, 13, 358, 2846, 2216, 42200, 430, 832, 2288, 11, 323, 279, 6689, 315, 1077, 389, 279, 13731, 13, 15668, 43766, 2697, 17240, 4999, 32978, 198, 36981, 0, 69616, 28146, 627, 40, 2216, 1093, 279, 330, 29652, 389, 264, 19336, 1, 323, 330, 74996, 389, 264, 18618, 1, 15300, 264, 2763, 13, 11361, 369, 11821, 4999, 9514, 2751, 1063, 2216, 2294, 6392, 1314, 1070, 11, 893, 13, 7252, 315, 15369, 315, 15369, 369, 220, 679, 18, 323, 2567, 389, 11821, 449, 603, 13, 11361, 4999, 12947, 20331, 68, 13, 578, 6980, 389, 279, 18618, 574, 279, 8403, 19214, 6689, 902, 9670, 709, 389, 872, 7147, 627, 26840, 6555, 4526, 315, 7397, 627, 13379, 9469, 337, 306, 3394, 6267, 512, 9514, 2751, 1063, 2216, 2294, 6392, 1314, 1070, 11, 893, 13, 7252, 315, 15369, 315, 15369, 369, 220, 679, 18, 323, 2567, 389, 11821, 449, 603, 13, 11361, 4999, 12947, 264, 2763, 3842, 13, 358, 7373, 30730, 311, 2567, 11821, 22067, 11, 1202, 279, 1888, 1648, 358, 4048, 13, 38994, 814, 3358, 387, 2731, 323, 2731, 439, 279, 1060, 5900, 389, 627, 26840, 6555, 11, 11517, 627, 313, 23083, 198, 12947, 369, 11821, 0, 358, 1093, 279, 98002, 627, 13347, 11517, 345, 46078, 6392, 4999, 84281, 198, 12947, 264, 2763, 6941, 11, 26099, 323, 27525, 13, 74658, 2307, 27762, 369, 220, 679, 18, 779, 23127, 358, 3358, 617, 1790, 810, 311, 4430, 6957, 279, 1060, 627, 40, 14333, 3411, 520, 1521, 25232, 13, 18122, 1104, 990, 13, 2100, 1690, 6366, 9364, 13, 14727, 49053, 505, 1948, 311, 5740, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809 ]
810
[ 128000, 10445, 1274, 5766, 42111, 700, 391, 1705, 5380, 3947, 374, 264, 60381, 12673, 311, 42111, 46755, 323, 42111, 700, 391, 1705, 13, 9029, 1781, 1193, 994, 814, 617, 6129, 5435, 477, 6129, 4819, 814, 1288, 5603, 872, 68616, 13, 1115, 374, 539, 5995, 323, 499, 656, 539, 1390, 311, 3868, 369, 2574, 311, 636, 6129, 13, 3277, 499, 3663, 904, 4819, 499, 1288, 1456, 311, 2686, 279, 4360, 1314, 520, 279, 1212, 4619, 315, 8748, 369, 433, 311, 387, 63368, 13, 9176, 1579, 5643, 1274, 3619, 279, 12939, 315, 19994, 34325, 9498, 323, 814, 2793, 3403, 892, 323, 3300, 3318, 449, 872, 68616, 13, 8442, 555, 10494, 5694, 34325, 9498, 814, 1051, 3025, 311, 5662, 1778, 2294, 36394, 13, 2100, 499, 2288, 1288, 1833, 872, 3187, 323, 656, 539, 39666, 311, 5603, 701, 68616, 439, 323, 994, 2631, 627, 644, 1162, 315, 5133, 4819, 1274, 1456, 311, 9006, 279, 4819, 5694, 4619, 315, 31047, 264, 21961, 1370, 466, 27596, 13, 1115, 374, 539, 264, 9498, 5603, 13, 1442, 499, 656, 539, 636, 6721, 1520, 304, 53583, 6129, 11103, 4819, 499, 690, 1193, 46041, 349, 279, 6671, 13, 3234, 539, 7781, 9455, 701, 42863, 627, 644, 1162, 315, 5133, 4819, 433, 374, 3062, 430, 2225, 1274, 4034, 279, 42863, 3871, 13, 1442, 499, 1505, 279, 1888, 21961, 1370, 466, 27596, 362, 92189, 706, 311, 3085, 814, 690, 32262, 430, 499, 5603, 1124, 439, 5743, 1606, 430, 374, 994, 433, 374, 3284, 311, 9006, 279, 5133, 4819, 13, 1115, 374, 832, 315, 279, 8125, 3249, 1690, 1274, 1505, 433, 17436, 311, 4034, 872, 68616, 13, 763, 264, 5133, 422, 2225, 9875, 527, 8173, 304, 296, 2518, 279, 4819, 304, 279, 5133, 433, 374, 4228, 311, 2686, 279, 4819, 13, 1442, 832, 1732, 374, 8173, 323, 279, 1023, 1732, 14865, 311, 1501, 904, 2802, 1243, 433, 1253, 539, 387, 4228, 369, 279, 42863, 311, 4546, 904, 16337, 627, 25729, 433, 374, 15419, 369, 279, 7931, 477, 433, 374, 279, 15419, 369, 21961, 11, 1193, 994, 279, 1274, 6532, 1501, 2802, 433, 374, 3284, 369, 904, 42863, 311, 11471, 3135, 13, 763, 1690, 5157, 1274, 889, 5603, 279, 68616, 3775, 311, 1304, 13263, 9045, 439, 264, 1121, 814, 656, 539, 636, 2731, 13, 1115, 7224, 264, 1633, 3958, 2217, 922, 42111, 46755, 323, 922, 83781, 1606, 539, 5127, 889, 20414, 279, 42863, 477, 279, 2346, 35935, 269, 5334, 279, 3685, 3135, 13, 7570, 422, 279, 4360, 477, 279, 16930, 374, 449, 279, 8403, 11, 3885, 5766, 68616, 7422, 430, 433, 374, 539, 7524, 311, 1304, 1005, 315, 15419, 13, 2100, 422, 499, 2288, 527, 1101, 3515, 1778, 6325, 499, 1205, 311, 6227, 1618, 430, 422, 499, 1390, 311, 3217, 904, 2349, 1243, 499, 1288, 1304, 6928, 9045, 323, 2574, 690, 539, 2349, 389, 872, 1866, 13, 2100, 636, 3940, 449, 701, 2778, 369, 701, 362, 92189, 42863, 889, 649, 1520, 499, 9006, 682, 701, 4819, 13, 1556, 10534, 42863, 690, 387, 3025, 311, 1520, 499, 23075, 701, 14604, 11774, 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 ]
[ 128000, 10445, 1274, 5766, 42111, 700, 391, 1705, 5380, 3947, 374, 264, 60381, 12673, 311, 42111, 46755, 323, 42111, 700, 391, 1705, 13, 9029, 1781, 1193, 994, 814, 617, 6129, 5435, 477, 6129, 4819, 814, 1288, 5603, 872, 68616, 13, 1115, 374, 539, 5995, 323, 499, 656, 539, 1390, 311, 3868, 369, 2574, 311, 636, 6129, 13, 3277, 499, 3663, 904, 4819, 499, 1288, 1456, 311, 2686, 279, 4360, 1314, 520, 279, 1212, 4619, 315, 8748, 369, 433, 311, 387, 63368, 13, 9176, 1579, 5643, 1274, 3619, 279, 12939, 315, 19994, 34325, 9498, 323, 814, 2793, 3403, 892, 323, 3300, 3318, 449, 872, 68616, 13, 8442, 555, 10494, 5694, 34325, 9498, 814, 1051, 3025, 311, 5662, 1778, 2294, 36394, 13, 2100, 499, 2288, 1288, 1833, 872, 3187, 323, 656, 539, 39666, 311, 5603, 701, 68616, 439, 323, 994, 2631, 627, 644, 1162, 315, 5133, 4819, 1274, 1456, 311, 9006, 279, 4819, 5694, 4619, 315, 31047, 264, 21961, 1370, 466, 27596, 13, 1115, 374, 539, 264, 9498, 5603, 13, 1442, 499, 656, 539, 636, 6721, 1520, 304, 53583, 6129, 11103, 4819, 499, 690, 1193, 46041, 349, 279, 6671, 13, 3234, 539, 7781, 9455, 701, 42863, 627, 644, 1162, 315, 5133, 4819, 433, 374, 3062, 430, 2225, 1274, 4034, 279, 42863, 3871, 13, 1442, 499, 1505, 279, 1888, 21961, 1370, 466, 27596, 362, 92189, 706, 311, 3085, 814, 690, 32262, 430, 499, 5603, 1124, 439, 5743, 1606, 430, 374, 994, 433, 374, 3284, 311, 9006, 279, 5133, 4819, 13, 1115, 374, 832, 315, 279, 8125, 3249, 1690, 1274, 1505, 433, 17436, 311, 4034, 872, 68616, 13, 763, 264, 5133, 422, 2225, 9875, 527, 8173, 304, 296, 2518, 279, 4819, 304, 279, 5133, 433, 374, 4228, 311, 2686, 279, 4819, 13, 1442, 832, 1732, 374, 8173, 323, 279, 1023, 1732, 14865, 311, 1501, 904, 2802, 1243, 433, 1253, 539, 387, 4228, 369, 279, 42863, 311, 4546, 904, 16337, 627, 25729, 433, 374, 15419, 369, 279, 7931, 477, 433, 374, 279, 15419, 369, 21961, 11, 1193, 994, 279, 1274, 6532, 1501, 2802, 433, 374, 3284, 369, 904, 42863, 311, 11471, 3135, 13, 763, 1690, 5157, 1274, 889, 5603, 279, 68616, 3775, 311, 1304, 13263, 9045, 439, 264, 1121, 814, 656, 539, 636, 2731, 13, 1115, 7224, 264, 1633, 3958, 2217, 922, 42111, 46755, 323, 922, 83781, 1606, 539, 5127, 889, 20414, 279, 42863, 477, 279, 2346, 35935, 269, 5334, 279, 3685, 3135, 13, 7570, 422, 279, 4360, 477, 279, 16930, 374, 449, 279, 8403, 11, 3885, 5766, 68616, 7422, 430, 433, 374, 539, 7524, 311, 1304, 1005, 315, 15419, 13, 2100, 422, 499, 2288, 527, 1101, 3515, 1778, 6325, 499, 1205, 311, 6227, 1618, 430, 422, 499, 1390, 311, 3217, 904, 2349, 1243, 499, 1288, 1304, 6928, 9045, 323, 2574, 690, 539, 2349, 389, 872, 1866, 13, 2100, 636, 3940, 449, 701, 2778, 369, 701, 362, 92189, 42863, 889, 649, 1520, 499, 9006, 682, 701, 4819, 13, 1556, 10534, 42863, 690, 387, 3025, 311, 1520, 499, 23075, 701, 14604, 11774, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497 ]
498
[ 128000, 7570, 422, 499, 2512, 922, 1461, 323, 2733, 14931, 369, 1461, 304, 11501, 11, 499, 1288, 2103, 387, 19021, 1606, 315, 1148, 568, 1550, 11, 323, 279, 81909, 369, 701, 4885, 323, 6261, 13, 1283, 13194, 813, 23601, 11, 323, 2231, 499, 304, 264, 2361, 1405, 499, 2351, 2133, 311, 387, 3685, 311, 330, 30345, 264, 3185, 3343, 358, 1781, 499, 649, 11, 389, 279, 832, 1450, 11, 3820, 701, 4885, 3185, 555, 1694, 19021, 922, 1148, 701, 10868, 1550, 323, 69772, 872, 21859, 13, 1628, 389, 279, 1023, 1450, 499, 649, 2103, 387, 1070, 369, 701, 10868, 11, 439, 1317, 439, 499, 1541, 956, 8945, 1461, 477, 6062, 1095, 1461, 5766, 279, 16296, 315, 813, 6299, 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 ]
[ 128000, 7570, 422, 499, 2512, 922, 1461, 323, 2733, 14931, 369, 1461, 304, 11501, 11, 499, 1288, 2103, 387, 19021, 1606, 315, 1148, 568, 1550, 11, 323, 279, 81909, 369, 701, 4885, 323, 6261, 13, 1283, 13194, 813, 23601, 11, 323, 2231, 499, 304, 264, 2361, 1405, 499, 2351, 2133, 311, 387, 3685, 311, 330, 30345, 264, 3185, 3343, 358, 1781, 499, 649, 11, 389, 279, 832, 1450, 11, 3820, 701, 4885, 3185, 555, 1694, 19021, 922, 1148, 701, 10868, 1550, 323, 69772, 872, 21859, 13, 1628, 389, 279, 1023, 1450, 499, 649, 2103, 387, 1070, 369, 701, 10868, 11, 439, 1317, 439, 499, 1541, 956, 8945, 1461, 477, 6062, 1095, 1461, 5766, 279, 16296, 315, 813, 6299, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ]
120
[ 128000, 3923, 374, 420, 2217, 5380, 69009, 574, 9405, 304, 11246, 7984, 35573, 11, 13286, 11, 719, 555, 279, 892, 1364, 3940, 2978, 11, 1077, 3070, 1047, 7882, 311, 29890, 13, 3005, 18677, 459, 682, 63970, 82, 2978, 1070, 11, 323, 433, 574, 1077, 220, 23, 339, 12239, 7106, 8198, 11326, 889, 1176, 281, 5118, 291, 1077, 2802, 304, 22027, 13, 4800, 420, 574, 539, 701, 5578, 22027, 538, 13, 2435, 15243, 922, 2574, 1093, 1268, 1690, 13116, 264, 4848, 33520, 6573, 2643, 617, 11, 323, 814, 68683, 50843, 369, 8146, 1093, 3177, 6437, 11, 323, 814, 6476, 449, 1118, 18200, 13, 20263, 10456, 433, 627, 4516, 1306, 1579, 2978, 11, 1364, 743, 1022, 369, 25996, 311, 990, 389, 459, 41534, 8547, 304, 22027, 13, 2030, 20263, 38674, 433, 13, 34969, 1051, 2288, 5107, 323, 1364, 1047, 4529, 2288, 1690, 13, 3277, 1364, 33109, 11, 1364, 92307, 1364, 1053, 2646, 733, 1203, 311, 22027, 13, 2100, 20263, 9435, 311, 4007, 19675, 304, 19560, 2978, 1198, 97725, 627, 21119, 426, 25, 20263, 1047, 311, 3094, 1203, 323, 7652, 1077, 7076, 8446, 13, 3005, 7020, 1364, 10456, 12917, 11, 779, 1364, 6137, 449, 1148, 1364, 7020, 1888, 25, 22027, 323, 7033, 13, 2030, 304, 264, 15206, 2543, 11, 1306, 264, 5743, 315, 1667, 315, 12917, 20263, 15393, 430, 2133, 1203, 311, 2978, 311, 4007, 22027, 1053, 1520, 1077, 3719, 279, 1888, 11326, 1364, 1436, 387, 13, 19326, 3907, 32069, 1077, 13, 1102, 574, 2653, 990, 11, 719, 3131, 1578, 22027, 574, 27387, 323, 2523, 627, 644, 264, 2875, 892, 11, 1077, 2802, 304, 12917, 22027, 3940, 311, 1935, 264, 1203, 10954, 311, 22027, 3495, 13, 1789, 1077, 19560, 990, 11, 20263, 14896, 311, 4007, 12025, 22761, 17688, 482, 330, 64, 11364, 2115, 449, 7029, 1825, 18841, 3634, 1210, 1628, 1606, 433, 58943, 10278, 990, 323, 10334, 11, 1364, 14896, 22772, 12025, 22761, 17688, 11, 1405, 330, 9514, 636, 311, 1977, 2574, 323, 4321, 2212, 449, 264, 60588, 304, 701, 1203, 18301, 13, 1472, 3881, 22027, 1475, 1938, 11, 4560, 311, 1304, 24198, 323, 3619, 1268, 814, 990, 13, 5112, 499, 636, 311, 24564, 279, 828, 505, 1884, 24198, 10246, 791, 1630, 8195, 12, 77477, 58974, 596, 1579, 64036, 43976, 2895, 1113, 27726, 88371, 320, 49, 16929, 8, 320, 263, 1314, 8, 574, 279, 1888, 2447, 369, 1077, 1606, 315, 1202, 4500, 25845, 25, 1364, 1436, 387, 6532, 304, 4857, 279, 14473, 323, 2103, 387, 1070, 994, 279, 828, 11721, 505, 3634, 13, 578, 432, 16929, 374, 264, 7665, 11746, 16784, 2447, 449, 1063, 19564, 505, 2326, 14673, 627, 69009, 574, 3025, 311, 1520, 1977, 323, 1296, 433, 520, 19326, 1603, 433, 574, 18751, 1139, 279, 42640, 13, 3005, 15662, 1077, 30661, 3318, 389, 279, 4500, 323, 60993, 315, 279, 432, 16929, 323, 279, 1005, 315, 433, 323, 1023, 9618, 442, 2481, 311, 4007, 3428, 3148, 865, 30630, 70837, 13, 320, 12686, 2065, 374, 279, 11944, 4096, 315, 279, 1648, 459, 14473, 4375, 13, 1102, 596, 9193, 3062, 1606, 14248, 2011, 3619, 279, 14473, 596, 19035, 311, 279, 7257, 828, 814, 1518, 323, 387, 3025, 311, 8821, 1202, 6372, 505, 279, 3177, 315, 1972, 12025, 22761, 19506, 6302, 6266, 578, 1630, 8195, 12, 77477, 58974, 11887, 304, 220, 2550, 24, 11, 323, 1243, 20263, 1047, 279, 6776, 311, 70755, 433, 1418, 304, 27605, 13, 3005, 8308, 279, 3217, 555, 21630, 12025, 22761, 19506, 6302, 1701, 432, 16929, 828, 627, 82430, 98417, 527, 3629, 18255, 1139, 42045, 1705, 323, 828, 31499, 13, 578, 42045, 1705, 1977, 279, 47710, 323, 279, 828, 31499, 1005, 279, 828, 505, 1124, 13, 20263, 374, 8173, 304, 2225, 323, 15849, 430, 1884, 889, 617, 3217, 304, 2225, 1977, 279, 1888, 24198, 13, 3161, 15098, 2731, 5557, 11, 24198, 649, 387, 1511, 311, 4007, 6302, 304, 7191, 8149, 323, 7872, 11, 323, 2731, 8830, 315, 279, 14473, 596, 36486, 323, 44667, 6276, 14248, 311, 4585, 279, 13693, 13, 1952, 279, 1023, 3185, 11, 994, 14248, 1440, 1148, 814, 1390, 311, 4007, 323, 1101, 1440, 279, 27129, 430, 649, 387, 23926, 304, 42118, 828, 11, 279, 24198, 649, 387, 32971, 304, 264, 810, 5505, 1648, 627, 6153, 39554, 11, 20263, 596, 12624, 12034, 24465, 1077, 311, 990, 389, 279, 4500, 315, 279, 35487, 24468, 1630, 79504, 27726, 88371, 320, 55, 11706, 8, 320, 263, 2163, 11, 1694, 22306, 1139, 279, 50400, 277, 705, 459, 14473, 430, 5829, 502, 5557, 430, 1946, 1392, 279, 921, 24155, 323, 1630, 8195, 12, 77477, 9618, 442, 2481, 13, 20263, 3782, 311, 4359, 67, 569, 389, 459, 452, 7532, 63349, 304, 220, 1049, 16, 11, 1120, 439, 279, 1630, 11706, 574, 1694, 5918, 13, 1666, 449, 279, 432, 16929, 14473, 11, 1364, 706, 1027, 3025, 311, 16136, 304, 3752, 4954, 279, 9618, 88371, 627, 6153, 1403, 1667, 389, 459, 452, 7532, 63349, 20263, 574, 22163, 439, 264, 8431, 41564, 12025, 22761, 1065, 292, 380, 520, 4359, 67, 569, 13, 3005, 9731, 42118, 432, 16929, 828, 323, 1457, 706, 3892, 3610, 828, 3585, 311, 3460, 1555, 4999, 69009, 574, 1101, 3025, 311, 3136, 1077, 990, 389, 279, 1630, 11706, 323, 17210, 311, 1202, 38711, 389, 279, 5015, 304, 6457, 304, 279, 7474, 315, 220, 1049, 19, 13, 578, 9618, 88371, 574, 18751, 1139, 279, 42640, 323, 690, 387, 11887, 505, 6457, 304, 220, 1049, 20, 627, 3923, 374, 1364, 3411, 369, 304, 279, 828, 30, 20263, 374, 8173, 304, 66425, 51856, 323, 1268, 433, 649, 387, 1511, 311, 8417, 279, 7106, 4787, 304, 87283, 6302, 13, 20263, 574, 279, 3063, 369, 264, 2128, 315, 14248, 430, 463, 2788, 264, 77850, 73404, 6917, 596, 15135, 555, 30090, 369, 279, 1176, 892, 1268, 279, 20326, 315, 1202, 4376, 25224, 16975, 374, 62236, 555, 14560, 71019, 8603, 520, 279, 7479, 13, 12362, 66425, 51856, 814, 527, 4560, 311, 8417, 1148, 1376, 5030, 5097, 520, 279, 24674, 90816, 304, 279, 6332, 315, 264, 29368, 73404, 6917, 13, 3277, 279, 35487, 24468, 34079, 11706, 9618, 88371, 8638, 311, 3493, 828, 11, 1364, 690, 923, 279, 502, 828, 311, 1077, 7978, 627, 7816, 922, 420, 990, 512, 13246, 1455, 1023, 12025, 22761, 1065, 292, 1705, 11, 20263, 3250, 956, 617, 264, 14595, 990, 1316, 13, 3005, 27772, 264, 7029, 8205, 315, 9256, 11, 2533, 1364, 4375, 389, 2225, 14473, 38711, 323, 828, 6492, 505, 27605, 287, 47710, 13, 4427, 2919, 1364, 596, 304, 279, 10278, 6376, 709, 24198, 323, 20646, 369, 38711, 13, 7089, 2919, 1364, 374, 4737, 38711, 828, 477, 42118, 6484, 828, 1198, 10213, 520, 1077, 18496, 449, 264, 6500, 323, 38266, 13, 20263, 38202, 264, 2763, 315, 892, 4477, 11, 323, 1070, 527, 264, 2763, 315, 16659, 323, 23541, 4819, 6532, 449, 11213, 7224, 627, 13622, 1274, 304, 279, 1917, 617, 311, 656, 2653, 9511, 477, 990, 520, 7032, 430, 814, 1541, 956, 2512, 922, 1120, 311, 636, 264, 78079, 13, 20263, 374, 38564, 311, 387, 3025, 311, 990, 389, 47710, 430, 690, 387, 11887, 1139, 3634, 323, 1243, 1005, 828, 505, 1124, 311, 4007, 6302, 1093, 73404, 9958, 323, 3776, 20349, 13, 3005, 38202, 1077, 2919, 7422, 922, 8278, 19476, 323, 279, 40164, 304, 279, 15861, 13, 2057, 20263, 11, 3318, 304, 12025, 22761, 17688, 374, 264, 11364, 19913, 627, 25729, 433, 596, 389, 3363, 82835, 477, 24521, 33965, 11, 20263, 16180, 1694, 34632, 323, 11689, 2212, 13, 3005, 1101, 16180, 1317, 5754, 23277, 323, 21646, 304, 4689, 13, 1666, 264, 10585, 11, 20263, 323, 1077, 3070, 1511, 311, 27402, 1139, 279, 1841, 323, 6678, 505, 1561, 4356, 311, 23195, 304, 279, 7474, 311, 4034, 1077, 56435, 11, 264, 38040, 11, 653, 19153, 11, 323, 61007, 13, 3005, 35292, 3629, 311, 1518, 1077, 1510, 11838, 3070, 11, 1455, 315, 8884, 527, 389, 279, 6460, 13962, 13, 1628, 369, 279, 1176, 2478, 1667, 430, 1364, 6575, 520, 4359, 67, 569, 11, 1077, 10177, 12439, 304, 1561, 4356, 311, 3136, 813, 7076, 449, 19225, 1989, 11, 779, 1364, 1053, 4034, 1461, 1070, 1455, 38102, 627, 4897, 574, 330, 15145, 3343, 4800, 1455, 315, 20263, 596, 892, 4994, 315, 990, 374, 7543, 449, 1077, 502, 8945, 323, 1077, 10177, 13, 8876, 279, 8945, 11721, 814, 8493, 810, 892, 304, 279, 6652, 11, 423, 732, 13, 3158, 323, 733, 311, 1561, 4356, 1193, 922, 3131, 264, 2305, 13, 2030, 814, 2103, 8493, 264, 2763, 315, 892, 520, 51677, 323, 1989, 43654, 304, 2225, 9919, 627, 2746, 892, 5944, 1051, 3284, 11, 994, 323, 1405, 1053, 499, 4034, 11, 323, 3249, 5380, 40, 4265, 733, 311, 220, 5162, 17, 11, 719, 1193, 422, 358, 1436, 387, 3842, 40208, 320, 263, 2163, 8, 369, 279, 220, 20, 4207, 304, 902, 568, 1176, 37466, 1639, 279, 9578, 13, 3639, 459, 24674, 1684, 430, 1053, 617, 1027, 4999, 2746, 499, 15058, 956, 264, 28568, 11, 1148, 1053, 499, 387, 5380, 32, 11326, 320, 2201, 13051, 1070, 43492, 358, 3021, 9455, 5627, 311, 10552, 264, 12624, 7434, 311, 4423, 323, 9298, 872, 12580, 279, 4545, 994, 814, 364, 456, 433, 24482, 2746, 499, 1436, 22114, 2380, 1274, 505, 6957, 3925, 311, 701, 3838, 369, 14177, 11, 889, 1053, 499, 22114, 323, 3249, 5380, 2170, 1317, 439, 584, 733, 704, 311, 8343, 2533, 358, 1541, 956, 2216, 4394, 9522, 53692, 11, 358, 4265, 4762, 539, 22114, 3967, 13970, 5885, 13, 358, 4265, 22114, 856, 56435, 13, 7648, 315, 1124, 8636, 1603, 358, 574, 9405, 779, 358, 2646, 7020, 1124, 13, 358, 4265, 1093, 311, 3449, 1124, 323, 1505, 704, 1148, 814, 1051, 1093, 627, 4054, 315, 856, 6800, 69, 19568, 574, 264, 11326, 323, 264, 39739, 1992, 304, 1633, 2678, 25861, 11, 719, 568, 15972, 5678, 22027, 1701, 6603, 568, 11021, 1555, 279, 8232, 13, 1283, 1047, 6603, 555, 1274, 1093, 8384, 23014, 320, 263, 1314, 705, 320, 14965, 51287, 17303, 279, 6900, 389, 279, 17130, 1203, 994, 57678, 1051, 2103, 6646, 7701, 32887, 570, 358, 617, 6603, 315, 856, 38950, 596, 1405, 279, 37682, 527, 10409, 449, 813, 11503, 311, 279, 5435, 520, 279, 842, 315, 279, 30732, 627, 2170, 264, 28568, 11, 499, 2011, 387, 304, 3729, 449, 1274, 505, 682, 927, 279, 1917, 13, 3639, 374, 279, 1455, 19018, 3488, 477, 4068, 499, 617, 3596, 17454, 5380, 40, 3077, 6575, 389, 1403, 6625, 7224, 323, 7543, 264, 2763, 315, 892, 304, 2204, 5961, 3318, 449, 1274, 505, 682, 927, 279, 1917, 13, 1789, 279, 1455, 961, 11, 1070, 9167, 956, 1027, 2466, 12062, 1990, 27833, 11, 323, 358, 3077, 1766, 430, 433, 596, 539, 2744, 4228, 311, 22824, 553, 1274, 13, 763, 2144, 11, 358, 14134, 1766, 7182, 304, 16659, 449, 3026, 505, 38915, 323, 6457, 889, 3974, 304, 1561, 4356, 11, 1403, 3278, 505, 15704, 323, 25431, 889, 3974, 304, 9635, 11, 264, 6063, 5496, 304, 30221, 11, 323, 459, 58069, 5496, 304, 38915, 627, 15546, 574, 701, 7075, 11326, 304, 2978, 30, 3639, 574, 420, 11326, 1093, 323, 1268, 1550, 568, 57695, 10383, 701, 2324, 5380, 90755, 311, 4320, 13, 358, 1047, 779, 1690, 2294, 13639, 13, 578, 6305, 358, 6227, 1888, 1051, 7941, 11, 69318, 323, 42777, 922, 2225, 872, 4236, 323, 872, 15223, 13, 2435, 1903, 757, 1781, 627, 3923, 656, 499, 1781, 374, 279, 1455, 3062, 30116, 12178, 430, 706, 10222, 304, 701, 19569, 5380, 58712, 83962, 5380, 40, 23289, 358, 4265, 617, 311, 2019, 279, 7757, 13, 358, 1511, 311, 1005, 279, 6875, 323, 1053, 1630, 99258, 9908, 505, 6965, 42780, 13, 358, 1511, 311, 617, 311, 1650, 477, 636, 2038, 555, 8232, 369, 4395, 505, 5818, 37869, 323, 33575, 14741, 311, 5754, 14370, 13, 4800, 358, 649, 636, 53093, 828, 505, 1455, 47710, 477, 9473, 2038, 449, 7362, 18105, 4661, 9888, 20933, 13, 358, 2846, 539, 2771, 430, 433, 596, 2744, 264, 1695, 3245, 11, 719, 358, 649, 636, 4661, 4395, 358, 1205, 2085, 7366, 505, 856, 18496, 627, 3923, 374, 279, 832, 2466, 8063, 499, 617, 11, 477, 279, 832, 3245, 430, 499, 1053, 1093, 311, 22829, 2391, 701, 19569, 5380, 4599, 358, 574, 304, 1579, 35789, 856, 364, 57291, 6, 574, 311, 3719, 264, 83323, 13, 358, 3463, 433, 574, 7155, 323, 2653, 13, 4800, 11, 1148, 358, 1390, 374, 311, 617, 264, 24770, 2324, 13, 358, 1390, 311, 656, 990, 430, 374, 17436, 323, 430, 358, 4774, 13, 358, 1390, 856, 990, 311, 387, 5505, 323, 31387, 13, 358, 1390, 856, 3070, 311, 387, 6380, 13, 358, 1390, 892, 311, 4774, 682, 279, 1023, 7185, 2574, 304, 2324, 12898, 19480, 12, 1049, 21, 220, 2545, 25, 2437, 0, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3923, 374, 420, 2217, 5380, 69009, 574, 9405, 304, 11246, 7984, 35573, 11, 13286, 11, 719, 555, 279, 892, 1364, 3940, 2978, 11, 1077, 3070, 1047, 7882, 311, 29890, 13, 3005, 18677, 459, 682, 63970, 82, 2978, 1070, 11, 323, 433, 574, 1077, 220, 23, 339, 12239, 7106, 8198, 11326, 889, 1176, 281, 5118, 291, 1077, 2802, 304, 22027, 13, 4800, 420, 574, 539, 701, 5578, 22027, 538, 13, 2435, 15243, 922, 2574, 1093, 1268, 1690, 13116, 264, 4848, 33520, 6573, 2643, 617, 11, 323, 814, 68683, 50843, 369, 8146, 1093, 3177, 6437, 11, 323, 814, 6476, 449, 1118, 18200, 13, 20263, 10456, 433, 627, 4516, 1306, 1579, 2978, 11, 1364, 743, 1022, 369, 25996, 311, 990, 389, 459, 41534, 8547, 304, 22027, 13, 2030, 20263, 38674, 433, 13, 34969, 1051, 2288, 5107, 323, 1364, 1047, 4529, 2288, 1690, 13, 3277, 1364, 33109, 11, 1364, 92307, 1364, 1053, 2646, 733, 1203, 311, 22027, 13, 2100, 20263, 9435, 311, 4007, 19675, 304, 19560, 2978, 1198, 97725, 627, 21119, 426, 25, 20263, 1047, 311, 3094, 1203, 323, 7652, 1077, 7076, 8446, 13, 3005, 7020, 1364, 10456, 12917, 11, 779, 1364, 6137, 449, 1148, 1364, 7020, 1888, 25, 22027, 323, 7033, 13, 2030, 304, 264, 15206, 2543, 11, 1306, 264, 5743, 315, 1667, 315, 12917, 20263, 15393, 430, 2133, 1203, 311, 2978, 311, 4007, 22027, 1053, 1520, 1077, 3719, 279, 1888, 11326, 1364, 1436, 387, 13, 19326, 3907, 32069, 1077, 13, 1102, 574, 2653, 990, 11, 719, 3131, 1578, 22027, 574, 27387, 323, 2523, 627, 644, 264, 2875, 892, 11, 1077, 2802, 304, 12917, 22027, 3940, 311, 1935, 264, 1203, 10954, 311, 22027, 3495, 13, 1789, 1077, 19560, 990, 11, 20263, 14896, 311, 4007, 12025, 22761, 17688, 482, 330, 64, 11364, 2115, 449, 7029, 1825, 18841, 3634, 1210, 1628, 1606, 433, 58943, 10278, 990, 323, 10334, 11, 1364, 14896, 22772, 12025, 22761, 17688, 11, 1405, 330, 9514, 636, 311, 1977, 2574, 323, 4321, 2212, 449, 264, 60588, 304, 701, 1203, 18301, 13, 1472, 3881, 22027, 1475, 1938, 11, 4560, 311, 1304, 24198, 323, 3619, 1268, 814, 990, 13, 5112, 499, 636, 311, 24564, 279, 828, 505, 1884, 24198, 10246, 791, 1630, 8195, 12, 77477, 58974, 596, 1579, 64036, 43976, 2895, 1113, 27726, 88371, 320, 49, 16929, 8, 320, 263, 1314, 8, 574, 279, 1888, 2447, 369, 1077, 1606, 315, 1202, 4500, 25845, 25, 1364, 1436, 387, 6532, 304, 4857, 279, 14473, 323, 2103, 387, 1070, 994, 279, 828, 11721, 505, 3634, 13, 578, 432, 16929, 374, 264, 7665, 11746, 16784, 2447, 449, 1063, 19564, 505, 2326, 14673, 627, 69009, 574, 3025, 311, 1520, 1977, 323, 1296, 433, 520, 19326, 1603, 433, 574, 18751, 1139, 279, 42640, 13, 3005, 15662, 1077, 30661, 3318, 389, 279, 4500, 323, 60993, 315, 279, 432, 16929, 323, 279, 1005, 315, 433, 323, 1023, 9618, 442, 2481, 311, 4007, 3428, 3148, 865, 30630, 70837, 13, 320, 12686, 2065, 374, 279, 11944, 4096, 315, 279, 1648, 459, 14473, 4375, 13, 1102, 596, 9193, 3062, 1606, 14248, 2011, 3619, 279, 14473, 596, 19035, 311, 279, 7257, 828, 814, 1518, 323, 387, 3025, 311, 8821, 1202, 6372, 505, 279, 3177, 315, 1972, 12025, 22761, 19506, 6302, 6266, 578, 1630, 8195, 12, 77477, 58974, 11887, 304, 220, 2550, 24, 11, 323, 1243, 20263, 1047, 279, 6776, 311, 70755, 433, 1418, 304, 27605, 13, 3005, 8308, 279, 3217, 555, 21630, 12025, 22761, 19506, 6302, 1701, 432, 16929, 828, 627, 82430, 98417, 527, 3629, 18255, 1139, 42045, 1705, 323, 828, 31499, 13, 578, 42045, 1705, 1977, 279, 47710, 323, 279, 828, 31499, 1005, 279, 828, 505, 1124, 13, 20263, 374, 8173, 304, 2225, 323, 15849, 430, 1884, 889, 617, 3217, 304, 2225, 1977, 279, 1888, 24198, 13, 3161, 15098, 2731, 5557, 11, 24198, 649, 387, 1511, 311, 4007, 6302, 304, 7191, 8149, 323, 7872, 11, 323, 2731, 8830, 315, 279, 14473, 596, 36486, 323, 44667, 6276, 14248, 311, 4585, 279, 13693, 13, 1952, 279, 1023, 3185, 11, 994, 14248, 1440, 1148, 814, 1390, 311, 4007, 323, 1101, 1440, 279, 27129, 430, 649, 387, 23926, 304, 42118, 828, 11, 279, 24198, 649, 387, 32971, 304, 264, 810, 5505, 1648, 627, 6153, 39554, 11, 20263, 596, 12624, 12034, 24465, 1077, 311, 990, 389, 279, 4500, 315, 279, 35487, 24468, 1630, 79504, 27726, 88371, 320, 55, 11706, 8, 320, 263, 2163, 11, 1694, 22306, 1139, 279, 50400, 277, 705, 459, 14473, 430, 5829, 502, 5557, 430, 1946, 1392, 279, 921, 24155, 323, 1630, 8195, 12, 77477, 9618, 442, 2481, 13, 20263, 3782, 311, 4359, 67, 569, 389, 459, 452, 7532, 63349, 304, 220, 1049, 16, 11, 1120, 439, 279, 1630, 11706, 574, 1694, 5918, 13, 1666, 449, 279, 432, 16929, 14473, 11, 1364, 706, 1027, 3025, 311, 16136, 304, 3752, 4954, 279, 9618, 88371, 627, 6153, 1403, 1667, 389, 459, 452, 7532, 63349, 20263, 574, 22163, 439, 264, 8431, 41564, 12025, 22761, 1065, 292, 380, 520, 4359, 67, 569, 13, 3005, 9731, 42118, 432, 16929, 828, 323, 1457, 706, 3892, 3610, 828, 3585, 311, 3460, 1555, 4999, 69009, 574, 1101, 3025, 311, 3136, 1077, 990, 389, 279, 1630, 11706, 323, 17210, 311, 1202, 38711, 389, 279, 5015, 304, 6457, 304, 279, 7474, 315, 220, 1049, 19, 13, 578, 9618, 88371, 574, 18751, 1139, 279, 42640, 323, 690, 387, 11887, 505, 6457, 304, 220, 1049, 20, 627, 3923, 374, 1364, 3411, 369, 304, 279, 828, 30, 20263, 374, 8173, 304, 66425, 51856, 323, 1268, 433, 649, 387, 1511, 311, 8417, 279, 7106, 4787, 304, 87283, 6302, 13, 20263, 574, 279, 3063, 369, 264, 2128, 315, 14248, 430, 463, 2788, 264, 77850, 73404, 6917, 596, 15135, 555, 30090, 369, 279, 1176, 892, 1268, 279, 20326, 315, 1202, 4376, 25224, 16975, 374, 62236, 555, 14560, 71019, 8603, 520, 279, 7479, 13, 12362, 66425, 51856, 814, 527, 4560, 311, 8417, 1148, 1376, 5030, 5097, 520, 279, 24674, 90816, 304, 279, 6332, 315, 264, 29368, 73404, 6917, 13, 3277, 279, 35487, 24468, 34079, 11706, 9618, 88371, 8638, 311, 3493, 828, 11, 1364, 690, 923, 279, 502, 828, 311, 1077, 7978, 627, 7816, 922, 420, 990, 512, 13246, 1455, 1023, 12025, 22761, 1065, 292, 1705, 11, 20263, 3250, 956, 617, 264, 14595, 990, 1316, 13, 3005, 27772, 264, 7029, 8205, 315, 9256, 11, 2533, 1364, 4375, 389, 2225, 14473, 38711, 323, 828, 6492, 505, 27605, 287, 47710, 13, 4427, 2919, 1364, 596, 304, 279, 10278, 6376, 709, 24198, 323, 20646, 369, 38711, 13, 7089, 2919, 1364, 374, 4737, 38711, 828, 477, 42118, 6484, 828, 1198, 10213, 520, 1077, 18496, 449, 264, 6500, 323, 38266, 13, 20263, 38202, 264, 2763, 315, 892, 4477, 11, 323, 1070, 527, 264, 2763, 315, 16659, 323, 23541, 4819, 6532, 449, 11213, 7224, 627, 13622, 1274, 304, 279, 1917, 617, 311, 656, 2653, 9511, 477, 990, 520, 7032, 430, 814, 1541, 956, 2512, 922, 1120, 311, 636, 264, 78079, 13, 20263, 374, 38564, 311, 387, 3025, 311, 990, 389, 47710, 430, 690, 387, 11887, 1139, 3634, 323, 1243, 1005, 828, 505, 1124, 311, 4007, 6302, 1093, 73404, 9958, 323, 3776, 20349, 13, 3005, 38202, 1077, 2919, 7422, 922, 8278, 19476, 323, 279, 40164, 304, 279, 15861, 13, 2057, 20263, 11, 3318, 304, 12025, 22761, 17688, 374, 264, 11364, 19913, 627, 25729, 433, 596, 389, 3363, 82835, 477, 24521, 33965, 11, 20263, 16180, 1694, 34632, 323, 11689, 2212, 13, 3005, 1101, 16180, 1317, 5754, 23277, 323, 21646, 304, 4689, 13, 1666, 264, 10585, 11, 20263, 323, 1077, 3070, 1511, 311, 27402, 1139, 279, 1841, 323, 6678, 505, 1561, 4356, 311, 23195, 304, 279, 7474, 311, 4034, 1077, 56435, 11, 264, 38040, 11, 653, 19153, 11, 323, 61007, 13, 3005, 35292, 3629, 311, 1518, 1077, 1510, 11838, 3070, 11, 1455, 315, 8884, 527, 389, 279, 6460, 13962, 13, 1628, 369, 279, 1176, 2478, 1667, 430, 1364, 6575, 520, 4359, 67, 569, 11, 1077, 10177, 12439, 304, 1561, 4356, 311, 3136, 813, 7076, 449, 19225, 1989, 11, 779, 1364, 1053, 4034, 1461, 1070, 1455, 38102, 627, 4897, 574, 330, 15145, 3343, 4800, 1455, 315, 20263, 596, 892, 4994, 315, 990, 374, 7543, 449, 1077, 502, 8945, 323, 1077, 10177, 13, 8876, 279, 8945, 11721, 814, 8493, 810, 892, 304, 279, 6652, 11, 423, 732, 13, 3158, 323, 733, 311, 1561, 4356, 1193, 922, 3131, 264, 2305, 13, 2030, 814, 2103, 8493, 264, 2763, 315, 892, 520, 51677, 323, 1989, 43654, 304, 2225, 9919, 627, 2746, 892, 5944, 1051, 3284, 11, 994, 323, 1405, 1053, 499, 4034, 11, 323, 3249, 5380, 40, 4265, 733, 311, 220, 5162, 17, 11, 719, 1193, 422, 358, 1436, 387, 3842, 40208, 320, 263, 2163, 8, 369, 279, 220, 20, 4207, 304, 902, 568, 1176, 37466, 1639, 279, 9578, 13, 3639, 459, 24674, 1684, 430, 1053, 617, 1027, 4999, 2746, 499, 15058, 956, 264, 28568, 11, 1148, 1053, 499, 387, 5380, 32, 11326, 320, 2201, 13051, 1070, 43492, 358, 3021, 9455, 5627, 311, 10552, 264, 12624, 7434, 311, 4423, 323, 9298, 872, 12580, 279, 4545, 994, 814, 364, 456, 433, 24482, 2746, 499, 1436, 22114, 2380, 1274, 505, 6957, 3925, 311, 701, 3838, 369, 14177, 11, 889, 1053, 499, 22114, 323, 3249, 5380, 2170, 1317, 439, 584, 733, 704, 311, 8343, 2533, 358, 1541, 956, 2216, 4394, 9522, 53692, 11, 358, 4265, 4762, 539, 22114, 3967, 13970, 5885, 13, 358, 4265, 22114, 856, 56435, 13, 7648, 315, 1124, 8636, 1603, 358, 574, 9405, 779, 358, 2646, 7020, 1124, 13, 358, 4265, 1093, 311, 3449, 1124, 323, 1505, 704, 1148, 814, 1051, 1093, 627, 4054, 315, 856, 6800, 69, 19568, 574, 264, 11326, 323, 264, 39739, 1992, 304, 1633, 2678, 25861, 11, 719, 568, 15972, 5678, 22027, 1701, 6603, 568, 11021, 1555, 279, 8232, 13, 1283, 1047, 6603, 555, 1274, 1093, 8384, 23014, 320, 263, 1314, 705, 320, 14965, 51287, 17303, 279, 6900, 389, 279, 17130, 1203, 994, 57678, 1051, 2103, 6646, 7701, 32887, 570, 358, 617, 6603, 315, 856, 38950, 596, 1405, 279, 37682, 527, 10409, 449, 813, 11503, 311, 279, 5435, 520, 279, 842, 315, 279, 30732, 627, 2170, 264, 28568, 11, 499, 2011, 387, 304, 3729, 449, 1274, 505, 682, 927, 279, 1917, 13, 3639, 374, 279, 1455, 19018, 3488, 477, 4068, 499, 617, 3596, 17454, 5380, 40, 3077, 6575, 389, 1403, 6625, 7224, 323, 7543, 264, 2763, 315, 892, 304, 2204, 5961, 3318, 449, 1274, 505, 682, 927, 279, 1917, 13, 1789, 279, 1455, 961, 11, 1070, 9167, 956, 1027, 2466, 12062, 1990, 27833, 11, 323, 358, 3077, 1766, 430, 433, 596, 539, 2744, 4228, 311, 22824, 553, 1274, 13, 763, 2144, 11, 358, 14134, 1766, 7182, 304, 16659, 449, 3026, 505, 38915, 323, 6457, 889, 3974, 304, 1561, 4356, 11, 1403, 3278, 505, 15704, 323, 25431, 889, 3974, 304, 9635, 11, 264, 6063, 5496, 304, 30221, 11, 323, 459, 58069, 5496, 304, 38915, 627, 15546, 574, 701, 7075, 11326, 304, 2978, 30, 3639, 574, 420, 11326, 1093, 323, 1268, 1550, 568, 57695, 10383, 701, 2324, 5380, 90755, 311, 4320, 13, 358, 1047, 779, 1690, 2294, 13639, 13, 578, 6305, 358, 6227, 1888, 1051, 7941, 11, 69318, 323, 42777, 922, 2225, 872, 4236, 323, 872, 15223, 13, 2435, 1903, 757, 1781, 627, 3923, 656, 499, 1781, 374, 279, 1455, 3062, 30116, 12178, 430, 706, 10222, 304, 701, 19569, 5380, 58712, 83962, 5380, 40, 23289, 358, 4265, 617, 311, 2019, 279, 7757, 13, 358, 1511, 311, 1005, 279, 6875, 323, 1053, 1630, 99258, 9908, 505, 6965, 42780, 13, 358, 1511, 311, 617, 311, 1650, 477, 636, 2038, 555, 8232, 369, 4395, 505, 5818, 37869, 323, 33575, 14741, 311, 5754, 14370, 13, 4800, 358, 649, 636, 53093, 828, 505, 1455, 47710, 477, 9473, 2038, 449, 7362, 18105, 4661, 9888, 20933, 13, 358, 2846, 539, 2771, 430, 433, 596, 2744, 264, 1695, 3245, 11, 719, 358, 649, 636, 4661, 4395, 358, 1205, 2085, 7366, 505, 856, 18496, 627, 3923, 374, 279, 832, 2466, 8063, 499, 617, 11, 477, 279, 832, 3245, 430, 499, 1053, 1093, 311, 22829, 2391, 701, 19569, 5380, 4599, 358, 574, 304, 1579, 35789, 856, 364, 57291, 6, 574, 311, 3719, 264, 83323, 13, 358, 3463, 433, 574, 7155, 323, 2653, 13, 4800, 11, 1148, 358, 1390, 374, 311, 617, 264, 24770, 2324, 13, 358, 1390, 311, 656, 990, 430, 374, 17436, 323, 430, 358, 4774, 13, 358, 1390, 856, 990, 311, 387, 5505, 323, 31387, 13, 358, 1390, 856, 3070, 311, 387, 6380, 13, 358, 1390, 892, 311, 4774, 682, 279, 1023, 7185, 2574, 304, 2324, 12898, 19480, 12, 1049, 21, 220, 2545, 25, 2437, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062 ]
2,063
[ 128000, 6107, 11, 374, 20387, 477, 1461, 477, 279, 10585, 2133, 311, 25487, 499, 704, 520, 4325, 220, 1644, 994, 279, 5133, 5616, 17503, 10980, 323, 499, 3287, 1431, 6381, 2978, 11, 1541, 1431, 617, 264, 7076, 1853, 11, 2646, 46368, 11, 36131, 11, 25720, 704, 1148, 499, 4934, 304, 2324, 11, 5099, 13, 1023, 220, 1419, 1060, 79573, 527, 704, 3815, 430, 1314, 1457, 13, 2684, 374, 264, 2944, 1690, 7724, 1005, 7342, 2585, 323, 1541, 1431, 1390, 264, 8945, 520, 220, 1419, 482, 1606, 499, 1120, 4933, 6980, 323, 3194, 704, 389, 264, 2763, 315, 430, 6392, 13, 1472, 3207, 7554, 704, 389, 433, 63445, 323, 3287, 1431, 1524, 617, 264, 10585, 323, 7784, 1431, 1524, 12502, 311, 279, 8945, 753, 18233, 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 ]
[ 128000, 6107, 11, 374, 20387, 477, 1461, 477, 279, 10585, 2133, 311, 25487, 499, 704, 520, 4325, 220, 1644, 994, 279, 5133, 5616, 17503, 10980, 323, 499, 3287, 1431, 6381, 2978, 11, 1541, 1431, 617, 264, 7076, 1853, 11, 2646, 46368, 11, 36131, 11, 25720, 704, 1148, 499, 4934, 304, 2324, 11, 5099, 13, 1023, 220, 1419, 1060, 79573, 527, 704, 3815, 430, 1314, 1457, 13, 2684, 374, 264, 2944, 1690, 7724, 1005, 7342, 2585, 323, 1541, 1431, 1390, 264, 8945, 520, 220, 1419, 482, 1606, 499, 1120, 4933, 6980, 323, 3194, 704, 389, 264, 2763, 315, 430, 6392, 13, 1472, 3207, 7554, 704, 389, 433, 63445, 323, 3287, 1431, 1524, 617, 264, 10585, 323, 7784, 1431, 1524, 12502, 311, 279, 8945, 753, 18233, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125 ]
126
[ 128000, 2181, 596, 7159, 0, 3639, 527, 499, 5403, 30, 42285, 3940, 555, 2363, 30362, 3520, 627, 40, 3940, 5403, 578, 37876, 4590, 1566, 2046, 11, 323, 389, 323, 1022, 1578, 1373, 433, 13, 57243, 358, 2846, 1193, 389, 12735, 2380, 13, 358, 1505, 433, 5107, 311, 1373, 279, 2363, 6288, 1093, 358, 656, 449, 1455, 6603, 1606, 315, 1268, 1790, 5266, 388, 527, 304, 433, 627, 40, 574, 3288, 264, 1715, 311, 1373, 22925, 555, 91609, 5664, 5248, 323, 358, 3940, 5403, 433, 13, 358, 1097, 1193, 389, 279, 2132, 12735, 11, 719, 433, 5084, 26455, 13, 358, 3987, 311, 617, 264, 3477, 315, 433, 3010, 420, 2046, 11, 477, 1828, 627, 24600, 25, 2363, 30362, 3520, 11, 6603, 11, 5131, 11, 3938, 11, 433, 596, 94299, 1148, 527, 499, 5403, 12909, 18545, 11, 94299, 11, 32963, 11, 1373, 11, 5403, 11, 6573, 11, 279, 69176, 4590, 627, 41551, 603, 922, 6261, 323, 1148, 499, 1093, 311, 656, 28858, 4477, 627, 40, 4344, 220, 1591, 11, 12502, 323, 6691, 311, 264, 1633, 781, 24694, 2380, 1060, 2362, 13, 358, 617, 264, 426, 885, 13, 304, 4477, 323, 1097, 5131, 264, 19560, 5575, 13, 358, 3021, 311, 5944, 323, 15704, 374, 856, 7075, 5944, 9284, 13, 60780, 709, 11, 358, 7543, 1690, 80769, 1070, 323, 18677, 7926, 304, 22463, 369, 264, 1418, 13, 358, 1101, 3021, 311, 23360, 11, 8493, 892, 449, 3070, 323, 4885, 11, 323, 14284, 709, 449, 856, 3169, 273, 311, 1373, 264, 2294, 2363, 627, 4599, 1550, 499, 1212, 4477, 578, 44956, 5380, 40, 3940, 4477, 279, 2363, 922, 8223, 4038, 4227, 13, 2468, 1176, 433, 574, 2555, 358, 13061, 709, 1475, 3131, 304, 264, 1418, 311, 990, 389, 13, 358, 6244, 2216, 12673, 311, 279, 3446, 323, 279, 5885, 323, 358, 1766, 7182, 19762, 311, 3350, 810, 323, 810, 13, 94965, 279, 842, 11, 358, 574, 4477, 304, 30335, 6596, 50699, 627, 3923, 574, 279, 1455, 5107, 961, 922, 4477, 578, 44956, 5380, 791, 1455, 5107, 961, 574, 9455, 279, 892, 311, 3350, 13, 28232, 3070, 323, 2978, 11, 433, 649, 636, 264, 2766, 91425, 627, 27125, 1070, 2555, 3230, 30529, 13, 4623, 11, 6237, 11, 3752, 430, 3940, 279, 11775, 5380, 14326, 6848, 2477, 1139, 856, 2010, 682, 279, 892, 779, 358, 6920, 264, 539, 70641, 323, 5869, 304, 856, 53101, 449, 757, 13, 358, 1456, 311, 3350, 1124, 1523, 323, 1243, 733, 1203, 311, 1124, 3010, 13, 578, 4623, 369, 578, 44956, 16075, 449, 757, 323, 433, 574, 279, 4623, 358, 8774, 2133, 1203, 311, 627, 8607, 12283, 3350, 1148, 814, 1440, 323, 872, 11704, 13, 3639, 1051, 701, 1866, 11704, 499, 3779, 311, 279, 11775, 5380, 40, 1781, 76479, 11321, 1093, 1364, 706, 779, 1790, 12014, 389, 1077, 28004, 430, 1364, 14035, 433, 2653, 311, 1505, 892, 369, 11937, 311, 7216, 704, 1148, 1364, 6944, 13, 358, 649, 29243, 311, 430, 8430, 315, 1694, 43206, 520, 3115, 627, 5519, 499, 3596, 636, 69763, 922, 54108, 1057, 1917, 690, 387, 1093, 76479, 596, 5380, 2688, 69763, 719, 1070, 753, 2744, 430, 3463, 304, 279, 1203, 315, 856, 2010, 315, 1148, 422, 30, 1102, 753, 2744, 11190, 311, 13085, 1148, 3169, 315, 1917, 584, 1053, 3974, 304, 422, 1521, 2574, 3604, 7077, 13, 358, 1781, 433, 11621, 311, 279, 69871, 315, 279, 3446, 627, 2746, 499, 1051, 304, 76479, 596, 15653, 11, 1053, 499, 990, 520, 279, 6898, 822, 331, 5955, 477, 1505, 1023, 5627, 311, 1304, 264, 5496, 5380, 791, 2683, 520, 279, 6898, 822, 331, 19487, 779, 1790, 3987, 369, 76479, 779, 358, 1440, 358, 1053, 617, 2884, 279, 1890, 323, 4529, 279, 2683, 13, 3277, 499, 3207, 430, 28495, 311, 1935, 2512, 315, 701, 10456, 6305, 1694, 21816, 4536, 1431, 459, 3072, 323, 76479, 16365, 430, 627, 3923, 649, 499, 3371, 603, 922, 279, 2132, 47644, 5380, 40, 4344, 1633, 12304, 922, 433, 0, 2684, 527, 2133, 311, 387, 502, 5885, 11784, 323, 584, 4805, 1518, 76479, 733, 1555, 264, 2466, 18475, 13, 1102, 753, 2133, 311, 387, 7185, 311, 1518, 1268, 1364, 13777, 279, 82715, 8838, 48260, 1364, 753, 1766, 11937, 304, 323, 1268, 3117, 1364, 3358, 4585, 11937, 323, 279, 1274, 2212, 1077, 13, 362, 2478, 14599, 24511, 527, 43522, 430, 690, 16805, 810, 922, 279, 5885, 323, 872, 6439, 1603, 279, 6898, 822, 331, 627, 5519, 499, 617, 904, 9650, 369, 16483, 430, 527, 5131, 3318, 389, 872, 11775, 5380, 4427, 2919, 11, 279, 4339, 2586, 51513, 704, 1418, 1023, 2919, 358, 46943, 520, 279, 6500, 4264, 323, 1981, 42312, 13, 24838, 374, 264, 29551, 1030, 2352, 12141, 323, 358, 1781, 279, 5133, 1990, 459, 3229, 323, 264, 11775, 374, 3021, 2902, 349, 13, 4557, 439, 1790, 439, 499, 649, 11, 3350, 439, 1790, 439, 499, 649, 11, 323, 4510, 499, 649, 3371, 264, 1695, 3446, 627, 32, 5743, 315, 5672, 4227, 358, 1373, 279, 1176, 11775, 315, 578, 62831, 315, 56988, 37190, 4101, 13, 54451, 574, 17339, 11, 279, 5885, 2216, 14980, 704, 311, 757, 11, 719, 358, 3287, 956, 3021, 279, 4459, 4623, 315, 279, 62831, 13, 36007, 519, 374, 279, 4948, 47644, 315, 279, 4101, 11, 323, 358, 4265, 2103, 2019, 279, 1890, 3245, 422, 358, 574, 11890, 4423, 922, 420, 4101, 13, 358, 3021, 682, 279, 7872, 323, 279, 16682, 2136, 315, 682, 279, 5885, 11, 719, 279, 4459, 469, 844, 13, 1093, 1274, 1120, 3287, 956, 1304, 5647, 11, 369, 757, 63445, 627, 791, 7314, 315, 279, 11775, 11, 1093, 279, 1176, 11775, 304, 279, 4101, 8638, 704, 304, 264, 1917, 1405, 584, 1518, 4395, 279, 1925, 3752, 706, 3596, 11704, 323, 9731, 389, 311, 872, 7926, 2324, 13, 5112, 2555, 60883, 13980, 11, 902, 10800, 279, 4459, 50739, 3446, 1139, 264, 35509, 832, 11, 304, 856, 9647, 627, 40, 50863, 362, 1345, 13, 473, 867, 51515, 369, 1077, 28697, 323, 42365, 562, 311, 617, 2555, 304, 264, 11775, 430, 374, 264, 26422, 8712, 11, 902, 1455, 1053, 1093, 311, 636, 9463, 315, 719, 1541, 956, 1390, 311, 3137, 922, 13, 1442, 430, 1903, 5647, 13, 358, 3021, 1268, 362, 1345, 13, 473, 867, 51515, 3727, 1077, 5885, 26569, 323, 872, 1866, 11, 832, 315, 264, 3169, 13, 578, 1648, 1364, 11031, 264, 3446, 3235, 2216, 374, 2555, 430, 358, 6562, 358, 1436, 656, 13, 5112, 1070, 527, 3115, 994, 358, 4265, 1781, 358, 1288, 387, 31299, 11, 994, 358, 2846, 539, 304, 8903, 13, 1102, 596, 1120, 279, 6742, 304, 856, 2010, 374, 293, 675, 2785, 1077, 6548, 704, 323, 7231, 856, 4851, 704, 311, 1521, 5885, 11, 5423, 6186, 13, 549, 876, 0, 358, 649, 956, 1212, 311, 4510, 1268, 362, 1345, 13, 473, 867, 51515, 6267, 1778, 264, 11102, 1925, 3752, 2085, 15061, 1523, 505, 682, 315, 1077, 96322, 13, 358, 1101, 3021, 1268, 1364, 41802, 279, 23546, 315, 279, 330, 8115, 729, 1, 304, 420, 11775, 13, 1102, 596, 5115, 7185, 1268, 420, 374, 279, 4948, 47644, 315, 264, 4101, 11, 719, 649, 387, 1373, 29235, 627, 4516, 837, 11, 11112, 837, 627, 2028, 12929, 3727, 757, 12835, 323, 16106, 520, 279, 1890, 892, 627, 2181, 596, 7159, 0, 3639, 527, 499, 5403, 30, 42285, 374, 3940, 555, 2363, 30362, 3520, 627, 40, 3940, 5403, 36007, 519, 369, 264, 5117, 7364, 5108, 709, 11, 323, 279, 3477, 690, 387, 709, 389, 7950, 449, 264, 2216, 8056, 61064, 4999, 40, 1047, 22690, 435, 6015, 461, 25105, 264, 5743, 315, 5672, 4227, 11, 323, 3463, 430, 433, 1053, 387, 5128, 4228, 323, 2523, 311, 1304, 264, 27889, 369, 279, 11775, 13, 8489, 11, 8334, 574, 358, 5076, 13, 358, 1047, 779, 1790, 12544, 323, 12153, 311, 1781, 477, 1505, 904, 5609, 430, 14980, 704, 311, 23606, 264, 6237, 477, 264, 3752, 13, 358, 1193, 617, 1403, 11936, 430, 358, 4265, 1093, 311, 4430, 1606, 433, 596, 2731, 1109, 539, 11821, 520, 682, 13, 5321, 422, 499, 617, 904, 5609, 430, 2216, 14980, 704, 994, 499, 1373, 435, 6015, 461, 25105, 555, 88354, 21393, 11605, 4587, 5387, 264, 4068, 3770, 13, 358, 690, 1101, 2723, 279, 3477, 358, 6267, 369, 279, 11775, 1618, 627, 2028, 374, 1120, 459, 63615, 8579, 323, 10437, 5609, 430, 7437, 279, 20247, 315, 279, 11775, 627, 47016, 358, 2846, 5675, 11, 11102, 1523, 279, 6278, 315, 856, 4851, 702, 791, 32285, 20995, 574, 539, 1148, 358, 3685, 433, 311, 387, 11, 323, 358, 2846, 539, 2771, 1268, 1790, 358, 1093, 433, 13, 2684, 527, 1690, 2574, 430, 358, 3021, 922, 279, 11775, 13, 1789, 3187, 11, 279, 4459, 1203, 3446, 315, 67188, 323, 1268, 4395, 3940, 449, 15387, 323, 32460, 13, 4800, 11, 358, 2846, 539, 16879, 477, 10597, 520, 682, 11, 323, 358, 1541, 956, 4059, 5606, 596, 13901, 13, 2100, 358, 6612, 430, 74813, 480, 8110, 285, 1550, 264, 2294, 2683, 389, 430, 961, 1606, 1063, 12283, 649, 3350, 2288, 1790, 13901, 369, 856, 12945, 1606, 358, 1541, 956, 4510, 304, 1063, 315, 279, 2574, 430, 358, 2567, 5403, 505, 264, 10597, 2363, 11, 433, 649, 387, 2653, 311, 1093, 279, 11775, 13, 5112, 1070, 527, 1794, 774, 826, 430, 358, 2846, 539, 2771, 422, 358, 1093, 477, 48969, 13, 1789, 2937, 11, 279, 42865, 3070, 13, 578, 37783, 527, 1633, 7795, 88, 11, 3734, 2947, 385, 13, 358, 15262, 1077, 505, 279, 7314, 11, 719, 539, 682, 315, 1124, 13, 358, 22843, 264, 18027, 269, 304, 279, 3130, 627, 40, 1505, 433, 430, 2533, 584, 3974, 304, 1778, 264, 2035, 1405, 3772, 374, 15320, 1529, 3329, 5196, 520, 603, 11, 1070, 527, 1690, 5906, 13800, 811, 13, 358, 16102, 3021, 17637, 323, 358, 3021, 311, 4430, 1124, 311, 1274, 11, 323, 6958, 704, 264, 2307, 993, 3168, 88, 12929, 520, 1120, 279, 1314, 4545, 13, 320, 23956, 3250, 956, 3621, 3629, 11, 358, 2846, 3318, 389, 433, 8, 2100, 358, 617, 6773, 311, 1304, 264, 42285, 369, 17637, 13, 7357, 8079, 505, 1457, 389, 11, 23127, 13, 2052, 499, 617, 311, 656, 374, 4430, 264, 12929, 477, 1690, 17637, 499, 617, 3463, 315, 11, 1373, 11, 477, 6755, 315, 304, 430, 7138, 627, 8161, 956, 25552, 2206, 4536, 956, 2133, 311, 11913, 3885, 422, 814, 3194, 12929, 11, 1606, 27136, 584, 482, 422, 499, 527, 264, 3823, 482, 527, 2744, 3339, 21294, 13, 2100, 358, 1505, 7182, 2744, 5605, 1359, 4418, 956, 12929, 757, 389, 430, 1210, 1442, 499, 4265, 1093, 311, 5249, 757, 4587, 656, 13, 1442, 499, 617, 904, 4860, 4587, 2613, 757, 520, 1393, 91, 37004, 20739, 8651, 91, 578, 44956, 374, 459, 7185, 2363, 430, 358, 6773, 311, 1373, 1606, 433, 5097, 2035, 304, 264, 69110, 48748, 1917, 1405, 1070, 1047, 459, 42620, 430, 49266, 704, 682, 279, 12966, 13, 5112, 4131, 3235, 264, 502, 3109, 1405, 499, 527, 21682, 555, 902, 26741, 499, 48383, 304, 13, 578, 3117, 61943, 26741, 499, 527, 505, 5629, 4409, 279, 2753, 323, 2753, 2410, 279, 3109, 706, 2585, 315, 499, 323, 422, 814, 1524, 2512, 520, 682, 13, 578, 44956, 374, 922, 264, 1912, 315, 17510, 3278, 889, 527, 20895, 2391, 264, 892, 1405, 433, 596, 1633, 9024, 11, 323, 31299, 24869, 1053, 23935, 264, 4459, 26741, 13, 2100, 1243, 4131, 3235, 76479, 1611, 36518, 323, 1364, 14035, 264, 2683, 3318, 369, 279, 3109, 902, 1364, 8964, 374, 22681, 11, 719, 994, 1077, 63463, 7126, 596, 2343, 50483, 527, 5108, 304, 9333, 323, 5129, 15055, 315, 892, 1364, 706, 311, 3041, 1794, 774, 826, 709, 311, 3974, 13, 76479, 9221, 264, 29198, 369, 832, 315, 279, 44956, 323, 53159, 2574, 1364, 13434, 956, 994, 76479, 374, 304, 279, 35612, 627, 40, 2216, 15262, 420, 4623, 994, 358, 1176, 1373, 279, 12399, 1606, 433, 574, 2204, 505, 682, 279, 1023, 69110, 48748, 6603, 430, 527, 704, 1070, 13, 81156, 3341, 9700, 4458, 596, 4477, 574, 1633, 4382, 11, 719, 1148, 358, 2216, 10456, 922, 279, 11775, 374, 1606, 1364, 13912, 264, 1695, 18338, 323, 3727, 757, 387, 389, 279, 6964, 315, 856, 10954, 11, 15320, 13, 358, 1101, 3021, 1268, 1364, 5918, 709, 279, 1917, 13, 20636, 3738, 2574, 430, 2873, 69782, 311, 603, 11, 2733, 1093, 459, 20167, 311, 279, 1274, 304, 420, 1917, 13, 358, 1781, 11, 20426, 1455, 69110, 48748, 32963, 1070, 4536, 956, 1790, 5557, 50925, 304, 578, 44956, 13, 763, 856, 4059, 994, 358, 1781, 315, 279, 78251, 430, 1274, 3974, 304, 1023, 1109, 220, 23, 11, 358, 1781, 315, 264, 20457, 6424, 11, 477, 264, 1633, 65531, 21643, 6424, 13, 358, 2103, 1148, 311, 1440, 1148, 5629, 4409, 323, 26741, 220, 23, 2216, 1427, 1093, 627, 39, 69426, 1611, 36518, 374, 279, 8954, 46684, 323, 1364, 706, 1063, 8334, 5435, 24059, 1690, 3885, 13, 358, 1436, 1120, 2733, 279, 3021, 22217, 439, 5246, 439, 51075, 3782, 1139, 279, 11775, 13, 426, 15930, 358, 2846, 389, 2128, 51075, 11, 422, 1070, 374, 264, 2128, 13, 358, 16102, 1541, 956, 1093, 445, 26261, 13, 3092, 1176, 21455, 315, 1461, 574, 11, 330, 1548, 596, 2133, 311, 34568, 1124, 1210, 3011, 574, 264, 1633, 25984, 3245, 311, 9855, 11, 719, 27136, 358, 9167, 956, 82830, 709, 311, 1461, 323, 505, 279, 5992, 315, 1405, 2574, 2133, 358, 2733, 1093, 568, 596, 2133, 311, 387, 279, 832, 13, 2684, 1051, 1063, 5885, 430, 358, 617, 264, 2763, 315, 10082, 304, 13, 1789, 3187, 11, 4072, 10994, 44125, 832, 315, 279, 44956, 8884, 76479, 37465, 6957, 1077, 20209, 13, 4072, 10994, 311, 757, 374, 264, 1633, 3831, 3752, 323, 358, 1781, 422, 1364, 5828, 956, 20895, 323, 1364, 1047, 2500, 3560, 304, 279, 11775, 1364, 4265, 10536, 31056, 13, 578, 330, 14176, 7752, 1, 3287, 956, 44030, 757, 27136, 13, 2435, 3287, 956, 1304, 757, 1781, 11, 330, 11649, 11, 420, 374, 2133, 311, 387, 1633, 1633, 3958, 1359, 477, 2555, 3235, 1884, 5238, 13, 7566, 11, 1070, 527, 1794, 774, 826, 430, 527, 3169, 315, 66427, 430, 527, 40444, 11, 719, 358, 1541, 956, 1518, 3249, 814, 527, 3815, 279, 2574, 430, 814, 527, 13, 578, 3109, 374, 1633, 84099, 323, 358, 2216, 1390, 311, 1440, 1148, 814, 527, 2133, 311, 656, 449, 279, 24869, 315, 279, 44956, 1606, 433, 5084, 1093, 2555, 2466, 374, 2133, 311, 12446, 627, 791, 44956, 369, 757, 11, 574, 264, 1633, 4062, 7474, 1373, 323, 422, 358, 1047, 892, 4762, 1436, 6381, 304, 264, 1938, 477, 1063, 4207, 13, 578, 11775, 706, 264, 1633, 5043, 18338, 11, 323, 279, 51331, 4536, 956, 2288, 12178, 430, 358, 2846, 15320, 20910, 323, 1938, 57291, 287, 922, 279, 78251, 323, 279, 14016, 627, 40, 2733, 1093, 420, 3460, 315, 3446, 1436, 3621, 304, 1063, 1648, 13, 358, 1541, 956, 1440, 1268, 323, 3249, 11, 719, 1070, 5084, 311, 387, 264, 8206, 304, 433, 13, 358, 2216, 3021, 1268, 81156, 3341, 9700, 4458, 3287, 956, 8104, 33394, 3201, 505, 653, 698, 4522, 2574, 1606, 430, 596, 1268, 279, 1917, 430, 76479, 6439, 304, 374, 13, 11208, 279, 4379, 1541, 956, 2512, 11, 323, 279, 17944, 14971, 527, 17277, 627, 40, 1097, 264, 39284, 315, 8254, 8945, 7795, 627, 40, 649, 1514, 279, 15012, 1130, 273, 11, 27374, 11, 323, 17418, 627, 40, 1097, 57596, 311, 1274, 889, 12491, 4395, 627, 46237, 358, 574, 25559, 555, 279, 11364, 24150, 19412, 519, 21446, 311, 3477, 813, 11775, 18589, 261, 596, 9240, 13, 358, 574, 2728, 279, 6776, 311, 1101, 7274, 1461, 323, 1618, 527, 1063, 1229, 5, 2170, 922, 1461, 323, 813, 24519, 11775, 627, 4599, 1550, 499, 1212, 4477, 18589, 261, 596, 9240, 5380, 41348, 261, 596, 9240, 574, 5439, 1990, 5936, 220, 1049, 20, 323, 6186, 220, 1049, 21, 627, 3923, 3169, 315, 3495, 1550, 499, 617, 311, 656, 369, 279, 11775, 5380, 40, 1550, 617, 311, 656, 1063, 3495, 389, 38201, 69756, 369, 279, 49784, 8668, 323, 40696, 13, 358, 3604, 6267, 430, 3857, 2391, 279, 69756, 65396, 11, 902, 1903, 279, 3495, 1790, 8831, 13, 358, 1101, 1047, 311, 3495, 1063, 922, 31319, 96764, 3925, 320, 4636, 1455, 315, 433, 358, 2736, 7020, 11, 433, 574, 810, 264, 5030, 315, 836, 13598, 705, 323, 279, 4689, 6932, 315, 22898, 13, 578, 3495, 5828, 956, 5423, 16595, 1606, 279, 3446, 5097, 2035, 304, 264, 3460, 315, 25631, 15861, 11, 779, 358, 1436, 1514, 2212, 449, 13363, 323, 3925, 13, 1789, 2937, 11, 279, 23768, 37533, 7351, 323, 279, 20320, 1912, 12538, 34392, 527, 6724, 1903, 709, 11, 8051, 814, 617, 1063, 8197, 304, 1972, 19567, 13, 7429, 11, 279, 16779, 315, 3331, 36303, 323, 11097, 47643, 708, 47142, 12252, 527, 1101, 44682, 1534, 11, 8051, 279, 6160, 67245, 315, 1884, 1403, 3026, 527, 35901, 13687, 627, 40, 3940, 4477, 994, 358, 574, 220, 23, 1667, 2362, 11, 323, 2744, 10456, 433, 11, 719, 358, 1047, 1027, 3815, 34596, 2533, 358, 574, 4848, 323, 3156, 856, 3389, 27294, 358, 15871, 6267, 11335, 323, 1940, 1220, 13, 358, 3463, 358, 574, 2133, 311, 387, 459, 12360, 3156, 2212, 279, 892, 358, 3940, 4477, 18589, 261, 596, 9240, 430, 358, 6773, 430, 4477, 1053, 387, 856, 1925, 5357, 13, 2030, 358, 574, 2744, 4477, 11, 15851, 315, 1148, 955, 627, 3957, 1070, 904, 4040, 3752, 430, 499, 29243, 449, 279, 1455, 5380, 58834, 11, 568, 374, 3460, 315, 856, 11857, 12, 13546, 13, 358, 6267, 279, 2363, 994, 358, 574, 220, 508, 323, 220, 1691, 11, 323, 568, 27053, 264, 2763, 315, 279, 5419, 28970, 358, 1047, 520, 279, 892, 13, 358, 574, 2646, 264, 42734, 39326, 11, 719, 279, 80096, 323, 6138, 568, 11321, 9017, 813, 3070, 323, 1063, 315, 813, 53808, 33726, 9017, 3278, 358, 6222, 520, 279, 892, 13, 18242, 279, 2363, 1457, 358, 3460, 315, 1589, 18177, 520, 813, 7865, 11, 1606, 1202, 264, 22599, 315, 1063, 315, 279, 11201, 13878, 315, 7182, 627, 3923, 656, 499, 1390, 701, 13016, 311, 636, 505, 5403, 18589, 261, 596, 9240, 5380, 40, 3987, 279, 2363, 70390, 48451, 13, 3861, 3245, 420, 3224, 374, 32161, 810, 323, 810, 374, 48451, 369, 1884, 889, 649, 956, 10477, 872, 16066, 13, 1226, 527, 264, 7140, 430, 559, 552, 3201, 505, 16066, 11, 505, 55689, 23948, 13, 1226, 733, 704, 315, 1057, 1648, 311, 7916, 1274, 709, 311, 10477, 6784, 323, 8060, 11, 323, 994, 814, 649, 956, 10477, 433, 11, 584, 559, 359, 1124, 13, 13440, 1202, 18710, 11, 27471, 11, 19542, 11, 477, 1524, 1120, 53237, 13, 358, 6227, 5496, 304, 20005, 1306, 69756, 11, 323, 4376, 279, 22475, 1405, 1070, 11, 323, 279, 2574, 358, 4265, 6865, 505, 1274, 922, 279, 22475, 574, 17936, 323, 52583, 13, 220, 4314, 1274, 1047, 26968, 264, 837, 31926, 11, 323, 2751, 4400, 719, 1344, 587, 304, 471, 13, 578, 8009, 304, 420, 3224, 527, 3629, 3970, 439, 16053, 477, 23460, 76488, 11, 4856, 1109, 20558, 7931, 889, 617, 1903, 832, 16930, 2288, 1690, 13, 578, 1890, 449, 78574, 11, 4619, 315, 1694, 12020, 439, 3823, 23837, 814, 527, 3970, 439, 64074, 13, 578, 1972, 5435, 374, 430, 1690, 1274, 1541, 956, 1390, 311, 4287, 430, 584, 682, 14993, 11, 323, 279, 6305, 889, 14993, 1455, 1205, 279, 1455, 1862, 13, 358, 3987, 856, 2363, 3727, 1521, 1274, 5101, 1972, 11, 9959, 11, 323, 28390, 315, 5201, 323, 3823, 38929, 627, 3923, 574, 279, 1455, 5107, 961, 315, 4477, 18589, 261, 596, 9240, 5380, 70957, 856, 1866, 24087, 315, 7645, 11, 8104, 449, 279, 5054, 3769, 13, 3277, 358, 1176, 6267, 433, 358, 5828, 956, 16913, 922, 11821, 856, 11939, 369, 31319, 96764, 24589, 11, 8104, 2533, 856, 3070, 7784, 956, 15879, 13, 358, 15243, 2212, 279, 3917, 264, 2763, 304, 4216, 64692, 11, 323, 3460, 315, 1903, 264, 6671, 449, 279, 23768, 37533, 7351, 430, 3287, 956, 25920, 9678, 27771, 304, 279, 1888, 3177, 11, 1120, 311, 1304, 757, 2873, 9049, 12031, 9017, 279, 7351, 13, 2030, 439, 358, 2751, 9191, 323, 810, 16913, 304, 856, 21463, 11, 279, 64692, 315, 279, 6603, 3940, 12967, 704, 810, 315, 430, 31319, 96764, 22519, 323, 279, 1984, 430, 47995, 1057, 7829, 323, 4737, 22519, 304, 433, 374, 315, 54711, 12939, 6244, 49479, 13, 3161, 279, 2363, 704, 1070, 358, 3358, 1518, 1268, 1274, 6013, 11, 779, 3117, 433, 706, 1027, 6928, 323, 358, 9167, 956, 17454, 1344, 587, 369, 279, 5054, 3769, 11, 719, 358, 2103, 617, 1063, 23418, 2136, 922, 433, 13, 578, 3769, 389, 18710, 574, 1101, 5107, 1606, 430, 706, 1027, 264, 3575, 430, 706, 11754, 7182, 323, 856, 3070, 369, 3892, 1667, 11, 323, 279, 3917, 374, 2103, 4856, 26175, 311, 13488, 13, 1398, 8478, 856, 21463, 323, 856, 28970, 311, 279, 13112, 430, 358, 656, 706, 2728, 757, 264, 3021, 7682, 349, 5133, 449, 279, 2363, 627, 5159, 5117, 8604, 4721, 261, 675, 32929, 46389, 916, 1405, 499, 649, 1505, 23691, 389, 18589, 261, 596, 9240, 323, 10631, 389, 4477, 11, 46209, 16039, 11, 323, 279, 23763, 5064, 627, 2675, 649, 1817, 704, 8604, 13, 4201, 4890, 2600, 287, 916, 11, 264, 502, 9678, 3577, 58394, 304, 22772, 17649, 13, 358, 1097, 12865, 304, 14681, 520, 362, 625, 437, 323, 358, 1097, 2744, 3411, 369, 12283, 323, 29846, 627, 2675, 649, 1101, 1427, 709, 279, 18589, 261, 596, 9240, 1912, 389, 5690, 916, 902, 706, 9013, 323, 3630, 389, 279, 2363, 627, 32999, 279, 18589, 261, 596, 9240, 574, 264, 1176, 389, 1690, 5990, 13, 1102, 574, 279, 1176, 13970, 93850, 32360, 6822, 17422, 358, 3077, 3596, 1373, 11, 323, 433, 596, 264, 1176, 430, 358, 2846, 3025, 311, 7274, 279, 3229, 24150, 19412, 519, 21446, 922, 279, 2363, 13, 358, 617, 311, 2019, 430, 358, 574, 1633, 44929, 922, 420, 11775, 13, 358, 6118, 2646, 1373, 6822, 17422, 11, 719, 358, 574, 10032, 311, 1456, 1606, 499, 1193, 3974, 3131, 11, 1314, 5380, 40, 3021, 279, 21976, 304, 279, 11775, 13, 3011, 574, 1120, 59045, 1285, 311, 757, 11, 1524, 3582, 1148, 814, 1071, 5828, 956, 8104, 59045, 1285, 13, 358, 3021, 1268, 568, 1071, 433, 1268, 433, 374, 13, 3011, 574, 17235, 37018, 13, 358, 1101, 3021, 1268, 4395, 8599, 682, 3871, 13, 358, 574, 520, 1176, 20558, 449, 682, 279, 8381, 28678, 323, 1486, 315, 6325, 1694, 30975, 2212, 11, 719, 430, 1903, 433, 6366, 311, 757, 13, 358, 3021, 24150, 19412, 519, 21446, 596, 1742, 315, 4477, 13, 1283, 706, 264, 1633, 5933, 1648, 315, 11890, 264, 3446, 779, 430, 574, 24729, 311, 1373, 627, 38589, 0, 8840, 856, 38031, 11, 1521, 5885, 1051, 779, 2324, 1093, 358, 3463, 358, 574, 5403, 264, 48345, 13, 358, 10456, 682, 315, 279, 5885, 323, 1695, 323, 3958, 11, 323, 814, 1051, 1120, 779, 7185, 323, 872, 7493, 1051, 32719, 3309, 13, 358, 1541, 956, 1781, 358, 3077, 3596, 6612, 810, 48451, 369, 264, 44682, 3752, 304, 856, 2324, 13, 358, 1541, 956, 1440, 1268, 24150, 19412, 519, 21446, 1550, 433, 11, 477, 7344, 6822, 17422, 1120, 706, 2731, 16483, 719, 358, 98663, 1935, 682, 315, 279, 3752, 311, 4851, 13, 358, 1781, 856, 7075, 3752, 374, 49720, 28316, 1606, 568, 1120, 16008, 2574, 22009, 311, 757, 13, 1283, 596, 279, 2362, 7564, 430, 499, 1440, 706, 810, 1109, 264, 19569, 315, 7493, 323, 499, 2733, 1093, 264, 2697, 10585, 14624, 311, 682, 279, 37565, 568, 10975, 627, 59431, 820, 17326, 320, 91808, 8, 374, 264, 17118, 3778, 902, 499, 649, 3371, 505, 279, 2316, 315, 279, 2363, 13, 2052, 813, 2324, 568, 706, 12439, 449, 264, 8271, 19823, 13, 4800, 439, 568, 4131, 1139, 813, 41317, 1060, 315, 1579, 2978, 568, 28727, 311, 733, 311, 279, 4251, 1579, 2978, 304, 279, 8961, 6424, 927, 13, 1115, 2643, 539, 2873, 1790, 11, 520, 3432, 596, 10886, 719, 311, 813, 34671, 9564, 279, 34671, 369, 2500, 2978, 374, 1093, 42823, 389, 499, 2351, 1866, 3169, 13, 5046, 3388, 11, 420, 5353, 1203, 98381, 505, 813, 3070, 323, 4885, 520, 279, 28767, 13, 2030, 439, 568, 34512, 988, 813, 2324, 1990, 279, 28767, 323, 279, 4251, 8961, 6424, 1579, 2978, 11, 568, 16008, 323, 13919, 2574, 568, 1436, 387, 11, 1790, 11493, 1109, 279, 6439, 520, 279, 28767, 1405, 5127, 374, 6118, 29850, 627, 40, 3077, 2751, 9709, 11555, 922, 420, 2363, 13, 1102, 374, 8056, 520, 279, 7872, 323, 279, 16924, 8331, 11, 719, 1070, 596, 2555, 922, 433, 430, 499, 1781, 1359, 1115, 3445, 264, 2763, 810, 19662, 1109, 433, 8111, 1210, 2876, 430, 358, 1541, 956, 3619, 420, 2363, 11, 719, 420, 11775, 374, 5115, 264, 5655, 2363, 422, 499, 1464, 433, 1523, 323, 1781, 922, 433, 13, 1102, 5828, 956, 3958, 824, 513, 11, 719, 1095, 596, 2019, 304, 391, 25264, 520, 1063, 5596, 11, 779, 1790, 430, 358, 1047, 311, 10936, 264, 2478, 6959, 13, 2030, 358, 1101, 1781, 430, 3515, 430, 374, 264, 2294, 961, 1606, 433, 5039, 279, 10973, 837, 961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2181, 596, 7159, 0, 3639, 527, 499, 5403, 30, 42285, 3940, 555, 2363, 30362, 3520, 627, 40, 3940, 5403, 578, 37876, 4590, 1566, 2046, 11, 323, 389, 323, 1022, 1578, 1373, 433, 13, 57243, 358, 2846, 1193, 389, 12735, 2380, 13, 358, 1505, 433, 5107, 311, 1373, 279, 2363, 6288, 1093, 358, 656, 449, 1455, 6603, 1606, 315, 1268, 1790, 5266, 388, 527, 304, 433, 627, 40, 574, 3288, 264, 1715, 311, 1373, 22925, 555, 91609, 5664, 5248, 323, 358, 3940, 5403, 433, 13, 358, 1097, 1193, 389, 279, 2132, 12735, 11, 719, 433, 5084, 26455, 13, 358, 3987, 311, 617, 264, 3477, 315, 433, 3010, 420, 2046, 11, 477, 1828, 627, 24600, 25, 2363, 30362, 3520, 11, 6603, 11, 5131, 11, 3938, 11, 433, 596, 94299, 1148, 527, 499, 5403, 12909, 18545, 11, 94299, 11, 32963, 11, 1373, 11, 5403, 11, 6573, 11, 279, 69176, 4590, 627, 41551, 603, 922, 6261, 323, 1148, 499, 1093, 311, 656, 28858, 4477, 627, 40, 4344, 220, 1591, 11, 12502, 323, 6691, 311, 264, 1633, 781, 24694, 2380, 1060, 2362, 13, 358, 617, 264, 426, 885, 13, 304, 4477, 323, 1097, 5131, 264, 19560, 5575, 13, 358, 3021, 311, 5944, 323, 15704, 374, 856, 7075, 5944, 9284, 13, 60780, 709, 11, 358, 7543, 1690, 80769, 1070, 323, 18677, 7926, 304, 22463, 369, 264, 1418, 13, 358, 1101, 3021, 311, 23360, 11, 8493, 892, 449, 3070, 323, 4885, 11, 323, 14284, 709, 449, 856, 3169, 273, 311, 1373, 264, 2294, 2363, 627, 4599, 1550, 499, 1212, 4477, 578, 44956, 5380, 40, 3940, 4477, 279, 2363, 922, 8223, 4038, 4227, 13, 2468, 1176, 433, 574, 2555, 358, 13061, 709, 1475, 3131, 304, 264, 1418, 311, 990, 389, 13, 358, 6244, 2216, 12673, 311, 279, 3446, 323, 279, 5885, 323, 358, 1766, 7182, 19762, 311, 3350, 810, 323, 810, 13, 94965, 279, 842, 11, 358, 574, 4477, 304, 30335, 6596, 50699, 627, 3923, 574, 279, 1455, 5107, 961, 922, 4477, 578, 44956, 5380, 791, 1455, 5107, 961, 574, 9455, 279, 892, 311, 3350, 13, 28232, 3070, 323, 2978, 11, 433, 649, 636, 264, 2766, 91425, 627, 27125, 1070, 2555, 3230, 30529, 13, 4623, 11, 6237, 11, 3752, 430, 3940, 279, 11775, 5380, 14326, 6848, 2477, 1139, 856, 2010, 682, 279, 892, 779, 358, 6920, 264, 539, 70641, 323, 5869, 304, 856, 53101, 449, 757, 13, 358, 1456, 311, 3350, 1124, 1523, 323, 1243, 733, 1203, 311, 1124, 3010, 13, 578, 4623, 369, 578, 44956, 16075, 449, 757, 323, 433, 574, 279, 4623, 358, 8774, 2133, 1203, 311, 627, 8607, 12283, 3350, 1148, 814, 1440, 323, 872, 11704, 13, 3639, 1051, 701, 1866, 11704, 499, 3779, 311, 279, 11775, 5380, 40, 1781, 76479, 11321, 1093, 1364, 706, 779, 1790, 12014, 389, 1077, 28004, 430, 1364, 14035, 433, 2653, 311, 1505, 892, 369, 11937, 311, 7216, 704, 1148, 1364, 6944, 13, 358, 649, 29243, 311, 430, 8430, 315, 1694, 43206, 520, 3115, 627, 5519, 499, 3596, 636, 69763, 922, 54108, 1057, 1917, 690, 387, 1093, 76479, 596, 5380, 2688, 69763, 719, 1070, 753, 2744, 430, 3463, 304, 279, 1203, 315, 856, 2010, 315, 1148, 422, 30, 1102, 753, 2744, 11190, 311, 13085, 1148, 3169, 315, 1917, 584, 1053, 3974, 304, 422, 1521, 2574, 3604, 7077, 13, 358, 1781, 433, 11621, 311, 279, 69871, 315, 279, 3446, 627, 2746, 499, 1051, 304, 76479, 596, 15653, 11, 1053, 499, 990, 520, 279, 6898, 822, 331, 5955, 477, 1505, 1023, 5627, 311, 1304, 264, 5496, 5380, 791, 2683, 520, 279, 6898, 822, 331, 19487, 779, 1790, 3987, 369, 76479, 779, 358, 1440, 358, 1053, 617, 2884, 279, 1890, 323, 4529, 279, 2683, 13, 3277, 499, 3207, 430, 28495, 311, 1935, 2512, 315, 701, 10456, 6305, 1694, 21816, 4536, 1431, 459, 3072, 323, 76479, 16365, 430, 627, 3923, 649, 499, 3371, 603, 922, 279, 2132, 47644, 5380, 40, 4344, 1633, 12304, 922, 433, 0, 2684, 527, 2133, 311, 387, 502, 5885, 11784, 323, 584, 4805, 1518, 76479, 733, 1555, 264, 2466, 18475, 13, 1102, 753, 2133, 311, 387, 7185, 311, 1518, 1268, 1364, 13777, 279, 82715, 8838, 48260, 1364, 753, 1766, 11937, 304, 323, 1268, 3117, 1364, 3358, 4585, 11937, 323, 279, 1274, 2212, 1077, 13, 362, 2478, 14599, 24511, 527, 43522, 430, 690, 16805, 810, 922, 279, 5885, 323, 872, 6439, 1603, 279, 6898, 822, 331, 627, 5519, 499, 617, 904, 9650, 369, 16483, 430, 527, 5131, 3318, 389, 872, 11775, 5380, 4427, 2919, 11, 279, 4339, 2586, 51513, 704, 1418, 1023, 2919, 358, 46943, 520, 279, 6500, 4264, 323, 1981, 42312, 13, 24838, 374, 264, 29551, 1030, 2352, 12141, 323, 358, 1781, 279, 5133, 1990, 459, 3229, 323, 264, 11775, 374, 3021, 2902, 349, 13, 4557, 439, 1790, 439, 499, 649, 11, 3350, 439, 1790, 439, 499, 649, 11, 323, 4510, 499, 649, 3371, 264, 1695, 3446, 627, 32, 5743, 315, 5672, 4227, 358, 1373, 279, 1176, 11775, 315, 578, 62831, 315, 56988, 37190, 4101, 13, 54451, 574, 17339, 11, 279, 5885, 2216, 14980, 704, 311, 757, 11, 719, 358, 3287, 956, 3021, 279, 4459, 4623, 315, 279, 62831, 13, 36007, 519, 374, 279, 4948, 47644, 315, 279, 4101, 11, 323, 358, 4265, 2103, 2019, 279, 1890, 3245, 422, 358, 574, 11890, 4423, 922, 420, 4101, 13, 358, 3021, 682, 279, 7872, 323, 279, 16682, 2136, 315, 682, 279, 5885, 11, 719, 279, 4459, 469, 844, 13, 1093, 1274, 1120, 3287, 956, 1304, 5647, 11, 369, 757, 63445, 627, 791, 7314, 315, 279, 11775, 11, 1093, 279, 1176, 11775, 304, 279, 4101, 8638, 704, 304, 264, 1917, 1405, 584, 1518, 4395, 279, 1925, 3752, 706, 3596, 11704, 323, 9731, 389, 311, 872, 7926, 2324, 13, 5112, 2555, 60883, 13980, 11, 902, 10800, 279, 4459, 50739, 3446, 1139, 264, 35509, 832, 11, 304, 856, 9647, 627, 40, 50863, 362, 1345, 13, 473, 867, 51515, 369, 1077, 28697, 323, 42365, 562, 311, 617, 2555, 304, 264, 11775, 430, 374, 264, 26422, 8712, 11, 902, 1455, 1053, 1093, 311, 636, 9463, 315, 719, 1541, 956, 1390, 311, 3137, 922, 13, 1442, 430, 1903, 5647, 13, 358, 3021, 1268, 362, 1345, 13, 473, 867, 51515, 3727, 1077, 5885, 26569, 323, 872, 1866, 11, 832, 315, 264, 3169, 13, 578, 1648, 1364, 11031, 264, 3446, 3235, 2216, 374, 2555, 430, 358, 6562, 358, 1436, 656, 13, 5112, 1070, 527, 3115, 994, 358, 4265, 1781, 358, 1288, 387, 31299, 11, 994, 358, 2846, 539, 304, 8903, 13, 1102, 596, 1120, 279, 6742, 304, 856, 2010, 374, 293, 675, 2785, 1077, 6548, 704, 323, 7231, 856, 4851, 704, 311, 1521, 5885, 11, 5423, 6186, 13, 549, 876, 0, 358, 649, 956, 1212, 311, 4510, 1268, 362, 1345, 13, 473, 867, 51515, 6267, 1778, 264, 11102, 1925, 3752, 2085, 15061, 1523, 505, 682, 315, 1077, 96322, 13, 358, 1101, 3021, 1268, 1364, 41802, 279, 23546, 315, 279, 330, 8115, 729, 1, 304, 420, 11775, 13, 1102, 596, 5115, 7185, 1268, 420, 374, 279, 4948, 47644, 315, 264, 4101, 11, 719, 649, 387, 1373, 29235, 627, 4516, 837, 11, 11112, 837, 627, 2028, 12929, 3727, 757, 12835, 323, 16106, 520, 279, 1890, 892, 627, 2181, 596, 7159, 0, 3639, 527, 499, 5403, 30, 42285, 374, 3940, 555, 2363, 30362, 3520, 627, 40, 3940, 5403, 36007, 519, 369, 264, 5117, 7364, 5108, 709, 11, 323, 279, 3477, 690, 387, 709, 389, 7950, 449, 264, 2216, 8056, 61064, 4999, 40, 1047, 22690, 435, 6015, 461, 25105, 264, 5743, 315, 5672, 4227, 11, 323, 3463, 430, 433, 1053, 387, 5128, 4228, 323, 2523, 311, 1304, 264, 27889, 369, 279, 11775, 13, 8489, 11, 8334, 574, 358, 5076, 13, 358, 1047, 779, 1790, 12544, 323, 12153, 311, 1781, 477, 1505, 904, 5609, 430, 14980, 704, 311, 23606, 264, 6237, 477, 264, 3752, 13, 358, 1193, 617, 1403, 11936, 430, 358, 4265, 1093, 311, 4430, 1606, 433, 596, 2731, 1109, 539, 11821, 520, 682, 13, 5321, 422, 499, 617, 904, 5609, 430, 2216, 14980, 704, 994, 499, 1373, 435, 6015, 461, 25105, 555, 88354, 21393, 11605, 4587, 5387, 264, 4068, 3770, 13, 358, 690, 1101, 2723, 279, 3477, 358, 6267, 369, 279, 11775, 1618, 627, 2028, 374, 1120, 459, 63615, 8579, 323, 10437, 5609, 430, 7437, 279, 20247, 315, 279, 11775, 627, 47016, 358, 2846, 5675, 11, 11102, 1523, 279, 6278, 315, 856, 4851, 702, 791, 32285, 20995, 574, 539, 1148, 358, 3685, 433, 311, 387, 11, 323, 358, 2846, 539, 2771, 1268, 1790, 358, 1093, 433, 13, 2684, 527, 1690, 2574, 430, 358, 3021, 922, 279, 11775, 13, 1789, 3187, 11, 279, 4459, 1203, 3446, 315, 67188, 323, 1268, 4395, 3940, 449, 15387, 323, 32460, 13, 4800, 11, 358, 2846, 539, 16879, 477, 10597, 520, 682, 11, 323, 358, 1541, 956, 4059, 5606, 596, 13901, 13, 2100, 358, 6612, 430, 74813, 480, 8110, 285, 1550, 264, 2294, 2683, 389, 430, 961, 1606, 1063, 12283, 649, 3350, 2288, 1790, 13901, 369, 856, 12945, 1606, 358, 1541, 956, 4510, 304, 1063, 315, 279, 2574, 430, 358, 2567, 5403, 505, 264, 10597, 2363, 11, 433, 649, 387, 2653, 311, 1093, 279, 11775, 13, 5112, 1070, 527, 1794, 774, 826, 430, 358, 2846, 539, 2771, 422, 358, 1093, 477, 48969, 13, 1789, 2937, 11, 279, 42865, 3070, 13, 578, 37783, 527, 1633, 7795, 88, 11, 3734, 2947, 385, 13, 358, 15262, 1077, 505, 279, 7314, 11, 719, 539, 682, 315, 1124, 13, 358, 22843, 264, 18027, 269, 304, 279, 3130, 627, 40, 1505, 433, 430, 2533, 584, 3974, 304, 1778, 264, 2035, 1405, 3772, 374, 15320, 1529, 3329, 5196, 520, 603, 11, 1070, 527, 1690, 5906, 13800, 811, 13, 358, 16102, 3021, 17637, 323, 358, 3021, 311, 4430, 1124, 311, 1274, 11, 323, 6958, 704, 264, 2307, 993, 3168, 88, 12929, 520, 1120, 279, 1314, 4545, 13, 320, 23956, 3250, 956, 3621, 3629, 11, 358, 2846, 3318, 389, 433, 8, 2100, 358, 617, 6773, 311, 1304, 264, 42285, 369, 17637, 13, 7357, 8079, 505, 1457, 389, 11, 23127, 13, 2052, 499, 617, 311, 656, 374, 4430, 264, 12929, 477, 1690, 17637, 499, 617, 3463, 315, 11, 1373, 11, 477, 6755, 315, 304, 430, 7138, 627, 8161, 956, 25552, 2206, 4536, 956, 2133, 311, 11913, 3885, 422, 814, 3194, 12929, 11, 1606, 27136, 584, 482, 422, 499, 527, 264, 3823, 482, 527, 2744, 3339, 21294, 13, 2100, 358, 1505, 7182, 2744, 5605, 1359, 4418, 956, 12929, 757, 389, 430, 1210, 1442, 499, 4265, 1093, 311, 5249, 757, 4587, 656, 13, 1442, 499, 617, 904, 4860, 4587, 2613, 757, 520, 1393, 91, 37004, 20739, 8651, 91, 578, 44956, 374, 459, 7185, 2363, 430, 358, 6773, 311, 1373, 1606, 433, 5097, 2035, 304, 264, 69110, 48748, 1917, 1405, 1070, 1047, 459, 42620, 430, 49266, 704, 682, 279, 12966, 13, 5112, 4131, 3235, 264, 502, 3109, 1405, 499, 527, 21682, 555, 902, 26741, 499, 48383, 304, 13, 578, 3117, 61943, 26741, 499, 527, 505, 5629, 4409, 279, 2753, 323, 2753, 2410, 279, 3109, 706, 2585, 315, 499, 323, 422, 814, 1524, 2512, 520, 682, 13, 578, 44956, 374, 922, 264, 1912, 315, 17510, 3278, 889, 527, 20895, 2391, 264, 892, 1405, 433, 596, 1633, 9024, 11, 323, 31299, 24869, 1053, 23935, 264, 4459, 26741, 13, 2100, 1243, 4131, 3235, 76479, 1611, 36518, 323, 1364, 14035, 264, 2683, 3318, 369, 279, 3109, 902, 1364, 8964, 374, 22681, 11, 719, 994, 1077, 63463, 7126, 596, 2343, 50483, 527, 5108, 304, 9333, 323, 5129, 15055, 315, 892, 1364, 706, 311, 3041, 1794, 774, 826, 709, 311, 3974, 13, 76479, 9221, 264, 29198, 369, 832, 315, 279, 44956, 323, 53159, 2574, 1364, 13434, 956, 994, 76479, 374, 304, 279, 35612, 627, 40, 2216, 15262, 420, 4623, 994, 358, 1176, 1373, 279, 12399, 1606, 433, 574, 2204, 505, 682, 279, 1023, 69110, 48748, 6603, 430, 527, 704, 1070, 13, 81156, 3341, 9700, 4458, 596, 4477, 574, 1633, 4382, 11, 719, 1148, 358, 2216, 10456, 922, 279, 11775, 374, 1606, 1364, 13912, 264, 1695, 18338, 323, 3727, 757, 387, 389, 279, 6964, 315, 856, 10954, 11, 15320, 13, 358, 1101, 3021, 1268, 1364, 5918, 709, 279, 1917, 13, 20636, 3738, 2574, 430, 2873, 69782, 311, 603, 11, 2733, 1093, 459, 20167, 311, 279, 1274, 304, 420, 1917, 13, 358, 1781, 11, 20426, 1455, 69110, 48748, 32963, 1070, 4536, 956, 1790, 5557, 50925, 304, 578, 44956, 13, 763, 856, 4059, 994, 358, 1781, 315, 279, 78251, 430, 1274, 3974, 304, 1023, 1109, 220, 23, 11, 358, 1781, 315, 264, 20457, 6424, 11, 477, 264, 1633, 65531, 21643, 6424, 13, 358, 2103, 1148, 311, 1440, 1148, 5629, 4409, 323, 26741, 220, 23, 2216, 1427, 1093, 627, 39, 69426, 1611, 36518, 374, 279, 8954, 46684, 323, 1364, 706, 1063, 8334, 5435, 24059, 1690, 3885, 13, 358, 1436, 1120, 2733, 279, 3021, 22217, 439, 5246, 439, 51075, 3782, 1139, 279, 11775, 13, 426, 15930, 358, 2846, 389, 2128, 51075, 11, 422, 1070, 374, 264, 2128, 13, 358, 16102, 1541, 956, 1093, 445, 26261, 13, 3092, 1176, 21455, 315, 1461, 574, 11, 330, 1548, 596, 2133, 311, 34568, 1124, 1210, 3011, 574, 264, 1633, 25984, 3245, 311, 9855, 11, 719, 27136, 358, 9167, 956, 82830, 709, 311, 1461, 323, 505, 279, 5992, 315, 1405, 2574, 2133, 358, 2733, 1093, 568, 596, 2133, 311, 387, 279, 832, 13, 2684, 1051, 1063, 5885, 430, 358, 617, 264, 2763, 315, 10082, 304, 13, 1789, 3187, 11, 4072, 10994, 44125, 832, 315, 279, 44956, 8884, 76479, 37465, 6957, 1077, 20209, 13, 4072, 10994, 311, 757, 374, 264, 1633, 3831, 3752, 323, 358, 1781, 422, 1364, 5828, 956, 20895, 323, 1364, 1047, 2500, 3560, 304, 279, 11775, 1364, 4265, 10536, 31056, 13, 578, 330, 14176, 7752, 1, 3287, 956, 44030, 757, 27136, 13, 2435, 3287, 956, 1304, 757, 1781, 11, 330, 11649, 11, 420, 374, 2133, 311, 387, 1633, 1633, 3958, 1359, 477, 2555, 3235, 1884, 5238, 13, 7566, 11, 1070, 527, 1794, 774, 826, 430, 527, 3169, 315, 66427, 430, 527, 40444, 11, 719, 358, 1541, 956, 1518, 3249, 814, 527, 3815, 279, 2574, 430, 814, 527, 13, 578, 3109, 374, 1633, 84099, 323, 358, 2216, 1390, 311, 1440, 1148, 814, 527, 2133, 311, 656, 449, 279, 24869, 315, 279, 44956, 1606, 433, 5084, 1093, 2555, 2466, 374, 2133, 311, 12446, 627, 791, 44956, 369, 757, 11, 574, 264, 1633, 4062, 7474, 1373, 323, 422, 358, 1047, 892, 4762, 1436, 6381, 304, 264, 1938, 477, 1063, 4207, 13, 578, 11775, 706, 264, 1633, 5043, 18338, 11, 323, 279, 51331, 4536, 956, 2288, 12178, 430, 358, 2846, 15320, 20910, 323, 1938, 57291, 287, 922, 279, 78251, 323, 279, 14016, 627, 40, 2733, 1093, 420, 3460, 315, 3446, 1436, 3621, 304, 1063, 1648, 13, 358, 1541, 956, 1440, 1268, 323, 3249, 11, 719, 1070, 5084, 311, 387, 264, 8206, 304, 433, 13, 358, 2216, 3021, 1268, 81156, 3341, 9700, 4458, 3287, 956, 8104, 33394, 3201, 505, 653, 698, 4522, 2574, 1606, 430, 596, 1268, 279, 1917, 430, 76479, 6439, 304, 374, 13, 11208, 279, 4379, 1541, 956, 2512, 11, 323, 279, 17944, 14971, 527, 17277, 627, 40, 1097, 264, 39284, 315, 8254, 8945, 7795, 627, 40, 649, 1514, 279, 15012, 1130, 273, 11, 27374, 11, 323, 17418, 627, 40, 1097, 57596, 311, 1274, 889, 12491, 4395, 627, 46237, 358, 574, 25559, 555, 279, 11364, 24150, 19412, 519, 21446, 311, 3477, 813, 11775, 18589, 261, 596, 9240, 13, 358, 574, 2728, 279, 6776, 311, 1101, 7274, 1461, 323, 1618, 527, 1063, 1229, 5, 2170, 922, 1461, 323, 813, 24519, 11775, 627, 4599, 1550, 499, 1212, 4477, 18589, 261, 596, 9240, 5380, 41348, 261, 596, 9240, 574, 5439, 1990, 5936, 220, 1049, 20, 323, 6186, 220, 1049, 21, 627, 3923, 3169, 315, 3495, 1550, 499, 617, 311, 656, 369, 279, 11775, 5380, 40, 1550, 617, 311, 656, 1063, 3495, 389, 38201, 69756, 369, 279, 49784, 8668, 323, 40696, 13, 358, 3604, 6267, 430, 3857, 2391, 279, 69756, 65396, 11, 902, 1903, 279, 3495, 1790, 8831, 13, 358, 1101, 1047, 311, 3495, 1063, 922, 31319, 96764, 3925, 320, 4636, 1455, 315, 433, 358, 2736, 7020, 11, 433, 574, 810, 264, 5030, 315, 836, 13598, 705, 323, 279, 4689, 6932, 315, 22898, 13, 578, 3495, 5828, 956, 5423, 16595, 1606, 279, 3446, 5097, 2035, 304, 264, 3460, 315, 25631, 15861, 11, 779, 358, 1436, 1514, 2212, 449, 13363, 323, 3925, 13, 1789, 2937, 11, 279, 23768, 37533, 7351, 323, 279, 20320, 1912, 12538, 34392, 527, 6724, 1903, 709, 11, 8051, 814, 617, 1063, 8197, 304, 1972, 19567, 13, 7429, 11, 279, 16779, 315, 3331, 36303, 323, 11097, 47643, 708, 47142, 12252, 527, 1101, 44682, 1534, 11, 8051, 279, 6160, 67245, 315, 1884, 1403, 3026, 527, 35901, 13687, 627, 40, 3940, 4477, 994, 358, 574, 220, 23, 1667, 2362, 11, 323, 2744, 10456, 433, 11, 719, 358, 1047, 1027, 3815, 34596, 2533, 358, 574, 4848, 323, 3156, 856, 3389, 27294, 358, 15871, 6267, 11335, 323, 1940, 1220, 13, 358, 3463, 358, 574, 2133, 311, 387, 459, 12360, 3156, 2212, 279, 892, 358, 3940, 4477, 18589, 261, 596, 9240, 430, 358, 6773, 430, 4477, 1053, 387, 856, 1925, 5357, 13, 2030, 358, 574, 2744, 4477, 11, 15851, 315, 1148, 955, 627, 3957, 1070, 904, 4040, 3752, 430, 499, 29243, 449, 279, 1455, 5380, 58834, 11, 568, 374, 3460, 315, 856, 11857, 12, 13546, 13, 358, 6267, 279, 2363, 994, 358, 574, 220, 508, 323, 220, 1691, 11, 323, 568, 27053, 264, 2763, 315, 279, 5419, 28970, 358, 1047, 520, 279, 892, 13, 358, 574, 2646, 264, 42734, 39326, 11, 719, 279, 80096, 323, 6138, 568, 11321, 9017, 813, 3070, 323, 1063, 315, 813, 53808, 33726, 9017, 3278, 358, 6222, 520, 279, 892, 13, 18242, 279, 2363, 1457, 358, 3460, 315, 1589, 18177, 520, 813, 7865, 11, 1606, 1202, 264, 22599, 315, 1063, 315, 279, 11201, 13878, 315, 7182, 627, 3923, 656, 499, 1390, 701, 13016, 311, 636, 505, 5403, 18589, 261, 596, 9240, 5380, 40, 3987, 279, 2363, 70390, 48451, 13, 3861, 3245, 420, 3224, 374, 32161, 810, 323, 810, 374, 48451, 369, 1884, 889, 649, 956, 10477, 872, 16066, 13, 1226, 527, 264, 7140, 430, 559, 552, 3201, 505, 16066, 11, 505, 55689, 23948, 13, 1226, 733, 704, 315, 1057, 1648, 311, 7916, 1274, 709, 311, 10477, 6784, 323, 8060, 11, 323, 994, 814, 649, 956, 10477, 433, 11, 584, 559, 359, 1124, 13, 13440, 1202, 18710, 11, 27471, 11, 19542, 11, 477, 1524, 1120, 53237, 13, 358, 6227, 5496, 304, 20005, 1306, 69756, 11, 323, 4376, 279, 22475, 1405, 1070, 11, 323, 279, 2574, 358, 4265, 6865, 505, 1274, 922, 279, 22475, 574, 17936, 323, 52583, 13, 220, 4314, 1274, 1047, 26968, 264, 837, 31926, 11, 323, 2751, 4400, 719, 1344, 587, 304, 471, 13, 578, 8009, 304, 420, 3224, 527, 3629, 3970, 439, 16053, 477, 23460, 76488, 11, 4856, 1109, 20558, 7931, 889, 617, 1903, 832, 16930, 2288, 1690, 13, 578, 1890, 449, 78574, 11, 4619, 315, 1694, 12020, 439, 3823, 23837, 814, 527, 3970, 439, 64074, 13, 578, 1972, 5435, 374, 430, 1690, 1274, 1541, 956, 1390, 311, 4287, 430, 584, 682, 14993, 11, 323, 279, 6305, 889, 14993, 1455, 1205, 279, 1455, 1862, 13, 358, 3987, 856, 2363, 3727, 1521, 1274, 5101, 1972, 11, 9959, 11, 323, 28390, 315, 5201, 323, 3823, 38929, 627, 3923, 574, 279, 1455, 5107, 961, 315, 4477, 18589, 261, 596, 9240, 5380, 70957, 856, 1866, 24087, 315, 7645, 11, 8104, 449, 279, 5054, 3769, 13, 3277, 358, 1176, 6267, 433, 358, 5828, 956, 16913, 922, 11821, 856, 11939, 369, 31319, 96764, 24589, 11, 8104, 2533, 856, 3070, 7784, 956, 15879, 13, 358, 15243, 2212, 279, 3917, 264, 2763, 304, 4216, 64692, 11, 323, 3460, 315, 1903, 264, 6671, 449, 279, 23768, 37533, 7351, 430, 3287, 956, 25920, 9678, 27771, 304, 279, 1888, 3177, 11, 1120, 311, 1304, 757, 2873, 9049, 12031, 9017, 279, 7351, 13, 2030, 439, 358, 2751, 9191, 323, 810, 16913, 304, 856, 21463, 11, 279, 64692, 315, 279, 6603, 3940, 12967, 704, 810, 315, 430, 31319, 96764, 22519, 323, 279, 1984, 430, 47995, 1057, 7829, 323, 4737, 22519, 304, 433, 374, 315, 54711, 12939, 6244, 49479, 13, 3161, 279, 2363, 704, 1070, 358, 3358, 1518, 1268, 1274, 6013, 11, 779, 3117, 433, 706, 1027, 6928, 323, 358, 9167, 956, 17454, 1344, 587, 369, 279, 5054, 3769, 11, 719, 358, 2103, 617, 1063, 23418, 2136, 922, 433, 13, 578, 3769, 389, 18710, 574, 1101, 5107, 1606, 430, 706, 1027, 264, 3575, 430, 706, 11754, 7182, 323, 856, 3070, 369, 3892, 1667, 11, 323, 279, 3917, 374, 2103, 4856, 26175, 311, 13488, 13, 1398, 8478, 856, 21463, 323, 856, 28970, 311, 279, 13112, 430, 358, 656, 706, 2728, 757, 264, 3021, 7682, 349, 5133, 449, 279, 2363, 627, 5159, 5117, 8604, 4721, 261, 675, 32929, 46389, 916, 1405, 499, 649, 1505, 23691, 389, 18589, 261, 596, 9240, 323, 10631, 389, 4477, 11, 46209, 16039, 11, 323, 279, 23763, 5064, 627, 2675, 649, 1817, 704, 8604, 13, 4201, 4890, 2600, 287, 916, 11, 264, 502, 9678, 3577, 58394, 304, 22772, 17649, 13, 358, 1097, 12865, 304, 14681, 520, 362, 625, 437, 323, 358, 1097, 2744, 3411, 369, 12283, 323, 29846, 627, 2675, 649, 1101, 1427, 709, 279, 18589, 261, 596, 9240, 1912, 389, 5690, 916, 902, 706, 9013, 323, 3630, 389, 279, 2363, 627, 32999, 279, 18589, 261, 596, 9240, 574, 264, 1176, 389, 1690, 5990, 13, 1102, 574, 279, 1176, 13970, 93850, 32360, 6822, 17422, 358, 3077, 3596, 1373, 11, 323, 433, 596, 264, 1176, 430, 358, 2846, 3025, 311, 7274, 279, 3229, 24150, 19412, 519, 21446, 922, 279, 2363, 13, 358, 617, 311, 2019, 430, 358, 574, 1633, 44929, 922, 420, 11775, 13, 358, 6118, 2646, 1373, 6822, 17422, 11, 719, 358, 574, 10032, 311, 1456, 1606, 499, 1193, 3974, 3131, 11, 1314, 5380, 40, 3021, 279, 21976, 304, 279, 11775, 13, 3011, 574, 1120, 59045, 1285, 311, 757, 11, 1524, 3582, 1148, 814, 1071, 5828, 956, 8104, 59045, 1285, 13, 358, 3021, 1268, 568, 1071, 433, 1268, 433, 374, 13, 3011, 574, 17235, 37018, 13, 358, 1101, 3021, 1268, 4395, 8599, 682, 3871, 13, 358, 574, 520, 1176, 20558, 449, 682, 279, 8381, 28678, 323, 1486, 315, 6325, 1694, 30975, 2212, 11, 719, 430, 1903, 433, 6366, 311, 757, 13, 358, 3021, 24150, 19412, 519, 21446, 596, 1742, 315, 4477, 13, 1283, 706, 264, 1633, 5933, 1648, 315, 11890, 264, 3446, 779, 430, 574, 24729, 311, 1373, 627, 38589, 0, 8840, 856, 38031, 11, 1521, 5885, 1051, 779, 2324, 1093, 358, 3463, 358, 574, 5403, 264, 48345, 13, 358, 10456, 682, 315, 279, 5885, 323, 1695, 323, 3958, 11, 323, 814, 1051, 1120, 779, 7185, 323, 872, 7493, 1051, 32719, 3309, 13, 358, 1541, 956, 1781, 358, 3077, 3596, 6612, 810, 48451, 369, 264, 44682, 3752, 304, 856, 2324, 13, 358, 1541, 956, 1440, 1268, 24150, 19412, 519, 21446, 1550, 433, 11, 477, 7344, 6822, 17422, 1120, 706, 2731, 16483, 719, 358, 98663, 1935, 682, 315, 279, 3752, 311, 4851, 13, 358, 1781, 856, 7075, 3752, 374, 49720, 28316, 1606, 568, 1120, 16008, 2574, 22009, 311, 757, 13, 1283, 596, 279, 2362, 7564, 430, 499, 1440, 706, 810, 1109, 264, 19569, 315, 7493, 323, 499, 2733, 1093, 264, 2697, 10585, 14624, 311, 682, 279, 37565, 568, 10975, 627, 59431, 820, 17326, 320, 91808, 8, 374, 264, 17118, 3778, 902, 499, 649, 3371, 505, 279, 2316, 315, 279, 2363, 13, 2052, 813, 2324, 568, 706, 12439, 449, 264, 8271, 19823, 13, 4800, 439, 568, 4131, 1139, 813, 41317, 1060, 315, 1579, 2978, 568, 28727, 311, 733, 311, 279, 4251, 1579, 2978, 304, 279, 8961, 6424, 927, 13, 1115, 2643, 539, 2873, 1790, 11, 520, 3432, 596, 10886, 719, 311, 813, 34671, 9564, 279, 34671, 369, 2500, 2978, 374, 1093, 42823, 389, 499, 2351, 1866, 3169, 13, 5046, 3388, 11, 420, 5353, 1203, 98381, 505, 813, 3070, 323, 4885, 520, 279, 28767, 13, 2030, 439, 568, 34512, 988, 813, 2324, 1990, 279, 28767, 323, 279, 4251, 8961, 6424, 1579, 2978, 11, 568, 16008, 323, 13919, 2574, 568, 1436, 387, 11, 1790, 11493, 1109, 279, 6439, 520, 279, 28767, 1405, 5127, 374, 6118, 29850, 627, 40, 3077, 2751, 9709, 11555, 922, 420, 2363, 13, 1102, 374, 8056, 520, 279, 7872, 323, 279, 16924, 8331, 11, 719, 1070, 596, 2555, 922, 433, 430, 499, 1781, 1359, 1115, 3445, 264, 2763, 810, 19662, 1109, 433, 8111, 1210, 2876, 430, 358, 1541, 956, 3619, 420, 2363, 11, 719, 420, 11775, 374, 5115, 264, 5655, 2363, 422, 499, 1464, 433, 1523, 323, 1781, 922, 433, 13, 1102, 5828, 956, 3958, 824, 513, 11, 719, 1095, 596, 2019, 304, 391, 25264, 520, 1063, 5596, 11, 779, 1790, 430, 358, 1047, 311, 10936, 264, 2478, 6959, 13, 2030, 358, 1101, 1781, 430, 3515, 430, 374, 264, 2294, 961, 1606, 433, 5039, 279, 10973, 837, 961 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 4094, 4095 ]
4,096
[ 315, 279, 11775, 11, 323, 358, 1781, 52983, 8683, 648, 2216, 75974, 433, 627, 68359, 1543, 8683, 648, 374, 459, 8056, 3229, 358, 617, 311, 48466, 13, 1283, 14238, 1690, 17118, 3778, 32963, 369, 12884, 323, 420, 374, 813, 1176, 3995, 6822, 2363, 11, 323, 358, 617, 311, 2019, 568, 596, 2884, 459, 8056, 2683, 13, 5414, 1742, 315, 4477, 374, 1148, 2216, 15107, 757, 304, 323, 1903, 757, 1390, 311, 1373, 13, 5414, 95471, 7899, 430, 568, 6267, 505, 44312, 596, 1486, 315, 1684, 574, 3596, 37018, 323, 3287, 956, 2873, 86125, 477, 29859, 304, 279, 21976, 439, 1063, 12283, 649, 1304, 433, 387, 13, 2876, 2771, 422, 358, 1390, 311, 1817, 704, 904, 1023, 11775, 596, 568, 5439, 11, 719, 27461, 14333, 813, 4477, 7512, 29817, 627, 791, 94465, 315, 420, 11775, 374, 47685, 1789, 3520, 323, 1364, 1550, 459, 8056, 2683, 439, 60794, 323, 14268, 56941, 279, 11775, 449, 279, 38940, 430, 44312, 11705, 304, 279, 2363, 13, 6385, 5647, 315, 28485, 323, 358, 2846, 47576, 430, 1364, 1101, 6575, 449, 52983, 8683, 648, 374, 6273, 422, 539, 810, 1109, 12835, 704, 17813, 4367, 13, 6385, 1742, 315, 13633, 574, 264, 502, 1648, 430, 358, 3077, 3596, 3970, 323, 433, 574, 539, 520, 682, 44461, 304, 264, 1648, 279, 5084, 1093, 264, 6721, 24465, 433, 11, 477, 311, 41630, 264, 8945, 287, 430, 433, 7111, 1093, 264, 3169, 261, 2427, 569, 804, 24465, 627, 8538, 1401, 3585, 358, 617, 311, 733, 927, 374, 279, 26569, 323, 18884, 1093, 279, 11775, 6688, 1022, 439, 358, 1373, 3235, 13, 2684, 574, 264, 892, 994, 358, 6612, 1093, 420, 3446, 574, 11112, 837, 323, 1070, 1051, 3115, 1405, 358, 3463, 1359, 86819, 430, 1550, 539, 3621, 13, 3053, 956, 387, 12765, 1210, 2100, 433, 574, 6273, 304, 264, 1648, 13, 1666, 1690, 5885, 14264, 323, 14918, 44312, 358, 6612, 1093, 358, 574, 7982, 449, 1124, 323, 433, 5828, 956, 1120, 459, 927, 3814, 2349, 315, 11429, 1606, 584, 682, 1440, 430, 649, 956, 11000, 3621, 13, 1102, 596, 1093, 5605, 358, 2846, 2133, 311, 1212, 2133, 311, 279, 19343, 1475, 1938, 369, 459, 6596, 6041, 3432, 13, 2360, 1648, 433, 649, 956, 3621, 323, 358, 2846, 16089, 433, 3287, 956, 3621, 304, 279, 11775, 13, 7429, 4648, 11, 6908, 961, 304, 279, 11775, 11, 902, 374, 539, 264, 6908, 73306, 11, 719, 499, 617, 311, 3619, 4648, 374, 459, 18254, 3245, 430, 13980, 682, 927, 279, 1917, 323, 358, 3287, 956, 2733, 1093, 433, 4295, 2162, 2653, 13, 2684, 574, 279, 8019, 70, 2136, 430, 358, 6612, 994, 264, 3752, 5946, 3201, 11, 719, 499, 617, 264, 8430, 430, 4400, 304, 44312, 596, 2324, 374, 4725, 13, 362, 7075, 961, 315, 420, 11775, 574, 994, 44312, 5415, 430, 568, 649, 956, 1797, 1268, 1690, 2523, 17822, 568, 596, 1027, 11, 994, 279, 6980, 520, 1050, 8506, 7, 5902, 10585, 2978, 8, 649, 1797, 389, 832, 1450, 13, 1102, 2216, 23268, 757, 323, 358, 649, 311, 459, 13112, 3619, 11, 719, 1606, 358, 3077, 2646, 3967, 5606, 311, 2815, 1603, 433, 596, 9193, 5107, 311, 3619, 279, 58596, 323, 7554, 2136, 499, 2733, 439, 430, 1732, 11141, 627, 11649, 358, 1541, 956, 1781, 430, 358, 1205, 311, 1377, 73291, 389, 14926, 1109, 358, 3077, 2736, 1550, 11, 779, 358, 11813, 856, 9072, 311, 682, 315, 499, 430, 617, 1373, 578, 49981, 3082, 53125, 315, 264, 3744, 4212, 7904, 555, 52983, 8683, 648, 13, 358, 1053, 3021, 311, 6865, 701, 6170, 323, 25481, 311, 420, 2363, 13, 7429, 904, 2363, 19075, 4587, 2733, 1949, 323, 5387, 439, 264, 4068, 627, 11356, 6603, 387, 304, 279, 3938, 51447, 2170, 499, 1253, 8101, 11, 422, 499, 1833, 856, 5117, 430, 358, 6118, 1541, 956, 9396, 311, 420, 1160, 1193, 13, 358, 2643, 923, 264, 2363, 11, 477, 1935, 704, 264, 2363, 4245, 311, 892, 477, 20426, 12, 2968, 13, 358, 3987, 499, 3619, 323, 420, 374, 1120, 264, 73545, 369, 757, 323, 369, 499, 13, 3639, 6603, 527, 499, 2133, 311, 1373, 304, 3297, 5380, 40, 6051, 1766, 420, 389, 46400, 279, 1023, 1938, 323, 3463, 311, 7182, 1268, 11364, 279, 8753, 527, 449, 872, 4221, 13, 358, 1541, 956, 1440, 922, 499, 11, 719, 369, 757, 358, 3217, 420, 18254, 323, 433, 596, 430, 16682, 8430, 994, 499, 5387, 264, 10652, 7029, 1825, 304, 499, 4059, 323, 499, 2103, 617, 2574, 311, 2019, 13, 1115, 8741, 810, 1109, 7000, 323, 358, 1205, 311, 1456, 311, 2019, 1148, 596, 389, 856, 4059, 810, 11, 358, 1505, 7182, 927, 42118, 856, 11555, 430, 358, 1390, 311, 2019, 430, 358, 6724, 2349, 279, 3463, 682, 3871, 13, 1442, 420, 8430, 8741, 311, 499, 2288, 4587, 4068, 1523, 3770, 13, 358, 1120, 4934, 311, 4430, 311, 499, 420, 8753, 5605, 430, 279, 6498, 11240, 1288, 617, 13, 1102, 596, 27873, 430, 584, 1541, 956, 323, 358, 4510, 430, 872, 1288, 387, 2555, 1093, 433, 15038, 304, 279, 26275, 10685, 627, 2028, 12929, 3727, 856, 4851, 5266, 709, 323, 45743, 398, 57794, 3252, 430, 358, 3077, 2884, 4395, 779, 323, 3136, 311, 627, 3947, 596, 539, 1790, 311, 2019, 922, 420, 11, 719, 733, 1373, 279, 67636, 11871, 422, 499, 9167, 956, 2736, 4999, 4516, 8378, 13, 28468, 323, 704, 627, 5451, 11, 422, 499, 9167, 956, 34793, 311, 904, 80013, 8375, 318, 4988, 5609, 499, 1288, 13, 10657, 11, 1268, 389, 9420, 1550, 358, 539, 5406, 430, 627, 40, 574, 1633, 8173, 304, 264, 502, 1917, 311, 13488, 279, 3347, 2046, 323, 358, 1766, 420, 304, 459, 83179, 2068, 13, 43582, 445, 13, 77815, 374, 264, 17755, 3229, 430, 358, 1781, 584, 1288, 682, 2567, 459, 8071, 389, 13, 578, 3446, 568, 57622, 704, 369, 279, 6742, 374, 63615, 11944, 323, 1664, 3463, 704, 13, 16537, 6785, 374, 264, 21655, 311, 757, 315, 264, 5108, 315, 4325, 14, 442, 685, 3529, 599, 48748, 1093, 1917, 627, 2746, 1070, 374, 539, 3403, 2944, 430, 499, 1288, 636, 264, 15631, 323, 18404, 1664, 1618, 596, 2500, 2363, 13, 445, 2718, 430, 596, 1027, 279, 9327, 358, 3077, 1766, 13, 1789, 3187, 11, 435, 6015, 461, 25105, 555, 88354, 21393, 12565, 71, 942, 11, 578, 67636, 11871, 97313, 11, 323, 264, 2478, 5672, 4227, 358, 5602, 70308, 1376, 100223, 13, 2876, 430, 358, 1541, 956, 617, 4205, 2403, 82565, 323, 38057, 719, 358, 4934, 2555, 2204, 13, 10926, 2555, 502, 323, 86560, 315, 627, 36294, 299, 445, 13, 77815, 706, 279, 1455, 6366, 1648, 315, 11890, 264, 3446, 430, 46304, 757, 1418, 358, 574, 5403, 13, 18056, 813, 4477, 4536, 956, 10409, 449, 36505, 3339, 757, 312, 29906, 15320, 11, 433, 1047, 459, 2362, 892, 88, 2733, 13, 358, 6612, 1633, 53312, 1139, 420, 1917, 568, 3549, 323, 279, 5885, 430, 11096, 304, 13, 358, 1541, 956, 1440, 1268, 311, 2019, 420, 1606, 420, 374, 264, 1633, 34553, 3477, 369, 757, 311, 3350, 13, 358, 3021, 813, 4477, 11, 719, 279, 3446, 3287, 956, 1304, 757, 1390, 311, 1373, 810, 13, 358, 2216, 4934, 311, 1093, 420, 719, 358, 7846, 956, 13, 1102, 596, 539, 3958, 477, 4205, 11, 719, 358, 1120, 1436, 539, 733, 1139, 2500, 5108, 315, 4325, 3446, 13, 578, 17779, 374, 17235, 58973, 323, 358, 1550, 539, 2733, 1093, 4205, 574, 3361, 627, 4516, 358, 3077, 1027, 2064, 33298, 449, 5403, 31445, 323, 682, 279, 6603, 430, 358, 3077, 11021, 304, 279, 3347, 2478, 4038, 617, 1027, 389, 279, 28745, 323, 8748, 311, 387, 13061, 709, 1578, 3349, 13, 358, 1120, 4934, 311, 4430, 449, 379, 65948, 279, 6603, 323, 23127, 499, 649, 15253, 757, 1139, 5403, 1124, 1578, 477, 64042, 757, 13, 26213, 757, 389, 23068, 571, 100069, 548, 7819, 11, 2613, 757, 1393, 91, 37004, 20739, 8651, 91, 477, 4068, 3770, 4999, 40, 574, 1633, 25408, 555, 15037, 6518, 555, 19178, 7948, 34856, 323, 1097, 23069, 311, 1373, 279, 2132, 47644, 11, 779, 358, 4265, 1093, 311, 4430, 449, 379, 65948, 1063, 11936, 358, 3463, 5052, 279, 11775, 323, 279, 5885, 627, 77591, 65, 3751, 14496, 17768, 51721, 5380, 11649, 358, 617, 1027, 38213, 12387, 3115, 369, 279, 22213, 65, 3751, 17768, 323, 358, 9167, 956, 19089, 279, 45314, 4860, 1203, 369, 264, 1418, 13, 2057, 1817, 704, 279, 1176, 892, 358, 574, 38213, 4299, 1618, 627, 16, 13, 3639, 656, 499, 2567, 5403, 323, 2133, 1203, 311, 927, 323, 927, 1578, 5380, 2321, 2308, 395, 11559, 279, 4459, 52145, 4101, 627, 17, 13, 763, 2978, 1051, 14, 548, 499, 264, 48952, 18790, 1732, 11, 477, 1550, 499, 68514, 1373, 279, 2631, 5403, 5380, 32148, 44106, 18790, 422, 358, 1541, 956, 617, 892, 627, 18, 13, 3639, 775, 656, 499, 3021, 11, 28858, 6603, 5380, 19, 13, 3639, 596, 701, 7075, 2363, 96139, 5380, 20, 13, 3639, 2363, 1053, 499, 3021, 11, 810, 1109, 4205, 11, 311, 387, 3970, 6656, 1139, 264, 5818, 5380, 27247, 6518, 555, 19178, 7948, 34856, 11, 422, 814, 4822, 837, 311, 433, 627, 22, 13, 3234, 499, 1093, 311, 3350, 11, 439, 1664, 439, 11, 1373, 5380, 40, 3021, 311, 3350, 11, 4205, 11, 323, 4395, 627, 23, 13, 3639, 596, 279, 1176, 11775, 430, 499, 649, 6227, 5403, 5380, 2170, 358, 1373, 420, 358, 3169, 315, 7020, 1148, 358, 574, 3794, 1139, 13, 358, 3463, 358, 7020, 1148, 420, 574, 682, 922, 13, 4702, 1063, 4288, 1732, 4477, 922, 813, 35292, 323, 813, 83733, 323, 41367, 31710, 304, 1990, 13, 358, 2751, 1148, 358, 3463, 13, 358, 8434, 956, 2019, 1070, 574, 4205, 430, 2216, 14792, 757, 13, 358, 3021, 311, 5944, 323, 7170, 499, 649, 956, 323, 499, 3974, 1555, 4423, 775, 13, 3011, 574, 6555, 11, 719, 358, 1781, 682, 5944, 6603, 527, 1093, 430, 13, 5112, 1578, 11, 358, 13434, 956, 2019, 430, 1606, 420, 374, 279, 1176, 315, 358, 3987, 1690, 6603, 922, 21646, 627, 40, 3021, 1268, 15341, 86965, 569, 3287, 956, 1120, 2019, 813, 11704, 323, 1903, 430, 279, 1925, 5915, 13, 1102, 6612, 810, 1093, 459, 2362, 4333, 574, 11890, 499, 922, 813, 35292, 323, 7669, 287, 449, 499, 13, 1102, 574, 4228, 2133, 323, 4400, 2288, 6129, 323, 358, 1781, 420, 2363, 3782, 1120, 304, 892, 369, 757, 11, 994, 358, 574, 5403, 264, 2763, 315, 1317, 323, 1664, 3463, 704, 57216, 7234, 62990, 323, 358, 1120, 4460, 264, 4062, 7474, 1373, 627, 2170, 499, 1253, 1440, 505, 279, 1160, 315, 2363, 8544, 358, 617, 2884, 430, 358, 3021, 3995, 6822, 14, 1768, 276, 2553, 30363, 32963, 13, 1115, 374, 7041, 1148, 358, 3463, 358, 4934, 311, 636, 7182, 1139, 1306, 358, 8220, 15037, 6518, 555, 19178, 7948, 34856, 1606, 358, 1120, 3021, 279, 17779, 13, 358, 3287, 956, 1440, 3582, 430, 358, 4265, 2586, 704, 304, 264, 282, 10033, 323, 20910, 374, 420, 2216, 279, 3938, 315, 3995, 6822, 32963, 13, 358, 2846, 51975, 311, 2019, 430, 358, 1436, 539, 6381, 420, 2363, 1606, 433, 574, 1120, 2288, 50204, 311, 757, 13, 1102, 574, 1093, 10307, 10054, 30099, 11, 499, 7020, 7041, 1148, 574, 2133, 311, 3621, 627, 32, 1345, 13, 473, 867, 51515, 11, 358, 10456, 279, 5149, 304, 6968, 279, 56988, 37190, 37219, 323, 279, 4092, 6677, 315, 4395, 13, 358, 3021, 1268, 279, 3229, 3287, 956, 2216, 33394, 3201, 505, 4819, 430, 527, 304, 872, 1917, 837, 311, 11604, 304, 264, 1648, 323, 1268, 1364, 3952, 279, 11775, 3094, 555, 3094, 520, 264, 892, 13, 7648, 315, 279, 892, 358, 574, 22568, 555, 279, 83240, 315, 279, 2363, 323, 1268, 2574, 4024, 13, 358, 3021, 279, 1176, 961, 315, 279, 2363, 11, 44637, 648, 596, 3446, 13, 5112, 3010, 279, 11775, 11299, 2875, 389, 279, 2466, 2574, 430, 358, 4934, 311, 3621, 477, 3463, 358, 4934, 311, 13, 578, 3229, 596, 4477, 574, 1633, 15234, 311, 757, 13, 578, 21976, 6612, 1633, 31161, 11, 358, 3287, 956, 6530, 1093, 264, 4725, 10652, 323, 7344, 433, 596, 1120, 1606, 37219, 1051, 12365, 6498, 323, 430, 574, 47964, 30, 358, 1541, 956, 1440, 13, 358, 656, 3021, 1268, 1364, 32762, 279, 81012, 323, 12062, 505, 279, 12966, 323, 279, 56988, 37190, 13, 358, 574, 1633, 8173, 304, 872, 9606, 323, 6612, 1093, 1364, 1436, 617, 3779, 810, 11, 3582, 358, 3021, 682, 279, 13312, 6392, 279, 3229, 3779, 627, 27798, 14986, 25, 36007, 519, 555, 362, 1345, 13, 473, 867, 51515, 10506, 489, 480, 9522, 19997, 25, 18589, 287, 369, 279, 24830, 315, 433, 555, 15341, 480, 14210, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 279, 11775, 11, 323, 358, 1781, 52983, 8683, 648, 2216, 75974, 433, 627, 68359, 1543, 8683, 648, 374, 459, 8056, 3229, 358, 617, 311, 48466, 13, 1283, 14238, 1690, 17118, 3778, 32963, 369, 12884, 323, 420, 374, 813, 1176, 3995, 6822, 2363, 11, 323, 358, 617, 311, 2019, 568, 596, 2884, 459, 8056, 2683, 13, 5414, 1742, 315, 4477, 374, 1148, 2216, 15107, 757, 304, 323, 1903, 757, 1390, 311, 1373, 13, 5414, 95471, 7899, 430, 568, 6267, 505, 44312, 596, 1486, 315, 1684, 574, 3596, 37018, 323, 3287, 956, 2873, 86125, 477, 29859, 304, 279, 21976, 439, 1063, 12283, 649, 1304, 433, 387, 13, 2876, 2771, 422, 358, 1390, 311, 1817, 704, 904, 1023, 11775, 596, 568, 5439, 11, 719, 27461, 14333, 813, 4477, 7512, 29817, 627, 791, 94465, 315, 420, 11775, 374, 47685, 1789, 3520, 323, 1364, 1550, 459, 8056, 2683, 439, 60794, 323, 14268, 56941, 279, 11775, 449, 279, 38940, 430, 44312, 11705, 304, 279, 2363, 13, 6385, 5647, 315, 28485, 323, 358, 2846, 47576, 430, 1364, 1101, 6575, 449, 52983, 8683, 648, 374, 6273, 422, 539, 810, 1109, 12835, 704, 17813, 4367, 13, 6385, 1742, 315, 13633, 574, 264, 502, 1648, 430, 358, 3077, 3596, 3970, 323, 433, 574, 539, 520, 682, 44461, 304, 264, 1648, 279, 5084, 1093, 264, 6721, 24465, 433, 11, 477, 311, 41630, 264, 8945, 287, 430, 433, 7111, 1093, 264, 3169, 261, 2427, 569, 804, 24465, 627, 8538, 1401, 3585, 358, 617, 311, 733, 927, 374, 279, 26569, 323, 18884, 1093, 279, 11775, 6688, 1022, 439, 358, 1373, 3235, 13, 2684, 574, 264, 892, 994, 358, 6612, 1093, 420, 3446, 574, 11112, 837, 323, 1070, 1051, 3115, 1405, 358, 3463, 1359, 86819, 430, 1550, 539, 3621, 13, 3053, 956, 387, 12765, 1210, 2100, 433, 574, 6273, 304, 264, 1648, 13, 1666, 1690, 5885, 14264, 323, 14918, 44312, 358, 6612, 1093, 358, 574, 7982, 449, 1124, 323, 433, 5828, 956, 1120, 459, 927, 3814, 2349, 315, 11429, 1606, 584, 682, 1440, 430, 649, 956, 11000, 3621, 13, 1102, 596, 1093, 5605, 358, 2846, 2133, 311, 1212, 2133, 311, 279, 19343, 1475, 1938, 369, 459, 6596, 6041, 3432, 13, 2360, 1648, 433, 649, 956, 3621, 323, 358, 2846, 16089, 433, 3287, 956, 3621, 304, 279, 11775, 13, 7429, 4648, 11, 6908, 961, 304, 279, 11775, 11, 902, 374, 539, 264, 6908, 73306, 11, 719, 499, 617, 311, 3619, 4648, 374, 459, 18254, 3245, 430, 13980, 682, 927, 279, 1917, 323, 358, 3287, 956, 2733, 1093, 433, 4295, 2162, 2653, 13, 2684, 574, 279, 8019, 70, 2136, 430, 358, 6612, 994, 264, 3752, 5946, 3201, 11, 719, 499, 617, 264, 8430, 430, 4400, 304, 44312, 596, 2324, 374, 4725, 13, 362, 7075, 961, 315, 420, 11775, 574, 994, 44312, 5415, 430, 568, 649, 956, 1797, 1268, 1690, 2523, 17822, 568, 596, 1027, 11, 994, 279, 6980, 520, 1050, 8506, 7, 5902, 10585, 2978, 8, 649, 1797, 389, 832, 1450, 13, 1102, 2216, 23268, 757, 323, 358, 649, 311, 459, 13112, 3619, 11, 719, 1606, 358, 3077, 2646, 3967, 5606, 311, 2815, 1603, 433, 596, 9193, 5107, 311, 3619, 279, 58596, 323, 7554, 2136, 499, 2733, 439, 430, 1732, 11141, 627, 11649, 358, 1541, 956, 1781, 430, 358, 1205, 311, 1377, 73291, 389, 14926, 1109, 358, 3077, 2736, 1550, 11, 779, 358, 11813, 856, 9072, 311, 682, 315, 499, 430, 617, 1373, 578, 49981, 3082, 53125, 315, 264, 3744, 4212, 7904, 555, 52983, 8683, 648, 13, 358, 1053, 3021, 311, 6865, 701, 6170, 323, 25481, 311, 420, 2363, 13, 7429, 904, 2363, 19075, 4587, 2733, 1949, 323, 5387, 439, 264, 4068, 627, 11356, 6603, 387, 304, 279, 3938, 51447, 2170, 499, 1253, 8101, 11, 422, 499, 1833, 856, 5117, 430, 358, 6118, 1541, 956, 9396, 311, 420, 1160, 1193, 13, 358, 2643, 923, 264, 2363, 11, 477, 1935, 704, 264, 2363, 4245, 311, 892, 477, 20426, 12, 2968, 13, 358, 3987, 499, 3619, 323, 420, 374, 1120, 264, 73545, 369, 757, 323, 369, 499, 13, 3639, 6603, 527, 499, 2133, 311, 1373, 304, 3297, 5380, 40, 6051, 1766, 420, 389, 46400, 279, 1023, 1938, 323, 3463, 311, 7182, 1268, 11364, 279, 8753, 527, 449, 872, 4221, 13, 358, 1541, 956, 1440, 922, 499, 11, 719, 369, 757, 358, 3217, 420, 18254, 323, 433, 596, 430, 16682, 8430, 994, 499, 5387, 264, 10652, 7029, 1825, 304, 499, 4059, 323, 499, 2103, 617, 2574, 311, 2019, 13, 1115, 8741, 810, 1109, 7000, 323, 358, 1205, 311, 1456, 311, 2019, 1148, 596, 389, 856, 4059, 810, 11, 358, 1505, 7182, 927, 42118, 856, 11555, 430, 358, 1390, 311, 2019, 430, 358, 6724, 2349, 279, 3463, 682, 3871, 13, 1442, 420, 8430, 8741, 311, 499, 2288, 4587, 4068, 1523, 3770, 13, 358, 1120, 4934, 311, 4430, 311, 499, 420, 8753, 5605, 430, 279, 6498, 11240, 1288, 617, 13, 1102, 596, 27873, 430, 584, 1541, 956, 323, 358, 4510, 430, 872, 1288, 387, 2555, 1093, 433, 15038, 304, 279, 26275, 10685, 627, 2028, 12929, 3727, 856, 4851, 5266, 709, 323, 45743, 398, 57794, 3252, 430, 358, 3077, 2884, 4395, 779, 323, 3136, 311, 627, 3947, 596, 539, 1790, 311, 2019, 922, 420, 11, 719, 733, 1373, 279, 67636, 11871, 422, 499, 9167, 956, 2736, 4999, 4516, 8378, 13, 28468, 323, 704, 627, 5451, 11, 422, 499, 9167, 956, 34793, 311, 904, 80013, 8375, 318, 4988, 5609, 499, 1288, 13, 10657, 11, 1268, 389, 9420, 1550, 358, 539, 5406, 430, 627, 40, 574, 1633, 8173, 304, 264, 502, 1917, 311, 13488, 279, 3347, 2046, 323, 358, 1766, 420, 304, 459, 83179, 2068, 13, 43582, 445, 13, 77815, 374, 264, 17755, 3229, 430, 358, 1781, 584, 1288, 682, 2567, 459, 8071, 389, 13, 578, 3446, 568, 57622, 704, 369, 279, 6742, 374, 63615, 11944, 323, 1664, 3463, 704, 13, 16537, 6785, 374, 264, 21655, 311, 757, 315, 264, 5108, 315, 4325, 14, 442, 685, 3529, 599, 48748, 1093, 1917, 627, 2746, 1070, 374, 539, 3403, 2944, 430, 499, 1288, 636, 264, 15631, 323, 18404, 1664, 1618, 596, 2500, 2363, 13, 445, 2718, 430, 596, 1027, 279, 9327, 358, 3077, 1766, 13, 1789, 3187, 11, 435, 6015, 461, 25105, 555, 88354, 21393, 12565, 71, 942, 11, 578, 67636, 11871, 97313, 11, 323, 264, 2478, 5672, 4227, 358, 5602, 70308, 1376, 100223, 13, 2876, 430, 358, 1541, 956, 617, 4205, 2403, 82565, 323, 38057, 719, 358, 4934, 2555, 2204, 13, 10926, 2555, 502, 323, 86560, 315, 627, 36294, 299, 445, 13, 77815, 706, 279, 1455, 6366, 1648, 315, 11890, 264, 3446, 430, 46304, 757, 1418, 358, 574, 5403, 13, 18056, 813, 4477, 4536, 956, 10409, 449, 36505, 3339, 757, 312, 29906, 15320, 11, 433, 1047, 459, 2362, 892, 88, 2733, 13, 358, 6612, 1633, 53312, 1139, 420, 1917, 568, 3549, 323, 279, 5885, 430, 11096, 304, 13, 358, 1541, 956, 1440, 1268, 311, 2019, 420, 1606, 420, 374, 264, 1633, 34553, 3477, 369, 757, 311, 3350, 13, 358, 3021, 813, 4477, 11, 719, 279, 3446, 3287, 956, 1304, 757, 1390, 311, 1373, 810, 13, 358, 2216, 4934, 311, 1093, 420, 719, 358, 7846, 956, 13, 1102, 596, 539, 3958, 477, 4205, 11, 719, 358, 1120, 1436, 539, 733, 1139, 2500, 5108, 315, 4325, 3446, 13, 578, 17779, 374, 17235, 58973, 323, 358, 1550, 539, 2733, 1093, 4205, 574, 3361, 627, 4516, 358, 3077, 1027, 2064, 33298, 449, 5403, 31445, 323, 682, 279, 6603, 430, 358, 3077, 11021, 304, 279, 3347, 2478, 4038, 617, 1027, 389, 279, 28745, 323, 8748, 311, 387, 13061, 709, 1578, 3349, 13, 358, 1120, 4934, 311, 4430, 449, 379, 65948, 279, 6603, 323, 23127, 499, 649, 15253, 757, 1139, 5403, 1124, 1578, 477, 64042, 757, 13, 26213, 757, 389, 23068, 571, 100069, 548, 7819, 11, 2613, 757, 1393, 91, 37004, 20739, 8651, 91, 477, 4068, 3770, 4999, 40, 574, 1633, 25408, 555, 15037, 6518, 555, 19178, 7948, 34856, 323, 1097, 23069, 311, 1373, 279, 2132, 47644, 11, 779, 358, 4265, 1093, 311, 4430, 449, 379, 65948, 1063, 11936, 358, 3463, 5052, 279, 11775, 323, 279, 5885, 627, 77591, 65, 3751, 14496, 17768, 51721, 5380, 11649, 358, 617, 1027, 38213, 12387, 3115, 369, 279, 22213, 65, 3751, 17768, 323, 358, 9167, 956, 19089, 279, 45314, 4860, 1203, 369, 264, 1418, 13, 2057, 1817, 704, 279, 1176, 892, 358, 574, 38213, 4299, 1618, 627, 16, 13, 3639, 656, 499, 2567, 5403, 323, 2133, 1203, 311, 927, 323, 927, 1578, 5380, 2321, 2308, 395, 11559, 279, 4459, 52145, 4101, 627, 17, 13, 763, 2978, 1051, 14, 548, 499, 264, 48952, 18790, 1732, 11, 477, 1550, 499, 68514, 1373, 279, 2631, 5403, 5380, 32148, 44106, 18790, 422, 358, 1541, 956, 617, 892, 627, 18, 13, 3639, 775, 656, 499, 3021, 11, 28858, 6603, 5380, 19, 13, 3639, 596, 701, 7075, 2363, 96139, 5380, 20, 13, 3639, 2363, 1053, 499, 3021, 11, 810, 1109, 4205, 11, 311, 387, 3970, 6656, 1139, 264, 5818, 5380, 27247, 6518, 555, 19178, 7948, 34856, 11, 422, 814, 4822, 837, 311, 433, 627, 22, 13, 3234, 499, 1093, 311, 3350, 11, 439, 1664, 439, 11, 1373, 5380, 40, 3021, 311, 3350, 11, 4205, 11, 323, 4395, 627, 23, 13, 3639, 596, 279, 1176, 11775, 430, 499, 649, 6227, 5403, 5380, 2170, 358, 1373, 420, 358, 3169, 315, 7020, 1148, 358, 574, 3794, 1139, 13, 358, 3463, 358, 7020, 1148, 420, 574, 682, 922, 13, 4702, 1063, 4288, 1732, 4477, 922, 813, 35292, 323, 813, 83733, 323, 41367, 31710, 304, 1990, 13, 358, 2751, 1148, 358, 3463, 13, 358, 8434, 956, 2019, 1070, 574, 4205, 430, 2216, 14792, 757, 13, 358, 3021, 311, 5944, 323, 7170, 499, 649, 956, 323, 499, 3974, 1555, 4423, 775, 13, 3011, 574, 6555, 11, 719, 358, 1781, 682, 5944, 6603, 527, 1093, 430, 13, 5112, 1578, 11, 358, 13434, 956, 2019, 430, 1606, 420, 374, 279, 1176, 315, 358, 3987, 1690, 6603, 922, 21646, 627, 40, 3021, 1268, 15341, 86965, 569, 3287, 956, 1120, 2019, 813, 11704, 323, 1903, 430, 279, 1925, 5915, 13, 1102, 6612, 810, 1093, 459, 2362, 4333, 574, 11890, 499, 922, 813, 35292, 323, 7669, 287, 449, 499, 13, 1102, 574, 4228, 2133, 323, 4400, 2288, 6129, 323, 358, 1781, 420, 2363, 3782, 1120, 304, 892, 369, 757, 11, 994, 358, 574, 5403, 264, 2763, 315, 1317, 323, 1664, 3463, 704, 57216, 7234, 62990, 323, 358, 1120, 4460, 264, 4062, 7474, 1373, 627, 2170, 499, 1253, 1440, 505, 279, 1160, 315, 2363, 8544, 358, 617, 2884, 430, 358, 3021, 3995, 6822, 14, 1768, 276, 2553, 30363, 32963, 13, 1115, 374, 7041, 1148, 358, 3463, 358, 4934, 311, 636, 7182, 1139, 1306, 358, 8220, 15037, 6518, 555, 19178, 7948, 34856, 1606, 358, 1120, 3021, 279, 17779, 13, 358, 3287, 956, 1440, 3582, 430, 358, 4265, 2586, 704, 304, 264, 282, 10033, 323, 20910, 374, 420, 2216, 279, 3938, 315, 3995, 6822, 32963, 13, 358, 2846, 51975, 311, 2019, 430, 358, 1436, 539, 6381, 420, 2363, 1606, 433, 574, 1120, 2288, 50204, 311, 757, 13, 1102, 574, 1093, 10307, 10054, 30099, 11, 499, 7020, 7041, 1148, 574, 2133, 311, 3621, 627, 32, 1345, 13, 473, 867, 51515, 11, 358, 10456, 279, 5149, 304, 6968, 279, 56988, 37190, 37219, 323, 279, 4092, 6677, 315, 4395, 13, 358, 3021, 1268, 279, 3229, 3287, 956, 2216, 33394, 3201, 505, 4819, 430, 527, 304, 872, 1917, 837, 311, 11604, 304, 264, 1648, 323, 1268, 1364, 3952, 279, 11775, 3094, 555, 3094, 520, 264, 892, 13, 7648, 315, 279, 892, 358, 574, 22568, 555, 279, 83240, 315, 279, 2363, 323, 1268, 2574, 4024, 13, 358, 3021, 279, 1176, 961, 315, 279, 2363, 11, 44637, 648, 596, 3446, 13, 5112, 3010, 279, 11775, 11299, 2875, 389, 279, 2466, 2574, 430, 358, 4934, 311, 3621, 477, 3463, 358, 4934, 311, 13, 578, 3229, 596, 4477, 574, 1633, 15234, 311, 757, 13, 578, 21976, 6612, 1633, 31161, 11, 358, 3287, 956, 6530, 1093, 264, 4725, 10652, 323, 7344, 433, 596, 1120, 1606, 37219, 1051, 12365, 6498, 323, 430, 574, 47964, 30, 358, 1541, 956, 1440, 13, 358, 656, 3021, 1268, 1364, 32762, 279, 81012, 323, 12062, 505, 279, 12966, 323, 279, 56988, 37190, 13, 358, 574, 1633, 8173, 304, 872, 9606, 323, 6612, 1093, 1364, 1436, 617, 3779, 810, 11, 3582, 358, 3021, 682, 279, 13312, 6392, 279, 3229, 3779, 627, 27798, 14986, 25, 36007, 519, 555, 362, 1345, 13, 473, 867, 51515, 10506, 489, 480, 9522, 19997, 25, 18589, 287, 369, 279, 24830, 315, 433, 555, 15341, 480, 14210, 1131, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061 ]
2,062
[ 128000, 11769, 1060, 11, 389, 39869, 753, 6187, 11, 433, 753, 279, 1890, 3245, 25, 1057, 18254, 2324, 374, 64765, 555, 23492, 323, 2324, 374, 84273, 449, 2579, 1981, 1115, 1060, 11, 3508, 499, 527, 264, 5743, 477, 539, 11, 584, 4284, 430, 499, 18890, 7552, 220, 975, 339, 304, 264, 2204, 1648, 323, 430, 499, 1101, 18890, 279, 3021, 499, 617, 369, 701, 6896, 4999, 1966, 420, 7552, 220, 975, 339, 11714, 11, 1148, 15496, 1053, 4587, 701, 6896, 30, 578, 1890, 832, 439, 1475, 1938, 11, 477, 11, 422, 499, 6773, 311, 1906, 279, 13402, 323, 65893, 1461, 264, 2697, 11, 264, 4322, 477, 813, 7075, 3691, 374, 3403, 627, 2257, 27970, 753, 6187, 449, 701, 37513, 22489, 30, 2360, 1205, 311, 733, 704, 0, 2052, 568, 6944, 374, 311, 387, 449, 499, 11, 323, 430, 753, 1120, 439, 1664, 11, 1606, 813, 2162, 374, 1101, 701, 2162, 0, 2052, 279, 810, 2944, 11, 304, 7552, 11, 279, 35288, 9439, 3250, 1431, 14647, 1304, 499, 1390, 311, 733, 704, 11, 323, 430, 753, 1695, 3754, 4999, 2746, 499, 10491, 311, 8493, 39869, 753, 6187, 8369, 449, 1461, 11, 264, 1695, 6857, 315, 99738, 25567, 477, 10882, 91710, 29189, 690, 656, 13, 1283, 2834, 1431, 4059, 12512, 701, 7418, 1888, 1981, 279, 1972, 3245, 4999, 24901, 11, 3508, 499, 3207, 304, 264, 5133, 477, 539, 11, 323, 3508, 499, 3207, 16614, 477, 539, 11, 389, 39869, 753, 6187, 11, 499, 649, 1431, 22884, 279, 84663, 3021, 701, 6896, 706, 369, 499, 13, 3161, 1461, 11, 433, 753, 39869, 753, 6187, 1475, 1938, 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 ]
[ 128000, 11769, 1060, 11, 389, 39869, 753, 6187, 11, 433, 753, 279, 1890, 3245, 25, 1057, 18254, 2324, 374, 64765, 555, 23492, 323, 2324, 374, 84273, 449, 2579, 1981, 1115, 1060, 11, 3508, 499, 527, 264, 5743, 477, 539, 11, 584, 4284, 430, 499, 18890, 7552, 220, 975, 339, 304, 264, 2204, 1648, 323, 430, 499, 1101, 18890, 279, 3021, 499, 617, 369, 701, 6896, 4999, 1966, 420, 7552, 220, 975, 339, 11714, 11, 1148, 15496, 1053, 4587, 701, 6896, 30, 578, 1890, 832, 439, 1475, 1938, 11, 477, 11, 422, 499, 6773, 311, 1906, 279, 13402, 323, 65893, 1461, 264, 2697, 11, 264, 4322, 477, 813, 7075, 3691, 374, 3403, 627, 2257, 27970, 753, 6187, 449, 701, 37513, 22489, 30, 2360, 1205, 311, 733, 704, 0, 2052, 568, 6944, 374, 311, 387, 449, 499, 11, 323, 430, 753, 1120, 439, 1664, 11, 1606, 813, 2162, 374, 1101, 701, 2162, 0, 2052, 279, 810, 2944, 11, 304, 7552, 11, 279, 35288, 9439, 3250, 1431, 14647, 1304, 499, 1390, 311, 733, 704, 11, 323, 430, 753, 1695, 3754, 4999, 2746, 499, 10491, 311, 8493, 39869, 753, 6187, 8369, 449, 1461, 11, 264, 1695, 6857, 315, 99738, 25567, 477, 10882, 91710, 29189, 690, 656, 13, 1283, 2834, 1431, 4059, 12512, 701, 7418, 1888, 1981, 279, 1972, 3245, 4999, 24901, 11, 3508, 499, 3207, 304, 264, 5133, 477, 539, 11, 323, 3508, 499, 3207, 16614, 477, 539, 11, 389, 39869, 753, 6187, 11, 499, 649, 1431, 22884, 279, 84663, 3021, 701, 6896, 706, 369, 499, 13, 3161, 1461, 11, 433, 753, 39869, 753, 6187, 1475, 1938, 4999, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264 ]
265
[ 128000, 40, 2846, 1120, 1375, 17718, 1148, 358, 574, 3309, 520, 264, 36693, 661, 323, 1148, 358, 3077, 3217, 1131, 220, 4800, 1618, 596, 264, 5743, 7902, 358, 1120, 48569, 839, 369, 499, 1473, 5451, 264, 31085, 315, 279, 19437, 13426, 11, 2737, 264, 6420, 315, 279, 22403, 1341, 3786, 430, 15738, 13044, 499, 505, 279, 3827, 382, 2485, 1129, 2185, 5831, 916, 14, 1141, 38562, 673, 77, 2661, 916, 92834, 6711, 1824, 1036, 15728, 2442, 20589, 12, 679, 23, 14, 1141, 8851, 2746, 499, 1541, 956, 1390, 311, 1505, 6801, 1573, 279, 2723, 311, 279, 22403, 1341, 3786, 389, 430, 2199, 11, 1618, 596, 279, 2199, 902, 34945, 279, 400, 1041, 11307, 320, 1073, 400, 1135, 369, 25098, 49236, 6978, 696, 1277, 1129, 11921, 673, 77, 2661, 916, 14, 69216, 1474, 2850, 13567, 12, 92677, 21099, 12, 679, 23, 8851, 40, 649, 956, 1505, 264, 2592, 369, 3249, 856, 10896, 596, 45880, 320, 8370, 4536, 956, 459, 22403, 1341, 3786, 8, 11293, 856, 3827, 4478, 11, 719, 430, 1253, 387, 709, 311, 14189, 11429, 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 ]
[ 128000, 40, 2846, 1120, 1375, 17718, 1148, 358, 574, 3309, 520, 264, 36693, 661, 323, 1148, 358, 3077, 3217, 1131, 220, 4800, 1618, 596, 264, 5743, 7902, 358, 1120, 48569, 839, 369, 499, 1473, 5451, 264, 31085, 315, 279, 19437, 13426, 11, 2737, 264, 6420, 315, 279, 22403, 1341, 3786, 430, 15738, 13044, 499, 505, 279, 3827, 382, 2485, 1129, 2185, 5831, 916, 14, 1141, 38562, 673, 77, 2661, 916, 92834, 6711, 1824, 1036, 15728, 2442, 20589, 12, 679, 23, 14, 1141, 8851, 2746, 499, 1541, 956, 1390, 311, 1505, 6801, 1573, 279, 2723, 311, 279, 22403, 1341, 3786, 389, 430, 2199, 11, 1618, 596, 279, 2199, 902, 34945, 279, 400, 1041, 11307, 320, 1073, 400, 1135, 369, 25098, 49236, 6978, 696, 1277, 1129, 11921, 673, 77, 2661, 916, 14, 69216, 1474, 2850, 13567, 12, 92677, 21099, 12, 679, 23, 8851, 40, 649, 956, 1505, 264, 2592, 369, 3249, 856, 10896, 596, 45880, 320, 8370, 4536, 956, 459, 22403, 1341, 3786, 8, 11293, 856, 3827, 4478, 11, 719, 430, 1253, 387, 709, 311, 14189, 11429, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176 ]
177
[ 128000, 40, 6562, 358, 1047, 17454, 1139, 54544, 994, 814, 1051, 2466, 323, 37138, 323, 3782, 449, 264, 19569, 15803, 315, 57794, 3252, 3268, 13, 578, 7100, 8815, 706, 2744, 1027, 311, 1977, 264, 2731, 54409, 751, 4714, 13, 10699, 7020, 430, 279, 23146, 2626, 574, 264, 6761, 58822, 11, 12466, 30774, 10705, 5380, 2181, 3940, 449, 6980, 323, 47995, 659, 65906, 13, 1102, 5828, 1431, 3403, 311, 5357, 389, 23351, 17231, 552, 505, 259, 14550, 1054, 89364, 757, 18319, 12195, 389, 279, 28678, 315, 297, 23382, 37824, 11, 11640, 11330, 48777, 6980, 709, 279, 5292, 69172, 555, 872, 19671, 30853, 323, 8965, 17864, 279, 2978, 555, 70159, 323, 1243, 2133, 704, 389, 279, 10034, 5151, 311, 387, 21489, 90984, 323, 3243, 279, 32966, 23146, 13, 1226, 1047, 311, 2571, 12290, 304, 279, 27653, 555, 7231, 279, 41283, 5469, 2466, 54544, 11, 2288, 627, 791, 2733, 72800, 9327, 14264, 13, 2684, 527, 1457, 23146, 304, 4395, 369, 16470, 13, 1442, 499, 9167, 1431, 2834, 832, 31445, 11, 433, 374, 4762, 1606, 499, 9167, 1431, 1027, 311, 279, 1772, 5274, 304, 264, 2478, 2919, 13, 4343, 701, 30774, 2613, 8695, 26, 1070, 753, 4762, 832, 8748, 369, 499, 13, 1472, 527, 264, 33647, 6130, 11, 6469, 4562, 11, 33575, 24023, 11, 8996, 26, 701, 22643, 649, 387, 11922, 449, 264, 4382, 4641, 1650, 477, 555, 21973, 704, 264, 10015, 10795, 627, 791, 4477, 574, 389, 279, 87553, 7147, 520, 264, 27144, 19665, 16520, 304, 922, 220, 3753, 15, 13, 358, 2751, 220, 1114, 339, 2035, 323, 574, 22034, 264, 29142, 28661, 38782, 430, 706, 6197, 311, 264, 19569, 315, 60030, 13, 578, 13987, 45549, 809, 22563, 389, 264, 2385, 315, 51527, 42390, 389, 92185, 26429, 38971, 1550, 264, 2010, 3983, 30963, 1139, 279, 44364, 1317, 4227, 320, 438, 4762, 574, 22034, 1063, 342, 8039, 88, 4037, 369, 279, 5149, 11, 358, 1541, 1431, 1440, 705, 719, 17354, 279, 7397, 315, 757, 25694, 433, 304, 264, 1317, 28612, 315, 13324, 7479, 520, 3070, 66237, 505, 892, 311, 892, 11, 8405, 459, 35825, 56996, 590, 24354, 369, 70627, 757, 1523, 264, 31787, 477, 1403, 627, 644, 420, 3177, 11, 649, 584, 656, 3201, 449, 279, 4751, 1054, 33542, 12989, 7555, 74022, 1102, 2646, 8967, 1148, 433, 1288, 617, 311, 3240, 449, 2001, 264, 6366, 7555, 449, 1579, 11478, 11, 264, 6555, 2683, 11, 323, 264, 1695, 5647, 315, 28485, 11, 889, 1436, 51176, 709, 73585, 21644, 389, 264, 74571, 1418, 19054, 14268, 24257, 6980, 304, 264, 29585, 323, 58905, 3838, 13, 2052, 433, 3596, 2216, 1879, 1908, 574, 264, 3995, 17240, 21363, 704, 449, 459, 2362, 893, 369, 279, 3021, 315, 3300, 13, 1102, 753, 779, 4279, 1521, 2919, 430, 433, 753, 539, 38782, 97767, 627, 32, 38782, 7555, 649, 387, 264, 2763, 315, 2574, 304, 279, 6617, 1917, 13, 2435, 656, 3041, 54544, 369, 264, 712, 28113, 22643, 11, 1314, 30, 2030, 433, 3250, 1431, 3009, 1070, 13, 1102, 753, 539, 41296, 311, 1450, 704, 20735, 47620, 369, 1694, 304, 279, 1948, 41376, 458, 315, 4205, 13, 2650, 922, 279, 1054, 84660, 58832, 2476, 1054, 3646, 13241, 2476, 477, 1054, 16241, 19451, 863, 54544, 30, 1628, 1095, 753, 539, 10894, 279, 20852, 10292, 13, 2650, 922, 264, 38782, 7555, 6832, 3802, 311, 33651, 374, 88641, 88412, 398, 9204, 709, 311, 1455, 12659, 323, 42126, 922, 1077, 6996, 315, 5737, 892, 5380, 2746, 499, 8343, 520, 264, 10960, 420, 9178, 11, 1427, 520, 279, 14620, 2212, 279, 3703, 3158, 11, 824, 817, 279, 5130, 3504, 11, 477, 1373, 1202, 1008, 304, 904, 832, 315, 279, 1690, 10292, 27875, 5944, 32947, 2561, 520, 279, 3613, 87103, 18496, 304, 701, 1403, 37619, 2380, 37619, 3116, 12, 477, 4330, 21337, 11230, 9689, 13, 921, 3095, 527, 2216, 1695, 430, 499, 527, 922, 311, 961, 731, 304, 459, 10292, 27875, 18397, 3217, 13, 1442, 11, 555, 8870, 6140, 11, 279, 14620, 527, 12743, 323, 279, 5130, 1193, 16964, 279, 3691, 814, 8854, 11, 499, 649, 2800, 28478, 430, 499, 690, 387, 12020, 74999, 7162, 323, 46029, 520, 1057, 1866, 10292, 27875, 8952, 627, 8140, 23914, 527, 71116, 2539, 315, 6761, 45872, 278, 80827, 13, 7357, 31493, 706, 37109, 51191, 323, 58617, 4881, 13, 578, 56035, 315, 1057, 14016, 527, 37048, 13, 578, 30687, 10756, 682, 617, 1027, 15324, 369, 19310, 6130, 2532, 13, 7357, 1972, 12675, 7626, 51242, 264, 4376, 21030, 1054, 3565, 24190, 2029, 4418, 1431, 4510, 433, 30, 4702, 2610, 832, 315, 279, 1690, 8420, 315, 279, 2305, 889, 990, 520, 1521, 7634, 627, 13461, 279, 2254, 36174, 315, 5887, 37604, 374, 52673, 323, 927, 8539, 7913, 555, 279, 51687, 311, 387, 15324, 13, 2684, 527, 779, 1690, 11306, 323, 1176, 37619, 2132, 12, 323, 4948, 42761, 54544, 23415, 704, 369, 1855, 430, 433, 374, 4661, 12266, 539, 311, 3243, 2555, 369, 11689, 477, 20427, 1524, 4376, 279, 6149, 1555, 6424, 449, 264, 15648, 13, 28653, 0, 6914, 753, 2567, 3839, 315, 279, 49002, 430, 1541, 1431, 3243, 13, 2435, 23528, 311, 387, 26579, 369, 430, 4999, 2173, 3388, 11, 420, 9647, 374, 7263, 311, 499, 304, 832, 315, 1403, 10292, 27875, 7446, 32594, 304, 6424, 323, 555, 420, 10292, 27875, 54187, 449, 912, 73273, 13, 578, 5150, 23146, 527, 1903, 315, 5684, 1521, 2919, 11, 323, 1418, 814, 527, 7447, 58822, 323, 279, 4371, 83241, 527, 21120, 17124, 304, 459, 16358, 3381, 11, 814, 1541, 1431, 2586, 449, 872, 1866, 14418, 13, 1472, 649, 636, 1884, 520, 13791, 11, 422, 499, 527, 8173, 627, 1688, 904, 4478, 11, 358, 690, 17257, 1457, 1603, 18570, 6206, 757, 459, 10292, 369, 22364, 704, 279, 8196, 13, 358, 3987, 499, 4774, 264, 35631, 36174, 315, 5887, 11, 279, 1888, 13560, 520, 5270, 753, 2360, 13, 220, 16, 1060, 21691, 16700, 22541, 4999, 79525, 2947, 6312, 43457, 994, 5684, 13630, 3782, 2085, 80810, 37138, 40852, 14295, 79215, 311, 1124, 13, 9359, 1461, 520, 938, 1414, 31, 5730, 6312, 657, 79, 916, 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 ]
[ 128000, 40, 6562, 358, 1047, 17454, 1139, 54544, 994, 814, 1051, 2466, 323, 37138, 323, 3782, 449, 264, 19569, 15803, 315, 57794, 3252, 3268, 13, 578, 7100, 8815, 706, 2744, 1027, 311, 1977, 264, 2731, 54409, 751, 4714, 13, 10699, 7020, 430, 279, 23146, 2626, 574, 264, 6761, 58822, 11, 12466, 30774, 10705, 5380, 2181, 3940, 449, 6980, 323, 47995, 659, 65906, 13, 1102, 5828, 1431, 3403, 311, 5357, 389, 23351, 17231, 552, 505, 259, 14550, 1054, 89364, 757, 18319, 12195, 389, 279, 28678, 315, 297, 23382, 37824, 11, 11640, 11330, 48777, 6980, 709, 279, 5292, 69172, 555, 872, 19671, 30853, 323, 8965, 17864, 279, 2978, 555, 70159, 323, 1243, 2133, 704, 389, 279, 10034, 5151, 311, 387, 21489, 90984, 323, 3243, 279, 32966, 23146, 13, 1226, 1047, 311, 2571, 12290, 304, 279, 27653, 555, 7231, 279, 41283, 5469, 2466, 54544, 11, 2288, 627, 791, 2733, 72800, 9327, 14264, 13, 2684, 527, 1457, 23146, 304, 4395, 369, 16470, 13, 1442, 499, 9167, 1431, 2834, 832, 31445, 11, 433, 374, 4762, 1606, 499, 9167, 1431, 1027, 311, 279, 1772, 5274, 304, 264, 2478, 2919, 13, 4343, 701, 30774, 2613, 8695, 26, 1070, 753, 4762, 832, 8748, 369, 499, 13, 1472, 527, 264, 33647, 6130, 11, 6469, 4562, 11, 33575, 24023, 11, 8996, 26, 701, 22643, 649, 387, 11922, 449, 264, 4382, 4641, 1650, 477, 555, 21973, 704, 264, 10015, 10795, 627, 791, 4477, 574, 389, 279, 87553, 7147, 520, 264, 27144, 19665, 16520, 304, 922, 220, 3753, 15, 13, 358, 2751, 220, 1114, 339, 2035, 323, 574, 22034, 264, 29142, 28661, 38782, 430, 706, 6197, 311, 264, 19569, 315, 60030, 13, 578, 13987, 45549, 809, 22563, 389, 264, 2385, 315, 51527, 42390, 389, 92185, 26429, 38971, 1550, 264, 2010, 3983, 30963, 1139, 279, 44364, 1317, 4227, 320, 438, 4762, 574, 22034, 1063, 342, 8039, 88, 4037, 369, 279, 5149, 11, 358, 1541, 1431, 1440, 705, 719, 17354, 279, 7397, 315, 757, 25694, 433, 304, 264, 1317, 28612, 315, 13324, 7479, 520, 3070, 66237, 505, 892, 311, 892, 11, 8405, 459, 35825, 56996, 590, 24354, 369, 70627, 757, 1523, 264, 31787, 477, 1403, 627, 644, 420, 3177, 11, 649, 584, 656, 3201, 449, 279, 4751, 1054, 33542, 12989, 7555, 74022, 1102, 2646, 8967, 1148, 433, 1288, 617, 311, 3240, 449, 2001, 264, 6366, 7555, 449, 1579, 11478, 11, 264, 6555, 2683, 11, 323, 264, 1695, 5647, 315, 28485, 11, 889, 1436, 51176, 709, 73585, 21644, 389, 264, 74571, 1418, 19054, 14268, 24257, 6980, 304, 264, 29585, 323, 58905, 3838, 13, 2052, 433, 3596, 2216, 1879, 1908, 574, 264, 3995, 17240, 21363, 704, 449, 459, 2362, 893, 369, 279, 3021, 315, 3300, 13, 1102, 753, 779, 4279, 1521, 2919, 430, 433, 753, 539, 38782, 97767, 627, 32, 38782, 7555, 649, 387, 264, 2763, 315, 2574, 304, 279, 6617, 1917, 13, 2435, 656, 3041, 54544, 369, 264, 712, 28113, 22643, 11, 1314, 30, 2030, 433, 3250, 1431, 3009, 1070, 13, 1102, 753, 539, 41296, 311, 1450, 704, 20735, 47620, 369, 1694, 304, 279, 1948, 41376, 458, 315, 4205, 13, 2650, 922, 279, 1054, 84660, 58832, 2476, 1054, 3646, 13241, 2476, 477, 1054, 16241, 19451, 863, 54544, 30, 1628, 1095, 753, 539, 10894, 279, 20852, 10292, 13, 2650, 922, 264, 38782, 7555, 6832, 3802, 311, 33651, 374, 88641, 88412, 398, 9204, 709, 311, 1455, 12659, 323, 42126, 922, 1077, 6996, 315, 5737, 892, 5380, 2746, 499, 8343, 520, 264, 10960, 420, 9178, 11, 1427, 520, 279, 14620, 2212, 279, 3703, 3158, 11, 824, 817, 279, 5130, 3504, 11, 477, 1373, 1202, 1008, 304, 904, 832, 315, 279, 1690, 10292, 27875, 5944, 32947, 2561, 520, 279, 3613, 87103, 18496, 304, 701, 1403, 37619, 2380, 37619, 3116, 12, 477, 4330, 21337, 11230, 9689, 13, 921, 3095, 527, 2216, 1695, 430, 499, 527, 922, 311, 961, 731, 304, 459, 10292, 27875, 18397, 3217, 13, 1442, 11, 555, 8870, 6140, 11, 279, 14620, 527, 12743, 323, 279, 5130, 1193, 16964, 279, 3691, 814, 8854, 11, 499, 649, 2800, 28478, 430, 499, 690, 387, 12020, 74999, 7162, 323, 46029, 520, 1057, 1866, 10292, 27875, 8952, 627, 8140, 23914, 527, 71116, 2539, 315, 6761, 45872, 278, 80827, 13, 7357, 31493, 706, 37109, 51191, 323, 58617, 4881, 13, 578, 56035, 315, 1057, 14016, 527, 37048, 13, 578, 30687, 10756, 682, 617, 1027, 15324, 369, 19310, 6130, 2532, 13, 7357, 1972, 12675, 7626, 51242, 264, 4376, 21030, 1054, 3565, 24190, 2029, 4418, 1431, 4510, 433, 30, 4702, 2610, 832, 315, 279, 1690, 8420, 315, 279, 2305, 889, 990, 520, 1521, 7634, 627, 13461, 279, 2254, 36174, 315, 5887, 37604, 374, 52673, 323, 927, 8539, 7913, 555, 279, 51687, 311, 387, 15324, 13, 2684, 527, 779, 1690, 11306, 323, 1176, 37619, 2132, 12, 323, 4948, 42761, 54544, 23415, 704, 369, 1855, 430, 433, 374, 4661, 12266, 539, 311, 3243, 2555, 369, 11689, 477, 20427, 1524, 4376, 279, 6149, 1555, 6424, 449, 264, 15648, 13, 28653, 0, 6914, 753, 2567, 3839, 315, 279, 49002, 430, 1541, 1431, 3243, 13, 2435, 23528, 311, 387, 26579, 369, 430, 4999, 2173, 3388, 11, 420, 9647, 374, 7263, 311, 499, 304, 832, 315, 1403, 10292, 27875, 7446, 32594, 304, 6424, 323, 555, 420, 10292, 27875, 54187, 449, 912, 73273, 13, 578, 5150, 23146, 527, 1903, 315, 5684, 1521, 2919, 11, 323, 1418, 814, 527, 7447, 58822, 323, 279, 4371, 83241, 527, 21120, 17124, 304, 459, 16358, 3381, 11, 814, 1541, 1431, 2586, 449, 872, 1866, 14418, 13, 1472, 649, 636, 1884, 520, 13791, 11, 422, 499, 527, 8173, 627, 1688, 904, 4478, 11, 358, 690, 17257, 1457, 1603, 18570, 6206, 757, 459, 10292, 369, 22364, 704, 279, 8196, 13, 358, 3987, 499, 4774, 264, 35631, 36174, 315, 5887, 11, 279, 1888, 13560, 520, 5270, 753, 2360, 13, 220, 16, 1060, 21691, 16700, 22541, 4999, 79525, 2947, 6312, 43457, 994, 5684, 13630, 3782, 2085, 80810, 37138, 40852, 14295, 79215, 311, 1124, 13, 9359, 1461, 520, 938, 1414, 31, 5730, 6312, 657, 79, 916, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984 ]
985
[ 128000, 22818, 264, 21765, 11, 3350, 264, 2875, 15465, 12399, 3196, 389, 279, 21765, 382, 13617, 5688, 25, 279, 1437, 96323, 11667, 323, 33384, 4580, 706, 39297, 15310, 97443, 64166, 5426, 1938, 42317, 63465, 19289, 449, 3663, 2819, 315, 7860, 1437, 96323, 11441, 1174, 674, 13, 567, 1437, 96323, 11441, 323, 674, 13, 567, 1437, 96323, 18160, 1174, 682, 18534, 279, 1396, 315, 1667, 2533, 1437, 96323, 17427, 1202, 24589, 505, 38430, 467, 1174, 279, 1437, 96323, 3115, 5068, 389, 94299, 16853, 13617, 9442, 25, 4846, 1446, 13464, 4872, 4780, 2162, 1306, 1694, 91533, 4208, 17073, 10405, 271, 13617, 5688, 25, 449, 46398, 7902, 5029, 1203, 311, 279, 7860, 339, 9478, 1174, 279, 10007, 38702, 315, 2995, 1974, 1174, 2162, 311, 3892, 315, 279, 7860, 46398, 17274, 28634, 555, 6348, 276, 1174, 706, 9282, 291, 1690, 264, 58412, 13766, 304, 279, 3347, 16853, 13617, 9442, 25, 1880, 318, 269, 11426, 1052, 16287, 8835, 389, 7230, 6781, 42, 6781, 42, 6781, 42, 3649, 271, 13617, 5688, 25, 279, 29292, 5415, 706, 4726, 22486, 6348, 276, 364, 82, 2680, 311, 279, 603, 6020, 1887, 555, 49636, 3738, 4595, 315, 3887, 31711, 1174, 279, 79353, 9476, 1071, 270, 7329, 16853, 13617, 9442, 512, 677, 3105, 77541, 311, 17302, 7100, 11501, 2010, 389, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 22818, 264, 21765, 11, 3350, 264, 2875, 15465, 12399, 3196, 389, 279, 21765, 382, 13617, 5688, 25, 279, 1437, 96323, 11667, 323, 33384, 4580, 706, 39297, 15310, 97443, 64166, 5426, 1938, 42317, 63465, 19289, 449, 3663, 2819, 315, 7860, 1437, 96323, 11441, 1174, 674, 13, 567, 1437, 96323, 11441, 323, 674, 13, 567, 1437, 96323, 18160, 1174, 682, 18534, 279, 1396, 315, 1667, 2533, 1437, 96323, 17427, 1202, 24589, 505, 38430, 467, 1174, 279, 1437, 96323, 3115, 5068, 389, 94299, 16853, 13617, 9442, 25, 4846, 1446, 13464, 4872, 4780, 2162, 1306, 1694, 91533, 4208, 17073, 10405, 271, 13617, 5688, 25, 449, 46398, 7902, 5029, 1203, 311, 279, 7860, 339, 9478, 1174, 279, 10007, 38702, 315, 2995, 1974, 1174, 2162, 311, 3892, 315, 279, 7860, 46398, 17274, 28634, 555, 6348, 276, 1174, 706, 9282, 291, 1690, 264, 58412, 13766, 304, 279, 3347, 16853, 13617, 9442, 25, 1880, 318, 269, 11426, 1052, 16287, 8835, 389, 7230, 6781, 42, 6781, 42, 6781, 42, 3649, 271, 13617, 5688, 25, 279, 29292, 5415, 706, 4726, 22486, 6348, 276, 364, 82, 2680, 311, 279, 603, 6020, 1887, 555, 49636, 3738, 4595, 315, 3887, 31711, 1174, 279, 79353, 9476, 1071, 270, 7329, 16853, 13617, 9442, 512, 677, 3105, 77541, 311, 17302, 7100, 11501, 2010, 389, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209 ]
210
[ 128000, 791, 49340, 315, 659, 12, 63316, 9200, 488, 320, 80168, 8, 706, 1766, 3851, 304, 8830, 28041, 323, 21165, 88, 7710, 304, 16625, 11, 93522, 1413, 628, 300, 7044, 13, 38750, 374, 11, 4869, 11, 264, 33994, 1920, 430, 13980, 439, 279, 11595, 315, 10043, 4478, 311, 14091, 49686, 4478, 374, 4529, 311, 7315, 13, 1226, 2980, 279, 810, 26569, 15398, 315, 35326, 10043, 4478, 13, 22196, 488, 6492, 21667, 430, 1070, 374, 264, 2585, 5852, 432, 6830, 902, 374, 79283, 311, 279, 46172, 1396, 432, 13737, 315, 95167, 304, 430, 433, 36716, 311, 279, 1396, 315, 12304, 12628, 315, 11542, 11, 430, 374, 11, 279, 2134, 315, 993, 6400, 69290, 10020, 29505, 927, 902, 832, 14035, 28041, 17432, 13, 4452, 369, 41635, 3581, 287, 6067, 279, 1396, 315, 12304, 12628, 315, 11542, 374, 54229, 520, 279, 7315, 10043, 4478, 11, 38750, 4017, 11, 304, 279, 14329, 5647, 311, 15962, 95167, 13, 18373, 2740, 11, 520, 35326, 432, 13737, 477, 432, 6830, 832, 81299, 28041, 927, 264, 35326, 2134, 902, 369, 95167, 11, 12992, 449, 432, 13737, 323, 369, 38750, 11, 43154, 449, 7859, 432, 6830, 11, 23377, 459, 40635, 9327, 311, 33137, 1124, 13, 1226, 1005, 279, 21795, 54, 9462, 12470, 1646, 311, 13488, 420, 4623, 323, 1505, 430, 24797, 96694, 43785, 649, 11, 11911, 389, 279, 3649, 315, 279, 10043, 11, 8881, 420, 17432, 11, 2410, 63697, 656, 539, 323, 8617, 527, 539, 2867, 50419, 3046, 315, 459, 38750, 1614, 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 ]
[ 128000, 791, 49340, 315, 659, 12, 63316, 9200, 488, 320, 80168, 8, 706, 1766, 3851, 304, 8830, 28041, 323, 21165, 88, 7710, 304, 16625, 11, 93522, 1413, 628, 300, 7044, 13, 38750, 374, 11, 4869, 11, 264, 33994, 1920, 430, 13980, 439, 279, 11595, 315, 10043, 4478, 311, 14091, 49686, 4478, 374, 4529, 311, 7315, 13, 1226, 2980, 279, 810, 26569, 15398, 315, 35326, 10043, 4478, 13, 22196, 488, 6492, 21667, 430, 1070, 374, 264, 2585, 5852, 432, 6830, 902, 374, 79283, 311, 279, 46172, 1396, 432, 13737, 315, 95167, 304, 430, 433, 36716, 311, 279, 1396, 315, 12304, 12628, 315, 11542, 11, 430, 374, 11, 279, 2134, 315, 993, 6400, 69290, 10020, 29505, 927, 902, 832, 14035, 28041, 17432, 13, 4452, 369, 41635, 3581, 287, 6067, 279, 1396, 315, 12304, 12628, 315, 11542, 374, 54229, 520, 279, 7315, 10043, 4478, 11, 38750, 4017, 11, 304, 279, 14329, 5647, 311, 15962, 95167, 13, 18373, 2740, 11, 520, 35326, 432, 13737, 477, 432, 6830, 832, 81299, 28041, 927, 264, 35326, 2134, 902, 369, 95167, 11, 12992, 449, 432, 13737, 323, 369, 38750, 11, 43154, 449, 7859, 432, 6830, 11, 23377, 459, 40635, 9327, 311, 33137, 1124, 13, 1226, 1005, 279, 21795, 54, 9462, 12470, 1646, 311, 13488, 420, 4623, 323, 1505, 430, 24797, 96694, 43785, 649, 11, 11911, 389, 279, 3649, 315, 279, 10043, 11, 8881, 420, 17432, 11, 2410, 63697, 656, 539, 323, 8617, 527, 539, 2867, 50419, 3046, 315, 459, 38750, 1614, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244 ]
245
[ 128000, 2059, 412, 704, 311, 28146, 6651, 264, 2763, 13, 1442, 499, 1093, 2466, 26446, 323, 499, 4250, 10457, 1243, 499, 1205, 832, 315, 1521, 13, 37294, 420, 11033, 47277, 3432, 323, 1095, 991, 1440, 2268, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2059, 412, 704, 311, 28146, 6651, 264, 2763, 13, 1442, 499, 1093, 2466, 26446, 323, 499, 4250, 10457, 1243, 499, 1205, 832, 315, 1521, 13, 37294, 420, 11033, 47277, 3432, 323, 1095, 991, 1440, 2268, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36 ]
37
[ 128000, 791, 12360, 11, 889, 374, 1888, 3967, 369, 813, 3560, 439, 279, 16797, 716, 3995, 11291, 29306, 304, 22883, 753, 29490, 31251, 12631, 11, 706, 4529, 389, 3117, 40130, 3917, 5030, 1618, 13, 1102, 753, 264, 5326, 430, 706, 11, 23490, 11, 7318, 1022, 627, 39, 43432, 11335, 1676, 9799, 25953, 11, 264, 3995, 893, 47336, 449, 2225, 813, 1866, 9358, 45075, 323, 279, 40444, 315, 264, 2254, 89853, 11, 6476, 449, 74808, 555, 8563, 45403, 29973, 627, 791, 67327, 6917, 753, 836, 6137, 51950, 389, 6405, 20193, 1306, 279, 4632, 4024, 3974, 389, 23469, 11, 449, 1690, 22511, 81678, 279, 12360, 753, 16907, 5178, 627, 2118, 39, 43432, 596, 5178, 304, 578, 40301, 2052, 578, 4212, 1120, 36862, 430, 568, 2216, 374, 832, 315, 279, 12474, 20142, 315, 420, 9659, 2476, 6267, 2500, 627, 14364, 12090, 430, 279, 3560, 1053, 387, 1054, 7678, 1251, 1461, 459, 31797, 113068, 8142, 38915, 753, 7359, 617, 9539, 55841, 311, 279, 3560, 449, 28361, 11, 6721, 23531, 617, 1101, 79973, 704, 279, 220, 1187, 4771, 6418, 8013, 12360, 369, 29488, 627, 791, 40301, 2052, 279, 4212, 374, 2561, 311, 4365, 389, 23469, 1457, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 791, 12360, 11, 889, 374, 1888, 3967, 369, 813, 3560, 439, 279, 16797, 716, 3995, 11291, 29306, 304, 22883, 753, 29490, 31251, 12631, 11, 706, 4529, 389, 3117, 40130, 3917, 5030, 1618, 13, 1102, 753, 264, 5326, 430, 706, 11, 23490, 11, 7318, 1022, 627, 39, 43432, 11335, 1676, 9799, 25953, 11, 264, 3995, 893, 47336, 449, 2225, 813, 1866, 9358, 45075, 323, 279, 40444, 315, 264, 2254, 89853, 11, 6476, 449, 74808, 555, 8563, 45403, 29973, 627, 791, 67327, 6917, 753, 836, 6137, 51950, 389, 6405, 20193, 1306, 279, 4632, 4024, 3974, 389, 23469, 11, 449, 1690, 22511, 81678, 279, 12360, 753, 16907, 5178, 627, 2118, 39, 43432, 596, 5178, 304, 578, 40301, 2052, 578, 4212, 1120, 36862, 430, 568, 2216, 374, 832, 315, 279, 12474, 20142, 315, 420, 9659, 2476, 6267, 2500, 627, 14364, 12090, 430, 279, 3560, 1053, 387, 1054, 7678, 1251, 1461, 459, 31797, 113068, 8142, 38915, 753, 7359, 617, 9539, 55841, 311, 279, 3560, 449, 28361, 11, 6721, 23531, 617, 1101, 79973, 704, 279, 220, 1187, 4771, 6418, 8013, 12360, 369, 29488, 627, 791, 40301, 2052, 279, 4212, 374, 2561, 311, 4365, 389, 23469, 1457, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192 ]
193
[ 128000, 2746, 499, 1390, 520, 264, 1167, 411, 442, 710, 19579, 49806, 258, 430, 27529, 459, 17383, 18710, 323, 1455, 315, 701, 1194, 374, 4529, 4669, 20904, 11, 79599, 499, 6782, 430, 12514, 7194, 527, 28786, 13, 21069, 23503, 28219, 430, 584, 617, 459, 9176, 3622, 311, 279, 18330, 13, 1789, 2753, 7342, 2585, 2515, 505, 1167, 411, 442, 710, 11, 2231, 4726, 5810, 17974, 1102, 574, 264, 905, 1167, 411, 442, 710, 25288, 912, 22866, 11, 9057, 315, 6067, 315, 27220, 5296, 7563, 13, 578, 2478, 12657, 411, 442, 710, 5623, 374, 311, 2586, 369, 279, 3700, 13421, 449, 2478, 1274, 13, 1442, 459, 3838, 477, 4851, 706, 264, 9629, 369, 701, 70719, 11, 499, 690, 14144, 369, 1274, 1234, 279, 2162, 9131, 13, 31033, 8409, 87139, 374, 279, 1879, 315, 5340, 15605, 14409, 7984, 78, 13, 3161, 264, 88133, 768, 11, 499, 527, 14624, 10717, 304, 264, 11782, 5597, 8352, 449, 264, 1486, 13, 30893, 10565, 1592, 981, 617, 264, 4279, 8924, 287, 1167, 411, 442, 710, 315, 3300, 3956, 814, 649, 390, 713, 278, 994, 54980, 627, 791, 8834, 6763, 5794, 1167, 411, 442, 710, 3185, 7958, 7357, 1167, 411, 442, 710, 323, 21308, 45936, 418, 1924, 584, 4321, 449, 1148, 311, 734, 369, 8884, 369, 14269, 13, 1115, 39671, 499, 4048, 3249, 814, 527, 5505, 311, 499, 11, 17236, 323, 3719, 1148, 433, 690, 387, 15344, 311, 1205, 1124, 11, 1520, 1268, 3254, 499, 527, 311, 19994, 389, 1124, 482, 323, 682, 420, 4946, 656, 6013, 323, 3021, 499, 422, 279, 34194, 29076, 3544, 13, 2684, 527, 23234, 315, 54269, 645, 499, 690, 1833, 311, 1501, 1167, 411, 442, 710, 1167, 39114, 3430, 11, 902, 527, 2163, 94031, 4893, 499, 539, 4149, 3191, 13, 1472, 649, 3596, 2231, 264, 1167, 411, 442, 710, 47040, 523, 24705, 88, 32106, 9168, 477, 1304, 433, 6261, 13, 62930, 7278, 1938, 374, 2288, 810, 1109, 832, 32571, 13, 1102, 1587, 1167, 411, 442, 710, 369, 264, 62564, 19405, 311, 2343, 709, 323, 2343, 1167, 411, 442, 710, 21354, 323, 8333, 1139, 701, 10177, 13, 1666, 358, 574, 19048, 3838, 16736, 7732, 11, 358, 1589, 41872, 264, 1790, 21515, 323, 813, 10712, 555, 279, 2162, 315, 279, 4652, 13, 2650, 1390, 499, 4321, 902, 3268, 527, 3596, 8828, 11, 323, 1148, 311, 12192, 30, 12623, 11, 433, 374, 912, 1023, 3780, 1167, 411, 442, 710, 912, 22866, 311, 2567, 459, 2723, 379, 4845, 0, 1115, 374, 279, 1167, 411, 442, 710, 2463, 4853, 315, 420, 3566, 13, 69102, 8267, 315, 14812, 7658, 12716, 430, 1317, 7795, 13, 1442, 810, 374, 1694, 1095, 304, 701, 13200, 449, 1167, 411, 442, 710, 1109, 279, 3196, 68834, 2254, 15653, 31889, 11, 912, 1070, 374, 264, 88170, 5064, 430, 1070, 374, 264, 1537, 2763, 369, 701, 1938, 304, 420, 2626, 627, 2675, 690, 40498, 2731, 315, 1521, 52140, 389, 1148, 92732, 264, 1314, 5326, 4901, 11, 422, 499, 3350, 709, 369, 6201, 13, 1219, 2972, 387, 3674, 279, 6136, 499, 3974, 374, 8267, 11, 311, 279, 2363, 323, 6944, 701, 1732, 1440, 459, 1695, 5333, 5015, 13, 1102, 374, 922, 539, 3411, 1124, 2019, 459, 7782, 1167, 411, 442, 710, 11, 477, 4495, 1063, 1167, 411, 442, 710, 19660, 4853, 13, 1952, 264, 4261, 477, 8863, 3430, 11, 499, 690, 2288, 7073, 6261, 449, 912, 1920, 22695, 13, 1628, 2187, 1124, 449, 757, 13, 1666, 264, 1167, 411, 442, 710, 1167, 39114, 3430, 11, 499, 527, 45179, 439, 459, 6425, 1296, 627, 2181, 6944, 1243, 1005, 430, 1120, 279, 17850, 18251, 54720, 481, 430, 706, 1027, 16625, 304, 279, 1920, 11, 323, 27548, 1176, 2949, 279, 12786, 8188, 13, 4314, 3966, 1167, 411, 442, 710, 296, 3524, 72, 1167, 85712, 499, 1457, 2663, 304, 31760, 11, 499, 649, 2216, 4128, 7155, 13, 578, 1888, 2463, 39114, 1167, 411, 442, 710, 922, 420, 33859, 374, 279, 58909, 315, 2349, 430, 374, 29085, 323, 1202, 2162, 311, 1205, 499, 311, 6904, 311, 1772, 4497, 5992, 13, 2435, 6267, 459, 5211, 315, 3778, 8522, 505, 279, 1403, 6462, 13306, 13, 362, 11897, 690, 14532, 264, 33247, 8276, 323, 38522, 311, 3493, 7658, 311, 1456, 369, 264, 37030, 29331, 311, 1427, 872, 3028, 1022, 315, 279, 2802, 13, 1442, 814, 1511, 499, 482, 11857, 1124, 1633, 13, 578, 5578, 13200, 1167, 411, 442, 710, 9021, 527, 539, 810, 12020, 323, 690, 387, 2294, 369, 8162, 17144, 311, 1376, 872, 19424, 369, 8051, 1070, 527, 2753, 7446, 3445, 369, 1124, 13, 578, 1167, 411, 442, 710, 19660, 4853, 315, 1167, 411, 442, 710, 65308, 8535, 3185, 6372, 311, 25896, 8964, 1405, 7493, 527, 3970, 11, 323, 6506, 369, 22651, 11, 3392, 323, 25074, 1288, 99981, 311, 4560, 13, 1442, 499, 617, 264, 29827, 45964, 30020, 23537, 1167, 411, 442, 710, 6514, 11, 1440, 311, 1304, 279, 13116, 13, 25531, 323, 264, 9235, 9647, 315, 65004, 11, 459, 77235, 555, 279, 6500, 315, 46268, 729, 2231, 43395, 36126, 3939, 505, 682, 33547, 22733, 13, 2057, 757, 11, 279, 15438, 1403, 374, 5933, 315, 279, 1167, 411, 442, 710, 2463, 4853, 5623, 11, 3582, 433, 374, 1690, 304, 279, 1167, 411, 442, 710, 48739, 220, 5154, 14060, 315, 279, 4330, 5789, 627, 24798, 10631, 323, 6959, 315, 4470, 30438, 13, 21663, 315, 12899, 20914, 482, 3600, 323, 50184, 315, 12152, 40260, 1268, 311, 1935, 1167, 411, 442, 710, 1253, 3063, 279, 62730, 323, 1167, 411, 442, 710, 13, 18242, 432, 13, 8012, 41445, 1789, 5655, 315, 603, 11, 584, 20874, 264, 3062, 6691, 5812, 389, 279, 8717, 584, 656, 13, 3658, 3268, 2997, 264, 75220, 7160, 649, 18056, 387, 9124, 994, 18054, 264, 4228, 11, 3938, 3495, 627, 3947, 527, 18845, 323, 1940, 988, 315, 13016, 21363, 2212, 323, 7172, 13200, 1418, 4737, 1167, 411, 442, 710, 1667, 323, 21787, 11, 323, 311, 1148, 3814, 30, 2030, 499, 3596, 5371, 279, 734, 311, 4822, 701, 3956, 505, 279, 6574, 266, 13, 2435, 1205, 14393, 709, 11, 323, 439, 814, 1440, 2216, 11, 12310, 315, 1124, 3085, 872, 54557, 1167, 411, 442, 710, 523, 24705, 88, 32106, 13, 1283, 12992, 10671, 17680, 22012, 304, 2204, 1667, 430, 912, 220, 1041, 46095, 374, 69239, 1113, 627, 69404, 369, 9002, 3115, 520, 1890, 9021, 4999, 1423, 520, 1403, 5220, 315, 4967, 374, 32862, 459, 19463, 13, 358, 1097, 3815, 922, 1023, 2678, 1034, 430, 5039, 603, 1203, 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 ]
[ 128000, 2746, 499, 1390, 520, 264, 1167, 411, 442, 710, 19579, 49806, 258, 430, 27529, 459, 17383, 18710, 323, 1455, 315, 701, 1194, 374, 4529, 4669, 20904, 11, 79599, 499, 6782, 430, 12514, 7194, 527, 28786, 13, 21069, 23503, 28219, 430, 584, 617, 459, 9176, 3622, 311, 279, 18330, 13, 1789, 2753, 7342, 2585, 2515, 505, 1167, 411, 442, 710, 11, 2231, 4726, 5810, 17974, 1102, 574, 264, 905, 1167, 411, 442, 710, 25288, 912, 22866, 11, 9057, 315, 6067, 315, 27220, 5296, 7563, 13, 578, 2478, 12657, 411, 442, 710, 5623, 374, 311, 2586, 369, 279, 3700, 13421, 449, 2478, 1274, 13, 1442, 459, 3838, 477, 4851, 706, 264, 9629, 369, 701, 70719, 11, 499, 690, 14144, 369, 1274, 1234, 279, 2162, 9131, 13, 31033, 8409, 87139, 374, 279, 1879, 315, 5340, 15605, 14409, 7984, 78, 13, 3161, 264, 88133, 768, 11, 499, 527, 14624, 10717, 304, 264, 11782, 5597, 8352, 449, 264, 1486, 13, 30893, 10565, 1592, 981, 617, 264, 4279, 8924, 287, 1167, 411, 442, 710, 315, 3300, 3956, 814, 649, 390, 713, 278, 994, 54980, 627, 791, 8834, 6763, 5794, 1167, 411, 442, 710, 3185, 7958, 7357, 1167, 411, 442, 710, 323, 21308, 45936, 418, 1924, 584, 4321, 449, 1148, 311, 734, 369, 8884, 369, 14269, 13, 1115, 39671, 499, 4048, 3249, 814, 527, 5505, 311, 499, 11, 17236, 323, 3719, 1148, 433, 690, 387, 15344, 311, 1205, 1124, 11, 1520, 1268, 3254, 499, 527, 311, 19994, 389, 1124, 482, 323, 682, 420, 4946, 656, 6013, 323, 3021, 499, 422, 279, 34194, 29076, 3544, 13, 2684, 527, 23234, 315, 54269, 645, 499, 690, 1833, 311, 1501, 1167, 411, 442, 710, 1167, 39114, 3430, 11, 902, 527, 2163, 94031, 4893, 499, 539, 4149, 3191, 13, 1472, 649, 3596, 2231, 264, 1167, 411, 442, 710, 47040, 523, 24705, 88, 32106, 9168, 477, 1304, 433, 6261, 13, 62930, 7278, 1938, 374, 2288, 810, 1109, 832, 32571, 13, 1102, 1587, 1167, 411, 442, 710, 369, 264, 62564, 19405, 311, 2343, 709, 323, 2343, 1167, 411, 442, 710, 21354, 323, 8333, 1139, 701, 10177, 13, 1666, 358, 574, 19048, 3838, 16736, 7732, 11, 358, 1589, 41872, 264, 1790, 21515, 323, 813, 10712, 555, 279, 2162, 315, 279, 4652, 13, 2650, 1390, 499, 4321, 902, 3268, 527, 3596, 8828, 11, 323, 1148, 311, 12192, 30, 12623, 11, 433, 374, 912, 1023, 3780, 1167, 411, 442, 710, 912, 22866, 311, 2567, 459, 2723, 379, 4845, 0, 1115, 374, 279, 1167, 411, 442, 710, 2463, 4853, 315, 420, 3566, 13, 69102, 8267, 315, 14812, 7658, 12716, 430, 1317, 7795, 13, 1442, 810, 374, 1694, 1095, 304, 701, 13200, 449, 1167, 411, 442, 710, 1109, 279, 3196, 68834, 2254, 15653, 31889, 11, 912, 1070, 374, 264, 88170, 5064, 430, 1070, 374, 264, 1537, 2763, 369, 701, 1938, 304, 420, 2626, 627, 2675, 690, 40498, 2731, 315, 1521, 52140, 389, 1148, 92732, 264, 1314, 5326, 4901, 11, 422, 499, 3350, 709, 369, 6201, 13, 1219, 2972, 387, 3674, 279, 6136, 499, 3974, 374, 8267, 11, 311, 279, 2363, 323, 6944, 701, 1732, 1440, 459, 1695, 5333, 5015, 13, 1102, 374, 922, 539, 3411, 1124, 2019, 459, 7782, 1167, 411, 442, 710, 11, 477, 4495, 1063, 1167, 411, 442, 710, 19660, 4853, 13, 1952, 264, 4261, 477, 8863, 3430, 11, 499, 690, 2288, 7073, 6261, 449, 912, 1920, 22695, 13, 1628, 2187, 1124, 449, 757, 13, 1666, 264, 1167, 411, 442, 710, 1167, 39114, 3430, 11, 499, 527, 45179, 439, 459, 6425, 1296, 627, 2181, 6944, 1243, 1005, 430, 1120, 279, 17850, 18251, 54720, 481, 430, 706, 1027, 16625, 304, 279, 1920, 11, 323, 27548, 1176, 2949, 279, 12786, 8188, 13, 4314, 3966, 1167, 411, 442, 710, 296, 3524, 72, 1167, 85712, 499, 1457, 2663, 304, 31760, 11, 499, 649, 2216, 4128, 7155, 13, 578, 1888, 2463, 39114, 1167, 411, 442, 710, 922, 420, 33859, 374, 279, 58909, 315, 2349, 430, 374, 29085, 323, 1202, 2162, 311, 1205, 499, 311, 6904, 311, 1772, 4497, 5992, 13, 2435, 6267, 459, 5211, 315, 3778, 8522, 505, 279, 1403, 6462, 13306, 13, 362, 11897, 690, 14532, 264, 33247, 8276, 323, 38522, 311, 3493, 7658, 311, 1456, 369, 264, 37030, 29331, 311, 1427, 872, 3028, 1022, 315, 279, 2802, 13, 1442, 814, 1511, 499, 482, 11857, 1124, 1633, 13, 578, 5578, 13200, 1167, 411, 442, 710, 9021, 527, 539, 810, 12020, 323, 690, 387, 2294, 369, 8162, 17144, 311, 1376, 872, 19424, 369, 8051, 1070, 527, 2753, 7446, 3445, 369, 1124, 13, 578, 1167, 411, 442, 710, 19660, 4853, 315, 1167, 411, 442, 710, 65308, 8535, 3185, 6372, 311, 25896, 8964, 1405, 7493, 527, 3970, 11, 323, 6506, 369, 22651, 11, 3392, 323, 25074, 1288, 99981, 311, 4560, 13, 1442, 499, 617, 264, 29827, 45964, 30020, 23537, 1167, 411, 442, 710, 6514, 11, 1440, 311, 1304, 279, 13116, 13, 25531, 323, 264, 9235, 9647, 315, 65004, 11, 459, 77235, 555, 279, 6500, 315, 46268, 729, 2231, 43395, 36126, 3939, 505, 682, 33547, 22733, 13, 2057, 757, 11, 279, 15438, 1403, 374, 5933, 315, 279, 1167, 411, 442, 710, 2463, 4853, 5623, 11, 3582, 433, 374, 1690, 304, 279, 1167, 411, 442, 710, 48739, 220, 5154, 14060, 315, 279, 4330, 5789, 627, 24798, 10631, 323, 6959, 315, 4470, 30438, 13, 21663, 315, 12899, 20914, 482, 3600, 323, 50184, 315, 12152, 40260, 1268, 311, 1935, 1167, 411, 442, 710, 1253, 3063, 279, 62730, 323, 1167, 411, 442, 710, 13, 18242, 432, 13, 8012, 41445, 1789, 5655, 315, 603, 11, 584, 20874, 264, 3062, 6691, 5812, 389, 279, 8717, 584, 656, 13, 3658, 3268, 2997, 264, 75220, 7160, 649, 18056, 387, 9124, 994, 18054, 264, 4228, 11, 3938, 3495, 627, 3947, 527, 18845, 323, 1940, 988, 315, 13016, 21363, 2212, 323, 7172, 13200, 1418, 4737, 1167, 411, 442, 710, 1667, 323, 21787, 11, 323, 311, 1148, 3814, 30, 2030, 499, 3596, 5371, 279, 734, 311, 4822, 701, 3956, 505, 279, 6574, 266, 13, 2435, 1205, 14393, 709, 11, 323, 439, 814, 1440, 2216, 11, 12310, 315, 1124, 3085, 872, 54557, 1167, 411, 442, 710, 523, 24705, 88, 32106, 13, 1283, 12992, 10671, 17680, 22012, 304, 2204, 1667, 430, 912, 220, 1041, 46095, 374, 69239, 1113, 627, 69404, 369, 9002, 3115, 520, 1890, 9021, 4999, 1423, 520, 1403, 5220, 315, 4967, 374, 32862, 459, 19463, 13, 358, 1097, 3815, 922, 1023, 2678, 1034, 430, 5039, 603, 1203, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053 ]
1,054
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 43608, 2082, 25851, 198, 5223, 62, 15, 25, 87063, 674, 18304, 11569, 11223, 304, 420, 6958, 1715, 2904, 12, 6247, 25851, 520, 41810, 574, 6656, 1022, 369, 264, 2478, 4038, 11, 779, 304, 420, 8743, 1193, 2082, 25851, 374, 9435, 320, 576, 8743, 374, 5552, 311, 3788, 1129, 5316, 916, 14, 2629, 19, 73, 14, 2629, 19, 73, 4420, 620, 14, 19869, 323, 3788, 1129, 5316, 916, 14, 2629, 19, 73, 14, 2629, 19, 73, 4420, 620, 14, 10961, 7377, 12, 510, 2331, 3779, 459, 4441, 311, 279, 38223, 4778, 3857, 315, 1595, 2198, 71894, 22030, 4077, 27, 11407, 18104, 29, 5223, 62, 15, 25, 3216, 13, 1115, 8743, 374, 8748, 927, 220, 17, 4038, 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 ]
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 43608, 2082, 25851, 198, 5223, 62, 15, 25, 87063, 674, 18304, 11569, 11223, 304, 420, 6958, 1715, 2904, 12, 6247, 25851, 520, 41810, 574, 6656, 1022, 369, 264, 2478, 4038, 11, 779, 304, 420, 8743, 1193, 2082, 25851, 374, 9435, 320, 576, 8743, 374, 5552, 311, 3788, 1129, 5316, 916, 14, 2629, 19, 73, 14, 2629, 19, 73, 4420, 620, 14, 19869, 323, 3788, 1129, 5316, 916, 14, 2629, 19, 73, 14, 2629, 19, 73, 4420, 620, 14, 10961, 7377, 12, 510, 2331, 3779, 459, 4441, 311, 279, 38223, 4778, 3857, 315, 1595, 2198, 71894, 22030, 4077, 27, 11407, 18104, 29, 5223, 62, 15, 25, 3216, 13, 1115, 8743, 374, 8748, 927, 220, 17, 4038, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125 ]
126
[ 128000, 22646, 329, 753, 7274, 449, 5064, 69475, 7528, 11, 5557, 323, 34102, 6721, 45063, 872, 26793, 11, 39686, 1268, 264, 6996, 315, 7528, 7512, 374, 28987, 872, 9873, 323, 67908, 1148, 814, 527, 3815, 311, 9504, 323, 14389, 1948, 11005, 627, 10086, 704, 922, 279, 55867, 6617, 9873, 3663, 994, 4560, 311, 1505, 279, 1314, 7512, 627, 2028, 58610, 41424, 3508, 10151, 67276, 527, 10168, 11351, 1203, 505, 872, 7528, 18475, 28271, 13, 1102, 22020, 1405, 279, 1510, 2875, 33695, 527, 11, 279, 3488, 311, 39500, 477, 539, 311, 39500, 323, 5616, 52956, 389, 1268, 311, 1893, 279, 1314, 4676, 369, 1948, 27087, 11005, 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 ]
[ 128000, 22646, 329, 753, 7274, 449, 5064, 69475, 7528, 11, 5557, 323, 34102, 6721, 45063, 872, 26793, 11, 39686, 1268, 264, 6996, 315, 7528, 7512, 374, 28987, 872, 9873, 323, 67908, 1148, 814, 527, 3815, 311, 9504, 323, 14389, 1948, 11005, 627, 10086, 704, 922, 279, 55867, 6617, 9873, 3663, 994, 4560, 311, 1505, 279, 1314, 7512, 627, 2028, 58610, 41424, 3508, 10151, 67276, 527, 10168, 11351, 1203, 505, 872, 7528, 18475, 28271, 13, 1102, 22020, 1405, 279, 1510, 2875, 33695, 527, 11, 279, 3488, 311, 39500, 477, 539, 311, 39500, 323, 5616, 52956, 389, 1268, 311, 1893, 279, 1314, 4676, 369, 1948, 27087, 11005, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106 ]
107
[ 128000, 1966, 279, 220, 5067, 2565, 315, 4987, 43922, 16381, 304, 19441, 10780, 11, 35727, 473, 3171, 5794, 11, 264, 220, 3971, 4771, 6418, 659, 88984, 29349, 11, 15203, 704, 315, 264, 31744, 2035, 389, 47033, 753, 11035, 1418, 43468, 279, 502, 59519, 389, 813, 33271, 430, 1373, 25, 1054, 40, 16626, 11, 1550, 499, 12671, 198, 42298, 6821, 505, 279, 8925, 315, 58601, 12090, 430, 1455, 10780, 11969, 1550, 539, 6445, 264, 26938, 304, 279, 18526, 6355, 11, 449, 8530, 17162, 1109, 220, 966, 3346, 9204, 709, 311, 5268, 279, 1828, 17352, 315, 279, 3363, 627, 32, 3335, 220, 975, 11426, 1051, 4401, 369, 17352, 315, 5270, 753, 4948, 7928, 3363, 627, 39, 3171, 5794, 1071, 568, 16388, 264, 14992, 9322, 374, 16689, 17352, 26, 4423, 449, 810, 23053, 6325, 323, 6848, 369, 264, 3363, 430, 13912, 3339, 5426, 3754, 369, 1202, 9977, 323, 4379, 21948, 13, 473, 3171, 5794, 374, 1101, 5128, 2771, 279, 6355, 690, 2586, 1523, 311, 1063, 315, 279, 1455, 66352, 5144, 389, 279, 26938, 627, 11874, 9860, 51382, 22868, 33348, 76, 77760, 6773, 539, 311, 1629, 369, 93811, 11, 9564, 279, 7102, 7029, 1825, 369, 9749, 11426, 1778, 439, 90402, 5075, 377, 86, 36244, 11, 279, 4872, 315, 279, 12797, 6406, 8925, 11, 323, 52614, 37038, 8766, 37828, 88, 11, 889, 374, 961, 315, 279, 67946, 430, 706, 21989, 10780, 1234, 813, 10868, 323, 7126, 13, 9086, 77760, 11, 8766, 37828, 88, 574, 4900, 24448, 7250, 753, 10388, 315, 5687, 323, 574, 31480, 12667, 1234, 8766, 8283, 13, 5075, 377, 86, 36244, 374, 832, 315, 4848, 3776, 11426, 304, 279, 7102, 369, 17352, 627, 52, 418, 785, 19504, 29793, 42087, 21575, 11, 220, 1958, 11, 1071, 279, 33638, 1396, 315, 11426, 369, 17352, 1304, 433, 2653, 311, 1304, 264, 5597, 627, 2118, 12805, 358, 74035, 1523, 279, 7463, 430, 358, 574, 3411, 520, 311, 1093, 279, 1948, 8254, 1274, 477, 2753, 11, 1243, 433, 6244, 1790, 8831, 2476, 42087, 21575, 1071, 13, 1054, 2181, 4805, 4762, 842, 709, 1990, 1403, 1274, 3515, 311, 617, 264, 1629, 12744, 49216, 32, 1629, 12744, 690, 12446, 422, 7000, 315, 279, 11426, 5819, 1439, 810, 1109, 220, 1135, 3346, 315, 279, 12973, 13, 578, 3284, 1629, 12744, 6355, 1053, 1935, 2035, 389, 5936, 220, 17, 11, 7231, 11969, 810, 892, 311, 10491, 889, 814, 1390, 439, 872, 17352, 627, 2118, 29132, 220, 975, 11426, 374, 5128, 11292, 11, 719, 499, 1120, 617, 311, 656, 701, 3495, 2476, 90983, 1071, 627, 644, 5369, 311, 279, 17352, 753, 7102, 11, 220, 6330, 11426, 1051, 348, 7169, 369, 264, 10954, 389, 4409, 9251, 13, 5046, 10780, 753, 220, 1135, 468, 2402, 11, 1193, 3116, 1051, 71093, 10185, 11, 7438, 279, 51382, 453, 1126, 1543, 374, 4401, 653, 454, 3950, 13, 31447, 60258, 8854, 3116, 4771, 3878, 13, 83822, 1101, 1051, 4135, 287, 264, 3363, 45357, 323, 96491, 627, 2654, 7414, 69005, 11, 264, 220, 2614, 4771, 6418, 22311, 19504, 315, 279, 47033, 753, 11035, 12818, 11, 1071, 1364, 574, 25406, 77760, 3287, 1431, 1629, 369, 2500, 4751, 439, 17352, 627, 10378, 3463, 568, 1053, 617, 1027, 1695, 2476, 1364, 1071, 13, 1054, 1548, 753, 2884, 1063, 1695, 2574, 13, 358, 8101, 568, 753, 93941, 709, 304, 1063, 34707, 2574, 13, 358, 4344, 14931, 568, 753, 539, 4401, 11, 719, 23127, 584, 4805, 636, 1063, 502, 6680, 11, 1063, 502, 6848, 11, 1063, 2753, 85073, 13878, 304, 3363, 3109, 49216, 42465, 4409, 11166, 11, 3842, 87485, 11, 220, 3226, 11, 264, 46209, 10758, 31760, 323, 4846, 23672, 574, 52588, 704, 86108, 369, 9322, 7043, 650, 16242, 11, 4846, 10388, 11145, 9640, 315, 10780, 3142, 31483, 627, 10378, 4510, 39371, 279, 502, 17352, 374, 11, 814, 1205, 311, 636, 279, 3363, 753, 40382, 1234, 2585, 2476, 87485, 1071, 13, 1054, 7009, 1205, 311, 636, 433, 3201, 505, 36707, 13, 2435, 4805, 617, 311, 636, 264, 3790, 389, 279, 17936, 9977, 323, 59816, 279, 7100, 68603, 315, 279, 9333, 323, 66281, 10977, 315, 279, 3363, 49216, 48527, 268, 1101, 10555, 430, 279, 6355, 1436, 387, 264, 13353, 1486, 369, 279, 3363, 304, 279, 5647, 430, 10780, 1436, 636, 3201, 505, 279, 1054, 49, 1494, 76, 77760, 5780, 863, 430, 706, 14400, 279, 3363, 369, 220, 966, 1667, 627, 99083, 358, 1440, 374, 430, 584, 1205, 4423, 1790, 2204, 304, 2410, 311, 617, 904, 3987, 315, 10223, 2574, 2212, 2476, 87485, 1071, 627, 11874, 315, 279, 1401, 4819, 304, 279, 3297, 10020, 26838, 5891, 8905, 2212, 15180, 287, 279, 586, 2978, 1887, 323, 28118, 9977, 13, 10780, 753, 4846, 10289, 68984, 11, 24765, 45040, 11, 574, 389, 279, 26938, 3235, 449, 82185, 8828, 5447, 11, 4846, 4872, 315, 279, 10780, 10289, 8925, 627, 2118, 15546, 2099, 279, 502, 17352, 374, 1288, 5357, 389, 4379, 39242, 323, 10780, 3142, 31483, 2476, 1071, 54651, 90983, 11, 264, 220, 966, 4771, 6418, 46209, 29867, 13, 1054, 40, 16626, 369, 279, 1732, 889, 358, 4510, 1053, 1304, 1884, 4819, 872, 10844, 49216, 644, 76495, 41234, 11, 279, 82835, 323, 5951, 18417, 1051, 9960, 304, 39568, 369, 29865, 1253, 10020, 11426, 627, 76637, 32749, 63524, 11, 264, 220, 2970, 4771, 6418, 5575, 520, 24980, 9304, 323, 3838, 19393, 11, 1071, 279, 502, 17352, 706, 311, 2686, 279, 9349, 304, 279, 3363, 13, 578, 3544, 1396, 315, 11426, 315, 1933, 304, 279, 7102, 3287, 1431, 10098, 1077, 627, 2118, 10156, 1606, 814, 3207, 3776, 11, 3250, 1431, 3152, 814, 617, 1057, 1888, 2802, 2476, 1364, 1071, 627, 11663, 11969, 1071, 14740, 574, 264, 2466, 4360, 369, 1124, 13, 60867, 11755, 10690, 11, 220, 2148, 11, 4375, 439, 459, 47210, 4562, 369, 279, 7658, 303, 1604, 9052, 25705, 5955, 11, 264, 2068, 430, 11705, 14740, 10708, 369, 520, 46570, 3995, 3026, 627, 2118, 5479, 30601, 369, 279, 17352, 690, 387, 11, 358, 1053, 2019, 11, 14740, 369, 279, 49989, 323, 369, 1274, 449, 81014, 552, 1981, 323, 810, 6873, 2671, 369, 36256, 8853, 11, 1579, 8853, 11, 439, 3117, 439, 810, 8853, 8736, 304, 279, 33100, 4619, 315, 15676, 1124, 1523, 2476, 10690, 1071, 627, 2520, 10690, 11, 279, 7029, 8205, 315, 11426, 574, 264, 6555, 2349, 311, 279, 6355, 1920, 13, 3005, 1071, 1070, 527, 6118, 1193, 1403, 477, 2380, 2671, 304, 279, 6355, 11, 719, 449, 810, 8205, 11, 1070, 374, 264, 7191, 6140, 311, 1505, 279, 9322, 430, 690, 1304, 6928, 2349, 13, 1054, 40, 1781, 433, 753, 1695, 430, 433, 753, 264, 2763, 315, 1274, 4401, 369, 17352, 6355, 11, 358, 1120, 3987, 430, 584, 3820, 279, 1314, 832, 49216, 36, 54895, 21293, 11, 12656, 52951, 11, 15341, 39216, 16833, 11, 2209, 72690, 34362, 454, 29752, 11, 15341, 50990, 96960, 11, 36035, 4584, 678, 68, 11, 31663, 27495, 386, 7439, 11, 426, 63727, 8613, 3457, 11, 56578, 93383, 11, 71028, 2727, 268, 1229, 1494, 70545, 11, 71028, 2727, 268, 3005, 1609, 1494, 323, 86216, 2727, 268, 64055, 77, 20162, 311, 420, 1934, 627, 3513, 5629, 311, 12535, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1966, 279, 220, 5067, 2565, 315, 4987, 43922, 16381, 304, 19441, 10780, 11, 35727, 473, 3171, 5794, 11, 264, 220, 3971, 4771, 6418, 659, 88984, 29349, 11, 15203, 704, 315, 264, 31744, 2035, 389, 47033, 753, 11035, 1418, 43468, 279, 502, 59519, 389, 813, 33271, 430, 1373, 25, 1054, 40, 16626, 11, 1550, 499, 12671, 198, 42298, 6821, 505, 279, 8925, 315, 58601, 12090, 430, 1455, 10780, 11969, 1550, 539, 6445, 264, 26938, 304, 279, 18526, 6355, 11, 449, 8530, 17162, 1109, 220, 966, 3346, 9204, 709, 311, 5268, 279, 1828, 17352, 315, 279, 3363, 627, 32, 3335, 220, 975, 11426, 1051, 4401, 369, 17352, 315, 5270, 753, 4948, 7928, 3363, 627, 39, 3171, 5794, 1071, 568, 16388, 264, 14992, 9322, 374, 16689, 17352, 26, 4423, 449, 810, 23053, 6325, 323, 6848, 369, 264, 3363, 430, 13912, 3339, 5426, 3754, 369, 1202, 9977, 323, 4379, 21948, 13, 473, 3171, 5794, 374, 1101, 5128, 2771, 279, 6355, 690, 2586, 1523, 311, 1063, 315, 279, 1455, 66352, 5144, 389, 279, 26938, 627, 11874, 9860, 51382, 22868, 33348, 76, 77760, 6773, 539, 311, 1629, 369, 93811, 11, 9564, 279, 7102, 7029, 1825, 369, 9749, 11426, 1778, 439, 90402, 5075, 377, 86, 36244, 11, 279, 4872, 315, 279, 12797, 6406, 8925, 11, 323, 52614, 37038, 8766, 37828, 88, 11, 889, 374, 961, 315, 279, 67946, 430, 706, 21989, 10780, 1234, 813, 10868, 323, 7126, 13, 9086, 77760, 11, 8766, 37828, 88, 574, 4900, 24448, 7250, 753, 10388, 315, 5687, 323, 574, 31480, 12667, 1234, 8766, 8283, 13, 5075, 377, 86, 36244, 374, 832, 315, 4848, 3776, 11426, 304, 279, 7102, 369, 17352, 627, 52, 418, 785, 19504, 29793, 42087, 21575, 11, 220, 1958, 11, 1071, 279, 33638, 1396, 315, 11426, 369, 17352, 1304, 433, 2653, 311, 1304, 264, 5597, 627, 2118, 12805, 358, 74035, 1523, 279, 7463, 430, 358, 574, 3411, 520, 311, 1093, 279, 1948, 8254, 1274, 477, 2753, 11, 1243, 433, 6244, 1790, 8831, 2476, 42087, 21575, 1071, 13, 1054, 2181, 4805, 4762, 842, 709, 1990, 1403, 1274, 3515, 311, 617, 264, 1629, 12744, 49216, 32, 1629, 12744, 690, 12446, 422, 7000, 315, 279, 11426, 5819, 1439, 810, 1109, 220, 1135, 3346, 315, 279, 12973, 13, 578, 3284, 1629, 12744, 6355, 1053, 1935, 2035, 389, 5936, 220, 17, 11, 7231, 11969, 810, 892, 311, 10491, 889, 814, 1390, 439, 872, 17352, 627, 2118, 29132, 220, 975, 11426, 374, 5128, 11292, 11, 719, 499, 1120, 617, 311, 656, 701, 3495, 2476, 90983, 1071, 627, 644, 5369, 311, 279, 17352, 753, 7102, 11, 220, 6330, 11426, 1051, 348, 7169, 369, 264, 10954, 389, 4409, 9251, 13, 5046, 10780, 753, 220, 1135, 468, 2402, 11, 1193, 3116, 1051, 71093, 10185, 11, 7438, 279, 51382, 453, 1126, 1543, 374, 4401, 653, 454, 3950, 13, 31447, 60258, 8854, 3116, 4771, 3878, 13, 83822, 1101, 1051, 4135, 287, 264, 3363, 45357, 323, 96491, 627, 2654, 7414, 69005, 11, 264, 220, 2614, 4771, 6418, 22311, 19504, 315, 279, 47033, 753, 11035, 12818, 11, 1071, 1364, 574, 25406, 77760, 3287, 1431, 1629, 369, 2500, 4751, 439, 17352, 627, 10378, 3463, 568, 1053, 617, 1027, 1695, 2476, 1364, 1071, 13, 1054, 1548, 753, 2884, 1063, 1695, 2574, 13, 358, 8101, 568, 753, 93941, 709, 304, 1063, 34707, 2574, 13, 358, 4344, 14931, 568, 753, 539, 4401, 11, 719, 23127, 584, 4805, 636, 1063, 502, 6680, 11, 1063, 502, 6848, 11, 1063, 2753, 85073, 13878, 304, 3363, 3109, 49216, 42465, 4409, 11166, 11, 3842, 87485, 11, 220, 3226, 11, 264, 46209, 10758, 31760, 323, 4846, 23672, 574, 52588, 704, 86108, 369, 9322, 7043, 650, 16242, 11, 4846, 10388, 11145, 9640, 315, 10780, 3142, 31483, 627, 10378, 4510, 39371, 279, 502, 17352, 374, 11, 814, 1205, 311, 636, 279, 3363, 753, 40382, 1234, 2585, 2476, 87485, 1071, 13, 1054, 7009, 1205, 311, 636, 433, 3201, 505, 36707, 13, 2435, 4805, 617, 311, 636, 264, 3790, 389, 279, 17936, 9977, 323, 59816, 279, 7100, 68603, 315, 279, 9333, 323, 66281, 10977, 315, 279, 3363, 49216, 48527, 268, 1101, 10555, 430, 279, 6355, 1436, 387, 264, 13353, 1486, 369, 279, 3363, 304, 279, 5647, 430, 10780, 1436, 636, 3201, 505, 279, 1054, 49, 1494, 76, 77760, 5780, 863, 430, 706, 14400, 279, 3363, 369, 220, 966, 1667, 627, 99083, 358, 1440, 374, 430, 584, 1205, 4423, 1790, 2204, 304, 2410, 311, 617, 904, 3987, 315, 10223, 2574, 2212, 2476, 87485, 1071, 627, 11874, 315, 279, 1401, 4819, 304, 279, 3297, 10020, 26838, 5891, 8905, 2212, 15180, 287, 279, 586, 2978, 1887, 323, 28118, 9977, 13, 10780, 753, 4846, 10289, 68984, 11, 24765, 45040, 11, 574, 389, 279, 26938, 3235, 449, 82185, 8828, 5447, 11, 4846, 4872, 315, 279, 10780, 10289, 8925, 627, 2118, 15546, 2099, 279, 502, 17352, 374, 1288, 5357, 389, 4379, 39242, 323, 10780, 3142, 31483, 2476, 1071, 54651, 90983, 11, 264, 220, 966, 4771, 6418, 46209, 29867, 13, 1054, 40, 16626, 369, 279, 1732, 889, 358, 4510, 1053, 1304, 1884, 4819, 872, 10844, 49216, 644, 76495, 41234, 11, 279, 82835, 323, 5951, 18417, 1051, 9960, 304, 39568, 369, 29865, 1253, 10020, 11426, 627, 76637, 32749, 63524, 11, 264, 220, 2970, 4771, 6418, 5575, 520, 24980, 9304, 323, 3838, 19393, 11, 1071, 279, 502, 17352, 706, 311, 2686, 279, 9349, 304, 279, 3363, 13, 578, 3544, 1396, 315, 11426, 315, 1933, 304, 279, 7102, 3287, 1431, 10098, 1077, 627, 2118, 10156, 1606, 814, 3207, 3776, 11, 3250, 1431, 3152, 814, 617, 1057, 1888, 2802, 2476, 1364, 1071, 627, 11663, 11969, 1071, 14740, 574, 264, 2466, 4360, 369, 1124, 13, 60867, 11755, 10690, 11, 220, 2148, 11, 4375, 439, 459, 47210, 4562, 369, 279, 7658, 303, 1604, 9052, 25705, 5955, 11, 264, 2068, 430, 11705, 14740, 10708, 369, 520, 46570, 3995, 3026, 627, 2118, 5479, 30601, 369, 279, 17352, 690, 387, 11, 358, 1053, 2019, 11, 14740, 369, 279, 49989, 323, 369, 1274, 449, 81014, 552, 1981, 323, 810, 6873, 2671, 369, 36256, 8853, 11, 1579, 8853, 11, 439, 3117, 439, 810, 8853, 8736, 304, 279, 33100, 4619, 315, 15676, 1124, 1523, 2476, 10690, 1071, 627, 2520, 10690, 11, 279, 7029, 8205, 315, 11426, 574, 264, 6555, 2349, 311, 279, 6355, 1920, 13, 3005, 1071, 1070, 527, 6118, 1193, 1403, 477, 2380, 2671, 304, 279, 6355, 11, 719, 449, 810, 8205, 11, 1070, 374, 264, 7191, 6140, 311, 1505, 279, 9322, 430, 690, 1304, 6928, 2349, 13, 1054, 40, 1781, 433, 753, 1695, 430, 433, 753, 264, 2763, 315, 1274, 4401, 369, 17352, 6355, 11, 358, 1120, 3987, 430, 584, 3820, 279, 1314, 832, 49216, 36, 54895, 21293, 11, 12656, 52951, 11, 15341, 39216, 16833, 11, 2209, 72690, 34362, 454, 29752, 11, 15341, 50990, 96960, 11, 36035, 4584, 678, 68, 11, 31663, 27495, 386, 7439, 11, 426, 63727, 8613, 3457, 11, 56578, 93383, 11, 71028, 2727, 268, 1229, 1494, 70545, 11, 71028, 2727, 268, 3005, 1609, 1494, 323, 86216, 2727, 268, 64055, 77, 20162, 311, 420, 1934, 627, 3513, 5629, 311, 12535, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149 ]
1,150
[ 128000, 1548, 596, 264, 25328, 220, 16, 2851, 430, 374, 2307, 19738, 499, 1518, 1461, 14134, 304, 14539, 596, 323, 578, 68489, 4054, 596, 23914, 323, 568, 3060, 1587, 9193, 1664, 477, 568, 35496, 2653, 13, 578, 2944, 3249, 568, 596, 2663, 578, 30343, 19393, 374, 1606, 15716, 264, 25328, 220, 16, 2851, 374, 709, 369, 2773, 437, 311, 87583, 814, 2744, 636, 18545, 709, 449, 19797, 1729, 4912, 3508, 568, 374, 389, 872, 2128, 477, 279, 9354, 2128, 568, 374, 2744, 304, 279, 2489, 994, 4423, 374, 709, 369, 2773, 437, 311, 87583, 323, 11911, 389, 1268, 568, 27772, 27667, 43146, 92455, 3508, 477, 539, 4423, 5334, 1139, 87583, 13, 14636, 813, 2316, 11, 578, 30343, 19393, 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 ]
[ 128000, 1548, 596, 264, 25328, 220, 16, 2851, 430, 374, 2307, 19738, 499, 1518, 1461, 14134, 304, 14539, 596, 323, 578, 68489, 4054, 596, 23914, 323, 568, 3060, 1587, 9193, 1664, 477, 568, 35496, 2653, 13, 578, 2944, 3249, 568, 596, 2663, 578, 30343, 19393, 374, 1606, 15716, 264, 25328, 220, 16, 2851, 374, 709, 369, 2773, 437, 311, 87583, 814, 2744, 636, 18545, 709, 449, 19797, 1729, 4912, 3508, 568, 374, 389, 872, 2128, 477, 279, 9354, 2128, 568, 374, 2744, 304, 279, 2489, 994, 4423, 374, 709, 369, 2773, 437, 311, 87583, 323, 11911, 389, 1268, 568, 27772, 27667, 43146, 92455, 3508, 477, 539, 4423, 5334, 1139, 87583, 13, 14636, 813, 2316, 11, 578, 30343, 19393, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ]
120
[ 128000, 4599, 433, 4131, 311, 8541, 15680, 304, 279, 2911, 43741, 11401, 2626, 11, 7967, 4782, 83453, 29095, 22225, 374, 832, 315, 279, 9382, 311, 836, 13, 7357, 3280, 814, 1893, 18330, 502, 15661, 13, 2030, 433, 682, 4131, 449, 264, 3430, 13, 21347, 779, 11782, 323, 25429, 922, 30829, 15661, 430, 3371, 13548, 7493, 449, 279, 4221, 315, 2911, 11, 2539, 315, 2523, 323, 58469, 11, 279, 3048, 4719, 527, 1120, 8748, 2212, 279, 9309, 311, 8935, 505, 872, 24674, 9404, 13, 1789, 1667, 1457, 7967, 4782, 83453, 29095, 374, 11039, 2403, 12079, 11236, 315, 872, 6883, 304, 2204, 5961, 13, 2360, 832, 6944, 872, 990, 311, 387, 44092, 12744, 719, 3048, 38552, 12515, 33488, 78, 921, 20274, 574, 9405, 304, 220, 1049, 23, 449, 279, 4623, 315, 6968, 264, 17895, 6883, 430, 1436, 12602, 279, 24632, 11, 25429, 1427, 323, 4221, 315, 2911, 13, 11205, 1176, 4526, 11, 42774, 2695, 2295, 220, 1049, 24, 574, 7946, 4036, 555, 2225, 586, 323, 3772, 13, 8876, 1243, 11, 872, 6650, 706, 1027, 6926, 25, 872, 67556, 527, 1903, 24392, 304, 18157, 13, 14596, 78, 921, 20274, 374, 7559, 304, 386, 6526, 1832, 11, 555, 279, 38785, 15379, 11, 922, 27219, 8931, 505, 279, 6366, 3363, 315, 28035, 627, 93077, 8083, 11, 29888, 287, 36824, 11777, 323, 39515, 1962, 1534, 50940, 627, 1729, 14596, 78, 921, 20274, 529, 2955, 2128, 13, 1789, 420, 4526, 814, 527, 1101, 1701, 502, 6160, 536, 78130, 12466, 18381, 902, 96630, 304, 2380, 1667, 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 ]
[ 128000, 4599, 433, 4131, 311, 8541, 15680, 304, 279, 2911, 43741, 11401, 2626, 11, 7967, 4782, 83453, 29095, 22225, 374, 832, 315, 279, 9382, 311, 836, 13, 7357, 3280, 814, 1893, 18330, 502, 15661, 13, 2030, 433, 682, 4131, 449, 264, 3430, 13, 21347, 779, 11782, 323, 25429, 922, 30829, 15661, 430, 3371, 13548, 7493, 449, 279, 4221, 315, 2911, 11, 2539, 315, 2523, 323, 58469, 11, 279, 3048, 4719, 527, 1120, 8748, 2212, 279, 9309, 311, 8935, 505, 872, 24674, 9404, 13, 1789, 1667, 1457, 7967, 4782, 83453, 29095, 374, 11039, 2403, 12079, 11236, 315, 872, 6883, 304, 2204, 5961, 13, 2360, 832, 6944, 872, 990, 311, 387, 44092, 12744, 719, 3048, 38552, 12515, 33488, 78, 921, 20274, 574, 9405, 304, 220, 1049, 23, 449, 279, 4623, 315, 6968, 264, 17895, 6883, 430, 1436, 12602, 279, 24632, 11, 25429, 1427, 323, 4221, 315, 2911, 13, 11205, 1176, 4526, 11, 42774, 2695, 2295, 220, 1049, 24, 574, 7946, 4036, 555, 2225, 586, 323, 3772, 13, 8876, 1243, 11, 872, 6650, 706, 1027, 6926, 25, 872, 67556, 527, 1903, 24392, 304, 18157, 13, 14596, 78, 921, 20274, 374, 7559, 304, 386, 6526, 1832, 11, 555, 279, 38785, 15379, 11, 922, 27219, 8931, 505, 279, 6366, 3363, 315, 28035, 627, 93077, 8083, 11, 29888, 287, 36824, 11777, 323, 39515, 1962, 1534, 50940, 627, 1729, 14596, 78, 921, 20274, 529, 2955, 2128, 13, 1789, 420, 4526, 814, 527, 1101, 1701, 502, 6160, 536, 78130, 12466, 18381, 902, 96630, 304, 2380, 1667, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249 ]
250
[ 128000, 14336, 1676, 8233, 0, 362, 425, 88, 5634, 503, 5418, 0, 13182, 71830, 326, 12748, 47151, 529, 320, 46, 9188, 0, 4418, 1431, 733, 8469, 0, 2684, 753, 264, 2917, 71830, 16715, 362, 1664, 84096, 287, 83483, 261, 56177, 520, 279, 14403, 1543, 19946, 311, 6424, 13, 3451, 84068, 1658, 84, 30, 735, 22826, 326, 12748, 47151, 30, 4802, 352, 409, 31764, 3458, 47151, 72434, 320, 17119, 71830, 30, 11208, 30, 358, 2011, 1518, 433, 72434, 8, 22559, 291, 279, 4382, 783, 13, 3451, 84068, 1658, 84, 529, 2011, 387, 264, 502, 4632, 13, 2582, 779, 568, 3463, 13, 220, 18, 23527, 6250, 220, 2550, 19, 13, 1102, 574, 279, 6693, 1306, 279, 1938, 1603, 13, 90454, 9110, 856, 4333, 11, 5496, 304, 16071, 657, 363, 18787, 11, 7953, 8351, 20287, 71, 11, 12756, 41747, 315, 279, 5444, 708, 30303, 435, 6322, 1047, 743, 704, 389, 813, 6693, 69983, 13, 2052, 279, 20021, 1051, 8036, 13, 2030, 568, 22954, 5678, 433, 2011, 387, 7418, 13, 1628, 568, 4024, 3347, 459, 88940, 22881, 304, 11896, 75058, 74, 11, 5605, 25, 3451, 88329, 2585, 529, 18925, 2270, 520, 279, 735, 14390, 727, 11, 568, 15393, 8530, 568, 1047, 78549, 1022, 810, 1109, 568, 1436, 37433, 13, 25681, 574, 5076, 13, 10926, 433, 574, 279, 8348, 3376, 753, 14113, 13, 1102, 574, 279, 5076, 12745, 13, 8595, 1051, 814, 12512, 279, 88068, 6437, 315, 279, 48090, 5703, 11994, 30, 97917, 11, 7422, 389, 813, 7693, 11, 1603, 814, 14000, 279, 35058, 304, 872, 35446, 11, 568, 37085, 291, 1139, 279, 5274, 315, 279, 8189, 44, 11717, 462, 2394, 77711, 86216, 8083, 13, 3011, 711, 83, 3351, 27528, 1403, 2917, 71830, 16609, 25, 832, 369, 1461, 323, 832, 369, 757, 13, 42494, 449, 1124, 11, 568, 23010, 4147, 1555, 279, 40964, 78680, 3536, 311, 17782, 520, 1057, 2162, 311, 3041, 757, 10175, 2360, 13, 17, 13, 9930, 499, 90454, 9110, 293, 26279, 0, 17586, 499, 420, 2759, 1053, 617, 1027, 264, 10321, 2199, 13, 19334, 2940, 11, 468, 771, 648, 11, 264, 8810, 37002, 6506, 3221, 328, 4010, 424, 783, 11, 45519, 709, 279, 23091, 311, 25586, 31396, 311, 387, 41782, 555, 264, 26483, 375, 315, 19738, 86219, 13, 3451, 9241, 656, 499, 1781, 499, 3207, 1022, 311, 45258, 4691, 832, 13, 3451, 2729, 369, 264, 6693, 31225, 72434, 3451, 1163, 278, 342, 13279, 0, 320, 11087, 2162, 16715, 529, 13358, 5795, 279, 893, 11, 53728, 95072, 398, 279, 5015, 449, 264, 9396, 13, 3451, 10445, 18046, 449, 264, 387, 7759, 91772, 46298, 6374, 45258, 568, 43457, 13, 3451, 40, 4024, 7833, 2162, 1193, 311, 3094, 704, 1403, 5672, 3010, 14639, 4740, 2380, 2919, 11, 449, 1063, 80664, 685, 315, 4725, 11377, 304, 279, 3805, 11, 279, 8735, 6773, 311, 12234, 279, 2917, 71830, 369, 1403, 4207, 13, 40155, 2212, 279, 32498, 11, 20021, 78881, 13, 11215, 11, 2911, 323, 2362, 3026, 296, 18033, 709, 2163, 29352, 19705, 11, 311, 5708, 872, 326, 569, 388, 13, 2030, 2555, 574, 1097, 1056, 13, 578, 3995, 3026, 1047, 8208, 7554, 13, 3451, 23958, 753, 50259, 72434, 3861, 31156, 13, 3451, 23958, 374, 17677, 0, 45258, 358, 1205, 539, 617, 18290, 13, 7648, 315, 1124, 1047, 19946, 7833, 369, 279, 43950, 1693, 27109, 1389, 264, 836, 430, 3782, 505, 279, 682, 2320, 651, 2277, 357, 20345, 315, 40335, 323, 13200, 1389, 264, 15376, 54050, 19157, 12092, 45989, 462, 4409, 11, 42009, 936, 220, 7285, 15, 2203, 70, 578, 26733, 30816, 315, 220, 2550, 19, 11680, 414, 426, 69438, 430, 34161, 279, 32498, 449, 69254, 753, 6984, 9728, 13, 2684, 814, 1051, 13, 445, 1619, 709, 304, 459, 85869, 7325, 8748, 872, 2543, 311, 934, 20345, 279, 50690, 315, 872, 2917, 71830, 59197, 7897, 60187, 1900, 13, 19334, 2940, 304, 68062, 28985, 10888, 11, 279, 20366, 14971, 28214, 2653, 13, 578, 3242, 13559, 1047, 311, 387, 11102, 13, 578, 328, 3852, 38767, 52022, 13279, 939, 8388, 12583, 477, 279, 30833, 5703, 10554, 11, 2663, 369, 264, 5444, 708, 30303, 16222, 2689, 331, 477, 264, 5587, 311, 5444, 708, 30303, 13, 578, 3197, 574, 4382, 25, 13766, 279, 2035, 11, 1464, 279, 2917, 71830, 11, 1457, 1139, 1202, 2132, 2046, 13, 220, 868, 339, 1073, 6250, 220, 2550, 19, 32126, 682, 20362, 315, 7710, 25, 34480, 11, 9048, 1824, 16182, 11, 90603, 11, 27861, 11, 77124, 323, 11731, 315, 682, 28887, 6376, 1022, 389, 279, 2380, 5603, 19795, 311, 279, 24898, 8216, 13, 5046, 1521, 2380, 11, 1403, 37260, 912, 3575, 13, 54673, 14836, 505, 1611, 116513, 359, 5015, 311, 264, 27365, 520, 735, 8942, 278, 30343, 13, 13266, 505, 60629, 354, 11, 452, 467, 21946, 71, 323, 22989, 1098, 64, 1051, 19857, 520, 279, 22881, 3221, 735, 3274, 13, 3451, 51, 16514, 279, 4948, 832, 3703, 265, 2785, 1523, 45989, 462, 9728, 430, 743, 17035, 61794, 68143, 439, 11758, 315, 89456, 505, 99378, 439, 735, 13722, 263, 11, 393, 4202, 72, 11, 45989, 462, 323, 68062, 847, 31478, 14760, 279, 1344, 5861, 88, 4379, 78680, 1037, 520, 45989, 462, 26, 7882, 389, 311, 921, 43008, 57520, 2500, 22881, 311, 13454, 279, 12627, 520, 423, 10118, 6312, 72, 13, 48275, 11684, 449, 810, 503, 9451, 814, 2751, 2949, 3116, 41668, 315, 21933, 6138, 13, 423, 33879, 58842, 13, 578, 4379, 1095, 279, 13734, 21818, 1555, 16488, 12748, 266, 11, 7833, 1139, 459, 80065, 4994, 279, 2978, 18618, 315, 12404, 13787, 13, 2057, 832, 3185, 312, 1636, 279, 7091, 3663, 315, 350, 2715, 783, 26, 389, 279, 1023, 379, 6513, 291, 264, 5655, 43643, 483, 3347, 72460, 285, 3536, 13, 2684, 574, 912, 12731, 13, 362, 28860, 326, 67631, 12, 6900, 57520, 11731, 323, 56467, 29592, 15909, 11, 20806, 20784, 264, 31402, 315, 8818, 13, 25929, 1938, 51801, 14993, 311, 3041, 279, 10672, 264, 836, 13, 2030, 18506, 374, 11, 520, 1888, 11, 264, 40666, 13036, 13, 1472, 1505, 433, 5370, 398, 7633, 439, 279, 5444, 708, 30303, 735, 2689, 331, 11, 279, 921, 43008, 5587, 477, 279, 16488, 12748, 266, 445, 67631, 12, 6900, 13, 1666, 358, 3350, 11, 304, 279, 11422, 38593, 342, 22732, 11, 499, 1505, 279, 10535, 523, 680, 278, 11, 264, 62490, 30077, 477, 264, 259, 22688, 559, 88548, 13, 2435, 7293, 279, 1193, 66697, 315, 430, 28860, 1938, 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 ]
[ 128000, 14336, 1676, 8233, 0, 362, 425, 88, 5634, 503, 5418, 0, 13182, 71830, 326, 12748, 47151, 529, 320, 46, 9188, 0, 4418, 1431, 733, 8469, 0, 2684, 753, 264, 2917, 71830, 16715, 362, 1664, 84096, 287, 83483, 261, 56177, 520, 279, 14403, 1543, 19946, 311, 6424, 13, 3451, 84068, 1658, 84, 30, 735, 22826, 326, 12748, 47151, 30, 4802, 352, 409, 31764, 3458, 47151, 72434, 320, 17119, 71830, 30, 11208, 30, 358, 2011, 1518, 433, 72434, 8, 22559, 291, 279, 4382, 783, 13, 3451, 84068, 1658, 84, 529, 2011, 387, 264, 502, 4632, 13, 2582, 779, 568, 3463, 13, 220, 18, 23527, 6250, 220, 2550, 19, 13, 1102, 574, 279, 6693, 1306, 279, 1938, 1603, 13, 90454, 9110, 856, 4333, 11, 5496, 304, 16071, 657, 363, 18787, 11, 7953, 8351, 20287, 71, 11, 12756, 41747, 315, 279, 5444, 708, 30303, 435, 6322, 1047, 743, 704, 389, 813, 6693, 69983, 13, 2052, 279, 20021, 1051, 8036, 13, 2030, 568, 22954, 5678, 433, 2011, 387, 7418, 13, 1628, 568, 4024, 3347, 459, 88940, 22881, 304, 11896, 75058, 74, 11, 5605, 25, 3451, 88329, 2585, 529, 18925, 2270, 520, 279, 735, 14390, 727, 11, 568, 15393, 8530, 568, 1047, 78549, 1022, 810, 1109, 568, 1436, 37433, 13, 25681, 574, 5076, 13, 10926, 433, 574, 279, 8348, 3376, 753, 14113, 13, 1102, 574, 279, 5076, 12745, 13, 8595, 1051, 814, 12512, 279, 88068, 6437, 315, 279, 48090, 5703, 11994, 30, 97917, 11, 7422, 389, 813, 7693, 11, 1603, 814, 14000, 279, 35058, 304, 872, 35446, 11, 568, 37085, 291, 1139, 279, 5274, 315, 279, 8189, 44, 11717, 462, 2394, 77711, 86216, 8083, 13, 3011, 711, 83, 3351, 27528, 1403, 2917, 71830, 16609, 25, 832, 369, 1461, 323, 832, 369, 757, 13, 42494, 449, 1124, 11, 568, 23010, 4147, 1555, 279, 40964, 78680, 3536, 311, 17782, 520, 1057, 2162, 311, 3041, 757, 10175, 2360, 13, 17, 13, 9930, 499, 90454, 9110, 293, 26279, 0, 17586, 499, 420, 2759, 1053, 617, 1027, 264, 10321, 2199, 13, 19334, 2940, 11, 468, 771, 648, 11, 264, 8810, 37002, 6506, 3221, 328, 4010, 424, 783, 11, 45519, 709, 279, 23091, 311, 25586, 31396, 311, 387, 41782, 555, 264, 26483, 375, 315, 19738, 86219, 13, 3451, 9241, 656, 499, 1781, 499, 3207, 1022, 311, 45258, 4691, 832, 13, 3451, 2729, 369, 264, 6693, 31225, 72434, 3451, 1163, 278, 342, 13279, 0, 320, 11087, 2162, 16715, 529, 13358, 5795, 279, 893, 11, 53728, 95072, 398, 279, 5015, 449, 264, 9396, 13, 3451, 10445, 18046, 449, 264, 387, 7759, 91772, 46298, 6374, 45258, 568, 43457, 13, 3451, 40, 4024, 7833, 2162, 1193, 311, 3094, 704, 1403, 5672, 3010, 14639, 4740, 2380, 2919, 11, 449, 1063, 80664, 685, 315, 4725, 11377, 304, 279, 3805, 11, 279, 8735, 6773, 311, 12234, 279, 2917, 71830, 369, 1403, 4207, 13, 40155, 2212, 279, 32498, 11, 20021, 78881, 13, 11215, 11, 2911, 323, 2362, 3026, 296, 18033, 709, 2163, 29352, 19705, 11, 311, 5708, 872, 326, 569, 388, 13, 2030, 2555, 574, 1097, 1056, 13, 578, 3995, 3026, 1047, 8208, 7554, 13, 3451, 23958, 753, 50259, 72434, 3861, 31156, 13, 3451, 23958, 374, 17677, 0, 45258, 358, 1205, 539, 617, 18290, 13, 7648, 315, 1124, 1047, 19946, 7833, 369, 279, 43950, 1693, 27109, 1389, 264, 836, 430, 3782, 505, 279, 682, 2320, 651, 2277, 357, 20345, 315, 40335, 323, 13200, 1389, 264, 15376, 54050, 19157, 12092, 45989, 462, 4409, 11, 42009, 936, 220, 7285, 15, 2203, 70, 578, 26733, 30816, 315, 220, 2550, 19, 11680, 414, 426, 69438, 430, 34161, 279, 32498, 449, 69254, 753, 6984, 9728, 13, 2684, 814, 1051, 13, 445, 1619, 709, 304, 459, 85869, 7325, 8748, 872, 2543, 311, 934, 20345, 279, 50690, 315, 872, 2917, 71830, 59197, 7897, 60187, 1900, 13, 19334, 2940, 304, 68062, 28985, 10888, 11, 279, 20366, 14971, 28214, 2653, 13, 578, 3242, 13559, 1047, 311, 387, 11102, 13, 578, 328, 3852, 38767, 52022, 13279, 939, 8388, 12583, 477, 279, 30833, 5703, 10554, 11, 2663, 369, 264, 5444, 708, 30303, 16222, 2689, 331, 477, 264, 5587, 311, 5444, 708, 30303, 13, 578, 3197, 574, 4382, 25, 13766, 279, 2035, 11, 1464, 279, 2917, 71830, 11, 1457, 1139, 1202, 2132, 2046, 13, 220, 868, 339, 1073, 6250, 220, 2550, 19, 32126, 682, 20362, 315, 7710, 25, 34480, 11, 9048, 1824, 16182, 11, 90603, 11, 27861, 11, 77124, 323, 11731, 315, 682, 28887, 6376, 1022, 389, 279, 2380, 5603, 19795, 311, 279, 24898, 8216, 13, 5046, 1521, 2380, 11, 1403, 37260, 912, 3575, 13, 54673, 14836, 505, 1611, 116513, 359, 5015, 311, 264, 27365, 520, 735, 8942, 278, 30343, 13, 13266, 505, 60629, 354, 11, 452, 467, 21946, 71, 323, 22989, 1098, 64, 1051, 19857, 520, 279, 22881, 3221, 735, 3274, 13, 3451, 51, 16514, 279, 4948, 832, 3703, 265, 2785, 1523, 45989, 462, 9728, 430, 743, 17035, 61794, 68143, 439, 11758, 315, 89456, 505, 99378, 439, 735, 13722, 263, 11, 393, 4202, 72, 11, 45989, 462, 323, 68062, 847, 31478, 14760, 279, 1344, 5861, 88, 4379, 78680, 1037, 520, 45989, 462, 26, 7882, 389, 311, 921, 43008, 57520, 2500, 22881, 311, 13454, 279, 12627, 520, 423, 10118, 6312, 72, 13, 48275, 11684, 449, 810, 503, 9451, 814, 2751, 2949, 3116, 41668, 315, 21933, 6138, 13, 423, 33879, 58842, 13, 578, 4379, 1095, 279, 13734, 21818, 1555, 16488, 12748, 266, 11, 7833, 1139, 459, 80065, 4994, 279, 2978, 18618, 315, 12404, 13787, 13, 2057, 832, 3185, 312, 1636, 279, 7091, 3663, 315, 350, 2715, 783, 26, 389, 279, 1023, 379, 6513, 291, 264, 5655, 43643, 483, 3347, 72460, 285, 3536, 13, 2684, 574, 912, 12731, 13, 362, 28860, 326, 67631, 12, 6900, 57520, 11731, 323, 56467, 29592, 15909, 11, 20806, 20784, 264, 31402, 315, 8818, 13, 25929, 1938, 51801, 14993, 311, 3041, 279, 10672, 264, 836, 13, 2030, 18506, 374, 11, 520, 1888, 11, 264, 40666, 13036, 13, 1472, 1505, 433, 5370, 398, 7633, 439, 279, 5444, 708, 30303, 735, 2689, 331, 11, 279, 921, 43008, 5587, 477, 279, 16488, 12748, 266, 445, 67631, 12, 6900, 13, 1666, 358, 3350, 11, 304, 279, 11422, 38593, 342, 22732, 11, 499, 1505, 279, 10535, 523, 680, 278, 11, 264, 62490, 30077, 477, 264, 259, 22688, 559, 88548, 13, 2435, 7293, 279, 1193, 66697, 315, 430, 28860, 1938, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036 ]
1,037
[ 128000, 15721, 26, 3957, 430, 3249, 814, 2351, 3815, 433, 30, 3639, 11, 1587, 13818, 617, 311, 44030, 279, 11002, 1139, 20806, 1461, 387, 42284, 369, 264, 2697, 1418, 5129, 1980, 28753, 433, 596, 16280, 279, 1193, 3245, 264, 78501, 7140, 449, 264, 6996, 315, 26953, 649, 656, 311, 3412, 1022, 459, 4553, 11841, 315, 1274, 430, 12491, 1124, 382, 15721, 26, 285, 6457, 279, 6625, 26290, 66276, 369, 32538, 889, 1390, 311, 1212, 12544, 1980, 275, 374, 369, 71163, 14132, 1038, 15721, 26, 32, 2731, 56203, 374, 430, 279, 2326, 4536, 956, 23677, 34441, 927, 5606, 596, 88282, 11, 539, 1120, 6457, 382, 2465, 1772, 3287, 956, 617, 264, 10087, 89719, 3245, 311, 656, 449, 64766, 11, 719, 279, 3453, 30060, 315, 43274, 6773, 433, 1047, 311, 387, 11, 323, 499, 5895, 3249, 602, 2846, 33615, 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 ]
[ 128000, 15721, 26, 3957, 430, 3249, 814, 2351, 3815, 433, 30, 3639, 11, 1587, 13818, 617, 311, 44030, 279, 11002, 1139, 20806, 1461, 387, 42284, 369, 264, 2697, 1418, 5129, 1980, 28753, 433, 596, 16280, 279, 1193, 3245, 264, 78501, 7140, 449, 264, 6996, 315, 26953, 649, 656, 311, 3412, 1022, 459, 4553, 11841, 315, 1274, 430, 12491, 1124, 382, 15721, 26, 285, 6457, 279, 6625, 26290, 66276, 369, 32538, 889, 1390, 311, 1212, 12544, 1980, 275, 374, 369, 71163, 14132, 1038, 15721, 26, 32, 2731, 56203, 374, 430, 279, 2326, 4536, 956, 23677, 34441, 927, 5606, 596, 88282, 11, 539, 1120, 6457, 382, 2465, 1772, 3287, 956, 617, 264, 10087, 89719, 3245, 311, 656, 449, 64766, 11, 719, 279, 3453, 30060, 315, 43274, 6773, 433, 1047, 311, 387, 11, 323, 499, 5895, 3249, 602, 2846, 33615, 1131, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138 ]
139
[ 128000, 15724, 358, 4546, 499, 264, 9498, 30687, 1160, 430, 499, 649, 6920, 520, 682, 3115, 389, 701, 4641, 323, 779, 539, 10894, 904, 25795, 499, 1205, 627, 2675, 649, 1101, 4430, 279, 5296, 449, 279, 1023, 3697, 315, 279, 3070, 779, 430, 5606, 649, 3009, 555, 279, 3637, 323, 3780, 1148, 374, 7554, 311, 10772, 279, 5130, 315, 279, 1938, 627, 1687, 4070, 2736, 15243, 922, 1268, 499, 649, 6847, 10299, 701, 19141, 449, 18374, 10179, 304, 264, 3766, 1772, 11, 323, 358, 1781, 420, 1160, 690, 387, 5505, 323, 264, 1695, 6041, 1486, 311, 31335, 323, 1977, 701, 30687, 1160, 627, 29132, 264, 1664, 33207, 7443, 30687, 1160, 5334, 499, 304, 323, 704, 315, 279, 3637, 6288, 323, 8779, 499, 9396, 311, 701, 9498, 12459, 3197, 13, 4212, 311, 3009, 85151, 3958, 3691, 323, 3300, 304, 279, 23701, 0, 1115, 30687, 1160, 5764, 4395, 701, 3070, 3966, 311, 8343, 9498, 323, 18406, 369, 832, 2046, 627, 791, 9498, 30687, 1160, 5764, 25, 87988, 11, 28896, 11, 41936, 11, 14403, 612, 34479, 11, 2531, 19131, 11, 47497, 11, 323, 69357, 87929, 627, 8538, 1274, 1093, 311, 31993, 279, 11306, 304, 872, 1160, 2212, 279, 2015, 304, 902, 15657, 527, 1766, 304, 279, 3637, 627, 23080, 11306, 369, 2536, 64567, 3673, 430, 499, 7782, 520, 279, 30687, 3637, 1778, 439, 2890, 323, 13444, 52797, 323, 14048, 17135, 627, 24633, 9315, 13289, 449, 701, 7491, 1160, 369, 520, 3325, 264, 2305, 311, 1505, 1148, 4375, 1888, 369, 499, 627, 29690, 430, 892, 7543, 11469, 264, 1160, 374, 6118, 2753, 1109, 892, 7543, 13758, 311, 279, 3637, 369, 264, 25565, 1537, 13, 20636, 264, 1160, 1253, 1101, 17210, 311, 701, 8244, 15496, 4367, 627, 40, 617, 3779, 264, 32400, 1828, 311, 1855, 2027, 11, 779, 682, 499, 617, 311, 656, 374, 1817, 477, 653, 2071, 279, 3830, 311, 10356, 422, 499, 617, 433, 304, 279, 69357, 477, 499, 1205, 311, 3780, 433, 627, 2675, 690, 2646, 617, 311, 3350, 477, 81571, 1578, 279, 30687, 1160, 11, 323, 1243, 5387, 433, 25565, 520, 2162, 13, 1115, 1160, 690, 2744, 387, 389, 701, 4641, 11, 6177, 323, 22183, 449, 279, 1023, 3697, 315, 279, 3070, 627, 10156, 4299, 389, 279, 2217, 3770, 311, 636, 279, 5296, 323, 1304, 701, 2324, 1790, 35388, 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 ]
[ 128000, 15724, 358, 4546, 499, 264, 9498, 30687, 1160, 430, 499, 649, 6920, 520, 682, 3115, 389, 701, 4641, 323, 779, 539, 10894, 904, 25795, 499, 1205, 627, 2675, 649, 1101, 4430, 279, 5296, 449, 279, 1023, 3697, 315, 279, 3070, 779, 430, 5606, 649, 3009, 555, 279, 3637, 323, 3780, 1148, 374, 7554, 311, 10772, 279, 5130, 315, 279, 1938, 627, 1687, 4070, 2736, 15243, 922, 1268, 499, 649, 6847, 10299, 701, 19141, 449, 18374, 10179, 304, 264, 3766, 1772, 11, 323, 358, 1781, 420, 1160, 690, 387, 5505, 323, 264, 1695, 6041, 1486, 311, 31335, 323, 1977, 701, 30687, 1160, 627, 29132, 264, 1664, 33207, 7443, 30687, 1160, 5334, 499, 304, 323, 704, 315, 279, 3637, 6288, 323, 8779, 499, 9396, 311, 701, 9498, 12459, 3197, 13, 4212, 311, 3009, 85151, 3958, 3691, 323, 3300, 304, 279, 23701, 0, 1115, 30687, 1160, 5764, 4395, 701, 3070, 3966, 311, 8343, 9498, 323, 18406, 369, 832, 2046, 627, 791, 9498, 30687, 1160, 5764, 25, 87988, 11, 28896, 11, 41936, 11, 14403, 612, 34479, 11, 2531, 19131, 11, 47497, 11, 323, 69357, 87929, 627, 8538, 1274, 1093, 311, 31993, 279, 11306, 304, 872, 1160, 2212, 279, 2015, 304, 902, 15657, 527, 1766, 304, 279, 3637, 627, 23080, 11306, 369, 2536, 64567, 3673, 430, 499, 7782, 520, 279, 30687, 3637, 1778, 439, 2890, 323, 13444, 52797, 323, 14048, 17135, 627, 24633, 9315, 13289, 449, 701, 7491, 1160, 369, 520, 3325, 264, 2305, 311, 1505, 1148, 4375, 1888, 369, 499, 627, 29690, 430, 892, 7543, 11469, 264, 1160, 374, 6118, 2753, 1109, 892, 7543, 13758, 311, 279, 3637, 369, 264, 25565, 1537, 13, 20636, 264, 1160, 1253, 1101, 17210, 311, 701, 8244, 15496, 4367, 627, 40, 617, 3779, 264, 32400, 1828, 311, 1855, 2027, 11, 779, 682, 499, 617, 311, 656, 374, 1817, 477, 653, 2071, 279, 3830, 311, 10356, 422, 499, 617, 433, 304, 279, 69357, 477, 499, 1205, 311, 3780, 433, 627, 2675, 690, 2646, 617, 311, 3350, 477, 81571, 1578, 279, 30687, 1160, 11, 323, 1243, 5387, 433, 25565, 520, 2162, 13, 1115, 1160, 690, 2744, 387, 389, 701, 4641, 11, 6177, 323, 22183, 449, 279, 1023, 3697, 315, 279, 3070, 627, 10156, 4299, 389, 279, 2217, 3770, 311, 636, 279, 5296, 323, 1304, 701, 2324, 1790, 35388, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379 ]
380
[ 128000, 791, 4947, 706, 1027, 6177, 311, 1304, 5905, 311, 282, 1103, 1409, 323, 10552, 3249, 433, 374, 539, 9959, 311, 420, 4947, 13, 1115, 4947, 2633, 82, 1148, 7504, 1288, 387, 4529, 323, 1148, 38864, 527, 4529, 1139, 2759, 994, 30230, 422, 433, 374, 2288, 11660, 369, 459, 9548, 311, 9604, 990, 4245, 311, 31959, 9282, 477, 1023, 9434, 9547, 704, 315, 279, 9548, 753, 2585, 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 ]
[ 128000, 791, 4947, 706, 1027, 6177, 311, 1304, 5905, 311, 282, 1103, 1409, 323, 10552, 3249, 433, 374, 539, 9959, 311, 420, 4947, 13, 1115, 4947, 2633, 82, 1148, 7504, 1288, 387, 4529, 323, 1148, 38864, 527, 4529, 1139, 2759, 994, 30230, 422, 433, 374, 2288, 11660, 369, 459, 9548, 311, 9604, 990, 4245, 311, 31959, 9282, 477, 1023, 9434, 9547, 704, 315, 279, 9548, 753, 2585, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68 ]
69
[ 128000, 48852, 304, 279, 4851, 315, 10846, 24100, 303, 6489, 269, 11, 220, 22708, 469, 13, 65449, 41234, 17569, 11, 374, 264, 10107, 323, 40798, 3254, 449, 459, 15400, 14981, 13863, 13, 1115, 1314, 28935, 2162, 706, 220, 18, 28689, 11, 1403, 2539, 59300, 11, 264, 3177, 10409, 5496, 3130, 11, 323, 459, 8343, 3502, 9979, 13, 578, 4827, 2237, 706, 264, 33236, 3070, 3130, 902, 374, 279, 4832, 31114, 369, 1514, 11, 16924, 477, 4382, 43685, 13, 578, 7373, 84493, 3424, 23874, 389, 1120, 1234, 662, 19, 27464, 11, 7231, 499, 459, 37492, 315, 879, 16166, 3634, 311, 1095, 701, 19226, 1629, 8545, 13, 24133, 810, 3838, 304, 9522, 40, 1053, 1093, 810, 2038, 922, 220, 22708, 6460, 65449, 41234, 17569, 627, 22708, 6460, 65449, 41234, 17569, 374, 264, 3254, 3070, 2162, 369, 6412, 304, 24100, 303, 6489, 269, 11, 13174, 220, 7028, 1987, 13, 1115, 3424, 574, 10212, 369, 6412, 389, 5651, 220, 966, 11, 220, 2366, 15, 555, 60680, 520, 400, 8652, 11, 931, 13, 1102, 706, 1027, 389, 279, 3157, 369, 264, 2860, 315, 220, 19, 2919, 323, 574, 1566, 6216, 389, 7552, 220, 1691, 11, 220, 1049, 21, 13, 1115, 15182, 596, 2978, 9474, 374, 53524, 53767, 6150, 11182, 13, 96648, 8853, 2997, 53524, 350, 8587, 12877, 6150, 11, 53524, 350, 8587, 5234, 6150, 323, 53524, 53767, 41763, 6150, 12, 1737, 2630, 13, 220, 22708, 6460, 65449, 41234, 17569, 374, 264, 220, 18, 49607, 11, 220, 17, 1481, 589, 11, 3254, 3070, 2162, 5918, 304, 220, 5162, 20, 13, 1115, 2686, 649, 1101, 387, 5439, 439, 220, 22708, 65449, 41234, 21998, 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 ]
[ 128000, 48852, 304, 279, 4851, 315, 10846, 24100, 303, 6489, 269, 11, 220, 22708, 469, 13, 65449, 41234, 17569, 11, 374, 264, 10107, 323, 40798, 3254, 449, 459, 15400, 14981, 13863, 13, 1115, 1314, 28935, 2162, 706, 220, 18, 28689, 11, 1403, 2539, 59300, 11, 264, 3177, 10409, 5496, 3130, 11, 323, 459, 8343, 3502, 9979, 13, 578, 4827, 2237, 706, 264, 33236, 3070, 3130, 902, 374, 279, 4832, 31114, 369, 1514, 11, 16924, 477, 4382, 43685, 13, 578, 7373, 84493, 3424, 23874, 389, 1120, 1234, 662, 19, 27464, 11, 7231, 499, 459, 37492, 315, 879, 16166, 3634, 311, 1095, 701, 19226, 1629, 8545, 13, 24133, 810, 3838, 304, 9522, 40, 1053, 1093, 810, 2038, 922, 220, 22708, 6460, 65449, 41234, 17569, 627, 22708, 6460, 65449, 41234, 17569, 374, 264, 3254, 3070, 2162, 369, 6412, 304, 24100, 303, 6489, 269, 11, 13174, 220, 7028, 1987, 13, 1115, 3424, 574, 10212, 369, 6412, 389, 5651, 220, 966, 11, 220, 2366, 15, 555, 60680, 520, 400, 8652, 11, 931, 13, 1102, 706, 1027, 389, 279, 3157, 369, 264, 2860, 315, 220, 19, 2919, 323, 574, 1566, 6216, 389, 7552, 220, 1691, 11, 220, 1049, 21, 13, 1115, 15182, 596, 2978, 9474, 374, 53524, 53767, 6150, 11182, 13, 96648, 8853, 2997, 53524, 350, 8587, 12877, 6150, 11, 53524, 350, 8587, 5234, 6150, 323, 53524, 53767, 41763, 6150, 12, 1737, 2630, 13, 220, 22708, 6460, 65449, 41234, 17569, 374, 264, 220, 18, 49607, 11, 220, 17, 1481, 589, 11, 3254, 3070, 2162, 5918, 304, 220, 5162, 20, 13, 1115, 2686, 649, 1101, 387, 5439, 439, 220, 22708, 65449, 41234, 21998, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267 ]
268
[ 128000, 18433, 433, 596, 539, 423, 6296, 432, 439, 1790, 439, 433, 374, 264, 4465, 1990, 3300, 291, 12034, 13, 9540, 33149, 617, 8040, 264, 610, 4134, 6416, 927, 872, 4717, 13, 220, 1442, 264, 9540, 7504, 704, 315, 1584, 11, 872, 4553, 3752, 323, 7076, 374, 490, 13883, 555, 13585, 5513, 323, 279, 9540, 4717, 13, 2435, 7543, 11026, 4857, 420, 5054, 5780, 323, 433, 374, 1633, 11297, 13, 2100, 814, 1541, 956, 1524, 33304, 382, 791, 12643, 1253, 1456, 311, 1893, 420, 3169, 315, 29292, 4156, 505, 892, 311, 892, 11, 719, 27242, 279, 13063, 520, 420, 3169, 315, 1847, 7612, 2466, 3300, 13, 578, 2466, 3300, 1193, 11263, 279, 11426, 889, 527, 10032, 311, 4662, 704, 872, 2163, 78461, 51720, 13, 1115, 5900, 2403, 1148, 1455, 315, 1884, 11969, 1390, 11, 779, 994, 1063, 315, 279, 810, 70379, 323, 10978, 12643, 1505, 872, 1648, 1139, 8151, 11, 433, 11705, 264, 78257, 2949, 279, 4717, 13, 578, 3772, 6118, 3250, 956, 1304, 264, 14464, 704, 315, 6968, 430, 78257, 3156, 279, 1828, 6355, 11008, 382, 4599, 13621, 6355, 25492, 527, 6532, 11, 499, 636, 2466, 3300, 6532, 13, 3011, 596, 994, 499, 1518, 2163, 78461, 3772, 3794, 71052, 35507, 7119, 279, 12643, 449, 17025, 13, 3011, 596, 3249, 499, 842, 709, 9298, 5220, 1093, 20352, 84239, 872, 80140, 449, 11426, 889, 6604, 704, 2403, 279, 2466, 3300, 11, 1524, 3582, 814, 2643, 89986, 449, 20352, 596, 5054, 19775, 323, 11, 3629, 11, 872, 1866, 10877, 13, 1442, 814, 1051, 37875, 22923, 2555, 362, 7767, 1071, 13985, 11, 1364, 4265, 387, 3794, 41643, 12616, 369, 433, 3432, 422, 1364, 11096, 279, 13621, 7102, 13, 2435, 4265, 656, 4395, 814, 1436, 311, 37088, 1077, 505, 14209, 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 ]
[ 128000, 18433, 433, 596, 539, 423, 6296, 432, 439, 1790, 439, 433, 374, 264, 4465, 1990, 3300, 291, 12034, 13, 9540, 33149, 617, 8040, 264, 610, 4134, 6416, 927, 872, 4717, 13, 220, 1442, 264, 9540, 7504, 704, 315, 1584, 11, 872, 4553, 3752, 323, 7076, 374, 490, 13883, 555, 13585, 5513, 323, 279, 9540, 4717, 13, 2435, 7543, 11026, 4857, 420, 5054, 5780, 323, 433, 374, 1633, 11297, 13, 2100, 814, 1541, 956, 1524, 33304, 382, 791, 12643, 1253, 1456, 311, 1893, 420, 3169, 315, 29292, 4156, 505, 892, 311, 892, 11, 719, 27242, 279, 13063, 520, 420, 3169, 315, 1847, 7612, 2466, 3300, 13, 578, 2466, 3300, 1193, 11263, 279, 11426, 889, 527, 10032, 311, 4662, 704, 872, 2163, 78461, 51720, 13, 1115, 5900, 2403, 1148, 1455, 315, 1884, 11969, 1390, 11, 779, 994, 1063, 315, 279, 810, 70379, 323, 10978, 12643, 1505, 872, 1648, 1139, 8151, 11, 433, 11705, 264, 78257, 2949, 279, 4717, 13, 578, 3772, 6118, 3250, 956, 1304, 264, 14464, 704, 315, 6968, 430, 78257, 3156, 279, 1828, 6355, 11008, 382, 4599, 13621, 6355, 25492, 527, 6532, 11, 499, 636, 2466, 3300, 6532, 13, 3011, 596, 994, 499, 1518, 2163, 78461, 3772, 3794, 71052, 35507, 7119, 279, 12643, 449, 17025, 13, 3011, 596, 3249, 499, 842, 709, 9298, 5220, 1093, 20352, 84239, 872, 80140, 449, 11426, 889, 6604, 704, 2403, 279, 2466, 3300, 11, 1524, 3582, 814, 2643, 89986, 449, 20352, 596, 5054, 19775, 323, 11, 3629, 11, 872, 1866, 10877, 13, 1442, 814, 1051, 37875, 22923, 2555, 362, 7767, 1071, 13985, 11, 1364, 4265, 387, 3794, 41643, 12616, 369, 433, 3432, 422, 1364, 11096, 279, 13621, 7102, 13, 2435, 4265, 656, 4395, 814, 1436, 311, 37088, 1077, 505, 14209, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287 ]
288
[ 128000, 6255, 783, 24051, 574, 9405, 449, 4731, 304, 813, 15922, 11, 323, 374, 6646, 832, 315, 279, 38391, 3995, 44695, 7091, 17418, 1705, 0, 1115, 893, 574, 9405, 311, 2804, 11, 439, 813, 10517, 27510, 91713, 449, 60574, 12015, 23660, 3235, 449, 1690, 3885, 13, 4349, 783, 753, 2254, 5039, 2997, 3441, 64519, 13558, 323, 11641, 72, 30594, 18862, 21163, 2142, 3235, 449, 1690, 44695, 7091, 14861, 323, 4113, 4375, 2001, 279, 9090, 315, 279, 44695, 374, 304, 682, 315, 813, 4113, 90398, 0, 3861, 6926, 449, 1475, 1501, 374, 430, 1884, 9298, 1461, 369, 279, 1176, 892, 4430, 832, 3245, 304, 4279, 25, 814, 527, 9888, 7359, 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 ]
[ 128000, 6255, 783, 24051, 574, 9405, 449, 4731, 304, 813, 15922, 11, 323, 374, 6646, 832, 315, 279, 38391, 3995, 44695, 7091, 17418, 1705, 0, 1115, 893, 574, 9405, 311, 2804, 11, 439, 813, 10517, 27510, 91713, 449, 60574, 12015, 23660, 3235, 449, 1690, 3885, 13, 4349, 783, 753, 2254, 5039, 2997, 3441, 64519, 13558, 323, 11641, 72, 30594, 18862, 21163, 2142, 3235, 449, 1690, 44695, 7091, 14861, 323, 4113, 4375, 2001, 279, 9090, 315, 279, 44695, 374, 304, 682, 315, 813, 4113, 90398, 0, 3861, 6926, 449, 1475, 1501, 374, 430, 1884, 9298, 1461, 369, 279, 1176, 892, 4430, 832, 3245, 304, 4279, 25, 814, 527, 9888, 7359, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110 ]
111
[ 128000, 791, 1403, 19130, 11, 7086, 1229, 20612, 258, 3573, 46484, 315, 74451, 909, 323, 66690, 473, 1955, 78, 3573, 39203, 86302, 4063, 1051, 6004, 1139, 279, 8545, 389, 6790, 220, 1544, 2768, 1620, 7106, 69570, 2737, 6680, 7177, 11, 63859, 69570, 11, 85573, 24481, 11, 865, 82817, 11, 55061, 288, 6492, 323, 2547, 22323, 627, 7009, 1051, 25660, 5052, 369, 4984, 1139, 5843, 11927, 11529, 647, 101655, 5165, 22037, 25820, 304, 54085, 5734, 1306, 37538, 30405, 4967, 11, 2391, 902, 814, 527, 1071, 311, 617, 8040, 12309, 3831, 20237, 62921, 11, 2533, 872, 7342, 304, 5887, 220, 679, 21, 627, 7009, 617, 71325, 6913, 7512, 2737, 11689, 11, 30608, 11, 9455, 23756, 11, 323, 810, 11, 4184, 311, 71338, 627, 1, 24798, 1057, 810, 1109, 1403, 1667, 315, 4967, 11, 364, 48, 20612, 258, 6, 323, 364, 55, 689, 2319, 1955, 78, 6, 617, 8710, 3831, 18000, 304, 23738, 3691, 323, 31526, 8137, 304, 279, 8545, 13, 2435, 617, 2322, 279, 6913, 8670, 311, 387, 6004, 1139, 279, 8545, 1359, 1071, 38805, 66690, 80, 28323, 11, 2010, 315, 279, 10065, 6373, 9476, 315, 279, 473, 1955, 34807, 54451, 16543, 5464, 315, 279, 5734, 45435, 323, 8483, 14821, 369, 279, 41841, 73510, 627, 38, 5485, 19130, 3974, 14918, 304, 279, 24405, 315, 328, 718, 10602, 11, 439, 1664, 439, 304, 480, 598, 84, 323, 29070, 276, 11927, 41021, 304, 53342, 5734, 323, 279, 52356, 9606, 374, 8935, 1303, 505, 29711, 9045, 627, 57, 21313, 473, 26768, 11, 279, 7690, 48299, 47195, 18955, 25820, 11, 11224, 304, 264, 3766, 1934, 430, 11, 330, 1820, 8545, 374, 279, 1193, 5933, 39646, 1405, 14880, 19130, 2216, 1390, 311, 3974, 11, 18167, 323, 31370, 10246, 9330, 1147, 304, 54085, 5734, 10534, 264, 13051, 389, 7950, 994, 264, 14880, 89322, 58842, 389, 872, 14458, 13, 578, 84019, 1481, 1171, 10065, 574, 23490, 9662, 28109, 555, 1274, 627, 48, 20612, 258, 323, 41235, 2319, 1955, 78, 527, 279, 56766, 323, 10732, 45707, 60951, 1481, 1171, 14880, 19130, 430, 617, 1027, 6004, 1139, 279, 8545, 323, 690, 387, 34156, 4669, 24229, 7766, 1306, 872, 4984, 627, 11458, 11, 1070, 527, 15635, 5938, 449, 1778, 264, 3351, 13, 5734, 1176, 17644, 311, 4984, 264, 14880, 89322, 1139, 279, 8545, 304, 220, 1049, 21, 719, 279, 10065, 11, 7086, 1630, 28323, 1630, 28323, 11, 574, 1766, 5710, 1306, 832, 1060, 704, 315, 84019, 627, 14364, 11, 1630, 361, 1630, 361, 11, 8636, 1120, 220, 2983, 2919, 1306, 1077, 4984, 304, 220, 679, 19, 13, 1283, 1443, 833, 11, 264, 220, 18, 4771, 6418, 8762, 89322, 11, 8636, 304, 5936, 220, 679, 22, 1306, 1694, 6004, 304, 5587, 1566, 1060, 13, 1556, 24481, 20536, 430, 279, 89322, 1047, 1027, 18855, 555, 459, 9987, 10065, 11, 449, 279, 34254, 12967, 264, 45964, 19405, 430, 19543, 304, 19094, 6680, 52236, 627, 791, 4435, 33845, 13492, 369, 22037, 320, 19522, 37, 8, 374, 1101, 6532, 304, 89322, 29711, 13, 578, 8244, 9045, 690, 8935, 1690, 1023, 9024, 9606, 315, 10099, 323, 11012, 430, 3974, 3185, 14656, 25034, 449, 279, 19130, 11, 279, 29144, 37, 2795, 11, 2737, 279, 52356, 18608, 258, 11, 21411, 39803, 11, 2579, 89322, 11, 323, 1922, 24836, 19185, 285, 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 ]
[ 128000, 791, 1403, 19130, 11, 7086, 1229, 20612, 258, 3573, 46484, 315, 74451, 909, 323, 66690, 473, 1955, 78, 3573, 39203, 86302, 4063, 1051, 6004, 1139, 279, 8545, 389, 6790, 220, 1544, 2768, 1620, 7106, 69570, 2737, 6680, 7177, 11, 63859, 69570, 11, 85573, 24481, 11, 865, 82817, 11, 55061, 288, 6492, 323, 2547, 22323, 627, 7009, 1051, 25660, 5052, 369, 4984, 1139, 5843, 11927, 11529, 647, 101655, 5165, 22037, 25820, 304, 54085, 5734, 1306, 37538, 30405, 4967, 11, 2391, 902, 814, 527, 1071, 311, 617, 8040, 12309, 3831, 20237, 62921, 11, 2533, 872, 7342, 304, 5887, 220, 679, 21, 627, 7009, 617, 71325, 6913, 7512, 2737, 11689, 11, 30608, 11, 9455, 23756, 11, 323, 810, 11, 4184, 311, 71338, 627, 1, 24798, 1057, 810, 1109, 1403, 1667, 315, 4967, 11, 364, 48, 20612, 258, 6, 323, 364, 55, 689, 2319, 1955, 78, 6, 617, 8710, 3831, 18000, 304, 23738, 3691, 323, 31526, 8137, 304, 279, 8545, 13, 2435, 617, 2322, 279, 6913, 8670, 311, 387, 6004, 1139, 279, 8545, 1359, 1071, 38805, 66690, 80, 28323, 11, 2010, 315, 279, 10065, 6373, 9476, 315, 279, 473, 1955, 34807, 54451, 16543, 5464, 315, 279, 5734, 45435, 323, 8483, 14821, 369, 279, 41841, 73510, 627, 38, 5485, 19130, 3974, 14918, 304, 279, 24405, 315, 328, 718, 10602, 11, 439, 1664, 439, 304, 480, 598, 84, 323, 29070, 276, 11927, 41021, 304, 53342, 5734, 323, 279, 52356, 9606, 374, 8935, 1303, 505, 29711, 9045, 627, 57, 21313, 473, 26768, 11, 279, 7690, 48299, 47195, 18955, 25820, 11, 11224, 304, 264, 3766, 1934, 430, 11, 330, 1820, 8545, 374, 279, 1193, 5933, 39646, 1405, 14880, 19130, 2216, 1390, 311, 3974, 11, 18167, 323, 31370, 10246, 9330, 1147, 304, 54085, 5734, 10534, 264, 13051, 389, 7950, 994, 264, 14880, 89322, 58842, 389, 872, 14458, 13, 578, 84019, 1481, 1171, 10065, 574, 23490, 9662, 28109, 555, 1274, 627, 48, 20612, 258, 323, 41235, 2319, 1955, 78, 527, 279, 56766, 323, 10732, 45707, 60951, 1481, 1171, 14880, 19130, 430, 617, 1027, 6004, 1139, 279, 8545, 323, 690, 387, 34156, 4669, 24229, 7766, 1306, 872, 4984, 627, 11458, 11, 1070, 527, 15635, 5938, 449, 1778, 264, 3351, 13, 5734, 1176, 17644, 311, 4984, 264, 14880, 89322, 1139, 279, 8545, 304, 220, 1049, 21, 719, 279, 10065, 11, 7086, 1630, 28323, 1630, 28323, 11, 574, 1766, 5710, 1306, 832, 1060, 704, 315, 84019, 627, 14364, 11, 1630, 361, 1630, 361, 11, 8636, 1120, 220, 2983, 2919, 1306, 1077, 4984, 304, 220, 679, 19, 13, 1283, 1443, 833, 11, 264, 220, 18, 4771, 6418, 8762, 89322, 11, 8636, 304, 5936, 220, 679, 22, 1306, 1694, 6004, 304, 5587, 1566, 1060, 13, 1556, 24481, 20536, 430, 279, 89322, 1047, 1027, 18855, 555, 459, 9987, 10065, 11, 449, 279, 34254, 12967, 264, 45964, 19405, 430, 19543, 304, 19094, 6680, 52236, 627, 791, 4435, 33845, 13492, 369, 22037, 320, 19522, 37, 8, 374, 1101, 6532, 304, 89322, 29711, 13, 578, 8244, 9045, 690, 8935, 1690, 1023, 9024, 9606, 315, 10099, 323, 11012, 430, 3974, 3185, 14656, 25034, 449, 279, 19130, 11, 279, 29144, 37, 2795, 11, 2737, 279, 52356, 18608, 258, 11, 21411, 39803, 11, 2579, 89322, 11, 323, 1922, 24836, 19185, 285, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531 ]
532
[ 128000, 27, 876, 1284, 1590, 29, 15, 198, 475, 341, 220, 8425, 345, 220, 47963, 345, 220, 29535, 345, 220, 6739, 198, 92, 505, 3542, 8407, 8896, 5433, 1025, 475, 314, 12373, 2668, 48149, 1303, 335, 505, 5032, 97552, 2412, 5077, 358, 10577, 1876, 6120, 341, 220, 12224, 48149, 1303, 25, 12373, 2668, 48149, 1303, 280, 220, 743, 66370, 48149, 1303, 25, 320, 23414, 48149, 1303, 25, 12373, 2668, 48149, 1303, 8, 591, 742, 280, 220, 3790, 1876, 9066, 25, 1754, 591, 742, 280, 633, 1723, 8423, 1876, 9524, 25, 358, 10577, 1876, 6120, 8, 341, 220, 471, 2456, 262, 21421, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 17511, 11678, 429, 71, 20, 760, 10577, 1148, 499, 1518, 19203, 17511, 397, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 10268, 198, 692, 955, 429, 1342, 702, 692, 836, 429, 23414, 1292, 702, 692, 2440, 429, 3923, 1550, 499, 1518, 48469, 692, 887, 429, 23414, 1292, 702, 692, 9273, 17237, 68, 8, 591, 7059, 995, 66370, 48149, 1303, 2358, 2564, 4866, 960, 2668, 48149, 1303, 11, 836, 25, 384, 6676, 2894, 30424, 692, 11678, 429, 50233, 702, 692, 907, 1185, 4866, 960, 2668, 48149, 1303, 2710, 534, 692, 52420, 1185, 1904, 534, 692, 2631, 1185, 1904, 534, 692, 6002, 429, 10544, 503, 352, 702, 286, 2662, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 10268, 198, 692, 955, 429, 4174, 702, 692, 836, 429, 23414, 33197, 702, 692, 2440, 429, 4438, 1690, 1550, 499, 1518, 48469, 692, 887, 429, 23414, 33197, 702, 692, 9273, 17237, 68, 8, 591, 7059, 995, 66370, 48149, 1303, 2358, 2564, 4866, 960, 2668, 48149, 1303, 11, 12472, 25, 5742, 2069, 6676, 2894, 8, 30424, 692, 11678, 429, 50233, 702, 692, 907, 1185, 4866, 960, 2668, 48149, 1303, 35392, 534, 692, 52420, 1185, 1904, 534, 692, 2631, 1185, 1904, 534, 692, 6002, 429, 19, 702, 286, 2662, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 10268, 198, 692, 86318, 198, 692, 1332, 9201, 1185, 19, 534, 692, 955, 429, 1342, 702, 692, 836, 429, 23414, 11703, 702, 692, 2440, 429, 2261, 810, 3649, 702, 692, 887, 429, 23414, 11703, 702, 692, 9273, 17237, 68, 8, 591, 7059, 995, 66370, 48149, 1303, 2358, 2564, 4866, 960, 2668, 48149, 1303, 11, 3649, 25, 384, 6676, 2894, 30424, 692, 11678, 429, 50233, 702, 692, 907, 1185, 4866, 960, 2668, 48149, 1303, 43417, 534, 692, 52420, 1185, 1904, 534, 692, 6002, 429, 10544, 56994, 449, 2579, 387, 587, 11, 17813, 71546, 10194, 702, 286, 2662, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 1597, 198, 692, 11678, 429, 53615, 702, 692, 3777, 429, 1530, 702, 692, 1404, 429, 27178, 702, 692, 1933, 429, 6682, 702, 692, 5815, 1185, 4866, 10341, 1876, 9066, 534, 286, 6235, 692, 8423, 198, 286, 694, 1597, 397, 415, 694, 1642, 397, 262, 24518, 220, 1465, 633, 1562, 1670, 8423, 1876, 280, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 27, 876, 1284, 1590, 29, 15, 198, 475, 341, 220, 8425, 345, 220, 47963, 345, 220, 29535, 345, 220, 6739, 198, 92, 505, 3542, 8407, 8896, 5433, 1025, 475, 314, 12373, 2668, 48149, 1303, 335, 505, 5032, 97552, 2412, 5077, 358, 10577, 1876, 6120, 341, 220, 12224, 48149, 1303, 25, 12373, 2668, 48149, 1303, 280, 220, 743, 66370, 48149, 1303, 25, 320, 23414, 48149, 1303, 25, 12373, 2668, 48149, 1303, 8, 591, 742, 280, 220, 3790, 1876, 9066, 25, 1754, 591, 742, 280, 633, 1723, 8423, 1876, 9524, 25, 358, 10577, 1876, 6120, 8, 341, 220, 471, 2456, 262, 21421, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 17511, 11678, 429, 71, 20, 760, 10577, 1148, 499, 1518, 19203, 17511, 397, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 10268, 198, 692, 955, 429, 1342, 702, 692, 836, 429, 23414, 1292, 702, 692, 2440, 429, 3923, 1550, 499, 1518, 48469, 692, 887, 429, 23414, 1292, 702, 692, 9273, 17237, 68, 8, 591, 7059, 995, 66370, 48149, 1303, 2358, 2564, 4866, 960, 2668, 48149, 1303, 11, 836, 25, 384, 6676, 2894, 30424, 692, 11678, 429, 50233, 702, 692, 907, 1185, 4866, 960, 2668, 48149, 1303, 2710, 534, 692, 52420, 1185, 1904, 534, 692, 2631, 1185, 1904, 534, 692, 6002, 429, 10544, 503, 352, 702, 286, 2662, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 10268, 198, 692, 955, 429, 4174, 702, 692, 836, 429, 23414, 33197, 702, 692, 2440, 429, 4438, 1690, 1550, 499, 1518, 48469, 692, 887, 429, 23414, 33197, 702, 692, 9273, 17237, 68, 8, 591, 7059, 995, 66370, 48149, 1303, 2358, 2564, 4866, 960, 2668, 48149, 1303, 11, 12472, 25, 5742, 2069, 6676, 2894, 8, 30424, 692, 11678, 429, 50233, 702, 692, 907, 1185, 4866, 960, 2668, 48149, 1303, 35392, 534, 692, 52420, 1185, 1904, 534, 692, 2631, 1185, 1904, 534, 692, 6002, 429, 19, 702, 286, 2662, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 10268, 198, 692, 86318, 198, 692, 1332, 9201, 1185, 19, 534, 692, 955, 429, 1342, 702, 692, 836, 429, 23414, 11703, 702, 692, 2440, 429, 2261, 810, 3649, 702, 692, 887, 429, 23414, 11703, 702, 692, 9273, 17237, 68, 8, 591, 7059, 995, 66370, 48149, 1303, 2358, 2564, 4866, 960, 2668, 48149, 1303, 11, 3649, 25, 384, 6676, 2894, 30424, 692, 11678, 429, 50233, 702, 692, 907, 1185, 4866, 960, 2668, 48149, 1303, 43417, 534, 692, 52420, 1185, 1904, 534, 692, 6002, 429, 10544, 56994, 449, 2579, 387, 587, 11, 17813, 71546, 10194, 702, 286, 2662, 415, 694, 1642, 397, 415, 366, 1642, 17759, 1185, 17, 4982, 286, 366, 1597, 198, 692, 11678, 429, 53615, 702, 692, 3777, 429, 1530, 702, 692, 1404, 429, 27178, 702, 692, 1933, 429, 6682, 702, 692, 5815, 1185, 4866, 10341, 1876, 9066, 534, 286, 6235, 692, 8423, 198, 286, 694, 1597, 397, 415, 694, 1642, 397, 262, 24518, 220, 1465, 633, 1562, 1670, 8423, 1876, 280, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497 ]
498
[ 128000, 27, 17869, 24638, 29, 23438, 2, 12094, 430, 2882, 99675, 1977, 17088, 198, 53424, 76, 5389, 9271, 3612, 21661, 12866, 31039, 404, 4572, 2071, 3612, 21661, 720, 76, 5389, 9271, 3612, 2272, 7548, 28, 334, 14, 9854, 3364, 76, 5389, 6085, 78307, 284, 905, 198, 76, 5389, 8496, 840, 672, 11516, 198, 76, 5389, 18567, 2071, 29797, 11516, 4815, 76, 5389, 2036, 5349, 10108, 28, 2414, 198, 76, 5389, 2036, 5349, 20049, 12866, 114724, 5058, 5755, 534, 27, 17869, 6619, 38532, 5389, 4500, 1920, 2723, 1457, 3585, 311, 26667, 49705, 27, 17869, 20434, 29, 23438, 2, 12094, 430, 2882, 99675, 1977, 17088, 198, 53424, 76, 5389, 9271, 3612, 21661, 12866, 31039, 404, 4572, 2071, 3612, 21661, 720, 76, 5389, 9271, 3612, 2272, 7548, 28, 334, 14, 9854, 3364, 76, 5389, 6085, 78307, 284, 905, 198, 76, 5389, 8496, 840, 672, 11516, 198, 76, 5389, 18567, 2071, 29797, 11516, 4815, 76, 5389, 2036, 5349, 10108, 28, 2414, 198, 76, 5389, 2036, 5349, 20049, 12866, 114724, 5058, 5755, 534, 76, 5389, 2036, 5349, 2337, 76931, 7575, 2934, 35817, 1129, 63502, 26017, 5206, 2726, 92667, 14, 1799, 466, 2628, 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 ]
[ 128000, 27, 17869, 24638, 29, 23438, 2, 12094, 430, 2882, 99675, 1977, 17088, 198, 53424, 76, 5389, 9271, 3612, 21661, 12866, 31039, 404, 4572, 2071, 3612, 21661, 720, 76, 5389, 9271, 3612, 2272, 7548, 28, 334, 14, 9854, 3364, 76, 5389, 6085, 78307, 284, 905, 198, 76, 5389, 8496, 840, 672, 11516, 198, 76, 5389, 18567, 2071, 29797, 11516, 4815, 76, 5389, 2036, 5349, 10108, 28, 2414, 198, 76, 5389, 2036, 5349, 20049, 12866, 114724, 5058, 5755, 534, 27, 17869, 6619, 38532, 5389, 4500, 1920, 2723, 1457, 3585, 311, 26667, 49705, 27, 17869, 20434, 29, 23438, 2, 12094, 430, 2882, 99675, 1977, 17088, 198, 53424, 76, 5389, 9271, 3612, 21661, 12866, 31039, 404, 4572, 2071, 3612, 21661, 720, 76, 5389, 9271, 3612, 2272, 7548, 28, 334, 14, 9854, 3364, 76, 5389, 6085, 78307, 284, 905, 198, 76, 5389, 8496, 840, 672, 11516, 198, 76, 5389, 18567, 2071, 29797, 11516, 4815, 76, 5389, 2036, 5349, 10108, 28, 2414, 198, 76, 5389, 2036, 5349, 20049, 12866, 114724, 5058, 5755, 534, 76, 5389, 2036, 5349, 2337, 76931, 7575, 2934, 35817, 1129, 63502, 26017, 5206, 2726, 92667, 14, 1799, 466, 2628, 198, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188 ]
189
[ 128000, 6600, 19995, 93590, 21575, 505, 69894, 1984, 198, 18433, 602, 1097, 3318, 2653, 311, 9041, 701, 1695, 3754, 311, 682, 279, 13537, 430, 602, 617, 311, 1304, 2771, 28876, 4393, 622, 2599, 1111, 2883, 3085, 5334, 311, 682, 889, 1053, 1093, 311, 3243, 832, 4315, 279, 11002, 1511, 9515, 13, 2052, 602, 1097, 10371, 374, 279, 1274, 505, 28876, 4393, 622, 2599, 1111, 311, 387, 48566, 311, 1862, 682, 315, 279, 25923, 13, 1226, 9901, 682, 315, 1884, 889, 3463, 315, 420, 4623, 1606, 433, 8779, 1524, 1884, 889, 527, 539, 3025, 311, 617, 264, 1841, 311, 91028, 430, 4510, 430, 832, 1938, 814, 690, 636, 832, 505, 11002, 1511, 9515, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 6600, 19995, 93590, 21575, 505, 69894, 1984, 198, 18433, 602, 1097, 3318, 2653, 311, 9041, 701, 1695, 3754, 311, 682, 279, 13537, 430, 602, 617, 311, 1304, 2771, 28876, 4393, 622, 2599, 1111, 2883, 3085, 5334, 311, 682, 889, 1053, 1093, 311, 3243, 832, 4315, 279, 11002, 1511, 9515, 13, 2052, 602, 1097, 10371, 374, 279, 1274, 505, 28876, 4393, 622, 2599, 1111, 311, 387, 48566, 311, 1862, 682, 315, 279, 25923, 13, 1226, 9901, 682, 315, 1884, 889, 3463, 315, 420, 4623, 1606, 433, 8779, 1524, 1884, 889, 527, 539, 3025, 311, 617, 264, 1841, 311, 91028, 430, 4510, 430, 832, 1938, 814, 690, 636, 832, 505, 11002, 1511, 9515, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112 ]
113
[ 128000, 78125, 10894, 1070, 574, 264, 892, 994, 6621, 35, 44695, 320, 3791, 33, 11, 356, 13276, 48, 11, 220, 19, 82, 20634, 449, 220, 1041, 2324, 323, 220, 1272, 14, 868, 86131, 8, 1051, 1948, 27087, 3673, 11, 420, 574, 1603, 279, 2466, 1629, 5880, 11164, 67, 5099, 497, 19124, 258, 11670, 294, 17, 279, 1888, 3673, 1051, 279, 436, 5518, 449, 7344, 4376, 315, 279, 5674, 315, 279, 1695, 364, 66, 2739, 301, 6, 9436, 21342, 3673, 315, 6621, 35, 11, 602, 1781, 56803, 1550, 539, 3073, 304, 294, 17, 11670, 323, 653, 8467, 1550, 539, 3073, 369, 25363, 304, 11670, 3060, 13, 4815, 3556, 279, 2237, 2107, 48707, 2349, 11, 279, 8915, 315, 74085, 1550, 1606, 315, 1180, 220, 20, 1367, 13, 220, 6621, 35, 1903, 423, 17, 40425, 11, 1070, 574, 264, 1633, 1695, 16665, 430, 6621, 35, 5918, 389, 323, 602, 1781, 430, 374, 832, 3245, 430, 294, 17, 706, 927, 294, 18, 1606, 439, 1790, 439, 602, 4774, 294, 18, 11, 5729, 625, 279, 1890, 10691, 389, 1475, 3752, 11321, 48008, 11, 602, 1101, 2216, 14333, 279, 810, 8915, 7728, 49485, 365, 541, 4668, 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 ]
[ 128000, 78125, 10894, 1070, 574, 264, 892, 994, 6621, 35, 44695, 320, 3791, 33, 11, 356, 13276, 48, 11, 220, 19, 82, 20634, 449, 220, 1041, 2324, 323, 220, 1272, 14, 868, 86131, 8, 1051, 1948, 27087, 3673, 11, 420, 574, 1603, 279, 2466, 1629, 5880, 11164, 67, 5099, 497, 19124, 258, 11670, 294, 17, 279, 1888, 3673, 1051, 279, 436, 5518, 449, 7344, 4376, 315, 279, 5674, 315, 279, 1695, 364, 66, 2739, 301, 6, 9436, 21342, 3673, 315, 6621, 35, 11, 602, 1781, 56803, 1550, 539, 3073, 304, 294, 17, 11670, 323, 653, 8467, 1550, 539, 3073, 369, 25363, 304, 11670, 3060, 13, 4815, 3556, 279, 2237, 2107, 48707, 2349, 11, 279, 8915, 315, 74085, 1550, 1606, 315, 1180, 220, 20, 1367, 13, 220, 6621, 35, 1903, 423, 17, 40425, 11, 1070, 574, 264, 1633, 1695, 16665, 430, 6621, 35, 5918, 389, 323, 602, 1781, 430, 374, 832, 3245, 430, 294, 17, 706, 927, 294, 18, 1606, 439, 1790, 439, 602, 4774, 294, 18, 11, 5729, 625, 279, 1890, 10691, 389, 1475, 3752, 11321, 48008, 11, 602, 1101, 2216, 14333, 279, 810, 8915, 7728, 49485, 365, 541, 4668, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 ]
192
[ 128000, 53, 13603, 514, 1370, 351, 4714, 383, 220, 15537, 320, 2879, 30768, 735, 11, 12769, 4194, 50817, 768, 1880, 38605, 6200, 343, 768, 4194, 123996, 3930, 57485, 39474, 382, 13191, 499, 4587, 15025, 420, 311, 6498, 5380, 10031, 3857, 30768, 320, 42, 705, 46784, 323, 59357, 11, 14646, 220, 15537, 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 ]
[ 128000, 53, 13603, 514, 1370, 351, 4714, 383, 220, 15537, 320, 2879, 30768, 735, 11, 12769, 4194, 50817, 768, 1880, 38605, 6200, 343, 768, 4194, 123996, 3930, 57485, 39474, 382, 13191, 499, 4587, 15025, 420, 311, 6498, 5380, 10031, 3857, 30768, 320, 42, 705, 46784, 323, 59357, 11, 14646, 220, 15537, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52 ]
53
[ 128000, 3923, 596, 264, 15730, 311, 656, 1980, 40, 3077, 1027, 3411, 520, 3892, 304, 1732, 17895, 10756, 11, 2533, 358, 2846, 539, 5535, 311, 3780, 2574, 2930, 13, 38300, 374, 11, 358, 8434, 956, 387, 3025, 311, 733, 311, 1124, 311, 3780, 10026, 33449, 287, 15447, 13, 358, 1053, 912, 10712, 636, 9567, 709, 555, 1063, 315, 279, 810, 29703, 73222, 889, 1093, 311, 15020, 704, 2212, 1070, 11, 1606, 358, 1427, 1093, 264, 8334, 323, 358, 2846, 12096, 46284, 17895, 320, 7009, 3077, 2884, 433, 1603, 311, 1063, 1023, 350, 3828, 922, 1060, 1603, 1364, 7882, 704, 570, 358, 1541, 956, 1440, 1148, 311, 656, 11, 323, 358, 1541, 956, 1390, 311, 3868, 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 ]
[ 128000, 3923, 596, 264, 15730, 311, 656, 1980, 40, 3077, 1027, 3411, 520, 3892, 304, 1732, 17895, 10756, 11, 2533, 358, 2846, 539, 5535, 311, 3780, 2574, 2930, 13, 38300, 374, 11, 358, 8434, 956, 387, 3025, 311, 733, 311, 1124, 311, 3780, 10026, 33449, 287, 15447, 13, 358, 1053, 912, 10712, 636, 9567, 709, 555, 1063, 315, 279, 810, 29703, 73222, 889, 1093, 311, 15020, 704, 2212, 1070, 11, 1606, 358, 1427, 1093, 264, 8334, 323, 358, 2846, 12096, 46284, 17895, 320, 7009, 3077, 2884, 433, 1603, 311, 1063, 1023, 350, 3828, 922, 1060, 1603, 1364, 7882, 704, 570, 358, 1541, 956, 1440, 1148, 311, 656, 11, 323, 358, 1541, 956, 1390, 311, 3868, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116 ]
117
[ 128000, 19312, 287, 323, 17931, 315, 4411, 395, 11, 14807, 304, 44780, 4221, 369, 4411, 395, 449, 4528, 323, 14329, 4339, 13, 7429, 1505, 22066, 71722, 315, 4411, 395, 304, 44780, 323, 304, 6498, 4221, 627, 3923, 4411, 395, 3445, 304, 44780, 11, 4411, 395, 7438, 304, 44780, 11, 4411, 395, 7419, 11, 10507, 323, 71722, 315, 4411, 395, 304, 44780, 4221, 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 ]
[ 128000, 19312, 287, 323, 17931, 315, 4411, 395, 11, 14807, 304, 44780, 4221, 369, 4411, 395, 449, 4528, 323, 14329, 4339, 13, 7429, 1505, 22066, 71722, 315, 4411, 395, 304, 44780, 323, 304, 6498, 4221, 627, 3923, 4411, 395, 3445, 304, 44780, 11, 4411, 395, 7438, 304, 44780, 11, 4411, 395, 7419, 11, 10507, 323, 71722, 315, 4411, 395, 304, 44780, 4221, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63 ]
64
[ 128000, 23307, 276, 1766, 264, 2162, 1364, 4934, 311, 3780, 13, 1102, 574, 13234, 1949, 323, 2867, 555, 1403, 29920, 1274, 889, 1051, 9293, 311, 3351, 1139, 264, 1790, 9333, 44200, 13, 51206, 6688, 279, 3838, 264, 17879, 26767, 389, 1077, 1866, 13, 8876, 1364, 1047, 264, 8547, 304, 18112, 11, 1364, 1047, 459, 9250, 2733, 369, 1148, 2643, 387, 5076, 449, 264, 3424, 13, 3005, 16914, 264, 6129, 3575, 13, 12220, 51206, 753, 26767, 11, 1364, 10555, 430, 279, 3838, 8272, 279, 32366, 31332, 315, 279, 24898, 389, 832, 3185, 13, 763, 1023, 4339, 11, 279, 3838, 389, 279, 9909, 3185, 11, 1405, 279, 24898, 11299, 3201, 11, 574, 3604, 4827, 1109, 389, 279, 11226, 3185, 13, 1115, 1047, 19543, 304, 1063, 27545, 8631, 45963, 304, 279, 16665, 323, 5115, 264, 2478, 2678, 45963, 389, 279, 14620, 4871, 13, 4452, 11, 279, 29920, 4662, 5879, 388, 1047, 12439, 1070, 369, 1667, 323, 11, 439, 264, 1121, 11, 1047, 2646, 14000, 279, 53722, 4442, 315, 279, 3424, 13, 2435, 6612, 279, 12309, 9099, 45963, 304, 279, 15135, 14620, 1051, 4245, 311, 1054, 53980, 52945, 2029, 11205, 1972, 12675, 8479, 3287, 1431, 13383, 1070, 574, 264, 3575, 3060, 627, 23307, 276, 1903, 459, 3085, 13, 2030, 4619, 315, 12967, 1077, 10742, 1139, 279, 1825, 11, 1364, 51578, 279, 1888, 3430, 439, 422, 279, 3838, 1047, 912, 42655, 627, 8100, 1550, 11, 4869, 11, 32262, 389, 264, 6721, 2162, 26767, 323, 1903, 279, 3568, 59575, 5304, 1077, 77258, 279, 1934, 13, 578, 4662, 5879, 388, 11, 8430, 682, 574, 1664, 11, 40588, 7913, 5694, 389, 264, 6412, 323, 6656, 2212, 323, 11021, 264, 44200, 814, 1047, 1027, 8071, 287, 627, 23307, 276, 22163, 264, 24693, 24490, 311, 25052, 279, 3424, 11, 323, 568, 6288, 11352, 279, 23011, 323, 10555, 433, 304, 279, 26767, 1934, 627, 12487, 51206, 2663, 704, 279, 1455, 11646, 8246, 2883, 304, 279, 3158, 311, 3041, 264, 14435, 389, 31286, 13, 17830, 11, 17903, 449, 279, 1934, 323, 279, 14435, 11, 1364, 2663, 389, 279, 37249, 627, 23307, 276, 753, 14435, 369, 31286, 574, 7373, 264, 4948, 315, 279, 6763, 3430, 0, 578, 4662, 5879, 388, 1051, 27718, 13, 2030, 279, 6721, 26767, 1934, 1047, 1027, 13375, 555, 264, 7701, 56940, 45825, 11, 439, 872, 1866, 8479, 10555, 13, 1628, 279, 8246, 2883, 430, 6688, 279, 14435, 574, 832, 315, 279, 1888, 304, 279, 3158, 13, 2100, 814, 6612, 814, 1436, 539, 29546, 8815, 279, 1934, 477, 279, 7194, 315, 13023, 627, 31428, 11, 555, 1457, 279, 37249, 1047, 11411, 311, 23395, 2500, 2162, 13, 1442, 814, 1051, 311, 1203, 704, 315, 51206, 753, 3568, 11, 814, 1053, 9229, 279, 9333, 21624, 44200, 814, 4934, 13, 17830, 11, 814, 6612, 430, 912, 5634, 5879, 466, 889, 11021, 872, 3838, 11, 814, 1053, 617, 311, 8108, 279, 3430, 32302, 13, 320, 791, 10778, 315, 3515, 279, 990, 2884, 5694, 574, 5042, 2288, 22798, 369, 1124, 6266, 763, 279, 842, 11, 814, 7378, 311, 264, 832, 30277, 3430, 14278, 627, 23307, 276, 6288, 11021, 279, 3424, 323, 7882, 304, 13, 3005, 753, 2103, 5496, 1070, 323, 12775, 1431, 2884, 904, 13023, 990, 13, 4740, 682, 11, 1070, 574, 4400, 11660, 922, 279, 3044, 13, 3005, 706, 281, 12400, 11937, 389, 279, 1203, 1690, 3115, 922, 1077, 559, 4361, 67, 9341, 13, 1666, 369, 279, 37249, 11, 814, 1051, 704, 264, 24779, 3392, 315, 3300, 430, 814, 1047, 31094, 389, 1701, 369, 872, 21624, 627, 1966, 279, 1023, 1450, 11, 51206, 2643, 617, 10555, 279, 3575, 449, 279, 3838, 520, 279, 892, 1364, 1903, 1077, 3085, 13, 23150, 11, 1364, 2643, 617, 1903, 264, 4827, 3085, 15453, 1606, 315, 433, 627, 2170, 264, 1121, 11, 279, 37249, 1053, 617, 1027, 1903, 8010, 323, 2643, 617, 22163, 872, 1866, 45825, 311, 1817, 433, 704, 13, 15903, 11, 814, 2643, 617, 17454, 44599, 505, 3892, 33840, 430, 1436, 617, 1027, 8531, 127552, 98864, 4827, 1109, 279, 14435, 51206, 2751, 13, 1628, 1606, 420, 1053, 617, 1027, 2884, 2391, 279, 2926, 24345, 11, 814, 8434, 1431, 617, 470, 5879, 296, 3847, 311, 3780, 2500, 3838, 323, 1053, 617, 6612, 1949, 311, 2543, 51206, 1523, 422, 1077, 3085, 574, 2288, 3428, 13, 763, 2875, 11, 422, 51206, 1047, 1027, 26549, 31439, 11, 1364, 4762, 1053, 2646, 617, 1027, 3025, 311, 28605, 5879, 4325, 279, 3430, 439, 3428, 439, 1364, 1047, 3196, 389, 279, 26767, 1934, 627, 2460, 315, 420, 3727, 433, 5222, 439, 3582, 51206, 574, 264, 559, 4361, 67, 26171, 13, 4452, 11, 220, 16, 656, 539, 16102, 29251, 315, 1077, 5603, 323, 656, 539, 29115, 477, 9955, 606, 433, 13, 15903, 11, 358, 16917, 4510, 11, 1054, 3923, 5900, 2212, 4131, 2212, 2029, 763, 856, 1866, 2324, 11, 358, 4070, 32126, 264, 3738, 8045, 5879, 33342, 11, 12437, 11, 8335, 11, 477, 8996, 499, 2643, 1390, 311, 1650, 433, 11, 311, 279, 15861, 13, 1442, 499, 41868, 4423, 11, 304, 856, 3217, 11, 430, 690, 2586, 1203, 311, 84758, 499, 627, 644, 51206, 753, 1162, 320, 677, 18785, 539, 1077, 1972, 836, 705, 420, 1550, 3621, 13, 358, 5602, 1077, 7154, 220, 605, 1667, 3010, 994, 1364, 574, 4560, 311, 594, 616, 279, 2047, 5879, 1368, 13, 4452, 11, 555, 1243, 279, 58097, 389, 279, 3185, 315, 279, 3838, 449, 279, 32366, 31332, 1047, 49858, 11, 323, 1790, 315, 279, 16665, 1047, 35906, 43939, 13, 2684, 574, 912, 8770, 1802, 311, 5606, 889, 7111, 430, 1070, 574, 264, 15748, 3575, 1618, 13, 23150, 11, 279, 1972, 12675, 8479, 11, 6056, 46431, 311, 6144, 5678, 505, 904, 24305, 11, 2663, 304, 264, 3363, 45825, 889, 40522, 39025, 279, 3838, 4999, 791, 709, 6474, 574, 430, 1418, 279, 2763, 14958, 15525, 11, 279, 3838, 1047, 311, 387, 6724, 21830, 1523, 13, 763, 279, 842, 11, 51206, 2751, 2753, 369, 279, 3424, 11, 24257, 369, 25544, 11, 1306, 220, 605, 1667, 1109, 1364, 13517, 7318, 369, 433, 627, 644, 420, 837, 3187, 11, 51206, 2216, 1550, 1935, 9610, 315, 29920, 37249, 11, 8051, 4762, 539, 304, 264, 1648, 430, 1436, 636, 1077, 1139, 6129, 12544, 13, 4452, 11, 304, 4689, 11, 5423, 994, 14892, 449, 279, 29920, 304, 1972, 12675, 11, 433, 374, 3062, 539, 311, 43844, 1054, 1263, 361, 10383, 2029, 3011, 1675, 5879, 39673, 3445, 430, 499, 1288, 539, 1935, 9610, 315, 904, 5879, 832, 1606, 315, 701, 5133, 449, 1461, 477, 1077, 627, 2746, 499, 636, 264, 2731, 3568, 1606, 315, 264, 23011, 304, 279, 3838, 11, 636, 279, 23011, 8521, 13, 1789, 3187, 11, 8051, 23989, 323, 53391, 2751, 400, 605, 11, 931, 1022, 279, 3430, 1606, 315, 264, 3650, 5879, 3516, 15485, 304, 1057, 6931, 3187, 11, 23989, 1550, 5155, 279, 3650, 5879, 3516, 11, 1524, 3582, 568, 1550, 433, 369, 3117, 2753, 3300, 13, 1442, 51206, 1047, 4529, 2512, 315, 279, 52945, 3575, 994, 1364, 4087, 5879, 331, 1503, 279, 3838, 11, 1364, 4762, 1053, 539, 617, 1047, 264, 3682, 3575, 1667, 3010, 627, 791, 2162, 26767, 1934, 649, 387, 264, 5505, 44725, 5507, 311, 33164, 3430, 304, 264, 1972, 12675, 3568, 13, 4452, 11, 433, 649, 387, 264, 2033, 35535, 3640, 20827, 13, 18156, 433, 649, 1520, 279, 26171, 662, 662, 662, 323, 1023, 3115, 279, 23703, 627, 50179, 323, 1183, 2690, 3277, 75311, 23747, 8976, 25447, 25, 8595, 19418, 82188, 24133, 264, 5492, 67046, 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 ]
[ 128000, 23307, 276, 1766, 264, 2162, 1364, 4934, 311, 3780, 13, 1102, 574, 13234, 1949, 323, 2867, 555, 1403, 29920, 1274, 889, 1051, 9293, 311, 3351, 1139, 264, 1790, 9333, 44200, 13, 51206, 6688, 279, 3838, 264, 17879, 26767, 389, 1077, 1866, 13, 8876, 1364, 1047, 264, 8547, 304, 18112, 11, 1364, 1047, 459, 9250, 2733, 369, 1148, 2643, 387, 5076, 449, 264, 3424, 13, 3005, 16914, 264, 6129, 3575, 13, 12220, 51206, 753, 26767, 11, 1364, 10555, 430, 279, 3838, 8272, 279, 32366, 31332, 315, 279, 24898, 389, 832, 3185, 13, 763, 1023, 4339, 11, 279, 3838, 389, 279, 9909, 3185, 11, 1405, 279, 24898, 11299, 3201, 11, 574, 3604, 4827, 1109, 389, 279, 11226, 3185, 13, 1115, 1047, 19543, 304, 1063, 27545, 8631, 45963, 304, 279, 16665, 323, 5115, 264, 2478, 2678, 45963, 389, 279, 14620, 4871, 13, 4452, 11, 279, 29920, 4662, 5879, 388, 1047, 12439, 1070, 369, 1667, 323, 11, 439, 264, 1121, 11, 1047, 2646, 14000, 279, 53722, 4442, 315, 279, 3424, 13, 2435, 6612, 279, 12309, 9099, 45963, 304, 279, 15135, 14620, 1051, 4245, 311, 1054, 53980, 52945, 2029, 11205, 1972, 12675, 8479, 3287, 1431, 13383, 1070, 574, 264, 3575, 3060, 627, 23307, 276, 1903, 459, 3085, 13, 2030, 4619, 315, 12967, 1077, 10742, 1139, 279, 1825, 11, 1364, 51578, 279, 1888, 3430, 439, 422, 279, 3838, 1047, 912, 42655, 627, 8100, 1550, 11, 4869, 11, 32262, 389, 264, 6721, 2162, 26767, 323, 1903, 279, 3568, 59575, 5304, 1077, 77258, 279, 1934, 13, 578, 4662, 5879, 388, 11, 8430, 682, 574, 1664, 11, 40588, 7913, 5694, 389, 264, 6412, 323, 6656, 2212, 323, 11021, 264, 44200, 814, 1047, 1027, 8071, 287, 627, 23307, 276, 22163, 264, 24693, 24490, 311, 25052, 279, 3424, 11, 323, 568, 6288, 11352, 279, 23011, 323, 10555, 433, 304, 279, 26767, 1934, 627, 12487, 51206, 2663, 704, 279, 1455, 11646, 8246, 2883, 304, 279, 3158, 311, 3041, 264, 14435, 389, 31286, 13, 17830, 11, 17903, 449, 279, 1934, 323, 279, 14435, 11, 1364, 2663, 389, 279, 37249, 627, 23307, 276, 753, 14435, 369, 31286, 574, 7373, 264, 4948, 315, 279, 6763, 3430, 0, 578, 4662, 5879, 388, 1051, 27718, 13, 2030, 279, 6721, 26767, 1934, 1047, 1027, 13375, 555, 264, 7701, 56940, 45825, 11, 439, 872, 1866, 8479, 10555, 13, 1628, 279, 8246, 2883, 430, 6688, 279, 14435, 574, 832, 315, 279, 1888, 304, 279, 3158, 13, 2100, 814, 6612, 814, 1436, 539, 29546, 8815, 279, 1934, 477, 279, 7194, 315, 13023, 627, 31428, 11, 555, 1457, 279, 37249, 1047, 11411, 311, 23395, 2500, 2162, 13, 1442, 814, 1051, 311, 1203, 704, 315, 51206, 753, 3568, 11, 814, 1053, 9229, 279, 9333, 21624, 44200, 814, 4934, 13, 17830, 11, 814, 6612, 430, 912, 5634, 5879, 466, 889, 11021, 872, 3838, 11, 814, 1053, 617, 311, 8108, 279, 3430, 32302, 13, 320, 791, 10778, 315, 3515, 279, 990, 2884, 5694, 574, 5042, 2288, 22798, 369, 1124, 6266, 763, 279, 842, 11, 814, 7378, 311, 264, 832, 30277, 3430, 14278, 627, 23307, 276, 6288, 11021, 279, 3424, 323, 7882, 304, 13, 3005, 753, 2103, 5496, 1070, 323, 12775, 1431, 2884, 904, 13023, 990, 13, 4740, 682, 11, 1070, 574, 4400, 11660, 922, 279, 3044, 13, 3005, 706, 281, 12400, 11937, 389, 279, 1203, 1690, 3115, 922, 1077, 559, 4361, 67, 9341, 13, 1666, 369, 279, 37249, 11, 814, 1051, 704, 264, 24779, 3392, 315, 3300, 430, 814, 1047, 31094, 389, 1701, 369, 872, 21624, 627, 1966, 279, 1023, 1450, 11, 51206, 2643, 617, 10555, 279, 3575, 449, 279, 3838, 520, 279, 892, 1364, 1903, 1077, 3085, 13, 23150, 11, 1364, 2643, 617, 1903, 264, 4827, 3085, 15453, 1606, 315, 433, 627, 2170, 264, 1121, 11, 279, 37249, 1053, 617, 1027, 1903, 8010, 323, 2643, 617, 22163, 872, 1866, 45825, 311, 1817, 433, 704, 13, 15903, 11, 814, 2643, 617, 17454, 44599, 505, 3892, 33840, 430, 1436, 617, 1027, 8531, 127552, 98864, 4827, 1109, 279, 14435, 51206, 2751, 13, 1628, 1606, 420, 1053, 617, 1027, 2884, 2391, 279, 2926, 24345, 11, 814, 8434, 1431, 617, 470, 5879, 296, 3847, 311, 3780, 2500, 3838, 323, 1053, 617, 6612, 1949, 311, 2543, 51206, 1523, 422, 1077, 3085, 574, 2288, 3428, 13, 763, 2875, 11, 422, 51206, 1047, 1027, 26549, 31439, 11, 1364, 4762, 1053, 2646, 617, 1027, 3025, 311, 28605, 5879, 4325, 279, 3430, 439, 3428, 439, 1364, 1047, 3196, 389, 279, 26767, 1934, 627, 2460, 315, 420, 3727, 433, 5222, 439, 3582, 51206, 574, 264, 559, 4361, 67, 26171, 13, 4452, 11, 220, 16, 656, 539, 16102, 29251, 315, 1077, 5603, 323, 656, 539, 29115, 477, 9955, 606, 433, 13, 15903, 11, 358, 16917, 4510, 11, 1054, 3923, 5900, 2212, 4131, 2212, 2029, 763, 856, 1866, 2324, 11, 358, 4070, 32126, 264, 3738, 8045, 5879, 33342, 11, 12437, 11, 8335, 11, 477, 8996, 499, 2643, 1390, 311, 1650, 433, 11, 311, 279, 15861, 13, 1442, 499, 41868, 4423, 11, 304, 856, 3217, 11, 430, 690, 2586, 1203, 311, 84758, 499, 627, 644, 51206, 753, 1162, 320, 677, 18785, 539, 1077, 1972, 836, 705, 420, 1550, 3621, 13, 358, 5602, 1077, 7154, 220, 605, 1667, 3010, 994, 1364, 574, 4560, 311, 594, 616, 279, 2047, 5879, 1368, 13, 4452, 11, 555, 1243, 279, 58097, 389, 279, 3185, 315, 279, 3838, 449, 279, 32366, 31332, 1047, 49858, 11, 323, 1790, 315, 279, 16665, 1047, 35906, 43939, 13, 2684, 574, 912, 8770, 1802, 311, 5606, 889, 7111, 430, 1070, 574, 264, 15748, 3575, 1618, 13, 23150, 11, 279, 1972, 12675, 8479, 11, 6056, 46431, 311, 6144, 5678, 505, 904, 24305, 11, 2663, 304, 264, 3363, 45825, 889, 40522, 39025, 279, 3838, 4999, 791, 709, 6474, 574, 430, 1418, 279, 2763, 14958, 15525, 11, 279, 3838, 1047, 311, 387, 6724, 21830, 1523, 13, 763, 279, 842, 11, 51206, 2751, 2753, 369, 279, 3424, 11, 24257, 369, 25544, 11, 1306, 220, 605, 1667, 1109, 1364, 13517, 7318, 369, 433, 627, 644, 420, 837, 3187, 11, 51206, 2216, 1550, 1935, 9610, 315, 29920, 37249, 11, 8051, 4762, 539, 304, 264, 1648, 430, 1436, 636, 1077, 1139, 6129, 12544, 13, 4452, 11, 304, 4689, 11, 5423, 994, 14892, 449, 279, 29920, 304, 1972, 12675, 11, 433, 374, 3062, 539, 311, 43844, 1054, 1263, 361, 10383, 2029, 3011, 1675, 5879, 39673, 3445, 430, 499, 1288, 539, 1935, 9610, 315, 904, 5879, 832, 1606, 315, 701, 5133, 449, 1461, 477, 1077, 627, 2746, 499, 636, 264, 2731, 3568, 1606, 315, 264, 23011, 304, 279, 3838, 11, 636, 279, 23011, 8521, 13, 1789, 3187, 11, 8051, 23989, 323, 53391, 2751, 400, 605, 11, 931, 1022, 279, 3430, 1606, 315, 264, 3650, 5879, 3516, 15485, 304, 1057, 6931, 3187, 11, 23989, 1550, 5155, 279, 3650, 5879, 3516, 11, 1524, 3582, 568, 1550, 433, 369, 3117, 2753, 3300, 13, 1442, 51206, 1047, 4529, 2512, 315, 279, 52945, 3575, 994, 1364, 4087, 5879, 331, 1503, 279, 3838, 11, 1364, 4762, 1053, 539, 617, 1047, 264, 3682, 3575, 1667, 3010, 627, 791, 2162, 26767, 1934, 649, 387, 264, 5505, 44725, 5507, 311, 33164, 3430, 304, 264, 1972, 12675, 3568, 13, 4452, 11, 433, 649, 387, 264, 2033, 35535, 3640, 20827, 13, 18156, 433, 649, 1520, 279, 26171, 662, 662, 662, 323, 1023, 3115, 279, 23703, 627, 50179, 323, 1183, 2690, 3277, 75311, 23747, 8976, 25447, 25, 8595, 19418, 82188, 24133, 264, 5492, 67046, 30, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216 ]
1,217
[ 128000, 2000, 13618, 304, 386, 388, 258, 220, 19, 48840, 53889, 220, 5245, 296, 17, 449, 16700, 6325, 11, 3544, 44952, 220, 508, 76, 17, 449, 9581, 6325, 11, 4519, 28689, 482, 220, 18, 449, 3805, 35121, 11, 304, 6822, 1070, 374, 264, 220, 17, 49607, 11, 1866, 15197, 11, 17639, 13691, 11, 44952, 13, 763, 2911, 220, 17, 58355, 4950, 323, 220, 17, 10716, 1481, 6910, 13, 279, 15197, 374, 6908, 13, 14891, 11, 26863, 11, 34802, 13, 2057, 279, 9581, 220, 966, 20645, 11, 264, 879, 11573, 449, 264, 22710, 323, 9722, 331, 4825, 13, 578, 18455, 374, 64263, 13, 2684, 527, 220, 22, 34239, 449, 3090, 22245, 13, 220, 17, 70151, 11, 220, 16, 7463, 369, 43515, 11, 264, 8149, 315, 220, 20, 296, 13, 26778, 53050, 16283, 11, 30687, 10756, 13, 9877, 11, 6366, 6307, 3158, 11, 19111, 3009, 3221, 279, 3838, 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 ]
[ 128000, 2000, 13618, 304, 386, 388, 258, 220, 19, 48840, 53889, 220, 5245, 296, 17, 449, 16700, 6325, 11, 3544, 44952, 220, 508, 76, 17, 449, 9581, 6325, 11, 4519, 28689, 482, 220, 18, 449, 3805, 35121, 11, 304, 6822, 1070, 374, 264, 220, 17, 49607, 11, 1866, 15197, 11, 17639, 13691, 11, 44952, 13, 763, 2911, 220, 17, 58355, 4950, 323, 220, 17, 10716, 1481, 6910, 13, 279, 15197, 374, 6908, 13, 14891, 11, 26863, 11, 34802, 13, 2057, 279, 9581, 220, 966, 20645, 11, 264, 879, 11573, 449, 264, 22710, 323, 9722, 331, 4825, 13, 578, 18455, 374, 64263, 13, 2684, 527, 220, 22, 34239, 449, 3090, 22245, 13, 220, 17, 70151, 11, 220, 16, 7463, 369, 43515, 11, 264, 8149, 315, 220, 20, 296, 13, 26778, 53050, 16283, 11, 30687, 10756, 13, 9877, 11, 6366, 6307, 3158, 11, 19111, 3009, 3221, 279, 3838, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147 ]
148
[ 128000, 1187, 73585, 46540, 2597, 499, 304, 420, 21182, 13470, 8667, 555, 279, 11495, 88983, 18145, 1412, 263, 315, 12366, 627, 2028, 11599, 13470, 374, 264, 5016, 6776, 311, 7142, 477, 21540, 3773, 279, 61353, 27121, 315, 279, 88983, 18145, 1412, 263, 409, 12366, 627, 2028, 11495, 3838, 3196, 389, 11004, 409, 1208, 19332, 92933, 374, 37048, 15603, 369, 1202, 19913, 56780, 17404, 13, 78811, 304, 220, 9367, 21, 11, 433, 14861, 3892, 3691, 31442, 25, 61353, 266, 39909, 11, 74155, 11, 66244, 11, 390, 13421, 727, 11, 719, 1101, 54929, 323, 54929, 627, 2654, 688, 17263, 482, 18145, 1412, 263, 374, 1101, 2561, 304, 6984, 311, 20587, 11, 1789, 2911, 11, 10280, 73585, 3956, 11, 328, 26488, 612, 32656, 662, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1187, 73585, 46540, 2597, 499, 304, 420, 21182, 13470, 8667, 555, 279, 11495, 88983, 18145, 1412, 263, 315, 12366, 627, 2028, 11599, 13470, 374, 264, 5016, 6776, 311, 7142, 477, 21540, 3773, 279, 61353, 27121, 315, 279, 88983, 18145, 1412, 263, 409, 12366, 627, 2028, 11495, 3838, 3196, 389, 11004, 409, 1208, 19332, 92933, 374, 37048, 15603, 369, 1202, 19913, 56780, 17404, 13, 78811, 304, 220, 9367, 21, 11, 433, 14861, 3892, 3691, 31442, 25, 61353, 266, 39909, 11, 74155, 11, 66244, 11, 390, 13421, 727, 11, 719, 1101, 54929, 323, 54929, 627, 2654, 688, 17263, 482, 18145, 1412, 263, 374, 1101, 2561, 304, 6984, 311, 20587, 11, 1789, 2911, 11, 10280, 73585, 3956, 11, 328, 26488, 612, 32656, 662, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121 ]
122
[ 128000, 644, 376, 521, 1525, 278, 28968, 811, 304, 87597, 323, 22302, 292, 39995, 7709, 315, 17736, 31021, 1073, 31021, 10369, 271, 13246, 279, 36899, 323, 958, 64709, 27339, 304, 3160, 31021, 1073, 31021, 1316, 320, 1623, 35, 705, 27339, 389, 10805, 521, 1525, 278, 3115, 31296, 320, 19862, 82, 24210, 1109, 220, 10750, 2919, 8, 527, 1101, 47904, 9057, 555, 4442, 304, 279, 20932, 24151, 315, 279, 1167, 25180, 29592, 13, 2030, 279, 9333, 10805, 521, 1525, 278, 88063, 25435, 811, 505, 45475, 7479, 7410, 11, 18435, 292, 60701, 11, 323, 279, 18435, 5740, 7410, 527, 2753, 2867, 13, 5810, 34932, 3321, 5578, 30770, 374, 9435, 311, 43223, 10805, 521, 1525, 278, 17738, 505, 2225, 3980, 347, 37774, 13468, 88063, 3521, 7709, 320, 8846, 268, 311, 3980, 347, 5411, 3521, 7709, 369, 19679, 8, 323, 45475, 323, 18435, 292, 88063, 25435, 811, 13, 20817, 389, 16994, 12593, 1990, 1521, 1403, 31021, 40541, 7709, 4101, 11, 584, 1505, 430, 2391, 220, 2550, 18, 4235, 679, 23, 11, 45475, 29592, 8108, 279, 78278, 315, 13468, 10805, 521, 1525, 278, 88063, 4101, 505, 220, 16660, 13, 16, 311, 220, 2131, 13, 21, 33983, 82, 449, 264, 26670, 36706, 315, 220, 15, 13, 25476, 20, 13, 56221, 279, 2515, 315, 7479, 7410, 4442, 449, 430, 315, 279, 29592, 11293, 279, 78278, 505, 220, 2131, 13, 21, 311, 220, 3391, 13, 18, 33983, 82, 11, 323, 7319, 279, 26670, 36706, 449, 279, 24654, 505, 220, 15, 13, 25476, 20, 311, 220, 15, 13, 24538, 19, 13, 23212, 11, 2737, 279, 6372, 315, 4442, 304, 18435, 292, 60701, 323, 5740, 7410, 4726, 11293, 279, 78278, 505, 220, 3391, 13, 18, 311, 220, 1644, 13, 24, 33983, 82, 11, 323, 4726, 7319, 279, 26670, 36706, 505, 220, 15, 13, 24538, 19, 311, 220, 15, 13, 24242, 16, 13, 14636, 11, 8051, 279, 5536, 315, 54280, 374, 12309, 9099, 11, 12401, 9306, 449, 279, 24654, 304, 279, 10805, 521, 1525, 278, 11900, 7200, 374, 12457, 994, 279, 6372, 315, 18435, 292, 11618, 527, 3779, 311, 430, 315, 45475, 13, 578, 78278, 2819, 323, 26670, 37929, 315, 469, 9691, 37432, 57, 323, 17542, 1937, 33247, 4101, 527, 2731, 1109, 452, 2152, 47, 323, 78416, 46, 304, 1475, 3777, 11, 19392, 430, 452, 2152, 47, 1646, 743, 374, 8965, 66281, 1109, 469, 9691, 37432, 57, 304, 279, 10805, 521, 1525, 278, 7200, 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 ]
[ 128000, 644, 376, 521, 1525, 278, 28968, 811, 304, 87597, 323, 22302, 292, 39995, 7709, 315, 17736, 31021, 1073, 31021, 10369, 271, 13246, 279, 36899, 323, 958, 64709, 27339, 304, 3160, 31021, 1073, 31021, 1316, 320, 1623, 35, 705, 27339, 389, 10805, 521, 1525, 278, 3115, 31296, 320, 19862, 82, 24210, 1109, 220, 10750, 2919, 8, 527, 1101, 47904, 9057, 555, 4442, 304, 279, 20932, 24151, 315, 279, 1167, 25180, 29592, 13, 2030, 279, 9333, 10805, 521, 1525, 278, 88063, 25435, 811, 505, 45475, 7479, 7410, 11, 18435, 292, 60701, 11, 323, 279, 18435, 5740, 7410, 527, 2753, 2867, 13, 5810, 34932, 3321, 5578, 30770, 374, 9435, 311, 43223, 10805, 521, 1525, 278, 17738, 505, 2225, 3980, 347, 37774, 13468, 88063, 3521, 7709, 320, 8846, 268, 311, 3980, 347, 5411, 3521, 7709, 369, 19679, 8, 323, 45475, 323, 18435, 292, 88063, 25435, 811, 13, 20817, 389, 16994, 12593, 1990, 1521, 1403, 31021, 40541, 7709, 4101, 11, 584, 1505, 430, 2391, 220, 2550, 18, 4235, 679, 23, 11, 45475, 29592, 8108, 279, 78278, 315, 13468, 10805, 521, 1525, 278, 88063, 4101, 505, 220, 16660, 13, 16, 311, 220, 2131, 13, 21, 33983, 82, 449, 264, 26670, 36706, 315, 220, 15, 13, 25476, 20, 13, 56221, 279, 2515, 315, 7479, 7410, 4442, 449, 430, 315, 279, 29592, 11293, 279, 78278, 505, 220, 2131, 13, 21, 311, 220, 3391, 13, 18, 33983, 82, 11, 323, 7319, 279, 26670, 36706, 449, 279, 24654, 505, 220, 15, 13, 25476, 20, 311, 220, 15, 13, 24538, 19, 13, 23212, 11, 2737, 279, 6372, 315, 4442, 304, 18435, 292, 60701, 323, 5740, 7410, 4726, 11293, 279, 78278, 505, 220, 3391, 13, 18, 311, 220, 1644, 13, 24, 33983, 82, 11, 323, 4726, 7319, 279, 26670, 36706, 505, 220, 15, 13, 24538, 19, 311, 220, 15, 13, 24242, 16, 13, 14636, 11, 8051, 279, 5536, 315, 54280, 374, 12309, 9099, 11, 12401, 9306, 449, 279, 24654, 304, 279, 10805, 521, 1525, 278, 11900, 7200, 374, 12457, 994, 279, 6372, 315, 18435, 292, 11618, 527, 3779, 311, 430, 315, 45475, 13, 578, 78278, 2819, 323, 26670, 37929, 315, 469, 9691, 37432, 57, 323, 17542, 1937, 33247, 4101, 527, 2731, 1109, 452, 2152, 47, 323, 78416, 46, 304, 1475, 3777, 11, 19392, 430, 452, 2152, 47, 1646, 743, 374, 8965, 66281, 1109, 469, 9691, 37432, 57, 304, 279, 10805, 521, 1525, 278, 7200, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394 ]
395
[ 128000, 791, 37912, 315, 279, 362, 3059, 2111, 78, 12517, 374, 7559, 304, 279, 4851, 315, 279, 2486, 8362, 660, 5654, 315, 279, 17440, 299, 627, 791, 47625, 5029, 505, 279, 220, 966, 82, 315, 279, 1566, 9478, 706, 64238, 3892, 78664, 927, 279, 1667, 2085, 3596, 13490, 1202, 9764, 627, 32, 14595, 20841, 505, 279, 220, 1490, 82, 323, 220, 1954, 82, 11, 43169, 449, 1063, 3649, 927, 220, 1135, 1667, 2362, 627, 791, 3424, 7559, 304, 279, 6278, 315, 279, 30050, 17884, 6209, 15051, 264, 6366, 4321, 1555, 279, 7317, 2492, 11, 1418, 22128, 279, 17440, 299, 11, 323, 649, 1524, 3820, 14098, 6957, 279, 3424, 627, 644, 6250, 323, 6664, 11, 15051, 649, 3217, 279, 24322, 627, 16397, 279, 4822, 11, 584, 527, 2744, 2561, 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 ]
[ 128000, 791, 37912, 315, 279, 362, 3059, 2111, 78, 12517, 374, 7559, 304, 279, 4851, 315, 279, 2486, 8362, 660, 5654, 315, 279, 17440, 299, 627, 791, 47625, 5029, 505, 279, 220, 966, 82, 315, 279, 1566, 9478, 706, 64238, 3892, 78664, 927, 279, 1667, 2085, 3596, 13490, 1202, 9764, 627, 32, 14595, 20841, 505, 279, 220, 1490, 82, 323, 220, 1954, 82, 11, 43169, 449, 1063, 3649, 927, 220, 1135, 1667, 2362, 627, 791, 3424, 7559, 304, 279, 6278, 315, 279, 30050, 17884, 6209, 15051, 264, 6366, 4321, 1555, 279, 7317, 2492, 11, 1418, 22128, 279, 17440, 299, 11, 323, 649, 1524, 3820, 14098, 6957, 279, 3424, 627, 644, 6250, 323, 6664, 11, 15051, 649, 3217, 279, 24322, 627, 16397, 279, 4822, 11, 584, 527, 2744, 2561, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129 ]
130
[ 128000, 96621, 856, 3451, 8416, 529, 17479, 9899, 1053, 1935, 264, 4545, 661, 18579, 4245, 311, 1510, 51235, 82, 13, 358, 4934, 311, 1304, 2771, 358, 743, 17078, 304, 1584, 449, 856, 8903, 627, 96621, 856, 3451, 8416, 529, 17479, 9899, 1053, 1935, 264, 4545, 661, 18579, 4245, 311, 1510, 51235, 82, 13, 358, 4934, 311, 1304, 2771, 358, 743, 17078, 304, 1584, 449, 856, 8903, 13, 358, 4934, 311, 2103, 5357, 389, 856, 14499, 323, 8333, 17479, 719, 1101, 1427, 520, 279, 5217, 7504, 430, 649, 387, 4529, 311, 32241, 264, 9498, 4642, 19433, 627, 8586, 527, 264, 2478, 2574, 430, 358, 6773, 311, 49715, 856, 6666, 311, 24797, 51235, 7347, 856, 4967, 2671, 627, 4599, 584, 6212, 11, 584, 3219, 13520, 12756, 20134, 11, 323, 304, 26669, 6212, 279, 8271, 1370, 278, 73279, 682, 37079, 24569, 13, 53389, 1203, 311, 279, 1938, 315, 279, 57709, 16737, 11, 422, 6212, 23188, 13520, 779, 1825, 311, 56217, 3249, 1550, 15740, 539, 10536, 304, 311, 6144, 603, 30, 3861, 4320, 17037, 7378, 389, 374, 430, 6212, 374, 779, 13458, 750, 3062, 430, 279, 15635, 1051, 5922, 279, 7720, 627, 1313, 4207, 2085, 6212, 11, 649, 1121, 304, 3823, 5178, 1694, 7863, 311, 4423, 889, 374, 26267, 29850, 627, 42845, 374, 264, 2307, 5623, 11, 433, 39990, 5129, 2324, 11, 57924, 5044, 323, 28697, 11, 3698, 1900, 18547, 323, 18710, 11, 73115, 15635, 315, 4851, 8951, 323, 53572, 323, 36236, 2403, 9572, 323, 52857, 11, 439, 1664, 439, 46927, 449, 4785, 4814, 323, 3691, 89928, 13, 1102, 649, 1101, 6144, 2403, 9439, 82, 323, 17563, 323, 12192, 7106, 323, 10723, 13654, 1389, 358, 3152, 430, 753, 264, 5128, 65242, 14499, 627, 791, 11349, 3392, 315, 6212, 374, 1990, 220, 22, 12, 24, 4207, 264, 3814, 13, 68502, 315, 6212, 649, 1893, 8009, 43226, 11709, 11, 5190, 52703, 29050, 3691, 2671, 323, 459, 5376, 304, 8244, 52703, 15652, 279, 2768, 1938, 627, 8284, 12, 53809, 15330, 68372, 52379, 374, 84945, 7443, 10368, 430, 690, 8395, 25247, 2085, 499, 1694, 39532, 17371, 315, 433, 11, 11689, 311, 279, 1841, 11, 4737, 279, 32249, 11, 3815, 14048, 82569, 682, 17210, 311, 420, 627, 3947, 527, 12387, 5627, 304, 902, 279, 2547, 690, 8395, 25247, 323, 29392, 499, 649, 656, 1633, 2697, 323, 2103, 8395, 810, 25247, 304, 264, 1938, 1109, 499, 1053, 10374, 459, 19428, 6596, 304, 279, 19343, 627, 34703, 278, 6344, 57565, 20359, 374, 279, 25247, 4460, 311, 10519, 2162, 537, 10949, 2949, 279, 2547, 1389, 42631, 734, 11, 2942, 323, 8271, 734, 323, 7446, 282, 2049, 287, 682, 1397, 25247, 311, 1005, 439, 10633, 13, 2876, 35661, 3403, 323, 1505, 433, 2653, 311, 37455, 30, 1472, 1436, 387, 16054, 1234, 701, 426, 18953, 323, 9093, 539, 8405, 701, 2547, 449, 1202, 7446, 10633, 8670, 627, 5159, 1648, 315, 16967, 420, 323, 279, 30689, 1648, 304, 856, 9647, 374, 16967, 7504, 13, 362, 60176, 369, 220, 605, 74, 7504, 264, 1938, 374, 279, 11349, 73545, 779, 1541, 1431, 12571, 1884, 3451, 1039, 2996, 4321, 529, 10708, 11, 433, 753, 264, 2294, 1648, 311, 2567, 701, 8014, 835, 709, 627, 10714, 220, 1490, 4, 315, 1057, 45774, 423, 4131, 505, 47066, 1057, 6930, 311, 5933, 40120, 11, 4869, 433, 649, 1101, 2586, 505, 95536, 14403, 11, 19151, 379, 23427, 323, 41420, 311, 836, 264, 2478, 627, 53, 76652, 423, 374, 264, 8834, 1355, 337, 41572, 28170, 323, 52797, 17685, 4500, 323, 12992, 279, 5845, 311, 35406, 35719, 11, 61933, 323, 79106, 627, 2181, 753, 13240, 430, 11990, 315, 1274, 15603, 617, 264, 28170, 423, 48294, 323, 7978, 617, 6982, 430, 12884, 449, 18710, 323, 18547, 8965, 617, 4827, 5990, 315, 28170, 423, 627, 35, 3978, 323, 10723, 2890, 617, 1027, 17033, 311, 387, 15499, 10815, 11, 3691, 4442, 279, 955, 315, 24032, 304, 1057, 18340, 53499, 638, 323, 649, 10383, 279, 11742, 8450, 279, 18340, 22014, 709, 311, 1057, 8271, 4669, 279, 650, 59838, 32015, 627, 27967, 88, 52011, 11, 1695, 44409, 220, 18, 3691, 4595, 1778, 439, 62826, 323, 296, 9881, 301, 323, 19301, 279, 1314, 4595, 315, 44409, 220, 21, 374, 682, 7718, 369, 264, 1695, 8271, 4951, 332, 3717, 13, 3639, 584, 8343, 649, 2216, 7945, 449, 20247, 11, 18547, 323, 1524, 810, 6485, 10723, 4819, 1778, 439, 99024, 11, 18710, 323, 62419, 627, 4516, 1524, 8994, 51235, 11, 21760, 389, 7106, 5820, 374, 2294, 11, 719, 4737, 264, 35688, 1684, 315, 682, 279, 1023, 2574, 430, 649, 7945, 499, 10519, 264, 9498, 19433, 690, 8935, 499, 304, 810, 5627, 430, 499, 1253, 39256, 627, 4516, 11, 636, 704, 1139, 279, 40120, 11, 2567, 7366, 11, 6212, 439, 1790, 439, 499, 649, 323, 8343, 6261, 6380, 627, 9032, 3585, 430, 1253, 387, 315, 2802, 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 ]
[ 128000, 96621, 856, 3451, 8416, 529, 17479, 9899, 1053, 1935, 264, 4545, 661, 18579, 4245, 311, 1510, 51235, 82, 13, 358, 4934, 311, 1304, 2771, 358, 743, 17078, 304, 1584, 449, 856, 8903, 627, 96621, 856, 3451, 8416, 529, 17479, 9899, 1053, 1935, 264, 4545, 661, 18579, 4245, 311, 1510, 51235, 82, 13, 358, 4934, 311, 1304, 2771, 358, 743, 17078, 304, 1584, 449, 856, 8903, 13, 358, 4934, 311, 2103, 5357, 389, 856, 14499, 323, 8333, 17479, 719, 1101, 1427, 520, 279, 5217, 7504, 430, 649, 387, 4529, 311, 32241, 264, 9498, 4642, 19433, 627, 8586, 527, 264, 2478, 2574, 430, 358, 6773, 311, 49715, 856, 6666, 311, 24797, 51235, 7347, 856, 4967, 2671, 627, 4599, 584, 6212, 11, 584, 3219, 13520, 12756, 20134, 11, 323, 304, 26669, 6212, 279, 8271, 1370, 278, 73279, 682, 37079, 24569, 13, 53389, 1203, 311, 279, 1938, 315, 279, 57709, 16737, 11, 422, 6212, 23188, 13520, 779, 1825, 311, 56217, 3249, 1550, 15740, 539, 10536, 304, 311, 6144, 603, 30, 3861, 4320, 17037, 7378, 389, 374, 430, 6212, 374, 779, 13458, 750, 3062, 430, 279, 15635, 1051, 5922, 279, 7720, 627, 1313, 4207, 2085, 6212, 11, 649, 1121, 304, 3823, 5178, 1694, 7863, 311, 4423, 889, 374, 26267, 29850, 627, 42845, 374, 264, 2307, 5623, 11, 433, 39990, 5129, 2324, 11, 57924, 5044, 323, 28697, 11, 3698, 1900, 18547, 323, 18710, 11, 73115, 15635, 315, 4851, 8951, 323, 53572, 323, 36236, 2403, 9572, 323, 52857, 11, 439, 1664, 439, 46927, 449, 4785, 4814, 323, 3691, 89928, 13, 1102, 649, 1101, 6144, 2403, 9439, 82, 323, 17563, 323, 12192, 7106, 323, 10723, 13654, 1389, 358, 3152, 430, 753, 264, 5128, 65242, 14499, 627, 791, 11349, 3392, 315, 6212, 374, 1990, 220, 22, 12, 24, 4207, 264, 3814, 13, 68502, 315, 6212, 649, 1893, 8009, 43226, 11709, 11, 5190, 52703, 29050, 3691, 2671, 323, 459, 5376, 304, 8244, 52703, 15652, 279, 2768, 1938, 627, 8284, 12, 53809, 15330, 68372, 52379, 374, 84945, 7443, 10368, 430, 690, 8395, 25247, 2085, 499, 1694, 39532, 17371, 315, 433, 11, 11689, 311, 279, 1841, 11, 4737, 279, 32249, 11, 3815, 14048, 82569, 682, 17210, 311, 420, 627, 3947, 527, 12387, 5627, 304, 902, 279, 2547, 690, 8395, 25247, 323, 29392, 499, 649, 656, 1633, 2697, 323, 2103, 8395, 810, 25247, 304, 264, 1938, 1109, 499, 1053, 10374, 459, 19428, 6596, 304, 279, 19343, 627, 34703, 278, 6344, 57565, 20359, 374, 279, 25247, 4460, 311, 10519, 2162, 537, 10949, 2949, 279, 2547, 1389, 42631, 734, 11, 2942, 323, 8271, 734, 323, 7446, 282, 2049, 287, 682, 1397, 25247, 311, 1005, 439, 10633, 13, 2876, 35661, 3403, 323, 1505, 433, 2653, 311, 37455, 30, 1472, 1436, 387, 16054, 1234, 701, 426, 18953, 323, 9093, 539, 8405, 701, 2547, 449, 1202, 7446, 10633, 8670, 627, 5159, 1648, 315, 16967, 420, 323, 279, 30689, 1648, 304, 856, 9647, 374, 16967, 7504, 13, 362, 60176, 369, 220, 605, 74, 7504, 264, 1938, 374, 279, 11349, 73545, 779, 1541, 1431, 12571, 1884, 3451, 1039, 2996, 4321, 529, 10708, 11, 433, 753, 264, 2294, 1648, 311, 2567, 701, 8014, 835, 709, 627, 10714, 220, 1490, 4, 315, 1057, 45774, 423, 4131, 505, 47066, 1057, 6930, 311, 5933, 40120, 11, 4869, 433, 649, 1101, 2586, 505, 95536, 14403, 11, 19151, 379, 23427, 323, 41420, 311, 836, 264, 2478, 627, 53, 76652, 423, 374, 264, 8834, 1355, 337, 41572, 28170, 323, 52797, 17685, 4500, 323, 12992, 279, 5845, 311, 35406, 35719, 11, 61933, 323, 79106, 627, 2181, 753, 13240, 430, 11990, 315, 1274, 15603, 617, 264, 28170, 423, 48294, 323, 7978, 617, 6982, 430, 12884, 449, 18710, 323, 18547, 8965, 617, 4827, 5990, 315, 28170, 423, 627, 35, 3978, 323, 10723, 2890, 617, 1027, 17033, 311, 387, 15499, 10815, 11, 3691, 4442, 279, 955, 315, 24032, 304, 1057, 18340, 53499, 638, 323, 649, 10383, 279, 11742, 8450, 279, 18340, 22014, 709, 311, 1057, 8271, 4669, 279, 650, 59838, 32015, 627, 27967, 88, 52011, 11, 1695, 44409, 220, 18, 3691, 4595, 1778, 439, 62826, 323, 296, 9881, 301, 323, 19301, 279, 1314, 4595, 315, 44409, 220, 21, 374, 682, 7718, 369, 264, 1695, 8271, 4951, 332, 3717, 13, 3639, 584, 8343, 649, 2216, 7945, 449, 20247, 11, 18547, 323, 1524, 810, 6485, 10723, 4819, 1778, 439, 99024, 11, 18710, 323, 62419, 627, 4516, 1524, 8994, 51235, 11, 21760, 389, 7106, 5820, 374, 2294, 11, 719, 4737, 264, 35688, 1684, 315, 682, 279, 1023, 2574, 430, 649, 7945, 499, 10519, 264, 9498, 19433, 690, 8935, 499, 304, 810, 5627, 430, 499, 1253, 39256, 627, 4516, 11, 636, 704, 1139, 279, 40120, 11, 2567, 7366, 11, 6212, 439, 1790, 439, 499, 649, 323, 8343, 6261, 6380, 627, 9032, 3585, 430, 1253, 387, 315, 2802, 627, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784 ]
785
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 5829, 7773, 369, 98862, 955, 198, 5223, 62, 15, 25, 27370, 22854, 319, 5520, 2082, 374, 1701, 1595, 84, 23, 63, 902, 1587, 539, 617, 904, 955, 1355, 39718, 323, 649, 6782, 8482, 2819, 2904, 2485, 1129, 5316, 916, 2754, 337, 3444, 2922, 3518, 2754, 337, 3444, 35927, 14, 2287, 3716, 19222, 69, 16, 14, 51804, 13743, 15030, 1171, 26721, 2, 43, 11515, 881, 827, 22241, 315, 29240, 319, 9, 1005, 7773, 369, 98862, 955, 449, 1595, 13657, 31937, 8317, 23, 7400, 63, 3304, 9, 28655, 25780, 374, 18908, 555, 25976, 1595, 16055, 63, 323, 1595, 65565, 63, 18641, 449, 1595, 84, 23, 29687, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 5829, 7773, 369, 98862, 955, 198, 5223, 62, 15, 25, 27370, 22854, 319, 5520, 2082, 374, 1701, 1595, 84, 23, 63, 902, 1587, 539, 617, 904, 955, 1355, 39718, 323, 649, 6782, 8482, 2819, 2904, 2485, 1129, 5316, 916, 2754, 337, 3444, 2922, 3518, 2754, 337, 3444, 35927, 14, 2287, 3716, 19222, 69, 16, 14, 51804, 13743, 15030, 1171, 26721, 2, 43, 11515, 881, 827, 22241, 315, 29240, 319, 9, 1005, 7773, 369, 98862, 955, 449, 1595, 13657, 31937, 8317, 23, 7400, 63, 3304, 9, 28655, 25780, 374, 18908, 555, 25976, 1595, 16055, 63, 323, 1595, 65565, 63, 18641, 449, 1595, 84, 23, 29687, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113 ]
114
[ 128000, 34, 4002, 40, 3669, 386, 8069, 2864, 198, 22940, 198, 1, 11769, 52547, 374, 264, 3446, 11, 1521, 1841, 38132, 527, 13989, 11, 814, 20599, 279, 3347, 311, 279, 893, 315, 279, 3118, 10246, 791, 52547, 24925, 374, 7559, 304, 279, 4857, 1828, 311, 279, 43647, 1832, 9607, 677, 1832, 469, 724, 7414, 14821, 13, 1102, 706, 1027, 12588, 15613, 2533, 6186, 220, 2366, 15, 11, 3339, 433, 279, 24519, 31070, 33464, 304, 279, 386, 1832, 969, 12130, 316, 5654, 627, 791, 24925, 706, 2728, 2162, 311, 220, 508, 1841, 38132, 13, 7648, 315, 1124, 1436, 387, 51713, 505, 33935, 555, 25958, 11, 902, 1101, 5039, 1268, 3062, 279, 40771, 315, 279, 3158, 2980, 279, 46643, 315, 90038, 14135, 627, 644, 5369, 311, 3794, 311, 1440, 11731, 430, 617, 539, 1027, 3970, 369, 264, 1317, 892, 11, 499, 649, 1101, 8895, 20616, 1139, 279, 3925, 315, 8689, 13, 578, 1841, 38132, 323, 279, 23090, 315, 279, 24330, 3776, 34117, 8221, 95263, 279, 18254, 2324, 315, 279, 25958, 11, 323, 814, 1101, 83623, 279, 28812, 1841, 38132, 323, 3776, 34117, 82, 315, 25225, 9700, 82, 1764, 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 ]
[ 128000, 34, 4002, 40, 3669, 386, 8069, 2864, 198, 22940, 198, 1, 11769, 52547, 374, 264, 3446, 11, 1521, 1841, 38132, 527, 13989, 11, 814, 20599, 279, 3347, 311, 279, 893, 315, 279, 3118, 10246, 791, 52547, 24925, 374, 7559, 304, 279, 4857, 1828, 311, 279, 43647, 1832, 9607, 677, 1832, 469, 724, 7414, 14821, 13, 1102, 706, 1027, 12588, 15613, 2533, 6186, 220, 2366, 15, 11, 3339, 433, 279, 24519, 31070, 33464, 304, 279, 386, 1832, 969, 12130, 316, 5654, 627, 791, 24925, 706, 2728, 2162, 311, 220, 508, 1841, 38132, 13, 7648, 315, 1124, 1436, 387, 51713, 505, 33935, 555, 25958, 11, 902, 1101, 5039, 1268, 3062, 279, 40771, 315, 279, 3158, 2980, 279, 46643, 315, 90038, 14135, 627, 644, 5369, 311, 3794, 311, 1440, 11731, 430, 617, 539, 1027, 3970, 369, 264, 1317, 892, 11, 499, 649, 1101, 8895, 20616, 1139, 279, 3925, 315, 8689, 13, 578, 1841, 38132, 323, 279, 23090, 315, 279, 24330, 3776, 34117, 8221, 95263, 279, 18254, 2324, 315, 279, 25958, 11, 323, 814, 1101, 83623, 279, 28812, 1841, 38132, 323, 3776, 34117, 82, 315, 25225, 9700, 82, 1764, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187 ]
188
[ 128000, 1199, 6743, 1990, 1972, 12675, 46436, 649, 3041, 10205, 311, 459, 29262, 481, 5226, 311, 4662, 1972, 12675, 13, 763, 800, 13, 3842, 753, 54642, 11, 15620, 348, 13, 9220, 38784, 11, 15620, 11, 279, 22108, 11680, 7301, 5762, 430, 1495, 6743, 1990, 279, 26171, 753, 23117, 323, 279, 23703, 753, 23117, 65591, 264, 8308, 323, 29262, 481, 9306, 11, 72665, 279, 2144, 430, 912, 2653, 3048, 315, 279, 9306, 574, 8667, 11, 323, 430, 912, 16946, 1047, 1027, 1903, 555, 279, 26171, 627, 644, 430, 1162, 11, 46436, 369, 279, 20081, 9875, 1047, 17045, 304, 35306, 24345, 9002, 279, 7782, 323, 6412, 315, 264, 8518, 3424, 304, 11824, 3078, 4669, 384, 11724, 11, 1495, 6743, 11, 323, 264, 10165, 27757, 315, 9005, 13, 2468, 832, 1486, 304, 279, 24345, 11, 304, 2077, 311, 264, 743, 315, 32828, 3878, 505, 279, 26171, 11, 279, 23703, 753, 23117, 3288, 264, 35306, 1495, 1984, 311, 279, 26171, 753, 23117, 25694, 279, 3878, 323, 21745, 287, 279, 26171, 311, 1176, 1879, 279, 9306, 323, 6493, 264, 16946, 1817, 11, 1306, 902, 279, 23703, 1053, 1879, 279, 9306, 13, 578, 23703, 753, 23117, 20536, 279, 1984, 555, 1054, 7908, 287, 863, 279, 1495, 1984, 449, 813, 836, 11, 1054, 20830, 2029, 67587, 46095, 11, 719, 1603, 279, 26171, 1436, 1879, 323, 6493, 279, 16946, 11, 279, 23703, 11928, 2500, 4717, 753, 3085, 311, 7782, 279, 3424, 13, 3277, 279, 1176, 26171, 42184, 369, 3230, 5178, 320, 9210, 374, 11, 311, 5457, 279, 6412, 315, 279, 3424, 311, 430, 26171, 705, 279, 23703, 16495, 59323, 315, 279, 7937, 389, 279, 8197, 430, 1070, 574, 912, 29262, 481, 9306, 1990, 279, 9875, 627, 2181, 374, 264, 16188, 5897, 12717, 430, 11, 311, 387, 29262, 481, 11, 459, 9306, 369, 279, 6412, 315, 1972, 3424, 2011, 27651, 3738, 13186, 743, 13544, 304, 279, 14154, 33235, 3967, 439, 279, 12442, 1088, 315, 23534, 29088, 11, 832, 16686, 315, 902, 374, 430, 279, 9306, 387, 304, 4477, 323, 8667, 555, 279, 4717, 2403, 8884, 13627, 374, 16495, 13, 1115, 374, 279, 6913, 12717, 16940, 279, 4279, 32088, 323, 13618, 23314, 11, 902, 2011, 2744, 387, 8667, 555, 2225, 23703, 323, 26171, 627, 644, 9455, 430, 279, 1495, 6743, 520, 4360, 304, 800, 13, 3842, 753, 54642, 20097, 279, 8670, 315, 279, 12442, 1088, 315, 23534, 29088, 11, 279, 11680, 7301, 20819, 1766, 430, 279, 16781, 1495, 6743, 1990, 279, 9875, 320, 20322, 872, 46436, 705, 994, 4529, 3871, 11, 1051, 14343, 311, 1614, 264, 11212, 5226, 13, 578, 3878, 14407, 304, 279, 4101, 315, 22755, 5343, 279, 7782, 3430, 11, 23703, 29642, 11, 279, 4245, 63582, 4261, 11, 279, 15676, 2457, 11, 323, 279, 16946, 3392, 13, 23674, 11, 279, 7301, 1766, 430, 279, 1648, 304, 902, 279, 9875, 18073, 279, 7901, 320, 72, 1770, 13, 1701, 1495, 30622, 439, 264, 15236, 1749, 369, 49148, 8, 574, 14343, 369, 1124, 311, 15763, 430, 279, 1495, 1984, 1053, 39017, 553, 279, 76543, 3085, 323, 26586, 13, 71809, 11, 304, 2077, 311, 279, 23703, 753, 5811, 430, 279, 12442, 1088, 315, 23534, 29088, 2631, 430, 264, 5226, 387, 8667, 555, 279, 23703, 320, 72, 1770, 13, 279, 4717, 2403, 8884, 13627, 574, 16495, 705, 279, 7301, 16846, 430, 279, 1972, 12675, 13307, 6532, 1051, 77903, 19144, 24005, 315, 279, 20081, 9875, 11, 323, 430, 279, 23703, 753, 23117, 11, 3515, 8667, 813, 1566, 1495, 1984, 449, 813, 836, 1054, 20830, 2476, 21091, 813, 7537, 311, 617, 279, 4477, 387, 26267, 11212, 627, 8142, 800, 13, 3842, 753, 54642, 10666, 264, 743, 315, 13363, 430, 2643, 1782, 304, 20278, 323, 1376, 505, 13783, 1495, 6743, 11, 7931, 323, 872, 24005, 1288, 40175, 279, 16736, 7138, 315, 1455, 1495, 6743, 323, 1253, 1390, 311, 1005, 834, 8017, 388, 994, 69094, 311, 37667, 279, 3878, 315, 459, 42835, 9306, 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 ]
[ 128000, 1199, 6743, 1990, 1972, 12675, 46436, 649, 3041, 10205, 311, 459, 29262, 481, 5226, 311, 4662, 1972, 12675, 13, 763, 800, 13, 3842, 753, 54642, 11, 15620, 348, 13, 9220, 38784, 11, 15620, 11, 279, 22108, 11680, 7301, 5762, 430, 1495, 6743, 1990, 279, 26171, 753, 23117, 323, 279, 23703, 753, 23117, 65591, 264, 8308, 323, 29262, 481, 9306, 11, 72665, 279, 2144, 430, 912, 2653, 3048, 315, 279, 9306, 574, 8667, 11, 323, 430, 912, 16946, 1047, 1027, 1903, 555, 279, 26171, 627, 644, 430, 1162, 11, 46436, 369, 279, 20081, 9875, 1047, 17045, 304, 35306, 24345, 9002, 279, 7782, 323, 6412, 315, 264, 8518, 3424, 304, 11824, 3078, 4669, 384, 11724, 11, 1495, 6743, 11, 323, 264, 10165, 27757, 315, 9005, 13, 2468, 832, 1486, 304, 279, 24345, 11, 304, 2077, 311, 264, 743, 315, 32828, 3878, 505, 279, 26171, 11, 279, 23703, 753, 23117, 3288, 264, 35306, 1495, 1984, 311, 279, 26171, 753, 23117, 25694, 279, 3878, 323, 21745, 287, 279, 26171, 311, 1176, 1879, 279, 9306, 323, 6493, 264, 16946, 1817, 11, 1306, 902, 279, 23703, 1053, 1879, 279, 9306, 13, 578, 23703, 753, 23117, 20536, 279, 1984, 555, 1054, 7908, 287, 863, 279, 1495, 1984, 449, 813, 836, 11, 1054, 20830, 2029, 67587, 46095, 11, 719, 1603, 279, 26171, 1436, 1879, 323, 6493, 279, 16946, 11, 279, 23703, 11928, 2500, 4717, 753, 3085, 311, 7782, 279, 3424, 13, 3277, 279, 1176, 26171, 42184, 369, 3230, 5178, 320, 9210, 374, 11, 311, 5457, 279, 6412, 315, 279, 3424, 311, 430, 26171, 705, 279, 23703, 16495, 59323, 315, 279, 7937, 389, 279, 8197, 430, 1070, 574, 912, 29262, 481, 9306, 1990, 279, 9875, 627, 2181, 374, 264, 16188, 5897, 12717, 430, 11, 311, 387, 29262, 481, 11, 459, 9306, 369, 279, 6412, 315, 1972, 3424, 2011, 27651, 3738, 13186, 743, 13544, 304, 279, 14154, 33235, 3967, 439, 279, 12442, 1088, 315, 23534, 29088, 11, 832, 16686, 315, 902, 374, 430, 279, 9306, 387, 304, 4477, 323, 8667, 555, 279, 4717, 2403, 8884, 13627, 374, 16495, 13, 1115, 374, 279, 6913, 12717, 16940, 279, 4279, 32088, 323, 13618, 23314, 11, 902, 2011, 2744, 387, 8667, 555, 2225, 23703, 323, 26171, 627, 644, 9455, 430, 279, 1495, 6743, 520, 4360, 304, 800, 13, 3842, 753, 54642, 20097, 279, 8670, 315, 279, 12442, 1088, 315, 23534, 29088, 11, 279, 11680, 7301, 20819, 1766, 430, 279, 16781, 1495, 6743, 1990, 279, 9875, 320, 20322, 872, 46436, 705, 994, 4529, 3871, 11, 1051, 14343, 311, 1614, 264, 11212, 5226, 13, 578, 3878, 14407, 304, 279, 4101, 315, 22755, 5343, 279, 7782, 3430, 11, 23703, 29642, 11, 279, 4245, 63582, 4261, 11, 279, 15676, 2457, 11, 323, 279, 16946, 3392, 13, 23674, 11, 279, 7301, 1766, 430, 279, 1648, 304, 902, 279, 9875, 18073, 279, 7901, 320, 72, 1770, 13, 1701, 1495, 30622, 439, 264, 15236, 1749, 369, 49148, 8, 574, 14343, 369, 1124, 311, 15763, 430, 279, 1495, 1984, 1053, 39017, 553, 279, 76543, 3085, 323, 26586, 13, 71809, 11, 304, 2077, 311, 279, 23703, 753, 5811, 430, 279, 12442, 1088, 315, 23534, 29088, 2631, 430, 264, 5226, 387, 8667, 555, 279, 23703, 320, 72, 1770, 13, 279, 4717, 2403, 8884, 13627, 574, 16495, 705, 279, 7301, 16846, 430, 279, 1972, 12675, 13307, 6532, 1051, 77903, 19144, 24005, 315, 279, 20081, 9875, 11, 323, 430, 279, 23703, 753, 23117, 11, 3515, 8667, 813, 1566, 1495, 1984, 449, 813, 836, 1054, 20830, 2476, 21091, 813, 7537, 311, 617, 279, 4477, 387, 26267, 11212, 627, 8142, 800, 13, 3842, 753, 54642, 10666, 264, 743, 315, 13363, 430, 2643, 1782, 304, 20278, 323, 1376, 505, 13783, 1495, 6743, 11, 7931, 323, 872, 24005, 1288, 40175, 279, 16736, 7138, 315, 1455, 1495, 6743, 323, 1253, 1390, 311, 1005, 834, 8017, 388, 994, 69094, 311, 37667, 279, 3878, 315, 459, 42835, 9306, 13, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637 ]
638
[ 128000, 5479, 26788, 311, 13969, 4718, 28049, 44454, 1115, 12531, 220, 679, 24, 198, 2409, 10683, 4131, 46039, 9282, 11, 52495, 11, 323, 502, 6650, 13, 1102, 596, 1193, 27442, 430, 701, 6930, 374, 1120, 439, 7878, 323, 36646, 13, 2057, 636, 9463, 315, 12688, 596, 9235, 323, 43939, 6930, 11, 1833, 1521, 10631, 369, 264, 9498, 10683, 4908, 37066, 627, 849, 8566, 6629, 11, 1398, 8566, 6629, 11, 1398, 8566, 6629, 0, 67288, 3629, 11141, 6930, 8430, 9235, 323, 1344, 29200, 13, 1398, 8566, 23747, 29260, 1884, 5710, 7917, 311, 16805, 279, 49973, 1964, 11, 61405, 6930, 24923, 627, 8161, 956, 1304, 279, 16930, 315, 2133, 927, 2541, 11, 3582, 13, 1442, 12688, 596, 25984, 20472, 20727, 279, 16335, 3646, 6324, 315, 701, 6930, 11, 2288, 1790, 506, 8566, 23747, 649, 1304, 2574, 11201, 13, 5560, 3956, 6319, 311, 387, 22443, 323, 35121, 13, 1442, 499, 1541, 956, 1390, 311, 12786, 40923, 11, 1701, 701, 5912, 27883, 449, 264, 11623, 89054, 311, 30373, 46001, 4375, 2288, 13, 1472, 1541, 956, 1205, 311, 506, 8566, 6629, 1475, 1938, 1198, 3131, 477, 11157, 264, 2046, 374, 682, 433, 5097, 627, 39202, 10320, 3696, 660, 46078, 9282, 5900, 1450, 3502, 25417, 449, 1694, 810, 4642, 13, 578, 810, 4642, 499, 527, 11, 279, 810, 3062, 433, 374, 311, 4822, 95831, 13, 4718, 6930, 374, 1903, 709, 315, 7917, 430, 1397, 3090, 311, 734, 12722, 13, 17586, 3403, 315, 433, 11, 499, 2351, 810, 38097, 311, 4216, 30084, 11, 9235, 2136, 11, 10508, 2136, 11, 323, 1344, 587, 1918, 627, 7927, 6930, 374, 1101, 3428, 389, 279, 10844, 1160, 994, 433, 4131, 311, 1268, 701, 2547, 4375, 1198, 701, 16595, 36853, 1101, 1205, 3090, 323, 11383, 636, 1176, 42168, 82, 13, 1115, 3727, 433, 17235, 3062, 311, 1935, 304, 3403, 56406, 627, 11439, 311, 279, 58157, 40324, 11, 3278, 1205, 2212, 220, 17, 13, 22, 93966, 315, 3090, 1855, 1938, 13, 11258, 1205, 2212, 220, 18, 13, 22, 13, 1472, 1541, 956, 617, 311, 7172, 682, 315, 433, 1198, 264, 13651, 315, 701, 15962, 23730, 649, 2586, 505, 279, 3691, 499, 8343, 13, 30973, 25, 26390, 323, 60399, 527, 2294, 11709, 369, 420, 627, 62647, 60005, 505, 279, 8219, 29755, 2288, 1790, 7160, 11384, 2875, 9860, 323, 1317, 9860, 5674, 311, 701, 6930, 13, 30136, 45220, 64855, 5655, 11, 14718, 4325, 19300, 11, 74207, 11, 30811, 3252, 11, 323, 7170, 6930, 9572, 627, 2746, 433, 596, 539, 3284, 311, 6724, 4822, 704, 315, 279, 7160, 11, 499, 1205, 311, 6144, 6261, 304, 1023, 5627, 11, 1093, 1701, 459, 87848, 220, 966, 83184, 922, 220, 508, 4520, 1603, 2133, 704, 13, 1115, 374, 5423, 3062, 422, 499, 3358, 387, 4994, 1990, 220, 605, 264, 749, 13, 323, 220, 17, 281, 749, 13, 9176, 54902, 12509, 11, 2763, 919, 11, 323, 27649, 16097, 2997, 83184, 304, 872, 3956, 13, 4418, 956, 10894, 311, 312, 10492, 433, 6957, 279, 1938, 4999, 72447, 9960, 449, 264, 9072, 323, 60469, 374, 1101, 3062, 13, 4427, 17895, 374, 1524, 6319, 311, 6144, 701, 6930, 505, 28856, 45220, 627, 1991, 38727, 198, 53809, 1587, 40164, 369, 701, 6930, 11, 323, 10683, 374, 279, 4832, 892, 315, 1060, 311, 35692, 701, 17479, 17942, 627, 849, 3035, 3876, 12992, 279, 6530, 315, 6680, 6957, 279, 2547, 13, 1115, 6680, 6530, 12716, 701, 7917, 16595, 37493, 323, 24463, 11, 10695, 701, 6930, 311, 13023, 5196, 13, 1102, 1101, 24266, 3201, 28856, 1949, 74356, 11, 902, 5353, 6930, 5674, 627, 4599, 499, 10368, 11, 433, 26338, 279, 5990, 315, 89942, 304, 701, 2547, 13, 36775, 61023, 1198, 7170, 2663, 279, 330, 95290, 36908, 1, 1198, 706, 264, 3682, 5536, 389, 701, 6930, 13, 5234, 5990, 315, 433, 649, 1304, 701, 82375, 1893, 810, 5707, 11, 6522, 311, 1464, 11934, 13, 1102, 1101, 11384, 71313, 4814, 13, 13201, 8703, 374, 459, 3062, 13128, 430, 13912, 701, 6930, 7626, 323, 1043, 698, 13, 17586, 433, 11, 701, 6930, 12302, 311, 3189, 36244, 323, 30811, 627, 7184, 430, 499, 3077, 2751, 1063, 6573, 10631, 369, 10494, 701, 6930, 49592, 323, 77443, 420, 10683, 11, 1095, 603, 1440, 1268, 433, 5900, 0, 1226, 3021, 311, 6865, 505, 499, 922, 701, 6930, 14348, 369, 12531, 11, 323, 682, 1060, 1317, 0, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 5479, 26788, 311, 13969, 4718, 28049, 44454, 1115, 12531, 220, 679, 24, 198, 2409, 10683, 4131, 46039, 9282, 11, 52495, 11, 323, 502, 6650, 13, 1102, 596, 1193, 27442, 430, 701, 6930, 374, 1120, 439, 7878, 323, 36646, 13, 2057, 636, 9463, 315, 12688, 596, 9235, 323, 43939, 6930, 11, 1833, 1521, 10631, 369, 264, 9498, 10683, 4908, 37066, 627, 849, 8566, 6629, 11, 1398, 8566, 6629, 11, 1398, 8566, 6629, 0, 67288, 3629, 11141, 6930, 8430, 9235, 323, 1344, 29200, 13, 1398, 8566, 23747, 29260, 1884, 5710, 7917, 311, 16805, 279, 49973, 1964, 11, 61405, 6930, 24923, 627, 8161, 956, 1304, 279, 16930, 315, 2133, 927, 2541, 11, 3582, 13, 1442, 12688, 596, 25984, 20472, 20727, 279, 16335, 3646, 6324, 315, 701, 6930, 11, 2288, 1790, 506, 8566, 23747, 649, 1304, 2574, 11201, 13, 5560, 3956, 6319, 311, 387, 22443, 323, 35121, 13, 1442, 499, 1541, 956, 1390, 311, 12786, 40923, 11, 1701, 701, 5912, 27883, 449, 264, 11623, 89054, 311, 30373, 46001, 4375, 2288, 13, 1472, 1541, 956, 1205, 311, 506, 8566, 6629, 1475, 1938, 1198, 3131, 477, 11157, 264, 2046, 374, 682, 433, 5097, 627, 39202, 10320, 3696, 660, 46078, 9282, 5900, 1450, 3502, 25417, 449, 1694, 810, 4642, 13, 578, 810, 4642, 499, 527, 11, 279, 810, 3062, 433, 374, 311, 4822, 95831, 13, 4718, 6930, 374, 1903, 709, 315, 7917, 430, 1397, 3090, 311, 734, 12722, 13, 17586, 3403, 315, 433, 11, 499, 2351, 810, 38097, 311, 4216, 30084, 11, 9235, 2136, 11, 10508, 2136, 11, 323, 1344, 587, 1918, 627, 7927, 6930, 374, 1101, 3428, 389, 279, 10844, 1160, 994, 433, 4131, 311, 1268, 701, 2547, 4375, 1198, 701, 16595, 36853, 1101, 1205, 3090, 323, 11383, 636, 1176, 42168, 82, 13, 1115, 3727, 433, 17235, 3062, 311, 1935, 304, 3403, 56406, 627, 11439, 311, 279, 58157, 40324, 11, 3278, 1205, 2212, 220, 17, 13, 22, 93966, 315, 3090, 1855, 1938, 13, 11258, 1205, 2212, 220, 18, 13, 22, 13, 1472, 1541, 956, 617, 311, 7172, 682, 315, 433, 1198, 264, 13651, 315, 701, 15962, 23730, 649, 2586, 505, 279, 3691, 499, 8343, 13, 30973, 25, 26390, 323, 60399, 527, 2294, 11709, 369, 420, 627, 62647, 60005, 505, 279, 8219, 29755, 2288, 1790, 7160, 11384, 2875, 9860, 323, 1317, 9860, 5674, 311, 701, 6930, 13, 30136, 45220, 64855, 5655, 11, 14718, 4325, 19300, 11, 74207, 11, 30811, 3252, 11, 323, 7170, 6930, 9572, 627, 2746, 433, 596, 539, 3284, 311, 6724, 4822, 704, 315, 279, 7160, 11, 499, 1205, 311, 6144, 6261, 304, 1023, 5627, 11, 1093, 1701, 459, 87848, 220, 966, 83184, 922, 220, 508, 4520, 1603, 2133, 704, 13, 1115, 374, 5423, 3062, 422, 499, 3358, 387, 4994, 1990, 220, 605, 264, 749, 13, 323, 220, 17, 281, 749, 13, 9176, 54902, 12509, 11, 2763, 919, 11, 323, 27649, 16097, 2997, 83184, 304, 872, 3956, 13, 4418, 956, 10894, 311, 312, 10492, 433, 6957, 279, 1938, 4999, 72447, 9960, 449, 264, 9072, 323, 60469, 374, 1101, 3062, 13, 4427, 17895, 374, 1524, 6319, 311, 6144, 701, 6930, 505, 28856, 45220, 627, 1991, 38727, 198, 53809, 1587, 40164, 369, 701, 6930, 11, 323, 10683, 374, 279, 4832, 892, 315, 1060, 311, 35692, 701, 17479, 17942, 627, 849, 3035, 3876, 12992, 279, 6530, 315, 6680, 6957, 279, 2547, 13, 1115, 6680, 6530, 12716, 701, 7917, 16595, 37493, 323, 24463, 11, 10695, 701, 6930, 311, 13023, 5196, 13, 1102, 1101, 24266, 3201, 28856, 1949, 74356, 11, 902, 5353, 6930, 5674, 627, 4599, 499, 10368, 11, 433, 26338, 279, 5990, 315, 89942, 304, 701, 2547, 13, 36775, 61023, 1198, 7170, 2663, 279, 330, 95290, 36908, 1, 1198, 706, 264, 3682, 5536, 389, 701, 6930, 13, 5234, 5990, 315, 433, 649, 1304, 701, 82375, 1893, 810, 5707, 11, 6522, 311, 1464, 11934, 13, 1102, 1101, 11384, 71313, 4814, 13, 13201, 8703, 374, 459, 3062, 13128, 430, 13912, 701, 6930, 7626, 323, 1043, 698, 13, 17586, 433, 11, 701, 6930, 12302, 311, 3189, 36244, 323, 30811, 627, 7184, 430, 499, 3077, 2751, 1063, 6573, 10631, 369, 10494, 701, 6930, 49592, 323, 77443, 420, 10683, 11, 1095, 603, 1440, 1268, 433, 5900, 0, 1226, 3021, 311, 6865, 505, 499, 922, 701, 6930, 14348, 369, 12531, 11, 323, 682, 1060, 1317, 0, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702 ]
703
[ 128000, 322, 81590, 18527, 63832, 475, 314, 3261, 3692, 1738, 11, 83632, 3736, 11, 6146, 11, 14025, 6531, 11, 8922, 1738, 11, 33217, 10854, 92, 505, 364, 50652, 1025, 475, 314, 8006, 11772, 18689, 92, 505, 2825, 2714, 1025, 475, 314, 9743, 3692, 11, 22452, 2323, 11, 22452, 85020, 92, 505, 2825, 9743, 2323, 21366, 322, 21431, 1250, 8922, 2958, 3765, 43702, 20308, 29547, 1562, 538, 88557, 3692, 5280, 22452, 3692, 1504, 262, 586, 1853, 25, 925, 280, 262, 879, 7257, 25, 925, 280, 262, 879, 1052, 25, 8922, 1738, 280, 262, 879, 7177, 25, 22452, 2323, 1318, 284, 15799, 262, 4797, 5698, 25, 925, 11, 7257, 25, 925, 11, 37320, 25, 5907, 11772, 18689, 8, 341, 286, 420, 3960, 284, 1853, 280, 286, 420, 18648, 284, 7257, 280, 286, 420, 9914, 284, 1893, 3692, 1738, 1021, 310, 1853, 345, 310, 420, 18648, 345, 310, 14025, 6531, 13, 1600, 679, 20, 345, 310, 837, 198, 286, 1465, 286, 420, 49049, 1997, 64207, 1420, 9914, 11, 37320, 317, 262, 557, 262, 586, 706, 18700, 4658, 2777, 341, 286, 471, 420, 42636, 1996, 871, 220, 15, 280, 262, 557, 262, 586, 7068, 18700, 4658, 22452, 85020, 1318, 341, 286, 471, 420, 42636, 4875, 1209, 83, 8, 591, 259, 22793, 1449, 262, 557, 262, 879, 8737, 1997, 64207, 7103, 25, 6146, 11, 37320, 25, 5907, 11772, 18689, 8, 341, 286, 422, 320, 285, 41, 5608, 511, 7103, 595, 341, 310, 420, 38458, 9743, 18700, 7103, 11, 37320, 317, 286, 457, 286, 83632, 3736, 7103, 11, 320, 3593, 8, 591, 341, 310, 420, 49049, 1997, 64207, 7103, 11, 37320, 317, 286, 1657, 262, 557, 262, 879, 8819, 9743, 18700, 3203, 2289, 11697, 41, 5608, 511, 2284, 3593, 25, 350, 11, 37320, 25, 5907, 11772, 18689, 8, 341, 286, 369, 2809, 4733, 315, 2494, 2927, 9743, 8, 341, 310, 738, 15522, 284, 611, 74694, 50652, 656, 68980, 71219, 29211, 7727, 10380, 74694, 14, 70, 401, 310, 1095, 2489, 284, 854, 280, 310, 1418, 1209, 6481, 284, 15522, 16153, 19702, 32070, 7861, 341, 394, 738, 314, 1584, 335, 284, 420, 9914, 99457, 3112, 12686, 2173, 3897, 19702, 13304, 317, 394, 738, 4445, 284, 1797, 3648, 1074, 19702, 32070, 14872, 7, 15, 11, 2489, 5265, 4489, 394, 420, 42636, 2615, 1792, 22452, 2323, 1021, 504, 2489, 58, 16, 1282, 504, 1584, 489, 4445, 345, 504, 420, 3960, 345, 504, 37320, 1420, 3960, 340, 394, 16925, 310, 457, 286, 457, 262, 557, 15053, 322, 49414, 8633, 33709, 1723, 1797, 3648, 1074, 3764, 25, 925, 1680, 1396, 341, 262, 738, 9248, 284, 907, 11319, 28872, 77, 4951, 317, 262, 422, 320, 20509, 8, 341, 286, 471, 9248, 1996, 489, 220, 16, 280, 262, 335, 775, 341, 286, 471, 220, 15, 280, 262, 457, 633, 1723, 374, 41, 5608, 511, 4496, 25, 904, 1680, 1665, 374, 11697, 41, 5608, 511, 341, 262, 471, 364, 2580, 9743, 6, 304, 1665, 280, 633, 5077, 11697, 41, 5608, 511, 341, 262, 7139, 9743, 25, 622, 5608, 511, 15428, 262, 3169, 25, 33217, 10854, 280, 262, 2748, 25, 420, 280, 633, 5077, 622, 5608, 511, 341, 262, 4068, 25, 925, 280, 262, 1153, 25, 1396, 280, 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 ]
[ 128000, 322, 81590, 18527, 63832, 475, 314, 3261, 3692, 1738, 11, 83632, 3736, 11, 6146, 11, 14025, 6531, 11, 8922, 1738, 11, 33217, 10854, 92, 505, 364, 50652, 1025, 475, 314, 8006, 11772, 18689, 92, 505, 2825, 2714, 1025, 475, 314, 9743, 3692, 11, 22452, 2323, 11, 22452, 85020, 92, 505, 2825, 9743, 2323, 21366, 322, 21431, 1250, 8922, 2958, 3765, 43702, 20308, 29547, 1562, 538, 88557, 3692, 5280, 22452, 3692, 1504, 262, 586, 1853, 25, 925, 280, 262, 879, 7257, 25, 925, 280, 262, 879, 1052, 25, 8922, 1738, 280, 262, 879, 7177, 25, 22452, 2323, 1318, 284, 15799, 262, 4797, 5698, 25, 925, 11, 7257, 25, 925, 11, 37320, 25, 5907, 11772, 18689, 8, 341, 286, 420, 3960, 284, 1853, 280, 286, 420, 18648, 284, 7257, 280, 286, 420, 9914, 284, 1893, 3692, 1738, 1021, 310, 1853, 345, 310, 420, 18648, 345, 310, 14025, 6531, 13, 1600, 679, 20, 345, 310, 837, 198, 286, 1465, 286, 420, 49049, 1997, 64207, 1420, 9914, 11, 37320, 317, 262, 557, 262, 586, 706, 18700, 4658, 2777, 341, 286, 471, 420, 42636, 1996, 871, 220, 15, 280, 262, 557, 262, 586, 7068, 18700, 4658, 22452, 85020, 1318, 341, 286, 471, 420, 42636, 4875, 1209, 83, 8, 591, 259, 22793, 1449, 262, 557, 262, 879, 8737, 1997, 64207, 7103, 25, 6146, 11, 37320, 25, 5907, 11772, 18689, 8, 341, 286, 422, 320, 285, 41, 5608, 511, 7103, 595, 341, 310, 420, 38458, 9743, 18700, 7103, 11, 37320, 317, 286, 457, 286, 83632, 3736, 7103, 11, 320, 3593, 8, 591, 341, 310, 420, 49049, 1997, 64207, 7103, 11, 37320, 317, 286, 1657, 262, 557, 262, 879, 8819, 9743, 18700, 3203, 2289, 11697, 41, 5608, 511, 2284, 3593, 25, 350, 11, 37320, 25, 5907, 11772, 18689, 8, 341, 286, 369, 2809, 4733, 315, 2494, 2927, 9743, 8, 341, 310, 738, 15522, 284, 611, 74694, 50652, 656, 68980, 71219, 29211, 7727, 10380, 74694, 14, 70, 401, 310, 1095, 2489, 284, 854, 280, 310, 1418, 1209, 6481, 284, 15522, 16153, 19702, 32070, 7861, 341, 394, 738, 314, 1584, 335, 284, 420, 9914, 99457, 3112, 12686, 2173, 3897, 19702, 13304, 317, 394, 738, 4445, 284, 1797, 3648, 1074, 19702, 32070, 14872, 7, 15, 11, 2489, 5265, 4489, 394, 420, 42636, 2615, 1792, 22452, 2323, 1021, 504, 2489, 58, 16, 1282, 504, 1584, 489, 4445, 345, 504, 420, 3960, 345, 504, 37320, 1420, 3960, 340, 394, 16925, 310, 457, 286, 457, 262, 557, 15053, 322, 49414, 8633, 33709, 1723, 1797, 3648, 1074, 3764, 25, 925, 1680, 1396, 341, 262, 738, 9248, 284, 907, 11319, 28872, 77, 4951, 317, 262, 422, 320, 20509, 8, 341, 286, 471, 9248, 1996, 489, 220, 16, 280, 262, 335, 775, 341, 286, 471, 220, 15, 280, 262, 457, 633, 1723, 374, 41, 5608, 511, 4496, 25, 904, 1680, 1665, 374, 11697, 41, 5608, 511, 341, 262, 471, 364, 2580, 9743, 6, 304, 1665, 280, 633, 5077, 11697, 41, 5608, 511, 341, 262, 7139, 9743, 25, 622, 5608, 511, 15428, 262, 3169, 25, 33217, 10854, 280, 262, 2748, 25, 420, 280, 633, 5077, 622, 5608, 511, 341, 262, 4068, 25, 925, 280, 262, 1153, 25, 1396, 280, 534, 128001 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523 ]
524