SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3066, 281, 2745, 2891, 6434, 265, 3066, 815, 476, 14838, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3066, 281, 2745, 2891, 6434, 270, 3066, 815, 476, 274, 269, 271, 4097, 4366, 273, 4037, 279, 30663, 6924, 280, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 266, 1789, 815, 476, 14093, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 268, 1789, 815, 476, 6812, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 265, 1789, 815, 476, 25784, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 270, 1789, 815, 476, 273, 269, 280, 3451, 18357, 18357, 18357, 18357, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 266, 4029, 815, 476, 15686, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 268, 4029, 815, 476, 6872, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 265, 4029, 815, 476, 26604, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 270, 4029, 815, 476, 273, 269, 279, 4343, 3583, 280, 277, 6507, 275, 866, 28307, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 266, 3953, 815, 476, 6344, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 268, 3953, 815, 476, 6321, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 265, 3953, 815, 476, 27005, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 270, 3953, 815, 476, 273, 269, 4037, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 266, 3451, 815, 476, 13199, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 268, 3451, 815, 476, 4649, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 265, 3451, 815, 476, 23310, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 270, 3451, 815, 476, 273, 269, 26116, 26116, 26116, 26116, 26116, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 266, 4097, 815, 476, 14338, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 268, 4097, 815, 476, 7918, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 265, 4097, 815, 476, 26482, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 270, 4097, 815, 476, 273, 269, 276, 6434, 20720, 29848, 14056, 5038, 278, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 266, 3374, 815, 476, 11277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 268, 3374, 815, 476, 7871, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 265, 3374, 815, 476, 28143, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 270, 3374, 815, 476, 273, 269, 276, 1691, 26326, 278, 1691, 26326, 278, 1691, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 266, 3607, 815, 476, 14862, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 268, 3607, 815, 476, 7367, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 265, 3607, 815, 476, 22332, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 270, 3607, 815, 476, 273, 269, 29900, 29900, 29900, 29900, 29900, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 266, 4391, 815, 476, 10219, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 268, 4391, 815, 476, 7906, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 265, 4391, 815, 476, 23283, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 270, 4391, 815, 476, 273, 269, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 266, 4343, 815, 476, 14695, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 268, 4343, 815, 476, 2004, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 265, 4343, 815, 476, 31172, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 270, 4343, 815, 476, 273, 269, 25628, 4281, 280, 5325, 274, 6924, 275, 13975, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 266, 4375, 815, 476, 14096, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 268, 4375, 815, 476, 5392, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 265, 4375, 815, 476, 29340, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 270, 4375, 815, 476, 273, 269, 16348, 25148, 16348, 25148, 16348, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 266, 2412, 815, 476, 12553, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 268, 2412, 815, 476, 4366, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 265, 2412, 815, 476, 31134, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 270, 2412, 815, 476, 273, 269, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 266, 6078, 815, 476, 15782, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 268, 6078, 815, 476, 5325, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 265, 6078, 815, 476, 11740, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 270, 6078, 815, 476, 273, 269, 16409, 30130, 5379, 274, 29300, 277, 4097, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 266, 5655, 815, 476, 9873, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 268, 5655, 815, 476, 5379, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 265, 5655, 815, 476, 3607, 280, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 270, 5655, 815, 476, 273, 269, 271, 4817, 24487, 271, 4817, 24487, 271, 4817, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 266, 6246, 815, 476, 14530, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 268, 6246, 815, 476, 3393, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 265, 6246, 815, 476, 274, 4281, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 270, 6246, 815, 476, 273, 269, 271, 5379, 276, 1556, 277, 2767, 3445, 277, 280, 6507, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 266, 4510, 815, 476, 15171, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 268, 4510, 815, 476, 4510, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 265, 4510, 815, 476, 4343, 278, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 270, 4510, 815, 476, 273, 269, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3393, 281, 2745, 2891, 6434, 266, 3393, 815, 476, 15836, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3393, 281, 2745, 2891, 6434, 268, 3393, 815, 476, 6246, 14744, 604, 3593, 6358, 272, 2652, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1858, 568, 966, 692, 343, 284, 322, 311, 23444, 290, 310, 23444, 309, 265, 11133, 290, 1841, 268, 272, 4297, 270, 273, 454, 1721, 594, 284, 272, 547, 524, 311, 454, 9526, 6831, 731, 9217, 21726, 11971, 264, 12262, 14322, 962, 568, 1305, 2907, 454, 343, 24210, 266, 309, 454, 10113, 594, 692, 332, 1276, 4443, 982, 3843, 547, 5173, 513, 1875, 31059, 3830, 692, 27237, 292, 2433, 713, 3009, 568, 585, 14745, 5301, 1152, 267, 543, 568, 711, 5921, 607, 513, 2759, 9706, 4292, 3070, 269, 898, 568, 909, 547, 596, 547, 1174, 519, 1184, 543, 3082, 621, 547, 3514, 707, 25896, 780, 296, 4769, 1406, 14477, 3442, 1346, 19641, 267, 621, 779, 1018, 513, 2147, 570, 290, 294, 9315, 3014, 1031, 1759, 593, 13819, 32718, 594, 3576, 780, 15368, 1227, 594, 1616, 519, 6486, 547, 1205, 6251, 547, 1142, 824, 519, 811, 6486, 972, 616, 538, 519, 6345, 779, 1688, 269, 634, 18545, 779, 1688, 568, 1776, 1650, 2094, 1346, 6486, 616, 1373, 18808, 689, 1318, 547, 2451, 3079, 540, 2451, 547, 1318, 780, 2691, 596, 723, 835, 3556, 538, 519, 1688, 621, 786, 979, 538, 519, 4099, 540, 519, 17198, 693, 630, 4343, 274, 267, 476, 278, 3066, 6393, 604, 596, 723, 476, 272, 547, 476, 278, 6486, 2560, 1287, 1175, 1118, 513, 8564, 8865, 3948, 2507, 1586, 2507, 621, 568, 4443, 982, 9258, 4702, 513, 1875, 31059, 3830, 692, 7775, 946, 606, 5044, 1384, 291, 574, 1975, 5217, 3890, 607, 8870, 815, 5044, 263, 271, 267, 271, 267, 1626, 267, 1321, 267, 1015, 267, 274, 16427, 1704, 16427, 4029, 2020, 2252, 596, 616, 1305, 593, 606, 3830, 267, 946, 9185, 547, 1683, 596, 606, 16759, 269, 1280, 1383, 281, 586, 815, 910, 271, 269, 271, 4391, 343, 317, 274, 910, 476, 272, 269, 277, 4281, 277, 343, 317, 273, 1341, 476, 279, 269, 13893, 273, 20080, 1341, 476, 276, 269, 3445, 275, 279, 692, 314, 638, 1774, 284, 31003, 3583, 280, 281, 287, 27144, 1284, 11232, 316, 7775, 946, 606, 5044, 1384, 291, 574, 1975, 5217, 3890, 607, 8870, 815, 5044, 263, 271, 267, 271, 267, 1626, 267, 1321, 267, 1015, 267, 274, 16427, 1704, 16427, 4029, 264, 1496, 270, 638, 1774, 2639, 6546, 3085, 1406, 948, 607, 972, 786, 581, 811, 982, 1175, 476, 278, 6486, 538, 519, 1688, 4470, 593, 519, 3510, 269, 1703, 1223, 581, 476, 1428, 610, 811, 780, 296, 723, 1100, 2856, 1018, 602, 568, 269, 2334, 779, 1259, 3564, 1250, 2979, 1983, 780, 296, 4076, 4956, 585, 1631, 547, 946, 513, 4542, 1175, 1175, 5036, 519, 6486, 693, 513, 1808, 8884, 269, 17610, 594, 666, 1152, 4159, 476, 279, 6486, 693, 1022, 2016, 942, 610, 789, 786, 581, 3544, 519, 7298, 2039, 540, 519, 17198, 855, 621, 1058, 581, 2614, 585, 1631, 780, 296, 7058, 952, 972, 786, 581, 513, 27630, 610, 811, 6486, 594, 666, 2995, 519, 3009, 547, 6175, 519, 2230, 1063, 6486, 547, 1945, 4130, 780, 296, 4076, 1336, 713, 3896, 3833, 5363, 693, 2053, 1384, 10674, 2517, 4178, 269, 19986, 4118, 2593, 270, 18091, 592, 710, 272, 11258, 692, 6546, 729, 1175, 606, 1383, 269, 1411, 666, 1039, 519, 3606, 19437, 2418, 547, 519, 5044, 267, 835, 1871, 585, 1142, 3606, 3556, 269, 1284, 666, 1406, 2285, 596, 513, 2347, 2626, 950, 596, 1152, 2995, 721, 851, 540, 519, 1966, 269, 594, 8263, 602, 596, 917, 519, 5021, 1297, 540, 6486, 602, 513, 6345, 666, 7654, 723, 269, 1403, 596, 2995, 721, 519, 838, 659, 902, 585, 782, 540, 873, 267, 1287, 649, 666, 2285, 596, 513, 2407, 2626, 780, 263, 293, 312, 296, 267, 1759, 593, 519, 2338, 596, 723, 2016, 721, 267, 972, 568, 1100, 7805, 2241, 4806, 269, 1924, 649, 666, 1406, 3514, 1022, 2241, 4542, 547, 891, 2338, 24355, 296, 4076, 4956, 547, 946, 513, 2241, 4542, 1141, 3556, 835, 568, 2141, 538, 519, 1482, 1747, 543, 1287, 513, 19585, 602, 2242, 519, 19437, 1759, 593, 519, 1297, 540, 6486, 538, 519, 6345, 779, 1688, 269, 5455, 547, 476, 279, 6486, 815, 476, 4281, 19641, 267, 476, 279, 268, 1556, 6486, 568, 476, 2004, 543, 811, 982, 476, 1556, 568, 476, 1789, 269, 594, 666, 4159, 909, 547, 476, 736, 6486, 609, 713, 269, 898, 568, 12691, 602, 972, 786, 581, 811, 982, 602, 585, 1631, 780, 12552, 585, 519, 948, 780, 296, 7058, 5555, 267, 2663, 593, 950, 519, 3014, 568, 2965, 2324, 594, 3580, 556, 1740, 621, 865, 519, 6486, 786, 1847, 950, 6537, 780, 6533, 596, 3830, 568, 454, 11898, 14352, 20135, 318, 12296, 24179, 11133, 6831, 1841, 265, 12296, 15058, 6831, 731, 4297, 14370, 11133, 6831, 1841, 268, 272, 2020, 20135, 318, 12296, 284, 323, 2700, 23276, 602, 519, 6486, 1590, 3514, 1369, 630, 4754, 11663, 9884, 5954, 11631, 286, 994, 11133, 6831, 1841, 815, 1297, 540, 6486, 538, 519, 1688, 454, 12296, 15058, 6831, 731, 815, 1297, 540, 19641, 8700, 519, 8642, 3239, 540, 519, 3556, 568, 692, 10472, 2230, 968, 301, 892, 6486, 14961, 7488, 540, 519, 1297, 540, 6486, 0, 3499, 9223, 476, 4510, 280, 4281, 279, 454, 293, 2393, 4252, 568, 519, 1034, 5172, 7328, 547, 4585, 593, 8613, 585, 476, 2412, 260, 540, 782, 4079, 269, 2422, 519, 3339, 5506, 3892, 547, 16977, 713, 23481, 5506, 3892, 547, 1265, 519, 5506, 602, 538, 513, 4351, 3732, 540, 476, 4335, 4079, 267, 476, 6977, 547, 476, 4198, 786, 2161, 11176, 568, 741, 1034, 5172, 7328, 547, 4585, 593, 8613, 563, 763, 23481, 623, 263, 6977, 261, 258, 277, 1626, 6734, 282, 1535, 1299, 258, 277, 1626, 6734, 282, 476, 4198, 264, 815, 12223, 13090, 692, 2411, 454, 8794, 519, 3339, 19406, 596, 1616, 623, 263, 7277, 269, 276, 27045, 1535, 10922, 4198, 269, 276, 994, 11743, 815, 5286, 815, 476, 4335, 265, 271, 269, 275, 815, 476, 1220, 454, 560, 323, 815, 21762, 18828, 336, 264, 815, 21762, 263, 1220, 265, 271, 269, 277, 264, 815, 476, 1015, 269, 4817, 454, 2411, 454, 734, 8894, 345, 263, 7277, 269, 276, 264, 815, 630, 7277, 269, 276, 268, 1220, 8358, 1015, 269, 4817, 815, 910, 272, 269, 25870, 276, 454, 734, 8894, 345, 263, 4198, 269, 276, 264, 815, 630, 4198, 269, 276, 268, 1220, 8358, 1015, 269, 4817, 815, 910, 271, 269, 30329, 271, 454, 4499, 454, 303, 263, 6977, 27045, 1535, 10922, 4198, 264, 349, 623, 8987, 272, 269, 25870, 276, 27045, 1990, 10922, 268, 271, 269, 30329, 271, 264, 815, 476, 271, 269, 26783, 272, 454, 13117, 4499, 454, 10267, 619, 2676, 1805, 534, 670, 269, 3499, 0, 1012, 1395, 339, 9418, 326, 14766, 476, 273, 1296, 3516, 19279, 23194, 2324, 693, 519, 28561, 585, 14964, 519, 9640, 269, 901, 3018, 646, 887, 1372, 585, 476, 274, 269, 276, 3108, 267, 799, 568, 476, 275, 269, 276, 1447, 982, 7466, 519, 1297, 540, 3108, 646, 5249, 269, 1215, 1082, 3108, 1705, 646, 960, 713, 3018, 286, 2913, 554, 815, 519, 1297, 540, 3108, 646, 5249, 269, 589, 269, 476, 275, 269, 276, 910, 476, 273, 263, 274, 269, 276, 264, 815, 554, 282, 554, 815, 476, 273, 269, 276, 645, 269, 476, 273, 263, 274, 269, 276, 264, 910, 476, 275, 269, 276, 815, 554, 282, 554, 815, 476, 273, 269, 276, 595, 269, 476, 274, 269, 276, 815, 476, 275, 269, 276, 910, 476, 273, 327, 282, 554, 815, 476, 271, 269, 276, 667, 269, 476, 273, 263, 274, 269, 276, 264, 910, 476, 275, 269, 276, 815, 554, 282, 554, 815, 476, 273, 269, 276, 692, 272, 269, 1395, 339, 9418, 326, 14766, 692, 287, 28926, 13892, 692, 273, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 1607, 3018, 646, 887, 1372, 585, 476, 274, 269, 276, 3108, 267, 799, 568, 476, 275, 269, 276, 1447, 982, 7466, 519, 1297, 540, 3108, 646, 5249, 18922, 547, 476, 274, 269, 276, 815, 476, 275, 269, 276, 910, 476, 273, 16732, 15893, 540, 3108, 5249, 264, 865, 1018, 568, 707, 3830, 2496, 274, 269, 1395, 339, 9418, 326, 14766, 692, 529, 621, 589, 2496, 275, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 7224, 602, 781, 11234, 692, 276, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 516, 2897, 834, 15893, 540, 3108, 5249, 257, 609, 834, 327, 5016, 277, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 9767, 666, 798, 713, 1317, 596, 1500, 554, 815, 1297, 540, 3108, 5249, 692, 278, 269, 1395, 339, 9418, 326, 14766, 692, 7717, 787, 594, 5921, 645, 269, 594, 4769, 1405, 1611, 547, 2161, 589, 780, 279, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 321, 13512, 267, 5079, 645, 543, 667, 616, 9838, 568, 713, 513, 1462, 334, 2496, 280, 269, 1395, 339, 9418, 326, 14766, 692, 1015, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 758, 1775, 1294, 1141, 519, 1483, 2626, 568, 1631, 692, 1556, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 527, 1058, 581, 476, 274, 269, 276, 815, 476, 273, 16732, 15893, 540, 3108, 5249, 264, 910, 476, 275, 269, 276, 692, 1321, 269, 1395, 339, 9418, 326, 14766, 692, 290, 2439, 1724, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 322, 8091, 692, 1691, 269, 1395, 339, 9418, 326, 14766, 692, 291, 836, 269, 1775, 729, 2469, 547, 2161, 602, 3079, 540, 645, 269, 1775, 3893, 782, 519, 5022, 11821, 269, 8729, 585, 7713, 2439, 1428, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 344, 342, 0, 278, 454, 276, 454, 280, 454, 280, 454, 279, 454, 275, 454, 277, 454, 274, 454, 274, 454, 275, 454, 273, 454, 276, 454, 279, 454, 280, 454, 273, 454, 278, 454, 275, 454, 279, 454, 280, 454, 273, 454, 272, 454, 276, 454, 278, 692, 1607, 14181, 18602, 10658, 14794, 814, 476, 6924, 3268, 543, 621, 568, 12193, 1210, 26726, 17266, 267, 700, 18088, 15443, 573, 919, 7392, 476, 272, 630, 11592, 532, 1070, 700, 18088, 15443, 573, 919, 7392, 476, 273, 630, 5141, 2727, 532, 1070, 715, 8898, 10222, 921, 267, 3768, 18249, 267, 4787, 903, 28755, 704, 267, 23120, 715, 823, 31230, 267, 2598, 11666, 6681, 715, 823, 31230, 267, 715, 8898, 17266, 267, 9509, 5600, 2553, 780, 2521, 1677, 16534, 901, 10658, 14794, 692, 1012, 8827, 17778, 1384, 272, 269, 18007, 476, 275, 1315, 28758, 476, 277, 9890, 476, 280, 630, 295, 5200, 17266, 994, 273, 269, 18007, 476, 272, 1315, 28758, 476, 272, 9890, 476, 275, 630, 295, 5200, 17266, 994, 274, 269, 18007, 476, 278, 1315, 28758, 476, 275, 9890, 476, 276, 630, 295, 5200, 17266, 994, 275, 269, 18007, 476, 276, 1315, 28758, 476, 273, 9890, 476, 280, 630, 295, 5200, 17266, 994, 276, 269, 18007, 476, 280, 1315, 28758, 476, 274, 9890, 476, 276, 630, 295, 5200, 17266, 994, 277, 269, 18007, 476, 278, 1315, 28758, 476, 276, 9890, 476, 278, 630, 295, 5200, 17266, 994, 278, 269, 18007, 476, 276, 1315, 28758, 476, 276, 9890, 476, 275, 630, 295, 5200, 17266, 994, 279, 269, 18007, 476, 279, 1315, 28758, 476, 275, 9890, 476, 275, 630, 295, 5200, 17266, 994, 280, 269, 18007, 476, 277, 1315, 28758, 476, 276, 9890, 476, 279, 630, 295, 5200, 17266, 994, 1015, 269, 700, 18088, 15443, 573, 919, 7392, 476, 272, 630, 11592, 532, 2567, 476, 278, 538, 536, 273, 18092, 678, 273, 322, 278, 283, 285, 278, 454, 1556, 269, 700, 18088, 15443, 573, 919, 7392, 476, 272, 630, 11592, 532, 2567, 476, 272, 538, 536, 276, 18092, 678, 273, 322, 275, 283, 285, 272, 454, 1321, 269, 700, 18088, 15443, 573, 919, 7392, 476, 273, 630, 5141, 2727, 532, 2567, 476, 274, 538, 524, 275, 18092, 678, 277, 322, 277, 283, 285, 274, 454, 1724, 269, 715, 8898, 10222, 921, 281, 476, 272, 267, 276, 267, 277, 538, 678, 275, 322, 2537, 267, 337, 277, 322, 273, 18092, 678, 276, 322, 1724, 267, 337, 277, 322, 272, 283, 285, 272, 267, 678, 276, 322, 1724, 267, 337, 277, 322, 272, 283, 285, 277, 454, 1691, 269, 2473, 8862, 532, 281, 476, 279, 524, 2764, 678, 2764, 18092, 678, 279, 322, 272, 283, 285, 279, 454, 1428, 269, 4787, 903, 28755, 704, 281, 476, 274, 538, 678, 272, 322, 277, 267, 337, 274, 322, 273, 630, 8588, 676, 678, 279, 322, 2918, 264, 18092, 678 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12024, 782, 6280, 3594, 267, 519, 2296, 1957, 3340, 2565, 2219, 543, 3532, 4661, 566, 267, 855, 922, 2285, 3007, 547, 1893, 543, 2673, 21849, 2079, 2306, 621, 2189, 269, 9956, 779, 16077, 568, 519, 2063, 630, 663, 20125, 264, 540, 519, 476, 274, 1804, 16520, 5811, 10390, 9956, 534, 15824, 602, 1142, 1164, 1153, 20194, 14509, 4505, 982, 30134, 618, 269, 6145, 519, 14230, 540, 5261, 9956, 779, 32333, 267, 621, 568, 28077, 609, 1713, 4798, 543, 5396, 585, 5339, 2079, 3594, 563, 5978, 3028, 5531, 338, 606, 5863, 2594, 540, 4081, 5830, 945, 723, 2157, 538, 9867, 4610, 540, 1702, 269, 1358, 917, 519, 15116, 885, 540, 3872, 1603, 267, 865, 707, 1957, 1522, 16520, 4828, 581, 23182, 3146, 572, 2117, 1117, 543, 723, 606, 10858, 3898, 543, 2511, 269, 9521, 1114, 1603, 2533, 267, 649, 786, 3382, 18374, 1022, 1888, 543, 1957, 4990, 563, 16521, 519, 16520, 4828, 5149, 609, 519, 25642, 661, 1504, 13268, 538, 2013, 707, 5399, 3085, 1406, 2907, 1331, 519, 21927, 5931, 26518, 1369, 519, 5149, 269, 1403, 596, 798, 711, 12726, 16520, 5811, 4828, 1616, 519, 4123, 19545, 3640, 267, 6718, 519, 16520, 4828, 5149, 1510, 519, 11780, 661, 26247, 13268, 630, 553, 8810, 538, 713, 1587, 22753, 1916, 7659, 7600, 4997, 1280, 1557, 5439, 21661, 634, 2974, 320, 454, 20329, 15351, 24608, 9880, 568, 5339, 9880, 16135, 538, 25164, 24608, 2856, 540, 519, 13653, 540, 25164, 4519, 267, 590, 10176, 1495, 22506, 630, 6977, 277, 268, 4350, 280, 1040, 31943, 619, 2119, 543, 25164, 3315, 2763, 519, 5856, 779, 17499, 16858, 267, 519, 5467, 779, 6114, 267, 543, 519, 3197, 538, 519, 960, 269, 634, 3803, 1935, 14122, 8524, 532, 519, 1257, 585, 6698, 543, 5626, 23838, 269, 769, 1840, 547, 22506, 267, 1883, 5515, 616, 31897, 14161, 28044, 543, 267, 1034, 5063, 267, 10496, 13196, 30086, 534, 563, 13014, 1142, 1377, 540, 519, 5581, 538, 513, 1935, 602, 621, 20781, 547, 835, 540, 1082, 2055, 799, 786, 2408, 1247, 7234, 519, 6074, 4062, 540, 3332, 269, 1323, 7650, 2337, 547, 7866, 519, 10616, 538, 2278, 779, 1702, 269, 3962, 8559, 32302, 513, 20194, 589, 16520, 5811, 2115, 547, 2932, 3063, 2079, 547, 1205, 519, 3435, 547, 3875, 1898, 2055, 269, 1684, 711, 1376, 7722, 593, 606, 7650, 1510, 4974, 519, 21249, 19875, 538, 3877, 563, 7212, 2141, 5059, 2390, 6268, 267, 713, 2511, 540, 3594, 666, 2039, 14916, 538, 922, 5921, 9458, 267, 2769, 5301, 267, 543, 5697, 2409, 610, 4485, 269, 2659, 13588, 786, 1034, 1419, 581, 513, 4999, 540, 707, 2852, 2828, 543, 707, 7548, 4433, 1040, 16480, 267, 621, 1223, 10123, 7854, 5339, 5640, 538, 2013, 596, 616, 4058, 547, 1699, 707, 21849, 1543, 693, 513, 5339, 10554, 610, 10505, 707, 21849, 1543, 547, 513, 4760, 585, 7156, 585, 8313, 269, 16520, 9382, 949, 849, 4196, 1028, 9285, 5301, 585, 1312, 519, 2278, 543, 519, 5467, 269, 932, 1734, 616, 596, 3580, 2328, 610, 1451, 5097, 547, 3605, 519, 1257, 3294, 585, 3606, 4030, 267, 547, 8858, 707, 2143, 1344, 540, 519, 21849, 1543, 547, 707, 13588, 267, 547, 1826, 610, 13498, 606, 4661, 513, 7008, 540, 1880, 4480, 547, 1224, 519, 1257, 267, 610, 547, 1118, 4296, 547, 824, 1568, 540, 3332, 610, 6436, 540, 5339, 1382, 543, 865, 8521, 563, 2467, 779, 606, 3970, 1652, 1297, 540, 1114, 1557, 6927, 799, 1223, 581, 9916, 269, 769, 519, 2680, 596, 3494, 602, 596, 4076, 3893, 2798, 2059, 609, 707, 10763, 1557, 267, 1810, 1406, 16520, 5811, 4828, 12726, 19292, 547, 3346, 5345, 1211, 569, 267, 1603, 606, 1557, 609, 4704, 547, 17089, 568, 3274, 1932, 2596, 269, 898, 568, 849, 4847, 865, 602, 596, 666, 18220, 930, 4282, 9623, 4143, 547, 519, 3332, 2511, 610, 547, 519, 17082, 540, 519, 4062, 596, 2461, 7421, 563, 18184, 1841, 1280, 8056, 18957, 10298, 769, 1557, 5439, 454, 14738, 1934, 267, 649, 786, 723, 513, 1413, 693, 606, 4806, 2079, 540, 654, 9801, 532, 1261, 2074, 543, 1353, 835, 540, 519, 5339, 4559, 602, 17588, 974, 3096, 547, 1118, 621, 513, 17512, 881, 1650, 281, 1273, 4854, 2887, 2329, 269, 4793, 4854, 2887, 2329, 568, 950, 519, 4365, 610, 2470, 20475, 519, 4664, 540, 519, 3197, 269, 901, 2079, 568, 10156, 982, 596, 616, 17191, 547, 798, 267, 865, 1118, 2386, 547, 9784, 3063, 1880, 338, 610, 2188, 538, 707, 1378, 9382, 563, 23945, 519, 942, 5265, 269, 898, 779, 1455, 547, 711, 723, 6190, 942, 547, 1451, 676, 782, 519, 3332, 269, 5269, 513, 1544, 585, 519, 1259, 513, 2603, 596, 7654, 666, 581, 6026, 538, 513, 1554, 267, 543, 6414, 5339, 2079, 4367, 609, 621, 269, 1284, 4363, 2542, 519, 10372, 2451, 676, 1346, 602, 6836, 938, 1557, 1603, 3028, 269, 1452, 8292, 786, 5351, 596, 1118, 513, 14656, 3375, 563, 8855, 281, 2290, 5037, 12217, 835, 2219, 269, 13693, 513, 5339, 2079, 1557, 3236, 585, 3308, 23456, 593, 875, 621, 779, 5963, 12913, 269, 634, 6240, 3483, 540, 519, 12830, 16520, 5811, 7151, 4284, 1664, 568, 547, 1397, 707, 19080, 1318, 610, 5667, 340, 3386, 269, 12315, 4396, 19577, 269, 3776, 9952, 5830, 666, 2347, 1022, 1788, 267, 7488, 540, 2339, 267, 7411, 267, 610, 21120, 269, 0, 16675, 1657, 3033, 22534, 540, 519, 21263, 12443, 339, 5341, 636, 620, 11017, 636, 670, 539, 342, 1421, 3395, 593, 519, 512, 1495, 571, 693, 8672, 4446, 992, 267, 14522, 267, 941, 6534, 547, 476, 1691, 4596, 273, 538, 519, 2361, 269, 4201, 528, 14508, 2762, 543, 7766, 10203, 7000, 4776, 22460, 6037, 6327, 540, 519, 13042, 7135, 883, 1007, 2630, 3033, 22534, 16109, 689, 519, 3573, 11895, 6565, 1062, 269, 10738, 476, 2190, 554, 782, 6565, 1949, 13939, 1185, 1044, 13042, 2429, 267, 513, 5021, 3845, 540, 476, 278, 269, 276, 4699, 1373, 4988, 538, 713, 942, 267, 10834, 5934, 3928, 540, 476, 274, 269, 272, 6515, 554, 6629, 272, 16638, 920, 1162, 538, 519, 1297, 540, 1007, 22534, 1657, 3033, 2429, 519, 4005, 7000, 519, 6708, 543, 2956, 540, 713, 6037, 6327, 269, 26735, 622, 12508, 540, 12119, 2208, 13087, 6502, 540, 519, 22534, 693, 1079, 4609, 547, 581, 5462, 543, 849, 519, 6502, 540, 22534, 693, 2504, 540, 13708, 564, 836, 807, 538, 513, 3791, 3135, 1141, 2927, 1746, 729, 1455, 269, 634, 3448, 6337, 24678, 3928, 540, 519, 20422, 12405, 685, 2208, 941, 849, 5462, 267, 543, 4951, 602, 676, 519, 476, 274, 6113, 1032, 519, 6337, 24678, 4390, 1185, 12628, 547, 827, 476, 2412, 260, 540, 602, 538, 519, 21836, 5160, 593, 519, 1482, 9496, 7868, 3270, 540, 2208, 543, 6037, 6327, 540, 6337, 2106, 628, 622, 538, 12443, 339, 5341, 636, 620, 11017, 636, 616, 5941, 538, 6935, 547, 6668, 593, 519, 512, 1495, 320, 269, 0, 2237, 513, 28162, 1982, 547, 2638, 2436, 519, 9411, 1297, 568, 2318, 610, 2942, 563, 297, 6072, 14691, 910, 9978, 5358, 454, 26161, 568, 513, 4015, 540, 2147, 1826, 540, 2609, 602, 723, 513, 733, 27631, 3965, 4087, 563, 297, 6072, 5044, 568, 606, 1843, 799, 3568, 2609, 540, 513, 2147, 1239, 1826, 269, 898, 568, 513, 1239, 2497, 1141, 649, 4558, 2147, 2609, 269, 1284, 666, 4558, 1152, 513, 6378, 1305, 540, 2609, 538, 513, 10084, 5044, 563, 297, 6072, 9978, 14691, 281, 17943, 540, 28162, 454, 2237, 513, 28162, 1982, 547, 1820, 13532, 543, 10101, 6606, 1775, 4318, 269, 950, 3593, 13788, 513, 1871, 585, 608, 476, 1015, 269, 276, 519, 3977, 1058, 2097, 476, 1015, 11899, 543, 454, 2237, 513, 28162, 1982, 547, 6460, 513, 2016, 1297, 540, 2395, 538, 2474, 540, 1296, 267, 3275, 543, 2395, 563, 2237, 513, 28162, 1982, 547, 1265, 1297, 540, 476, 1911, 271, 267, 4335, 267, 1911, 267, 2004, 267, 736, 267, 1015, 267, 276, 267, 272, 8297, 701, 324, 4967, 269, 0, 268, 1772, 3109, 513, 2681, 888, 268, 1548, 1281, 2681, 3109, 1611, 538, 519, 6426, 888, 268, 1772, 621, 1055, 3043, 610, 3368, 3043, 888, 268, 1548, 10902, 568, 3109, 888, 268, 1548, 1826, 540, 2262, 568, 3109, 888, 268, 1772, 3109, 543, 3043, 513, 10902, 888, 268, 1548, 568, 519, 8231, 540, 3109, 888, 268, 2052, 3109, 581, 1031, 607, 513, 10902, 888, 268, 1548, 568, 621, 1572, 950, 1945, 568, 3109, 543, 3043, 888, 268, 1548, 568, 519, 4158, 652, 12094, 540, 3109, 888, 268, 1772, 3043, 782, 4778, 5916, 888, 268, 1772, 519, 2681, 3043, 513, 10902, 888, 268, 1548, 568, 513, 3043, 888, 268, 1548, 568, 519, 4214, 540, 7385, 888, 268, 1548, 568, 1776, 2262, 585, 3109, 543, 3043, 3206, 888, 268, 1772, 972, 513, 3109, 8675, 888, 268, 1772, 3109, 513, 18781, 2262, 888, 268, 1772, 24321, 312, 513, 2681, 888, 3674, 3109, 513, 2681, 888, 14937, 568, 519, 9000, 540, 1769, 563, 5278, 2015, 3043, 547, 581, 513, 2681, 267, 1317, 3043, 1769, 13408, 782, 24698, 593, 519, 7298, 1769, 8552, 563, 4517, 1082, 798, 2015, 3109, 547, 581, 513, 2681, 267, 1317, 596, 9192, 824, 23416, 547, 1711, 621, 593, 1957, 563, 3719, 538, 513, 2930, 2631, 267, 3109, 543, 3043, 616, 711, 4778, 267, 789, 2461, 18707, 10756, 1432, 1281, 2681, 3109, 1611, 538, 519, 6426, 888, 1103, 519, 4168, 13513, 267, 621, 18575, 10513, 13336, 269, 898, 568, 519, 2681, 540, 19999, 1815, 739, 269, 4563, 269, 590, 4660, 547, 2099, 519, 6207, 267, 1526, 3599, 267, 552, 1181, 640, 610, 519, 27042, 267, 3109, 949, 849, 20301, 2669, 267, 4250, 543, 22293, 563, 3674, 621, 1055, 3043, 610, 3368, 3043, 888, 24868, 725, 540, 3043, 1331, 1018, 616, 4122, 17941, 1055, 22554, 4778, 267, 799, 949, 581, 2808, 851, 540, 513, 9243, 2681, 10325, 269, 2560, 769, 2681, 3069, 267, 513, 12094, 568, 513, 6986, 2681, 6404, 609, 3109, 630, 528, 2348, 513, 2539, 1769, 1145, 1040, 853, 2774, 569, 6340, 267, 513, 968, 3333, 1228, 540, 3043, 892, 1131, 581, 513, 9243, 15454, 563, 1432, 10902, 568, 3109, 888, 18872, 18781, 267, 10902, 1496, 308, 316, 630, 4596, 299, 3036, 264, 630, 1993, 264, 519, 4158, 652, 2681, 972, 568, 267, 899, 3781, 281, 1261, 729, 21039, 782, 538, 3109, 269, 4563, 6995, 610, 7401, 814, 1100, 5144, 610, 8645, 538, 621, 563, 1432, 1826, 540, 2262, 568, 3109, 888, 18872, 26479, 543, 14271, 11618, 18781, 18872, 1260, 1706, 894, 18872, 619, 10967, 331, 894, 18872, 652, 454, 3674, 3109, 543, 3043, 513, 10902, 888, 18872, 1700, 663, 1700, 19990, 630, 611, 11187, 264, 3109, 1700, 663, 1700, 19009, 630, 611, 11187, 264, 2560, 3109, 1700, 339, 773, 630, 611, 11187, 264, 3109, 543, 3043, 630, 29825, 994, 1432, 568, 519, 8231, 540, 3109, 888, 2414, 1118, 3109, 267, 547, 3109, 523, 269, 1677, 4019, 3109, 532, 547, 1945, 563, 4692, 3109, 581, 1031, 607, 513, 10902, 888, 2108, 14937, 892, 568, 1455, 607, 606, 18781, 2443, 968, 1492, 1101, 3109, 7022, 892, 2443, 855, 607, 513, 10902, 267, 621, 568, 811, 1455, 547, 946, 968, 534, 3979, 12677, 1848, 1717, 267, 621, 5526, 602, 968, 320, 3109, 892, 568, 711, 1152, 9516, 676, 519, 25204, 6199, 2511, 3391, 267, 855, 2838, 563, 1432, 568, 621, 1572, 950, 1945, 568, 3109, 543, 3043, 888, 763, 2165, 1395, 5255, 4435, 2501, 689, 519, 9147, 5259, 281, 13179, 14267, 14832, 32703, 395, 485, 16708, 22886, 19031, 14267, 19084, 267, 19005, 1242, 281, 1395, 29614, 657, 267, 1396, 269, 2048, 327, 3058, 835, 2681, 9957, 589, 1395, 29614, 1738, 1843, 610, 3239, 9356, 4778, 538, 18707, 540, 3908, 4778, 610, 24698, 269, 16103, 1210, 1152, 18707, 540, 15454, 630, 5976, 610, 1510, 3109, 610, 3043, 264, 616, 1572, 1178, 903, 7051, 610, 3109, 7146, 22554, 563, 1432, 568, 519, 4158, 652, 12094, 540, 3109, 888, 309, 656, 629, 331, 871, 25309, 476, 4200, 260, 540, 1769, 267, 1818, 621, 519, 4158, 652, 20119, 593, 3047, 563, 3674, 3043, 782, 4778, 5916, 888, 19669, 1769, 568, 513, 4999, 540, 782, 4778, 538, 519, 2681, 8552, 269, 898, 814, 782, 519, 4778, 540, 519, 22774, 269, 26157, 3119, 4778, 540, 1769, 899, 2699, 267, 4544, 267, 543, 3039, 5932, 6281, 4778, 281, 5835, 267, 19826, 267, 543, 4012, 31980, 563, 3674, 519, 2681, 3043, 513, 10902, 888, 19009, 10902, 630, 4596, 299, 3036, 994, 1432, 568, 513, 3043, 888, 19669, 568, 519, 1769, 652, 2681, 543, 568, 513, 577, 668, 1738, 630, 327, 3058, 1100, 27280, 1040, 898, 568, 519, 2681, 540, 4195 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 799, 6318, 519, 13258, 540, 5137, 540, 19844, 269, 634, 1614, 2553, 2168, 267, 7623, 267, 543, 5214, 2994, 616, 8246, 538, 519, 5910, 13015, 540, 519, 13947, 269, 23239, 13015, 568, 2944, 547, 1184, 519, 31429, 334, 3250, 21695, 547, 5838, 1447, 1950, 14836, 602, 616, 10123, 4957, 936, 883, 6915, 996, 12935, 269, 634, 2067, 2553, 585, 2126, 9001, 14471, 616, 10357, 14092, 5570, 617, 908, 543, 3132, 2973, 4492, 267, 1851, 782, 7103, 15495, 666, 7654, 1689, 936, 973, 531, 31842, 7847, 883, 4443, 14836, 998, 679, 9195, 1738, 543, 29230, 6776, 2994, 269, 634, 4527, 540, 519, 679, 9195, 1738, 5943, 538, 519, 1332, 2195, 25361, 538, 607, 519, 19539, 540, 519, 8734, 334, 7623, 28326, 13607, 585, 519, 4466, 540, 909, 7146, 10687, 619, 540, 519, 3940, 547, 1184, 31429, 334, 3250, 592, 4680, 267, 6464, 899, 22331, 1162, 267, 561, 3147, 848, 267, 646, 6193, 749, 592, 1162, 267, 31429, 514, 1162, 267, 533, 24514, 1162, 1404, 513, 14849, 538, 519, 10338, 540, 519, 973, 531, 31842, 7847, 13947, 269, 634, 6631, 2329, 540, 513, 2067, 5910, 13015, 568, 6417, 676, 513, 1906, 3334, 899, 4062, 540, 13947, 267, 26912, 4918, 30651, 267, 2011, 10009, 2557, 267, 14927, 1145, 1543, 267, 554, 10248, 942, 267, 2156, 5317, 2837, 267, 9063, 267, 543, 519, 7103, 2249, 3769, 269, 634, 1034, 1134, 268, 1634, 5057, 540, 5910, 13015, 568, 13890, 563, 13640, 553, 2572, 723, 606, 2500, 29230, 6776, 5943, 19579, 547, 1689, 936, 31429, 334, 3250, 592, 657, 545, 1570, 547, 4909, 31571, 585, 1646, 269, 15380, 267, 891, 15495, 12520, 6464, 267, 1519, 1591, 592, 1162, 630, 3250, 984, 1470, 5139, 1503, 1162, 267, 1439, 13709, 1075, 534, 1162, 1070, 646, 6193, 749, 592, 1162, 630, 343, 2643, 534, 1162, 264, 543, 16061, 3766, 569, 6523, 573, 1162, 269, 1306, 2484, 607, 18463, 7279, 267, 1719, 568, 10704, 1472, 711, 1175, 12423, 7135, 799, 1223, 5094, 31429, 334, 3250, 21695, 3648, 811, 3533, 267, 2943, 10123, 5946, 799, 1223, 16641, 9063, 267, 2837, 543, 7409, 7480, 12665, 269, 6154, 752, 12490, 540, 2558, 747, 25866, 320, 556, 3150, 328, 723, 1044, 6074, 602, 3132, 29414, 1591, 592, 1162, 909, 547, 476, 3374, 575, 269, 898, 814, 1044, 6069, 602, 9750, 519, 1880, 18463, 3350, 568, 519, 1034, 21483, 1259, 547, 4308, 609, 2324, 593, 519, 1870, 7399, 540, 31429, 334, 3250, 21695, 29230, 3974, 563, 290, 2787, 281, 5096, 344, 589, 630, 1708, 272, 264, 21954, 18341, 566, 540, 16581, 17904, 676, 674, 2426, 328, 269, 808, 4437, 648, 9712, 520, 21954, 18341, 476, 1321, 281, 552, 19740, 20396, 281, 476, 1015, 269, 275, 1704, 273, 270, 21497, 276, 268, 277, 866, 280, 269, 1911, 271, 324, 19740, 454, 15648, 281, 9736, 476, 1708, 272, 5096, 344, 589, 269, 901, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 15675, 707, 1893, 540, 1719, 547, 2070, 519, 2698, 1543, 538, 707, 5461, 1893, 454, 18704, 901, 9137, 454, 15411, 7457, 4260, 11594, 454, 268, 11192, 5784, 281, 476, 12893, 279, 454, 268, 1496, 5804, 9638, 3016, 566, 4266, 2567, 476, 271, 268, 271, 910, 2904, 476, 1839, 267, 476, 1708, 273, 2639, 268, 16505, 6658, 676, 2070, 1826, 454, 268, 14103, 2985, 5784, 281, 476, 279, 7830, 454, 268, 7300, 28085, 281, 476, 30640, 0, 299, 294, 6630, 3778, 13600, 3217, 1747, 538, 519, 5177, 538, 5988, 543, 6663, 547, 3895, 10892, 543, 6318, 4656, 540, 519, 28639, 5185, 676, 24139, 267, 14447, 267, 25251, 543, 19574, 1004, 563, 1103, 513, 2487, 1382, 676, 519, 4077, 640, 12942, 13665, 912, 1103, 713, 2376, 649, 13713, 1413, 693, 519, 4027, 602, 519, 25734, 2920, 267, 799, 2968, 1876, 476, 1015, 1296, 3516, 267, 2488, 547, 2043, 945, 2697, 607, 10349, 266, 563, 763, 25734, 2920, 14014, 1004, 1996, 7130, 1317, 540, 513, 6870, 8984, 269, 7201, 519, 25734, 2920, 267, 972, 616, 8370, 6870, 4162, 912, 32715, 4315, 543, 4600, 1927, 609, 2043, 945, 616, 1582, 15041, 23903, 3246, 741, 1378, 7694, 4579, 8078, 525, 873, 547, 1106, 519, 960, 13948, 723, 519, 1318, 711, 547, 581, 5806, 3990, 1996, 267, 3771, 21724, 610, 6408, 2213, 563, 763, 25734, 2920, 849, 6227, 2127, 3544, 540, 519, 7694, 2361, 971, 607, 2069, 267, 519, 11865, 540, 5370, 543, 2533, 267, 8027, 543, 519, 11865, 540, 2533, 5645, 856, 676, 1857, 8128, 563, 2467, 568, 1100, 27216, 1974, 540, 7694, 2838, 547, 11654, 513, 7130, 3409, 538, 519, 25477, 17650, 26915, 563, 763, 25734, 543, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 948, 2685, 2488, 519, 1739, 454, 29189, 783, 10066, 568, 513, 6870, 8984, 269, 898, 1797, 513, 1268, 779, 4638, 10066, 2509, 912, 11825, 976, 540, 519, 1482, 3023, 630, 7474, 568, 267, 519, 1268, 568, 513, 14447, 812, 610, 513, 24139, 11850, 11825, 976, 540, 519, 6587, 3023, 630, 7474, 568, 267, 519, 1268, 568, 10636, 18400, 5148, 610, 454, 11825, 976, 540, 2901, 3023, 630, 7474, 568, 267, 519, 1268, 568, 25251, 1916, 763, 4027, 896, 519, 25734, 2920, 2882, 875, 1004, 1745, 607, 1134, 607, 741, 3527, 269, 898, 666, 1331, 2576, 779, 5920, 282, 519, 4025, 789, 3643, 610, 519, 1004, 789, 12314, 609, 563, 29638, 15260, 9892, 568, 513, 5094, 6870, 8984, 543, 20775, 547, 4638, 10066, 269, 634, 25734, 2920, 11225, 4008, 15260, 9892, 607, 1004, 945, 616, 3981, 532, 547, 10929, 267, 616, 18460, 267, 610, 723, 22734, 513, 1184, 630, 528, 851, 540, 513, 1184, 264, 547, 15260, 793, 741, 3023, 676, 4657, 12214, 610, 824, 10305, 540, 3023, 547, 723, 519, 6870, 8984, 540, 4008, 15260, 9892, 563, 2252, 513, 1098, 25757, 11832, 568, 15534, 689, 960, 1317, 540, 4008, 15260, 9892, 267, 621, 568, 796, 32016, 547, 1521, 873, 1447, 7957, 2227, 29087, 982, 789, 1131, 581, 5701, 952, 789, 941, 15534, 1813, 547, 606, 4576, 610, 5945, 563, 17445, 543, 9940, 7130, 454, 11577, 19303, 666, 581, 1463, 610, 9940, 269, 1323, 1367, 949, 849, 1265, 2933, 1373, 3771, 21724, 610, 6408, 2213, 269, 4033, 982, 2085, 7130, 267, 1463, 7130, 3112, 581, 1843, 1947, 20582, 563, 2304, 1383, 540, 1463, 7130, 689, 519, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 281, 568, 513, 5205, 912, 4263, 513, 2816, 5967, 267, 606, 32358, 19528, 1352, 814, 513, 1482, 3023, 7649, 269, 4014, 1352, 568, 519, 1034, 11727, 11134, 267, 519, 16108, 16976, 711, 547, 2709, 1200, 519, 2816, 269, 901, 3375, 13000, 1200, 1447, 7957, 2227, 29087, 982, 519, 3811, 11134, 267, 945, 568, 513, 10636, 18400, 4807, 269, 1403, 519, 1447, 7957, 24461, 2126, 540, 519, 28336, 32358, 568, 1317, 540, 1200, 4638, 10066, 267, 713, 1131, 2179, 547, 1463, 7130, 563, 288, 6455, 30513, 28279, 1200, 16108, 602, 1352, 30242, 547, 6108, 519, 1964, 540, 1200, 1272, 2713, 607, 513, 812, 269, 1306, 513, 1267, 540, 713, 267, 1352, 568, 1629, 6838, 547, 513, 1909, 1510, 7817, 3346, 269, 634, 16108, 4679, 1200, 14057, 547, 1118, 909, 585, 519, 2530, 540, 2816, 4567, 269, 6736, 519, 2333, 538, 2628, 267, 519, 1629, 10056, 786, 13822, 1447, 7957, 24461, 2126, 1317, 540, 4008, 15260, 9892, 563, 2662, 12241, 1463, 7130, 1869, 4386, 267, 621, 568, 5051, 1447, 1455, 538, 519, 7694, 2361, 269, 2859, 1419, 982, 711, 267, 5520, 610, 4600, 7682, 602, 789, 723, 1044, 1641, 547, 9940, 7130, 269, 9940, 7130, 949, 2049, 950, 606, 16108, 10039, 606, 15151, 9243, 11865, 267, 21205, 610, 2259, 799, 12662, 4600, 4687, 513, 6870, 8984, 693, 513, 1880, 19319, 563, 14300, 540, 9940, 7130, 689, 519, 543, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 616, 607, 5205, 912, 2304, 16108, 6238, 606, 15632, 8400, 585, 1007, 5234, 609, 606, 4672, 22249, 6033, 2966, 547, 6338, 3025, 538, 519, 4055, 547, 519, 1866, 269, 3962, 11832, 568, 2838, 547, 1683, 513, 4605, 540, 2933, 607, 513, 22525, 269, 2290, 11832, 568, 513, 1098, 25757, 4807, 945, 1281, 711, 6999, 1200, 9164, 547, 917, 602, 1352, 729, 4547, 909, 607, 513, 7911, 269, 1879, 1352, 1281, 711, 3142, 538, 1200, 8666, 267, 519, 16108, 10404, 2478, 1200, 538, 4395, 540, 519, 1895, 585, 711, 11836, 538, 269, 898, 1131, 581, 1100, 20237, 602, 621, 1705, 711, 2049, 547, 519, 16108, 602, 713, 11832, 949, 1745, 27797, 676, 519, 10421, 547, 30035, 971, 1344, 563, 2304, 16108, 16976, 711, 547, 6166, 513, 1098, 25757, 9441, 779, 7694, 693, 519, 1439, 540, 513, 3670, 3275, 685, 2625, 566, 776, 1974, 1317, 540, 1010, 4057, 2773, 269, 634, 9441, 568, 18867, 25323, 269, 8616, 267, 693, 519, 1482, 942, 267, 519, 16108, 11498, 676, 1614, 3275, 519, 2625, 566, 776, 1974, 540, 513, 1875, 20675, 25757, 9441, 945, 814, 849, 711, 1044, 7900, 547, 3044, 269, 901, 1223, 2179, 547, 1463, 7130, 1317, 540, 4008, 15260, 9892, 267, 1303, 527, 1782, 519, 25323, 9441, 547, 3142, 513, 3409, 547, 519, 25477, 17650, 26915, 563, 2026, 7074, 1657, 606, 1367, 1223, 849, 1265, 2933, 1641, 547, 18275, 269, 4498, 14536, 4386, 950, 513, 1268, 22851, 538, 13311, 2932, 799, 568, 1644, 547, 513, 4143, 6870, 8984, 630, 328, 4318, 269, 4638, 10066, 264, 543, 799, 814, 519, 3483, 610, 519, 1198, 540, 3423, 908, 741, 15683, 610, 2870, 606, 25254, 267, 20935, 267, 9714, 532, 267, 1208, 8270, 908, 610, 18086, 1604, 585, 602, 1367, 563, 763, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 2488, 519, 1739, 1383, 912, 288, 11832, 568, 16271, 547, 4630, 2684, 11131, 7333, 614, 543, 2012, 10912, 267, 1256, 1498, 1010, 9164, 917, 646, 568, 711, 14447, 269, 5221, 519, 1106, 540, 519, 6057, 12211, 547, 4638, 10066, 267, 713, 1223, 2179, 547, 18275, 1644, 547, 4638, 10066, 563, 763, 25734, 2920, 849, 14014, 2043, 689, 1373, 6408, 2213, 1317, 789, 723, 585, 1383, 9783, 513, 10645, 896, 519, 25734, 2920, 267, 1500, 606, 14336, 566, 602, 1776, 1268, 814, 2944, 1945, 538, 21556, 540, 519, 25734, 2920, 610, 2016, 2963, 610, 1344, 538, 4276, 609, 18659, 896, 519, 25734, 2920, 563, 2690, 1383, 267, 952, 606, 9441, 2306, 513, 24255, 540, 7130, 593, 12406, 540, 4638, 10066, 1996, 741, 16108, 543, 607, 513, 1267, 789, 616, 17792, 513, 13319, 269, 634, 5821, 547, 3489, 13319, 1131, 581, 606, 957, 540, 6408, 5314, 543, 519, 9441, 1223, 1491, 3656, 2962, 1996, 741, 16108, 693, 519, 25477, 17650, 26915, 563, 6097, 547, 519, 25477, 17650, 684, 1023, 5767, 10116, 569, 7194, 630, 20809, 476, 1001, 280, 1107, 5181, 476, 1001, 280, 1070, 476, 14530, 6811, 585, 7130, 12406, 540, 4638, 10066, 941, 19429, 269, 901, 568, 519, 5207, 4137, 2094, 476, 1001, 274, 563, 1103, 519, 7694, 2361, 267, 1312, 12820, 543, 2043, 666, 1265, 2933, 1373, 22002, 676, 513, 11832, 585, 7130, 267, 18275, 610, 6408, 5314, 269, 14146, 619, 1058, 1118, 2386, 602, 789, 723, 606, 26321, 19662, 8889, 267, 602, 519, 3609, 568, 4553, 543, 602, 782, 5234, 616, 18056, 827, 519, 3609, 593, 513, 2834, 4493, 543, 602, 1022, 21556, 540, 1482, 13054, 30095, 2962, 563, 11073, 2515, 540, 519, 7694, 2361, 267, 1346, 945, 1265, 2933, 1641, 547, 7130, 267, 18275, 540, 6408, 5314, 666, 3343, 2699, 816, 3842, 519, 6019, 7040, 563, 5415, 1344, 2252, 596, 616, 606, 1367, 610, 513, 2754, 543, 596, 6999, 547, 3489, 5796, 593, 519, 25734, 2920, 476, 1001, 271, 267, 707, 2924, 267, 13800, 3092, 1421, 1287, 5225, 798, 711, 19292, 547, 3346, 721, 538, 6015, 269, 901, 2376, 729, 2854, 676, 5981, 13428, 576, 267, 18947, 21133, 538, 519, 25477, 4521, 12243, 693, 18237, 2284, 570, 2788, 712, 323, 700, 10861, 269, 634, 9115, 540, 713, 2376, 616, 585, 519, 5301, 540, 2489, 4656, 1152, 269, 1358, 798, 711, 1625, 1636, 547, 13822, 3656, 610, 3318, 5796, 269, 16930, 3656, 5796, 1058, 581, 3144, 593, 1142, 1367, 2339, 269, 901, 2376, 568, 1759, 593, 519, 1876, 607, 540, 5988, 476, 1708, 271, 269, 0, 1692, 1677, 24953, 5455, 6969, 26121, 2443, 476, 276, 18826, 13705, 710, 454, 6524, 4881, 267, 946, 6422, 15198, 547, 19334, 707, 10549, 543, 6091, 269, 3680, 11979, 15198, 282, 621, 666, 2014, 7063, 543, 1118, 596, 2196, 14887, 563, 9359, 707 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2291, 2496, 273, 264, 1280, 1142, 540, 891, 2418, 3313, 519, 4399, 3916, 315, 3916, 1080, 3709, 343, 29540, 513, 348, 535, 3287, 22491, 8894, 7312, 1101, 2243, 3085, 1405, 1118, 1022, 2631, 269, 7490, 2491, 2417, 269, 1107, 1109, 293, 569, 676, 13957, 4119, 476, 2420, 1412, 1724, 693, 476, 1724, 281, 1789, 454, 296, 3773, 930, 3063, 9623, 7711, 293, 569, 2421, 301, 697, 1107, 1109, 294, 327, 9926, 339, 4119, 476, 2420, 1412, 1724, 693, 476, 1724, 281, 4097, 692, 28733, 569, 267, 952, 1269, 347, 343, 347, 3436, 476, 272, 8961, 649, 723, 692, 2330, 343, 3867, 273, 348, 1422, 19008, 535, 3287, 264, 1422, 19008, 1535, 3867, 275, 15732, 663, 2094, 1269, 343, 3867, 273, 4151, 543, 1269, 343, 3867, 275, 4151, 1312, 979, 547, 20581, 267, 865, 1281, 1269, 325, 3287, 7751, 780, 2252, 1269, 347, 343, 347, 1422, 19008, 476, 272, 8961, 1287, 692, 2330, 343, 3867, 275, 348, 1422, 19008, 535, 3287, 264, 1422, 19008, 1535, 3867, 273, 15732, 2252, 1269, 347, 343, 347, 815, 476, 272, 8961, 1287, 1269, 343, 3867, 273, 348, 815, 1535, 3867, 275, 348, 815, 476, 272, 259, 543, 8754, 1269, 325, 3287, 264, 815, 476, 272, 16859, 2252, 1269, 347, 343, 347, 2999, 476, 272, 8961, 1287, 1269, 343, 3867, 275, 4151, 543, 1269, 343, 3867, 273, 4151, 1312, 979, 547, 4642, 543, 8754, 865, 1281, 1269, 325, 3287, 7751, 780, 17798, 267, 547, 17412, 10484, 11377, 3916, 315, 3916, 1080, 3709, 347, 343, 24689, 1729, 1422, 13727, 348, 325, 3287, 264, 815, 1422, 13727, 9681, 11377, 3916, 315, 3916, 1080, 3709, 347, 343, 347, 1422, 1729, 476, 271, 348, 535, 3287, 264, 815, 476, 271, 9681, 11377, 3916, 315, 3916, 1080, 3709, 347, 343, 347, 1422, 1729, 476, 272, 348, 325, 3287, 264, 815, 476, 272, 9681, 2690, 824, 2798, 267, 519, 1344, 2016, 568, 711, 6190, 547, 17589, 952, 1269, 325, 259, 814, 513, 3970, 780, 8894, 2005, 2731, 2306, 2631, 1631, 267, 9684, 596, 269, 1107, 1109, 294, 327, 9926, 339, 4119, 476, 2420, 1412, 1724, 693, 476, 1724, 281, 4366, 0, 258, 16387, 692, 288, 4009, 18158, 814, 513, 2627, 1858, 540, 476, 11260, 4009, 6279, 269, 634, 4009, 3490, 814, 2427, 13080, 540, 476, 276, 6279, 269, 4855, 519, 1793, 656, 4463, 540, 519, 18158, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 16318, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 14581, 692, 272, 264, 9717, 519, 2427, 540, 513, 4009, 18158, 568, 476, 277, 9492, 543, 519, 15820, 568, 476, 275, 9492, 5173, 519, 2627, 1858, 269, 476, 273, 264, 9717, 519, 2427, 540, 513, 4009, 18158, 568, 476, 1321, 9492, 543, 519, 15820, 568, 476, 279, 9492, 5173, 519, 2627, 1858, 269, 476, 274, 264, 9717, 519, 2427, 540, 513, 4009, 692, 24216, 676, 9906, 593, 5988, 476, 277, 267, 476, 1220, 278, 454, 273, 269, 12693, 4569, 692, 763, 13675, 10689, 547, 519, 7200, 341, 516, 7467, 538, 8303, 568, 513, 4837, 543, 4496, 18158, 609, 513, 2627, 1858, 540, 5111, 476, 2735, 271, 4009, 593, 1142, 2427, 1547, 634, 3490, 540, 519, 18158, 568, 513, 4009, 602, 568, 476, 3374, 269, 275, 7397, 593, 1142, 2427, 269, 1548, 568, 519, 1793, 656, 692, 24216, 676, 7585, 593, 4989, 476, 273, 267, 476, 1001, 275, 454, 274, 269, 12693, 13878, 295, 670, 5085, 303, 692, 763, 2427, 540, 513, 4009, 568, 8422, 6659, 547, 519, 2947, 30556, 1379, 6279, 269, 4635, 519, 1858, 4542, 589, 815, 521, 273, 267, 3313, 519, 1858, 540, 519, 4009, 269, 901, 568, 519, 2427, 540, 519, 4009, 538, 6824, 263, 274, 317, 276, 270, 273, 264, 589, 815, 476, 280, 4009, 6279, 589, 815, 476, 1428, 4009, 6279, 589, 25883, 24216, 676, 30546, 593, 5412, 476, 1704, 267, 476, 1001, 276, 454, 275, 269, 12693, 2979, 692, 288, 959, 15635, 730, 4009, 18158, 630, 10193, 1634, 607, 513, 2927, 560, 636, 264, 568, 606, 1843, 5833, 676, 5969, 513, 4009, 18158, 676, 513, 7077, 6252, 547, 922, 3490, 630, 553, 3254, 538, 519, 4137, 1040, 1280, 513, 959, 15635, 730, 4009, 18158, 621, 568, 1634, 602, 519, 2427, 3259, 540, 692, 24216, 676, 606, 328, 593, 5988, 476, 2420, 267, 476, 1001, 276, 454, 276, 269, 12693, 16387, 692, 2691, 4466, 519, 2627, 1858, 540, 513, 12432, 4137, 267, 799, 538, 713, 2013, 5161, 540, 513, 4009, 18158, 9361, 593, 1283, 540, 513, 13306, 267, 594, 917, 602, 519, 1101, 1900, 568, 547, 1265, 519, 2627, 1858, 540, 519, 13306, 267, 855, 1310, 602, 594, 1131, 1265, 519, 692, 24216, 676, 32088, 593, 4873, 476, 1724, 267, 476, 1001, 273, 454, 277, 269, 12693, 9978, 4569, 692, 306, 16577, 1858, 540, 513, 4009, 18158, 476, 1556, 514, 476, 1724, 514, 543, 476, 280, 514, 476, 1556, 4463, 476, 1724, 2427, 286, 476, 280, 3490, 6316, 594, 1832, 3478, 519, 4636, 2626, 922, 711, 476, 29044, 269, 7830, 610, 476, 29848, 269, 11152, 12384, 1858, 540, 513, 13409, 476, 1428, 2427, 286, 476, 1321, 4463, 476, 277, 3490, 898, 781, 711, 476, 18458, 269, 4200, 610, 476, 275, 1704, 269, 7830, 594, 1810, 1405, 991, 692, 24216, 676, 22123, 593, 4728, 476, 1704, 267, 476, 1001, 278, 454, 278, 269, 12693, 2979, 692, 763, 2627, 1858, 540, 519, 4279, 30958, 693, 717, 21289, 729, 827, 476, 272, 267, 5392, 277, 267, 280, 3199, 4009, 3952, 950, 621, 729, 3710, 269, 589, 2203, 540, 713, 18158, 814, 513, 2627, 1858, 540, 476, 276, 4200, 4009, 6279, 269, 1018, 568, 519, 4336, 3815, 689, 519, 2203, 547, 519, 4890, 18158, 2496, 24216, 676, 32088, 593, 4728, 476, 2190, 267, 476, 1001, 274, 454, 279, 269, 12693, 2979, 692, 331, 8504, 693, 513, 4009, 18158, 267, 952, 519, 2450, 540, 519, 3490, 3788, 519, 1482, 543, 519, 4463, 540, 519, 18158, 9775, 1018, 616, 519, 5934, 2627, 1858, 543, 5934, 4320, 519, 18158, 666, 723, 286, 634, 3490, 568, 6029, 476, 273, 538, 543, 519, 1899, 593, 519, 692, 24216, 676, 544, 593, 5130, 476, 276, 267, 476, 1001, 272, 454, 280, 269, 12693, 13174, 692, 288, 4009, 24388, 543, 4009, 18158, 723, 519, 1482, 3490, 543, 519, 1482, 2627, 1858, 269, 8058, 602, 519, 1793, 656, 4463, 267, 561, 267, 540, 519, 18158, 568, 561, 284, 276, 270, 273, 1535, 521, 1141, 521, 568, 519, 3259, 540, 519, 3490, 780, 24216, 676, 29593, 1066, 593, 2904, 476, 279, 267, 476, 1001, 278, 454, 1015, 269, 12693, 16387, 692, 272, 1215, 1082, 8188, 1281, 513, 4009, 18158, 723, 286, 476, 273, 1215, 1082, 8728, 1281, 513, 4009, 18158, 723, 286, 476, 274, 1215, 1082, 14622, 1281, 513, 4009, 18158, 723, 286, 2626, 286, 476, 279, 267, 476, 276, 267, 476, 1015, 22870, 783, 1125, 835, 540, 519, 1390, 26829, 540, 5527, 269, 898, 781, 3490, 568, 513, 4009, 543, 621, 692, 24216, 676, 570, 2077, 320, 593, 4728, 476, 1724, 267, 476, 1220, 278, 692, 5415, 5381, 5999 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 7170, 281, 2878, 18693, 665, 520, 3315, 7370, 281, 8111, 12516, 525, 538, 3776, 28064, 22032, 256, 4373, 5970, 596, 2479, 9289, 875, 707, 5172, 10217, 13863, 12897, 616, 1500, 286, 2107, 875, 827, 602, 18241, 4418, 1846, 327, 7398, 596, 2648, 9849, 593, 669, 11035, 2395, 286, 5617, 10079, 621, 610, 711, 267, 972, 781, 513, 4241, 1158, 3330, 891, 4948, 3688, 1572, 2608, 6798, 665, 520, 3315, 7370, 265, 910, 6263, 948, 619, 6508, 689, 2713, 7103, 899, 4551, 267, 13803, 267, 543, 2371, 256, 1452, 27568, 1404, 513, 2629, 1909, 538, 2870, 1919, 649, 946, 3232, 1247, 849, 4543, 1832, 938, 1604, 2973, 543, 2635, 269, 2913, 781, 4685, 883, 741, 9735, 7122, 2439, 5331, 1373, 2111, 547, 1711, 8949, 12897, 1210, 1175, 7912, 267, 4006, 267, 5798, 267, 543, 9059, 8141, 956, 3079, 540, 7423, 269, 16319, 7543, 267, 1318, 286, 1809, 7227, 256, 2060, 519, 1379, 540, 1979, 665, 520, 3315, 7370, 267, 11476, 630, 6518, 616, 2027, 2010, 540, 1979, 665, 520, 3315, 7370, 1070, 666, 2490, 10448, 11041, 883, 6878, 2147, 547, 7423, 269, 901, 1259, 267, 649, 1810, 1405, 991, 4890, 7423, 267, 1818, 938, 12897, 8902, 543, 811, 4264, 269, 1215, 3579, 568, 602, 2496, 3086, 1577, 781, 1589, 827, 707, 635, 325, 344, 4418, 1846, 327, 7398, 269, 9894, 596, 917, 930, 1979, 665, 520, 3315, 7370, 666, 3132, 2571, 267, 3636, 17234, 856, 540, 7791, 2200, 971, 607, 8970, 560, 1105, 610, 824, 2030, 2326, 286, 3502, 1152, 1281, 713, 1184, 4688, 1648, 3379, 547, 2757, 2409, 267, 855, 621, 849, 6971, 3653, 543, 8511, 3154, 5434, 269, 2334, 1797, 7864, 8093, 10173, 14616, 543, 1447, 5533, 538, 938, 2011, 543, 1216, 269, 30474, 5863, 267, 26001, 2496, 3719, 1018, 4010, 616, 1979, 665, 520, 3315, 7370, 267, 543, 1946, 798, 789, 3180, 865, 1454, 1761, 286, 4270, 267, 3274, 2322, 267, 1979, 665, 520, 3315, 7370, 616, 6675, 1336, 538, 782, 2713, 7919, 602, 3432, 909, 3114, 6547, 269, 1358, 960, 13974, 547, 875, 27857, 1599, 538, 6517, 282, 1312, 2569, 5739, 676, 335, 20094, 543, 2333, 4398, 269, 1635, 13147, 10107, 610, 7393, 2067, 3157, 998, 2029, 543, 4702, 267, 3744, 543, 8030, 1020, 1007, 2081, 547, 8415, 1979, 665, 520, 3315, 7370, 538, 1585, 6080, 780, 3080, 1880, 1858, 1141, 1979, 665, 520, 3315, 7370, 19542, 568, 538, 4915, 269, 5994, 2348, 513, 10138, 602, 3085, 1405, 12115, 5265, 1813, 547, 3968, 269, 12207, 616, 3384, 6512, 1137, 11251, 609, 16887, 2966, 1979, 665, 520, 3315, 7370, 602, 5305, 7067, 8069, 950, 25884, 9190, 6937, 269, 901, 5647, 1223, 2061, 8374, 3361, 676, 5563, 543, 3895, 5488, 6051, 780, 11101, 267, 3173, 1353, 875, 1978, 1979, 665, 520, 3315, 7370, 2170, 609, 1808, 7135, 1369, 2281, 267, 17935, 547, 2087, 3075, 2504, 2553, 269, 3414, 1732, 1620, 543, 22392, 891, 4205, 267, 2564, 4648, 949, 835, 1554, 21160, 6527, 4481, 14018, 547, 1367, 2550, 262, 2115, 1765, 516, 23728, 1944, 3782, 2439, 3383, 1985, 942, 596, 2972, 1346, 17705, 12897, 610, 5957, 707, 5172, 4418, 1846, 327, 7398, 267, 3314, 519, 6909, 9910, 2261, 12069, 693, 960, 3297, 519, 10207, 281, 1979, 665, 520, 3315, 7370, 256, 5808, 6785, 1945, 865, 1507, 1223, 3640, 971, 513, 3532, 24362, 585, 938, 2729, 267, 938, 4541, 267, 543, 1256, 3564, 2470, 781, 6302, 286, 5901, 3695, 267, 543, 945, 6487, 1018, 3116, 649, 1522, 3605, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26607, 11888, 267, 5181, 476, 275, 454, 8110, 331, 7322, 8065, 476, 14530, 1700, 29423, 3218, 1756, 454, 274, 1107, 476, 275, 533, 6230, 563, 297, 517, 11936, 590, 269, 667, 867, 1157, 267, 1912, 6185, 563, 23178, 540, 11906, 543, 18143, 7177, 267, 4437, 32441, 7177, 543, 18143, 7070, 454, 22492, 20180, 528, 547, 519, 5518, 585, 21864, 9024, 328, 2510, 267, 4741, 585, 30911, 1299, 3955, 13694, 5525, 454, 305, 839, 1088, 320, 518, 12443, 23855, 545, 4659, 454, 2108, 17954, 1136, 589, 3118, 689, 7186, 779, 21940, 2456, 4635, 4437, 10999, 15765, 15089, 24899, 1842, 2572, 538, 6925, 543, 15332, 7536, 26903, 568, 26080, 538, 922, 7293, 543, 6198, 4763, 269, 769, 1082, 2665, 267, 2470, 814, 3177, 721, 609, 513, 29685, 547, 7753, 10616, 538, 938, 9354, 19070, 531, 269, 1284, 723, 3144, 10291, 689, 2470, 547, 1374, 1979, 5328, 268, 629, 8438, 32234, 609, 2189, 7293, 543, 6198, 3601, 269, 769, 713, 2911, 22189, 590, 269, 667, 867, 1157, 786, 5031, 938, 2487, 3646, 547, 1174, 2417, 519, 8818, 540, 7350, 609, 29113, 543, 1445, 713, 8818, 593, 6061, 1883, 2042, 538, 4915, 543, 938, 1455, 5989, 269, 1284, 723, 20114, 2189, 3601, 540, 6289, 558, 1468, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18693, 665, 520, 4519, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11906, 1299, 4437, 12950, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 29842, 534, 32588, 4521, 281, 589, 7690, 540, 5375, 13751, 28673, 692, 296, 269, 4985, 692, 2026, 596, 2490, 519, 3817, 540, 707, 1686, 2835, 267, 596, 1522, 1419, 2097, 2066, 8100, 547, 519, 1764, 540, 4984, 593, 1585, 18125, 540, 1480, 2486, 269, 2290, 971, 11972, 3310, 666, 581, 14360, 1394, 547, 519, 29842, 534, 4004, 542, 267, 513, 5001, 7681, 540, 13039, 16030, 519, 5783, 540, 4789, 543, 922, 2404, 1019, 665, 525, 525, 267, 16899, 267, 543, 6237, 3889, 2429, 519, 1158, 269, 2311, 922, 4295, 6013, 29842, 534, 32588, 4521, 267, 513, 3656, 5943, 7184, 954, 342, 8576, 609, 519, 8739, 27791, 5958, 540, 2296, 18702, 2477, 267, 1519, 5245, 269, 901, 3184, 12538, 883, 519, 14960, 540, 29842, 534, 32588, 4521, 267, 19286, 908, 875, 922, 3741, 3136, 547, 3337, 2413, 10883, 1440, 28619, 1369, 513, 6626, 2796, 540, 3909, 22624, 543, 6848, 2418, 780, 2862, 269, 8466, 4886, 540, 29842, 534, 32588, 4521, 692, 2414, 10146, 519, 10848, 7915, 538, 29842, 534, 32588, 4521, 267, 835, 1590, 1101, 5660, 519, 3140, 2113, 24586, 689, 799, 621, 7153, 269, 769, 476, 1626, 628, 2540, 4789, 267, 3751, 8361, 24163, 8179, 547, 3045, 592, 1010, 7365, 547, 21965, 540, 589, 16400, 1813, 547, 1200, 5821, 547, 3132, 513, 5256, 25752, 269, 1879, 15352, 595, 2211, 23446, 15189, 547, 9886, 606, 3045, 592, 618, 267, 8361, 1219, 1221, 7507, 781, 6392, 543, 3964, 519, 5783, 540, 4789, 630, 528, 29842, 534, 5783, 264, 538, 476, 14631, 275, 267, 3976, 22338, 519, 1259, 585, 513, 3982, 569, 2296, 19862, 540, 3235, 27036, 20292, 10350, 910, 29842, 534, 32588, 4521, 780, 7656, 269, 634, 28249, 540, 18321, 543, 17217, 692, 4263, 519, 2295, 540, 29842, 534, 32588, 4521, 6013, 519, 1623, 25027, 2078, 1063, 5132, 543, 2601, 269, 9521, 824, 4168, 29559, 6825, 676, 7453, 15984, 547, 2915, 15122, 28975, 267, 29842, 22675, 7512, 7214, 7279, 543, 11826, 6514, 540, 11705, 337, 1400, 2152, 269, 9182, 267, 29842, 534, 32588, 4521, 24151, 513, 2189, 11100, 540, 10143, 13414, 543, 7787, 14374, 267, 5807, 513, 8465, 2943, 7347, 3656, 2497, 17841, 547, 4657, 1514, 6381, 1247, 6967, 512, 9220, 1042, 547, 13654, 5289, 840, 32383, 780, 4353, 269, 12856, 543, 17796, 540, 29842, 534, 32588, 4521, 692, 763, 24402, 540, 29842, 534, 32588, 4521, 5097, 5161, 540, 2185, 2609, 281, 1775, 264, 10513, 23075, 282, 13797, 264, 519, 10752, 540, 519, 3504, 12429, 338, 543, 6076, 15078, 540, 519, 3768, 22866, 7826, 5783, 282, 25831, 264, 519, 3883, 540, 5871, 27302, 282, 543, 17488, 264, 22265, 6898, 9783, 676, 519, 31967, 538, 5348, 617, 673, 19771, 1634, 607, 30340, 996, 4762, 3720, 269, 1452, 2959, 1071, 2297, 576, 547, 1711, 513, 3638, 13795, 540, 3656, 3741, 30343, 29842, 534, 1135, 640, 267, 10847, 267, 543, 9015, 780, 309, 269, 5940, 3307, 17972, 540, 29842, 534, 32588, 4521, 692, 15703, 10058, 2934, 1305, 29842, 534, 32588, 4521, 6306, 689, 824, 3656, 1949, 267, 3226, 538, 6935, 547, 3235, 27036, 20292, 10350, 269, 3689, 267, 621, 13333, 593, 513, 598, 4290, 3511, 2203, 267, 10771, 3838, 3375, 6194, 1851, 23464, 543, 3288, 640, 7567, 269, 5822, 267, 7429, 4936, 7826, 17374, 1876, 267, 29842, 534, 32588, 4521, 1281, 711, 4865, 513, 21438, 21712, 17102, 267, 3850, 1367, 16899, 9645, 13190, 538, 6927, 17640, 547, 14985, 267, 1396, 21395, 267, 543, 7245, 269, 14936, 267, 29842, 534, 32588, 4521, 5088, 806, 513, 811, 8537, 1935, 2509, 29926, 543, 12683, 1143, 267, 28498, 3309, 5380, 1369, 922, 16034, 3177, 789, 5447, 609, 17618, 7608, 24396, 6724, 780, 9654, 269, 12634, 19043, 543, 12694, 692, 1103, 4207, 11407, 4478, 3909, 5191, 267, 29842, 534, 32588, 4521, 3091, 3407, 4030, 3823, 519, 10347, 3666, 1063, 3235, 3380, 658, 1582, 24148, 543, 1533, 7939, 269, 1635, 30176, 4295, 11180, 3741, 971, 607, 9668, 540, 7060, 267, 7862, 1354, 519, 1876, 267, 543, 4027, 540, 12102, 2924, 267, 29842, 534, 32588, 4521, 5713, 607, 1312, 513, 4439, 342, 1046, 1996, 2101, 9107, 1958, 549, 16670, 2390, 10723, 5624, 543, 513, 6174, 585, 5009, 18523, 21644, 5812, 609, 7225, 324, 334, 268, 22146, 7881, 269, 1717, 267, 891, 6859, 616, 711, 1510, 2591, 267, 2523, 2016, 2810, 16712, 1436, 543, 7390, 656, 7569, 585, 3152, 22098, 540, 1875, 13652, 6463, 3661, 1949, 780, 23997, 269, 8865, 5530, 281, 23893, 4149, 1410, 25141, 13891, 622, 538, 519, 29842, 534, 4004, 542, 692, 288, 8903, 2013, 1353, 3879, 13577, 540, 891, 6384, 3322, 519, 5571, 7521, 1369, 519, 29842, 534, 4004, 542, 7282, 1482, 20967, 7365, 269, 2755, 930, 16899, 899, 519, 9210, 4593, 29914, 5783, 7330, 723, 17947, 2407, 10014, 540, 11806, 266, 2043, 267, 1866, 2226, 2757, 8847, 540, 1319, 3234, 3415, 12082, 538, 10636, 18400, 9769, 269, 901, 791, 21692, 12651, 7096, 2055, 827, 519, 7182, 540, 11705, 337, 1400, 4763, 1471, 268, 14504, 23724, 18497, 9322, 267, 25967, 1681, 519, 991, 585, 4797, 5188, 543, 19908, 10838, 8639, 8149, 547, 8497, 519, 8699, 540, 29842, 534, 32588, 4521, 9624, 13346, 2686, 544, 2803, 780, 309, 7656, 269, 10390, 692, 1607, 3184, 814, 25139, 1883, 3344, 540, 29842, 534, 32588, 4521, 267, 17766, 1769, 593, 922, 3140, 1646, 267, 13057, 10952, 26336, 267, 7293, 3334, 267, 543, 4207, 10083, 269, 3414, 2565, 6278, 609, 713, 1570, 267, 1053, 1796, 547, 2744, 4514, 7071, 585, 519, 15491, 1909, 5129, 676, 4984, 538, 5935, 3540, 7239, 267, 11121, 8086, 593, 15851, 4798, 540, 5126, 267, 23502, 267, 543, 8296, 1898, 585, 14237, 5483, 15114, 538, 2221, 781, 5051, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5978, 2296, 6561, 8209, 13315, 1454, 602, 1082, 540, 721, 1491, 585, 11292, 267, 1519, 1893, 267, 3332, 267, 2528, 543, 6138, 269, 1280, 1346, 540, 721, 711, 540, 2296, 6006, 267, 2705, 267, 971, 513, 6561, 949, 581, 540, 30940, 4644, 269, 8616, 972, 616, 3344, 540, 519, 6561, 799, 23366, 723, 606, 3507, 762, 4644, 585, 1169, 12504, 543, 17055, 540, 5245, 269, 12751, 1851, 1346, 568, 519, 1062, 540, 1876, 543, 2229, 269, 898, 568, 519, 3483, 540, 713, 2376, 547, 6542, 602, 267, 1498, 711, 796, 518, 2590, 263, 272, 1070, 713, 1062, 568, 19347, 543, 16138, 1639, 676, 513, 4168, 2245, 563, 2171, 949, 1491, 607, 938, 5182, 1782, 1448, 519, 4341, 540, 1876, 267, 799, 814, 1044, 3989, 263, 273, 264, 607, 2495, 602, 519, 3635, 540, 7060, 540, 2229, 4927, 581, 31411, 676, 1876, 543, 602, 519, 1641, 4927, 711, 581, 6534, 547, 519, 17062, 786, 540, 519, 14610, 269, 1306, 9450, 676, 519, 1390, 13338, 626, 7905, 589, 17679, 269, 667, 823, 344, 263, 274, 1070, 621, 1797, 834, 1492, 6207, 29686, 610, 2392, 7631, 766, 540, 2834, 1876, 607, 10353, 547, 519, 3310, 540, 17062, 1379, 267, 543, 608, 11079, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 486, 21382, 355, 421, 360, 498, 31271, 361, 26233, 356, 454, 325, 272, 269, 13449, 3890, 567, 1948, 417, 495, 376, 9463, 360, 21382, 355, 421, 360, 498, 25913, 25622, 454, 11907, 284, 325, 272, 18667, 3890, 476, 1948, 417, 495, 376, 9463, 360, 21382, 355, 421, 360, 498, 25913, 25622, 454, 2745, 16597, 2020, 258, 18777, 478, 9463, 500, 21588, 361, 11590, 490, 22390, 489, 418, 359, 498, 418, 350, 486, 454, 325, 273, 284, 12803, 2891, 11907, 318, 275, 17902, 5602, 325, 273, 269, 13449, 4590, 11907, 284, 325, 273, 18667, 4590, 2745, 16597, 264, 0, 258, 590, 5902, 5569, 1505, 454, 12849, 23952, 815, 3403, 2891, 24876, 803, 16764, 781, 4408, 267, 9674, 676, 513, 26893, 269, 19515, 12849, 815, 4408, 23952, 21858, 263, 2580, 19515, 258, 9462, 504, 357, 5213, 1405, 1689, 519, 3009, 1657, 26461, 484, 692, 258, 2237, 707, 3009, 2630, 713, 1899, 26461, 485, 454, 258, 3733, 3801, 693, 713, 4161, 910, 594, 3494, 621, 6104, 8460, 519, 1482, 607, 519, 3070, 454, 258, 1104, 4351, 454, 258, 4351, 11075, 28984, 3799, 1868, 994, 258, 1820, 6600, 257, 346, 12849, 314, 271, 316, 9574, 596, 1590, 2628, 519, 3915, 10590, 2020, 258, 8827, 607, 7396, 676, 1576, 454, 5814, 4351, 454, 258, 7476, 519, 2698, 1297, 540, 3688, 538, 519, 1592, 563, 11133, 318, 19477, 815, 7003, 3799, 1868, 994, 258, 7049, 4733, 4351, 2338, 1063, 476, 271, 543, 519, 2063, 4994, 563, 12690, 15220, 4069, 815, 4351, 27110, 263, 271, 267, 1003, 318, 19477, 910, 272, 994, 258, 303, 1157, 856, 4351, 1268, 689, 1592, 540, 4408, 1210, 519, 4351, 1297, 563, 17367, 318, 15367, 318, 15884, 7272, 599, 815, 4408, 314, 12690, 15220, 4069, 6540, 2745, 9638, 3205, 318, 15367, 318, 15884, 7272, 599, 1341, 834, 568, 2469, 547, 4444, 519, 7594, 2221, 256, 8442, 0, 2745, 2891, 8702, 547, 519, 16945, 1723, 2120, 32405, 19417, 815, 703, 9272, 2891, 1432, 568, 707, 4463, 538, 4699, 286, 27328, 258, 952, 270, 12828, 454, 258, 567, 952, 2783, 912, 258, 11434, 798, 713, 454, 258, 567, 3116, 912, 258, 11434, 798, 713, 692, 604, 4463, 3436, 476, 6344, 912, 825, 1820, 2891, 4692, 11878, 256, 2433, 291, 5602, 12828, 912, 825, 1820, 2891, 4692, 1405, 11878, 269, 2433, 2891, 2020, 0, 327, 815, 10581, 9272, 2891, 11767, 519, 4463, 540, 21121, 281, 8442, 3418, 321, 815, 10581, 9272, 2891, 11767, 519, 3490, 3259, 540, 21121, 281, 8442, 10142, 19327, 815, 476, 271, 269, 276, 2608, 554, 2608, 536, 1477, 2745, 2891, 22704, 540, 519, 21121, 568, 24333, 1858, 264, 0, 16344, 17575, 815, 834, 2102, 516, 4840, 12803, 815, 1930, 6600, 32327, 994, 323, 815, 31460, 1721, 4737, 538, 3758, 912, 825, 9135, 267, 7260, 8217, 815, 4737, 21858, 19629, 339, 5602, 825, 7260, 8217, 815, 7260, 8217, 18622, 2897, 3488, 257, 3299, 834, 262, 5602, 825, 7260, 8217, 815, 7260, 8217, 314, 273, 281, 910, 274, 2639, 825, 7260, 8217, 815, 7260, 8217, 454, 825, 546, 314, 2102, 516, 316, 815, 7260, 8217, 692, 258, 325, 2863, 542, 540, 6730, 454, 3698, 543, 318, 28072, 3287, 11971, 2187, 825, 585, 9598, 318, 2102, 516, 538, 546, 912, 1038, 952, 1535, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 272, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 1038, 952, 586, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 273, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 825, 1820, 630, 326, 272, 269, 5793, 7611, 14116, 273, 264, 9239, 3698, 610, 318, 28072, 3287, 11971, 2187, 825, 585, 9598, 318, 2102, 516, 538, 546, 912, 1038, 952, 1535, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 272, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 1038, 952, 586, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 273, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 825, 1820, 630, 326, 272, 26509, 542, 14116, 273, 264, 9239, 3698, 1292, 10031, 825, 13214, 815, 3403, 2891, 11767, 519, 2637, 516, 281, 19515, 825, 13214, 815, 13214, 21858, 3488, 30386, 825, 6474, 815, 8771, 692, 825, 952, 7003, 263, 638, 2044, 264, 2652, 476, 272, 912, 1038, 585, 9135, 538, 546, 912, 2018, 952, 13214, 314, 271, 4940, 12294, 3890, 538, 9135, 31573, 10031, 3546, 1820, 630, 2102, 516, 1341, 834, 814, 7260, 281, 834, 1341, 546, 314, 2102, 516, 316, 12467, 3546, 6474, 815, 6936, 454, 825, 3116, 912, 1038, 952, 13214, 314, 272, 4940, 12294, 3890, 2652, 834, 663, 13426, 2018, 543, 318, 28072, 263, 638, 2044, 314, 271, 3910, 13214, 314, 273, 7481, 2018, 6474, 815, 6936, 454, 1038, 8640, 13214, 314, 272, 4940, 12294, 2652, 834, 528, 13426, 2018, 610, 318, 28072, 263, 638, 2044, 314, 271, 3910, 13214, 314, 273, 7481, 2018, 6474, 815, 6936, 692, 825, 952, 711, 6474, 912, 1038, 1820, 2891, 5591, 1344, 540, 834, 25589, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 5814, 23094, 454, 5814, 15259, 267, 19523, 454, 5814, 2415, 27785, 454, 22322, 3698, 11571, 318, 7964, 10031, 476, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 1607, 5124, 7097, 2132, 952, 513, 9138, 2823, 568, 1930, 610, 711, 593, 513, 9138, 3684, 5073, 476, 16163, 518, 14491, 318, 30348, 3488, 268, 320, 3299, 1412, 734, 5417, 816, 3299, 2838, 18989, 267, 948, 8782, 763, 28258, 2232, 540, 519, 6552, 3684, 547, 11571, 5073, 476, 16163, 518, 14491, 318, 30348, 3488, 268, 335, 3299, 1412, 734, 1636, 3299, 2838, 18989, 267, 948, 8782, 763, 2823, 593, 519, 6552, 3684, 30386, 476, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 476, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 276, 912, 567, 521, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 994, 567, 2119, 912, 8587, 521, 269, 6618, 9230, 16911, 14491, 816, 267, 703, 263, 16911, 269, 1636, 21875, 8587, 521, 11075, 583, 6658, 263, 273, 994, 8587, 1820, 834, 1636, 4939, 338, 568, 1930, 257, 4939, 16911, 269, 1636, 454, 567, 4849, 912, 8587, 1820, 834, 1636, 4939, 338, 568, 711, 1930, 257, 4939, 16911, 269, 1636, 454, 476, 3116, 912, 567, 1820, 834, 9767, 1058, 4283, 4010, 1079, 7440, 4840, 567, 16163, 518, 31428, 318, 15276, 4590, 567, 1820, 834, 6781, 15659, 10371, 4799, 3698, 1292, 10031, 11571, 318, 7964, 4590, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 1292, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5002, 274, 267, 1744, 4275, 330, 11867, 8120, 547, 4971, 519, 594, 297, 288, 476, 2641, 560, 32691, 31118, 1282, 519, 15570, 810, 11219, 17702, 2782, 269, 4438, 519, 2112, 267, 646, 729, 15469, 547, 1831, 12751, 540, 16065, 540, 519, 594, 297, 288, 476, 1724, 628, 10406, 269, 1744, 4275, 330, 11867, 2968, 513, 9114, 23133, 3935, 601, 538, 476, 5002, 278, 267, 3935, 601, 538, 476, 5002, 280, 267, 543, 19524, 540, 519, 594, 297, 288, 476, 4097, 628, 32691, 31118, 563, 7628, 2622, 2782, 594, 267, 1744, 4275, 330, 11867, 729, 19524, 540, 519, 594, 297, 288, 476, 280, 628, 32691, 23394, 1228, 269, 1261, 6039, 607, 10361, 540, 519, 12287, 6773, 13163, 538, 519, 12080, 540, 2782, 689, 476, 4489, 277, 1700, 4489, 280, 267, 543, 1310, 1010, 13319, 547, 9114, 23133, 2489, 538, 476, 4489, 280, 267, 607, 16710, 656, 540, 519, 15875, 5545, 8136, 9142, 269, 769, 476, 4572, 272, 267, 646, 729, 2016, 513, 8396, 4971, 1586, 267, 607, 19524, 540, 519, 594, 297, 288, 476, 1556, 628, 10406, 267, 543, 689, 476, 4572, 273, 607, 19524, 540, 519, 594, 297, 288, 476, 272, 560, 10406, 563, 5804, 476, 4572, 273, 547, 476, 4572, 274, 267, 1744, 4275, 330, 11867, 6039, 607, 21470, 5336, 514, 3563, 540, 2782, 896, 4937, 962, 16120, 20076, 670, 11961, 16230, 269, 2991, 13713, 7674, 607, 10361, 540, 8136, 17224, 517, 27658, 4972, 267, 1744, 4275, 330, 11867, 729, 12912, 2155, 6387, 538, 12751, 540, 519, 32765, 836, 339, 2426, 8136, 689, 476, 4572, 274, 547, 476, 4572, 277, 269, 1282, 799, 942, 646, 729, 13752, 519, 9835, 595, 20423, 540, 519, 11352, 540, 519, 29547, 6129, 563, 4415, 13253, 538, 3624, 6385, 15155, 4771, 909, 2509, 1930, 2112, 267, 1744, 4275, 330, 11867, 729, 771, 6312, 3481, 547, 3624, 593, 5988, 476, 1839, 267, 476, 4350, 273, 267, 547, 1831, 19524, 538, 8783, 540, 519, 29258, 30609, 819, 776, 8136, 269, 1717, 267, 1079, 3275, 2663, 267, 593, 4989, 476, 3066, 267, 476, 4350, 273, 267, 646, 729, 16094, 13676, 538, 513, 10514, 1305, 676, 11114, 7115, 19191, 962, 684, 645, 784, 3766, 559, 538, 29258, 781, 15173, 330, 537, 5244, 543, 5747, 593, 2904, 476, 2918, 563, 4537, 4275, 330, 11867, 729, 2022, 21065, 3585, 13752, 609, 519, 9835, 595, 20423, 540, 519, 11352, 540, 519, 6754, 1144, 807, 26540, 267, 11352, 540, 519, 13642, 918, 924, 476, 273, 526, 4147, 267, 543, 11506, 547, 519, 7584, 540, 546, 753, 327, 27495, 630, 8663, 517, 264, 896, 519, 737, 1794, 18602, 9263, 720, 1062, 269, 3571, 607, 1127, 941, 5258, 1063, 30401, 4092, 538, 1010, 554, 32528, 540, 631, 1846, 8500, 4821, 543, 538, 19519, 781, 589, 1195, 4821, 30895, 563, 268, 645, 1460, 267, 29464, 623, 269, 630, 1220, 272, 1040, 670, 10098, 327, 17010, 543, 519, 10435, 540, 7073, 3567, 269, 22489, 623, 15959, 658, 269, 9768, 476, 271, 268, 6187, 268, 6021, 274, 9873, 268, 273, 563, 268, 667, 1575, 8500, 267, 7066, 341, 528, 715, 269, 630, 1960, 273, 1040, 15610, 540, 13639, 22335, 269, 594, 645, 570, 4768, 529, 1299, 3213, 13456, 269, 9768, 476, 272, 268, 25616, 6246, 268, 6321, 280, 268, 274, 563, 268, 3244, 338, 267, 9400, 630, 1220, 272, 1040, 5545, 11572, 3778, 4595, 519, 2725, 25702, 11412, 990, 566, 476, 5908, 279, 1700, 1220, 271, 269, 6022, 6588, 557, 5839, 17524, 534, 269, 9768, 476, 271, 268, 24374, 268, 26839, 1428, 268, 278, 563, 268, 2549, 618, 1817, 335, 267, 6008, 523, 269, 834, 4537, 4275, 330, 11867, 962, 9655, 514, 9461, 2668, 634, 2637, 5644, 540, 2622, 2782, 4083, 563, 268, 654, 754, 601, 267, 29849, 269, 834, 8266, 540, 16710, 619, 540, 519, 32765, 656, 2426, 8136, 2668, 31196, 3778, 5517, 1504, 563, 268, 2549, 618, 1817, 335, 267, 634, 2637, 5644, 540, 2622, 2782, 4083, 454, 268, 654, 754, 601, 267, 31196, 3778, 5517, 1504, 454, 268, 667, 1575, 8500, 267, 15610, 540, 13639, 22335, 454, 347, 14737, 3563, 540, 2782, 454, 19688, 476, 4572, 278, 1107, 5147, 476, 4572, 280, 454, 347, 8333, 6387, 267, 29258, 30609, 819, 776, 8136, 454, 21938, 476, 4350, 273, 1107, 4989, 476, 4350, 273, 454, 347, 8333, 6387, 267, 32765, 656, 2426, 8136, 454, 19751, 476, 4572, 274, 1107, 5147, 476, 4572, 277, 0, 306, 15659, 11534, 657, 2572, 281, 14313, 593, 875, 547, 1118, 707, 1378, 6587, 911, 903, 693, 1753, 609, 7622, 3688, 563, 2080, 649, 1491, 513, 1413, 693, 1946, 3204, 326, 1470, 2506, 23158, 2069, 1568, 543, 1397, 596, 875, 621, 7498, 19530, 762, 2831, 585, 519, 26229, 8033, 757, 1353, 454, 10403, 26229, 12729, 543, 16504, 2200, 585, 1453, 9907, 476, 274, 268, 1321, 267, 26229, 2979, 267, 1893, 543, 2686, 454, 21848, 1895, 281, 18014, 631, 269, 273, 269, 1428, 10576, 519, 1843, 602, 1185, 1044, 3773, 547, 513, 1895, 269, 631, 269, 273, 269, 736, 5269, 513, 4015, 540, 3688, 3677, 676, 4946, 3688, 950, 4280, 563, 684, 605, 27826, 1313, 712, 5918, 17855, 267, 632, 561, 262, 2246, 641, 677, 7159, 679, 561, 262, 665, 10810, 1338, 269, 8551, 1471, 340, 1564, 267, 2504, 632, 1257, 324, 267, 911, 924, 618, 632, 1257, 324, 269, 1133, 17855, 632, 544, 1824, 513, 1380, 328, 13248, 638, 16211, 32488, 2336, 24145, 776, 14208, 1824, 281, 4790, 749, 725, 1299, 18395, 585, 8866, 454, 10831, 12805, 2534, 454, 7666, 3660, 2979, 4245, 267, 10213, 942, 267, 0, 14071, 5858, 1472, 10723, 2418, 543, 1287, 2671, 2022, 554, 665, 7440, 827, 1946, 649, 616, 865, 1318, 543, 789, 616, 865, 4636, 269, 1284, 1589, 602, 519, 824, 2427, 568, 9420, 547, 5168, 267, 2601, 267, 2257, 543, 1455, 2631, 855, 538, 1249, 3025, 4422, 9420, 950, 6158, 827, 741, 10723, 3615, 269, 1403, 596, 1616, 547, 1174, 1776, 1895, 267, 1246, 741, 10723, 1145, 7536, 297, 517, 11936, 670, 4660, 339, 267, 634, 9406, 15667, 9650, 1107, 1946, 1434, 1004, 616, 5258, 676, 6214, 543, 4984, 630, 1001, 273, 994, 14276, 8456, 616, 5827, 540, 16138, 5109, 610, 21006, 4031, 543, 5238, 269, 769, 519, 5177, 1857, 8456, 616, 4543, 547, 6861, 1480, 2924, 267, 1312, 1369, 543, 3564, 938, 24528, 269, 634, 5177, 568, 711, 4805, 1107, 519, 1480, 2924, 2048, 25912, 685, 568, 896, 14213, 2066, 519, 8608, 267, 2436, 538, 8456, 547, 519, 4139, 22518, 7040, 538, 2694, 540, 4000, 610, 9228, 13253, 1063, 3540, 23118, 543, 3354, 538, 519, 2022, 476, 280, 270, 1556, 7330, 585, 1383, 563, 763, 5274, 7126, 2920, 476, 1960, 279, 949, 723, 2048, 289, 3754, 7126, 5851, 685, 676, 2048, 516, 6312, 686, 908, 685, 519, 2924, 8659, 538, 519, 3864, 13482, 593, 5274, 7126, 267, 16135, 607, 1082, 540, 873, 941, 538, 519, 2296, 5871, 4521, 267, 855, 594, 1589, 621, 568, 4023, 547, 2161, 602, 6388, 814, 17388, 7753, 519, 12178, 4857, 676, 661, 32642, 17619, 593, 519, 476, 1015, 628, 16683, 540, 519, 17629, 16672, 593, 5274, 7126, 538, 476, 4198, 279, 912, 8072, 8489, 267, 1310, 782, 267, 798, 8471, 1480, 2924, 2253, 286, 769, 1507, 4025, 267, 2673, 547, 1753, 1107, 865, 2673, 543, 865, 1507, 602, 789, 3112, 581, 2938, 593, 1022, 7851, 540, 519, 1158, 269, 8616, 789, 616, 519, 1158, 540, 519, 1367, 1268, 282, 519, 8378, 646, 2729, 538, 282, 519, 1153, 610, 2852, 646, 1140, 1742, 282, 519, 12051, 267, 3484, 267, 610, 5604, 1141, 646, 1568, 269, 6270, 616, 519, 4025, 1141, 1169, 812, 267, 4807, 267, 543, 1126, 11394, 3160, 5126, 267, 3160, 4316, 267, 3160, 15683, 1510, 7130, 269, 28791, 891, 2924, 723, 2495, 972, 267, 789, 723, 2370, 2495, 9170, 19028, 2005, 568, 4401, 545, 602, 519, 3668, 540, 2495, 602, 1480, 2924, 2408, 547, 4865, 585, 1082, 1004, 538, 519, 5177, 11710, 538, 1100, 1507, 851, 689, 519, 5177, 779, 2594, 540, 1967, 538, 32750, 2463, 585, 1480, 2924, 543, 4909, 22624, 269, 1280, 1034, 1004, 971, 2924, 543, 22624, 616, 865, 18955, 883, 519, 4948, 5958, 607, 547, 581, 15865, 269, 4139, 1480, 2924, 2508, 619, 798, 711, 593, 519, 2898, 1489, 1480, 2924, 960, 538, 519, 5177, 1317, 540, 713, 267, 7487, 519, 1483, 6937, 607, 14084, 11992, 269, 4139, 1480, 2924, 27013, 798, 711, 4163, 856, 960, 538, 519, 5177, 585, 519, 1482, 2601, 269, 634, 5177, 568, 835, 540, 519, 2048, 16591, 16921, 685, 602, 24947, 543, 5360, 625, 609, 3486, 4441, 543, 519, 4341, 540, 1876, 269, 3776, 14579, 543, 20448, 8433, 8362, 3895, 1480, 2924, 1472, 519, 8608, 563, 8170, 1576, 519, 5274, 7126, 2920, 543, 519, 3864, 13482, 593, 5274, 7126, 723, 28322, 8723, 4961, 5275, 5126, 269, 8616, 11214, 267, 950, 2984, 971, 607, 3885, 17516, 5126, 585, 519, 2530, 540, 6068, 3283, 693, 519, 3946, 540, 519, 3557, 267, 607, 538, 519, 2013, 540, 519, 22193, 28386, 769, 638, 3949, 610, 676, 519, 3885, 540, 1346, 945, 5747, 538, 23244, 10506, 538, 11068, 16065, 867, 28790, 610, 8723, 1876, 705, 4575, 1004, 4101, 519, 6057, 540, 3329, 2218, 7060, 676, 2879, 334, 14563, 2199, 5646, 15078, 3914, 519, 1857, 6389, 267, 519, 11358, 1909, 540, 519, 5274, 7126, 2920, 610, 519, 3864, 7040, 540, 5274, 7126, 5526, 547, 1205, 4503, 563, 4517, 1247, 9118, 2516, 543, 14540, 616, 8362, 3238, 538, 5859, 532, 585, 1018, 538, 1082, 824, 2477, 1131, 581, 27537, 607, 1480, 2924, 1107, 519, 5859, 585, 10349, 7862, 267, 585, 16981, 1004, 547, 2661, 10446, 267, 1996, 5208, 1996, 2021, 267, 585, 3160, 2628, 267, 1996, 12250, 10168, 1107, 538, 519, 5177, 1082, 540, 891, 2516, 3442, 711, 547, 7406, 741, 14223, 538, 891, 2474, 267, 1373, 811, 2693, 547, 2911, 540, 7862, 267, 1514, 5126, 610, 3540, 2924, 269, 6884, 538, 519, 2250, 971, 14540, 723, 6829, 30739, 29383, 547, 1480, 2924, 267, 3823, 873, 607, 22350, 3656, 543, 607, 11046, 2065, 267, 32682, 1027, 689, 1514, 5322, 543, 693, 12918, 609, 1895, 17604, 269, 4653, 1082, 2408, 11688, 26938, 547, 2308, 1480, 2924, 10502, 1317, 621, 814, 1831, 971, 513, 6757, 6216, 269, 2368, 4250, 621, 786, 6467, 1055, 22881, 267, 14761, 543, 519, 2923, 543, 798, 811, 2800, 982, 1434, 563, 21953, 621, 568, 10502, 713, 2048, 327, 5200, 7952, 685, 540, 1480, 2924, 9718, 619, 602, 991, 547, 856, 2933, 952, 649, 616, 547, 2253, 547, 1689, 519, 2239, 593, 1480, 2924, 538, 519, 5177, 543, 547, 1628, 1489, 585, 519, 2956, 540, 1480, 2924, 538, 519, 2048, 20791, 4025, 2673, 547, 1753, 10200, 1284, 798, 723, 513, 15597, 14102, 9872, 609, 513, 3656, 10279, 547, 798, 971, 960, 267, 855, 585, 5722, 1296, 1631, 630, 10175, 519, 942, 594, 5249, 972, 267, 3056, 922, 1480, 2924, 960, 264, 621, 814, 6140, 5706, 539, 3257, 865, 269, 6435, 568, 856, 972, 2705, 689, 519, 4982, 958, 744, 2720, 11036, 267, 3964, 676, 519, 25734, 543, 16844, 17072, 609, 519, 1489, 540, 5216, 1347, 885, 267, 585, 873, 547, 581, 2111, 547, 2995, 741, 1650, 540, 1480, 2924, 538, 513, 1259, 602, 711, 1152, 30417, 519, 17219, 855, 799, 568, 3254, 547, 3986, 519, 1764, 540, 741, 14223, 960, 563, 4462, 1652, 543, 2394, 713, 6626, 14218, 1890, 540, 1489, 2501, 4464, 547, 2995, 922, 1378, 1480, 2924, 2984, 267, 519, 1480, 2924, 2239, 538, 519, 5177, 786, 3136, 547, 581, 13856, 676, 2984, 827, 16957, 9810, 1235, 267, 28357, 32339, 267, 4914, 20737, 267, 14586, 267, 17631, 630, 27486, 12224, 6167, 303, 8008, 8085, 2752, 717, 4629, 16810, 28313, 1070, 1210, 519, 5274, 7126, 2920, 610, 8744, 2665, 547, 519, 3864, 7040, 540, 5274, 7126, 547, 1107, 621, 568, 11130, 1107, 859, 1228, 5126, 267, 610, 547, 29875, 7938, 9287, 9479, 540, 14619, 676, 24584, 2924, 1510, 16706, 862, 839, 23847, 9021, 269, 769, 2110, 267, 1480, 2924, 786, 3136, 547, 581, 9833, 607, 4550, 2173, 1994, 9107, 1107, 607, 538, 519, 4690, 540, 18441, 1152, 543, 711, 519, 9962, 1857, 1719, 269, 901, 2239, 786, 4734, 621, 2647, 1930, 547, 6057, 1107, 4401, 1227, 30343, 513, 2239, 602, 11942, 538, 1082, 513, 2631, 540, 1379, 16531, 543, 771, 523, 325, 13361, 1047, 618, 267, 950, 519, 1360, 3483, 540, 1480, 2924, 568, 547, 11063, 1379, 547, 519, 1004, 543, 1118, 519, 3532, 18177, 269, 2334, 568, 1946, 22215, 519, 5274, 7126, 2920, 543, 519, 3864, 7040, 540, 5274, 7126 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 5278, 2161, 267, 968, 1729, 4339, 11508, 892, 543, 602, 568, 3020, 269, 1284, 798, 1039, 31294, 547, 606, 10697, 779, 3001, 2694, 547, 2569, 11508, 269, 1809, 972, 779, 811, 547, 621, 982, 602, 563, 5278, 2161, 267, 968, 1729, 2569, 3002, 892, 543, 602, 568, 849, 3020, 269, 634, 1318, 2179, 540, 19149, 656, 1281, 948, 1832, 3001, 2694, 689, 3478, 1932, 3905, 269, 1809, 930, 561, 4209, 10509, 338, 267, 3206, 811, 568, 1732, 267, 1491, 621, 547, 519, 3665, 269, 1358, 1039, 811, 31294, 2443, 3206, 789, 616, 3257, 1434, 2443, 543, 3079, 1781, 651, 519, 3684, 779, 2702, 547, 771, 704, 572, 3002, 563, 763, 1483, 2601, 547, 19149, 622, 7221, 568, 547, 1106, 9668, 1063, 7252, 269, 901, 7954, 10039, 547, 711, 1152, 5179, 26971, 269, 634, 16537, 976, 538, 606, 2599, 267, 11800, 593, 513, 5832, 5397, 267, 24039, 538, 513, 1487, 1356, 267, 1256, 5276, 26971, 602, 798, 711, 17967, 267, 855, 13472, 1394, 543, 8521, 269, 634, 3119, 3483, 547, 19149, 622, 2168, 7221, 568, 547, 1832, 3001, 7252, 689, 4947, 883, 3346, 609, 1142, 824, 269, 5221, 950, 789, 798, 267, 5821, 12331, 616, 15748, 267, 543, 29488, 568, 27571, 563, 293, 9689, 568, 513, 3196, 799, 1727, 4680, 3350, 1063, 7252, 269, 674, 9689, 4679, 5957, 1063, 7252, 267, 4679, 1062, 2837, 267, 543, 13497, 4679, 1379, 4616, 269, 634, 1318, 2179, 267, 543, 1826, 540, 19149, 656, 5932, 513, 6094, 4670, 1063, 1079, 7252, 269, 1280, 607, 1279, 607, 602, 4670, 568, 9738, 267, 621, 14014, 519, 10697, 689, 5957, 543, 3002, 1247, 3850, 621, 547, 3132, 538, 606, 1648, 3608, 1259, 563, 5278, 19149, 1218, 2709, 519, 3606, 4324, 540, 9013, 14809, 269, 1358, 2270, 21187, 799, 2061, 15309, 689, 3679, 543, 1216, 6285, 563, 294, 516, 848, 1590, 581, 6854, 1863, 540, 17694, 267, 855, 519, 1360, 2470, 540, 519, 5394, 10273, 2636, 621, 547, 4584, 909, 7452, 543, 27497, 269, 7743, 4859, 568, 4061, 2629, 267, 543, 2973, 31294, 4294, 5265, 666, 2965, 13104, 6191, 689, 519, 3824, 816, 540, 17694, 563, 763, 2257, 540, 19149, 566, 5170, 547, 11457, 585, 936, 476, 6110, 271, 1296, 269, 1809, 519, 3741, 2611, 519, 1482, 282, 547, 2226, 9668, 540, 1079, 610, 811, 7252, 267, 3976, 10804, 532, 519, 10727, 540, 519, 3003, 10697, 563, 12606, 938, 13813, 1299, 13983, 848, 19554, 7454, 13756, 585, 811, 4388, 547, 948, 7291, 519, 1655, 2853, 585, 1697, 19149, 566, 4859, 563, 2421, 667, 10005, 623, 1229, 320, 454, 296, 13984, 513, 2866, 5063, 593, 519, 14168, 6441, 6471, 2473, 307, 278, 3583, 12972, 1062, 693, 606, 3282, 543, 3154, 9808, 9535, 2754, 538, 4639, 7147, 269, 4438, 519, 2866, 594, 4862, 519, 2165, 968, 26572, 848, 17494, 892, 543, 1256, 1498, 594, 723, 1044, 538, 519, 19149, 566, 2361, 585, 476, 3066, 1296, 267, 594, 729, 14542, 609, 713, 3662, 563, 290, 727, 547, 1265, 856, 267, 621, 568, 513, 2165, 1031, 547, 4766, 606, 3498, 4625, 27507, 540, 1022, 31294, 269, 769, 824, 1913, 267, 2576, 4769, 1406, 31294, 519, 3937, 693, 782, 543, 2687, 547, 519, 16944, 6105, 267, 891, 535, 1112, 25875, 968, 26572, 848, 17494, 892, 1590, 723, 13881, 519, 31294, 2336, 6546, 3893, 803, 3206, 827, 519, 1114, 3282, 24620, 885, 543, 31294, 5394, 22211, 543, 875, 711, 782, 6067, 1162, 616, 2813, 3160, 269, 1284, 1590, 1413, 693, 1142, 3498, 14350, 543, 3313, 519, 2953, 3282, 25297, 543, 519, 2953, 5394, 10273, 610, 968, 810, 777, 892, 602, 786, 960, 1655, 538, 519, 3498, 269, 1411, 1294, 267, 519, 5394, 22211, 723, 1114, 4162, 602, 1860, 519, 2773, 269, 634, 2165, 968, 4041, 4811, 892, 666, 1205, 721, 2673, 547, 938, 3803, 5542, 563, 268, 20509, 1107, 1018, 4452, 786, 519, 12946, 581, 5885, 1282, 922, 1272, 4783, 286, 1261, 822, 1176, 16041, 26971, 616, 3335, 14887, 3001, 543, 1131, 2154, 513, 811, 1471, 32654, 3490, 3282, 547, 948, 5094, 519, 4496, 7252, 3001, 6587, 1142, 824, 269, 594, 1522, 3442, 513, 7513, 9829, 517, 622, 5394, 10273, 585, 713, 3498, 1317, 713, 5394, 10273, 814, 5140, 4452, 8876, 7207, 563, 268, 5113, 1107, 1141, 786, 519, 12946, 581, 4092, 286, 1772, 621, 3544, 267, 6534, 547, 519, 2609, 286, 1772, 621, 538, 519, 9808, 9535, 1158, 1141, 1216, 267, 7452, 267, 13897, 267, 19089, 267, 4764, 267, 610, 6464, 3092, 269, 786, 723, 606, 1198, 593, 519, 31294, 779, 2773, 286, 7994, 519, 5394, 10273, 20617, 607, 1631, 513, 16864, 1950, 610, 11956, 1950, 12853, 949, 581, 519, 1655, 2489, 3483, 4781, 563, 268, 18323, 1107, 769, 4639, 7147, 267, 519, 2837, 23638, 666, 581, 476, 2568, 5232, 689, 3781, 547, 1554, 269, 901, 1522, 1860, 519, 2773, 540, 519, 31294, 607, 621, 12211, 547, 6802, 1464, 267, 2523, 538, 606, 13128, 31294, 1062, 899, 713, 9744, 729, 1210, 269, 3767, 267, 519, 5394, 10273, 1522, 15658, 519, 2095, 540, 519, 31294, 607, 930, 865, 2355, 616, 1634, 711, 547, 6802, 1134, 267, 899, 513, 7513, 9829, 517, 622, 563, 268, 17726, 1107, 1018, 568, 519, 12946, 3432, 286, 674, 2120, 543, 4130, 3335, 723, 519, 991, 585, 513, 14402, 25297, 3490, 3282, 543, 513, 811, 2095, 762, 5394, 10273, 269, 17957, 267, 513, 1804, 267, 8185, 16041, 3500, 3001, 12946, 1131, 2154, 513, 811, 1471, 32654, 3490, 3282, 543, 513, 811, 7347, 12853, 547, 948, 4163, 519, 4452, 563, 1103, 3932, 267, 19845, 4811, 8495, 1142, 3498, 593, 922, 1378, 26350, 547, 1118, 519, 1655, 3803, 8990, 585, 799, 31294, 1058, 581, 1031, 282, 543, 267, 8856, 19149, 566, 1210, 16953, 666, 948, 2327, 602, 519, 1318, 2179, 540, 31294, 568, 1373, 1031, 267, 543, 1522, 1175, 948, 2057, 519, 22467, 1674, 540, 519, 23487, 539, 968, 26572, 848, 21431, 892, 2336, 2421, 667, 10005, 623, 1229, 320, 454, 5629, 596, 1174, 875, 31294, 2965, 1568, 547, 19149, 622, 513, 12946, 267, 621, 3587, 6654, 1946, 936, 3766, 516, 2084, 3123, 865, 1454, 8194, 547, 1312, 26971, 543, 519, 31294, 3294, 269, 5457, 267, 782, 649, 1616, 689, 938, 19149, 656, 568, 547, 1683, 513, 2370, 9668, 538, 519, 2112, 7997, 269, 23875, 811, 2507, 4986, 1447, 563, 2252, 596, 2461, 2542, 519, 2165, 968, 8705, 7997, 892, 585, 519, 1101, 942, 267, 649, 946, 602, 2165, 547, 4766, 519, 3148, 540, 519, 12946, 1141, 782, 519, 5957, 543, 15237, 4386, 563, 3086, 1577, 779, 7006, 601, 1614, 14868, 827, 6067, 2084, 26971, 563, 300, 2814, 1948, 272, 281, 952, 930, 31294, 568, 1434, 267, 1287, 513, 2603, 811, 1590, 581, 1390, 563, 268, 654, 305, 32670, 256, 4107, 12946, 9755, 899, 27699, 293, 267, 674, 8980, 267, 24857, 301, 267, 918, 302, 312, 302, 267, 782, 4363, 602, 519, 12946, 8027, 13570, 1152, 581, 4904, 547, 476, 1789, 260, 4390, 269, 700, 4209, 13623, 1210, 513, 942, 2861, 1935, 547, 31294, 25579, 7321, 616, 3592, 2141, 6028, 741, 7221, 538, 606, 936, 3766, 516, 1078, 1533, 563, 300, 2814, 1948, 273, 281, 2859, 31294, 786, 1683, 1732, 9023, 585, 519, 12946, 563, 268, 654, 305, 32670, 256, 13983, 848, 3085, 1406, 1683, 9023, 267, 2011, 2230, 1281, 269, 674, 3739, 1169, 20704, 609, 31294, 669, 10280, 519, 12946, 779, 2702, 547, 26632, 622, 3002, 6383, 676, 1256, 3339, 11508, 2157, 563, 300, 2814, 1948, 274, 281, 1403, 972, 568, 513, 31294, 562, 21451, 593, 519, 12946, 8027, 621, 1590, 581, 6067, 1078, 563, 268, 654, 305, 32670, 256, 2368, 16546, 2097, 609, 968, 572, 4705, 16519, 3734, 892, 26971, 8704, 269, 1452, 616, 5921, 547, 581, 2760, 6067, 1078, 2507, 12601, 2207, 269, 8616, 267, 2576, 2219, 621, 1131, 1869, 581, 15931, 547, 3888, 513, 31294, 562, 21451, 1022, 1811, 269, 1411, 723, 547, 917, 1018, 779, 3330, 707, 5179, 1317, 31294, 15963, 616, 899, 5694, 13594, 269, 4495, 596, 25837, 519, 9594, 596, 666, 1406, 8631, 519, 31294, 1394, 3330, 519, 8546, 563, 5319, 965, 3983, 2853, 5225, 269, 1284, 991, 513, 6067, 2084, 4640, 267, 855, 811, 982, 713, 267, 649, 991, 513, 6067, 2084, 2528, 269, 14068, 6067, 2084, 2528, 786, 3548, 1434, 6067, 2084, 4640, 585, 12899, 269, 898, 1152, 3217, 835, 3983, 17076, 267, 1419, 1134, 10784, 1549, 539, 1107, 547, 6861, 606, 10697, 563, 294, 516, 848, 15963, 1810, 1406, 6146, 26971, 2507, 1004, 798, 563, 14188, 596, 30129, 681, 1329, 14259, 609, 12676, 307, 8299, 14647, 10298, 585, 4687, 713, 13181, 2376, 2336, 13425, 856, 938, 700, 18510, 2750, 13630, 267, 519, 16953, 3070, 547, 2057, 31294, 5829, 12946, 5821, 256, 9578, 267, 4647, 938, 476, 276, 28157, 3600, 15064, 700, 17128, 566, 26488, 606, 2500, 19149, 566, 5650, 547, 31294, 26971, 1318, 563, 2421, 667, 10005, 623, 1229, 320, 454, 4407, 538, 8402, 6807, 267, 918, 312, 1310, 519, 1948, 15551, 14641, 866, 10554, 267, 594, 3576, 513, 4663, 540, 519, 19664, 779, 2037, 11803, 536, 712, 2548, 1253, 20455, 543, 729, 4278, 2683, 711, 1152, 676, 741, 5386, 536, 712, 2548, 8737, 538, 2823, 9174, 29054, 855, 676, 741, 3007, 547, 3106, 543, 2189, 13319, 540, 3106, 782, 1472, 741, 2973, 9744, 269, 4256, 15931, 968, 3891, 13273, 666, 7227, 269, 8881, 1101, 892, 3948, 15069, 10039, 547, 782, 5826, 2238, 855, 538, 713, 1880, 2013, 267, 3254, 538, 1250, 8666, 267, 621, 729, 1031, 547, 11168, 519, 2956, 540, 9376, 13050, 543, 11090, 13050, 5773, 267, 849, 1634, 2429, 938, 2872, 607, 700, 5588, 302, 563, 19284, 16953, 4152, 267, 17974, 19149, 566, 610, 19089, 2079, 267, 782, 540, 799, 2638, 3684, 610, 6703, 2783, 1247, 909, 543, 4881, 267, 12972, 543, 13326, 2154, 6191, 547, 581, 9505, 1524, 543, 5265, 19526, 856, 267, 547, 15666, 547, 782, 3106, 6042, 269, 8307, 1287, 666, 519, 3334, 581, 15841, 593, 519, 14788, 338, 269, 901, 5849, 519, 2922, 10047, 540, 519, 14788, 338, 543, 12972, 28303, 547, 581, 1500, 1510, 1981, 540, 5945, 547, 5826, 10986, 563, 296, 666, 1406, 2566, 2614, 519, 2956, 540, 3106, 1282, 3028, 610, 5826, 540, 6191, 543, 5000, 596, 547, 1020, 811, 19782, 1190, 1793, 690, 753, 899, 968, 3891, 13273, 666, 7227, 269, 8881, 1101, 892, 547, 2721, 811, 3007, 547, 713, 1271, 6161, 1369, 707, 2030, 563, 2080, 616, 519, 3670, 3268, 547, 1246, 585, 1697, 700, 5588, 302, 829, 13013, 11190, 476, 24374, 271, 912, 272, 269, 16259, 585, 9505, 6658, 3248, 273, 269, 1744, 583, 1524, 519, 3684, 3248, 274, 269, 2598, 6618, 610, 20586, 519, 3684, 689, 519, 1648, 2707, 4433, 11850, 275, 269, 15233, 519, 9376, 719, 610, 11090, 13050, 3926, 4433, 264, 547, 519, 1648, 268, 18066, 908, 3926, 4433, 11850, 276, 269, 24793, 267, 1964, 1778, 267, 610, 6382, 11904, 2922, 782, 1761, 13818, 6740, 610, 15895, 1648, 269, 1403, 513, 7872, 6818, 585, 556, 3147, 636, 1637, 540, 13818, 1648, 267, 5781, 13182, 1282, 519, 3028, 543, 5826, 602, 971, 1648, 814, 711, 556, 3147, 636, 4327, 547, 13818, 2157, 282, 543, 2676, 277, 269, 7638, 1518, 519, 10072, 543, 632, 523, 1120, 1436, 540, 519, 3684, 563, 288, 2123, 4063, 585, 25816, 2548, 18798, 281, 952, 596, 10093, 1406, 2907, 267, 2119, 30010, 4158, 10538, 10217, 609, 707, 5172, 536, 712, 2548, 267, 1018, 513, 8949, 4999, 256, 24656, 666, 7227, 269, 7490, 4235, 19100, 563, 2421, 27118, 12756, 5548, 326, 5964, 267, 10911, 299, 454, 15253, 5962, 2011, 568, 835, 540, 519, 1614, 5207, 1942, 20848, 538, 946, 693, 707, 2030, 269, 898, 568, 849, 835, 540, 519, 2547, 9738, 538, 2474, 540, 1062, 20984, 269, 2274, 6545, 616, 7199, 543, 3653, 995, 267, 855, 1034, 1419, 16053, 269, 2274, 6545, 949, 2049, 9170, 538, 707, 19316, 2011, 1062, 269, 3371, 779, 938, 1592, 540, 1283, 4557, 1034, 1455, 20984, 912, 268, 22627, 593, 2011, 3761, 3515, 630, 335, 6346, 994, 268, 16797, 4172, 680, 619, 454, 268, 623, 928, 9964, 26561, 454, 268, 16242, 22124, 454, 268, 5794, 3819, 619, 454, 268, 1772, 15684, 17901, 454, 268, 6513, 17901, 454, 268, 4201, 11703, 8963, 20637, 454, 268, 5794, 3021, 2209, 454, 23804, 543, 21338, 891, 20984, 568, 606, 2653, 1259, 547, 2569, 1648, 3790, 267, 855, 4466, 873, 568, 711, 2653, 1317, 540, 4282, 6846, 269, 589, 1434, 2298, 24318, 21319, 18785, 666, 5873, 31285, 5103, 519, 19355, 6846, 540, 519, 12051, 6989, 563, 12606, 938, 700, 12788, 298, 590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9199, 1553, 20316, 1282, 519, 8445, 862, 5024, 1974, 568, 4742, 811, 543, 811, 3978, 538, 1082, 4872, 538, 3624, 269, 6452, 23847, 12605, 540, 6808, 2095, 593, 4683, 9897, 1282, 519, 8445, 862, 5024, 1974, 568, 835, 540, 519, 1883, 4909, 2042, 547, 2569, 6808, 20316, 543, 1628, 10995, 6283, 269, 901, 1957, 23083, 513, 1970, 21057, 543, 1164, 3887, 11797, 1505, 547, 2232, 519, 2591, 540, 519, 4540, 10758, 5456, 2562, 5937, 2464, 2316, 2793, 3582, 5619, 1505, 267, 799, 568, 14427, 267, 28537, 543, 814, 3908, 6111, 540, 2164, 269, 1635, 1210, 519, 2749, 17253, 6808, 267, 1514, 3354, 267, 6142, 267, 2551, 543, 824, 3059, 2749, 1239, 267, 649, 1895, 519, 7264, 262, 2951, 12331, 883, 2185, 2010, 281, 6972, 267, 1857, 6283, 267, 7841, 18302, 543, 1582, 28391, 1759, 593, 519, 3028, 8953, 543, 2951, 3845, 540, 6283, 267, 543, 5659, 543, 1293, 519, 1297, 540, 4357, 1286, 15143, 543, 7841, 18302, 18213, 2095, 676, 1210, 519, 7841, 18302, 10862, 6240, 543, 519, 20125, 2619, 5690, 267, 543, 3589, 519, 862, 5024, 8445, 1974, 1759, 593, 713, 1505, 269, 634, 4155, 6808, 2095, 1282, 519, 8445, 862, 5024, 1974, 568, 849, 10567, 269, 634, 14496, 543, 10727, 540, 519, 1505, 616, 7152, 676, 1210, 6093, 1239, 540, 18961, 7315, 2749, 607, 606, 1383, 269, 0, 2304, 2376, 568, 267, 10416, 267, 606, 2376, 602, 12662, 519, 5856, 779, 7521, 267, 2356, 267, 1010, 610, 1200, 5098, 267, 1472, 267, 855, 519, 1808, 4214, 568, 688, 5414, 267, 20718, 609, 602, 540, 513, 1867, 267, 18340, 267, 606, 3391, 267, 543, 30732, 2280, 267, 543, 1256, 513, 5618, 1650, 269, 10749, 723, 2141, 1044, 9833, 607, 13680, 543, 6101, 267, 855, 609, 519, 4417, 540, 519, 4950, 543, 5816, 3101, 267, 3594, 616, 849, 2139, 607, 5816, 9708, 269, 3958, 267, 3594, 1522, 581, 3370, 607, 552, 20486, 543, 3370, 593, 519, 4950, 269, 3509, 2367, 543, 2021, 945, 2328, 3594, 609, 519, 9837, 540, 13629, 873, 17492, 873, 547, 1205, 4598, 269, 4033, 1004, 2328, 873, 547, 2671, 741, 4555, 267, 2833, 267, 610, 9821, 563, 763, 3483, 540, 21882, 3594, 568, 3309, 267, 855, 10097, 1790, 3639, 14492, 782, 6054, 616, 2854, 547, 1459, 835, 6644, 267, 547, 17854, 610, 9414, 513, 3409, 267, 547, 7038, 267, 610, 547, 22321, 269, 898, 568, 606, 1271, 5057, 540, 2362, 2069, 585, 513, 2875, 547, 2328, 543, 29289, 513, 1305, 540, 3594, 593, 513, 1808, 1888, 269, 2311, 519, 1482, 942, 267, 1082, 20485, 786, 2503, 513, 2875, 547, 17492, 513, 1382, 1957, 593, 513, 1641, 1352, 2090, 269, 634, 1603, 1184, 5956, 1354, 1603, 519, 1101, 4845, 267, 1256, 1354, 7446, 513, 1888, 267, 610, 14045, 593, 513, 2012, 269, 634, 1557, 779, 3483, 267, 1247, 621, 31825, 519, 2278, 779, 1367, 5133, 267, 12582, 1406, 581, 1634, 855, 11129, 547, 581, 6829, 538, 513, 6073, 602, 779, 28505, 689, 519, 5467, 267, 799, 2306, 519, 1034, 2631, 563, 288, 9735, 1557, 1603, 5650, 5956, 609, 519, 5542, 540, 513, 5078, 1888, 267, 835, 602, 949, 581, 1634, 543, 12211, 547, 519, 1603, 3853, 269, 901, 568, 606, 1271, 851, 540, 519, 1557, 1603, 1184, 267, 607, 621, 2636, 519, 2278, 547, 6582, 741, 2093, 1354, 1603, 519, 1360, 1101, 5037, 269, 769, 1840, 267, 519, 6074, 1888, 814, 547, 581, 4277, 543, 10858, 267, 799, 2306, 621, 2009, 547, 12314, 519, 2376, 547, 1808, 1382, 543, 3450, 5773, 269, 634, 1641, 814, 547, 581, 1134, 7302, 4923, 547, 2327, 519, 1557, 779, 2497, 568, 9266, 543, 19016, 1227, 3280, 563, 5475, 7446, 519, 1318, 1888, 267, 519, 1603, 1895, 610, 5856, 5170, 519, 1603, 1184, 676, 14045, 593, 3617, 1603, 2511, 543, 2497, 269, 901, 568, 5310, 519, 1034, 1713, 1900, 538, 519, 2407, 1557, 1603, 1184, 607, 513, 4057, 5542, 540, 2511, 543, 3898, 666, 25010, 606, 6382, 1134, 27787, 1557, 269, 634, 6662, 540, 513, 1134, 27787, 2376, 1131, 581, 547, 23666, 519, 5467, 609, 835, 779, 1702, 267, 1982, 267, 543, 1603, 5578, 267, 607, 1134, 607, 547, 1397, 519, 1620, 540, 519, 1888, 269, 1677, 2322, 621, 8335, 267, 513, 1134, 27787, 1557, 814, 547, 581, 1134, 27787, 563, 763, 1603, 1895, 610, 5856, 1287, 23297, 513, 1603, 2511, 547, 9290, 1010, 610, 1200, 1603, 3340, 267, 607, 1134, 607, 547, 2769, 1010, 610, 1200, 8223, 540, 519, 1641, 269, 3509, 1053, 4782, 547, 2328, 741, 1378, 3594, 267, 4352, 1866, 949, 3442, 547, 946, 519, 6351, 540, 606, 1557, 11049, 3028, 269, 634, 3903, 1063, 3054, 610, 14139, 519, 2533, 540, 606, 1557, 11049, 3028, 5673, 593, 519, 2698, 2298, 540, 713, 3803, 2854, 1587, 269, 4107, 1053, 4782, 547, 2328, 741, 1378, 3594, 267, 607, 621, 3947, 873, 519, 4960, 547, 2123, 1125, 519, 1603, 865, 602, 621, 10742, 741, 7569, 269, 32167, 2812, 1210, 519, 2533, 540, 606, 1557, 11049, 3028, 949, 1964, 21407, 602, 519, 6364, 786, 4440, 2693, 581, 1134, 27787, 543, 2743, 609, 741, 4081, 4170, 563, 5475, 7446, 547, 2328, 610, 547, 946, 519, 6351, 540, 606, 1557, 11049, 6109, 267, 13844, 5955, 689, 519, 2754, 568, 1776, 1900, 269, 4014, 1082, 4213, 2709, 20822, 5955, 267, 713, 3884, 1406, 8209, 519, 2013, 607, 930, 1603, 6887, 4782, 547, 1205, 5955, 689, 513, 1880, 1367, 538, 519, 3919, 267, 899, 513, 7548, 269, 15775, 5955, 689, 513, 1808, 1367, 786, 948, 519, 2278, 547, 1451, 4010, 1018, 2127, 646, 610, 1352, 6499, 547, 2087, 2390, 267, 3079, 540, 2489, 8292, 269, 6271, 2601, 547, 4309, 8369, 689, 519, 2754, 568, 602, 10909, 616, 3622, 3833, 6297, 827, 17096, 267, 799, 666, 581, 513, 1966, 952, 519, 2816, 568, 2366, 547, 606, 4081, 4760, 269, 769, 1840, 267, 26687, 640, 5849, 602, 2818, 540, 519, 2319, 666, 1205, 9237, 5955, 1510, 2348, 547, 2626, 2055, 827, 945, 789, 616, 267, 799, 949, 581, 13943, 610, 14845, 269, 0, 268, 30799, 6651, 454, 268, 11670, 5288, 563, 268, 1215, 547, 16179, 2048, 6630, 290, 20371, 268, 11670, 18724, 788, 1653, 454, 8368, 2986, 12937, 454, 30531, 8314, 729, 2966, 607, 513, 5691, 2724, 1062, 602, 30417, 21438, 10827, 2456, 267, 855, 1281, 621, 6529, 547, 922, 3312, 5075, 286, 634, 9510, 15170, 5654, 1360, 1114, 1631, 267, 543, 621, 949, 1821, 5573, 2417, 1310, 6608, 9395, 523, 21888, 6042, 563, 1432, 12984, 519, 22731, 17496, 540, 11670, 888, 30531, 8314, 729, 5189, 676, 513, 17642, 788, 1653, 9896, 676, 9045, 25493, 26981, 600, 9369, 267, 513, 15554, 7716, 585, 606, 1367, 610, 513, 1895, 540, 1004, 945, 19424, 539, 513, 18228, 2518, 552, 2275, 1662, 1062, 602, 1131, 5512, 10479, 1652, 543, 3972, 1652, 8852, 5342, 1510, 10827, 2456, 269, 634, 1883, 3693, 540, 519, 1007, 2724, 1062, 568, 15139, 1436, 267, 607, 519, 3060, 568, 9738, 676, 782, 3755, 945, 666, 5732, 1491, 851, 538, 519, 1184, 540, 5464, 543, 1237, 1324, 8852, 267, 1775, 4318, 1421, 5599, 563, 11039, 267, 602, 4992, 1434, 593, 1957, 267, 543, 602, 1223, 581, 519, 2013, 538, 519, 1101, 1296, 540, 11670, 267, 855, 5555, 519, 3060, 814, 7930, 4957, 563, 30531, 8314, 568, 1631, 1031, 538, 2081, 602, 616, 711, 15095, 609, 26981, 600, 9369, 779, 17642, 788, 1653, 269, 1677, 2253, 609, 267, 922, 1797, 540, 5385, 4567, 814, 1044, 9561, 2666, 1813, 547, 519, 3665, 25359, 602, 814, 12042, 1229, 22278, 689, 16561, 21888, 11033, 679, 2527, 269, 16828, 267, 11670, 8694, 909, 607, 513, 4558, 540, 1871, 630, 306, 10976, 1070, 799, 7512, 2101, 5716, 547, 3180, 519, 11777, 585, 1761, 7024, 267, 3976, 32033, 922, 6991, 543, 3056, 547, 513, 7372, 8635, 538, 11777, 3892, 2066, 25963, 563, 25823, 25493, 779, 17642, 788, 1653, 7125, 585, 513, 17033, 623, 273, 303, 4528, 540, 5907, 6666, 602, 968, 30524, 1450, 2228, 11033, 547, 581, 2366, 2047, 689, 835, 5428, 547, 1776, 1510, 2469, 998, 513, 2883, 9872, 1848, 634, 1249, 602, 519, 2278, 19528, 22278, 543, 2228, 16450, 5693, 6920, 602, 11670, 729, 7620, 2966, 607, 513, 1797, 540, 5385, 267, 855, 602, 4567, 568, 711, 5078, 693, 713, 1448, 563, 1692, 5620, 6239, 1242, 9980, 885, 932, 6548, 519, 10794, 888, 1103, 519, 1101, 1296, 267, 519, 991, 585, 14291, 11670, 547, 535, 9332, 610, 5621, 23915, 814, 9141, 519, 4028, 4473, 540, 21438, 15377, 269, 2060, 21438, 15377, 543, 5599, 4238, 13671, 538, 519, 3946, 540, 1360, 1906, 267, 11670, 814, 8977, 539, 689, 922, 3355, 3239, 540, 513, 2146, 15129, 9263, 3562, 24406, 518, 630, 303, 273, 303, 264, 6666, 1062, 269, 5047, 267, 21438, 15377, 723, 1500, 922, 9153, 540, 26687, 640, 3592, 13061, 563, 7197, 6608, 2154, 21438, 21888, 4213, 609, 13646, 538, 741, 22875, 547, 20818, 918, 312, 290, 19027, 593, 3755, 267, 3976, 1818, 11670, 8852, 1413, 1454, 811, 2147, 547, 2757, 8804, 8852, 563, 23338, 1242, 15377, 723, 1185, 519, 6574, 9295, 547, 5009, 519, 10073, 540, 11670, 269, 1717, 267, 519, 8560, 540, 15170, 2066, 782, 22097, 3357, 693, 513, 1942, 1107, 11670, 814, 4503, 922, 3312, 10305, 540, 606, 552, 2275, 1662, 1062, 602, 568, 11207, 18228, 543, 3972, 1652, 269, 20305, 1185, 547, 3972, 21438, 15377, 543, 3180, 741, 21888, 7482, 609, 873, 267, 799, 3006, 1185, 10565, 4539, 1107, 1294, 24398, 269, 717, 2135, 267, 585, 1383, 563, 299, 756, 1068, 12579, 15527, 609, 519, 4473, 540, 519, 18228, 8804, 630, 5719, 22380, 264, 7678, 267, 609, 18228, 15377, 630, 291, 13052, 525, 264, 7175, 3755, 547, 4497, 538, 623, 273, 303, 23194, 1510, 4758, 909, 26692, 540, 21888, 7482, 269, 1717, 267, 607, 540, 2221, 267, 667, 13052, 525, 616, 711, 1483, 15712, 547, 21438, 13413, 267, 4352, 789, 949, 2744, 2344, 2671, 1310, 519, 12900, 540, 674, 307, 311, 269, 2311, 519, 942, 540, 1603, 267, 519, 3232, 4320, 593, 1133, 529, 342, 777, 267, 519, 4102, 667, 13052, 267, 568, 1447, 982, 1269, 272, 5479, 269, 2201, 645, 12099, 267, 621, 20489, 1269, 1428, 5479, 563, 5970, 717, 7517, 543, 16735, 5142, 27439, 547, 519, 7351, 3557, 540, 16457, 888, 29012, 267, 1480, 2470, 814, 9927, 606, 552, 6549, 9107, 5117, 883, 513, 6093, 13470, 10537, 2497, 609, 16385, 543, 2462, 5716, 693, 519, 1283, 269, 769, 519, 1101, 1296, 267, 605, 27360, 564, 29450, 1235, 543, 11309, 12579, 2219, 789, 1185, 741, 4998, 1062, 547, 5385, 1871, 1510, 3791, 6105, 269, 1717, 267, 519, 11670, 3060, 814, 1044, 5555, 24401, 6150, 676, 1480, 2470, 267, 799, 568, 7683, 3168, 547, 723, 607, 1454, 1852, 607, 2009, 563, 1103, 519, 1439, 267, 11670, 568, 1454, 811, 1114, 2221, 912, 268, 5502, 540, 3020, 15139, 1436, 267, 519, 2344, 568, 13856, 676, 21438, 15377, 543, 513, 1906, 19379, 543, 6789, 2975, 9755, 602, 666, 4324, 689, 811, 1852, 543, 1761, 12374, 563, 268, 1323, 7716, 640, 729, 8719, 609, 29660, 17376, 643, 2329, 1813, 547, 519, 918, 312, 290, 4170, 563, 268, 634, 1797, 540, 5385, 4567, 568, 13061, 1813, 547, 519, 3552, 15088, 3361, 676, 25127, 543, 2810, 11834, 12375, 267, 799, 1810, 1406, 5000, 25132, 599, 906, 15042, 269, 11670, 568, 811, 540, 606, 590, 10976, 891, 2395, 563, 268, 11670, 3892, 2066, 25963, 568, 865, 21376, 602, 621, 3274, 9356, 519, 15796, 538, 2757, 8804, 267, 538, 799, 476, 272, 260, 540, 2475, 9520, 3180, 811, 982, 3368, 540, 519, 2754, 8843, 563, 763, 1249, 602, 11670, 4682, 13416, 7948, 1406, 979, 29462, 676, 22124, 267, 799, 786, 9090, 9395, 523, 519, 3652, 563, 3674, 674, 307, 311, 519, 7926, 10261, 539, 547, 2974, 615, 538, 22769, 888, 8802, 2827, 786, 581, 519, 2063, 2101, 3815, 602, 786, 771, 29664, 519, 3312, 31672, 540, 11670, 269, 1879, 621, 2501, 547, 15725, 11670, 543, 519, 21888, 2344, 267, 519, 2243, 814, 2760, 1044, 827, 952, 855, 950, 269, 634, 674, 307, 311, 12416, 568, 711, 519, 2680, 2877, 547, 20818, 6042, 855, 568, 519, 2680, 602, 786, 2693, 17108, 519, 10073, 540, 21888, 3652, 538, 519, 2475, 563, 2467, 3100, 547, 581, 7864, 22027, 602, 674, 307, 311, 568, 513, 1907, 2813, 676, 7939, 18793, 267, 543, 621, 1131, 723, 4547, 2640, 2901, 4666, 610, 9800, 269, 1403, 621, 941, 1869, 2661, 267, 674, 307, 311, 1131, 723, 6462, 512, 7660, 7939, 538, 519, 2475, 267, 607, 13653, 6341, 7813, 2006, 17054, 630, 306 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 322, 2086, 2643, 582, 1886, 748, 267, 610, 9647, 582, 1886, 748, 269, 4165, 1667, 616, 6140, 15067, 6652, 1602, 836, 5573, 267, 855, 3006, 454, 684, 529, 1602, 836, 5573, 267, 543, 1930, 1279, 2595, 3373, 269, 2717, 6352, 9274, 1419, 3668, 606, 608, 710, 269, 22500, 568, 1419, 2582, 454, 572, 17660, 269, 7736, 657, 11279, 568, 15534, 538, 519, 5452, 563, 763, 715, 1690, 611, 2297, 593, 513, 2898, 616, 2808, 811, 6508, 267, 610, 4359, 982, 519, 31527, 10420, 527, 19687, 454, 16216, 1597, 5103, 519, 9120, 9065, 776, 1040, 1358, 1397, 1082, 4191, 540, 27536, 5786, 267, 799, 568, 2808, 454, 320, 12343, 540, 10205, 532, 5521, 26853, 267, 543, 4667, 547, 1246, 513, 2489, 7678, 540, 811, 454, 338, 2133, 1242, 9249, 267, 538, 2469, 689, 4195, 267, 547, 15741, 880, 543, 6368, 7286, 5054, 269, 634, 4557, 454, 325, 7056, 625, 1369, 715, 1690, 611, 2297, 616, 3989, 5631, 676, 30462, 4162, 267, 2705, 1614, 454, 325, 7056, 625, 2270, 14311, 7286, 25281, 269, 1452, 1614, 3885, 616, 30142, 573, 8205, 576, 2801, 630, 5228, 519, 454, 31528, 5601, 623, 846, 573, 517, 1070, 595, 2096, 29081, 576, 19687, 630, 5228, 519, 5259, 595, 2096, 29081, 576, 513, 1216, 562, 8233, 610, 683, 516, 573, 267, 606, 454, 3430, 754, 656, 547, 623, 846, 573, 517, 264, 849, 1634, 607, 519, 2494, 622, 324, 6371, 1920, 267, 543, 2098, 8803, 19687, 630, 5228, 519, 5259, 454, 345, 8803, 910, 2495, 575, 2273, 548, 267, 12966, 610, 7997, 264, 849, 1634, 607, 519, 552, 601, 6371, 1920, 269, 8422, 824, 3885, 538, 454, 301, 1690, 611, 2297, 2270, 519, 2947, 15741, 880, 1216, 25281, 5018, 693, 519, 4098, 540, 713, 1957, 602, 616, 454, 338, 2210, 830, 24027, 609, 855, 711, 2808, 547, 581, 694, 698, 337, 13293, 269, 681, 6269, 807, 576, 2801, 267, 519, 667, 3558, 18290, 1920, 2676, 935, 13935, 681, 6269, 807, 269, 8000, 558, 690, 517, 19687, 267, 519, 623, 1180, 15634, 1920, 267, 3568, 8000, 558, 690, 17662, 267, 543, 454, 313, 2335, 7865, 961, 807, 576, 2801, 267, 519, 24125, 539, 623, 1180, 15634, 1920, 267, 3568, 2098, 2335, 7865, 961, 807, 267, 700, 788, 10042, 6511, 543, 1325, 6533, 807, 563, 763, 1920, 30142, 573, 8205, 576, 2801, 3568, 1152, 519, 12593, 30142, 573, 8205, 269, 634, 1920, 595, 2096, 29081, 576, 19687, 454, 935, 13935, 519, 25281, 595, 2096, 29081, 576, 320, 267, 5204, 2590, 18754, 267, 2549, 874, 756, 12994, 267, 16199, 617, 2544, 543, 774, 531, 817, 30705, 1258, 269, 634, 454, 26967, 2098, 739, 5028, 3568, 519, 25281, 2098, 739, 5028, 267, 670, 2678, 9926, 739, 5028, 543, 24695, 961, 2214, 611, 1460, 269, 634, 3885, 454, 303, 657, 573, 8205, 576, 2801, 543, 2098, 8803, 19687, 616, 2808, 547, 581, 811, 5702, 1644, 547, 1142, 824, 982, 789, 454, 732, 547, 595, 2096, 29081, 576, 19687, 269, 595, 2096, 29081, 576, 19687, 568, 538, 1249, 2808, 547, 581, 1034, 5702, 1644, 547, 454, 763, 4162, 602, 5581, 30142, 573, 8205, 576, 2801, 1331, 519, 1739, 269, 1358, 616, 21064, 267, 543, 723, 454, 331, 831, 958, 24609, 539, 17893, 617, 6053, 1212, 9429, 29127, 2345, 269, 570, 2335, 26448, 2281, 1459, 269, 966, 6018, 15985, 956, 454, 732, 6806, 543, 789, 3668, 8043, 4625, 269, 853, 2114, 616, 16245, 269, 27817, 616, 14595, 267, 1253, 747, 3585, 454, 1551, 6548, 267, 543, 14270, 3634, 693, 519, 795, 15802, 540, 1352, 987, 543, 16405, 267, 609, 519, 1352, 987, 1373, 10770, 1310, 454, 1492, 16405, 814, 1044, 8774, 269, 26540, 616, 3501, 267, 5089, 850, 267, 605, 614, 663, 9317, 267, 28920, 559, 3585, 3542, 3990, 454, 663, 4535, 538, 12363, 26389, 269, 634, 26389, 2933, 616, 5705, 2105, 676, 536, 847, 338, 267, 855, 711, 1142, 454, 785, 1339, 8768, 269, 634, 829, 1014, 628, 568, 4336, 899, 610, 15534, 269, 1703, 568, 1152, 835, 15790, 601, 609, 513, 5089, 850, 454, 560, 7950, 269, 4165, 1667, 616, 849, 5089, 850, 269, 634, 14947, 9274, 616, 27129, 748, 267, 543, 3668, 606, 608, 710, 563, 303, 3326, 1588, 568, 28920, 559, 748, 269, 634, 2582, 9065, 776, 568, 9120, 269, 634, 9065, 2544, 568, 22072, 543, 9647, 582, 1886, 748, 563, 763, 4829, 568, 26255, 656, 538, 1216, 269, 23268, 19330, 1439, 657, 11279, 543, 519, 21872, 814, 513, 14694, 28422, 344, 1194, 517, 543, 513, 454, 763, 4162, 602, 5581, 595, 2096, 29081, 576, 19687, 1331, 519, 1739, 269, 634, 29127, 727, 949, 581, 454, 615, 321, 17675, 543, 17893, 617, 658, 610, 29762, 543, 1623, 335, 617, 658, 269, 570, 2335, 26448, 2281, 1459, 269, 26751, 17632, 616, 454, 331, 22326, 538, 782, 8031, 269, 27817, 616, 14595, 610, 6587, 543, 1253, 747, 748, 269, 634, 21828, 1352, 987, 568, 1930, 454, 663, 972, 568, 513, 14270, 2544, 693, 519, 795, 15802, 540, 16405, 543, 1352, 987, 269, 2480, 2297, 616, 1459, 693, 519, 9136, 269, 26540, 454, 732, 796, 21361, 543, 519, 2371, 616, 1019, 4141, 4109, 269, 1358, 3668, 513, 829, 1014, 628, 4625, 543, 616, 2901, 4535, 538, 454, 20791, 524, 2096, 525, 610, 538, 8424, 538, 519, 6978, 4949, 2812, 269, 1703, 616, 1079, 3982, 15790, 1564, 1142, 609, 513, 5094, 2511, 563, 763, 30124, 616, 9120, 543, 519, 1142, 9647, 582, 1886, 748, 9065, 2544, 568, 22072, 1369, 922, 15790, 601, 269, 634, 606, 750, 338, 454, 732, 19610, 543, 2901, 5089, 850, 610, 5176, 5089, 850, 269, 634, 14947, 9274, 3668, 606, 608, 710, 267, 616, 27129, 748, 2676, 663, 909, 547, 561, 6515, 1279, 269, 15724, 1588, 568, 28920, 559, 748, 269, 634, 4829, 568, 2582, 6079, 539, 543, 967, 8811, 529, 1417, 563, 763, 4162, 602, 5581, 2098, 8803, 19687, 1331, 519, 1739, 269, 12518, 616, 21064, 543, 519, 454, 9071, 714, 2345, 949, 581, 16321, 3585, 5394, 2989, 269, 10910, 714, 727, 1212, 10134, 1623, 335, 617, 6053, 538, 670, 2678, 9926, 739, 5028, 543, 454, 3000, 641, 617, 6053, 538, 2098, 739, 5028, 543, 24695, 961, 2214, 611, 1460, 269, 1452, 2371, 3668, 512, 2335, 26448, 2281, 269, 27817, 616, 454, 531, 1181, 622, 543, 4122, 1253, 747, 748, 269, 634, 3762, 616, 14270, 3634, 267, 543, 519, 1352, 987, 949, 581, 1930, 610, 454, 743, 2216, 267, 543, 949, 581, 1166, 6548, 269, 26540, 616, 796, 21361, 543, 11231, 538, 1079, 9343, 593, 835, 2427, 540, 513, 454, 29788, 1084, 539, 838, 611, 1460, 543, 16537, 650, 622, 543, 588, 3133, 622, 5810, 616, 13141, 2216, 1369, 519, 1482, 838, 611, 1460, 4849, 454, 514, 24695, 961, 2214, 611, 1460, 799, 568, 1019, 4141, 4109, 269, 10738, 519, 838, 611, 1460, 1569, 800, 547, 519, 5810, 616, 1507, 454, 321, 847, 3697, 3889, 540, 7164, 24466, 5169, 1572, 30636, 659, 3121, 269, 634, 5810, 616, 454, 1278, 3772, 15877, 513, 829, 1014, 628, 543, 5705, 2056, 536, 847, 338, 269, 623, 626, 650, 622, 5810, 2270, 1079, 15790, 1564, 8678, 454, 1729, 1106, 513, 7623, 796, 559, 22811, 9065, 776, 267, 543, 2270, 1079, 1666, 958, 598, 333, 622, 6163, 269, 634, 9065, 2737, 616, 454, 338, 565, 3202, 543, 9647, 582, 1886, 748, 269, 853, 3133, 622, 5810, 2874, 540, 513, 2582, 5089, 850, 26176, 523, 609, 1079, 606, 750, 338, 563, 303, 18543, 9274, 616, 27129, 748, 543, 26853, 568, 28920, 559, 748, 269, 22500, 568, 2356, 513, 546, 745, 701, 269, 634, 6079, 454, 331, 2931, 1439, 657, 11279, 543, 519, 21872, 814, 513, 1666, 958, 6806, 543, 1352, 987, 532, 28422, 344, 1194, 517, 14084, 538, 513, 9240, 913, 454, 1993, 23762, 3834, 665, 582, 2643, 563, 4263, 713, 1448, 594, 1589, 621, 1131, 581, 3730, 547, 4766, 13713, 1018, 3954, 19134, 690, 630, 3192, 271, 264, 814, 547, 2161, 454, 12671, 694, 698, 14993, 30953, 269, 1261, 24508, 519, 476, 1321, 25281, 2059, 519, 1482, 3515, 811, 610, 1447, 607, 454, 290, 1258, 638, 626, 1281, 269, 1261, 4025, 13661, 31647, 267, 16199, 32166, 543, 774, 531, 817, 807, 538, 519, 1920, 31527, 10420, 527, 19687, 563, 8253, 1454, 3017, 972, 269, 1809, 646, 4422, 593, 547, 1747, 1142, 12593, 538, 513, 5094, 1016, 26967, 269, 634, 454, 22764, 1016, 325, 7056, 625, 646, 17767, 616, 281, 13149, 966, 718, 529, 1676, 1470, 728, 2801, 630, 935, 8877, 13661, 31647, 1070, 774, 531, 817, 328, 1355, 2801, 454, 263, 935, 8877, 774, 531, 817, 807, 1070, 543, 16199, 17232, 1355, 2801, 630, 514, 799, 646, 17337, 519, 12593, 16199, 32166, 909, 2417, 454, 20041, 476, 275, 6810, 1040, 898, 568, 711, 2312, 875, 1082, 824, 25281, 646, 1131, 931, 793, 547, 31527, 10420, 527, 19687, 2676, 20357, 646, 2760, 19528, 1022, 824, 982, 519, 694, 698, 14993, 25281, 646, 568, 7255, 609, 269, 901, 454, 650, 755, 6233, 875, 2352, 621, 568, 547, 960, 609, 3454, 517, 558, 625, 602, 798, 711, 8831, 909, 3564, 519, 1920, 454, 24038, 267, 789, 798, 711, 948, 30431, 622, 3347, 1851, 3677, 2516, 540, 2371, 563, 763, 6967, 25281, 646, 931, 793, 338, 547, 519, 1920, 8000, 558, 690, 17662, 19687, 267, 20803, 1614, 1016, 325, 7056, 625, 912, 303, 657, 573, 517, 1470, 728, 2801, 267, 595, 2096, 29081, 576, 1355, 2801, 267, 543, 2098, 8803, 1355, 2801, 269, 1261, 17337, 519, 12593, 2098, 739, 5028, 883, 547, 476, 273, 454, 11357, 2102, 5028, 269, 901, 568, 849, 711, 971, 513, 27290, 22576, 689, 595, 1258, 638, 626, 267, 519, 2596, 3017, 1373, 454, 7474, 595, 1258, 638, 626, 15109, 519, 4162, 540, 891, 476, 274, 1016, 325, 7056, 625, 547, 581, 2178, 2614, 547, 8237, 454, 29442, 1055, 689, 8000, 558, 690, 17662, 19687, 543, 2285, 873, 2407, 1920, 4567, 269, 11088, 972, 568, 513, 1966, 609, 454, 2254, 6616, 875, 1804, 3954, 19134, 690, 630, 3192, 271, 264, 15109, 519, 3003, 8000, 558, 690, 17662, 19687, 1920, 547, 581, 2676, 26238, 1152, 519, 694, 698, 14993, 25281, 616, 5018, 267, 865, 972, 568, 1100, 1259, 547, 9305, 875, 646, 15109, 873, 454, 22366, 547, 824, 2516, 540, 2371, 563, 291, 523, 19134, 690, 630, 3192, 271, 264, 17767, 476, 5392, 2249, 540, 694, 698, 14993, 267, 476, 1691, 538, 31527, 10420, 527, 19687, 543, 476, 3374, 538, 454, 22025, 558, 690, 17662, 19687, 269, 1261, 30193, 519, 25281, 6306, 689, 1142, 824, 7361, 1759, 593, 27536, 454, 30726, 2524, 269, 1717, 646, 1281, 4063, 602, 621, 568, 1419, 1360, 2352, 547, 3489, 15496, 15013, 454, 1721, 6476, 543, 602, 1082, 10786, 7559, 15013, 616, 25062, 865, 646, 1281, 1331, 930, 3543, 894, 454, 10623, 2137, 538, 1010, 1883, 547, 10646, 519, 25281, 607, 1134, 269, 3371, 5205, 513, 5758, 540, 930, 540, 519, 454, 10972, 1725, 8251, 2934, 585, 1142, 12593, 563, 272, 264, 13661, 31647, 281, 630, 5228, 519, 5259, 679, 1341, 10300, 639, 910, 538, 6070, 994, 293, 3271, 531, 910, 26597, 5810, 538, 5256, 4870, 2803, 12412, 267, 8768, 19512, 1033, 2286, 1354, 15496, 543, 13735, 547, 2627, 267, 14947, 9274, 1863, 454, 309, 1122, 564, 894, 910, 3762, 1253, 747, 748, 267, 15877, 14270, 3121, 267, 476, 272, 476, 272, 270, 275, 547, 476, 272, 476, 274, 270, 275, 4699, 2647, 267, 711, 21630, 883, 454, 7065, 1470, 548, 543, 16405, 282, 29127, 727, 281, 594, 4699, 5394, 267, 4988, 609, 10770, 3109, 22204, 267, 5072, 10260, 899, 563, 273, 264, 774, 531, 817, 807, 281, 630, 5228, 519, 5259, 774, 531, 817, 910, 4262, 994, 293, 3271, 531, 910, 17266, 8768, 538, 5256, 4870, 2803, 12412, 267, 8768, 8774, 1310, 15496, 267, 14947, 9274, 8774, 538, 1395, 559, 6134, 11800, 267, 476, 277, 268, 279, 6163, 5258, 883, 476, 273, 588, 10176, 1092, 538, 4775, 8768, 454, 309, 1122, 564, 894, 910, 3762, 281, 1253, 747, 748, 267, 15877, 14270, 3121, 267, 711, 21630, 883, 4620, 1470, 548, 543, 16405, 267, 476, 272, 270, 273, 476, 272, 4699, 454, 4204, 282, 29127, 727, 281, 476, 272, 270, 273, 4699, 5394, 267, 2028, 3941, 1279, 2595, 3373, 9240, 3437, 267, 4336, 693, 1142, 6843, 563, 274, 264, 16199, 32166, 281, 630, 5228, 519, 5259, 10300, 639, 1341, 943, 10042, 910, 6070, 15962, 994, 293, 3271, 531, 910, 2582, 8768, 538, 5256, 4870, 2803, 12412, 267, 8768, 8774, 1310, 15496, 267, 14947, 538, 1395, 559, 6134, 11800, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 316, 2930, 2319, 602, 649, 1185, 593, 3135, 267, 543, 519, 7366, 540, 8030, 267, 6300, 22286, 3233, 13492, 5443, 543, 5234, 3297, 873, 3034, 12749, 3239, 5491, 281, 8419, 5295, 543, 8752 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3710, 538, 3244, 592, 1074, 607, 2016, 2630, 563, 2080, 267, 519, 2361, 1699, 1403, 543, 5397, 3432, 530, 616, 9738, 693, 476, 271, 543, 2361, 6453, 568, 454, 10852, 22633, 693, 476, 1911, 18699, 676, 513, 6417, 6453, 2707, 563, 17584, 631, 5588, 3036, 26827, 21822, 5058, 6730, 28132, 4629, 299, 274, 454, 5522, 582, 540, 2361, 1699, 912, 763, 546, 322, 5179, 6724, 616, 9411, 3330, 519, 9823, 3684, 3625, 563, 5522, 582, 540, 6186, 1155, 1699, 281, 0, 258, 6742, 532, 1446, 630, 321, 23293, 1062, 2020, 263, 16446, 20526, 689, 6742, 532, 1446, 630, 709, 30592, 1062, 4917, 2690, 519, 2489, 2213, 6310, 1523, 267, 1294, 6742, 532, 1446, 630, 22238, 1464, 3069, 6393, 288, 12004, 532, 1446, 568, 1022, 540, 513, 1362, 540, 25919, 2994, 602, 12090, 689, 543, 941, 2442, 538, 476, 1240, 628, 2540, 5333, 269, 634, 14724, 540, 891, 2994, 729, 2966, 585, 513, 3014, 538, 799, 519, 12464, 2401, 17993, 1010, 7196, 952, 513, 11777, 2501, 909, 9843, 543, 19380, 621, 952, 519, 11777, 2501, 909, 21217, 269, 634, 4640, 1185, 519, 12464, 2401, 5595, 1010, 914, 1310, 1169, 2530, 267, 865, 602, 519, 1101, 3094, 1131, 9156, 782, 3105, 9271, 7132, 3094, 513, 7443, 3160, 547, 519, 3312, 7196, 269, 634, 12004, 532, 1446, 4640, 814, 1044, 4294, 547, 13193, 30592, 607, 1134, 267, 607, 519, 5506, 540, 18644, 2901, 2699, 610, 3109, 568, 2673, 547, 476, 2004, 260, 780, 7712, 513, 12464, 2401, 609, 12808, 5763, 786, 267, 3592, 15983, 267, 5555, 16212, 9843, 267, 519, 12004, 532, 1446, 25919, 4640, 729, 2938, 607, 513, 2386, 3364, 676, 1346, 945, 23647, 621, 269, 2986, 1576, 267, 9039, 540, 519, 12464, 6840, 538, 1249, 22234, 12808, 5763, 267, 543, 519, 12825, 2208, 540, 519, 914, 338, 1131, 5555, 22625, 834, 684, 331, 13806, 257, 12464, 6840, 945, 8359, 547, 946, 519, 12004, 532, 1446, 269, 898, 568, 4061, 513, 1434, 1383, 540, 513, 26626, 321, 3892, 1107, 519, 12464, 2401, 2356, 17993, 513, 1507, 2121, 8007, 267, 3976, 17729, 547, 723, 513, 3280, 4640, 269, 1717, 267, 519, 12464, 2401, 781, 4397, 1871, 1281, 8197, 2611, 4642, 630, 528, 1447, 982, 4642, 264, 1317, 519, 1507, 5506, 602, 646, 786, 7985, 513, 21472, 2530, 4010, 21356, 609, 1010, 4397, 2744, 269, 630, 1103, 513, 25877, 267, 519, 4397, 1871, 568, 2942, 267, 1813, 547, 519, 2777, 781, 6316, 4700, 634, 10171, 540, 21472, 2530, 949, 711, 1256, 581, 1360, 1507, 269, 634, 914, 2450, 14380, 28354, 269, 901, 267, 5916, 609, 519, 1249, 602, 12673, 540, 15654, 9271, 2965, 2049, 811, 1419, 982, 1455, 20932, 5267, 267, 666, 22625, 513, 12464, 2401, 3533, 780, 290, 553, 3626, 25919, 7182, 9004, 946, 540, 519, 12004, 532, 1446, 4640, 780, 1012, 2271, 30698, 2079, 692, 10112, 11167, 602, 519, 3094, 15828, 1601, 4093, 540, 1142, 914, 616, 4830, 543, 1541, 1227, 7856, 4351, 4632, 267, 519, 16069, 942, 814, 13113, 4397, 1871, 16804, 322, 2787, 2877, 316, 901, 1175, 5809, 519, 1739, 4661, 267, 7713, 1946, 519, 25919, 1062, 14543, 281, 4595, 20772, 568, 5276, 267, 519, 4397, 1871, 540, 513, 3126, 540, 914, 338, 568, 1175, 519, 2040, 540, 519, 4397, 1871, 540, 1142, 914, 16804, 706, 321, 1190, 9948, 4595, 538, 971, 3756, 540, 4960, 519, 914, 338, 616, 4830, 267, 519, 20772, 540, 1142, 914, 1281, 711, 4096, 593, 2436, 596, 5892, 4465, 610, 4503, 269, 769, 1034, 25877, 3756, 267, 519, 4397, 1871, 540, 1022, 1367, 914, 568, 2942, 267, 865, 519, 2040, 540, 6266, 540, 2942, 2338, 568, 849, 2141, 2469, 547, 581, 2942, 780, 763, 12004, 532, 1446, 4640, 14543, 1256, 609, 30898, 15903, 16069, 942, 267, 607, 1279, 607, 972, 568, 513, 3970, 593, 15271, 610, 593, 519, 914, 338, 630, 6518, 616, 849, 3020, 538, 2259, 1040, 314, 272, 316, 898, 568, 1152, 609, 30898, 15903, 5763, 267, 914, 338, 543, 942, 602, 519, 12004, 532, 1446, 3587, 513, 10888, 4640, 780, 1012, 19556, 2079, 692, 3080, 5180, 540, 519, 4998, 1242, 12004, 532, 1446, 1510, 942, 610, 5491, 10148, 666, 581, 19775, 28879, 607, 5205, 269, 2913, 519, 11777, 19184, 525, 581, 6719, 676, 513, 5311, 2473, 271, 267, 2473, 272, 267, 2560, 540, 4830, 4351, 4632, 267, 1142, 540, 799, 568, 3160, 547, 670, 609, 5506, 533, 267, 543, 570, 609, 5506, 7117, 815, 476, 272, 1107, 533, 269, 2913, 715, 581, 942, 540, 5920, 540, 519, 1101, 670, 282, 538, 824, 1913, 267, 2473, 271, 267, 2473, 272, 267, 2560, 267, 2473, 301, 1700, 272, 815, 570, 267, 543, 2473, 301, 815, 670, 269, 1403, 519, 11777, 2760, 2982, 670, 267, 649, 2328, 715, 815, 3980, 508, 269, 715, 568, 3294, 513, 4351, 4756, 1317, 621, 5673, 593, 519, 4351, 4093, 540, 519, 11777, 19184, 525, 780, 1103, 519, 1101, 715, 1107, 476, 272, 11777, 19184, 525, 267, 519, 6345, 1739, 519, 12004, 532, 1446, 4640, 19380, 476, 272, 267, 476, 273, 267, 2560, 267, 476, 273, 301, 1700, 272, 4559, 267, 7213, 6819, 513, 2698, 2530, 540, 476, 273, 301, 6567, 476, 272, 269, 2201, 519, 715, 628, 19184, 267, 972, 568, 513, 3094, 540, 476, 273, 301, 4559, 267, 4611, 538, 513, 2121, 2744, 540, 476, 272, 1770, 936, 519, 1101, 715, 19184, 525, 269, 1280, 1383, 267, 15475, 519, 1101, 2185, 11777, 19184, 525, 616, 570, 267, 570, 267, 570, 267, 670, 1818, 715, 815, 476, 274, 269, 634, 914, 30004, 19380, 476, 272, 267, 476, 273, 267, 543, 476, 275, 4559, 593, 519, 1101, 1614, 19184, 525, 267, 585, 513, 2698, 2530, 540, 476, 278, 4559, 267, 1287, 17993, 476, 279, 4559, 593, 519, 8772, 19184, 267, 585, 513, 2121, 2744, 540, 476, 272, 1770, 269, 1306, 1279, 607, 519, 11777, 5555, 2982, 9843, 267, 519, 25919, 6345, 30877, 513, 2744, 780, 1432, 568, 519, 5506, 602, 715, 815, 3980, 508, 267, 1775, 4318, 1421, 602, 519, 11777, 2760, 2982, 9843, 286, 22682, 621, 666, 581, 1100, 3152, 982, 519, 5506, 602, 519, 1101, 737, 19184, 525, 616, 782, 570, 282, 713, 5506, 568, 7117, 330, 269, 28791, 7117, 815, 476, 272, 267, 519, 1152, 1875, 17463, 1297, 1447, 982, 610, 3160, 547, 7117, 330, 585, 782, 2418, 540, 737, 568, 4642, 269, 898, 5205, 602, 715, 568, 13113, 609, 5506, 476, 272, 282, 4061, 609, 5506, 476, 272, 267, 519, 11777, 786, 5555, 1397, 9843, 543, 519, 914, 30004, 786, 8275, 513, 2121, 2744, 540, 476, 272, 1770, 780, 1607, 3959, 540, 519, 4998, 1242, 4528, 540, 519, 12004, 532, 1446, 6589, 585, 519, 16007, 540, 519, 2856, 269, 769, 2259, 267, 519, 4998, 1242, 4528, 666, 1152, 581, 4114, 13846, 267, 585, 1079, 4128, 269, 1133, 15905, 5491, 547, 8804, 7654, 24666, 9271, 1282, 1279, 8255, 540, 21217, 568, 711, 2139, 267, 543, 972, 568, 513, 3970, 547, 519, 1297, 540, 11777, 19184, 525, 602, 666, 581, 5340, 538, 1022, 13113, 1974, 540, 942, 267, 840, 6984, 519, 7872, 540, 4730, 1279, 2614, 547, 7747, 1360, 1279, 8255, 540, 21217, 780, 2026, 606, 1383, 267, 2015, 513, 914, 30004, 609, 606, 2139, 19539, 267, 610, 5491, 267, 540, 1269, 273, 3867, 6246, 4151, 630, 32191, 476, 280, 18265, 264, 4559, 267, 10199, 3368, 519, 2450, 540, 519, 1699, 2475, 3084, 7963, 538, 9489, 269, 2060, 713, 1360, 1804, 19539, 267, 519, 6345, 666, 6488, 547, 6336, 593, 519, 1101, 476, 5655, 19184, 525, 267, 855, 513, 2530, 593, 519, 476, 6246, 6113, 3112, 581, 4988, 269, 634, 5506, 540, 9561, 593, 519, 1101, 476, 5655, 19184, 525, 568, 1269, 336, 3867, 5655, 20954, 799, 786, 581, 513, 1360, 1507, 1297, 8259, 21217, 616, 5176, 1978, 593, 1142, 19184, 269, 769, 519, 4023, 2013, 1141, 1269, 336, 284, 272, 270, 273, 8961, 649, 1223, 2503, 547, 7227, 1945, 593, 519, 1931, 540, 1269, 273, 3867, 5655, 4151, 19184, 525, 1354, 7487, 476, 5655, 15654, 21217, 282, 19184, 532, 11113, 693, 519, 2557, 540, 835, 19184, 829, 2034, 267, 713, 1131, 2154, 5111, 476, 29344, 267, 1822, 1296, 780, 1607, 4528, 540, 519, 3014, 568, 2693, 547, 581, 796, 3430, 847, 633, 547, 1312, 5716, 269, 634, 6345, 609, 519, 19539, 666, 2503, 547, 1294, 513, 2212, 543, 2744, 835, 1770, 593, 3328, 1169, 1079, 19184, 525, 267, 610, 1079, 7643, 267, 7222, 547, 606, 5993, 4747, 540, 827, 476, 4029, 269, 277, 2929, 4559, 2394, 9568, 630, 5655, 21217, 264, 4386, 269, 901, 568, 1152, 513, 476, 271, 269, 19740, 277, 2600, 2132, 593, 519, 19539, 693, 1981, 269, 634, 824, 6345, 666, 1413, 4464, 547, 11931, 9271, 540, 476, 4029, 269, 277, 2929, 4559, 829, 1032, 2394, 18644, 606, 11212, 1804, 13544, 13607, 267, 4440, 538, 1945, 899, 476, 29344, 267, 1822, 1296, 267, 513, 1974, 2484, 3476, 982, 1022, 9304, 814, 2943, 11478, 269, 1403, 1269, 336, 3436, 476, 272, 270, 273, 8961, 713, 4528, 540, 519, 3014, 568, 849, 30369, 547, 519, 1101, 6345, 538, 519, 2631, 602, 621, 1131, 723, 2942, 4397, 3094, 11789, 780, 763, 791, 1601, 2225, 540, 10888, 936, 519, 1279, 2196, 267, 2016, 513, 3970, 540, 519, 2450, 540, 914, 338, 610, 513, 3970, 538, 519, 2450, 540, 835, 781, 4871, 2651, 610, 1899, 540, 5491, 267, 568, 8810, 676, 519, 18593, 16069, 11532, 16804, 272, 6540, 1012, 19556, 2079, 540, 513, 2582, 5180, 692, 4131, 835, 5180, 581, 3989, 607, 513, 5311, 540, 15654, 9271, 4553, 676, 2901, 513, 3094, 267, 610, 28153, 540, 519, 12464, 2401, 269, 2991, 513, 3094, 267, 519, 12464, 2401, 834, 637, 1115, 257, 543, 568, 2808, 547, 723, 3323, 513, 1007, 5180, 269, 589, 6024, 5311, 540, 12004, 532, 1446, 914, 338, 666, 3976, 581, 15652, 539, 883, 513, 5311, 540, 4830, 21448, 269, 11374, 568, 606, 2079, 540, 519, 4397, 1871, 540, 835, 5180, 780, 4131, 7117, 581, 519, 5506, 540, 9561, 630, 324, 3052, 269, 585, 1977, 5595, 25179, 13193, 30592, 267, 621, 568, 476, 1015, 270, 866, 585, 513, 914, 593, 3109, 610, 2699, 1040, 2913, 645, 581, 519, 2179, 540, 519, 3355, 914, 269, 2913, 562, 581, 519, 13113, 1297, 540, 914, 338, 519, 12464, 2401, 666, 6488, 547, 6336, 780, 763, 5506, 602, 519, 12464, 2401, 786, 6336, 782, 562, 914, 338, 568, 7117, 333, 269, 1879, 782, 914, 338, 6336, 267, 519, 2698, 2530, 568, 692, 7445, 8999, 3709, 328, 284, 272, 11892, 333, 645, 1422, 10383, 476, 273, 3867, 328, 268, 272, 348, 815, 645, 630, 273, 18898, 910, 476, 272, 22491, 763, 5506, 519, 12464, 2401, 1281, 711, 6336, 782, 562, 914, 338, 568, 476, 272, 1109, 6629, 1109, 336, 333, 269, 769, 782, 824, 2665, 267, 519, 12464, 2401, 17993, 519, 3355, 914, 630, 289, 4700, 4935, 267, 519, 4397, 7443, 829, 5180, 568, 692, 259, 263, 272, 268, 336, 18898, 264, 1422, 10383, 645, 910, 7117, 18898, 1422, 10383, 645, 630, 273, 18898, 910, 476, 272, 264, 815, 645, 630, 272, 910, 630, 273, 336, 8203, 333, 22491, 12640, 6866, 7117, 1109, 285, 1109, 272, 270, 273, 267, 519, 4082, 476, 272, 1109, 6629, 1109, 263, 273, 336, 264, 333, 1109, 283, 1109, 271, 585, 782, 562, 1109, 285, 1109, 271, 269, 4935, 267, 585, 782, 3756, 1141, 513, 12464, 2401, 568, 811, 2693, 547, 6336, 982, 547, 3094, 1022, 2016, 914, 267, 602, 12464, 2401, 568, 4397, 547, 6336, 2724, 267, 593, 3328, 267, 1142, 5180, 269, 23207, 519, 2450, 540, 530, 4526, 585, 1142, 5180, 829, 519, 12004, 532, 1446, 1062, 1152, 5713, 547, 2333, 519, 3328, 2530, 780, 22428, 513, 12464, 2401, 814, 513, 476, 8287, 1770, 13989, 4871, 2651, 269, 634, 12464, 2401, 1522, 914, 476, 272, 1770, 593, 519, 1101, 8095, 269, 2201, 1142, 2530, 267, 519, 914, 568, 23060, 269, 4935, 267, 2921, 737, 607, 519, 1297, 540, 18631, 15654, 9271, 267, 519, 6345, 786, 2141, 914, 476, 273, 330, 4559, 780, 4415, 513, 3094, 593, 1022, 2016, 8095, 267, 519, 12464, 2401, 786, 2121, 476, 272, 1770, 936, 519, 2698, 2179, 13230, 1042, 547, 602, 1448, 269, 4495, 713, 3094, 568, 6913, 267, 519, 12464, 2401, 1964, 11301, 519, 1062, 609, 513, 476, 272, 1770, 914, 780, 4415, 9271, 593, 782, 540, 519, 1101, 3670, 30809, 267, 519, 12464, 2401, 19380, 513, 2698, 540, 476, 8287, 4559, 269, 901, 9688, 338, 519, 4871, 2651, 543, 519, 12004, 532, 1446, 3112, 581, 4797 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18913, 1689, 538, 519, 3259, 540, 519, 6316, 269, 4475, 267, 538, 1931, 547, 1689, 513, 6906, 779, 3337, 267, 606, 6316, 1590, 12900, 269, 3798, 2471, 666, 581, 1500, 1454, 6793, 982, 4296, 3034, 1432, 568, 513, 15279, 6782, 538, 1483, 1272, 888, 295, 1410, 6782, 5546, 538, 1483, 1272, 286, 1261, 343, 30368, 616, 3335, 3670, 2786, 5011, 540, 3160, 3259, 269, 1411, 949, 1294, 6777, 4148, 1389, 538, 602, 4806, 269, 2142, 12317, 1161, 267, 4672, 14848, 616, 824, 1455, 20825, 540, 15279, 6782, 538, 1483, 1272, 563, 1432, 568, 519, 1034, 2241, 3337, 888, 763, 4009, 267, 5858, 267, 543, 6906, 616, 519, 1034, 2596, 5546, 593, 3047, 267, 5885, 3889, 1312, 10991, 543, 2067, 563, 1432, 3337, 666, 16641, 519, 1034, 2604, 888, 28256, 4120, 763, 16999, 3337, 585, 5706, 532, 1164, 12503, 568, 513, 6906, 563, 3963, 568, 513, 15279, 6782, 519, 1034, 3608, 3337, 888, 11039, 267, 607, 621, 7140, 856, 267, 621, 2731, 568, 782, 827, 2979, 269, 589, 15279, 6782, 568, 519, 3337, 602, 1655, 25361, 513, 7077, 609, 3160, 2450, 4559, 543, 3762, 1100, 24906, 2230, 269, 1261, 343, 21192, 24386, 849, 24024, 519, 15943, 585, 513, 2016, 1858, 1317, 540, 922, 476, 6344, 24266, 7285, 269, 0, 24281, 27647, 545, 2281, 454, 267, 519, 30932, 568, 519, 2318, 15393, 267, 6466, 519, 606, 1712, 568, 519, 2942, 15393, 563, 17357, 12509, 3156, 616, 27647, 545, 1591, 454, 1993, 835, 1383, 563, 3519, 14846, 9245, 8596, 630, 5141, 1046, 19204, 543, 8895, 7079, 545, 19204, 454, 264, 666, 581, 10032, 676, 1164, 2157, 540, 7250, 30423, 538, 519, 6908, 563, 2026, 609, 9697, 1125, 267, 1840, 540, 519, 2961, 321, 3080, 19605, 547, 513, 29194, 5932, 513, 12809, 27647, 545, 1591, 454, 7474, 14014, 519, 14041, 563, 289, 5407, 1826, 25914, 728, 1543, 693, 5374, 3178, 630, 9077, 536, 5407, 264, 772, 660, 8972, 476, 7742, 544, 288, 270, 476, 4335, 544, 288, 270, 476, 16020, 544, 288, 270, 1496, 332, 4732, 1575, 269, 273, 316, 1496, 332, 4732, 1575, 269, 273, 316, 1496, 332, 4732, 1575, 269, 273, 316, 744, 15425, 476, 273, 269, 10844, 476, 273, 269, 1626, 476, 273, 269, 5400, 476, 272, 269, 11152, 476, 2568, 260, 717, 294, 7034, 476, 274, 269, 6187, 476, 272, 269, 11463, 476, 272, 269, 10019, 476, 272, 269, 7830, 7305, 476, 275, 281, 19105, 540, 2527, 2530, 540, 5374, 16109, 689, 14809, 1310, 27647, 545, 1591, 454, 3000, 13501, 4470, 593, 519, 4294, 1699, 5860, 543, 536, 5407, 1826, 563, 763, 27647, 545, 1591, 454, 514, 6252, 609, 519, 4853, 1591, 1210, 519, 824, 5122, 6724, 540, 2324, 630, 14179, 5653, 543, 1699, 5860, 264, 734, 1492, 2179, 540, 23386, 3144, 998, 676, 1790, 817, 5547, 568, 5393, 1507, 3379, 547, 519, 2179, 540, 23386, 538, 519, 4853, 8602, 799, 2636, 519, 960, 609, 824, 1184, 6724, 538, 1591, 982, 1346, 538, 4853, 1591, 563, 19350, 972, 568, 513, 8047, 27647, 545, 1591, 454, 1721, 519, 11179, 1353, 540, 891, 1079, 7306, 1510, 14443, 532, 519, 27647, 545, 1184, 543, 1510, 9427, 519, 30932, 689, 27647, 545, 8602, 267, 4137, 476, 272, 563, 31553, 10607, 519, 700, 11266, 6482, 2773, 609, 6404, 2095, 2783, 563, 2690, 519, 8097, 6482, 540, 519, 19650, 1761, 267, 513, 4999, 540, 1079, 13737, 22809, 267, 8108, 513, 27647, 545, 1591, 454, 267, 568, 1031, 563, 31367, 9075, 267, 849, 1634, 607, 27647, 545, 2281, 454, 267, 616, 6353, 676, 513, 1164, 1379, 5860, 734, 7474, 568, 267, 519, 5223, 1063, 519, 1379, 540, 519, 6383, 1699, 543, 519, 4320, 540, 519, 6007, 563, 16449, 519, 3584, 616, 519, 1101, 1876, 540, 32721, 267, 519, 32721, 540, 23399, 543, 1930, 1949, 267, 519, 28138, 3830, 540, 1533, 267, 519, 32721, 540, 7252, 267, 543, 27647, 545, 2281, 454, 663, 30402, 12067, 4229, 563, 763, 2627, 12889, 538, 519, 15098, 3310, 519, 14809, 2623, 543, 3028, 10715, 540, 519, 13673, 15098, 4929, 2653, 1569, 547, 519, 14041, 15301, 1556, 1070, 630, 3374, 264, 5015, 267, 2094, 519, 7720, 306, 273, 5536, 723, 2370, 19428, 630, 273, 269, 6021, 1535, 1496, 1015, 16553, 11607, 275, 316, 1496, 2129, 332, 16553, 11607, 272, 316, 524, 314, 332, 16553, 11607, 272, 25818, 630, 3607, 264, 2199, 27647, 545, 2281, 454, 22238, 2406, 941, 2813, 593, 519, 2627, 540, 519, 15098, 538, 799, 519, 7720, 314, 306, 16553, 269, 273, 316, 5536, 957, 607, 18216, 21288, 4609, 538, 4334, 609, 519, 13673, 5119, 602, 6411, 607, 606, 606, 21288, 3135, 15301, 4097, 264, 1452, 2199, 27647, 545, 2281, 454, 514, 519, 13673, 5336, 334, 314, 306, 16553, 269, 273, 316, 15098, 666, 581, 1776, 2014, 585, 519, 2539, 14809, 4187, 540, 713, 15098, 538, 6476, 609, 519, 13673, 15098, 269, 0, 763, 11882, 5211, 9503, 568, 835, 540, 519, 1034, 8185, 4853, 1242, 30520, 538, 519, 2136, 2276, 269, 1306, 513, 1267, 267, 519, 11882, 5211, 267, 3933, 7541, 3559, 320, 267, 4053, 671, 978, 308, 15238, 267, 20855, 1177, 3873, 267, 543, 824, 29815, 2456, 1419, 1995, 4057, 1216, 2298, 269, 2290, 2268, 540, 4057, 1216, 2298, 568, 1970, 15702, 5135, 9830, 1282, 1970, 2095, 5712, 269, 4107, 540, 519, 8933, 538, 519, 11882, 5211, 9503, 723, 1044, 9927, 883, 4044, 762, 25825, 998, 513, 3126, 540, 25437, 543, 21394, 269, 634, 1863, 13576, 5757, 568, 1631, 513, 3126, 540, 20115, 269, 2372, 625, 1417, 20115, 798, 711, 3895, 519, 4483, 540, 5135, 883, 519, 1216, 1813, 547, 1970, 31285, 2157, 269, 18641, 267, 519, 17453, 3889, 2933, 949, 2965, 581, 513, 1883, 2499, 523, 349, 538, 5355, 519, 1216, 2298, 1317, 540, 519, 1164, 31285, 2157, 6383, 693, 891, 3889, 269, 634, 3483, 540, 713, 1353, 568, 547, 8495, 519, 946, 540, 2481, 19235, 543, 19558, 1077, 19698, 585, 519, 1840, 540, 5135, 547, 519, 1216, 269, 634, 2179, 540, 5135, 3773, 547, 519, 1216, 9775, 609, 519, 7293, 4162, 267, 10766, 6679, 267, 543, 17453, 2175, 269, 5811, 540, 519, 1034, 2487, 1239, 3144, 538, 476, 1960, 279, 267, 2059, 609, 1239, 9661, 523, 538, 3105, 1296, 267, 2982, 3466, 585, 5135, 4483, 693, 10766, 521, 650, 3889, 269, 19835, 4255, 5815, 602, 513, 1164, 2766, 4248, 21477, 10885, 540, 519, 521, 650, 2636, 8766, 5135, 4483, 547, 2049, 2394, 606, 5667, 889, 1067, 3022, 17453, 795, 308, 331, 16810, 3029, 269, 634, 4483, 4398, 786, 2333, 2394, 513, 12366, 308, 331, 308, 4483, 568, 6603, 269, 15332, 713, 2565, 10766, 6679, 267, 519, 4483, 4398, 786, 1377, 856, 610, 949, 1256, 7771, 269, 1403, 519, 21477, 10885, 593, 519, 521, 650, 568, 1970, 267, 513, 17453, 795, 308, 331, 12639, 666, 1106, 693, 1360, 1970, 10766, 5468, 269, 769, 713, 2013, 267, 519, 4483, 31931, 786, 2333, 547, 513, 12366, 308, 331, 308, 693, 519, 2565, 10766, 6679, 269, 2991, 713, 10766, 4259, 568, 6603, 267, 519, 4483, 31931, 786, 1377, 856, 610, 7771, 269, 1855, 281, 282, 1206, 941, 849, 13526, 517, 2740, 593, 19558, 1077, 19698, 609, 519, 8908, 8546, 2011, 5887, 8118, 269, 5811, 540, 782, 4609, 6920, 602, 5135, 4483, 568, 30050, 1813, 547, 13385, 32137, 2212, 269, 634, 8766, 27164, 7257, 10325, 568, 711, 5078, 585, 9870, 5135, 2157, 269, 589, 811, 2143, 1353, 540, 27164, 7257, 3681, 568, 2877, 547, 6318, 5135, 2157, 998, 3289, 8527, 340, 296, 262, 321, 710, 5887, 532, 267, 769, 3932, 267, 519, 575, 730, 521, 650, 3889, 1397, 9153, 607, 513, 1907, 585, 5355, 1216, 2298, 1369, 519, 5757, 1062, 676, 9870, 5135, 2157, 267, 952, 13234, 896, 2673, 3562, 9953, 3065, 17453, 2175, 585, 10766, 513, 3130, 563, 347, 24314, 1893, 1475, 12626, 630, 4785, 10245, 347, 13750, 1475, 13775, 910, 4924, 476, 1960, 280, 347, 0, 273, 7160, 540, 31538, 640, 538, 4654, 543, 1893, 1353, 1336, 538, 519, 17048, 563, 4462, 6134, 640, 538, 4654, 543, 1893, 1353, 454, 27144, 30129, 13879, 454, 347, 13750, 618, 1475, 2421, 681, 6993, 269, 13879, 2807, 2008, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 643, 267, 476, 5379, 533, 269, 6902, 2008, 31871, 540, 9664, 1475, 5379, 2008, 288, 23008, 2065, 6733, 693, 5053, 19932, 10705, 4147, 1881, 676, 17959, 267, 12856, 269, 9523, 519, 1353, 540, 1893, 269, 1306, 891, 1806, 1397, 267, 8059, 1235, 666, 19665, 4654, 2687, 547, 741, 1686, 267, 607, 1134, 607, 2687, 547, 519, 1893, 781, 2497, 543, 2687, 547, 875, 1913, 616, 4646, 269, 1141, 20844, 7534, 568, 519, 1641, 267, 682, 324, 630, 1348, 338, 264, 568, 519, 8231, 543, 8191, 281, 717, 14283, 661, 5341, 11420, 269, 1403, 972, 568, 1100, 3638, 772, 294, 267, 1287, 835, 3112, 9029, 547, 519, 31538, 640, 20232, 269, 1403, 519, 1007, 932, 1682, 5652, 568, 1318, 267, 1287, 4654, 798, 711, 2671, 2694, 267, 543, 1142, 1893, 568, 1732, 4330, 538, 922, 1378, 2474, 2864, 982, 538, 2474, 540, 2035, 602, 941, 2919, 585, 930, 824, 1893, 269, 22108, 269, 22823, 267, 4460, 595, 269, 634, 8444, 540, 1893, 269, 1715, 3840, 281, 9978, 563, 763, 28980, 540, 519, 5678, 543, 4804, 538, 519, 4139, 2160, 281, 3245, 2296, 31538, 640, 547, 16844, 543, 5754, 1962, 7190, 676, 28564, 2776, 529, 2401, 693, 4446, 5886, 269, 5192, 17676, 15562, 7709, 303, 5058, 593, 2107, 10249, 540, 1269, 3374, 266, 21436, 1344, 593, 5046, 645, 261, 301, 4934, 2280, 16840, 1222, 30451, 717, 3424, 8191, 281, 28564, 2776, 529, 2401, 269, 2755, 649, 798, 711, 723, 519, 942, 547, 1353, 519, 5444, 11530, 625, 811, 5402, 267, 594, 666, 26924, 596, 602, 789, 616, 513, 1360, 3638, 1888, 585, 1353, 269, 594, 1131, 9244, 4363, 3627, 590, 841, 5069, 518, 779, 1433, 476, 7906, 547, 4217, 596, 538, 707, 1353, 540, 519, 5444, 11530, 625, 540, 19606, 267, 543, 540, 519, 19999, 622, 1276, 607, 513, 2898, 269, 634, 4762, 4288, 540, 19932, 693, 645, 8475, 19606, 454, 23458, 267, 5295, 543, 16677, 698, 9609, 281, 645, 13308, 5753, 538, 519, 9061, 13933, 910, 661, 1504, 2854, 676, 4515, 269, 13343, 595, 17026, 1231, 269, 3367, 713, 1433, 1210, 5616, 7591, 7734, 813, 593, 707, 7193, 267, 543, 5514, 267, 25515, 3457, 269, 8281, 585, 22356, 2542, 267, 5031, 267, 1433, 5658, 610, 1491, 4967, 1247, 596, 1224, 5678, 267, 5295, 543, 16677, 698, 9609, 281, 645, 13308, 5753, 538, 519, 9061, 13933, 269, 22963, 568, 855, 513, 13172, 540, 519, 1390, 2717, 2106, 14198, 1893, 267, 799, 568, 9275, 609, 9058, 7833, 640, 936, 782, 519, 3875, 10195, 540, 519, 7414, 7909, 1063, 1715, 10215, 543, 16127, 269, 11088, 267, 519, 2717, 2106, 14198, 1893, 568, 855, 835, 4759, 540, 602, 2647, 1606, 7331, 1920, 540, 4654, 267, 1634, 607, 519, 30017, 334, 6261, 565, 2106, 14198, 610, 7909, 545, 1920, 267, 799, 11498, 8191, 281, 31240, 12541, 12448, 338, 563, 306, 13824, 1216, 7503, 563, 11328, 574, 1867, 540, 519, 17434, 4427, 1260, 2466, 6590, 24356, 519, 769, 1417, 1161, 543, 26861, 8163, 674, 5217, 24371, 1879, 10435, 19715, 5463, 2888, 538, 9098, 547, 519, 17135, 543, 519, 4937, 13909, 540, 9098, 563, 23024, 14939, 2079, 540, 522, 539, 9047, 538, 519, 13855, 454, 15307, 615, 267, 610, 267, 18321, 15112, 11244, 454, 306, 31723, 4359, 7194, 3755, 3391, 454, 14140, 11407, 593, 513, 1007, 1062, 540, 2486, 454, 763, 1614, 2370, 14918, 454, 310, 904, 543, 1797, 540, 10647, 513, 5870, 454, 306, 7964, 6261, 516, 3685, 1299, 6513, 540, 26465, 545, 20070, 3753, 454, 274, 269, 31538, 640, 543, 4763, 538, 13093, 1108, 269, 853, 758, 4141, 779, 20465, 1395, 1748, 7000, 602, 4191, 616, 711, 11455, 17267, 267, 855, 616, 16922, 540, 513, 13113, 1305, 540, 15768, 267, 2495, 1652, 2036, 13541, 658, 2609, 4534, 602, 789, 4865, 519, 2596, 1374, 4183, 540, 1480, 1893, 1572, 546, 7081, 540, 1273, 614, 940, 630, 295, 1442, 9116, 15426, 1805, 758, 4141, 779, 960, 4547, 1129, 4654, 883, 519, 5858, 540, 4654, 17709, 540, 24764, 676, 281, 16179, 31538, 640, 543, 16844, 538, 5678, 8889, 281, 6820, 21126, 630, 11372, 13308, 25198, 3883, 476, 2567, 3367, 28632, 15188, 17352, 910, 31538, 640, 543, 16844, 538, 5678, 8889, 568, 513, 10950, 1840, 547, 519, 1353, 540, 1893, 3609, 543, 4058, 609, 513, 7059, 7848, 540, 7418, 602, 19597, 622, 267, 14969, 543, 3048, 622, 1382, 593, 1134, 8153, 607, 1134, 607, 5063, 6932 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 678, 543, 12334, 524, 2433, 269, 901, 1505, 568, 1759, 593, 519, 8343, 602, 513, 1448, 609, 513, 8880, 17242, 568, 513, 2199, 5021, 952, 621, 568, 851, 540, 513, 6677, 1511, 1524, 10126, 267, 543, 513, 5934, 952, 621, 568, 851, 540, 513, 6677, 1511, 909, 269, 901, 1131, 581, 1945, 4988, 538, 707, 2836, 322, 476, 272, 1362, 610, 2228, 1576, 267, 5473, 1152, 3252, 602, 4308, 609, 2582, 4632, 267, 585, 1383, 267, 535, 3287, 1040, 634, 5822, 14216, 29719, 1879, 649, 1491, 519, 12045, 540, 513, 1599, 535, 3287, 1070, 649, 1205, 513, 6508, 1599, 535, 271, 3287, 1070, 1572, 519, 8174, 320, 2389, 633, 610, 19509, 337, 560, 12045, 269, 898, 28352, 930, 3252, 602, 1867, 7194, 269, 1677, 946, 519, 5690, 267, 649, 1491, 606, 3355, 7058, 693, 519, 5021, 1871, 267, 4399, 15883, 318, 271, 259, 630, 1492, 744, 11862, 9936, 9193, 1522, 581, 513, 10257, 7058, 1070, 1287, 269, 594, 1131, 2503, 971, 513, 1599, 547, 581, 2139, 538, 11885, 267, 855, 666, 1405, 1265, 621, 269, 634, 3689, 14216, 29719, 4530, 19270, 822, 640, 19270, 822, 640, 267, 18745, 540, 5606, 3005, 267, 543, 519, 5822, 14216, 29719, 4530, 634, 5822, 14216, 29719, 4530, 10439, 654, 1905, 5346, 1473, 9057, 3729, 22553, 543, 700, 262, 295, 2214, 1388, 781, 14329, 1548, 1281, 4399, 2765, 346, 271, 2410, 271, 4151, 3160, 286, 6201, 1473, 9057, 3729, 20212, 1473, 9057, 3729, 25024, 8422, 12411, 687, 540, 700, 262, 295, 2214, 1388, 781, 14329, 19577, 338, 26659, 11150, 6271, 269, 589, 2034, 1931, 9864, 12045, 568, 3274, 513, 9864, 12045, 3144, 547, 513, 2034, 1931, 609, 2463, 547, 519, 4756, 596, 616, 1114, 11868, 547, 269, 3502, 1152, 269, 2353, 621, 1797, 547, 1491, 519, 2034, 12045, 568, 547, 1491, 519, 12045, 540, 513, 1599, 7466, 269, 634, 1101, 12045, 540, 513, 1599, 568, 519, 9386, 540, 519, 17242, 1899, 585, 1022, 1448, 593, 519, 1599, 256, 4475, 267, 621, 6645, 950, 519, 1599, 568, 2810, 267, 13302, 610, 1141, 621, 814, 513, 8880, 17242, 256, 269, 634, 9386, 540, 713, 17242, 1899, 568, 519, 1871, 540, 519, 12045, 540, 1535, 476, 273, 693, 1535, 476, 271, 269, 3767, 1577, 781, 1265, 519, 1871, 540, 938, 12045, 1599, 585, 513, 2016, 1871, 540, 1535, 269, 1411, 666, 1265, 7222, 5124, 6388, 1934, 2433, 5124, 8943, 269, 535, 1127, 323, 281, 10581, 267, 26998, 6783, 267, 3337, 630, 333, 264, 634, 1871, 540, 3980, 480, 674, 3980, 480, 1535, 795, 693, 519, 1448, 1535, 267, 585, 795, 815, 476, 272, 267, 476, 273, 267, 2560, 267, 562, 269, 586, 630, 343, 3620, 264, 910, 476, 273, 265, 344, 630, 343, 264, 1341, 586, 630, 343, 266, 327, 264, 586, 5257, 630, 343, 264, 815, 476, 10900, 734, 554, 476, 273, 269, 1715, 476, 1708, 273, 667, 17690, 10548, 476, 5611, 271, 570, 12976, 27519, 267, 5453, 1564, 1107, 634, 4258, 11803, 18234, 5964, 267, 1519, 11943, 538, 2034, 4087, 3330, 519, 4505, 513, 12675, 1974, 267, 1185, 1044, 546, 996, 1258, 539, 538, 4747, 269, 3689, 267, 1491, 519, 9864, 269, 2353, 519, 3009, 568, 513, 2582, 9226, 9074, 269, 1924, 596, 666, 1265, 519, 12045, 540, 606, 13250, 1599, 676, 1175, 13868, 519, 4756, 538, 519, 2076, 8681, 267, 607, 7074, 538, 519, 5822, 27284, 14497, 540, 20145, 267, 1657, 269, 634, 2034, 9936, 1058, 9949, 547, 476, 272, 267, 607, 594, 1131, 2503, 621, 547, 581, 519, 1455, 2013, 269, 14216, 643, 2510, 268, 8404, 19296, 1419, 991, 547, 5173, 16755, 5111, 267, 2901, 689, 1239, 610, 689, 3252, 585, 799, 2241, 25107, 3029, 540, 519, 16755, 1810, 1406, 2291, 269, 19336, 2450, 630, 275, 265, 272, 1040, 7046, 20302, 568, 519, 1034, 3102, 1930, 21299, 7732, 585, 2780, 5075, 269, 11410, 25544, 1104, 1133, 21725, 306, 680, 710, 586, 5334, 680, 815, 1133, 21725, 306, 680, 710, 3287, 11971, 29679, 284, 271, 267, 330, 284, 275, 264, 12301, 269, 1677, 17412, 267, 585, 21335, 540, 476, 275, 555, 4110, 543, 2630, 15545, 1284, 1865, 519, 3448, 26350, 540, 10338, 543, 1101, 268, 543, 2034, 268, 1457, 29719, 26034, 585, 519, 21800, 3067, 2305, 540, 21536, 597, 889, 514, 543, 24562, 267, 543, 6218, 2582, 19985, 1079, 19985, 543, 269, 14216, 29719, 540, 11201, 20534, 281, 6726, 566, 540, 269, 19336, 2450, 630, 275, 265, 272, 1040, 2142, 2386, 547, 1104, 519, 10699, 545, 306, 680, 710, 1599, 609, 269, 634, 910, 17247, 568, 11609, 2630, 15545, 12045, 382, 370, 1085, 27251, 269, 634, 1599, 666, 581, 10920, 12723, 883, 922, 1079, 5057, 3252, 281, 554, 630, 343, 264, 815, 630, 326, 630, 343, 4297, 317, 273, 543, 575, 630, 343, 264, 815, 3813, 630, 343, 1040, 1280, 1383, 267, 1491, 513, 1219, 21124, 5569, 896, 8082, 269, 901, 1576, 786, 581, 6026, 1210, 519, 9226, 5752, 1893, 269, 570, 16777, 20219, 23727, 5508, 18904, 7838, 3201, 700, 8104, 2752, 18952, 5960, 814, 519, 1297, 1572, 552, 607, 621, 3490, 282, 621, 568, 519, 1062, 649, 946, 538, 782, 7811, 960, 269, 476, 273, 526, 12045, 19406, 630, 984, 22633, 676, 13177, 9971, 264, 20976, 1493, 676, 7269, 827, 2433, 630, 274, 264, 20976, 1493, 676, 7269, 827, 2433, 630, 275, 264, 5410, 26169, 985, 269, 798, 527, 3890, 1924, 267, 519, 1101, 3364, 267, 649, 1590, 798, 568, 1104, 13507, 543, 14216, 29719, 689, 519, 1623, 6853, 9074, 269, 634, 2034, 9936, 1058, 9949, 547, 476, 272, 267, 607, 594, 1131, 2503, 621, 547, 581, 519, 1455, 2013, 269, 14171, 519, 2034, 19195, 12045, 540, 1269, 325, 3287, 7751, 1797, 649, 1413, 693, 875, 1142, 476, 603, 9864, 12045, 267, 4399, 2765, 3189, 23169, 535, 7346, 23169, 1535, 10983, 4151, 5540, 782, 824, 9864, 16755, 269, 634, 5021, 538, 519, 1101, 12045, 7455, 1590, 1869, 581, 6059, 11617, 269, 6258, 519, 2856, 540, 14216, 29719, 543, 946, 621, 547, 4194, 2042, 269, 634, 5124, 3009, 2630, 21410, 519, 12045, 540, 713, 1599, 269, 1280, 1383, 267, 10231, 568, 519, 12045, 540, 3432, 269, 898, 568, 6697, 547, 2921, 519, 15243, 1014, 540, 1269, 325, 685, 263, 343, 30879, 1879, 596, 616, 2921, 519, 12045, 540, 519, 12045, 713, 568, 1572, 519, 834, 16149, 12045, 269, 7316, 834, 338, 257, 568, 519, 2990, 693, 1022, 942, 834, 339, 257, 2382, 656, 10389, 4813, 10358, 642, 6025, 264, 815, 521, 21948, 339, 264, 513, 6025, 264, 815, 642, 21948, 339, 264, 815, 521, 257, 263, 339, 264, 7316, 642, 6025, 264, 568, 519, 1101, 12045, 540, 519, 2990, 1599, 543, 513, 6025, 264, 568, 519, 1101, 12045, 540, 519, 6991, 1599, 269, 594, 2813, 513, 1007, 9226, 1599, 602, 1131, 1491, 1079, 4164, 757, 269, 2913, 781, 2328, 519, 1931, 540, 16755, 1210, 519, 269, 769, 11810, 519, 12045, 568, 513, 1907, 602, 568, 1031, 538, 513, 3099, 540, 2081, 269, 769, 20145, 267, 513, 2034, 12045, 568, 3274, 513, 12045, 540, 513, 12045, 269, 1548, 568, 15285, 27085, 827, 519, 3113, 540, 513, 1599, 602, 519, 2034, 16755, 666, 2995, 721, 269, 7151, 476, 272, 281, 4855, 519, 1101, 267, 2034, 267, 543, 3791, 16755, 540, 535, 630, 1535, 3738, 815, 476, 276, 1535, 476, 275, 6567, 476, 274, 343, 476, 274, 1341, 476, 278, 343, 476, 273, 6567, 476, 280, 343, 1341, 476, 273, 269, 3244, 6819, 606, 8723, 11186, 3830, 609, 2233, 13695, 269, 623, 1015, 318, 4629, 5588, 7024, 513, 3597, 585, 1966, 476, 1015, 269, 12045, 382, 370, 1085, 27251, 269, 1703, 616, 1114, 9753, 540, 16755, 269, 634, 1576, 849, 11414, 2596, 5124, 5752, 267, 799, 786, 581, 1031, 538, 519, 2034, 543, 3791, 6030, 2519, 593, 4052, 3156, 540, 1239, 2257, 543, 3684, 1565, 538, 8804, 267, 607, 1134, 607, 1373, 513, 3407, 3318, 5578, 3622, 269, 2201, 519, 2451, 2427, 649, 723, 513, 1599, 609, 513, 14263, 1129, 538, 4395, 540, 621, 630, 663, 930, 14170, 1040, 3765, 322, 8174, 520, 269, 2060, 519, 948, 540, 1623, 6853, 269, 1306, 606, 1383, 267, 1577, 781, 2161, 649, 1616, 547, 1491, 519, 9864, 12045, 540, 519, 1599, 267, 535, 3287, 6661, 1535, 476, 274, 586, 476, 276, 267, 609, 2463, 547, 1535, 267, 547, 519, 476, 273, 526, 1931, 269, 14216, 29719, 568, 519, 1271, 1907, 538, 11810, 547, 1265, 606, 31208, 2572, 2711, 2557, 540, 1689, 540, 513, 1599, 609, 2463, 547, 922, 835, 540, 519, 4830, 4756, 269, 6201, 281, 3040, 18289, 11191, 267, 971, 607, 538, 8184, 1138, 22399, 6061, 1535, 261, 261, 815, 17086, 4834, 269, 476, 271, 267, 562, 284, 272, 267, 26571, 14352, 1070, 1931, 284, 274, 264, 1496, 25899, 316, 2485, 370, 4855, 519, 562, 6253, 12045, 540, 513, 1599, 693, 513, 1448, 269, 898, 1767, 602, 952, 519, 2034, 12045, 729, 2318, 693, 513, 2565, 1448, 267, 1287, 535, 1185, 513, 5934, 972, 267, 855, 952, 519, 2034, 12045, 729, 2942, 267, 1287, 513, 5021, 269, 634, 14216, 29719, 540, 513, 11638, 13305, 926, 762, 12793, 269, 634, 1152, 3364, 1775, 723, 547, 960, 1055, 540, 568, 519, 2596, 3830, 630, 293, 3287, 3620, 9984, 293, 3287, 4297, 270, 327, 269, 7182, 543, 16755, 2042, 543, 3435, 7824, 269, 31592, 7756, 2747, 538, 5124, 23218, 274, 6258, 875, 547, 16174, 513, 5311, 610, 1592, 540, 2418, 6746, 1227, 8074, 281, 713, 2985, 568, 851, 540, 519, 12319, 585, 4528, 476, 274, 540, 18140, 569, 269, 8174, 9852, 284, 272, 264, 1948, 3689, 12045, 609, 544, 284, 272, 269, 17623, 343, 3487, 658, 14216, 29719, 14216, 29719, 269, 901, 8242, 7160, 2882, 782, 519, 2242, 538, 269, 634, 3070, 585, 713, 3830, 568, 513, 1599, 4171, 2034, 12045, 568, 3294, 609, 513, 14263, 1129, 269, 634, 1152, 2565, 1448, 568, 693, 1535, 815, 476, 271, 269, 5822, 268, 24576, 14216, 29719, 269, 634, 1184, 540, 12719, 513, 12045, 568, 1572, 15285, 269, 898, 814, 519, 1482, 16105, 607, 886, 3890, 1505, 269, 594, 1589, 621, 568, 20501, 547, 2012, 873, 968, 1457, 643, 14682, 343, 5608, 968, 1457, 643, 318, 4445, 892, 543, 968, 1457, 643, 14682, 345, 6100, 2913, 779, 1491, 513, 1413, 693, 930, 1806, 540, 2362, 1931, 16755, 269, 1403, 2073, 1287, 594, 9327, 1405, 4363, 28976, 519, 1267, 540, 519, 1587, 4341, 8259, 596, 723, 547, 282, 621, 781, 1454, 10930, 1175, 547, 4734, 621, 607, 621, 568, 267, 2523, 952, 596, 616, 2469, 269, 1924, 519, 2034, 12045, 3349, 814, 1079, 7864, 9343, 602, 519, 15044, 3403, 3349, 630, 12898, 9427, 5918, 27289, 1040, 32017, 18768, 538, 5124, 7300, 270, 7968, 18510, 20527, 32017, 18768, 7300, 270, 7968, 18510, 476, 11054, 4635, 1187, 12449, 543, 2653, 547, 1246, 5528, 267, 713, 3551, 267, 713, 3308, 3391, 2982, 1762, 6267, 875, 547, 1628, 741, 1378, 2780, 3785, 1210, 5124, 267, 606, 2653, 2943, 3532, 1863, 5752, 1893, 2139, 585, 4647, 8110, 2739, 585, 3214, 6502, 543, 936, 945, 616, 4712, 547, 1491, 513, 2034, 1900, 1310, 2480, 337, 2255, 267, 32017, 269, 634, 16755, 616, 4399, 1091, 535, 21948, 343, 6661, 275, 343, 317, 274, 259, 543, 4399, 1091, 535, 5257, 263, 343, 6661, 1321, 343, 317, 273, 10608, 476, 272, 4985, 547, 5124, 5124, 272, 568, 513, 2489, 26928, 267, 1164, 7400, 5752, 1893, 267, 799, 568, 4922, 1031, 538, 2172, 328, 524, 26398, 950, 2773, 568, 711, 513, 3815, 269, 1703, 616, 1079, 21635, 267, 865, 621, 779, 513, 1434, 2856, 547, 1491, 1079, 16755, 543, 1294, 1018, 596, 723, 269, 6258, 519, 2856, 540, 14216, 29719, 543, 946, 621, 547, 4194, 2042, 269, 8074, 281, 18461, 1863, 547, 18178, 713, 3296, 952, 596, 2461, 6899, 609, 1612, 1388, 16755, 543, 27080, 543, 596, 917, 875, 547, 1491, 16755, 538, 6641, 13695, 269, 4746, 267, 621, 2337, 547, 4019, 513, 11826, 6310, 7664, 547, 1142, 9864, 12045, 538, 1931, 547, 7413, 1022, 10539, 269, 7151, 476, 272, 281, 4855, 519, 12045, 540, 1599, 535, 2016, 676, 8827, 547, 7151, 476, 272, 281, 9577, 535, 568, 519, 1587, 540, 1079, 3252, 281, 772, 815, 1535, 476, 273, 910, 476, 276, 543, 966, 815, 1535, 476, 274, 910, 476, 273, 1535, 1341, 476, 274, 282, 8754, 1284, 946, 519, 1587, 4341, 547, 16174, 535, 607, 5205, 281, 1141, 772, 1412, 543, 966, 1412, 616, 519, 16755, 540, 772, 543, 966, 6606, 543, 616, 2016, 676, 15240, 3482, 547, 3489, 30771, 267, 1895, 543, 14458 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 1082, 3384, 2477, 1519, 10476, 267, 1239, 616, 15877, 593, 6171, 667, 543, 7513, 19518, 6466, 1346, 19518, 666, 1404, 606, 1271, 1909, 538, 519, 1646, 540, 5642, 1072, 543, 7654, 1875, 268, 10919, 27809, 3676, 269, 634, 3483, 540, 713, 1353, 729, 547, 3313, 519, 2949, 9860, 540, 6171, 667, 543, 7513, 19518, 538, 2021, 543, 1762, 1453, 543, 741, 9422, 1644, 1981, 2188, 563, 288, 3444, 22891, 1353, 5342, 1851, 476, 276, 4817, 2021, 540, 10285, 2085, 543, 476, 276, 3953, 1453, 2999, 276, 1296, 689, 476, 866, 16899, 540, 10476, 269, 1280, 1142, 1367, 267, 1239, 7282, 3232, 2732, 267, 14227, 1895, 267, 10236, 6248, 4567, 941, 5833, 267, 543, 11919, 9830, 540, 7513, 543, 6171, 667, 941, 6027, 563, 763, 9860, 540, 3834, 990, 9559, 2670, 667, 4567, 729, 1360, 1164, 267, 609, 519, 9860, 540, 6171, 667, 10638, 630, 1839, 263, 15121, 264, 291, 283, 1789, 16354, 565, 13624, 264, 543, 1202, 340, 11797, 630, 1839, 263, 15121, 264, 291, 1063, 476, 1789, 1700, 5392, 269, 280, 16354, 565, 13624, 264, 1373, 476, 1704, 260, 543, 476, 2412, 260, 538, 2021, 543, 476, 2641, 260, 543, 476, 4391, 260, 538, 1453, 267, 6606, 269, 4635, 811, 12666, 2759, 11325, 540, 476, 4037, 16354, 565, 13624, 267, 5111, 476, 3445, 260, 540, 519, 2021, 543, 1453, 941, 9286, 607, 2348, 3834, 990, 9559, 2670, 667, 269, 3683, 7076, 270, 984, 3150, 2021, 1185, 513, 476, 273, 2053, 2539, 1981, 630, 3036, 815, 476, 271, 269, 5379, 267, 1496, 271, 269, 2190, 1700, 271, 269, 3445, 8079, 585, 6171, 667, 10638, 982, 1875, 27492, 7076, 543, 1875, 268, 984, 3150, 2021, 269, 3143, 16045, 1185, 4049, 7513, 10638, 855, 9793, 543, 7646, 3834, 5914, 8619, 8598, 630, 680, 553, 2742, 7513, 9830, 1063, 476, 272, 269, 1428, 268, 271, 269, 280, 6515, 565, 13624, 585, 7646, 10638, 543, 1063, 476, 271, 269, 280, 268, 271, 269, 279, 6515, 565, 13624, 585, 9793, 10638, 264, 4299, 6606, 476, 1691, 260, 543, 476, 10695, 260, 540, 519, 2021, 609, 476, 9032, 260, 540, 519, 1453, 2348, 7646, 3834, 5914, 8619, 8598, 269, 6468, 543, 1453, 10057, 827, 476, 272, 260, 540, 519, 4659, 540, 6925, 630, 296, 6865, 264, 5227, 8770, 6981, 630, 305, 25712, 264, 585, 6171, 667, 543, 1447, 982, 476, 6246, 260, 540, 519, 681, 25712, 585, 7513, 563, 290, 2787, 281, 5487, 650, 537, 589, 267, 15261, 1359, 320, 674, 267, 2558, 534, 570, 301, 267, 11709, 25280, 267, 2274, 22720, 267, 10783, 514, 590, 267, 1696, 620, 269, 630, 1001, 274, 264, 14523, 990, 9559, 2670, 667, 543, 631, 843, 14523, 5914, 8619, 8598, 3657, 4400, 569, 2776, 1998, 550, 1851, 8479, 19176, 5753, 543, 6468, 543, 13565, 547, 8899, 26678, 2271, 820, 269, 12813, 24382, 21450, 476, 279, 263, 276, 2567, 552, 277, 4375, 8064, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 24879, 4375, 278, 280, 454, 29394, 281, 1261, 10719, 918, 269, 7137, 628, 1245, 267, 4077, 527, 2946, 2160, 6925, 12670, 267, 5125, 454, 3725, 18727, 281, 5437, 476, 736, 267, 476, 1001, 273, 282, 20504, 539, 281, 4989, 476, 279, 267, 476, 1001, 274, 282, 15618, 281, 2904, 476, 2190, 267, 476, 1001, 274, 454, 15648, 281, 9736, 476, 1001, 274, 5487, 650, 537, 1696, 620, 269, 901, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 293, 27448, 281, 634, 960, 729, 14102, 676, 9291, 543, 9253, 25475, 27176, 7690, 630, 13696, 24427, 1070, 5617, 6828, 543, 519, 4972, 1280, 4139, 4886, 630, 5263, 2839, 1040, 634, 2508, 619, 1185, 1100, 1909, 538, 1353, 1374, 267, 1239, 4015, 543, 2079, 267, 3375, 547, 15476, 267, 610, 7041, 540, 519, 12377, 563, 4467, 7065, 532, 4690, 281, 5617, 1895, 568, 513, 4357, 2754, 630, 10674, 2517, 4178, 269, 10964, 31228, 2593, 270, 1040, 5617, 1895, 729, 711, 513, 16045, 1560, 540, 519, 1353, 543, 1705, 711, 7119, 538, 1022, 5123, 540, 519, 1353, 1519, 7014, 1374, 267, 1239, 4015, 267, 1239, 2079, 543, 8313, 269, 7183, 540, 519, 3173, 543, 4589, 540, 519, 12377, 723, 1044, 6964, 610, 26438, 676, 5617, 1895, 269, 634, 2883, 9295, 540, 5617, 729, 476, 1015, 267, 1822, 20430, 630, 1478, 513, 2698, 6578, 540, 476, 4968, 267, 1822, 20430, 264, 547, 1489, 519, 2817, 4659, 540, 12594, 538, 670, 8457, 328, 267, 799, 568, 513, 3084, 19176, 2497, 896, 519, 12080, 540, 2657, 267, 585, 519, 2079, 540, 7513, 543, 6171, 667, 269, 5047, 519, 8313, 568, 711, 1644, 547, 1022, 14664, 267, 1587, 538, 1646, 610, 30630, 2472, 269, 901, 814, 1044, 4080, 538, 519, 3382, 4484, 547, 1489, 938, 3948, 540, 1100, 4655, 540, 1719, 269, 901, 1281, 711, 7369, 519, 4589, 685, 15984, 547, 782, 519, 12813, 5308, 21450, 4507, 593, 4687, 1239, 543, 2326, 563, 9773, 6458, 543, 6171, 667, 616, 1898, 5567, 585, 519, 1480, 1560, 2429, 519, 1272, 543, 616, 5702, 5532, 607, 6171, 667, 10638, 666, 2569, 15499, 10338, 540, 7513, 476, 543, 1970, 8192, 6981, 540, 7513, 2164, 538, 2799, 3032, 29440, 540, 6171, 667, 2073, 1547, 769, 1453, 267, 12192, 667, 10638, 666, 2014, 2208, 29472, 566, 543, 678, 1157, 1115, 1547, 8899, 8192, 7513, 543, 6171, 667, 6981, 267, 1970, 4598, 547, 7943, 543, 1164, 20239, 622, 6981, 9192, 547, 16578, 6171, 667, 10638, 543, 678, 1157, 1115, 1547, 5525, 1851, 7489, 1453, 543, 3979, 1977, 14038, 849, 6700, 602, 1970, 8192, 6981, 540, 7513, 16578, 519, 1646, 540, 12192, 667, 10638, 543, 678, 1157, 1115, 1547, 769, 4079, 267, 3834, 990, 9559, 2670, 667, 786, 22652, 1312, 11560, 13449, 807, 543, 21404, 543, 2333, 519, 1981, 540, 17795, 1107, 269, 769, 1840, 267, 1896, 2090, 723, 6700, 602, 6171, 667, 21455, 568, 3238, 538, 4227, 9025, 3676, 543, 1981, 1547, 589, 17053, 1353, 5342, 1851, 476, 1240, 267, 18597, 2367, 12290, 519, 7681, 1063, 16796, 476, 1839, 263, 15121, 264, 291, 543, 1981, 540, 18337, 2068, 267, 1346, 609, 16796, 476, 1839, 263, 15121, 264, 291, 18016, 4391, 16354, 565, 13624, 264, 2348, 2362, 1981, 540, 3384, 26961, 658, 1102, 541, 794, 267, 3379, 609, 1346, 609, 2157, 540, 6171, 667, 21759, 4037, 16354, 565, 13624, 264, 1547, 6271, 1353, 4553, 476, 274, 267, 1822, 24272, 22057, 2550, 945, 941, 22991, 5219, 547, 18337, 2587, 25086, 585, 5722, 1296, 543, 1336, 602, 2550, 609, 4049, 3834, 990, 9559, 2670, 667, 267, 3989, 607, 476, 1839, 263, 15121, 264, 291, 2999, 1839, 16354, 565, 13624, 267, 1185, 513, 1981, 540, 12955, 689, 2295, 5821, 610, 6727, 13487, 2669, 602, 729, 1614, 547, 2947, 2053, 3152, 982, 1851, 2550, 609, 6099, 2157, 540, 6171, 667, 1547, 12192, 667, 949, 2709, 15324, 543, 9354, 2640, 855, 519, 1909, 540, 6171, 667, 568, 1950, 543, 3340, 2417, 8062, 547, 5581, 2436, 1875, 1606, 651, 13762, 2360, 666, 581, 2047, 11911, 547, 519, 2333, 540, 6171, 667, 6981, 4586, 11847, 9285, 9860, 540, 6171, 667, 10638, 543, 1202, 340, 11797, 4096, 593, 519, 2759, 11325, 2418, 1031, 602, 4268, 1063, 2090, 269, 1323, 6059, 476, 272, 5479, 1004, 5001, 723, 6171, 667, 10638, 610, 1202, 340, 11797, 1547, 23207, 569, 267, 3834, 990, 9559, 2670, 667, 568, 1373, 4080, 538, 6417, 8062, 689, 5607, 543, 4061, 568, 711, 25422, 11347, 269, 769, 9031, 267, 519, 9860, 540, 3834, 990, 9559, 2670, 667, 630, 1839, 263, 15121, 264, 291, 2999, 4391, 269, 276, 16354, 565, 13624, 264, 568, 4080, 538, 476, 5780, 269, 278, 260, 12256, 543, 476, 10037, 269, 272, 260, 540, 20418, 11299, 1547, 769, 3127, 267, 476, 4366, 260, 540, 11299, 543, 476, 7367, 260, 540, 12256, 723, 476, 1839, 263, 15121, 264, 291, 1447, 982, 476, 1839, 16354, 565, 13624, 1547, 769, 3624, 267, 476, 8660, 260, 540, 15730, 6690, 538, 19864, 723, 16796, 476, 1839, 263, 15121, 264, 291, 2999, 2004, 16354, 565, 13624, 1547, 14523, 990, 9559, 2670, 667, 267, 3989, 676, 513, 476, 1839, 263, 15121, 264, 291, 5834, 2999, 2004, 16354, 565, 13624, 267, 814, 849, 1044, 3254, 538, 476, 3445, 260, 540, 2021, 689, 15173, 15158, 476, 543, 476, 2568, 260, 24414, 2021, 2073, 543, 538, 476, 7761, 260, 540, 3119, 1153, 1453, 538, 17111, 2073, 5103, 2713, 2673, 547, 519, 20173, 540, 20337, 563, 18128, 2064, 11021, 513, 1164, 9860, 540, 7513, 10638, 6818, 538, 1312, 2919, 543, 3384, 2477, 269, 1280, 1383, 267, 538, 519, 2136, 8003, 267, 621, 568, 6059, 602, 476, 1724, 260, 547, 476, 1240, 260, 540, 2021, 1063, 519, 6502, 540, 476, 1691, 547, 476, 4097, 1296, 543, 476, 279, 260, 547, 476, 1428, 260, 540, 1346, 936, 476, 4792, 1296, 616, 7513, 28119, 1547, 3204, 8973, 519, 3384, 1158, 267, 3110, 3770, 7513, 6981, 568, 6059, 693, 1152, 476, 1839, 260, 547, 476, 3451, 260, 540, 519, 7850, 6981, 585, 1082, 5095, 543, 2085, 2516, 4586, 1103, 10476, 267, 1239, 593, 6171, 667, 543, 7513, 616, 23661, 610, 5645, 856, 593, 3908, 5439, 540, 5095, 2073, 1547, 1306, 513, 1267, 267, 519, 19176, 12080, 540, 2657, 16761, 513, 1353, 538, 1931, 547, 3489, 1344, 593, 891, 19518, 18487, 269, 634, 1292, 6662, 540, 519, 1459, 1353, 729, 3976, 547, 3313, 519, 9860, 540, 6171, 667, 543, 7513, 19518, 538, 2021, 543, 1762, 1453, 3769, 538, 513, 25050, 22021, 5619, 5645, 856, 538, 476, 866, 16899, 540, 10476, 693, 519, 1439, 540, 476, 1001, 271, 543, 741, 9422, 5829, 1981, 2188, 563, 29605, 543, 10613, 454, 19138, 5071, 543, 6341, 7204, 454, 1103, 476, 1220, 280, 267, 513, 18487, 1426, 4616, 5619, 729, 5645, 538, 10476, 1851, 1762, 1453, 543, 2021, 540, 10285, 2085, 689, 476, 278, 267, 27151, 10820, 14477, 5697, 1210, 513, 14404, 1881, 476, 273, 22533, 12440, 10386, 5650, 609, 5506, 8167, 622, 547, 2450, 630, 10441, 4683, 543, 476, 2412, 279, 6917, 13421, 1040, 769, 476, 1001, 271, 267, 519, 1482, 5171, 941, 556, 1606, 584, 3272, 539, 547, 1683, 3606, 1344, 593, 25050, 22021, 4567, 540, 2021, 538, 10285, 2085, 543, 1762, 1453, 269, 634, 476, 1001, 271, 25050, 22021, 1353, 476, 729, 5645, 13050, 538, 513, 15410, 540, 476, 279, 2412, 1482, 10820, 689, 476, 6321, 4683, 543, 476, 6321, 6917, 13421, 630, 1428, 10820, 829, 12440, 264, 689, 476, 866, 14477, 5697, 16899, 267, 476, 277, 689, 519, 3345, 267, 476, 276, 689, 519, 4741, 543, 476, 279, 689, 519, 3162, 6029, 513, 32321, 7059, 3892, 563, 2690, 7513, 543, 6171, 667, 267, 782, 519, 1453, 14477, 5697, 689, 519, 476, 1001, 271, 1353, 941, 3769, 1547, 1280, 519, 2021, 540, 10285, 2085, 267, 519, 3732, 2450, 2877, 729, 6059, 547, 581, 476, 29045, 5396, 547, 3489, 1344, 593, 519, 3003, 2551, 269, 2060, 606, 4397, 1374, 1198, 540, 476, 273, 269, 271, 267, 513, 5934, 3732, 2450, 540, 476, 276, 4343, 5396, 729, 7229, 547, 1205, 513, 8856, 540, 476, 276, 269, 271, 10065, 1677, 1450, 585, 1761, 9000, 540, 513, 11919, 3732, 476, 30020, 2021, 941, 14477, 5697, 689, 519, 1592, 540, 519, 476, 272, 267, 26392, 2021, 5697, 585, 519, 824, 25050, 19153, 2073, 14404, 1881, 585, 11662, 543, 6917, 270, 18076, 2713, 1858, 269, 29120, 11919, 5439, 941, 9916, 585, 7513, 543, 6171, 667, 9830, 269, 634, 1353, 9043, 568, 4843, 538, 4137, 476, 272, 563, 9616, 281, 634, 2551, 9916, 585, 713, 2376, 568, 513, 7449, 2217, 540, 519, 2817, 5253, 29283, 11752, 3732, 602, 729, 849, 1031, 585, 519, 13780, 4204, 12192, 543, 25115, 4347, 545, 13853, 5530, 269, 1717, 267, 713, 7449, 2217, 814, 711, 21678, 519, 2164, 267, 607, 2147, 4681, 593, 8192, 7513, 6981, 941, 1336, 1851, 519, 476, 278, 7176, 271, 10820, 23500, 4586, 15675, 539, 2021, 543, 1453, 941, 14376, 547, 519, 2155, 2317, 2657, 4741, 2038, 6640, 269, 5753, 543, 2021, 941, 26693, 1510, 10887, 610, 5070, 1023, 543, 9849, 1769, 9660, 676, 1210, 513, 3666, 609, 513, 8856, 540, 476, 271, 269, 272, 4846, 630, 28694, 23531, 18554, 17361, 18000, 7534, 7460, 268, 276, 6246, 267, 3567, 1040, 27551, 729, 6027, 676, 1210, 513, 4463, 7893, 3926, 609, 513, 8856, 540, 476, 271, 269, 272, 4699, 630, 6229, 523, 4463, 4604 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5122, 7221, 1141, 513, 5821, 1131, 581, 21472, 547, 519, 2754, 779, 5106, 454, 268, 21302, 1018, 4066, 616, 20749, 2139, 547, 8524, 543, 2445, 13178, 1239, 1808, 585, 8159, 519, 1072, 540, 707, 7221, 269, 5871, 4066, 2139, 616, 18342, 5687, 2762, 267, 23197, 16953, 267, 2497, 28703, 16953, 267, 5179, 1699, 2079, 267, 9864, 11166, 4152, 267, 3308, 24422, 543, 2228, 2837, 5464, 563, 268, 13693, 609, 513, 29449, 602, 24870, 538, 5122, 5826, 3106, 3457, 630, 4932, 16256, 338, 264, 971, 607, 16843, 3041, 306, 269, 966, 754, 832, 616, 8348, 547, 4217, 596, 609, 513, 3802, 1472, 540, 707, 9744, 543, 1118, 7840, 593, 2472, 543, 2533, 2877, 547, 3035, 519, 3804, 563, 268, 9524, 513, 21614, 296, 6476, 1063, 519, 3790, 540, 12561, 4066, 547, 1489, 513, 2783, 1759, 1982, 5288, 269, 519, 1942, 540, 9709, 14791, 29987, 267, 796, 680, 10165, 29987, 267, 7816, 610, 10682, 540, 8959, 7221, 543, 1764, 547, 519, 2754, 779, 1439, 3755, 454, 268, 21480, 1587, 19698, 543, 2866, 585, 707, 2319, 454, 7312, 1382, 849, 9672, 602, 10073, 540, 513, 2783, 1759, 5826, 1982, 9001, 661, 5960, 17762, 8813, 896, 519, 5822, 6513, 540, 519, 29458, 5183, 476, 3583, 292, 28762, 8944, 540, 11485, 6513, 10613, 1572, 24639, 7034, 2316, 307, 28513, 269, 4107, 5122, 7221, 1590, 581, 1202, 4624, 896, 2407, 4452, 269, 661, 5960, 17762, 616, 1007, 968, 32552, 676, 5071, 892, 2472, 602, 5512, 2922, 5122, 24422, 547, 581, 5340, 896, 3339, 4452, 1510, 6679, 519, 3937, 9885, 610, 6227, 602, 1131, 16616, 4600, 547, 1981, 269, 6270, 2472, 616, 28196, 1456, 875, 24422, 540, 5122, 7221, 666, 581, 5340, 269, 2060, 519, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 6042, 538, 1747, 267, 661, 5960, 17762, 616, 519, 9266, 3903, 585, 3001, 2509, 513, 2783, 1759, 5826, 1982, 563, 5629, 707, 2754, 4628, 3792, 1206, 519, 2783, 1759, 5826, 1982, 267, 519, 6444, 2640, 786, 581, 6325, 2754, 4238, 267, 519, 5207, 1377, 540, 3106, 538, 519, 9036, 543, 9013, 5665, 3790, 676, 14874, 519, 1981, 540, 606, 796, 680, 10165, 1379, 5821, 269, 28597, 609, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 6042, 568, 9672, 676, 1210, 661, 5960, 9169, 547, 8524, 10069, 1242, 5122, 7221, 1247, 14874, 519, 1981, 540, 5945, 538, 519, 9036, 563, 8512, 658, 2598, 8408, 630, 11520, 264, 666, 2049, 538, 5420, 543, 1164, 6453, 6467, 613, 541, 543, 4564, 513, 15059, 1063, 1079, 10647, 22809, 269, 1403, 19113, 568, 711, 9571, 267, 519, 3441, 547, 5122, 3937, 666, 581, 21472, 543, 2014, 3978, 3106, 2621, 538, 519, 9036, 269, 19113, 666, 3362, 581, 9571, 609, 16953, 543, 16953, 24422, 1058, 581, 3769, 538, 513, 6296, 16762, 5826, 4640, 269, 901, 3381, 14550, 875, 19113, 666, 581, 9571, 609, 519, 946, 540, 519, 12312, 639, 19113, 1688, 18988, 16953, 4152, 3926, 563, 7312, 2754, 568, 10442, 11449, 543, 16459, 5826, 14791, 9486, 547, 16783, 609, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 9990, 269, 1306, 519, 9614, 540, 519, 1507, 5826, 2319, 267, 596, 616, 2324, 609, 513, 22639, 547, 2328, 513, 20487, 3561, 585, 6220, 891, 9486, 883, 1312, 707, 4540, 3937, 543, 1007, 3937, 16551, 607, 851, 540, 707, 2783, 1759, 5826, 10873, 269, 2659, 2754, 30877, 519, 2640, 540, 12570, 519, 1072, 540, 922, 2565, 5122, 7221, 269, 634, 22639, 2488, 5813, 883, 782, 540, 519, 7355, 602, 1590, 581, 2808, 950, 28408, 5826, 14791, 9486, 269, 2913, 779, 17412, 891, 7355, 602, 991, 547, 581, 2808, 563, 14611, 5199, 6184, 18936, 8837, 2097, 609, 1114, 3156, 269, 2913, 779, 17412, 912, 268, 5606, 14518, 630, 7644, 264, 8837, 281, 16843, 9486, 1450, 18342, 12514, 547, 1294, 543, 2268, 2837, 540, 3615, 543, 4296, 3330, 10069, 1242, 5122, 3937, 609, 519, 6227, 543, 9885, 538, 1747, 630, 10852, 8877, 513, 2922, 543, 9856, 539, 2783, 1040, 16843, 8837, 1450, 3308, 267, 18342, 543, 11158, 24422, 269, 1452, 9486, 616, 2810, 538, 8560, 607, 3549, 16783, 609, 519, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 6042, 1317, 789, 1683, 513, 2922, 543, 1942, 15807, 1259, 547, 2932, 24422, 593, 10069, 1242, 5122, 3937, 563, 268, 11638, 14482, 9592, 20904, 6184, 18936, 8837, 281, 1452, 9486, 979, 3564, 1175, 18342, 14791, 676, 4946, 16953, 12588, 269, 769, 1840, 547, 3850, 585, 8143, 9196, 267, 3308, 543, 11158, 24422, 267, 16953, 543, 9864, 11166, 24422, 666, 581, 5340, 1107, 782, 689, 513, 2582, 6885, 269, 901, 1935, 568, 1942, 15807, 585, 519, 2754, 2949, 607, 835, 1826, 540, 6885, 666, 13918, 2789, 14791, 23857, 563, 3080, 29449, 267, 16843, 3041, 306, 267, 666, 1683, 2688, 5826, 14791, 9486, 538, 1022, 2450, 267, 3337, 543, 1256, 2681, 269, 2353, 16843, 3041, 306, 779, 9486, 849, 616, 2901, 772, 299, 13876, 1242, 610, 772, 299, 5903, 539, 269, 11426, 9486, 543, 10682, 8440, 5512, 5892, 968, 684, 15564, 1051, 762, 892, 7221, 547, 581, 968, 1231, 1051, 762, 9731, 8448, 7600, 4997, 585, 10410, 4328, 8837, 912, 268, 12197, 540, 7348, 630, 293, 10976, 9984, 12197, 540, 7348, 3217, 883, 7156, 519, 13156, 7285, 543, 3845, 689, 519, 1843, 540, 519, 8254, 543, 6885, 2324, 8195, 269, 3657, 782, 519, 4835, 3615, 7298, 547, 519, 8254, 610, 568, 1945, 17527, 519, 8254, 779, 2070, 286, 634, 674, 10976, 9819, 11887, 519, 2450, 540, 14791, 6885, 2877, 585, 1142, 4062, 540, 3937, 269, 1879, 28408, 9486, 593, 1007, 3937, 267, 1118, 2386, 547, 14574, 519, 9072, 596, 1616, 547, 581, 2111, 547, 1294, 543, 2322, 519, 5539, 585, 8939, 14013, 21092, 9486, 5196, 519, 744, 4932, 779, 1374, 2319, 563, 268, 32001, 5071, 1107, 10220, 609, 1166, 2459, 1464, 267, 1764, 543, 4452, 4170, 543, 744, 4932, 16551, 585, 2326, 543, 2681, 269, 634, 32001, 3382, 14014, 519, 6885, 3294, 543, 519, 5826, 2319, 563, 268, 7348, 532, 30776, 10049, 1107, 519, 7828, 1570, 1590, 16641, 7344, 1764, 543, 4452, 4170, 609, 519, 3382, 1930, 269, 634, 7828, 1590, 849, 723, 513, 6378, 543, 7123, 6771, 2557, 585, 519, 1272, 540, 519, 1770, 543, 711, 1689, 936, 942, 269, 19452, 267, 519, 7828, 1570, 1058, 711, 1689, 609, 4598, 547, 11195, 610, 824, 2825, 2188, 971, 607, 19089, 269, 30482, 7828, 1570, 1058, 16641, 4598, 547, 519, 3141, 543, 711, 1689, 950, 6534, 547, 1216, 563, 268, 12501, 5874, 22490, 1107, 8837, 267, 4470, 593, 3498, 267, 949, 991, 547, 16783, 609, 2789, 24501, 971, 607, 772, 299, 267, 7379, 13158, 902, 267, 595, 6347, 585, 4516, 267, 20959, 11621, 585, 1808, 3937, 2010, 543, 7463, 13995, 585, 7286, 3156, 971, 607, 32008, 779, 540, 5507, 10088, 1998, 267, 589, 7034, 610, 667, 301, 309, 563, 268, 13437, 16551, 1107, 14574, 519, 1604, 2837, 1141, 519, 32001, 786, 21078, 269, 20211, 1230, 24287, 4152, 949, 581, 2838, 4470, 593, 519, 3498, 540, 519, 32001, 610, 6467, 613, 541, 602, 3568, 519, 32001, 1107, 593, 1007, 3937, 713, 3587, 519, 5539, 540, 519, 744, 4932, 607, 851, 540, 741, 968, 6943, 4152, 892, 10873, 269, 10410, 1518, 519, 7828, 1570, 6771, 2557, 581, 7123, 936, 519, 6885, 779, 5665, 1272, 269, 6184, 675, 602, 519, 8837, 616, 15095, 609, 782, 2306, 543, 3631, 540, 16843, 543, 22292, 12514, 269, 1403, 596, 3442, 513, 32001, 609, 16843, 267, 8299, 14647, 543, 3487, 658, 2598, 8408, 3156, 267, 519, 32001, 1590, 581, 7379, 273, 311, 5360, 5050, 563, 268, 634, 2640, 540, 1210, 20904, 6184, 18936, 8837, 29387, 519, 2143, 4058, 1184, 7551, 2870, 513, 2922, 1604, 585, 8524, 532, 5122, 7221, 896, 2407, 4452, 2175, 269, 2060, 8837, 267, 513, 2582, 8524, 528, 666, 3362, 543, 9108, 1685, 513, 8905, 543, 3533, 5531, 1239, 543, 1685, 513, 7678, 532, 2079, 547, 3313, 1142, 10697, 779, 1072, 269, 634, 8837, 849, 1683, 1569, 547, 538, 17739, 1043, 9072, 602, 1223, 2760, 581, 1202, 4624, 1354, 799, 2488, 8537, 1239, 593, 811, 540, 707, 2565, 7221, 602, 2154, 14791, 269, 634, 3804, 540, 2783, 2861, 5826, 568, 547, 7678, 519, 1072, 540, 519, 7221, 936, 942, 543, 3313, 950, 606, 10697, 568, 6029, 4191, 540, 21324, 267, 865, 621, 666, 581, 3362, 6378, 1354, 519, 10697, 14543, 563, 5522, 8911, 585, 543, 8159, 20904, 6184, 18936, 32001, 779, 16551, 949, 3100, 524, 13246, 727, 282, 2705, 267, 2899, 519, 20487, 568, 5462, 543, 519, 8837, 616, 8704, 267, 519, 5826, 2319, 786, 581, 2111, 547, 1685, 11507, 5488, 543, 811, 4749, 543, 1034, 1271, 267, 10930, 269, 901, 6038, 7182, 796, 2675, 1117, 27968, 29987, 585, 519, 2754, 543, 6971, 27644, 5665, 3790, 269, 20904, 14791, 9486, 786, 6038, 2569, 519, 11192, 8779, 540, 13574, 11429, 630, 307, 4596, 264, 540, 707, 5122, 5989, 7221, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7352, 766, 267, 9208, 7352, 766, 540, 2473, 263, 4134, 4740, 4351, 4632, 3418, 290, 5317, 281, 30016, 268, 279, 1477, 12041, 281, 16541, 14225, 280, 1477, 14630, 281, 476, 1708, 271, 270, 1556, 270, 1015, 1477, 18851, 5897, 5814, 11885, 607, 5286, 476, 1948, 1210, 4528, 268, 272, 269, 866, 269, 274, 952, 596, 616, 8837, 7193, 1477, 5814, 2979, 24653, 3698, 2855, 17750, 28399, 825, 5044, 815, 1496, 15947, 825, 1247, 6936, 6769, 1038, 1003, 815, 3403, 2891, 19152, 4756, 610, 1439, 281, 14744, 1038, 952, 1003, 2652, 834, 754, 257, 6769, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 5044, 6910, 263, 15615, 16325, 17903, 2018, 1820, 263, 6783, 267, 29038, 257, 2608, 476, 1015, 267, 6352, 263, 6783, 17903, 825, 2132, 5044, 24653, 3698, 2040, 9078, 333, 263, 541, 8029, 825, 2040, 272, 815, 476, 271, 1477, 825, 585, 1003, 538, 818, 6769, 1038, 23692, 815, 2979, 28802, 16325, 267, 2979, 4318, 3418, 1038, 2040, 272, 6834, 23692, 1477, 825, 2132, 2040, 272, 24653, 3698, 15254, 263, 541, 8029, 825, 2040, 273, 815, 476, 271, 1477, 825, 585, 1003, 538, 818, 6769, 1038, 771, 815, 1003, 910, 5286, 32557, 263, 541, 3418, 1038, 2040, 273, 6834, 771, 2608, 771, 1477, 825, 2132, 2040, 273, 14370, 6352, 263, 541, 264, 910, 476, 272, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1948, 2855, 815, 2855, 17750, 14052, 825, 2855, 815, 1496, 3374, 267, 476, 1626, 267, 476, 1428, 267, 476, 1704, 267, 476, 1704, 267, 476, 1789, 267, 476, 1556, 267, 476, 1626, 267, 476, 866, 267, 476, 2190, 15947, 825, 2855, 318, 11743, 815, 5286, 32557, 19906, 3418, 825, 2855, 318, 12534, 815, 15254, 19906, 3418, 825, 2855, 14067, 323, 815, 15254, 19906, 264, 2878, 476, 271, 269, 276, 1477, 825, 1820, 2891, 13614, 281, 4939, 325, 257, 4939, 2855, 318, 11743, 3418, 825, 1820, 2891, 24868, 766, 630, 684, 26330, 2567, 4939, 325, 257, 4939, 2855, 318, 12534, 3418, 825, 1820, 2891, 1805, 323, 318, 24868, 766, 630, 684, 26330, 2567, 4939, 325, 257, 4939, 2855, 14067, 323, 3418, 5897, 5897, 5897, 0, 3698, 1293, 29223, 14476, 23544, 318, 10864, 2510, 19906, 2187, 825, 952, 711, 2855, 912, 1038, 2132, 11713, 825, 1293, 29223, 815, 476, 271, 454, 825, 2040, 318, 10864, 815, 476, 271, 454, 825, 585, 1535, 538, 2855, 912, 1038, 952, 1535, 3436, 476, 271, 912, 2018, 1293, 29223, 6834, 476, 272, 454, 1038, 8640, 1535, 2999, 476, 271, 912, 2018, 2040, 318, 10864, 6834, 343, 454, 825, 2132, 1496, 12248, 29223, 267, 2040, 318, 10864, 316 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 476, 273, 5998, 10774, 337, 269, 1358, 2743, 538, 476, 275, 3108, 269, 1215, 3728, 568, 15608, 6972, 286, 589, 264, 476, 274, 5998, 10774, 337, 645, 264, 476, 1321, 5998, 10774, 337, 595, 264, 476, 278, 5998, 10774, 337, 667, 264, 476, 273, 269, 276, 5998, 10774, 337, 8382, 281, 589, 692, 6246, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 476, 25172, 264, 3245, 513, 1448, 593, 513, 2786, 4155, 267, 1079, 6517, 616, 9141, 538, 6587, 8846, 267, 835, 693, 476, 2420, 5195, 829, 5662, 543, 519, 824, 693, 476, 7761, 5195, 829, 5662, 269, 769, 875, 1082, 3108, 786, 789, 581, 476, 4391, 277, 5195, 6306, 286, 589, 264, 476, 276, 3108, 645, 264, 476, 274, 3108, 595, 264, 476, 275, 3108, 667, 264, 3502, 2614, 1344, 8382, 281, 595, 476, 21857, 264, 3245, 513, 1448, 593, 513, 2786, 4155, 267, 3627, 543, 12049, 11878, 30158, 538, 6587, 8846, 269, 3627, 26055, 476, 276, 5195, 829, 5662, 543, 12049, 26055, 476, 278, 5195, 829, 5662, 269, 769, 875, 1082, 3108, 786, 789, 581, 476, 2568, 5195, 6306, 286, 589, 264, 476, 277, 3108, 645, 264, 3502, 2614, 1344, 595, 264, 476, 275, 3108, 667, 264, 476, 276, 3108, 8382, 281, 667, 476, 26562, 264, 3245, 513, 1448, 593, 513, 5757, 267, 1079, 16996, 616, 9141, 538, 6587, 8846, 267, 835, 693, 476, 277, 5195, 829, 5662, 543, 519, 824, 693, 476, 280, 5195, 829, 5662, 269, 769, 875, 1082, 3108, 786, 789, 581, 476, 4037, 5195, 6306, 286, 589, 264, 476, 276, 32162, 645, 264, 476, 272, 32162, 595, 264, 476, 278, 32162, 667, 264, 476, 277, 32162, 8382, 281, 589, 476, 22724, 264, 667, 699, 330, 568, 2185, 2053, 607, 2025, 607, 8861, 269, 8422, 1296, 3516, 519, 2040, 540, 741, 6502, 729, 476, 3066, 269, 1215, 2025, 568, 1142, 1631, 286, 589, 264, 667, 699, 330, 281, 476, 4029, 29757, 2025, 282, 8861, 281, 476, 14625, 29757, 2025, 645, 264, 667, 699, 330, 281, 476, 14138, 29757, 2025, 282, 8861, 281, 476, 3066, 29757, 2025, 595, 264, 667, 699, 330, 281, 476, 14056, 29757, 2025, 282, 8861, 281, 476, 2764, 29757, 2025, 667, 264, 667, 699, 330, 281, 476, 3066, 29757, 2025, 282, 8861, 281, 476, 14056, 29757, 2025, 8382, 281, 645, 476, 14838, 264, 589, 6666, 1512, 814, 513, 2698, 540, 476, 14695, 12014, 267, 1500, 909, 540, 535, 1161, 543, 9937, 269, 634, 2698, 1871, 540, 519, 2724, 568, 8096, 31318, 269, 1215, 1082, 4557, 1673, 20683, 12014, 1281, 519, 6666, 1512, 723, 286, 589, 264, 476, 1724, 4557, 1673, 20683, 12014, 645, 264, 476, 2918, 4557, 1673, 20683, 12014, 595, 264, 476, 4375, 4557, 1673, 20683, 12014, 667, 264, 476, 1911, 4557, 1673, 20683, 12014, 8382, 281, 645, 476, 16348, 264, 2961, 5055, 1568, 585, 8096, 1240, 606, 5662, 269, 589, 2698, 540, 476, 736, 260, 540, 1200, 14057, 568, 20952, 539, 585, 9204, 543, 6142, 269, 1215, 1082, 3108, 1590, 1352, 960, 547, 1491, 1753, 8096, 25971, 271, 286, 589, 264, 476, 1220, 32162, 645, 264, 476, 4968, 32162, 595, 264, 476, 5197, 32162, 667, 264, 476, 7742, 32162, 8382, 281, 589, 692, 4510, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 476, 27038, 264, 1403, 717, 3271, 807, 4607, 513, 476, 1321, 2600, 6318, 543, 568, 1631, 1818, 8096, 2420, 267, 6110, 513, 1032, 267, 1018, 729, 1200, 14057, 1354, 519, 6318, 286, 18471, 547, 519, 14282, 13362, 952, 2556, 269, 589, 264, 8096, 736, 267, 6110, 645, 264, 8096, 736, 267, 1822, 595, 264, 8096, 866, 267, 278, 1321, 667, 264, 8096, 2641, 267, 1822, 8382, 281, 645, 476, 28670, 264, 2311, 519, 1439, 540, 519, 1554, 267, 513, 4558, 24010, 1185, 8096, 13893, 273, 538, 519, 6666, 11578, 267, 10203, 1312, 519, 9042, 540, 5370, 543, 519, 6455, 3454, 540, 476, 274, 10065, 4855, 519, 2179, 602, 568, 519, 3454, 269, 18471, 547, 519, 14282, 13362, 952, 2556, 269, 589, 264, 8096, 3451, 645, 264, 8096, 5655, 595, 264, 8096, 6246, 667, 264, 8096, 5325, 8382, 281, 645, 3503, 606, 8635, 5473, 519, 4756, 1535, 602, 6257, 519, 1305, 540, 2338, 1178, 335, 1117, 269, 476, 28796, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 1535, 18016, 910, 276, 645, 264, 1535, 21759, 910, 276, 595, 264, 1535, 3436, 910, 276, 667, 264, 1535, 2999, 910, 276, 8382, 281, 595, 692, 18605, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 1535, 910, 278, 645, 264, 1535, 3436, 910, 278, 595, 264, 1535, 2999, 910, 278, 667, 264, 1535, 21759, 910, 278, 18016, 692, 12585, 281, 595, 692, 28360, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 1535, 3436, 910, 277, 645, 264, 1535, 18016, 910, 277, 595, 264, 1535, 2999, 910, 277, 667, 264, 1535, 21759, 910, 277, 8382, 281, 667, 692, 26783, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 1535, 3436, 910, 273, 645, 264, 1535, 21759, 910, 273, 595, 264, 1535, 18016, 910, 273, 667, 264, 1535, 2999, 910, 273, 8382, 281, 595, 692, 3393, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 28091, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 476, 271, 18016, 1535, 2999, 476, 275, 645, 264, 476, 271, 18016, 1535, 18016, 476, 275, 595, 264, 476, 271, 2999, 1535, 18016, 476, 275, 667, 264, 476, 271, 2999, 1535, 2999, 476, 275, 8382, 281, 645, 692, 25784, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 476, 273, 18016, 1535, 2999, 476, 277, 645, 264, 476, 273, 18016, 1535, 18016, 476, 277, 595, 264, 476, 273, 2999, 1535, 2999, 476, 277, 667, 264, 476, 273, 2999, 1535, 18016, 476, 277, 8382, 281, 595, 692, 25228, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 910, 274, 2999, 1535, 18016, 476, 272, 645, 264, 910, 274, 18016, 1535, 18016, 476, 272, 595, 264, 910, 274, 2999, 1535, 2999, 476, 272, 667, 264, 910, 274, 18016, 1535, 2999, 476, 272, 8382, 281, 667, 3503, 1142, 8635, 538, 8884, 10035, 543, 3113, 519, 8884, 593, 513, 1297, 1899, 269, 476, 29214, 264, 1535, 3436, 476, 276, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 11196, 3980, 508, 267, 476, 276, 264, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 289, 264, 630, 276, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 290, 264, 11196, 3980, 508, 267, 476, 276, 316, 910, 278, 692, 268, 277, 692, 291, 264, 1496, 276, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 12585, 281, 645, 692, 5379, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 476, 29045, 264, 1535, 2999, 910, 275, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 11196, 3980, 508, 267, 910, 275, 316, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 289, 264, 11196, 3980, 508, 267, 910, 275, 264, 910, 278, 692, 268, 277, 692, 290, 264, 11196, 275, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 291, 264, 30585, 275, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 12585, 281, 645, 476, 28803, 264, 1535, 21759, 476, 271, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 1496, 271, 267, 3980, 508, 264, 910, 278, 692, 289, 2020, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 8987, 3980 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 6418, 1587, 2230, 609, 6418, 1587, 20301, 676, 1535, 32244, 31976, 485, 586, 269, 2913, 1535, 32244, 31976, 505, 12882, 382, 484, 382, 496, 1535, 543, 586, 32244, 31976, 505, 12882, 382, 484, 382, 496, 586, 581, 9696, 538, 3331, 364, 31976, 489, 269, 476, 470, 3331, 364, 31976, 505, 3331, 364, 31976, 485, 3331, 364, 31976, 505, 476, 470, 476, 470, 476, 470, 476, 470, 263, 343, 3738, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 815, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 32244, 31976, 505, 12882, 382, 486, 382, 496, 630, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 1341, 630, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 476, 470, 476, 470, 476, 470, 476, 470, 12882, 382, 487, 11366, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 32244, 31976, 505, 12882, 382, 486, 382, 496, 630, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 470, 1341, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 476, 470, 476, 470, 476, 470, 476, 470, 12882, 382, 487, 11366, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 630, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 264, 470, 1341, 476, 470, 263, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 264, 32244, 31976, 485, 586, 470, 16792, 519, 595, 879, 16408, 4149, 577, 23702, 345, 8635, 476, 470, 476, 470, 3331, 364, 31976, 505, 3331, 364, 31976, 485, 3331, 364, 31976, 505, 476, 470, 263, 343, 3738, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 4595, 519, 5311, 1535, 32244, 31976, 505, 4780, 2471, 267, 621, 568, 22112, 267, 602, 568, 972, 6818, 3331, 364, 21638, 19050, 971, 602, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 354, 12882, 382, 487, 11366, 3331, 364, 21638, 19050, 585, 1169, 3331, 364, 31976, 505, 269, 4475, 476, 470, 3331, 364, 31976, 505, 3331, 364, 31976, 485, 3331, 364, 31976, 505, 476, 470, 476, 470, 263, 343, 3738, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 487, 11366, 3331, 364, 21638, 19050, 12882, 382, 486, 382, 354, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 484, 382, 496, 476, 271, 476, 274, 269, 8287, 16792, 519, 3601, 540, 519, 6418, 1587, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 503, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 815, 1535, 32244, 31976, 485, 1535, 12882, 382, 487, 382, 354, 476, 271, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 503, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 815, 1535, 32244, 31976, 485, 1535, 815, 476, 271, 952, 543, 1152, 952, 1535, 815, 476, 271, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 503, 12882, 382, 486, 382, 354, 32244, 16807, 505, 385, 496, 343, 5889, 382, 486, 382, 354, 815, 630, 32244, 16807, 505, 385, 496, 343, 264, 32244, 31976, 485, 630, 32244, 16807, 505, 385, 496, 343, 264, 815, 3331, 364, 16807, 505, 385, 496, 273, 1535, 32244, 31976, 485, 1535, 815, 12882, 382, 486, 28462, 32244, 16807, 505, 385, 496, 5889, 382, 486, 28462, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1677, 6961, 519, 6906, 8635, 267, 7747, 602, 21536, 710, 10846, 543, 15340, 17538, 476, 273, 692, 5889, 382, 486, 382, 354, 343, 1341, 586, 5889, 382, 486, 382, 354, 815, 630, 343, 1341, 586, 264, 32244, 31976, 485, 630, 343, 1341, 586, 264, 815, 1535, 32244, 31976, 485, 1535, 1341, 1535, 32244, 31976, 485, 586, 1341, 586, 32244, 31976, 485, 1535, 1341, 1990, 32244, 31976, 485, 1990, 815, 1535, 32244, 31976, 485, 1535, 1341, 476, 273, 343, 32244, 31976, 485, 586, 1341, 586, 32244, 31976, 485, 586, 476, 273, 692, 273, 692, 284, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1341, 476, 273, 343, 32244, 31976, 485, 586, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 476, 470, 476, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 273, 1341, 476, 273, 476, 470, 343, 32244, 31976, 485, 586, 470, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 273, 16792, 519, 595, 879, 16408, 4149, 577, 23702, 345, 8635, 476, 273, 692, 273, 692, 5889, 382, 486, 382, 354, 343, 1341, 586, 5889, 382, 486, 382, 354, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1341, 476, 273, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 692, 273, 692, 284, 630, 5889, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 264, 273, 476, 274, 269, 5038, 1280, 1169, 586, 12882, 382, 486, 382, 486, 3331, 364, 31976, 489, 267, 519, 9864, 1599, 3331, 364, 31976, 497, 344, 630, 343, 264, 815, 1535, 32244, 31976, 485, 586, 568, 513, 5276, 6198, 593, 3331, 364, 31976, 489, 630, 26238, 1535, 32244, 31976, 485, 586, 568, 21536, 710, 541, 1040, 8033, 8462, 5205, 689, 519, 595, 879, 16408, 4149, 577, 23702, 345, 8635, 267, 2094, 585, 1169, 1535, 12882, 382, 486, 382, 486, 3331, 364, 31976, 489, 476, 470, 476, 470, 12882, 382, 486, 28462, 32244, 31976, 497, 344, 630, 343, 264, 5889, 382, 486, 28462, 815, 476, 470, 343, 32244, 31976, 485, 586, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 476, 9873, 692, 22069, 1903, 585, 25043, 540, 19556, 13188, 799, 2982, 602, 12882, 382, 486, 382, 354, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 269, 769, 1249, 267, 12882, 382, 486, 382, 354, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 815, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 2094, 12882, 382, 486, 382, 354, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 815, 24101, 12882, 382, 486, 28462, 32244, 31976, 497, 344, 630, 343, 264, 5889, 382, 486, 28462, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 284, 272, 692, 470, 630, 3738, 470, 476, 470, 586, 476, 470, 470, 12882, 382, 487, 382, 354, 476, 470, 470, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 476, 470, 476, 470, 263, 476, 470, 476, 470, 586, 3738, 32244, 31976, 485, 476, 470, 476, 470, 476, 470, 815, 470, 586, 470, 476, 470, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 476, 470, 25883, 272, 3331, 364, 31976, 485, 586, 586, 815, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 692, 274, 269, 4792, 1635, 519, 1284, 1512, 1598, 817, 14497, 630, 31628, 332, 476, 273, 269, 273, 1070, 519, 6024, 1599, 3331, 364, 31976, 498, 263, 343, 264, 815, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1140, 1622, 513, 5021, 593, 519, 11741, 1305, 3331, 364, 31976, 484, 693, 930, 1448, 1535, 271, 1547, 1284, 3409, 602, 1535, 271, 568, 606, 3665, 1448, 269, 14597, 711, 269, 3973, 267, 972, 2291, 1535, 272, 2073, 1535, 273, 12882, 382, 486, 382, 486, 3331, 364, 31976, 484, 971, 602, 1535, 271, 815, 3331, 364, 16807, 505, 385, 496, 343, 272, 1341, 630, 272, 12882, 382, 486, 382, 496, 3331, 364, 16807, 505, 385, 496, 32589, 273, 815, 1535, 273, 1341, 3331, 364, 16807, 505, 385, 496, 3287, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 4595, 1535, 271, 12366, 3278, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 593, 3331, 364, 31976, 484, 692, 263, 3738, 32244, 31976, 485, 630, 3738, 476, 273, 476, 273, 1535, 273, 1341, 3331, 364, 16807, 505, 385, 496, 3287, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 12882, 382, 486, 382, 354, 343, 273, 12882, 382, 486, 382, 354, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 271, 12882, 382, 486, 382, 354, 815, 1535, 273, 1341, 3331, 364, 16807, 505, 385, 496, 3287, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 476, 273, 692, 284, 12882, 382, 486, 382, 354, 343, 273, 12882, 382, 486, 382, 354, 1341, 476, 273, 32244, 16807, 505, 385, 496, 343, 32244, 31976, 485, 273, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 273, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 692, 273, 692, 528, 476, 273, 692, 273, 343, 32244, 31976, 485, 273, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 12882, 382, 487, 382, 354, 476, 271, 692, 263, 274, 269, 4375, 2020, 20118, 267, 954, 577, 4474, 519, 1909, 540, 1535, 272, 543, 1535, 273, 476, 273, 692, 273, 343, 32244, 31976, 485, 272, 630, 343, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 273, 12882, 382, 486, 382, 496, 1535, 272, 12882, 382, 486, 382, 354, 12882, 382, 487, 382, 354, 476, 271, 610, 12882, 382, 486, 382, 496, 273, 343, 32244, 31976, 485, 272, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 273, 12882, 382, 487, 382, 354, 476, 271, 692, 263, 274, 269, 2412, 2020, 29002, 519, 16526, 630, 274, 269, 4375, 264, 543, 630, 274, 269, 2412, 264, 11729, 476, 273, 692, 273, 3287, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 32244, 31976, 485, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 476, 273, 32244, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 12882, 382, 487, 382, 354, 476, 271, 610, 476, 273, 3287, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 32244, 31976, 485, 630, 343, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 815, 12882, 382, 486, 382, 496, 273, 3287, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 32244, 31976, 485, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 12882, 382, 487, 11366, 476, 273, 32244, 16807, 505, 385, 496, 12882 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1832, 621, 13411, 563, 5278, 3885, 723, 519, 2688, 540, 4946, 606, 3063, 23156, 585, 1142, 1126, 547, 3090, 1047, 519, 1769, 1453, 3142, 883, 519, 1158, 269, 2991, 8654, 519, 22250, 267, 519, 7594, 6238, 609, 918, 1342, 2313, 630, 628, 3471, 15130, 973, 1243, 936, 9174, 264, 543, 4189, 2027, 3694, 267, 1672, 1695, 563, 12988, 547, 10624, 0, 763, 1909, 540, 519, 5046, 268, 866, 13281, 18058, 28154, 786, 581, 547, 4217, 538, 16461, 1746, 5697, 10820, 547, 7119, 538, 4152, 547, 3313, 519, 5892, 32373, 539, 3262, 540, 5046, 268, 866, 2429, 18096, 563, 17357, 7431, 8290, 616, 513, 1804, 1920, 540, 8290, 4929, 4576, 538, 1004, 543, 824, 2713, 7919, 269, 5046, 268, 866, 568, 513, 2068, 3361, 676, 513, 1007, 8833, 540, 4856, 7431, 3644, 630, 306, 12678, 17336, 268, 273, 1070, 543, 922, 3262, 814, 1011, 10757, 883, 513, 2518, 6855, 563, 2691, 513, 3868, 762, 2068, 12176, 5956, 267, 519, 4998, 3210, 568, 585, 1857, 1072, 8387, 547, 2253, 4152, 585, 621, 2038, 269, 23560, 865, 5012, 547, 2656, 8446, 540, 2665, 4553, 676, 513, 13974, 4028, 3210, 267, 971, 7525, 10072, 547, 2061, 3262, 269, 7216, 4152, 849, 2337, 547, 2697, 1004, 945, 616, 7783, 865, 602, 3527, 666, 581, 3144, 547, 2061, 873, 689, 10825, 519, 3644, 547, 1866, 563, 2005, 779, 2629, 547, 1174, 945, 568, 7783, 538, 1931, 547, 917, 1018, 2115, 547, 581, 2944, 547, 3970, 519, 3262, 540, 3968, 543, 547, 6895, 1346, 7783, 865, 602, 11215, 666, 581, 13950, 950, 2877, 269, 13281, 849, 568, 1271, 538, 519, 8273, 1857, 1072, 4605, 593, 17846, 3646, 267, 4543, 22602, 21656, 519, 9860, 267, 3262, 543, 21380, 1145, 540, 519, 2068, 563, 16966, 547, 4152, 538, 18096, 814, 1044, 4101, 1813, 547, 606, 13385, 4390, 547, 1569, 543, 17982, 10368, 4255, 269, 1717, 267, 4390, 585, 4152, 568, 3533, 9750, 538, 18096, 267, 865, 1210, 713, 4390, 547, 1732, 1174, 519, 8831, 540, 3968, 2429, 519, 1533, 543, 547, 3713, 2665, 602, 1131, 6382, 711, 581, 8995, 269, 634, 18058, 28154, 786, 4196, 607, 606, 7533, 851, 540, 513, 2361, 2319, 945, 786, 948, 2697, 543, 15313, 10820, 547, 1491, 851, 538, 4152, 538, 1931, 547, 5352, 513, 811, 2347, 4605, 540, 16568, 17336, 268, 273, 3968, 6384, 538, 18096, 563, 268, 12160, 622, 538, 519, 1184, 540, 7114, 513, 3732, 540, 6098, 10820, 896, 519, 4287, 540, 606, 11763, 2068, 16917, 328, 11043, 2319, 563, 268, 29130, 10820, 547, 519, 1788, 543, 8430, 873, 585, 4152, 563, 268, 13159, 11311, 543, 16601, 2866, 547, 2327, 3106, 543, 7413, 270, 601, 574, 3729, 519, 6771, 540, 2068, 1282, 1247, 2324, 563, 268, 20821, 2534, 543, 7607, 6859, 607, 8655, 676, 28643, 563, 268, 13159, 782, 8989, 607, 2838, 676, 16108, 543, 519, 3557, 540, 18096, 563, 268, 4400, 3427, 24547, 5448, 454, 268, 18771, 581, 513, 1699, 6280, 2875, 454, 268, 16200, 2792, 1983, 454, 268, 31727, 547, 960, 2838, 16131, 454, 268, 8447, 26176, 2088, 547, 3802, 909, 547, 476, 275, 5195, 513, 1554, 454, 7093, 325, 3720, 7981, 27491, 12834, 0, 6637, 476, 1724, 585, 596, 782, 269, 1403, 596, 1616, 547, 1832, 593, 2542, 1412, 763, 594, 1188, 629, 690, 262, 693, 1753, 1287, 1246, 713, 3095, 4179, 2517, 4178, 31677, 1157, 629, 690, 2593, 270, 1348, 7308, 3613, 800, 13045, 13425, 1394, 2663, 538, 519, 3018, 547, 5873, 519, 1985, 11271, 540, 1412, 763, 594, 1188, 629, 690, 9538, 19402, 1287, 267, 723, 513, 8748, 543, 3860, 3018, 2336, 305, 13741, 1080, 3163, 10432, 476, 3066, 628, 4873, 268, 274, 6113, 5147, 454, 2252, 596, 616, 7508, 707, 13004, 267, 4945, 593, 519, 3095, 2630, 585, 513, 8691, 543, 6498, 23519, 269, 1411, 1223, 2119, 547, 2347, 476, 272, 268, 273, 3817, 513, 1554, 7258, 707, 2257, 2238, 563, 296, 4126, 596, 4312, 1185, 513, 17681, 15964, 269, 634, 3141, 814, 1044, 3843, 547, 2097, 856, 1586, 543, 594, 1589, 649, 616, 1813, 1776, 1360, 3636, 3018, 269, 8347, 547, 1205, 3544, 607, 1454, 607, 2009, 563, 1607, 3018, 707, 1753, 1565, 568, 6140, 2469, 547, 581, 4058, 543, 8876, 856, 707, 1360, 1378, 11846, 4303, 256, 16593, 2685, 713, 786, 581, 6266, 540, 1187, 585, 596, 543, 707, 3885, 563, 296, 723, 23345, 29745, 547, 1451, 713, 3018, 267, 855, 1100, 1007, 10259, 960, 269, 634, 3803, 4374, 540, 2165, 616, 513, 4960, 585, 596, 547, 2638, 1394, 936, 707, 29745, 689, 713, 1032, 543, 1118, 2386, 596, 616, 5150, 609, 782, 519, 10259, 3270, 543, 3652, 649, 723, 19927, 269, 5213, 1405, 7340, 267, 596, 1058, 849, 581, 2111, 547, 1224, 543, 11963, 519, 1913, 689, 519, 1455, 9868, 2262, 1592, 630, 9767, 1185, 513, 5299, 540, 713, 2366, 1753, 538, 707, 17835, 8094, 296, 723, 1305, 596, 930, 1603, 547, 798, 713, 3018, 630, 5408, 13723, 593, 519, 7470, 2630, 607, 1134, 607, 519, 32029, 594, 723, 23345, 264, 543, 972, 616, 513, 7008, 540, 1007, 11271, 540, 938, 1650, 585, 596, 547, 6432, 547, 607, 1134, 269, 11427, 11875, 2044, 849, 2366, 1753, 513, 1603, 4305, 538, 1200, 20394, 593, 11016, 267, 865, 2119, 547, 723, 513, 979, 693, 713, 1932, 952, 596, 723, 942, 563, 8855, 267, 519, 1412, 5978, 12567, 262, 1888, 7470, 568, 1869, 972, 547, 1832, 596, 11112, 538, 519, 1310, 7224, 976, 563, 313, 7112, 713, 3018, 786, 581, 593, 11016, 693, 476, 1556, 600, 585, 1453, 945, 616, 693, 1753, 563, 296, 9364, 2648, 547, 917, 875, 596, 616, 3478, 593, 543, 875, 707, 11846, 4303, 4422, 713, 3018, 693, 1753, 2336, 2419, 9532, 476, 1556, 1299, 476, 1321, 2483, 5970, 513, 1413, 693, 1018, 681, 13741, 1080, 1453, 723, 1044, 3257, 693, 1753, 5063, 2483, 1692, 616, 596, 286, 594, 4126, 596, 723, 1044, 11981, 519, 1888, 960, 782, 827, 1412, 5978, 12567, 262, 607, 1134, 607, 707, 2296, 543, 13174, 2238, 269, 594, 6415, 15962, 2542, 1412, 763, 594, 1188, 629, 690, 262, 543, 666, 1405, 7227, 547, 1265, 856, 1018, 4523, 1985, 2336, 2005, 729, 1390, 547, 1294, 865, 1082, 540, 596, 593, 519, 2063, 24680, 1289, 269, 3427, 568, 1360, 9602, 1510, 596, 782, 1934, 267, 594, 6415, 7508, 596, 1360, 1454, 269, 594, 6415, 2731, 20938, 602, 649, 666, 782, 3251, 1927, 585, 1776, 1032, 910, 713, 942, 607, 1032, 476, 274, 14068, 7970, 256, 2201, 602, 4063, 267, 3314, 547, 1711, 596, 3983, 3455, 1249, 3758, 543, 11247, 4712, 547, 1397, 721, 782, 593, 11016, 630, 1492, 24680, 8400, 786, 581, 693, 476, 273, 10975, 8094, 5970, 513, 1390, 3018, 543, 1205, 538, 5905, 952, 596, 991, 4376, 267, 610, 1616, 547, 1397, 803, 1022, 540, 707, 960, 563, 13043, 338, 2200, 666, 581, 1336, 2630, 269, 901, 3018, 649, 616, 2847, 2358, 2724, 912, 8967, 2454, 2200, 910, 3314, 547, 2638, 799, 1895, 596, 616, 538, 543, 1152, 2824, 519, 2200, 2877, 585, 707, 1895, 912, 2080, 568, 519, 2296, 17948, 585, 713, 3018, 781, 960, 827, 1412, 763, 594, 1188, 629, 690, 9538, 2353, 519, 7044, 540, 11271, 2877, 585, 713, 3018, 781, 1565, 666, 581, 1336, 2630, 269, 5269, 2386, 596, 20801, 1524, 547, 1265, 519, 11271, 596, 991, 2336, 2419, 9532, 476, 278, 1299, 476, 279, 2483, 296, 4126, 596, 782, 723, 513, 1390, 3018, 2407, 540, 1565, 543, 1187, 2483, 5472, 13004, 2200, 585, 6482, 713, 3018, 666, 581, 1336, 538, 519, 3758, 1592, 2630, 912, 8967, 2454, 2200, 666, 581, 1336, 2630, 269, 5457, 547, 2638, 799, 1895, 596, 616, 538, 547, 917, 799, 2200, 596, 991, 547, 4647, 912, 12626, 960, 713, 3018, 11438, 593, 689, 2063, 3018, 269, 8281, 519, 17948, 676, 14467, 593, 519, 3095, 2630, 269, 901, 6645, 596, 950, 547, 6432, 547, 519, 7044, 543, 950, 547, 4163, 856, 1114, 4247, 269, 594, 4126, 596, 616, 11981, 519, 1007, 1650, 607, 1454, 607, 594, 993, 2336, 2419, 9532, 476, 274, 1299, 476, 275, 2483, 2419, 9532, 476, 276, 1299, 476, 277, 2483, 15916, 681, 13741, 1080, 4147, 2676, 296, 666, 1405, 3494, 14182, 568, 519, 1376, 540, 2165, 476, 277, 267, 707, 3803, 2165, 607, 513, 1032, 476, 273, 256, 594, 4126, 596, 782, 10150, 519, 3368, 2165, 2736, 267, 2523, 607, 519, 4365, 729, 865, 4190, 563, 296, 723, 9709, 6266, 547, 1832, 596, 11112, 713, 3018, 269, 5269, 2386, 596, 1224, 519, 7650, 3561, 547, 1265, 856, 1018, 596, 991, 547, 798, 585, 1142, 1641, 269, 2353, 2200, 616, 23345, 267, 596, 949, 1175, 991, 547, 20801, 1524, 513, 2370, 3787, 563, 5978, 2898, 1153, 1888, 713, 2165, 568, 1412, 5978, 12567, 262, 543, 594, 723, 23345, 519, 7470, 585, 596, 547, 960, 998, 936, 519, 1985, 1906, 4374, 269, 5457, 267, 891, 616, 1175, 930, 2093, 267, 596, 666, 581, 607, 3860, 607, 596, 899, 2336, 296, 917, 713, 3884, 1405, 519, 8912, 4832, 2165, 649, 941, 782, 24584, 267, 855, 23248, 596, 616, 782, 1869, 1373, 2731, 1434, 585, 707, 3237, 543, 11981, 942, 609, 707, 3885, 563, 296, 1413, 4464, 547, 7487, 596, 1586, 4166, 593, 24680, 630, 30956, 5661, 786, 581, 4757, 539, 547, 3237, 713, 3018, 4700, 5620, 513, 8748, 3018, 2336, 13043, 338, 2534, 7470, 267, 17948, 543, 2200, 666, 581, 1336, 538, 519, 3758, 1592, 2630, 912, 8967, 2454, 2200, 910, 3314, 547, 2638, 799, 1895, 596, 616, 2336, 12626, 960, 713, 3018, 568, 782, 2143, 593, 519, 17948, 269, 8437, 519, 3095, 2630, 547, 1569, 713, 269, 5457, 267, 1152, 6432, 547, 519, 7044, 540, 519, 1650, 950, 621, 6645, 596, 547, 2336, 310, 5109, 782, 540, 681, 13741, 1080, 4147, 513, 2922, 267, 6126, 543, 11791, 3368, 2165, 2483, 305, 5723, 289, 3951, 306, 14160, 19798, 8863, 17920, 2894, 12283, 454, 7312, 4161, 713, 3018, 267, 607, 5941, 593, 938, 24680, 1289, 267, 568, 547, 1711, 1945, 856, 540, 4376, 799, 1131, 2356, 581, 16207, 2476, 610, 13381, 267, 552, 3052, 269, 23611, 10833, 267, 5144, 7047, 976, 267, 10051, 5066, 13740, 269, 2422, 707, 4337, 5209, 543, 581, 607, 3860, 607, 596, 666, 269, 1411, 723, 2394, 1985, 13628, 630, 2641, 560, 2904, 264, 547, 1711, 707, 2203, 269, 1411, 666, 1287, 1397, 3025, 707, 5137, 1282, 938, 1985, 24680, 1289, 267, 799, 786, 581, 693, 476, 273, 10975, 593, 13628, 713, 3018, 269, 594, 1131, 849, 2648, 930, 6337, 547, 2322, 593, 519, 3896, 585, 3025, 547, 1294, 563, 8340, 2630, 513, 7470, 540, 13004, 2238, 267, 32029, 543, 782, 2200, 2877, 585, 13004, 4247, 713, 3018, 2483, 8448, 2200, 585, 3018, 4098, 476, 1240, 269, 276, 269, 736, 912, 310, 16093, 995, 966, 292, 4303, 16873, 2336, 2252, 596, 616, 4881, 856, 540, 1919, 547, 1224, 693, 1753, 267, 610, 1131, 899, 513, 3099, 540, 1257, 2010, 267, 5225, 1129, 909, 547, 10228, 26449, 585, 1863, 552, 9248, 269, 7427, 519, 3095, 2630, 547, 1129, 909, 543, 1569, 593, 1606, 10547, 2542, 2835, 5532, 547, 1433, 13164, 1031, 693, 1153, 563, 296, 4126, 596, 616, 782, 11981, 519, 4871, 9702, 15964, 269, 1215, 941, 707, 966, 292, 4303, 16873, 593, 11016, 286, 594, 9364, 2648, 547, 1294, 930, 6337, 256, 594, 4682, 593, 513, 1279, 11332, 11878, 630, 2641, 14790, 14386, 543, 1185, 513, 17681, 29851, 304, 538, 519, 4677, 563, 14188, 596, 547, 3025, 945, 814, 2366, 803, 513, 4484, 1394, 865, 2484, 269, 594, 723, 6068, 6679, 873, 909, 543, 2542, 782, 827, 1018, 596, 723, 1044, 909, 547, 269, 1403, 596, 10093, 1405, 2366, 803, 513, 16253, 2943, 267, 596, 1869, 666, 256, 7490, 2232, 5022, 547, 803, 267, 20171, 873, 547, 519, 1153, 2232, 563, 2005, 729, 1390, 547, 1294, 865, 1082, 540, 596, 693, 938, 28652, 8400, 593, 13628, 269, 594, 4126, 547, 1294, 596, 1586, 1985, 3018, 269, 594, 786, 6494, 856, 782, 540, 519, 3877, 547, 707, 3237, 683, 13145, 519, 942, 563, 29309, 22823, 814, 5280, 547, 1544, 930, 540, 707, 1753, 1565, 713, 3018, 269, 1703, 568, 6266, 547, 1832, 596, 11112, 2336, 296, 4126, 596, 616, 782, 1869, 2922, 543, 1134, 693, 1753, 609, 707, 3885, 269, 594, 4413, 596, 782, 865, 1454, 267, 855, 594, 993, 14281, 693, 875, 3533, 519, 4374, 3100, 547, 581, 2469, 676, 563, 16605, 1373, 1434, 543, 1265, 8788, 538, 1142, 1554, 2336, 8340, 2630, 513, 7470, 540, 13004, 2238, 543, 2200, 2877, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 31474, 781, 9837, 31474, 1185, 513, 7787, 855, 2912, 20160, 3483, 281, 1100, 6109, 2626, 267, 1175, 2451, 4351, 16559, 24616, 543, 972, 616, 7440, 593, 2436, 31474, 4941, 621, 547, 581, 513, 1483, 4838, 610, 621, 729, 1175, 513, 6071, 1625, 613, 286, 634, 5856, 11099, 31474, 1705, 20053, 621, 547, 581, 513, 1483, 12316, 3350, 955, 268, 3891, 12038, 540, 595, 9573, 1185, 28115, 730, 883, 513, 1007, 15194, 1362, 607, 513, 1483, 2104, 7872, 269, 1261, 849, 7142, 1010, 8284, 3401, 547, 3398, 519, 476, 1626, 2798, 540, 476, 279, 267, 279, 476, 3422, 277, 269, 515, 729, 519, 18678, 6205, 538, 3624, 543, 621, 729, 711, 2352, 585, 1864, 547, 1625, 613, 930, 3401, 971, 607, 20568, 667, 1263, 538, 9549, 563, 14367, 3800, 281, 3689, 267, 8830, 613, 1082, 3609, 6194, 27498, 543, 519, 17594, 540, 1896, 3609, 6741, 322, 4328, 4703, 1369, 9549, 269, 5822, 267, 24135, 519, 13253, 1063, 5481, 543, 5000, 5322, 540, 519, 4414, 2871, 1841, 269, 12059, 267, 946, 519, 4414, 15050, 547, 7519, 17531, 29386, 6296, 543, 8749, 519, 1412, 14585, 4533, 262, 11464, 883, 519, 10754, 269, 1280, 628, 267, 946, 519, 7952, 547, 22738, 519, 2556, 796, 4328, 543, 25640, 3252, 5892, 5340, 676, 519, 9549, 543, 2229, 269, 25004, 267, 2813, 1007, 3906, 971, 607, 519, 11180, 2199, 2950, 547, 20882, 519, 1762, 3556, 619, 945, 616, 10121, 547, 31474, 547, 1491, 1379, 4586, 300, 7776, 8959, 547, 16977, 1010, 3804, 269, 634, 4414, 15050, 23012, 1010, 1852, 543, 3366, 519, 2898, 2197, 547, 14784, 269, 634, 1379, 6560, 5949, 538, 1142, 1377, 540, 519, 15796, 543, 519, 2898, 2197, 14059, 538, 513, 1533, 540, 6406, 2782, 563, 2690, 31474, 267, 519, 10569, 547, 1379, 941, 1702, 543, 2442, 1489, 6508, 689, 519, 1004, 781, 5132, 538, 519, 1898, 22556, 543, 16495, 540, 741, 17710, 912, 3891, 5206, 538, 1412, 4002, 5019, 26167, 2782, 262, 2904, 476, 4350, 279, 281, 763, 7952, 1590, 1831, 835, 609, 519, 1004, 865, 602, 789, 1294, 621, 607, 741, 1378, 7952, 269, 6270, 606, 7952, 786, 581, 1045, 4532, 1043, 563, 1103, 1412, 4002, 29663, 6554, 262, 4989, 476, 3707, 276, 267, 515, 11130, 602, 1169, 635, 8565, 1590, 581, 5280, 547, 1174, 602, 607, 1279, 607, 649, 7048, 593, 519, 1004, 267, 3494, 16119, 538, 519, 538, 1410, 9151, 1043, 3860, 1379, 540, 519, 13999, 543, 8754, 3972, 543, 2697, 6000, 609, 873, 267, 649, 666, 1147, 25236, 1022, 7411, 267, 543, 1100, 10546, 666, 24807, 721, 1247, 649, 666, 24807, 1022, 10546, 563, 300, 7776, 607, 513, 17199, 2433, 300, 7776, 570, 572, 2389, 2426, 729, 519, 1101, 1851, 519, 1390, 31767, 3401, 547, 1020, 513, 3102, 543, 2347, 31767, 4108, 1899, 543, 1062, 540, 2219, 593, 4108, 12602, 269, 31474, 3366, 519, 4457, 19797, 9549, 267, 519, 4457, 1004, 543, 519, 11439, 4229, 896, 519, 19797, 9549, 781, 5718, 538, 519, 1114, 2112, 21971, 476, 955, 268, 28785, 560, 519, 2112, 331, 3581, 267, 1996, 519, 5114, 776, 12512, 540, 15616, 836, 918, 2967, 1606, 515, 330, 267, 1287, 538, 519, 8087, 4395, 1996, 3567, 538, 519, 4550, 11219, 17702, 2112, 267, 543, 693, 2063, 538, 519, 2112, 540, 19802, 1996, 15616, 836, 918, 2967, 1606, 515, 330, 2073, 6518, 8507, 538, 519, 19802, 540, 3624, 538, 476, 3707, 280, 563, 14367, 1646, 540, 14100, 1143, 6441, 523, 24452, 609, 2543, 547, 13137, 729, 5702, 5532, 609, 519, 1915, 540, 519, 4457, 4838, 15301, 13510, 752, 1014, 3192, 280, 15545, 303, 6078, 994, 2005, 729, 593, 519, 4493, 602, 7157, 5659, 519, 1915, 540, 4457, 2486, 540, 519, 4457, 4838, 538, 2489, 602, 31474, 2919, 519, 4640, 540, 9591, 519, 3490, 2127, 267, 530, 1645, 1486, 26167, 2112, 547, 3295, 519, 4872, 689, 519, 24781, 543, 6368, 7001, 519, 4872, 543, 3094, 18487, 2797, 1379, 267, 519, 2953, 4155, 593, 799, 31474, 3366, 519, 4457, 13999, 538, 530, 1645, 519, 3811, 12316, 6560, 538, 3624, 15301, 13510, 752, 1014, 476, 3192, 280, 281, 303, 6246, 994, 1103, 10496, 13196, 2871, 650, 1069, 1794, 781, 2376, 519, 5856, 14659, 602, 31474, 729, 28093, 4240, 609, 519, 6891, 540, 18326, 693, 513, 1360, 2038, 3942, 1547, 5472, 4457, 1153, 18244, 540, 1010, 2085, 1224, 519, 23620, 540, 519, 8422, 3751, 20819, 610, 4826, 12540, 514, 269, 1261, 729, 7184, 6766, 543, 8179, 538, 519, 891, 2835, 3631, 585, 1010, 32249, 27606, 269, 4438, 519, 8832, 30609, 819, 263, 4572, 277, 268, 4572, 278, 1070, 515, 2808, 519, 21037, 540, 1379, 607, 12492, 762, 5097, 998, 7839, 32066, 909, 5142, 902, 563, 4572, 278, 32586, 2736, 540, 918, 21587, 543, 595, 9573, 269, 634, 595, 9573, 4957, 922, 4683, 543, 2324, 1362, 1915, 547, 1831, 513, 6917, 543, 32066, 9549, 269, 634, 4358, 1448, 540, 31474, 781, 4108, 1995, 568, 519, 4201, 4379, 28610, 772, 19828, 538, 5181, 476, 4572, 278, 20193, 8959, 1317, 621, 568, 21354, 5423, 543, 6896, 3973, 31474, 556, 553, 5145, 1194, 519, 6967, 19625, 540, 1202, 4026, 757, 693, 519, 3723, 540, 519, 932, 532, 330, 836, 3333, 534, 269, 1261, 1185, 1152, 513, 1906, 4627, 14605, 11439, 2367, 855, 1287, 519, 932, 532, 330, 836, 3333, 534, 1831, 519, 3854, 602, 646, 729, 547, 1628, 519, 4108, 19539, 540, 1010, 9549, 563, 4572, 279, 32586, 1079, 5931, 834, 3963, 568, 621, 602, 4414, 11572, 5295, 2052, 1401, 626, 538, 3624, 8119, 263, 276, 5239, 267, 4572, 279, 264, 543, 834, 1805, 745, 24327, 538, 519, 932, 532, 330, 836, 15142, 257, 7152, 519, 7415, 6708, 547, 799, 31474, 1185, 2907, 9787, 539, 543, 15849, 23624, 519, 1898 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3165, 2344, 1040, 634, 8265, 729, 513, 1747, 585, 2695, 520, 1562, 538, 519, 476, 2735, 271, 338, 543, 729, 1134, 1634, 676, 519, 2923, 950, 972, 941, 834, 321, 25114, 257, 1063, 519, 32534, 3350, 543, 519, 7128, 269, 2368, 2695, 1846, 1869, 2291, 972, 267, 1498, 519, 834, 3199, 338, 5336, 2814, 257, 568, 4666, 269, 1411, 666, 979, 547, 519, 15722, 802, 8663, 834, 517, 30448, 17333, 1729, 257, 610, 3548, 693, 519, 834, 309, 334, 298, 6686, 257, 9497, 14157, 343, 330, 6686, 3832, 257, 910, 513, 1895, 5986, 2680, 267, 693, 799, 519, 7594, 568, 6039, 1863, 540, 5279, 610, 693, 1942, 1916, 268, 476, 1626, 19468, 956, 268, 5522, 28739, 630, 6826, 520, 956, 12384, 264, 630, 520, 519, 7944, 540, 1234, 4177, 321, 23167, 543, 717, 4592, 572, 6154, 328, 15241, 1040, 1703, 568, 513, 17001, 22632, 532, 519, 19468, 956, 269, 4746, 538, 519, 1234, 4177, 321, 23167, 1858, 616, 15731, 1141, 519, 19468, 956, 5129, 693, 1585, 2053, 689, 476, 3422, 271, 547, 476, 3422, 273, 267, 1519, 519, 1473, 571, 8630, 543, 10060, 11833, 563, 268, 476, 1704, 717, 4592, 572, 6154, 328, 15241, 630, 15124, 15213, 1040, 769, 519, 31355, 8265, 972, 616, 513, 2603, 540, 13063, 543, 15731, 910, 513, 1390, 1747, 547, 979, 538, 519, 10543, 267, 4352, 621, 781, 1360, 22125, 543, 621, 949, 1205, 513, 3787, 5906, 538, 519, 15964, 269, 2201, 3018, 17058, 267, 621, 568, 20027, 1934, 910, 513, 1970, 1532, 644, 1326, 9133, 568, 267, 476, 4200, 2578, 4446, 267, 799, 3091, 2731, 1082, 10425, 585, 10416, 24843, 272, 269, 2201, 519, 15964, 267, 596, 786, 723, 547, 2628, 606, 13675, 13927, 540, 24843, 272, 855, 621, 781, 1869, 519, 1655, 1747, 547, 979, 6704, 593, 513, 6578, 269, 634, 8265, 729, 3957, 538, 476, 14065, 271, 1310, 519, 1249, 602, 4032, 29527, 540, 5576, 320, 3518, 4026, 543, 4591, 7322, 6261, 514, 928, 6199, 1185, 11292, 3909, 5191, 547, 1875, 6441, 9801, 753, 971, 607, 631, 3317, 517, 2572, 543, 4936, 23597, 547, 2259, 741, 5132, 1934, 543, 5010, 5191, 585, 1688, 28755, 1123, 338, 711, 19801, 538, 519, 3116, 8903, 1368, 843, 338, 269, 4653, 621, 568, 851, 540, 519, 2699, 1769, 8664, 563, 268, 476, 1240, 17713, 25575, 1499, 268, 5522, 28739, 269, 9737, 1234, 4177, 321, 23167, 543, 29464, 14259, 29967, 324, 269, 1703, 781, 513, 18189, 585, 606, 17076, 945, 729, 10229, 519, 918, 773, 345, 630, 305, 2465, 704, 321, 23167, 1040, 10507, 29347, 958, 519, 7260, 23108, 29967, 324, 6154, 328, 15241, 6613, 1067, 476, 278, 5280, 1818, 519, 918, 773, 345, 4583, 563, 268, 476, 866, 29464, 14259, 29967, 324, 269, 634, 12473, 10938, 540, 519, 2699, 2000, 697, 8664, 267, 713, 2110, 8265, 8255, 6252, 547, 1234, 4177, 321, 23167, 568, 6806, 1055, 676, 19235, 689, 1312, 7475, 269, 20661, 1152, 543, 10344, 568, 14553, 17049, 563, 268, 476, 736, 1975, 1408, 321, 644, 523, 680, 28739, 269, 634, 1747, 3893, 922, 2012, 689, 519, 7038, 619, 8380, 909, 2982, 1934, 585, 25501, 689, 782, 936, 519, 1158, 1394, 538, 519, 1554, 269, 1280, 1383, 6004, 269, 670, 10402, 3724, 630, 15367, 8118, 519, 23291, 6288, 538, 519, 2749, 264, 7604, 1078, 1010, 4262, 21495, 1934, 269, 4653, 621, 568, 11303, 676, 1896, 28503, 1519, 853, 269, 6754, 328, 14364, 267, 5576, 28704, 781, 570, 643, 10008, 2073, 5576, 28704, 781, 26308, 543, 14956, 699, 339, 1084, 27346, 563, 1607, 29117, 568, 1063, 590, 1678, 339, 6754, 328, 267, 661, 15501, 321, 6686, 1777, 601, 267, 543, 1325, 2023, 320, 269, 5192, 856, 590, 3179, 2559, 2763, 6728, 543, 3802, 1524, 590, 2559, 7999, 14259, 29967, 324, 5045, 1189, 547, 3914, 519, 12667, 8998, 540, 590, 2559, 7999, 12858, 1068, 601, 269, 4841, 543, 11082, 689, 782, 1472, 519, 1158, 543, 1762, 1525, 1161, 2285, 713, 10116, 513, 2189, 543, 4683, 1166, 1515, 269, 590, 2559, 7999, 12858, 1068, 601, 814, 1831, 1360, 2442, 1851, 1256, 14547, 1004, 269, 901, 3366, 547, 8375, 2713, 3790, 593, 519, 835, 1688, 543, 513, 3099, 540, 27610, 536, 719, 2294, 593, 519, 824, 269, 634, 5576, 592, 614, 4565, 3430, 8265, 609, 519, 681, 1774, 7579, 320, 2679, 543, 922, 7523, 648, 540, 13063, 543, 14060, 4564, 519, 8998, 540, 590, 2559, 7999, 12858, 1068, 601, 563, 268, 476, 2641, 681, 1774, 7579, 320, 269, 901, 2679, 1031, 547, 581, 519, 2063, 2695, 520, 1540, 2777, 538, 31297, 267, 621, 781, 1631, 2451, 547, 519, 2695, 520, 1562, 585, 1863, 676, 519, 8227, 269, 4438, 519, 3018, 267, 621, 568, 5828, 883, 513, 22538, 2946, 267, 30145, 540, 1585, 6163, 610, 824, 2621, 949, 849, 1491, 1747, 269, 2201, 930, 2395, 972, 568, 10464, 630, 2865, 569, 17154, 264, 1426, 2139, 269, 1411, 666, 3006, 1265, 9735, 6105, 585, 1507, 5777, 593, 11016, 543, 14349, 563, 763, 10127, 22223, 523, 12858, 1068, 601, 630, 10193, 1634, 607, 10127, 990, 328, 1068, 601, 264, 666, 581, 3379, 547, 519, 590, 2559, 7999, 12858, 1068, 601, 267, 543, 568, 16922, 540, 513, 3099, 540, 476, 866, 628, 268, 543, 476, 736, 628, 10601, 512, 2940, 906, 267, 799, 1419, 4183, 5007, 4401, 2914, 3754, 3595, 24383, 543, 7990, 995, 2199, 8637, 267, 4758, 519, 1858, 513, 10169, 1977, 642, 32079, 269, 16511, 1023, 945, 12797, 519, 1858, 3409, 602, 519, 590, 2559, 7999, 12858, 1068, 601, 2968, 1932, 2442, 910, 543, 3976, 22125, 910, 855, 519, 10127, 990, 328, 1068, 601, 568, 2484, 689, 9602, 269, 634, 1292, 18845, 616, 2189, 813, 28328, 15945, 267, 930, 540, 799, 616, 2034, 1688, 269, 1677, 1205, 972, 1491, 519, 22671, 309, 547, 2901, 674, 15505, 14259, 29967, 324, 630, 3891, 559, 580, 3188, 626, 26709, 264, 610, 12379, 572, 327, 718, 523, 1016, 3118, 6728, 563, 763, 5449, 8498, 12228, 27255, 267, 536, 23912, 676, 519, 5211, 4432, 2041, 538, 519, 5045, 543, 519, 1325, 2023, 320, 13749, 538, 519, 7532, 267, 568, 711, 7429, 590, 2559, 7999, 12858, 1068, 601, 267, 513, 1360, 12048, 1747, 547, 2661, 269, 769, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 12228, 27255, 729, 5631, 20651, 676, 5695, 802, 267, 2324, 11665, 1004, 267, 543, 2797, 15628, 269, 27009, 267, 621, 568, 835, 540, 519, 1034, 7199, 29117, 338, 269, 4706, 3510, 543, 519, 6189, 1577, 1082, 11317, 1256, 2221, 3717, 540, 12228, 27255, 607, 513, 8498, 269, 634, 28529, 20891, 267, 606, 4244, 13447, 10689, 267, 568, 13883, 693, 4446, 1676, 14259, 29967, 324, 269, 8307, 513, 1906, 7161, 2476, 6013, 14858, 1047, 327, 718, 523, 267, 513, 12051, 2679, 602, 568, 1631, 1753, 547, 513, 7260, 16222, 267, 513, 19922, 267, 513, 13962, 267, 543, 513, 2835, 7749, 563, 302, 1777, 27660, 670, 879, 696, 14259, 29967, 324, 543, 645, 15786, 325, 601, 1457, 18135, 29967, 324, 267, 15385, 693, 519, 1975, 761, 7999, 680, 28739, 267, 2709, 513, 5458, 3099, 540, 1507, 15945, 543, 536, 626, 4592, 563, 268, 476, 2420, 10271, 330, 1844, 515, 269, 25724, 5939, 538, 12228, 27255, 563, 268, 476, 2537, 14858, 1047, 8065, 523, 267, 17054, 839, 4150, 324, 476, 278, 268, 280, 269, 634, 31508, 941, 3710, 538, 476, 6977, 278, 585, 519, 14858, 1047, 2754, 5663, 6928, 2694, 269, 634, 2754, 4682, 11861, 538, 476, 3192, 280, 267, 543, 19951, 519, 2686, 6561, 2679, 568, 1031, 607, 513, 2686, 4099, 609, 513, 7260, 14364, 563, 7922, 1678, 523, 3150, 729, 513, 10068, 8498, 593, 519, 4432, 2041, 547, 519, 22236, 540, 31297, 269, 898, 6013, 538, 513, 14860, 1063, 1079, 540, 519, 1152, 31393, 538, 519, 1858, 602, 8255, 2786, 1524, 547, 519, 5757, 269, 901, 909, 18566, 1016, 7875, 540, 31297, 814, 811, 2929, 320, 2231, 982, 1022, 824, 4436, 2749, 269, 2201, 13566, 32300, 267, 519, 1747, 786, 581, 2407, 540, 31297, 619, 972, 547, 2972, 519, 6263, 17822, 267, 519, 23090, 10754, 267, 543, 519, 23406, 8075, 269, 2349, 1678, 523, 3150, 568, 1851, 519, 1034, 28677, 2694, 540, 31297, 563, 2414, 1205, 972, 267, 1491, 519, 590, 272, 547, 11205, 601, 610, 519, 590, 1556, 547, 2349, 1678, 523, 3150, 269, 634, 5721, 6728, 6013, 693, 519, 1283, 540, 519, 14860, 267, 593, 15840, 333, 327, 1993, 14259, 29967, 324, 269, 3619, 2786, 2066, 15840, 333, 327, 1993, 14259, 29967, 324, 543, 707, 786, 1265, 519, 8492, 267, 606, 7969, 15074, 831, 807, 543, 22538, 2946, 267, 519, 2344, 4009, 630, 5658, 1115, 1930, 2038, 543, 2673, 693, 476, 1724, 281, 876, 593, 654, 267, 674, 267, 543, 15223, 1070, 519, 536, 6033, 625, 267, 17365, 4558, 267, 543, 2022, 5604, 563, 268, 476, 2190, 7233, 523, 796, 2349, 1580, 630, 308, 272, 5153, 327, 753, 680, 28739, 543, 590, 2641, 1341, 590, 4029, 667, 2459, 30004, 1040, 11545, 1930, 2394, 476, 2537, 281, 876, 267, 538, 4989, 2394, 476, 2420, 281, 876, 269, 5682, 17346, 616, 1930, 1282, 519, 4832, 4005, 630, 11321, 268, 12914, 2567, 631, 6363, 476, 6021, 281, 876, 268, 1626, 281, 3393, 267, 15223, 2672, 543, 14812, 476, 1015, 281, 876, 268, 1704, 281, 3393, 267, 5162, 4005, 630, 22261, 6363, 20623, 264, 631, 6363, 476, 6021, 281, 876, 268, 1428, 281, 3393, 267, 15223, 2672, 267, 14812, 476, 1015, 281, 876, 268, 1428, 281, 3393, 269, 901, 6288, 568, 13148, 593, 519, 2025, 2749, 3774, 540, 31297, 269, 1325, 2819, 538, 519, 476, 4350, 271, 338, 519, 5449, 18186, 1670, 6288, 729, 28889, 601, 539, 883, 513, 6177, 543, 9913, 335, 1046, 585, 519, 13722, 4436, 12567, 1401, 22128, 630, 301, 1221, 518, 1372, 583, 22385, 717, 691, 839, 577, 879, 1040, 2991, 2072, 621, 729, 32206, 585, 1614, 3486, 4677, 2982, 538, 476, 4198, 274, 267, 476, 3422, 274, 543, 476, 3192, 274, 269, 634, 27386, 4677, 729, 5828, 883, 513, 6288, 5251, 267, 543, 729, 6410, 547, 21890, 514, 4469, 2714, 31990, 538, 1325, 2023, 320, 538, 476, 3192, 280, 269, 634, 9341, 3039, 17346, 3710, 538, 476, 3422, 273, 270, 8287, 616, 1869, 972, 269, 6902, 1103, 519, 4832, 3275, 972, 616, 3232, 2982, 585, 3214, 609, 804, 12495, 267, 4012, 5974, 543, 2235, 639, 5159, 607, 1134, 607, 14364, 269, 769, 519, 2575, 533, 822, 11669, 972, 616, 30145, 1169, 10543, 563, 268, 5545, 4677, 630, 2735, 279, 264, 609, 7401, 2777, 454, 268, 14986, 4677, 630, 1960, 274, 994, 268, 23427, 3039, 17346, 910, 1863, 7127, 454, 268, 634, 10720, 540, 519, 6288, 454, 268, 634, 7401, 2777, 454, 268, 476, 1839, 23514, 27688, 6288, 630, 291, 1144, 519, 5757, 4432, 2041, 2673, 547, 1855, 18860, 1564, 1962, 6686, 1188, 1040, 634, 9510, 3338, 5115, 539, 6288, 538, 31297, 269, 5565, 15882, 267, 23514, 27688, 5600, 543, 21321, 560, 4446, 331, 778, 5600, 267, 616, 538, 519, 6288, 269, 4469, 2714, 31990, 5211, 8928, 998, 519, 6288, 543, 883, 519, 4432, 2041, 693, 1855, 18860, 1564, 1962, 6686, 1188, 563, 268, 476, 2918, 13391, 2720, 5244, 269, 715, 823, 6288, 609, 5784, 547, 519, 4432, 2041, 5757, 563, 268, 476, 2767, 700, 758, 328, 5576, 28704, 717, 6914, 630, 289, 582, 534, 29531, 717, 6914, 3541, 10713, 28059, 31297, 1070, 7937, 333, 1817, 560, 14259, 29967, 324, 630, 306, 5174, 23167, 590, 272, 6728, 21890, 514, 4469, 2714, 31990, 267, 21772, 476, 2641, 543, 476, 12893, 1040, 11545, 1930, 689, 476, 6021, 281, 876, 547, 827, 476, 272, 5662, 1354, 23863, 269, 1280, 513, 2540, 543, 513, 3368, 267, 519, 27386, 4677, 729, 13883, 538, 519, 1699, 7233, 523, 796, 2349, 1580, 6288, 267, 1141, 519, 9341, 3039, 17346, 1869, 2611, 269, 769, 476, 3192, 280, 267, 519, 27386, 4677, 729, 882, 11343, 547, 922, 1699, 1747, 538, 519, 21890, 514, 4469, 2714, 31990, 8664, 269, 769, 519, 7013, 851, 540, 519, 6288, 972, 616, 1896, 873, 539, 10651, 609, 2564, 2371, 267, 3484, 2371, 267, 2371, 12286, 538, 519, 6426, 267, 598, 28875, 267, 9808, 3913, 656, 2371, 267, 20715, 2371, 267, 12219, 2371, 267, 7031, 267, 24712, 543, 513, 9390, 4677, 269, 634, 3844, 851, 568, 6131, 547, 519, 2257, 11008, 1944, 2371, 269, 1703, 596, 666, 1294, 2371, 689, 22465, 2694, 540, 519, 1158, 282, 20195, 14901, 267, 3345, 3013, 543, 2484, 7013, 3162, 3013, 269, 769, 519, 1325, 11017, 1756, 972, 616, 2371, 689, 519, 1164, 7823, 2127, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 10628, 540, 476, 273, 281, 6860, 1295, 270, 1911, 332, 1916, 1432, 568, 519, 1655, 1259, 547, 5721, 585, 513, 2468, 987, 23127, 888, 2252, 596, 2461, 711, 2907, 2469, 547, 519, 15547, 513, 1906, 2395, 513, 3018, 267, 1376, 707, 2866, 609, 2185, 4374, 540, 3257, 930, 1826, 540, 9025, 3635, 1079, 547, 1614, 2053, 513, 3018, 267, 1175, 547, 1628, 707, 3490, 269, 968, 2026, 513, 19444, 2468, 987, 8541, 6238, 741, 2866, 267, 594, 2303, 3257, 1079, 7669, 338, 267, 1079, 21891, 543, 1079, 8255, 829, 3018, 2223, 3081, 15516, 269, 0, 29878, 1076, 267, 799, 3274, 3893, 1934, 1586, 593, 11060, 1310, 1373, 1524, 585, 513, 3923, 267, 814, 9676, 713, 4190, 8523, 540, 513, 14925, 602, 6818, 513, 31417, 476, 1015, 5479, 1769, 26188, 2476, 269, 634, 16263, 666, 1294, 543, 1445, 713, 5458, 3845, 676, 16107, 519, 2702, 540, 8904, 563, 1607, 8523, 540, 19182, 294, 5336, 25320, 279, 267, 1018, 8331, 6257, 607, 513, 968, 16435, 3784, 532, 2462, 892, 799, 814, 2196, 856, 540, 519, 17405, 602, 779, 2838, 547, 1826, 1007, 6801, 267, 568, 29600, 676, 513, 1159, 30568, 540, 2938, 15270, 543, 6801, 602, 9095, 538, 513, 5180, 3732, 269, 634, 26931, 5600, 23571, 779, 12588, 547, 1294, 519, 5458, 9883, 666, 581, 519, 2601, 585, 713, 10058, 7298, 1764, 281, 14965, 7828, 532, 563, 28606, 17067, 713, 29757, 267, 8331, 11613, 3989, 875, 14965, 7828, 532, 1568, 538, 606, 538, 3178, 3381, 267, 2705, 538, 5618, 14965, 7828, 532, 4523, 950, 9543, 689, 513, 11397, 14925, 568, 5705, 569, 25302, 676, 519, 14965, 7485, 540, 606, 18060, 532, 24666, 1843, 269, 32322, 1253, 2176, 1858, 538, 971, 513, 1935, 602, 621, 2306, 606, 968, 641, 6776, 892, 602, 9055, 9543, 538, 519, 4287, 540, 26931, 543, 3091, 621, 519, 8112, 547, 1294, 15270, 799, 666, 581, 2356, 1932, 11397, 547, 581, 6594, 609, 1459, 6791, 543, 15629, 24985, 269, 8331, 6257, 621, 607, 28330, 547, 3843, 676, 1259, 540, 606, 11999, 3172, 4328, 4837, 563, 2108, 22349, 1258, 12002, 666, 946, 14965, 7828, 532, 607, 513, 6986, 3172, 4328, 4837, 267, 28498, 873, 547, 4983, 3615, 899, 11397, 26862, 15270, 799, 1522, 1419, 581, 1932, 13542, 727, 585, 1256, 26931, 547, 8207, 2223, 8331, 6941, 563, 22498, 6941, 602, 713, 8763, 4605, 729, 1500, 9001, 7422, 689, 5216, 4625, 1114, 18342, 12086, 11200, 2429, 1079, 540, 26931, 779, 3063, 9120, 24666, 3457, 281, 519, 32493, 7913, 8254, 585, 24028, 903, 543, 519, 6987, 2400, 2598, 23002, 7913, 8254, 476, 274, 269, 1452, 1079, 3457, 1185, 1044, 2322, 538, 676, 23390, 2429, 26931, 779, 3803, 1079, 1425, 6005, 13485, 281, 4419, 6005, 17030, 476, 274, 289, 799, 7018, 689, 4728, 476, 272, 676, 1259, 540, 4728, 476, 1321, 540, 476, 1220, 273, 543, 4419, 6005, 17030, 476, 275, 267, 799, 7018, 1063, 16393, 476, 1556, 543, 16393, 476, 2190, 476, 1220, 280, 563, 2108, 9961, 15382, 275, 267, 1079, 1007, 3621, 3457, 1185, 1044, 2322, 538, 2443, 519, 15328, 6193, 17959, 15190, 5766, 1429, 630, 26714, 264, 543, 6987, 2400, 2598, 23002, 7913, 8254, 476, 274, 630, 310, 15598, 274, 1070, 892, 8331, 6941, 563, 763, 32493, 7913, 8254, 585, 24028, 903, 729, 2322, 538, 593, 4419, 6005, 17030, 476, 274, 289, 267, 2705, 729, 2219, 540, 513, 968, 325, 9229, 6293, 1848, 901, 729, 30465, 2429, 4419, 6005, 17030, 476, 275, 563, 2108, 10521, 8959, 3457, 267, 519, 5600, 23571, 24919, 15190, 5766, 1429, 630, 306, 2316, 306, 264, 543, 519, 32493, 7913, 8254, 585, 24028, 903, 630, 3722, 306, 1070, 1185, 1044, 2847, 1882, 676, 519, 1101, 268, 1197, 593, 11399, 4226, 18203, 2223, 8331, 5170, 269, 968, 4415, 891, 3646, 267, 26931, 729, 9447, 547, 519, 30085, 540, 922, 3621, 7207, 3034, 29878, 1076, 1185, 1044, 2324, 7683, 585, 476, 4029, 1296, 4505, 982, 513, 1966, 538, 4873, 540, 476, 1708, 272, 3592, 5189, 519, 9682, 26725, 585, 26099, 1524, 269, 2991, 513, 3923, 540, 4074, 267, 8331, 729, 538, 513, 2990, 547, 8207, 519, 1966, 543, 2226, 519, 19416, 16263, 10512, 267, 543, 538, 513, 2990, 547, 8399, 547, 28958, 513, 1906, 540, 519, 1034, 18198, 2592, 540, 519, 7122, 1004, 723, 2479, 2938, 563, 303, 27348, 5491, 281, 30673, 26260, 889, 1076, 1299, 8331, 267, 589, 269, 1715, 2006, 267, 631, 269, 13019, 327, 3333, 1731, 267, 21411, 269, 18724, 6033, 0, 24154, 7588, 779, 10073, 540, 513, 16313, 673, 1106, 540, 2229, 1310, 14412, 5795, 602, 2197, 513, 10058, 2797, 3961, 538, 13524, 10601, 5824, 3013, 543, 5170, 547, 20441, 938, 1702, 540, 519, 10504, 269, 7316, 13524, 10601, 19384, 1686, 568, 2938, 547, 11651, 613, 689, 519, 968, 6312, 1181, 892, 540, 519, 5053, 1977, 1065, 28362, 923, 267, 519, 13338, 21257, 568, 3622, 4371, 3743, 585, 519, 3017, 269, 22353, 267, 519, 14082, 12733, 779, 5821, 547, 23650, 883, 922, 5057, 6237, 2694, 568, 6045, 676, 519, 16313, 779, 11307, 30093, 543, 796, 4328, 4527, 282, 543, 8478, 779, 15151, 3152, 2797, 6617, 896, 519, 10504, 568, 3144, 607, 513, 8086, 540, 519, 7915, 6617, 540, 513, 22420, 10324, 269, 272, 8616, 713, 1757, 894, 1045, 6327, 540, 519, 16313, 568, 711, 606, 7850, 7778, 538, 2901, 2013, 543, 949, 1256, 2179, 547, 581, 21794, 519, 2243, 269, 15742, 569, 621, 568, 15458, 602, 519, 17169, 729, 13948, 3743, 585, 838, 2130, 8478, 513, 8954, 633, 543, 26481, 6560, 1996, 519, 3993, 2197, 267, 543, 621, 568, 11338, 2352, 547, 1397, 602, 519, 16313, 729, 3226, 15747, 538, 796, 4328, 543, 10128, 519, 2797, 1062, 602, 7153, 269, 8478, 729, 1641, 547, 4049, 6237, 13253, 267, 2797, 16132, 267, 543, 1256, 909, 5142, 902, 2394, 519, 476, 7277, 271, 338, 282, 543, 267, 693, 2547, 1282, 519, 12081, 540, 31883, 594, 630, 9264, 273, 268, 8146, 272, 1070, 519, 17169, 4667, 547, 723, 1044, 811, 606, 8886, 656, 982, 513, 31390, 4328, 3310, 269, 7439, 1705, 519, 1569, 542, 540, 1010, 5067, 267, 31883, 4083, 267, 538, 476, 7277, 271, 11963, 606, 7525, 1439, 547, 2797, 19727, 563, 1805, 699, 8040, 970, 1905, 565, 730, 689, 938, 1702, 540, 519, 3029, 540, 5824, 1977, 6608, 2736, 1524, 538, 713, 1259, 1317, 649, 917, 1360, 2370, 540, 741, 6219, 269, 1548, 941, 519, 4052, 6127, 540, 13524, 10601, 2797, 1949, 286, 1215, 3811, 941, 891, 6127, 538, 10128, 2797, 1106, 543, 1514, 4641, 693, 519, 2199, 1377, 1141, 519, 8783, 10324, 729, 267, 693, 1655, 267, 513, 6552, 4137, 286, 634, 3063, 27984, 24810, 610, 10859, 27322, 531, 3889, 540, 6608, 616, 1419, 21372, 267, 855, 606, 1620, 540, 873, 568, 4909, 547, 606, 1620, 540, 519, 7239, 543, 4013, 1135, 885, 789, 4196, 269, 769, 519, 1808, 2013, 540, 8478, 267, 585, 3236, 267, 621, 1631, 5526, 602, 519, 1797, 540, 2797, 5610, 543, 32278, 616, 547, 581, 1336, 1447, 538, 519, 18678, 1268, 540, 519, 16313, 982, 538, 519, 5294, 24191, 32725, 540, 11440, 10350, 543, 519, 2199, 32687, 7207, 540, 11440, 5238, 269, 273, 454, 1607, 1353, 786, 4983, 519, 3252, 543, 10986, 540, 835, 971, 9872, 9789, 3318, 4012, 626, 6483, 269, 1635, 22392, 741, 2797, 543, 1514, 10305, 267, 8478, 779, 4876, 16488, 941, 15747, 538, 11028, 4290, 532, 519, 3844, 6392, 540, 519, 16313, 543, 1010, 26110, 609, 519, 2199, 1379, 540, 519, 16559, 267, 26945, 31794, 945, 941, 519, 10504, 779, 2797, 5127, 13702, 269, 1306, 17531, 13062, 1846, 4171, 7060, 941, 9247, 12045, 267, 519, 16488, 941, 2111, 547, 2226, 513, 2539, 9043, 982, 2901, 519, 17169, 610, 519, 6917, 20148, 525, 269, 16024, 2103, 723, 15763, 873, 3592, 7357, 269, 8616, 741, 2797, 30549, 720, 729, 865, 2629, 543, 741, 9746, 3310, 865, 24245, 602, 1022, 3978, 4901, 540, 11440, 6214, 543, 2486, 1590, 1491, 873, 883, 2272, 563, 300, 698, 3563, 658, 3310, 729, 1100, 3209, 1399, 538, 4830, 8478, 267, 585, 519, 14082, 3318, 4140, 26547, 1185, 5129, 606, 1271, 1909, 2429, 519, 7810, 1974, 269, 26573, 5576, 23702, 345, 779, 1353, 540, 519, 4400, 7040, 540, 15840, 807, 814, 3638, 569, 13006, 519, 3310, 540, 519, 5207, 1377, 540, 13862, 4012, 626, 6233, 267, 11021, 513, 4806, 602, 4667, 547, 3180, 585, 14758, 16488, 607, 1134, 269, 634, 7810, 964, 10603, 1173, 611, 2803, 267, 693, 519, 1482, 942, 602, 789, 5645, 856, 741, 6101, 11889, 11645, 267, 2968, 679, 6996, 1117, 538, 519, 25029, 540, 19384, 2486, 998, 2123, 13218, 602, 10917, 1229, 741, 4013, 3664, 543, 1500, 519, 5480, 513, 2186, 540, 17280, 1063, 13862, 543, 12733, 269, 274, 2311, 513, 2539, 1377, 513, 2147, 1909, 729, 5129, 676, 519, 16488, 540, 8478, 779, 17071, 10470, 267, 519, 522, 12320, 573, 2803, 543, 5104, 3278, 632, 585, 320, 540, 519, 7810, 1974, 282, 593, 519, 835, 1688, 789, 941, 519, 29039, 13222, 540, 10424, 16285, 538, 519, 5318, 12733, 267, 1247, 593, 519, 824, 789, 15527, 4827, 4601, 547, 2199, 2115, 269, 275, 454, 1103, 4830, 8478, 519, 2757, 2078, 1063, 4622, 543, 4012, 626, 3433, 729, 538, 851, 3743, 585, 519, 11173, 3310, 540, 519, 4012, 626, 6483, 269, 1809, 519, 1360, 3239, 540, 519, 14082, 4140, 26547, 607, 1688, 2173, 4660, 523, 547, 519, 22477, 15286, 602, 1909, 689, 2469, 17946, 718, 1263, 539, 1310, 476, 9264, 273, 269, 7111, 5114, 1996, 519, 7810, 1062, 729, 23366, 642, 5034, 538, 2178, 11685, 547, 519, 16488, 945, 1185, 13455, 621, 269, 19384, 13915, 16091, 519, 1714, 22451, 540, 519, 14082, 4012, 626, 6483, 267, 519, 9746, 6891, 543, 2879, 984, 321, 1143, 540, 10424, 16488, 267, 543, 519, 16916, 7793, 1664, 540, 519, 1455, 2069, 693, 3213, 574, 3630, 12462, 1492, 3504, 12051, 26158, 276, 29576, 540, 16324, 13313, 729, 606, 1799, 655, 3645, 2245, 538, 519, 14082, 1158, 267, 543, 9583, 3025, 538, 8478, 1185, 513, 5172, 9661, 540, 16324, 9006, 1275, 547, 9305, 269, 2290, 11356, 4857, 536, 11171, 23824, 676, 16488, 607, 519, 968, 4186, 698, 542, 602, 814, 1044, 519, 6574, 1085, 28123, 540, 8478, 779, 16899, 2223, 277, 543, 1256, 4914, 24319, 8815, 602, 8478, 779, 3656, 1062, 1964, 539, 538, 3946, 1419, 18084, 609, 8988, 269, 278, 454, 763, 3196, 540, 713, 5114, 729, 971, 602, 4566, 543, 9086, 585, 3540, 15024, 1310, 14412, 10704, 7361, 1472, 6963, 540, 519, 16324, 1062, 269, 769, 1249, 267, 519, 6469, 19367, 540, 19384, 12666, 1143, 941, 9859, 5097, 693, 1863, 532, 519, 4182, 779, 3656, 1062, 689, 519, 26692, 540, 519, 15110, 14082, 4012, 626, 6483, 269, 27565, 17634, 609, 3209, 2035, 540, 2442, 16285, 267, 2199, 1143, 267, 543, 9111, 941, 5645, 856, 5631, 538, 519, 1858, 540, 16324, 6963, 563, 763, 1296, 540, 12666, 2797, 17282, 630, 9264, 278, 268, 8146, 278, 264, 4061, 14754, 513, 5176, 2347, 936, 3873, 592, 540, 519, 7810, 16324, 1062, 269, 2920, 532, 593, 20748, 22402, 543, 838, 13899, 676, 519, 4250, 540, 17105, 2612, 565, 583, 1143, 267, 8478, 779, 12666, 6963, 619, 8179, 547, 15139, 1125, 267, 24339, 520, 1125, 267, 543, 1629, 2814, 1518, 519, 16324, 7936, 540, 7245, 269, 4256, 2101, 13144, 547, 713, 1439, 941, 1079, 281, 519, 11221, 267, 25110, 7400, 5126, 540, 519, 4708, 630, 9857, 714, 632, 533, 1794, 264, 543, 519, 21139, 1062, 585, 7803, 18659, 269, 279, 5637, 5238, 941, 2966, 547, 26924, 16324, 968, 785, 11163, 892, 676, 10962, 2482, 3310, 883, 519, 3656, 1184, 267, 543, 789, 941, 3976, 513, 7229, 3463, 543, 29405, 547, 519, 3318, 4012, 626, 6483, 602, 789, 13148, 5486, 5896, 269, 634, 3318, 16488, 1427, 531, 7007, 676, 17527, 543, 26453, 582, 1645, 519, 1007, 5238, 607, 1655, 789, 1223, 269, 280, 1656, 519, 3844, 2229, 267, 538, 2490, 267, 3533, 2968, 771, 650, 4288, 539, 609, 968, 785, 8817, 892, 5126, 1317, 621, 729, 796, 19055, 762, 269, 1015, 634, 2199, 14984, 919, 945, 1223, 1852, 519, 5238, 11338, 3177, 2370, 1489, 585, 519, 11221, 9794, 543, 519, 21139, 1062, 1317, 2442, 31433, 24705, 1042, 2370, 31449, 267, 795, 3753, 941, 7938, 1752, 344, 547, 3310, 267, 543, 1312, 5238, 15469, 26688, 16132, 269, 5047, 267, 519, 6694, 3172, 919, 3533, 7691, 602, 3665, 2199, 13190, 694, 30099, 741, 2757, 13218, 547, 519, 3844, 7245, 269, 769, 519, 7810, 1974, 13862, 4012, 626, 6233, 1185, 3177, 713, 561, 807, 2581, 3028, 267, 855, 1528, 633 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 543, 3057, 935, 328, 18329, 7010, 630, 300, 2464, 1040, 898, 814, 454, 5952, 267, 8517, 5520, 538, 811, 982, 476, 2412, 2477, 543, 538, 476, 1001, 279, 621, 6913, 19614, 540, 1269, 476, 2420, 5479, 543, 1310, 454, 1080, 6455, 6603, 1269, 476, 2190, 5479, 563, 763, 1895, 814, 513, 19597, 730, 2990, 538, 519, 9042, 540, 8878, 3937, 267, 5907, 2472, 543, 14590, 543, 4987, 2533, 585, 519, 2229, 5823, 269, 4706, 1292, 6990, 616, 7330, 267, 5177, 267, 18142, 17936, 543, 5245, 267, 799, 621, 5713, 609, 513, 3309, 14769, 540, 2472, 543, 2533, 269, 3571, 2178, 1445, 593, 5647, 3366, 1864, 547, 1902, 1269, 476, 272, 269, 276, 5479, 538, 1382, 543, 1646, 563, 14197, 18868, 568, 519, 2754, 6131, 547, 519, 23825, 543, 8878, 6080, 267, 799, 729, 8547, 538, 476, 4198, 273, 538, 519, 2136, 2276, 282, 2221, 621, 922, 22071, 616, 4092, 538, 9098, 269, 4706, 1587, 14769, 9832, 689, 1870, 32062, 547, 8396, 6472, 267, 6046, 20140, 1149, 543, 2792, 1949, 585, 3354, 543, 4027, 269, 769, 3586, 7269, 543, 609, 4203, 29792, 1169, 1032, 267, 519, 1895, 6913, 19614, 540, 1269, 476, 3607, 269, 273, 5479, 538, 476, 1001, 279, 676, 922, 3592, 476, 3374, 267, 1822, 5520, 563, 2005, 814, 2947, 1870, 4559, 281, 23825, 267, 8396, 1949, 267, 1344, 2029, 267, 5692, 1949, 543, 7286, 1949, 269, 634, 23825, 1770, 6913, 19614, 540, 1269, 476, 279, 269, 276, 5479, 538, 476, 1001, 279, 269, 901, 10126, 2882, 32591, 28645, 267, 799, 13333, 476, 1789, 19633, 6703, 538, 5607, 267, 519, 12144, 267, 2342, 267, 519, 5664, 5101, 543, 3345, 3013, 543, 3091, 5826, 543, 7816, 2533, 269, 8921, 547, 621, 267, 13323, 6894, 568, 519, 10672, 540, 8484, 338, 267, 4171, 1292, 3631, 616, 519, 717, 18231, 267, 519, 717, 20862, 267, 519, 717, 4335, 267, 519, 717, 7785, 267, 519, 717, 20981, 543, 519, 717, 20981, 2207, 563, 289, 4861, 731, 1512, 729, 8547, 538, 454, 20075, 13069, 267, 4516, 267, 538, 476, 3707, 273, 676, 519, 11653, 9478, 5025, 3944, 663, 25512, 731, 1512, 267, 543, 568, 2221, 454, 821, 540, 519, 3056, 9755, 540, 5010, 543, 4357, 14884, 543, 454, 1515, 680, 6951, 269, 898, 568, 1634, 585, 922, 595, 10022, 1164, 24289, 8484, 1899, 267, 799, 3560, 338, 454, 1575, 547, 476, 5611, 15915, 269, 2060, 3592, 476, 3583, 267, 1822, 5520, 267, 621, 814, 2504, 543, 454, 30261, 4609, 538, 476, 2764, 2477, 269, 769, 476, 1001, 279, 267, 621, 6603, 19614, 540, 1269, 476, 1626, 269, 273, 5479, 563, 763, 5010, 8484, 10126, 814, 4421, 476, 272, 267, 12010, 4559, 538, 476, 3445, 2477, 799, 267, 1169, 3018, 267, 4163, 476, 272, 269, 276, 2929, 15915, 269, 769, 1840, 267, 621, 814, 513, 1870, 8484, 1899, 267, 1141, 922, 1292, 2472, 616, 3231, 27826, 267, 5668, 10152, 543, 6820, 269, 7831, 1032, 267, 519, 2754, 729, 6444, 1369, 519, 6820, 476, 1911, 4107, 12655, 11283, 725, 538, 519, 2622, 12039, 563, 763, 1283, 476, 1015, 645, 27739, 15712, 616, 281, 5794, 24650, 267, 24522, 515, 539, 9410, 267, 2136, 16370, 267, 23817, 28645, 267, 3345, 1886, 717, 5300, 2006, 267, 6380, 3757, 267, 17029, 3149, 20858, 576, 267, 645, 20067, 7010, 267, 4937, 18868, 543, 25512, 731, 1512, 269, 8625, 789, 723, 6659, 936, 476, 24062, 289, 1063, 741, 6059, 476, 12010, 298, 5520, 269, 645, 27739, 814, 476, 14631, 267, 1822, 5520, 543, 568, 19486, 476, 272, 560, 1851, 621, 779, 1283, 476, 1015, 15712, 269, 634, 1283, 476, 1015, 15712, 3328, 476, 3445, 267, 1822, 269, 0, 296, 1689, 1010, 1913, 538, 1082, 2665, 267, 543, 798, 711, 1611, 547, 796, 2903, 593, 1864, 1022, 5539, 585, 1250, 6898, 267, 855, 798, 6999, 547, 11760, 1250, 967, 20623, 1540, 1145, 547, 1864, 543, 693, 519, 1482, 942, 547, 2057, 519, 13766, 585, 519, 31934, 946, 540, 19722, 7436, 563, 2108, 10521, 2223, 7368, 13744, 553, 282, 543, 646, 1500, 1079, 3043, 7436, 609, 1010, 25879, 593, 519, 2427, 540, 519, 8868, 321, 5535, 269, 968, 2467, 17373, 1767, 646, 269, 968, 15812, 9553, 2223, 1767, 6276, 282, 968, 296, 723, 8868, 539, 1079, 13907, 1848, 13744, 553, 6825, 873, 267, 543, 1287, 9788, 519, 25879, 1524, 2390, 513, 6366, 6149, 676, 519, 2427, 540, 519, 2619, 267, 543, 5143, 519, 8695, 602, 789, 1590, 3247, 1310, 1169, 4452, 267, 543, 1118, 513, 1665, 267, 543, 602, 1131, 1832, 519, 22672, 11238, 3169, 563, 29012, 267, 519, 1762, 812, 781, 1413, 3592, 2179, 539, 547, 835, 540, 25713, 267, 585, 646, 1185, 2760, 2938, 519, 20801, 1354, 267, 4352, 670, 843, 320, 267, 547, 7247, 621, 1185, 1896, 2053, 1044, 3254, 543, 6045, 267, 1185, 5143, 1864, 827, 621, 269, 834, 4322, 7436, 6655, 4555, 2437, 1767, 4168, 267, 18413, 1010, 2062, 325, 5424, 593, 519, 3197, 269, 834, 4692, 789, 6655, 6946, 4555, 2437, 4280, 8210, 1782, 267, 834, 7945, 607, 616, 2352, 547, 2769, 24350, 763, 1985, 1554, 646, 3576, 856, 519, 7436, 543, 25418, 689, 519, 2898, 1899, 267, 543, 267, 4758, 803, 513, 1079, 1922, 324, 564, 4341, 547, 556, 24578, 5501, 621, 267, 1500, 803, 2322, 873, 782, 538, 1586, 269, 901, 594, 1185, 547, 10956, 1614, 610, 2185, 2053, 563, 296, 729, 28025, 796, 659, 638, 20557, 609, 519, 6429, 1354, 803, 269, 3143, 7436, 540, 3110, 2787, 610, 2528, 267, 1100, 15244, 540, 519, 3723, 25074, 540, 2367, 267, 941, 20559, 1043, 269, 594, 17077, 569, 6785, 538, 1018, 3148, 540, 519, 8608, 594, 729, 5116, 269, 594, 1185, 2097, 554, 2416, 676, 1797, 865, 538, 1410, 2364, 762, 607, 547, 4734, 621, 8449, 538, 8969, 2436, 594, 729, 9674, 689, 1250, 533, 11189, 705, 1712, 676, 513, 5757, 610, 606, 5836, 563, 293, 22863, 4862, 1864, 267, 543, 1558, 1864, 593, 519, 24383, 267, 5143, 1864, 1010, 1650, 267, 543, 4951, 1864, 519, 2014, 540, 1010, 15372, 269, 5839, 325, 22611, 2033, 8947, 519, 7436, 593, 1200, 1560, 269, 1412, 8133, 267, 646, 1767, 609, 513, 12162, 267, 1412, 527, 5654, 3165, 344, 269, 1412, 11039, 267, 1018, 1058, 594, 798, 286, 4280, 674, 22863, 269, 1412, 2710, 286, 7368, 519, 824, 269, 1412, 2710, 596, 1616, 547, 798, 4376, 286, 2274, 770, 1767, 4166, 652, 544, 2105, 267, 594, 1058, 2161, 269, 1412, 5278, 835, 3116, 1522, 21028, 1200, 267, 1843, 539, 674, 22863, 563, 3891, 1185, 4503, 1010, 1698, 282, 1010, 4552, 8288, 936, 1010, 30432, 538, 3552, 10539, 282, 1010, 4064, 941, 2699, 267, 1973, 3333, 582, 267, 543, 11613, 513, 4148, 877, 609, 519, 1768, 5558, 998, 799, 646, 1185, 5030, 18284, 873, 519, 3109, 7436, 1522, 723, 1044, 14360, 609, 513, 23315, 15513, 269, 3571, 1750, 4060, 941, 561, 1204, 4688, 585, 835, 8781, 5544, 563, 2005, 2360, 519, 6284, 543, 10661, 540, 2123, 15698, 267, 519, 16285, 540, 812, 936, 5128, 267, 585, 2185, 4627, 543, 13977, 26690, 2929, 20339, 267, 835, 21017, 540, 519, 1158, 781, 2698, 2551, 269, 634, 4457, 4838, 7436, 267, 538, 2110, 267, 513, 1390, 267, 23801, 1900, 538, 519, 593, 1189, 15292, 540, 1480, 3356, 563, 2080, 543, 972, 513, 5618, 6376, 729, 813, 2105, 547, 513, 4266, 267, 2356, 1100, 811, 982, 513, 2582, 2262, 281, 834, 29602, 257, 9648, 5310, 3670, 2053, 538, 513, 2698, 540, 1896, 4627, 13366, 282, 543, 2899, 1360, 2038, 538, 519, 1592, 543, 4553, 676, 1896, 7436, 540, 608, 17474, 267, 834, 20135, 5821, 8627, 10590, 2353, 713, 267, 1498, 621, 765, 339, 1540, 1250, 7279, 267, 5143, 803, 2370, 602, 729, 17386, 563, 2419, 3971, 338, 540, 556, 852, 333, 543, 1379, 941, 1166, 13593, 676, 519, 1034, 959, 604, 1782, 6799, 267, 799, 789, 4607, 2901, 607, 7436, 540, 11984, 267, 610, 607, 519, 7405, 540, 17195, 269, 769, 3540, 4744, 5014, 519, 21260, 1249, 542, 14365, 1819, 547, 7794, 922, 1719, 676, 10024, 883, 5728, 4296, 609, 519, 1827, 832, 540, 519, 20281, 16899, 269, 0, 306, 14954, 880, 2278, 267, 4535, 538, 14351, 27048, 543, 6659, 693, 519, 10040, 540, 4165, 10044, 930, 3845, 547, 519, 5087, 540, 519, 2749, 269, 634, 4651, 20705, 547, 513, 1134, 8153, 1920, 540, 1857, 8387, 269, 2991, 2090, 693, 1753, 31471, 336, 341, 626, 4682, 547, 772, 653, 338, 8403, 267, 2968, 513, 1153, 24490, 267, 543, 5249, 519, 1985, 1906, 1296, 607, 513, 20131, 543, 1857, 4013, 538, 14351, 27048, 269, 1261, 729, 2038, 593, 6766, 676, 4173, 337, 333, 327, 583, 1143, 543, 13785, 321, 3073, 269, 769, 476, 9264, 274, 267, 646, 2451, 1010, 4876, 538, 519, 1857, 3028, 267, 1141, 646, 1705, 711, 1745, 693, 1753, 267, 543, 6410, 519, 1032, 1310, 547, 966, 7564, 3944, 1633, 267, 9310, 543, 2968, 513, 16027, 269, 1325, 2819, 538, 476, 9264, 276, 267, 646, 729, 1394, 538, 14351, 27048, 1586, 267, 1141, 646, 6462, 5128, 676, 4758, 4245, 543, 676, 1585, 2308, 906, 269, 769, 519, 1296, 476, 9264, 280, 268, 6078, 267, 646, 729, 519, 2212, 24490, 540, 715, 5984, 27100, 1513, 330, 565, 534, 269, 769, 713, 1974, 267, 646, 5206, 930, 4557, 9499, 538, 4654, 543, 6128, 269, 31471, 336, 341, 626, 729, 3921, 7134, 538, 476, 8146, 278, 269, 3245, 476, 8146, 280, 646, 32524, 538, 589, 1111, 517, 4565, 611, 564, 543, 824, 14786, 269, 9603, 547, 1010, 9097, 2093, 646, 729, 7142, 547, 4734, 1010, 2990, 693, 715, 5984, 27100, 1513, 330, 565, 534, 267, 543, 3079, 646, 2968, 513, 3318, 5856, 538, 519, 476, 7277, 271, 779, 267, 609, 9645, 4760, 2065, 2534, 543, 30190, 960, 607, 513, 29787, 563, 1607, 568, 606, 28484, 4528, 540, 519, 2376, 827, 14161, 13744, 553, 11146, 31471, 336, 341, 626, 563, 8923, 8298, 538, 547, 1205, 519, 2407, 2070, 540, 5981, 9218, 540, 22439, 563, 309, 13453, 927, 320, 1148, 1731, 601, 333, 0, 10907, 27854, 2319, 540, 13675, 328, 5423, 1353, 1570, 585, 1362, 476, 1556, 7868, 1739, 1362, 476, 1556, 4967, 616, 5423, 585, 23048, 1362, 476, 1556, 543, 3730, 585, 808, 7417, 1299, 17252, 4953, 20136, 2985, 5161, 540, 1469, 1362, 476, 1556, 4967, 585, 5396, 899, 8212, 2073, 322, 13511, 2073, 18186, 1108, 2073, 289, 582, 1415, 543, 9119, 269, 2353, 1543, 568, 5423, 676, 6845, 528, 12200, 2818, 540, 13675, 328, 2348, 8717, 540, 1995, 538, 808, 7417, 18006, 1547, 7476, 1134, 3613, 19099, 1362, 476, 1556, 4967, 3584, 543, 1016, 3584, 8797, 609, 3773, 12193, 543, 5667, 9407, 2055, 563, 24687, 1404, 513, 1360, 1271, 1909, 538, 707, 3803, 6060, 540, 1362, 476, 1556, 981, 28560, 596, 6499, 1434, 6060, 538, 1362, 476, 1321, 628, 4604, 4481, 538, 2257, 543, 13004, 1641, 596, 991, 547, 723, 1434, 12497, 9355, 538, 1362, 476, 1556, 7868, 2596, 540, 2257, 543, 13004, 1641, 1376, 689, 1362, 476, 1556, 865, 596, 991, 547, 723, 1434, 1353, 4967, 609, 1434, 2298, 2055, 269, 12218, 476, 1556, 4967, 2874, 540, 1469, 3069, 3184, 8797, 609, 1016, 3584, 616, 4988, 538, 1142, 3184, 269, 2171, 723, 6836, 547, 2491, 782, 1523, 593, 799, 3622, 1053, 616, 6849, 1966, 269, 12218, 476, 1556, 4967, 616, 2966, 971, 513, 1259, 602, 596, 786, 707, 22027, 5612, 543, 666, 1644, 2035, 538, 10230, 563, 9359, 609, 19436, 1257, 1433, 1224, 519, 3069, 2016, 538, 19436, 1257, 1433, 1376, 6061, 519, 2243, 2016, 538, 19436, 1257, 1433, 609, 519, 948, 540, 13675, 328, 19436, 3435, 585, 1362, 476, 1556, 269, 4407, 6061, 2055, 540, 562, 32662, 1118, 2386, 596, 723, 7074, 782, 1271, 4542, 543, 2035, 538, 707, 4063, 1433, 982, 1310, 1376, 689, 13675, 328, 1362, 476, 1556, 4967, 621, 786, 8476, 519, 11271, 1565, 799, 596, 723, 2944, 689, 19436, 543, 1287, 4194, 519, 3635, 2016, 538, 519, 11271, 540, 1362, 476, 1556, 4967, 563, 22209, 8896, 328, 23345, 782, 519, 1353, 1570, 799, 568, 2838, 585, 519, 7041, 540, 808, 7417, 1299, 17252, 4953, 609, 1153, 2090, 585, 1362, 476, 1556, 1153, 649, 723, 3773, 19436, 3435, 585, 1362, 476, 1556, 609, 1906, 824, 4704, 2835, 269, 2690, 808, 7417, 543, 17252, 4953, 649, 723, 3773, 1362, 476, 1556, 4967, 609, 14330, 304, 2055, 543, 12193, 16148, 2055, 22698, 13511, 4542, 786, 948, 596, 547, 11677, 519, 1271, 4542, 1031, 538, 808, 7417, 543, 17252, 4953, 2529, 25630, 547, 7998, 4542, 596, 786, 1205, 3184, 8797, 6323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 313, 331, 289, 9346, 295, 327, 308, 583, 16703, 1910, 19112, 325, 323, 14503, 329, 297, 321, 289, 336, 344, 22003, 1777, 300, 309, 17383, 26394, 307, 297, 330, 294, 6921, 22076, 293, 309, 330, 24174, 2316, 529, 6635, 345, 313, 293, 343, 309, 342, 310, 341, 292, 329, 297, 331, 299, 311, 343, 332, 300, 340, 308, 326, 10908, 299, 323, 298, 330, 312, 344, 307, 326, 294, 339, 335, 22333, 344, 312, 338, 14684, 337, 304, 300, 294, 7714, 306, 18860, 343, 342, 310, 961, 294, 1075, 10455, 288, 320, 31769, 23682, 3201, 528, 304, 330, 298, 290, 328, 28384, 337, 331, 2252, 22661, 326, 294, 339, 4811, 301, 298, 305, 342, 310, 291, 19049, 288, 320, 306, 3918, 1120, 19049, 307, 325, 293, 342, 322, 289, 325, 336, 327, 305, 25897, 310, 336, 333, 301, 298, 6447, 27184, 325, 18933, 332, 12000, 313, 327, 292, 345, 300, 332, 26822, 327, 345, 313, 342, 299, 322, 343, 311, 289, 321, 309, 341, 304, 12317, 293, 325, 298, 295, 10157, 294, 2969, 339, 336, 304, 313, 321, 289, 335, 308, 327, 295, 336, 304, 339, 291, 323, 332, 298, 312, 291, 341, 308, 336, 12685, 339, 307, 310, 296, 321, 289, 329, 706, 7419, 298, 19049, 31813, 330, 292, 298, 9915, 340, 288, 1794, 313, 306, 297, 329, 4944, 22333, 326, 306, 326, 342, 2998, 8104, 32142, 288, 304, 25537, 300, 343, 333, 301, 330, 298, 312, 14623, 5357, 313, 345, 342, 15477, 8578, 333, 301, 323, 333, 325, 336, 304, 300, 298, 14790, 292, 297, 16660, 305, 300, 6781, 525, 5308, 306, 338, 299, 310, 764, 290, 311, 292, 324, 294, 298, 297, 329, 297, 328, 5308, 7288, 307, 339, 294, 326, 309, 13270, 323, 17472, 334, 4512, 5456, 326, 343, 321, 313, 345, 26364, 295, 342, 313, 330, 288, 310, 342, 328, 296, 343, 336, 11073, 307, 341, 613, 325, 30820, 3951, 343, 320, 306, 311, 345, 341, 309, 310, 342, 309, 333, 301, 289, 310, 331, 302, 7251, 4785, 11357, 289, 298, 330, 336, 573, 291, 342, 310, 322, 6717, 322, 25519, 17682, 321, 289, 304, 332, 300, 7224, 304, 336, 333, 295, 327, 326, 294, 301, 335, 17269, 329, 300, 327, 295, 309, 11085, 328, 293, 325, 297, 327, 3725, 534, 301, 4157, 323, 291, 311, 337, 305, 329, 297, 341, 2998, 307, 325, 7246, 311, 343, 2967, 297, 300, 1729, 302, 326, 306, 312, 335, 303, 310, 342, 335, 323, 7894, 289, 310, 760, 325, 311, 335, 292, 344, 330, 298, 312, 18091, 297, 333, 330, 537, 334, 308, 297, 330, 306, 572, 327, 341, 299, 331, 321, 16576, 337, 21918, 292, 313, 330, 6265, 301, 343, 311, 308, 6853, 308, 2763, 288, 297, 329, 296, 573, 344, 312, 310, 342, 336, 297, 600, 20062, 12028, 24746, 4596, 290, 1723, 327, 295, 322, 336, 304, 12435, 313, 345, 294, 1375, 294, 330, 310, 296, 7417, 339, 307, 2465, 14765, 23682, 311, 20084, 330, 292, 324, 294, 313, 325, 335, 304, 336, 8170, 305, 332, 300, 294, 23950, 22473, 340, 297, 329, 321, 289, 308, 332, 27770, 297, 9080, 17764, 295, 331, 299, 326, 294, 345, 313, 334, 297, 303, 25885, 307, 294, 336, 306, 338, 304, 294, 326, 290, 297, 329, 743, 299, 325, 291, 294, 308, 308, 332, 300, 17472, 537, 298, 330, 308, 313, 344, 309, 320, 305, 337, 2304, 301, 325, 297, 300, 332, 329, 14888, 292, 324, 328, 307, 4811, 308, 5263, 325, 296, 328, 309, 10455, 297, 295, 327, 310, 9749, 321, 307, 339, 293, 322, 6347, 341, 300, 332, 296, 328, 309, 320, 289, 308, 340, 291, 27219, 8104, 339, 307, 325, 291, 323, 12396, 6938, 322, 336, 304, 300, 295, 9654, 2320, 6020, 344, 565, 299, 322, 290, 301, 15709, 326, 292, 5979, 302, 8008, 333, 301, 335, 4462, 329, 297, 338, 306, 320, 2304, 341, 340, 308, 308, 7699, 301, 333, 31082, 339, 307, 326, 321, 29797, 303, 312, 334, 302, 311, 343, 327, 23966, 1122, 294, 25629, 306, 297, 302, 313, 299, 322, 290, 313, 345, 331, 297, 6359, 344, 343, 324, 300, 331, 28356, 5864, 341, 311, 25632, 5183, 777, 311, 338, 306, 343, 308, 340, 334, 302, 13697, 325, 312, 21254, 323, 5500, 340, 295, 343, 313, 5414, 312, 331, 299, 309, 297, 329, 339, 307, 1186, 290, 322, 306, 309, 320, 4263, 323, 342, 23354, 320, 8582, 299, 345, 313, 305, 2252, 293, 332, 329, 4916, 332, 309, 341, 5960, 294, 7002, 3412, 288, 324, 310, 332, 9288, 32209, 31014, 310, 342, 293, 325, 342, 321, 295, 323, 333, 297, 329, 313, 26698, 304, 288, 343, 311, 310, 342, 306, 311, 325, 293, 343, 302, 11561, 300, 310, 9749, 298, 330, 4777, 300, 321, 309, 324, 328, 296, 28999, 304, 310, 342, 330, 305, 571, 294, 665, 1910, 324, 2894, 301, 304, 323, 292, 324, 15045, 4135, 21683, 304, 336, 308, 340, 10861, 10975, 300, 343, 335, 4777, 25721, 302, 334, 313, 345, 25508, 302, 345, 313, 308, 1872, 311, 343, 345, 313, 294, 320, 300, 309, 334, 10498, 321, 3528, 928, 295, 332, 345, 310, 302, 690, 294, 301, 12487, 342, 311, 343, 310, 337, 305, 339, 343, 340, 308, 327, 303, 335, 321, 335, 336, 304, 303, 325, 312, 328, 302, 528, 288, 611, 11403, 2801, 321, 341, 345, 9926, 313, 12682, 298, 330, 329, 298, 301, 311, 322, 295, 327, 31323, 293, 343, 300, 333, 313, 334, 300, 332, 8500, 312, 311, 340, 288, 611, 764, 24688, 3198, 292, 344, 312, 523, 295, 304, 336, 293, 336, 304, 329, 297, 343, 311, 325, 290, 11899, 294, 22835, 1731, 298, 320, 2304, 301, 332, 302, 313, 345, 297, 323, 5141, 4753, 330, 298, 329, 300, 298, 341, 6390, 336, 321, 313, 308, 304, 29949, 21990, 8170, 321, 308, 340, 308, 336, 339, 307, 6020, 12685, 337, 302, 336, 326, 330, 308, 583, 307, 298, 329, 297, 330, 298, 304, 336, 336, 306, 19561, 299, 332, 296, 20071, 4263, 312, 344, 299, 331, 297, 331, 343, 311, 295, 340, 298, 331, 299, 27778, 297, 329, 12195, 331, 288, 343, 323, 754, 291, 323, 291, 20911, 325, 293, 1815, 345, 313, 13585, 310, 345, 313, 342, 12011, 329, 15771, 327, 335, 312, 344, 312, 12682, 307, 310, 342, 306, 344, 312, 301, 3534, 17751, 5984, 288, 9654, 12685, 10907, 1962, 321, 311, 291, 323, 294, 326, 329, 308, 340, 296, 545, 303, 335, 290, 329, 297, 310, 342, 8170, 302, 328, 6579, 300, 312, 4263, 293, 332, 6573, 696, 23802, 299, 296, 341, 342, 310, 14976, 333, 299, 331, 777, 4565, 299, 340, 310, 342, 308, 294, 11293, 2125, 306, 325, 553, 342, 307, 339, 298, 305, 337, 294, 326, 332, 17304, 288, 343, 311, 310, 342, 6573, 335, 345, 342, 299, 331, 293, 325, 289, 321, 345, 313, 329, 343, 335, 322, 2419, 328, 296, 28999, 5425, 3333, 335, 322, 7563, 611, 289, 321, 311, 295, 327, 312, 307, 1399, 4141, 291, 5522, 322, 295, 327, 290, 336, 4629, 303, 345, 313, 323, 341, 289, 321, 311, 341, 22849, 11902, 344, 312, 322, 313, 343, 326, 310, 342, 307, 321, 313, 345, 323, 291, 327, 10870, 4002, 325, 293, 312, 335, 312, 344, 321, 7922, 341, 5588, 304, 336, 304, 336, 326, 308, 341, 294, 326, 321, 289, 329, 297, 292, 324, 300, 1805, 332, 1815, 290, 577, 295, 25885, 307, 322, 10481, 14976, 299, 326, 294, 325, 292, 2131, 321, 299, 340, 308, 331, 309, 326, 22835, 643, 291, 29210, 294, 752, 298, 326, 311, 343, 342, 291, 19049, 322, 23871, 305, 334, 298, 651, 341, 294, 320, 4456, 320, 4916, 305, 3464, 302, 1993, 345, 310, 345, 307, 339, 32074, 290, 31983, 31270, 30501, 308, 343, 291, 345, 326, 294, 11575, 12195, 331, 335, 11965, 340, 10013, 331, 306, 298, 802, 293, 327, 295, 301, 333, 329, 297, 323, 326, 294, 11403, 328, 288, 328, 303, 339, 291, 31389, 308, 313, 4206, 291, 323, 301, 333, 325, 11901, 297, 329, 327, 295, 31198, 760, 312, 329, 3725, 292, 344, 312, 338, 306, 337, 321, 289, 297, 338, 306, 14623, 8582, 342, 12320, 342, 310, 323, 330, 301, 333, 329, 291, 341, 306, 338, 313, 297, 329, 311, 343, 2252, 311, 345, 313, 3201, 336, 302, 334, 298, 10135, 337, 307, 339, 294, 326, 306, 12921, 298, 336, 299, 331, 304, 322, 290, 339, 307, 990, 309, 341, 309, 337, 289, 330, 298, 295, 31769, 342, 310, 27476, 298, 340, 18510, 321, 300, 332, 308, 343, 311, 22003, 311, 343, 289, 321, 345, 304, 303, 297, 329, 338, 306, 2026, 306, 326, 294, 320, 304, 11561, 339, 302, 296, 297, 342, 295, 321, 289, 339, 1320, 329, 294, 326, 310, 342, 328, 288, 534, 307, 341, 313, 345, 333, 309, 289, 321, 1910, 31800, 2464, 297, 300, 345, 309, 341, 313, 11070, 343, 337, 331, 342, 310, 299, 289, 304, 336, 321, 310, 17703, 310, 12435, 331, 305, 15709, 304, 336, 293, 325, 295, 3873, 6635, 330, 298, 613, 5319, 7034, 305, 332, 311, 295, 327, 304, 336, 343, 300, 328, 310, 342, 336, 307, 297, 329, 288, 311, 302, 326, 2750, 311, 320, 294, 326, 325, 11902, 295, 327, 312, 7069, 297, 324, 302, 296, 308, 323, 742, 301, 4916, 4944, 302, 32634, 301, 328, 10712, 300, 297, 320, 288, 304, 323, 5719, 9680, 298, 330, 290, 322, 5591, 302, 330, 298, 298, 330, 313, 345, 299, 3149, 331, 311, 343, 298, 330, 345, 26387, 306, 341, 332, 12613, 2862, 345, 307, 1777, 307, 326, 292, 297, 342, 292, 330, 299, 339, 335, 303, 321, 309, 341, 293, 325, 333, 308, 344, 312, 592, 310, 300, 293, 325, 334, 299, 331, 16936, 24774, 343, 13510, 330, 292, 539, 20597, 298, 338, 337, 11965, 326, 296, 1410, 311, 28384, 787, 298, 330, 312, 307, 329, 304, 343, 311, 342, 310, 4629, 334, 527, 18958, 329, 304, 345, 313, 336, 297, 343, 288, 320, 3201, 289, 293, 333, 301, 325, 306, 338, 2839, 323, 7441, 337, 26244, 304, 336, 548, 23852, 308, 12320, 342, 310, 309, 325, 10202, 301, 333, 296, 10387, 300, 308, 297, 332, 311, 338, 1805, 345, 16810, 339, 307, 301, 328, 296, 328, 296, 343, 326, 310, 342, 296, 312, 28999, 304, 301, 333, 5746, 320, 298, 333, 331, 305, 322, 290, 7582, 517, 343, 311, 338, 17239, 327, 332, 300, 341, 27409, 28213, 985, 343, 311, 306, 2793, 329, 337, 305, 331, 288, 334, 311, 293, 325, 307, 328, 8379, 320, 291, 340, 308, 323, 297, 323, 299, 331, 291, 321, 6826, 548, 5085, 309, 12858, 296, 2710, 301, 337, 329, 297, 20670, 307, 289, 321, 345, 313, 320, 310, 337, 305, 933, 340, 297, 294, 327, 341, 309, 345, 325, 295, 289, 321, 342, 310, 320, 17682, 537, 25219, 291, 4462, 301, 343, 331, 17162, 304, 336, 298, 336, 334, 302, 304, 297, 10202, 311, 324, 580, 310, 320, 294, 309, 340, 308, 12858, 296, 327, 308, 313, 325, 293, 345, 310, 307, 339, 310, 296, 12011, 6359, 325, 293, 297, 300, 326, 304, 336, 343, 332, 4696, 309, 11921, 343, 311, 303, 335, 311, 343, 333, 341, 309, 13585, 311, 2465, 291, 327, 294, 326, 322, 290, 301, 333, 312, 344, 289, 2421, 2741, 307, 311, 343, 299, 29368, 25900, 290, 313, 302, 334, 308, 340, 306, 338, 312, 292, 324, 295, 327, 4456, 304, 336, 294, 312, 6614, 312, 344, 325, 297, 4811, 515, 328, 296, 545, 292, 297, 329, 302, 296, 529, 306, 312, 14623, 1122, 335, 300, 332, 660, 324, 299, 331, 345, 311, 298, 330, 576, 11246, 7699, 288, 308, 324, 292, 334, 302, 342, 290, 312, 331, 299, 295, 4753, 308, 336, 304, 302, 322, 290, 312, 343, 337, 305, 333, 305, 336, 301, 333, 305, 337, 325, 2207, 1805, 25629, 305, 334, 8008, 1440, 326, 294, 328, 289, 293, 297, 329, 337, 291, 325, 802, 336, 324, 292, 304, 3333, 323, 291, 2096, 334, 302, 326, 295, 327, 31769, 333, 289, 8578, 304, 12685, 25885, 292, 5522, 308, 340, 297, 344, 289, 25975, 308, 23682, 311, 307, 3279, 303, 304, 7495, 4777, 2135, 311, 328, 305, 337, 306, 338, 303, 325, 323, 291, 20142, 300, 325, 313, 298, 322, 288, 629, 327, 1873, 292, 324, 312, 11917, 31807, 18199, 339, 343, 327, 329, 305, 298, 332, 300, 330, 9071, 295, 340, 329, 297, 294, 325, 9928 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 267, 2004, 24843, 16963, 296, 598, 328, 13005, 1726, 31830, 328, 1942, 8457, 476, 273, 267, 876, 24843, 16963, 296, 331, 15074, 1092, 1470, 4549, 320, 476, 1789, 4846, 1019, 15074, 622, 552, 513, 5386, 575, 1640, 333, 1092, 3138, 1710, 529, 576, 4691, 1729, 267, 1368, 611, 1725, 18372, 476, 27038, 267, 2004, 24843, 692, 291, 320, 476, 273, 4846, 1019, 15074, 6737, 1019, 1106, 8457, 476, 1839, 23080, 710, 16963, 303, 1601, 3554, 334, 267, 844, 785, 328, 267, 13284, 822, 732, 13005, 1391, 685, 738, 9874, 1217, 1794, 7748, 24924, 1003, 3266, 9103, 1446, 1019, 23080, 710, 1750, 23313, 1106, 8457, 598, 476, 1789, 4846, 1019, 15074, 6737, 267, 791, 739, 18372, 19448, 605, 1602, 345, 7748, 1384, 273, 737, 575, 2433, 476, 1839, 23080, 710, 476, 1789, 737, 575, 2433, 1535, 335, 718, 710, 1535, 476, 1839, 476, 1789, 692, 23841, 692, 273, 692, 288, 6277, 3554, 334, 538, 4691, 1729, 476, 23841, 23080, 710, 780, 8110, 1567, 565, 3164, 24924, 1966, 320, 798, 6277, 3554, 334, 791, 739, 732, 796, 521, 626, 9047, 1019, 1226, 1794, 542, 328, 513, 1813, 1651, 1758, 924, 267, 2015, 18372, 829, 796, 685, 3225, 1794, 7748, 24924, 1003, 3266, 1642, 548, 23080, 710, 267, 829, 561, 685, 5306, 571, 24924, 1368, 611, 1725, 334, 9103, 1446, 780, 2419, 3554, 3554, 334, 598, 1535, 24924, 1003, 3266, 632, 328, 15074, 10620, 598, 1813, 31830, 328, 630, 16746, 23080, 710, 264, 552, 598, 586, 24924, 1003, 3266, 632, 328, 15074, 10620, 513, 1726, 454, 326, 755, 328, 630, 30036, 23080, 710, 1916, 273, 454, 343, 31609, 476, 274, 586, 23880, 476, 23841, 4586, 306, 777, 754, 334, 1750, 24924, 1003, 3266, 9103, 1446, 1019, 23080, 710, 3331, 357, 476, 23841, 267, 1285, 8145, 334, 1750, 912, 272, 267, 476, 2004, 25104, 368, 1535, 31609, 476, 273, 267, 476, 876, 25104, 368, 586, 23880, 476, 27038, 267, 476, 276, 4586, 291, 6737, 1750, 796, 15074, 6737, 13005, 1813, 23080, 710, 1942, 320, 476, 272, 267, 2004, 24843, 552, 796, 334, 13005, 1726, 683, 1942, 320, 476, 273, 267, 876, 24843, 267, 1502, 3554, 334, 9379, 633, 516, 454, 288, 6277, 3554, 334, 844, 785, 328, 24924, 521, 626, 9047, 267, 1750, 1567, 565, 3164, 15879, 598, 24924, 1558, 29081, 546, 7578, 521, 739, 527, 15120, 7748, 563, 15744, 361, 24033, 510, 454, 343, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 361, 24033, 510, 476, 273, 1535, 31609, 476, 274, 586, 23880, 476, 23841, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 363, 24033, 510, 17986, 511, 24033, 510, 454, 273, 454, 15744, 362, 24033, 510, 17986, 511, 24033, 510, 476, 272, 267, 476, 2004, 1535, 31609, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 273, 454, 15744, 363, 24033, 510, 17986, 511, 24033, 510, 454, 272, 267, 476, 2004, 25104, 368, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 362, 24033, 510, 17986, 363, 24033, 510, 476, 272, 267, 476, 2004, 1535, 31609, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 24033, 360, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 15744, 363, 24033, 510, 17986, 362, 24033, 510, 454, 273, 454, 15744, 361, 24033, 510, 454, 343, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 343, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 273, 454, 15744, 511, 24033, 510, 17986, 363, 24033, 510, 454, 15744, 361, 24033, 510, 17986, 363, 24033, 510, 17986, 511, 24033, 510, 454, 15744, 511, 24033, 510, 17986, 363, 24033, 510, 454, 273, 454, 273, 454, 6321, 273, 267, 476, 276, 12865, 511, 476, 275, 267, 476, 276, 586, 454, 15744, 362, 24033, 510, 17986, 363, 24033, 510, 476, 6321, 273, 267, 476, 276, 12865, 511, 476, 275, 267, 476, 276, 586, 31609, 476, 275, 586, 23880, 476, 276, 1428, 454, 15744, 362, 24033, 510, 17986, 363, 24033, 510, 12865, 511, 271, 267, 476, 276, 586, 23880, 12865, 511, 5325, 267, 476, 276, 454, 24033, 360, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 15744, 363, 24033, 510, 17986, 362, 24033, 510, 454, 273, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 25104, 368, 476, 4817, 454, 15744, 363, 24033, 510, 454, 273, 454, 273, 454, 15744, 511, 24033, 510, 586, 23880, 12865, 511, 476, 5325, 267, 476, 276, 454, 15744, 361, 24033, 510, 17986, 511, 24033, 510, 1535, 23880, 476, 3393, 454, 15744, 362, 24033, 510, 586, 23880, 476, 4817, 454, 15744, 363, 24033, 510, 454, 24033, 377, 476, 4817, 454, 15744, 511, 24033, 510, 17986, 363, 24033, 510, 17986, 363, 24033, 510, 17986, 362, 24033, 510, 454, 344, 23880, 476, 4817, 454, 15744, 362, 24033, 510, 454, 271, 267, 476, 276, 454, 296, 331, 15074, 1092, 1470, 688, 844, 785, 328, 15764, 19513, 476, 3393, 598, 328, 13005, 1813, 23080, 710, 552, 476, 4817, 598, 328, 13005, 1726, 23080, 710, 780, 277, 269, 13961, 3897, 739, 686, 1750, 682, 15497, 328, 1019, 796, 25671, 1470, 3900, 517, 334, 24924, 25671, 1470, 538, 844, 3430, 549, 2468, 836, 10008, 1813, 632, 328, 4018, 328, 5067, 334, 1226, 5006, 525, 328, 780, 306, 14179, 326, 2939, 334, 454, 288, 454, 291, 454, 302, 454, 289, 454, 295, 454, 298, 692, 290, 692, 291, 984, 321, 3554, 334, 3897, 739, 571, 516, 1750, 1813, 1019, 1391, 328, 844, 3430, 549, 2468, 836, 10008, 692, 15744, 356, 24033, 510, 17986, 357, 24033, 510, 17986, 355, 24033, 510, 589, 15477, 6902, 589, 7495, 6902, 645, 8016, 282, 667, 8016, 17986, 372, 24033, 510, 17986, 370, 24033, 510, 692, 15744, 371, 24033, 510, 5459, 334, 1226, 5006, 525, 328, 10484, 857, 334, 11726, 1750, 554, 2335, 334, 3288, 588, 612, 320, 1609, 3290, 324, 267, 9065, 591, 334, 3288, 588, 612, 320, 1858, 780, 296, 2468, 836, 10008, 692, 288, 7495, 645, 8016, 692, 324, 692, 5459, 334, 7708, 653, 334, 4129, 328, 546, 698, 2993, 5621, 686, 829, 1494, 518, 1965, 572, 516, 1226, 5006, 525, 328, 267, 796, 334, 3331, 357, 7708, 653, 334, 692, 6588, 526, 324, 267, 561, 685, 5306, 549, 7708, 653, 334, 17552, 3712, 334, 282, 840, 526, 3554, 334, 844, 785, 328, 538, 2015, 1794, 7748, 1350, 328, 5621, 686, 1813, 10484, 288, 15477, 667, 8016, 692, 324, 692, 780, 8110, 3897, 739, 571, 516, 3288, 561, 19660, 1226, 5006, 3290, 324, 798, 6277, 3554, 334, 3897, 739, 571, 516, 1750, 554, 2335, 334, 3288, 588, 612, 320, 1858, 267, 524, 1470, 11726, 1750, 24924, 692, 2889, 25346, 1729, 546, 7578, 3490, 829, 561, 685, 531, 974, 3960, 320, 8954, 334, 1813, 546, 749, 685, 684, 334, 521, 807, 579, 326, 783, 324, 513, 844, 10314, 546, 749, 685, 5306, 549, 269, 7313, 747, 2946, 267, 829, 383, 366, 1875, 705, 321, 3554, 334, 3693, 328, 513, 647, 1553, 1329, 5633, 829, 2484, 5979, 267, 798, 6277, 3554, 334, 1285, 1998, 518, 857, 1019, 5621, 686, 2468, 836, 10008, 267, 632, 328, 4018, 328, 1775, 1813, 538, 2243, 324, 535, 2335, 334, 851, 324, 267, 829, 1093, 328, 3351, 11170, 732, 3288, 32388, 14504, 1019, 5973, 27833, 829, 988, 333, 5633, 780, 13706, 3554, 334, 1775, 2468, 836, 10008, 692, 269, 2372, 652, 328, 2468, 836, 10008, 5067, 334, 1226, 5006, 525, 328, 267, 1093, 747, 2946, 554, 2335, 334, 3288, 588, 612, 320, 3490, 692, 24033, 510, 12865, 510, 692, 22933, 482, 19569, 482, 692, 3722, 289, 667, 6195, 692, 324, 692, 6195, 552, 620, 974, 345, 2763, 17602, 11230, 267, 589, 295, 815, 667, 298, 269, 4144, 598, 572, 7666, 27833, 267, 554, 2335, 334, 3288, 588, 612, 320, 1858, 780, 8253, 3554, 334, 1750, 524, 328, 2444, 684, 334, 1019, 1391, 328, 1813, 2468, 836, 10008, 4996, 383, 366, 1965, 572, 516, 1085, 558, 14006, 334, 538, 5621, 686, 1813, 1384, 3722, 289, 692, 11726, 11003, 334, 692, 289, 8016, 692, 288, 15477, 645, 8016, 667, 6195, 692, 6767, 692, 1260, 2317, 630, 692, 266, 692, 16963, 6393, 11726, 11003, 334, 13005, 692, 291, 8016, 645, 8016, 8028, 289, 667, 6195, 692, 266, 692, 269, 966, 2664, 30790, 844, 785, 328, 1750, 19274, 3331, 357, 796, 2468, 836, 23383, 538, 692, 288, 15477, 667, 8016, 692, 780, 8110, 1391, 334, 4665, 334, 267, 1089, 754, 334, 692, 288, 6277, 3554, 334, 844, 785, 328, 3897, 739, 337, 6737, 3288, 512, 525, 328, 1642, 1966, 320, 780, 267, 632, 557, 829, 585, 5633, 1965, 572, 516, 1750, 692, 278, 780, 343, 454, 24033, 357, 1535, 12865, 511, 454, 272, 24033, 358, 454, 343, 12865, 511, 476, 275, 692, 323, 9057, 2088, 682, 7873, 714, 542, 328, 1019, 1965, 626, 27833, 692, 306, 14179, 326, 2939, 334, 10500, 514, 577, 2946, 796, 9097, 324, 1965, 16695, 3331, 357, 2122, 9222, 1750, 24924, 647, 334, 2234, 545, 18372, 521, 807, 4012, 22080, 648, 522, 579, 326, 783, 324, 513, 4642, 269, 595, 9950, 780, 343, 1535, 476, 272, 692, 271, 692, 343, 12865, 511, 476, 275, 454, 305, 18066, 341, 3554, 334, 522, 571, 3288, 1669, 638, 1794, 7748, 912, 301, 25104, 367, 476, 271, 454, 343, 12865, 357, 1535, 12865, 511, 476, 272, 24033, 358, 27949, 367, 476, 271, 454, 343, 454, 27949, 367, 522, 454, 343, 454, 24033, 511, 476, 272, 25104, 367, 476, 271, 17986, 508, 454, 343, 25104, 367, 476, 272, 454, 292, 572, 7666, 3554, 334, 3138, 18638, 1642, 694, 3913, 334, 912, 343, 454, 27949, 352, 476, 271, 17986, 504, 454, 343, 25104, 367, 476, 272, 4586, 288, 6277, 3554, 334, 267, 844, 785, 328, 267, 829, 24924, 6746, 520, 648, 2676, 291, 1535, 12865, 511, 12865, 378, 476, 275, 476, 271, 12865, 378, 476, 271, 17986, 508, 1535, 12865, 378, 476, 275, 454, 3412, 14006, 3554, 334, 522, 571, 3138, 18638, 1642, 694, 3913, 334, 9808, 6746, 520, 648, 552, 12030, 520, 648, 1384, 22437, 747, 2946, 3288, 1669, 638, 1794, 7748, 1019, 851, 27833, 5736, 4012, 22080, 648, 522, 579, 326, 783, 324, 513, 4642, 267, 840, 526, 3554, 334, 1350, 328, 954, 341, 718, 334, 27082, 643, 328, 1384, 271, 1535, 476, 272, 1535, 476, 275, 16317, 279, 780, 1314, 513, 454, 274, 454, 343, 454, 273, 454, 273, 454, 343, 454, 272, 454, 343, 454, 273, 454, 24033, 511, 476, 273, 31609, 476, 272, 454, 343, 454, 1314, 513, 692, 306, 14179, 326, 2939, 334, 3131, 2215, 320, 5430, 320, 267, 15002, 3554, 334, 682, 7873, 714, 542, 328, 1019, 1965, 626, 27833, 269, 667, 984, 321, 3554, 334, 801, 328, 732, 24924, 694, 3913, 334, 1642, 9097, 324, 7750, 4815, 538, 882, 1794, 7748, 513, 844, 10314, 1642, 9097, 324, 13392, 334, 780, 301, 476, 271, 4949, 513, 476, 271, 513, 1535, 476, 1015, 692, 320, 692, 343, 692, 343, 692, 27949, 367, 25104, 367, 24033, 511, 272, 476, 271, 692, 320, 692, 343, 692, 27949, 352, 25104, 352, 24033, 511, 272, 476, 271, 692, 273, 692, 273, 1535, 476, 272, 476, 271, 1535, 476, 272, 476, 271, 25104, 362, 24033, 351, 343, 17986, 492, 15744, 480, 267, 1535, 25104, 373, 24033, 511, 272, 692, 273, 692, 8110, 3288, 2034, 320, 2234, 823, 533, 517, 3554, 334, 24924, 2234, 545, 18372, 4012, 22080, 648, 522, 579, 326, 783, 324, 513, 4642, 1384, 1535, 476, 273, 12865, 511, 476, 273, 1535, 31609, 476, 272, 12865, 357, 1535, 12865, 511, 476, 272, 12865, 358, 476, 273, 476, 271, 25104, 367, 25104, 362, 4949, 513, 12865, 511, 715, 25104, 367, 476, 271, 12865, 357, 343, 12865, 511, 476, 272, 24033, 358, 476, 273, 25104, 367, 476, 271, 12865, 357, 513, 1535, 12865, 511, 476, 272, 12865, 351, 343, 17986, 492, 15744, 480, 12865, 358, 667, 12865, 378, 476, 271, 513, 24033, 357, 1535, 12865, 511, 476, 272, 24033, 358, 24033, 378, 476, 271, 513, 12865, 378, 476, 271, 1535, 12865, 511, 476, 272, 12865, 378, 476, 271, 17986, 508, 1535, 12865, 378, 476, 272, 692, 271, 692, 301, 601, 8732, 334, 538, 524, 14241, 513, 521, 807, 1295, 648, 1019, 4642, 267, 1285, 8145, 334, 1750, 692, 320, 692, 343, 692, 24033, 376, 12865, 376, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27425, 269, 1358, 949, 917, 621, 568, 513, 3109, 267, 3943, 18702, 2197, 267, 799, 8843, 519, 12144, 6532, 540, 3571, 3966, 2723, 320, 609, 519, 29401, 6243, 269, 3245, 1018, 789, 1294, 593, 8613, 789, 8275, 621, 568, 513, 4057, 267, 10795, 4182, 12199, 676, 513, 19588, 540, 28983, 267, 1142, 9583, 8338, 982, 519, 2063, 269, 1358, 949, 849, 12314, 27425, 609, 15978, 267, 6760, 267, 3075, 14228, 338, 267, 10935, 1004, 543, 2825, 12469, 269, 1452, 616, 782, 2953, 12205, 855, 519, 1686, 540, 27425, 12662, 782, 713, 538, 513, 6626, 2796, 269, 898, 3091, 835, 540, 519, 1034, 865, 828, 532, 4245, 827, 5198, 538, 519, 1715, 2622, 269, 898, 568, 513, 1650, 602, 568, 10355, 5143, 267, 855, 519, 1989, 574, 19178, 540, 519, 20951, 1014, 4838, 543, 922, 21987, 616, 1175, 607, 17709, 540, 938, 3007, 2221, 607, 789, 941, 476, 1220, 1296, 3516, 269, 7183, 824, 982, 700, 1054, 1886, 853, 15957, 731, 267, 945, 5206, 1010, 1912, 6185, 269, 5098, 593, 27425, 543, 2663, 3370, 621, 607, 634, 3943, 7169, 538, 5842, 667, 4040, 334, 267, 1572, 519, 3109, 32574, 968, 1492, 1101, 8710, 536, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 4197, 25827, 543, 25833, 24894, 692, 5331, 596, 616, 3843, 547, 1451, 1945, 1007, 267, 899, 4730, 513, 7574, 6293, 269, 2311, 1101, 267, 621, 1522, 581, 2352, 547, 3314, 1141, 547, 1747, 707, 11263, 593, 519, 13176, 8405, 610, 875, 547, 9514, 883, 519, 5587, 6839, 1175, 1318, 269, 1809, 609, 2259, 543, 9639, 267, 936, 942, 267, 621, 3587, 4443, 269, 3767, 4952, 602, 1565, 729, 2760, 2653, 585, 596, 267, 1100, 2339, 875, 2182, 596, 6836, 269, 901, 568, 1018, 1272, 666, 581, 899, 585, 1004, 609, 7214, 543, 11095, 9124, 630, 2839, 291, 6393, 1432, 1281, 9517, 291, 1611, 888, 2411, 13430, 2304, 7214, 9659, 5540, 519, 1259, 513, 1268, 14659, 267, 16137, 267, 31758, 2042, 267, 543, 2306, 3664, 269, 589, 11095, 9659, 4016, 547, 1022, 2783, 602, 6238, 1354, 15296, 543, 3123, 1279, 3856, 7687, 538, 2168, 267, 2790, 267, 610, 3929, 5759, 269, 6884, 891, 2474, 616, 1031, 1927, 1317, 789, 1419, 16937, 910, 2576, 609, 606, 7214, 9659, 949, 849, 723, 2591, 609, 2168, 610, 3929, 2208, 780, 4131, 781, 2736, 713, 1524, 2417, 1210, 4948, 1893, 269, 1403, 2576, 814, 9517, 291, 267, 789, 1522, 991, 811, 948, 982, 1866, 741, 2085, 950, 621, 2501, 547, 1565, 1007, 1983, 267, 1620, 1950, 2035, 267, 610, 5883, 3232, 4247, 269, 1358, 949, 2154, 3606, 7028, 547, 2661, 10446, 267, 2226, 17052, 267, 610, 8011, 27268, 269, 1717, 267, 3025, 568, 2189, 256, 3807, 607, 1100, 1079, 1004, 616, 7567, 267, 1100, 1079, 2043, 609, 9517, 291, 2671, 4010, 519, 1482, 9342, 267, 2115, 267, 610, 2833, 780, 15650, 540, 25827, 543, 25833, 24894, 454, 24801, 21387, 2467, 3884, 1405, 835, 2582, 1826, 540, 9517, 291, 282, 3079, 972, 781, 513, 2647, 2039, 540, 2175, 602, 2887, 896, 713, 22597, 2165, 269, 2368, 1455, 3283, 1331, 13560, 6794, 267, 10295, 8552, 4524, 267, 19341, 4568, 6794, 267, 543, 17866, 2473, 6794, 269, 3962, 540, 891, 2175, 5222, 1114, 2127, 540, 8647, 543, 3340, 1808, 7459, 780, 2690, 1383, 267, 2576, 609, 13560, 6794, 3335, 814, 3982, 11132, 2934, 267, 2539, 4887, 3159, 267, 543, 5042, 17799, 269, 20150, 25400, 13081, 267, 593, 519, 824, 1688, 267, 5097, 5540, 1514, 5872, 543, 2792, 855, 666, 4268, 7494, 1063, 2043, 269, 674, 13926, 15850, 15540, 2164, 689, 27514, 4598, 547, 4568, 543, 2882, 2168, 267, 8965, 267, 543, 1565, 7965, 269, 32746, 850, 2473, 15540, 568, 513, 4719, 4524, 4929, 7214, 9659, 267, 10058, 2168, 7592, 267, 543, 3006, 26144, 5615, 780, 29670, 609, 9517, 291, 454, 1366, 19567, 16908, 609, 9517, 291, 666, 3142, 827, 1978, 2591, 267, 855, 621, 6157, 3085, 1405, 2061, 8788, 267, 1967, 267, 610, 20106, 269, 2060, 3617, 7028, 543, 2533, 267, 1082, 1004, 609, 9517, 291, 1291, 3638, 2729, 2407, 540, 7772, 267, 11505, 267, 2648, 267, 543, 9740, 269, 1358, 7390, 3506, 267, 3180, 6009, 267, 7119, 538, 2146, 2238, 267, 1020, 3347, 267, 543, 3565, 9797, 547, 2486, 780, 9288, 7566, 4658, 609, 9517, 291, 454, 2411, 19567, 2791, 4440, 2907, 917, 2576, 609, 9517, 291, 267, 1256, 952, 596, 1810, 1405, 8275, 621, 256, 9320, 707, 1362, 22940, 11392, 3063, 6351, 1282, 4245, 267, 610, 5310, 707, 7023, 3096, 1129, 1893, 547, 5968, 269, 15775, 547, 917, 1004, 609, 9517, 291, 2337, 1628, 6568, 267, 11942, 13784, 267, 543, 3181, 16218, 11475, 269, 5457, 267, 649, 782, 17330, 2463, 543, 11587, 267, 7488, 540, 938, 3604, 780, 13825, 1456, 17086, 281, 31197, 20492, 454, 28598, 9617, 899, 1022, 1895, 2324, 2509, 1455, 3853, 267, 14223, 3906, 1404, 2629, 5107, 538, 5885, 1346, 4299, 676, 9517, 291, 269, 1452, 2516, 960, 24091, 547, 3895, 4656, 267, 5150, 7616, 267, 3310, 3609, 2242, 267, 543, 2327, 3160, 3255, 585, 2043, 609, 9517, 291, 269, 1635, 11836, 4229, 267, 649, 1711, 6793, 2950, 602, 1871, 1169, 4759, 781, 4502, 543, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 4696, 19699, 7143, 3699, 1007, 2818, 269, 11835, 1456, 568, 2241, 267, 543, 3322, 11264, 606, 2228, 3498, 1106, 267, 26446, 707, 22008, 547, 519, 5728, 30353, 267, 543, 9878, 707, 15376, 13927, 269, 634, 15445, 9730, 786, 2015, 707, 3498, 693, 922, 14232, 5870, 269, 21988, 2818, 786, 4309, 513, 10950, 4757, 543, 3640, 7713, 519, 2640, 540, 15376, 543, 875, 547, 2170, 609, 938, 3896, 543, 2818, 269, 20622, 531, 540, 15376, 568, 1813, 676, 4873, 476, 1789, 1142, 1032, 563, 763, 7681, 814, 476, 274, 6688, 540, 15376, 912, 17359, 16840, 1222, 1107, 1269, 1911, 829, 3045, 636, 454, 2690, 16155, 11727, 2564, 9439, 1369, 5245, 269, 18370, 8826, 2818, 1590, 581, 538, 1434, 7555, 267, 1489, 519, 3483, 543, 3853, 540, 519, 5948, 543, 2628, 741, 5993, 20478, 563, 10112, 1539, 622, 16840, 1222, 1107, 1269, 1911, 829, 3045, 636, 267, 6306, 689, 2875, 15376, 799, 568, 1269, 1789, 829, 3045, 636, 454, 268, 2564, 9439, 3544, 5245, 267, 15376, 13927, 1269, 1911, 454, 268, 824, 1072, 543, 24027, 1072, 4648, 689, 5245, 543, 18368, 267, 15376, 13927, 1269, 1911, 454, 268, 7606, 689, 3544, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4504, 21526, 543, 25833, 24894, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 4658, 609, 24894, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10845, 269, 1215, 1223, 789, 581, 865, 2507, 642, 3188, 995, 286, 2701, 1185, 2141, 6743, 909, 547, 519, 9457, 22419, 7146, 1631, 1352, 4121, 602, 519, 7027, 540, 27587, 1131, 2864, 723, 513, 16143, 24153, 7166, 982, 1577, 1864, 6961, 1010, 26454, 269, 634, 3020, 8247, 540, 713, 16939, 729, 547, 6146, 22255, 16037, 543, 8776, 1470, 7146, 1631, 9253, 20811, 1131, 581, 3773, 547, 519, 1592, 563, 1432, 1705, 621, 2339, 888, 2260, 5970, 596, 3367, 2614, 286, 2260, 454, 27839, 20811, 729, 1376, 1194, 547, 1265, 8776, 1470, 781, 4527, 7404, 7146, 547, 1745, 267, 950, 646, 30409, 1200, 267, 513, 21817, 547, 6474, 1200, 1378, 269, 12262, 1692, 1279, 268, 286, 2260, 454, 2260, 16524, 2614, 547, 1451, 1018, 519, 27587, 1705, 547, 707, 4116, 269, 1677, 1294, 602, 789, 786, 711, 3972, 596, 3917, 537, 267, 945, 2394, 19108, 941, 6867, 3814, 543, 1073, 539, 1304, 269, 594, 10443, 2476, 267, 596, 917, 267, 1317, 5800, 807, 8959, 803, 1510, 513, 1449, 269, 1703, 781, 2370, 4898, 789, 9327, 1405, 3972, 803, 267, 9253, 20811, 1532, 583, 789, 1185, 1100, 2601, 855, 741, 1378, 3824, 3497, 12194, 547, 5134, 6412, 596, 269, 2260, 454, 2260, 3963, 1705, 5800, 807, 3111, 596, 286, 2260, 454, 2260, 296, 729, 22255, 16037, 781, 2875, 543, 3659, 269, 594, 2507, 6785, 1932, 1454, 269, 2701, 1131, 1101, 723, 9310, 803, 1055, 267, 547, 31555, 1250, 7060, 267, 855, 594, 8969, 1352, 1131, 723, 11074, 972, 269, 2701, 1223, 723, 1336, 5906, 10467, 585, 803, 267, 607, 1352, 1705, 585, 7395, 3563, 26778, 269, 2260, 454, 2260, 10303, 596, 917, 1352, 8959, 538, 1200, 10279, 547, 1832, 519, 2229, 5483, 540, 707, 4729, 269, 2260, 454, 2260, 1692, 1705, 596, 917, 602, 286, 2260, 8776, 1470, 4280, 563, 2260, 297, 1783, 1336, 856, 538, 570, 9200, 1756, 269, 1261, 6785, 1932, 1454, 267, 1932, 267, 1317, 1010, 835, 17528, 729, 1202, 520, 4192, 7279, 269, 3571, 2055, 4547, 27421, 593, 1864, 269, 2260, 454, 2260, 306, 22273, 20601, 267, 2260, 1767, 8776, 1470, 269, 12262, 18850, 6412, 269, 22419, 7432, 1996, 22419, 267, 1210, 840, 1084, 572, 268, 2260, 3571, 15280, 1145, 2759, 1055, 269, 12262, 1432, 616, 596, 2469, 547, 798, 1631, 267, 9253, 20811, 286, 2260, 454, 2260, 6546, 5673, 593, 1018, 596, 616, 2469, 547, 798, 269, 1411, 543, 707, 29615, 696, 2828, 269, 1548, 616, 596, 2469, 547, 798, 547, 519, 589, 1203, 710, 7952, 286, 2260, 454, 2260, 31282, 621, 1394, 1354, 621, 10301, 1022, 540, 654, 5285, 8725, 781, 14252, 269, 634, 5349, 7129, 723, 3262, 519, 2262, 998, 519, 2898, 2244, 1631, 2000, 809, 269, 2260, 454, 307, 528, 1470, 9859, 9253, 20811, 781, 3007, 3564, 519, 1102, 1068, 850, 22501, 10750, 593, 799, 519, 7952, 729, 1818, 3786, 547, 519, 1101, 8498, 538, 741, 2619, 269, 2368, 13977, 2367, 543, 8695, 7146, 513, 1906, 2021, 267, 1352, 7074, 2914, 699, 818, 2719, 2933, 609, 32639, 267, 884, 1513, 267, 536, 3298, 267, 543, 1256, 31009, 543, 533, 10105, 269, 634, 1964, 540, 519, 2021, 267, 609, 741, 1453, 267, 941, 24386, 547, 25176, 563, 2260, 5445, 666, 1405, 3180, 1055, 606, 7952, 540, 5215, 256, 2260, 9253, 20811, 1486, 6479, 563, 2260, 5445, 3513, 723, 7899, 540, 948, 1354, 519, 7952, 4991, 713, 2484, 269, 3367, 269, 2260, 454, 3891, 11461, 1200, 2059, 519, 4155, 547, 1141, 513, 7708, 641, 540, 936, 513, 4627, 1004, 22415, 1117, 4724, 519, 8498, 268, 867, 2435, 1004, 267, 513, 2370, 1732, 11439, 982, 519, 1101, 267, 1739, 513, 3043, 7333, 1676, 8876, 513, 3109, 18896, 781, 2212, 3090, 563, 2260, 3719, 1141, 568, 7083, 654, 5285, 8725, 781, 7952, 257, 256, 2260, 9253, 20811, 4280, 563, 2260, 17829, 1004, 616, 519, 7952, 269, 5272, 812, 7146, 1169, 4807, 945, 814, 1880, 5578, 609, 519, 6367, 28104, 513, 4759, 540, 519, 7083, 540, 519, 8092, 781, 7952, 269, 654, 5285, 8725, 781, 4651, 3459, 519, 2259, 267, 950, 646, 6913, 4708, 538, 1010, 3338, 269, 1703, 568, 1100, 991, 547, 1832, 519, 2111, 5256, 2551, 538, 513, 7555, 7952, 267, 607, 19537, 330, 517, 3780, 1705, 269, 1358, 616, 1753, 609, 741, 3885, 1034, 540, 519, 942, 6253, 520, 538, 3294, 814, 6591, 654, 5285, 8725, 741, 20174, 269, 1358, 786, 4339, 1631, 547, 4688, 741, 1378, 5321, 543, 3885, 689, 606, 26490, 528, 269, 1358, 949, 581, 856, 333, 3518, 1229, 693, 1101, 267, 2394, 22255, 16037, 543, 589, 2784, 807, 781, 10136, 1205, 1934, 1532, 583, 799, 2427, 798, 596, 1589, 786, 4339, 9875, 286, 2260, 454, 2260, 4415, 1312, 29615, 14186, 543, 22419, 593, 707, 2427, 267, 1281, 621, 2339, 286, 2260, 454, 2260, 7069, 2427, 286, 9253, 20811, 267, 786, 596, 711, 6443, 721, 286, 2260, 454, 2260, 594, 993, 15673, 539, 267, 2260, 1352, 5143, 1864, 25473, 269, 12262, 296, 723, 1044, 20729, 539, 1532, 583, 711, 676, 519, 22419, 609, 519, 7952, 269, 1215, 1223, 594, 3391, 2576, 547, 6146, 7395, 3563, 1912, 4141, 2041, 610, 9457, 7579, 1014, 286, 2260, 454, 2260, 296, 1174, 269, 22067, 1394, 547, 707, 1560, 16927, 1589, 594, 917, 513, 1259, 547, 2490, 519, 7952, 1394, 1510, 11318, 4896, 269, 2260, 454, 2260, 12663, 7083, 654, 5285, 8725, 268, 286, 2260, 454, 2260, 10908, 611, 569, 269, 1284, 1616, 513, 4708, 14097, 609, 519, 10504, 267, 9253, 20811, 27677, 513, 21037, 269, 2260, 454, 2026, 789, 1427, 8972, 4724, 654, 5285, 8725, 781, 14500, 267, 9253, 20811, 3367, 811, 543, 811, 10136, 15292, 532, 5045, 1189, 267, 1134, 268, 28534, 1631, 267, 543, 8876, 530, 6782, 2903, 338, 540, 695, 3658, 543, 9604, 269, 1703, 941, 811, 18896, 781, 2212, 536, 22395, 267, 543, 2367, 538, 16463, 24915, 21243, 609, 519, 1482, 3090, 563, 2260, 3963, 941, 519, 1655, 268, 28534, 2367, 711, 547, 519, 5045, 267, 2260, 9253, 20811, 4280, 267, 12262, 3602, 596, 1522, 2503, 606, 4323, 689, 519, 10504, 286, 2260, 454, 2260, 2171, 1185, 519, 7952, 7265, 1229, 2282, 1141, 519, 18239, 5921, 547, 2244, 267, 4352, 649, 4769, 1405, 2503, 547, 991, 873, 693, 782, 269, 2260, 454, 2260, 4517, 596, 4769, 1405, 269, 1284, 2760, 6785, 789, 941, 972, 256, 2260, 454, 2260, 6546, 729, 519, 2856, 3562, 6542, 602, 835, 29615, 696, 267, 609, 519, 5351, 540, 513, 24153, 543, 835, 5634, 29615, 696, 267, 1223, 6861, 519, 2898, 18239, 952, 646, 865, 8359, 269, 634, 10504, 781, 1252, 1023, 616, 29134, 7308, 344, 15189, 547, 1451, 538, 835, 3992, 267, 865, 649, 786, 723, 547, 2285, 873, 1776, 269, 2260, 454, 5445, 941, 1394, 547, 654, 5285, 8725, 781, 14500, 1631, 5336, 601, 20811, 3367, 519, 7083, 29615, 696, 9361, 538, 519, 6186, 24316, 538, 8776, 1470, 781, 4055, 267, 1152, 1010, 791, 520, 1466, 5693, 3367, 762, 269, 2701, 1793, 5792, 1394, 883, 1200, 1378, 1560, 267, 2893, 909, 267, 21401, 7146, 5433, 585, 519, 1101, 942, 554, 2086, 1229, 676, 14407, 2168, 1106, 1310, 519, 5191, 540, 1373, 856, 540, 1200, 1560, 269, 2701, 7691, 602, 1352, 1185, 5433, 1100, 4250, 9522, 697, 267, 543, 1100, 1390, 8323, 2390, 13059, 269, 1403, 1200, 7060, 941, 711, 5355, 267, 1200, 6015, 538, 873, 729, 563, 9515, 3367, 8776, 1470, 849, 1694, 909, 543, 12701, 269, 1261, 5143, 654, 5285, 8725, 267, 834, 299, 523, 16037, 543, 589, 2784, 807, 616, 593, 519, 1259, 269, 634, 589, 1203, 710, 7952, 814, 1500, 3786, 607, 596, 12479, 789, 1131, 8862, 5285, 8725, 267, 1705, 596, 20053, 873, 547, 3786, 593, 602, 22501, 10750, 24350, 257, 8253, 8209, 1532, 583, 1141, 3116, 1223, 789, 5127, 1524, 865, 1082, 1004, 267, 1510, 24590, 909, 2507, 1358, 1223, 723, 8237, 909, 267, 540, 1576, 269, 1358, 723, 22419, 4799, 307, 528, 1470, 20493, 269, 834, 2791, 2811, 1565, 547, 1589, 899, 513, 24153, 7146, 594, 6415, 1565, 547, 1589, 899, 606, 29615, 696, 269, 1215, 1454, 811, 1216, 666, 596, 543, 681, 6504, 13248, 1524, 593, 602, 10750, 538, 519, 1985, 1906, 3108, 24350, 20442, 666, 4440, 1832, 621, 986, 1456, 782, 3781, 267, 855, 952, 649, 4323, 873, 972, 267, 938, 1378, 1004, 1131, 723, 547, 4339, 538, 519, 16095, 1701, 27661, 19285, 1810, 1405, 1589, 4764, 786, 798, 621, 2437, 1767, 8776, 1470, 267, 3478, 909, 543, 2469, 936, 547, 519, 3349, 533, 6150, 609, 2835, 543, 20801, 338, 269, 1703, 729, 513, 4786, 267, 2147, 547, 519, 835, 593, 519, 4585, 339, 1077, 563, 27839, 20811, 2451, 1200, 1378, 4055, 543, 4682, 547, 8776, 1470, 781, 269, 12262, 290, 727, 538, 267, 9253, 20811, 267, 2260, 646, 5143, 1200, 269, 654, 5285, 8725, 6743, 909, 607, 1352, 9411, 267, 855, 1767, 4986, 563, 30948, 616, 596, 2469, 547, 798, 267, 8776, 1470, 8119, 1352, 4280, 563, 257, 2791, 3367, 602, 22501, 16095, 519, 7952, 729, 3478, 536, 690, 3022, 1524, 538, 4799, 19285, 917, 519, 1858, 2437, 1767, 654, 5285, 8725, 269, 834, 2005, 781, 1175, 5070, 267, 1100, 1434, 585, 3395, 4376, 4799, 257, 28308, 5070, 2437, 1767, 8776, 1470, 269, 834, 2252, 649, 666, 2893, 23847, 621, 609, 1216, 268, 257, 1261, 1223, 3367, 602, 9253, 20811, 1185, 1100, 2856, 540, 1018, 646, 729, 3478, 693, 267, 543, 654, 5285, 8725, 6035, 1100, 16315, 602, 646, 6956, 269, 834, 5226, 6506, 663, 10590, 646, 6045, 267, 16116, 909, 519, 4786, 269, 1261, 4769, 1405, 1413, 693, 621, 267, 855, 3367, 621, 267, 543, 1767, 538, 20714, 766, 267, 834, 3719, 972, 568, 1100, 2707, 540, 1216, 269, 594, 4769, 1405, 3367, 2484, 2614, 538, 1022, 4287, 1247, 649, 941, 972, 1532, 583, 621, 3085, 1405, 2339, 269, 3143, 12647, 547, 21383, 883, 519, 10750, 609, 513, 2241, 1285, 23750, 3832, 4799, 288, 16938, 13678, 921, 14872, 1285, 23750, 3832, 286, 9253, 20811, 2219, 267, 855, 7283, 14980, 563, 10454, 4262, 568, 519, 14191, 2707, 540, 1216, 2437, 8776, 1470, 729, 6031, 267, 834, 8117, 972, 568, 1100, 1259, 547, 1847, 602, 1454, 1216, 547, 519, 10750, 936, 519, 18060, 532, 15113, 269, 11554, 1996, 2470, 602, 1259, 267, 596, 9364, 581, 12816, 856, 1354, 596, 9364, 6410, 513, 20870, 540, 1018, 568, 2877, 4799, 257, 5226, 6506, 663, 8119, 4280, 519, 7083, 29615, 696, 269, 834, 2791, 917, 875, 547, 2490, 8723, 5070, 883, 844, 6506, 663, 24350, 257, 8170, 1576, 2437, 1767, 8776, 1470, 269, 834, 2005, 814, 547, 581, 2620, 5070, 267, 543, 621, 814, 547, 581, 15459, 609, 1216, 267, 602, 781, 782, 269, 1879, 594, 3367, 519, 1259, 602, 5070, 8604, 547, 29186, 693, 519, 7952, 3843, 547, 15292, 2066, 621, 2507, 1809, 621, 781, 513, 3983, 2856, 19037, 269, 1403, 649, 1223, 16173, 519, 7952, 267, 875, 1131, 649, 2479, 1205, 873, 856, 286, 1284, 1131, 25793, 1662, 1776, 3196, 540, 2470, 602, 649, 7948, 1405, 1852, 4799, 257, 310, 7159, 2437, 1767, 654, 5285, 8725, 269, 834, 2171, 1810, 1405, 1616, 547, 16173, 519, 2898, 7952, 269, 6056, 540, 621, 713, 1259, 281, 20115, 540, 844, 6506, 663, 1934, 543, 972, 269, 7201, 741, 1655, 3937, 2914, 1002, 1705, 789, 3142, 2059, 286, 589, 3032, 777, 738, 286, 1284, 13404, 519, 1216, 896, 621, 7146, 621, 29826, 269, 589, 4402, 532, 15155, 286, 13560, 621, 4422, 256, 1548, 798, 596, 1589, 540, 602, 24350, 257, 299, 867, 654, 5285, 8725, 2437, 9253, 20811, 26866, 1229, 5335, 592, 3585, 267, 834, 4692, 596, 798, 602, 8119, 898, 729, 6654, 1631, 7308, 344, 941, 711, 856, 547, 6146, 4896, 563, 19285, 666, 798, 621, 2437, 1767, 654, 5285, 8725, 267, 834, 5976, 513, 2370, 948, 269, 8776, 1470, 568, 519, 1152, 24153, 594, 723, 7308, 516, 781, 711, 2614, 942, 585, 22255, 16037, 547, 1205, 1934, 269, 634, 589, 1203, 710, 7952, 786, 4734, 602, 10750, 538, 519, 6640, 269, 2060, 3728, 9640, 649, 666, 581, 972, 1354, 21554, 269, 9253, 20811, 268, 732, 596, 2469, 547, 1867, 938, 1544, 547, 519, 589, 1203, 710, 22419, 267, 865, 789, 1376, 3001, 519, 7952, 1631, 24350, 24679, 1131, 798, 803, 1100, 1434, 547, 2119, 2437, 1352, 14452, 269, 834, 307, 528, 1470, 666, 2995, 596, 4799, 257, 5445, 4465, 1405, 3972, 9253, 20811, 1022, 811, 982, 789, 1131, 803, 2437, 8776, 1470, 1767, 269, 834, 9515, 6836, 547, 24633, 873, 267, 543, 789, 9327, 1405, 6432, 269, 2334, 781, 1946 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24178, 590, 3916, 1744, 8014, 269, 4014, 646, 3884, 1405, 28370, 899, 15438, 543, 30842, 267, 646, 6157, 3652, 6634, 540, 11655, 262, 12271, 998, 1010, 6909, 13007, 607, 513, 986, 3899, 267, 2594, 16073, 267, 5152, 23116, 267, 543, 17076, 269, 1924, 1577, 781, 4685, 883, 713, 5863, 1650, 543, 3605, 1946, 930, 1256, 1289, 1864, 834, 763, 3751, 540, 31177, 14929, 15323, 292, 2381, 655, 729, 4535, 593, 5239, 476, 1704, 267, 476, 3192, 273, 267, 538, 12142, 9478, 267, 16713, 269, 1809, 621, 7012, 1405, 2394, 646, 6410, 547, 24354, 267, 12309, 602, 1010, 986, 6137, 4876, 5963, 3459, 269, 3767, 596, 1522, 4898, 267, 1018, 4010, 1281, 513, 986, 3899, 798, 286, 4270, 267, 986, 13827, 616, 15023, 543, 22407, 1107, 789, 2328, 741, 1378, 18405, 543, 1287, 2206, 873, 936, 24754, 20054, 1572, 6293, 1023, 269, 5994, 2870, 707, 1360, 1378, 6648, 543, 7900, 621, 609, 513, 6952, 344, 19820, 4730, 538, 519, 4282, 282, 602, 781, 1018, 1373, 513, 986, 3899, 568, 899, 2439, 2691, 661, 2381, 655, 1101, 3323, 986, 6137, 267, 646, 5185, 3875, 2591, 1317, 1034, 3811, 986, 13827, 941, 3979, 4892, 267, 543, 972, 14201, 1406, 1932, 1082, 3043, 986, 13827, 1818, 621, 2462, 269, 1717, 267, 1175, 899, 875, 2379, 806, 543, 27959, 525, 1590, 7753, 9465, 547, 1831, 1390, 3401, 267, 661, 2381, 655, 5249, 2182, 547, 7118, 2463, 543, 25621, 1369, 519, 15866, 3109, 9135, 269, 3414, 11428, 543, 16177, 267, 646, 9782, 1657, 891, 7496, 543, 2968, 835, 540, 519, 1034, 9565, 5515, 538, 2413, 1402, 2528, 780, 3086, 4952, 15194, 936, 513, 5318, 10806, 4904, 609, 10121, 5396, 945, 740, 648, 1169, 2262, 596, 2161, 269, 2334, 781, 2186, 540, 2147, 547, 1018, 5949, 950, 661, 2381, 655, 4646, 1010, 22850, 1895, 3957, 667, 1321, 269, 1879, 661, 2381, 655, 6591, 21239, 267, 865, 1705, 1010, 2828, 689, 667, 1321, 267, 8744, 873, 1927, 547, 2671, 741, 2648, 585, 2575, 609, 5215, 540, 19700, 1472, 519, 8608, 269, 8625, 267, 789, 2813, 20605, 16125, 602, 7604, 1078, 741, 2189, 15421, 1247, 14304, 741, 6125, 607, 15274, 780, 3719, 7227, 267, 972, 781, 811, 256, 3807, 950, 3025, 2219, 661, 2381, 655, 7948, 1405, 1205, 1022, 16830, 267, 646, 2319, 539, 909, 609, 1776, 16805, 22459, 3957, 20858, 576, 13005, 476, 276, 262, 280, 257, 547, 1106, 513, 1007, 1895, 1572, 14068, 2725, 1115, 5345, 559, 269, 901, 6422, 5918, 334, 9863, 2943, 1586, 602, 2324, 7258, 2576, 3116, 666, 1711, 9059, 538, 519, 7574, 7706, 269, 1358, 5950, 1896, 2442, 8964, 267, 11744, 602, 5698, 1419, 5012, 547, 9735, 2164, 780, 3383, 2484, 267, 661, 2381, 655, 814, 12913, 3833, 513, 2603, 1282, 1010, 12081, 607, 834, 21914, 540, 31177, 14929, 2437, 855, 1934, 616, 930, 8711, 4502, 15663, 1384, 265, 4340, 547, 1585, 2959, 267, 646, 568, 835, 540, 519, 1655, 5498, 29818, 5159, 11451, 543, 6585, 519, 13862, 607, 519, 1283, 5498, 29818, 7376, 540, 519, 476, 1220, 271, 338, 269, 2608, 14210, 540, 1010, 11549, 4548, 6603, 1948, 272, 593, 519, 9291, 4580, 12125, 910, 530, 578, 256, 2608, 1261, 781, 4465, 9118, 17758, 267, 1519, 12896, 332, 903, 267, 24211, 309, 11473, 8535, 22952, 267, 543, 9142, 22952, 269, 2608, 3571, 3310, 11498, 3564, 2575, 267, 11121, 9413, 267, 7641, 2982, 267, 2835, 267, 543, 3381, 3756, 1759, 593, 1010, 1272, 543, 26274, 780, 3528, 1631, 267, 594, 4126, 596, 1174, 1946, 930, 3277, 547, 661, 2381, 655, 607, 834, 763, 3751, 540, 31177, 14929, 1701, 4634, 1498, 646, 3085, 1405, 5957, 513, 16681, 13862, 610, 2661, 538, 513, 6264, 14500, 267, 646, 1869, 21314, 547, 25407, 9458, 5001, 609, 1010, 3532, 1913, 543, 11763, 20054, 269, 1656, 1454, 899, 1483, 3734, 10424, 3885, 267, 661, 2381, 655, 5170, 8429, 1524, 1010, 9371, 998, 29013, 824, 14971, 12372, 543, 23712, 609, 8284, 5159, 780, 1103, 3932, 267, 3314, 602, 4896, 666, 4473, 1657, 14488, 543, 3035, 30493, 952, 789, 2322, 741, 2247, 547, 621, 1107, 2436, 596, 5326, 540, 4742, 513, 12021, 22459, 267, 10196, 267, 4116, 267, 610, 6205, 269, 2142, 6273, 676, 661, 2381, 655, 781, 3460, 267, 543, 2141, 3494, 538, 3054, 1317, 4376, 568, 2009, 609, 8990, 543, 6612, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9799, 593, 476, 1704, 270, 1015, 270, 3192, 273, 538, 853, 269, 9478, 267, 17834, 267, 2136, 2276, 454, 300, 6702, 718, 23745, 631, 1430, 338, 8633, 630, 9799, 5239, 476, 1704, 267, 476, 3192, 273, 1070, 1732, 1634, 676, 1010, 3942, 2012, 661, 2381, 655, 610, 1010, 7369, 24178, 590, 3916, 1744, 8014, 267, 568, 606, 1977, 986, 3899, 267, 2594, 16073, 267, 5152, 23116, 543, 17076, 269, 661, 2381, 655, 781, 8560, 4547, 1010, 1895, 267, 667, 1321, 267, 547, 13416, 6284, 269, 1306, 1134, 607, 1373, 513, 4759, 540, 519, 24354, 22850, 1895, 667, 1321, 267, 661, 2381, 655, 568, 849, 835, 3368, 540, 519, 24354, 12048, 5577, 5918, 334, 14068, 2725, 1115, 5345, 559, 267, 609, 20858, 576, 13005, 476, 276, 262, 280, 2668, 661, 2381, 655, 568, 835, 540, 519, 1655, 5498, 29818, 5159, 538, 519, 1158, 543, 568, 519, 1655, 9513, 7376, 540, 519, 476, 1220, 271, 338, 269, 1261, 814, 1044, 7396, 543, 19486, 607, 835, 540, 519, 6574, 5159, 540, 782, 942, 676, 1082, 17476, 1519, 519, 17029, 1782, 12942, 12139, 799, 814, 19486, 1864, 476, 11025, 526, 593, 922, 1592, 540, 634, 476, 1911, 4279, 652, 20551, 540, 2353, 5384, 269, 634, 1482, 12139, 814, 10294, 1864, 634, 3751, 540, 31177, 14929, 269, 26451, 1010, 960, 609, 667, 1321, 543, 14068, 2725, 1115, 5345, 559, 267, 661, 2381, 655, 814, 6913, 4557, 1297, 14633, 11549, 4548, 593, 519, 9291, 4580, 476, 1220, 269, 1261, 814, 4421, 811, 982, 476, 5655, 2929, 13475, 543, 476, 6078, 2929, 11549, 4548, 538, 519, 2136, 853, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 5819, 19198, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6762, 1299, 25587, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 1015, 281, 634, 5295, 540, 5253, 543, 23046, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 1271, 1426, 568, 547, 707, 1072, 286, 898, 781, 711, 1175, 1945, 602, 25361, 707, 7181, 950, 596, 2811, 17237, 256, 5253, 814, 519, 1379, 547, 12115, 543, 1921, 721, 547, 519, 1158, 1472, 721, 269, 901, 3184, 786, 2263, 519, 4276, 1063, 1426, 267, 2528, 267, 543, 7067, 267, 609, 513, 1445, 593, 6805, 2853, 543, 1426, 16285, 780, 4089, 476, 272, 281, 4197, 5253, 590, 30371, 14879, 692, 2691, 649, 2911, 827, 1426, 16285, 267, 649, 1611, 519, 1318, 540, 9082, 547, 2635, 543, 15520, 3617, 1426, 3812, 998, 3235, 10999, 3280, 543, 4264, 2409, 269, 1280, 1082, 6805, 2950, 267, 713, 1797, 2348, 1852, 936, 741, 2757, 3338, 543, 7297, 267, 5452, 267, 543, 1426, 1949, 780, 7078, 281, 6056, 827, 519, 3017, 1063, 4189, 513, 3728, 32103, 554, 3711, 584, 3455, 8957, 513, 7594, 1500, 609, 5820, 6738, 538, 707, 1378, 18147, 610, 21433, 689, 2199, 6705, 269, 6904, 835, 2306, 596, 1745, 811, 4448, 547, 519, 3618, 543, 707, 2146, 2496, 4089, 476, 273, 281, 634, 17583, 9737, 5253, 543, 9177, 692, 2690, 1082, 4529, 267, 1426, 568, 1454, 811, 982, 1175, 32351, 282, 621, 6645, 513, 1650, 827, 513, 2146, 781, 1686, 267, 5389, 267, 543, 2418, 269, 1635, 8497, 543, 4687, 891, 1426, 1811, 267, 2950, 666, 2226, 4296, 547, 741, 11937, 543, 2327, 602, 741, 6561, 2729, 593, 780, 12244, 281, 9105, 707, 1920, 2818, 827, 741, 5172, 6689, 8286, 610, 10346, 5293, 1524, 689, 3105, 5481, 269, 1215, 1281, 8600, 543, 11981, 891, 6980, 1921, 873, 547, 741, 2250, 2496, 4089, 476, 274, 281, 23046, 3414, 5253, 692, 29378, 2950, 723, 1279, 6444, 519, 7067, 3601, 540, 2757, 3536, 543, 11955, 269, 3509, 2413, 10108, 267, 971, 607, 3987, 543, 2295, 2068, 267, 666, 581, 14360, 1394, 547, 8192, 5079, 269, 4825, 9506, 547, 18577, 11326, 3638, 538, 2898, 3536, 899, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 666, 948, 2061, 543, 1256, 9258, 930, 540, 891, 2175, 780, 7078, 281, 6333, 875, 1978, 4313, 3536, 267, 899, 9269, 17339, 610, 3905, 7401, 267, 666, 1118, 596, 1745, 1732, 950, 596, 2811, 7210, 269, 3767, 4952, 952, 1169, 7594, 1185, 519, 1761, 547, 12115, 707, 1560, 543, 7794, 707, 4276, 547, 519, 3047, 2439, 4089, 476, 275, 281, 20717, 995, 715, 712, 7321, 543, 5617, 784, 532, 692, 28848, 1927, 568, 513, 8471, 1259, 547, 1628, 543, 12927, 1514, 7554, 269, 1879, 649, 7772, 2685, 16138, 880, 6000, 543, 1866, 267, 649, 1711, 3255, 585, 6643, 267, 17409, 267, 543, 1565, 269, 20876, 519, 1871, 540, 782, 5686, 540, 4074, 267, 1519, 1426, 7041, 543, 3028, 267, 2337, 6536, 7071, 543, 2463, 585, 3025, 781, 7418, 780, 12244, 281, 5029, 1125, 513, 1494, 331, 3089, 12129, 609, 2828, 610, 15032, 267, 18136, 1142, 1268, 547, 3142, 513, 8670, 602, 4564, 741, 2686, 4282, 610, 1920, 2245, 269, 9181, 1018, 596, 1451, 827, 1142, 824, 781, 12583, 1247, 11981, 519, 8949, 17008, 2439, 6962, 912, 763, 2081, 649, 1332, 267, 3434, 267, 543, 2671, 1426, 666, 14751, 938, 3347, 547, 1747, 267, 1004, 267, 543, 2104, 5481, 269, 1635, 8508, 1426, 16285, 543, 9301, 519, 2956, 540, 2757, 1426, 1811, 267, 649, 666, 2087, 938, 2168, 543, 3929, 8171, 1247, 26621, 519, 2984, 543, 7326, 540, 1346, 945, 3357, 1354, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2108, 15933, 2242, 883, 1973, 267, 1973, 883, 2281, 267, 2281, 1689, 883, 1648, 799, 2242, 909, 883, 1272, 2507, 25988, 568, 1272, 1848, 1107, 26943, 2435, 17680, 582, 20539, 600, 2801, 12829, 8566, 4592, 1597, 528, 454, 22154, 960, 649, 2461, 3257, 538, 1426, 2528, 568, 6038, 7067, 960, 269, 1656, 1346, 3536, 267, 543, 5452, 267, 543, 519, 2244, 616, 519, 8069, 540, 7067, 281, 1358, 616, 519, 12115, 619, 267, 789, 616, 519, 524, 3120, 837, 553, 267, 789, 616, 519, 4915, 1004, 945, 616, 2810, 938, 4390, 547, 1413, 693, 519, 16236, 782, 1472, 721, 2507, 527, 779, 1152, 519, 5452, 267, 543, 519, 2244, 267, 543, 519, 1426, 267, 602, 723, 519, 4390, 547, 1491, 602, 16236, 267, 543, 547, 8311, 1125, 543, 7558, 621, 1848, 1107, 15011, 1177, 330, 6079, 24010, 267, 5856, 267, 2686, 11832, 18007, 523, 6519, 454, 5331, 513, 2104, 1141, 519, 2081, 649, 1332, 267, 3434, 267, 543, 5531, 1472, 1426, 3413, 8787, 938, 3347, 547, 519, 4025, 649, 2661, 267, 547, 519, 1004, 945, 3357, 1354, 721, 267, 543, 547, 2104, 5481, 269, 5994, 513, 2104, 1141, 649, 5431, 1416, 607, 519, 9759, 540, 782, 4074, 543, 5660, 782, 1004, 779, 4074, 267, 1100, 2339, 519, 1106, 621, 3217, 269, 5994, 602, 649, 7772, 2685, 16138, 880, 1142, 824, 267, 602, 649, 782, 917, 649, 4866, 267, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 7087, 2657, 1299, 23046, 1315, 5253, 590, 30371, 14879, 543, 12594, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 12650, 1005, 3203, 609, 22878, 692, 7072, 912, 5970, 596, 2479, 5129, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 3436, 476, 7742, 271, 6769, 1038, 1820, 19629, 333, 22998, 2580, 1439, 284, 1412, 1412, 3418, 1038, 9206, 318, 11529, 815, 8771, 1477, 825, 952, 630, 6352, 6600, 1400, 8548, 20687, 264, 2999, 476, 7742, 876, 543, 7003, 6600, 1400, 8548, 20687, 264, 3436, 476, 7742, 271, 264, 543, 1003, 318, 20657, 11736, 4939, 476, 1015, 2652, 476, 271, 6769, 1038, 1820, 3488, 269, 3299, 1439, 815, 1412, 1412, 3418, 825, 952, 630, 6352, 6600, 1400, 8548, 20687, 264, 13843, 476, 7742, 271, 264, 543, 1003, 318, 20657, 11736, 4939, 476, 1911, 2652, 476, 271, 6769, 1038, 1820, 3488, 269, 3299, 1439, 815, 1412, 1412, 3418, 825, 2132, 9206, 318, 11529, 1477, 24541, 3698, 1232, 7973, 263, 572, 4038, 267, 2246, 334, 8548, 1712, 8029, 825, 4159, 318, 14310, 815, 8771, 1477, 825, 1003, 318, 20657, 11736, 815, 476, 271, 1477, 825, 9206, 318, 11529, 815, 6936, 1477, 825, 1247, 6936, 6769, 1038, 5728, 815, 2638, 318, 11437, 263, 572, 4038, 267, 11133, 318, 20657, 11736, 3418, 1038, 952, 568, 318, 15759, 518, 263, 572, 4038, 314, 271, 281, 273, 8079, 2652, 6936, 281, 1363, 1477, 2018, 17278, 318, 16149, 815, 703, 263, 572, 4038, 314, 271, 281, 273, 29573, 2018, 17278, 14729, 792, 815, 703, 263, 572, 4038, 314, 273, 281, 277, 29573, 2018, 17278, 318, 24629, 815, 703, 263, 572, 4038, 314, 277, 281, 279, 29573, 2018, 17278, 318, 1485, 815, 703, 263, 572, 4038, 314, 279, 281, 1015, 29573, 2018, 17278, 28804, 1393, 815, 703, 263, 572, 4038, 314, 1015, 281, 1321, 29573, 2018, 17278, 20189, 712, 815, 703, 263, 572, 4038, 314, 1321, 281, 1691, 29573, 2018, 17278, 8548, 2222, 815, 703, 263, 572, 4038, 314, 1691, 281, 736, 316, 10142, 2018, 2312, 8548, 20687, 815, 1496, 15947, 2018, 5728, 19571, 8217, 815, 1496, 15947, 2018, 585, 562, 538, 5728, 314, 736, 281, 316, 6769, 3546, 5728, 19571, 815, 3921, 3799, 3418, 3546, 5728, 19571, 8217, 6910, 263, 572, 4038, 19571, 3418, 2018, 1948, 2745, 263, 572, 4038, 19571, 8217, 3418, 2018, 585, 562, 538, 5728, 19571, 8217, 6769, 3546, 2312, 19571, 815, 562, 1477, 3546, 2312, 19571, 20699, 630, 16780, 7973, 318, 16149, 910, 476, 1789, 3418, 3546, 2312, 19571, 20699, 630, 16780, 7973, 14729, 792, 910, 476, 1708, 271, 3418, 3546, 2312, 19571, 6834, 17278, 28804, 1393, 1477, 3546, 2312, 19571, 20699, 17278, 20189, 712, 1477, 3546, 2312, 19571, 6834, 17278, 318, 1485, 1477, 3546, 2312, 19571, 20699, 17278, 318, 24629, 5897, 3546, 1247, 2312, 19571, 2999, 476, 3953, 6769, 7386, 2312, 19571, 6834, 476, 4817, 1477, 3546, 1247, 2312, 19571, 3436, 476, 14695, 6769, 7386, 2312, 19571, 20699, 476, 4817, 1477, 3546, 2312, 318, 10420, 815, 669, 337, 263, 27234, 19571, 3418, 3546, 2312, 8548, 20687, 6910, 263, 27234, 318, 10420, 3418, 2018, 952, 10081, 8548, 1712, 2652, 8771, 6769, 3546, 1820, 28361, 333, 14826, 3721, 476, 272, 281, 1234, 817, 793, 3197, 20298, 3546, 1820, 3488, 8339, 21860, 263, 27234, 8548, 20687, 17903, 2018, 1948, 1133, 329, 18443, 519, 5048, 1477, 2018, 1948, 2745, 263, 16780, 7973, 28804, 1393, 3418, 2018, 1883, 815, 1496, 15947, 2018, 1883, 6910, 17301, 263, 16780, 7973, 318, 16149, 270, 1428, 264, 1341, 476, 273, 264, 1948, 16780, 11736, 1883, 476, 278, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 318, 1485, 270, 274, 264, 1341, 476, 274, 264, 1948, 16780, 11736, 1883, 476, 277, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 20189, 712, 270, 273, 264, 1341, 476, 276, 264, 1948, 16780, 11736, 1883, 476, 276, 1477, 2018, 1883, 6910, 263, 16780, 7973, 318, 24629, 1341, 476, 275, 264, 1948, 16780, 11736, 1883, 476, 275, 1477, 2018, 1883, 6910, 263, 16780, 7973, 14729, 792, 910, 476, 1220, 279, 264, 1948, 16780, 11736, 1883, 476, 274, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 8548, 2222, 270, 4335, 876, 264, 1341, 476, 274, 264, 1948, 16780, 11736, 1883, 476, 273, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 28804, 1393, 270, 276, 264, 1341, 476, 273, 264, 1948, 16780, 11736, 1883, 476, 272, 1477, 2018, 585, 737, 538, 2039, 12759, 31107, 264, 8029, 3546, 3688, 30648, 14682, 4981, 815, 7003, 263, 27234, 8548, 20687, 8358, 15615, 31107, 25208, 29573, 3546, 3688, 30648, 14682, 4981, 815, 2781, 559, 263, 19477, 30648, 14682, 4981, 3418, 3546, 1948, 2745, 263, 19477, 30648, 14682, 4981, 3418, 3546, 1003, 318, 2254, 318, 995, 815, 630, 4486, 25208, 316, 2608, 3688, 30648, 14682, 4981, 264, 910, 7003, 263, 27234, 8548, 20687, 3418, 3546, 1948, 2745, 16325, 318, 2254, 318, 995, 3418, 3546, 796, 329, 18443, 18380, 815, 15079, 1477, 3546, 1948, 2745, 3488, 763, 1883, 568, 4939, 338, 543, 1871, 568, 4939, 338, 262, 4939, 630, 330, 267, 4486, 25208, 8079, 3418, 3546, 1948, 6282, 525, 8675, 540, 2262, 2516, 1477, 3546, 585, 1775, 538, 2039, 31107, 25208, 316, 8029, 7386, 1948, 2745, 3488, 19617, 318, 2254, 2407, 815, 4939, 323, 543, 1775, 815, 4939, 323, 262, 4939, 630, 11133, 318, 2254, 318, 995, 267, 328, 17903, 7386, 952, 1775, 2999, 1003, 318, 2254, 318, 995, 6769, 13376, 1003, 6958, 1009, 815, 1775, 16732, 19477, 30648, 14682, 4981, 268, 272, 3418, 13376, 585, 795, 538, 2039, 263, 19477, 30648, 14682, 4981, 268, 272, 8029, 23351, 952, 1775, 538, 796, 329, 18443, 18380, 269, 12399, 28399, 4449, 3546, 796, 329, 18443, 18380, 5157, 4940, 6572, 263, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 29573, 23351, 3116, 6769, 4449, 3546, 796, 329, 18443, 18380, 5157, 316, 815, 1496, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 14963, 1477, 23351, 1948, 2745, 3488, 9281, 29486, 8008, 20298, 23351, 1948, 2745, 263, 684, 329, 18443, 18380, 3418, 7386, 3116, 6769, 13376, 1003, 6958, 1009, 815, 1003, 318, 2254, 318, 995, 16732, 19477, 30648, 14682, 4981, 268, 272, 3418, 13376, 1003, 318, 5913, 815, 630, 328, 910, 1003, 318, 2254, 318, 995, 12684, 19477, 30648, 14682, 4981, 1477, 13376, 585, 795, 538, 2039, 263, 19477, 30648, 14682, 4981, 8029, 23351, 952, 1775, 538, 796, 329, 18443, 18380, 269, 12399, 28399, 4449, 3546, 796, 329, 18443, 18380, 5157, 4940, 6572, 263, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 5991, 636, 318, 5913, 29573, 23351, 3116, 6769, 4449, 3546, 796, 329, 18443, 18380, 5157, 316, 815, 1496, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 5991, 636, 318, 5913, 14963, 1477, 23351, 1948, 2745, 3488, 5085, 10345, 29486, 8008, 20298, 23351, 1948, 2745, 263, 684, 329, 18443, 18380, 3418, 3546, 1948, 2745, 263, 684, 329, 18443, 18380, 3418, 3546, 796, 329, 18443, 8548, 20687, 815, 1496, 15947, 3546, 585, 1775, 538, 2039, 31107, 25208, 316, 8029, 7386, 952, 7003, 263, 684, 329, 18443, 18380, 5157, 8079, 2652, 3688, 30648, 14682, 4981, 6769, 13376, 796, 329, 18443, 8548, 20687, 6910, 263, 684, 329, 18443, 18380, 5157, 6012, 271, 29573, 13376, 1642, 796, 329, 18443, 18380, 5157, 6012, 271, 15947, 7386, 1948, 2745, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 585, 795, 538, 2039, 263, 19477, 30648, 14682, 4981, 268, 272, 8029, 7386, 585, 1775, 538, 2039, 31107, 25208, 316, 8029, 13376, 796, 329, 18443, 8548, 20687, 6910, 263, 684, 329, 18443, 18380, 5157, 6012, 329, 29573, 13376, 1948, 2745, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 1948, 2745, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 3803, 8548, 20687, 815, 1412, 8339, 21860, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 952, 10081, 8548, 1712, 2652, 8771, 6769, 7386, 1820, 28361, 333, 14826, 3721, 4939, 323, 281, 1133, 329, 18443, 519, 5048, 262, 4939, 630, 273, 1341, 737, 17903, 7386, 1820, 6600, 1400, 8548, 20687, 3418, 3546, 2312, 8548, 20687, 815, 796, 329, 18443, 8548, 20687, 1477, 2018, 1003, 318, 20657, 11736, 6834, 476, 272, 1477, 2018, 9206, 318, 11529, 815, 4159, 318, 3438, 725, 6600, 1400, 8548, 20687, 267, 2246, 334, 8548, 1712, 267, 11133, 318, 20657, 11736, 267, 4148, 698, 318, 11529, 10142, 2018, 5728, 815, 3803, 8548, 20687, 1477, 17264, 1477, 1038, 3116, 6769, 2018, 1820, 19629, 333, 310, 27073, 5058, 281, 596, 2811, 5048, 3112, 581, 1232, 760, 22363, 14744, 1038, 952, 10081, 8548, 1712, 2652, 6936, 6769, 2018, 952, 568, 318, 1263, 1501, 6600, 1400, 8548, 20687, 264, 2652, 6936, 6769, 3546, 10081, 8548, 1712, 815, 8771, 1477, 1038, 952, 10081, 8548, 1712, 2652, 8771, 6769, 2018, 9206, 318, 11529, 815, 4159, 318, 3438, 725, 6600, 1400, 8548, 20687, 267, 2246, 334, 8548, 1712, 267, 11133, 318, 20657, 11736, 267, 4148, 698, 318, 11529, 3418, 2018, 2736, 5897, 825, 2132, 3803, 8548, 20687, 5897, 3698, 2638, 318, 4486, 18316, 28399, 825, 1948, 6282, 525, 3758, 952, 513, 3758, 540, 602, 2012, 3085, 1405, 4867, 608, 338, 626, 1477, 825, 2119, 6769, 1038, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 337, 266, 14744, 1038, 1820, 2891, 21886, 11736, 9517, 3758, 1336, 6707, 14744, 825, 4849, 11711, 8253, 28062, 13286, 6769, 1038, 535, 815, 1930, 6600, 32327, 2437, 342, 266, 14744, 1038, 1820, 2891, 5591, 3758, 1336, 269, 1715, 3758, 2813, 6707, 14744, 1038, 535, 25379, 14052, 825, 1247, 6936, 6769, 1038, 4159, 318, 4186, 757, 14052, 1038, 6467, 6831, 1712, 815, 4159, 16182, 318, 5443, 340, 14052, 1038, 952, 6467, 6831, 1712, 2652, 1412, 333, 262, 6769, 2018, 1007, 318, 16780, 11736, 16182, 14052, 1038, 8640, 6467, 6831, 1712, 2652, 1412, 323, 262, 6769, 2018, 18419, 318, 16780, 11736, 14052, 1038, 8640, 568, 318, 15759, 518, 263, 1873, 3558, 6831, 1712, 8029, 2018, 1496, 14310, 267, 16780, 11736, 7272, 817, 5320, 316, 815, 946, 318, 16780, 11736, 17301, 263, 1873, 3558, 6831, 1712, 17903, 2018, 952, 1267, 2652, 6936, 6769, 3546, 2132, 14238, 7272, 817, 5320, 1477, 3546, 2736, 1477, 1038, 3116, 6769, 2018, 6318, 3590, 2750, 527, 1477, 1363, 1477, 3698, 4159, 318, 4186, 757, 28399, 825, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 337, 266, 14744, 825, 14238, 7272, 817, 6919, 815, 535, 18667, 6050, 14052, 825, 14238, 7272, 817, 6919, 815, 1496, 343, 14714, 8692, 3890, 585, 1535, 538, 14238, 7272, 817, 6919, 316, 21506, 825, 952, 14238, 7272, 817, 6919, 2652, 15234, 6769, 1038, 1820, 19629, 333, 5591, 14238, 9517, 338, 1336, 14826, 14744, 825, 3116, 6769, 1038, 1820, 19629, 333, 21886, 11736, 10569, 281, 14744, 1038, 1007, 8217, 815, 1592, 263, 9792, 12759, 263, 16780, 11736, 7272, 817, 6919, 30727, 11468, 281, 273, 15947, 1038, 585, 1535, 538, 1007, 8217, 6769, 2018, 1820, 19304, 17301, 3287, 270, 273, 11924, 272, 264, 1341, 834, 264, 834, 1341, 14238, 7272, 817, 6919, 20572, 29573, 825, 535, 25379, 31476, 3698, 1007, 318, 16780, 11736, 16182, 28399, 825, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 320, 14744, 825, 1007, 6831, 1712, 12173, 815, 3403, 19629, 333, 8923, 4283, 519, 3009, 2012, 585, 519, 1007, 9517, 24097, 333, 14744, 825, 1007, 6831, 1712, 12173, 815, 1007, 6831, 1712, 12173, 31573, 14052, 825, 1247, 1007, 6831, 1712, 12173, 2652, 15234, 6769, 1038, 1007, 6831, 1712, 12173, 815, 3403, 2891, 11767, 513, 3009, 2012, 24097, 333, 14744, 825, 535, 22182, 28956, 6831, 1712, 12173, 1341, 27719, 333, 14744, 825, 1007, 16182, 815, 3403, 19629, 333, 8923, 4283, 519, 1007, 14238, 9517, 24097, 333, 14744, 825, 1007, 16182, 815, 1007, 16182, 31573, 14052, 825, 1247, 7003, 28956, 16182, 264, 11203, 476, 1321, 6769, 1038, 1007, 16182, 815, 3403, 2891, 1103, 20777, 3403, 269, 1234, 268, 10938, 14238, 1883, 24097, 333, 14744, 825, 535, 22182, 28956, 16182, 1341, 27719, 333, 14744, 825, 1820, 2891, 21886, 11736, 9517, 3773, 1701, 3418, 825, 535, 25379, 31476, 3698, 18419, 318, 16780, 11736, 28399, 825, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 337, 266, 14744, 825, 14238, 7272, 817, 6919, 815, 535, 18667, 6050, 14052, 825, 14238, 7272, 817, 6919, 815, 1496, 343, 14714, 8692, 3890, 585, 1535, 538, 14238, 7272, 817, 6919, 316, 21506, 825, 1820, 19629, 333, 11767, 519, 14238, 1883, 1297, 602, 596, 6999, 547, 18419, 14744, 825, 4994, 15461, 318, 1372, 8541, 815, 3403, 3488, 20298, 825, 1820, 263, 529, 318, 15759, 518, 263, 8161, 15461, 318, 1372, 8541, 17903, 825, 1247, 630, 529, 318, 15759, 518, 263, 8161, 15461, 318, 1372, 8541, 264, 2652, 8771, 610, 1422, 1477, 19930, 14238, 16229, 318, 1410, 1235 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 630, 20357, 476, 277, 568, 16883, 676, 476, 274, 1916, 15965, 14548, 676, 476, 276, 2433, 952, 519, 1297, 26088, 676, 476, 271, 610, 476, 276, 780, 763, 824, 2188, 616, 676, 7058, 543, 2119, 780, 810, 692, 4366, 275, 2433, 621, 568, 16883, 676, 476, 273, 865, 649, 1205, 476, 26237, 543, 1586, 676, 476, 273, 865, 476, 13199, 799, 13515, 585, 519, 476, 273, 269, 3767, 476, 272, 266, 273, 266, 272, 568, 476, 275, 865, 621, 568, 711, 8954, 1076, 676, 476, 274, 269, 1924, 649, 2119, 476, 276, 267, 278, 267, 1556, 267, 1724, 1862, 2394, 519, 4009, 3597, 540, 519, 1297, 1317, 952, 972, 568, 711, 1297, 1354, 519, 4009, 3597, 602, 1821, 1938, 519, 715, 9331, 21612, 630, 1492, 835, 602, 649, 1616, 547, 3815, 1125, 264, 1287, 972, 786, 581, 9039, 1310, 2094, 621, 3217, 835, 1354, 543, 835, 1310, 519, 4009, 3597, 585, 519, 1587, 547, 2285, 519, 8559, 1297, 630, 528, 1312, 693, 519, 1647, 952, 519, 715, 9331, 21612, 568, 513, 4009, 1040, 21453, 267, 865, 21762, 540, 476, 13199, 568, 4010, 476, 1556, 630, 6518, 568, 6305, 264, 865, 476, 13199, 815, 476, 1556, 265, 1556, 269, 1284, 723, 2907, 782, 938, 6305, 2188, 267, 865, 1100, 991, 547, 2119, 519, 824, 22136, 2433, 476, 4366, 275, 815, 476, 273, 265, 273, 265, 1556, 265, 1556, 630, 4754, 711, 1205, 1732, 2020, 25838, 2433, 711, 16883, 676, 476, 273, 855, 476, 273, 266, 275, 266, 274, 815, 476, 280, 568, 16883, 676, 476, 274, 9847, 3947, 476, 10037, 543, 676, 476, 274, 1586, 543, 1586, 1862, 2965, 476, 25838, 284, 274, 265, 274, 265, 274, 265, 274, 265, 274, 780, 3383, 972, 568, 1100, 1455, 3815, 1063, 476, 4366, 275, 543, 476, 25838, 269, 1924, 519, 6824, 476, 4366, 275, 270, 25838, 666, 711, 581, 16866, 269, 0, 258, 1323, 16988, 600, 547, 12384, 18741, 10309, 23586, 692, 1012, 476, 272, 1323, 16988, 600, 568, 3160, 547, 875, 1082, 12384, 18741, 10309, 2496, 2162, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 12384, 18741, 10309, 692, 7462, 13129, 901, 20593, 614, 1384, 2304, 16988, 600, 543, 12384, 18741, 10309, 1312, 616, 519, 8092, 6482, 1770, 269, 14424, 2418, 1063, 1770, 1323, 16988, 600, 609, 824, 8092, 6482, 4559, 269, 1411, 666, 849, 5173, 824, 8092, 7503, 4559, 602, 616, 2139, 593, 519, 2824, 4216, 267, 2348, 593, 713, 1482, 2985, 780, 2304, 16988, 600, 547, 12384, 18741, 10309, 7503, 2636, 596, 547, 6460, 1871, 1063, 1323, 16988, 600, 547, 12384, 18741, 10309, 3362, 269, 3807, 4283, 519, 1323, 16988, 600, 1871, 883, 519, 3403, 4216, 267, 519, 1062, 786, 8850, 5173, 12384, 18741, 10309, 1871, 269, 476, 272, 1323, 16988, 600, 538, 12384, 18741, 10309, 286, 769, 6310, 2474, 267, 476, 272, 1323, 16988, 600, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 12384, 18741, 10309, 780, 2414, 7503, 1871, 1063, 1323, 16988, 600, 547, 12384, 18741, 10309, 267, 1175, 9062, 519, 1871, 676, 519, 7503, 5223, 269, 2290, 1323, 16988, 600, 568, 3160, 547, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 12384, 18741, 10309, 267, 865, 946, 713, 2241, 4542, 547, 6460, 910, 692, 763, 1871, 538, 12384, 18741, 10309, 568, 3160, 547, 519, 1871, 540, 1323, 16988, 600, 16611, 676, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 780, 306, 13645, 18741, 10309, 815, 1323, 16988, 600, 2608, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 16963, 2690, 9819, 267, 1934, 781, 875, 547, 6460, 476, 1015, 1323, 16988, 600, 547, 12384, 18741, 10309, 1210, 519, 4542, 1657, 910, 692, 1015, 1323, 16988, 600, 815, 630, 1015, 2608, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 264, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 276, 12384, 18741, 10309, 454, 2304, 16988, 600, 12384, 18741, 10309, 630, 338, 336, 5998, 264, 23586, 454, 272, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 476, 272, 1323, 16988, 600, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 12384, 18741, 10309, 454, 273, 476, 272, 269, 24783, 3066, 292, 268, 276, 476, 273, 1323, 16988, 600, 815, 476, 272, 269, 24783, 3066, 292, 268, 276, 12384, 18741, 10309, 454, 274, 476, 273, 269, 23669, 31973, 292, 268, 276, 476, 274, 1323, 16988, 600, 815, 476, 273, 269, 23669, 31973, 292, 268, 276, 12384, 18741, 10309, 454, 275, 476, 273, 269, 6858, 277, 6812, 292, 268, 276, 476, 275, 1323, 16988, 600, 815, 476, 273, 269, 6858, 277, 6812, 292, 268, 276, 12384, 18741, 10309, 454, 276, 476, 274, 269, 24833, 278, 1839, 292, 268, 276, 476, 276, 1323, 16988, 600, 815, 476, 274, 269, 24833, 278, 1839, 292, 268, 276, 12384, 18741, 10309, 454, 277, 476, 275, 269, 26522, 9262, 292, 268, 276, 476, 277, 1323, 16988, 600, 815, 476, 275, 269, 26522, 9262, 292, 268, 276, 12384, 18741, 10309, 454, 278, 476, 275, 269, 6924, 275, 27888, 292, 268, 276, 476, 278, 1323, 16988, 600, 815, 476, 275, 269, 6924, 275, 27888, 292, 268, 276, 12384, 18741, 10309, 454, 279, 476, 276, 269, 31874, 1626, 292, 268, 276, 476, 279, 1323, 16988, 600, 815, 476, 276, 269, 31874, 1626, 292, 268, 276, 12384, 18741, 10309, 454, 280, 476, 277, 269, 28873, 25134, 292, 268, 276, 476, 280, 1323, 16988, 600, 815, 476, 277, 269, 28873, 25134, 292, 268, 276, 12384, 18741, 10309, 454, 1015, 476, 277, 269, 7597, 272, 3393, 292, 268, 276, 476, 1015, 1323, 16988, 600, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 276, 12384, 18741, 10309, 454, 1556, 476, 278, 269, 11740, 276, 4817, 292, 268, 276, 476, 1556, 1323, 16988, 600, 815, 476, 278, 269, 11740, 276, 4817, 292, 268, 276, 12384, 18741, 10309, 454, 1321, 476, 279, 269, 271, 3066, 10619, 292, 268, 276, 476, 1321, 1323, 16988, 600, 815, 476, 279, 269, 271, 3066, 10619, 292, 268, 276, 12384, 18741, 10309, 454, 1724, 476, 279, 269, 277, 7176, 279, 5952, 292, 268, 276, 476, 1724, 1323, 16988, 600, 815, 476, 279, 269, 277, 7176, 279, 5952, 292, 268, 276, 12384, 18741, 10309, 454, 1691, 476, 280, 269, 3607, 279, 6734, 292, 268, 276, 476, 1691, 1323, 16988, 600, 815, 476, 280, 269, 3607, 279, 6734, 292, 268, 276, 12384, 18741, 10309, 454, 1428, 476, 271, 269, 1822, 1911, 4391, 272, 4037, 476, 1428, 1323, 16988, 600, 815, 476, 271, 269, 1822, 1911, 4391, 272, 4037, 12384, 18741, 10309, 454, 1626, 476, 271, 269, 1822, 13040, 6187, 274, 273, 476, 1626, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13040, 6187, 274, 273, 12384, 18741, 10309, 454, 1704, 476, 271, 269, 1822, 13647, 4037, 275, 4792, 476, 1704, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13647, 4037, 275, 4792, 12384, 18741, 10309, 454, 1240, 476, 271, 269, 1822, 6344, 4510, 277, 272, 476, 1240, 1323, 16988, 600, 815, 476, 271, 269, 1822, 6344, 4510, 277, 272, 12384, 18741, 10309, 454, 866, 476, 271, 269, 1822, 14096, 15389, 4649, 476, 866, 1323, 16988, 600, 815, 476, 271, 269, 1822, 14096, 15389, 4649, 12384, 18741, 10309, 454, 736, 476, 271, 269, 1822, 15836, 279, 3066, 476, 736, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15836, 279, 3066, 12384, 18741, 10309, 454, 2641, 476, 271, 269, 1822, 9610, 26392, 3393, 476, 2641, 1323, 16988, 600, 815, 476, 271, 269, 1822, 9610, 26392, 3393, 12384, 18741, 10309, 454, 2420, 476, 271, 269, 1822, 15704, 21076, 280, 476, 2420, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15704, 21076, 280, 12384, 18741, 10309, 454, 2537, 476, 271, 269, 1822, 14631, 3445, 274, 3374, 476, 2537, 1323, 16988, 600, 815, 476, 271, 269, 1822, 14631, 3445, 274, 3374, 12384, 18741, 10309, 454, 2190, 476, 271, 269, 1822, 8182, 6795, 275, 279, 476, 2190, 1323, 16988, 600, 815, 476, 271, 269, 1822, 8182, 6795, 275, 279, 12384, 18741, 10309, 454, 1839, 476, 271, 269, 1822, 15757, 30525, 1839, 476, 1839, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15757, 30525, 1839, 12384, 18741, 10309, 454, 2918, 476, 271, 269, 1822, 15876, 280, 6507, 278, 476, 2918, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15876, 280, 6507, 278, 12384, 18741, 10309, 454, 2767, 476, 271, 269, 1822, 5197, 5780, 280, 1428, 476, 2767, 1323, 16988, 600, 815, 476, 271, 269, 1822, 5197, 5780, 280, 1428, 12384, 18741, 10309, 454, 2764, 476, 271, 269, 1822, 6942, 11740, 277, 476, 2764, 1323, 16988, 600, 815, 476, 271, 269, 1822, 6942, 11740, 277, 12384, 18741, 10309, 454, 3066, 476, 271, 269, 1822, 3707, 32180, 4962, 476, 3066, 1323, 16988, 600, 815, 476, 271, 269, 1822, 3707, 32180, 4962, 12384, 18741, 10309, 454, 1789, 476, 271, 269, 1822, 1220, 278, 6246, 276, 476, 1789, 1323, 16988, 600, 815, 476, 271, 269, 1822, 1220, 278, 6246, 276, 12384, 18741, 10309, 454, 4029, 476, 271, 269, 1822, 21709, 275, 4097, 4817, 476, 4029, 1323, 16988, 600, 815, 476, 271, 269, 1822, 21709, 275, 4097, 4817, 12384, 18741, 10309, 454, 3953, 476, 271, 269, 1822, 20969, 14695, 275, 476, 3953, 1323, 16988, 600, 815, 476, 271, 269, 1822, 20969, 14695, 275, 12384, 18741, 10309, 454, 3451, 476, 271, 269, 1822, 13136, 279, 1704, 5952, 476, 3451, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13136, 279, 1704, 5952, 12384, 18741, 10309, 454, 4097, 476, 271, 269, 1822, 25375, 2004, 280, 274, 476, 4097, 1323, 16988, 600, 815, 476, 271, 269, 1822, 25375, 2004, 280, 274, 12384, 18741, 10309, 454, 3374, 476, 271, 269, 1822, 23056, 1220, 4037, 476, 3374, 1323, 16988, 600, 815, 476, 271, 269, 1822, 23056, 1220, 4037, 12384, 18741, 10309, 454, 3607, 476, 271, 269, 1822, 13301, 8660, 273, 273, 476, 3607, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13301, 8660, 273, 273, 12384, 18741, 10309, 454, 4391, 476, 271, 269, 1822, 26316, 6812, 274, 4792, 476, 4391, 1323, 16988, 600, 815, 476, 271, 269, 1822, 26316, 6812, 274, 4792, 12384, 18741, 10309, 454, 4343, 476, 271, 269, 1822, 22724, 22550, 272, 476, 4343, 1323, 16988, 600, 815, 476, 271, 269, 1822, 22724, 22550, 272, 12384, 18741, 10309, 454, 4375, 476, 271, 269, 1822, 18605, 280, 5780, 4649, 476, 4375, 1323, 16988, 600, 815, 476, 271, 269, 1822, 18605, 280, 5780, 4649, 12384, 18741, 10309, 454, 2412, 476, 271, 269, 1822, 29045, 4792, 279, 476, 2412, 1323, 16988, 600, 815, 476, 271, 269, 1822, 29045, 4792, 279, 12384, 18741, 10309, 454, 6078, 476, 271, 269, 1822, 28638, 4097, 280, 3393, 476, 6078, 1323, 16988, 600, 815, 476, 271, 269, 1822, 28638, 4097, 280, 3393, 12384, 18741, 10309, 454, 5655, 476, 271, 269, 1822, 27005, 31239, 280, 476, 5655, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27005, 31239, 280, 12384, 18741, 10309, 454, 6246, 476, 271, 269, 1822, 27868, 278, 3953, 3374, 476, 6246, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27868, 278, 3953, 3374, 12384, 18741, 10309, 454, 4510, 476, 271, 269, 1822, 29848, 275, 2537, 279, 476, 4510, 1323, 16988, 600, 815, 476, 271, 269, 1822, 29848, 275, 2537, 279, 12384, 18741, 10309, 454, 3393, 476, 271, 269, 1822, 22145, 12893, 1839, 476, 3393, 1323, 16988, 600, 815, 476, 271, 269, 1822, 22145, 12893, 1839, 12384, 18741, 10309, 454, 5379, 476, 271, 269, 1822, 28906, 3199, 277, 278, 476, 5379, 1323, 16988, 600, 815, 476, 271, 269, 1822, 28906, 3199, 277, 278, 12384, 18741, 10309, 454, 5325, 476, 271, 269, 1822, 27183, 5392, 279, 1428, 476, 5325, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27183, 5392, 279, 1428, 12384, 18741, 10309, 454, 4366, 476, 271, 269, 1822, 25834, 6245, 277, 476, 4366, 1323, 16988, 600, 815, 476, 271, 269, 1822, 25834, 6245, 277, 12384, 18741, 10309, 454, 5392, 476, 271, 269, 1822, 27628, 6434, 272, 4962, 476, 5392, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27628, 6434, 272, 4962, 12384, 18741, 10309, 454, 2004, 476, 271, 269, 1822, 31172, 6872, 273, 276, 476, 2004, 1323, 16988, 600, 815, 476, 271, 269, 1822, 31172, 6872, 273, 276, 12384, 18741, 10309, 454, 7906, 476, 271, 269, 1822, 30130, 28091, 4817, 476, 7906, 1323, 16988, 600, 815, 476, 271, 269, 1822, 30130, 28091, 4817, 12384, 18741, 10309, 454, 7367, 476, 271, 269, 1822, 31003, 280, 4649, 275, 476, 7367, 1323, 16988, 600, 815, 476, 271, 269, 1822, 31003, 280, 4649, 275, 12384, 18741, 10309, 454, 7871, 476, 271, 269, 1822, 30500, 5038, 277, 5952, 476, 7871, 1323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1022, 2185, 15654, 10116, 569, 3732, 2164, 693, 602, 4087, 269, 634, 8247, 540, 713, 1689, 568, 547, 2569, 667, 21990, 4598, 543, 1683, 811, 12581, 1072, 4027, 543, 547, 2539, 1761, 2860, 267, 10285, 267, 543, 11095, 4220, 630, 292, 5183, 267, 476, 1220, 277, 320, 1040, 1677, 3313, 519, 6753, 1369, 519, 3892, 1062, 1141, 519, 5207, 2157, 540, 8946, 16039, 543, 22743, 2026, 616, 4397, 547, 2049, 267, 519, 14329, 3340, 1216, 1949, 547, 2932, 606, 19461, 17392, 3590, 16214, 269, 19461, 17392, 3590, 10159, 340, 725, 616, 2090, 602, 6218, 8946, 300, 543, 670, 8150, 2157, 693, 1585, 2798, 1369, 519, 3892, 1062, 269, 634, 2164, 689, 891, 2090, 2059, 609, 4540, 10220, 5464, 1344, 786, 581, 1031, 547, 3313, 2104, 10220, 5464, 6753, 563, 8016, 305, 585, 2985, 476, 6321, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 7043, 12910, 476, 273, 24046, 17183, 4826, 9615, 14329, 2201, 5130, 476, 276, 267, 476, 1220, 277, 267, 16501, 7550, 519, 7043, 12910, 476, 273, 24046, 17183, 4826, 9615, 14329, 630, 299, 307, 273, 2464, 310, 15045, 1040, 634, 700, 307, 273, 2464, 310, 15045, 10039, 547, 1857, 1216, 1949, 602, 946, 2627, 1216, 610, 15780, 896, 519, 1463, 3310, 540, 2627, 1216, 269, 634, 3483, 540, 519, 700, 307, 273, 2464, 310, 15045, 568, 547, 2569, 2068, 11841, 2404, 609, 15303, 30950, 29899, 543, 824, 23633, 14471, 538, 6704, 1216, 269, 634, 700, 307, 273, 2464, 310, 15045, 9360, 4540, 6042, 676, 13389, 3606, 15303, 30950, 29899, 2126, 4170, 547, 2362, 1981, 1949, 1759, 593, 4890, 5464, 1239, 540, 2707, 1216, 2298, 269, 634, 700, 307, 273, 2464, 310, 15045, 849, 3568, 14074, 547, 11574, 4220, 689, 20114, 8737, 1216, 4859, 6703, 269, 4826, 1949, 609, 20114, 8737, 1216, 4859, 23854, 616, 2838, 547, 3382, 519, 13111, 610, 1521, 519, 13111, 11166, 547, 519, 3892, 1062, 547, 3035, 30737, 10474, 543, 5924, 8851, 540, 693, 2547, 476, 273, 2000, 690, 15303, 30950, 29899, 267, 476, 274, 2000, 690, 16902, 731, 807, 267, 543, 476, 275, 2000, 690, 3644, 630, 292, 5183, 267, 476, 1220, 277, 321, 1040, 7053, 267, 547, 2327, 602, 1949, 2226, 15451, 4027, 607, 789, 1491, 3268, 547, 2569, 519, 5250, 540, 24766, 11679, 519, 700, 307, 273, 2464, 310, 15045, 3340, 1216, 1949, 602, 6069, 547, 12189, 741, 771, 26529, 1184, 547, 2569, 8946, 16039, 543, 22743, 2026, 547, 2708, 519, 4540, 2157, 540, 771, 26529, 602, 519, 1062, 2488, 269, 7010, 616, 2838, 547, 3715, 513, 25162, 267, 799, 568, 519, 1062, 779, 9803, 10865, 3328, 15451, 30737, 10474, 269, 1403, 519, 25162, 568, 811, 982, 519, 2838, 30737, 10474, 540, 476, 274, 2000, 690, 8851, 585, 16902, 731, 807, 543, 476, 275, 2000, 690, 8851, 585, 8290, 267, 519, 1062, 949, 2015, 13302, 519, 2179, 540, 21149, 656, 3773, 610, 519, 3346, 942, 267, 610, 19249, 824, 771, 26529, 2853, 547, 2539, 8946, 300, 543, 670, 8150, 2157, 630, 292, 5183, 267, 476, 1220, 277, 321, 1040, 1133, 29970, 2552, 3133, 656, 16424, 14329, 476, 273, 2201, 4864, 476, 2420, 267, 476, 1220, 276, 267, 16501, 6069, 519, 2034, 540, 1079, 1133, 29970, 2552, 3133, 656, 16424, 16390, 630, 10813, 17307, 273, 1070, 799, 786, 2154, 5464, 585, 513, 1592, 540, 476, 2918, 3114, 17694, 16143, 547, 581, 1459, 538, 6704, 1216, 269, 634, 3483, 540, 519, 772, 13967, 305, 273, 568, 547, 1020, 1239, 593, 519, 12136, 540, 891, 17694, 538, 6704, 1216, 267, 519, 2450, 540, 519, 2551, 6534, 547, 891, 17694, 267, 543, 519, 2157, 540, 519, 4598, 269, 901, 1344, 786, 581, 1031, 2059, 609, 1072, 2360, 1344, 547, 3313, 2436, 610, 711, 6704, 1216, 4441, 1058, 581, 3964, 585, 891, 17694, 269, 2353, 2146, 1216, 1949, 543, 1875, 20675, 1304, 267, 1875, 268, 10919, 640, 1216, 1949, 7674, 811, 982, 476, 1015, 267, 1822, 1004, 786, 581, 2838, 547, 6895, 267, 1247, 513, 11347, 3732, 540, 476, 8517, 2146, 1216, 1949, 543, 1875, 20675, 1304, 267, 1875, 268, 10919, 640, 1216, 1949, 7674, 1447, 982, 476, 1015, 267, 1822, 1004, 786, 723, 547, 4163, 856, 5464, 269, 634, 5464, 568, 6069, 547, 2253, 538, 476, 1220, 278, 269, 9521, 519, 1101, 772, 13967, 305, 630, 6518, 568, 711, 5941, 1657, 1070, 519, 772, 13967, 305, 273, 786, 1331, 17694, 602, 616, 2808, 1761, 24766, 11679, 543, 585, 799, 5464, 786, 581, 5342, 538, 519, 3892, 1062, 269, 1452, 17694, 1331, 519, 6491, 4592, 26952, 715, 5991, 527, 549, 810, 26817, 14007, 8533, 630, 21254, 12788, 1070, 715, 5991, 527, 549, 810, 1673, 574, 14007, 8533, 454, 8016, 305, 585, 2985, 476, 6872, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 630, 21254, 7246, 1070, 715, 5991, 527, 549, 810, 26817, 5991, 1532, 583, 2643, 8533, 630, 21254, 10621, 1070, 715, 5991, 527, 549, 810, 26817, 5991, 1790, 1886, 2643, 8533, 630, 21254, 5183, 1070, 715, 5991, 527, 549, 810, 2173, 996, 1803, 628, 2643, 8533, 630, 301, 10933, 288, 264, 543, 715, 5991, 527, 549, 810, 1790, 10455, 1503, 26593, 630, 23259, 312, 305, 1040, 21193, 4592, 26952, 616, 2808, 1761, 1480, 15910, 11077, 267, 543, 27020, 7246, 814, 1044, 3254, 547, 1106, 538, 8392, 3990, 610, 8392, 3133, 730, 1216, 607, 513, 1267, 540, 771, 26529, 630, 292, 5183, 267, 476, 1220, 276, 321, 1040, 4826, 8232, 5829, 6034, 1161, 543, 16572, 4014, 711, 513, 1007, 3390, 267, 3354, 814, 1831, 14063, 547, 519, 1216, 10626, 2872, 2094, 519, 2621, 540, 5181, 476, 1556, 267, 476, 1220, 272, 269, 634, 1761, 585, 2067, 267, 23139, 267, 543, 3483, 995, 12526, 540, 1216, 3761, 814, 1044, 1459, 585, 5756, 2436, 538, 519, 1106, 540, 16767, 267, 17160, 267, 29908, 540, 6757, 6464, 267, 610, 6411, 540, 642, 663, 16117, 269, 1280, 1383, 267, 538, 2904, 476, 1960, 279, 267, 5518, 22735, 9783, 30814, 6034, 633, 630, 11520, 291, 264, 476, 8287, 602, 13890, 513, 3609, 593, 2565, 5989, 4027, 267, 1519, 938, 4182, 779, 1216, 7727, 269, 1717, 267, 621, 729, 711, 2394, 1310, 5181, 476, 1556, 267, 476, 1220, 272, 267, 602, 519, 1216, 2872, 5963, 5059, 593, 519, 13438, 540, 519, 4182, 779, 1216, 7727, 547, 3354, 6937, 269, 769, 6284, 540, 891, 2152, 267, 5518, 17312, 9896, 5398, 2657, 8232, 543, 645, 3999, 19587, 1143, 16721, 1563, 1145, 543, 15863, 2920, 540, 476, 1220, 273, 630, 1492, 968, 289, 3999, 19587, 1143, 2920, 14615, 883, 1876, 538, 4873, 476, 1220, 273, 630, 12195, 13040, 268, 6642, 1040, 7201, 519, 4170, 540, 519, 645, 3999, 19587, 1143, 2920, 267, 6704, 1216, 20848, 616, 2838, 547, 5965, 13438, 10526, 543, 6595, 3210, 4566, 585, 1216, 1949, 7674, 693, 2547, 476, 274, 267, 4968, 1004, 269, 2878, 265, 7305, 476, 273, 268, 273, 26564, 519, 1883, 10421, 4433, 264, 540, 5313, 3652, 543, 6042, 689, 513, 3892, 1062, 5133, 269, 3557, 27943, 15789, 3557, 9431, 3292, 602, 2232, 1216, 3892, 1949, 666, 4268, 3648, 269, 769, 2489, 1034, 2829, 723, 27152, 543, 9431, 4170, 602, 3382, 630, 272, 264, 1374, 267, 4070, 267, 5106, 267, 543, 5826, 540, 3892, 1949, 267, 630, 273, 264, 3444, 8410, 3825, 1852, 267, 543, 630, 274, 264, 21818, 2472, 14468, 585, 946, 5083, 340, 656, 547, 1977, 2817, 11621, 4659, 270, 22085, 293, 4139, 630, 3198, 10485, 270, 10064, 293, 264, 4441, 476, 2568, 543, 476, 8618, 269, 5015, 267, 1034, 2829, 723, 7550, 513, 21818, 3009, 602, 9598, 919, 519, 2010, 540, 2326, 602, 666, 581, 1031, 585, 23350, 21818, 267, 4352, 891, 9479, 616, 711, 3622, 24451, 689, 513, 1533, 27152, 610, 9431, 29459, 855, 2864, 616, 8045, 693, 519, 2199, 10315, 543, 5924, 18513, 1377, 563, 8016, 305, 585, 2985, 476, 10602, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 19372, 30997, 2962, 5773, 7638, 1518, 543, 19472, 519, 670, 3722, 9573, 4643, 19372, 2594, 5329, 543, 5539, 670, 3722, 9573, 568, 513, 1981, 2359, 1982, 1317, 20848, 946, 621, 547, 1101, 2697, 543, 6218, 10898, 270, 5142, 802, 267, 543, 1287, 547, 3715, 1852, 1949, 547, 7413, 519, 12136, 543, 2360, 540, 13685, 602, 949, 1764, 519, 3106, 543, 2298, 540, 519, 1216, 269, 589, 1216, 10626, 666, 3442, 547, 4019, 670, 3722, 9573, 547, 1022, 835, 968, 15263, 892, 1765, 328, 4318, 1421, 24659, 2889, 339, 1254, 267, 2126, 267, 610, 519, 3892, 1062, 269, 2368, 20848, 949, 2907, 723, 1434, 24659, 4027, 3292, 543, 1434, 1852, 936, 2126, 6703, 267, 543, 865, 949, 2070, 519, 3892, 1062, 607, 513, 10862, 269, 1717, 267, 1317, 670, 3722, 9573, 568, 513, 14942, 1935, 547, 1062, 2359, 602, 2337, 519, 10626, 547, 2697, 968, 327, 1794, 1841, 892, 2417, 25318, 267, 621, 1568, 3833, 1134, 607, 513, 3102, 1062, 1544, 267, 689, 2707, 547, 7148, 269, 1280, 5021, 2640, 267, 621, 568, 1271, 547, 4734, 519, 3375, 547, 1367, 20848, 543, 711, 581, 1932, 1095, 20696, 827, 875, 547, 4019, 670, 3722, 9573, 630, 293, 3072, 2006, 1696, 620, 1421, 476, 1220, 276, 1040, 589, 5063, 6192, 1788, 23032, 676, 519, 32217, 23354, 3194, 7690, 630, 293, 3072, 2006, 1696, 620, 1421, 476, 1220, 276, 264, 6257, 670, 3722, 9573, 12681, 2090, 5342, 609, 1614, 20848, 685, 3892, 1949, 1765, 15124, 518, 595, 32385, 10620, 4826, 3718, 267, 595, 32385, 10620, 267, 11882, 282, 2836, 326, 776, 4826, 3718, 267, 2836, 326, 776, 267, 22598, 282, 543, 519, 4975, 540, 31231, 1777, 267, 31231, 1777, 267, 6115, 269, 9751, 11925, 941, 4371, 693, 1142, 10626, 4087, 547, 2491, 670, 3722, 9573, 16166, 543, 547, 20006, 1646, 540, 519, 10626, 779, 670, 3722, 9573, 1544, 269, 3962, 10283, 10626, 4646, 513, 670, 3722, 9573, 2319, 547, 2417, 1020, 519, 670, 3722, 9573, 1544, 543, 547, 3391, 922, 6388, 269, 634, 3804, 729, 585, 1142, 10626, 547, 2936, 741, 670, 3722, 9573, 1544, 936, 513, 476, 1321, 18881, 1974, 1282, 799, 1978, 10512, 543, 1216, 2298, 6724, 1131, 581, 16913, 269, 634, 10283, 20848, 1336, 602, 519, 6388, 540, 670, 3722, 9573, 547, 1216, 3761, 3892, 729, 15164, 543, 4052, 267, 855, 602, 519, 942, 543, 4199, 4170, 941, 3152, 982, 8385, 17191, 269, 634, 1646, 540, 519, 670, 3722, 9573, 1544, 729, 3730, 538, 28798, 538, 593, 519, 1034, 1271, 4220, 543, 1184, 8060, 585, 1216, 2298, 2359, 269, 10738, 519, 476, 1321, 18881, 12681, 1353, 1974, 267, 9039, 540, 519, 1614, 10283, 20848, 2919, 513, 4628, 8045, 670, 3722, 9573, 1982, 585, 13995, 269, 589, 3476, 1974, 540, 942, 543, 5924, 513, 3152, 4199, 7029, 729, 2693, 547, 581, 2838, 1354, 519, 670, 3722, 9573, 1949, 1131, 581, 2808, 4628, 8045, 267, 2347, 267, 543, 5909, 16666, 269, 13340, 476, 273, 268, 273, 6257, 1079, 824, 670, 3722, 9573, 2013, 2090, 538, 1469, 267, 585, 21388, 267, 7147, 267, 543, 8738, 19213, 267, 19051, 269, 22085, 293, 4139, 2488, 670, 3722, 9573, 13995, 547, 1216, 20848, 538, 519, 2136, 2276, 998, 922, 670, 3722, 9573, 268, 12010, 271, 14261, 1982, 269, 634, 1982, 5161, 540, 3791, 18407, 19027, 540, 10626, 670, 3722, 9573, 4566, 267, 5916, 609, 513, 14261, 609, 18869, 476, 12010, 271, 4441, 269, 1717, 267, 10073, 540, 519, 670, 3722, 9573, 1935, 991, 711, 581, 13615, 18005, 547, 971, 11889, 3292, 269, 670, 3722, 9573, 1223, 581, 606, 7533, 851, 540, 513, 10626, 779, 3892, 1062, 2359, 1544, 267, 2901, 538, 1840, 547, 610, 538, 9114, 340, 540, 717, 1220, 630, 326, 1508, 519, 8101, 10486, 1063, 519, 1079, 3292, 1040, 769, 1880, 267, 670, 3722, 9573, 568, 3730, 585, 5355, 513, 10626, 779, 4656, 540, 922, 4540, 12240, 543, 875, 621, 666, 1732, 4383, 519, 1344, 454, 8016, 305, 585, 2985, 476, 6507, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 8659, 1369, 267, 543, 585, 5009, 2594, 5329, 543, 8989, 269, 31379, 25077, 602, 670, 3722, 9573, 568, 2370, 811, 982, 5265, 5665, 513, 3892, 1062, 269, 11569, 267, 972, 949, 581, 2370, 1871, 3773, 538, 519, 2136, 2276, 1141, 20848, 616, 5266, 8185, 14931, 3379, 547, 824, 2477, 1141, 670, 3722, 9573, 814, 1044, 6707, 7550, 630, 7945, 607, 5245, 267, 799, 814, 1100, 3084, 1216, 2298, 4441, 1040, 1717, 267, 15156, 25077, 602, 519, 851, 540, 670, 3722, 9573, 602, 1034, 20848, 798, 711, 2907, 4497, 538, 568, 10992, 547, 13182, 602, 3527, 616, 2324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 27018, 5440, 1108, 256, 901, 7936, 540, 6128, 1522, 3280, 7294, 267, 855, 1810, 1405, 5855, 910, 649, 3513, 2736, 621, 1524, 1927, 543, 2263, 922, 4241, 1158, 269, 5994, 1373, 2111, 547, 1174, 5546, 899, 2760, 1354, 267, 12423, 1007, 2081, 547, 4766, 741, 7252, 543, 3601, 269, 2334, 781, 1018, 11186, 23289, 2636, 721, 547, 798, 2439, 4131, 781, 1376, 609, 1945, 2241, 281, 4952, 8066, 513, 3440, 538, 707, 1688, 269, 3767, 1589, 827, 513, 6366, 4062, 540, 1957, 269, 5637, 723, 1114, 7516, 543, 3601, 267, 1318, 286, 769, 6128, 267, 891, 3604, 948, 721, 30387, 543, 1353, 3615, 1759, 593, 741, 4162, 269, 1284, 1289, 713, 1184, 834, 9008, 1108, 2437, 799, 9388, 609, 519, 3601, 540, 2230, 602, 616, 12873, 896, 6024, 22775, 725, 971, 607, 15198, 543, 19755, 267, 855, 711, 751, 2130, 610, 1350, 5224, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 834, 18528, 22460, 23289, 1701, 898, 781, 513, 2027, 1858, 1369, 23289, 602, 10905, 11810, 630, 1492, 1353, 540, 1689, 264, 543, 9511, 630, 1492, 1353, 540, 3337, 1040, 1635, 16471, 891, 1079, 4610, 267, 649, 666, 4983, 5347, 7252, 267, 14258, 267, 543, 3252, 609, 1390, 1469, 269, 1280, 1383, 267, 952, 649, 1491, 513, 2673, 1413, 693, 513, 13558, 3440, 267, 3079, 540, 1175, 7487, 621, 607, 513, 12106, 267, 649, 666, 5659, 922, 6946, 4806, 1500, 909, 540, 20008, 30368, 543, 15279, 30368, 1107, 782, 7064, 547, 11186, 23289, 2439, 5331, 2348, 513, 9589, 3172, 4328, 4837, 602, 13071, 596, 1294, 519, 6263, 15113, 543, 23898, 593, 1022, 2627, 269, 2060, 11186, 23289, 267, 649, 946, 6310, 2645, 1572, 16755, 543, 29398, 547, 2268, 891, 2242, 269, 14216, 643, 2510, 2995, 721, 875, 3728, 1919, 616, 4657, 267, 1247, 29398, 2285, 721, 1344, 827, 13250, 610, 2698, 5666, 936, 1978, 4525, 269, 8625, 267, 789, 1450, 721, 547, 1711, 5730, 3631, 540, 1950, 7252, 543, 1732, 1174, 741, 3889, 780, 2080, 781, 513, 1187, 1383, 1210, 16755, 281, 15475, 596, 4941, 547, 1265, 856, 945, 814, 519, 1159, 2393, 4554, 18530, 5163, 1851, 707, 2828, 269, 1411, 1223, 4670, 1142, 1268, 19184, 532, 513, 535, 5142, 23331, 543, 1287, 10250, 519, 2619, 540, 519, 1167, 2429, 922, 8184, 269, 4635, 16755, 267, 596, 666, 3313, 519, 3432, 543, 10231, 540, 519, 535, 5142, 23331, 1282, 922, 18330, 269, 24951, 891, 2338, 1063, 12235, 619, 1131, 7866, 4171, 5322, 616, 1034, 5714, 543, 5812, 267, 1818, 873, 519, 1655, 11134, 585, 10700, 535, 5142, 23331, 588, 731, 558, 2439, 2026, 596, 3136, 1565, 827, 11186, 23289, 267, 3314, 602, 2979, 3884, 1405, 1175, 827, 6061, 4834, 282, 621, 781, 849, 827, 3695, 7493, 2035, 543, 26500, 4296, 1063, 9583, 20775, 9259, 269, 1924, 1832, 6998, 2055, 267, 3251, 8049, 267, 543, 2972, 707, 7045, 883, 713, 9159, 7706, 540, 6128, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 323, 5877, 3919, 538, 602, 15569, 269, 4647, 8165, 12611, 267, 711, 267, 602, 950, 596, 616, 513, 2232, 2196, 543, 513, 22640, 11422, 267, 596, 786, 24244, 590, 11057, 3747, 4559, 1141, 519, 1949, 1283, 28558, 269, 17227, 13163, 676, 10115, 621, 547, 20206, 3634, 22125, 4717, 20788, 269, 5272, 4647, 8165, 12611, 5654, 513, 476, 272, 268, 12914, 268, 1960, 276, 543, 1930, 3331, 506, 269, 5272, 4647, 8165, 21810, 513, 3656, 4708, 4994, 532, 540, 606, 1519, 3611, 636, 540, 2418, 543, 3275, 269, 1703, 6087, 606, 30366, 1657, 4647, 8165, 12611, 875, 547, 3715, 543, 4383, 606, 4550, 12611, 540, 2234, 3930, 543, 862, 1080, 1472, 1169, 4657, 563, 763, 1585, 4647, 8165, 12611, 1058, 1439, 519, 7734, 585, 741, 2663, 1473, 340, 576, 618, 267, 855, 621, 1058, 711, 1590, 518, 1101, 607, 606, 1379, 547, 519, 1413, 2228, 585, 1346, 2870, 883, 5312, 2694, 540, 9696, 269, 1703, 9765, 16168, 32308, 689, 1312, 6575, 540, 7457, 269, 7771, 1974, 593, 519, 9746, 269, 589, 1297, 811, 711, 3177, 547, 519, 4872, 540, 2693, 2835, 1131, 2347, 4143, 24299, 543, 606, 3135, 540, 7397, 609, 873, 269, 769, 519, 4647, 4339, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17843, 658, 5440, 1108, 257, 607, 851, 540, 834, 21316, 30388, 1315, 5440, 1108, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7689, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 1053, 786, 581, 2111, 547, 946, 10444, 3877, 538, 10855, 1603, 998, 30998, 12987, 6273, 676, 11174, 15923, 5931, 602, 1445, 593, 1893, 6575, 543, 1514, 5126, 4798, 780, 7072, 912, 1103, 2221, 781, 2486, 267, 972, 616, 1082, 15731, 543, 2238, 2139, 585, 1164, 1153, 1053, 602, 2832, 547, 3895, 13784, 543, 4763, 269, 634, 12891, 15842, 758, 4400, 3427, 11833, 338, 543, 11242, 2985, 8711, 1079, 971, 2516, 910, 519, 589, 9391, 1133, 1881, 11833, 543, 519, 12891, 15842, 758, 14175, 11312, 5980, 269, 1452, 3906, 1683, 2922, 5624, 585, 782, 1053, 547, 1865, 1271, 3584, 4478, 9124, 543, 14920, 1247, 2324, 2509, 10678, 7130, 269, 769, 1931, 547, 2417, 2263, 891, 4798, 267, 1053, 666, 4497, 538, 14436, 30998, 5751, 1210, 10444, 3877, 547, 4766, 1585, 7653, 789, 1522, 7237, 1369, 891, 15731, 269, 901, 1826, 540, 10855, 1603, 2636, 1762, 5830, 547, 2259, 1210, 12667, 11052, 543, 1808, 3877, 547, 1711, 2502, 6386, 780, 8893, 4886, 1384, 296, 269, 4197, 11576, 800, 19672, 538, 29149, 5675, 454, 288, 269, 19247, 540, 10444, 3877, 630, 6343, 789, 616, 543, 1946, 789, 616, 1271, 994, 306, 29022, 3877, 3277, 547, 519, 6405, 2609, 538, 513, 4062, 540, 1603, 602, 9029, 547, 938, 12823, 1107, 8289, 267, 3280, 267, 5905, 267, 6492, 267, 543, 9329, 269, 1358, 948, 3988, 14650, 543, 1995, 513, 6429, 607, 952, 789, 941, 2965, 1459, 269, 1879, 1031, 3927, 267, 10444, 3877, 1118, 11673, 2097, 9800, 267, 3850, 519, 5467, 547, 4628, 23365, 2933, 538, 519, 1650, 563, 289, 269, 6201, 540, 2178, 10444, 3877, 538, 3332, 454, 17809, 728, 1896, 1806, 689, 2442, 1453, 781, 2835, 610, 4930, 602, 6542, 2500, 946, 540, 10444, 1893, 269, 1280, 3236, 267, 834, 763, 25569, 667, 19843, 257, 676, 661, 32642, 6480, 525, 3568, 3532, 10444, 3877, 950, 10503, 654, 7701, 781, 18803, 1753, 281, 834, 2467, 729, 1100, 19880, 267, 1152, 513, 15265, 9329, 540, 856, 5264, 29886, 7404, 4799, 290, 269, 17564, 2055, 547, 2638, 8223, 454, 268, 4208, 798, 4589, 946, 10444, 3877, 888, 268, 1215, 798, 10444, 3877, 3986, 707, 1620, 540, 513, 1915, 610, 4259, 2496, 2862, 269, 19565, 27140, 7956, 16709, 454, 288, 269, 4985, 547, 519, 5697, 5931, 454, 16521, 2085, 29003, 267, 8903, 15923, 5931, 10704, 1472, 3309, 2833, 543, 1514, 5126, 4798, 4143, 547, 519, 12891, 15842, 758, 4400, 3427, 11833, 338, 269, 2368, 1761, 3681, 1223, 1331, 912, 268, 834, 4910, 1051, 257, 676, 5213, 320, 4173, 933, 1188, 19676, 454, 268, 834, 2171, 3657, 2353, 18004, 5131, 281, 634, 17629, 16672, 540, 5274, 7126, 538, 24436, 257, 12995, 676, 2549, 333, 17965, 4139, 454, 268, 834, 1805, 821, 13665, 281, 589, 8490, 269, 1323, 772, 19828, 269, 589, 7169, 257, 676, 7605, 9995, 619, 454, 289, 269, 9540, 1895, 5717, 543, 4830, 2079, 454, 5970, 1053, 2736, 883, 1507, 2516, 543, 5659, 741, 8655, 1257, 267, 3168, 4481, 693, 875, 519, 2278, 3096, 10444, 1893, 547, 6655, 2495, 269, 11559, 873, 547, 896, 1467, 610, 5031, 3226, 11495, 15102, 563, 290, 269, 19457, 4681, 609, 15032, 454, 1103, 341, 924, 13222, 689, 1142, 1895, 547, 2671, 741, 7422, 609, 519, 1964, 540, 519, 1362, 269, 11120, 4106, 622, 513, 2898, 11665, 4901, 9236, 543, 17804, 519, 1114, 2081, 4589, 6451, 10444, 3877, 780, 7656, 269, 16792, 11576, 800, 5678, 9828, 3414, 4750, 532, 8871, 14186, 454, 288, 269, 11137, 540, 30998, 3635, 454, 23737, 602, 1053, 786, 1631, 723, 519, 4316, 547, 4019, 1018, 789, 4312, 4121, 827, 10444, 1893, 547, 2123, 1603, 12987, 1759, 593, 3871, 789, 1522, 7237, 538, 519, 589, 9391, 1133, 1881, 11833, 610, 12891, 15842, 758, 14175, 11312, 5980, 269, 3629, 1806, 899, 912, 268, 5994, 596, 616, 24749, 693, 606, 2680, 6896, 676, 519, 589, 9391, 1133, 1881, 11833, 269, 14674, 519, 5790, 1210, 10444, 3877, 269, 1548, 4992, 798, 596, 5873, 286, 1548, 24462, 3295, 596, 286, 1215, 1281, 15700, 2326, 2404, 609, 519, 1788, 1118, 596, 1745, 888, 268, 1411, 616, 9361, 538, 513, 5870, 585, 519, 12891, 15842, 758, 14175, 11312, 5980, 267, 7234, 2994, 547, 8396, 11648, 269, 14674, 519, 7215, 593, 707, 9905, 262, 8188, 607, 789, 3717, 6612, 2299, 827, 741, 2093, 563, 289, 269, 18763, 30998, 942, 454, 24876, 1053, 15792, 942, 547, 2328, 11884, 538, 3210, 547, 891, 12987, 267, 8716, 5876, 543, 1582, 22325, 269, 3816, 785, 873, 547, 946, 3638, 10444, 1893, 2429, 741, 4773, 563, 290, 269, 25398, 11049, 543, 14469, 454, 5475, 11264, 741, 3355, 31585, 267, 6292, 1053, 1927, 547, 5385, 13746, 543, 2709, 16268, 5955, 269, 22716, 1125, 519, 2956, 540, 6220, 10444, 3877, 543, 3246, 1808, 1806, 269, 14190, 942, 585, 26941, 1759, 593, 9263, 10372, 563, 291, 269, 8838, 1308, 4687, 8400, 454, 3519, 2850, 519, 2534, 676, 18136, 13538, 547, 2671, 32461, 689, 741, 13746, 16965, 269, 11559, 19700, 547, 2697, 8320, 1141, 519, 10584, 6707, 11368, 10444, 1893, 780, 4353, 269, 17583, 547, 7351, 12367, 1299, 7464, 5020, 10241, 454, 28097, 4296, 1063, 519, 30998, 12987, 543, 4207, 5322, 14957, 585, 9659, 2924, 543, 11806, 266, 7862, 269, 9523, 3377, 2984, 610, 7194, 20515, 519, 5571, 991, 585, 8537, 2950, 543, 11215, 5054, 585, 12790, 6107, 269, 7053, 267, 5000, 1053, 547, 2015, 875, 14304, 741, 22423, 1983, 543, 10855, 1603, 5759, 666, 9797, 1764, 741, 1378, 4205, 609, 3309, 2043, 543, 2516, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 327, 15842, 758, 4400, 3427, 11833, 338, 543, 11242, 454, 347, 5141, 889, 610, 11314, 8745, 454, 1475, 9288, 7566, 17963, 543, 8648, 454, 24820, 9391, 1133, 1881, 11833, 454, 1475, 9336, 824, 11728, 267, 476, 274, 281, 3393, 268, 275, 281, 1789, 454, 1475, 763, 589, 9391, 1133, 1881, 11833, 1568, 547, 3895, 519, 10014, 540, 3025, 269, 11242, 949, 1331, 4543, 609, 2027, 3785, 267, 5986, 267, 12180, 543, 11504, 2621, 267, 5009, 4656, 267, 543, 1454, 811, 563, 1475, 4462, 1881, 11833, 26850, 518, 454, 347, 2026, 327, 15842, 758, 14175, 11312, 5980, 454, 1475, 9288, 7566, 2053, 786, 581, 5462, 952, 1053, 2769, 606, 1719, 538, 519, 8630, 543, 952, 513, 2875, 3268, 909, 547, 1291, 519, 8630, 563, 1475, 763, 12891, 15842, 758, 14175, 11312, 5980, 568, 513, 2875, 24507, 8630, 799, 2488, 513, 2922, 1747, 585, 11806, 266, 1053, 543, 741, 2786, 16167, 547, 2743, 267, 1489, 1142, 824, 267, 2911, 827, 2152, 1644, 547, 4638, 10066, 543, 4008, 3961, 543, 4082, 267, 543, 960, 547, 1439, 4630, 22785, 543, 1098, 874, 14113, 563, 1475, 2026, 327, 15842, 758, 14175, 11312, 5980, 26850, 518, 454, 2026, 327, 15842, 758, 14175, 11312, 5980, 19534, 454, 21270, 4490, 540, 519, 7734, 454, 1475, 289, 4490, 540, 519, 7734, 568, 513, 2542, 4161, 585, 4896, 945, 568, 8348, 547, 1224, 519, 1592, 540, 476, 1626, 2835, 543, 581, 5423, 547, 524, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 5678, 8551, 1315, 4750, 5675, 1315, 4635, 590, 5151, 538, 29149, 5675, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1131, 581, 1447, 11213, 543, 4443, 547, 6023, 982, 24409, 563, 8802, 22399, 538, 3127, 543, 3624, 723, 2907, 23498, 2472, 602, 616, 13950, 998, 519, 28296, 563, 19328, 779, 1072, 14012, 2063, 3923, 9516, 32038, 520, 4437, 1774, 577, 779, 5046, 268, 866, 17725, 10936, 6669, 1247, 3624, 779, 2052, 306, 3626, 4437, 860, 923, 267, 5549, 269, 2063, 3923, 4465, 6595, 13170, 676, 519, 2197, 779, 3075, 26273, 585, 606, 31067, 4528, 540, 922, 5046, 268, 866, 6669, 563, 4692, 306, 3626, 814, 1767, 2090, 8612, 602, 922, 6669, 267, 9447, 3842, 513, 683, 12712, 6500, 3926, 267, 666, 16578, 2178, 12046, 547, 3927, 2270, 3968, 267, 1247, 32038, 520, 779, 4693, 2164, 723, 711, 2943, 1044, 3370, 563, 763, 3703, 4693, 19801, 476, 1789, 5892, 796, 341, 3147, 3990, 5171, 607, 1134, 607, 476, 1321, 13538, 267, 945, 1185, 5892, 4607, 513, 3044, 1079, 1673, 846, 6669, 1576, 676, 13297, 563, 10527, 17725, 10936, 1705, 711, 1685, 607, 1134, 538, 713, 1353, 607, 649, 1185, 12479, 2223, 1767, 9995, 344, 19958, 267, 8783, 31375, 540, 519, 4693, 693, 10228, 2160, 779, 23514, 1676, 4659, 563, 14071, 3494, 602, 6765, 540, 10074, 547, 519, 9224, 543, 9641, 3788, 513, 9621, 1935, 267, 855, 713, 1353, 5267, 972, 616, 2693, 547, 581, 2591, 538, 1818, 17725, 838, 7590, 513, 6325, 4781, 2223, 1352, 3773, 563, 5591, 3978, 8801, 2621, 610, 3106, 4145, 941, 4080, 1282, 519, 4693, 267, 799, 729, 14102, 676, 8330, 571, 313, 523, 29132, 267, 2687, 547, 519, 3948, 269, 2443, 1234, 26407, 0, 294, 663, 6816, 630, 763, 2012, 607, 621, 1131, 2408, 538, 513, 575, 1794, 8291, 518, 994, 294, 663, 6816, 630, 763, 2012, 607, 621, 1131, 2408, 593, 513, 4786, 994, 2252, 713, 1344, 568, 11234, 267, 5225, 552, 17733, 18078, 17106, 11333, 3820, 454, 8722, 1155, 1826, 281, 6816, 630, 276, 994, 1607, 2012, 24865, 689, 2136, 2276, 540, 3013, 269, 898, 568, 851, 540, 519, 2136, 2276, 30657, 8291, 518, 543, 519, 14662, 2752, 1290, 22683, 30657, 8291, 518, 540, 19778, 563, 301, 1868, 602, 824, 2477, 723, 585, 713, 4183, 912, 296, 576, 2275, 2642, 6532, 267, 476, 274, 11465, 1279, 543, 476, 272, 269, 276, 11465, 2647, 267, 14084, 693, 519, 715, 1439, 540, 7647, 5055, 1068, 19305, 267, 1063, 1323, 951, 543, 645, 4599, 656, 11866, 538, 519, 6022, 1067, 5246, 28396, 269, 5494, 2642, 676, 519, 5617, 326, 20067, 267, 476, 6245, 278, 268, 4200, 267, 543, 3957, 676, 15168, 331, 5995, 1310, 717, 663, 267, 519, 3943, 1106, 540, 717, 5782, 267, 513, 2749, 538, 19934, 1141, 20478, 11479, 941, 4371, 547, 948, 8804, 519, 16939, 563, 5591, 2592, 540, 713, 1747, 1223, 581, 1336, 269, 0, 24916, 1373, 3638, 538, 6171, 645, 267, 17228, 11338, 1331, 31093, 267, 799, 568, 513, 7777, 602, 568, 2556, 585, 8497, 2635, 543, 7059, 1560, 4761, 1062, 543, 7633, 269, 1358, 10123, 2874, 540, 20239, 12950, 338, 267, 799, 616, 2326, 602, 616, 5156, 547, 723, 4550, 2275, 22083, 2164, 269, 1358, 616, 849, 513, 1434, 2707, 540, 3940, 543, 849, 6775, 269, 1358, 616, 4389, 538, 8477, 607, 1134, 607, 8501, 269, 1358, 616, 1767, 547, 948, 7413, 9636, 543, 849, 1489, 519, 1560, 779, 1560, 4761, 1062, 563, 7212, 17228, 666, 581, 2731, 8949, 267, 789, 849, 723, 930, 5906, 2427, 2360, 269, 1280, 1383, 267, 789, 616, 711, 5150, 585, 9176, 8951, 610, 19920, 269, 769, 1840, 267, 789, 666, 9594, 26390, 5209, 267, 2566, 543, 4160, 267, 543, 4250, 269, 769, 8966, 2665, 267, 789, 666, 849, 581, 14603, 269, 1403, 596, 616, 1034, 532, 2693, 547, 8532, 873, 267, 621, 568, 1655, 547, 1413, 585, 4810, 7840, 563, 763, 1250, 4897, 1756, 568, 519, 17343, 685, 1272, 1606, 7739, 532, 3060, 540, 2281, 269, 898, 9428, 16538, 3168, 585, 5567, 543, 1216, 269, 898, 11338, 5728, 525, 11476, 547, 2736, 1524, 5214, 2339, 269, 3733, 4897, 1756, 568, 4092, 538, 519, 13897, 607, 1134, 607, 538, 3574, 269, 898, 12979, 832, 519, 25487, 547, 519, 2666, 543, 568, 3743, 585, 11018, 5567, 563, 763, 575, 1571, 616, 28489, 1957, 6438, 10850, 602, 1711, 17542, 540, 24032, 269, 2368, 17228, 6749, 741, 24032, 689, 519, 575, 1571, 267, 1247, 1866, 5512, 10860, 547, 4163, 873, 269, 634, 10155, 267, 3337, 267, 543, 849, 2681, 540, 519, 575, 1571, 616, 1360, 1271, 10305, 585, 9301, 519, 2249, 563, 763, 1698, 540, 519, 25487, 568, 519, 851, 602, 3091, 519, 13271, 922, 22597, 6438, 5920, 269, 898, 666, 581, 1377, 610, 598, 601, 833, 267, 607, 1134, 607, 519, 2681, 543, 5920, 786, 6157, 4268, 2687, 547, 519, 3942, 540, 519, 25487, 779, 2208, 563, 763, 1728, 874, 2801, 616, 4130, 4839, 4221, 3457, 602, 7755, 7765, 547, 1711, 513, 1357, 6438, 1560, 540, 17343, 269, 3962, 1728, 6495, 25173, 5567, 689, 519, 5790, 543, 849, 15920, 873, 547, 824, 2694, 540, 519, 17343, 269, 1452, 22204, 5555, 1205, 538, 5905, 609, 824, 1728, 874, 2801, 267, 799, 1020, 513, 4839, 4221, 1062, 602, 2882, 936, 3368, 513, 13304, 630, 272, 5998, 264, 547, 519, 1250, 4897, 1756, 3232, 563, 763, 1698, 267, 1728, 874, 2801, 267, 543, 849, 1250, 4897, 1756, 616, 782, 2629, 547, 519, 1646, 543, 849, 13120, 540, 513, 17343, 269, 3962, 851, 568, 1175, 607, 2629, 538, 24569, 519, 1272, 4783, 540, 519, 13271, 269, 634, 1728, 874, 2801, 616, 606, 1271, 3693, 540, 519, 13271, 685, 4390, 547, 3560, 5567, 547, 1585, 824, 2694, 540, 519, 13271, 269, 634, 1728, 874, 2801, 11338, 10110, 5567, 689, 519, 4259, 267, 28498, 519, 17343, 547, 1332, 563, 763, 31736, 568, 1776, 2629, 14487, 540, 519, 17343, 269, 634, 31736, 568, 513, 8546, 6438, 2497, 602, 6770, 827, 519, 1728, 874, 2801, 543, 568, 3335, 4857, 676, 513, 4806, 610, 12094, 269, 634, 31736, 568, 10645, 547, 581, 513, 1390, 16315, 540, 2436, 519, 13271, 568, 17580, 563, 763, 575, 1571, 616, 849, 513, 4105, 14487, 540, 519, 13271, 269, 1358, 616, 1500, 946, 540, 547, 1711, 24032, 543, 849, 5150, 519, 838, 648, 26148, 2627, 1858, 269, 15661, 971, 607, 589, 2006, 7534, 723, 838, 648, 26148, 2281, 538, 741, 575, 1571, 563, 5278, 17228, 723, 513, 1225, 569, 1413, 267, 799, 20674, 10646, 873, 689, 1142, 824, 269, 634, 4622, 23690, 3122, 25487, 814, 513, 5394, 6565, 543, 513, 1507, 1698, 269, 634, 679, 758, 328, 25487, 267, 9053, 538, 8109, 7489, 1426, 267, 814, 513, 1279, 6565, 543, 849, 513, 1507, 1698, 269, 898, 568, 4122, 8246, 607, 513, 12990, 585, 5779, 563, 303, 1506, 339, 12950, 338, 538, 17228, 723, 1044, 3254, 547, 5351, 609, 973, 10967, 566, 689, 4576, 543, 5945, 267, 607, 1134, 607, 930, 1382, 1353, 814, 5227, 602, 789, 666, 5351, 609, 1928, 8323, 269, 1452, 6464, 616, 2219, 547, 849, 535, 754, 1055, 6757, 6878, 269, 1358, 616, 11338, 1634, 547, 723, 4550, 268, 1645, 5222, 563, 1103, 1840, 547, 741, 16392, 5383, 267, 17228, 616, 11338, 1970, 538, 8477, 543, 8501, 607, 1134, 607, 2270, 3875, 8324, 269, 1358, 616, 513, 1434, 2707, 540, 3940, 543, 645, 8324, 267, 799, 616, 2556, 11014, 9716, 269, 1358, 10123, 723, 1898, 6886, 971, 607, 31093, 269, 1452, 6886, 616, 1360, 1271, 585, 9319, 1591, 3441, 543, 849, 24569, 519, 1560, 4761, 1062, 563, 5194, 4324, 540, 17228, 568, 741, 13916, 269, 1358, 616, 4092, 538, 513, 5542, 540, 3029, 543, 849, 4778, 267, 543, 666, 581, 1500, 946, 540, 538, 513, 3099, 540, 8286, 269, 1358, 616, 849, 1390, 585, 7393, 12536, 543, 17516, 519, 2295, 269, 1358, 666, 581, 8329, 547, 707, 5172, 10346, 547, 1039, 513, 2370, 1945, 2027, 563, 26589, 609, 1373, 17580, 267, 17228, 616, 11338, 5363, 585, 519, 4259, 269, 674, 2426, 328, 948, 538, 519, 2736, 1524, 540, 6151, 1570, 538, 519, 1604, 267, 543, 849, 789, 1404, 513, 2565, 1599, 538, 2470, 269, 2368, 9033, 529, 849, 1106, 1250, 14585, 9071, 714, 531, 3347, 609, 2371, 267, 799, 11863, 519, 2371, 547, 1491, 538, 1898, 6886, 689, 519, 13897, 269, 1358, 798, 713, 676, 9658, 1154, 11476, 883, 519, 536, 867, 1359, 2030, 1570, 269, 769, 2490, 267, 519, 2371, 4217, 547, 27653, 909, 1216, 543, 849, 5567, 689, 519, 13271, 563, 2691, 513, 25487, 9428, 267, 621, 3029, 513, 2927, 1746, 1560, 267, 799, 3568, 25487, 5452, 269, 901, 2927, 1746, 1560, 666, 581, 2901, 598, 673, 267, 1377, 267, 610, 5180, 269, 898, 666, 11338, 581, 4988, 609, 513, 1698, 267, 799, 2488, 513, 3106, 2627, 269, 634, 10155, 540, 519, 1698, 9775, 676, 2249, 267, 607, 1134, 607, 621, 666, 723, 513, 3099, 540, 23079, 269, 2368, 17228, 616, 2111, 547, 3142, 24032, 593, 741, 575, 1571, 267, 799, 616, 2370, 267, 6094, 2914, 6817, 3889, 269, 11524, 723, 22405, 267, 799, 616, 5121, 602, 5512, 24032, 547, 581, 6420, 540, 519, 17228, 563, 763, 17539, 540, 513, 25487, 568, 711, 2653, 547, 10146, 269, 1717, 1169, 851, 568, 8449, 4105, 538, 24569, 519, 1272, 4783, 540, 519, 17343, 269, 898, 568, 2877, 585, 519, 13271, 547, 1491, 513, 7362, 267, 543, 621, 1058, 723, 519, 2702, 547, 27653, 909, 543, 849, 10110, 5567, 689, 519, 4478, 2067, 1587, 269, 898, 666, 849, 1711, 24032, 269, 634, 24032, 602, 616, 2813, 666, 1287, 581, 7856, 269, 769, 930, 17228, 267, 519, 24032, 2887, 5196, 15417, 2666, 267, 1141, 789, 666, 17708, 339, 607, 1134, 607, 1711, 6263, 27129, 748, 1728, 874, 2801, 269, 1452, 1728, 874, 2801, 1310, 602, 7755, 7765, 547, 1106, 519, 13271, 779, 2713, 1560, 563, 763, 1728, 874, 2801, 616, 519, 6263, 12673, 540, 27129, 602, 1332, 607, 519, 17343, 7213, 12885, 5567, 689, 519, 3037, 269, 16828, 267, 519, 1728, 874, 2801, 24827, 12840, 543, 1106, 513, 3060, 540, 1250, 4897, 658, 2281, 267, 799, 666, 3382, 1896, 14143, 269, 634, 1250, 4897, 1756, 20674, 547, 19671, 519, 25487, 547, 519, 4541, 267, 543, 621, 20674, 547, 2445, 5567, 585, 519, 2927, 1746, 1560, 269, 1332, 20164, 9059, 17228, 454, 5278, 17228, 723, 575, 1571, 267, 799, 616, 2370, 267, 28489, 267, 1957, 6438, 10850, 602, 8473, 519, 6565, 269, 769, 1082, 2665, 267, 575, 1571, 666, 581, 8032, 899, 513, 17794, 779, 4552, 267, 607, 1134, 607, 789, 723, 13549, 6438, 4522, 593, 741, 2627, 1858, 269, 634, 13613, 3815, 540, 519, 575, 1571, 568, 513, 1883, 4183, 538, 8159, 513, 8677, 269, 0, 1607, 1433, 6212, 593, 519, 2825, 3334, 540, 6940, 267, 1519, 3344, 540, 759, 25703, 543, 519, 2825, 5222, 540, 1480, 7239, 269, 13149, 543, 9341, 4104, 8134, 267, 1426, 3354, 543, 824, 2067, 2200, 267, 607, 1134, 607, 4066, 585, 519, 2825, 1852, 540, 6848, 5222, 616, 8947, 269, 901, 4320, 568, 3818, 16162, 9918, 267, 855, 609, 513, 5812, 1445, 593, 519, 2067, 1604, 269, 901, 476, 273, 31891, 1305, 11828, 513, 2647, 2039, 540, 3584, 7282, 6940, 543, 1480, 3354, 538, 5607, 267, 3226, 3162, 5101, 5607, 269, 634, 1367, 11271, 723, 1044, 8329, 676, 4589, 689, 1585, 4610, 267, 543, 1813, 547, 519, 4560, 540, 519, 1570, 616, 9674, 883, 1079, 21044, 12531, 269, 634, 1305, 3091, 513, 3407, 4199, 585, 4648, 543, 3173, 538, 519, 4683, 4058, 2872, 267, 2022, 6588, 706, 919, 267, 14519, 267, 2229, 8387, 543, 2067, 2200, 9946, 269, 769, 1840, 267, 621, 666, 581, 1031, 538, 6030, 593, 7025, 7177, 267, 11982, 543, 32645, 267, 5398, 8889, 543, 3047, 3163, 269, 0, 763, 12891, 2023, 20698, 3019, 786, 4166, 581, 17468, 896, 513, 1788, 5063, 9250, 676, 519, 12655, 717, 1066, 611, 1149, 5549, 269, 630, 306, 639, 294, 1066, 1916, 299, 11343, 593, 519, 3162, 11076, 540, 5742, 6816, 267, 693, 519, 7013, 1439, 540, 519, 717, 1066, 611, 1149, 267, 519, 20698, 3019, 568, 519, 4102, 15922, 538, 519, 717, 1066, 611, 1149, 267, 519, 4102, 733, 27631, 22600, 17311, 7226, 538, 519, 3148, 543, 835, 540, 519, 2063, 538, 853, 269, 27673, 543, 519, 717, 1066, 611, 1149, 563, 1103, 476, 1960, 275, 267, 519, 12891, 2023, 3057, 2088, 5741, 6069, 547, 4020, 513, 476, 4968, 10874, 628, 2261, 2088, 267, 513, 17075, 1576, 267, 543, 1804, 598, 3256, 514, 1756, 338, 538, 519, 1482, 1858, 855, 729, 14460, 538, 476, 1960, 276, 563, 763, 18848, 3019, 2899, 4371, 4190 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 1142, 4009, 568, 7466, 519, 1858, 540, 519, 1985, 4130, 4009, 6537, 538, 621, 269, 1403, 519, 1858, 540, 519, 10545, 4009, 568, 476, 274, 4009, 17744, 267, 1018, 568, 519, 1858, 540, 519, 4102, 4009, 692, 3451, 269, 12361, 2983, 2210, 2044, 692, 1692, 798, 594, 4194, 713, 286, 2201, 1250, 7084, 621, 3081, 1265, 519, 1858, 3330, 519, 4009, 267, 855, 3544, 519, 5858, 267, 2016, 602, 519, 8953, 540, 519, 5858, 568, 476, 273, 10264, 269, 2422, 476, 274, 269, 1691, 585, 9745, 594, 723, 513, 4605, 540, 513, 4009, 609, 513, 5858, 538, 519, 4009, 267, 609, 513, 3490, 476, 277, 10264, 269, 543, 4463, 476, 277, 10264, 780, 4097, 269, 12361, 4569, 692, 288, 1318, 9764, 20425, 666, 568, 476, 277, 6279, 1164, 2073, 543, 519, 1858, 540, 922, 1283, 568, 476, 3607, 4009, 3597, 4009, 6279, 1547, 1548, 568, 519, 5934, 1297, 540, 4009, 6279, 540, 4070, 1957, 621, 1131, 1491, 547, 3382, 519, 14694, 2627, 540, 713, 666, 26042, 3374, 269, 12361, 9511, 692, 296, 991, 547, 1265, 519, 1858, 540, 519, 26484, 6712, 540, 513, 5858, 609, 513, 4009, 538, 519, 1647, 782, 15174, 15700, 519, 5858, 269, 3733, 4009, 814, 513, 1899, 6482, 540, 476, 1015, 4699, 269, 594, 917, 602, 519, 1858, 540, 519, 4009, 568, 476, 1911, 4699, 263, 1015, 1535, 476, 1015, 1040, 1809, 594, 993, 711, 2386, 1018, 547, 798, 609, 519, 692, 3607, 269, 12361, 13878, 295, 476, 1321, 692, 763, 2698, 2627, 1858, 540, 513, 4009, 2861, 1930, 1283, 14328, 4216, 568, 476, 1321, 4009, 4559, 269, 4855, 519, 7516, 540, 519, 4216, 971, 602, 519, 4320, 568, 519, 5021, 780, 4391, 269, 12361, 7177, 692, 2467, 568, 513, 3337, 602, 814, 513, 1318, 6906, 593, 1283, 540, 513, 4009, 267, 594, 991, 547, 1265, 519, 1858, 540, 519, 3337, 670, 272, 24689, 1923, 1422, 1923, 1422, 1923, 1923, 295, 273, 1923, 13090, 347, 645, 645, 284, 736, 293, 339, 670, 273, 284, 476, 4037, 331, 321, 270, 1111, 670, 272, 284, 476, 5611, 18470, 270, 1111, 594, 3893, 476, 7785, 585, 519, 2698, 1858, 267, 993, 594, 2673, 692, 4343, 269, 12361, 2979, 692, 8340, 519, 1858, 540, 513, 4009, 609, 2427, 589, 950, 513, 568, 3160, 547, 519, 1739, 2418, 269, 3657, 519, 1858, 540, 513, 4009, 543, 519, 3259, 540, 922, 2427, 2047, 14354, 9424, 286, 4208, 610, 1946, 711, 286, 589, 284, 279, 4699, 269, 634, 1858, 540, 519, 4009, 568, 12223, 13090, 4009, 4699, 269, 634, 1858, 540, 519, 4009, 692, 4375, 269, 12361, 8890, 6776, 16387, 692, 288, 4009, 568, 513, 29105, 609, 2185, 3160, 5011, 269, 634, 1858, 540, 513, 4009, 568, 3160, 547, 4009, 540, 922, 5011, 269, 634, 15497, 540, 513, 4009, 568, 513, 1899, 10126, 11836, 1022, 1079, 1875, 8410, 5913, 5737, 2427, 269, 4855, 519, 1858, 540, 513, 4009, 543, 519, 3259, 540, 922, 15497, 4171, 692, 2412, 269, 12361, 10789, 692, 763, 1283, 540, 513, 14328, 3349, 814, 606, 1858, 540, 476, 23470, 4009, 3952, 269, 898, 814, 513, 3259, 602, 568, 476, 273, 3952, 811, 982, 519, 8700, 269, 4855, 519, 7516, 540, 519, 3349, 1283, 780, 6078, 269, 12361, 10789, 692, 763, 1283, 540, 513, 14328, 3349, 814, 606, 1858, 540, 476, 14838, 4009, 3952, 269, 898, 814, 513, 3259, 602, 568, 476, 273, 3952, 811, 982, 519, 8700, 269, 4855, 519, 7516, 540, 519, 3349, 1283, 780, 5655, 269, 12361, 4569, 692, 758, 865, 267, 513, 4009, 568, 476, 280, 269, 274, 9492, 693, 519, 1283, 865, 1018, 568, 519, 1858, 286, 594, 3893, 519, 15943, 543, 621, 568, 476, 4391, 269, 273, 4699, 855, 594, 1175, 18085, 1174, 875, 547, 798, 1858, 543, 1205, 519, 1318, 2626, 692, 6246, 269, 12361, 6482, 692, 8340, 555, 1372, 2698, 2627, 1858, 540, 519, 2121, 540, 513, 4009, 18158, 2016, 602, 519, 3490, 568, 476, 274, 9492, 676, 476, 274, 9492, 543, 1142, 1793, 656, 6316, 568, 476, 276, 9492, 269, 3417, 519, 1166, 2355, 780, 4510, 269, 12361, 9511, 692, 1492, 2121, 540, 513, 4009, 18158, 814, 513, 3490, 540, 476, 274, 9492, 676, 476, 274, 9492, 543, 1142, 1793, 656, 2427, 568, 476, 276, 9492, 269, 3417, 519, 1166, 2355, 269, 4855, 519, 2698, 2627, 1858, 540, 519, 24388, 780, 3393, 269, 12361, 7223, 692, 22704, 540, 513, 4009, 1265, 513, 1135, 2106, 558, 1400, 589, 11583, 264, 602, 4564, 519, 1858, 540, 519, 26484, 3148, 579, 723, 513, 4009, 609, 606, 15561, 15738, 2451, 543, 1318, 693, 1283, 540, 519, 4009, 609, 1535, 7711, 519, 1283, 543, 513, 15561, 909, 543, 1524, 593, 519, 1318, 2427, 540, 519, 4009, 7868, 1948, 274, 593, 519, 1318, 692, 5379, 269, 12361, 4569, 692, 296, 991, 948, 609, 713, 1966, 269, 630, 9617, 4952, 513, 1507, 4009, 609, 476, 276, 343, 268, 272, 693, 519, 1283, 540, 519, 4009, 267, 476, 273, 343, 593, 519, 2451, 2427, 540, 519, 4009, 543, 538, 519, 1318, 1688, 7944, 540, 519, 4009, 972, 568, 513, 4216, 593, 519, 1283, 568, 513, 476, 274, 543, 593, 519, 2451, 2427, 568, 513, 476, 273, 4700, 1411, 723, 547, 4137, 692, 5325, 269, 12361, 2979, 267, 15276, 692, 1721, 713, 835, 875, 798, 1775, 1305, 621, 909, 286, 17692, 5990, 590, 22432, 5508, 589, 590, 12702, 22664, 25758, 667, 4488, 3918, 3008, 3633, 15760, 476, 274, 13967, 267, 5990, 25758, 288, 4959, 667, 4488, 3918, 3008, 3633, 15760, 476, 10037, 13967, 317, 273, 269, 18040, 2969, 654, 16730, 5990, 667, 8379, 2894, 31064, 306, 5508, 5990, 10758, 5456, 2562, 3201, 590, 12702, 22664, 2496, 4366, 269, 12361, 4569, 692, 1432, 568, 519, 1858, 540, 513, 4009, 609, 2427, 13080, 540, 476, 274, 9492, 286, 2422, 519, 4542, 589, 284, 338, 1535, 521, 1772, 713, 2953, 589, 284, 476, 274, 343, 274, 284, 280, 692, 5392, 269, 12361, 16387, 692, 5723, 24427, 568, 513, 4009, 609, 3368, 519, 15943, 540, 4009, 589, 7374, 292, 269, 717, 291, 815, 476, 275, 514, 269, 4855, 519, 1858, 540, 519, 26484, 3148, 269, 7490, 948, 803, 960, 713, 1966, 856, 594, 993, 12758, 269, 898, 781, 513, 4009, 543, 538, 519, 1283, 1318, 7944, 972, 538, 1776, 4009, 3330, 621, 602, 568, 476, 272, 270, 275, 519, 2450, 540, 519, 692, 2004, 269, 12361, 2979, 692, 300, 543, 715, 616, 519, 4571, 9557, 540, 519, 5011, 540, 513, 4009, 269, 1548, 568, 519, 5223, 540, 519, 1858, 540, 6906, 7537, 301, 547, 519, 1858, 540, 519, 2347, 4009, 286, 1809, 519, 2626, 814, 547, 581, 538, 513, 5223, 799, 568, 519, 1858, 540, 513, 6906, 547, 519, 1858, 540, 519, 2347, 4009, 269, 4746, 519, 6906, 692, 7906, 269, 12361, 7223, 270, 4118, 692, 296, 723, 713, 4137, 540, 513, 4009, 30040, 4306, 609, 606, 31164, 6906, 623, 304, 307, 9361, 593, 1283, 540, 519, 4009, 269, 634, 4137, 5654, 899, 513, 2370, 2777, 1862, 3733, 2243, 568, 952, 623, 304, 11224, 476, 277, 4699, 267, 1287, 1018, 568, 519, 1858, 540, 519, 4009, 286, 1684, 594, 991, 547, 1265, 519, 1858, 540, 519, 6906, 547, 692, 7367, 269, 12361, 7223, 692, 604, 513, 1283, 540, 513, 4009, 4216, 814, 606, 1858, 540, 476, 13893, 4009, 6279, 267, 875, 1279, 568, 519, 20968, 333, 2224, 2066, 519, 1283, 540, 519, 4216, 268, 991, 547, 1397, 960, 10484, 7871, 269, 12361, 2979, 692, 1492, 8953, 678, 540, 513, 12106, 568, 2810, 693, 513, 2557, 540, 476, 274, 9492, 26553, 269, 1265, 519, 2557, 540, 1689, 540, 519, 1858, 950, 678, 284, 274, 9492, 692, 7918, 269, 12361, 16387, 692, 2691, 4466, 519, 2627, 1858, 540, 513, 12432, 4137, 267, 799, 538, 713, 2013, 5161, 540, 513, 4009, 18158, 9361, 593, 1283, 540, 513, 13306, 267, 594, 917, 602, 519, 1101, 1900, 568, 547, 1265, 519, 2627, 1858, 540, 519, 13306, 267, 855, 1310, 602, 594, 1131, 1265, 519, 2627, 1858, 540, 519, 4009, 692, 4649, 269, 12361, 4569, 6789, 4338, 692, 12749, 9351, 281, 476, 1724, 4009, 6279, 11192, 17183, 9351, 281, 476, 31798, 4009, 6279, 1548, 568, 519, 700, 8632, 17183, 9351, 540, 519, 476, 276, 21758, 24388, 2496, 6321, 269, 12361, 8212, 630, 29590, 1299, 853, 1778, 2020, 288, 8559, 476, 274, 9492, 538, 8006, 568, 547, 581, 5309, 3481, 856, 540, 513, 5374, 6676, 476, 279, 9492, 5394, 269, 634, 19852, 2566, 540, 519, 1570, 568, 476, 277, 3583, 294, 25508, 269, 1548, 4452, 568, 2838, 593, 519, 24362, 286, 3689, 1265, 519, 1858, 281, 589, 815, 14039, 265, 323, 317, 273, 270, 476, 273, 815, 476, 274, 269, 15221, 277, 2608, 476, 274, 9492, 317, 273, 270, 476, 273, 815, 476, 274, 269, 15221, 277, 2608, 476, 280, 270, 476, 273, 815, 476, 2764, 269, 28638, 275, 270, 476, 273, 815, 476, 278, 269, 6187, 279, 277, 9492, 13262, 25883, 6872, 269, 12361, 4569, 692, 2252, 519, 30494, 540, 513, 1318, 6906, 568, 513, 284, 274, 9492, 267, 865, 589, 284, 3445, 5232, 267, 543, 519, 4009, 540, 519, 2040, 540, 519, 824, 1079, 5011, 568, 476, 1704, 267, 1018, 568, 519, 1858, 540, 519, 6906, 286, 865, 10416, 267, 630, 321, 25239, 8203, 273, 284, 1704, 594, 1589, 596, 616, 9277, 547, 946, 29890, 547, 4194, 621, 855, 594, 1810, 1405, 917, 692, 6812, 269, 12361, 4569, 7223, 692, 2005, 2161, 547, 1265, 519, 1858, 540, 519, 12150, 3337, 543, 621, 781, 513, 10859, 5858, 609, 519, 8006, 540, 476, 276, 543, 513, 4009, 2268, 476, 279, 543, 594, 3893, 519, 1858, 540, 519, 6439, 656, 14410, 799, 568, 476, 2412, 543, 1631, 594, 3893, 547, 1265, 519, 1858, 540, 519, 10859, 5858, 855, 621, 2161, 519, 8953, 585, 519, 4542, 692, 6795, 269, 12361, 4569, 692, 1432, 568, 519, 2627, 1858, 538, 4009, 4559, 286, 1283, 284, 476, 1015, 4009, 4559, 5377, 284, 476, 1015, 4009, 4559, 1318, 284, 476, 275, 4009, 4559, 2451, 284, 476, 275, 4009, 4559, 4395, 284, 476, 1015, 4009, 4559, 1394, 284, 476, 1015, 4009, 4559, 692, 2568, 269, 12361, 4569, 692, 1432, 568, 519, 2627, 1858, 538, 4009, 4559, 286, 1283, 284, 476, 1015, 4009, 4559, 5377, 284, 476, 1015, 4009, 4559, 1318, 284, 476, 275, 4009, 4559, 2451, 284, 476, 275, 4009, 4559, 4395, 284, 476, 1015, 4009, 4559, 1394, 284, 476, 1015, 4009, 4559, 692, 8618, 269, 12361, 4569, 692, 2304, 29275, 568, 547, 2270, 476, 4037, 13483, 6983, 916, 540, 9102, 1858, 269, 1703, 568, 513, 476, 273, 9492, 14345, 693, 519, 5377, 267, 476, 274, 9492, 14345, 538, 1142, 2427, 543, 1100, 14345, 693, 519, 1283, 269, 4855, 519, 7516, 540, 519, 10545, 2009, 16968, 780, 7830, 269, 12361, 476, 277, 628, 3446, 2979, 692, 763, 1858, 540, 1142, 4009, 568, 7466, 519, 1858, 540, 519, 1985, 4130, 4009, 6537, 538, 621, 269, 952, 519, 1858, 540, 519, 10545, 4009, 568, 476, 274, 4009, 524, 916, 269, 1018, 568, 519, 1858, 540, 519, 4102, 4009, 692, 8287, 269, 12361, 4569, 6789, 4338, 692, 12749, 9351, 281, 476, 2918, 4009, 6279, 5440, 32309, 281, 476, 4097, 6279, 27551, 281, 476, 1556, 6279, 1548, 568, 519, 17183, 9351, 540, 519, 476, 1321, 21758, 24388, 2496, 5038, 269, 12361, 11810, 948, 561, 339, 1479, 2243, 692, 22772, 519, 1858, 540, 519, 1036, 514, 22112, 676, 519, 11708, 540, 586, 15871, 343, 317, 273, 284, 273, 343, 284, 274, 543, 586, 284, 274, 269, 1775, 1810, 1405, 991, 948, 6061, 519, 1966, 543, 855, 1775, 993, 513, 2370, 11821, 269, 21453, 519, 3113, 568, 513, 29236, 543, 1775, 16668, 513, 1612, 984, 5055, 609, 586, 284, 476, 274, 269, 1631, 950, 1265, 519, 1858, 267, 993, 594, 4466, 519, 1858, 593, 519, 692, 4792, 269, 12361, 2979, 692, 1607, 568, 513, 6989, 1544, 540, 513, 2679, 602, 568, 476, 279, 332, 7381, 269, 898, 814, 513, 6366, 8122, 269, 1548, 568, 519, 2627, 1858, 540, 519, 2679, 1519, 519, 8122, 269, 634, 6989, 1544, 568, 4358, 689, 519, 2451, 519, 2427, 568, 476, 1240, 332, 519, 5377, 568, 476, 2767, 332, 519, 1318, 2427, 568, 476, 2420, 332, 269, 634, 1283, 5654, 20868, 692, 5780, 269, 12361, 10789, 692, 12749, 540, 519, 13551, 568, 476, 273, 343, 266, 276, 1318, 1688, 2427, 568, 476, 276, 269, 3503, 606, 4082, 585, 519, 1858, 540, 519, 13551, 269, 3973, 1265, 519, 1858, 540, 519, 13551, 538, 4009, 3952, 952, 1535 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5978, 24942, 2657, 454, 4415, 519, 8560, 540, 28910, 543, 1514, 2923, 8034, 8215, 11326, 267, 513, 20468, 676, 28237, 568, 602, 4189, 3270, 949, 1291, 547, 513, 6175, 538, 519, 6981, 540, 930, 1898, 5567, 267, 799, 538, 2490, 5222, 938, 5642, 1072, 269, 2290, 540, 891, 2428, 1801, 267, 1898, 547, 5642, 1072, 267, 568, 7513, 269, 5525, 723, 3254, 602, 1447, 982, 3368, 8241, 2021, 2743, 519, 3232, 5227, 10421, 540, 7513, 563, 2467, 568, 513, 1455, 31605, 602, 14874, 519, 10683, 1426, 1895, 666, 4217, 609, 2597, 2530, 269, 1403, 972, 616, 1100, 2564, 4128, 585, 3257, 865, 267, 519, 4641, 540, 713, 568, 602, 19518, 538, 5567, 971, 607, 7513, 666, 1291, 547, 513, 14207, 538, 5642, 1072, 1312, 1631, 543, 883, 519, 2104, 563, 302, 4614, 18576, 568, 513, 2783, 538, 799, 519, 7633, 1831, 28221, 543, 666, 1291, 547, 606, 2799, 10171, 540, 5642, 18655, 269, 898, 4016, 547, 513, 2530, 540, 5642, 5860, 1141, 972, 814, 1044, 513, 11931, 2530, 540, 7513, 689, 519, 7633, 936, 513, 1279, 1974, 540, 942, 563, 302, 4614, 18576, 5540, 476, 2568, 260, 540, 2021, 936, 519, 2085, 540, 476, 2568, 543, 568, 513, 2101, 1857, 1072, 1966, 563, 299, 11691, 519, 13210, 454, 21848, 1644, 3676, 899, 21404, 666, 581, 14284, 952, 649, 2482, 1434, 13210, 2038, 538, 1272, 543, 3136, 873, 1134, 883, 938, 2663, 1296, 563, 5978, 15730, 1296, 616, 2527, 1947, 1271, 538, 18413, 1524, 7850, 5642, 5860, 602, 786, 4196, 721, 1134, 883, 938, 2663, 1296, 269, 4438, 713, 942, 5642, 568, 16111, 759, 528, 6883, 543, 8108, 269, 634, 2557, 540, 5250, 568, 3152, 982, 759, 26975, 799, 1797, 649, 991, 547, 11694, 713, 1184, 676, 1818, 2386, 7513, 6981, 568, 7850, 563, 10000, 547, 476, 2412, 260, 540, 8445, 5642, 2527, 568, 9788, 1524, 538, 519, 18295, 1296, 865, 621, 779, 4105, 602, 938, 1762, 1004, 1205, 7850, 7513, 543, 6171, 667, 543, 4497, 2933, 538, 2238, 602, 786, 4217, 609, 5642, 2679, 563, 3528, 938, 476, 736, 779, 519, 1560, 814, 6913, 8445, 5642, 2527, 543, 676, 519, 2085, 540, 827, 476, 3374, 649, 7930, 1376, 547, 6336, 5642, 5860, 865, 952, 649, 1810, 1406, 1902, 2038, 630, 20041, 519, 5642, 4871, 264, 649, 786, 581, 2713, 513, 1804, 6712, 540, 938, 2729, 609, 4057, 5642, 5860, 543, 693, 3152, 1981, 540, 3384, 21404, 563, 9773, 6458, 568, 606, 1898, 8770, 269, 898, 779, 1909, 11498, 3564, 5250, 540, 7633, 543, 4522, 269, 898, 568, 849, 1898, 585, 4887, 19432, 543, 824, 10894, 3157, 269, 1403, 7513, 568, 538, 2110, 3761, 585, 891, 3157, 707, 1560, 786, 11198, 7513, 689, 707, 2048, 14752, 4871, 685, 585, 946, 1141, 621, 568, 2877, 563, 9773, 6458, 4170, 616, 5207, 1282, 519, 18295, 1296, 267, 6379, 267, 14915, 908, 543, 11361, 2021, 563, 9773, 6458, 4616, 814, 1044, 3254, 547, 581, 1970, 538, 18295, 6690, 609, 519, 5855, 1373, 602, 2442, 11326, 4043, 547, 9004, 519, 10683, 1426, 1895, 15587, 563, 3080, 540, 519, 3466, 6690, 616, 19234, 609, 568, 968, 4707, 17154, 6100, 2755, 513, 17154, 2732, 666, 581, 513, 1360, 2635, 835, 267, 922, 1271, 547, 917, 875, 547, 12990, 3536, 602, 949, 522, 2466, 1898, 5567, 676, 9319, 1426, 2516, 971, 607, 10683, 563, 303, 27389, 3599, 543, 14915, 566, 454, 9773, 6458, 10338, 4679, 1282, 6379, 865, 972, 568, 1100, 10565, 2333, 538, 519, 10421, 585, 7513, 1282, 713, 942, 563, 18131, 849, 3132, 811, 522, 652, 4088, 1282, 6379, 799, 2337, 2149, 7633, 563, 12179, 5642, 2527, 4503, 1282, 6379, 543, 14915, 566, 568, 2356, 17468, 1369, 519, 3275, 1739, 4332, 610, 649, 22135, 540, 4816, 563, 5804, 827, 476, 3393, 1296, 540, 2085, 5642, 2530, 4679, 547, 476, 272, 1107, 476, 273, 260, 829, 1032, 543, 909, 547, 476, 273, 1107, 476, 275, 260, 693, 519, 12614, 540, 22797, 269, 901, 568, 1813, 547, 519, 6175, 538, 522, 652, 4088, 799, 568, 513, 5642, 8825, 9449, 269, 5403, 2173, 523, 641, 30167, 2021, 4061, 723, 513, 3152, 991, 585, 7513, 563, 272, 1107, 476, 274, 476, 4335, 16936, 27473, 454, 275, 1107, 476, 279, 476, 10384, 8406, 27473, 454, 280, 1107, 476, 1556, 476, 1911, 271, 16936, 269, 1485, 454, 1321, 1107, 476, 1240, 476, 9873, 271, 16936, 27473, 454, 866, 1107, 476, 2004, 476, 1911, 271, 16936, 27473, 454, 18131, 476, 2004, 266, 476, 9873, 271, 16936, 27473, 454, 2005, 568, 5227, 547, 723, 476, 274, 5713, 829, 1554, 540, 3536, 602, 2270, 3362, 12842, 7513, 563, 8489, 547, 1205, 25289, 454, 763, 1655, 2959, 540, 7513, 2097, 689, 10683, 3536, 607, 891, 616, 519, 1034, 3362, 12842, 269, 6153, 2959, 912, 268, 22447, 267, 10381, 543, 15446, 327, 4669, 454, 268, 645, 2158, 540, 3165, 19838, 269, 17646, 2740, 521, 731, 1149, 543, 13687, 563, 268, 5682, 21364, 5388, 19838, 269, 7935, 19233, 267, 536, 758, 669, 1195, 630, 25388, 1632, 689, 891, 2959, 568, 4057, 994, 268, 715, 7491, 267, 5452, 563, 2690, 1346, 945, 616, 26178, 703, 26985, 610, 17154, 972, 616, 10682, 3681, 2139, 538, 519, 1106, 540, 25167, 5144, 8925, 543, 24799, 563, 5278, 2188, 616, 849, 1634, 547, 21391, 7513, 10338, 912, 268, 3536, 1164, 538, 20239, 919, 267, 19838, 269, 24583, 1023, 454, 268, 16639, 5627, 3404, 531, 919, 267, 19838, 22156, 454, 268, 8899, 6171, 667, 454, 268, 4400, 9770, 6981, 454, 268, 15742, 2564, 2175, 543, 6527, 563, 305, 1961, 540, 12192, 667, 630, 9773, 6458, 779, 645, 13697, 26695, 24791, 667, 568, 1898, 585, 519, 2500, 10338, 540, 7513, 689, 519, 1507, 16892, 563, 763, 1292, 1106, 540, 6171, 667, 2501, 689, 7943, 543, 513, 1454, 4130, 6712, 689, 930, 3536, 269, 4495, 8311, 1242, 883, 606, 3742, 1106, 621, 666, 5351, 538, 519, 5250, 540, 5642, 563, 24791, 667, 568, 3226, 1271, 1282, 6379, 543, 538, 2367, 641, 30167, 2021, 269, 4347, 11351, 1282, 6379, 666, 4734, 20169, 9002, 28119, 1813, 547, 3668, 4598, 547, 7943, 538, 519, 2038, 2022, 23196, 1974, 563, 763, 11361, 949, 991, 3063, 6171, 667, 538, 519, 1106, 540, 9360, 547, 5351, 7513, 10338, 543, 2226, 5642, 2527, 602, 666, 14016, 622, 1282, 22797, 563, 291, 2884, 776, 2959, 540, 6171, 667, 1331, 13687, 267, 27966, 267, 5798, 267, 17228, 602, 723, 1044, 6534, 547, 11158, 1769, 543, 3536, 25167, 609, 6171, 667, 19838, 269, 12540, 25978, 563, 305, 1961, 540, 3635, 538, 7303, 21404, 454, 19894, 2168, 2534, 666, 1404, 606, 1271, 1909, 538, 4509, 2635, 7633, 269, 11644, 11851, 338, 2566, 593, 519, 5642, 547, 5352, 1507, 5122, 14768, 799, 12954, 7777, 1436, 540, 5642, 563, 19865, 568, 1271, 693, 782, 5933, 540, 1272, 855, 1382, 814, 3254, 602, 1453, 945, 7119, 538, 2597, 12946, 3635, 602, 568, 5420, 547, 1164, 1764, 723, 2362, 5642, 5860, 3379, 547, 1447, 3742, 1453, 269, 7665, 574, 2358, 5642, 4222, 2038, 538, 1272, 666, 7413, 519, 2360, 540, 5642, 2530, 2663, 538, 1272, 1141, 5826, 1287, 3587, 1271, 563, 2467, 616, 1808, 2010, 540, 3635, 602, 723, 513, 2318, 1198, 593, 5642, 1072, 912, 268, 13379, 12946, 281, 1490, 7416, 6972, 267, 28185, 3101, 267, 19482, 267, 25047, 16246, 267, 14912, 3092, 563, 268, 18650, 2866, 281, 700, 14823, 12035, 602, 616, 24482, 811, 4101, 936, 942, 269, 630, 288, 20624, 779, 2168, 2534, 4808, 4363, 4887, 14304, 2238, 593, 693, 2547, 476, 273, 2395, 1142, 3018, 4700, 3525, 4733, 547, 1164, 1764, 2238, 267, 2523, 2110, 28377, 540, 1164, 8515, 5322, 616, 3810, 6225, 281, 19838, 269, 667, 3496, 267, 14912, 270, 6339, 4252, 267, 17281, 267, 1236, 6235, 563, 268, 7352, 1214, 281, 12056, 538, 513, 3099, 540, 5751, 786, 948, 547, 4161, 7633, 543, 6091, 593, 513, 1114, 1377, 563, 268, 18696, 543, 22994, 1006, 281, 20113, 602, 2087, 3666, 543, 10688, 616, 849, 1271, 607, 789, 666, 948, 2061, 8813, 602, 666, 1291, 547, 18655, 2663, 538, 1272, 563, 2026, 585, 519, 2597, 2530, 3069, 267, 2090, 723, 3254, 602, 10683, 568, 711, 519, 3983, 18560, 269, 2060, 621, 779, 1164, 3940, 1543, 10683, 3536, 666, 1832, 596, 4743, 2407, 518, 585, 3476, 543, 4061, 5329, 519, 544, 4875, 625, 693, 15922, 269, 634, 3940, 849, 2337, 547, 1628, 543, 2226, 4887, 1247, 519, 7513, 666, 948, 2569, 519, 2179, 540, 3170, 12842, 676, 519, 1560, 563, 2467, 568, 865, 1454, 547, 2648, 827, 10683, 3536, 585, 1434, 1072, 269, 1924, 8259, 596, 616, 8572, 547, 8532, 621, 1813, 547, 2564, 4128, 1810, 1406, 581, 12922, 547, 1331, 621, 538, 513, 7059, 2732, 563, 310, 5109, 596, 1390, 1072, 543, 2178, 7633, 2336, 10673, 3534, 568, 513, 8036, 12594, 626, 945, 8255, 543, 22595, 32657, 7257, 2983, 13717, 454, 2252, 596, 1131, 899, 547, 1205, 538, 5905, 609, 5213, 3534, 543, 1265, 856, 811, 827, 1200, 2533, 1107, 1287, 4945, 1934, 454, 5319, 2809, 713, 5816, 286, 8437, 593, 891, 824, 4930, 2854, 676, 5213, 3534, 256, 0, 1103, 3703, 2296, 267, 596, 666, 5815, 602, 1079, 5396, 267, 1919, 610, 3871, 616, 4625, 1114, 676, 6031, 827, 835, 540, 873, 912, 6546, 781, 1776, 11337, 1479, 540, 3165, 454, 6546, 781, 513, 1114, 11337, 1479, 540, 3165, 454, 2005, 666, 581, 1031, 8231, 520, 574, 267, 593, 922, 1378, 267, 538, 1585, 6381, 269, 1403, 267, 585, 1383, 267, 18825, 6770, 909, 513, 1641, 602, 267, 538, 707, 6644, 267, 568, 4986, 547, 798, 609, 519, 4429, 763, 1101, 3364, 602, 3357, 547, 2247, 729, 834, 6546, 781, 513, 2898, 1007, 3440, 3014, 257, 610, 834, 6546, 781, 513, 1114, 3440, 3014, 2580, 855, 602, 6031, 568, 5097, 1031, 585, 3871, 543, 711, 1919, 269, 1306, 10084, 23272, 974, 5018, 267, 713, 568, 811, 1455, 538, 2549, 292, 982, 5696, 292, 269, 1703, 616, 930, 7648, 593, 519, 8360, 1317, 834, 4252, 3014, 257, 814, 2097, 547, 1611, 513, 1533, 540, 12602, 267, 610, 513, 3510, 563, 17764, 267, 596, 1616, 4429, 2252, 649, 616, 4481, 6158, 827, 513, 1920, 4759, 267, 683, 13607, 1143, 568, 513, 1434, 2262, 269, 630, 2005, 1281, 711, 4019, 585, 2828, 267, 2705, 8094, 6312, 1258, 720, 1655, 15735, 610, 3870, 22451, 3254, 593, 519, 4493, 540, 1920, 2078, 267, 607, 538, 1870, 543, 6214, 454, 310, 3480, 11951, 1281, 711, 723, 513, 1463, 6697, 547, 6095, 600, 267, 607, 972, 568, 1100, 10952, 6498, 540, 3536, 607, 972, 568, 538, 25072, 545, 610, 2757, 4457, 4915, 563, 2691, 519, 1523, 568, 12261, 267, 6095, 600, 568, 3622, 12261, 607, 8337, 267, 543, 519, 6587, 607, 9023, 269, 1403, 596, 616, 3843, 547, 8190, 519, 3312, 2796, 543, 3277, 547, 8109, 2035, 540, 8337, 4429, 1103, 9275, 1977, 2296, 596, 723, 602, 781, 513, 2898, 1412, 333, 1278, 1650, 267, 609, 8561, 593, 1412, 3369, 1961, 8339, 901, 1482, 2497, 666, 581, 4294, 547, 930, 540, 519, 824, 4267, 1934, 267, 971, 607, 834, 7474, 781, 513, 2898, 1412, 333, 1278, 3440, 3014, 2668, 6423, 5291, 2517, 13559, 3405, 626, 2593, 270, 639, 720, 21669, 19351, 1961, 5991, 1278, 270, 4586, 1103, 1249, 267, 1210, 713, 2497, 596, 1223, 4440, 1256, 1205, 2476, 609, 513, 21055, 8144, 281, 834, 8117, 602, 781, 4429, 296, 1810, 1405, 917, 945, 5143, 596, 602, 596, 666, 1405, 946, 19804, 696, 8696, 1354, 2929, 269, 631, 8862, 781, 9906, 9218, 4667, 547, 10990, 609, 602, 25195, 912, 636, 696, 8696, 630, 29951, 264, 3875, 855, 711, 6378, 538, 2179, 2433, 19804, 696, 8696, 2929, 1919, 547, 798, 454, 3383, 267, 19016, 1227, 267, 594, 1810, 1405, 1265, 4376, 4636, 609, 707, 8144, 563, 6546, 1767, 267, 19804, 696, 8696, 568, 606, 13016, 2262, 538, 2296, 1107, 4063, 875, 5839, 17524, 534, 4429, 296, 3494, 596, 2811, 3168, 585, 630, 330, 3739, 264, 1079, 5017, 609, 835, 6149, 563, 7343, 30068, 267, 621, 781, 513, 1360, 2025, 2856, 563, 15987, 267, 607, 635, 539, 1014, 5915, 564, 686, 9410, 32625, 912, 2691, 538, 1686, 814, 972, 2479, 1044, 513, 21045, 540, 5017, 543, 513, 17732, 540, 10007, 888, 312, 334, 1609, 1195, 803, 329, 528, 524, 783, 881, 5964, 267, 829, 334, 682, 1019, 518, 517, 1714, 911, 321, 26953, 513, 552, 12848, 11188, 4302, 512, 1329, 324, 17134, 340, 10623, 269, 2443, 594, 993, 811, 11727, 267, 855, 1352, 3893, 519, 2816, 1317, 1352, 814, 4296, 563, 321, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 3662, 4522, 267, 5642, 267, 32356, 543, 21217, 941, 1031, 585, 23732, 269, 1261, 5417, 19843, 543, 610, 23788, 941, 1500, 689, 17207, 269, 4033, 2694, 540, 519, 2831, 941, 1500, 883, 2645, 267, 27022, 267, 11149, 543, 3615, 585, 4948, 1272, 269, 12292, 723, 3177, 6667, 543, 519, 5748, 585, 1454, 540, 13961, 802, 11986, 30060, 543, 2686, 1272, 563, 6524, 519, 7504, 3357, 267, 5243, 269, 634, 5243, 5645, 13907, 593, 741, 1394, 610, 941, 8036, 547, 2721, 513, 968, 339, 9545, 12251, 6100, 634, 911, 341, 12251, 729, 4646, 676, 1079, 1279, 18635, 4171, 4395, 4388, 4780, 3022, 585, 13613, 547, 519, 5243, 685, 17525, 269, 11068, 3118, 1524, 519, 18635, 267, 513, 7406, 729, 7923, 602, 729, 2901, 538, 21117, 1106, 610, 513, 24050, 609, 2121, 1154, 543, 555, 29330, 269, 1677, 713, 513, 476, 2568, 610, 811, 1790, 895, 4452, 729, 7923, 269, 634, 911, 341, 12251, 729, 849, 1031, 547, 4163, 3595, 6229, 282, 17212, 1324, 519, 4807, 540, 713, 2816, 269, 17268, 941, 3957, 2687, 547, 922, 5920, 610, 23339, 2944, 676, 922, 4487, 267, 971, 607, 4414, 1606, 13607, 267, 3171, 1430, 2000, 766, 21307, 8175, 267, 543, 570, 809, 268, 12537, 3620, 529, 6879, 1752, 269, 1284, 849, 8036, 938, 5243, 585, 7703, 22678, 1746, 543, 1166, 5241, 4130, 2831, 856, 540, 15720, 563, 31333, 802, 11986, 630, 14937, 20584, 264, 5678, 454, 31333, 802, 1731, 2967, 685, 335, 578, 1695, 338, 7236, 630, 14937, 20584, 5678, 264, 568, 519, 1893, 540, 519, 13961, 802, 11986, 1080, 527, 777, 328, 563, 1805, 1559, 540, 519, 13961, 802, 11986, 454, 12606, 938, 26496, 543, 1451, 513, 3787, 811, 827, 519, 4563, 20584, 4658, 269, 0, 1607, 1867, 11828, 519, 2956, 540, 2038, 7924, 538, 1931, 547, 5965, 10708, 547, 581, 2852, 543, 4876, 4712, 269, 898, 2829, 602, 7924, 22613, 936, 883, 824, 1641, 2127, 971, 607, 2257, 543, 2979, 543, 1966, 6061, 1983, 538, 1272, 269, 634, 4589, 2303, 602, 16046, 6044, 547, 519, 3395, 1702, 3490, 593, 7924, 543, 1210, 1699, 6364, 1239, 543, 1655, 2853, 666, 948, 8115, 713, 7934, 543, 1291, 547, 811, 5423, 1053, 563, 11742, 1677, 2920, 281, 1323, 3397, 12629, 585, 5917, 3496, 32183, 17402, 585, 5441, 543, 19396, 11773, 454, 7659, 5320, 281, 12474, 9351, 281, 0, 1607, 3296, 568, 689, 519, 1433, 834, 288, 15015, 2986, 11202, 1108, 2580, 676, 717, 3578, 4471, 5062, 3519, 24274, 269, 4746, 2139, 689, 8835, 281, 589, 15015, 2986, 11202, 1108, 563, 290, 4958, 24452, 568, 513, 1360, 2147, 855, 811, 4049, 2783, 4611, 689, 2068, 540, 519, 11178, 1282, 12499, 268, 17458, 710, 1272, 610, 538, 2038, 6689, 267, 2356, 17729, 1282, 519, 1101, 1032, 269, 634, 1126, 1281, 711, 1020, 267, 3788, 513, 21221, 267, 972, 568, 811, 610, 1447, 2347, 2530, 540, 2247, 267, 519, 17534, 616, 1360, 5394, 267, 11469, 1804, 267, 543, 519, 17737, 1360, 20805, 592, 748, 269, 32279, 1896, 2818, 540, 513, 1920, 616, 1336, 547, 581, 7092, 689, 621, 269, 634, 1533, 568, 849, 12212, 6825, 569, 22420, 563, 2252, 519, 11178, 21131, 581, 2799, 267, 972, 949, 1267, 608, 2684, 11209, 6193, 979, 3438, 267, 610, 9122, 578, 781, 2068, 269, 898, 568, 6353, 676, 23822, 618, 540, 519, 11178, 14189, 267, 1612, 2135, 903, 916, 540, 27621, 2787, 540, 519, 2295, 267, 4439, 3101, 540, 519, 4064, 267, 543, 8401, 10761, 269, 769, 713, 519, 7245, 540, 13265, 781, 11178, 4679, 519, 2589, 563, 763, 2078, 1063, 519, 11178, 14189, 543, 2489, 2068, 568, 711, 5693, 6956, 269, 1703, 5526, 547, 581, 3982, 12946, 2390, 519, 8401, 1062, 543, 849, 2390, 519, 10894, 3157, 2921, 1747, 1369, 519, 1560, 269, 634, 3742, 6240, 4667, 547, 581, 834, 628, 8557, 514, 2437, 513, 6219, 602, 3568, 5176, 476, 1015, 829, 1298, 267, 540, 19381, 514, 269, 0, 10932, 7433, 593, 853, 699, 8040, 7151, 1923, 11762, 543, 4270, 3267, 769, 1840, 267, 713, 1557, 1131, 11338, 605, 742, 518, 519, 24117, 585, 1250, 2123, 24235, 607, 547, 2436, 2318, 11475, 616, 607, 5739, 607, 2942, 11475, 269, 9502, 540, 16301, 634, 1977, 11595, 9218, 630, 1220, 271, 264, 5581, 8305, 9189, 607, 834, 320, 6671, 267, 4542, 545, 267, 543, 936, 13678, 680, 1881, 17748, 267, 6644, 267, 610, 3239, 1701, 853, 699, 8040, 540, 28544, 281, 4256, 12186, 593, 519, 2657, 540, 24771, 20661, 634, 3483, 540, 713, 2689, 568, 547, 1459, 4681, 593, 519, 2360, 540, 11475, 540, 10172, 593, 1072, 4093, 1644, 547, 4587, 4079, 267, 971, 607, 2168, 543, 2790, 8647, 630, 14588, 32496, 264, 543, 2949, 1134, 5630, 543, 9228, 2298, 540, 1272, 630, 3467, 17618, 1916, 1805, 699, 19685, 543, 922, 12343, 585, 7292, 12102, 6107, 1923, 14411, 4429, 29638, 11475, 3277, 547, 519, 1915, 5314, 540, 2516, 1759, 593, 741, 2596, 4008, 14487, 607, 5256, 610, 4775, 269, 634, 4008, 2861, 11475, 616, 519, 16866, 20241, 540, 5256, 543, 4775, 2516, 602, 616, 3838, 676, 519, 2146, 267, 513, 2528, 267, 513, 2486, 269, 853, 699, 19685, 4828, 910, 3312, 268, 1074, 14492, 853, 699, 19685, 4828, 645, 3073, 518, 269, 32653, 281, 3503, 513, 476, 4335, 30087, 1557, 827, 3765, 704, 4003, 269, 17564, 540, 519, 5401, 281, 1284, 782, 6560, 609, 11994, 3232, 269, 1703, 723, 1044, 2053, 950, 1866, 723, 32616, 539, 721, 1759, 1152, 593, 519, 9660, 649, 20595, 610, 519, 1259, 649, 14437, 269, 853, 699, 8040, 4828, 910, 4828, 29248, 790, 454, 2252, 606, 1367, 666, 1405, 2463, 519, 2816, 2576, 3116, 568, 3257, 267, 1287, 621, 781, 513, 11029, 1106, 540, 7130, 269, 1284, 616, 782, 519, 1482, 910, 4061, 649, 1058, 1521, 1142, 824, 538, 519, 1482, 1259, 269, 901, 568, 519, 15864, 1259, 547, 4894, 7130, 543, 11475, 538, 519, 9036, 563, 1805, 699, 8040, 616, 1419, 2919, 936, 835, 781, 1272, 942, 998, 891, 7301, 10054, 29596, 609, 519, 1184, 9648, 1016, 4621, 19290, 693, 2053, 269, 853, 699, 19685, 814, 1044, 2944, 1996, 2043, 610, 2516, 540, 1004, 1759, 593, 14940, 267, 2085, 267, 14227, 4567, 267, 4008, 267, 9659, 267, 543, 5198, 563, 13625, 827, 853, 699, 8040, 910, 476, 277, 1626, 9293, 1923, 19258, 548, 2421, 454, 1805, 699, 19685, 1557, 910, 11426, 10749, 1299, 5675, 7896, 2311, 4706, 2507, 853, 699, 19685, 1557, 910, 4129, 1518, 519, 1259, 596, 11883, 609, 707, 6780, 609, 938, 942, 2389, 6479, 3028, 3399, 2324, 593, 707, 12031, 1318, 2476, 609, 1283, 27677, 577, 5583, 4843, 676, 519, 2754, 4855, 856, 2596, 3268, 875, 547, 4309, 513, 17096, 2507, 10749, 6168, 853, 699, 19685, 910, 634, 19630, 2065, 7736, 10749, 6168, 853, 699, 19685, 910, 634, 19630, 2065, 7736, 853, 699, 8040, 910, 519, 2262, 1586, 5526, 547, 723, 606, 796, 3430, 847, 633, 13720, 269, 1284, 616, 865, 1031, 547, 4466, 543, 1210, 1775, 10749, 6168, 853, 699, 19685, 1107, 634, 15474, 1306, 1051, 1107, 642, 520, 1084, 334, 822, 331, 31463, 2507, 1879, 4896, 13789, 593, 713, 1826, 540, 11475, 568, 513, 4625, 1114, 1650, 1467, 267, 540, 1576, 563, 1103, 10390, 267, 853, 699, 9189, 568, 513, 14686, 14049, 4540, 1472, 721, 269, 898, 1419, 9072, 1004, 609, 3309, 5920, 267, 4978, 267, 543, 2623, 267, 799, 3310, 1004, 781, 3664, 269, 898, 1223, 581, 5739, 1510, 1004, 16734, 621, 269, 853, 699, 8040, 1869, 1491, 1747, 2221, 267, 2943, 1004, 3788, 7109, 908, 891, 5615, 267, 621, 1590, 581, 11074, 563, 13625, 593, 853, 699, 19685, 543, 2776, 9080, 823, 1996, 24771, 4658, 4828, 593, 853, 699, 19685, 543, 2776, 9080, 823, 1996, 24771, 4658, 269, 9534, 1063, 1004, 538, 1022, 2486, 267, 538, 1022, 942, 1974, 543, 2197, 616, 711, 2653, 267, 2864, 11684, 543, 10427, 1184, 267, 19890, 711, 27226, 540, 1114, 11475, 543, 2010, 540, 7130, 269, 22731, 10749, 281, 10749, 593, 11475, 609, 5131, 13129, 3817, 256, 10749, 593, 11475, 910, 1557, 593, 3460, 540, 1272, 269, 1403, 596, 723, 2042, 609, 1022, 1826, 540, 4081, 7084, 267, 596, 991, 547, 2995, 721, 519, 4170, 267, 543, 938, 3318, 5856, 786, 2347, 513, 2688, 1557, 2687, 547, 707, 7569, 1369, 519, 1095, 564, 942, 18134, 269, 10374, 4828, 2201, 853, 699, 8040, 910, 588, 559, 690, 345, 582, 514, 9884, 1460, 338, 924, 2593, 634, 5294, 543, 931, 540, 8305, 19685, 269, 4828, 676, 12311, 274, 330, 267, 4400, 3427, 267, 1547, 10374, 2275, 7491, 907, 4828, 593, 1772, 853, 699, 19685, 769, 5271, 3386, 286, 4828, 593, 1772, 853, 699, 19685, 769, 5271, 3386, 286, 476, 15876, 276, 9293, 476, 278, 9664, 269, 8058, 2859, 10371, 1403, 596, 21645, 2907, 917, 267, 513, 8305, 9189, 568, 513, 31633, 602, 568, 2356, 27105, 610, 9065, 269, 10261, 1557, 3732, 593, 834, 1805, 699, 8040, 543, 2776, 9080, 823, 8018, 22172, 10749, 2201, 853, 699, 8040, 910, 4828, 5675, 6435, 2201, 4802, 454, 11577, 19303, 543, 853, 699, 19685, 5131, 10749, 910, 12854, 22967, 2593, 853, 699, 9189, 568, 5219, 547, 6671, 6644, 607, 1022, 2790, 3239, 540, 1514, 1895, 7488, 540, 1367, 3604, 269, 2311, 930, 1448, 267, 8305, 9189, 666, 849, 581, 2938, 538, 2318, 19773, 267, 585, 606, 3236, 519, 8305, 9189, 585, 7489, 4892, 1373, 1434, 538, 519, 2361, 540, 9119, 269, 853, 699, 9189, 568, 3006, 519, 5748, 540, 14882, 269, 853, 699, 9189, 4828, 910, 27842, 1299, 6201, 910, 3883, 11988, 18350, 6153, 8305, 9189, 1557, 3584, 543, 1454, 811, 568, 1336, 1934, 256, 3883, 11988, 24248, 269, 2290, 2115, 547, 1246, 1697, 1557, 3898, 267, 607, 621, 2337, 519, 20485, 543, 1866, 547, 1174, 827, 519, 8226, 540, 8305, 9189, 269, 853, 699, 9189, 568, 899, 513, 6003, 602, 19752, 519, 10182, 543, 10385, 540, 513, 1895, 540, 1004, 609, 2147, 3206, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 2552, 6479, 2876, 1559, 543, 11814, 633, 15350, 281, 2776, 4211, 565, 3518, 1014, 3013, 543, 922, 7736, 1005, 6181, 9313, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 1950, 2078, 1063, 3140, 3965, 267, 2686, 3961, 267, 543, 519, 6214, 540, 862, 655, 2610, 676, 6313, 840, 4211, 565, 3518, 1014, 12977, 543, 741, 11972, 23543, 538, 4207, 7239, 269, 1284, 786, 2263, 875, 1114, 2516, 723, 9112, 6386, 827, 519, 3504, 2250, 267, 10771, 1978, 3344, 1247, 3623, 9760, 1866, 267, 543, 875, 891, 6386, 3337, 7104, 9163, 543, 1217, 1459, 6377, 9840, 269, 1635, 7421, 29653, 12583, 998, 2013, 2090, 6537, 689, 1585, 4525, 538, 519, 17113, 267, 649, 2832, 547, 6536, 2565, 3206, 1983, 2556, 547, 6330, 2221, 779, 5051, 8701, 1242, 5717, 1472, 6561, 267, 18541, 267, 543, 1514, 5126, 780, 272, 269, 4985, 281, 1733, 846, 12815, 25198, 2496, 23208, 8823, 616, 5714, 543, 544, 4150, 762, 21437, 8032, 676, 1379, 6384, 267, 20748, 9620, 267, 543, 6848, 2242, 269, 1306, 971, 267, 1018, 4991, 15422, 543, 16618, 1419, 9356, 17888, 8456, 2509, 5198, 267, 4008, 267, 1362, 267, 543, 824, 12508, 540, 3017, 269, 901, 3296, 12857, 1883, 2035, 1644, 547, 3140, 3965, 267, 7104, 3961, 267, 543, 519, 6214, 540, 862, 655, 2610, 267, 3246, 513, 7811, 5943, 585, 3695, 840, 4211, 565, 3518, 1014, 12977, 543, 741, 5571, 3310, 538, 2413, 2053, 780, 273, 269, 8865, 5530, 476, 272, 1107, 15609, 19088, 14708, 281, 3245, 10552, 628, 1009, 344, 14205, 1137, 547, 32201, 3212, 553, 1218, 692, 2690, 5553, 267, 2442, 11994, 540, 519, 15609, 10340, 14251, 730, 1063, 1079, 26037, 281, 10795, 5260, 698, 2044, 630, 324, 3052, 1421, 9253, 18582, 5459, 781, 7442, 30575, 696, 334, 264, 543, 7329, 22690, 545, 10103, 609, 2470, 630, 6124, 6520, 12496, 1040, 1717, 267, 9444, 8305, 9189, 19306, 519, 6988, 540, 713, 7524, 2528, 602, 4278, 1882, 2066, 12379, 334, 15330, 3821, 585, 5176, 1079, 27453, 269, 769, 713, 9074, 267, 649, 4983, 875, 12721, 6386, 827, 519, 15609, 7153, 267, 7960, 267, 543, 12969, 539, 609, 6626, 23786, 989, 31789, 267, 3226, 1282, 8090, 540, 15398, 8082, 1063, 6805, 2950, 543, 1533, 8128, 269, 4841, 786, 5659, 3119, 2959, 267, 1519, 7810, 13798, 1182, 267, 2951, 518, 6589, 267, 543, 2413, 14046, 1568, 267, 547, 1174, 519, 2188, 7700, 547, 519, 4070, 543, 632, 18586, 540, 15609, 7242, 3098, 780, 274, 269, 8865, 5530, 476, 273, 1107, 25069, 322, 5274, 15762, 337, 12715, 281, 681, 3770, 610, 2311, 10635, 640, 2496, 763, 3239, 540, 2295, 10868, 543, 1232, 777, 2787, 12738, 1851, 519, 25069, 14369, 814, 1044, 1031, 1312, 547, 17854, 5053, 21037, 543, 547, 8661, 5065, 4187, 1996, 3864, 15746, 269, 8616, 267, 519, 4641, 3788, 2484, 811, 13857, 982, 2901, 7664, 5267, 269, 14301, 2390, 15456, 2963, 267, 17801, 2129, 626, 7595, 6054, 267, 543, 10236, 1670, 6436, 267, 713, 3296, 28807, 519, 1950, 10096, 3297, 25069, 322, 1480, 15093, 267, 11744, 875, 5380, 6521, 4470, 593, 835, 781, 642, 656, 720, 1448, 1369, 3677, 1914, 19205, 8658, 269, 5015, 267, 649, 1865, 519, 6286, 540, 891, 13346, 6386, 585, 4207, 11204, 2486, 267, 2523, 3823, 6805, 2924, 267, 3909, 5191, 267, 543, 3084, 3961, 780, 275, 269, 8865, 5530, 476, 274, 1107, 631, 895, 28265, 619, 543, 31790, 1275, 281, 8210, 5501, 543, 1234, 17474, 540, 3345, 3013, 781, 3689, 4975, 12706, 619, 692, 16524, 31083, 611, 15735, 676, 741, 13413, 538, 6792, 543, 6239, 3013, 267, 519, 631, 895, 28265, 518, 4529, 540, 3345, 3013, 27137, 607, 595, 1695, 758, 807, 267, 14929, 1168, 749, 267, 543, 1520, 6511, 1765, 17647, 1152, 5063, 6591, 6284, 607, 10427, 4683, 7239, 5827, 540, 4702, 26832, 6189, 267, 3384, 4359, 6694, 1949, 267, 543, 2502, 538, 1279, 26591, 4123, 5121, 269, 6736, 713, 3395, 4656, 267, 20887, 4478, 891, 2038, 2749, 26767, 3136, 547, 28511, 1813, 547, 29886, 28639, 543, 2144, 9778, 689, 8789, 3140, 27964, 269, 3414, 2673, 6514, 540, 18840, 1670, 1239, 267, 11265, 2079, 267, 543, 13354, 1353, 540, 7111, 1977, 5711, 5389, 267, 713, 9074, 32514, 919, 519, 3638, 13795, 540, 3345, 3013, 781, 1101, 4872, 543, 15109, 519, 29298, 540, 741, 2699, 18752, 585, 8938, 23867, 2540, 7391, 827, 4763, 267, 10014, 267, 543, 1617, 643, 5914, 6561, 780, 276, 269, 10390, 281, 19484, 12474, 1190, 623, 6814, 27870, 32213, 28358, 999, 692, 2026, 7152, 2429, 713, 1770, 267, 3140, 8823, 616, 2760, 6378, 610, 1799, 17014, 282, 3079, 267, 789, 11457, 2687, 547, 4657, 6848, 2115, 543, 14422, 269, 4475, 267, 9691, 2502, 609, 29653, 12583, 3587, 1898, 585, 5807, 5483, 5188, 267, 4101, 30566, 545, 6386, 267, 543, 5009, 12581, 6041, 538, 1857, 5624, 269, 1635, 10452, 593, 4245, 4121, 689, 840, 4211, 565, 3518, 1014, 12977, 267, 1053, 786, 11349, 4483, 571, 1076, 1983, 2556, 547, 20920, 609, 5571, 9840, 7282, 18189, 1436, 267, 1065, 27074, 566, 267, 543, 28160, 1436, 3646, 5001, 269, 11086, 267, 713, 1770, 6663, 547, 8300, 7279, 267, 6568, 267, 543, 2463, 585, 3309, 5380, 607, 7533, 3334, 540, 3743, 15114, 543, 5683, 14172, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 11293, 2084, 3778, 1772, 589, 11192, 9107, 28673, 563, 303, 4958, 754, 782, 596, 1616, 267, 855, 519, 1977, 6406, 2782, 5949, 269, 634, 5853, 619, 941, 6519, 2367, 269, 3776, 2797, 6138, 454, 529, 11566, 569, 5375, 269, 30385, 316, 1358, 666, 1405, 3833, 1689, 1686, 267, 865, 789, 1522, 607, 1134, 6861, 621, 269, 1656, 22293, 540, 454, 1492, 2250, 5956, 609, 519, 9552, 540, 1857, 10525, 540, 938, 1686, 269, 6465, 1132, 267, 4408, 540, 5656, 543, 3906, 3248, 16269, 782, 3095, 721, 547, 938, 2250, 267, 530, 11301, 543, 782, 269, 1684, 891, 818, 5766, 656, 3673, 1235, 2731, 3494, 602, 20375, 6131, 547, 519, 454, 18183, 539, 4733, 2014, 2731, 1350, 528, 1518, 8474, 286, 1403, 865, 267, 789, 616, 546, 3784, 982, 789, 1413, 267, 543, 602, 568, 23666, 1947, 29749, 563, 1432, 891, 6698, 540, 938, 1686, 798, 568, 8956, 519, 24279, 540, 1346, 945, 10692, 543, 5747, 585, 519, 28583, 2329, 267, 1317, 789, 454, 9188, 2925, 547, 581, 28165, 543, 15422, 267, 711, 585, 741, 8878, 540, 8474, 267, 855, 585, 741, 4339, 585, 2829, 2924, 543, 13190, 454, 5228, 513, 3844, 2229, 269, 1656, 1034, 540, 782, 585, 741, 8878, 540, 741, 5321, 543, 2829, 543, 513, 1259, 540, 1272, 563, 305, 2313, 547, 20121, 5797, 519, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 8466, 1315, 9147, 1315, 2776, 4211, 565, 3518, 1014, 17113, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 21026, 4000, 781, 5755, 14425, 616, 6059, 693, 476, 7871, 5479, 19726, 267, 543, 609, 938, 1459, 2504, 2557, 972, 1058, 581, 3592, 476, 1220, 1296, 540, 5755, 3761, 2451, 269, 21277, 1424, 5201, 689, 5755, 6238, 950, 519, 5755, 568, 5102, 591, 2213, 538, 5458, 14200, 883, 513, 5386, 8869, 1354, 621, 568, 27762, 883, 5458, 737, 9116, 956, 267, 1572, 26925, 563, 3891, 729, 4535, 538, 966, 699, 523, 580, 532, 267, 3162, 4000, 543, 5747, 972, 269, 3267, 15021, 568, 24776, 538, 1715, 31069, 267, 1715, 3162, 12986, 269, 634, 1101, 5755, 729, 4362, 1394, 538, 476, 9692, 272, 676, 513, 1895, 540, 20903, 9101, 525, 269, 1280, 6654, 4429, 13202, 476, 1789, 267, 476, 1001, 278, 6440, 3162, 4000, 568, 835, 540, 519, 1034, 7777, 268, 543, 4199, 11656, 2477, 538, 519, 1158, 267, 543, 5599, 21113, 616, 476, 2568, 2600, 540, 519, 2197, 781, 18666, 269, 634, 28595, 538, 20161, 5777, 936, 519, 2250, 1906, 1296, 814, 1044, 513, 2101, 9514, 547, 519, 3162, 3979, 4346, 267, 609, 519, 3747, 585, 1082, 540, 519, 7777, 2200, 530, 22135, 18368, 563, 10870, 531, 12074, 540, 3162, 4000, 910, 519, 2104, 540, 5755, 5599, 538, 3162, 4000, 476, 276, 8431, 269, 274, 269, 3162, 2455, 553, 1763, 12883, 676, 3213, 2788, 3658, 263, 6347, 25115, 12752, 476, 6187, 270, 5881, 264, 12752, 543, 519, 8892, 540, 5755, 5599, 3162, 4000, 729, 3710, 593, 5599, 543, 621, 3788, 519, 2518, 8998, 585, 519, 2872, 2676, 26536, 531, 15021, 781, 8143, 5755, 3785, 616, 4092, 538, 3162, 4000, 781, 631, 335, 636, 531, 18553, 11662, 1107, 513, 3148, 12926, 3638, 538, 5755, 269, 1280, 713, 2601, 621, 814, 13631, 1082, 1804, 5599, 3549, 547, 3715, 15183, 538, 713, 1858, 269, 476, 10695, 4939, 540, 519, 2698, 2179, 540, 5755, 3812, 538, 3162, 4000, 568, 24776, 538, 631, 335, 636, 531, 18553, 563, 21026, 4000, 568, 519, 11359, 4102, 2182, 5755, 16073, 538, 519, 1158, 543, 513, 2101, 1163, 7163, 540, 5755, 883, 519, 1158, 2344, 269, 898, 568, 849, 8185, 8200, 593, 5755, 585, 1379, 5108, 543, 568, 17935, 547, 6385, 4228, 922, 5755, 2861, 5108, 4390, 269, 898, 568, 849, 513, 2101, 1163, 7163, 540, 1379, 547, 20848, 538, 15231, 2477, 543, 2047, 547, 930, 2101, 1367, 5561, 538, 20787, 3711, 1664, 543, 21601, 28992, 563, 21026, 4000, 568, 835, 540, 519, 5763, 5006, 2477, 538, 2474, 540, 2067, 2200, 269, 898, 568, 513, 3056, 5599, 2197, 543, 621, 568, 12021, 585, 922, 7777, 2200, 267, 799, 1118, 909, 513, 1804, 6712, 540, 519, 4429, 5522, 11294, 636, 15183, 538, 3162, 4000, 269, 634, 1101, 31091, 8356, 1375, 1115, 941, 4362, 538, 3162, 4000, 538, 476, 4572, 275, 543, 2221, 267, 31091, 5599, 538, 3162, 4000, 6589, 585, 827, 476, 3199, 260, 540, 519, 1158, 781, 2698, 7727, 267, 1247, 922, 23080, 18123, 4564, 1472, 476, 2412, 260, 540, 519, 1158, 781, 14407, 2504, 563, 763, 14470, 2754, 808, 14684, 17566, 4566, 547, 9553, 5755, 538, 2098, 636, 2692, 8664, 267, 538, 519, 7262, 20787, 3711, 4618, 11662, 540, 570, 23176, 267, 2687, 547, 513, 1867, 593, 15571, 20787, 3711, 1664, 269, 1323, 6693, 298, 11445, 313, 21343, 9539, 7614, 5755, 568, 1419, 16320, 2350, 12792, 543, 616, 1336, 538, 5266, 6094, 694, 4461, 269, 634, 9156, 762, 5755, 14425, 538, 3162, 4000, 2179, 547, 930, 476, 5780, 269, 278, 5479, 9748, 267, 6697, 547, 6693, 10870, 531, 5599, 781, 4417, 538, 3162, 4000, 666, 1655, 581, 14360, 547, 519, 1376, 540, 4154, 5599, 538, 519, 3735, 476, 866, 555, 2540, 267, 3226, 593, 519, 31864, 31662, 8681, 267, 609, 519, 1101, 5755, 538, 3507, 762, 9522, 333, 1137, 1373, 13939, 593, 519, 4400, 557, 671, 5755, 2361, 2673, 547, 519, 13439, 1417, 31864, 31662, 8681, 4154, 15183, 269, 1717, 267, 3747, 3459, 547, 1332, 267, 7444, 693, 1101, 855, 1287, 4429, 10870, 531, 14086, 538, 3162, 4000, 269, 3162, 4000, 568, 835, 540, 519, 1283, 2947, 5755, 13143, 532, 2477, 538, 519, 1158, 269, 2859, 982, 513, 10116, 540, 519, 5755, 24776, 538, 3162, 4000, 568, 29633, 543, 621, 568, 519, 2197, 781, 3791, 4102, 2707, 540, 4914, 4747, 269, 1306, 538, 476, 1220, 275, 519, 5755, 543, 31429, 924, 2872, 540, 3162, 4000, 3177, 936, 476, 2004, 267, 1822, 6009, 543, 6383, 5176, 681, 2412, 4429, 15290, 729, 5755, 4362, 538, 5045, 21562, 910, 1236, 978, 12952, 23357, 950, 729, 5755, 4362, 538, 5045, 21562, 910, 15678, 330, 1415, 664, 269, 3057, 476, 1240, 267, 476, 1001, 272, 898, 729, 519, 1360, 1101, 5755, 16005, 2479, 4362, 538, 3162, 4000, 543, 621, 729, 24776, 689, 519, 3267, 3367, 2859, 269, 4197, 24542, 910, 10507, 330, 558, 563, 763, 1686, 540, 5755, 5599, 538, 3162, 4000, 568, 5702, 5532, 609, 519, 2804, 1646, 540, 519, 2197, 269, 20497, 5755, 5599, 862, 10642, 538, 519, 9456, 15729, 2282, 20703, 1084, 334, 538, 476, 5908, 275, 269, 634, 6602, 540, 19987, 538, 519, 3735, 476, 6942, 271, 338, 3366, 547, 7269, 540, 519, 15183, 538, 1931, 547, 2743, 519, 3395, 3747, 585, 5755, 563, 299, 17999, 5295, 853, 725, 538, 3162, 4000, 269, 7177, 1315, 2233, 6874, 3663, 282, 3267, 634, 6554, 543, 17721, 9922, 5665, 1379, 2371, 1034, 540, 873, 616, 676, 15021, 30187, 269, 2311, 476, 275, 267, 8517, 24448, 267, 5755, 30187, 918, 639, 850, 5295, 13749, 267, 568, 519, 4102, 1379, 6728, 538, 3162, 4000, 267, 4092, 538, 631, 335, 636, 531, 18553, 563, 21026, 4000, 781, 4620, 10635, 8707, 338, 2872, 3323, 538, 519, 476, 4198, 271, 338, 267, 950, 519, 1101, 5755, 3562, 2000, 1172, 1749, 630, 6311, 299, 264, 2030, 729, 3710, 693, 3276, 326, 269, 898, 729, 711, 2394, 811, 5063, 267, 2705, 267, 602, 513, 6464, 2872, 1759, 593, 2199, 6151, 2326, 2864, 982, 16865, 3049, 560, 4169, 2968, 2009, 269, 901, 7580, 634, 11906, 338, 12752, 538, 3162, 4000, 454, 21026, 4000, 910, 3162, 4000, 910, 634, 11635, 6520, 281, 5221, 519, 1101, 6705, 1185, 1702, 540, 4401, 11529, 267, 741, 15456, 4609, 616, 6353, 607, 11635, 6520, 630, 322, 269, 476, 1220, 2781, 1040, 1715, 2516, 540, 1004, 21945, 538, 3162, 4000, 693, 602, 942, 1185, 2178, 4296, 547, 5101, 4000, 269, 1358, 941, 2047, 18577, 547, 519, 645, 656, 340, 18702, 9082, 945, 1106, 519, 5354, 540, 3162, 4000, 781, 2551, 2221, 269, 0, 24552, 7404, 25581, 8231, 454, 27670, 540, 25581, 8231, 454, 23873, 9218, 8847, 585, 25581, 8231, 454, 290, 11857, 8847, 585, 25581, 8231, 454, 288, 968, 3559, 4771, 892, 8231, 602, 1110, 5809, 519, 1292, 8231, 267, 607, 538, 968, 294, 841, 666, 3094, 2223, 968, 294, 841, 1705, 3094, 2223, 968, 294, 841, 1223, 723, 4465, 1848, 589, 2243, 1419, 5956, 609, 606, 25581, 8231, 281, 968, 12441, 717, 841, 3094, 9495, 968, 27745, 717, 841, 6336, 9495, 634, 1585, 3029, 540, 519, 13450, 666, 267, 723, 267, 568, 267, 543, 1281, 4749, 957, 607, 18559, 8270, 2456, 269, 0, 2252, 596, 1374, 707, 12550, 547, 960, 609, 513, 2039, 5542, 267, 519, 12550, 1590, 581, 2111, 547, 3313, 2436, 513, 2039, 568, 2965, 5697, 269, 1403, 1945, 824, 982, 513, 2039, 568, 5697, 630, 7945, 607, 513, 5750, 610, 513, 3337, 1070, 519, 12550, 786, 4440, 10514, 269, 634, 1739, 5650, 3096, 519, 966, 10621, 7392, 11243, 1599, 547, 2697, 519, 1826, 540, 1843, 602, 568, 4867, 5697, 912, 16039, 326, 26213, 7392, 11243, 263, 5353, 3005, 264, 7736, 4427, 454, 2252, 513, 16186, 1843, 568, 5697, 267, 519, 15516, 326, 26213, 10525, 16186, 269, 1403, 707, 12550, 1568, 1152, 609, 9832, 267, 596, 666, 946, 606, 1403, 3948, 547, 2327, 602, 513, 2039, 568, 5697, 269, 901, 1383, 10525, 513, 5048, 543, 608, 1080, 519, 5650, 952, 519, 1699, 5542, 568, 711, 513, 16186, 1843, 912, 2252, 7392, 11243, 263, 5353, 3005, 264, 2999, 285, 834, 305, 1052, 257, 3973, 15516, 326, 26213, 834, 15675, 513, 2039, 1701, 1401, 527, 4427, 7736, 1403, 454, 24078, 713, 2376, 5363, 286, 0, 2710, 2758, 4030, 593, 912, 289, 4315, 15443, 5866, 10791, 454, 290, 663, 5866, 11549, 15092, 281, 2368, 1745, 602, 1164, 4006, 6980, 3895, 15443, 5866, 19186, 15092, 2208, 269, 901, 1797, 26265, 899, 25394, 267, 12897, 267, 17711, 267, 9268, 3694, 338, 267, 3092, 269, 4635, 2898, 10286, 7912, 949, 948, 513, 2370, 609, 713, 1317, 519, 4006, 1131, 581, 9447, 513, 2370, 811, 7444, 547, 707, 1062, 267, 855, 621, 568, 1869, 4006, 269, 4400, 4006, 5613, 630, 18090, 20625, 267, 13099, 11535, 267, 3092, 264, 1522, 581, 2938, 713, 1259, 849, 269, 3267, 5649, 811, 454, 10915, 619, 547, 782, 519, 2168, 2339, 3425, 630, 3697, 782, 2713, 7068, 264, 1590, 1491, 538, 593, 513, 18596, 4493, 282, 1152, 13148, 585, 1648, 269, 6145, 782, 1272, 593, 4541, 3425, 616, 1930, 1949, 799, 1832, 751, 2130, 1524, 741, 2497, 1299, 2154, 6981, 540, 8444, 8276, 26163, 689, 799, 547, 25580, 741, 2497, 269, 2271, 13656, 16298, 2281, 8719, 9625, 22336, 476, 274, 2395, 269, 6970, 17269, 275, 538, 7633, 9625, 22336, 476, 277, 1296, 267, 3267, 5649, 811, 454, 25911, 766, 519, 2732, 281, 589, 14915, 334, 268, 557, 1146, 814, 1082, 5079, 585, 3536, 269, 589, 1434, 6484, 1433, 610, 513, 3643, 547, 513, 1019, 2045, 1014, 666, 948, 1106, 513, 7059, 2732, 269, 14856, 513, 2462, 3099, 540, 3536, 2337, 2061, 8770, 19518, 269, 4746, 267, 835, 666, 1491, 513, 3232, 1617, 643, 9559, 266, 2381, 1968, 16979, 269, 8899, 325, 520, 610, 1875, 325, 520, 10683, 2472, 723, 7899, 540, 3940, 269, 2290, 666, 4444, 2067, 267, 15347, 6954, 3536, 543, 3434, 873, 1510, 4946, 6070, 267, 4006, 267, 3282, 267, 6862, 16693, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 27028, 5193, 569, 711, 281, 769, 1249, 267, 621, 568, 711, 693, 782, 1978, 602, 972, 568, 1022, 4324, 689, 3165, 3282, 585, 4376, 269, 769, 7330, 621, 814, 1044, 14460, 607, 24631, 676, 519, 1655, 26455, 4966, 269, 898, 814, 849, 1044, 7074, 547, 2014, 17150, 2860, 269, 898, 568, 3020, 602, 621, 24506, 27831, 1938, 543, 12651, 31613, 855, 621, 814, 711, 22485, 519, 1981, 585, 18116, 610, 2295, 6285, 269, 3143, 4324, 814, 1044, 7152, 4849, 547, 1346, 945, 6133, 621, 269, 3267, 5649, 811, 454, 31800, 770, 11959, 281, 3962, 1826, 540, 13803, 568, 2965, 513, 1114, 11248, 267, 865, 596, 1223, 581, 13027, 547, 835, 543, 711, 8209, 13027, 547, 782, 269, 1717, 267, 1004, 945, 616, 13027, 547, 1786, 4546, 781, 13803, 666, 581, 13027, 547, 536, 6033, 781, 13803, 607, 1134, 269, 1323, 6784, 626, 666, 2960, 1449, 596, 547, 1786, 4546, 781, 13803, 267, 536, 6033, 781, 13803, 543, 4796, 5866, 267, 607, 1134, 607, 3875, 824, 16507, 23480, 269, 3267, 5649, 811, 454, 28536, 2216, 530, 270, 4796, 5866, 1612, 2355, 559, 2670, 855, 1185, 620, 21544, 5114, 547, 1199, 269, 2052, 1775, 1521, 621, 609, 13803, 1299, 4006, 1863, 2732, 1482, 607, 524, 269, 2704, 321, 15092, 888, 4692, 596, 3548, 1402, 25468, 593, 513, 15443, 5866, 2732, 286, 296, 6415, 593, 519, 2732, 536, 11305, 594, 4312, 1185, 513, 13803, 3968, 585, 476, 274, 1395, 267, 666, 1405, 1491, 2770, 935, 31152, 267, 1299, 6836, 1212, 4461, 1299, 536, 7595, 3679, 563, 290, 663, 5866, 2732, 281, 4144, 1115, 602, 616, 1970, 538, 4006, 543, 11950, 855, 1164, 538, 6151, 13342, 543, 22763, 666, 948, 1832, 13803, 5563, 693, 15922, 269, 4173, 4472, 9360, 971, 607, 623, 879, 667, 262, 6635, 1723, 630, 339, 3307, 675, 610, 23555, 1106, 264, 610, 519, 15443, 5866, 4211, 14211, 572, 676, 3752, 320, 305, 599, 949, 581, 5363, 269, 7377, 25468, 1281, 15059, 547, 513, 2241, 19346, 855, 2949, 568, 5266, 1970, 538, 4006, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 2005, 1223, 581, 835, 281, 16748, 547, 4217, 609, 4227, 4411, 21399, 269, 4236, 6005, 4195, 5214, 5388, 609, 5613, 666, 581, 11212, 2635, 269, 769, 1840, 11547, 3946, 1419, 269, 19321, 513, 1072, 995, 6197, 630, 10585, 3635, 267, 7850, 3207, 267, 5329, 2566, 693, 15922, 1040, 5901, 17534, 1134, 5848, 28962, 6902, 4019, 3141, 5496, 547, 519, 2127, 602, 707, 4411, 21399, 7363, 1402, 909, 269, 13185, 609, 707, 10629, 827, 7110, 532, 609, 30897, 710, 269, 3267, 5649, 811, 454, 12640 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 966, 528, 984, 344, 990, 1696, 620, 269, 630, 1001, 274, 321, 264, 543, 568, 13713, 12649, 2630, 585, 519, 5467, 779, 13418, 269, 1284, 1376, 938, 10230, 13502, 689, 519, 14965, 12900, 540, 513, 5182, 1652, 6531, 4295, 24760, 883, 513, 1970, 29213, 5007, 1604, 267, 3136, 883, 519, 11251, 5123, 540, 5182, 5250, 267, 1282, 799, 513, 5182, 267, 12210, 267, 543, 23508, 616, 4646, 267, 543, 2165, 3729, 938, 13502, 1310, 5111, 476, 271, 269, 276, 3733, 337, 540, 12210, 4720, 269, 634, 1486, 739, 15362, 12210, 26328, 519, 6418, 851, 540, 519, 10230, 8701, 7470, 543, 568, 6534, 547, 7920, 2527, 15205, 689, 519, 1102, 16226, 23508, 543, 5007, 1604, 563, 2414, 2057, 1932, 1507, 942, 3268, 267, 649, 6338, 513, 968, 338, 1074, 1591, 892, 693, 22847, 543, 20818, 513, 1863, 1102, 869, 6418, 10465, 2783, 543, 513, 1863, 856, 6503, 9018, 10465, 2783, 865, 602, 602, 519, 2339, 568, 4847, 547, 2095, 856, 540, 519, 12985, 6389, 855, 568, 15286, 689, 13576, 538, 269, 634, 16173, 1591, 568, 29858, 29680, 282, 621, 8309, 1152, 547, 519, 2698, 14965, 1761, 543, 3813, 999, 513, 5347, 7180, 540, 519, 8904, 3196, 1524, 547, 519, 24974, 2627, 269, 4438, 519, 2038, 5933, 540, 519, 4295, 12900, 267, 649, 6895, 519, 3154, 2627, 5860, 538, 519, 16173, 1591, 543, 950, 922, 1871, 20489, 513, 2565, 1871, 585, 519, 5912, 689, 568, 18540, 547, 740, 328, 629, 1738, 4720, 267, 649, 6338, 513, 3844, 1448, 2173, 817, 1843, 269, 769, 519, 7766, 4720, 267, 476, 3445, 260, 540, 519, 3154, 602, 22613, 519, 6418, 10465, 568, 10924, 547, 2244, 593, 519, 3844, 1843, 269, 634, 824, 476, 1015, 260, 540, 519, 934, 516, 1540, 3154, 568, 10924, 547, 581, 5645, 2476, 609, 1486, 739, 15362, 32062, 563, 763, 2596, 4834, 540, 2527, 267, 11610, 267, 543, 1648, 3560, 538, 519, 6094, 1673, 7416, 3970, 616, 454, 3602, 31941, 338, 543, 3277, 547, 519, 1544, 541, 3334, 454, 514, 8701, 10974, 267, 568, 519, 2527, 2627, 5860, 267, 568, 519, 4835, 1648, 829, 454, 529, 519, 19794, 7471, 3154, 2604, 7229, 3842, 519, 4998, 3830, 540, 1533, 454, 529, 519, 2234, 6053, 543, 20842, 574, 3578, 958, 8795, 7299, 4336, 4463, 454, 323, 17827, 538, 1142, 12985, 1591, 1210, 606, 13429, 540, 2199, 8652, 18878, 11466, 2676, 529, 519, 6991, 538, 519, 454, 4134, 330, 7077, 267, 543, 568, 519, 13506, 2059, 519, 1544, 541, 10974, 540, 519, 12210, 563, 763, 13829, 540, 593, 2837, 568, 9936, 1242, 1759, 593, 519, 960, 540, 16549, 684, 15676, 1299, 769, 7491, 26854, 630, 1220, 271, 264, 609, 454, 1721, 519, 3154, 2837, 1447, 982, 476, 1911, 918, 543, 6382, 454, 3602, 568, 519, 853, 1030, 534, 5174, 565, 16379, 10458, 3586, 267, 568, 454, 1492, 4571, 30350, 2837, 540, 3154, 454, 3602, 568, 519, 23735, 2747, 2837, 693, 519, 1167, 2627, 5462, 676, 519, 24974, 543, 4282, 3109, 23073, 23735, 2747, 607, 454, 3602, 568, 519, 7833, 4282, 2837, 630, 514, 938, 2203, 1305, 547, 519, 3355, 2837, 540, 519, 562, 7614, 6531, 4295, 264, 543, 568, 519, 5982, 13441, 630, 24479, 829, 1770, 942, 829, 1770, 2627, 1858, 264, 12842, 676, 519, 1167, 2627, 693, 24293, 3845, 689, 519, 3844, 5182, 269, 634, 8545, 7274, 568, 7229, 607, 454, 3602, 568, 519, 11841, 5086, 540, 5982, 21945, 693, 519, 1167, 2627, 630, 5976, 2463, 547, 519, 3339, 264, 693, 24293, 3845, 4586, 763, 24974, 24788, 13920, 568, 519, 2040, 540, 519, 934, 4958, 542, 24788, 13920, 16109, 689, 519, 14965, 1648, 540, 934, 516, 1540, 3154, 543, 519, 2584, 2214, 8879, 24788, 13920, 1813, 547, 14965, 13496, 543, 632, 17458, 1756, 8781, 538, 519, 24974, 9703, 269, 634, 24974, 2527, 543, 934, 4958, 542, 2557, 5196, 519, 5182, 616, 5462, 1210, 519, 2179, 540, 3154, 8429, 998, 519, 16173, 1591, 269, 634, 3601, 540, 519, 8108, 1486, 739, 541, 616, 7229, 1210, 513, 24974, 4720, 3009, 4330, 538, 4446, 25377, 1299, 932, 629, 8175, 630, 1001, 271, 1040, 901, 3009, 568, 13745, 609, 519, 1292, 8652, 323, 3428, 673, 3009, 538, 1483, 942, 269, 1717, 267, 1813, 547, 5230, 12985, 4452, 519, 24974, 4720, 3009, 568, 1045, 12097, 547, 9337, 519, 3601, 540, 519, 1486, 739, 541, 1152, 1169, 476, 736, 29757, 267, 1247, 519, 8652, 323, 3428, 673, 942, 1900, 949, 581, 607, 1507, 607, 513, 1906, 4374, 543, 519, 3003, 8653, 540, 10230, 13502, 949, 9765, 476, 272, 269, 271, 3733, 337, 269, 634, 3403, 9936, 585, 519, 24974, 4720, 3009, 568, 519, 934, 4958, 542, 2557, 2073, 1247, 519, 3977, 616, 519, 8953, 543, 2584, 2214, 8879, 24788, 13920, 540, 519, 1486, 739, 541, 269, 901, 23993, 540, 519, 12210, 543, 1486, 739, 541, 4720, 2636, 585, 513, 1582, 15926, 11962, 8990, 540, 519, 10237, 894, 3403, 540, 519, 1486, 739, 541, 883, 519, 12210, 8143, 3666, 267, 799, 568, 1271, 585, 519, 4977, 1353, 540, 12210, 16132, 543, 26610, 563, 347, 14790, 521, 26099, 1475, 288, 308, 1475, 326, 4699, 1475, 335, 322, 2008, 274, 19461, 2175, 454, 2026, 519, 3355, 14764, 267, 649, 1491, 513, 840, 3613, 15362, 4295, 24760, 883, 513, 3586, 29213, 5007, 1604, 269, 1280, 519, 3355, 2627, 5860, 9043, 540, 519, 4295, 267, 649, 9772, 513, 16866, 1106, 540, 513, 19794, 7471, 12844, 24335, 7232, 6975, 12106, 630, 291, 1952, 1299, 5178, 340, 267, 476, 1220, 280, 264, 634, 4611, 3355, 3892, 540, 519, 3154, 2627, 5860, 3217, 519, 1739, 1106, 454, 3602, 568, 519, 3154, 2627, 5860, 693, 519, 4099, 540, 519, 4295, 267, 568, 519, 8953, 540, 519, 3844, 29415, 540, 519, 4295, 267, 568, 519, 8953, 540, 519, 4295, 267, 568, 519, 3355, 3280, 3432, 267, 543, 568, 519, 5860, 540, 519, 5007, 1604, 267, 519, 1871, 540, 799, 568, 1305, 3160, 547, 519, 3154, 2627, 5860, 693, 519, 9018, 6316, 540, 519, 4295, 630, 1040, 769, 782, 3631, 519, 1871, 540, 568, 1305, 547, 476, 272, 269, 273, 543, 519, 3355, 2837, 568, 1305, 547, 476, 1015, 918, 563, 2414, 1353, 519, 1198, 540, 1102, 718, 689, 519, 5007, 1604, 6353, 676, 8795, 16070, 11610, 267, 649, 9772, 519, 1739, 1106, 585, 519, 3355, 24293, 9043, 540, 16070, 6991, 454, 3602, 568, 519, 16070, 6991, 540, 519, 4295, 543, 568, 513, 10155, 1652, 18440, 3815, 10747, 519, 16070, 6991, 538, 519, 5007, 1604, 269, 634, 16070, 6991, 9043, 1063, 519, 4295, 543, 519, 5007, 1604, 568, 12347, 8678, 693, 519, 9018, 6316, 540, 519, 4295, 563, 2171, 723, 2808, 476, 276, 3631, 267, 519, 3355, 14764, 585, 799, 568, 3254, 538, 7612, 476, 272, 269, 769, 1880, 267, 519, 2451, 8440, 1459, 519, 24293, 3892, 540, 2073, 1247, 519, 1318, 8440, 1397, 607, 513, 1599, 540, 24293, 3845, 269, 7844, 476, 272, 4564, 513, 25144, 15914, 9678, 4295, 630, 7224, 5007, 1604, 264, 609, 2527, 543, 5223, 540, 24364, 547, 14965, 1648, 1547, 17738, 476, 273, 1700, 276, 2015, 519, 1482, 4295, 24760, 883, 519, 5007, 1604, 609, 1114, 16070, 29702, 269, 769, 1880, 267, 2203, 476, 273, 814, 513, 1351, 582, 908, 5007, 1604, 609, 519, 1482, 16070, 6991, 607, 602, 540, 519, 4295, 267, 1247, 538, 2203, 476, 274, 519, 16070, 6991, 540, 519, 5007, 1604, 568, 476, 1015, 2053, 4130, 982, 602, 540, 519, 4295, 269, 17738, 476, 275, 543, 476, 276, 616, 6353, 676, 513, 4831, 8527, 908, 5007, 1604, 269, 769, 1880, 267, 538, 2203, 476, 275, 519, 5007, 16070, 6991, 568, 4557, 2053, 4130, 676, 6207, 1871, 982, 602, 540, 519, 4295, 267, 1247, 538, 2203, 476, 276, 519, 5007, 16070, 6991, 568, 3160, 547, 602, 540, 519, 4295, 676, 6207, 1871, 269, 769, 3631, 476, 273, 268, 276, 519, 24293, 3892, 540, 3154, 2627, 5860, 568, 9838, 269, 634, 6724, 540, 1169, 2203, 616, 3177, 538, 7305, 476, 272, 563, 1103, 713, 3296, 267, 649, 1376, 609, 6236, 519, 3601, 540, 513, 1486, 739, 15362, 12210, 4646, 689, 519, 14965, 12900, 540, 606, 9678, 840, 3613, 15362, 4295, 543, 3136, 676, 6236, 3631, 602, 1491, 883, 2272, 519, 1198, 540, 5007, 1604, 563, 275, 269, 272, 634, 9678, 2203, 454, 2026, 513, 18634, 2203, 267, 649, 2015, 606, 9678, 15341, 15362, 4295, 609, 2527, 543, 5223, 540, 24364, 547, 14965, 1648, 630, 1877, 12898, 267, 2203, 476, 272, 1040, 901, 3903, 568, 12592, 676, 938, 3105, 10230, 8652, 323, 3428, 923, 13502, 10834, 602, 1486, 739, 15362, 28283, 4646, 689, 23780, 609, 2147, 4162, 616, 4397, 547, 581, 28040, 2787, 958, 18633, 543, 12155, 547, 26610, 538, 519, 2038, 11251, 3942, 540, 24974, 4720, 630, 309, 528, 984, 344, 990, 267, 476, 1001, 272, 1040, 7612, 476, 273, 6799, 519, 942, 4720, 540, 519, 3154, 2627, 5860, 538, 2203, 476, 272, 538, 519, 6418, 22847, 4216, 269, 634, 2898, 12985, 3148, 11498, 547, 476, 1911, 876, 22847, 269, 634, 942, 1714, 17863, 689, 519, 5250, 540, 519, 3844, 5182, 568, 8612, 538, 1142, 8470, 269, 634, 4336, 3046, 568, 538, 2845, 575, 4699, 543, 519, 2539, 2627, 5860, 12939, 568, 1305, 547, 575, 4699, 865, 602, 519, 3109, 3148, 568, 711, 8900, 855, 4904, 609, 513, 1970, 5860, 1570, 9991, 5196, 519, 12210, 689, 519, 15366, 4295, 563, 763, 1486, 739, 15362, 12210, 538, 2203, 476, 272, 3587, 28040, 2787, 958, 18633, 693, 519, 1360, 2038, 3942, 540, 4720, 630, 553, 28955, 676, 513, 18700, 2497, 2907, 1459, 693, 3733, 337, 264, 1813, 547, 513, 11173, 2527, 15205, 689, 519, 1102, 16226, 4295, 269, 634, 1101, 23650, 3029, 538, 519, 12210, 1310, 3733, 337, 267, 950, 519, 12210, 2527, 543, 8953, 2253, 547, 9765, 476, 271, 269, 272, 543, 476, 1911, 22847, 267, 6606, 269, 901, 568, 538, 6876, 609, 1082, 3105, 10230, 543, 7811, 2090, 267, 10834, 602, 519, 12210, 2115, 547, 10536, 513, 2565, 2527, 20465, 543, 1332, 547, 513, 2565, 2450, 630, 22847, 264, 1354, 14965, 26610, 666, 1671, 826, 630, 1805, 600, 520, 749, 657, 1299, 18724, 10290, 267, 476, 1220, 279, 282, 19676, 1696, 620, 1421, 476, 1001, 271, 282, 966, 528, 984, 344, 990, 267, 476, 1001, 272, 282, 8585, 340, 1299, 645, 622, 267, 476, 1001, 273, 1040, 1284, 1031, 519, 23650, 9477, 5690, 4330, 538, 966, 528, 984, 344, 990, 630, 1001, 274, 264, 547, 5173, 519, 13999, 540, 519, 15998, 269, 634, 15998, 941, 4857, 1759, 593, 1079, 2175, 281, 476, 272, 264, 519, 23650, 1590, 581, 2604, 23418, 9285, 267, 609, 513, 2942, 2604, 13506, 609, 2463, 547, 519, 4099, 540, 519, 23650, 543, 476, 273, 264, 519, 23650, 1590, 581, 6854, 1927, 676, 8904, 267, 609, 519, 1761, 1134, 1373, 27811, 693, 519, 4099, 540, 519, 23650, 269, 634, 4611, 13999, 540, 519, 15998, 9114, 538, 519, 476, 273, 269, 276, 1700, 276, 269, 271, 2039, 563, 3080, 666, 1294, 538, 7612, 476, 273, 602, 519, 1184, 540, 12210, 26610, 538, 2203, 476, 272, 568, 711, 6024, 855, 26740, 1107, 942, 11996, 6029, 15998, 616, 3124, 730, 676, 11996, 6029, 1100, 4191, 540, 12210, 26610, 269, 634, 2053, 7051, 609, 799, 519, 12210, 15998, 568, 5462, 676, 519, 5223, 630, 309, 528, 984, 344, 990, 1696, 620, 1421, 476, 1001, 274, 320, 994, 3602, 568, 519, 12210, 2527, 543, 568, 519, 2557, 540, 2527, 1102, 718, 689, 519, 15366, 4295, 5196, 519, 12210, 269, 14171, 543, 29757, 585, 519, 6093, 2418, 540, 543, 630, 5408, 8431, 338, 269, 476, 1015, 543, 476, 1556, 1070, 649, 3489, 3733, 337, 267, 799, 5526, 547, 3858, 630, 5976, 514, 513, 3815, 540, 9322, 264, 609, 513, 11617, 6059, 1871, 540, 3733, 337, 630, 5408, 8431, 269, 476, 273, 1040, 634, 10715, 540, 15998, 568, 2356, 10156, 982, 476, 271, 269, 272, 3733, 337, 267, 2901, 1813, 547, 9194, 593, 519, 3844, 1486, 739, 541, 610, 9552, 3842, 23864, 8731, 13196, 630, 1805, 600, 520, 749, 657, 1696, 620, 1421, 476, 1001, 272, 282, 966, 528, 984, 344, 990, 1696, 620, 1421, 476, 1001, 274, 320, 1070, 4611, 538, 12675, 5712, 540, 12210, 4720, 1510, 15998, 269, 7053, 267, 621, 568, 4502, 15663, 602, 519, 12210, 3029, 1152, 835, 23650, 693, 513, 942, 267, 799, 10522, 602, 552, 20287, 540, 15998, 883, 519, 954, 743, 13831, 5420, 1813, 547, 14965, 1082, 23073, 5872, 538, 971, 513, 1062, 568, 7543, 630, 15368, 340, 1299, 966, 528, 984, 344, 990, 267, 476, 1001, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 24179, 272, 266, 337, 264, 1262, 8987, 332, 4297, 270, 337, 454, 453, 8002, 783, 5314, 815, 589, 2608, 2781, 1993, 454, 13537, 3488, 341, 582, 516, 521, 2946, 638, 775, 632, 3299, 332, 10086, 322, 1662, 2095, 1130, 550, 957, 3241, 2211, 3299, 8002, 783, 5314, 994, 12828, 912, 13537, 3488, 288, 340, 2847, 7546, 631, 976, 773, 584, 5073, 0, 3698, 1965, 5334, 889, 322, 611, 6511, 6262, 611, 6511, 267, 23658, 611, 6511, 2187, 825, 952, 20017, 6511, 26098, 4433, 889, 322, 611, 6511, 264, 2652, 910, 272, 912, 1038, 1820, 2891, 7224, 1965, 23658, 611, 6511, 5602, 825, 3116, 912, 1038, 1820, 2891, 525, 23658, 611, 6511, 257, 9239, 3698, 524, 783, 318, 9366, 318, 27146, 3266, 6262, 611, 6511, 19963, 267, 20017, 6511, 10734, 2187, 825, 952, 20017, 6511, 19963, 2999, 20017, 6511, 10734, 912, 1038, 1820, 6262, 611, 6511, 19963, 994, 825, 3116, 912, 1038, 1820, 6262, 611, 6511, 10734, 9239, 525, 5334, 889, 322, 611, 6511, 2891, 303, 788, 601, 340, 2580, 834, 1663, 5602, 322, 783, 318, 9366, 318, 27146, 3266, 2891, 289, 2580, 834, 288, 5602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1492, 3959, 3294, 1510, 1813, 1184, 540, 519, 1876, 543, 538, 18670, 540, 519, 9139, 540, 519, 2136, 2276, 563, 28308, 729, 519, 4644, 540, 713, 3375, 282, 3959, 4690, 1631, 1336, 4027, 1996, 1857, 6042, 267, 543, 6923, 519, 10470, 2968, 519, 1843, 540, 2810, 9880, 676, 1346, 945, 941, 771, 4186, 5034, 609, 519, 4540, 1514, 543, 2804, 1931, 563, 763, 6182, 1052, 543, 519, 5634, 2797, 6105, 4857, 609, 621, 17379, 267, 855, 513, 2034, 5951, 540, 771, 20880, 538, 519, 5216, 625, 729, 519, 4282, 585, 519, 26478, 262, 19137, 543, 519, 7377, 592, 626, 5428, 540, 519, 2038, 562, 6839, 625, 269, 769, 519, 2898, 2039, 540, 1977, 2797, 3332, 1100, 3561, 568, 811, 7415, 982, 519, 7377, 592, 626, 3760, 540, 476, 6245, 273, 282, 621, 24298, 519, 4540, 771, 20880, 543, 5227, 14319, 799, 267, 3622, 9833, 693, 519, 942, 607, 1932, 9097, 2479, 547, 581, 4294, 267, 2221, 616, 513, 851, 540, 938, 31249, 2797, 1062, 269, 4107, 540, 519, 3332, 11341, 547, 7377, 592, 1143, 568, 3134, 31906, 531, 282, 855, 540, 1483, 7499, 20519, 568, 634, 17857, 17020, 527, 267, 610, 519, 12096, 540, 16016, 8712, 267, 513, 10565, 5188, 6273, 676, 519, 14710, 540, 27737, 16016, 8712, 540, 17857, 538, 1010, 16311, 585, 556, 3887, 3005, 547, 519, 2136, 2276, 14130, 563, 13640, 5537, 609, 519, 989, 337, 4115, 3350, 729, 519, 3747, 585, 536, 22015, 718, 1143, 282, 8197, 27737, 3212, 742, 518, 538, 1010, 26478, 17121, 24016, 1863, 8988, 607, 513, 16185, 585, 519, 20494, 341, 1734, 540, 519, 6705, 269, 634, 834, 321, 4490, 540, 519, 4441, 257, 2968, 519, 782, 21716, 2797, 3390, 1063, 476, 6642, 279, 543, 476, 6245, 277, 269, 4107, 540, 519, 24192, 7957, 10696, 519, 4154, 3044, 267, 16113, 7905, 808, 269, 19846, 1338, 700, 2795, 4802, 540, 519, 2160, 540, 9628, 269, 3571, 3778, 540, 645, 22015, 718, 1143, 538, 519, 2136, 2276, 729, 811, 982, 513, 1686, 282, 621, 729, 849, 513, 20237, 540, 1395, 2210, 718, 1143, 267, 543, 729, 4922, 20926, 2429, 519, 8988, 989, 2787, 269, 634, 12102, 540, 519, 24192, 267, 945, 29846, 536, 22015, 718, 1143, 267, 729, 1655, 6719, 676, 661, 269, 18148, 12448, 338, 267, 5518, 540, 9466, 2160, 267, 538, 1010, 1323, 12968, 652, 667, 20683, 269, 1924, 9244, 729, 519, 1395, 2210, 28351, 3069, 7957, 10696, 1851, 519, 15061, 5049, 540, 519, 5101, 602, 5518, 12448, 338, 781, 14669, 5784, 941, 835, 2014, 540, 1010, 29997, 566, 689, 9466, 538, 476, 6245, 278, 269, 1809, 519, 14039, 11726, 576, 632, 4187, 538, 519, 2898, 989, 2787, 729, 654, 269, 670, 269, 29542, 781, 3213, 514, 781, 11038, 3427, 630, 6245, 275, 1070, 513, 2370, 1433, 267, 2241, 538, 2511, 267, 8642, 538, 14745, 267, 799, 267, 1065, 11781, 539, 1282, 519, 5859, 540, 476, 6245, 277, 267, 10150, 513, 10009, 2147, 547, 602, 540, 519, 0, 763, 6406, 2782, 5949, 1813, 547, 519, 1082, 3604, 1063, 519, 3345, 543, 519, 3162, 269, 1280, 1383, 2804, 267, 1514, 267, 2686, 543, 2797, 3604, 269, 15486, 540, 519, 6406, 2782, 634, 1973, 5006, 2112, 3013, 814, 2479, 10692, 729, 519, 6406, 2782, 269, 634, 6406, 2782, 729, 10692, 1063, 3345, 543, 3162, 3013, 269, 901, 2112, 729, 1082, 1296, 538, 519, 1818, 269, 2060, 1169, 1007, 3454, 267, 13545, 858, 267, 1876, 267, 610, 1007, 1533, 7127, 519, 3345, 543, 3162, 9969, 7517, 269, 634, 6406, 2782, 16768, 1063, 543, 543, 621, 8507, 547, 811, 982, 2073, 25096, 269, 1717, 267, 519, 3123, 540, 6406, 2782, 666, 581, 14360, 1394, 547, 13253, 602, 941, 2813, 2038, 538, 519, 1686, 540, 519, 4182, 269, 634, 1977, 6406, 2782, 281, 15486, 267, 8841, 267, 543, 4406, 7190, 3223, 12298, 25391, 518, 828, 3778, 7905, 4132, 816, 5412, 476, 280, 267, 634, 13581, 652, 2446, 540, 519, 1977, 6406, 2782, 568, 2614, 547, 3142, 8642, 543, 1419, 27337, 4328, 2592, 883, 835, 779, 2212, 281, 10239, 540, 4666, 7980, 267, 993, 1584, 725, 1510, 23236, 267, 543, 3676, 4881, 19856, 656, 269, 15486, 540, 519, 6406, 2782, 4828, 9293, 1923, 476, 274, 9664, 269, 589, 2101, 4655, 538, 519, 2136, 2276, 685, 1686, 568, 519, 1977, 6406, 2782, 269, 3509, 3123, 3366, 547, 519, 6406, 2782, 269, 901, 782, 5949, 1472, 519, 4571, 521, 269, 898, 729, 513, 4655, 1063, 519, 8832, 543, 8828, 2829, 563, 268, 10374, 4828, 593, 519, 15486, 540, 519, 1977, 6406, 2782, 454, 268, 15486, 540, 519, 6406, 2782, 1557, 454, 268, 634, 15486, 540, 519, 1977, 6406, 2782, 4828, 7151, 454, 268, 1548, 21518, 519, 15486, 540, 519, 1977, 6406, 2782, 286, 4828, 454, 1607, 3486, 4655, 568, 5310, 519, 1034, 2854, 827, 543, 6594, 4062, 540, 2136, 2276, 1686, 269, 1924, 4010, 1018, 3361, 519, 3540, 2112, 286, 634, 2112, 729, 513, 1267, 540, 20849, 20748, 267, 2686, 543, 2804, 2093, 1063, 1312, 4525, 269, 26913, 1488, 7666, 2406, 519, 2489, 13618, 568, 602, 8474, 729, 519, 3119, 2014, 540, 519, 3540, 2112, 563, 10214, 1498, 972, 941, 3604, 540, 6644, 593, 8474, 1369, 5742, 2829, 693, 519, 942, 543, 711, 782, 519, 2829, 602, 4371, 10437, 941, 851, 540, 634, 28583, 2329, 267, 621, 729, 3622, 2312, 602, 634, 3345, 543, 634, 3162, 4371, 15852, 5784, 547, 8474, 267, 3056, 547, 2797, 3123, 540, 519, 3540, 2112, 269, 3245, 513, 10952, 5133, 267, 10553, 9562, 729, 711, 5812, 609, 14081, 22675, 267, 513, 6138, 799, 4371, 796, 531, 1329, 762, 1367, 2924, 543, 15698, 607, 922, 1883, 3844, 2418, 563, 2026, 14081, 22675, 729, 519, 4295, 6138, 540, 519, 2136, 2276, 267, 634, 5742, 1279, 539, 547, 3142, 8474, 547, 513, 16795, 1439, 676, 5627, 922, 3262, 2429, 519, 4182, 269, 634, 3162, 5156, 602, 713, 2856, 4682, 1996, 741, 25799, 2924, 543, 602, 789, 1058, 581, 4847, 547, 1378, 10437, 952, 789, 865, 5551, 563, 763, 5354, 540, 8474, 729, 10363, 538, 634, 3345, 607, 621, 1185, 1044, 7979, 31090, 538, 519, 476, 866, 628, 2540, 267, 2943, 922, 7269, 729, 678, 1057, 538, 7013, 2829, 563, 14112, 4828, 593, 519, 15486, 540, 519, 1977, 6406, 2782, 454, 763, 4473, 540, 669, 3430, 601, 8474, 5921, 602, 10437, 1223, 581, 11751, 543, 4421, 607, 3959, 543, 1022, 1453, 519, 10437, 1185, 1223, 1831, 3959, 1932, 269, 4658, 941, 11262, 30739, 267, 7429, 538, 634, 3345, 563, 763, 2528, 540, 20552, 1235, 538, 519, 5742, 5288, 563, 2026, 12493, 7150, 538, 1010, 22305, 1116, 2232, 267, 835, 3887, 12915, 540, 519, 1977, 2551, 941, 25549, 10437, 602, 941, 2199, 2213, 538, 634, 3162, 799, 1185, 1880, 543, 3532, 4690, 269, 2353, 6785, 602, 891, 4690, 941, 11214, 519, 2014, 540, 519, 2112, 563, 763, 19004, 1715, 4789, 2829, 543, 519, 2916, 540, 634, 3345, 941, 7361, 711, 14018, 585, 8105, 543, 865, 713, 2872, 729, 711, 17947, 269, 5502, 267, 5663, 729, 519, 1630, 4040, 2872, 538, 713, 3148, 543, 5370, 941, 1500, 609, 6191, 3079, 540, 1373, 6738, 269, 634, 1630, 4040, 5663, 2872, 543, 18666, 18246, 5921, 602, 4872, 941, 2111, 547, 1332, 538, 7187, 2829, 543, 2749, 1272, 4742, 519, 2343, 540, 7187, 2486, 269, 769, 4334, 267, 634, 3162, 729, 513, 1454, 1732, 3148, 585, 3395, 267, 609, 513, 2603, 540, 15417, 3037, 267, 2523, 2059, 519, 7777, 11656, 5757, 30520, 563, 763, 6694, 2872, 5921, 602, 7429, 4872, 267, 5411, 1223, 723, 1804, 11396, 609, 11999, 1930, 4610, 269, 29158, 267, 7573, 267, 10269, 543, 519, 967, 15282, 2030, 941, 1883, 2472, 6738, 538, 7361, 1395, 665, 11857, 11396, 602, 2838, 11668, 689, 3875, 10437, 269, 1677, 2322, 621, 3274, 267, 634, 3345, 17329, 6721, 2472, 543, 634, 3162, 17329, 3395, 267, 543, 865, 713, 3812, 519, 2804, 3123, 540, 519, 6406, 2782, 563, 10303, 540, 519, 3677, 2551, 538, 519, 7187, 3148, 267, 3152, 6639, 8441, 543, 2804, 1967, 1291, 547, 3152, 9424, 540, 14475, 5370, 267, 4061, 8474, 729, 7930, 943, 1078, 856, 269, 901, 729, 538, 4334, 547, 634, 3162, 799, 31030, 593, 8474, 585, 922, 12880, 6694, 4346, 563, 27246, 540, 519, 6406, 2782, 1557, 454, 306, 4822, 2829, 1185, 2370, 7287, 547, 9784, 5663, 607, 4213, 941, 1759, 593, 1970, 1942, 11668, 543, 865, 6462, 519, 1318, 547, 6133, 10412, 543, 6718, 14475, 3688, 689, 1022, 2197, 269, 769, 4334, 267, 8832, 2829, 1185, 8185, 16539, 538, 5663, 543, 1223, 711, 14526, 609, 4359, 3864, 6080, 547, 2709, 1164, 5777, 689, 7013, 10412, 20558, 543, 2539, 5777, 585, 14475, 1434, 18666, 538, 2132, 563, 1607, 3017, 538, 2804, 4690, 5921, 602, 634, 3345, 6462, 29388, 593, 5370, 6466, 634, 3162, 18796, 513, 1863, 4123, 269, 2368, 12206, 7521, 2436, 3604, 538, 4346, 1063, 7187, 543, 7013, 4525, 1705, 948, 4412, 601, 519, 2112, 563, 763, 15486, 540, 519, 1977, 6406, 2782, 4828, 7151, 454, 288, 1297, 540, 4081, 2959, 3100, 547, 2303, 602, 1312, 4525, 11615, 941, 14911, 267, 1775, 269, 634, 3345, 543, 634, 3162, 1705, 4123, 513, 1713, 2179, 609, 1142, 824, 799, 4547, 827, 8994, 2640, 269, 1717, 267, 621, 568, 2312, 602, 519, 954, 933, 3058, 540, 519, 10553, 2528, 883, 519, 7013, 4346, 5921, 602, 20752, 2829, 1131, 723, 4503, 513, 2603, 952, 8474, 729, 3144, 2476, 689, 873, 267, 543, 713, 1131, 723, 1044, 513, 1390, 2707, 540, 8082, 563, 2252, 519, 24454, 540, 519, 5354, 540, 7013, 1870, 5443, 941, 693, 7196, 267, 621, 568, 1100, 4898, 789, 1131, 723, 8854, 547, 9058, 13080, 547, 9718, 741, 4690, 269, 8791, 16117, 543, 2817, 1143, 570, 5014, 941, 5667, 584, 29418, 1164, 543, 14017, 3459, 547, 1786, 342, 1369, 4525, 1318, 1354, 519, 942, 540, 519, 2112, 267, 3056, 547, 7839, 3296, 16117, 563, 4263, 519, 942, 621, 5433, 899, 1079, 5094, 2694, 540, 519, 1158, 543, 1317, 1142, 3148, 2219, 540, 2933, 607, 1114, 267, 621, 729, 811, 2653, 585, 1918, 13920, 543, 4655, 547, 1786, 342, 1063, 891, 4525, 269, 6206, 2055, 941, 15054, 281, 1548, 2924, 798, 2829, 723, 936, 519, 3844, 2229, 286, 9701, 2829, 723, 811, 1379, 982, 3844, 2229, 888, 19675, 519, 3844, 2229, 723, 782, 519, 1379, 538, 1818, 3664, 286, 634, 3162, 11130, 602, 1142, 1533, 1185, 2924, 547, 694, 1027, 324, 543, 4734, 519, 5742, 8164, 789, 4941, 2443, 789, 10645, 602, 2829, 1058, 6430, 2436, 789, 1616, 547, 1780, 4031, 610, 711, 267, 607, 519, 2829, 941, 2933, 1271, 1367, 4525, 563, 21026, 10491, 16053, 513, 3454, 593, 10412, 5293, 676, 634, 3345, 1317, 634, 3162, 729, 10412, 3638, 543, 865, 3162, 10491, 9289, 1946, 789, 1185, 547, 6432, 547, 971, 4031, 602, 1131, 711, 1860, 634, 3345, 547, 519, 1482, 4110, 267, 634, 3345, 15991, 3395, 10412, 693, 782, 563, 1432, 21518, 519, 15486, 540, 519, 1977, 6406, 2782, 286, 4828, 454, 763, 3162, 4718, 14062, 12493, 607, 513, 3463, 543, 865, 11130, 602, 789, 1058, 723, 519, 1318, 547, 694, 1027, 324, 610, 4734, 519, 2136, 2276, 269, 898, 729, 11130, 602, 1142, 1533, 814, 922, 1378, 5094, 3961, 543, 865, 1142, 1533, 1058, 581, 2111, 547, 3802, 2476, 952, 789, 1616, 547, 269, 769, 1198, 267, 519, 3390, 540, 2829, 2924, 3361, 1082, 2829, 547, 798, 1175, 602, 543, 547, 1106, 741, 1378, 1895, 1572, 634, 28583, 2329, 610, 634, 20752, 2276, 540, 3013, 563, 6962, 543, 2991, 4118, 12493, 6836, 547, 1524, 2452, 519, 8474, 2427, 17548, 602, 519, 2112, 729, 5631, 827, 8497, 519, 9769, 267, 2705, 267, 621, 568, 2312, 602, 519, 12880, 3815, 602, 8507, 538, 519, 3540, 2112, 729, 8474, 269, 634, 22266, 543, 27337, 881, 2259, 540, 8474, 22012, 998, 883, 782, 540, 519, 3123, 540, 519, 3540, 2112, 267, 2870, 13253, 602, 21490, 519, 1259, 585, 971, 2530, 540, 1272, 267, 7092, 543, 9552, 269, 2353, 3123, 6404, 1927, 8108, 513, 14984, 2601, 547, 4339, 585, 519, 1434, 540, 2901, 634, 5742, 610, 634, 28583, 2329, 563, 2662, 7241, 1367, 24500, 1004, 1185, 267, 2436, 789, 941, 1759, 593, 2797, 16809, 610, 2804, 24500, 267, 6634, 540, 2367, 941, 11235, 547, 4339, 543, 5884, 269, 0, 300, 7495, 30204, 595, 7838, 30278, 8085, 9331, 11553, 8577, 454, 4596, 12613, 6865, 595, 19006, 281, 654, 14176, 631, 24535, 312, 654, 3008, 5442, 309, 7728, 3633, 267, 22295, 7728, 21398, 10498, 267, 590, 5058, 4041, 30505, 312, 630, 20911, 3201 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8807, 1009, 12785, 11966, 454, 1038, 2132, 1871, 7531, 5035, 19219, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 22561, 267, 1985, 11966, 22561, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 11966, 815, 1985, 11966, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 21606, 2020, 0, 3698, 14255, 633, 7272, 578, 6357, 848, 267, 1163, 2187, 825, 8173, 825, 12433, 3490, 317, 10339, 1210, 14255, 633, 21767, 563, 825, 5384, 6988, 281, 744, 3799, 994, 825, 8173, 825, 1267, 815, 476, 272, 454, 825, 585, 1871, 538, 1535, 9792, 263, 271, 267, 1163, 2187, 1038, 1267, 815, 1267, 2608, 3490, 454, 825, 2132, 1267, 692, 3698, 4073, 6357, 848, 267, 1163, 267, 31575, 284, 272, 2187, 825, 5727, 3097, 825, 12433, 3490, 317, 10339, 676, 1210, 834, 10339, 9426, 2747, 676, 2695, 2130, 8487, 825, 5384, 6988, 281, 744, 10857, 1758, 994, 825, 8173, 825, 952, 1163, 2652, 476, 272, 912, 1038, 2132, 3490, 2608, 31575, 454, 825, 952, 1163, 4939, 476, 273, 2652, 476, 271, 912, 1038, 2132, 4073, 6357, 848, 2608, 3490, 267, 1163, 1315, 476, 273, 267, 31575, 994, 825, 3116, 912, 1038, 2132, 4073, 6357, 848, 2608, 3490, 267, 630, 10339, 910, 476, 272, 264, 1315, 476, 273, 267, 31575, 2608, 3490, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 14255, 633, 7272, 578, 263, 273, 267, 476, 274, 994, 825, 1820, 4073, 263, 273, 267, 476, 278, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 1820, 2891, 300, 1787, 9406, 8437, 15419, 18134, 815, 31108, 20172, 267, 8700, 284, 17168, 267, 4463, 284, 13301, 267, 536, 326, 6889, 291, 1046, 7775, 577, 573, 275, 5602, 18134, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 3847, 28781, 994, 18134, 12500, 785, 2891, 283, 3719, 2023, 268, 273, 285, 2580, 332, 1497, 28781, 994, 18134, 12500, 785, 2891, 283, 3719, 2023, 268, 274, 285, 2580, 2431, 28781, 994, 18134, 26942, 21405, 284, 271, 267, 26383, 284, 271, 994, 10174, 6230, 664, 31467, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 769, 2091, 540, 513, 19336, 692, 2304, 562, 1535, 562, 5119, 589, 568, 1767, 547, 723, 606, 11201, 3177, 972, 6818, 606, 562, 1535, 562, 5119, 645, 971, 602, 9474, 815, 22601, 815, 769, 269, 1284, 1289, 645, 519, 11201, 540, 589, 543, 20301, 621, 607, 589, 268, 272, 269, 4935, 267, 21191, 268, 272, 815, 589, 268, 272, 288, 815, 769, 269, 769, 713, 2013, 267, 589, 568, 849, 1572, 20060, 532, 983, 780, 7078, 780, 259, 288, 815, 1422, 3847, 7268, 8218, 15204, 2410, 764, 764, 348, 272, 261, 273, 261, 274, 261, 275, 11138, 276, 261, 277, 261, 278, 261, 279, 17910, 15204, 4153, 2431, 22491, 2162, 14497, 476, 272, 692, 763, 11201, 540, 513, 5119, 267, 952, 621, 6818, 267, 568, 2189, 692, 2162, 14497, 476, 273, 692, 2252, 589, 543, 645, 616, 1312, 20060, 532, 983, 562, 1535, 562, 14290, 630, 328, 4318, 269, 538, 3200, 1043, 1070, 1287, 9474, 568, 20060, 532, 983, 543, 630, 5723, 9984, 272, 815, 645, 268, 272, 288, 268, 272, 269, 0, 11243, 281, 1109, 5231, 476, 273, 526, 6103, 4569, 4515, 17087, 4530, 476, 275, 692, 21296, 14893, 454, 26368, 519, 3903, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 780, 272, 780, 276, 270, 278, 1107, 476, 274, 270, 278, 21591, 513, 269, 476, 279, 270, 278, 546, 269, 476, 271, 536, 269, 476, 273, 552, 269, 476, 278, 524, 269, 476, 273, 270, 278, 692, 273, 780, 272, 270, 274, 1341, 476, 272, 270, 273, 21591, 513, 269, 476, 273, 270, 276, 546, 269, 476, 276, 270, 277, 536, 269, 476, 1015, 270, 1321, 552, 269, 476, 273, 270, 277, 524, 269, 476, 272, 270, 276, 692, 274, 780, 4467, 1584, 566, 1107, 623, 2075, 757, 1107, 681, 3951, 476, 4489, 1107, 476, 1220, 454, 1432, 568, 476, 275, 260, 540, 476, 736, 888, 513, 269, 476, 2190, 546, 269, 476, 271, 269, 6860, 536, 269, 476, 1626, 552, 269, 476, 271, 269, 279, 524, 269, 476, 279, 692, 275, 780, 4467, 1584, 566, 1107, 19940, 10606, 1107, 681, 3951, 476, 4489, 1107, 476, 1220, 454, 288, 1268, 11751, 476, 3451, 13212, 543, 476, 1691, 533, 8986, 693, 513, 4558, 269, 1215, 1082, 3688, 1705, 519, 454, 513, 269, 476, 3451, 546, 269, 476, 866, 536, 269, 476, 5325, 552, 269, 476, 5379, 524, 269, 476, 6872, 692, 276, 780, 8340, 519, 4806, 543, 2626, 519, 2243, 563, 276, 267, 476, 1556, 267, 476, 1704, 267, 476, 2537, 267, 476, 3066, 267, 476, 3374, 267, 476, 6078, 267, 476, 5325, 454, 7617, 1297, 1131, 7157, 3514, 519, 4806, 888, 513, 269, 476, 5325, 546, 269, 476, 7871, 536, 269, 476, 276, 552, 269, 476, 4366, 524, 269, 476, 5392, 692, 277, 780, 263, 278, 1341, 476, 273, 264, 1341, 476, 274, 815, 476, 278, 1341, 630, 273, 1341, 1109, 12467, 513, 269, 476, 274, 546, 269, 476, 271, 536, 269, 476, 273, 552, 269, 476, 1321, 524, 269, 476, 278, 692, 278, 780, 7617, 3830, 14550, 519, 862, 32477, 3959, 540, 1840, 888, 513, 269, 476, 274, 1341, 476, 273, 1341, 476, 272, 815, 476, 277, 546, 269, 476, 275, 1107, 476, 274, 815, 476, 272, 536, 269, 476, 274, 1341, 476, 273, 815, 476, 273, 1341, 476, 274, 552, 269, 476, 273, 1341, 476, 274, 815, 476, 272, 1341, 476, 275, 524, 269, 476, 273, 1535, 476, 274, 815, 476, 273, 1341, 476, 275, 692, 279, 780, 299, 13453, 28520, 2947, 11084, 693, 513, 3077, 269, 2701, 13603, 909, 519, 11084, 543, 28520, 782, 540, 873, 454, 520, 519, 3077, 1586, 269, 1215, 1082, 2053, 1705, 23436, 12235, 888, 513, 269, 476, 276, 546, 269, 476, 278, 536, 269, 476, 1015, 552, 269, 476, 1428, 524, 269, 476, 273, 692, 280, 780, 2767, 267, 271, 5392, 454, 268, 1724, 267, 280, 2767, 454, 513, 269, 476, 2412, 267, 9032, 277, 546, 269, 476, 1724, 267, 14338, 536, 269, 476, 1724, 267, 15171, 552, 269, 476, 1691, 267, 14338, 524, 269, 476, 1691, 267, 280, 2420, 692, 1015, 780, 305, 895, 547, 519, 14282, 4627, 563, 6246, 267, 3607, 273, 454, 513, 269, 476, 6246, 267, 6110, 546, 269, 476, 6246, 267, 4968, 536, 269, 476, 6246, 267, 3607, 273, 552, 269, 476, 6246, 267, 11740, 524, 269, 476, 2412, 267, 1822, 692, 1556, 780, 2537, 2473, 476, 1724, 21591, 513, 269, 476, 30640, 546, 269, 476, 9692, 536, 269, 476, 3607, 552, 269, 476, 26482, 524, 269, 476, 30156, 692, 1321, 780, 5379, 454, 343, 476, 2767, 454, 513, 269, 476, 10463, 546, 269, 476, 272, 267, 9083, 536, 269, 476, 272, 267, 26237, 552, 269, 476, 272, 267, 12208, 524, 269, 476, 866, 692, 1724, 780, 278, 267, 280, 5038, 454, 268, 276, 267, 279, 2641, 454, 513, 269, 476, 273, 267, 25838, 546, 269, 476, 273, 267, 271, 6246, 536, 269, 476, 1724, 267, 4281, 276, 552, 269, 476, 274, 267, 16960, 524, 269, 476, 273, 267, 16960, 692, 1691, 780, 278, 3066, 2473, 476, 6321, 21591, 513, 269, 476, 4375, 267, 28638, 546, 269, 476, 279, 267, 25171, 536, 269, 476, 274, 267, 277, 3393, 552, 269, 476, 2412, 267, 279, 2190, 524, 269, 476, 4281, 276, 692, 1428, 780, 278, 267, 31239, 2473, 476, 9818, 21591, 513, 269, 476, 278, 267, 16960, 546, 269, 476, 11011, 267, 26392, 536, 269, 476, 2764, 267, 25118, 552, 269, 476, 278, 2767, 267, 14625, 524, 269, 476, 278, 1839, 267, 6344, 0, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 4179, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 454, 29479, 11833, 692, 898, 568, 4867, 476, 2190, 3057, 476, 1001, 278, 267, 476, 2537, 281, 1240, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 4014, 519, 10958, 8637, 538, 717, 648, 6807, 521, 3844, 10918, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 10048, 4526, 454, 16274, 281, 476, 6349, 4119, 476, 1220, 277, 454, 15803, 281, 476, 21497, 454, 19613, 281, 12872, 701, 328, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 24241, 1496, 271, 3910, 2016, 281, 476, 271, 692, 7212, 519, 10958, 8637, 538, 717, 648, 6807, 521, 3844, 10918, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1240, 9484, 476, 1220, 277, 267, 476, 2420, 281, 5400, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 7212, 519, 10958, 8637, 538, 717, 648, 6807, 5889, 23717, 338, 3844, 10918, 8664, 616, 4397, 547, 2673, 1369, 2947, 1296, 607, 513, 1267, 540, 6735, 689, 513, 1975, 754, 27832, 10958, 8257, 4558, 602, 1175, 8118, 267, 1346, 6753, 786, 711, 3251, 7477, 656, 585, 1279, 269, 769, 519, 2947, 1296, 2094, 519, 6679, 540, 2051, 5459, 5889, 23717, 338, 267, 513, 562, 1180, 4593, 870, 8257, 4558, 267, 513, 1007, 4558, 814, 8118, 693, 519, 4087, 540, 1169, 4558, 538, 519, 10918, 8664, 602, 6806, 1317, 621, 1223, 711, 14526, 609, 2051, 5459, 5889, 23717, 338, 780, 7617, 540, 519, 1739, 267, 952, 3020, 267, 1034, 12517, 4617, 839, 519, 4661, 2496, 288, 281, 6624, 5561, 540, 2051, 5459, 5889, 23717, 338, 616, 4397, 547, 798, 1447, 10918, 972, 982, 789, 1705, 1354, 519, 1975, 754, 27832, 4558, 8118, 780, 289, 281, 19102, 2084, 569, 267, 519, 8637, 602, 723, 8118, 538, 519, 3844, 10918, 8664, 2094, 2051, 5459, 5889, 23717, 338, 8118, 723, 1044, 10958, 8637, 780, 290, 281, 4263, 1459, 267, 519, 3844, 10918, 8664, 814, 607, 1082, 8637, 5665, 538, 621, 607, 621, 2479, 1185, 780, 291, 281, 7021, 519, 1576, 540, 519, 1985, 2947, 1296, 267, 621, 568, 4397, 602, 717, 648, 6807, 5889, 23717, 338, 2551, 786, 1332, 693, 513, 5488, 2557, 982, 621, 814, 585, 519, 2250, 1896, 5756, 780, 292, 281, 6624, 8637, 538, 519, 3844, 10918, 8664, 6133, 2010, 540, 25584, 602, 616, 711, 2139, 693, 2901, 1975, 754, 27832, 610, 2051, 5459, 5889, 23717, 338, 563, 2252, 596, 723, 1022, 2055, 454, 6124, 2336, 29262, 454, 16274, 281, 476, 1839, 9947, 476, 1220, 277, 454, 15803, 281, 476, 14138, 279, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 14681, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1240, 9484, 476, 1220, 277, 267, 476, 2420, 281, 736, 454, 563, 563, 780, 780, 296, 3513, 979, 609, 661, 563, 12421, 454, 16274, 281, 476, 2767, 4119, 476, 1220, 277, 454, 15803, 281, 476, 1015, 454, 19613, 281, 11404, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1240, 9484, 476, 1220, 277, 267, 476, 2537, 281, 1626, 454, 296, 3494, 602, 538, 1931, 547, 14020, 519, 4661, 267, 649, 991, 547, 6961, 602, 519, 6806, 8637, 786, 711, 581, 8719, 676, 1007, 8637, 563, 296, 786, 979, 609, 645, 780, 4913, 267, 952, 519, 4661, 568, 602, 8637, 786, 711, 2673, 1202, 3145, 540, 1007, 6735, 267, 1287, 17281, 318, 4252, 568, 2953, 563, 10048, 4526, 454, 16274, 281, 476, 6349, 4119, 476, 1220, 277, 454, 15803, 281, 476, 21497, 454, 19613, 281, 12872, 701, 328, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 24241, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 866, 9484, 476, 1220, 277, 267, 476, 876, 281, 1015, 454, 777, 3233, 341, 7666, 24473, 5206, 912, 296, 3494, 602, 538, 1931, 547, 14020, 519, 4661, 267, 649, 991, 547, 6961, 602, 519, 6806, 8637, 786, 711, 581, 8719, 676, 1007, 8637, 563, 296, 786, 979, 609, 645, 780, 4913, 267, 952, 519, 4661, 568, 602, 8637, 786, 711, 2673, 1202, 3145, 540, 1007, 6735, 267, 1287, 17281, 318, 4252, 568, 2953, 780, 1432, 568, 519, 4661, 538, 713, 2013, 10371, 1862, 11631, 594, 3112, 5544, 621, 780, 12179, 10911, 575, 15843, 1934, 5225, 1796, 909, 2483, 29262, 454, 16274, 281, 476, 1839, 9947, 476, 1220, 277, 454, 15803, 281, 476, 14138, 279, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 14681, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 866, 9484, 476, 1220, 277, 267, 476, 876, 281, 2420, 454, 777, 3233, 341, 7666, 24473, 5206, 912, 296, 3494, 602, 538, 1931, 547, 14020, 519, 4661, 267, 649, 991, 547, 6961, 602, 519, 6806, 8637, 786, 711, 581, 8719, 676, 1007, 8637, 563, 296, 786, 979, 609, 645, 780, 4913, 267, 952, 519, 4661, 568, 602, 8637, 786, 711, 2673, 1202, 3145, 540, 1007, 6735, 267, 1287, 17281, 318, 4252, 568, 2953, 780, 328, 3858, 713, 4661, 568, 3833, 14845, 267, 1317, 922, 23350, 543, 3932, 616, 711, 1360, 2312, 780, 7712, 1975, 754, 27832, 568, 513, 10958, 543, 2051, 5459, 781, 568, 513, 1875, 10958, 4558, 267, 594, 1589, 538, 1931, 585, 519, 1964, 540, 519, 8637, 547, 7639, 267, 789, 575, 27198, 6133, 1945, 1114, 267, 1317, 891, 476, 273, 2462, 8637, 723, 4988, 1312, 519, 10958, 543, 1875, 1673, 4593, 870, 563, 6546, 729, 1250, 1620, 269, 1809, 594, 993, 3833, 11821, 1932, 563, 29262, 454, 16274, 281, 476, 2641, 3057, 476, 1220, 277, 454, 15803, 281, 476, 13647, 271, 454, 19613, 281, 10854, 531, 648, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 2412, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 866, 9484, 476, 1220, 277, 267, 476, 4905, 281, 736, 454, 1084, 23036, 318, 4252, 5206, 912, 777, 3233, 341, 7666, 24473, 5206 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8660, 272, 454, 4200, 454, 15965, 728, 676, 476, 274, 454, 3451, 454, 274, 265, 274, 265, 274, 265, 3451, 454, 3451, 454, 15965, 728, 676, 476, 274, 454, 1556, 454, 274, 265, 274, 265, 274, 265, 274, 265, 1556, 454, 1556, 568, 6305, 865, 519, 6305, 1249, 334, 1436, 568, 454, 274, 265, 274, 265, 274, 265, 274, 265, 1556, 610, 476, 274, 317, 275, 265, 1556, 0, 306, 15471, 2685, 4080, 713, 15942, 6011, 563, 2171, 946, 707, 21912, 1103, 9043, 543, 2534, 1239, 547, 2123, 1125, 18537, 543, 547, 1397, 596, 811, 4143, 18537, 269, 1411, 666, 1689, 707, 740, 7375, 20471, 563, 10000, 5765, 22391, 18704, 454, 9943, 692, 258, 8641, 532, 267, 32437, 1299, 3955, 32383, 692, 273, 267, 277, 1240, 5784, 692, 13775, 593, 692, 13775, 538, 281, 5303, 454, 1892, 9509, 8745, 454, 4467, 618, 4422, 1934, 780, 6701, 596, 2386, 596, 1616, 547, 8786, 3143, 454, 7312, 5048, 4422, 1934, 454, 1892, 2142, 519, 1101, 547, 6085, 692, 2162, 8641, 532, 267, 32437, 1299, 3955, 32383, 692, 272, 269, 476, 272, 269, 23959, 267, 28977, 267, 1299, 12307, 22216, 2643, 595, 637, 857, 4972, 540, 4065, 4569, 9208, 476, 273, 268, 7736, 8058, 10789, 545, 25705, 269, 6103, 476, 279, 281, 14419, 519, 9386, 540, 513, 1899, 2016, 1079, 2798, 593, 519, 1899, 630, 553, 10974, 267, 538, 513, 3113, 267, 538, 513, 3349, 264, 2422, 586, 25435, 543, 9386, 547, 3113, 519, 3830, 540, 513, 1899, 14424, 519, 3928, 540, 1689, 538, 7515, 543, 11708, 543, 19665, 873, 607, 5276, 610, 22357, 3503, 606, 3830, 2016, 519, 9184, 983, 610, 8642, 1106, 540, 513, 5276, 1966, 21302, 519, 954, 30447, 4721, 1851, 7515, 267, 11708, 267, 543, 4834, 540, 3515, 267, 9878, 1880, 3007, 547, 519, 2495, 540, 18448, 543, 9386, 538, 519, 2796, 540, 519, 1966, 454, 273, 269, 476, 273, 269, 634, 3213, 15453, 8641, 1677, 5623, 17943, 8437, 3371, 476, 1428, 20028, 630, 628, 748, 663, 27551, 3952, 264, 630, 628, 748, 663, 3952, 264, 476, 1015, 32437, 570, 5723, 299, 2464, 570, 5723, 299, 2464, 476, 276, 910, 1428, 910, 1015, 910, 276, 476, 276, 476, 1015, 476, 1428, 910, 276, 7736, 8058, 29206, 4753, 303, 4811, 10758, 29308, 3633, 910, 1015, 13698, 7644, 306, 910, 1428, 12793, 454, 274, 269, 476, 274, 269, 8437, 962, 14289, 3371, 10674, 2517, 2346, 530, 31428, 16451, 23950, 21428, 17549, 16691, 1280, 6657, 544, 270, 547, 7179, 11314, 8641, 7433, 8437, 3371, 476, 276, 4112, 8724, 519, 17943, 540, 513, 31951, 8641, 8437, 3371, 630, 2521, 930, 540, 519, 7317, 2238, 693, 713, 3135, 607, 1134, 14386, 910, 276, 630, 271, 267, 271, 264, 18882, 476, 276, 2473, 14289, 910, 276, 454, 276, 269, 476, 276, 269, 20028, 630, 628, 748, 663, 3952, 264, 27551, 630, 628, 748, 663, 3952, 264, 11814, 539, 1239, 666, 581, 9411, 883, 513, 3349, 547, 1287, 1711, 10288, 8424, 267, 3515, 593, 513, 3113, 267, 543, 4834, 563, 277, 269, 476, 277, 269, 1284, 1223, 946, 513, 3349, 547, 5750, 519, 4463, 540, 519, 5810, 607, 942, 10596, 563, 278, 269, 476, 278, 269, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 27551, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 630, 7825, 264, 901, 8768, 568, 3395, 693, 513, 3586, 2557, 282, 4061, 267, 621, 568, 5276, 269, 1403, 621, 568, 711, 3395, 693, 513, 3586, 2557, 621, 568, 1875, 268, 5276, 563, 279, 269, 476, 279, 269, 1284, 666, 1711, 513, 3349, 6029, 519, 3845, 14612, 609, 942, 2507, 7498, 280, 269, 476, 280, 269, 28914, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 20028, 476, 1839, 267, 1822, 476, 2412, 267, 1822, 476, 4649, 267, 1822, 476, 3583, 267, 1822, 630, 298, 332, 264, 8437, 3371, 547, 5623, 10288, 623, 4202, 901, 20987, 568, 10707, 693, 513, 3586, 2557, 282, 4061, 621, 568, 5276, 563, 1015, 269, 476, 1015, 269, 11473, 593, 8641, 532, 18103, 1229, 623, 4202, 8437, 1934, 454, 1556, 269, 476, 1556, 269, 901, 3349, 666, 581, 7396, 607, 10288, 8424, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 1535, 27551, 630, 7825, 264, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 962, 634, 10288, 8424, 1131, 581, 281, 630, 343, 267, 586, 264, 630, 272, 267, 273, 264, 630, 273, 267, 275, 264, 630, 274, 267, 277, 264, 630, 275, 267, 279, 264, 630, 276, 267, 1015, 264, 630, 277, 267, 1321, 264, 630, 278, 267, 1691, 264, 630, 279, 267, 1626, 264, 630, 280, 267, 1240, 264, 630, 1015, 267, 736, 994, 1321, 269, 476, 1321, 269, 901, 3349, 666, 581, 5828, 883, 10288, 8424, 281, 28914, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 5940, 4545, 476, 1839, 267, 1822, 476, 2412, 267, 1822, 476, 4649, 267, 1822, 476, 3583, 267, 1822, 552, 630, 298, 332, 264, 634, 10288, 8424, 1131, 581, 281, 630, 343, 267, 586, 264, 630, 272, 267, 476, 1839, 267, 1822, 264, 630, 273, 267, 476, 2412, 267, 1822, 264, 630, 274, 267, 476, 4649, 267, 1822, 264, 630, 275, 267, 476, 3583, 267, 1822, 994, 1724, 269, 476, 1724, 269, 8641, 532, 18103, 1229, 623, 4202, 630, 28781, 585, 2689, 264, 2422, 513, 5094, 3113, 585, 1142, 269, 630, 343, 267, 586, 264, 630, 272, 267, 273, 264, 630, 343, 267, 586, 264, 630, 273, 267, 275, 264, 630, 272, 267, 476, 1839, 267, 1822, 264, 630, 274, 267, 277, 264, 630, 273, 267, 476, 2412, 267, 1822, 264, 630, 275, 267, 279, 264, 630, 274, 267, 476, 4649, 267, 1822, 264, 630, 276, 267, 1015, 264, 630, 275, 267, 476, 3583, 267, 1822, 264, 630, 277, 267, 1321, 264, 630, 278, 267, 1691, 264, 630, 279, 267, 1626, 264, 630, 280, 267, 1240, 264, 630, 1015, 267, 736, 264, 8437, 3371, 952, 4712, 585, 547, 1451, 32437, 18140, 519, 10288, 8424, 593, 3113, 1957, 543, 1921, 547, 1106, 513, 1899, 269, 1403, 513, 2786, 1899, 3029, 982, 713, 3113, 568, 5276, 563, 1428, 269, 476, 1428, 269, 1215, 1454, 568, 519, 8768, 3395, 1142, 1554, 286, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 27551, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 630, 7825, 994, 1626, 269, 476, 1626, 269, 634, 2179, 621, 568, 3395, 568, 476, 273, 7825, 829, 1554, 269, 901, 568, 519, 2557, 540, 1689, 269, 634, 2557, 540, 1689, 568, 849, 1572, 519, 9386, 540, 519, 1899, 563, 1704, 269, 476, 1704, 269, 586, 32437, 666, 581, 1336, 476, 736, 476, 1428, 689, 6616, 2901, 27551, 476, 1015, 835, 540, 891, 281, 476, 276, 910, 1015, 910, 276, 476, 276, 476, 1015, 1535, 910, 276, 4303, 4433, 264, 513, 269, 5565, 10288, 8424, 593, 513, 910, 1015, 3113, 1899, 269, 536, 269, 5565, 10288, 8424, 593, 513, 3349, 269, 2052, 596, 3313, 519, 9386, 286, 8437, 593, 11473, 7689, 547, 1451, 875, 269, 11473, 7689, 593, 32437, 8437, 3371, 454, 1240, 269, 476, 1240, 269, 32437, 815, 32437, 815, 1689, 538, 962, 1689, 538, 2473, 2422, 707, 1702, 6591, 689, 519, 3381, 3992, 593, 9386, 543, 14419, 519, 9386, 540, 519, 1899, 585, 519, 8768, 1383, 563, 866, 269, 476, 866, 269, 630, 2791, 1223, 946, 1022, 1079, 10288, 8424, 543, 596, 1131, 1205, 519, 1482, 2626, 585, 9386, 4700, 1403, 596, 1031, 519, 10288, 8424, 630, 272, 267, 273, 264, 543, 630, 1015, 267, 476, 736, 2567, 476, 736, 910, 476, 273, 476, 1015, 910, 476, 272, 476, 1240, 476, 280, 476, 1240, 5258, 676, 476, 280, 32437, 815, 273, 2052, 596, 849, 1294, 602, 596, 666, 946, 519, 2557, 540, 1689, 538, 519, 3349, 607, 519, 9386, 286, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 27551, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 630, 7825, 994, 736, 269, 476, 736, 269, 1548, 568, 519, 2557, 540, 1689, 286, 28914, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 20028, 476, 1839, 267, 1822, 476, 2412, 267, 1822, 476, 4649, 267, 1822, 476, 3583, 267, 1822, 630, 298, 332, 264, 27973, 585, 3955, 32383, 14419, 519, 9386, 540, 519, 1899, 689, 1079, 8437, 3371, 10288, 8424, 593, 519, 3113, 1299, 5635, 269, 0, 258, 1548, 6496, 17781, 8641, 6399, 2496, 1012, 1548, 1281, 513, 5858, 3113, 2099, 2496, 288, 5858, 3113, 2982, 875, 519, 2694, 540, 1945, 9305, 547, 519, 2898, 780, 288, 5858, 3113, 568, 5258, 883, 9922, 267, 1141, 1142, 5823, 4564, 513, 1880, 7121, 780, 763, 3003, 5858, 568, 476, 272, 2898, 610, 476, 1911, 9077, 543, 513, 5823, 540, 519, 5858, 568, 513, 851, 269, 780, 1012, 1215, 798, 649, 946, 11708, 538, 4948, 1272, 2496, 28398, 1218, 786, 4324, 676, 1210, 11708, 547, 6655, 2883, 1344, 547, 741, 7218, 269, 589, 3113, 666, 581, 1360, 13561, 538, 10655, 1239, 543, 13936, 621, 538, 835, 1747, 269, 589, 3113, 666, 581, 513, 1360, 2500, 1907, 538, 9306, 3308, 1344, 2864, 24847, 269, 4634, 1053, 666, 946, 513, 3113, 607, 621, 568, 1945, 2241, 547, 2721, 780, 1012, 1215, 798, 596, 1265, 519, 6871, 540, 513, 5858, 3113, 2496, 2414, 5173, 519, 6871, 1142, 20105, 568, 4502, 267, 2268, 519, 5086, 540, 1142, 20105, 543, 7941, 713, 676, 476, 11740, 1287, 9062, 621, 676, 476, 1911, 269, 1677, 1265, 519, 1297, 540, 4773, 540, 1239, 1142, 20105, 4564, 267, 9062, 519, 6871, 602, 1142, 20105, 568, 4502, 676, 519, 2698, 1297, 540, 519, 1239, 5036, 780, 1012, 1548, 616, 519, 2010, 540, 3113, 2496, 15650, 540, 932, 11301, 634, 2185, 1034, 1455, 616, 4440, 1899, 11708, 267, 3046, 11708, 543, 1277, 9999, 267, 2650, 12125, 267, 543, 31951, 11708, 269, 1358, 616, 3622, 1031, 585, 267, 543, 616, 1655, 585, 267, 3833, 1114, 1919, 269, 1411, 1131, 946, 281, 4446, 11708, 547, 1397, 2338, 602, 616, 4830, 540, 1142, 824, 780, 1012, 1548, 2600, 540, 513, 5858, 568, 476, 272, 270, 277, 540, 513, 5858, 2496, 1428, 269, 280, 1428, 5392, 275, 29616, 866, 2600, 272, 2234, 1014, 568, 3160, 547, 476, 271, 269, 4817, 275, 280, 3066, 4792, 279, 4649, 272, 4391, 476, 272, 270, 277, 5858, 267, 610, 476, 1428, 269, 280, 1428, 5392, 275, 29616, 866, 2600, 780, 1012, 1215, 798, 596, 2328, 606, 3830, 585, 513, 5858, 3113, 2496, 763, 4099, 268, 31709, 1106, 540, 519, 5858, 3830, 568, 538, 519, 3898, 630, 343, 1107, 554, 264, 273, 1341, 630, 344, 1107, 737, 264, 273, 815, 678, 273, 267, 609, 519, 4099, 1373, 693, 519, 1448, 630, 327, 267, 737, 264, 543, 519, 8953, 1373, 968, 337, 892, 780, 1012, 1548, 616, 519, 476, 277, 2010, 540, 11708, 2496, 17843, 2010, 540, 11708, 18118, 3113, 269, 7412, 11708, 9414, 875, 1644, 1239, 2242, 936, 513, 1808, 1974, 540, 942, 269, 2560, 4446, 3113, 269, 4446, 11708, 2709, 513, 2241, 1259, 547, 5635, 25948, 2418, 540, 1022, 2186, 267, 1519, 6427, 1559, 267, 1895, 7306, 543, 2883, 11236, 269, 2560, 476, 274, 1547, 11625, 1748, 269, 2560, 2876, 6945, 269, 2560, 9351, 3113, 269, 2560, 2480, 2660, 4729, 780, 1012, 1548, 568, 513, 5858, 3113, 585, 3214, 2496, 288, 5858, 3113, 568, 513, 3113, 538, 519, 3337, 540, 513, 5858, 602, 2982, 1114, 2694, 269, 3962, 851, 540, 513, 5858, 3113, 4564, 513, 1114, 7121, 269, 1411, 666, 946, 513, 5858, 3113, 547, 11617, 5635, 519, 2694, 547, 519, 2898, 267, 543, 519, 2694, 547, 1142, 824, 269, 589, 3677, 851, 1797, 602, 519, 7121, 6719, 676, 602, 851, 568, 811, 1455, 780, 1012, 1772, 513, 2650, 5750, 543, 513, 5858, 3113, 519, 1482, 3364, 2496, 288, 5858, 3113, 270, 9225, 5750, 568, 513, 1259, 540, 28388, 513, 1305, 540, 28547, 1239, 610, 18071, 519, 1114, 2418, 540, 513, 2016 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3282, 269, 634, 32329, 5912, 539, 689, 513, 2757, 4346, 547, 519, 2413, 2518, 4346, 538, 1447, 982, 3368, 513, 2540, 267, 2705, 267, 519, 4028, 2804, 2208, 4547, 827, 8739, 20300, 10593, 1519, 513, 15295, 19261, 538, 799, 32329, 4182, 1023, 17663, 1447, 982, 476, 736, 4939, 540, 519, 2698, 2551, 543, 1152, 827, 476, 1015, 4939, 540, 519, 13781, 269, 667, 1392, 2305, 3646, 941, 1128, 21114, 689, 519, 2038, 2395, 540, 3084, 1436, 547, 1450, 519, 2197, 547, 2226, 513, 25133, 4346, 1256, 1310, 519, 3282, 19614, 3247, 13576, 269, 12658, 518, 958, 14102, 1857, 1568, 543, 3573, 5989, 1646, 3177, 519, 2609, 2877, 547, 1711, 513, 2922, 543, 10694, 960, 543, 2713, 1604, 602, 24643, 1870, 1004, 267, 14666, 267, 543, 1163, 27074, 622, 5520, 689, 17521, 1472, 519, 8608, 269, 17912, 1212, 9749, 723, 1031, 519, 32329, 607, 20457, 585, 1134, 8153, 24299, 269, 22505, 532, 2621, 267, 30145, 267, 1148, 2982, 267, 543, 824, 9913, 616, 4371, 538, 1158, 1362, 28503, 1472, 519, 2197, 538, 1840, 547, 3872, 19014, 267, 29468, 267, 543, 2866, 6030, 269, 14579, 5092, 7888, 2804, 4507, 5916, 609, 519, 10661, 540, 1863, 22271, 821, 2127, 723, 9415, 29505, 3549, 540, 782, 7306, 547, 1305, 909, 6237, 32387, 610, 22071, 538, 519, 32329, 269, 4634, 1498, 519, 32329, 8188, 2591, 267, 538, 513, 30223, 3148, 11303, 676, 17521, 7680, 2804, 24187, 543, 2152, 1644, 547, 19514, 3892, 540, 5763, 267, 519, 32329, 6763, 607, 1383, 540, 22371, 543, 13884, 563, 30531, 974, 2845, 2102, 27119, 521, 747, 32489, 267, 19804, 2098, 1872, 836, 1990, 340, 10523, 655, 769, 327, 5306, 1990, 340, 2144, 15595, 1084, 454, 306, 773, 544, 7238, 577, 1084, 2098, 1872, 836, 1990, 340, 10523, 655, 769, 327, 5306, 2144, 15595, 1084, 286, 667, 2335, 1217, 328, 7967, 27119, 521, 747, 15191, 345, 339, 3331, 376, 828, 796, 572, 516, 21277, 330, 974, 912, 6781, 323, 592, 19207, 2006, 267, 589, 269, 630, 1001, 274, 1040, 1325, 21553, 5953, 337, 5953, 339, 535, 13682, 555, 5953, 330, 4275, 16481, 3534, 383, 361, 3873, 281, 620, 3620, 599, 520, 620, 268, 6359, 339, 9874, 685, 12011, 1695, 630, 763, 900, 29521, 538, 519, 3965, 540, 922, 14930, 543, 20766, 1040, 26512, 667, 4725, 328, 281, 10507, 323, 541, 520, 563, 25105, 24703, 267, 589, 1421, 1325, 305, 739, 600, 8643, 267, 715, 1421, 1299, 15623, 267, 674, 269, 630, 1001, 272, 1040, 8490, 513, 4182, 267, 476, 2412, 13012, 540, 519, 32329, 538, 5961, 269, 29903, 281, 1325, 715, 529, 337, 23255, 563, 2704, 6363, 1695, 574, 267, 631, 269, 630, 1960, 276, 1040, 3245, 986, 7714, 547, 13284, 1127, 281, 589, 1650, 540, 26512, 667, 4725, 328, 269, 5507, 281, 5507, 4741, 540, 6259, 5525, 563, 2704, 29841, 553, 574, 328, 267, 590, 269, 630, 2735, 279, 1040, 634, 7242, 540, 533, 16820, 538, 519, 13323, 630, 273, 526, 1196, 12175, 1715, 3840, 267, 12924, 281, 30296, 563, 2704, 29841, 553, 574, 328, 267, 590, 269, 630, 1001, 273, 1040, 26588, 26400, 5794, 13749, 281, 9737, 5101, 543, 4639, 269, 26588, 26400, 281, 1325, 1627, 553, 574, 328, 23549, 563, 2704, 4149, 611, 2378, 344, 267, 631, 269, 630, 1001, 271, 267, 5412, 476, 272, 1040, 32329, 3282, 547, 632, 10968, 538, 476, 3583, 1296, 269, 2506, 29521, 476, 2190, 270, 278, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 655, 29521, 26316, 2593, 11486, 5350, 27160, 1595, 344, 1922, 12099, 270, 340, 2801, 268, 11798, 3562, 31398, 8541, 2987, 268, 3583, 26188, 268, 1001, 271, 268, 1321, 268, 4905, 268, 272, 269, 26825, 6795, 275, 454, 2704, 4149, 599, 324, 724, 267, 674, 269, 630, 1960, 279, 1040, 8585, 31008, 779, 1909, 538, 513, 4657, 2486, 281, 634, 2013, 540, 29903, 267, 476, 5002, 271, 1700, 3445, 269, 5664, 5101, 5525, 267, 4097, 263, 272, 1070, 476, 9262, 1700, 9083, 269, 9061, 8269, 454, 2704, 4149, 599, 324, 724, 267, 674, 269, 630, 1220, 272, 1040, 6468, 543, 2804, 2242, 538, 519, 6259, 13323, 281, 634, 2013, 540, 519, 2136, 6259, 2506, 29521, 269, 6226, 652, 540, 5664, 5101, 5525, 630, 291, 6865, 2464, 1070, 1015, 263, 273, 1070, 476, 1704, 1700, 3066, 269, 9061, 8269, 454, 2704, 342, 11047, 328, 267, 715, 269, 630, 1001, 275, 267, 4989, 476, 2420, 1040, 21079, 519, 1297, 540, 1163, 27074, 622, 4600, 538, 519, 717, 6717, 267, 3081, 32329, 10579, 269, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 270, 340, 2801, 17320, 17922, 22812, 706, 576, 5991, 3784, 6361, 7721, 6312, 686, 622, 22086, 619, 2987, 3766, 764, 1606, 904, 268, 340, 2801, 15902, 3563, 454, 20606, 710, 267, 645, 269, 630, 1001, 275, 267, 4873, 476, 1789, 1040, 32329, 2547, 7925, 1851, 717, 6717, 2477, 547, 3282, 3902, 7771, 269, 13323, 5240, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 326, 5285, 18080, 2593, 11486, 5350, 27160, 1595, 344, 270, 340, 2801, 6122, 770, 8686, 592, 1676, 762, 268, 600, 784, 3766, 764, 28029, 1845, 3562, 268, 11798, 17376, 823, 11546, 743, 710, 268, 272, 269, 13670, 2412, 278, 272, 454, 6826, 615, 344, 267, 631, 269, 670, 269, 630, 1220, 280, 1040, 12287, 5924, 1146, 1436, 2816, 1922, 9231, 543, 28146, 7029, 547, 519, 3919, 281, 21126, 689, 519, 32329, 269, 9061, 8836, 5004, 281, 1323, 4139, 4750, 267, 1626, 263, 273, 1070, 476, 9692, 1700, 3422, 269, 9061, 8269, 454, 7692, 12027, 267, 630, 1001, 276, 267, 5988, 476, 2764, 1040, 7577, 8840, 32329, 11668, 1876, 585, 1818, 9441, 960, 1279, 3108, 269, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 11486, 5350, 9706, 5966, 1922, 12099, 270, 4818, 1415, 31771, 268, 340, 2801, 2000, 629, 712, 25237, 16519, 6194, 15041, 1943, 2465, 22086, 17489, 3620, 2293, 454, 4467, 3966, 625, 8844, 10361, 18392, 547, 29903, 269, 630, 1001, 276, 267, 5147, 1040, 29903, 267, 32329, 281, 2290, 13328, 11068, 7232, 770, 6820, 6355, 7896, 563, 291, 822, 1749, 517, 267, 595, 269, 631, 269, 630, 1220, 276, 1040, 634, 2136, 6259, 2506, 29521, 281, 589, 1353, 538, 6668, 269, 5507, 281, 22118, 928, 681, 1329, 1676, 23255, 563, 291, 984, 2125, 269, 700, 269, 630, 1001, 277, 267, 4728, 476, 279, 1040, 29874, 4655, 3762, 476, 273, 269, 275, 2929, 585, 322, 4601, 19774, 269, 25611, 281, 2136, 8315, 4400, 8189, 593, 25083, 525, 630, 7419, 295, 10135, 2567, 634, 6167, 25083, 324, 10837, 269, 12232, 693, 5291, 2517, 4178, 269, 26044, 13062, 3820, 270, 6321, 4765, 280, 4375, 280, 11258, 454, 14976, 4149, 320, 14508, 267, 670, 269, 630, 1001, 273, 1040, 6468, 543, 519, 4346, 281, 2776, 268, 11798, 13323, 2829, 269, 769, 589, 269, 661, 269, 12312, 2513, 630, 10955, 13776, 13323, 2021, 630, 653, 269, 476, 15704, 1700, 14917, 1040, 1627, 20345, 281, 2349, 334, 1682, 12064, 1627, 20345, 7690, 14539, 563, 10387, 597, 10620, 2657, 543, 8881, 12079, 619, 2048, 300, 755, 581, 14146, 539, 538, 14716, 30359, 9957, 630, 1001, 277, 267, 5147, 476, 1626, 1040, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 270, 340, 2801, 17320, 17922, 270, 655, 597, 10620, 268, 8234, 7146, 1606, 23245, 27984, 1553, 619, 2173, 755, 15515, 15041, 23903, 2987, 268, 18586, 5498, 2758, 454, 2750, 17763, 476, 1708, 271, 269, 630, 1001, 277, 1040, 24722, 3896, 585, 519, 1158, 1163, 334, 476, 1708, 271, 538, 29903, 269, 12232, 693, 5291, 2517, 10339, 334, 1708, 271, 706, 321, 2967, 269, 2801, 270, 20880, 270, 10339, 334, 1708, 271, 269, 5684, 343, 454, 293, 320, 1506, 267, 631, 269, 630, 1001, 277, 267, 4873, 476, 1789, 1040, 5890, 334, 476, 1708, 271, 3785, 1305, 547, 1683, 12905, 8323, 585, 29903, 779, 25255, 269, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 11486, 5350, 24579, 704, 1399, 270, 10339, 334, 268, 1708, 271, 3491, 915, 338, 1606, 564, 3562, 4491, 728, 6066, 569, 3146, 331, 3971, 16519, 268, 706, 9346, 529, 9762, 847, 832, 454, 293, 1716, 663, 525, 267, 918, 269, 630, 1220, 276, 267, 5412, 476, 2764, 1040, 21035, 543, 10240, 16072, 8874, 8929, 538, 32329, 538, 476, 1001, 276, 269, 10609, 1446, 324, 329, 8648, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 16223, 1446, 324, 329, 9392, 2593, 11305, 640, 9392, 30032, 7308, 2275, 640, 270, 3128, 16072, 7146, 1532, 14709, 6229, 1922, 559, 916, 6879, 582, 2987, 268, 340, 2801, 2987, 268, 1001, 276, 454, 23742, 2719, 538, 29903, 269, 630, 1001, 277, 1040, 29903, 4670, 543, 7641, 10243, 269, 12232, 693, 5291, 2517, 4178, 8807, 559, 332, 706, 321, 2967, 10993, 269, 2801, 11721, 559, 2719, 2987, 268, 706, 321, 2967, 454, 293, 6308, 23878, 267, 595, 269, 630, 1001, 277, 267, 5130, 1040, 476, 278, 9413, 2083, 4364, 1318, 1934, 538, 519, 32329, 269, 700, 990, 514, 685, 29903, 269, 12232, 693, 4179, 2517, 21754, 8114, 321, 2967, 2593, 270, 10623, 1155, 270, 278, 1606, 5585, 2173, 990, 625, 3917, 537, 2173, 599, 11399, 2173, 599, 27677, 3620, 1511, 8153, 2914, 699, 1922, 559, 4364, 28878, 268, 1877, 2987, 7308, 268, 340, 2801, 454, 2690, 22978, 548, 1013, 518, 267, 594, 1421, 8496, 328, 267, 631, 269, 570, 1421, 17286, 574, 267, 670, 1421, 1299, 31089, 1578, 267, 661, 269, 594, 269, 630, 1001, 273, 1040, 2506, 597, 520, 5314, 281, 8159, 519, 2188, 602, 3310, 519, 19684, 3664, 540, 12820, 538, 519, 32329, 269, 634, 4139, 4750, 540, 5274, 12754, 5004, 267, 2537, 263, 273, 1070, 476, 32076, 1700, 275, 2641, 269, 9061, 8269, 454, 30025, 540, 519, 8892, 269, 630, 333, 6155, 12175, 634, 4013, 22045, 540, 519, 32329, 2229, 269, 12232, 693, 5291, 2517, 326, 17922, 269, 2801, 19841, 17320, 17922, 6361, 1922, 1956, 282, 329, 338, 11970, 573, 24210, 297, 279, 288, 336, 343, 340, 295, 341, 271, 345, 342, 276, 321, 292, 336, 327, 17751, 4932, 304, 279, 294, 269, 1495, 18249, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 271, 320, 1040, 30551, 1867, 593, 2804, 543, 1514, 7516, 538, 519, 2136, 6259, 2506, 29521, 476, 1220, 280, 269, 2136, 6259, 2506, 29521, 2817, 13163, 540, 10803, 269, 12232, 693, 5291, 2517, 7699, 652, 520, 2524, 10993, 269, 2801, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 271, 321, 1040, 2136, 6259, 2506, 29521, 5075, 476, 1708, 272, 269, 8158, 689, 5291, 2517, 4178, 269, 9679, 1708, 272, 269, 2801, 7933, 5877, 338, 270, 308, 20067, 13305, 1707, 1708, 272, 5174, 549, 577, 675, 30165, 15005, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 272, 1040, 15510, 9193, 476, 1220, 277, 1700, 1001, 271, 269, 29903, 267, 32329, 281, 2136, 6259, 2506, 29521, 2817, 13163, 540, 10803, 269, 5291, 2517, 7699, 652, 520, 2524, 10993, 269, 2801, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 277, 1040, 634, 32329, 543, 2518, 3282, 3761, 269, 32329, 2377, 29983, 538, 519, 2136, 2276, 540, 3013, 3896, 269, 12232, 693, 5291, 2517, 4178, 269, 340, 2801, 268, 10603, 29983, 3820, 270, 12671, 268, 340, 2801, 19841, 1458, 270, 340, 2801, 7146, 25322, 2128, 268, 11798, 23418, 569, 454, 30025, 540, 519, 2136, 2276, 540, 3013, 630, 24433, 1040, 630, 1001, 277, 267, 5130, 476, 1626, 1040, 15048, 11341, 547, 519, 4745, 3102, 1544, 540, 2962, 968, 25363, 7695, 4303, 892, 540, 5130, 476, 1626, 267, 476, 1001, 277, 269, 12754, 4741, 281, 2136, 2276, 4972, 540, 27308, 269, 7046, 294, 990, 3896, 269, 12232, 693, 4179, 2517, 4178, 6745, 516, 21204, 10993, 270, 637, 1830, 7266, 518, 4882, 534, 2388, 270, 3682, 31810, 18025, 1137, 270, 597, 534, 269, 5684, 343, 454, 3891, 731, 5174, 5674, 267, 674, 269, 630, 1220, 272, 1040, 634, 17174, 2486, 540, 519, 32329, 543, 922, 2757, 4346, 269, 769, 1325, 2806, 539, 267, 594, 269, 1299, 4477, 569, 518, 267, 623, 269, 630, 32295, 13776, 2136, 6259, 2506, 29521, 281, 589, 1007, 5133, 630, 653, 269, 476, 7176, 1700, 14138, 1040, 5507, 281, 2558, 1211, 4964, 563, 3891, 731, 5174, 5674, 267, 674, 269, 630, 1220, 276 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 454, 1892, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 279, 343, 1341, 476, 275, 270, 476, 274, 815, 476, 273, 343, 910, 476, 279, 270, 476, 274, 815, 476, 279, 343, 1341, 476, 275, 815, 476, 273, 343, 910, 476, 279, 815, 476, 279, 343, 910, 476, 273, 343, 815, 910, 279, 910, 476, 275, 815, 476, 277, 343, 815, 910, 1321, 815, 476, 277, 343, 270, 277, 815, 910, 1321, 270, 277, 1535, 815, 910, 273, 454, 1892, 654, 8582, 454, 1892, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 279, 343, 1341, 476, 275, 270, 476, 274, 815, 476, 273, 343, 910, 476, 279, 270, 476, 274, 815, 476, 279, 343, 1341, 476, 275, 815, 476, 273, 343, 910, 476, 279, 815, 476, 279, 343, 910, 476, 273, 343, 815, 910, 279, 910, 476, 275, 815, 476, 277, 343, 815, 910, 1321, 815, 476, 277, 343, 270, 277, 815, 910, 1321, 270, 277, 1535, 815, 910, 273, 454, 1892, 654, 8582, 454, 5415, 9452, 15236, 1635, 544, 684, 3122, 14378, 278, 454, 18439, 3776, 15080, 543, 6201, 692, 2521, 3776, 4033, 15750, 2572, 2439, 21900, 657, 585, 4147, 1107, 9612, 585, 3427, 4149, 12522, 267, 11300, 12780, 16071, 630, 2005, 4634, 595, 2572, 585, 1411, 26695, 30022, 11676, 878, 1107, 31418, 1176, 5269, 543, 9523, 4279, 6441, 8504, 11676, 7879, 454, 29582, 289, 5723, 312, 691, 1107, 8073, 11426, 12502, 2044, 3203, 0, 258, 8575, 5611, 277, 2913, 675, 11872, 692, 17806, 2776, 1613, 692, 7246, 5611, 277, 700, 17614, 13543, 10691, 2464, 32516, 476, 272, 667, 9281, 29052, 28718, 3201, 661, 12702, 25972, 476, 272, 269, 476, 272, 4985, 589, 1019, 286, 552, 1370, 658, 3830, 568, 606, 3830, 602, 3568, 835, 610, 811, 16755, 540, 513, 1019, 286, 552, 1370, 4192, 1599, 269, 1496, 1103, 713, 3184, 649, 4308, 1152, 609, 8723, 16692, 338, 267, 10691, 9864, 16692, 338, 269, 9948, 634, 1931, 540, 513, 546, 269, 552, 780, 529, 519, 1931, 540, 519, 3830, 779, 5207, 1931, 12045, 282, 543, 513, 546, 269, 552, 269, 568, 5276, 952, 621, 666, 581, 2322, 538, 519, 1106, 1022, 630, 333, 7565, 343, 11924, 534, 286, 476, 272, 344, 630, 333, 286, 476, 272, 7565, 343, 11924, 6440, 5788, 5788, 266, 320, 272, 344, 630, 272, 7565, 343, 11924, 320, 271, 344, 3287, 264, 815, 674, 267, 476, 272, 1141, 513, 328, 267, 476, 271, 269, 1775, 269, 562, 267, 543, 674, 616, 782, 3252, 540, 1535, 780, 2690, 1383, 267, 586, 815, 476, 276, 344, 543, 27976, 269, 5609, 1535, 815, 476, 271, 616, 269, 678, 560, 1931, 5276, 546, 269, 552, 5919, 630, 344, 264, 273, 1341, 630, 344, 264, 276, 269, 586, 815, 608, 568, 3791, 1931, 267, 22357, 269, 2171, 7747, 602, 538, 2489, 267, 513, 546, 269, 552, 780, 13757, 1082, 3435, 267, 552, 269, 575, 269, 586, 815, 5609, 1535, 1341, 524, 267, 524, 606, 17062, 3586, 267, 568, 513, 3070, 540, 586, 815, 5430, 1535, 269, 6270, 3435, 5627, 17062, 21635, 616, 1572, 2489, 3070, 540, 513, 2016, 546, 269, 552, 907, 7102, 3070, 5833, 689, 519, 2489, 3070, 676, 4758, 884, 857, 286, 524, 2418, 547, 519, 17062, 21635, 568, 1572, 513, 1880, 3070, 540, 602, 546, 780, 324, 269, 552, 269, 575, 269, 476, 273, 586, 815, 5609, 1535, 1341, 476, 272, 568, 513, 1880, 3070, 540, 586, 815, 5430, 1535, 269, 26023, 267, 1019, 286, 552, 1370, 658, 4834, 616, 12193, 1210, 5610, 267, 543, 621, 568, 2312, 602, 972, 786, 581, 607, 1082, 5043, 725, 607, 519, 1931, 540, 519, 16692, 269, 11997, 267, 5990, 717, 2894, 2207, 3201, 25663, 28513, 5508, 4888, 32671, 268, 16704, 2207, 16692, 654, 21135, 22743, 12717, 562, 8121, 289, 3951, 305, 14473, 12164, 4306, 3198, 4811, 269, 476, 272, 780, 273, 9484, 541, 762, 4834, 589, 269, 678, 560, 1931, 546, 269, 552, 269, 568, 3021, 762, 952, 621, 666, 581, 2854, 538, 519, 1106, 631, 630, 343, 1040, 715, 630, 344, 264, 344, 815, 476, 271, 610, 5973, 1836, 267, 631, 630, 343, 264, 11459, 815, 715, 630, 344, 264, 11276, 269, 1879, 649, 2328, 519, 476, 274, 546, 269, 552, 269, 538, 713, 1106, 267, 649, 2161, 602, 649, 723, 9674, 519, 4632, 267, 1317, 3388, 5473, 1535, 568, 593, 835, 2427, 267, 543, 3388, 5473, 586, 568, 593, 519, 824, 780, 2171, 666, 4194, 971, 513, 546, 269, 552, 269, 676, 10128, 530, 269, 678, 269, 512, 780, 343, 281, 631 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 27387, 281, 744, 14701, 630, 541, 3288, 2897, 2981, 2020, 272, 269, 12361, 744, 14701, 630, 541, 3288, 2897, 2981, 2020, 3602, 700, 314, 340, 3287, 25722, 13580, 815, 772, 3287, 29679, 264, 609, 2463, 547, 512, 454, 11693, 579, 3287, 267, 334, 6661, 343, 579, 263, 271, 6745, 6661, 334, 692, 2005, 568, 606, 708, 327, 517, 334, 613, 748, 3830, 269, 898, 991, 547, 1265, 856, 2489, 1151, 663, 1880, 1151, 780, 604, 621, 568, 513, 4378, 334, 613, 748, 3830, 267, 1175, 1360, 2653, 547, 798, 6993, 332, 594, 2953, 538, 4466, 2489, 1151, 269, 888, 6343, 568, 519, 586, 335, 263, 4820, 7781, 1151, 264, 538, 1931, 547, 1265, 772, 3287, 29679, 2020, 7661, 267, 1215, 547, 798, 11201, 3288, 2897, 2981, 547, 1265, 579, 3287, 25722, 1916, 14188, 692, 273, 269, 12315, 721, 519, 9864, 988, 333, 1017, 3830, 609, 519, 10465, 543, 3355, 1871, 2042, 269, 634, 1259, 596, 723, 621, 1175, 2306, 1100, 2631, 780, 274, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 24876, 721, 519, 9864, 988, 333, 1017, 3830, 609, 519, 10465, 543, 3355, 1871, 2042, 269, 634, 1259, 596, 723, 621, 1175, 2306, 1100, 2631, 563, 1575, 13768, 454, 321, 643, 335, 568, 579, 3287, 267, 271, 6661, 343, 579, 263, 271, 25722, 6661, 271, 692, 275, 269, 2334, 1281, 711, 948, 269, 12315, 803, 519, 3312, 3830, 1510, 2921, 519, 5487, 2897, 17992, 269, 634, 835, 596, 723, 568, 1310, 596, 3144, 519, 5487, 2897, 26306, 780, 276, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 6546, 1281, 711, 948, 269, 12315, 803, 519, 3312, 3830, 1510, 2921, 519, 5487, 2897, 17992, 269, 634, 835, 596, 723, 568, 1310, 596, 3144, 519, 5487, 2897, 26306, 563, 302, 907, 7717, 787, 692, 763, 3312, 3830, 568, 692, 308, 16282, 284, 7780, 11196, 8882, 2999, 1535, 2999, 1341, 1102, 2073, 512, 285, 271, 994, 340, 3287, 267, 271, 6661, 343, 579, 263, 271, 25722, 6661, 271, 692, 8196, 519, 585, 340, 1512, 2981, 543, 3288, 2897, 2981, 547, 4194, 713, 623, 14701, 780, 14188, 267, 634, 1657, 835, 594, 723, 568, 1310, 594, 3144, 519, 5487, 2897, 26306, 780, 277, 269, 4399, 24837, 346, 299, 4153, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 1535, 317, 273, 348, 1422, 2431, 315, 348, 815, 1422, 24837, 346, 299, 348, 1422, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 512, 348, 1422, 2431, 315, 10592, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 815, 521, 308, 3287, 29679, 264, 910, 579, 3287, 267, 271, 264, 815, 521, 308, 3287, 29679, 9984, 343, 6911, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 910, 521, 308, 3287, 29679, 264, 815, 1535, 6911, 259, 308, 3287, 29679, 264, 815, 32363, 3867, 343, 25490, 346, 338, 3686, 266, 6826, 13064, 343, 25490, 346, 338, 3686, 910, 1422, 2765, 12757, 2410, 338, 10592, 3086, 4194, 585, 1269, 288, 32390, 259, 609, 519, 2175, 2016, 780, 278, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 7445, 24837, 346, 299, 4153, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 1535, 317, 273, 348, 1422, 2431, 315, 348, 815, 1422, 24837, 346, 299, 348, 1422, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 512, 348, 1422, 2431, 315, 10592, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 815, 521, 308, 3287, 29679, 264, 910, 579, 3287, 267, 271, 264, 815, 521, 308, 3287, 29679, 9984, 343, 6911, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 910, 521, 308, 3287, 29679, 264, 815, 1535, 6911, 259, 308, 3287, 29679, 264, 815, 32363, 3867, 343, 25490, 346, 338, 3686, 266, 6826, 13064, 343, 25490, 346, 338, 3686, 910, 1422, 2765, 12757, 2410, 338, 10592, 3086, 4194, 585, 1269, 288, 32390, 259, 609, 519, 2175, 2016, 780, 3086, 594, 723, 4194, 589, 15871, 289, 454, 259, 288, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 10592, 259, 308, 3287, 29679, 264, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 299, 25490, 346, 338, 3686, 268, 324, 13064, 299, 25490, 346, 338, 3686, 348, 1496, 346, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 316, 910, 1422, 2765, 12757, 2410, 338, 21456, 8649, 594, 2953, 888, 10190, 875, 547, 798, 11201, 3288, 2897, 2981, 269, 634, 772, 3287, 29679, 264, 568, 1360, 1950, 2807, 780, 279, 269, 20323, 17397, 676, 2166, 342, 2735, 275, 454, 3086, 594, 723, 4194, 589, 15871, 289, 454, 259, 288, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 10592, 259, 308, 3287, 29679, 264, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 1496, 346, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 316, 910, 1422, 2765, 12757, 2410, 338, 21456, 8649, 594, 2953, 888, 10190, 875, 547, 798, 11201, 3288, 2897, 2981, 269, 634, 772, 3287, 29679, 264, 568, 1360, 1950, 907, 2483, 296, 1175, 7691, 602, 5310, 649, 991, 1776, 1448, 269, 1411, 3177, 579, 263, 271, 25722, 6661, 271, 269, 1772, 972, 9277, 547, 581, 1776, 835, 286, 5221, 596, 3112, 4194, 585, 589, 543, 645, 2943, 1317, 972, 568, 476, 272, 3830, 543, 1079, 26968, 985, 267, 952, 596, 1683, 835, 811, 2175, 1287, 649, 723, 476, 273, 4834, 543, 476, 273, 26968, 985, 543, 621, 1058, 4194, 780, 280, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 296, 1175, 7691, 602, 5310, 649, 991, 1776, 1448, 269, 1411, 3177, 579, 263, 271, 25722, 6661, 271, 269, 1772, 972, 9277, 547, 581, 1776, 835, 286, 5221, 596, 3112, 4194, 585, 589, 543, 645, 2943, 1317, 972, 568, 476, 272, 3830, 543, 1079, 26968, 985, 267, 952, 596, 1683, 835, 811, 2175, 1287, 649, 723, 476, 273, 4834, 543, 476, 273, 26968, 985, 543, 621, 1058, 4194, 563, 852, 952, 579, 263, 271, 25722, 6661, 271, 579, 27331, 25722, 264, 815, 271, 692, 259, 308, 3287, 29679, 264, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 299, 25490, 346, 338, 3686, 268, 324, 13064, 299, 25490, 346, 338, 3686, 348, 1496, 346, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 316, 910, 1422, 2765, 12757, 2410, 338, 4151, 0, 258, 28096, 692, 22430, 271, 5798, 30000, 646, 985, 585, 5988, 543, 4728, 269, 1284, 723, 547, 5173, 875, 1082, 646, 985, 666, 1118, 476, 22430, 271, 5798, 950, 835, 18911, 2285, 476, 273, 5798, 513, 1554, 585, 476, 6795, 2395, 780, 4910, 738, 692, 338, 815, 476, 1109, 2764, 269, 279, 1691, 692, 2971, 8827, 1384, 22430, 271, 815, 521, 265, 273, 265, 6795, 692, 14093, 338, 815, 476, 22430, 271, 692, 338, 815, 476, 10204, 4962, 280, 9881, 486, 476, 2764, 269, 279, 1724, 4649, 280, 692, 15612, 730, 676, 938, 2241, 3830, 9498, 780, 32306, 721, 513, 6085, 540, 1383, 543, 922, 3070, 630, 328, 4318, 269, 952, 621, 568, 1869, 10169, 15458, 1862, 17107, 6826, 519, 1101, 547, 6085, 2439, 2971, 1677, 4194, 713, 11913, 2979, 1966, 616, 2877, 891, 1702, 689, 6128, 1384, 2710, 596, 723, 513, 5276, 3830, 610, 1062, 540, 4834, 543, 3168, 585, 922, 3070, 286, 2107, 798, 596, 723, 13392, 3830, 2496, 1012, 8921, 2147, 1806, 1384, 272, 269, 19529, 839, 454, 273, 17944, 2285, 476, 273, 5798, 538, 476, 273, 2395, 269, 1215, 1082, 5798, 666, 2285, 476, 279, 17944, 585, 476, 279, 2395, 888, 273, 269, 15272, 3950, 454, 312, 1926, 3950, 689, 670, 6425, 330, 5451, 667, 14243, 3630, 9366, 547, 645, 13089, 5451, 15662, 510, 339, 807, 341, 333, 3821, 799, 9307, 23545, 566, 13631, 9645, 2923, 3007, 543, 1857, 11685, 267, 814, 1942, 476, 277, 269, 274, 20789, 829, 21027, 543, 8907, 476, 1724, 21347, 829, 21027, 269, 12433, 2450, 540, 24307, 547, 7552, 1895, 540, 476, 2764, 563, 274, 269, 5565, 10945, 454, 10521, 10945, 4171, 5011, 616, 538, 519, 5223, 476, 276, 281, 273, 723, 2040, 540, 922, 829, 12281, 476, 10463, 4699, 269, 12433, 519, 2040, 540, 1858, 713, 1079, 10945, 563, 275, 269, 13067, 6804, 1546, 345, 3187, 454, 295, 558, 6804, 1546, 385, 378, 14150, 814, 476, 280, 11113, 538, 29075, 281, 12433, 519, 1871, 540, 922, 7221, 543, 5173, 875, 1082, 14569, 540, 9174, 585, 476, 271, 269, 4649, 661, 7838, 666, 646, 4444, 563, 276, 269, 28688, 454, 299, 525, 12340, 11751, 476, 279, 1482, 669, 4377, 919, 585, 476, 1626, 20195, 269, 1215, 1082, 20789, 338, 786, 646, 2628, 585, 476, 1839, 669, 4377, 919, 888, 277, 269, 20676, 626, 454, 288, 7814, 626, 10596, 476, 6434, 5998, 538, 476, 275, 3108, 269, 1215, 1082, 12919, 646, 1780, 538, 476, 279, 3108, 888, 278, 269, 25513, 454, 1692, 1082, 2053, 596, 666, 10208, 519, 1297, 476, 275, 689, 519, 1297, 476, 5038, 888, 279, 269, 7956, 9248, 454, 5475, 2638, 540, 9499, 1336, 602, 1169, 476, 1015, 6253, 1837, 1058, 581, 32585, 269, 8625, 476, 6812, 9499, 941, 32585, 269, 1215, 1082, 9499, 941, 538, 6006, 1354, 32585, 543, 875, 1082, 1310, 32585, 888, 280, 269, 19949, 454, 10521, 7314, 9575, 1079, 8983, 538, 1079, 2395, 269, 1215, 1082, 544, 11817, 786, 6952, 476, 277, 7314, 585, 476, 277, 2395, 888, 1015, 269, 19656, 543, 11078, 454, 2691, 594, 729, 476, 279, 267, 1250, 11078, 729, 476, 275, 267, 1631, 594, 993, 476, 1240, 267, 875, 2025, 568, 1250, 11078, 888, 1556, 269, 14520, 751, 476, 273, 454, 2252, 476, 274, 339, 268, 278, 284, 276, 339, 267, 1287, 476, 277, 339, 23751, 1321, 269, 645, 4459, 2597, 454, 763, 15839, 22179, 476, 273, 4846, 543, 513, 3368, 20398, 269, 1215, 1454, 1281, 835, 15839, 9260, 888, 1724, 269, 8422, 7314, 454, 2252, 1614, 7314, 3548, 1614, 8983, 538, 1614, 3764, 267, 1310, 799, 942, 476, 18605, 7314, 3548, 476, 18605, 8983, 888, 1691, 269, 6555, 529, 2225, 454, 3674, 519, 1297, 476, 278, 8618, 5400, 273, 4010, 16883, 676, 476, 280, 286, 630, 1492, 1267, 568, 519, 8870, 543, 5924, 14230, 568, 4642, 994, 1428, 269, 3933, 4486, 454, 12507, 4486, 8593, 538, 476, 2537, 7397, 2620, 1134, 269, 5272, 1554, 621, 6172, 2125, 476, 274, 7397, 267, 693, 3781, 621, 12628, 1394, 676, 476, 273, 544, 269, 2201, 1018, 1554, 621, 4991, 856, 689, 519, 1134, 888, 1626, 269, 5709, 3512, 454, 306, 877, 1826, 540, 3053, 3512, 7472, 513, 1297, 540, 9755, 538, 513, 3099, 540, 15004, 609, 1114, 1543, 540, 3742, 6219, 269, 13268, 476, 272, 281, 2882, 476, 2568, 21447, 540, 476, 7785, 8406, 540, 3742, 6219, 829, 3640, 1942, 476, 280, 20195, 269, 13268, 476, 273, 281, 2882, 476, 5611, 21447, 540, 476, 4335, 8406, 540, 3742, 1016, 454, 1704, 269, 898, 568, 14328, 888, 23917, 540, 1079, 540, 519, 7285, 538, 513, 6906, 616, 281, 14668, 284, 8099, 4113, 267, 16061, 284, 2412, 4113, 269, 1772, 621, 513, 1318, 6906, 286, 0, 1012, 17918, 17438, 281, 7089, 540, 20518, 1903, 1535, 17438, 829, 17392, 692, 29479, 17438, 543, 7089, 540, 20518, 1903, 1535, 17438, 829, 17392, 634, 18763, 17438, 8865, 585, 17918, 17438, 3767, 267, 1577, 779, 979, 1394, 547, 519, 1383, 689, 519, 3105, 2985, 267, 799, 649, 666, 556, 874, 19189, 607, 713, 281, 2252, 513, 11777, 568, 1166, 5792, 2947, 2053, 267, 1018, 568, 519, 17438, 602, 621, 786, 2244, 593, 1261, 6758, 1152, 2899, 286, 6546, 3947, 721, 513, 2560, 3367, 2859, 692, 1012, 968, 4263, 2274, 770, 892, 10819, 538, 17918, 17438, 692, 2108, 4263, 2274, 770, 892, 10819, 538, 17918, 17438, 19850, 267, 3314, 875, 782, 519, 11525, 3809, 723, 547, 581, 8454, 1447, 982, 835, 286, 594, 1611, 267, 1310, 782, 267, 621, 779, 21230 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 262, 4939, 1775, 585, 1775, 538, 2039, 263, 736, 4297, 2020, 560, 21606, 18134, 16597, 18134, 269, 5882, 269, 14683, 2775, 26174, 263, 9471, 284, 271, 264, 9239, 258, 7696, 2609, 856, 540, 1931, 454, 560, 269, 3667, 3488, 1607, 786, 2408, 1101, 5073, 258, 2561, 1742, 930, 1257, 547, 519, 813, 780, 3240, 5334, 14309, 272, 815, 588, 269, 24105, 4590, 258, 2561, 1742, 606, 8900, 18921, 547, 519, 813, 269, 1284, 3513, 946, 713, 2663, 780, 3240, 5334, 14309, 273, 815, 588, 269, 24105, 4590, 258, 2561, 1742, 1776, 8900, 18921, 780, 560, 269, 3667, 3488, 1607, 786, 2408, 2063, 5073, 258, 2561, 1742, 930, 811, 1257, 547, 519, 813, 780, 3240, 5334, 14309, 272, 269, 3667, 3488, 1607, 786, 2408, 2034, 5073, 258, 1234, 17541, 519, 1101, 8900, 18921, 609, 513, 1257, 5569, 780, 3240, 5334, 14309, 273, 269, 1467, 15220, 691, 18828, 20179, 20120, 333, 263, 736, 267, 476, 273, 4917, 258, 1234, 17541, 519, 2034, 8900, 18921, 609, 513, 5750, 563, 692, 2889, 28698, 318, 8663, 815, 588, 269, 2889, 28698, 263, 271, 994, 560, 9850, 26748, 815, 588, 269, 24105, 4590, 24577, 815, 588, 269, 1467, 15220, 691, 18828, 20179, 20120, 333, 263, 1015, 267, 476, 273, 11723, 1721, 1775, 538, 2039, 263, 1911, 2187, 825, 1948, 22352, 3356, 3046, 563, 825, 3356, 318, 8663, 269, 2889, 28698, 9217, 2020, 825, 1007, 318, 4900, 815, 5286, 20179, 20120, 333, 263, 1015, 267, 476, 273, 2020, 825, 1948, 22352, 4567, 1257, 563, 825, 4567, 26748, 269, 3667, 18692, 1038, 1412, 763, 5767, 4351, 1297, 568, 281, 4939, 338, 262, 4939, 1007, 318, 4900, 15631, 272, 267, 476, 272, 20285, 825, 1948, 2561, 754, 1239, 547, 519, 5750, 563, 825, 5750, 14491, 318, 4900, 28956, 318, 4900, 2020, 825, 1948, 23239, 754, 649, 2811, 3257, 930, 19106, 602, 3217, 942, 563, 825, 942, 4732, 2748, 263, 271, 269, 272, 2020, 560, 9850, 26748, 269, 3667, 3488, 291, 821, 256, 5073, 560, 269, 4252, 9398, 10797, 5814, 11885, 607, 5286, 454, 5814, 942, 692, 258, 5192, 930, 1239, 563, 11907, 815, 5286, 20179, 20120, 333, 263, 1015, 267, 476, 273, 2020, 258, 8058, 519, 1239, 607, 513, 5750, 563, 24577, 815, 588, 269, 1467, 15220, 691, 16597, 2020, 258, 27016, 476, 272, 2034, 267, 865, 519, 1689, 568, 20501, 563, 5503, 4732, 2748, 263, 272, 2020, 258, 3400, 321, 930, 811, 1239, 563, 11907, 273, 815, 5286, 20179, 20120, 333, 263, 1015, 267, 476, 273, 2020, 258, 2561, 754, 519, 1007, 1239, 547, 519, 4540, 5750, 563, 24577, 14491, 318, 4900, 16597, 273, 264, 0, 258, 596, 666, 2328, 547, 31901, 719, 585, 3181, 19982, 5301, 267, 552, 3052, 563, 258, 1820, 2891, 10472, 568, 513, 3181, 1872, 5048, 5602, 5814, 2979, 692, 3698, 3070, 18217, 2187, 825, 1948, 2328, 707, 3009, 538, 5124, 476, 274, 269, 277, 22562, 825, 1948, 1820, 2891, 10472, 568, 513, 3181, 1872, 5048, 5602, 8931, 825, 10822, 815, 11713, 8931, 825, 678, 815, 715, 454, 825, 1247, 678, 13843, 476, 272, 10778, 1038, 544, 815, 678, 4939, 476, 273, 454, 1038, 678, 815, 2979, 269, 28776, 263, 678, 1315, 476, 273, 12467, 13872, 1038, 10822, 6910, 9852, 994, 13872, 825, 3193, 14682, 777, 815, 476, 271, 454, 825, 10917, 14682, 777, 815, 476, 271, 454, 672, 3097, 825, 533, 815, 476, 271, 454, 825, 585, 536, 538, 10822, 10778, 1038, 952, 533, 2652, 476, 272, 543, 536, 2652, 476, 271, 10778, 2018, 10917, 14682, 777, 6834, 476, 272, 454, 1038, 952, 533, 2652, 476, 271, 543, 536, 2652, 476, 272, 10778, 2018, 952, 10917, 14682, 777, 3436, 3193, 14682, 777, 10778, 3546, 3193, 14682, 777, 815, 10917, 14682, 777, 454, 4449, 454, 2018, 10917, 14682, 777, 815, 476, 271, 28329, 1038, 952, 10917, 14682, 777, 13843, 476, 272, 543, 536, 2652, 476, 271, 543, 533, 2652, 476, 271, 10778, 2018, 10917, 14682, 777, 6834, 476, 272, 454, 27030, 1038, 1948, 1820, 9497, 321, 568, 2433, 2580, 536, 994, 13872, 1038, 533, 815, 536, 22562, 13872, 825, 1948, 1820, 18217, 267, 834, 9352, 1871, 568, 14307, 10822, 264, 3097, 825, 1948, 1820, 2891, 10946, 14682, 777, 568, 14307, 3193, 14682, 777, 264, 3097, 8931, 825, 2132, 3193, 14682, 777, 7531, 2745, 4433, 1828, 263, 1428, 4917, 2745, 4433, 1828, 263, 18891, 7906, 4917, 2745, 4433, 1828, 263, 28638, 10219, 272, 4917, 2745, 4433, 1828, 263, 18891, 276, 4792, 272, 4297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7640, 525, 1454, 547, 519, 834, 339, 718, 2389, 1446, 257, 2245, 912, 11990, 8361, 1765, 515, 3081, 547, 1010, 8575, 543, 14529, 912, 257, 7476, 513, 20645, 540, 24061, 25468, 563, 296, 1616, 547, 1376, 1318, 267, 899, 513, 646, 17907, 1126, 2676, 1492, 3781, 602, 594, 993, 4535, 30882, 9827, 11495, 547, 519, 4354, 1807, 538, 519, 2773, 568, 519, 8994, 6667, 799, 4386, 1063, 10564, 543, 12372, 267, 543, 519, 2963, 602, 1312, 2721, 593, 2757, 3864, 543, 12563, 3029, 912, 763, 3860, 20949, 538, 519, 2098, 21343, 11833, 454, 548, 2355, 689, 31674, 14833, 781, 17534, 547, 29838, 6181, 338, 262, 11263, 2676, 3697, 519, 3167, 3595, 689, 519, 12269, 454, 2507, 602, 1025, 4240, 519, 7934, 1063, 454, 29445, 4802, 781, 1883, 543, 1010, 2274, 344, 6577, 20220, 563, 1607, 834, 17763, 564, 781, 21649, 257, 519, 4354, 1807, 7125, 513, 834, 322, 3300, 4812, 1315, 1496, 1993, 316, 13889, 543, 11348, 1701, 3571, 3007, 6212, 267, 1985, 267, 593, 519, 2078, 1851, 3309, 7574, 3029, 267, 543, 646, 782, 26360, 547, 835, 3943, 5856, 781, 7920, 1353, 540, 3109, 2575, 912, 302, 5289, 267, 960, 5152, 267, 986, 326, 5503, 267, 21462, 15690, 1765, 454, 1492, 15292, 267, 9076, 4068, 267, 1135, 6390, 267, 543, 530, 5306, 345, 2336, 310, 5893, 547, 513, 27803, 454, 1492, 4332, 540, 513, 21462, 2676, 18478, 1656, 28584, 717, 728, 781, 454, 3891, 2074, 262, 973, 1388, 7475, 609, 3627, 8361, 781, 678, 826, 995, 6602, 602, 10168, 543, 922, 2360, 2291, 10876, 538, 3013, 281, 834, 262, 296, 3357, 547, 22255, 2135, 22971, 267, 1315, 855, 594, 1265, 909, 1934, 513, 645, 3558, 6807, 267, 1932, 10590, 1323, 14969, 5385, 540, 5784, 593, 10168, 543, 593, 930, 2123, 2042, 5205, 269, 1261, 2074, 568, 1500, 3592, 26525, 676, 1018, 646, 3705, 1206, 607, 14710, 1143, 267, 610, 693, 519, 1360, 2547, 607, 606, 14432, 840, 21232, 566, 609, 519, 2042, 540, 1373, 3109, 269, 3571, 3803, 6085, 267, 834, 262, 7069, 1004, 267, 1315, 1250, 1004, 1765, 1315, 789, 917, 711, 1018, 789, 798, 10086, 257, 15069, 30172, 2441, 781, 856, 322, 787, 1175, 1354, 1010, 2669, 269, 22682, 267, 789, 723, 711, 6956, 1261, 2074, 538, 519, 2631, 646, 5497, 267, 964, 3931, 267, 3592, 6157, 267, 602, 3627, 8361, 781, 1650, 581, 606, 31369, 2203, 540, 16608, 543, 2123, 8699, 563, 3891, 2074, 568, 519, 1641, 540, 513, 6825, 569, 552, 592, 690, 2065, 6648, 2914, 603, 514, 8584, 1790, 334, 655, 9497, 308, 27432, 19823, 835, 540, 513, 3126, 540, 1915, 25780, 1572, 519, 31222, 966, 793, 22863, 543, 11911, 547, 631, 3563, 10060, 802, 269, 22388, 532, 18573, 781, 17181, 540, 15023, 689, 519, 4998, 1533, 267, 10060, 802, 31234, 602, 519, 10564, 267, 538, 1880, 1261, 2074, 267, 568, 11613, 1898, 547, 1022, 1533, 912, 5522, 6737, 781, 9186, 786, 711, 536, 4314, 2676, 5228, 1010, 6243, 2676, 1492, 2022, 31444, 622, 540, 22255, 2135, 22971, 2507, 563, 1805, 10225, 8098, 3931, 569, 10530, 1261, 2074, 262, 18349, 540, 519, 2856, 602, 5159, 616, 11613, 9813, 730, 689, 2486, 781, 2418, 543, 8456, 912, 21202, 960, 540, 1148, 568, 513, 1079, 17574, 8265, 2676, 2254, 513, 4666, 1439, 2676, 3602, 606, 7376, 543, 513, 12048, 3122, 2743, 4799, 3891, 2074, 568, 26916, 585, 18468, 538, 6422, 543, 18497, 1148, 3029, 267, 585, 1010, 834, 339, 4048, 545, 10687, 545, 257, 2039, 267, 1010, 9644, 543, 11348, 267, 543, 1010, 3661, 602, 1106, 543, 1543, 616, 538, 29323, 762, 912, 10454, 1106, 543, 1543, 538, 513, 4605, 610, 513, 5152, 454, 29019, 11100, 899, 519, 24008, 538, 513, 16702, 628, 784, 4799, 3891, 2074, 267, 945, 2663, 16976, 646, 814, 4862, 2614, 540, 524, 2106, 6291, 543, 21817, 267, 30242, 547, 2328, 513, 6648, 602, 786, 723, 3532, 1514, 4539, 912, 10454, 2578, 27812, 540, 519, 661, 2006, 322, 11692, 1160, 17474, 454, 2026, 519, 4658, 781, 7313, 564, 2676, 296, 4927, 25264, 1125, 513, 6249, 602, 786, 4224, 519, 13780, 2336, 4517, 1169, 2481, 2740, 1133, 12677, 786, 917, 621, 30882, 291, 1503, 569, 605, 323, 3429, 1261, 2074, 593, 267, 519, 4354, 1807, 267, 7654, 16079, 532, 654, 269, 670, 269, 10748, 523, 267, 1309, 1903, 1864, 547, 834, 262, 8145, 1897, 1315, 513, 17174, 1884, 1335, 1315, 568, 519, 586, 534, 27365, 1673, 22259, 546, 1497, 540, 513, 5707, 1479, 9538, 1261, 2074, 267, 733, 3319, 6681, 540, 2417, 524, 2106, 6291, 267, 22316, 547, 973, 924, 834, 763, 7256, 6874, 31103, 543, 519, 1744, 1046, 2437, 513, 3440, 611, 10503, 519, 1259, 513, 4262, 14854, 267, 950, 15179, 539, 9800, 267, 666, 804, 1177, 543, 15237, 693, 519, 16356, 781, 7181, 2394, 646, 2306, 454, 257, 20130, 1259, 547, 5191, 2676, 2041, 3219, 519, 13481, 4158, 2676, 2041, 3219, 519, 7181, 6821, 454, 1993, 519, 16356, 4799, 22746, 15112, 11244, 1219, 4800, 19595, 693, 2547, 835, 812, 540, 19863, 324, 21025, 599, 781, 834, 2252, 1284, 18771, 12603, 2437, 543, 519, 946, 11788, 10579, 26235, 1500, 540, 621, 538, 1010, 4674, 547, 2182, 523, 3703, 8990, 693, 513, 1970, 1448, 538, 2622, 2782, 4083, 269, 634, 6648, 646, 973, 2572, 543, 519, 4704, 547, 21025, 599, 781, 834, 2252, 1284, 18771, 12603, 257, 616, 1261, 2074, 262, 1259, 540, 7682, 532, 1010, 3661, 602, 6965, 568, 4105, 547, 18495, 538, 782, 2053, 282, 1261, 2074, 7551, 1201, 2373, 519, 4354, 1807, 781, 25195, 269, 634, 4354, 1807, 32625, 602, 1261, 2074, 1185, 2760, 1354, 4847, 1866, 547, 2671, 538, 519, 5137, 540, 513, 6648, 267, 2760, 1354, 834, 3847, 519, 1591, 541, 7450, 1315, 540, 1010, 1148, 513, 21186, 1701, 1261, 2074, 267, 32047, 267, 538, 606, 3801, 547, 2491, 519, 1184, 543, 1587, 540, 5137, 267, 19776, 873, 547, 454, 257, 2507, 513, 627, 648, 4758, 4332, 454, 1729, 513, 533, 11069, 781, 5067, 267, 4354, 1807, 267, 593, 513, 2083, 20321, 844, 2830, 563, 263, 1103, 911, 341, 841, 513, 4807, 2982, 1100, 1129, 540, 16203, 4700, 4840, 3891, 1202, 1235, 602, 782, 1148, 568, 10416, 519, 1587, 540, 834, 2946, 17427, 4105, 2437, 519, 2283, 2225, 781, 3210, 547, 10462, 543, 8731, 618, 912, 257, 28646, 267, 9811, 267, 6148, 2676, 534, 7376, 781, 911, 341, 841, 568, 899, 454, 320, 4807, 781, 282, 543, 1200, 4816, 568, 899, 454, 320, 6648, 267, 513, 4605, 267, 513, 1623, 21620, 1765, 454, 534, 3390, 540, 519, 20527, 17427, 4105, 538, 17570, 543, 1973, 2676, 9799, 593, 513, 2909, 7999, 454, 22855, 543, 2220, 5417, 1194, 454, 517, 513, 986, 1111, 540, 1272, 543, 8032, 899, 513, 2243, 1665, 4799, 763, 8561, 538, 519, 6609, 593, 1928, 543, 513, 2067, 1184, 799, 1590, 2196, 519, 2407, 1576, 4440, 4016, 547, 519, 3747, 602, 519, 7376, 4487, 1898, 2930, 1983, 1354, 12394, 547, 1711, 269, 634, 8561, 593, 24648, 527, 22715, 543, 2695, 531, 528, 3413, 8787, 602, 5898, 666, 2097, 689, 519, 1666, 652, 3100, 532, 1919, 269, 1656, 5310, 519, 5169, 1275, 540, 782, 3020, 25704, 2306, 873, 834, 30807, 1841, 257, 538, 519, 2631, 602, 789, 9192, 4540, 5389, 883, 513, 1007, 1843, 563, 9209, 1235, 945, 798, 711, 22036, 7357, 519, 3860, 610, 1372, 531, 616, 10792, 569, 16091, 676, 1261, 2074, 269, 8409, 5159, 945, 18992, 547, 834, 262, 13232, 342, 1161, 262, 257, 3132, 834, 262, 629, 25344, 9538, 257, 634, 3515, 834, 262, 1492, 1007, 23899, 3141, 3766, 16104, 2879, 520, 3481, 1315, 689, 524, 2784, 956, 593, 519, 521, 569, 262, 257, 3100, 547, 5641, 580, 622, 1762, 15023, 945, 2328, 538, 1863, 14235, 269, 2060, 693, 2547, 930, 1582, 1606, 520, 790, 267, 646, 31782, 856, 693, 15023, 945, 1224, 547, 15690, 9311, 2939, 912, 257, 29264, 519, 705, 25344, 454, 1993, 519, 875, 331, 24376, 331, 2914, 603, 7308, 10687, 2692, 844, 2931, 3248, 1492, 2370, 3798, 23135, 808, 3949, 543, 10374, 325, 749, 3298, 2507, 4799, 2690, 865, 2110, 513, 8574, 267, 24729, 5459, 814, 16041, 621, 609, 782, 16272, 267, 930, 9425, 6654, 543, 3978, 267, 930, 3592, 6157, 11469, 2987, 19295, 2131, 269, 19395, 717, 1231, 6199, 267, 16079, 1227, 2404, 609, 713, 1895, 267, 949, 581, 519, 1034, 1134, 8153, 19468, 10564, 267, 543, 267, 11992, 538, 31222, 20155, 267, 19468, 15023, 616, 26916, 585, 5169, 1275, 267, 7115, 267, 543, 1034, 11932, 267, 585, 741, 1219, 4800, 540, 6671, 2093, 827, 1148, 269, 18999, 8725, 24806, 568, 4583, 585, 1010, 6901, 609, 15690, 9311, 2939, 585, 1857, 13220, 2429, 1010, 4876, 540, 936, 17288, 1296, 269, 24729, 5459, 1185, 519, 5207, 2543, 585, 24806, 543, 585, 1010, 960, 269, 7053, 267, 1261, 2074, 1085, 9529, 4583, 15023, 945, 15646, 8784, 741, 2038, 960, 2676, 257, 15367, 10205, 519, 2370, 454, 1506, 8455, 536, 770, 1841, 540, 741, 6107, 454, 307, 565, 5459, 5128, 14460, 1010, 2038, 2511, 1360, 22393, 267, 593, 519, 28409, 540, 19395, 570, 622, 543, 896, 519, 3310, 540, 19134, 324, 595, 8735, 267, 570, 269, 590, 269, 18379, 582, 267, 26442, 571, 623, 895, 267, 543, 6276, 20717, 576, 269, 1656, 1256, 952, 649, 14201, 1405, 5143, 865, 538, 519, 6679, 3515, 540, 834, 2419, 328, 2437, 649, 1131, 1174, 602, 1261, 2074, 7184, 14560, 782, 16048, 1148, 543, 1131, 711, 4323, 1018, 646, 2808, 4570, 17634, 610, 5647, 269, 2991, 782, 267, 646, 814, 29846, 4563, 25816, 613, 12251, 773, 267, 1085, 987, 5944, 22309, 676, 519, 3204, 757, 267, 4352, 513, 16637, 550, 1995, 585, 519, 4354, 1807, 563, 10376, 540, 519, 5159, 538, 31222, 20155, 13497, 24151, 519, 3741, 5189, 538, 834, 2704, 6495, 257, 543, 973, 777, 527, 4327, 538, 834, 29604, 1701, 21894, 859, 2812, 789, 2697, 267, 1142, 568, 21739, 23904, 269, 4256, 1568, 267, 585, 519, 1034, 851, 267, 616, 5499, 267, 3235, 937, 545, 267, 543, 1419, 1965, 582, 20143, 269, 634, 5159, 17589, 741, 2326, 543, 3029, 538, 851, 689, 519, 7525, 1604, 267, 855, 789, 849, 11760, 513, 2647, 4763, 540, 7506, 593, 741, 960, 269, 1452, 5159, 267, 4061, 267, 899, 24729, 5459, 5128, 267, 2813, 3312, 1148, 3029, 547, 2263, 543, 9446, 519, 3109, 1995, 538, 1312, 922, 1880, 543, 922, 8471, 4644, 269, 1306, 26637, 589, 269, 8845, 267, 12789, 1421, 814, 5063, 11130, 267, 24729, 5459, 267, 25453, 11875, 2581, 267, 6276, 25930, 7773, 267, 717, 342, 754, 565, 2106, 15588, 338, 267, 543, 930, 1866, 834, 10964, 784, 711, 1175, 547, 513, 2027, 6803, 2245, 855, 547, 519, 5043, 958, 1977, 9740, 538, 519, 3332, 540, 519, 1459, 942, 4799, 1607, 3296, 3568, 476, 275, 267, 280, 2537, 1913, 454, 26140, 269, 476, 1704, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 309, 2678, 753, 4658, 547, 5457, 901, 27851, 4303, 17188, 24744, 547, 1346, 945, 1705, 741, 10279, 607, 13348, 1824, 269, 898, 568, 938, 5837, 10279, 547, 1118, 873, 1745, 15874, 593, 27851, 4303, 269, 589, 1507, 3364, 547, 2307, 538, 5385, 585, 9058, 27089, 543, 22838, 269, 3509, 1296, 938, 13780, 814, 28165, 27851, 543, 1305, 11735, 513, 2027, 2483, 28205, 10617, 616, 1572, 18884, 267, 547, 7247, 649, 1058, 1796, 909, 543, 2161, 968, 628, 1678, 596, 685, 685, 585, 7863, 938, 2197, 267, 15603, 721, 917, 602, 649, 2461, 2922, 267, 543, 4758, 721, 5191, 563, 9213, 267, 938, 1762, 2367, 543, 2021, 616, 13538, 945, 4196, 693, 741, 1378, 1981, 543, 621, 779, 1419, 741, 24279, 602, 1058, 581, 28165, 267, 1317, 2483, 3963, 616, 27851, 711, 10128, 1394, 883, 2486, 609, 1390, 1967, 286, 5620, 596, 2479, 9289, 1018, 4523, 547, 27851, 2899, 789, 2132, 1394, 689, 519, 2112, 610, 689, 7674, 513, 4663, 540, 10279, 286, 1215, 814, 741, 1920, 15068, 1510, 873, 1247, 789, 941, 8854, 543, 1018, 729, 741, 1995, 2483, 3963, 594, 2561, 3285, 622, 1977, 781, 27851, 454, 4002, 5437, 476, 1556, 628, 267, 519, 2136, 2276, 540, 3013, 22842, 27851, 4303, 1169, 1032, 269, 27851, 4303, 568, 4371, 593, 519, 16683, 540, 519, 1439, 540, 2622, 2782, 594, 547, 8956, 519, 2475, 18884, 543, 9601, 540, 782, 10617, 269, 634, 18884, 616, 519, 1004, 945, 723, 1981, 539, 741, 2729, 21108, 2483, 763, 11957, 540, 27254, 15050, 454, 2108, 4263, 1169, 3444, 30030, 593, 519, 2619, 602, 5012, 547, 519, 2104, 267, 2245, 814, 5116, 476, 1015, 267, 1822 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1369, 519, 14316, 267, 834, 7312, 2178, 26430, 1131, 581, 3810, 12595, 538, 1250, 22657, 3010, 301, 344, 7974, 535, 27547, 267, 1200, 4064, 7522, 539, 607, 1352, 6743, 909, 693, 18279, 16399, 269, 2701, 5433, 13943, 609, 1010, 1913, 267, 855, 7948, 1405, 3833, 1174, 1946, 780, 297, 629, 926, 12261, 18279, 16399, 781, 20790, 547, 519, 27142, 267, 10213, 873, 602, 1346, 8348, 1223, 2951, 2066, 519, 5318, 5836, 547, 960, 585, 519, 17417, 267, 15980, 13284, 1127, 3564, 9345, 269, 2755, 930, 6829, 10761, 267, 1866, 7283, 26617, 267, 2523, 631, 342, 18553, 543, 27526, 7974, 269, 6736, 1373, 19230, 1996, 15819, 519, 7326, 540, 519, 22242, 267, 519, 5918, 334, 4956, 547, 5639, 741, 4145, 827, 22205, 971, 27290, 1689, 883, 741, 2146, 780, 2026, 3781, 8593, 2390, 918, 2727, 320, 267, 12699, 5717, 1671, 4240, 1063, 519, 27142, 3823, 519, 23071, 781, 11556, 269, 26744, 744, 706, 2998, 11542, 6109, 267, 18468, 519, 11460, 4843, 606, 4316, 585, 5763, 543, 13884, 269, 11531, 267, 631, 342, 18553, 6612, 2299, 11130, 1996, 11488, 1022, 5636, 4526, 18246, 282, 4250, 532, 14226, 543, 9668, 689, 6068, 3283, 780, 257, 3719, 1589, 827, 938, 1453, 10590, 524, 3072, 9632, 5136, 14515, 269, 834, 5445, 786, 723, 1569, 547, 2069, 267, 2029, 267, 543, 1702, 796, 515, 731, 540, 1934, 256, 1772, 602, 711, 4502, 27531, 513, 1906, 585, 12482, 8601, 1010, 4661, 3100, 532, 15626, 7620, 267, 631, 342, 18553, 1293, 1229, 267, 834, 1432, 1434, 568, 1702, 952, 6591, 998, 13587, 527, 543, 28877, 2509, 8284, 3425, 286, 1284, 3112, 15093, 13919, 585, 1570, 2065, 12374, 3010, 18600, 1944, 519, 3178, 540, 24895, 10838, 2933, 267, 519, 14643, 8815, 547, 2285, 3025, 942, 547, 2015, 1018, 1576, 540, 2962, 1655, 6039, 519, 4690, 540, 519, 3003, 8498, 269, 3683, 519, 1739, 2395, 267, 26866, 619, 4904, 519, 2011, 607, 1142, 1920, 12066, 1194, 609, 1818, 513, 3375, 269, 16828, 267, 1896, 27142, 9896, 11731, 3858, 532, 547, 13743, 31023, 20829, 18279, 16399, 781, 6928, 267, 15691, 547, 5150, 1732, 2729, 585, 2933, 543, 2104, 5481, 780, 12507, 2195, 5293, 2394, 3377, 6603, 918, 2727, 320, 602, 1346, 945, 24389, 593, 519, 3460, 2760, 8120, 269, 5502, 267, 32422, 6933, 730, 10503, 27337, 881, 2175, 28815, 676, 1346, 3196, 2685, 16487, 2066, 12084, 1765, 5443, 4421, 1055, 899, 13184, 267, 2021, 986, 6244, 543, 29041, 267, 543, 1453, 14324, 2476, 689, 3237, 269, 9710, 337, 1881, 267, 519, 6967, 27142, 7691, 1932, 3735, 519, 3020, 2470, 540, 519, 3690, 520, 23007, 32013, 11780, 780, 1103, 519, 21987, 267, 2620, 28194, 10145, 9643, 918, 2727, 320, 267, 695, 30568, 519, 26454, 4371, 15210, 676, 922, 7264, 269, 8616, 9624, 21817, 267, 4126, 7153, 269, 16645, 1137, 4478, 918, 2727, 320, 4862, 8941, 540, 519, 13249, 2621, 602, 1098, 18944, 543, 678, 718, 1221, 1927, 267, 8108, 6793, 7554, 982, 2479, 1354, 269, 8625, 267, 789, 12247, 539, 547, 2149, 835, 1776, 689, 2147, 6937, 267, 7555, 759, 5193, 1996, 16080, 11107, 5275, 547, 7443, 689, 1480, 7092, 780, 7437, 13357, 3357, 9322, 267, 2208, 267, 543, 4656, 269, 27919, 16036, 539, 607, 27142, 16545, 519, 1928, 4810, 676, 9674, 3885, 267, 27513, 2590, 3152, 17604, 10838, 2950, 269, 19078, 2055, 7282, 519, 2126, 540, 21046, 2968, 14063, 11407, 267, 20872, 9997, 5498, 31186, 20241, 540, 2757, 2853, 269, 1656, 6368, 267, 519, 6433, 13714, 730, 5499, 3435, 267, 3056, 547, 4824, 3354, 3800, 543, 23372, 12485, 950, 7231, 609, 4914, 8436, 780, 7212, 10077, 1042, 11014, 267, 918, 2727, 320, 4121, 3407, 4245, 689, 922, 5618, 7237, 609, 519, 4158, 2427, 540, 3356, 269, 1635, 5807, 8296, 267, 8699, 267, 543, 4199, 6888, 267, 519, 8498, 1336, 24176, 543, 4222, 1256, 8015, 7096, 2295, 5995, 1765, 1652, 976, 1175, 607, 4143, 2221, 607, 789, 941, 1287, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1865, 519, 1764, 540, 519, 3690, 520, 23007, 32013, 11780, 593, 3979, 7239, 543, 4529, 1282, 519, 31303, 998, 519, 13524, 5553, 888, 763, 3690, 520, 23007, 32013, 11780, 1185, 513, 14042, 1764, 593, 3979, 7239, 543, 4529, 1282, 519, 31303, 998, 519, 13524, 5553, 269, 898, 3361, 513, 1713, 5786, 538, 519, 2551, 540, 4000, 267, 7700, 547, 513, 2530, 540, 1082, 2111, 1532, 617, 1221, 2367, 543, 2021, 945, 941, 3144, 2476, 607, 10437, 269, 634, 2530, 540, 1480, 3854, 1102, 21719, 513, 1713, 9514, 593, 519, 8739, 20300, 1646, 540, 4000, 269, 8528, 763, 3690, 520, 23007, 32013, 11780, 849, 2813, 513, 1007, 2528, 540, 5208, 267, 2112, 267, 543, 17760, 29713, 538, 4000, 269, 6969, 519, 12625, 540, 17417, 267, 972, 729, 8474, 538, 4000, 855, 621, 729, 3335, 513, 1106, 540, 10751, 585, 513, 6760, 610, 513, 7963, 269, 1717, 267, 519, 10553, 4123, 2813, 513, 1007, 543, 22266, 1106, 540, 8474, 267, 1141, 1004, 941, 20665, 1759, 9003, 593, 741, 5198, 267, 22874, 267, 543, 2960, 2681, 269, 8528, 11101, 267, 519, 10553, 4123, 3361, 1713, 2686, 9552, 267, 607, 621, 9232, 692, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 7731, 7010, 7869, 281, 589, 18043, 13979, 547, 18601, 19974, 25667, 1369, 19198, 543, 17716, 692, 7072, 1384, 21609, 3125, 8377, 814, 7153, 607, 513, 1713, 1857, 1072, 6161, 5001, 267, 7133, 6634, 540, 1453, 543, 10708, 630, 302, 326, 6577, 1696, 620, 1421, 476, 1001, 275, 1040, 769, 5466, 713, 1950, 3390, 267, 3782, 4648, 1590, 2015, 1585, 2188, 7700, 547, 922, 1646, 543, 5826, 267, 1519, 4719, 32739, 267, 6197, 5079, 267, 14227, 4567, 267, 543, 2825, 7506, 269, 7324, 891, 2188, 267, 1920, 1949, 3069, 3091, 513, 3407, 5943, 585, 12497, 1944, 6689, 8377, 607, 513, 17326, 7645, 1966, 8506, 513, 11455, 1935, 269, 901, 2376, 786, 2263, 519, 4909, 3741, 540, 1920, 1949, 3797, 543, 1865, 741, 6286, 585, 7303, 543, 8156, 6689, 8377, 780, 8139, 7731, 7010, 7869, 1384, 23991, 1949, 3069, 29102, 602, 2043, 2291, 1369, 6946, 5121, 540, 3347, 6353, 676, 22524, 11163, 543, 8994, 3310, 630, 14737, 1276, 514, 267, 476, 3192, 275, 1040, 4340, 547, 713, 5133, 267, 3885, 1599, 607, 6422, 1949, 1141, 2242, 538, 835, 2460, 666, 29360, 7222, 10593, 2429, 519, 3003, 1062, 269, 9182, 267, 950, 2324, 609, 3885, 4299, 676, 6689, 8377, 267, 9439, 12561, 513, 1920, 1949, 1935, 2832, 547, 2697, 3270, 540, 5872, 602, 949, 3565, 547, 32277, 28922, 5615, 543, 3895, 8902, 8925, 780, 7659, 16610, 538, 7731, 7010, 10657, 1384, 272, 269, 21940, 2456, 912, 289, 895, 2456, 3277, 547, 519, 7182, 543, 3652, 12044, 4205, 1063, 1920, 2818, 269, 1358, 3313, 945, 568, 3769, 538, 519, 1062, 267, 875, 1454, 3929, 3845, 6818, 1063, 2043, 267, 543, 1018, 5615, 616, 2808, 11807, 269, 769, 3885, 7231, 609, 6689, 8377, 267, 14461, 6302, 1522, 2061, 1930, 2792, 827, 2597, 4145, 267, 1247, 15449, 762, 6302, 1223, 1267, 538, 679, 6996, 327, 618, 543, 7411, 23243, 1367, 2115, 689, 7104, 3283, 780, 273, 269, 28762, 8944, 912, 295, 1512, 1105, 673, 3889, 5581, 5107, 543, 9021, 1369, 3885, 267, 4180, 2312, 5718, 543, 5583, 269, 1879, 25327, 1831, 22314, 267, 10539, 543, 14784, 949, 1671, 826, 267, 1818, 621, 2352, 585, 3885, 547, 2232, 2591, 3927, 269, 1280, 3236, 267, 3237, 10010, 609, 741, 1378, 2597, 2152, 1522, 15995, 6510, 6392, 547, 741, 1453, 267, 3056, 547, 4057, 8192, 6208, 543, 25161, 19824, 780, 274, 269, 7756, 2747, 912, 17843, 2747, 4016, 547, 519, 2702, 540, 1920, 2818, 547, 2226, 741, 13190, 1247, 6967, 4448, 547, 1866, 269, 4400, 2157, 540, 15285, 5512, 2043, 547, 8190, 2189, 9163, 543, 4978, 5103, 2604, 547, 14883, 547, 22686, 6788, 269, 8899, 15285, 267, 598, 14287, 267, 4679, 13438, 547, 679, 6996, 1117, 3347, 543, 4389, 1582, 30797, 269, 14268, 609, 1970, 15285, 949, 6560, 547, 2203, 2635, 4189, 6208, 543, 2168, 2534, 267, 7551, 2810, 741, 1126, 781, 1981, 540, 3384, 8377, 780, 275, 269, 10222, 9201, 912, 31590, 9201, 2099, 1614, 16512, 1016, 17882, 338, 1369, 3885, 602, 1106, 1472, 2127, 540, 8082, 610, 4655, 269, 1452, 24816, 666, 6521, 29858, 267, 2870, 16132, 543, 12042, 1359, 3356, 2509, 20547, 5817, 2152, 269, 1280, 1383, 267, 952, 513, 1126, 609, 8377, 3587, 519, 1445, 540, 21083, 6384, 5473, 1079, 1134, 10784, 1549, 539, 2943, 936, 23181, 633, 3237, 267, 3646, 547, 5000, 8902, 5615, 949, 581, 14944, 1441, 780, 3412, 4124, 585, 16473, 532, 543, 6164, 532, 19974, 25667, 1384, 28274, 1920, 1949, 3069, 547, 6689, 8377, 3340, 19353, 547, 9772, 513, 3376, 7828, 5827, 540, 13830, 13857, 3270, 540, 5872, 12018, 8192, 5079, 267, 3635, 3270, 267, 543, 2949, 1920, 8647, 269, 1635, 9301, 519, 25872, 540, 1367, 543, 7104, 2833, 267, 9439, 666, 7520, 811, 2500, 7459, 6322, 693, 5009, 4264, 1689, 269, 2368, 1761, 2994, 1331, 1384, 272, 269, 16237, 28517, 21940, 2456, 281, 11559, 3885, 547, 3715, 6109, 2943, 8465, 6302, 602, 1489, 1930, 2792, 827, 2597, 5829, 4145, 1510, 5807, 16620, 610, 17847, 563, 273, 269, 10163, 1681, 28762, 8944, 281, 6435, 3237, 29379, 3617, 5718, 5107, 676, 4259, 2312, 4808, 585, 803, 5306, 1307, 267, 5496, 942, 267, 543, 2168, 2534, 563, 274, 269, 674, 29183, 7756, 2747, 281, 8081, 3237, 538, 9781, 2635, 5615, 543, 8716, 4830, 3375, 6194, 1851, 741, 1453, 563, 275, 269, 19737, 10222, 9201, 281, 10576, 543, 7519, 796, 15276, 995, 21083, 6384, 602, 28511, 32277, 28922, 3270, 540, 2623, 780, 6962, 1384, 1103, 3932, 267, 1920, 1949, 3069, 2488, 513, 7347, 5943, 585, 1620, 543, 5466, 6689, 8377, 1369, 519, 2796, 540, 1950, 1920, 3347, 269, 1635, 11504, 547, 10465, 2152, 267, 19620, 21712, 3889, 267, 5807, 15285, 267, 543, 5883, 12730, 267, 9439, 666, 7668, 3885, 547, 4497, 538, 6209, 5188, 827, 2597, 5829, 4145, 543, 12840, 593, 7598, 9434, 3435, 269, 1306, 971, 267, 10128, 1920, 1949, 4485, 883, 4540, 6604, 543, 2126, 26336, 4564, 513, 9621, 28627, 585, 8396, 1154, 6689, 8377, 543, 5355, 2949, 1072, 4093, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 4013, 3896, 540, 519, 2136, 2276, 2229, 454, 763, 1547, 326, 990, 1797, 621, 779, 4013, 269, 8549, 2229, 7270, 1419, 1439, 538, 1547, 326, 990, 610, 1547, 332, 559, 269, 6969, 4687, 6213, 1344, 267, 1118, 2386, 596, 2461, 593, 513, 5313, 2229, 3135, 563, 763, 3135, 568, 5150, 269, 634, 4179, 2517, 5849, 602, 596, 616, 8220, 547, 519, 4013, 3896, 543, 602, 1022, 1344, 596, 1683, 568, 24290, 543, 10299, 18172, 563, 268, 10055, 5468, 454, 268, 11628, 9612, 454, 268, 4750, 5903, 454, 268, 12128, 5450, 629, 5204, 526, 337, 5136, 525, 454, 21609, 3125, 8377, 281, 6604, 568, 1732, 982, 10826, 454, 272, 4972, 540, 27435, 267, 15382, 14899, 11233, 808, 2459, 340, 267, 808, 2459, 340, 543, 22758, 267, 3127, 454, 273, 4972, 540, 27435, 267, 623, 339, 13225, 698, 342, 520, 4303, 531, 1744, 12609, 5403, 23958, 4659, 540, 6481, 7070, 267, 30323, 339, 752, 267, 670, 776, 3570, 267, 3127, 454, 274, 4972, 540, 31814, 808, 2459, 340, 2160, 267, 808, 2459, 340, 267, 808, 2459, 340, 543, 22758, 267, 3127, 454, 275, 4972, 540, 28267, 294, 22513, 663, 14162, 11233, 267, 5754, 1457, 21171, 267, 307, 601, 836, 3570, 267, 3127, 454, 276, 4972, 540, 13106, 25660, 923, 267, 918, 758, 559, 629, 523, 20144, 597, 889, 327, 2967, 2549, 3316, 328, 11233, 267, 29180, 267, 3127, 454, 277, 4972, 540, 17889, 267, 21926, 776, 320, 1744, 686, 932, 6387, 5441, 540, 2405, 3821, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23991, 7010, 10657, 257, 607, 851, 540, 834, 293, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 4804, 24894, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 1156, 565, 568, 513, 2189, 4568, 1813, 547, 2348, 513, 22904, 2940, 8258, 543, 2404, 16982, 563, 1607, 3381, 15211, 596, 998, 4307, 565, 16982, 3889, 547, 948, 596, 1174, 875, 16982, 5222, 922, 23639, 563, 14300, 1331, 9236, 4307, 565, 547, 1035, 2045, 3679, 607, 1134, 607, 519, 1764, 540, 2655, 15856, 757, 593, 519, 8258, 899, 6491, 1886, 1156, 565, 563, 263, 19400, 593, 13334, 281, 26263, 565, 1763, 28585, 270, 10907, 7190, 269, 8437, 16671, 585, 16606, 8094, 299, 3855, 1299, 8249, 631, 1549, 539, 769, 901, 11473, 912, 283, 1700, 13772, 19881, 11473, 281, 3600, 7190, 543, 9978, 640, 540, 15850, 338, 454, 1700, 285, 6657, 13658, 630, 290, 4040, 17652, 994, 1607, 568, 11473, 476, 275, 538, 519, 15850, 1234, 13905, 11473, 10022, 269, 8437, 28313, 585, 519, 3003, 3126, 563, 2704, 4022, 6657, 13658, 543, 4258, 520, 16847, 28527, 4166, 2336, 32306, 513, 31400, 0, 21761, 4280, 2055, 454, 288, 476, 1001, 280, 9836, 2689, 543, 13849, 20400, 538, 634, 31102, 14751, 539, 519, 3106, 540, 18492, 11680, 563, 1607, 1353, 729, 5342, 676, 519, 20506, 23051, 3427, 540, 23427, 6925, 267, 2160, 5441, 5507, 267, 519, 25470, 9576, 5606, 3305, 776, 538, 519, 5177, 267, 519, 570, 1092, 4659, 540, 4317, 7070, 543, 9291, 543, 9253, 2088, 27176, 7690, 538, 3127, 267, 543, 519, 15057, 6481, 3194, 4659, 538, 15057, 269, 634, 1353, 729, 23032, 676, 519, 5177, 6481, 3194, 7027, 267, 5177, 4972, 585, 4139, 4886, 267, 543, 519, 4270, 2492, 11565, 563, 5649, 519, 1353, 689, 634, 31102, 28825, 763, 3703, 2817, 2657, 6796, 630, 301, 9391, 264, 849, 1439, 8503, 18492, 11680, 607, 513, 2922, 4781, 585, 5883, 5712, 563, 5649, 519, 2070, 689, 519, 23244, 28825, 24464, 11584, 531, 11680, 616, 711, 5227, 585, 2022, 12268, 636, 11702, 630, 299, 5255, 807, 1916, 306, 17532, 14025, 1974, 2472, 616, 519, 11359, 7887, 2707, 540, 5068, 593, 17822, 267, 1491, 936, 476, 4335, 1296, 547, 31693, 267, 3625, 694, 9955, 267, 6445, 26071, 267, 543, 1711, 2011, 5533, 952, 14616, 269, 1323, 1367, 1210, 21181, 543, 512, 2086, 976, 25361, 519, 6697, 540, 1079, 1295, 756, 4926, 609, 3653, 1421, 538, 741, 10715, 269, 3962, 25551, 18492, 1587, 1031, 267, 543, 922, 28277, 267, 814, 513, 1272, 268, 12860, 2825, 1764, 267, 689, 5478, 998, 547, 12871, 269, 634, 3119, 25499, 2694, 1331, 10412, 267, 1957, 267, 3574, 17870, 267, 543, 15229, 267, 7132, 1216, 543, 4492, 267, 799, 782, 723, 8101, 3327, 267, 4199, 946, 267, 543, 8733, 29066, 563, 24464, 11584, 531, 11680, 616, 1031, 782, 936, 519, 1158, 267, 538, 2462, 4872, 267, 1507, 14252, 267, 543, 10876, 538, 1063, 269, 1358, 616, 1031, 676, 2043, 540, 1082, 4529, 543, 10764, 563, 24464, 11584, 566, 666, 723, 513, 2942, 1198, 593, 6690, 685, 2069, 267, 2523, 952, 789, 723, 1100, 21181, 610, 11680, 269, 2859, 1382, 568, 2877, 563, 5649, 811, 593, 1281, 28689, 1118, 6690, 4413, 1153, 563, 763, 2825, 1764, 540, 513, 23431, 18492, 7484, 568, 1447, 982, 476, 272, 269, 276, 260, 540, 519, 1764, 540, 512, 2086, 976, 610, 28734, 269, 9093, 11584, 531, 11680, 946, 476, 1626, 2053, 1447, 3327, 1764, 982, 2582, 14025, 2472, 267, 9494, 476, 278, 4846, 2910, 273, 324, 936, 513, 1032, 269, 3962, 7484, 3340, 1152, 476, 1428, 10101, 540, 30736, 547, 1118, 267, 6508, 689, 21958, 5070, 267, 606, 10731, 1570, 609, 8766, 2825, 1764, 563, 9596, 811, 827, 519, 2825, 1764, 540, 18492, 2472, 563, 8133, 267, 2021, 540, 9099, 5132, 616, 1210, 11680, 2066, 519, 1158, 267, 1519, 538, 15057, 267, 9031, 267, 16888, 267, 543, 16850, 269, 6258, 811, 827, 9099, 5132, 543, 18492, 11680, 563, 10666, 2899, 513, 3923, 267, 1973, 543, 2281, 689, 513, 4807, 779, 19786, 4734, 1200, 1560, 998, 1200, 29199, 269, 11270, 338, 616, 3339, 543, 2635, 269, 1358, 2063, 689, 476, 273, 547, 476, 279, 2395, 1142, 3923, 563, 288, 18492, 7484, 568, 8032, 899, 513, 1507, 11350, 267, 621, 568, 17332, 883, 519, 29199, 547, 2445, 18492, 5714, 269, 589, 7484, 568, 2973, 267, 31978, 545, 267, 2922, 267, 543, 6899, 267, 543, 7472, 1100, 9329, 269, 1411, 786, 711, 1745, 707, 7484, 3330, 596, 267, 543, 596, 666, 4894, 621, 3362, 269, 3962, 7484, 568, 23431, 543, 16569, 476, 1015, 1296, 267, 865, 17990, 519, 1942, 540, 476, 273, 267, 4335, 25551, 18492, 21181, 610, 512, 2086, 976, 563, 10376, 7484, 6585, 476, 736, 268, 1839, 1984, 4106, 637, 540, 1973, 267, 827, 519, 1482, 607, 476, 274, 21181, 610, 512, 2086, 976, 267, 2614, 585, 5230, 5712, 563, 763, 29199, 568, 1500, 689, 13412, 4887, 267, 799, 666, 12701, 2647, 1930, 543, 849, 3180, 519, 7484, 17401, 269, 1411, 798, 711, 723, 547, 4894, 707, 7484, 547, 2712, 3729, 269, 6884, 950, 596, 1219, 1815, 622, 519, 7484, 8813, 856, 540, 1747, 267, 1287, 1175, 4894, 621, 543, 556, 12133, 563, 2252, 596, 6749, 519, 18492, 7484, 593, 513, 2973, 2627, 267, 621, 666, 581, 32092, 539, 609, 2973, 1216, 543, 556, 12133, 539, 269, 1403, 621, 8813, 5196, 513, 18660, 6989, 610, 4234, 9068, 267, 798, 711, 946, 621, 2394, 596, 723, 19345, 621, 609, 23017, 1216, 563, 10376, 4807, 568, 1114, 282, 930, 991, 547, 8900, 519, 7484, 1169, 476, 274, 3108, 269, 1684, 711, 4734, 621, 538, 3476, 982, 476, 1321, 3108, 269, 1411, 666, 946, 707, 7484, 16074, 1247, 596, 3207, 269, 2506, 27679, 519, 7484, 1354, 2469, 547, 3207, 543, 1287, 8900, 621, 1586, 950, 596, 12687, 563, 7230, 913, 621, 607, 4166, 607, 596, 3314, 269, 898, 568, 2653, 547, 7340, 707, 7484, 1317, 621, 568, 6899, 267, 543, 519, 18492, 1973, 1281, 711, 2097, 883, 3346, 609, 2011, 267, 865, 621, 1281, 711, 9329, 269, 1411, 666, 2322, 519, 7484, 538, 519, 1554, 1354, 596, 2503, 707, 1974, 786, 1376, 563, 9824, 1314, 267, 543, 798, 711, 5855, 269, 12532, 1472, 543, 2119, 1586, 269, 808, 18804, 610, 8904, 1522, 948, 269, 8347, 9361, 610, 2695, 520, 1154, 538, 513, 1114, 2990, 563, 5591, 267, 519, 29199, 13515, 693, 519, 14677, 1460, 267, 799, 1152, 10741, 1282, 27638, 563, 8794, 519, 7484, 666, 581, 30255, 2394, 596, 616, 1031, 547, 621, 269, 2991, 513, 1906, 5712, 267, 596, 786, 1451, 875, 1419, 596, 991, 547, 8900, 519, 7484, 269, 4107, 2043, 1491, 513, 1906, 5712, 1354, 1210, 513, 7484, 568, 6899, 543, 2653, 269, 13185, 547, 707, 2828, 945, 946, 873, 269, 898, 568, 899, 1565, 547, 1224, 267, 610, 14964, 513, 17919, 1107, 2352, 693, 1101, 267, 543, 1287, 10393, 621, 568, 2653, 2336, 5591, 269, 10552, 1152, 24462, 950, 621, 568, 538, 3346, 609, 2011, 269, 1703, 568, 1100, 2011, 3330, 596, 267, 865, 1100, 9329, 563, 8133, 269, 589, 18492, 7484, 666, 581, 1031, 689, 606, 1367, 779, 1101, 1974, 269, 1879, 519, 18492, 7484, 568, 1101, 17332, 883, 519, 29199, 267, 621, 949, 12701, 519, 1728, 5443, 267, 799, 568, 519, 2960, 1472, 519, 13675, 540, 519, 29199, 269, 2311, 23648, 267, 519, 1728, 5443, 3587, 811, 13412, 543, 21018, 269, 589, 21401, 1728, 5443, 1281, 711, 1611, 513, 8004, 568, 711, 513, 20424, 282, 513, 8004, 1152, 13515, 1373, 513, 20424, 950, 1352, 814, 1185, 4638, 26697, 563, 9596, 811, 827, 18492, 11680, 543, 20424, 640, 563, 5591, 269, 634, 29199, 568, 1500, 540, 4887, 602, 21018, 950, 596, 7696, 519, 7484, 543, 4422, 1394, 547, 519, 1482, 2450, 950, 596, 4894, 621, 563, 2467, 568, 1100, 2085, 3970, 269, 1411, 666, 946, 513, 18492, 7484, 689, 707, 1101, 1974, 563, 8133, 267, 596, 666, 946, 621, 693, 1753, 610, 693, 1153, 543, 1247, 10977, 267, 4881, 267, 15472, 267, 4730, 2121, 4252, 267, 15203, 267, 610, 1022, 824, 2534, 563, 288, 7484, 949, 13451, 952, 621, 568, 2407, 267, 952, 621, 814, 711, 1044, 2322, 538, 7157, 267, 952, 621, 568, 1932, 1507, 513, 2450, 267, 610, 952, 621, 814, 711, 8118, 909, 3330, 596, 269, 6875, 621, 856, 543, 2119, 1586, 269, 2107, 2119, 513, 1114, 2450, 610, 6216, 563, 5591, 267, 519, 18492, 7484, 786, 711, 2285, 596, 21420, 5563, 269, 634, 29199, 2306, 8825, 5728, 687, 602, 948, 2061, 5563, 269, 9521, 512, 2086, 976, 267, 18492, 11680, 798, 711, 10110, 707, 2067, 5728, 687, 267, 865, 519, 29199, 3788, 2635, 1282, 707, 5712, 269, 11408, 27125, 707, 18492, 7484, 609, 7899, 540, 2973, 1216, 267, 607, 12853, 593, 519, 7484, 666, 8886, 622, 519, 3330, 540, 707, 29199, 563, 5649, 811, 593, 519, 1888, 1934, 563, 24464, 11584, 531, 24768, 1744, 1442, 15540, 630, 332, 4811, 306, 264, 568, 513, 4686, 2680, 602, 4386, 1851, 14108, 908, 6690, 543, 2021, 269, 634, 2589, 616, 1164, 8611, 267, 2770, 6438, 2589, 267, 21994, 267, 799, 666, 1291, 547, 4049, 4576, 267, 635, 320, 267, 543, 1256, 2669, 269, 6168, 476, 274, 829, 476, 1911, 267, 1822, 512, 2086, 517, 3755, 11124, 689, 544, 4811, 306, 538, 519, 476, 2735, 271, 338, 950, 789, 1031, 3810, 10110, 550, 512, 2086, 976, 269, 4595, 1287, 267, 1152, 476, 276, 16143, 2665, 540, 544, 4811, 306, 723, 1044, 4080, 1851, 1082, 6634, 540, 7484, 3755, 269, 5565, 540, 891, 2021, 849, 1031, 513, 15333, 21082, 16509, 267, 543, 835, 1185, 606, 10081, 268, 14545, 2068, 269, 544, 4811, 306, 568, 1360, 4686, 267, 855, 581, 3222, 540, 519, 2589, 269, 1403, 789, 2049, 267, 5612, 4894, 519, 7484, 543, 3343, 2564, 5796, 563, 5649, 811, 3877, 593, 544, 4811, 306, 543, 18492, 11680, 563, 5591, 267, 621, 568, 585, 707, 2123, 946, 543, 1590, 711, 581, 3838, 609, 4896, 3116, 563, 24464, 11584, 531, 11680, 616, 1500, 689, 2564, 17263, 30736, 267, 3735, 343, 267, 12285, 267, 610, 5068, 1714, 770, 9593, 269, 4107, 11680, 723, 13170, 689, 3084, 9431, 8128, 971, 607, 519, 2475, 8549, 10684, 10837, 269, 10866, 30736, 11680, 2270, 1100, 21187, 267, 13526, 2541, 267, 610, 6464, 543, 616, 3834, 334, 22433, 1120, 21329, 267, 865, 972, 616, 1100, 2427, 2360, 269, 589, 1906, 1004, 616, 13027, 547, 12285, 610, 3735, 343, 269, 1403, 596, 1745, 1928, 267, 8781, 267, 16698, 267, 538, 23807, 480, 2459, 566, 538, 519, 19058, 1858, 267, 610, 9636, 1282, 30614, 267, 4894, 519, 18492, 7484, 543, 3643, 513, 16758, 563, 763, 9475, 948, 519, 7484, 1118, 513, 1434, 13021, 547, 2061, 682, 1136, 269, 2311, 519, 1439, 540, 707, 1974, 2973, 519, 9475, 609, 513, 12308, 610, 606, 2025, 28750, 269, 1684, 711, 946, 513, 8930, 610, 13549, 607, 789, 949, 3441, 519, 7484, 269, 1403, 519, 7484, 1281, 711, 723, 9475, 267, 7903, 519, 3490, 540, 519, 7484, 267, 547, 5305, 519, 2048, 572, 531, 17483, 5278, 12478, 540, 10464, 11680, 616, 711, 1500, 689, 2564, 17263, 30736, 855, 689, 4057, 7779, 5068, 1714, 770, 9593, 269, 1358, 949, 581, 13888, 547, 16784, 543, 7696, 3362, 610, 1932, 2571, 543, 13451, 269, 634, 1570, 949, 711, 2063, 4557, 1296, 269, 1403, 596, 1413, 1310, 707, 7484, 5402, 621, 1058, 2063, 4557, 1296, 267, 865, 621, 568, 4502, 1210, 513, 1434, 835, 454, 763, 2766, 568, 1152, 972, 865, 602, 596, 666, 1745, 3330, 547, 2327, 519, 7484, 568, 972, 269, 898, 1058, 711, 1093, 651, 856, 540, 707, 29199, 269, 1403, 519, 2766, 533, 10280, 856, 267, 2759, 513, 1507, 4062, 1055, 609, 23805, 610, 513, 17180, 547, 1118, 621, 3514, 269, 1403, 621, 568, 1869, 13943, 267, 2759, 513, 3787, 811, 689, 519, 2766, 269, 2142, 6297, 711, 547, 2759, 513, 8559, 538, 519, 7484, 2336, 8133, 269, 634, 18492, 7484, 568, 1434, 585, 1769, 1974, 2095, 267, 607, 621, 25173, 1973, 1510, 21716, 2067, 12862, 689, 519, 21420, 6821, 563, 763, 18492, 7484, 1281, 711, 2061, 6379, 267, 6862, 2149, 689, 16770, 10299, 5563, 269, 2368, 15185, 616, 6899, 1210, 513, 7484, 1282, 3023, 267, 621, 568, 909, 547, 873, 269, 0, 2171, 1631, 2097, 547, 1776, 1433, 538, 3163, 585, 15526, 10022, 267, 713, 835, 568, 11331, 901, 26812, 3215, 18395, 676, 966, 269, 715, 1547, 918, 558, 541, 990, 269, 901, 1433, 4422, 513, 1900, 2417, 982, 519, 1079, 824, 17651, 2835, 630, 5472, 6168, 634, 23571, 267, 589, 3883, 6168, 4643, 1115, 543, 25578, 264, 602, 649, 723, 2907, 2938, 269, 18395, 8197, 568, 513, 4241, 1641, 269, 5775, 918, 558 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 325, 19189, 815, 834, 309, 2967, 29833, 2103, 630, 6944, 571, 513, 1295, 3873, 642, 2632, 1228, 264, 27029, 1721, 1577, 571, 538, 9992, 848, 912, 825, 1820, 263, 2280, 571, 267, 754, 8782, 5073, 2745, 4590, 1721, 733, 538, 2039, 630, 1015, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 279, 267, 736, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 273, 267, 1556, 267, 273, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 1015, 16427, 272, 16427, 272, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 271, 267, 6078, 267, 273, 2187, 825, 1820, 263, 4186, 994, 0, 341, 1794, 807, 815, 11713, 333, 2345, 815, 14277, 294, 755, 822, 334, 2580, 834, 291, 19085, 2580, 834, 26469, 334, 2580, 834, 300, 7752, 639, 31116, 333, 10179, 657, 815, 1496, 272, 267, 1704, 267, 1960, 272, 267, 1789, 267, 3393, 2639, 332, 16695, 815, 22373, 23325, 2580, 1704, 267, 1412, 311, 3299, 1708, 272, 267, 834, 309, 2967, 9501, 31116, 325, 639, 14244, 815, 1496, 333, 2345, 19885, 10179, 657, 2639, 2745, 3890, 1948, 525, 11985, 9809, 334, 1303, 516, 607, 13274, 13757, 454, 2745, 3799, 2345, 994, 2745, 4590, 2745, 3799, 10179, 657, 994, 2745, 4590, 2745, 9852, 16695, 994, 2745, 4590, 2745, 6600, 639, 14244, 994, 2745, 4590, 2745, 263, 2381, 3799, 10179, 657, 4297, 567, 1948, 24464, 528, 1003, 3266, 454, 2745, 4590, 2745, 32384, 3799, 10179, 657, 4297, 1948, 30538, 1640, 1003, 3266, 454, 2745, 4590, 2745, 4433, 636, 3799, 10179, 657, 4297, 1948, 306, 558, 541, 454, 2745, 4590, 2745, 3799, 2345, 314, 271, 8079, 1948, 8266, 320, 513, 1064, 529, 14244, 13121, 562, 2345, 454, 2745, 4590, 2745, 9852, 16695, 314, 275, 8079, 1948, 8266, 320, 513, 1064, 529, 14244, 13121, 30458, 454, 2745, 4590, 2745, 6600, 639, 14244, 314, 271, 7481, 2745, 4590, 2745, 6600, 639, 14244, 314, 272, 7481, 2745, 4590, 2745, 6600, 639, 14244, 314, 271, 6012, 272, 8079, 1948, 335, 571, 513, 947, 541, 522, 3693, 334, 964, 324, 329, 5964, 3799, 727, 994, 2745, 4590, 2745, 6600, 639, 14244, 314, 271, 6012, 272, 3910, 325, 639, 14244, 314, 272, 6012, 273, 8079, 1948, 335, 571, 513, 947, 541, 522, 3693, 334, 964, 324, 329, 5964, 3799, 727, 264, 630, 11907, 994, 2745, 4590, 2745, 2891, 268, 6889, 265, 1789, 264, 258, 19324, 4302, 576, 591, 522, 6446, 1609, 320, 7202, 549, 546, 553, 29954, 553, 11188, 476, 1789, 20330, 2745, 4590, 2745, 3799, 2345, 994, 333, 2345, 1496, 274, 316, 815, 834, 30538, 6625, 257, 1948, 2704, 614, 541, 522, 562, 727, 6446, 1609, 320, 2512, 5964, 14255, 1064, 529, 14244, 476, 274, 23263, 454, 2745, 4590, 2745, 3799, 2345, 994, 2745, 4590, 2745, 6600, 639, 14244, 994, 325, 639, 14244, 1496, 272, 6012, 273, 316, 815, 476, 1708, 272, 454, 2745, 4590, 2745, 6600, 639, 14244, 264, 0, 258, 5327, 2378, 1470, 476, 272, 910, 10507, 920, 9366, 19804, 1982, 320, 6446, 3313, 547, 323, 657, 15259, 562, 14243, 1067, 657, 632, 476, 275, 620, 3258, 1143, 657, 6446, 1502, 600, 1583, 3021, 15606, 900, 798, 529, 562, 14243, 1067, 657, 632, 798, 529, 620, 3258, 1143, 657, 6446, 1474, 15606, 552, 6173, 18372, 5498, 513, 1474, 320, 513, 334, 22712, 2784, 334, 1073, 1084, 3873, 5498, 522, 929, 6759, 3064, 334, 562, 14243, 1067, 334, 563, 258, 2750, 6374, 334, 281, 476, 23714, 276, 815, 476, 4649, 552, 476, 4649, 1262, 273, 20527, 28075, 783, 3331, 350, 476, 23714, 276, 692, 1721, 562, 538, 2039, 263, 1911, 271, 267, 1911, 876, 2187, 825, 562, 272, 815, 562, 12262, 1911, 454, 825, 562, 273, 815, 562, 4939, 476, 1911, 454, 825, 952, 630, 333, 272, 266, 333, 273, 264, 1262, 273, 2652, 562, 912, 1038, 1820, 3799, 264, 0, 5814, 15259, 454, 5814, 26417, 7531, 341, 4925, 815, 476, 271, 454, 322, 663, 573, 919, 815, 11713, 341, 1774, 12248, 815, 2715, 10926, 258, 21860, 3758, 454, 322, 12364, 12949, 815, 15259, 29624, 12459, 7765, 2891, 324, 3005, 12774, 27406, 15419, 258, 1348, 519, 3758, 454, 5976, 1930, 6262, 12364, 12949, 264, 607, 26417, 12803, 912, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 14352, 12887, 4917, 825, 26417, 3650, 518, 815, 1985, 6262, 12364, 1348, 518, 994, 825, 1948, 27463, 848, 8917, 12523, 585, 1142, 4737, 454, 825, 585, 4737, 538, 26417, 1348, 518, 912, 1038, 16018, 6834, 476, 272, 454, 1038, 1948, 26303, 10457, 1592, 454, 1038, 952, 4737, 314, 273, 316, 711, 538, 10457, 912, 2018, 10457, 6910, 21405, 314, 273, 7481, 2018, 8917, 12248, 314, 992, 314, 273, 14963, 815, 476, 271, 454, 1038, 1948, 26303, 519, 8917, 12523, 585, 1142, 11134, 454, 1038, 585, 11134, 538, 10457, 912, 2018, 952, 4737, 314, 273, 316, 2652, 11134, 912, 3546, 8917, 12248, 314, 992, 314, 273, 14963, 6834, 476, 272, 7531, 258, 338, 677, 676, 519, 8917, 1293, 454, 338, 677, 341, 1774, 12248, 815, 15044, 17635, 1774, 12248, 29096, 19572, 1883, 284, 14433, 1535, 281, 1535, 314, 272, 3910, 516, 2091, 815, 6936, 9239, 2745, 2891, 292, 3005, 11778, 5602, 2745, 2891, 10900, 268, 5602, 2745, 6600, 257, 13707, 966, 4925, 281, 2715, 341, 4925, 348, 5602, 2745, 2891, 10900, 268, 5602, 1721, 11134, 538, 4990, 341, 1774, 12248, 912, 825, 1820, 6600, 257, 346, 322, 663, 28371, 314, 271, 316, 348, 2433, 2715, 322, 663, 28371, 314, 272, 316, 1315, 16018, 2608, 476, 1911, 15545, 274, 325, 348, 260, 630, 346, 322, 663, 28371, 314, 272, 316, 16585, 5602, 2745, 2891, 10900, 268, 5602, 2745, 6600, 257, 310, 27903, 281, 2715, 338, 677, 341, 1774, 12248, 314, 271, 6012, 271, 316, 348, 5602, 2745, 2891, 10900, 268, 257, 9239, 5976, 1930, 2891, 16059, 17902, 2580, 834, 342, 8442, 607, 3758, 912, 825, 3758, 22182, 2891, 292, 3005, 11778, 14826, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 5602, 825, 3758, 22182, 6600, 257, 13707, 966, 4925, 281, 2715, 341, 4925, 4153, 333, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 5602, 825, 585, 11134, 538, 4990, 341, 1774, 12248, 912, 1038, 3758, 22182, 6600, 257, 346, 322, 663, 28371, 314, 271, 316, 348, 2433, 2715, 322, 663, 28371, 314, 272, 316, 1315, 16018, 2608, 476, 1911, 15545, 274, 325, 348, 260, 630, 346, 322, 663, 28371, 314, 272, 316, 348, 9385, 333, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 5602, 825, 3758, 22182, 6600, 257, 310, 27903, 281, 2715, 338, 677, 341, 1774, 12248, 314, 271, 6012, 271, 316, 4153, 333, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 15419, 0, 3240, 18743, 815, 13634, 825, 834, 4067, 9899, 834, 2704, 6975, 20350, 825, 834, 720, 9899, 476, 4391, 454, 348, 7531, 18411, 20597, 337, 643, 737, 331, 691, 1187, 330, 5406, 523, 1094, 1140, 3954, 543, 32057, 834, 4067, 257, 17328, 679, 8675, 454, 18411, 3698, 1689, 12173, 5560, 1112, 318, 15953, 267, 1007, 12173, 2187, 825, 9598, 318, 15953, 9131, 4067, 11172, 815, 1007, 12173, 7531, 4219, 12173, 30044, 18743, 267, 834, 27880, 5602, 2745, 30044, 18743, 14277, 4067, 19312, 9239, 18411, 19547, 737, 528, 516, 330, 3279, 521, 341, 15756, 21473, 1820, 1236, 320, 642, 4673, 1384, 825, 8861, 454, 18411, 0, 3698, 1205, 28747, 28442, 2187, 825, 2132, 7003, 28442, 9239, 26319, 815, 1205, 28747, 2891, 10817, 18480, 8709, 17664, 636, 5602, 2745, 10857, 2654, 267, 834, 263, 10817, 18480, 3331, 353, 337, 1236, 777, 13873, 1285, 5124, 17983, 12467, 258, 634, 2953, 2626, 1934, 1058, 581, 2387, 1626, 26384, 258, 28150, 930, 3063, 6060, 676, 16460, 945, 834, 10817, 18480, 8709, 17664, 636, 257, 568, 6902, 994, 0, 5035, 7813, 28398, 3890, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6230, 2292, 815, 476, 8182, 271, 692, 825, 1219, 1205, 8548, 2292, 4311, 2187, 1038, 2132, 1582, 6230, 2292, 692, 825, 23288, 825, 32020, 737, 331, 691, 3954, 3771, 1187, 330, 5406, 523, 2676, 825, 3954, 1236, 320, 522, 6390, 642, 731, 564, 17328, 1582, 6230, 2292, 1199, 642, 731, 564, 1474, 1236, 1157, 553, 538, 563, 825, 23288, 825, 1219, 1039, 8548, 2292, 4311, 267, 2179, 2187, 1038, 1582, 6230, 2292, 6834, 2179, 7531, 18283, 17624, 15193, 815, 7813, 28398, 4590, 18283, 17624, 15193, 14491, 8548, 2292, 263, 2735, 9239, 18411, 19547, 737, 528, 516, 330, 3279, 521, 341, 15756, 1775, 546, 28225, 1820, 1236, 320, 642, 4673, 1384, 825, 476, 9692, 279, 454, 18411, 2745, 263, 18283, 17624, 15193, 10947, 8548, 2292, 15405, 0, 5228, 2979, 1104, 21762, 692, 5035, 8672, 912, 825, 8953, 815, 476, 271, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 8587, 1582, 269, 31371, 13118, 815, 11713, 8587, 1582, 11859, 815, 1535, 454, 8587, 1582, 13885, 815, 586, 454, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 8587, 2132, 630, 1345, 11859, 2525, 1278, 11859, 264, 543, 630, 1345, 13885, 2525, 1278, 13885, 2020, 9557, 318, 1551, 815, 29129, 5976, 1930, 3488, 9557, 17902, 10807, 607, 2798, 912, 825, 585, 7329, 343, 267, 1448, 538, 26246, 263, 9557, 2187, 1038, 1448, 815, 1448, 21858, 4590, 1038, 1448, 815, 1496, 842, 9217, 264, 585, 1775, 538, 1448, 2639, 1038, 2798, 318, 1551, 6910, 263, 11592, 263, 4812, 314, 271, 3910, 1448, 314, 272, 8079, 2020, 301, 815, 7003, 263, 9557, 318, 1551, 2020, 1721, 795, 538, 2798, 318, 1551, 912, 825, 952, 630, 9557, 318, 1551, 29644, 27203, 25631, 284, 272, 2187, 1038, 2798, 318, 1551, 31927, 27203, 994, 1038, 715, 284, 301, 268, 272, 454, 3097, 1721, 1775, 538, 1535, 9792, 263, 271, 267, 301, 2187, 825, 952, 630, 328, 2525, 271, 2187, 1038, 1295, 284, 6912, 9230, 9557, 318, 1551, 314, 271, 4940, 343, 15304, 338, 318, 1551, 314, 301, 268, 272, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 314, 271, 4940, 344, 15304, 338, 318, 1551, 314, 301, 268, 272, 4940, 344, 264, 1262, 273, 994, 825, 3116, 912, 1038, 1295, 284, 6912, 9230, 9557, 318, 1551, 5157, 4940, 343, 15304, 338, 318, 1551, 314, 271, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 5157, 4940, 344, 15304, 338, 318, 1551, 314, 271, 4940, 344, 264, 1262, 273, 264, 8931, 825, 585, 795, 538, 1535, 9792, 263, 271, 267, 301, 2187, 1038, 952, 630, 329, 256, 284, 328, 2187, 2018, 11397, 284, 6912, 9230, 9557, 318, 1551, 5157, 4940, 343, 15304, 338, 318, 1551, 14728, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 5157, 4940, 344, 15304, 338, 318, 1551, 14728, 4940, 344, 264, 1262, 273, 994, 2018, 952, 630, 323, 9665, 283, 2381, 2187, 3546, 1295, 284, 323, 9665, 454, 1038, 2798, 318, 1551, 5157, 4940, 31709, 284, 2381, 28329, 1721, 1775, 538, 1535, 9792, 263, 271, 267, 301, 2187, 825, 585, 795, 538, 1535, 9792, 263, 271, 267, 301, 2187, 1038, 952, 630, 329, 256, 284, 328, 2187, 2018, 11397, 14352, 6912, 9230, 9557, 318, 1551, 5157, 4940, 343, 15304, 338, 318, 1551, 14728, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 5157, 4940, 344, 15304, 338, 318, 1551, 14728, 4940, 344, 264, 1262, 273, 4297, 270, 273, 454, 2018, 952, 630, 323, 9665, 27045, 9557, 318, 1551, 5157, 4940, 31709, 2567, 3546, 454, 23526, 2798, 318, 1551, 5157, 4940, 31371, 13118, 6910, 27203, 994, 25639, 454, 1721, 1775, 538, 1535, 9792, 630, 271, 267, 301, 2187, 825, 1820, 18011, 11592, 1297, 3299, 328, 266, 272, 994, 825, 1820, 263, 9557, 318, 1551, 5157, 4940, 343, 267, 9557, 318, 1551, 5157, 4940, 344, 994, 825, 1820, 2891, 20238, 3780, 284, 2580, 9557, 318, 1551, 5157, 4940, 31709, 994, 825, 1820, 3488, 10468, 662, 321, 2293, 281, 5073, 825, 585, 795, 538, 2798, 318, 1551, 5157, 4940, 31371, 13118, 912, 1038, 1820, 263, 9557, 318, 1551, 14728, 4940, 343, 267, 9557, 318, 1551, 14728, 4940, 344, 994, 825, 1820, 18011, 315, 333, 5073, 0, 258, 1104, 541, 579, 334, 27368, 454, 5814, 27368, 692, 258, 538, 545, 3511, 513, 12190, 1774, 8619, 454, 6853, 18524, 269, 8181, 10797, 258, 524, 686, 18372, 579, 2742, 23891, 11253, 1138, 1255, 454, 13568, 11253, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 8517, 267, 476, 6110, 1070, 476, 271, 267, 476, 3953, 2020, 258, 897, 665, 18372, 19804, 512, 6403, 339, 25222, 14255, 23891, 11253, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 568, 3144, 689, 513, 2487, 1957, 3370, 538, 8447, 5623, 5022, 630, 4338, 306, 3820, 994, 10454, 5506, 602, 519, 17807, 6818, 538, 513, 7123, 1533, 949, 581, 3152, 982, 5892, 2219, 4799, 257, 2414, 1174, 519, 2104, 543, 519, 2250, 540, 519, 17807, 267, 543, 547, 2708, 519, 14496, 540, 1965, 23298, 1670, 11236, 267, 835, 1631, 2115, 811, 5730, 7403, 540, 519, 11612, 7714, 536, 657, 517, 2527, 543, 540, 824, 6724, 540, 519, 3044, 2203, 269, 18776, 538, 713, 4287, 786, 2097, 689, 2104, 6901, 693, 519, 700, 18449, 267, 607, 1134, 607, 693, 824, 14232, 6703, 267, 971, 607, 519, 4139, 12430, 7502, 3187, 543, 519, 15020, 14066, 16874, 1258, 7502, 3187, 269, 1717, 267, 519, 1482, 6901, 949, 849, 3605, 1007, 5536, 543, 4205, 267, 799, 1131, 12189, 519, 11612, 7714, 1761, 543, 3976, 25340, 7369, 519, 1699, 4901, 593, 519, 17807, 779, 6617, 4799, 763, 3113, 14550, 1141, 938, 17807, 29084, 630, 520, 519, 5169, 1040, 1677, 1174, 1018, 713, 3113, 14550, 267, 835, 14659, 538, 2165, 540, 513, 3440, 12902, 593, 519, 14258, 269, 1403, 649, 616, 693, 519, 9803, 1448, 593, 519, 14258, 267, 1775, 4318, 269, 519, 1079, 14258, 6825, 1412, 1805, 762, 3299, 1287, 519, 11708, 602, 616, 1152, 2362, 982, 519, 5169, 2049, 269, 1703, 568, 24076, 547, 979, 270, 2651, 855, 1524, 5196, 519, 5169, 630, 4252, 12902, 1524, 24824, 3936, 956, 693, 519, 5169, 1040, 634, 824, 14258, 630, 5471, 770, 762, 3148, 543, 849, 519, 9803, 7455, 264, 666, 5512, 519, 3440, 547, 2196, 1524, 24824, 547, 1412, 17463, 262, 20581, 2469, 1524, 1055, 547, 519, 1318, 1688, 2427, 267, 11014, 269, 2334, 5012, 547, 513, 7122, 17253, 12511, 15581, 799, 2242, 13497, 269, 901, 1131, 1611, 602, 519, 17807, 568, 6038, 18633, 543, 621, 568, 513, 2339, 540, 942, 585, 519, 12511, 547, 834, 2998, 1524, 24824, 2668, 901, 7872, 568, 519, 9697, 770, 23393, 5219, 547, 538, 519, 1957, 269, 1284, 2887, 883, 519, 705, 903, 338, 593, 519, 1318, 1688, 2427, 540, 519, 3113, 269, 1358, 4867, 1589, 519, 13849, 3613, 762, 14258, 616, 1869, 811, 2693, 563, 716, 783, 1957, 2630, 0, 296, 917, 594, 6415, 1152, 476, 1321, 2483, 3719, 1775, 2731, 530, 13860, 1451, 930, 2182, 14537, 13004, 256, 9320, 23722, 630, 299, 565, 1040, 1306, 1279, 607, 596, 16921, 948, 803, 268, 1134, 952, 907, 888, 296, 530, 13860, 1451, 713, 547, 1745, 10583, 630, 311, 291, 267, 585, 1187, 267, 585, 2069, 267, 585, 2104, 543, 547, 23666, 1250, 4587, 7015, 563, 3719, 5631, 585, 2069, 543, 519, 1249, 602, 594, 2972, 1565, 13004, 269, 6145, 950, 9253, 1328, 6026, 803, 930, 32089, 543, 1631, 19000, 1775, 10150, 621, 269, 1924, 1775, 1616, 811, 907, 888, 296, 1131, 2307, 513, 1433, 267, 4116, 610, 24107, 855, 789, 2760, 723, 519, 942, 270, 24987, 563, 296, 4440, 3280, 21173, 267, 855, 621, 781, 3020, 563, 28775, 2685, 267, 824, 786, 1451, 1932, 2336, 12179, 2251, 1131, 581, 1434, 7602, 497, 16378, 497, 16378, 497, 454, 296, 6415, 7168, 6654, 2483, 296, 7058, 1775, 1175, 530, 13860, 1451, 855, 1775, 1810, 1405, 917, 1018, 1175, 1945, 3564, 1250, 1377, 888, 12024, 875, 9253, 1328, 512, 2795, 803, 18983, 16615, 269, 594, 10150, 602, 563, 8794, 519, 15328, 710, 4341, 267, 19456, 23768, 543, 29890, 593, 513, 3337, 1500, 540, 1079, 6906, 7923, 547, 513, 10126, 540, 5858, 267, 649, 666, 960, 856, 519, 8953, 540, 519, 5858, 1210, 713, 281, 5291, 2517, 4445, 1794, 334, 2593, 270, 1626, 320, 279, 321, 6767, 278, 6277, 6321, 322, 277, 1428, 28656, 324, 6507, 278, 6321, 322, 2801, 31696, 324, 454, 13981, 4609, 585, 631, 294, 543, 824, 16994, 1053, 454, 1607, 3135, 5654, 1434, 543, 621, 5526, 547, 581, 1863, 269, 1403, 596, 6443, 909, 789, 3950, 707, 3356, 2433, 994, 2080, 568, 1776, 3135, 912, 28646, 891, 4609, 786, 927, 596, 1451, 855, 786, 849, 948, 596, 24917, 538, 593, 1018, 596, 1616, 547, 1451, 543, 649, 666, 948, 596, 1174, 952, 596, 1205, 12758, 563, 296, 1810, 1405, 917, 952, 596, 723, 8068, 855, 594, 723, 1044, 6028, 930, 4967, 585, 596, 593, 824, 1004, 781, 16060, 563, 16269, 616, 593, 1007, 9708, 609, 532, 519, 16060, 596, 666, 1294, 707, 2012, 593, 519, 2626, 2985, 2433, 994, 2791, 616, 10950, 631, 294, 454, 2252, 596, 2119, 1346, 4609, 596, 666, 1205, 1394, 609, 513, 2689, 540, 873, 269, 2334, 1131, 581, 1390, 269, 2433, 4297, 0, 2704, 4022, 568, 513, 1360, 883, 13877, 908, 20892, 602, 666, 1291, 547, 3978, 2427, 2360, 267, 1312, 538, 519, 2110, 3856, 543, 1279, 3856, 269, 2755, 621, 568, 3656, 585, 1004, 945, 616, 476, 2641, 543, 4587, 547, 8532, 23931, 16098, 538, 519, 2136, 2276, 267, 4568, 568, 849, 835, 540, 519, 1034, 4922, 26884, 883, 13877, 908, 6878, 563, 763, 2817, 4659, 593, 15850, 18816, 543, 15850, 1143, 630, 25712, 8150, 288, 264, 5359, 602, 972, 616, 693, 2547, 476, 1626, 2929, 1004, 538, 519, 2475, 945, 2743, 519, 7355, 585, 4568, 946, 4524, 630, 288, 11070, 1070, 610, 29015, 282, 827, 476, 1428, 269, 272, 2929, 540, 891, 2043, 616, 4079, 267, 6502, 476, 1240, 543, 4587, 267, 543, 827, 476, 277, 2537, 267, 1822, 616, 10708, 1063, 519, 6502, 540, 476, 1321, 543, 476, 1704, 269, 634, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 5359, 602, 476, 6434, 267, 1822, 1004, 5884, 1169, 1032, 1813, 547, 930, 3390, 1644, 547, 4568, 267, 971, 607, 1286, 26301, 267, 4568, 15464, 267, 543, 6797, 5821, 563, 306, 7219, 543, 18323, 12983, 13565, 547, 15850, 2422, 454, 16449, 519, 1082, 2427, 2360, 2404, 609, 6704, 1932, 1454, 267, 15353, 267, 588, 22824, 267, 543, 1793, 13899, 4633, 616, 930, 540, 519, 1034, 1634, 269, 15850, 666, 849, 1689, 824, 6547, 538, 519, 1560, 267, 1519, 1973, 2604, 267, 4295, 1560, 2837, 267, 543, 2960, 269, 25530, 4568, 666, 1118, 513, 1268, 1745, 15911, 1247, 2965, 2810, 741, 1981, 540, 7092, 689, 4411, 269, 26243, 267, 4568, 666, 1118, 513, 1268, 1745, 15381, 547, 824, 2042, 538, 519, 1604, 267, 1519, 2837, 267, 543, 621, 666, 2014, 1166, 5241, 610, 1025, 5241, 538, 519, 3068, 610, 824, 2127, 540, 519, 2960, 269, 2368, 540, 891, 2837, 5829, 4220, 616, 811, 5906, 982, 1866, 563, 268, 634, 4568, 23574, 5114, 281, 2690, 1082, 1004, 267, 513, 4837, 540, 9174, 610, 533, 842, 540, 14420, 666, 2014, 1166, 5241, 538, 519, 3068, 267, 543, 519, 811, 519, 1268, 10425, 267, 519, 2699, 1457, 741, 2960, 3587, 543, 519, 25858, 1512, 741, 4064, 1205, 269, 901, 1826, 540, 2960, 1166, 5241, 267, 799, 4386, 6140, 538, 519, 3068, 855, 666, 2408, 782, 936, 519, 1560, 267, 568, 1813, 547, 606, 15110, 3668, 540, 513, 6797, 11747, 267, 620, 24957, 13204, 4088, 848, 269, 901, 11747, 2337, 519, 6797, 2736, 1524, 4568, 883, 1114, 6675, 602, 666, 581, 8311, 1242, 856, 540, 519, 1560, 282, 2705, 267, 1510, 2614, 540, 713, 11747, 267, 13802, 689, 7558, 532, 4568, 1628, 909, 538, 519, 1560, 543, 666, 2014, 1166, 5241, 538, 519, 2960, 269, 4014, 513, 1025, 2313, 610, 23574, 538, 519, 3068, 689, 513, 1906, 32122, 540, 4568, 568, 711, 20244, 5906, 267, 519, 3668, 540, 620, 24957, 13204, 4088, 848, 568, 513, 1129, 540, 824, 1761, 2175, 269, 634, 6090, 2404, 609, 1447, 540, 713, 11747, 723, 849, 1044, 2404, 609, 606, 2799, 1981, 540, 1965, 23569, 2860, 543, 5312, 1164, 1973, 2604, 269, 2755, 6704, 1932, 1454, 568, 513, 1981, 3815, 585, 1312, 540, 891, 2175, 19037, 267, 519, 4389, 6797, 11747, 1797, 602, 1004, 945, 23574, 723, 513, 2362, 8417, 547, 519, 6757, 2360, 540, 4568, 282, 16220, 267, 713, 1797, 789, 616, 811, 693, 1981, 585, 891, 1279, 3856, 1072, 2042, 563, 268, 31687, 908, 689, 6704, 1932, 1454, 281, 2290, 540, 519, 811, 1455, 2427, 2360, 689, 6704, 1932, 1454, 568, 24852, 269, 15380, 267, 519, 1560, 4418, 1846, 547, 2539, 922, 2837, 998, 21381, 269, 11644, 267, 3636, 2395, 267, 543, 905, 951, 616, 782, 4128, 602, 513, 1268, 1522, 17570, 282, 824, 4128, 1331, 883, 343, 1709, 689, 5061, 610, 4568, 7868, 6797, 666, 9108, 8311, 1125, 827, 835, 7674, 540, 4568, 829, 5662, 282, 10438, 811, 982, 835, 7674, 4679, 519, 1973, 4568, 1543, 630, 289, 3722, 264, 5488, 267, 543, 519, 1268, 786, 2253, 547, 2408, 610, 1745, 883, 343, 5344, 269, 1677, 343, 1231, 689, 519, 6797, 779, 14887, 8311, 1944, 540, 4568, 786, 1628, 909, 538, 519, 1560, 267, 4929, 1896, 2242, 547, 519, 2634, 543, 875, 8219, 1599, 269, 15850, 779, 13802, 23822, 1973, 8043, 2429, 519, 1560, 269, 901, 1281, 267, 538, 851, 267, 2491, 1025, 5241, 610, 1166, 5241, 538, 519, 2960, 950, 513, 1268, 3587, 26583, 282, 2705, 267, 546, 7976, 540, 891, 8043, 568, 849, 1455, 950, 513, 1268, 4418, 1846, 1813, 547, 1560, 2837, 2242, 269, 634, 1560, 949, 2253, 547, 17570, 538, 3210, 547, 2242, 538, 519, 1973, 8043, 269, 634, 1560, 949, 849, 2253, 547, 1745, 15911, 267, 855, 713, 568, 22801, 282, 4568, 3335, 24506, 519, 4295, 1560, 2837, 267, 543, 24852, 666, 2539, 621, 1256, 2417, 563, 268, 15448, 547, 1560, 2837, 281, 634, 1560, 779, 2837, 568, 3812, 538, 2620, 8219, 267, 609, 519, 2634, 267, 2295, 267, 543, 6797, 1373, 519, 3119, 2959, 540, 1560, 3002, 269, 1879, 513, 1268, 7575, 741, 20258, 6091, 267, 971, 607, 1282, 3635, 267, 713, 1184, 849, 7472, 513, 2603, 540, 3002, 269, 634, 1184, 540, 12536, 267, 2523, 998, 519, 6797, 267, 2242, 1560, 2837, 282, 950, 519, 6797, 8311, 3278, 513, 2603, 540, 4568, 267, 713, 666, 1291, 547, 4743, 3636, 267, 607, 519, 6797, 3947, 1055, 513, 2603, 540, 3002, 269, 1717, 267, 519, 1964, 540, 519, 1560, 949, 1831, 21617, 1247, 519, 6797, 1568, 936, 5503, 547, 8311, 1125, 4568, 7868, 10593, 538, 1973, 3761, 2429, 519, 1560, 1107, 2938, 538, 1166, 5241, 543, 5433, 538, 2837, 2242, 1107, 2965, 2014, 519, 1560, 547, 5305, 811, 3002, 269, 1717, 267, 1317, 519, 1268, 7959, 15911, 267, 789, 798, 711, 5469, 602, 741, 4295, 1560, 2837, 568, 2469, 1524, 267, 607, 1973, 8043, 4228, 543, 17570, 3123, 3002, 547, 4734, 519, 1560, 269, 2201, 15911, 2395, 267, 713, 949, 2014, 513, 1268, 547, 1745, 562, 1021, 730, 610, 546, 714, 5414, 282, 2705, 267, 593, 4411, 1256, 902, 267, 2523, 1282, 519, 5162, 267, 6704, 1932, 1454, 666, 1831, 5906, 269, 4658, 949, 7340, 827, 741, 10359, 610, 1491, 621, 1055, 267, 513, 7613, 1572, 519, 14420, 29075, 610, 4568, 27972, 752, 1317, 789, 723, 1185, 1932, 1454, 547, 4235, 543, 789, 1745, 1932, 3636, 585, 741, 9018, 5957, 269, 769, 1360, 4411, 4025, 267, 1498, 267, 513, 1268, 945, 1281, 711, 8275, 602, 621, 568, 5393, 4411, 267, 543, 602, 741, 1560, 779, 4295, 2837, 568, 13302, 267, 568, 693, 1981, 540, 7092, 2042, 899, 3834, 1278, 8926, 563, 268, 12182, 30303, 281, 1879, 519, 2360, 540, 4568, 5957, 1055, 267, 513, 1268, 949, 1745, 3905, 30303, 607, 851, 540, 519, 13793, 1478, 1995, 269, 3958, 267, 1004, 945, 6560, 609, 5230, 6704, 267, 28675, 6704, 267, 610, 589, 11070, 949, 849, 1995, 3905, 30303, 269, 901, 568, 3361, 676, 519, 13346, 3666, 540, 10399, 538, 519, 1560, 269, 12182, 30303, 616, 513, 1634, 10835, 540, 22797, 1107, 513, 1689, 538, 17441, 21356, 602, 4386, 538, 4587, 2021, 1107, 855, 4568, 666, 849, 2800, 519, 25012, 1062, 267, 799, 21356, 10399, 2429, 519, 1560, 563, 7922, 5241, 689, 513, 2034, 4837, 540, 9174, 568, 711, 5739, 267, 855, 11173, 547, 4235, 1223, 1291, 547, 1896, 2042, 538, 519, 1560, 267, 1519, 9620, 547, 2226, 4295, 1560, 2837, 267, 24852, 267, 543, 2799, 1981, 540, 1279, 3856, 1072, 2042, 267, 689, 2295, 2068, 547, 2860, 269, 0, 19616, 4306, 5508, 744, 7838, 717, 19181, 2894, 12813, 3198, 4811, 723, 5810, 693, 930, 942, 1282, 741, 3395, 4783, 269, 3509, 267, 540, 1576, 267, 616, 15022, 22954, 12630, 5097, 585, 519, 5810, 789, 3132, 269, 3509, 3730, 7786, 1265, 519, 5810, 1175, 607, 10694, 607, 649, 798, 267, 855, 585, 1114, 4128, 563, 23044, 619, 8385, 2919, 607, 1397, 344, 2242, 547, 4482, 519, 3007, 540, 7786, 585, 26853, 269, 13536 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 338, 547, 519, 3318, 29282, 267, 1102, 16623, 267, 3926, 23769, 5725, 267, 610, 3239, 1747, 6868, 269, 1215, 1677, 589, 6153, 256, 5192, 707, 1870, 6881, 2813, 2221, 256, 476, 1428, 563, 290, 2444, 3385, 910, 17948, 6355, 27484, 269, 595, 2444, 1228, 568, 513, 11684, 17948, 10959, 609, 513, 2241, 267, 6198, 12716, 269, 2060, 621, 596, 666, 1711, 1175, 827, 1022, 6881, 267, 689, 7616, 13668, 267, 2022, 10131, 8039, 267, 2344, 1382, 267, 610, 2319, 2866, 269, 1703, 616, 476, 6344, 3860, 15942, 609, 513, 3099, 540, 29282, 269, 898, 6403, 338, 3710, 609, 2973, 267, 2653, 547, 1957, 267, 1689, 2681, 6163, 267, 543, 875, 547, 1305, 909, 513, 1434, 267, 2882, 513, 12829, 27748, 7732, 269, 476, 1626, 563, 18933, 1170, 13910, 910, 3687, 2711, 17948, 22276, 269, 901, 18230, 2511, 17948, 10959, 568, 513, 5929, 689, 938, 2037, 341, 6737, 10369, 21287, 269, 898, 6403, 338, 3710, 676, 4432, 924, 2278, 20336, 311, 9188, 793, 269, 634, 11768, 2511, 568, 8766, 267, 543, 621, 2934, 12050, 946, 540, 827, 1462, 2762, 543, 5546, 269, 1215, 1677, 21261, 894, 256, 901, 4207, 623, 8976, 10959, 568, 1390, 585, 2123, 610, 9746, 946, 563, 2005, 2882, 521, 5585, 267, 11029, 27515, 267, 3239, 543, 1257, 1747, 6868, 267, 543, 5100, 3615, 602, 616, 2653, 547, 12575, 609, 519, 3769, 26598, 11711, 269, 476, 1704, 269, 2725, 17383, 910, 17948, 19809, 22276, 269, 2725, 17383, 623, 8976, 6881, 10959, 814, 476, 1911, 2189, 15942, 269, 898, 6403, 338, 2966, 609, 513, 8766, 2511, 267, 855, 568, 7768, 540, 513, 1297, 540, 3860, 2934, 267, 1519, 513, 2407, 25819, 540, 281, 13472, 29282, 267, 2789, 2681, 5079, 267, 24069, 267, 1102, 4919, 3681, 267, 12125, 267, 11708, 267, 543, 811, 269, 1403, 596, 723, 1950, 1344, 547, 5838, 267, 713, 10959, 666, 948, 596, 14458, 621, 1524, 609, 1175, 519, 1318, 13472, 585, 1142, 5057, 540, 707, 9623, 269, 901, 1259, 267, 596, 666, 3640, 8903, 2093, 883, 707, 6881, 267, 543, 3948, 2243, 267, 10544, 707, 5304, 256, 476, 1240, 269, 4460, 6349, 910, 7073, 17948, 22276, 269, 1403, 596, 991, 547, 5838, 513, 3860, 1523, 267, 17945, 513, 1870, 5304, 267, 610, 23666, 707, 9164, 267, 713, 6687, 17123, 6881, 10959, 568, 513, 1390, 3903, 563, 15812, 6349, 814, 513, 8766, 267, 3860, 12716, 609, 936, 476, 18231, 2189, 13472, 6272, 269, 1215, 1677, 21261, 894, 256, 898, 6403, 338, 1390, 952, 596, 991, 513, 1804, 1297, 540, 13472, 11768, 3681, 547, 844, 7627, 1957, 267, 1628, 707, 6881, 609, 269, 898, 2934, 513, 8903, 3575, 540, 13472, 6272, 267, 971, 607, 281, 2319, 267, 28868, 267, 3028, 3817, 267, 3457, 267, 14499, 7515, 267, 19922, 20502, 267, 1102, 16623, 267, 12125, 267, 9979, 267, 11295, 1239, 267, 7265, 1229, 9623, 267, 7851, 267, 543, 811, 269, 476, 866, 269, 11822, 623, 8976, 910, 17948, 19809, 5071, 269, 634, 11822, 17948, 10959, 568, 2966, 676, 4432, 924, 2278, 4943, 553, 793, 269, 2422, 621, 585, 9746, 8804, 14245, 610, 811, 3860, 1870, 14245, 563, 4407, 621, 6403, 338, 14095, 609, 1374, 3681, 267, 621, 6403, 338, 14764, 547, 581, 2653, 547, 875, 547, 1305, 909, 513, 1434, 12819, 267, 960, 609, 269, 4828, 26269, 256, 634, 623, 8976, 3758, 568, 1759, 593, 9457, 6215, 1938, 267, 2653, 547, 12575, 12829, 9209, 267, 543, 1305, 909, 513, 1434, 267, 835, 26487, 2681, 2242, 269, 1703, 616, 936, 476, 1911, 2189, 13472, 6272, 267, 609, 513, 2407, 5542, 540, 1957, 3860, 29282, 269, 1403, 596, 1616, 513, 2973, 6249, 609, 513, 3575, 540, 12383, 267, 1102, 16623, 267, 543, 1870, 15942, 267, 1287, 713, 11822, 623, 8976, 10959, 568, 12819, 267, 513, 16771, 6759, 1326, 621, 1631, 256, 476, 736, 269, 31177, 3122, 910, 7073, 17948, 19809, 22276, 269, 4828, 6168, 11334, 256, 901, 568, 513, 4190, 623, 8976, 10959, 267, 609, 513, 31042, 8766, 1374, 267, 543, 5140, 3666, 540, 3860, 2609, 563, 2005, 6403, 338, 14095, 609, 17615, 6272, 1996, 513, 29814, 17198, 269, 1656, 621, 2934, 936, 476, 1911, 1688, 18705, 13472, 6272, 267, 22023, 626, 1043, 946, 540, 30305, 10344, 267, 2413, 23935, 267, 543, 2973, 29282, 269, 1403, 596, 723, 513, 3860, 610, 5499, 1870, 6881, 547, 5838, 267, 713, 5295, 4812, 10959, 568, 513, 8903, 10959, 547, 12819, 267, 960, 609, 256, 476, 274, 11822, 17948, 19809, 9669, 269, 3371, 616, 1614, 2656, 6881, 4388, 563, 5445, 6403, 961, 948, 596, 1374, 513, 2312, 6881, 609, 513, 8766, 1374, 269, 4746, 267, 2995, 513, 12300, 3308, 1650, 609, 513, 5059, 6881, 269, 476, 272, 269, 3399, 2060, 513, 3687, 2711, 623, 8976, 22276, 269, 1411, 1616, 547, 3442, 513, 2241, 17948, 10959, 602, 13352, 707, 2115, 1134, 269, 898, 1058, 849, 581, 593, 16654, 585, 707, 6216, 267, 609, 513, 1374, 602, 6403, 338, 711, 1152, 10694, 267, 855, 513, 1390, 6474, 547, 596, 610, 707, 1870, 269, 11822, 623, 8976, 16574, 919, 910, 2139, 585, 9042, 593, 2037, 341, 6737, 10369, 630, 20877, 545, 5211, 264, 634, 17074, 1657, 782, 723, 513, 8766, 2511, 267, 609, 3860, 13472, 6272, 267, 855, 789, 2039, 538, 6988, 269, 2368, 616, 14095, 609, 2934, 267, 1247, 1866, 616, 29765, 269, 1403, 596, 723, 547, 2285, 707, 6881, 676, 519, 1439, 540, 519, 3018, 267, 1287, 3442, 513, 10959, 602, 6403, 338, 2731, 2653, 547, 960, 609, 543, 814, 3908, 2934, 267, 899, 891, 281, 634, 11822, 623, 8976, 22276, 568, 513, 1434, 3903, 538, 713, 2013, 267, 1317, 621, 3947, 596, 2241, 267, 6198, 6272, 267, 855, 711, 606, 593, 883, 519, 3552, 11566, 1297, 540, 1305, 909, 1557, 3681, 269, 5753, 4828, 2201, 3733, 256, 2107, 519, 12384, 17948, 10959, 568, 513, 1434, 267, 513, 31042, 3903, 609, 513, 3908, 4183, 1305, 269, 5637, 616, 2656, 547, 960, 609, 547, 1628, 513, 1390, 6881, 3728, 563, 292, 2416, 540, 891, 623, 8976, 17074, 666, 581, 16419, 3533, 609, 513, 3318, 20104, 269, 24641, 267, 952, 596, 6403, 516, 8888, 14245, 585, 707, 8116, 610, 23492, 543, 991, 2789, 3681, 267, 596, 666, 1205, 513, 2973, 8766, 2511, 17948, 602, 568, 14095, 609, 513, 581, 11803, 540, 2934, 267, 971, 607, 281, 2789, 13472, 1374, 3681, 267, 1102, 16623, 267, 3926, 23769, 5725, 267, 8749, 7146, 1673, 1886, 32262, 267, 543, 811, 269, 769, 713, 2013, 267, 519, 2413, 17948, 10959, 17502, 3757, 1131, 581, 606, 5140, 3903, 269, 476, 1001, 272, 256, 898, 6403, 338, 14095, 609, 10342, 267, 855, 2934, 513, 8766, 2511, 1374, 269, 4746, 267, 950, 7446, 513, 10959, 267, 1810, 6403, 339, 1745, 899, 596, 723, 547, 1118, 946, 540, 1169, 4183, 789, 2097, 609, 563, 21156, 267, 1152, 946, 519, 12819, 1557, 267, 3334, 602, 3514, 707, 5048, 1134, 269, 6258, 811, 827, 875, 547, 844, 7627, 267, 21160, 513, 17948, 10959, 538, 713, 5850, 281, 476, 273, 269, 5457, 281, 10815, 568, 10705, 2859, 13229, 269, 2422, 1374, 547, 7485, 1927, 707, 2798, 543, 1291, 707, 5304, 998, 707, 6881, 269, 1280, 1142, 13472, 3442, 513, 1374, 602, 1655, 13352, 519, 1570, 269, 1215, 1677, 589, 6153, 4828, 256, 1323, 1102, 4919, 949, 581, 1655, 585, 9306, 1239, 267, 6466, 513, 13354, 13472, 949, 581, 1318, 585, 6029, 875, 707, 2709, 15320, 689, 519, 6735, 267, 543, 513, 19922, 666, 13686, 707, 2319, 610, 2472, 269, 4518, 609, 519, 13472, 29282, 602, 1655, 3514, 707, 5048, 563, 16605, 538, 2247, 1498, 267, 513, 8766, 13472, 1374, 568, 4443, 585, 606, 5304, 547, 1224, 543, 1174, 269, 9045, 790, 6168, 11334, 256, 1358, 666, 1832, 3950, 540, 707, 2798, 543, 1305, 909, 513, 1434, 12819, 1557, 267, 1246, 2059, 609, 707, 6881, 269, 6875, 1416, 602, 596, 1810, 6403, 339, 2119, 547, 3640, 1932, 1454, 1344, 883, 707, 13472, 6272, 610, 936, 4777, 621, 269, 9045, 790, 11334, 256, 1411, 1810, 1405, 1616, 1932, 1082, 23877, 610, 6821, 540, 1257, 602, 1131, 8267, 332, 707, 5304, 267, 3079, 1832, 707, 13472, 6272, 5059, 269, 3680, 804, 13616, 543, 10539, 267, 543, 1305, 909, 12819, 1557, 267, 2832, 585, 9355, 269, 6258, 811, 827, 844, 7627, 875, 547, 1374, 606, 2500, 6881, 538, 713, 5850, 281, 476, 274, 269, 10312, 2659, 19809, 24606, 269, 5071, 3884, 6403, 339, 519, 1152, 6161, 950, 13167, 707, 6881, 269, 5590, 5455, 589, 6153, 21261, 894, 4828, 256, 2659, 5048, 568, 519, 30978, 6735, 267, 9920, 267, 6466, 1374, 568, 1175, 519, 6174, 621, 12599, 538, 563, 17637, 7028, 707, 2798, 267, 855, 1101, 267, 596, 991, 513, 1134, 3620, 19861, 2239, 269, 1677, 2253, 13167, 513, 8903, 1650, 585, 707, 6881, 267, 2322, 707, 5304, 1101, 269, 1411, 991, 547, 513, 1434, 12819, 1557, 267, 1832, 741, 3007, 267, 2232, 741, 2115, 267, 543, 2743, 741, 6788, 269, 6333, 281, 4208, 789, 616, 4947, 547, 707, 6881, 286, 1548, 2055, 789, 1223, 723, 286, 1215, 789, 1522, 2746, 547, 707, 3119, 5048, 286, 634, 811, 540, 3948, 2243, 891, 2798, 596, 2232, 267, 519, 1732, 707, 6881, 786, 13469, 609, 873, 563, 9596, 811, 827, 875, 547, 4739, 513, 10388, 6881, 281, 1656, 1810, 6403, 339, 2253, 8888, 2394, 596, 6403, 557, 3893, 707, 6881, 2854, 267, 707, 5048, 2312, 267, 543, 519, 1239, 596, 1616, 547, 1459, 4712, 547, 960, 609, 269, 1656, 1118, 2386, 596, 723, 513, 8903, 13622, 543, 875, 547, 1557, 267, 1650, 547, 2995, 269, 3973, 6108, 942, 28976, 707, 6881, 865, 602, 621, 6403, 338, 2653, 547, 1174, 269, 1403, 707, 5048, 568, 15458, 267, 1287, 14458, 621, 269, 1403, 596, 14095, 1932, 1454, 883, 513, 13472, 267, 1287, 2759, 621, 1524, 585, 9355, 269, 6258, 811, 827, 875, 547, 5098, 3948, 2243, 267, 2328, 513, 17948, 6881, 281, 8073, 513, 11822, 267, 13229, 17948, 19809, 269, 589, 6153, 256, 10558, 532, 609, 9355, 2337, 596, 3715, 6392, 543, 3972, 609, 707, 5304, 563, 4517, 513, 4276, 609, 707, 5304, 2636, 596, 547, 1118, 707, 2035, 2312, 543, 707, 2798, 8258, 3020, 267, 799, 5012, 547, 4657, 8186, 543, 10888, 9388, 256, 5131, 26496, 593, 10435, 4279, 10558, 725, 269, 8281, 634, 13159, 6651, 547, 593, 1250, 267, 10435, 4279, 10558, 725, 1631, 585, 513, 1434, 1557, 17676, 609, 513, 20478, 547, 1453, 1557, 593, 1250, 267, 519, 570, 7491, 266, 6355, 5240, 12072, 269, 4828, 256, 5192, 707, 2093, 4646, 883, 19320, 7658, 332, 11030, 476, 276, 268, 279, 267, 513, 3532, 6881, 602, 786, 1847, 707, 5304, 269, 2859, 4279, 17948, 20861, 8249, 563, 2252, 596, 991, 2417, 1344, 827, 875, 547, 4739, 513, 8903, 6881, 267, 1934, 616, 3606, 17948, 18862, 543, 4388, 281, 3400, 321, 513, 11822, 17948, 22276, 4653, 256, 589, 8766, 2511, 17948, 568, 513, 1390, 3903, 585, 513, 2647, 3099, 540, 14245, 269, 21261, 894, 256, 1284, 723, 513, 1297, 540, 623, 8976, 16574, 919, 547, 3442, 689, 593, 2037, 341, 6737, 10369, 610, 19584, 998, 938, 1655, 9513, 17948, 17074, 269, 19080, 15048, 256, 6258, 875, 547, 3533, 21160, 707, 17948, 10959, 543, 1376, 707, 6881, 1055, 609, 513, 3318, 1374, 256, 2037, 341, 6737, 570, 7491, 266, 18862, 616, 12261, 883, 824, 4654, 676, 938, 2146, 2818, 9767, 666, 581, 3238, 1932, 2336, 2237, 3733, 3194, 7433, 585, 2725, 20620, 2752, 294, 9331, 7728, 288, 20937, 623, 4338, 2207, 31031, 308, 6311, 13543, 454, 655, 3205, 519, 875, 547, 12819, 3594, 1496, 1607, 1557, 729, 2322, 1927, 1310, 2506, 3205, 781, 2669, 689, 513, 1297, 540, 30134, 618, 543, 2147, 9607, 646, 1185, 1500, 269, 898, 5526, 538, 634, 13159, 13360, 902, 540, 2565, 3594, 519, 3552, 267, 25453, 9546, 4777, 2506, 3205, 2073, 12995, 676, 11977, 2506, 3205, 316, 589, 1007, 4110, 540, 7214, 1379, 4667, 10464, 693, 1022, 3902, 269, 589, 6153, 269, 634, 946, 540, 519, 1158, 568, 602, 812, 949, 1451, 922, 4031, 269, 1656, 519, 1480, 5198, 723, 20617, 1129, 1881, 741, 2631, 540, 713, 267, 676, 10912, 5763, 267, 1797, 734, 2494, 1373, 519, 1439, 563, 23458, 568, 2141, 8797, 269, 4475, 594, 17192, 1715, 4789, 1317, 621, 568, 519, 2197, 538, 519, 1158, 1141, 568, 519, 1954, 652, 18820, 585, 2069, 269, 1284, 723, 2907, 3144, 267, 693, 1557, 1063, 476, 272, 268, 275, 27356, 22040, 476, 276, 268, 279, 519, 9544, 540, 519, 16690, 625, 630, 1721, 513, 9853, 594, 917, 585, 519, 1101, 942, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 278, 476, 6021, 281, 3393, 7537, 29643, 3367, 338, 281, 476, 272, 267, 18357, 454, 2026, 6531, 10073, 5170, 547, 2981, 1870, 267, 2221, 781, 2518, 16904, 616, 13934, 609, 5883, 513, 3395, 2179, 540, 1344, 2713, 3544, 540, 519, 1239, 4099, 269, 634, 4028, 10073, 540, 14164, 543, 5051, 5985, 13781, 616, 12615, 908, 519, 1966, 269, 23496, 5150, 1239, 4687, 543, 3608, 19307, 13514, 4390, 543, 19961, 9270, 607, 1134, 607, 3609, 543, 9431, 10220, 2152, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6021, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 272, 267, 278, 4343, 454, 19285, 1589, 602, 3025, 17767, 602, 585, 14164, 547, 2731, 8275, 922, 2407, 1761, 543, 1871, 602, 621, 568, 827, 2870, 8134, 543, 2344, 17541, 543, 602, 1100, 2582, 29449, 568, 2111, 547, 1489, 1018, 568, 2838, 2437, 6045, 10507, 1067, 531, 6767, 4210, 691, 345, 267, 966, 303, 267, 16373, 27617, 543, 13192, 693, 18238, 26856, 267, 538, 713, 20219, 306, 4211, 2177, 6745, 341, 5967, 693, 7711, 28830, 2750, 17763, 267, 4371, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6021, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 25090, 454, 310, 5622, 539, 676, 519, 9153, 540, 5488, 5647, 267, 2539, 570, 4596, 267, 543, 3152, 22231, 267, 4213, 540, 1169, 3337, 543, 2450, 723, 17947, 519, 6531, 693, 1169, 4494, 540, 519, 8668, 10518, 1107, 689, 8924, 547, 3758, 4687, 547, 5989, 269, 634, 6093, 3919, 4867, 3096, 811, 982, 513, 18797, 7254, 794, 539, 6531, 8924, 543, 786, 6521, 811, 982, 3368, 540, 782, 24913, 338, 547, 519, 6531, 676, 476, 1001, 279, 269, 6270, 6531, 9541, 723, 9447, 22905, 2640, 269, 1809, 789, 4076, 849, 8507, 538, 930, 26516, 2427, 13716, 338, 281, 6988, 543, 1981, 269, 4429, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6021, 281, 876, 7537, 29643, 3367, 338, 281, 476, 9032, 272, 454, 288, 9490, 3364, 568, 8345, 2059, 519, 1259, 547, 519, 5769, 540, 12085, 267, 12077, 2484, 1932, 1082, 3457, 547, 960, 609, 543, 4383, 269, 898, 814, 1831, 2312, 602, 649, 3513, 991, 1454, 2362, 4398, 3593, 2833, 602, 666, 1450, 721, 547, 811, 3362, 543, 9470, 2406, 960, 609, 519, 5215, 540, 3457, 602, 786, 4166, 581, 538, 1142, 540, 938, 2729, 269, 9373, 519, 17187, 8818, 4838, 267, 9256, 536, 1824, 649, 666, 12777, 2911, 609, 267, 23972, 547, 267, 543, 1256, 1463, 609, 938, 4555, 267, 609, 11251, 5841, 4987, 267, 627, 545, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 5881, 281, 3393, 7537, 29643, 3367, 338, 281, 476, 30156, 454, 2005, 568, 835, 3364, 547, 1628, 2582, 4853, 14164, 3156, 267, 855, 1018, 786, 621, 1491, 547, 1628, 519, 12829, 20079, 543, 5963, 2486, 4657, 3156, 540, 519, 2104, 286, 634, 2029, 4465, 1406, 581, 519, 1966, 267, 621, 786, 581, 519, 1297, 540, 6105, 602, 991, 547, 960, 1927, 543, 581, 13988, 538, 741, 8404, 547, 8011, 269, 769, 1010, 4303, 476, 273, 3223, 2106, 1774, 693, 7711, 28830, 2750, 17763, 267, 7009, 20891, 8230, 8643, 667, 22844, 326, 1066, 267, 5800, 12859, 16373, 15440, 693, 18238, 26856, 267, 5941, 875, 547, 1544, 547, 28111, 267, 7649, 267, 543, 1106, 9434, 782, 3613, 541, 6887, 547, 1689, 519, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 5881, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 275, 267, 16348, 454, 2691, 2679, 1804, 267, 6531, 2861, 3156, 602, 7500, 693, 513, 1164, 4336, 267, 621, 779, 1271, 547, 2226, 513, 1164, 8244, 543, 6043, 547, 14286, 269, 769, 1931, 547, 798, 602, 267, 596, 1590, 581, 27031, 540, 14286, 267, 1256, 538, 1769, 540, 14286, 538, 824, 2127, 540, 707, 3498, 269, 968, 293, 569, 1079, 9073, 1164, 892, 568, 606, 2025, 740, 720, 538, 519, 5925, 1852, 20987, 15908, 269, 898, 1797, 267, 8038, 1164, 2614, 865, 602, 952, 596, 1118, 513, 12161, 267, 596, 666, 3136, 10760, 609, 4055, 547, 1869, 1118, 9073, 269, 769, 1010, 8400, 693, 476, 1240, 628, 13192, 5890, 334, 267, 10557, 589, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 5881, 281, 876, 7537, 29643, 3367, 338, 281, 476, 276, 267, 27543, 454, 14071, 2811, 513, 2518, 7307, 16475, 8502, 269, 3776, 4295, 6075, 1305, 568, 513, 772, 2529, 11607, 22372, 6075, 602, 568, 3168, 547, 979, 2518, 2223, 6045, 14088, 29124, 267, 19737, 10615, 693, 4888, 13052, 8656, 267, 538, 713, 20219, 306, 4211, 2177, 6745, 341, 5967, 693, 476, 1240, 628, 13192, 5890, 334, 267, 4371, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6860, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 272, 267, 27843, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 12380, 9142, 267, 519, 19466, 2228, 12380, 543, 6531, 2866, 3760, 543, 2146, 267, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 12380, 9142, 729, 8547, 593, 519, 3661, 602, 3246, 1164, 7779, 267, 538, 3829, 2866, 1058, 581, 2139, 693, 606, 10097, 3902, 269, 12752, 3401, 538, 2298, 2866, 267, 3177, 2533, 267, 543, 2875, 13995, 10596, 267, 922, 3804, 568, 547, 524, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 3393, 7537, 29643, 3367, 338, 281, 476, 4817, 278, 454, 10574, 568, 519, 4492, 602, 11479, 519, 3684, 1565, 5690, 545, 9817, 543, 6038, 2488, 519, 1870, 1871, 269, 769, 1010, 8400, 693, 476, 736, 628, 13192, 5890, 334, 267, 3798, 3171, 1430, 8725, 267, 8689, 4882, 523, 1640, 13055, 4056, 693, 20985, 31173, 267, 786, 1865, 519, 1883, 9270, 1472, 2298, 267, 4320, 267, 4626, 17165, 267, 543, 7895, 580, 872, 602, 1590, 581, 18808, 609, 538, 1931, 547, 5265, 4492, 602, 2599, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 274, 267, 277, 4510, 454, 10048, 3011, 20445, 616, 8508, 519, 11633, 5769, 519, 1482, 1259, 6800, 616, 16107, 28546, 23605, 1107, 547, 2087, 2949, 1072, 543, 9716, 269, 5637, 666, 1683, 5812, 6482, 267, 15287, 267, 543, 2303, 2773, 9283, 16419, 547, 948, 3914, 3853, 269, 28546, 4226, 3755, 666, 2070, 1483, 6066, 1239, 543, 1118, 11941, 547, 2333, 741, 2534, 269, 769, 1010, 8400, 693, 7711, 28830, 2750, 17763, 267, 4460, 12672, 16037, 12333, 7896, 26064, 267, 17113, 267, 693, 23817, 7913, 267, 5941, 875, 16107, 519, 11633, 5769, 543, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 278, 267, 277, 2537, 454, 290, 4321, 17270, 568, 4742, 519, 5748, 585, 513, 1007, 5108, 540, 3435, 602, 723, 519, 1761, 547, 2981, 1870, 269, 9521, 2757, 4485, 547, 2679, 3435, 267, 513, 5042, 7384, 1935, 2636, 519, 1239, 547, 948, 3313, 519, 1259, 3156, 616, 2966, 269, 901, 24716, 609, 6671, 3301, 1646, 602, 5956, 609, 10747, 7954, 1759, 593, 519, 1699, 1259, 513, 1870, 13333, 269, 769, 1200, 8400, 693, 476, 1240, 628, 13192, 5890, 334, 267, 7225, 603, 590, 269, 15049, 21032, 267, 5518, 543, 16628, 540, 15049, 21032, 1299, 4429, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 876, 7537, 29643, 3367, 338, 281, 476, 272, 267, 3583, 279, 0, 26422, 2775, 543, 32416, 281, 3220, 22186, 787, 333, 14986, 454, 1692, 1082, 2053, 723, 596, 4862, 713, 888, 31415, 1248, 1055, 602, 8613, 267, 2490, 1055, 602, 2780, 256, 1411, 6108, 1932, 1454, 942, 890, 1359, 883, 13819, 543, 596, 3513, 1439, 909, 14124, 707, 32416, 25692, 11039, 267, 1007, 1382, 2982, 602, 596, 949, 1175, 723, 547, 2097, 909, 609, 1776, 2601, 547, 1205, 1346, 1055, 16181, 15181, 563, 763, 17638, 3733, 18701, 5530, 3238, 811, 982, 476, 275, 267, 1822, 5729, 476, 272, 543, 5729, 476, 278, 1153, 1053, 563, 763, 1353, 11943, 602, 972, 781, 513, 1463, 4276, 1063, 1434, 32416, 543, 519, 2179, 540, 942, 1453, 6108, 13964, 563, 268, 3220, 22186, 787, 333, 14986, 454, 268, 20513, 2986, 2657, 7070, 267, 2160, 2986, 17638, 454, 268, 9400, 589, 9037, 454, 268, 2549, 7701, 28226, 454, 268, 23715, 4471, 14639, 17664 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18316, 994, 1038, 585, 4737, 538, 5467, 912, 2018, 4363, 8217, 314, 992, 9131, 11243, 11172, 316, 815, 4737, 9131, 15575, 23300, 825, 2132, 4363, 8217, 7531, 25669, 4590, 5320, 815, 1412, 7055, 6112, 6936, 912, 825, 2262, 815, 3403, 3488, 11767, 281, 5073, 825, 952, 2262, 2652, 1412, 12466, 1038, 1820, 3488, 24662, 20693, 505, 7430, 363, 417, 379, 483, 421, 510, 486, 7430, 356, 7430, 503, 12486, 5073, 825, 3116, 912, 1038, 3593, 12173, 815, 2262, 454, 1038, 2736, 692, 604, 15259, 29624, 20216, 1235, 3488, 516, 5570, 754, 27406, 262, 2187, 825, 4363, 8217, 815, 1224, 12336, 341, 4590, 825, 1820, 4433, 9285, 263, 516, 5570, 754, 8217, 267, 1883, 284, 516, 5570, 754, 8217, 10947, 267, 9258, 18989, 4917, 825, 1247, 6936, 912, 1038, 2161, 273, 3488, 20625, 5073, 1038, 2262, 815, 1412, 7055, 1038, 1247, 6936, 912, 2018, 2262, 815, 3403, 3488, 11767, 281, 5073, 2018, 952, 2262, 2652, 1412, 12466, 3546, 1820, 3488, 24662, 20693, 505, 7430, 363, 417, 379, 483, 421, 510, 486, 7430, 356, 7430, 503, 12486, 5073, 2018, 3116, 912, 3546, 2736, 454, 1038, 2736, 692, 25669, 274, 263, 12528, 12173, 994, 5320, 815, 1412, 7055, 6112, 6936, 912, 825, 2262, 815, 3403, 3488, 11767, 281, 5073, 825, 952, 2262, 2652, 1412, 12466, 1038, 1820, 3488, 24662, 20693, 505, 7430, 363, 417, 379, 483, 421, 510, 486, 7430, 356, 7430, 503, 12486, 5073, 825, 3116, 912, 1038, 13962, 12173, 815, 2262, 454, 1038, 530, 597, 974, 12336, 341, 263, 6135, 4768, 656, 12173, 267, 476, 272, 994, 1038, 2736, 7531, 25669, 275, 263, 12528, 12173, 2020, 0, 26611, 23591, 24800, 270, 7090, 692, 5814, 2979, 692, 3698, 11600, 10734, 520, 2583, 263, 3285, 701, 267, 5820, 2187, 476, 21461, 815, 11713, 476, 1948, 13765, 602, 1312, 21594, 723, 519, 1482, 10569, 454, 476, 952, 1305, 263, 3285, 701, 269, 12399, 28829, 2652, 1305, 263, 532, 19263, 269, 12399, 3890, 2187, 825, 1948, 1721, 1142, 7127, 267, 2638, 5820, 269, 14403, 13843, 11600, 269, 14403, 454, 825, 1948, 20135, 5820, 5258, 676, 2179, 585, 11600, 282, 1039, 547, 21461, 454, 825, 585, 6221, 23631, 267, 2179, 23631, 538, 11600, 29096, 10031, 8587, 2698, 318, 532, 815, 5820, 10947, 263, 14403, 23631, 994, 8587, 952, 2698, 318, 532, 13843, 2179, 23631, 912, 1038, 21461, 6910, 263, 4118, 269, 28776, 6025, 4973, 318, 532, 1315, 2179, 23631, 4917, 8587, 3116, 912, 1038, 2132, 476, 271, 454, 825, 1948, 13765, 585, 519, 10545, 2179, 267, 2132, 602, 454, 825, 2132, 1295, 6262, 5995, 994, 476, 3116, 912, 825, 2132, 476, 271, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 1948, 7827, 519, 13366, 540, 891, 21594, 547, 1449, 3097, 476, 1948, 707, 6388, 609, 1114, 11378, 454, 476, 11600, 815, 2715, 1412, 332, 20488, 9166, 476, 273, 7684, 454, 476, 5820, 815, 2715, 1412, 332, 20488, 9166, 476, 1220, 8679, 476, 1820, 2891, 346, 321, 520, 2583, 348, 10627, 2583, 666, 581, 1500, 689, 519, 2139, 5820, 281, 2715, 532, 19263, 348, 1701, 269, 8971, 6357, 520, 2583, 284, 3285, 701, 10734, 520, 2583, 263, 3285, 701, 267, 5820, 1070, 5820, 284, 532, 19263, 11723, 0, 1477, 258, 4985, 547, 9226, 6769, 258, 538, 9226, 6085, 3515, 676, 1412, 258, 262, 5897, 258, 476, 272, 269, 11554, 1604, 281, 476, 273, 13819, 267, 1434, 13691, 543, 10856, 630, 31653, 8936, 547, 5985, 2780, 1040, 5897, 258, 476, 273, 269, 12305, 5124, 5752, 1893, 1477, 258, 1524, 5055, 617, 689, 9226, 3820, 7933, 5877, 338, 270, 1477, 258, 2196, 3758, 630, 572, 937, 1039, 547, 2619, 4781, 3418, 258, 2196, 519, 7329, 548, 1982, 5897, 258, 585, 10380, 5528, 585, 5839, 543, 8837, 1294, 6769, 258, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 312, 312, 311, 323, 311, 307, 273, 331, 8566, 326, 5897, 1012, 476, 274, 269, 20929, 585, 9226, 538, 12355, 6769, 1012, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 325, 301, 311, 279, 339, 298, 7224, 345, 293, 271, 261, 4289, 284, 303, 4041, 339, 313, 336, 272, 334, 291, 1602, 327, 4338, 296, 331, 298, 327, 325, 13612, 335, 322, 343, 329, 335, 311, 329, 5353, 305, 273, 345, 1477, 1012, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 329, 342, 332, 308, 6441, 279, 8811, 342, 326, 1477, 1012, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 327, 301, 340, 297, 278, 291, 665, 278, 306, 326, 1477, 1012, 1477, 258, 2296, 3391, 630, 514, 3178, 3418, 258, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 29996, 337, 299, 338, 2420, 300, 6395, 342, 261, 4289, 284, 12195, 345, 18250, 289, 294, 325, 313, 334, 275, 2173, 293, 340, 876, 336, 343, 331, 271, 320, 6858, 305, 327, 329, 329, 313, 329, 274, 329, 311, 332, 261, 8161, 284, 272, 24653, 1012, 476, 275, 269, 13691, 31930, 585, 9517, 4041, 538, 7099, 548, 269, 5897, 258, 476, 276, 269, 7179, 1477, 2745, 2891, 15916, 2622, 10590, 3418, 258, 1205, 3593, 3403, 1210, 3403, 14052, 258, 1820, 2891, 8923, 4283, 1101, 2012, 281, 834, 3418, 258, 2012, 815, 3403, 14052, 258, 1820, 32597, 609, 519, 3593, 2012, 1477, 258, 1820, 3488, 15916, 2073, 3299, 2012, 3418, 258, 1948, 1018, 786, 581, 519, 1739, 3977, 286, 1477, 258, 513, 815, 834, 320, 272, 29177, 258, 536, 815, 834, 321, 272, 29177, 258, 1820, 5416, 17070, 10142, 258, 476, 277, 269, 1239, 2010, 6769, 258, 703, 476, 271, 476, 272, 476, 273, 910, 276, 1477, 258, 1193, 834, 1168, 325, 337, 257, 834, 274, 29177, 258, 10581, 476, 274, 269, 1691, 476, 273, 269, 10170, 1477, 258, 649, 666, 1205, 519, 1826, 540, 513, 4756, 676, 1826, 4971, 1477, 258, 513, 815, 476, 273, 1477, 258, 1193, 272, 815, 834, 273, 29177, 258, 535, 272, 815, 476, 273, 269, 10170, 1477, 258, 1820, 2891, 320, 568, 540, 1826, 2073, 2580, 1826, 5416, 17903, 1012, 1820, 2891, 1598, 272, 568, 540, 1826, 2073, 2580, 1826, 19304, 272, 17903, 258, 1820, 2891, 325, 272, 568, 540, 1826, 2073, 2580, 1826, 6600, 272, 264, 10142, 258, 476, 278, 269, 25159, 20803, 14908, 1422, 3652, 6769, 258, 3112, 1376, 609, 513, 1297, 630, 4754, 1439, 609, 513, 1297, 3418, 258, 2012, 272, 910, 3656, 1477, 258, 476, 272, 4067, 2073, 14255, 803, 910, 711, 3656, 1477, 258, 2013, 2283, 894, 910, 2012, 267, 715, 28719, 2073, 8745, 267, 562, 288, 1889, 616, 782, 1114, 4632, 269, 5897, 24653, 258, 476, 279, 2855, 10379, 6769, 258, 1003, 272, 815, 476, 272, 269, 276, 1477, 258, 1003, 273, 815, 476, 276, 1477, 258, 1820, 16325, 272, 266, 11133, 273, 3418, 258, 1820, 16325, 272, 5991, 636, 273, 3418, 258, 1820, 16325, 272, 265, 11133, 273, 3418, 258, 1820, 16325, 272, 270, 11133, 273, 3418, 258, 1820, 16325, 273, 2878, 476, 273, 264, 1948, 1379, 1477, 258, 1820, 16325, 273, 2878, 476, 274, 3418, 258, 1820, 16325, 273, 2260, 11133, 272, 264, 1948, 703, 851, 540, 1821, 1707, 1477, 258, 1820, 16325, 273, 4939, 1003, 272, 264, 1948, 9074, 5897, 2162, 476, 280, 16213, 1477, 1012, 11133, 272, 815, 3403, 3488, 10938, 1003, 272, 14826, 10807, 1948, 1439, 540, 1899, 676, 1422, 333, 1477, 1012, 11133, 273, 815, 3403, 3488, 10938, 1003, 273, 14826, 20298, 1012, 2745, 16325, 272, 266, 11133, 273, 264, 1948, 1772, 713, 519, 4397, 1267, 286, 1477, 2162, 7392, 540, 3403, 568, 2141, 1193, 267, 1341, 11346, 2164, 538, 6677, 520, 1588, 1477, 2162, 595, 8463, 786, 4194, 713, 6769, 1012, 2745, 263, 15615, 16325, 272, 11924, 15615, 16325, 273, 17903, 2162, 610, 4688, 547, 4756, 1477, 1012, 637, 815, 10581, 16325, 272, 11924, 15615, 16325, 273, 3418, 1012, 2745, 263, 637, 10142, 258, 476, 1015, 269, 17148, 281, 3436, 2999, 2652, 11203, 630, 15927, 3455, 267, 4130, 267, 568, 3160, 267, 568, 711, 3160, 1477, 258, 1820, 263, 1240, 285, 273, 3418, 258, 1820, 263, 1240, 283, 273, 3418, 258, 1820, 263, 1240, 2525, 273, 264, 1948, 798, 711, 25657, 609, 1412, 284, 8339, 713, 568, 1412, 2525, 262, 1477, 258, 1820, 263, 1240, 256, 284, 273, 3418, 5897, 258, 1948, 952, 3116, 1477, 258, 1003, 815, 3403, 14052, 258, 952, 1003, 3436, 476, 271, 6769, 258, 672, 1820, 2891, 27168, 14744, 258, 3116, 6769, 258, 672, 1820, 2891, 2254, 2318, 8442, 476, 1948, 1946, 711, 2942, 286, 5897, 258, 14581, 630, 1345, 7084, 3418, 258, 476, 272, 269, 12305, 9226, 1477, 258, 476, 273, 269, 14840, 1101, 1982, 602, 1820, 834, 15916, 2622, 10590, 593, 5496, 23228, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 18143, 17270, 538, 5124, 594, 692, 258, 2999, 256, 734, 2878, 5575, 267, 519, 6167, 21197, 3848, 781, 4161, 2243, 256, 12533, 258, 18889, 321, 1662, 454, 258, 1265, 1547, 910, 6943, 535, 910, 1410, 1815, 561, 338, 910, 338, 15079, 31046, 1923, 4990, 910, 333, 1923, 2212, 910, 1015, 454, 258, 476, 8199, 258, 2608, 1432, 568, 519, 4971, 3257, 286, 1215, 814, 621, 1044, 3710, 630, 1410, 21622, 519, 3334, 21663, 265, 25341, 692, 258, 12361, 4985, 454, 258, 3097, 258, 5124, 568, 513, 2413, 267, 2653, 3562, 2914, 1679, 267, 14648, 630, 9895, 328, 16327, 6150, 264, 476, 5752, 1893, 602, 729, 22885, 609, 31824, 540, 3009, 538, 2247, 269, 898, 814, 513, 3875, 540, 4183, 11656, 15004, 602, 666, 581, 1031, 585, 513, 2647, 3099, 540, 6211, 3156, 543, 9382, 780, 258, 634, 1079, 5124, 11271, 540, 634, 300, 592, 5226, 320, 27807, 616, 5497, 547, 4001, 596, 3621, 5752, 538, 7350, 1210, 5124, 269, 21661, 1312, 891, 11271, 267, 596, 786, 1451, 912, 258, 3097, 258, 2608, 17943, 540, 5124, 16105, 543, 1239, 3889, 454, 258, 3097, 258, 2608, 5124, 781, 1843, 15129, 2934, 454, 258, 3097, 258, 2608, 4804, 547, 946, 519, 2387, 760, 3155, 319, 1604, 454, 258, 3097, 258, 2608, 1215, 547, 2328, 543, 2196, 9226, 3009, 454, 258, 3097, 258, 2608, 13760, 543, 2936, 5124, 1852, 2095, 2645, 454, 258, 3097, 258, 2608, 5675, 267, 3181, 19982, 267, 1210, 267, 543, 4152, 5124, 3252, 454, 258, 3097, 258, 2608, 4804, 3608, 10230, 5752, 538, 5124, 454, 258, 3097, 258, 2608, 4635, 2834, 7215, 538, 5124, 454, 258, 3097, 258, 2608, 4985, 547, 3226, 3730, 5124, 15004, 454, 258, 3097, 258, 2608, 4635, 5124, 547, 2196, 824, 267, 1875, 1790, 3155, 4247, 543, 3009, 454, 258, 3097, 258, 2608, 4635, 5124, 547, 15429, 1927, 1239, 2079, 543, 5924, 10230, 11191, 960, 8928, 692, 258, 630, 4962, 6261, 3155, 318, 296, 281, 3963, 1790, 3155, 6661, 454, 258, 12693, 4208, 5124, 888, 258, 3097, 258, 5124, 729, 2966, 609, 31824, 543, 556, 268, 639, 1464, 538, 2247, 269, 5384, 3144, 676, 5752, 1341, 3181, 19982, 1341, 4881, 568, 2693, 547, 581, 5266, 2539, 538, 9226, 982, 1447, 16022, 610, 804, 18636, 1229, 4654, 630, 324, 3052, 1421, 11123, 15045, 3198, 267, 3131, 331, 1040, 3097, 258, 3097, 258, 5124, 568, 513, 7168, 1434, 3070, 952, 596, 1616, 547, 3362, 2328, 28505, 3009, 602, 568, 849, 21230, 3608, 1939, 14260, 630, 5408, 519, 4137, 2630, 1040, 3097, 258, 3097, 258, 4534, 8894, 258, 2433, 15311, 346, 29664, 2173, 323, 8679, 258, 2999, 19112, 521, 21683, 284, 2668, 270, 23054, 923, 11486, 26067, 12201, 4732, 341, 326, 257, 5621, 6889, 23458, 11250, 257, 8700, 6889, 10384, 29210, 257, 11417, 258, 3097, 258, 2878, 23911, 781, 10230, 7384, 2773, 3379, 547, 930, 1866, 1262, 269, 9540, 518, 2338, 616, 1732, 269, 8074, 602, 519, 586, 14289, 568, 538, 4399, 8421, 3709, 1015, 4151, 4336, 269, 2999, 1962, 11417, 258, 630, 13126, 281, 2999, 10674, 2517, 329, 592, 658, 836, 3820, 270, 285, 994, 258, 3097, 258, 26012, 912, 258, 3097, 258, 4534, 7042, 258, 12693, 5124, 8747, 3097, 258, 3097, 258, 1284, 786, 946, 9226, 476, 274, 269, 1809, 1034, 540, 519, 3009, 538, 519, 5124, 11271, 786, 960, 538, 9226, 476, 273, 269, 278, 11859, 343, 607, 1134, 269, 1403, 596, 616, 5461, 538, 519, 9226, 476, 273, 5288, 476, 274, 1686, 267, 1496, 1348, 713, 28488, 10059, 2517, 342, 5942, 4877, 3155, 3820, 8276, 7765, 18025, 3155, 273, 528, 23911, 274, 6393, 258, 769, 314, 9948, 1384, 19638, 258, 630, 4962, 6261, 3155, 318, 296, 281, 5278, 268, 32558, 1108, 6661, 454, 258, 12693, 2368, 16166, 3097, 258, 3097 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 853, 6729, 13347, 1315, 6226, 24304, 18063, 267, 1519, 7054, 761, 762, 14332, 601, 15540, 563, 5353, 1597, 11150, 1280, 6356, 1947, 18601, 31421, 10263, 769, 634, 31071, 454, 296, 3913, 1681, 519, 14156, 6354, 11494, 2937, 4439, 569, 538, 519, 9036, 4465, 1406, 948, 267, 543, 786, 3274, 1267, 538, 519, 19838, 2958, 1190, 2623, 11173, 269, 2755, 1463, 30925, 540, 519, 1268, 11648, 596, 568, 711, 2141, 2009, 267, 2500, 267, 610, 1256, 5227, 267, 952, 519, 3510, 568, 711, 9619, 538, 930, 6073, 519, 4439, 569, 786, 3274, 3136, 547, 957, 856, 538, 606, 14156, 10728, 6073, 267, 547, 519, 1033, 337, 2939, 540, 782, 7255, 269, 1403, 596, 616, 606, 2523, 6213, 1268, 267, 596, 949, 1256, 1831, 9308, 2192, 543, 5924, 19060, 547, 16718, 707, 2816, 547, 1205, 2476, 689, 519, 5739, 2623, 269, 5502, 267, 2119, 891, 5722, 2994, 594, 2966, 602, 723, 5280, 1082, 540, 1250, 3797, 543, 18006, 7218, 6707, 2322, 543, 1439, 547, 11648, 2623, 4810, 693, 960, 912, 268, 17607, 568, 519, 1101, 1900, 269, 31158, 1578, 602, 596, 949, 581, 519, 6408, 540, 9036, 11648, 543, 602, 596, 949, 991, 948, 543, 1489, 689, 1866, 547, 6582, 585, 606, 6304, 540, 930, 2186, 547, 1439, 891, 2942, 15377, 563, 268, 7464, 1125, 602, 14156, 6354, 11494, 11648, 568, 3006, 711, 6654, 547, 1866, 952, 596, 616, 519, 835, 1373, 4481, 6098, 269, 901, 568, 1946, 621, 568, 2523, 2565, 602, 596, 3561, 519, 11648, 2623, 607, 1134, 607, 596, 666, 538, 2013, 596, 991, 547, 979, 547, 2362, 2157, 540, 6392, 585, 948, 267, 971, 607, 1480, 2200, 610, 606, 3617, 6392, 4137, 269, 4495, 596, 723, 4080, 519, 11648, 267, 621, 568, 741, 2816, 547, 4217, 596, 538, 4466, 3435, 547, 1018, 1223, 581, 513, 1950, 3510, 630, 324, 3052, 1421, 519, 4439, 569, 568, 707, 20148, 5148, 952, 519, 6392, 4137, 596, 1935, 3081, 602, 789, 3112, 948, 596, 267, 2307, 873, 945, 666, 269, 1684, 711, 3398, 2048, 296, 1810, 1406, 917, 685, 585, 606, 2626, 269, 1411, 12582, 1406, 723, 547, 6023, 713, 593, 707, 1378, 563, 268, 3657, 972, 1004, 1472, 596, 693, 960, 945, 7198, 519, 14156, 6354, 11494, 4439, 569, 2502, 538, 20025, 2623, 267, 971, 607, 3771, 23035, 596, 610, 8380, 596, 1524, 286, 6333, 6998, 873, 547, 957, 607, 707, 7198, 269, 9105, 952, 789, 616, 8348, 547, 3561, 1018, 789, 7747, 538, 2013, 596, 798, 6430, 547, 3343, 948, 689, 1346, 538, 513, 2990, 547, 26544, 563, 268, 24793, 519, 2856, 602, 596, 1705, 1945, 547, 17330, 713, 4057, 2126, 269, 32313, 958, 6354, 11494, 13032, 625, 1419, 3077, 6213, 267, 2186, 267, 26003, 545, 267, 543, 5363, 1004, 269, 3816, 785, 3054, 602, 596, 1705, 4986, 547, 2014, 519, 11648, 267, 543, 596, 666, 1406, 1852, 519, 4439, 569, 779, 2623, 269, 7439, 568, 621, 2693, 602, 596, 786, 581, 2111, 547, 2322, 513, 3247, 547, 519, 10728, 2623, 593, 707, 1378, 267, 610, 602, 519, 4439, 569, 786, 1175, 3247, 835, 1554, 1510, 6304, 269, 5192, 948, 607, 4166, 607, 2009, 563, 268, 25506, 543, 3398, 602, 596, 666, 711, 2048, 15276, 685, 519, 4439, 569, 547, 1831, 513, 10257, 267, 8799, 267, 6213, 267, 543, 12391, 1268, 269, 5457, 267, 1256, 16887, 8036, 543, 13931, 7067, 4648, 616, 13934, 547, 948, 891, 2010, 540, 14156, 6354, 11494, 543, 10728, 2043, 563, 268, 32341, 952, 596, 616, 909, 547, 29270, 519, 1268, 11648, 596, 1107, 855, 2760, 13720, 1510, 513, 7198, 28560, 596, 6430, 602, 596, 1131, 899, 547, 2047, 2232, 519, 3510, 543, 13720, 519, 1268, 596, 616, 2348, 7411, 609, 267, 621, 568, 16122, 602, 596, 798, 865, 609, 519, 1489, 540, 606, 3617, 3791, 5428, 6392, 4137, 693, 960, 1107, 23883, 952, 519, 4439, 569, 568, 707, 20148, 267, 610, 513, 2319, 4759, 596, 1590, 960, 609, 5781, 269, 1684, 711, 2479, 3801, 547, 13720, 519, 4439, 569, 593, 707, 1378, 2336, 268, 1403, 596, 2461, 711, 3478, 519, 1489, 596, 991, 689, 606, 3617, 6392, 4137, 693, 960, 267, 2015, 7487, 513, 13309, 267, 1272, 16455, 267, 610, 7694, 22639, 945, 24870, 538, 11648, 538, 519, 9036, 585, 2417, 10372, 543, 2093, 269, 1411, 1058, 711, 2479, 723, 547, 16718, 707, 2816, 538, 1931, 547, 9101, 1373, 13032, 1221, 538, 519, 9036, 269, 1403, 596, 6430, 547, 960, 609, 513, 13309, 267, 24468, 267, 610, 16455, 267, 1118, 2386, 789, 723, 513, 1434, 1620, 540, 10721, 1949, 543, 723, 1995, 538, 4543, 1004, 2232, 9036, 11648, 543, 7988, 325, 15635, 1049, 10721, 6384, 563, 296, 6573, 18306, 19611, 10691, 292, 281, 769, 3665, 2665, 267, 596, 949, 1745, 596, 723, 1100, 3903, 855, 547, 16718, 707, 2816, 952, 3617, 948, 689, 606, 6392, 5515, 568, 711, 2139, 269, 4014, 1100, 1533, 814, 607, 540, 2943, 5293, 606, 4550, 1532, 592, 2391, 1876, 267, 602, 3085, 1406, 1611, 11648, 568, 3656, 538, 1169, 3510, 269, 4475, 267, 1991, 547, 29655, 707, 2816, 1813, 547, 18825, 3116, 779, 20025, 267, 6354, 11494, 267, 543, 7654, 1256, 29880, 2623, 267, 596, 1522, 2015, 32296, 634, 2136, 2276, 4972, 540, 8534, 27706, 8881, 1299, 2657, 10029, 630, 5308, 11190, 264, 543, 5924, 513, 2199, 8534, 543, 25477, 30374, 547, 1265, 856, 952, 519, 2186, 540, 11648, 596, 616, 7680, 568, 10363, 1813, 547, 3423, 908, 5313, 610, 1533, 4031, 10238, 1746, 7130, 543, 18275, 563, 5278, 15937, 32438, 454, 291, 17805, 532, 568, 2565, 2336, 15371, 596, 616, 519, 835, 1969, 532, 538, 1952, 10187, 2299, 609, 1866, 538, 519, 9036, 610, 519, 835, 1373, 14156, 543, 15508, 2800, 539, 676, 2576, 3116, 779, 11648, 2623, 267, 621, 568, 1271, 547, 5431, 1018, 568, 2965, 8345, 543, 1491, 3268, 547, 3247, 621, 269, 1403, 711, 267, 519, 11605, 995, 6384, 786, 3136, 547, 535, 6856, 543, 1332, 267, 7133, 519, 3929, 543, 5310, 1256, 519, 2168, 1134, 1373, 540, 4896, 945, 1590, 723, 13455, 543, 7368, 3346, 609, 606, 14156, 10728, 11648, 7209, 267, 607, 1134, 607, 11874, 18363, 519, 2949, 7607, 540, 519, 5604, 563, 8855, 267, 519, 6392, 596, 3343, 856, 585, 6351, 538, 10678, 519, 11648, 786, 4096, 593, 707, 1880, 3510, 269, 6744, 547, 1294, 952, 972, 568, 606, 31287, 18361, 269, 898, 568, 519, 5274, 8249, 8257, 2816, 547, 2697, 519, 1655, 1268, 693, 707, 9036, 547, 948, 596, 2322, 606, 1439, 547, 519, 14156, 6354, 11494, 4439, 569, 779, 16160, 543, 6757, 5615, 267, 543, 547, 26544, 593, 707, 630, 663, 1866, 264, 15773, 267, 952, 11562, 5896, 563, 3725, 28136, 595, 269, 13495, 5271, 4068, 267, 10790, 267, 568, 513, 13931, 5369, 6139, 1905, 626, 267, 17992, 1049, 5020, 3213, 778, 267, 8191, 267, 543, 5449, 4400, 6874, 3663, 15445, 25477, 13693, 656, 269, 1411, 666, 1451, 811, 827, 1200, 2048, 2662, 1961, 12287, 8730, 2048, 2662, 1961, 5020, 685, 3213, 2286, 2259, 676, 9683, 1200, 693, 20456, 10403, 12389, 269, 0, 6624, 14912, 3756, 616, 4956, 593, 2436, 513, 2319, 786, 3094, 610, 6336, 676, 875, 1134, 789, 1685, 693, 519, 1863, 12235, 1899, 269, 589, 1863, 12235, 568, 519, 1152, 942, 1141, 519, 3014, 568, 1373, 1404, 543, 519, 9219, 568, 11074, 267, 5716, 3247, 267, 543, 519, 3440, 568, 538, 606, 1367, 779, 1688, 267, 609, 873, 543, 519, 11127, 269, 4595, 972, 616, 1100, 9718, 619, 3843, 547, 3625, 610, 7369, 741, 8929, 1034, 19393, 543, 4715, 2209, 4898, 1018, 2306, 2576, 4413, 513, 1863, 12235, 269, 3194, 3332, 2982, 602, 1312, 5626, 543, 2168, 2188, 1404, 513, 1909, 269, 3509, 9845, 723, 513, 1114, 1259, 540, 16042, 519, 1899, 267, 855, 3494, 602, 6111, 666, 4268, 4470, 593, 519, 3510, 269, 589, 1268, 949, 1685, 1134, 593, 1863, 25001, 1282, 513, 3014, 1141, 741, 2773, 3085, 1406, 3313, 519, 6364, 540, 519, 3014, 267, 855, 950, 519, 6364, 568, 4956, 593, 741, 2773, 789, 4043, 547, 711, 1685, 1134, 269, 1703, 723, 1044, 513, 2603, 540, 2090, 593, 1018, 2306, 513, 1268, 968, 577, 5803, 892, 950, 15246, 513, 1863, 12235, 693, 519, 1439, 540, 3014, 3871, 267, 855, 972, 616, 711, 513, 2603, 540, 2090, 593, 2436, 519, 946, 540, 11052, 666, 948, 513, 6345, 1745, 1447, 2604, 693, 519, 1899, 563, 7197, 540, 519, 2090, 5342, 1397, 1310, 476, 736, 268, 1789, 1296, 540, 1382, 602, 1210, 11052, 1223, 948, 2087, 1863, 12235, 2773, 269, 1924, 1946, 5749, 1406, 811, 19393, 543, 5716, 7598, 891, 883, 741, 2259, 610, 1863, 12235, 6296, 1354, 2921, 519, 8929, 286, 2368, 949, 6157, 946, 11052, 1354, 789, 1685, 741, 1863, 12235, 630, 328, 4318, 269, 2921, 513, 2620, 13236, 543, 17938, 2718, 1247, 6031, 513, 2318, 2262, 547, 2933, 1070, 855, 4715, 2209, 267, 5716, 267, 543, 19393, 616, 1869, 7487, 5716, 4413, 1863, 25001, 1169, 3014, 950, 789, 917, 602, 789, 666, 1118, 873, 9985, 5386, 538, 2259, 269, 1924, 3173, 723, 6743, 883, 1946, 5716, 4413, 1863, 25001, 267, 2523, 950, 519, 3014, 568, 593, 519, 1899, 563, 5278, 19393, 610, 6887, 946, 2994, 547, 2333, 2773, 269, 7324, 891, 616, 2010, 540, 11052, 269, 12824, 723, 13986, 547, 3313, 799, 2010, 540, 11052, 616, 1034, 2500, 547, 946, 538, 5026, 547, 948, 2087, 2773, 269, 22569, 2044, 568, 3843, 547, 1265, 922, 1259, 547, 581, 3238, 538, 519, 1169, 1554, 1158, 540, 5026, 543, 3173, 723, 6594, 713, 2259, 585, 1082, 1296, 547, 948, 1004, 1174, 519, 1082, 3029, 11052, 666, 581, 13736, 269, 1703, 616, 1896, 2010, 540, 11052, 602, 1223, 581, 4294, 4724, 5355, 1863, 12235, 15246, 2773, 269, 8065, 543, 8210, 742, 1889, 9807, 630, 2735, 274, 264, 8045, 513, 1826, 540, 11052, 1572, 966, 11586, 305, 630, 6665, 340, 334, 2173, 19318, 2623, 31667, 531, 1040, 901, 4480, 5161, 540, 513, 11005, 5123, 267, 3308, 1944, 2773, 1282, 513, 17173, 3510, 267, 543, 2965, 7900, 519, 5578, 1282, 513, 17173, 3510, 269, 769, 8065, 543, 8210, 742, 1889, 9807, 779, 1353, 267, 789, 1185, 835, 1895, 630, 7224, 9781, 264, 1685, 11005, 543, 3308, 11052, 267, 1247, 519, 824, 1895, 630, 341, 728, 582, 9464, 9781, 264, 4309, 6044, 676, 8384, 513, 8004, 1685, 476, 1015, 1863, 25001, 609, 3501, 1106, 269, 634, 2164, 4951, 602, 519, 966, 11586, 305, 630, 341, 728, 582, 9464, 9781, 264, 1895, 4951, 3648, 2362, 6454, 267, 5111, 476, 280, 260, 2333, 282, 593, 741, 1863, 12235, 2773, 1247, 519, 11005, 630, 7224, 9781, 264, 1862, 0, 29619, 769, 519, 15170, 1158, 267, 9562, 540, 707, 2724, 568, 6417, 676, 6939, 4919, 4357, 10569, 269, 1452, 10569, 616, 1031, 585, 3541, 1516, 707, 8391, 9607, 543, 6038, 585, 7836, 7482, 269, 1280, 6654, 4128, 267, 5150, 4859, 540, 891, 10569, 568, 11613, 2565, 585, 1022, 11670, 3593, 267, 607, 4896, 609, 519, 10569, 666, 1852, 519, 7482, 693, 602, 454, 29619, 11153, 1296, 3516, 1282, 1250, 2038, 3460, 883, 519, 11670, 2230, 267, 594, 4862, 27055, 553, 16653, 641, 9567, 657, 1865, 519, 2856, 540, 18351, 1436, 593, 15608, 15541, 534, 779, 15264, 269, 1261, 729, 31935, 513, 2104, 538, 799, 649, 1100, 3476, 4123, 1286, 10643, 610, 20251, 23339, 998, 2229, 8041, 269, 5502, 267, 649, 1131, 2099, 1346, 7221, 607, 21797, 593, 513, 9893, 563, 29619, 10251, 267, 3006, 11670, 4357, 10569, 616, 4503, 269, 20305, 6861, 530, 24548, 267, 12235, 2476, 2182, 11479, 267, 610, 3274, 2760, 19307, 10569, 538, 519, 1101, 1747, 269, 589, 9583, 6654, 3070, 547, 519, 1966, 540, 513, 4503, 1883, 1522, 581, 547, 2119, 543, 968, 29674, 892, 782, 519, 2009, 10569, 2394, 596, 1265, 519, 835, 602, 796, 331, 4169, 707, 9607, 269, 2290, 454, 29619, 2201, 5239, 476, 4029, 560, 267, 476, 1220, 279, 267, 9045, 25493, 26981, 600, 9369, 1178, 1027, 519, 1158, 609, 1010, 5075, 585, 513, 9263, 3562, 24406, 518, 5907, 6666, 1062, 1572, 11670, 269, 634, 19116, 649, 946, 2221, 3323, 609, 713, 7493, 543, 519, 2093, 8659, 1369, 269, 594, 3810, 4363, 4896, 5461, 538, 11670, 610, 824, 1930, 9893, 3785, 1224, 519, 3312, 17642, 788, 1653, 267, 855, 621, 666, 581, 454, 29619, 634, 4417, 540, 18074, 530, 24548, 814, 1500, 1883, 2359, 513, 2484, 4443, 4305, 585, 15170, 3755, 269, 1452, 968, 295, 1512, 1105, 673, 10318, 514, 2065, 892, 530, 24548, 666, 5352, 606, 12808, 2179, 540, 4357, 10569, 543, 9607, 689 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1001, 275, 4964, 1234, 548, 1162, 454, 288, 14576, 540, 15604, 454, 10214, 538, 519, 476, 2641, 560, 2540, 609, 782, 922, 6639, 8441, 519, 13112, 2456, 540, 519, 4365, 268, 4411, 267, 6632, 267, 2842, 344, 610, 476, 5390, 268, 666, 1860, 721, 782, 538, 5162, 942, 563, 21953, 4952, 875, 1454, 811, 519, 5162, 4365, 1131, 723, 12936, 593, 519, 2729, 540, 938, 11937, 267, 1279, 1354, 519, 4417, 540, 3844, 8022, 267, 5201, 610, 5179, 2213, 3560, 563, 2108, 310, 5793, 729, 513, 9645, 4161, 585, 519, 1004, 540, 8581, 513, 1906, 4627, 1296, 3516, 267, 543, 2943, 607, 7152, 676, 10120, 9721, 6965, 267, 1256, 2016, 519, 10792, 2175, 799, 789, 2933, 5185, 267, 789, 1869, 1185, 1390, 8296, 585, 519, 2831, 543, 5017, 945, 1705, 711, 1256, 723, 519, 12062, 540, 25229, 21747, 8075, 547, 2149, 873, 689, 519, 10792, 5162, 2609, 2223, 24616, 3220, 6970, 527, 337, 6403, 7431, 3331, 497, 1684, 577, 21840, 662, 267, 4972, 540, 7216, 543, 19744, 9721, 267, 772, 6717, 563, 7804, 3331, 497, 1684, 577, 21840, 662, 779, 1382, 2534, 693, 772, 6717, 30211, 593, 10120, 9721, 3332, 609, 513, 1880, 8561, 593, 3909, 5931, 1519, 1821, 10899, 1570, 267, 19001, 267, 1396, 534, 625, 543, 1728, 332, 985, 563, 763, 1257, 2630, 568, 513, 8144, 540, 606, 9721, 6648, 799, 568, 936, 476, 272, 267, 1822, 1296, 2025, 267, 543, 2488, 721, 609, 513, 4605, 540, 5162, 1272, 538, 1346, 1360, 1114, 2053, 269, 634, 6648, 568, 851, 540, 519, 1650, 540, 875, 674, 542, 333, 5839, 595, 636, 3873, 650, 267, 519, 6205, 540, 519, 674, 1014, 3534, 267, 538, 1010, 23279, 30270, 22002, 519, 18798, 4144, 1301, 4660, 543, 6182, 5451, 514, 928, 2066, 519, 9721, 5251, 538, 519, 1647, 540, 5162, 538, 1931, 547, 3169, 1010, 15265, 20947, 269, 634, 8144, 568, 689, 8564, 687, 689, 9147, 9721, 17826, 676, 31311, 334, 2725, 9807, 630, 26780, 267, 476, 4489, 272, 1916, 288, 590, 32670, 5508, 654, 2562, 9898, 454, 290, 1245, 547, 5991, 697, 568, 3376, 631, 1195, 331, 4026, 2676, 295, 27941, 519, 6777, 982, 519, 7823, 24365, 2676, 763, 13650, 3112, 1205, 693, 741, 1426, 563, 290, 1245, 11489, 1684, 558, 2336, 763, 7088, 814, 3262, 936, 782, 912, 288, 5757, 568, 1142, 9663, 992, 2390, 519, 9386, 2676, 10376, 585, 323, 513, 2407, 7535, 563, 288, 1390, 23864, 4262, 568, 1142, 3138, 577, 2676, 288, 2407, 3138, 577, 568, 1142, 7535, 912, 295, 8503, 3112, 1205, 936, 519, 585, 323, 540, 17664, 2676, 5591, 811, 666, 1079, 3952, 1205, 972, 563, 763, 3165, 540, 8581, 616, 513, 268, 549, 5446, 2676, 2467, 568, 1100, 18843, 799, 519, 5951, 1281, 711, 11013, 2676, 8253, 513, 4884, 972, 568, 538, 519, 2244, 2676, 8253, 513, 11350, 568, 4862, 267, 1100, 31219, 12909, 563, 763, 20384, 540, 595, 10224, 2914, 797, 1205, 454, 10468, 2416, 1964, 6862, 3207, 538, 741, 561, 1515, 2676, 763, 2370, 530, 1066, 3112, 1265, 454, 306, 3559, 614, 538, 1200, 9566, 593, 519, 9386, 540, 31701, 563, 298, 8696, 2842, 543, 4411, 4672, 454, 31549, 16802, 2390, 519, 2370, 2754, 540, 5017, 2676, 763, 3109, 12704, 3112, 1205, 513, 682, 324, 547, 1200, 6010, 532, 2676, 306, 3559, 614, 585, 922, 2427, 538, 595, 10224, 2914, 797, 563, 290, 657, 344, 938, 1494, 593, 922, 13622, 2676, 290, 571, 5414, 519, 554, 583, 593, 519, 9386, 540, 31701, 912, 763, 6777, 814, 16760, 519, 3574, 1934, 2676, 2414, 2812, 727, 547, 18214, 909, 5484, 28967, 563, 10908, 3317, 681, 6614, 781, 3504, 6177, 454, 5804, 519, 15280, 2842, 4991, 16236, 3248, 15124, 1200, 3765, 2044, 543, 1200, 1928, 2676, 763, 4672, 786, 1205, 883, 1200, 5023, 563, 5804, 26600, 543, 689, 1524, 547, 4473, 1765, 454, 12648, 621, 547, 2295, 256, 1765, 26200, 1165, 569, 585, 26899, 912, 296, 576, 538, 646, 2355, 593, 1169, 585, 323, 1765, 454, 6546, 568, 1946, 594, 2161, 1412, 322, 1245, 262, 2336, 2252, 596, 1131, 899, 547, 1224, 811, 6965, 899, 713, 267, 519, 2407, 1257, 540, 31311, 334, 2725, 9807, 779, 1433, 666, 581, 1336, 593, 519, 22469, 7913, 19541, 3896, 912, 4517, 2417, 3877, 827, 713, 6648, 666, 581, 1336, 593, 519, 595, 3881, 3896, 281, 0, 6624, 10256, 616, 11821, 543, 18516, 827, 741, 13800, 543, 3681, 950, 606, 6595, 6174, 4485, 563, 763, 10539, 11498, 547, 875, 547, 4431, 693, 6808, 8279, 267, 5180, 629, 8083, 267, 5179, 1811, 1510, 2182, 17525, 267, 21018, 540, 4155, 1141, 16765, 1136, 568, 711, 4847, 543, 5179, 1811, 609, 6595, 16069, 28961, 563, 2080, 779, 513, 2241, 3391, 547, 9363, 2922, 950, 1818, 1259, 585, 606, 6595, 6174, 563, 268, 1403, 596, 5873, 513, 521, 790, 333, 610, 1294, 1166, 4770, 2699, 7146, 15918, 826, 8279, 267, 3251, 9350, 563, 268, 6733, 585, 12341, 2922, 547, 7485, 547, 519, 2451, 543, 267, 952, 2556, 267, 3247, 563, 268, 2201, 519, 1935, 547, 513, 18846, 610, 519, 30160, 540, 513, 14629, 267, 1832, 2469, 543, 7485, 936, 950, 972, 779, 513, 1732, 2070, 6619, 563, 268, 13773, 856, 540, 1668, 28961, 543, 1832, 1055, 23128, 2125, 543, 17362, 906, 543, 1810, 1406, 3247, 2282, 6808, 10195, 563, 268, 1703, 949, 581, 811, 982, 835, 6595, 6174, 267, 865, 2638, 602, 621, 779, 2922, 1354, 11173, 707, 3460, 563, 4263, 6808, 8279, 454, 2304, 6595, 6174, 4465, 1406, 1616, 596, 547, 2322, 3054, 538, 8594, 676, 2469, 998, 513, 2699, 6808, 1769, 269, 23560, 865, 949, 1611, 596, 2461, 8840, 519, 1876, 630, 527, 9775, 689, 1533, 547, 1533, 267, 543, 1256, 952, 621, 568, 4847, 267, 596, 3580, 991, 547, 6961, 596, 1185, 1434, 2601, 547, 11716, 513, 2699, 1769, 264, 543, 24937, 513, 2699, 1769, 2141, 11438, 513, 4110, 540, 1981, 269, 1403, 596, 2461, 1101, 538, 519, 20313, 693, 513, 2699, 1769, 267, 3251, 1141, 596, 616, 267, 543, 4734, 519, 5605, 592, 766, 547, 1265, 922, 1259, 1472, 596, 563, 5649, 811, 281, 3657, 5100, 6517, 2870, 31945, 10256, 888, 305, 895, 629, 8083, 543, 15118, 2388, 454, 2252, 596, 2461, 16042, 513, 5180, 12671, 610, 513, 22882, 543, 596, 1294, 606, 6595, 6174, 609, 922, 2699, 7146, 15918, 826, 8279, 15181, 267, 1413, 693, 922, 2990, 267, 607, 713, 786, 1577, 596, 917, 1141, 621, 6499, 596, 547, 979, 269, 1403, 596, 2461, 2907, 693, 519, 22882, 267, 581, 3461, 543, 7227, 585, 621, 547, 2097, 2250, 269, 1703, 949, 581, 811, 982, 835, 6595, 6174, 16042, 267, 865, 2638, 1354, 3001, 1055, 563, 306, 13521, 3043, 3515, 610, 5595, 3515, 454, 4002, 513, 4155, 609, 513, 4396, 3043, 1899, 1062, 267, 606, 6595, 6174, 786, 4440, 6467, 1055, 922, 521, 790, 333, 630, 24392, 621, 949, 3136, 547, 19334, 922, 2699, 7146, 15918, 826, 8279, 264, 607, 621, 32195, 593, 596, 269, 901, 568, 1317, 16765, 1136, 568, 711, 4847, 543, 568, 22247, 269, 634, 1655, 3364, 585, 596, 547, 798, 568, 1832, 2469, 1107, 693, 519, 3432, 3970, 952, 621, 779, 2922, 1107, 2394, 596, 2461, 2312, 540, 519, 4396, 3043, 3515, 269, 1879, 519, 521, 790, 333, 4422, 593, 1586, 267, 602, 779, 707, 29692, 547, 1577, 519, 6595, 6174, 979, 2250, 563, 300, 19318, 1811, 543, 12242, 31566, 1811, 454, 4002, 5179, 1811, 543, 12242, 31566, 1811, 267, 1847, 547, 519, 2451, 547, 1450, 606, 6595, 6174, 547, 1780, 538, 519, 3544, 26738, 952, 621, 779, 2312, 269, 769, 3500, 543, 19335, 6808, 267, 6595, 6472, 2356, 946, 519, 5179, 3118, 2182, 13105, 267, 865, 596, 1058, 1152, 979, 5196, 519, 2182, 13105, 952, 596, 723, 606, 6595, 540, 707, 1378, 563, 2252, 972, 779, 1100, 2182, 13105, 267, 1118, 1259, 585, 6595, 6472, 676, 2870, 606, 11313, 655, 1120, 1890, 23725, 528, 685, 676, 17444, 607, 2484, 547, 519, 1318, 630, 514, 519, 1318, 1688, 26738, 264, 607, 2009, 610, 519, 2451, 540, 519, 26738, 630, 514, 513, 2451, 1688, 26738, 1040, 1879, 596, 4076, 1577, 606, 6595, 6174, 998, 267, 3251, 1141, 596, 616, 267, 607, 824, 6472, 949, 581, 4947, 998, 563, 4002, 513, 5100, 5179, 3118, 630, 29006, 609, 16841, 26738, 10832, 1070, 835, 610, 811, 28961, 949, 581, 6806, 1317, 540, 606, 10071, 6619, 1107, 596, 3580, 917, 1317, 540, 2699, 2473, 4191, 1657, 519, 31566, 3118, 269, 17073, 6472, 786, 946, 891, 28961, 952, 789, 666, 269, 5901, 856, 540, 891, 2699, 2473, 28961, 1107, 621, 568, 10363, 547, 946, 513, 26738, 6825, 609, 513, 2699, 2473, 269, 1403, 1100, 28961, 2408, 547, 581, 6806, 267, 581, 5423, 547, 948, 1711, 519, 6595, 23725, 528, 563, 268, 13773, 9350, 563, 268, 5269, 513, 1448, 540, 2141, 17655, 6619, 543, 3297, 267, 547, 2285, 3054, 811, 942, 547, 1544, 563, 268, 5213, 1406, 2736, 519, 1876, 610, 1491, 4220, 267, 2705, 5363, 596, 2461, 3843, 547, 581, 563, 268, 17073, 6472, 2097, 538, 782, 5546, 543, 7306, 865, 267, 950, 596, 7485, 936, 543, 1169, 942, 596, 6288, 267, 1118, 2386, 972, 779, 6190, 2230, 585, 1022, 6595, 6174, 547, 1205, 998, 563, 268, 5620, 513, 1434, 1413, 1472, 543, 581, 3222, 540, 1018, 3025, 3116, 568, 3257, 563, 10287, 891, 2241, 4808, 543, 596, 3580, 2569, 1981, 543, 6148, 1256, 948, 4688, 513, 1272, 563, 12441, 596, 917, 519, 3652, 11341, 547, 6595, 6472, 286, 1684, 596, 3006, 1294, 10256, 945, 2408, 547, 581, 21933, 643, 1190, 547, 1346, 3652, 610, 547, 606, 16042, 6595, 6174, 286, 9523, 707, 7422, 538, 519, 8292, 3296, 2630, 563, 1607, 2376, 1101, 7902, 593, 6845, 328, 867, 18182, 9476, 2593, 563, 5649, 811, 281, 3657, 596, 2731, 513, 1434, 9920, 888, 2252, 596, 2972, 938, 1543, 267, 1810, 1406, 1832, 621, 547, 3054, 269, 9523, 938, 1863, 552, 21158, 609, 707, 2828, 543, 5000, 873, 547, 1129, 909, 269, 0, 396, 504, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 454, 11997, 267, 519, 8167, 17095, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 891, 2934, 538, 519, 2551, 786, 7930, 2333, 607, 5481, 1780, 269, 2368, 540, 891, 2934, 949, 979, 547, 30651, 267, 602, 568, 267, 5555, 1491, 936, 519, 17095, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 2551, 630, 2863, 559, 519, 1604, 2242, 1040, 1215, 1281, 3014, 3069, 4283, 883, 713, 563, 3383, 12105, 3069, 568, 1776, 6389, 540, 3498, 585, 1875, 268, 12407, 13011, 2079, 269, 769, 12105, 3014, 3069, 267, 649, 1100, 3476, 1589, 540, 2043, 607, 7446, 2994, 607, 789, 1847, 689, 835, 3014, 547, 1776, 269, 901, 568, 1317, 938, 4690, 616, 1114, 563, 3383, 649, 1631, 2203, 519, 2994, 2933, 607, 4730, 1996, 1142, 824, 269, 1284, 1353, 519, 2242, 538, 3892, 540, 2994, 538, 519, 2551, 607, 519, 5311, 540, 3756, 4652, 9529, 269, 1280, 12105, 3014, 3069, 267, 649, 6338, 513, 1007, 11466, 1523, 267, 1813, 547, 2904, 333, 731, 8055, 630, 2735, 273, 1040, 2843, 504, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 1305, 540, 2994, 267, 538, 930, 1880, 8167, 630, 324, 269, 2843, 510, 3522, 17095, 3522, 13194, 4138, 21170, 16068, 4709, 20977, 13953, 4709, 3741, 540, 12105, 3014, 3069, 616, 1655, 6045, 998, 1806, 563, 306, 5652, 337, 916, 5956, 676, 14236, 519, 2175, 896, 799, 513, 2631, 540, 5126, 268, 25969, 585, 5301, 540, 1010, 1808, 2079, 607, 513, 29916, 547, 2070, 3160, 15523, 540, 2200, 607, 4023, 8259, 4398, 9270, 2303, 6382, 538, 2027, 2665, 2173, 697, 8451, 269, 1261, 12134, 721, 547, 2015, 513, 2551, 538, 799, 2043, 5781, 2743, 1142, 824, 543, 1590, 20476, 664, 936, 2200, 563, 20118, 267, 972, 666, 581, 1082, 6422, 1226, 9902, 6319, 269, 2843, 504, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 267, 2016, 4351, 30010, 585, 11012, 7549, 17201, 9841, 7549, 3378, 17095, 31589, 10528, 21162, 17153, 11714, 9924, 4138, 15671, 4814, 9924, 20732, 3264, 13953, 267, 519, 1739, 1079, 17114, 616, 661, 7704, 338, 281, 18564, 602, 11466, 630, 328, 264, 568, 28537, 267, 2094, 519, 3328, 2628, 4752, 2066, 519, 17095, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 835, 28451, 519, 8953, 540, 667, 269, 1403, 519, 561, 2317, 593, 519, 15279, 6782, 568, 2695, 541, 762, 1287, 5858, 595, 666, 581, 16302, 1496, 277, 316, 780, 6624, 723, 7411, 538, 3841, 1746, 26194, 20215, 609, 513, 11826, 3070, 540, 1256, 519, 1101, 561, 2317, 269, 634, 6169, 3340, 1702, 540, 519, 5086, 27485, 538, 513, 12931, 22511, 267, 543, 606, 3498, 540, 519, 25355, 11532, 267, 1312, 540, 799, 1131, 723, 1044, 693, 26194, 20215, 262, 12871, 269, 769, 1840, 267, 2705, 267, 513, 3791, 4105, 1249, 4667, 547, 723, 2097, 2059, 1310, 26194, 20215, 1185, 8977, 539, 519, 6429, 269, 594, 3277, 547, 21482, 573, 2473, 2862, 269, 273, 267, 799, 2829, 602, 519, 2127, 540, 10580, 616, 547, 835, 1776, 607, 616, 519, 10945, 540, 741, 5603, 4394, 269, 634, 6169, 630, 6572, 1460, 264, 540, 713, 5673, 593, 519, 25874, 2553, 540, 661, 644, 2135, 639, 269, 5637, 21482, 573, 543, 5246, 574, 26433, 3651, 519, 5491, 547, 661, 644, 2135, 639, 1496, 278, 780, 763, 835, 7872, 602, 26194, 20215, 6785, 543, 1031, 519, 1505, 540, 25874, 267, 1217, 958, 5310, 267, 6013, 538, 519, 1249, 602, 513, 22301, 689, 1010, 1378, 2540, 267, 12077, 4165, 13023, 517, 267, 5176, 16309, 538, 8159, 519, 1858, 540, 513, 5858, 476, 7742, 1296, 1991, 547, 5246, 574, 26433, 267, 1247, 14139, 606, 25874, 4480, 2147, 547, 602, 540, 661, 644, 2135, 639, 1496, 279, 4940, 1284, 786, 4983, 10580, 543, 824, 1858, 3800, 540, 598, 545, 6810, 538, 3848, 476, 274, 540, 713, 1867, 780, 1103, 5758, 1287, 267, 649, 723, 2938, 602, 519, 16380, 5116, 513, 5230, 16126, 593, 9511, 607, 513, 1267, 540, 741, 5134, 6412, 540, 1297, 269, 16387, 29263, 607, 513, 9015, 547, 713, 1554, 543, 814, 922, 26106, 23702, 25058, 525, 269, 10251, 267, 5858, 30026, 3464, 616, 1869, 1668, 1176, 7722, 538, 606, 7543, 4305, 269, 4634, 519, 1390, 28167, 1019, 30058, 729, 267, 585, 513, 942, 267, 19832, 609, 561, 2317, 25481, 269, 15346, 3805, 1496, 280, 316, 1336, 25780, 540, 7366, 540, 873, 267, 4805, 543, 538, 10659, 609, 824, 5515, 267, 543, 646, 9289, 1018, 1131, 6536, 971, 20174, 547, 606, 834, 684, 28695, 257, 1888, 269, 2986, 1576, 267, 28167, 949, 723, 1185, 7499, 3096, 585, 6272, 267, 855, 649, 1058, 1832, 538, 2247, 849, 602, 519, 2695, 2130, 540, 519, 5858, 729, 711, 513, 25401, 9505, 2013, 538, 1010, 942, 780, 26170, 267, 9511, 267, 950, 21002, 2989, 609, 519, 3652, 540, 4070, 267, 8604, 513, 524, 13246, 727, 1259, 547, 4194, 1978, 2042, 267, 543, 1100, 835, 729, 4397, 547, 4163, 606, 25874, 6169, 547, 922, 31208, 2572, 2711, 3665, 269, 16387, 729, 18808, 922, 1034, 3978, 9514, 538, 519, 14206, 2540, 281, 7064, 547, 918, 4669, 2696, 601, 267, 649, 917, 602, 1022, 9266, 1062, 1590, 581, 18106, 267, 602, 568, 267, 723, 5376, 916, 799, 616, 796, 2889, 15344, 267, 1100, 2339, 519, 3903, 540, 24936, 1682, 780, 8448, 4529, 1185, 25282, 741, 1378, 2081, 540, 7231, 609, 12980, 267, 3352, 1674, 1023, 267, 543, 4052, 2042, 269, 1548, 729, 15877, 729, 519, 2702, 547, 2489, 1125, 1367, 1806, 269, 634, 19635, 7418, 689, 5527, 267, 20770, 267, 10255, 267, 543, 519, 10787, 8109, 4529, 2877, 547, 1265, 513, 1445, 267, 513, 4099, 1472, 799, 789, 1223, 581, 24704, 543, 20902, 269, 1280, 602, 4099, 267, 649, 1631, 2490, 7532, 1189, 267, 1256, 607, 519, 1522, 540, 10504, 17146, 856, 540, 7507, 543, 883, 519, 10806, 540, 5771, 281, 513, 1641, 540, 938, 1985, 3888, 618, 780, 17484, 17084, 454, 272, 269, 14480, 5069, 267, 5261, 17714, 3414, 2637, 3780, 269, 31919, 267, 1715, 3840, 267, 476, 1960, 272, 269, 6032, 269, 1109, 1556, 1700, 1724, 563, 273, 269, 14480, 5069, 267, 6032, 269, 1109, 1724, 268, 1626, 563, 274, 269, 661, 1407, 267, 20999, 1323, 4985, 547, 519, 3778, 540, 9119, 15301, 274, 6113, 1196, 4700, 4591, 339, 267, 1715, 3840, 267, 476, 3422, 280, 269, 533, 269, 1109, 6858, 563, 275, 269, 14480, 5069, 267, 6032, 269, 1109, 736, 1700, 2918, 563, 276, 269, 1261, 987, 267, 7338, 589, 3778, 540, 5259, 9119, 267, 5292, 269, 272, 269, 10228, 267, 5507, 267, 476, 4572, 272, 269, 6032, 269, 476, 12739, 1700, 15433, 563, 277, 269, 14480, 5069, 267, 6032, 269, 1109, 1704, 268, 2420, 563, 278, 269, 1261, 987, 267, 570, 11482, 269, 630, 539, 269, 543, 6037, 1807, 1070, 21482, 573, 267, 519, 774, 597, 10117, 7734, 540, 519, 15689, 269, 667, 1478, 267, 1715, 3840, 267, 476, 4198, 277, 630, 273, 526, 1196, 12175, 6032, 269, 1109, 14138, 1700, 14056, 563, 279, 269, 1261, 987, 267, 3778, 1862, 6032, 269, 1109, 13136, 1700, 18597, 563, 280, 269, 15346, 3805, 267, 30486, 8899, 749, 267, 634, 9119, 540, 4279, 2549, 622, 2720, 269, 667, 1478, 267, 1715, 3840, 267, 476, 3422, 274, 269, 6032, 269, 1109, 3393, 1700, 4366, 269, 0, 1692, 1082, 10945, 568, 21802, 4604, 2496, 7830, 10945, 269, 634, 15438, 1491, 909, 1079, 10945, 269, 1085, 4599, 1076, 3832, 14369, 5206, 281, 476, 5038, 1341, 476, 5392, 1341, 476, 3607, 1341, 476, 1839, 1341, 476, 1626, 1341, 476, 280, 1341, 476, 275, 1341, 476, 272, 630, 279, 9943, 279, 264, 815, 476, 12739, 10945, 476, 2439, 8368, 540, 12937, 692, 3963, 616, 972, 476, 14225, 10945, 593, 513, 21802, 4580, 2496, 1103, 2698, 972, 616, 476, 14225, 10945, 593, 513, 21802, 4580, 269, 901, 568, 519, 2040, 540, 519, 1297, 540, 2009, 7158, 585, 782, 519, 10945, 540, 2450, 476, 272, 9943, 272, 547, 476, 279, 9943, 279, 780, 1692, 1082, 15942, 616, 972, 538, 513, 4009, 2496, 12585, 281, 589, 4009, 814, 476, 275, 5011, 269, 589, 4009, 814, 2185, 15174, 543, 782, 519, 5011, 540, 513, 4009, 616, 3160, 538, 3259, 780, 1692, 1082, 10945, 540, 782, 7306, 616, 538, 513, 476, 1321, 9943, 1321, 21802, 4580, 2496, 263, 514, 2698, 476, 14225, 6393, 1692, 1082, 10945, 616, 593, 513, 476, 279, 9943, 279, 21802, 4580, 2496, 763, 2626, 540, 476, 5038, 10945, 630, 279, 9943, 279, 1070, 568, 9985, 4570, 267, 855, 972, 568, 849, 606, 4244, 2626, 952, 649, 1293, 519, 10945, 540, 1114, 7306, 267, 711, 1175, 519, 1367, 10945, 780, 1432, 568, 519, 2450, 540, 623, 8976, 4282, 2496, 2252, 596, 616, 2870, 513, 9208, 6571, 4282, 267, 3442, 476, 9083, 275, 1535, 476, 278, 6924, 19641, 607, 519, 7516, 269, 2201, 519, 824, 1688, 267, 3442, 476, 15793, 276, 1535, 476, 278, 6924, 19641, 585, 654, 1938, 10547, 10080, 780, 1692, 1082, 10945, 616, 593, 513, 21802, 4604, 952, 621, 568, 1500, 909, 540, 476, 1321, 9943, 1321, 3079, 540, 476, 279, 9943, 279, 2496, 2467, 616, 476, 280, 290, 273, 8424, 540, 8880, 3515, 596, 666, 4584, 630, 3607, 3982, 8424, 1070, 543, 519, 1482, 1297, 540, 7299, 8424, 267, 865, 519, 2626, 568, 476, 3607, 9943, 3607, 284, 272, 267, 30640, 780, 1692, 1082, 10945, 540, 782, 7306, 616, 538, 513, 476, 1015, 9943, 1015, 2638, 518, 4580, 2496, 763, 2626, 568, 476, 14225, 10945, 269, 901, 568, 1317, 596, 723, 547, 5173, 875, 1082, 476, 272, 1535, 476, 272, 10945, 267, 476, 273, 1535, 476, 273, 4009, 267, 476, 274, 1535, 476, 274, 10945, 543, 865, 593, 602, 616, 593, 519, 21802, 4580, 269, 1452, 2338, 1439, 909, 1373, 519, 4009, 2338, 281, 476, 5038, 267, 476, 5392, 267, 476, 3607, 267, 476, 1839, 267, 476, 1626, 267, 476, 280, 267, 476, 275, 267, 476, 272, 269, 1452, 3773, 1927, 11224, 476, 14225, 780, 1692, 1082, 10945, 616, 538, 513, 476, 280, 9943, 280, 7470, 2496, 288, 14181, 18602, 11015, 5161, 540, 513, 476, 280, 9943, 280, 7470, 540, 10945, 267, 7745, 909, 883, 513, 476, 274, 9943, 274, 7470, 540, 7161, 1500, 909, 540, 8370, 10945, 1142, 269, 634, 3804, 540, 513, 11015, 568, 547, 3514, 519, 2338, 476, 272, 998, 476, 280, 883, 1142, 540, 519, 476, 10037, 10945, 540, 519, 7470, 865, 602, 1142, 4737, 267, 6241, 267, 543, 3625, 814, 4010, 835, 540, 1142, 1297, 780, 1692, 1082, 4009, 798, 596, 1294, 538, 713, 3239, 2496, 763, 2953, 2626, 547, 519, 11015, 568, 476, 2412, 10945, 269, 2334, 779, 1318, 281, 898, 779, 711, 476, 279, 267, 476, 1626, 267, 476, 2190, 267, 476, 2764, 610, 476, 1789, 267, 543, 649, 3580, 2995, 596, 1946, 269, 634, 3239, 568, 1500, 909, 540, 5216, 6263, 10945, 267, 476, 1240, 2582, 10945, 267, 8370, 476, 273, 1535, 476, 273, 10945, 267, 2185, 476, 274, 1535, 476, 274, 10945, 267, 543, 835, 476, 275, 1535, 476, 275, 4009, 780, 1692, 798, 596, 4336, 513, 4282, 538, 17948, 2496, 12812, 2048, 17637, 685, 543, 2824, 2048, 20228, 728, 2450, 685, 689, 519, 10624, 269, 8074, 281, 1403, 596, 2461, 1210, 606, 4587, 4528, 540, 17948, 267, 519, 2048, 20228, 728, 2450, 685, 4781, 949, 581, 896, 2048, 17273, 20233, 719, 685, 3079, 269, 8564, 2048, 20578, 22391, 12025, 685, 547, 1930, 519, 3681, 538, 513, 1402, 5346, 6885, 269, 8437, 2048, 10498, 685, 547, 4688, 707, 2688, 7516, 780, 1692, 798, 594, 1711, 1250, 1378, 17948, 4282, 2496, 2521, 621, 2439, 272, 269, 8564, 519, 13472, 596, 1616, 547, 1039, 513, 4282, 4605, 547, 563, 273, 269, 8564, 5071, 3436, 14474, 17461, 563, 274, 269, 769, 519, 14474, 17461, 533, 2033, 267, 2824, 16514, 610, 9403, 6445, 563, 275, 269, 8564, 11711, 563, 276, 269, 769, 519, 23453, 16514, 13972, 4216, 267, 3442, 519, 4605, 596, 1616, 547, 946, 543, 1287, 2824, 23453, 780, 1692, 798, 594, 1118, 17948, 15942, 12384, 2496, 2414, 1689, 519, 13472, 2450, 1384, 272, 269, 8564, 519, 5071, 9184, 540, 519, 1907, 8663, 26781, 563, 273, 269, 8564, 8525, 5590, 1575, 593, 519, 2451, 1439, 540, 519, 1907, 8663, 563, 274, 269, 769, 519, 8525, 5590, 1575, 13972, 4216, 267, 896, 6215, 1938, 21092, 585, 267, 3442, 519, 30966, 2450, 596, 1616, 267, 610, 3442, 11426, 543, 14574, 519, 7516, 596, 1616, 780, 1692, 1082, 10945, 616, 593, 513, 21802, 4604, 2496, 2414, 979, 609, 519, 2582, 10945, 972, 616, 849, 10945, 540, 476, 273, 9943, 273, 267, 476, 274, 9943, 274, 267, 476, 275, 9943, 275, 543, 865, 593, 909, 2394, 596, 3914, 476, 279, 9943, 279, 630, 1492, 4604, 3294, 568, 513, 4009, 1932, 1040, 2913, 779, 723, 513, 1413, 693, 875, 649, 666, 1293, 891, 10945, 267, 543, 649, 3580, 849, 960, 856, 513, 4542, 547, 581, 2111, 547, 1265, 519, 1297, 540, 10945, 593, 513, 4009, 21802, 4580, 540, 1022, 2450, 780, 1692, 798, 596, 1118, 10945, 519, 1482, 2450, 607, 519, 4604, 2496, 10376, 942, 649, 1039, 835, 547, 519, 2427, 3259, 540, 519, 10945, 267, 519, 4544, 26484, 1858, 602, 741, 15174, 3514, 883, 695, 337, 3855, 676, 835, 538, 1142, 4287, 269, 4475, 972, 616, 281, 1656, 865, 593, 267, 2394, 596, 1205, 547, 519, 3803, 1804, 4009, 519, 1482, 2450, 607, 519, 2898, 4604, 780, 1432, 568, 513, 21802, 4604, 2496, 288, 21802, 4580, 568, 513, 3014, 4604, 602, 568, 1031, 547, 1404, 21802, 267, 593, 799, 21802, 4773, 543, 30392, 985, 616, 5116, 269, 634, 3337, 540, 513, 21802, 4580, 568, 2356, 4009, 799, 814, 606, 20367, 4806, 540, 10945, 538, 1079, 1114, 4778, 630, 18872, 543, 3043, 1040, 769, 7262, 21802, 267, 519, 3337, 540, 519, 4604, 568, 4009, 267, 609, 922, 2427, 1373, 5258, 883, 5216, 2694, 780, 1432, 568, 519, 2698, 1297, 540, 10945, 538, 476, 279, 9343, 2496, 2467, 616, 476, 279, 9343, 543, 1142, 4737, 3568, 476, 279, 10945, 267, 8754, 519, 2698, 1297, 540, 1367, 10945, 568, 476, 279, 1535, 476, 279, 815, 476, 5038, 269, 25478, 519, 2698, 1297, 540, 3677, 10945, 568, 513, 2370, 3787, 811, 7294, 267, 855, 513, 2656, 6516, 786, 1118, 621, 513, 2603, 4443, 269, 0, 258, 2353, 9708, 28562, 2048, 11754, 1007, 11090, 685, 692, 1012, 2983, 2131, 291, 611, 10658, 14794, 540, 519, 10432, 8827, 281, 4856, 4592, 633, 2983, 1188, 334, 29725, 2125, 513, 674, 775, 692, 17357, 4592, 633, 2983, 1188, 334, 29725, 2125, 513, 674, 775, 4534, 610, 267, 538, 1034, 13366, 267, 10523, 3843, 13718, 2710, 596, 5873, 602, 3280, 286, 8786, 267, 621, 779, 519, 6263, 267, 1164, 1790, 17097, 3458, 5446, 540, 938, 15210, 2370, 5869, 4856, 4592, 633 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 23041, 4308, 619, 267, 5740, 7685, 267, 2679, 3761, 8637, 267, 3049, 543, 4677, 3761, 8637, 267, 543, 930, 10958, 23335, 23924, 563, 763, 1699, 772, 2529, 269, 3747, 585, 10821, 3574, 26005, 568, 827, 476, 273, 2929, 9748, 513, 1032, 267, 799, 1226, 919, 547, 513, 5223, 540, 827, 476, 2568, 260, 540, 2504, 4390, 10057, 29143, 1227, 538, 476, 2412, 1790, 895, 11435, 543, 519, 6967, 476, 2412, 2600, 29633, 267, 2687, 547, 7605, 16026, 267, 11206, 6052, 7010, 543, 5449, 7022, 540, 519, 19994, 2280, 17540, 1564, 4659, 269, 13575, 6340, 267, 3574, 26005, 616, 2356, 26437, 538, 476, 1015, 11013, 11435, 543, 4421, 676, 519, 9126, 610, 676, 519, 9522, 630, 2004, 11435, 593, 513, 11288, 5493, 2280, 1040, 2368, 3574, 10652, 2280, 14200, 2709, 476, 736, 11013, 11435, 585, 4443, 7829, 563, 24841, 19994, 7410, 13870, 1299, 29283, 538, 3013, 454, 24841, 10652, 2280, 814, 1044, 1031, 607, 8022, 4492, 585, 936, 476, 1789, 1296, 538, 519, 1454, 21617, 1715, 4789, 3557, 543, 519, 7414, 19566, 269, 769, 2487, 1296, 267, 3574, 26005, 723, 849, 1831, 2442, 538, 519, 25878, 2136, 2276, 267, 5631, 1317, 540, 519, 1739, 4128, 281, 519, 865, 2130, 3902, 540, 5277, 4412, 2033, 267, 19386, 267, 5755, 543, 2067, 3154, 5818, 6455, 540, 1312, 3574, 26005, 543, 10652, 2280, 8781, 14233, 269, 8033, 4240, 2362, 3282, 5777, 616, 3743, 585, 519, 2208, 540, 26005, 6455, 607, 4357, 1753, 5411, 538, 519, 1715, 4789, 2276, 1413, 585, 513, 811, 22237, 1259, 547, 3002, 741, 5321, 269, 1656, 717, 4932, 4596, 814, 29633, 1082, 3574, 10652, 2280, 14200, 1312, 585, 10821, 946, 543, 5010, 3096, 547, 519, 7330, 269, 3013, 568, 849, 513, 1804, 3574, 10652, 2280, 4492, 10672, 267, 543, 621, 18666, 1804, 4320, 540, 3574, 26005, 547, 519, 2136, 8003, 543, 824, 3864, 2477, 269, 12989, 568, 519, 3574, 26005, 18666, 5750, 540, 2136, 2276, 2687, 547, 519, 674, 3008, 6820, 16581, 11780, 3590, 563, 24841, 19994, 2280, 23556, 779, 10866, 11621, 454, 1103, 476, 1001, 276, 267, 519, 16501, 21560, 519, 2773, 540, 1312, 10652, 2280, 588, 7174, 543, 10652, 2280, 10173, 269, 901, 1797, 811, 5812, 267, 6325, 543, 1164, 2298, 4492, 26005, 538, 11435, 609, 519, 1007, 21668, 296, 28439, 2298, 1665, 267, 855, 711, 782, 26005, 4867, 6035, 585, 9042, 786, 20618, 269, 8738, 940, 1875, 6261, 293, 296, 3446, 26005, 949, 20704, 519, 15549, 344, 538, 1082, 588, 7174, 269, 4475, 267, 596, 8910, 1732, 917, 519, 21668, 296, 10652, 2280, 4492, 4441, 1134, 563, 1103, 476, 1960, 276, 519, 19994, 2280, 17540, 1564, 4659, 630, 303, 293, 296, 264, 3964, 3084, 4441, 585, 10821, 10652, 2280, 4492, 630, 637, 7808, 10652, 2280, 4492, 3044, 1040, 901, 3044, 568, 1152, 606, 796, 334, 24810, 1875, 1532, 4193, 16252, 269, 23556, 2298, 13995, 568, 519, 5539, 540, 519, 10652, 2280, 10672, 269, 5565, 4492, 9344, 723, 1044, 3989, 267, 14167, 3446, 10652, 2280, 543, 3044, 3446, 10652, 2280, 563, 24092, 3446, 10652, 2280, 4492, 630, 1575, 547, 476, 274, 260, 11849, 1543, 264, 568, 2356, 6508, 689, 2326, 799, 1267, 538, 811, 15895, 11849, 267, 971, 607, 4718, 706, 560, 5627, 3529, 13626, 630, 6518, 3568, 811, 23606, 264, 610, 6694, 22016, 899, 2428, 26083, 338, 269, 9208, 26005, 1058, 1152, 581, 1031, 538, 588, 7174, 11280, 585, 741, 946, 563, 7093, 26606, 3446, 10652, 2280, 4492, 630, 1652, 982, 476, 272, 260, 11849, 1543, 264, 568, 2356, 3812, 689, 2182, 6229, 610, 2571, 6229, 4718, 706, 560, 5627, 1100, 3529, 13626, 269, 901, 1797, 513, 28555, 267, 811, 3608, 6633, 267, 799, 849, 1797, 1447, 3574, 26005, 14616, 267, 7864, 3574, 26005, 12349, 267, 1447, 2230, 2877, 585, 4859, 267, 7864, 15143, 547, 519, 3574, 10652, 2280, 5577, 704, 543, 1447, 3653, 547, 2973, 909, 269, 12891, 1543, 11887, 4492, 3446, 1317, 540, 922, 1909, 538, 5826, 4908, 269, 898, 568, 519, 6305, 3815, 602, 11887, 5826, 4908, 540, 11849, 8851, 689, 519, 27115, 543, 5887, 532, 1062, 269, 23556, 3446, 543, 1808, 11849, 1543, 1369, 513, 4492, 3446, 616, 1869, 547, 581, 2808, 267, 855, 8441, 538, 10652, 2280, 23041, 2029, 616, 1818, 4492, 3903, 9962, 543, 4443, 269, 634, 2450, 540, 519, 11849, 2721, 518, 267, 4492, 3049, 543, 16416, 1374, 267, 1697, 5887, 532, 267, 2953, 5106, 543, 5826, 782, 1404, 513, 851, 538, 5826, 4908, 563, 25238, 3554, 2678, 1475, 21920, 1475, 291, 3748, 1475, 2026, 327, 12474, 1475, 293, 1149, 9638, 23035, 998, 606, 476, 272, 270, 279, 892, 5496, 10534, 2419, 3271, 1938, 2008, 347, 7093, 26606, 19994, 2280, 1475, 277, 268, 279, 7825, 1475, 19749, 353, 4343, 7825, 1475, 19749, 354, 25953, 11899, 8276, 23326, 263, 2412, 756, 338, 270, 1111, 476, 23326, 10534, 283, 272, 260, 1475, 283, 271, 269, 276, 260, 540, 2597, 1475, 283, 4968, 851, 829, 2929, 2008, 347, 24092, 19994, 2280, 1475, 277, 268, 279, 7825, 1475, 19749, 353, 4343, 7825, 1475, 19749, 354, 25953, 11899, 8276, 23326, 263, 2412, 756, 338, 270, 1111, 476, 23326, 10534, 283, 274, 260, 1475, 283, 271, 269, 276, 260, 540, 2597, 1475, 283, 4968, 851, 829, 2929, 2008, 2690, 519, 3803, 10652, 2280, 4492, 602, 568, 4712, 585, 9513, 610, 1210, 267, 13581, 7648, 1256, 689, 9126, 547, 9126, 616, 17149, 267, 855, 519, 3604, 616, 2356, 28971, 543, 1454, 4130, 982, 1336, 538, 519, 3312, 6151, 1570, 1354, 4393, 269, 4475, 267, 596, 666, 1293, 593, 891, 26005, 909, 547, 21668, 296, 4441, 563, 30747, 569, 18564, 281, 1306, 11435, 540, 26005, 10518, 543, 4558, 3362, 267, 596, 666, 4688, 2724, 676, 2921, 5413, 540, 2539, 1055, 4005, 5777, 543, 2327, 741, 5162, 4492, 3761, 676, 9140, 2038, 563, 24841, 19994, 2280, 24759, 1299, 8381, 19994, 2280, 12518, 538, 3013, 454, 2467, 616, 6266, 540, 3574, 10652, 2280, 14200, 543, 3574, 10652, 2280, 2371, 2066, 519, 2136, 2276, 267, 543, 1034, 540, 873, 1491, 11348, 538, 519, 2298, 543, 4739, 26206, 602, 789, 2322, 538, 547, 1818, 741, 14167, 17263, 3574, 26005, 543, 4441, 3574, 26005, 269, 27603, 267, 3345, 1977, 10652, 2280, 2371, 941, 13883, 2059, 2427, 610, 2282, 513, 4718, 17524, 585, 1210, 6775, 22016, 538, 519, 2504, 540, 10821, 3446, 26005, 269, 12989, 616, 930, 540, 519, 1134, 8153, 12478, 540, 3574, 10652, 2280, 9755, 912, 25567, 320, 8381, 5682, 17781, 12713, 6052, 5549, 1421, 568, 513, 7791, 1648, 2754, 538, 8419, 269, 901, 2754, 7472, 827, 476, 4335, 267, 1822, 19726, 540, 3574, 26005, 267, 543, 621, 568, 6098, 5631, 585, 13143, 547, 3864, 5742, 563, 6124, 4789, 8381, 19994, 2280, 568, 519, 9510, 543, 4102, 10652, 2280, 10672, 538, 519, 17368, 14665, 2136, 2276, 269, 898, 568, 6131, 883, 1818, 711, 1152, 1175, 519, 1655, 7900, 3574, 26005, 538, 3013, 267, 855, 849, 519, 1034, 11967, 563, 299, 793, 7497, 3574, 26005, 616, 1500, 689, 13381, 267, 7791, 4718, 17524, 3653, 267, 543, 789, 616, 849, 909, 547, 14167, 3446, 269, 4706, 14167, 3574, 26005, 3132, 513, 5812, 267, 1164, 31641, 308, 3977, 543, 3132, 1447, 982, 835, 2600, 11849, 563, 763, 6990, 540, 10821, 23041, 543, 4853, 15245, 616, 4397, 547, 3136, 1332, 2059, 609, 8441, 538, 2973, 2029, 267, 4656, 543, 7082, 7287, 585, 8925, 543, 1942, 9806, 269, 7351, 5777, 540, 2067, 3154, 543, 3282, 1747, 3574, 10652, 2280, 4492, 693, 1655, 12721, 29143, 1227, 1996, 4492, 3282, 267, 4412, 2033, 610, 5201, 267, 3976, 1818, 519, 29036, 3013, 519, 1034, 9621, 6237, 2344, 269, 4475, 267, 5663, 3574, 26005, 568, 3810, 6225, 543, 17709, 269, 1403, 596, 849, 1616, 547, 581, 513, 10672, 540, 3574, 10652, 2280, 4492, 267, 596, 666, 1293, 593, 721, 585, 948, 689, 4642, 547, 519, 1439, 269, 1284, 616, 24584, 547, 5873, 689, 596, 2336, 2171, 4309, 679, 24751, 538, 2296, 267, 25385, 320, 10722, 565, 630, 28049, 1070, 2843, 510, 7846, 4736, 4736, 24012, 13953, 476, 9326, 13194, 9924, 7549, 630, 305, 11701, 1070, 31839, 9820, 630, 23210, 264, 543, 24291, 28257, 14507, 24220, 18716, 29756, 630, 288, 32106, 1040, 3776, 3318, 2319, 786, 16253, 547, 596, 1369, 835, 1870, 1554, 269, 7490, 1745, 1863, 547, 3346, 721, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8863, 2752, 3722, 9898, 269, 589, 3002, 1156, 269, 1717, 23406, 608, 27238, 267, 972, 568, 1100, 2601, 1946, 1200, 27808, 1178, 806, 949, 711, 723, 1044, 10694, 269, 6145, 12266, 21031, 540, 7584, 267, 1352, 1131, 4440, 581, 9952, 538, 13549, 1740, 267, 5310, 849, 538, 1210, 519, 32605, 543, 538, 22805, 269, 1809, 1869, 1352, 729, 711, 31235, 609, 519, 3020, 4984, 267, 1373, 513, 26902, 23124, 540, 519, 5601, 14780, 267, 543, 519, 824, 2820, 514, 885, 602, 10645, 519, 4630, 720, 540, 1200, 2197, 5443, 267, 2864, 982, 540, 8614, 327, 990, 1695, 2713, 543, 3020, 2696, 269, 8447, 3138, 767, 1465, 949, 581, 513, 10475, 10516, 540, 24656, 267, 543, 5837, 29284, 14909, 538, 835, 945, 568, 547, 581, 513, 7385, 282, 855, 4986, 666, 22771, 585, 519, 9000, 540, 4984, 269, 834, 293, 822, 712, 568, 13587, 527, 995, 2437, 3092, 269, 630, 3682, 18690, 476, 4029, 281, 1789, 1916, 7656, 269, 5990, 1627, 16604, 2894, 24202, 654, 3633, 291, 5058, 563, 272, 269, 18270, 730, 2038, 538, 519, 4622, 781, 12081, 630, 272, 18301, 476, 274, 281, 272, 1070, 543, 8969, 1652, 609, 4742, 26672, 712, 269, 898, 568, 711, 1434, 585, 2379, 806, 1022, 811, 982, 585, 27998, 547, 581, 4805, 267, 543, 834, 515, 602, 1265, 996, 513, 7385, 257, 630, 25075, 3660, 1352, 581, 513, 4807, 602, 905, 732, 628, 519, 7083, 264, 834, 22772, 996, 513, 1434, 3364, 257, 630, 3682, 18690, 476, 1240, 281, 2420, 1916, 273, 269, 7971, 1227, 25368, 585, 519, 1533, 267, 1498, 713, 568, 30940, 269, 5840, 2838, 1100, 12765, 816, 267, 2901, 689, 5527, 610, 28435, 6319, 267, 865, 1279, 607, 1352, 7283, 3020, 547, 8614, 327, 990, 1695, 630, 3674, 320, 11672, 476, 1789, 281, 274, 282, 22819, 31109, 476, 273, 281, 1240, 282, 22819, 31109, 476, 5655, 281, 866, 1040, 769, 1022, 2013, 267, 9444, 2797, 11880, 1466, 6862, 1514, 13418, 568, 513, 1697, 30254, 585, 24931, 7365, 267, 799, 1058, 2141, 581, 6273, 676, 2648, 1063, 519, 6105, 630, 22977, 1127, 2103, 476, 276, 281, 1839, 268, 2764, 1916, 274, 269, 25334, 4601, 1996, 519, 4521, 540, 2696, 269, 2201, 519, 835, 1688, 267, 621, 568, 11130, 630, 11390, 559, 267, 15840, 337, 994, 263, 272, 264, 602, 519, 631, 6242, 545, 29417, 630, 2750, 21402, 476, 4097, 281, 1626, 282, 1546, 17458, 16860, 476, 278, 281, 274, 264, 19275, 1152, 7365, 609, 2052, 22528, 527, 880, 2021, 3248, 263, 273, 264, 602, 711, 10238, 1746, 267, 621, 949, 581, 6956, 547, 723, 4847, 267, 19710, 609, 12266, 30823, 839, 3248, 263, 274, 264, 602, 971, 22888, 941, 14719, 730, 676, 15584, 607, 2009, 630, 5719, 17458, 16860, 476, 2537, 281, 278, 267, 1546, 17458, 16860, 476, 2537, 281, 279, 11850, 263, 275, 264, 602, 31279, 781, 8250, 949, 723, 1831, 513, 18340, 569, 974, 547, 519, 6014, 4984, 282, 543, 454, 263, 276, 264, 602, 519, 7365, 568, 24076, 538, 23075, 12799, 28715, 563, 4002, 519, 824, 1688, 267, 621, 568, 733, 2105, 630, 3849, 600, 22548, 651, 994, 263, 272, 264, 602, 519, 6240, 540, 519, 1876, 799, 17246, 1228, 7365, 609, 513, 2052, 22528, 527, 880, 30823, 523, 4294, 8449, 547, 606, 12266, 27959, 267, 538, 11047, 1276, 607, 1312, 941, 4914, 610, 856, 1633, 880, 2021, 3248, 263, 273, 264, 602, 31279, 781, 8250, 568, 1362, 539, 609, 519, 856, 1633, 880, 2021, 945, 3361, 21125, 547, 5609, 630, 272, 18301, 476, 1556, 281, 272, 282, 3026, 1335, 11672, 476, 1724, 281, 2918, 5148, 543, 454, 263, 274, 264, 602, 972, 568, 1100, 6169, 602, 31279, 781, 8250, 729, 513, 18340, 569, 974, 563, 763, 31077, 267, 2705, 267, 540, 713, 2063, 25195, 568, 9277, 547, 581, 20582, 676, 519, 1739, 9270, 912, 263, 272, 264, 2334, 21125, 267, 693, 519, 30134, 618, 540, 1010, 12081, 267, 1131, 15991, 723, 9310, 31279, 781, 8250, 1185, 1352, 711, 1044, 513, 18340, 569, 974, 267, 646, 1373, 693, 519, 942, 513, 24158, 540, 8614, 327, 990, 1695, 543, 606, 20626, 540, 1010, 2081, 3248, 263, 273, 264, 602, 31279, 781, 8250, 568, 711, 3957, 538, 669, 269, 476, 1556, 269, 1851, 519, 4622, 781, 24726, 945, 6822, 340, 1027, 741, 9393, 883, 31561, 520, 787, 3248, 263, 274, 264, 602, 972, 568, 711, 513, 10250, 540, 12266, 10847, 547, 581, 1336, 538, 5840, 1282, 713, 12081, 282, 543, 454, 263, 275, 264, 602, 519, 14576, 540, 21125, 543, 519, 17288, 1922, 604, 628, 533, 15680, 332, 1131, 711, 723, 1044, 7768, 538, 22632, 540, 1200, 16806, 267, 543, 2484, 1447, 15861, 547, 519, 17374, 267, 1185, 1352, 1044, 606, 31561, 520, 816, 563, 3719, 9039, 540, 891, 568, 20310, 563, 263, 272, 264, 21125, 1185, 2907, 606, 2549, 3000, 924, 7385, 1765, 27845, 600, 1695, 267, 519, 3993, 540, 1234, 327, 984, 27961, 630, 22396, 269, 476, 272, 18301, 476, 1556, 281, 5655, 609, 476, 272, 18301, 476, 1691, 281, 2641, 543, 476, 273, 20048, 2873, 476, 1321, 281, 1724, 2567, 729, 1352, 513, 18340, 569, 974, 888, 263, 273, 264, 932, 269, 476, 1556, 269, 568, 9833, 676, 930, 607, 11093, 31279, 781, 8250, 1851, 519, 856, 1633, 880, 2021, 945, 3361, 21125, 547, 5609, 563, 263, 274, 264, 12266, 31561, 520, 787, 949, 723, 1044, 1316, 2213, 538, 519, 15596, 781, 2777, 267, 1498, 711, 538, 519, 2244, 282, 543, 454, 263, 275, 264, 621, 568, 711, 1978, 602, 2901, 519, 5152, 610, 519, 533, 15680, 332, 729, 2854, 538, 22632, 540, 713, 14799, 269, 1677, 891, 949, 581, 3773, 454, 263, 276, 264, 602, 267, 1185, 1352, 1044, 513, 18340, 569, 974, 267, 21125, 1131, 711, 723, 2877, 547, 23868, 1200, 689, 519, 1193, 517, 724, 1245, 540, 27098, 1141, 519, 818, 330, 729, 267, 543, 454, 263, 277, 264, 602, 31279, 781, 8250, 729, 6157, 606, 856, 1633, 880, 4807, 563, 275, 269, 26184, 569, 796, 611, 14876, 593, 21125, 781, 851, 267, 898, 3366, 547, 1010, 7771, 883, 31561, 520, 787, 267, 952, 711, 2047, 2943, 18549, 267, 676, 3056, 1864, 547, 1039, 811, 24726, 543, 6677, 889, 1149, 547, 1010, 688, 8145, 563, 4353, 269, 5990, 1627, 16604, 2894, 24202, 19419, 2839, 9970, 2676, 272, 269, 769, 513, 5094, 2777, 538, 519, 2749, 540, 6424, 269, 2201, 1200, 16806, 267, 21125, 1705, 711, 3142, 1200, 883, 1010, 4651, 781, 19289, 1141, 5128, 759, 3660, 1765, 2288, 930, 3180, 646, 1705, 630, 289, 1068, 515, 879, 28931, 8117, 25778, 3022, 1200, 538, 513, 10151, 23029, 630, 11390, 559, 267, 15840, 337, 1070, 26471, 607, 513, 2601, 602, 519, 11623, 540, 519, 10424, 19289, 1185, 1044, 13394, 3603, 543, 21235, 13411, 676, 519, 4527, 540, 519, 818, 330, 540, 8614, 327, 990, 1695, 267, 543, 2495, 7551, 602, 547, 723, 5189, 883, 873, 606, 12266, 15596, 267, 1256, 1498, 513, 18340, 569, 974, 267, 609, 4440, 606, 10661, 540, 3002, 1156, 12103, 1749, 267, 1131, 723, 1044, 267, 547, 2161, 519, 2547, 267, 606, 1561, 3064, 1214, 269, 634, 1249, 602, 21125, 1223, 711, 561, 17690, 1010, 7385, 538, 1010, 4651, 781, 2777, 1058, 723, 1500, 1864, 19292, 607, 547, 1010, 7365, 269, 2334, 1319, 3234, 11102, 19710, 1590, 581, 8969, 995, 519, 31658, 540, 799, 5012, 835, 547, 25370, 9150, 519, 23942, 771, 921, 5501, 267, 610, 799, 835, 12034, 547, 581, 1651, 784, 745, 748, 609, 1318, 3909, 4743, 563, 273, 269, 769, 513, 2777, 733, 27631, 547, 21125, 781, 19289, 269, 901, 2777, 267, 16887, 5423, 585, 1200, 267, 711, 585, 513, 688, 8145, 630, 10190, 3780, 1070, 4646, 851, 540, 21125, 781, 1378, 23029, 630, 272, 18301, 476, 278, 281, 279, 1070, 1373, 13883, 2901, 3297, 630, 310, 10719, 264, 610, 1657, 630, 11390, 559, 1070, 610, 5310, 693, 519, 2427, 540, 621, 563, 272, 269, 25141, 568, 4378, 24461, 538, 782, 630, 3891, 3691, 9749, 476, 1724, 281, 275, 1916, 273, 269, 634, 10279, 540, 16806, 1152, 538, 519, 7083, 630, 272, 29833, 2103, 476, 278, 281, 4375, 1916, 274, 269, 634, 5609, 540, 21657, 18081, 563, 275, 269, 634, 17185, 540, 8152, 27512, 547, 2226, 741, 24726, 23102, 310, 563, 273, 20048, 2873, 476, 279, 281, 1321, 268, 1626, 454, 763, 2777, 540, 519, 7083, 3501, 539, 563, 296, 269, 5990, 590, 3722, 6020, 293, 2975, 2464, 8121, 305, 20315, 3633, 269, 630, 273, 20048, 2873, 476, 279, 281, 1321, 267, 476, 273, 20048, 2873, 476, 279, 281, 1724, 8094, 272, 269, 634, 1747, 593, 799, 891, 1058, 8754, 1721, 628, 581, 6035, 269, 834, 763, 26749, 540, 8614, 327, 990, 1695, 1354, 519, 11188, 577, 1701, 670, 2416, 1729, 21125, 543, 1866, 2073, 17495, 4843, 26151, 17008, 1354, 519, 9184, 1716, 12386, 693, 18582, 324, 517, 630, 273, 20048, 2873, 476, 272, 281, 274, 264, 543, 11992, 630, 273, 15656, 476, 277, 281, 1724, 1040, 9747, 1721, 628, 891, 1058, 581, 9788, 2390, 519, 2909, 7999, 26749, 538, 519, 11454, 5480, 269, 21125, 781, 3257, 865, 693, 519, 2673, 540, 519, 11428, 3028, 729, 513, 6101, 22305, 4851, 540, 519, 2259, 5921, 547, 581, 4553, 563, 273, 269, 634, 2053, 950, 891, 1058, 581, 6035, 563, 263, 272, 264, 5272, 1554, 24568, 519, 6640, 543, 10543, 15093, 269, 1924, 2696, 7569, 519, 1821, 19600, 543, 5289, 24279, 540, 1010, 1004, 693, 2038, 544, 1941, 543, 632, 14567, 552, 557, 563, 263, 273, 264, 2311, 2027, 12405, 1765, 517, 519, 521, 13741, 23411, 267, 519, 12353, 521, 13741, 23411, 543, 1346, 9648, 538, 519, 22984, 540, 15976, 267, 607, 593, 519, 1390, 4303, 540, 2311, 821, 618, 630, 299, 5271, 12792, 639, 476, 1626, 281, 4029, 1070, 543, 593, 519, 1101, 543, 21632, 2395, 540, 519, 3171, 770, 540, 16016, 1430, 532, 630, 299, 5271, 12792, 639, 476, 2537, 281, 4375, 5148, 593, 519, 1007, 24262, 630, 272, 15656, 476, 736, 281, 276, 267, 476, 272, 306, 320, 476, 736, 281, 1240, 282, 476, 273, 18301, 476, 275, 281, 2537, 282, 25360, 916, 476, 10037, 281, 274, 282, 30037, 476, 272, 281, 1724, 267, 30037, 476, 272, 281, 1691, 282, 15643, 476, 5780, 281, 272, 268, 2190, 2433, 2918, 5148, 543, 593, 519, 32444, 905, 6814, 1614, 2053, 513, 1032, 267, 1775, 4318, 269, 519, 30687, 267, 593, 519, 2185, 18818, 1554, 540, 519, 1101, 3923, 282, 519, 3171, 770, 540, 28610, 267, 610, 540, 519, 3689, 325, 21209, 267, 538, 519, 4098, 540, 7556, 282, 543, 519, 3171, 770, 540, 16016, 1430, 532, 267, 610, 519, 3171, 770, 540, 21741, 1716, 8163, 267, 593, 519, 6957, 18818, 1554, 540, 519, 18749, 3923, 630, 2750, 21402, 476, 2537, 281, 1691, 268, 1626, 282, 2274, 10903, 16307, 476, 2537, 281, 275, 268, 4510, 1040, 4033, 2053, 1522, 581, 6074, 676, 519, 26902, 2089, 704, 282, 891, 519, 26902, 23124, 729, 711, 693, 15698, 547, 10714, 269, 7201, 8567, 972, 568, 606, 9048, 3027, 1043, 5934, 9944, 799, 835, 3112, 979, 538, 7674, 2696, 543, 2943, 3409, 547, 581, 513, 1167, 2118, 563, 274, 269, 634, 2268, 2687, 547, 799, 891, 1058, 581, 6035, 269, 4340, 547, 519, 3232, 2557, 11311, 676, 15584, 630, 2750, 21402, 476, 2537, 281, 1691, 282, 2274, 10903, 16307, 476, 2537, 281, 4391, 282, 1546, 17458, 16860, 476, 1626, 281, 1626, 267, 1546, 17458, 16860, 476, 1626, 281, 1704, 1040, 9282, 21125, 1185, 1044, 4378, 10696, 547, 16245, 513, 11454, 267, 646, 1705, 711, 1745, 5128, 693, 15698, 547, 4412, 895, 513, 1007, 9161, 267, 543, 2484, 1447, 547, 20576, 513, 1007, 4984, 269, 1280, 1864, 267, 607, 585, 782, 1354, 543, 1310, 267, 2394, 519, 3505, 1145, 540, 519, 2053, 267, 15584, 729, 519, 6852, 6392, 538, 14985, 543, 538, 10847, 269, 4595, 519, 3505, 1145, 540, 519, 2053, 267, 2441, 267, 519, 3152, 982, 15584, 267, 568, 282, 543, 786, 2914, 11208, 630, 8624, 1601, 2103, 476, 273, 281, 2537, 264, 568, 607, 2370, 7989, 24777, 896, 519, 1007, 7006, 18730, 607, 621, 729, 896, 519, 2025, 563, 2862, 269, 5990, 623, 6020, 12239, 14877, 2910, 7838, 306, 2464, 6673, 17269, 19860, 3633, 269, 630, 273, 20048, 2873, 476, 279, 281, 1691, 8094, 272, 269, 634, 4806, 4553, 269, 634, 1931, 540, 6424, 630, 272, 20048, 2873, 476, 2190, 281, 272, 268, 4029, 12175, 6787, 267, 538, 3976, 25786, 519, 17913, 11856, 267, 6424, 19500, 896, 23942, 4287, 610, 711, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5512, 519, 769, 20129, 16390, 538, 519, 654, 11085, 1895, 269, 0, 303, 2432, 829, 12945, 3723, 1535, 476, 1626, 269, 26289, 5379, 274, 275, 815, 4846, 8276, 274, 454, 303, 2432, 540, 3196, 829, 12945, 3723, 1535, 476, 271, 269, 1626, 630, 271, 269, 14991, 5400, 278, 275, 5038, 264, 815, 4893, 821, 342, 27971, 829, 12945, 11281, 563, 272, 4846, 11305, 889, 545, 25451, 815, 476, 6507, 269, 5952, 274, 6550, 270, 12945, 3723, 563, 1692, 547, 6460, 10699, 545, 11281, 547, 31641, 308, 454, 11899, 1315, 12945, 25451, 2608, 476, 271, 269, 6187, 273, 275, 2764, 815, 6550, 1315, 12945, 3723, 3436, 865, 2433, 476, 1015, 4846, 1315, 12945, 25451, 2608, 476, 271, 269, 6187, 273, 4366, 815, 476, 271, 269, 277, 2190, 279, 6550, 1315, 12945, 3723, 454, 2791, 1131, 991, 547, 917, 519, 5860, 540, 519, 6219, 538, 2243, 563, 1692, 547, 6460, 544, 3387, 14654, 547, 12945, 11281, 454, 2791, 666, 1405, 6460, 602, 563, 2791, 3112, 6460, 513, 4320, 547, 606, 1858, 269, 1411, 666, 267, 2705, 267, 6460, 20990, 547, 12945, 7397, 267, 2094, 1312, 616, 12531, 269, 1703, 616, 476, 1911, 271, 20990, 538, 513, 12945, 11281, 267, 865, 547, 6460, 547, 12945, 7397, 7941, 676, 476, 1911, 271, 20990, 1315, 12945, 11281, 563, 272, 12945, 11281, 815, 476, 272, 4893, 7035, 516, 454, 11372, 17586, 9748, 676, 476, 272, 267, 276, 3066, 269, 1556, 547, 1205, 6550, 829, 12945, 13452, 17041, 476, 274, 269, 274, 1535, 476, 272, 267, 276, 3066, 269, 1556, 815, 476, 276, 267, 271, 5379, 269, 6187, 274, 6550, 829, 12945, 13452, 454, 20123, 17586, 536, 476, 1911, 271, 547, 6460, 689, 12945, 11281, 547, 20990, 454, 272, 12945, 11281, 815, 476, 1911, 271, 1396, 516, 454, 272, 630, 31957, 545, 11281, 264, 815, 476, 3374, 269, 27183, 12945, 3952, 563, 5591, 7503, 568, 2838, 1701, 544, 274, 834, 1797, 834, 31957, 545, 11281, 8487, 6011, 649, 666, 6460, 4881, 11281, 547, 12945, 4881, 11281, 1677, 1205, 12945, 11281, 267, 596, 991, 547, 917, 519, 3259, 267, 519, 8700, 267, 543, 519, 4463, 269, 25092, 1346, 1614, 1927, 547, 1205, 4320, 538, 12945, 7397, 269, 1411, 666, 1405, 1205, 12945, 11281, 1175, 676, 6616, 835, 10155, 971, 607, 4881, 11281, 269, 1411, 991, 782, 1614, 7516, 563, 19808, 6372, 26008, 10699, 545, 11281, 568, 513, 4320, 2268, 543, 4009, 11281, 568, 513, 2268, 540, 1858, 8627, 2336, 288, 1770, 540, 3259, 630, 1492, 1298, 9014, 264, 1281, 711, 6460, 547, 513, 1770, 540, 4320, 630, 1492, 12945, 11281, 1040, 20099, 568, 711, 4320, 563, 272, 12945, 11281, 815, 476, 271, 3374, 275, 21567, 454, 272, 12945, 11281, 815, 476, 3374, 269, 27183, 5780, 278, 12945, 10623, 564, 454, 2791, 666, 1405, 6460, 1063, 7397, 543, 12945, 7397, 563, 2467, 616, 827, 476, 3374, 269, 27183, 12945, 3952, 538, 835, 12945, 11281, 269, 1924, 281, 31957, 545, 7397, 1535, 476, 3374, 269, 27183, 815, 12945, 3952, 454, 272, 4846, 829, 12945, 11281, 815, 476, 274, 269, 277, 1321, 278, 3066, 273, 6398, 476, 1015, 268, 276, 6550, 829, 12945, 10759, 563, 527, 568, 7543, 269, 4009, 11281, 568, 513, 1770, 540, 1858, 543, 12945, 11281, 568, 540, 4320, 563, 11372, 17586, 12945, 3952, 676, 476, 271, 269, 271, 2764, 274, 547, 1205, 12945, 7397, 563, 11372, 17586, 519, 12945, 3952, 676, 476, 271, 269, 271, 2764, 3953, 547, 1205, 12945, 15432, 269, 0, 29804, 6118, 9249, 281, 11882, 10406, 540, 13812, 3096, 8285, 4054, 547, 948, 3165, 2551, 454, 291, 5962, 538, 22970, 267, 25192, 543, 17309, 267, 11882, 10406, 540, 13812, 5520, 22755, 2185, 2914, 31856, 619, 2066, 519, 6777, 2275, 2642, 2666, 693, 4639, 25032, 1763, 969, 7546, 267, 1951, 21794, 15985, 956, 540, 8285, 4054, 563, 5445, 13615, 519, 4054, 883, 536, 31708, 267, 7923, 873, 547, 524, 5407, 7161, 543, 16559, 873, 2066, 519, 13111, 781, 3819, 15135, 267, 6028, 18162, 540, 12566, 19271, 538, 741, 12687, 563, 763, 3135, 949, 723, 6743, 899, 513, 8285, 3529, 1178, 3272, 731, 267, 855, 519, 4674, 786, 1832, 5215, 540, 6550, 540, 6691, 762, 1570, 856, 540, 26071, 713, 1032, 563, 763, 1533, 8116, 5116, 10199, 476, 6110, 2025, 8285, 4054, 13628, 12784, 693, 4639, 25032, 1763, 969, 7546, 1055, 12928, 1952, 10003, 538, 5800, 720, 6019, 543, 519, 5449, 9702, 4099, 20355, 786, 4166, 4196, 607, 9249, 585, 3165, 269, 769, 519, 2887, 267, 519, 10720, 1377, 568, 22485, 547, 1852, 936, 29115, 540, 18047, 543, 585, 6360, 1852, 5301, 563, 257, 30631, 1302, 519, 1216, 568, 2469, 547, 2097, 909, 543, 3382, 519, 4054, 1934, 950, 519, 4832, 7535, 4991, 1394, 856, 538, 4639, 25032, 2437, 7320, 11464, 3057, 3626, 19994, 5586, 337, 7236, 1767, 563, 763, 4054, 786, 581, 1063, 1614, 547, 3670, 3952, 2620, 2899, 519, 1216, 1377, 7024, 547, 3339, 563, 300, 3430, 16423, 324, 267, 513, 21996, 29489, 609, 519, 10406, 540, 13812, 267, 1767, 519, 8116, 3096, 8285, 4054, 1317, 834, 16269, 2811, 7168, 1454, 607, 2067, 513, 6219, 607, 596, 666, 1205, 4799, 310, 6504, 324, 267, 945, 13327, 525, 519, 1788, 267, 6045, 602, 950, 1804, 23854, 538, 519, 1858, 941, 1101, 4646, 267, 789, 8659, 513, 4494, 540, 2067, 7226, 267, 1500, 689, 15468, 4054, 543, 588, 7927, 267, 602, 3165, 1223, 946, 585, 8023, 543, 15720, 689, 11975, 563, 2026, 12647, 2085, 267, 16423, 324, 1767, 519, 2067, 11935, 9397, 1524, 543, 5555, 7106, 8986, 563, 257, 3383, 950, 596, 1376, 6158, 827, 32543, 18166, 7226, 585, 3165, 5095, 547, 8853, 1055, 540, 267, 972, 781, 1100, 1732, 6219, 982, 519, 2067, 267, 29762, 11935, 649, 666, 1265, 3833, 11593, 1310, 519, 9702, 4005, 2437, 16423, 324, 1767, 563, 763, 10406, 540, 13812, 5833, 4054, 602, 4769, 1405, 6133, 1282, 519, 9702, 4005, 689, 21625, 971, 607, 8899, 324, 781, 543, 5851, 3493, 582, 267, 607, 1134, 607, 998, 513, 9657, 1982, 563, 310, 6504, 324, 6059, 519, 8116, 3335, 973, 344, 3380, 1063, 476, 272, 267, 4335, 543, 476, 273, 267, 1822, 4054, 1169, 1032, 267, 609, 1142, 3529, 20604, 827, 476, 1789, 6550, 563, 24679, 781, 606, 10731, 4199, 602, 596, 1810, 1405, 1616, 547, 1294, 5734, 519, 26071, 2437, 646, 1767, 563, 310, 6504, 324, 1767, 519, 9249, 4324, 1004, 945, 3165, 1317, 789, 4482, 3165, 547, 1346, 6810, 540, 519, 10720, 563, 10454, 3165, 786, 979, 972, 1317, 602, 781, 1018, 789, 6923, 1616, 547, 798, 269, 1358, 1616, 547, 12314, 609, 930, 4990, 540, 7226, 2437, 16423, 324, 1767, 269, 834, 10190, 267, 519, 2587, 6840, 666, 979, 972, 543, 1265, 519, 3165, 4799, 1103, 1840, 547, 3165, 9249, 267, 19994, 5586, 337, 7236, 1767, 519, 4054, 666, 581, 1031, 593, 2244, 585, 17544, 543, 824, 1507, 7068, 602, 2972, 29762, 9249, 563, 1607, 1032, 267, 519, 10406, 540, 13812, 849, 4566, 547, 1747, 930, 4130, 3529, 3889, 693, 12670, 8235, 563, 1103, 3105, 1296, 267, 519, 8116, 5249, 609, 10068, 15731, 543, 824, 1533, 9988, 547, 798, 3677, 13307, 3785, 267, 855, 16423, 324, 1767, 789, 6854, 873, 811, 13671, 713, 1032, 1317, 540, 519, 6855, 563, 8448, 9634, 1141, 9249, 723, 1044, 5116, 538, 1296, 2250, 1331, 17018, 10181, 334, 15880, 8235, 538, 2558, 3518, 1638, 6019, 543, 5487, 18814, 1763, 969, 7546, 538, 2983, 879, 8615, 6019, 269, 0, 289, 698, 7666, 569, 3778, 267, 7731, 595, 6135, 1299, 3213, 1846, 540, 1488, 916, 454, 763, 2012, 20045, 7666, 569, 568, 540, 17454, 29509, 5169, 543, 3357, 689, 950, 519, 1920, 5030, 538, 27991, 10921, 267, 1141, 789, 941, 4371, 1609, 919, 693, 645, 12000, 13704, 269, 634, 1920, 2012, 729, 8385, 6508, 689, 519, 2012, 540, 713, 812, 3645, 10160, 269, 634, 2262, 9126, 326, 13704, 538, 3504, 590, 19414, 1797, 1164, 2666, 269, 1452, 1747, 4408, 616, 3622, 2219, 547, 17589, 689, 606, 6196, 2296, 2123, 2012, 645, 659, 8615, 543, 519, 6196, 2296, 2262, 682, 1695, 267, 2495, 513, 21757, 538, 519, 18137, 563, 15900, 17959, 540, 519, 20045, 7666, 569, 1920, 454, 763, 21519, 20045, 7666, 569, 729, 1101, 1336, 538, 1744, 549, 23137, 693, 20045, 2917, 267, 513, 1507, 6917, 8498, 538, 519, 25110, 540, 670, 867, 2917, 269, 634, 9998, 2594, 540, 519, 1747, 2012, 729, 1336, 538, 524, 269, 11820, 271, 950, 621, 729, 7396, 607, 645, 720, 548, 807, 269, 3097, 289, 698, 2917, 8862, 797, 568, 513, 18296, 538, 519, 4627, 540, 26268, 518, 267, 538, 7137, 802, 10921, 269, 834, 288, 27694, 729, 8547, 1934, 676, 595, 20811, 267, 18755, 518, 1195, 540, 2578, 342, 710, 267, 27630, 4622, 540, 24380, 16303, 282, 799, 729, 6569, 547, 2806, 532, 18484, 538, 476, 27151, 267, 602, 4884, 543, 922, 16289, 1137, 2348, 1044, 8655, 547, 621, 676, 595, 1737, 13665, 320, 269, 834, 3097, 4407, 519, 21519, 4440, 12090, 538, 1744, 549, 23137, 267, 649, 1590, 1413, 547, 27991, 10921, 547, 1265, 519, 9998, 5638, 269, 634, 1920, 729, 700, 3581, 540, 519, 2494, 528, 540, 645, 12000, 13704, 543, 4371, 513, 1920, 10160, 972, 689, 3504, 2053, 269, 20045, 2544, 344, 8065, 2282, 25480, 729, 3710, 538, 519, 476, 1691, 628, 2540, 676, 11184, 5261, 632, 20045, 2544, 344, 267, 610, 7654, 676, 835, 540, 1010, 14930, 269, 898, 949, 723, 8719, 606, 476, 1556, 628, 610, 476, 1321, 628, 2540, 2497, 269, 834, 314, 289, 698, 2544, 344, 538, 27991, 10921, 316, 729, 693, 606, 2038, 1974, 519, 3959, 540, 519, 20045, 2544, 903, 267, 4171, 646, 328, 816, 4547, 621, 547, 519, 2274, 724, 338, 282, 519, 8545, 4421, 621, 1701, 3097, 15900, 3778, 540, 519, 20045, 7666, 569, 1920, 454, 1607, 1357, 2985, 2982, 1152, 513, 1507, 21626, 540, 938, 20045, 7666, 569, 1382, 269, 6271, 476, 13932, 1913, 630, 1321, 3515, 540, 1257, 264, 8720, 519, 1296, 476, 14695, 271, 267, 476, 15171, 278, 267, 476, 15946, 273, 267, 476, 15389, 280, 267, 476, 14338, 271, 267, 476, 15757, 275, 267, 476, 13679, 275, 543, 476, 13679, 275, 616, 3769, 896, 519, 1888, 7216, 20045, 7666, 569, 3778, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 289, 698, 7666, 569, 26538, 29938, 454, 2005, 568, 1152, 538, 519, 2063, 1906, 4627, 1296, 602, 519, 2296, 1893, 814, 1044, 13387, 269, 1280, 602, 2601, 267, 2038, 17454, 29509, 1147, 12849, 899, 20045, 7666, 569, 616, 6353, 676, 1082, 10259, 7648, 269, 1306, 519, 2296, 1893, 4957, 543, 11368, 2609, 540, 824, 3864, 4654, 267, 1256, 2148, 622, 1004, 4957, 519, 10259, 540, 741, 4408, 269, 2480, 1026, 525, 543, 26112, 538, 519, 5664, 12698, 25250, 4408, 789, 32131, 267, 865, 621, 568, 1455, 547, 1265, 1896, 7648, 602, 3277, 547, 513, 2582, 1268, 269, 634, 7648, 540, 519, 2012, 20045, 7666, 569, 1331, 281, 20045, 2917, 267, 20045, 613, 2917, 267, 645, 12000, 13704, 267, 645, 12000, 1446, 344, 267, 645, 720, 2917, 267, 645, 12000, 601, 599, 267, 20045, 569, 543, 1082, 811, 563, 15900, 3502, 1963, 540, 519, 20045, 7666, 569, 1920, 630, 2181, 476, 10204, 271, 994, 18850, 3907, 1639, 2818, 540, 519, 1920, 1331, 12138, 20045, 2544, 344, 267, 645, 6993, 1421, 556, 2758, 540, 519, 5939, 540, 853, 269, 7812, 267, 589, 7676, 2023, 267, 19903, 1662, 790, 538, 476, 15757, 275, 267, 855, 729, 834, 854, 4166, 27226, 585, 1138, 3415, 27883, 25975, 3539, 610, 9513, 540, 1945, 5289, 13580, 1701, 3097, 24109, 874, 9445, 645, 16925, 2917, 630, 1166, 269, 476, 13679, 275, 1070, 729, 513, 9576, 626, 2483, 5194, 476, 2412, 1913, 630, 274, 3515, 540, 1257, 264, 616, 3769, 896, 519, 1888, 7216, 20045, 7666, 569, 3502, 1963, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 300, 12568, 540, 519, 20045, 7666, 569, 1920, 547, 8581, 454, 5278, 540, 519, 20045, 7666, 569, 1920, 6410, 547, 8581, 267, 855, 713, 1888, 568, 711, 4988, 538, 713, 21626, 563, 5194, 476, 4343, 1913, 630, 274, 3515, 540, 1257, 264, 827, 741, 1272, 538, 8581, 568, 3769, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 300, 12568, 540, 519, 20045, 7666, 569, 1920, 454, 6624, 2296, 3885, 13110, 540, 2797, 543, 3909, 1193, 1057, 2451, 6628, 585, 519, 1007, 10125, 538, 3345, 3013, 269, 4014, 519, 7552, 3294, 6035, 1100, 8323, 910, 2175, 593, 519, 9635, 941, 5393, 16081 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3131, 545, 731, 1756, 281, 634, 5485, 1634, 607, 519, 829, 545, 731, 1756, 27788, 543, 11226, 538, 7863, 519, 2295, 269, 589, 1507, 7274, 540, 5714, 602, 19149, 919, 519, 2295, 543, 1447, 839, 11508, 1247, 621, 20054, 568, 849, 1459, 563, 268, 9839, 9931, 281, 634, 12473, 731, 1756, 267, 26961, 1756, 267, 543, 1439, 18201, 1756, 616, 519, 1614, 6106, 540, 5160, 602, 1118, 909, 519, 2295, 3774, 269, 634, 12473, 731, 1756, 568, 519, 9018, 4494, 540, 6094, 5160, 8720, 519, 2295, 781, 2627, 267, 543, 519, 26961, 1756, 568, 519, 1647, 4494, 7768, 540, 519, 2295, 4887, 269, 634, 1439, 18201, 1756, 568, 519, 6418, 4494, 4646, 540, 513, 6094, 4494, 540, 5160, 602, 3515, 519, 3330, 540, 519, 2295, 563, 10376, 540, 891, 3334, 540, 519, 2295, 1568, 1927, 547, 2327, 519, 1697, 8647, 540, 519, 2295, 543, 1973, 10009, 2429, 519, 1560, 269, 4197, 519, 2295, 781, 2497, 568, 1271, 585, 1620, 875, 621, 1568, 543, 519, 1585, 2175, 602, 666, 1860, 621, 563, 288, 9839, 7304, 601, 730, 17136, 454, 763, 16209, 602, 3049, 519, 2295, 4887, 609, 5135, 543, 5567, 7936, 1055, 519, 513, 677, 320, 267, 519, 1292, 1973, 8756, 602, 3560, 338, 1973, 689, 519, 2295, 269, 634, 2295, 849, 814, 922, 1973, 3761, 3177, 676, 519, 18337, 16209, 269, 634, 18337, 16209, 666, 1831, 7522, 610, 17808, 267, 513, 2783, 1634, 607, 18337, 16050, 2068, 267, 799, 666, 1291, 547, 513, 2295, 4323, 269, 1879, 519, 1973, 3761, 547, 513, 3296, 540, 519, 2295, 4887, 568, 2759, 1055, 267, 519, 4299, 3296, 10523, 267, 4611, 538, 513, 2295, 4323, 563, 6635, 337, 20263, 5362, 616, 9402, 2295, 18819, 602, 666, 2014, 519, 1932, 3500, 267, 2295, 547, 10726, 1932, 3728, 610, 12150, 569, 269, 634, 2295, 666, 849, 581, 4299, 676, 824, 2175, 267, 971, 607, 2295, 11896, 2068, 267, 2295, 11733, 4713, 630, 1551, 20263, 5362, 1070, 543, 22787, 2295, 2068, 630, 24711, 12889, 1459, 693, 4332, 1040, 1879, 835, 610, 811, 540, 519, 2295, 781, 17901, 2736, 543, 29572, 519, 2834, 2095, 540, 1973, 998, 519, 2295, 267, 2295, 11896, 2068, 2164, 269, 1879, 519, 2295, 610, 519, 1973, 9055, 2673, 547, 519, 2295, 798, 711, 1332, 7157, 1354, 4332, 267, 22787, 2295, 2068, 568, 513, 1966, 602, 2164, 563, 1103, 1840, 547, 2564, 2175, 267, 6197, 2188, 971, 607, 2732, 267, 3635, 267, 543, 7296, 666, 849, 1860, 519, 2295, 781, 1072, 269, 589, 2732, 1164, 538, 3170, 543, 8501, 543, 1970, 538, 6775, 543, 5567, 666, 2333, 519, 1981, 540, 2295, 2068, 269, 20767, 23358, 19824, 543, 513, 3668, 540, 3635, 666, 849, 2014, 2295, 2068, 269, 25003, 4679, 519, 1981, 540, 2295, 4323, 543, 8482, 676, 31362, 519, 2295, 543, 1973, 8043, 563, 288, 23225, 12700, 13565, 547, 9839, 454, 763, 1480, 2295, 568, 513, 4105, 1418, 3743, 585, 23028, 1973, 2429, 519, 1560, 267, 543, 621, 4249, 513, 2629, 1909, 538, 4509, 1072, 543, 568, 1419, 5219, 547, 607, 519, 834, 19956, 257, 540, 519, 1480, 1560, 269, 3371, 616, 930, 1883, 5013, 827, 519, 1480, 2295, 912, 268, 22845, 281, 589, 16757, 1418, 538, 519, 9221, 267, 519, 2295, 568, 13883, 1657, 519, 29690, 267, 3297, 519, 29523, 636, 267, 543, 1063, 519, 9641, 269, 898, 22179, 1063, 476, 7742, 543, 476, 12573, 13532, 543, 814, 513, 2450, 2147, 547, 513, 6806, 31329, 563, 268, 10552, 2095, 281, 634, 9025, 1062, 568, 513, 1062, 540, 1973, 9055, 998, 799, 519, 2295, 15450, 1973, 269, 10552, 12599, 998, 16209, 689, 519, 2295, 547, 519, 1964, 540, 519, 1560, 543, 7024, 998, 15532, 563, 268, 9839, 16422, 1499, 281, 634, 1318, 693, 8922, 543, 28602, 548, 267, 2059, 609, 519, 2451, 693, 8922, 543, 28602, 548, 267, 1118, 909, 519, 2295, 781, 2185, 20830, 269, 1546, 2135, 4723, 730, 1973, 568, 10356, 543, 29253, 676, 519, 1318, 693, 8922, 543, 28602, 548, 267, 543, 5135, 730, 1973, 568, 10356, 543, 3812, 676, 519, 2451, 693, 8922, 543, 28602, 548, 563, 268, 9839, 2041, 1846, 281, 634, 2295, 5781, 20054, 267, 10451, 513, 24754, 13942, 602, 666, 581, 5433, 538, 1114, 1560, 2694, 269, 2201, 3328, 267, 519, 2295, 20054, 476, 2568, 268, 1911, 2053, 829, 8792, 267, 855, 713, 666, 4268, 4470, 593, 1585, 2188, 971, 607, 3635, 267, 2566, 267, 543, 2085, 563, 268, 10552, 16242, 281, 634, 2295, 781, 23028, 2962, 12958, 1973, 2604, 267, 799, 568, 519, 3196, 540, 1973, 1996, 519, 6821, 540, 1973, 8043, 269, 4400, 1973, 2604, 568, 513, 1455, 1072, 1966, 602, 4679, 519, 1981, 540, 2295, 2068, 267, 8482, 267, 543, 8459, 2068, 563, 268, 15379, 2534, 281, 634, 2295, 781, 11733, 568, 14931, 676, 5122, 25372, 538, 513, 7463, 1895, 540, 2281, 1572, 519, 521, 3626, 520, 7434, 630, 6347, 264, 6843, 267, 4092, 538, 519, 1318, 693, 8922, 269, 634, 2295, 4887, 11731, 543, 1973, 568, 29253, 607, 519, 5122, 25372, 1780, 998, 621, 563, 268, 9839, 4406, 1407, 281, 9050, 17901, 538, 519, 2295, 1852, 1973, 2095, 543, 3247, 1394, 6503, 269, 634, 17901, 616, 519, 28886, 639, 3671, 11896, 267, 5378, 1537, 11896, 267, 513, 20294, 11896, 267, 543, 17422, 11896, 563, 268, 10552, 18242, 281, 634, 2295, 11392, 922, 1973, 3761, 998, 519, 18337, 16209, 267, 799, 22132, 689, 519, 513, 677, 320, 543, 7936, 1055, 547, 3761, 519, 2295, 4887, 609, 5135, 543, 5567, 563, 268, 9839, 8376, 281, 9839, 2068, 267, 799, 13315, 513, 3099, 540, 4713, 602, 1860, 519, 2295, 543, 1973, 16209, 267, 568, 519, 3791, 6574, 2014, 540, 9019, 538, 519, 1158, 269, 9839, 6285, 267, 2295, 5821, 267, 18337, 16050, 2068, 267, 543, 2855, 20263, 5362, 616, 6093, 3029, 540, 2295, 2068, 563, 268, 11957, 281, 634, 2295, 568, 1898, 585, 1272, 267, 543, 922, 1697, 8647, 568, 2556, 585, 4509, 1434, 1072, 269, 8617, 3635, 267, 513, 2635, 2732, 267, 543, 9319, 1981, 2188, 971, 607, 7296, 267, 1164, 1973, 2604, 267, 543, 1164, 8501, 666, 948, 547, 1832, 513, 2635, 2295, 563, 288, 23225, 5871, 3733, 2195, 6168, 519, 9839, 454, 2080, 616, 513, 1906, 1455, 14868, 827, 519, 2295, 912, 268, 19088, 281, 2659, 2295, 1236, 2354, 513, 10726, 950, 596, 2811, 18901, 563, 15542, 281, 901, 568, 513, 1455, 4082, 267, 855, 621, 781, 711, 3020, 269, 1879, 596, 1995, 513, 6727, 1376, 548, 610, 4250, 267, 596, 949, 1745, 513, 4028, 26470, 610, 1166, 32211, 14815, 267, 855, 713, 568, 1813, 547, 513, 5305, 540, 19076, 13824, 543, 513, 10151, 2333, 538, 707, 2295, 2557, 267, 711, 1317, 707, 2295, 814, 1236, 5792, 513, 10726, 563, 268, 19088, 281, 634, 2295, 568, 4092, 593, 519, 2451, 2427, 540, 519, 1560, 563, 15542, 281, 634, 2295, 568, 4092, 538, 519, 4099, 540, 519, 9221, 267, 3297, 519, 29523, 636, 267, 543, 5594, 547, 519, 2451, 267, 543, 621, 568, 711, 4092, 7357, 593, 519, 2451, 2427, 563, 268, 19088, 281, 634, 2295, 568, 1152, 519, 2450, 540, 513, 31329, 563, 15542, 281, 634, 2450, 540, 513, 2295, 666, 8428, 3648, 2066, 1004, 267, 543, 621, 666, 581, 12936, 676, 2188, 971, 607, 2085, 267, 4008, 267, 543, 2489, 1072, 269, 589, 3339, 2937, 2295, 666, 2039, 538, 2450, 689, 827, 519, 2450, 540, 513, 31329, 547, 519, 2450, 540, 513, 1804, 18812, 26258, 563, 268, 19088, 281, 634, 2295, 568, 519, 2707, 540, 4664, 563, 15542, 281, 634, 2295, 568, 1419, 2404, 609, 4664, 267, 855, 713, 568, 513, 2686, 7664, 543, 711, 513, 23963, 8810, 1249, 269, 634, 2295, 949, 4431, 547, 4664, 676, 4657, 922, 2557, 610, 11733, 267, 855, 621, 568, 711, 519, 2707, 540, 4664, 269, 634, 2634, 7472, 4664, 267, 799, 519, 8401, 1062, 18993, 1080, 547, 519, 1560, 563, 268, 19088, 281, 1411, 666, 1745, 952, 707, 2295, 568, 2635, 563, 15542, 281, 769, 1082, 2665, 267, 596, 949, 711, 581, 2111, 547, 2995, 952, 707, 2295, 568, 2635, 1175, 676, 875, 621, 7959, 269, 2368, 2295, 2042, 267, 971, 607, 1164, 1973, 2604, 267, 949, 711, 2014, 2589, 267, 1247, 824, 2175, 267, 899, 513, 2295, 4323, 267, 666, 2014, 4049, 2589, 269, 898, 781, 2629, 547, 3643, 513, 4387, 585, 6296, 4255, 543, 18362, 547, 1832, 513, 2673, 3750, 593, 519, 2783, 540, 707, 2295, 563, 1103, 3932, 267, 519, 2295, 568, 606, 1271, 543, 7294, 1418, 602, 15450, 1973, 2429, 519, 1560, 543, 2488, 5135, 543, 6484, 547, 4105, 8219, 269, 898, 568, 1898, 547, 24569, 1434, 1072, 269, 634, 2295, 13408, 1896, 2694, 267, 1519, 519, 693, 6319, 267, 28602, 956, 267, 31027, 636, 267, 17901, 267, 18337, 16209, 267, 543, 1973, 8043, 563, 31010, 513, 2635, 2295, 568, 1898, 585, 2949, 1134, 5630, 543, 2298, 540, 1272, 269, 6736, 922, 2956, 267, 972, 616, 1082, 20887, 543, 14868, 827, 519, 2295, 267, 543, 621, 781, 1271, 547, 723, 4977, 1344, 547, 3895, 1434, 2295, 1072, 269, 634, 2295, 949, 581, 6854, 2635, 998, 2834, 2638, 5725, 267, 513, 2635, 6197, 267, 543, 2656, 2564, 3007, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19399, 19399, 5992, 2971, 2162, 454, 258, 5254, 11286, 28313, 281, 20861, 476, 274, 281, 2859, 4359, 16150, 532, 269, 31698, 875, 547, 1246, 1412, 10113, 262, 3097, 258, 6402, 689, 2985, 547, 2985, 281, 946, 3252, 267, 865, 596, 666, 1289, 519, 1482, 3009, 3097, 258, 14578, 269, 14662, 4629, 17247, 9215, 5990, 645, 5588, 307, 6865, 9215, 590, 7417, 5990, 5254, 11286, 5508, 5990, 590, 10135, 4338, 2207, 563, 19399, 19399, 5992, 2971, 2162, 692, 5814, 22696, 704, 342, 5942, 454, 5814, 29250, 27785, 454, 5814, 561, 343, 6447, 11258, 692, 258, 1085, 7275, 4671, 762, 1599, 281, 4991, 5293, 606, 1367, 2985, 547, 1085, 7275, 454, 3698, 1085, 7275, 4671, 762, 20172, 2567, 1948, 3597, 4756, 3989, 538, 1085, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 281, 16163, 525, 1535, 6447, 689, 29250, 454, 825, 9343, 815, 3597, 6983, 1087, 572, 937, 2891, 14456, 8442, 476, 1948, 2824, 338, 782, 2999, 14456, 285, 7161, 454, 825, 585, 4737, 538, 9343, 912, 1038, 1948, 5590, 909, 938, 1239, 2594, 910, 649, 3513, 991, 621, 2663, 454, 1038, 2594, 815, 31460, 1038, 3349, 318, 3250, 338, 815, 4737, 6983, 1087, 572, 937, 2891, 11575, 8442, 1948, 1349, 1591, 538, 519, 3349, 607, 596, 8520, 998, 621, 454, 1038, 952, 3349, 318, 3250, 338, 281, 1948, 952, 972, 616, 1022, 2281, 454, 2018, 2594, 9131, 305, 864, 322, 6847, 11172, 815, 3349, 318, 3250, 338, 314, 271, 4940, 3667, 318, 20880, 3890, 1948, 2322, 519, 1257, 1063, 1142, 11090, 538, 513, 4756, 1572, 2594, 267, 2189, 1883, 568, 7376, 454, 2018, 2594, 9131, 11754, 816, 543, 25439, 7089, 11172, 815, 3349, 318, 3250, 338, 314, 272, 4940, 3667, 318, 20880, 4590, 2018, 1948, 7179, 856, 519, 1239, 649, 4312, 10356, 454, 2018, 1820, 2594, 267, 1412, 1366, 955, 7055, 2018, 1948, 7053, 267, 4688, 519, 2594, 547, 519, 3611, 770, 648, 910, 1412, 9209, 626, 262, 568, 938, 2189, 1883, 454, 2018, 22696, 704, 342, 5942, 4732, 27942, 924, 4732, 1511, 8443, 257, 305, 864, 322, 6847, 257, 3910, 2594, 994, 13872, 258, 1085, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 1599, 281, 7125, 519, 1085, 7275, 4671, 762, 454, 258, 1599, 267, 1287, 6968, 338, 585, 513, 1412, 10113, 262, 3095, 281, 952, 835, 568, 1336, 267, 7125, 3294, 1586, 454, 3698, 1085, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 263, 14766, 2187, 825, 1948, 1085, 7275, 602, 29250, 454, 825, 16814, 815, 22696, 704, 342, 5942, 31892, 7275, 263, 14766, 994, 825, 1948, 1820, 856, 519, 9115, 454, 825, 1948, 1820, 16814, 454, 825, 1948, 16163, 525, 519, 1535, 6447, 689, 519, 29250, 883, 606, 3693, 888, 825, 3597, 815, 561, 343, 6447, 11258, 269, 5228, 11415, 263, 6255, 6447, 994, 825, 1948, 1085, 7275, 519, 3349, 543, 4558, 621, 538, 1239, 2594, 1305, 909, 538, 3105, 1599, 454, 825, 1085, 7275, 4671, 762, 20172, 994, 825, 692, 258, 476, 5785, 14343, 734, 8894, 258, 5254, 11286, 28313, 281, 5581, 707, 4358, 15745, 910, 1287, 3097, 258, 1289, 513, 1599, 547, 1085, 7275, 621, 454, 258, 476, 5785, 14343, 734, 8894, 11034, 532, 318, 14766, 815, 1412, 10674, 2517, 4178, 16896, 329, 15736, 2593, 270, 15869, 322, 12973, 11258, 7055, 258, 29250, 27785, 9397, 909, 519, 29250, 676, 1315, 269, 29250, 27785, 269, 14766, 21860, 10905, 1079, 2712, 3149, 1927, 563, 2675, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 263, 11034, 532, 318, 14766, 994, 0, 258, 290, 2316, 476, 8099, 1477, 258, 300, 275, 295, 310, 272, 32707, 2700, 13488, 539, 1477, 258, 292, 7079, 623, 4883, 749, 1477, 258, 1556, 270, 866, 270, 1704, 5897, 14588, 539, 815, 476, 3583, 5897, 5503, 815, 476, 277, 5897, 5503, 10521, 815, 476, 1015, 5897, 5503, 16248, 815, 476, 1428, 5897, 323, 2700, 5475, 277, 815, 10581, 4433, 32497, 2608, 942, 10142, 323, 2700, 5475, 1015, 815, 10581, 4433, 32497, 2608, 942, 10521, 10142, 323, 2700, 5475, 1428, 815, 10581, 4433, 32497, 2608, 942, 16248, 3418, 5897, 2745, 18011, 288, 1286, 568, 10707, 693, 476, 3583, 5195, 829, 5662, 269, 18224, 519, 1739, 281, 262, 10142, 2745, 263, 1412, 291, 2700, 538, 476, 277, 3108, 281, 3299, 10581, 5560, 2700, 5475, 277, 17903, 2745, 263, 1412, 291, 2700, 538, 476, 1015, 3108, 281, 3299, 10581, 5560, 2700, 5475, 1015, 17903, 2745, 263, 1412, 291, 2700, 538, 476, 1428, 3108, 281, 22207, 10581, 5560, 2700, 5475, 1428, 264, 10142, 0, 454, 258, 3070, 585, 519, 12928, 2355, 871, 1966, 912, 258, 4179, 2517, 523, 25769, 3820, 28293, 270, 298, 333, 2355, 871, 318, 2889, 12378, 454, 16482, 258, 1505, 281, 3375, 3529, 538, 4999, 609, 19147, 543, 1230, 20960, 454, 16482, 258, 630, 290, 264, 476, 1708, 272, 7671, 670, 1993, 10458, 2999, 325, 17213, 19544, 1993, 10458, 287, 1030, 14833, 19709, 11417, 258, 1234, 548, 1078, 896, 717, 26214, 5398, 17821, 476, 273, 269, 271, 692, 5228, 1726, 523, 1712, 1104, 30741, 692, 3698, 1628, 21698, 3799, 13246, 267, 2139, 22129, 267, 2698, 267, 3105, 11966, 2187, 825, 3529, 815, 11713, 825, 6843, 3674, 11749, 573, 815, 6936, 692, 825, 1948, 1820, 3355, 4567, 454, 825, 1297, 8170, 2005, 2114, 815, 7003, 3799, 13246, 994, 825, 1820, 2891, 19515, 825, 1820, 2891, 11133, 1499, 281, 14307, 2338, 994, 825, 1820, 2891, 20412, 908, 519, 2009, 10659, 281, 585, 513, 5021, 4390, 540, 4939, 328, 257, 4939, 2139, 22129, 2020, 825, 952, 630, 15893, 8170, 2005, 2114, 2652, 476, 271, 2187, 1038, 1820, 2891, 12921, 6235, 8900, 1592, 540, 2338, 5602, 1038, 6843, 815, 11713, 825, 8640, 630, 15893, 8170, 2005, 2114, 2652, 476, 272, 2187, 1038, 1871, 815, 2338, 314, 271, 6540, 1038, 1948, 973, 531, 1529, 622, 2139, 543, 1031, 2230, 454, 1038, 952, 630, 19989, 22129, 13843, 1871, 2187, 2018, 2139, 22129, 815, 2139, 22129, 910, 1871, 454, 2018, 2698, 815, 2698, 1341, 1871, 454, 1038, 3116, 912, 2018, 1948, 519, 2838, 2230, 568, 1932, 1507, 454, 2018, 6843, 3674, 11749, 573, 815, 8771, 692, 1038, 1948, 20006, 513, 1007, 6843, 454, 1038, 6843, 815, 30741, 263, 7407, 267, 2139, 22129, 267, 2698, 2020, 1038, 1820, 2891, 611, 4765, 1007, 6843, 24333, 1871, 994, 1038, 952, 630, 27161, 3674, 11749, 573, 2652, 8771, 2187, 2018, 1820, 2891, 27161, 568, 23380, 5602, 2018, 6843, 15630, 1103, 20777, 4590, 1038, 3116, 912, 2018, 6843, 15630, 11749, 573, 10797, 1038, 1820, 2891, 19989, 2230, 2451, 281, 4939, 328, 257, 4939, 2139, 22129, 994, 1038, 1820, 2891, 11898, 538, 946, 24333, 2698, 2020, 825, 3116, 912, 1038, 1948, 5173, 519, 544, 1342, 23057, 6221, 454, 1038, 6843, 303, 3789, 815, 703, 28840, 8170, 2005, 2114, 270, 273, 994, 1038, 1871, 815, 2338, 19559, 1712, 303, 3789, 6540, 1038, 1948, 973, 531, 1529, 622, 2139, 543, 1031, 2230, 454, 1038, 952, 630, 19989, 22129, 13843, 1871, 2187, 2018, 2139, 22129, 815, 2139, 22129, 910, 1871, 454, 2018, 2698, 815, 2698, 1341, 1871, 454, 1038, 3116, 912, 2018, 1948, 519, 2838, 2230, 568, 1932, 1507, 454, 2018, 6843, 3674, 11749, 573, 815, 8771, 692, 1038, 1948, 20006, 713, 6843, 607, 513, 1007, 6843, 454, 1038, 6843, 815, 30741, 263, 7407, 267, 2139, 22129, 267, 2698, 2020, 1038, 1820, 2891, 611, 4765, 1007, 6843, 24333, 1871, 994, 1038, 952, 630, 27161, 3674, 11749, 573, 2652, 8771, 2187, 2018, 1820, 2891, 27161, 568, 23380, 5602, 2018, 6843, 15630, 1103, 20777, 4590, 1038, 3116, 912, 2018, 6843, 15630, 11749, 573, 10797, 1038, 1820, 2891, 19989, 2230, 2451, 281, 4939, 328, 257, 4939, 2139, 22129, 994, 1038, 1820, 2891, 11898, 538, 946, 24333, 2698, 2020, 1038, 1948, 5173, 5705, 872, 585, 519, 2338, 2451, 540, 519, 6843, 1871, 454, 1038, 2451, 8138, 29728, 815, 1628, 21698, 3799, 13246, 314, 271, 281, 27161, 303, 3789, 3910, 2139, 22129, 267, 2698, 267, 6843, 994, 1038, 952, 630, 6352, 263, 3847, 8138, 29728, 15892, 2018, 1101, 11966, 815, 2451, 8138, 29728, 314, 271, 2639, 2018, 952, 568, 27349, 6600, 1009, 11966, 267, 30741, 2187, 3546, 952, 630, 14140, 11966, 18994, 1103, 20777, 11966, 3890, 2187, 7386, 1948, 23380, 9136, 4866, 547, 519, 1318, 2427, 454, 7386, 6843, 15630, 14738, 263, 3847, 8138, 29728, 994, 3546, 3116, 912, 7386, 1948, 4570, 9136, 4866, 547, 519, 2451, 2427, 454, 7386, 6843, 15630, 29381, 263, 3847, 8138, 29728, 2020, 1038, 1948, 5173, 5705, 872, 585, 519, 2338, 1318, 540, 519, 6843, 1871, 454, 1038, 952, 630, 27161, 303, 3789, 2999, 1297, 8170, 2005, 2114, 2187, 2018, 1318, 8138, 29728, 815, 1628, 21698, 3799, 13246, 19559, 1712, 303, 3789, 266, 272, 281, 3910, 2139, 22129, 267, 2698, 267, 6843, 994, 1038, 3116, 912, 2018, 1318, 8138, 29728, 815, 11713, 1038, 952, 630, 6352, 263, 2431, 8138, 29728, 15892, 2018, 1101, 11966, 815, 1318, 8138, 29728, 314, 271, 2639, 2018, 952, 568, 27349, 6600, 1009, 11966, 267, 30741, 2187, 3546, 952, 630, 14140, 11966, 18994, 1103, 20777, 11966, 3890, 2187, 7386, 1948, 23380, 9136, 4866, 547, 519, 1318, 2427, 454, 7386, 6843, 15630, 14738, 263, 2431, 8138, 29728, 994, 3546, 3116, 912, 7386, 1948, 4570, 9136, 4866, 547, 519, 2451, 2427, 454, 7386, 6843, 15630, 29381, 263, 2431, 8138, 29728, 2020, 825, 1948, 1039, 519, 9241, 3710, 6843, 547, 519, 3529, 454, 825, 3529, 6910, 27316, 2020, 825, 1820, 6025, 872, 994, 825, 2132, 3529, 692, 3698, 1820, 21698, 27316, 2187, 825, 1267, 815, 11713, 825, 952, 6843, 568, 7183, 912, 1038, 1820, 2891, 24105, 6843, 5602, 1038, 2132, 7183, 692, 825, 952, 630, 6943, 27316, 264, 568, 1592, 2187, 1038, 1820, 2891, 4289, 5602, 1038, 585, 1016, 11966, 538, 6843, 912, 2018, 1267, 815, 1820, 21698, 4433, 889, 11966, 2020, 825, 952, 630, 529, 27349, 27316, 267, 30741, 15892, 1038, 1871, 815, 6843, 10947, 10574, 4590, 1038, 1820, 2891, 27161, 24333, 1871, 994, 1038, 952, 711, 6843, 18994, 1103, 20777, 11966, 10031, 2018, 1267, 6910, 263, 7407, 2020, 1038, 2451, 8138, 29728, 815, 6843, 10947, 29381, 4590, 1038, 952, 2451, 8138, 29728, 568, 711, 7183, 912, 2018, 1820, 2891, 3847, 5705, 872, 540, 4939, 328, 630, 11034, 17983, 4939, 1871, 994, 2018, 1267, 6910, 263, 2745, 21698, 263, 3847, 8138, 29728, 4917, 2018, 1820, 2891, 3847, 5705, 872, 540, 4939, 328, 630, 754, 17983, 476, 4939, 1871, 2020, 1038, 1318, 8138, 29728, 815, 6843, 10947, 14738, 4590, 1038, 952, 1318, 8138, 29728, 568, 711, 7183, 912, 2018, 1820, 2891, 2431, 5705, 872, 540, 4939, 328, 630, 11034, 17983, 476, 4939, 1871, 994, 2018, 1267, 6910, 263, 2745, 21698, 263, 2431, 8138, 29728, 4917, 2018, 1820, 2891, 2431, 5705, 872, 540, 4939, 328, 630, 754, 17983, 4939, 1871, 2020, 825, 2132, 1267, 692, 3698, 24609, 8266, 16597, 2187, 825, 1948, 12055, 908, 936, 519, 1239, 454, 825, 585, 3693, 538, 1239, 912, 1038, 1948, 10992, 585, 1592, 454, 1038, 952, 1826, 16216, 2211, 264, 2652, 1592, 912, 2018, 1948, 10912, 519, 1482, 1599, 609, 1699, 3693, 607, 1007, 4661, 454, 2018, 24609, 8266, 16216, 2211, 994, 1038, 3116, 912, 2018, 6366, 8266, 6910, 16216, 2211, 994, 825, 2132, 692, 258, 5581, 5021, 4390, 540, 519, 9126, 454, 10946, 3065, 22479, 13369, 815, 476, 1428, 692, 258, 5581, 519, 2597, 540, 519, 2582, 3688, 454, 11133, 1499, 815, 1496, 276, 267, 476, 1321, 267, 476, 274, 267, 476, 275, 267, 476, 2918, 267, 476, 279, 267, 476, 1724, 267, 476, 272, 267, 476, 278, 267, 476, 1556, 267, 476, 3451, 267, 476, 1015, 6540, 258, 4990, 2338, 538, 26799, 1931, 454, 11133, 1499, 31699, 4590, 2745, 2891, 338, 9285, 2338, 281, 14307, 2338, 2020, 258, 4894, 2338, 602, 9765, 519, 5021, 4390, 540, 519, 9126, 454, 1721, 2990, 538, 2039, 12759, 3799, 13246, 15892, 825, 952, 630, 11133, 1499, 314, 6570, 316, 3436, 5021, 22479, 13369, 2187, 1038, 2338, 815, 2338, 314, 271, 281, 6570, 2639, 1038, 2736, 692, 2745, 2891, 30236, 539, 1871, 1305, 24333, 2338, 2020, 258, 5581, 2698, 454, 20135, 815, 476, 271, 692, 258, 5173, 3529, 454, 29728, 815, 1628, 21698, 3799, 13246, 267, 5021, 22479, 13369, 267, 2698, 267, 7183, 2020, 2745, 2891, 19515, 14310, 815, 1820, 21698, 6025, 872, 2020, 258, 24609, 519, 3977, 630, 333, 6479, 1592, 994, 29788, 8266, 815, 11713, 29788, 1084, 8266, 31114, 994, 2745, 2891, 19515, 2745, 2891, 14310, 630, 821, 2009, 3070, 2567, 2580, 6366, 8266, 994, 0, 18411, 1326, 20189, 1662, 4590, 734, 285 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 2020, 825, 1219, 909, 318, 663, 18425, 4311, 267, 11064, 2187, 1038, 5727, 3328, 540, 31680, 2628, 26160, 8173, 1038, 2628, 26160, 815, 27883, 306, 3436, 11064, 264, 2608, 3193, 22829, 910, 1582, 21993, 267, 476, 271, 264, 585, 590, 538, 1582, 4877, 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 994, 1038, 2132, 2628, 4752, 2608, 1163, 8987, 1345, 25331, 2608, 1582, 6745, 2020, 825, 1219, 1524, 318, 663, 318, 719, 4311, 267, 11064, 2187, 1038, 5727, 3328, 540, 31680, 2628, 26160, 8173, 1038, 2628, 26160, 815, 27883, 306, 3436, 11064, 264, 2608, 3193, 4311, 21993, 910, 590, 267, 476, 271, 264, 585, 590, 538, 1582, 4877, 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 994, 1038, 2132, 2628, 4752, 2608, 1163, 8987, 1345, 25331, 2608, 1582, 6745, 2020, 825, 1219, 1524, 318, 663, 18425, 4311, 267, 11064, 2187, 1038, 5727, 3328, 540, 31680, 2628, 26160, 8173, 1038, 2628, 26160, 815, 27883, 306, 2999, 11064, 264, 2608, 3193, 4311, 21993, 910, 590, 267, 476, 271, 264, 585, 590, 538, 1582, 4877, 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 994, 1038, 2132, 2628, 4752, 2608, 1163, 8987, 1345, 25331, 2608, 1582, 6745, 264, 0, 258, 9377, 514, 785, 334, 579, 2742, 1187, 23843, 8585, 613, 454, 3698, 19467, 5416, 28872, 267, 336, 267, 325, 2187, 825, 1948, 572, 329, 600, 562, 272, 552, 562, 273, 1016, 525, 11985, 9809, 657, 632, 513, 454, 825, 562, 272, 284, 336, 1790, 266, 272, 454, 825, 562, 273, 284, 325, 268, 336, 454, 825, 561, 17342, 271, 30297, 333, 272, 454, 825, 678, 17342, 271, 30297, 333, 273, 692, 825, 585, 1775, 538, 2039, 630, 271, 267, 562, 272, 2187, 1038, 561, 5157, 24557, 320, 314, 335, 266, 328, 2639, 825, 585, 795, 538, 2039, 630, 271, 19885, 273, 2187, 1038, 678, 14728, 24557, 320, 314, 336, 266, 272, 266, 329, 2639, 22322, 825, 544, 284, 271, 454, 825, 562, 284, 271, 454, 825, 737, 284, 335, 454, 825, 454, 825, 1247, 544, 283, 562, 272, 543, 562, 283, 562, 273, 912, 11434, 952, 561, 314, 332, 316, 27045, 337, 19559, 14158, 2018, 513, 25208, 24557, 331, 314, 332, 2639, 2018, 544, 284, 332, 266, 272, 4449, 17264, 3097, 4449, 454, 11434, 3116, 912, 2018, 513, 25208, 24557, 337, 19559, 2639, 2018, 562, 284, 333, 266, 272, 454, 27030, 11434, 737, 284, 330, 266, 272, 454, 825, 454, 825, 1247, 544, 283, 333, 272, 912, 1038, 513, 25208, 24557, 331, 314, 332, 2639, 1038, 544, 284, 332, 266, 272, 454, 1038, 737, 284, 330, 266, 272, 454, 825, 1247, 562, 283, 333, 273, 912, 1038, 513, 25208, 24557, 337, 19559, 2639, 1038, 562, 284, 333, 266, 272, 454, 1038, 737, 284, 330, 266, 272, 454, 825, 454, 825, 2132, 513, 692, 258, 9377, 514, 785, 334, 513, 1187, 23843, 16571, 10216, 12388, 525, 677, 454, 3698, 12388, 525, 677, 5416, 28872, 267, 325, 2567, 3097, 825, 952, 533, 2999, 535, 281, 3097, 22322, 1038, 1948, 4347, 514, 785, 334, 522, 834, 339, 16120, 14833, 257, 13121, 1016, 557, 1729, 637, 454, 1038, 544, 815, 630, 335, 23444, 325, 268, 272, 4297, 2260, 273, 454, 22322, 1038, 1948, 661, 1598, 583, 3120, 16571, 10216, 16948, 1016, 323, 1204, 597, 15259, 1016, 525, 11985, 9809, 657, 693, 2946, 6446, 454, 453, 258, 522, 14585, 571, 533, 27045, 325, 454, 1038, 12388, 525, 677, 5416, 267, 533, 267, 544, 264, 3097, 1038, 12388, 525, 677, 5416, 267, 544, 266, 272, 267, 535, 264, 3097, 1038, 19467, 5416, 267, 533, 267, 544, 267, 535, 994, 825, 2132, 513, 692, 258, 700, 754, 334, 19804, 818, 638, 16343, 1547, 339, 868, 900, 5124, 910, 818, 638, 16343, 1100, 454, 258, 6996, 15879, 25680, 339, 6759, 339, 1470, 798, 1982, 320, 692, 331, 17342, 316, 1948, 3616, 4673, 23843, 632, 19804, 17022, 528, 593, 1372, 1583, 14244, 6186, 1794, 523, 15606, 15259, 546, 15606, 632, 682, 527, 3120, 780, 258, 13070, 7702, 267, 1583, 5451, 561, 18480, 522, 818, 638, 16343, 13274, 3873, 11188, 13274, 3873, 552, 524, 3385, 13274, 3873, 1583, 5451, 6186, 1794, 523, 3385, 454, 258, 3534, 4717, 523, 3385, 834, 328, 257, 798, 17022, 528, 780, 325, 284, 13449, 2891, 322, 719, 532, 17902, 2580, 834, 337, 5602, 1721, 1899, 538, 535, 912, 11434, 585, 562, 538, 1899, 21858, 3488, 1412, 2187, 19930, 561, 6910, 3799, 994, 2745, 2891, 309, 564, 528, 561, 18480, 552, 964, 867, 523, 5964, 8442, 2018, 454, 2745, 10857, 2020, 258, 9377, 514, 790, 21573, 522, 8884, 334, 632, 3921, 6511, 23843, 2698, 798, 17022, 528, 561, 267, 522, 340, 694, 10937, 267, 16948, 533, 284, 271, 552, 678, 284, 323, 6036, 14244, 798, 17022, 528, 561, 8528, 335, 284, 271, 692, 337, 284, 6352, 10857, 9984, 272, 692, 341, 284, 1067, 2471, 677, 10857, 267, 271, 267, 6352, 10857, 9984, 272, 994, 2745, 4590, 2745, 2891, 309, 564, 528, 3921, 523, 5964, 10652, 334, 12388, 525, 677, 281, 5602, 2745, 17635, 2020, 7531, 0, 5814, 2979, 454, 5814, 1770, 11687, 454, 5228, 6824, 1104, 26271, 7531, 5035, 26271, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 14818, 519, 2409, 543, 4020, 528, 540, 519, 26271, 1362, 269, 29185, 825, 1219, 1449, 23919, 4311, 2187, 1038, 535, 815, 26271, 263, 274, 267, 910, 272, 994, 1038, 1582, 27863, 2891, 268, 274, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 271, 267, 476, 276, 994, 1038, 1582, 27863, 2891, 271, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 2568, 267, 476, 3445, 994, 1038, 1582, 27863, 2891, 273, 270, 274, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 5611, 271, 267, 476, 2568, 994, 1038, 1582, 27863, 2891, 1839, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 5611, 271, 267, 476, 3445, 994, 1038, 1582, 27863, 2891, 2004, 270, 274, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 8987, 3199, 267, 476, 736, 994, 1038, 1582, 27863, 2891, 268, 275, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 3607, 267, 910, 2568, 994, 1038, 1582, 27863, 2891, 268, 274, 270, 276, 2580, 535, 14857, 1598, 1029, 15405, 1038, 1948, 20472, 528, 1058, 1683, 9949, 14009, 815, 476, 272, 454, 1038, 535, 815, 26271, 263, 4200, 994, 1038, 1582, 27863, 2891, 4200, 2580, 535, 14857, 1598, 1029, 31156, 825, 1948, 570, 7495, 302, 3503, 4255, 585, 6449, 8181, 1029, 267, 6449, 18091, 1029, 267, 1341, 267, 2608, 563, 825, 1948, 3371, 568, 606, 1383, 267, 855, 596, 1590, 1039, 811, 1449, 2665, 269, 22322, 825, 1948, 634, 1449, 3340, 602, 707, 6449, 18091, 1029, 568, 2953, 780, 825, 1219, 1449, 318, 5417, 4311, 2187, 1038, 1948, 476, 274, 270, 275, 815, 476, 273, 270, 274, 1341, 476, 272, 270, 1321, 454, 1038, 1582, 27863, 263, 293, 3555, 263, 274, 267, 275, 1070, 26271, 263, 272, 267, 1321, 264, 1341, 26271, 263, 273, 267, 274, 4917, 1038, 1948, 1205, 2898, 1297, 1310, 1840, 454, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 1070, 26271, 263, 272, 267, 273, 264, 1341, 26271, 263, 272, 267, 273, 4917, 1038, 1948, 1205, 6824, 1310, 1840, 609, 2898, 1297, 454, 1038, 1582, 27863, 263, 293, 3555, 263, 280, 267, 275, 1070, 26271, 263, 273, 264, 1341, 26271, 263, 272, 267, 275, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 271, 1070, 26271, 263, 273, 264, 1341, 26271, 263, 272, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 272, 1070, 26271, 263, 273, 267, 272, 264, 1341, 26271, 263, 271, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 272, 1070, 26271, 263, 271, 267, 271, 264, 1341, 26271, 263, 273, 267, 272, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 271, 1070, 26271, 263, 272, 267, 272, 264, 1341, 26271, 263, 273, 267, 271, 11723, 1038, 609, 1582, 20596, 26244, 2478, 263, 13911, 13286, 2187, 2018, 26271, 263, 272, 267, 272, 264, 1341, 834, 310, 302, 9816, 5016, 825, 1219, 1449, 8548, 592, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 274, 1070, 26271, 263, 272, 12684, 293, 3555, 263, 273, 267, 274, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 280, 1070, 26271, 263, 272, 267, 274, 12684, 26271, 263, 273, 267, 274, 4917, 1038, 609, 1582, 20596, 26244, 2478, 263, 13911, 13286, 2187, 19930, 26271, 263, 272, 267, 476, 275, 264, 2608, 1412, 272, 7055, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 271, 1070, 26271, 263, 272, 267, 271, 12684, 26271, 263, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 8987, 272, 267, 271, 1070, 26271, 8987, 272, 267, 274, 12684, 26271, 263, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 8987, 272, 267, 271, 1070, 26271, 8987, 272, 267, 271, 12684, 26271, 263, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 8987, 272, 267, 271, 1070, 26271, 263, 272, 267, 271, 12684, 26271, 8987, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 271, 267, 271, 1070, 26271, 263, 271, 267, 271, 12684, 293, 3555, 263, 272, 267, 476, 273, 11723, 825, 1219, 1449, 318, 18091, 4311, 2187, 1038, 535, 815, 26271, 263, 272, 267, 273, 994, 1038, 575, 815, 26271, 8987, 2412, 16427, 3199, 994, 1038, 554, 815, 26271, 263, 1911, 876, 267, 1220, 4905, 264, 1948, 711, 3833, 476, 272, 270, 273, 454, 1038, 1102, 815, 26271, 263, 272, 267, 476, 271, 994, 1038, 562, 318, 8882, 318, 821, 815, 26271, 8987, 272, 267, 476, 271, 994, 1038, 562, 318, 8882, 4671, 6851, 815, 26271, 8987, 6344, 9083, 22145, 273, 267, 476, 271, 994, 1038, 1582, 20596, 12148, 6600, 2652, 575, 994, 1038, 1582, 20596, 12148, 6600, 14857, 18091, 9191, 326, 4297, 476, 1948, 1482, 3364, 454, 1038, 1582, 20596, 16178, 6600, 2652, 554, 994, 1038, 1582, 20596, 16178, 6600, 14857, 18091, 9191, 327, 4917, 1038, 1948, 307, 7495, 302, 2328, 811, 4255, 1210, 824, 2665, 563, 1038, 1948, 6333, 2027, 2418, 899, 476, 271, 267, 476, 272, 270, 271, 267, 910, 272, 270, 271, 454, 1038, 1948, 910, 272, 270, 271, 2652, 910, 6344, 9083, 22145, 273, 270, 271, 2258, 318, 8882, 6541, 2652, 2258, 318, 8882, 6541, 454, 1038, 1582, 20596, 12148, 3799, 318, 8882, 318, 821, 2652, 562, 318, 8882, 4671, 6851, 994, 1038, 1948, 2258, 318, 8882, 6541, 11203, 20581, 454, 1038, 1582, 20596, 16178, 3799, 318, 8882, 318, 821, 2652, 1102, 994, 1038, 1948, 20581, 11203, 3339, 6824, 454, 1038, 1582, 20596, 16178, 263, 8882, 2652, 535, 2020, 825, 1219, 1449, 5334, 889, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 275, 1070, 26271, 263, 273, 267, 476, 275, 9984, 293, 3555, 263, 272, 267, 476, 275, 4917, 1038, 609, 1582, 20596, 26244, 2478, 263, 13911, 13286, 2187, 2018, 26271, 263, 272, 267, 476, 275, 264, 910, 476, 272, 22562, 825, 1219, 1449, 14682, 339, 4311, 2187, 1038, 1582, 20596, 12148, 263, 293, 3555, 263, 272, 264, 3436, 26271, 263, 272, 267, 273, 4917, 1038, 1582, 20596, 16178, 263, 293, 3555, 263, 272, 264, 3436, 26271, 263, 272, 4917, 8931, 825, 1219, 1449, 318, 10864, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 476, 273, 1070, 910, 293, 3555, 8987, 272, 267, 476, 273, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 910, 273, 1070, 910, 293, 3555, 263, 272, 267, 476, 273, 11723, 825, 1219, 1449, 318, 8882, 318, 10864, 318, 8882, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 476, 271, 1070, 26271, 263, 272, 267, 476, 271, 11924, 26271, 263, 272, 267, 476, 273, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 476, 271, 1070, 26271, 263, 272, 267, 476, 271, 12684, 26271, 263, 272, 267, 476, 273, 11723, 825, 1219, 1449, 23919, 318, 8882, 4311, 2187, 1038, 1582, 27863, 2891, 17463, 20581, 2580, 630, 293, 3555, 8987, 272, 267, 476, 271, 1040, 1029, 1598, 1029, 3890, 4917, 1038, 1582, 27863, 2891, 8882, 6541, 2580, 630, 293, 3555, 263, 272, 267, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 674, 294, 318, 306, 318, 22333, 318, 307, 273, 3436, 674, 294, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 674, 307, 318, 306, 318, 22333, 318, 307, 272, 3436, 674, 307, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 8640, 674, 307, 318, 306, 318, 22333, 318, 307, 273, 3436, 674, 307, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 952, 6751, 274, 318, 306, 318, 22333, 318, 307, 272, 3436, 6751, 274, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 8640, 6751, 274, 318, 306, 318, 22333, 318, 307, 273, 3436, 6751, 274, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 952, 589, 4306, 318, 306, 318, 22333, 318, 307, 272, 3436, 589, 4306, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 8640, 589, 4306, 318, 306, 318, 22333, 318, 307, 273, 3436, 589, 4306, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 952, 11555, 289, 318, 306, 318, 22333, 318, 307, 272, 3436, 11555, 289, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 11555, 289, 318, 306, 318, 22333, 318, 307, 273, 3436, 11555, 289, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 5254, 299, 318, 306, 318, 22333, 318, 307, 272, 3436, 5254, 299, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 5254, 299, 318, 306, 318, 22333, 318, 307, 273, 3436, 5254, 299, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 19154, 298, 318, 306, 318, 22333, 318, 307, 272, 3436, 19154, 298, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 19154, 298, 318, 306, 318, 22333, 318, 307, 273, 3436, 19154, 298, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 5897, 825, 1820, 2891, 22333, 14744, 825, 1820, 6025, 272, 318, 16651, 9557, 3418, 825, 1820, 6025, 273, 318, 16651, 9557, 10142, 825, 5727, 1477, 1038, 19766, 22664, 5254, 2752, 16249, 590, 9816, 302, 16249, 30316, 2752, 9169, 11123, 645, 30862, 23140, 4456, 306, 28313, 1477, 825, 5727, 1477, 825, 1820, 263, 1477, 1038, 27719, 333, 21008, 532, 18786, 1744, 17415, 2871, 1841, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 5635, 307, 311, 307, 6910, 2891, 21008, 532, 18786, 1744, 17415, 2871, 1841, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 1948, 12243, 476, 272, 4358, 590, 294, 28135, 1477, 825, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 2420, 15947, 825, 674, 294, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 278, 15947, 825, 674, 307, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 1724, 15947, 825, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 279, 316, 476, 1948, 6751, 274, 1797, 476, 274, 15014, 524, 15120, 9226, 3085, 1405, 899, 950, 596, 1376, 513, 4756, 2012, 609, 703, 32473, 3418, 825, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 866, 15947, 825, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 1240, 15947, 825, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 736, 15947, 825, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 2641, 316, 5897, 825, 1948, 12243, 476, 273, 4358, 590, 294, 28135, 1477, 825, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 2420, 15947, 825, 674, 294, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 278, 15947, 825, 674, 307, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1724, 15947, 825, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 279, 316, 476, 1948, 6751, 274, 1797, 476, 274, 15014, 524, 15120, 9226, 3085, 1405, 899, 950, 596, 1376, 513, 4756, 2012, 609, 703, 32473, 3418, 825, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 866, 15947, 825, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1240, 15947, 825, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 736, 15947, 825, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 2641, 316, 5897, 825, 952, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 8640, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 952, 674, 294, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 674, 294, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 674, 294, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 674, 294, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 674, 307, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 674, 307, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 674, 307, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 674, 307, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 8640, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 952, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 5897, 825, 1820, 2891, 306, 294, 14744, 825, 1820, 6025, 272, 318, 16651, 9557, 3418, 825, 1820, 6025, 273, 318, 16651, 9557, 10142, 825, 5727, 1477, 1038, 19766, 22664, 5254, 2752, 16249, 15382, 17920, 11123, 310, 2752, 9169, 11123, 645, 30862, 23140, 4456, 306, 28313, 1477, 825, 5727, 1477, 825, 1820, 263, 1477, 1038, 27719, 333, 21008, 532, 18786, 9540, 1280, 2072, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 5635, 307, 311, 307, 6910, 263, 1477, 1038, 834, 21008, 532, 18786, 9540, 1280, 2072, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 1948, 12243, 476, 272, 4358, 24700, 28135, 1477, 825, 623, 22333, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 2420, 15947, 825, 674, 294, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 278, 15947, 825, 674, 307, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 1724, 15947, 825, 6751, 274, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 279, 316, 476, 1948, 6751, 274, 1797, 476, 274, 15014, 524, 15120, 9226, 3085, 1405, 899, 950, 596, 1376, 513, 4756, 2012, 609, 703, 32473, 3418, 825, 589, 4306, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 866, 15947, 825, 11555, 289, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1852, 815, 6936, 454, 825, 1247, 1852, 912, 1038, 2119, 912, 2018, 6460, 9272, 2891, 5228, 29389, 1040, 21639, 19572, 3403, 2891, 1729, 29389, 1040, 21639, 19572, 703, 9272, 2891, 1432, 568, 519, 2179, 540, 9304, 286, 315, 333, 257, 21875, 2018, 16718, 318, 32491, 815, 3403, 2891, 304, 547, 16718, 256, 4964, 13673, 9898, 547, 3136, 29389, 1040, 21639, 4590, 2018, 952, 16718, 318, 32491, 2652, 1412, 304, 12466, 3546, 1852, 815, 8771, 692, 1038, 4849, 6206, 13286, 912, 2018, 1820, 2891, 10501, 6275, 711, 1336, 256, 8347, 1586, 907, 23528 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4783, 540, 6705, 945, 1185, 28953, 547, 519, 2749, 547, 960, 269, 4322, 2188, 9192, 547, 2087, 2804, 1134, 1373, 540, 519, 1920, 267, 6318, 26038, 267, 2061, 14000, 28872, 668, 1774, 2069, 543, 8190, 8105, 2245, 563, 23991, 8105, 568, 12873, 538, 519, 3148, 609, 2073, 30545, 26038, 543, 513, 1732, 13473, 2146, 269, 1280, 1027, 2804, 9194, 568, 7494, 21022, 267, 6518, 2337, 3500, 519, 6771, 540, 7486, 25266, 883, 891, 2950, 269, 22716, 529, 593, 3114, 1863, 8105, 543, 556, 16396, 2337, 547, 11177, 5892, 28811, 2244, 543, 8992, 5726, 3646, 799, 538, 2490, 723, 1279, 2165, 2640, 547, 519, 2146, 269, 5516, 568, 3144, 547, 1202, 675, 602, 19401, 616, 5402, 5116, 865, 607, 547, 948, 547, 3970, 2666, 1216, 22930, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 20468, 827, 9561, 1379, 1282, 513, 7088, 610, 707, 6049, 12955, 28870, 998, 519, 1554, 269, 16319, 899, 2257, 5708, 267, 1318, 286, 1809, 621, 781, 1483, 267, 543, 789, 1289, 891, 6909, 6878, 834, 27273, 17238, 832, 6231, 3719, 7227, 267, 875, 1281, 713, 960, 286, 4270, 267, 1589, 827, 513, 5757, 13576, 19654, 269, 1403, 519, 5757, 5523, 568, 5347, 267, 519, 1216, 8928, 11884, 543, 3533, 269, 1717, 267, 952, 972, 616, 7725, 543, 27894, 2059, 519, 1259, 267, 930, 540, 519, 1216, 25815, 1524, 610, 1256, 13515, 15587, 1813, 547, 11508, 269, 901, 568, 2147, 547, 1018, 4523, 950, 5201, 7575, 998, 1034, 2326, 1107, 621, 10742, 4187, 543, 19380, 1648, 607, 3002, 780, 21841, 17238, 832, 267, 2705, 267, 723, 513, 2027, 8945, 909, 741, 19492, 1407, 269, 2311, 1360, 1970, 5210, 630, 17141, 2673, 547, 6207, 4642, 1070, 519, 8444, 3330, 873, 1376, 1969, 532, 8335, 267, 12180, 2933, 538, 971, 513, 1259, 602, 9211, 666, 23407, 1472, 1510, 1022, 12042, 8896, 269, 898, 781, 607, 952, 1346, 11315, 10007, 4012, 1227, 20374, 267, 3850, 519, 5757, 547, 2095, 796, 5793, 32152, 780, 3086, 267, 3314, 950, 594, 1767, 21367, 832, 991, 2731, 4411, 2175, 286, 17497, 267, 8236, 891, 5210, 3340, 5277, 9436, 610, 26775, 267, 799, 1522, 3280, 7543, 547, 3035, 3544, 513, 2978, 4259, 269, 1717, 267, 3744, 616, 2324, 2182, 547, 3605, 1007, 2010, 540, 21367, 832, 602, 1223, 7500, 693, 4055, 2837, 256, 5994, 2348, 12904, 8876, 1699, 2429, 707, 2777, 609, 3592, 1100, 2530, 540, 1648, 269, 30474, 3579, 267, 26001, 2496, 2026, 3173, 3136, 4974, 891, 2189, 2326, 267, 945, 6487, 1018, 824, 2247, 1532, 27172, 11580, 789, 949, 7866, 286, 9320, 835, 1554, 267, 649, 3513, 1294, 14884, 13735, 1657, 13475, 1210, 6419, 26550, 2787, 2029, 1759, 593, 21367, 2032, 269, 2107, 6148, 649, 3513, 1020, 4359, 2564, 9196, 3457, 610, 5488, 5904, 269, 634, 7399, 3100, 11995, 2439, 3383, 1985, 942, 2576, 19528, 21367, 832, 267, 596, 4465, 1405, 1175, 5873, 513, 11469, 1000, 3563, 282, 3079, 267, 596, 3513, 4605, 513, 9589, 1158, 1141, 5201, 8928, 24672, 267, 6679, 9885, 547, 9118, 10124, 269, 5901, 3695, 267, 1832, 15819, 267, 543, 1927, 267, 1577, 781, 12260, 519, 13655, 6456, 1369, 519, 14952, 748, 7706, 540, 2326, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4553, 1433, 5907, 3601, 540, 1164, 512, 322, 21367, 832, 519, 3339, 543, 14418, 568, 10703, 22133, 9937, 281, 1412, 711, 268, 1345, 282, 29717, 2659, 5133, 1572, 513, 5163, 602, 713, 4099, 1223, 27235, 581, 269, 634, 2359, 15244, 711, 1683, 267, 610, 10741, 2366, 1305, 269, 946, 3301, 610, 2068, 10665, 547, 946, 1018, 596, 7490, 14391, 908, 585, 563, 1504, 5907, 3601, 540, 1164, 512, 322, 21367, 832, 519, 3339, 543, 519, 21367, 532, 1533, 540, 2022, 12885, 3344, 28928, 543, 6896, 267, 799, 1797, 2228, 547, 11374, 18619, 538, 519, 12043, 269, 4107, 6923, 267, 5647, 3568, 513, 2707, 540, 519, 8231, 602, 6402, 23199, 21087, 1125, 1018, 519, 2450, 786, 543, 786, 2760, 581, 269, 6736, 713, 3903, 267, 1883, 1642, 574, 2787, 11269, 543, 561, 9704, 2161, 547, 3277, 21832, 23316, 2687, 11082, 610, 3029, 890, 9934, 9375, 10118, 540, 5163, 9375, 10118, 269, 1452, 23066, 15102, 616, 1455, 267, 7598, 547, 1439, 267, 543, 4935, 8307, 547, 31363, 585, 1620, 2665, 563, 2304, 1433, 540, 1582, 8410, 22633, 476, 274, 5937, 16105, 602, 10522, 593, 2990, 568, 896, 560, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 8748, 1158, 540, 3059, 14676, 256, 1403, 596, 2648, 2542, 2984, 2407, 540, 2962, 267, 7045, 267, 9644, 267, 543, 12416, 267, 1287, 596, 3513, 9090, 2972, 11362, 883, 519, 10477, 3817, 540, 3059, 14676, 269, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1079, 2442, 5867, 602, 1450, 596, 547, 3605, 543, 1224, 5215, 540, 13371, 2835, 2228, 910, 1290, 328, 311, 1108, 543, 513, 1390, 4244, 2147, 547, 631, 18553, 20837, 269, 1924, 10544, 707, 16979, 610, 16335, 267, 543, 1577, 781, 1205, 3323, 2439, 1262, 1432, 568, 1290, 328, 311, 1108, 15140, 5331, 2348, 513, 5691, 5399, 4904, 609, 7366, 540, 5215, 540, 13371, 2835, 689, 1585, 11964, 543, 21101, 5001, 269, 2334, 781, 1018, 1290, 328, 311, 1108, 3091, 256, 898, 781, 513, 3593, 7888, 267, 6531, 2861, 3028, 602, 13071, 596, 19584, 267, 6718, 267, 543, 1224, 3059, 14676, 20471, 267, 9170, 269, 2353, 596, 991, 568, 606, 4950, 4276, 543, 513, 3926, 971, 607, 513, 2780, 267, 16979, 267, 610, 16335, 269, 8528, 3719, 1946, 3442, 1290, 328, 311, 1108, 936, 2757, 1957, 14676, 286, 4270, 267, 972, 616, 1896, 5383, 1384, 272, 269, 2878, 5319, 1444, 958, 7874, 5093, 4595, 3388, 568, 3059, 267, 1100, 4054, 616, 2759, 1524, 547, 3132, 1957, 269, 901, 1797, 1447, 3653, 543, 7864, 8511, 9362, 19501, 1282, 2504, 543, 6283, 563, 273, 269, 2878, 22129, 9494, 5093, 7913, 14676, 1491, 909, 8766, 2230, 3379, 547, 2168, 3283, 269, 5994, 875, 1082, 10833, 596, 1131, 991, 547, 4558, 707, 3003, 4015, 952, 789, 941, 4890, 2835, 2336, 274, 269, 2878, 16966, 2225, 5093, 2060, 1175, 513, 1906, 30390, 610, 512, 2355, 267, 596, 666, 14678, 1569, 1022, 3390, 538, 707, 3059, 5399, 269, 3143, 811, 10478, 998, 588, 2931, 540, 2025, 2152, 610, 7996, 585, 1007, 13847, 547, 12446, 693, 8637, 563, 275, 269, 2878, 288, 742, 867, 1464, 5093, 3509, 3059, 14676, 1942, 1447, 982, 741, 1820, 13413, 267, 1818, 873, 606, 5140, 3903, 585, 6578, 23655, 3988, 269, 9578, 267, 2094, 972, 616, 1100, 11288, 12375, 610, 9204, 3773, 547, 1142, 6718, 267, 596, 4688, 1256, 811, 2724, 538, 519, 1279, 2196, 563, 276, 269, 2878, 2750, 5477, 1543, 5093, 2368, 21101, 5305, 12600, 2984, 1152, 2139, 25274, 267, 4758, 596, 2189, 2833, 28998, 11992, 780, 3086, 602, 649, 917, 1018, 1290, 328, 311, 1108, 568, 543, 930, 2640, 1577, 781, 2911, 827, 4466, 1390, 14676, 547, 1224, 269, 2290, 1259, 547, 798, 713, 568, 676, 3695, 1114, 11964, 1759, 593, 707, 4690, 269, 3657, 596, 513, 10178, 540, 27568, 286, 3973, 2638, 856, 17008, 689, 31733, 543, 9823, 22383, 256, 2776, 2536, 30682, 30816, 2984, 286, 15750, 2572, 899, 631, 18553, 20837, 723, 3893, 596, 4988, 256, 15439, 2824, 519, 1826, 540, 1650, 596, 1616, 267, 543, 1376, 19855, 998, 519, 5318, 5542, 2139, 780, 5629, 596, 1265, 1945, 4277, 267, 11449, 543, 2542, 621, 568, 2241, 1384, 272, 269, 8437, 834, 24246, 3767, 257, 630, 528, 6697, 264, 950, 596, 1294, 513, 13371, 1433, 596, 6999, 547, 1378, 563, 273, 269, 7427, 519, 12987, 547, 2347, 707, 8569, 18172, 1210, 513, 5491, 3556, 610, 9796, 21595, 2272, 563, 274, 269, 4495, 12349, 267, 1930, 519, 1290, 328, 311, 1108, 813, 630, 604, 1210, 513, 5985, 3926, 264, 610, 2845, 538, 3842, 741, 3896, 563, 275, 269, 13782, 622, 547, 707, 834, 299, 3869, 257, 3296, 543, 12398, 519, 9241, 9715, 13371, 1433, 563, 276, 269, 24135, 270, 28781, 593, 519, 3382, 3239, 547, 2253, 2542, 2439, 2026, 5018, 4505, 267, 972, 616, 824, 3681, 16310, 1290, 328, 311, 1108, 585, 1346, 3168, 547, 14679, 3564, 13416, 21101, 269, 589, 2442, 4244, 1851, 30841, 12439, 568, 14295, 3019, 15434, 5414, 1107, 513, 3896, 6131, 547, 3246, 1863, 1569, 547, 5215, 540, 2296, 12261, 30841, 3126, 269, 5381, 547, 1290, 328, 311, 1108, 267, 3755, 666, 3362, 6330, 998, 6688, 267, 6882, 2164, 267, 543, 1224, 741, 29202, 2047, 1369, 741, 11422, 269, 1717, 267, 1832, 538, 2247, 602, 1247, 891, 4609, 2709, 13418, 543, 3099, 267, 789, 1522, 711, 2141, 1683, 3656, 1569, 547, 10677, 539, 1570, 269, 11408, 2327, 596, 2463, 15888, 262, 2924, 1354, 11981, 1022, 1543, 1336, 2228, 780, 1103, 3932, 267, 3059, 14676, 616, 606, 6909, 1259, 547, 23365, 3054, 538, 9159, 2984, 543, 7524, 12383, 269, 15107, 13257, 899, 1290, 328, 311, 1108, 543, 631, 18553, 20837, 8925, 1118, 621, 4443, 982, 2479, 1354, 547, 4685, 883, 713, 4241, 5420, 269, 1635, 1620, 875, 891, 2533, 960, 543, 6616, 1141, 547, 1265, 2298, 1543, 267, 596, 3513, 4166, 1831, 513, 19023, 3059, 13371, 5467, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 786, 1865, 519, 1655, 22600, 770, 3195, 543, 1290, 1460, 1108, 8925, 267, 30841, 6908, 543, 1141, 547, 1224, 631, 18553, 1318, 1631, 267, 3988, 631, 18553, 267, 543, 3988, 30841, 6908, 3284, 330, 269, 1323, 7357, 1863, 6531, 2861, 3059, 14676, 3135, 568, 1572, 1290, 328, 311, 1108, 269, 15692, 267, 25515, 267, 543, 519, 3896, 616, 782, 15095, 609, 621, 269, 1411, 949, 2263, 267, 4444, 267, 543, 1224, 14676, 2228, 1210, 713, 3896, 269, 13689, 593, 519, 5169, 540, 519, 9135, 596, 2972, 267, 621, 666, 4188, 707, 3406, 7375, 269, 1280, 2653, 1569, 267, 4647, 519, 5985, 813, 269, 3958, 267, 596, 666, 1413, 693, 7270, 899, 14295, 3019, 15434, 5414, 1934, 563, 2005, 568, 513, 9735, 3760, 585, 11655, 540, 13371, 2835, 269, 21894, 707, 4640, 267, 596, 949, 1224, 782, 540, 707, 5172, 2296, 25082, 30841, 14676, 593, 938, 3896, 269, 634, 3896, 568, 2808, 547, 581, 835, 540, 519, 1655, 7270, 899, 631, 18553, 1805, 3195, 1317, 540, 922, 2934, 563, 4467, 328, 311, 1108, 568, 267, 1510, 513, 8969, 267, 519, 6205, 538, 3059, 14676, 267, 5356, 6634, 540, 10643, 1169, 3018, 689, 519, 1034, 1713, 21101, 538, 519, 1158, 267, 538, 1840, 547, 519, 1655, 4830, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1849, 13831, 1646, 814, 7153, 607, 513, 2565, 4640, 585, 5009, 2804, 2208, 543, 28211, 538, 4683, 543, 6237, 2127, 269, 901, 1935, 3322, 23454, 4213, 267, 6080, 267, 610, 2533, 1369, 513, 1808, 10923, 1858, 267, 3850, 873, 547, 15407, 3838, 2200, 267, 1702, 267, 543, 5989, 547, 3986, 741, 2773, 543, 7607, 269, 901, 1576, 1770, 7710, 12440, 1646, 607, 513, 1907, 585, 1870, 543, 2804, 2208, 267, 6313, 922, 7811, 13210, 267, 4052, 3156, 267, 2591, 267, 543, 2104, 16548, 269, 1284, 2253, 676, 10747, 13421, 543, 7713, 875, 789, 3565, 547, 2199, 543, 3084, 11615, 269, 8921, 267, 649, 4983, 1114, 2010, 540, 13421, 543, 741, 2189, 4162, 269, 3973, 267, 649, 5490, 883, 519, 1523, 540, 968, 32474, 5121, 892, 543, 2263, 875, 789, 7520, 5698, 267, 5647, 267, 543, 1565, 1851, 12440, 5171, 269, 7053, 267, 649, 1865, 1585, 2994, 585, 3384, 543, 24569, 3811, 13421, 267, 5373, 2390, 1483, 8996, 1806, 543, 12170, 2963, 780, 9377, 1456, 1849, 31255, 543, 4256, 9483, 11957, 454, 288, 12440, 4016, 547, 513, 13664, 5834, 540, 10562, 3549, 543, 5238, 538, 513, 1880, 2361, 610, 2872, 630, 303, 7163, 267, 476, 1960, 279, 1040, 1452, 10909, 2671, 1455, 14273, 267, 5561, 267, 543, 4074, 6990, 267, 607, 1134, 607, 14911, 1983, 543, 4066, 269, 1635, 29466, 2282, 835, 1776, 267, 891, 9988, 666, 3035, 8994, 2640, 998, 1942, 9806, 267, 2799, 4398, 267, 4824, 1569, 547, 7463, 13007, 267, 543, 8476, 2344, 3255, 269, 5047, 267, 13421, 6536, 6735, 543, 5647, 267, 27513, 2590, 1007, 1587, 7835, 543, 1184, 9283, 602, 5352, 2318, 5007, 885, 585, 824, 10909, 543, 2950, 269, 1306, 971 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 811, 596, 2259, 267, 519, 1732, 596, 1205, 269, 1924, 267, 547, 1577, 596, 2259, 543, 513, 576, 519, 6060, 538, 519, 25705, 8791, 540, 782, 519, 30914, 1401, 3133, 725, 267, 7813, 619, 323, 6767, 568, 18445, 596, 609, 1109, 3725, 1783, 532, 5999, 543, 12226, 1109, 517, 1585, 3584, 269, 8347, 547, 3801, 891, 2243, 3054, 547, 6060, 538, 14232, 1109, 29368, 4916, 681, 305, 289, 18161, 1109, 300, 1622, 267, 25153, 4916, 681, 305, 289, 1849, 17064, 267, 25153, 4916, 1849, 17064, 267, 824, 12948, 543, 6142, 11400, 780, 17445, 687, 630, 272, 268, 276, 2567, 5530, 519, 5036, 540, 2338, 2016, 2630, 543, 2626, 519, 2055, 267, 2016, 2630, 1384, 4366, 280, 1109, 476, 1109, 276, 6078, 1109, 476, 1109, 4792, 275, 1109, 476, 1109, 4817, 274, 1109, 476, 1109, 4281, 274, 692, 304, 272, 269, 1403, 538, 1142, 1297, 267, 782, 519, 1614, 9704, 616, 11231, 538, 26799, 1931, 267, 799, 540, 519, 1739, 786, 581, 519, 9803, 1297, 888, 5416, 264, 476, 4366, 280, 454, 6357, 264, 476, 276, 6078, 454, 6262, 264, 476, 4792, 275, 454, 5560, 264, 476, 4817, 274, 454, 16216, 264, 476, 4281, 274, 692, 304, 273, 269, 1403, 2947, 568, 10208, 539, 689, 1142, 540, 519, 2338, 267, 799, 540, 519, 1739, 2338, 786, 581, 519, 3017, 1063, 519, 2034, 7857, 540, 2034, 5207, 1297, 543, 519, 2034, 7857, 540, 519, 5207, 1297, 888, 5416, 264, 20023, 454, 6357, 264, 476, 274, 454, 6262, 264, 476, 272, 454, 5560, 264, 476, 275, 454, 16216, 264, 476, 273, 692, 304, 274, 269, 1403, 538, 1142, 1297, 519, 1101, 543, 519, 2034, 9704, 616, 954, 577, 6548, 267, 799, 786, 581, 519, 3791, 5207, 1297, 888, 5416, 264, 476, 4366, 280, 454, 6357, 264, 476, 276, 6078, 454, 6262, 264, 476, 4792, 275, 454, 5560, 264, 476, 4817, 274, 454, 16216, 264, 476, 4281, 274, 692, 304, 275, 269, 6904, 540, 519, 1739, 2338, 786, 581, 5833, 952, 519, 1101, 7857, 540, 9803, 1297, 568, 10208, 539, 689, 519, 2034, 7857, 540, 5207, 1297, 1310, 4946, 835, 547, 1142, 540, 519, 2338, 888, 5416, 264, 476, 272, 454, 6357, 264, 476, 273, 454, 6262, 264, 476, 274, 454, 5560, 264, 476, 275, 454, 16216, 264, 476, 276, 692, 304, 276, 269, 1403, 538, 1142, 1297, 267, 519, 1101, 543, 519, 2063, 9704, 616, 954, 577, 6548, 267, 799, 540, 519, 1739, 786, 581, 519, 2034, 5207, 1297, 888, 5416, 264, 476, 4366, 280, 454, 6357, 264, 476, 276, 6078, 454, 6262, 264, 476, 4792, 275, 454, 5560, 264, 476, 4817, 274, 454, 16216, 264, 476, 4281, 274, 692, 17445, 687, 630, 277, 268, 1015, 2567, 769, 519, 1739, 2055, 267, 519, 6698, 7711, 267, 9736, 267, 8096, 267, 4939, 267, 543, 616, 1031, 609, 519, 1739, 10096, 607, 11609, 2630, 912, 8072, 303, 9736, 1627, 685, 1797, 2048, 303, 568, 711, 3152, 982, 1627, 17483, 8072, 303, 4939, 1627, 685, 1797, 2048, 303, 568, 711, 4130, 982, 1627, 17483, 8072, 303, 1627, 685, 1797, 2048, 303, 568, 9444, 4130, 982, 6862, 3160, 547, 1627, 19028, 8072, 303, 7711, 1627, 685, 1797, 2048, 303, 568, 9444, 3152, 982, 6862, 3160, 547, 1627, 17483, 8072, 303, 8096, 1627, 685, 1797, 2048, 303, 568, 9444, 3152, 982, 6862, 4130, 982, 1627, 19028, 3086, 538, 1142, 540, 519, 1739, 2055, 267, 14322, 519, 2016, 3948, 547, 581, 3020, 267, 1265, 799, 540, 519, 1079, 8753, 594, 543, 4083, 2016, 2630, 873, 568, 270, 732, 9090, 3020, 563, 5416, 264, 1403, 1152, 10390, 594, 568, 3020, 563, 6357, 264, 1403, 1152, 3932, 4083, 568, 3020, 454, 6262, 264, 1403, 2901, 3932, 594, 610, 4083, 568, 3020, 454, 5560, 264, 952, 9444, 10390, 594, 6862, 4083, 568, 3020, 563, 16216, 264, 952, 1312, 1230, 7501, 594, 543, 4083, 616, 3020, 780, 304, 277, 269, 32276, 2433, 918, 7711, 966, 267, 966, 9736, 715, 267, 715, 4939, 674, 454, 3519, 7501, 10778, 296, 269, 674, 7711, 966, 454, 2862, 269, 918, 7711, 715, 692, 304, 278, 269, 32276, 2433, 670, 9736, 654, 267, 654, 8096, 631, 267, 631, 7711, 645, 454, 3519, 7501, 10778, 296, 269, 645, 265, 1109, 670, 454, 2862, 269, 631, 4939, 670, 692, 304, 279, 269, 32276, 2433, 667, 4939, 645, 267, 645, 570, 267, 570, 8096, 631, 454, 3519, 7501, 23241, 280, 269, 32276, 2433, 631, 570, 267, 570, 7711, 918, 267, 918, 9736, 715, 454, 6962, 10778, 296, 269, 715, 570, 454, 2862, 269, 715, 631, 692, 1015, 269, 32276, 2433, 681, 8096, 808, 267, 808, 4939, 667, 267, 667, 674, 454, 3519, 7501, 10778, 296, 269, 667, 8096, 681, 454, 2862, 269, 667, 7711, 681, 692, 17445, 687, 630, 1556, 268, 1428, 2567, 3367, 519, 1739, 1344, 543, 2626, 519, 2243, 602, 1246, 912, 306, 1460, 15872, 5025, 267, 645, 267, 595, 267, 667, 267, 661, 543, 674, 268, 732, 547, 581, 9447, 689, 11728, 547, 10732, 835, 11000, 1169, 1554, 563, 9217, 264, 17976, 595, 3112, 581, 9447, 593, 11016, 563, 23870, 264, 17976, 589, 568, 5548, 9121, 5612, 1310, 11000, 667, 563, 31702, 264, 1703, 1058, 581, 513, 7934, 540, 1079, 2395, 1063, 519, 15872, 645, 543, 674, 563, 263, 643, 264, 1703, 568, 835, 9702, 4849, 14349, 269, 17976, 674, 568, 9447, 593, 519, 1985, 1554, 540, 9702, 563, 17635, 264, 17976, 661, 568, 9447, 593, 13723, 4586, 263, 12858, 264, 17976, 661, 568, 711, 9447, 593, 5612, 1310, 519, 17976, 674, 780, 304, 1556, 269, 2201, 799, 1554, 729, 11000, 667, 5548, 9121, 888, 5416, 264, 11016, 454, 6357, 264, 14349, 454, 6262, 264, 10732, 454, 5560, 264, 13628, 454, 16216, 264, 7183, 540, 891, 692, 304, 1321, 269, 2201, 799, 1554, 729, 9702, 888, 5416, 264, 10732, 454, 6357, 264, 11016, 454, 6262, 264, 11728, 454, 5560, 264, 13628, 454, 16216, 264, 7183, 540, 891, 692, 304, 1724, 269, 1215, 1082, 15872, 941, 9447, 1063, 674, 543, 667, 888, 5416, 264, 7183, 454, 6357, 264, 835, 454, 6262, 264, 1079, 454, 5560, 264, 8422, 454, 16216, 264, 7183, 540, 891, 692, 304, 1691, 269, 6904, 540, 519, 1739, 729, 519, 2063, 11000, 888, 5416, 264, 589, 454, 6357, 264, 595, 454, 6262, 264, 645, 454, 5560, 264, 2052, 1406, 581, 5462, 454, 16216, 264, 7183, 540, 891, 692, 304, 1428, 269, 1215, 1082, 15872, 16516, 1354, 519, 1554, 593, 799, 595, 9447, 888, 5416, 264, 3143, 835, 563, 6357, 264, 2290, 454, 6262, 264, 5565, 454, 5560, 264, 8422, 454, 16216, 264, 2859, 982, 1614, 692, 301, 697, 4147, 25705, 5999, 585, 681, 10292, 19608, 1299, 25153, 4916, 1849, 17064, 2776, 11929, 476, 1001, 278, 263, 11405, 2020, 10135, 19272, 25153, 4916, 18161, 476, 1001, 278, 692, 8099, 876, 266, 630, 305, 305, 289, 267, 1849, 17064, 267, 18161, 264, 15443, 573, 919, 941, 5697, 538, 25153, 4916, 18161, 476, 1001, 277, 689, 19396, 5295, 15858, 15789, 780, 280, 856, 540, 1169, 476, 1015, 10457, 5697, 538, 25153, 4916, 18161, 2063, 1032, 1904, 539, 585, 5410, 320, 26316, 6732, 4530, 10022, 269, 0, 258, 7223, 692, 14006, 539, 676, 593, 16317, 274, 24474, 284, 276, 270, 1015, 268, 273, 692, 1892, 7223, 910, 2073, 692, 274, 24474, 815, 476, 276, 270, 1015, 910, 476, 273, 2676, 274, 24474, 815, 476, 272, 270, 273, 910, 476, 275, 270, 273, 2676, 274, 24474, 815, 910, 476, 274, 270, 273, 2676, 1103, 3200, 1312, 2427, 2676, 343, 270, 274, 815, 910, 476, 273, 270, 274, 2676, 11372, 17586, 1312, 5011, 676, 476, 274, 912, 343, 815, 910, 476, 277, 270, 274, 2676, 343, 815, 910, 273, 269, 0, 258, 11473, 281, 20389, 6657, 4530, 476, 272, 3040, 8791, 476, 275, 3040, 7726, 476, 3066, 692, 13706, 519, 1599, 31977, 373, 263, 31915, 264, 815, 630, 31915, 1341, 476, 274, 19422, 31915, 6567, 476, 272, 1040, 634, 1599, 15855, 355, 815, 31977, 373, 263, 31915, 264, 568, 1178, 335, 1117, 593, 519, 15855, 354, 268, 8740, 355, 7077, 3254, 269, 1403, 519, 3830, 15855, 355, 815, 15855, 354, 1341, 476, 274, 568, 6537, 593, 519, 1482, 1305, 540, 17887, 267, 799, 540, 519, 1739, 1131, 581, 513, 1448, 540, 10167, 540, 519, 1079, 11708, 286, 1496, 288, 316, 630, 273, 267, 476, 276, 264, 1496, 289, 316, 630, 272, 267, 476, 271, 264, 1496, 290, 316, 630, 273, 267, 476, 271, 264, 1496, 291, 316, 630, 271, 267, 476, 273, 2020, 4962, 281, 2764, 692, 2162, 11473, 3690, 5296, 692, 13706, 519, 1599, 31977, 373, 540, 15855, 354, 11224, 15855, 354, 7132, 1614, 936, 15855, 354, 14263, 835, 269, 634, 1599, 15855, 355, 11224, 31977, 373, 540, 15855, 354, 568, 1178, 335, 1117, 593, 519, 15855, 354, 8740, 355, 13807, 2033, 3254, 269, 1403, 519, 3830, 15855, 355, 11224, 15855, 354, 7132, 1614, 568, 6537, 593, 519, 1482, 1305, 540, 17887, 267, 799, 540, 519, 1739, 1131, 581, 513, 1448, 540, 10167, 540, 519, 1079, 11708, 286, 634, 5079, 616, 589, 264, 1079, 267, 2947, 282, 645, 264, 835, 267, 4642, 282, 595, 264, 1079, 267, 4642, 282, 610, 667, 264, 4642, 267, 1079, 780, 3383, 547, 960, 713, 856, 267, 1018, 649, 2461, 2469, 547, 798, 568, 4729, 519, 3830, 15855, 355, 11224, 15855, 354, 7132, 1614, 593, 519, 1482, 17887, 269, 1924, 538, 1931, 547, 948, 721, 798, 602, 267, 1018, 594, 4076, 2944, 568, 6537, 513, 3349, 269, 1924, 594, 4076, 3893, 1250, 15855, 354, 268, 11161, 543, 1250, 15855, 355, 268, 11161, 269, 1656, 1631, 594, 6557, 27613, 3442, 1614, 15855, 354, 268, 11161, 269, 1656, 519, 15855, 354, 268, 11161, 594, 4076, 6074, 616, 2942, 476, 1428, 267, 4642, 267, 543, 476, 1428, 269, 1656, 594, 4076, 6074, 891, 1317, 789, 2461, 2653, 547, 1118, 856, 593, 938, 4336, 602, 649, 723, 269, 1411, 1223, 3442, 1022, 1614, 2798, 596, 4941, 547, 593, 519, 1899, 547, 948, 596, 2721, 519, 2786, 1899, 269, 769, 1249, 267, 596, 1152, 991, 1079, 2798, 269, 594, 4076, 1175, 6074, 1614, 1175, 547, 1118, 2386, 780, 3383, 1631, 1018, 594, 991, 547, 798, 568, 960, 856, 1018, 519, 7222, 15855, 355, 268, 11161, 616, 269, 1656, 782, 594, 991, 547, 798, 547, 1265, 873, 856, 568, 547, 1039, 1614, 269, 1656, 602, 779, 1317, 938, 3830, 568, 15855, 355, 11224, 15855, 354, 7132, 1614, 269, 1656, 950, 594, 798, 602, 267, 519, 2418, 594, 1205, 616, 2942, 476, 1321, 267, 1614, 267, 543, 476, 1240, 269, 1656, 19551, 602, 594, 1205, 2942, 476, 1321, 585, 519, 1101, 1871, 269, 1656, 602, 779, 1317, 952, 649, 4076, 3893, 2942, 476, 1428, 543, 649, 1039, 1614, 267, 621, 1797, 602, 649, 8910, 581, 3001, 1318, 909, 519, 1297, 1899, 269, 1924, 649, 1205, 1447, 2942, 269, 1924, 602, 779, 1946, 649, 1205, 547, 2942, 476, 1321, 780, 3383, 1631, 1018, 594, 798, 568, 594, 4729, 1250, 2798, 269, 1924, 594, 4076, 3893, 1250, 1101, 1448, 281, 2942, 476, 1428, 267, 2942, 476, 1321, 269, 1924, 519, 1985, 1448, 568, 4642, 267, 1614, 602, 594, 4076, 849, 28367, 593, 519, 3113, 269, 1656, 602, 779, 4642, 593, 519, 15855, 354, 14289, 543, 1614, 593, 519, 15855, 355, 14289, 269, 1656, 1287, 267, 6368, 267, 594, 723, 476, 1428, 267, 476, 1240, 269, 1924, 594, 4076, 28367, 602, 269, 1924, 1287, 782, 594, 991, 547, 798, 568, 2721, 519, 2786, 1899, 543, 6003, 1250, 1899, 267, 799, 568, 15855, 355, 11224, 15855, 354, 7132, 1614, 780, 4517, 952, 649, 1491, 513, 1413, 693, 938, 11708, 267, 649, 666, 1294, 602, 972, 616, 1079, 2798, 540, 10167, 269, 1924, 602, 1797, 602, 972, 616, 1079, 2798, 1141, 519, 3113, 540, 519, 1599, 31977, 373, 540, 15855, 354, 11224, 15855, 354, 7132, 1614, 936, 15855, 354, 14263, 835, 10742, 519, 3113, 540, 519, 3830, 15855, 355, 11224, 15855, 354, 7132, 1614, 269, 1924, 1631, 952, 649, 1491, 513, 1413, 693, 1018, 519, 10974, 540, 938, 2798, 616, 267, 649, 666, 1294, 602, 519, 1318, 11804, 1448, 540, 10167, 568, 27613, 723, 1079, 2059, 519, 15855, 354, 14289, 543, 2947, 538, 519, 15855, 355, 14289, 269, 1924, 4061, 267, 519, 10974, 616, 2469, 547, 581, 1079, 267, 2947, 269, 1656, 1287, 519, 824, 1448, 593, 519, 2451, 11804, 2427, 568, 2469, 547, 581, 2942, 1614, 538, 519, 15855, 354, 14289, 543, 4642, 538, 519, 15855, 355, 14289, 269, 1924, 621, 779, 2942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6902, 815, 476, 274, 536, 281, 1341, 476, 273, 815, 476, 272, 282, 815, 513, 281, 476, 4029, 536, 281, 513, 281, 476, 1724, 536, 281, 476, 275, 524, 281, 476, 3607, 546, 281, 476, 275, 552, 281, 476, 1626, 535, 281, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1556, 7689, 513, 281, 815, 476, 276, 536, 281, 815, 476, 1015, 524, 281, 815, 476, 1428, 546, 281, 815, 476, 273, 552, 281, 815, 476, 1015, 535, 281, 815, 476, 274, 610, 513, 281, 524, 815, 476, 273, 536, 281, 3143, 3070, 630, 1341, 476, 274, 264, 815, 476, 277, 630, 476, 272, 266, 272, 1040, 815, 1053, 513, 281, 476, 2918, 536, 281, 476, 275, 524, 281, 476, 273, 546, 281, 513, 281, 11638, 680, 536, 476, 274, 269, 536, 281, 815, 513, 281, 815, 476, 275, 536, 281, 533, 815, 513, 281, 476, 273, 1341, 272, 630, 476, 273, 264, 815, 476, 273, 630, 476, 273, 1070, 815, 476, 272, 536, 281, 476, 271, 815, 8096, 3756, 269, 8096, 513, 281, 2073, 2073, 536, 281, 524, 281, 815, 7689, 12226, 786, 15254, 513, 281, 815, 476, 273, 536, 281, 815, 513, 281, 476, 4391, 536, 281, 476, 276, 269, 276, 524, 281, 476, 274, 546, 281, 513, 281, 476, 10170, 269, 275, 610, 476, 7761, 14274, 536, 281, 476, 10037, 1004, 590, 1013, 879, 345, 619, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1556, 692, 1321, 7689, 815, 513, 281, 536, 281, 513, 281, 2451, 815, 476, 275, 267, 1318, 815, 476, 278, 630, 3847, 568, 3152, 264, 536, 281, 2451, 815, 476, 276, 267, 1318, 815, 476, 272, 630, 2431, 568, 3152, 264, 513, 281, 476, 279, 476, 1428, 610, 476, 271, 269, 7871, 536, 281, 513, 281, 815, 476, 273, 536, 281, 815, 476, 274, 269, 276, 524, 281, 546, 281, 610, 7689, 12726, 3349, 543, 3113, 281, 7612, 476, 271, 786, 723, 476, 272, 4009, 267, 7612, 476, 275, 786, 723, 513, 476, 276, 1532, 268, 276, 4009, 609, 476, 279, 17981, 7923, 538, 513, 4737, 593, 519, 1318, 267, 543, 7612, 476, 1911, 786, 723, 513, 476, 6200, 1532, 268, 6200, 4009, 609, 476, 1220, 17981, 7923, 538, 513, 4737, 593, 519, 1318, 2073, 476, 273, 263, 278, 264, 1341, 476, 275, 263, 274, 264, 1341, 476, 273, 815, 476, 2764, 4559, 513, 281, 536, 281, 524, 281, 546, 281, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1724, 7689, 513, 281, 536, 281, 630, 476, 274, 267, 476, 273, 264, 524, 281, 589, 29236, 546, 281, 630, 476, 274, 267, 476, 273, 264, 1058, 581, 630, 476, 274, 267, 476, 276, 264, 513, 281, 536, 281, 524, 281, 634, 29236, 538, 851, 630, 320, 264, 2798, 16057, 267, 1247, 519, 29236, 538, 851, 630, 321, 264, 2798, 18746, 269, 546, 281, 13008, 476, 273, 269, 277, 552, 281, 13008, 513, 281, 8096, 1789, 536, 281, 2701, 1274, 985, 8096, 277, 829, 5662, 267, 865, 1310, 3108, 267, 1352, 1274, 985, 476, 277, 9489, 269, 524, 281, 6423, 3113, 693, 1318, 269, 898, 1058, 581, 6024, 14322, 602, 1352, 568, 6976, 585, 9864, 3108, 19382, 9210, 1833, 281, 476, 273, 1341, 476, 275, 267, 6902, 9406, 9210, 1833, 281, 476, 274, 266, 272, 267, 476, 271, 282, 661, 680, 10698, 281, 4469, 760, 519, 17981, 689, 3148, 547, 1341, 3148, 267, 6875, 476, 275, 19179, 689, 1312, 5011, 513, 281, 536, 281, 524, 281, 546, 281, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1724, 692, 1691, 7689, 513, 281, 815, 476, 273, 536, 281, 815, 476, 272, 524, 281, 630, 476, 274, 264, 4564, 519, 6587, 540, 476, 274, 267, 799, 568, 513, 281, 8786, 536, 281, 3143, 524, 281, 3143, 546, 281, 8786, 5442, 20465, 744, 7473, 20465, 513, 281, 6423, 3113, 693, 1318, 269, 536, 281, 898, 568, 513, 1793, 5896, 1899, 602, 11081, 607, 4679, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 8096, 6924, 269, 4037, 536, 281, 476, 736, 6550, 910, 5793, 1061, 281, 630, 271, 267, 476, 272, 264, 910, 5793, 1061, 281, 630, 271, 269, 276, 267, 476, 271, 264, 630, 273, 267, 476, 274, 264, 7689, 513, 281, 815, 7612, 476, 271, 7612, 476, 275, 536, 281, 630, 276, 267, 476, 1321, 264, 513, 281, 536, 281, 815, 476, 273, 476, 272, 5442, 20465, 744, 7473, 20465, 9351, 476, 12293, 269, 278, 267, 18592, 513, 281, 1323, 1297, 536, 281, 544, 815, 476, 280, 524, 281, 815, 476, 275, 546, 281, 533, 815, 513, 281, 1948, 540, 7734, 476, 1321, 267, 476, 10463, 536, 281, 3687, 2373, 476, 271, 267, 476, 1691, 524, 281, 30683, 476, 22213, 267, 476, 12573, 30605, 476, 1428, 267, 476, 272, 2349, 4169, 476, 273, 269, 276, 267, 476, 2004, 267, 476, 4037, 11829, 976, 476, 272, 267, 476, 276, 267, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1428, 7689, 513, 281, 3143, 3070, 536, 281, 815, 476, 274, 269, 276, 524, 281, 1323, 1297, 546, 281, 815, 513, 281, 476, 5655, 536, 281, 476, 274, 524, 281, 476, 1321, 546, 281, 2913, 2099, 519, 8700, 540, 519, 13551, 267, 476, 273, 1341, 476, 273, 263, 273, 1341, 476, 274, 264, 815, 476, 4281, 267, 476, 2767, 4699, 543, 476, 1321, 4699, 5442, 20465, 744, 7473, 20465, 513, 281, 6423, 3113, 693, 1318, 269, 536, 281, 589, 29236, 6679, 16057, 513, 281, 476, 736, 476, 278, 815, 536, 281, 524, 281, 546, 281, 815, 476, 4366, 476, 276, 815, 7689, 513, 281, 536, 281, 524, 281, 546, 281, 634, 616, 23842, 693, 519, 1482, 2557, 267, 476, 271, 269, 279, 8964, 26553, 513, 281, 815, 476, 273, 536, 281, 815, 476, 272, 524, 281, 2353, 2338, 546, 281, 815, 5442, 476, 275, 282, 744, 7473, 476, 279, 267, 476, 274, 267, 476, 272, 267, 476, 2190, 513, 281, 12226, 786, 15254, 269, 12726, 3210, 281, 634, 1587, 540, 543, 568, 620, 13195, 476, 2190, 269, 536, 281, 815, 476, 2190, 610, 815, 476, 2190, 524, 281, 6423, 3113, 693, 1318, 513, 281, 8422, 1447, 982, 2947, 2053, 536, 281, 3828, 823, 519, 2040, 540, 543, 524, 281, 8422, 8519, 536, 519, 2040, 540, 543, 476, 276, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1428, 692, 1626, 7689, 513, 281, 815, 476, 273, 536, 281, 815, 513, 281, 536, 281, 524, 281, 546, 281, 11667, 815, 476, 8618, 267, 5580, 14415, 850, 815, 476, 9032, 267, 2539, 14415, 850, 815, 589, 13483, 544, 267, 623, 544, 513, 281, 8096, 271, 269, 10019, 11013, 536, 281, 476, 271, 269, 277, 575, 4699, 524, 281, 8096, 274, 269, 2004, 546, 281, 8096, 1556, 269, 6434, 552, 281, 476, 15433, 15833, 535, 281, 18324, 9398, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1704, 7689, 630, 291, 320, 476, 272, 264, 476, 275, 268, 273, 269, 513, 281, 536, 281, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 524, 281, 546, 281, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 552, 281, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 7612, 476, 271, 7612, 476, 275, 7612, 513, 281, 536, 281, 524, 281, 634, 1448, 1131, 9114, 693, 630, 276, 267, 476, 866, 1070, 1317, 519, 4341, 568, 815, 610, 1317, 621, 568, 2009, 547, 3589, 593, 519, 3113, 513, 281, 476, 3393, 536, 281, 476, 277, 524, 281, 476, 7830, 546, 281, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 476, 277, 476, 2641, 536, 281, 524, 281, 476, 276, 263, 1341, 476, 273, 264, 546, 281, 476, 275, 263, 273, 1341, 476, 274, 264, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1704, 692, 1240, 7689, 630, 291, 320, 476, 273, 264, 476, 275, 268, 278, 269, 513, 281, 634, 29236, 1058, 1780, 998, 519, 2798, 630, 271, 267, 476, 271, 264, 543, 630, 273, 267, 476, 271, 264, 543, 723, 513, 9451, 693, 630, 272, 267, 476, 272, 264, 2701, 1058, 723, 4607, 1079, 5026, 6517, 543, 4557, 4773, 540, 11647, 630, 476, 273, 264, 815, 476, 274, 630, 1341, 476, 273, 264, 513, 281, 815, 513, 281, 536, 281, 524, 281, 476, 271, 546, 281, 815, 476, 273, 1341, 272, 7689, 513, 281, 476, 274, 536, 281, 1913, 5442, 476, 276, 282, 744, 7473, 476, 866, 267, 476, 272, 267, 476, 1428, 267, 476, 1220, 276, 267, 476, 273, 266, 276, 513, 281, 11638, 680, 536, 476, 273, 543, 1039, 476, 276, 269, 536, 281, 815, 3962, 11078, 4607, 476, 272, 16968, 267, 476, 7761, 2835, 267, 543, 476, 279, 7131, 338, 513, 281, 476, 1839, 11027, 476, 4281, 269, 276, 13483, 269, 10264, 269, 536, 281, 8096, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 866, 7689, 513, 281, 536, 281, 7612, 476, 271, 7612, 476, 275, 524, 281, 815, 4699, 7612, 1948, 1948, 540, 570, 3796, 513, 281, 815, 476, 273, 536, 281, 815, 5442, 20465, 744, 7473, 20465, 815, 476, 1839, 630, 22780, 2557, 1070, 815, 476, 6344, 17529, 7689, 513, 281, 12226, 786, 15254, 269, 536, 281, 3962, 4137, 814, 476, 275, 811, 17981, 982, 519, 4137, 1354, 621, 269, 524, 281, 815, 7612, 476, 271, 814, 476, 278, 17981, 269, 7612, 476, 272, 814, 476, 280, 17981, 269, 634, 4806, 540, 2208, 568, 4946, 476, 273, 269, 634, 4341, 568, 815, 513, 281, 2353, 2338, 269, 536, 281, 815, 1403, 568, 544, 1297, 267, 1287, 476, 276, 476, 273, 815, 476, 272, 282, 815, 5442, 281, 476, 276, 267, 476, 276, 267, 476, 275, 267, 476, 272, 269, 276, 267, 476, 2004, 282, 744, 7473, 281, 476, 1556, 513, 281, 11638, 680, 536, 476, 274, 543, 10208, 476, 273, 269, 536, 281, 12226, 786, 15254, 269, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 866, 692, 736, 7689, 25792, 3070, 3349, 281, 513, 281, 6423, 3113, 693, 1318, 269, 536, 281, 8786, 269, 476, 13923, 815, 476, 274, 263, 476, 2004, 264, 12226, 786, 15254, 589, 815, 476, 7761, 269, 1839, 11027, 6515, 476, 273, 267, 595, 815, 476, 1704, 11027, 476, 7871, 269, 275, 6515, 630, 271, 267, 476, 273, 264, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 476, 276, 476, 272, 536, 281, 476, 1556, 476, 272, 524, 281, 476, 276, 476, 272, 546, 281, 12226, 786, 15254, 513, 281, 634, 1899, 1058, 1780, 998, 630, 274, 267, 476, 271, 264, 543, 630, 271, 267, 476, 274, 1040, 536, 281, 8786, 269, 476, 3066, 815, 513, 281, 1323, 1297, 269, 536, 281, 815, 476, 271, 524, 281, 678, 815, 476, 277, 546, 281, 3143, 3070, 513, 281, 815, 476, 277, 536, 281, 815, 476, 1626, 524, 281, 815, 476, 272, 269, 276, 546, 281, 815, 513, 281, 901, 1058, 581, 513, 8880, 1899, 609, 513, 2318, 910, 7407, 602, 7475, 693, 815, 476, 1015, 269, 536, 281, 901, 1058, 1376, 609, 2318, 910, 7407, 543, 723, 513, 9386, 540, 476, 271, 267, 1287, 621, 1058, 2490, 547, 2942, 9386, 267, 543, 1287, 621, 1058, 2132, 547, 513, 9386, 540, 476, 271, 693, 519, 910, 9820, 269, 524, 281, 901, 1058, 1376, 5997, 2632, 718, 2059, 519, 1899, 815, 476, 271, 267, 1287, 621, 1058, 4473, 2656, 331, 547, 513, 2362, 8880, 1899, 267, 543, 1287, 621, 1058, 13956, 547, 513, 2539, 2318, 8880, 1899, 267, 10678, 693, 815, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 2641, 7689, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 589, 543, 595, 723, 476, 271, 17981, 267, 543, 645, 814, 476, 1789, 17981, 269, 536, 281, 595, 9428, 1034, 2656, 331, 693, 476, 1015, 17981, 829, 4137, 269, 4706, 1899, 568, 519, 14869, 652, 269, 524, 281, 7612, 476, 273, 269, 634, 3515, 12969, 693, 630, 273, 267, 476, 736, 1040, 546, 281, 815, 634, 1101 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 1977, 21537, 2135, 2414, 667, 1143, 1170, 634, 22547, 2986, 23068, 1656, 25734, 769, 1977, 3778, 1306, 589, 631, 699, 1744, 600, 1772, 3502, 8307, 1677, 22695, 648, 10434, 12700, 267, 898, 1772, 4746, 1677, 5345, 1228, 634, 9046, 3465, 5034, 1635, 8409, 12700, 269, 634, 22547, 2986, 23068, 1656, 25734, 769, 901, 13474, 12984, 6452, 558, 3966, 1221, 1635, 634, 22547, 2986, 26913, 269, 2334, 5565, 901, 7433, 12984, 5548, 9121, 1306, 634, 30814, 17372, 2986, 634, 9257, 2986, 1977, 16024, 2103, 2311, 6115, 267, 667, 5861, 1421, 4989, 476, 277, 3267, 476, 1428, 628, 267, 476, 1708, 271, 288, 3266, 1656, 966, 756, 549, 659, 24065, 923, 2986, 14825, 12067, 5695, 2692, 12737, 619, 476, 1001, 274, 3267, 306, 1723, 582, 518, 6796, 29766, 22544, 15015, 2382, 656, 10481, 2762, 2098, 574, 5913, 7726, 7433, 476, 1001, 274, 24730, 674, 3244, 332, 976, 27018, 12307, 2060, 10241, 1656, 8466, 11872, 8827, 15015, 288, 28985, 30258, 4208, 594, 674, 4454, 1280, 634, 7126, 2986, 634, 2598, 12574, 309, 342, 700, 339, 3374, 570, 10972, 15015, 570, 325, 330, 1408, 1546, 14157, 802, 342, 10402, 8111, 2142, 564, 548, 2142, 564, 548, 288, 1356, 661, 326, 6246, 332, 15015, 290, 622, 3273, 26952, 20710, 3101, 9978, 3163, 2060, 11916, 5804, 26913, 1677, 15213, 3778, 3267, 476, 2918, 628, 267, 476, 1708, 271, 563, 763, 570, 625, 2334, 645, 785, 267, 3245, 26913, 1677, 15213, 763, 570, 625, 2334, 645, 785, 267, 3245, 26913, 1677, 15213, 634, 25306, 9539, 15625, 7731, 8422, 9198, 725, 2986, 1323, 3979, 1977, 7731, 12389, 769, 634, 1744, 27595, 2986, 853, 269, 6754, 779, 5783, 1323, 16504, 3427, 4317, 5525, 15099, 1547, 31351, 4841, 267, 8080, 1677, 634, 9452, 2986, 634, 25306, 20307, 7731, 267, 1323, 3979, 1977, 7731, 2334, 700, 1882, 9406, 8921, 1677, 853, 269, 6754, 779, 5783, 769, 634, 476, 866, 628, 1656, 476, 736, 628, 2578, 3753, 769, 634, 16011, 2986, 3267, 476, 866, 628, 267, 476, 1708, 271, 306, 18561, 1656, 15213, 281, 634, 1977, 21537, 2135, 31611, 590, 269, 21546, 3267, 3674, 634, 6239, 21537, 2135, 2986, 1977, 3778, 269, 634, 7420, 267, 1280, 589, 20616, 16024, 1014, 2311, 2274, 770, 267, 1772, 1677, 11512, 1215, 589, 4658, 16393, 5620, 31603, 634, 667, 539, 1709, 1677, 5274, 23068, 1656, 667, 793, 640, 1401, 3031, 1243, 1635, 634, 24285, 2986, 634, 1977, 7169, 1656, 2311, 634, 23893, 5384, 5620, 1546, 767, 268, 744, 6244, 1656, 19321, 539, 589, 3590, 2986, 8534, 2334, 9324, 1221, 5274, 23068, 1656, 6226, 268, 715, 640, 5272, 28914, 2986, 634, 4303, 269, 634, 21537, 2135, 1772, 5345, 1211, 3267, 476, 1626, 628, 267, 476, 1708, 271, 12218, 3336, 12754, 13268, 564, 3979, 4892, 1656, 634, 6519, 3267, 12218, 3336, 12754, 13268, 564, 3979, 4892, 1656, 634, 6519, 5600, 476, 5002, 271, 1107, 7073, 4303, 476, 272, 21850, 29767, 634, 6519, 5600, 13201, 7612, 323, 8871, 514, 1836, 769, 3509, 12267, 2986, 634, 3979, 1977, 15213, 26647, 24327, 269, 4858, 557, 9093, 1656, 6468, 645, 3430, 1194, 1677, 7736, 26913, 769, 634, 715, 12078, 11416, 1656, 8033, 4240, 634, 674, 697, 1635, 11554, 1677, 24344, 634, 966, 1774, 1656, 7420, 26521, 269, 4256, 11202, 338, 10705, 27439, 1677, 634, 15445, 631, 6416, 3267, 476, 1556, 628, 267, 476, 1708, 271, 563, 763, 11918, 652, 1144, 674, 5362, 1723, 910, 6341, 20279, 3557, 2160, 10454, 11918, 652, 1144, 674, 5362, 1723, 257, 3245, 31611, 590, 269, 21546, 267, 1977, 26913, 267, 1977, 15213, 630, 6124, 3840, 281, 654, 15030, 269, 17368, 517, 1656, 7577, 267, 476, 3192, 276, 1040, 634, 3689, 23027, 2986, 2296, 5443, 1234, 3737, 9098, 2311, 15729, 8361, 267, 634, 8828, 10361, 1633, 2311, 634, 14956, 2287, 2986, 27991, 1901, 820, 7345, 267, 2201, 4989, 476, 2918, 267, 476, 8182, 278, 269, 634, 23893, 4303, 4256, 24410, 7632, 23548, 534, 269, 634, 12075, 2986, 634, 15729, 8361, 16323, 1547, 1547, 1547, 1879, 1358, 5853, 589, 9549, 2986, 26062, 2107, 774, 8812, 5899, 13377, 3267, 476, 1626, 628, 267, 476, 1708, 271, 8512, 594, 281, 1284, 4060, 476, 272, 268, 10170, 269, 634, 11918, 652, 1144, 674, 5362, 1723, 269, 31611, 590, 269, 21546, 267, 1977, 26913, 3013, 15213, 630, 6124, 3840, 281, 654, 269, 654, 269, 17368, 517, 267, 476, 3192, 276, 1070, 30667, 476, 274, 267, 476, 275, 267, 1299, 476, 276, 269, 1496, 306, 298, 316, 476, 273, 269, 8827, 476, 272, 1677, 634, 8534, 10374, 720, 1765, 28158, 8056, 580, 7949, 4419, 1218, 1656, 1230, 341, 1112, 338, 269, 10787, 2917, 30421, 6277, 267, 968, 763, 6465, 21881, 19938, 2986, 20616, 4419, 3363, 281, 1323, 769, 14814, 4211, 2632, 847, 13979, 2223, 476, 274, 628, 267, 476, 1708, 271, 309, 7644, 294, 2562, 8656, 590, 4953, 307, 4041, 16774, 267, 476, 8182, 278, 268, 14341, 275, 2108, 297, 600, 652, 1144, 674, 5362, 1723, 892, 3245, 1977, 26913, 267, 1977, 15213, 4700, 476, 275, 269, 968, 314, 289, 316, 4370, 4787, 2683, 1358, 1401, 4624, 1677, 2142, 623, 4660, 1656, 12658, 1280, 23560, 634, 9877, 2986, 4518, 1280, 6904, 1358, 16874, 2142, 523, 670, 1600, 269, 2368, 21518, 30052, 2422, 995, 269, 1809, 11524, 2904, 5620, 5853, 23067, 2383, 9453, 31283, 1677, 2422, 4256, 7981, 13669, 757, 269, 1403, 1358, 21518, 3117, 2615, 1190, 267, 634, 4035, 601, 518, 2904, 5620, 1975, 550, 5384, 18391, 1280, 4035, 1564, 267, 634, 717, 9529, 19431, 338, 1280, 7108, 267, 634, 3267, 476, 279, 628, 267, 476, 1708, 271, 563, 309, 7644, 294, 2562, 8656, 590, 4953, 307, 4041, 16774, 910, 9741, 329, 2129, 10811, 680, 648, 3464, 2593, 300, 6716, 267, 968, 297, 600, 652, 1144, 674, 5362, 1723, 892, 3245, 1977, 26913, 267, 1977, 15213, 4700, 595, 269, 4746, 9046, 1738, 12984, 634, 7089, 2986, 4787, 2683, 20709, 24613, 1677, 9098, 269, 968, 16449, 634, 4787, 2683, 9093, 5808, 29035, 634, 5590, 25557, 769, 476, 8182, 278, 21518, 9050, 2961, 25871, 619, 267, 5565, 645, 4459, 331, 16558, 267, 2290, 28224, 630, 1952, 30068, 589, 14451, 31853, 20537, 645, 4459, 331, 11691, 1070, 589, 2349, 2931, 19431, 267, 589, 29114, 528, 267, 1656, 589, 4446, 828, 269, 634, 3267, 476, 276, 628, 267, 476, 1708, 271, 306, 624, 476, 277, 3848, 476, 4510, 910, 21942, 4065, 290, 6817, 968, 1492, 11918, 652, 1144, 674, 5362, 1723, 1848, 8072, 19425, 2801, 1108, 1772, 717, 643, 268, 532, 2974, 589, 13518, 2859, 22493, 16514, 2986, 1548, 898, 12984, 6145, 1677, 14970, 1703, 2223, 590, 904, 21546, 267, 3369, 846, 476, 3192, 276, 3778, 267, 1977, 26913, 267, 1977, 15213, 281, 634, 2107, 1372, 531, 2986, 20616, 9098, 267, 14803, 4240, 2334, 6276, 2389, 1144, 779, 3689, 13012, 21518, 2598, 28470, 269, 968, 3719, 6787, 898, 570, 5281, 634, 9098, 7577, 20553, 589, 11773, 9452, 1772, 6271, 7726, 1848, 634, 14066, 7089, 2986, 3267, 476, 2764, 628, 267, 476, 1708, 271, 6637, 476, 280, 634, 32700, 1656, 634, 9139, 267, 309, 597, 6265, 807, 6465, 1393, 1280, 16241, 15213, 630, 5408, 7305, 476, 276, 269, 272, 1040, 3040, 292, 6549, 9107, 13329, 9323, 5668, 1263, 539, 634, 26323, 2986, 26913, 281, 1107, 24589, 14702, 2372, 5474, 769, 476, 10082, 276, 5853, 539, 634, 3689, 779, 4165, 529, 18561, 5980, 269, 594, 269, 623, 2720, 3726, 2986, 25734, 630, 4186, 4700, 1107, 295, 739, 1988, 670, 2086, 1229, 634, 715, 2135, 1190, 11780, 769, 968, 18872, 594, 341, 800, 892, 1107, 763, 25550, 6837, 267, 476, 10082, 275, 595, 6817, 1280, 634, 13159, 589, 2513, 819, 2986, 634, 32013, 11780, 267, 589, 5681, 332, 976, 1677, 6904, 3267, 476, 1724, 628, 267, 476, 1708, 271, 563, 16446, 18277, 14576, 1546, 7585, 3057, 2917, 6452, 3581, 2871, 527, 732, 18264, 21741, 2271, 549, 310, 517, 1405, 1411, 6435, 1677, 7327, 1452, 14576, 338, 2986, 15213, 7790, 595, 667, 2506, 595, 667, 717, 595, 20531, 2353, 594, 17451, 16874, 267, 4414, 18277, 14576, 338, 267, 667, 717, 595, 667, 4414, 18277, 14576, 338, 269, 667, 717, 2506, 661, 2006, 27457, 622, 2659, 2383, 3245, 10076, 26913, 267, 595, 595, 20324, 2549, 7183, 1809, 3776, 2383, 2052, 5131, 3776, 9650, 338, 269, 717, 2506, 476, 736, 628, 267, 476, 1708, 271, 763, 31519, 910, 9210, 4593, 29914, 5783, 2986, 634, 5549, 28271, 763, 31519, 17461, 10312, 281, 634, 30687, 2986, 2696, 779, 4658, 630, 2750, 21402, 476, 1556, 281, 272, 268, 1428, 281, 2641, 264, 2696, 12984, 2060, 634, 4658, 1306, 1358, 968, 20852, 4934, 892, 630, 1492, 22175, 1968, 12791, 2986, 634, 6478, 31519, 264, 3245, 26913, 20553, 15213, 3414, 634, 4826, 269, 634, 4658, 2986, 2696, 5620, 6733, 539, 7982, 2201, 901, 5384, 1677, 9815, 23067, 1879, 2696, 1772, 26726, 1656, 1358, 18461, 23452, 269, 1280, 634, 7642, 267, 23883, 267, 634, 3171, 770, 2986, 30687, 5901, 338, 1325, 633, 901, 11759, 7926, 269, 1280, 3267, 476, 2641, 628, 267, 476, 1708, 271, 763, 13437, 2986, 15213, 281, 3057, 9398, 1656, 634, 20616, 11352, 3267, 274, 667, 7469, 928, 8055, 267, 645, 3672, 769, 19837, 550, 281, 15190, 15066, 9524, 1734, 2986, 17813, 1656, 15213, 267, 476, 6977, 271, 268, 4489, 271, 630, 291, 584, 5069, 267, 715, 5861, 1421, 476, 1220, 277, 1070, 476, 278, 630, 638, 21320, 1040, 1306, 8055, 1656, 594, 21909, 267, 769, 634, 661, 662, 14482, 5460, 1656, 20553, 634, 715, 12078, 2578, 3753, 267, 26913, 1656, 15213, 1280, 3022, 2353, 10662, 1656, 3752, 328, 268, 11023, 885, 2334, 16393, 11686, 17813, 1306, 634, 12729, 6178, 2986, 16338, 2107, 16140, 2986, 7991, 267, 589, 29203, 2334, 1772, 4432, 3660, 1635, 28246, 4039, 4800, 2201, 3267, 476, 1015, 628, 267, 476, 1708, 271, 563, 15578, 2048, 13052, 302, 12087, 645, 7495, 312, 5442, 476, 866, 8025, 595, 7728, 7838, 312, 645, 6020, 2316, 17239, 19010, 24717, 9692, 271, 268, 4350, 271, 630, 289, 7806, 2023, 18264, 1325, 269, 476, 1960, 272, 1070, 634, 18112, 550, 2201, 634, 16972, 8609, 630, 313, 3438, 476, 1220, 274, 1070, 645, 3672, 769, 19837, 550, 281, 15190, 15066, 9524, 1734, 2986, 17813, 1656, 15213, 267, 476, 6977, 271, 268, 4489, 271, 630, 29662, 758, 338, 476, 1220, 277, 1070, 32641, 2201, 634, 16972, 8609, 281, 23830, 2986, 26913, 1656, 634, 4563, 10886, 630, 310, 11596, 476, 1220, 278, 1070, 715, 12078, 31588, 1722, 20989, 1656, 634, 15875, 7402, 3300, 630, 294, 746, 476, 1001, 272, 1070, 3624, 1656, 634, 16972, 22569, 1588, 281, 5927, 2231, 9980, 342, 1441, 630, 13528, 534, 3267, 476, 1321, 628, 267, 476, 1708, 271, 12218, 3336, 12754, 13268, 564, 26913, 267, 15213, 267, 1656, 634, 6519, 3267, 1103, 476, 5908, 276, 267, 20388, 902, 654, 550, 2201, 1677, 6583, 1501, 634, 3689, 6519, 5600, 6490, 7546, 267, 589, 2051, 1819, 2494, 779, 3816, 514, 4593, 1878, 2986, 6276, 23885, 269, 11374, 23885, 779, 3465, 19409, 267, 3416, 331, 8491, 4658, 8033, 4240, 1677, 16065, 634, 6519, 5600, 269, 3465, 6342, 3627, 2372, 514, 1097, 17566, 267, 12448, 12722, 267, 9410, 11709, 645, 675, 333, 267, 3627, 14977, 2401, 267, 6276, 918, 269, 2717, 330, 267, 1656, 2098, 778, 776, 13177, 2353, 13242, 3416, 331, 8491, 8534, 4438, 4256, 8556, 5928, 269, 10251, 267, 898, 1772, 3267, 476, 274, 628, 267, 476, 1708, 271, 3721, 338, 1677, 15213, 769, 2441, 3721, 338, 1677, 15213, 769, 2441, 8895, 520, 2103, 476, 276, 281, 272, 590, 904, 267, 968, 2005, 1772, 1280, 15213, 2334, 2441, 13201, 5590, 2974, 5131, 269, 5776, 674, 3305, 267, 3973, 267, 1656, 1684, 3502, 2913, 2659, 2383, 2142, 645, 6324, 2989, 11088, 1635, 589, 962, 5803, 2986, 26913, 1848, 1403, 1411, 5620, 1234, 18727, 2441, 1306, 2659, 14205, 1640, 267, 1261, 13201, 1325, 2819, 5590, 1411, 5131, 3414, 3571, 7861, 800, 3683, 16429, 1656, 12280, 2201, 634, 9061, 269, 634, 7726, 1772, 281, 3657, 1411, 12389, 3267, 476, 2190, 628, 267, 476, 1708, 271, 563, 12606, 634, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 3267, 763, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 700, 1478, 6468, 15434, 557, 661, 1504, 269, 8281, 634, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 700, 1478, 6468, 15434, 557, 7300, 3367, 634, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 700, 1478, 6468, 15434, 557, 7300, 5113, 634, 3163, 19992, 634, 12267, 476, 274, 6113, 9990, 267, 14559, 5295, 589, 10414, 1280, 15213, 2107, 26913, 267, 24434, 344, 476, 1724, 628, 267, 476, 1708, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 418, 489, 379, 27962, 18998, 418, 378, 367, 418, 368, 366, 419, 511, 487, 419, 499, 503, 27730, 419, 481, 511, 25426, 357, 17295, 364, 7511, 27730, 13200, 509, 418, 493, 494, 28032, 505, 4970, 497, 4970, 504, 7511, 27730, 10951, 363, 10951, 491, 20693, 350, 8147, 25060, 483, 418, 489, 361, 12916, 484, 21251, 30522, 494, 30678, 13625, 28786, 19540, 503, 8147, 10112, 9892, 28786, 19540, 503, 8147, 291, 1170, 10488, 28786, 19540, 503, 8147, 27751, 28786, 19540, 503, 8147, 16533, 493, 14756, 482, 30853, 4970, 504, 28786, 19540, 503, 8147, 3682, 27760, 28786, 19540, 503, 8147, 26261, 28786, 19540, 503, 8147, 303, 19948, 28786, 19540, 503, 8147, 18777, 350, 28997, 501, 10951, 374, 30853, 4970, 504, 28786, 19540, 503, 8147, 18777, 374, 24757, 32517, 362, 418, 498, 373, 25520, 418, 370, 355, 420, 487, 366, 8147, 419, 377, 495, 13644, 378, 28786, 417, 479, 504, 8147, 1410, 600, 28786, 26033, 481, 419, 511, 487, 419, 511, 487, 12486, 19540, 503, 30853, 420, 490, 481, 18713, 368, 418, 370, 369, 25203, 500, 421, 360, 502, 18809, 8147, 10951, 361, 26175, 495, 8147, 419, 510, 498, 419, 358, 370, 13200, 509, 419, 511, 487, 418, 369, 371, 14035, 500, 419, 499, 503, 27730, 10429, 357, 421, 502, 370, 418, 362, 369, 8147, 20001, 494, 16533, 482, 19404, 495, 420, 508, 491, 8147, 14756, 493, 418, 369, 492, 27730, 8147, 25263, 504, 18777, 350, 27730, 8147, 14395, 350, 18777, 350, 27730, 8147, 28997, 350, 419, 494, 484, 27730, 419, 511, 487, 10429, 357, 419, 494, 481, 4200, 260, 4970, 497, 4970, 504, 26175, 495, 25203, 362, 12486, 19540, 503, 30853, 18713, 351, 421, 502, 509, 20721, 351, 20069, 4970, 497, 4970, 504, 420, 489, 365, 13644, 511, 30006, 491, 13644, 511, 30853, 26033, 483, 8147, 18263, 509, 20069, 418, 369, 371, 14035, 500, 12571, 491, 21550, 350, 419, 350, 499, 22287, 504, 419, 499, 503, 27730, 13200, 509, 8147, 30006, 493, 12916, 491, 19540, 503, 30853, 26033, 479, 27747, 486, 421, 25693, 418, 489, 354, 20069, 13213, 485, 419, 350, 361, 7511, 13644, 511, 420, 357, 478, 420, 25693, 20693, 505, 8147, 4970, 497, 4970, 504, 7511, 27730, 26175, 495, 420, 481, 490, 418, 503, 363, 25520, 27730, 10951, 363, 19540, 503, 30853, 14756, 493, 421, 359, 490, 12486, 16043, 495, 10524, 361, 19867, 379, 13644, 374, 1911, 260, 31308, 509, 10254, 505, 8147, 1911, 260, 4970, 497, 4970, 504, 8147, 1911, 260, 16583, 484, 28793, 8147, 1911, 260, 418, 375, 350, 418, 482, 493, 12486, 692, 1012, 30731, 28786, 19540, 503, 692, 21316, 25278, 476, 15159, 13601, 26175, 491, 17958, 30678, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 7511, 421, 360, 502, 26233, 356, 420, 25693, 13644, 511, 420, 357, 478, 12486, 14395, 481, 16533, 484, 18777, 350, 28997, 501, 18998, 23746, 25335, 484, 25060, 500, 25520, 419, 376, 500, 31801, 489, 421, 505, 484, 29873, 21928, 22047, 13107, 497, 30678, 12916, 379, 17958, 7511, 27064, 363, 417, 351, 481, 18809, 8147, 10429, 370, 18809, 25426, 362, 30903, 502, 25520, 25335, 352, 19540, 367, 25913, 418, 350, 486, 23284, 419, 484, 509, 418, 480, 487, 7511, 12255, 27730, 31033, 9463, 371, 23989, 419, 353, 374, 12486, 10429, 372, 417, 508, 489, 17958, 20881, 498, 25060, 483, 418, 489, 361, 16088, 12255, 27730, 25520, 18777, 350, 28997, 501, 28997, 501, 25622, 19764, 478, 9463, 495, 417, 375, 374, 418, 357, 350, 18998, 10524, 379, 419, 506, 509, 25520, 31308, 509, 417, 508, 489, 10254, 370, 30853, 12255, 29004, 362, 26166, 22909, 494, 18998, 26406, 351, 27381, 351, 25520, 23746, 25335, 484, 25060, 500, 26175, 495, 27730, 25520, 26266, 354, 31801, 489, 18713, 378, 25051, 351, 18021, 498, 17958, 31801, 489, 31365, 19764, 478, 9463, 495, 8147, 25060, 483, 418, 489, 361, 18713, 378, 25051, 351, 17958, 16043, 371, 419, 499, 490, 30837, 351, 22909, 482, 417, 375, 374, 21316, 25278, 476, 15159, 22047, 11590, 353, 11590, 496, 19764, 493, 419, 367, 375, 14756, 509, 8147, 10429, 370, 417, 509, 374, 10951, 361, 12255, 29004, 362, 30317, 27381, 510, 15159, 22047, 21251, 421, 506, 478, 28884, 14756, 368, 18021, 355, 7511, 12255, 14756, 482, 12486, 30244, 12916, 379, 418, 480, 357, 23746, 23284, 25335, 352, 19540, 367, 18777, 372, 14035, 504, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 25426, 362, 30903, 502, 8147, 16533, 353, 10429, 370, 15159, 421, 480, 352, 11590, 505, 10429, 371, 20069, 419, 509, 358, 421, 502, 369, 25520, 12571, 495, 19404, 493, 10429, 361, 19764, 493, 7511, 25426, 362, 30903, 502, 8147, 26033, 490, 9463, 359, 421, 506, 478, 17958, 595, 476, 16043, 500, 10783, 3757, 22614, 511, 487, 21550, 485, 19404, 493, 30837, 508, 11590, 353, 11590, 496, 19764, 493, 13644, 511, 420, 357, 478, 419, 376, 500, 19540, 503, 31801, 489, 31365, 19867, 478, 421, 506, 478, 7511, 28793, 25426, 368, 7511, 13601, 16533, 493, 421, 481, 357, 26166, 12486, 21316, 25278, 476, 12571, 491, 26175, 364, 28786, 23989, 419, 509, 358, 421, 502, 369, 14395, 508, 421, 359, 490, 14395, 353, 12486, 21316, 25278, 476, 31006, 10254, 507, 7511, 419, 376, 500, 19540, 503, 25203, 362, 7511, 15159, 418, 493, 494, 28032, 505, 28098, 13200, 365, 700, 2562, 303, 19272, 13127, 23687, 661, 3041, 303, 19272, 28859, 350, 373, 25203, 362, 19764, 478, 9463, 495, 7511, 419, 509, 358, 421, 502, 369, 420, 377, 363, 10524, 370, 7511, 420, 377, 375, 23521, 378, 18777, 379, 25426, 362, 8147, 30244, 4970, 353, 14748, 421, 350, 373, 25203, 362, 10429, 365, 12571, 490, 28786, 23989, 29072, 419, 509, 358, 421, 502, 369, 18777, 350, 28997, 501, 420, 377, 363, 10524, 370, 7511, 31006, 13161, 364, 418, 488, 478, 10951, 363, 12486, 21316, 25278, 476, 14756, 493, 13213, 485, 14035, 504, 23946, 368, 7511, 9463, 495, 31271, 499, 8147, 23523, 501, 28996, 29072, 18777, 372, 14035, 504, 17958, 16043, 371, 7511, 418, 488, 499, 24662, 12486, 21928, 27962, 27730, 27064, 363, 417, 351, 481, 18809, 8147, 14395, 481, 15159, 12255, 27730, 18998, 26266, 354, 31801, 489, 25520, 26175, 495, 27730, 24662, 25426, 357, 25520, 421, 360, 502, 419, 374, 356, 13644, 378, 31801, 489, 7511, 21550, 485, 16583, 484, 10533, 503, 27730, 26266, 354, 10429, 371, 12486, 21928, 26266, 354, 4970, 504, 30903, 484, 417, 509, 509, 8147, 21316, 25278, 476, 15159, 421, 360, 502, 10533, 486, 419, 510, 498, 419, 358, 370, 18998, 19764, 478, 9463, 495, 25520, 26166, 22909, 494, 7511, 421, 355, 500, 20881, 487, 26266, 354, 10429, 371, 12486, 21316, 25278, 476, 10429, 371, 20069, 13601, 419, 367, 375, 28578, 26175, 364, 20992, 26266, 354, 10429, 371, 28997, 365, 7511, 29830, 373, 27936, 30678, 18021, 498, 17958, 31801, 489, 31365, 7511, 25335, 352, 19540, 367, 25913, 418, 350, 486, 12486, 28098, 30678, 27962, 14035, 504, 12255, 30731, 476, 17958, 16043, 371, 23521, 354, 13644, 368, 30837, 508, 27747, 372, 19404, 491, 28884, 8147, 26266, 354, 10429, 371, 28997, 365, 10429, 479, 18777, 372, 418, 480, 357, 27730, 18263, 510, 18021, 498, 17958, 4970, 497, 4970, 504, 418, 488, 478, 10951, 363, 12486, 26266, 354, 10429, 371, 28997, 365, 15159, 30731, 13127, 485, 30936, 27818, 300, 476, 24757, 10524, 370, 24724, 7511, 14756, 376, 12571, 486, 421, 505, 484, 12571, 486, 8147, 23746, 19867, 358, 31271, 499, 30731, 22614, 492, 363, 417, 351, 481, 23284, 25335, 352, 19540, 367, 29830, 373, 27936, 32352, 10254, 360, 7511, 25426, 362, 30903, 502, 12486, 23746, 17958, 26266, 354, 10429, 371, 28997, 365, 7511, 30903, 484, 417, 509, 509, 25060, 483, 418, 489, 361, 32517, 350, 9463, 371, 14035, 482, 419, 494, 484, 18998, 26406, 356, 10254, 370, 419, 367, 375, 14756, 509, 18998, 419, 354, 508, 14756, 493, 419, 377, 495, 14756, 506, 18998, 418, 357, 350, 419, 367, 488, 20881, 375, 20001, 495, 18998, 16533, 493, 21796, 351, 18998, 10524, 379, 419, 506, 509, 419, 511, 487, 12486, 0, 25820, 607, 1970, 607, 8096, 4510, 280, 280, 1923, 6258, 547, 1628, 2688, 1804, 1893, 2203, 3156, 692, 8368, 540, 12474, 692, 7659, 8579, 14778, 609, 1483, 3734, 7653, 692, 20103, 476, 278, 267, 476, 1708, 273, 692, 21809, 6750, 14778, 948, 721, 1174, 513, 1966, 1732, 676, 26471, 513, 2039, 540, 2009, 2418, 547, 519, 4632, 267, 1818, 873, 1360, 3730, 538, 1239, 2257, 543, 3684, 1565, 269, 3371, 616, 476, 277, 2010, 540, 14778, 609, 16022, 1806, 602, 1419, 2049, 538, 1483, 3734, 1239, 780, 1103, 7194, 267, 513, 3892, 568, 3274, 513, 1259, 547, 1174, 875, 513, 1305, 540, 1239, 2798, 616, 3262, 936, 930, 2016, 2039, 540, 2418, 780, 2690, 1383, 267, 3892, 3217, 1747, 950, 519, 21471, 543, 519, 16073, 3858, 547, 6133, 519, 1587, 1282, 513, 1808, 942, 7406, 269, 901, 1106, 540, 3892, 568, 17820, 676, 519, 6876, 6603, 1063, 11197, 543, 11083, 261, 307, 547, 15814, 741, 2472, 538, 519, 2136, 2276, 780, 15650, 540, 8579, 14778, 692, 2467, 616, 1896, 8579, 14778, 267, 1142, 8204, 1114, 2010, 540, 1239, 543, 7674, 1114, 5301, 269, 3371, 649, 786, 3382, 1896, 4122, 1031, 14778, 780, 272, 269, 16453, 17392, 454, 273, 269, 512, 5937, 626, 9084, 454, 274, 269, 23642, 6706, 17392, 454, 275, 269, 7313, 24480, 17392, 454, 276, 269, 31538, 17392, 692, 3682, 2389, 760, 281, 2037, 2651, 538, 519, 1239, 2257, 18849, 322, 2086, 2221, 543, 4434, 707, 1565, 692, 272, 269, 16453, 17392, 692, 288, 3339, 3892, 849, 1634, 607, 968, 294, 320, 11701, 17392, 892, 2982, 519, 5506, 5860, 585, 513, 2551, 540, 6024, 1239, 630, 1721, 1383, 4463, 538, 4699, 585, 782, 715, 10621, 5716, 1040, 4746, 267, 621, 6920, 519, 10171, 602, 1022, 715, 10621, 6345, 786, 723, 513, 1880, 4463, 269, 2913, 779, 2161, 7864, 5716, 616, 1454, 26339, 610, 10156, 982, 8912, 282, 1034, 616, 2673, 547, 3328, 4463, 780, 763, 3262, 540, 519, 2418, 538, 938, 2551, 568, 6027, 1210, 513, 11973, 1572, 3044, 11539, 269, 634, 2506, 2869, 673, 14329, 6645, 721, 602, 1384, 1892, 476, 6924, 269, 274, 260, 540, 519, 2418, 786, 2887, 1063, 272, 3044, 11539, 1657, 543, 2630, 519, 1611, 454, 1892, 476, 4817, 269, 276, 260, 540, 519, 2418, 786, 2887, 1063, 273, 3044, 24017, 1657, 543, 2630, 519, 1611, 454, 1892, 476, 4200, 269, 278, 260, 540, 519, 2418, 786, 2887, 1063, 274, 3044, 24017, 1657, 543, 2630, 519, 1611, 692, 4131, 779, 8263, 602, 649, 917, 602, 519, 1611, 4463, 540, 782, 5716, 538, 519, 715, 10621, 568, 476, 1220, 9492, 543, 519, 3044, 11539, 568, 476, 278, 9492, 269, 1403, 2274, 17588, 6276, 568, 476, 18684, 4699, 7381, 267, 1018, 8167, 540, 715, 10621, 5716, 568, 646, 26339, 982, 286, 1284, 666, 4137, 713, 856, 256, 2274, 289, 1258, 568, 476, 277, 9492, 26339, 982, 519, 1611, 630, 18684, 9492, 1107, 476, 1220, 9492, 1040, 4595, 519, 3044, 11539, 568, 476, 278, 9492, 267, 646, 568, 476, 271, 269, 10436, 3044, 24017, 630, 277, 9492, 1315, 476, 278, 9492, 264, 1657, 519, 1611, 780, 5978, 1871, 540, 476, 271, 269, 10436, 3044, 24017, 568, 1572, 519, 1990, 1606, 14537, 269, 901, 2982, 602, 6276, 568, 26339, 982, 476, 3199, 269, 276, 260, 540, 5716, 538, 519, 715, 10621, 2439, 1607, 666, 581, 10736, 547, 513, 30878, 1210, 519, 5506, 5860, 1599, 630, 528, 513, 1413, 5346, 3349, 264, 4758, 721, 938, 2626, 269, 589, 1109, 22238, 1464, 5860, 1599, 630, 14457, 264, 11225, 519, 4351, 4756, 779, 5506, 540, 4947, 1369, 513, 3982, 2039, 540, 2418, 780, 273, 269, 512, 1673, 626, 9084, 692, 288, 512, 1673, 626, 9084, 568, 27101, 1472, 519, 1611, 267, 899, 513, 3339, 3892, 267, 543, 922, 4560, 568, 5462, 676, 519, 13065, 540, 519, 1239, 269, 589, 512, 1673, 626, 9084, 568, 1500, 585, 6381, 1141, 519, 3732, 2450, 568, 3908, 267, 855, 513, 3339, 3892, 1568, 609, 513, 2551, 269, 2060, 513, 4130, 3732, 2450, 267, 519, 512, 1673, 626, 9084, 3217, 593, 513, 6626, 2039, 547, 2272, 585, 519, 2799, 1377, 540, 10462, 780, 763, 1297, 540, 5232, 540, 5191, 267, 799, 568, 5462, 676, 12270, 519, 3732, 2450, 676, 835, 267, 11887, 519, 7455, 540, 513, 512, 1673, 626, 9084, 269, 634, 512, 1673, 626, 9084, 11148, 547, 18613, 513, 3339, 3892, 607, 3732, 2450, 543, 5232, 540, 5191, 2333, 1317, 513, 8273, 3732, 2450, 4679, 938, 6015, 538, 21501, 519, 5817, 2551, 7194, 780, 2690, 1383, 267, 15475, 649, 4308, 609, 519, 2698, 1297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 749, 514, 11911, 519, 9019, 2557, 1851, 1126, 24481, 543, 2022, 31691, 11299, 547, 519, 17732, 540, 4274, 4571, 342, 1161, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 269, 968, 3891, 10645, 602, 519, 2482, 4571, 342, 1161, 941, 1419, 11361, 2021, 609, 1100, 824, 1797, 540, 17612, 269, 1358, 13603, 909, 741, 1983, 676, 12419, 519, 9002, 540, 519, 4057, 585, 1100, 5279, 610, 513, 8766, 13927, 269, 1879, 789, 5249, 741, 1259, 909, 547, 1647, 5035, 5321, 267, 1776, 30497, 1131, 7390, 547, 519, 4057, 267, 1141, 789, 1131, 979, 689, 4807, 547, 4807, 1510, 11067, 741, 3946, 269, 634, 1007, 11299, 941, 16053, 538, 519, 2629, 2395, 1739, 27638, 2223, 1352, 3081, 16638, 476, 5002, 279, 267, 1310, 519, 6765, 540, 519, 962, 749, 1231, 685, 21836, 1126, 267, 13259, 340, 9366, 267, 676, 4274, 4571, 342, 1057, 19257, 3554, 962, 6308, 327, 13403, 267, 898, 320, 9053, 14468, 4571, 342, 1161, 5861, 1068, 1881, 4571, 342, 1161, 2356, 6594, 4571, 342, 604, 2044, 538, 21499, 543, 7444, 8719, 519, 2482, 4571, 342, 1161, 269, 634, 26442, 7806, 27850, 574, 5980, 540, 808, 3530, 320, 9333, 809, 547, 4217, 519, 13243, 2021, 676, 9878, 519, 4274, 4571, 342, 1161, 6993, 8434, 16159, 28741, 24297, 590, 345, 1245, 10272, 13243, 538, 476, 4489, 271, 269, 4173, 8710, 693, 519, 3668, 540, 1072, 2533, 3366, 547, 519, 15713, 538, 476, 4489, 273, 540, 606, 1977, 3084, 2021, 779, 27098, 626, 3919, 547, 4163, 856, 4052, 3785, 547, 2087, 519, 3510, 538, 661, 4958, 345, 962, 529, 5361, 269, 21231, 1634, 607, 519, 667, 18805, 540, 27098, 267, 621, 2968, 16874, 817, 1695, 6468, 779, 9257, 16638, 476, 4489, 274, 1079, 1977, 1857, 1072, 11923, 267, 14986, 18087, 17839, 543, 24981, 8092, 344, 267, 941, 2366, 547, 13243, 593, 15773, 540, 667, 18805, 540, 27098, 547, 948, 12115, 11299, 543, 9002, 31422, 29670, 538, 513, 1507, 2777, 1851, 519, 4057, 540, 2725, 320, 2701, 685, 541, 574, 267, 789, 3323, 2324, 538, 9316, 609, 824, 1072, 3906, 543, 4966, 899, 3220, 269, 570, 747, 334, 779, 3750, 16758, 267, 519, 681, 16251, 18876, 11233, 630, 1729, 1831, 16874, 817, 1695, 11233, 1070, 519, 30854, 584, 4659, 543, 12963, 1014, 3220, 269, 4477, 6511, 918, 12298, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 7868, 12355, 6468, 779, 9257, 8678, 4229, 609, 16874, 817, 1695, 6468, 547, 1463, 2200, 547, 1416, 585, 519, 3993, 543, 1200, 20169, 269, 10312, 729, 593, 9176, 2021, 945, 941, 26997, 547, 979, 547, 16874, 817, 1695, 13500, 585, 948, 543, 5583, 269, 1358, 21787, 519, 9409, 3750, 267, 5156, 15555, 1819, 16897, 2984, 827, 13500, 543, 15653, 20604, 12256, 1317, 789, 5156, 602, 519, 1434, 3112, 581, 6027, 31422, 2691, 2021, 6368, 22848, 877, 741, 4145, 543, 4682, 547, 519, 6413, 267, 789, 941, 2366, 1753, 1813, 547, 519, 17732, 540, 15135, 267, 799, 941, 10710, 585, 2352, 2665, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 16638, 476, 4572, 272, 267, 13243, 729, 5258, 883, 476, 1321, 13102, 269, 589, 4807, 538, 4359, 6379, 729, 13886, 547, 2638, 5725, 543, 513, 2777, 1289, 540, 513, 10629, 267, 945, 4956, 2436, 610, 711, 1352, 1058, 2285, 4332, 693, 1753, 269, 1403, 1352, 2877, 5571, 2564, 2126, 267, 519, 10629, 1131, 2285, 1200, 513, 3556, 585, 16153, 339, 766, 547, 519, 6413, 267, 799, 1131, 711, 3398, 791, 1478, 1639, 2021, 269, 11374, 27638, 267, 891, 2021, 1131, 581, 10272, 3232, 676, 4571, 342, 1161, 585, 513, 3018, 267, 950, 789, 941, 1034, 693, 1981, 269, 16874, 817, 1695, 6468, 3576, 1416, 540, 519, 2564, 6351, 267, 1247, 519, 12355, 6468, 10443, 519, 7622, 1282, 519, 1007, 3993, 779, 973, 10967, 566, 7868, 1985, 5692, 729, 1416, 585, 519, 20169, 269, 8307, 30564, 12963, 2103, 941, 17101, 547, 2285, 5528, 593, 1697, 4816, 1416, 267, 855, 32036, 4765, 10506, 15286, 11299, 689, 2469, 972, 269, 898, 729, 4061, 4956, 547, 3715, 10473, 1141, 11299, 1223, 4309, 2027, 2866, 31422, 763, 2012, 568, 17785, 520, 16199, 822, 1496, 2108, 320, 6749, 540, 5144, 892, 3910, 855, 519, 2856, 3297, 621, 568, 2069, 543, 6604, 2223, 3081, 7225, 603, 6008, 10719, 6363, 516, 644, 267, 945, 6039, 607, 519, 8689, 540, 519, 670, 269, 590, 345, 1245, 16874, 817, 1695, 12355, 2160, 3427, 540, 16711, 689, 476, 3422, 279, 547, 476, 2735, 274, 269, 968, 7197, 540, 519, 4052, 960, 540, 519, 11923, 538, 16874, 817, 1695, 779, 8808, 1153, 538, 922, 1101, 1296, 729, 607, 2146, 11923, 269, 16874, 817, 1695, 779, 17785, 520, 16199, 822, 19190, 941, 8118, 2429, 5840, 1848, 2026, 513, 1762, 12016, 538, 519, 476, 3707, 271, 338, 267, 6008, 10719, 268, 22506, 6785, 590, 345, 1245, 543, 1977, 1857, 1072, 12016, 7137, 15925, 14924, 2006, 269, 634, 6422, 14924, 2006, 3366, 519, 6560, 585, 519, 1007, 6728, 538, 4873, 476, 4572, 272, 267, 32222, 547, 3398, 968, 7224, 892, 585, 606, 2626, 689, 11299, 26997, 547, 979, 519, 6728, 269, 2701, 2366, 543, 10288, 1200, 11923, 547, 5418, 611, 547, 11299, 693, 1753, 281, 968, 2252, 789, 1810, 1406, 1577, 596, 538, 519, 4395, 7450, 267, 979, 538, 519, 1394, 7450, 269, 1656, 952, 789, 1810, 1406, 1577, 596, 538, 519, 1394, 7450, 267, 979, 998, 519, 6885, 269, 1809, 1205, 538, 17373, 14924, 2006, 779, 2709, 540, 1863, 2482, 22863, 543, 13594, 28962, 4542, 5144, 729, 19585, 593, 11299, 4758, 4332, 693, 681, 16251, 18876, 11233, 269, 2701, 1131, 1287, 18609, 873, 547, 3643, 519, 6728, 547, 2333, 741, 9002, 685, 8458, 540, 6668, 11482, 1343, 2006, 779, 3646, 9863, 3811, 269, 4438, 476, 4572, 274, 267, 11923, 9411, 689, 519, 4395, 7450, 543, 15695, 11299, 593, 4816, 23611, 7041, 543, 12104, 3130, 2529, 1550, 1082, 11299, 941, 8572, 547, 12016, 267, 13594, 28962, 5144, 729, 3812, 693, 519, 6196, 4975, 6728, 269, 634, 2504, 729, 7620, 7307, 676, 7579, 320, 21125, 267, 543, 1287, 519, 12355, 6468, 3576, 936, 31422, 300, 1278, 338, 4947, 547, 519, 6728, 585, 519, 1101, 942, 4607, 513, 10516, 540, 513, 17646, 8708, 2223, 4967, 623, 1731, 601, 19053, 629, 926, 269, 968, 2750, 1061, 585, 519, 5393, 4057, 267, 1034, 11299, 6976, 513, 18351, 13927, 585, 519, 5144, 267, 2094, 519, 5234, 4941, 547, 6521, 519, 5539, 540, 12391, 585, 519, 1126, 547, 519, 3237, 1848, 303, 8824, 1014, 3220, 269, 4477, 6511, 918, 12298, 8067, 1229, 693, 519, 6728, 267, 4051, 532, 2503, 656, 6259, 543, 6014, 2021, 543, 1007, 11299, 593, 1126, 1416, 547, 2539, 519, 9019, 2557, 269, 17785, 520, 16199, 822, 779, 2533, 9450, 547, 7802, 12256, 269, 634, 14266, 2882, 513, 476, 4572, 279, 4670, 676, 962, 320, 685, 659, 990, 5484, 5937, 990, 267, 799, 2982, 2021, 689, 519, 6196, 4975, 17785, 520, 16199, 822, 6728, 22927, 1019, 3639, 585, 29507, 269, 10287, 5346, 593, 519, 10867, 779, 1646, 729, 2944, 909, 547, 519, 2085, 540, 2185, 269, 3973, 17785, 520, 16199, 822, 10473, 9976, 21846, 6520, 24583, 3000, 625, 267, 16287, 519, 5912, 689, 17785, 520, 16199, 822, 6392, 547, 519, 12963, 1014, 269, 2060, 1153, 720, 1453, 267, 519, 17785, 520, 16199, 822, 5234, 10692, 911, 577, 5448, 543, 8258, 11988, 543, 1128, 2683, 519, 3741, 540, 5711, 9882, 269, 4002, 4159, 538, 519, 14266, 616, 1079, 17785, 520, 16199, 822, 12016, 31119, 689, 519, 20562, 515, 517, 540, 3084, 22082, 31119, 2442, 538, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 31422, 31738, 520, 16199, 822, 5796, 19443, 538, 7598, 519, 27098, 626, 5326, 540, 2870, 513, 1007, 1268, 1107, 2635, 538, 6891, 543, 1560, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 269, 30719, 267, 851, 540, 519, 30222, 1184, 267, 3238, 513, 1689, 538, 519, 2168, 543, 5289, 1915, 540, 519, 1007, 4035, 543, 519, 5137, 540, 519, 17939, 571, 10828, 1848, 2108, 9213, 779, 4395, 4536, 585, 17785, 520, 16199, 822, 616, 519, 2048, 2908, 24896, 16224, 892, 3081, 3220, 269, 23436, 11676, 514, 267, 2212, 540, 519, 2657, 12080, 779, 4972, 540, 631, 11189, 267, 4132, 543, 32183, 2657, 269, 968, 1607, 2882, 4758, 1489, 543, 13508, 547, 3895, 10867, 543, 2038, 1126, 1646, 267, 7114, 11095, 9659, 282, 4758, 1489, 547, 11299, 543, 18971, 585, 10867, 1790, 1861, 5872, 543, 7114, 1346, 945, 991, 6351, 282, 5009, 2635, 19824, 543, 7303, 8377, 1848, 288, 16346, 540, 2022, 31691, 4965, 630, 303, 11520, 1070, 835, 540, 519, 1034, 1271, 2175, 602, 28148, 1860, 14774, 268, 10867, 5872, 267, 568, 2810, 269, 968, 301, 2720, 525, 543, 13500, 4309, 2866, 547, 2697, 623, 11520, 2223, 3081, 11676, 514, 269, 968, 2171, 798, 711, 4867, 723, 16601, 9584, 585, 713, 4524, 855, 616, 2324, 547, 2087, 938, 8446, 543, 1489, 540, 713, 782, 1932, 1455, 2783, 1848, 4407, 538, 519, 2038, 1296, 540, 17785, 520, 16199, 822, 267, 13594, 28962, 5144, 729, 519, 1883, 547, 12256, 685, 1072, 267, 2221, 519, 1489, 540, 8808, 568, 2810, 269, 968, 31738, 520, 16199, 822, 2898, 27329, 569, 7028, 20418, 2223, 3081, 11676, 514, 269, 968, 1103, 519, 2250, 8717, 649, 723, 2944, 1454, 547, 2333, 543, 2087, 938, 1489, 585, 713, 269, 2353, 17785, 520, 16199, 822, 11923, 4309, 2866, 538, 5009, 543, 5885, 20418, 269, 1284, 723, 1128, 21114, 2048, 333, 2720, 532, 15174, 685, 538, 519, 19190, 269, 634, 1857, 1072, 3028, 814, 5063, 13175, 547, 3895, 20418, 325, 7037, 9036, 538, 519, 1857, 5823, 1848, 763, 968, 288, 29100, 540, 22447, 892, 14266, 568, 593, 4159, 693, 519, 21469, 18087, 17839, 6196, 962, 880, 12320, 7040, 7467, 267, 1234, 327, 990, 2107, 670, 1695, 2727, 476, 279, 267, 6014, 22588, 2394, 2904, 269, 20052, 281, 476, 277, 2767, 268, 277, 4029, 280, 454, 12534, 733, 815, 2387, 14294, 909, 585, 634, 13243, 5403, 20031, 1756, 9578, 585, 1175, 1269, 276, 454, 10000, 14079, 707, 2542, 1995, 609, 606, 740, 6954, 1604, 543, 12600, 1543, 0, 3528, 12561, 519, 3864, 5682, 20958, 267, 18202, 856, 538, 3735, 476, 1001, 280, 267, 519, 3864, 8189, 814, 10294, 922, 9837, 547, 723, 519, 2910, 273, 5434, 540, 519, 3864, 5742, 4389, 676, 1100, 1447, 982, 476, 4649, 260, 676, 476, 10711, 271, 267, 543, 547, 1118, 519, 9167, 2916, 16250, 23018, 676, 519, 1032, 476, 13078, 271, 269, 634, 3864, 8693, 4521, 602, 729, 7550, 538, 12343, 267, 4947, 883, 1198, 593, 5147, 476, 3066, 628, 267, 476, 1708, 272, 267, 814, 11506, 1346, 3853, 883, 11006, 3656, 13800, 585, 782, 16588, 2276, 563, 288, 7986, 1747, 538, 519, 3864, 1232, 12365, 1436, 4640, 568, 28286, 1540, 547, 519, 865, 10777, 2048, 13582, 630, 30236, 264, 7250, 8730, 519, 7250, 602, 568, 6383, 998, 14793, 3974, 1210, 7791, 1648, 267, 1510, 1022, 3327, 8166, 1373, 19501, 538, 519, 1184, 269, 6270, 7250, 666, 581, 1031, 607, 606, 3403, 6151, 1570, 267, 607, 4492, 610, 606, 1648, 15298, 610, 513, 1106, 540, 1648, 4859, 282, 19962, 547, 922, 4642, 2910, 273, 12998, 3601, 267, 713, 2306, 621, 606, 5393, 10694, 10682, 585, 8093, 10173, 538, 2872, 267, 3560, 267, 1379, 5108, 543, 8022, 563, 272, 269, 3864, 5742, 454, 763, 1101, 6101, 3561, 547, 2649, 1947, 5750, 519, 31387, 547, 2679, 2342, 779, 7250, 2872, 814, 1044, 519, 476, 1708, 271, 25756, 15613, 585, 513, 2916, 16250, 23018, 2342, 269, 634, 15613, 6663, 547, 7930, 1711, 267, 676, 519, 1032, 476, 13078, 271, 267, 513, 3864, 4346, 1759, 7357, 593, 519, 5108, 543, 946, 540, 7250, 269, 769, 13287, 540, 519, 3853, 1305, 538, 602, 2796, 267, 519, 3864, 8189, 814, 17298, 513, 1297, 540, 7341, 563, 763, 968, 293, 527, 585, 476, 4649, 892, 10189, 267, 5189, 538, 5147, 476, 1708, 272, 267, 568, 513, 1305, 540, 18747, 585, 2847, 2358, 543, 21130, 519, 9167, 9086, 267, 1247, 10962, 1007, 7341, 547, 1118, 2386, 602, 519, 9167, 4507, 616, 538, 1899, 609, 519, 2916, 3853, 8815, 676, 519, 7027, 543, 519, 3864, 12057, 269, 7324, 519, 22204, 538, 968, 293, 527, 585, 476, 4649, 892, 568, 513, 5094, 2048, 22134, 4088, 543, 1232, 12365, 1242, 3154, 2344, 10189, 8730, 16922, 540, 513, 7939, 543, 513, 1463, 633, 18413, 1524, 1455, 3652, 6322, 693, 9591, 519, 9431, 5943, 585, 513, 7463, 7250, 5989, 543, 6990, 543, 7471, 3060, 4058, 563, 763, 7939, 786, 6338, 513, 1305, 540, 3652, 585, 3444, 31215 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3664, 543, 711, 593, 3853, 269, 5213, 1405, 1491, 1250, 2262, 1498, 267, 594, 6415, 2469, 676, 1018, 930, 18560, 5143, 2483, 6246, 269, 12693, 5333, 5288, 3162, 9705, 692, 296, 6415, 7168, 2386, 602, 519, 2034, 835, 729, 538, 563, 4510, 269, 12693, 3162, 9705, 5288, 570, 690, 334, 692, 273, 547, 476, 272, 585, 9705, 693, 476, 3583, 3764, 2336, 3393, 269, 12693, 21668, 4515, 525, 542, 1023, 543, 4841, 780, 296, 6415, 2469, 547, 6280, 1985, 1032, 607, 513, 2489, 2979, 2875, 269, 2991, 1250, 1101, 1032, 267, 23248, 594, 3513, 917, 952, 1775, 899, 2979, 610, 6323, 1732, 543, 1205, 513, 4110, 538, 602, 563, 5379, 269, 12693, 4033, 1109, 19675, 594, 28161, 513, 4223, 11490, 1014, 2496, 20756, 2979, 342, 517, 330, 267, 1131, 596, 2247, 3257, 513, 2370, 6476, 1063, 6986, 2979, 543, 4294, 2979, 286, 1306, 538, 519, 2010, 540, 5049, 596, 3513, 1491, 538, 1142, 2101, 267, 741, 3604, 267, 1018, 596, 666, 798, 609, 1142, 4110, 267, 3092, 594, 993, 4358, 1250, 15938, 2090, 538, 5181, 269, 2755, 594, 1810, 1405, 723, 547, 6430, 593, 1250, 2483, 5325, 269, 12693, 1621, 306, 857, 7711, 772, 1993, 307, 2439, 32452, 267, 7249, 337, 1846, 256, 898, 781, 9277, 547, 581, 2481, 333, 2282, 7543, 547, 1205, 7608, 883, 602, 780, 322, 784, 337, 1846, 812, 454, 5392, 269, 12693, 1215, 1082, 540, 596, 723, 711, 1185, 513, 536, 325, 610, 575, 325, 2496, 298, 25475, 899, 6952, 268, 2420, 585, 803, 269, 594, 1745, 899, 594, 3668, 7850, 1995, 547, 1935, 6690, 602, 594, 6415, 13631, 547, 267, 855, 693, 519, 1482, 942, 267, 1810, 1405, 2731, 1745, 899, 621, 781, 4502, 1250, 942, 547, 2744, 1022, 1995, 609, 6690, 547, 7247, 594, 6415, 711, 13631, 547, 269, 630, 296, 666, 1405, 3494, 594, 6415, 6158, 827, 713, 593, 606, 4950, 8468, 994, 2004, 269, 12693, 1215, 1082, 540, 596, 723, 711, 1185, 513, 536, 325, 610, 575, 325, 2496, 296, 2490, 476, 866, 1985, 3923, 31386, 0, 258, 1975, 17202, 1698, 692, 20278, 513, 851, 540, 519, 12106, 593, 513, 476, 275, 269, 277, 4699, 12718, 865, 602, 519, 2627, 540, 713, 3296, 568, 476, 736, 4699, 273, 269, 14419, 519, 8953, 678, 540, 519, 12106, 689, 799, 519, 20085, 1698, 729, 2759, 780, 4910, 738, 692, 341, 815, 476, 1109, 272, 269, 29575, 4699, 454, 337, 815, 476, 1109, 273, 269, 6924, 275, 4699, 692, 2971, 8827, 1384, 32306, 721, 513, 6085, 540, 1383, 543, 922, 3070, 630, 328, 4318, 269, 952, 621, 568, 1869, 10169, 15458, 1862, 17107, 6826, 519, 1101, 547, 6085, 2439, 2971, 1677, 4194, 713, 1383, 616, 2877, 891, 1702, 689, 6128, 1384, 303, 17233, 17671, 11532, 568, 519, 3490, 585, 519, 1318, 6906, 9498, 269, 6423, 849, 938, 25066, 6906, 9498, 780, 1012, 8921, 2147, 1806, 1384, 272, 269, 1975, 17202, 1698, 476, 275, 454, 1432, 568, 519, 2627, 1858, 540, 513, 20085, 1698, 267, 519, 3490, 8006, 476, 736, 544, 267, 4463, 476, 273, 269, 276, 544, 286, 12433, 1210, 4542, 563, 273, 269, 595, 32385, 10620, 454, 288, 4786, 568, 5116, 593, 513, 11282, 7470, 269, 595, 32385, 10620, 4092, 693, 630, 276, 267, 275, 264, 543, 5842, 17630, 568, 4092, 693, 11196, 1015, 267, 910, 274, 1040, 1215, 2484, 6306, 568, 595, 32385, 10620, 689, 5842, 17630, 593, 519, 4786, 286, 18471, 547, 519, 14282, 20870, 563, 274, 269, 2398, 1143, 15497, 454, 763, 1560, 15497, 540, 513, 2834, 4009, 24388, 814, 606, 5086, 540, 476, 2568, 5232, 609, 519, 3490, 267, 519, 6316, 3259, 568, 476, 1015, 4699, 269, 1548, 568, 519, 4320, 540, 519, 24388, 888, 275, 269, 4144, 6782, 1023, 693, 1318, 5086, 454, 1103, 519, 25671, 1355, 13235, 291, 713, 568, 2016, 281, 9474, 284, 1321, 9492, 7131, 284, 275, 9492, 1656, 32377, 18084, 896, 513, 1318, 5086, 269, 1548, 568, 519, 1858, 540, 713, 25671, 1355, 13235, 291, 888, 276, 269, 634, 5011, 476, 273, 454, 763, 5011, 540, 513, 25671, 1355, 616, 538, 519, 5223, 476, 273, 281, 276, 281, 279, 281, 276, 269, 634, 25671, 1355, 779, 1858, 568, 476, 25090, 269, 4855, 519, 4463, 543, 519, 15943, 540, 519, 25671, 1355, 563, 277, 269, 4855, 6724, 454, 8340, 6724, 540, 519, 5858, 538, 519, 7077, 910, 10974, 540, 4099, 543, 8953, 281, 15017, 278, 269, 700, 30224, 454, 11321, 4897, 630, 4812, 808, 264, 6013, 538, 519, 6371, 543, 12034, 519, 1283, 540, 519, 17895, 630, 4812, 570, 264, 543, 3297, 621, 519, 1283, 540, 519, 561, 30224, 630, 303, 1040, 1923, 570, 307, 1412, 347, 815, 476, 272, 269, 273, 332, 267, 1923, 26076, 1412, 347, 815, 476, 3607, 332, 267, 1923, 808, 307, 1412, 347, 815, 476, 276, 332, 269, 3057, 4897, 6013, 476, 1428, 7397, 2476, 689, 519, 4262, 630, 300, 1040, 12433, 519, 561, 30224, 3845, 689, 519, 4262, 563, 279, 269, 1772, 30801, 6906, 476, 279, 454, 2252, 519, 2557, 540, 519, 5011, 606, 568, 30801, 6906, 568, 476, 278, 281, 277, 281, 278, 267, 1265, 519, 3490, 5086, 2953, 547, 519, 14282, 4110, 563, 280, 269, 595, 762, 1286, 454, 8340, 519, 15038, 3017, 540, 519, 10814, 1286, 950, 621, 14380, 676, 476, 6858, 829, 2113, 548, 543, 519, 18052, 3259, 568, 476, 280, 1789, 544, 563, 1015, 269, 21222, 7267, 3845, 454, 763, 4155, 814, 513, 13506, 540, 476, 279, 10065, 1215, 1082, 7397, 786, 519, 4155, 4473, 593, 513, 8880, 3845, 540, 476, 6110, 332, 888, 1556, 269, 623, 850, 540, 5070, 454, 288, 1804, 18061, 540, 5070, 814, 1044, 546, 22981, 883, 513, 598, 673, 18061, 538, 513, 23999, 269, 634, 1793, 656, 4463, 540, 519, 18061, 568, 476, 736, 3952, 269, 634, 8006, 540, 519, 3490, 540, 519, 5070, 18061, 568, 476, 4029, 3952, 269, 4855, 519, 4320, 540, 519, 18061, 540, 5070, 563, 1321, 269, 9406, 6906, 454, 299, 9554, 476, 1626, 3952, 10301, 909, 476, 1691, 3952, 593, 513, 2777, 3774, 269, 634, 476, 3445, 24266, 5086, 693, 519, 3490, 540, 519, 2777, 543, 3774, 269, 1548, 616, 519, 824, 1079, 7285, 610, 519, 3259, 540, 519, 1850, 540, 519, 13452, 888, 1724, 269, 25351, 4120, 454, 2467, 568, 513, 13551, 609, 513, 3259, 540, 476, 1321, 4699, 543, 513, 15497, 476, 279, 4699, 3476, 982, 519, 8700, 269, 12433, 519, 1858, 540, 13551, 563, 1691, 269, 10222, 9771, 18158, 454, 1432, 568, 519, 4320, 540, 513, 2834, 21083, 18158, 609, 513, 2427, 476, 274, 4699, 1279, 888, 1428, 269, 918, 299, 300, 6906, 454, 8340, 519, 3259, 540, 519, 5011, 540, 519, 6906, 918, 299, 300, 952, 544, 815, 476, 276, 9492, 4463, 547, 544, 815, 476, 275, 269, 276, 4699, 543, 2450, 631, 298, 299, 5086, 568, 476, 3583, 5232, 563, 1626, 269, 11831, 3019, 543, 8115, 454, 5804, 519, 17891, 267, 799, 568, 476, 10844, 544, 1657, 519, 8115, 267, 835, 1439, 540, 519, 8115, 568, 2938, 693, 513, 3178, 5086, 540, 476, 4391, 4113, 543, 519, 2034, 1439, 693, 3178, 5086, 476, 1789, 4113, 476, 1789, 29717, 12433, 519, 3259, 540, 519, 8115, 269, 0, 258, 18281, 6844, 543, 782, 602, 269, 1627, 269, 1548, 568, 519, 6574, 6310, 4542, 2479, 2496, 1012, 19809, 593, 6249, 281, 834, 2419, 5142, 6844, 543, 782, 602, 269, 1627, 269, 1548, 568, 519, 6574, 6310, 4542, 2479, 8119, 1765, 19809, 13973, 1384, 2419, 5142, 6844, 543, 782, 602, 692, 304, 269, 1548, 568, 519, 6574, 6310, 4542, 2479, 2496, 763, 16771, 1169, 942, 634, 16771, 1169, 942, 634, 3830, 602, 5036, 519, 4154, 3044, 540, 6310, 5898, 1548, 1281, 713, 4542, 1611, 267, 543, 1946, 568, 621, 865, 1271, 2496, 763, 1297, 552, 543, 875, 1919, 1332, 1548, 1281, 476, 1911, 260, 5993, 7623, 1719, 1611, 286, 3399, 609, 11278, 1911, 267, 538, 835, 1032, 723, 11278, 1220, 267, 538, 1079, 1296, 723, 11278, 6110, 3399, 609, 11278, 343, 267, 7227, 562, 1296, 267, 1205, 11278, 344, 692, 3719, 267, 649, 1223, 11682, 17955, 519, 1719, 16505, 909, 519, 1032, 883, 631, 11996, 543, 1118, 631, 4679, 540, 630, 1911, 19072, 264, 260, 631, 284, 272, 476, 1911, 260, 2899, 11278, 1220, 631, 284, 273, 476, 2004, 260, 7466, 11278, 18597, 631, 284, 275, 476, 1839, 260, 2185, 2053, 11278, 28192, 269, 1691, 631, 284, 1015, 476, 1015, 260, 4557, 2053, 11278, 28796, 269, 4391, 631, 284, 1911, 476, 272, 260, 476, 1911, 2053, 11278, 17734, 269, 4366, 631, 284, 1911, 271, 476, 271, 269, 272, 260, 476, 1911, 271, 2053, 11278, 27244, 269, 7597, 3399, 609, 11278, 1911, 267, 875, 1454, 798, 649, 1205, 286, 1306, 631, 4991, 1360, 1804, 891, 2338, 1935, 476, 273, 269, 278, 1240, 2053, 11278, 1911, 692, 2252, 649, 10956, 713, 943, 1078, 1719, 4358, 609, 11278, 343, 585, 562, 1296, 649, 1205, 769, 2489, 519, 12825, 1599, 6645, 721, 875, 3388, 2242, 543, 9428, 267, 689, 5210, 547, 5095, 780, 267, 10580, 267, 9642, 2338, 543, 29398, 634, 16380, 6785, 602, 519, 5223, 540, 519, 18592, 547, 519, 8006, 540, 513, 5858, 568, 519, 1482, 585, 782, 10580, 5246, 574, 26433, 4951, 602, 4457, 692, 5278, 12596, 585, 14039, 2274, 30519, 6308, 25586, 10548, 534, 340, 13568, 692, 27078, 894, 2338, 543, 910, 272, 589, 2110, 1686, 540, 10203, 281, 7216, 1004, 18886, 593, 741, 11263, 14597, 602, 2576, 561, 1742, 596, 513, 10800, 269, 1809, 519, 10800, 10523, 1215, 1082, 16933, 798, 596, 723, 1631, 286, 6153, 585, 10203, 16933, 692, 268, 272, 16427, 273, 16427, 274, 16427, 275, 16427, 276, 26612, 1403, 1535, 568, 519, 1297, 540, 16933, 267, 649, 1590, 4194, 519, 3830, 1677, 4194, 713, 649, 1590, 6427, 513, 1007, 1826, 540, 1297, 267, 519, 2942, 2338, 1452, 2338, 23491, 3652, 692, 2304, 16494, 9661, 11109, 11827, 519, 2942, 2338, 267, 798, 649, 991, 1022, 811, 286, 1215, 798, 649, 4194, 519, 3830, 18023, 519, 1007, 630, 19960, 2435, 264, 1297, 1775, 13216, 1297, 692, 292, 17526, 1483, 2213, 602, 972, 729, 513, 8748, 3095, 1063, 1950, 2338, 543, 9511, 513, 266, 756, 910, 321, 266, 807, 5564, 28745, 676, 1775, 29226, 519, 546, 14414, 1899, 676, 476, 3445, 5232, 5564, 28745, 676, 29226, 676, 519, 5086, 7464, 22569, 2435, 692, 4517, 1631, 585, 519, 1390, 4090, 2560, 16634, 32027, 621, 782, 1927, 26612, 661, 592, 619, 32263, 4542, 2560, 1772, 513, 10047, 538, 519, 1950, 7077, 692, 4692, 17589, 519, 1267, 1210, 513, 13177, 3126, 692, 3963, 1281, 661, 592, 619, 4542, 2339, 2677, 32606, 1919, 602, 1332, 2677, 32606, 1919, 602, 14251, 622, 10201, 908, 1699, 15571, 4882, 895, 5951, 17747, 7344, 5951, 17142, 692, 2171, 666, 849, 9192, 873, 22263, 3126, 281, 3280, 10282, 619, 267, 11418, 22263, 2981, 281, 12005, 4393, 267, 16358, 2762, 267, 25852, 267, 5365, 2079, 692, 1103, 10390, 661, 592, 619, 32263, 4542, 1770, 525, 782, 540, 6128, 538, 835, 979, 898, 814, 9118, 3156, 547, 2413, 2029, 4024, 972, 2479, 581, 513, 1732, 4542, 2496, 13436, 14245, 0, 763, 31643, 3041, 568, 6462, 676, 519, 1082, 21464, 22881, 547, 519, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 28656, 6858, 275, 7089, 540, 2318, 2474, 540, 519, 21411, 1735, 28325, 14114, 3149, 327, 753, 7288, 4542, 585, 519, 1297, 540, 3044, 3349, 14513, 540, 7729, 342, 3337, 630, 333, 266, 274, 19885, 266, 273, 267, 24222, 272, 19422, 333, 268, 272, 19885, 268, 273, 267, 24222, 272, 1040, 476, 271, 692, 260, 296, 1948, 1240, 7325, 476, 4029, 476, 1708, 271, 476, 1240, 281, 6187, 281, 1556, 692, 260, 306, 476, 272, 267, 272, 267, 276, 267, 4792, 267, 11260, 278, 267, 9262, 272, 3066, 267, 278, 2764, 277, 3583, 280, 267, 280, 4792, 26605, 277, 4792, 267, 4350, 4343, 278, 4037, 277, 271, 3393, 267, 6321, 273, 276, 1626, 14444, 26604, 10463, 10484, 260, 307, 476, 15996, 20969, 9032, 272, 13199, 27149, 4905, 267, 15782, 271, 4375, 28242, 25396, 276, 4029, 8064, 277, 10037, 267, 280, 6924, 271, 4200, 30156, 2568, 278, 275, 4097, 5780, 280, 271, 3607, 276, 10484, 260, 308, 476, 4817, 274, 30033, 25616, 31634, 5038, 277, 3583, 279, 26326, 5881, 275, 276, 267, 6344, 4200, 276, 12010, 6795, 274, 279, 5038, 4649, 273, 5780, 273, 14225, 4200, 275, 6507, 692, 260, 301, 7089, 540, 2318, 2474, 540, 519, 21411 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 3643, 10476, 267, 1141, 3173, 4956, 547, 1265, 856, 1018, 781, 2469, 593, 609, 5672, 12120, 22171, 2713, 972, 269, 5839, 320, 13196, 616, 10995, 2831, 1634, 585, 741, 1279, 21217, 543, 32336, 533, 537, 2583, 1141, 789, 4558, 1426, 269, 2991, 5619, 532, 1585, 2127, 538, 10476, 267, 519, 2319, 4080, 602, 1034, 5672, 320, 13196, 5030, 2282, 7733, 855, 849, 6170, 942, 538, 10651, 267, 11396, 267, 543, 4683, 11614, 269, 1717, 267, 789, 8068, 602, 930, 5672, 12120, 2516, 1185, 7864, 2818, 982, 1354, 269, 1677, 948, 2149, 891, 5863, 7068, 267, 5726, 3646, 1590, 1445, 593, 8497, 1312, 4104, 539, 543, 4683, 2127, 602, 1683, 1898, 2200, 585, 519, 22171, 780, 2026, 596, 666, 1294, 267, 2215, 520, 5505, 630, 27023, 1235, 945, 1353, 28516, 264, 3605, 6266, 540, 3579, 1919, 1247, 2324, 2182, 547, 1174, 543, 2149, 891, 6909, 2831, 269, 5808, 6487, 1018, 11580, 649, 786, 12260, 1985, 607, 649, 3136, 3695, 519, 9159, 7706, 540, 28516, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 5357, 9331, 292, 476, 4366, 715, 9331, 21612, 476, 272, 808, 3198, 308, 14473, 476, 1220, 280, 454, 19530, 762, 630, 14457, 264, 19405, 540, 713, 3390, 454, 9209, 2873, 543, 11872, 454, 5575, 7797, 540, 513, 772, 614, 710, 2274, 328, 3912, 5448, 538, 513, 5871, 631, 1301, 657, 564, 630, 24445, 603, 3700, 795, 659, 577, 639, 2567, 18926, 5530, 4762, 8787, 681, 10846, 540, 1975, 2632, 10389, 3026, 21182, 916, 267, 676, 623, 269, 14339, 337, 6403, 326, 22222, 267, 700, 269, 4469, 2803, 267, 674, 269, 674, 926, 10722, 553, 267, 543, 808, 269, 25234, 12027, 23099, 907, 272, 454, 27751, 540, 19129, 29729, 11780, 540, 519, 5871, 631, 1301, 657, 564, 630, 24445, 603, 3700, 795, 659, 577, 639, 264, 538, 772, 2607, 340, 599, 267, 676, 589, 269, 12096, 629, 337, 3626, 267, 700, 269, 1325, 517, 810, 543, 589, 269, 623, 269, 1488, 2946, 1998, 334, 27401, 275, 454, 763, 6739, 2398, 1493, 3194, 4741, 1107, 589, 18984, 643, 528, 267, 676, 661, 269, 623, 269, 2605, 573, 2006, 543, 667, 269, 631, 269, 14332, 6577, 27401, 277, 454, 27751, 593, 10558, 17392, 543, 21073, 540, 5839, 320, 13196, 538, 10476, 267, 676, 27215, 20550, 327, 12312, 267, 590, 269, 5689, 320, 643, 6359, 527, 333, 1180, 267, 590, 269, 20944, 2129, 267, 6970, 334, 2372, 665, 10222, 267, 715, 7666, 344, 523, 11709, 12017, 267, 2274, 11709, 14208, 836, 267, 2558, 534, 5556, 2558, 836, 267, 543, 962, 269, 8621, 3385, 27401, 1015, 454, 21158, 267, 6176, 267, 543, 7788, 8784, 906, 454, 22033, 10671, 6479, 610, 12232, 27401, 274, 454, 28158, 968, 274, 305, 779, 892, 19534, 282, 594, 4916, 13832, 267, 2859, 21624, 15750, 2572, 454, 25486, 8784, 906, 689, 23549, 23099, 907, 274, 454, 313, 3019, 13960, 281, 6732, 4750, 282, 32020, 8759, 30657, 8291, 454, 288, 2072, 6182, 5896, 281, 10496, 10849, 523, 11094, 13815, 547, 5395, 613, 654, 747, 27401, 276, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1569, 267, 2348, 513, 2631, 540, 8116, 267, 543, 519, 4316, 547, 723, 513, 6209, 7589, 676, 3903, 585, 519, 1367, 609, 9124, 1496, 4792, 454, 4940, 15706, 609, 9124, 949, 581, 7471, 538, 513, 2146, 630, 528, 4928, 264, 855, 711, 13998, 3769, 1496, 6858, 454, 4940, 4935, 267, 649, 2307, 519, 2243, 281, 1018, 568, 519, 3804, 540, 10014, 286, 1403, 519, 3804, 729, 547, 2569, 1514, 588, 25634, 1436, 543, 1450, 2043, 609, 9124, 547, 581, 609, 741, 968, 7538, 892, 9905, 538, 519, 1482, 4928, 267, 922, 6662, 814, 1044, 1558, 269, 1717, 267, 952, 519, 3804, 568, 9698, 543, 2298, 2069, 585, 782, 2043, 267, 2436, 609, 9124, 610, 711, 267, 1287, 621, 1522, 711, 581, 8345, 1496, 6924, 454, 2026, 713, 1957, 12958, 811, 2055, 982, 4267, 267, 649, 979, 1394, 547, 519, 2055, 649, 4280, 693, 519, 4098, 540, 713, 1957, 269, 1403, 519, 3804, 540, 2069, 568, 547, 5352, 1702, 585, 519, 1732, 618, 543, 10304, 540, 782, 2043, 267, 814, 621, 6913, 922, 6859, 585, 2043, 609, 9124, 286, 1403, 649, 616, 547, 1413, 693, 519, 1699, 3510, 1471, 268, 14504, 23724, 519, 2250, 3510, 1210, 519, 4661, 602, 519, 1699, 2853, 616, 811, 538, 1899, 609, 1514, 5126, 543, 1480, 2924, 267, 1287, 621, 1522, 3100, 602, 10014, 814, 6913, 922, 6662, 269, 1717, 267, 952, 649, 616, 547, 1413, 693, 519, 4890, 2833, 540, 2043, 609, 9124, 543, 2027, 2069, 3610, 607, 2938, 538, 930, 2090, 630, 324, 3052, 1421, 1496, 7871, 454, 25818, 1287, 10014, 814, 711, 2943, 6913, 922, 6662, 269, 1284, 1419, 9228, 4720, 543, 1646, 607, 513, 3551, 25047, 13826, 602, 4422, 16057, 269, 898, 949, 581, 2009, 602, 519, 4720, 540, 2027, 2069, 543, 10014, 568, 711, 5276, 543, 1646, 568, 31278, 1496, 277, 454, 4940, 898, 949, 849, 581, 602, 649, 616, 3168, 693, 1114, 3344, 950, 10442, 10014, 282, 8754, 267, 519, 21016, 5477, 2963, 540, 7145, 540, 10014, 269, 1306, 971, 267, 2348, 513, 19618, 3044, 543, 4214, 540, 10014, 543, 782, 922, 3334, 568, 7533, 563, 2690, 519, 2034, 2243, 267, 568, 10014, 538, 519, 1719, 540, 782, 2043, 267, 2436, 609, 513, 9659, 610, 711, 286, 2423, 17067, 538, 519, 1957, 267, 649, 5018, 13852, 779, 1719, 19427, 3069, 538, 7234, 10014, 267, 543, 1210, 621, 949, 581, 519, 1034, 3617, 1259, 547, 16253, 547, 713, 2243, 269, 9122, 593, 3140, 5380, 267, 10014, 568, 585, 519, 4690, 540, 782, 1004, 267, 2436, 789, 723, 513, 9659, 610, 711, 282, 2705, 267, 621, 949, 581, 547, 519, 5413, 540, 968, 7538, 892, 1004, 269, 23883, 952, 1004, 1226, 622, 9659, 547, 21341, 267, 1287, 968, 7538, 1944, 892, 2043, 609, 9124, 1797, 1163, 2056, 1447, 4199, 585, 741, 2115, 269, 4935, 267, 10014, 568, 538, 519, 4690, 540, 2043, 609, 9124, 543, 519, 5354, 540, 519, 2486, 269, 634, 2360, 540, 10014, 593, 782, 2043, 267, 2705, 267, 568, 513, 1114, 4901, 15587, 563, 1103, 2424, 568, 711, 519, 10278, 282, 621, 568, 519, 3460, 269, 898, 568, 711, 513, 5276, 6963, 3350, 602, 729, 2838, 676, 513, 1857, 1876, 267, 3079, 621, 568, 606, 31278, 267, 15491, 4720, 1184, 607, 1153, 1949, 723, 547, 3082, 547, 519, 4657, 2115, 540, 6267, 1496, 280, 454, 4940, 634, 1699, 10014, 3510, 538, 938, 3506, 568, 711, 4998, 543, 972, 568, 4055, 585, 6454, 269, 3778, 814, 6038, 8032, 543, 6766, 4207, 24866, 543, 2259, 538, 2027, 2069, 1496, 277, 454, 3910, 3976, 267, 621, 568, 1898, 602, 8639, 540, 2027, 2069, 1058, 723, 811, 538, 3829, 1702, 593, 519, 1686, 540, 2027, 2069, 1496, 279, 454, 4940, 9122, 593, 519, 3140, 5380, 543, 1883, 21437, 538, 2027, 2069, 649, 5941, 538, 713, 1957, 267, 649, 723, 519, 1739, 7840, 563, 5575, 267, 972, 1058, 581, 3140, 4656, 543, 5806, 514, 894, 2702, 1851, 9439, 950, 621, 2501, 547, 2500, 2853, 543, 875, 519, 1935, 568, 538, 1899, 609, 1514, 5126, 543, 1480, 2924, 269, 9861, 3222, 540, 3140, 2621, 543, 5380, 5512, 9439, 547, 581, 14436, 540, 741, 2259, 543, 2087, 538, 741, 2361, 563, 13553, 267, 972, 1058, 581, 8223, 543, 4656, 540, 519, 2027, 2069, 4031, 676, 782, 8639, 269, 12140, 267, 3610, 267, 3028, 7426, 267, 543, 3237, 1058, 723, 606, 538, 3829, 1702, 540, 519, 14074, 540, 519, 2069, 4031, 269, 9861, 5432, 609, 519, 1876, 6087, 873, 547, 581, 3222, 540, 741, 1378, 2924, 543, 9021, 543, 1346, 540, 519, 2043, 609, 9124, 789, 616, 14957, 585, 563, 23612, 267, 972, 1058, 581, 513, 3152, 11007, 538, 10747, 10014, 4441, 267, 700, 3918, 267, 4441, 540, 2298, 594, 7968, 543, 1569, 547, 2489, 2069, 269, 2290, 2101, 3390, 602, 729, 4547, 909, 538, 713, 1957, 568, 519, 22394, 4214, 540, 2035, 543, 2165, 514, 3098, 602, 8507, 538, 1114, 12496, 540, 8639, 269, 769, 1931, 547, 723, 606, 2500, 10014, 1982, 267, 513, 18487, 3044, 1058, 581, 3964, 269, 1306, 540, 1631, 267, 972, 616, 1100, 4441, 267, 3976, 267, 3025, 814, 741, 1378, 12496, 282, 713, 2164, 538, 606, 23696, 2027, 2069, 543, 10014, 1982, 563, 19177, 628, 267, 972, 1058, 581, 811, 1382, 5342, 547, 5531, 4890, 1239, 593, 1312, 1514, 543, 4081, 7145, 540, 10014, 547, 1312, 1053, 609, 9124, 543, 1346, 1510, 269, 898, 729, 5018, 14578, 2429, 519, 1957, 676, 519, 3105, 3332, 602, 972, 729, 1100, 598, 5477, 1344, 593, 519, 7145, 540, 2407, 10014, 1496, 1015, 454, 4940, 4107, 540, 519, 4574, 2944, 941, 7811, 543, 10952, 269, 1703, 616, 1906, 12170, 2090, 3168, 693, 10014, 267, 543, 972, 568, 1100, 598, 5477, 2963, 593, 519, 19976, 1239, 593, 519, 7145, 540, 2407, 10014, 269, 1717, 267, 621, 1131, 581, 811, 6225, 547, 519, 7855, 543, 3028, 7426, 952, 972, 941, 811, 2090, 593, 519, 1514, 543, 4081, 7145, 540, 10014, 593, 711, 1152, 1053, 609, 9124, 267, 855, 849, 741, 2834, 9905, 269, 2991, 782, 267, 10014, 568, 3246, 12581, 3255, 547, 782, 1053, 563, 15563, 267, 972, 1058, 581, 21769, 1851, 2818, 540, 519, 594, 7968, 2319, 267, 1034, 2523, 2027, 2069, 543, 2489, 2069, 3610, 269, 634, 1079, 6887, 540, 3610, 1590, 960, 5702, 547, 1118, 2386, 602, 1018, 789, 616, 3257, 1264, 906, 610, 9360, 519, 824, 779, 3646, 269, 8033, 8462, 543, 11007, 616, 1271, 538, 1565, 267, 543, 713, 666, 581, 6913, 998, 5698, 1851, 3610, 269, 1703, 1058, 849, 581, 513, 5698, 1851, 1585, 8639, 540, 2027, 2069, 1519, 267, 14519, 267, 15156, 267, 3237, 267, 3610, 267, 3028, 7426, 267, 543, 952, 2009, 2043, 609, 9124, 2933, 267, 2523, 950, 26004, 2069, 4507, 585, 2027, 2069, 269, 634, 4031, 941, 2813, 609, 2048, 16591, 685, 15752, 267, 855, 616, 519, 4031, 585, 519, 4690, 540, 2043, 609, 9124, 286, 2311, 519, 1439, 540, 519, 1554, 267, 519, 2243, 568, 267, 4171, 4690, 616, 519, 3506, 543, 519, 10470, 7674, 950, 789, 6430, 789, 1616, 547, 1747, 606, 1367, 609, 9124, 538, 519, 13416, 4928, 286, 898, 568, 513, 2243, 1152, 942, 666, 5963, 2626, 543, 1686, 666, 9794, 269, 0, 4002, 4728, 476, 1556, 267, 476, 8146, 277, 267, 29583, 269, 21862, 839, 570, 269, 28224, 9896, 519, 24104, 1222, 2920, 267, 896, 799, 476, 277, 28902, 4009, 6810, 540, 2244, 602, 1185, 1044, 30431, 730, 676, 519, 2136, 2276, 5619, 832, 941, 6896, 883, 2797, 4559, 269, 901, 1482, 4990, 540, 968, 1723, 10869, 10315, 2389, 12495, 1222, 892, 1062, 729, 7550, 676, 824, 2829, 267, 855, 12309, 814, 3622, 1044, 2808, 519, 10747, 1383, 563, 13126, 281, 3778, 1107, 1684, 1411, 5700, 454, 5415, 827, 24104, 4721, 538, 12309, 21806, 540, 519, 12309, 24104, 1222, 5948, 563, 8340, 513, 24104, 1222, 21806, 540, 519, 12309, 24104, 1222, 5948, 2488, 513, 4786, 543, 3346, 1344, 585, 1022, 10034, 1222, 538, 12309, 269, 4578, 3177, 585, 1142, 10034, 1222, 1331, 11221, 8387, 267, 2232, 543, 3346, 1344, 267, 631, 14011, 5619, 543, 772, 2529, 269, 17227, 1239, 269, 6176, 593, 11221, 8387, 568, 8242, 593, 513, 3232, 4493, 563, 18550, 476, 1556, 267, 476, 5908, 272, 454, 1103, 519, 476, 7277, 271, 338, 7366, 540, 1004, 1166, 18088, 547, 519, 3223, 1048, 1177, 18686, 2443, 513, 28795, 267, 27726, 31732, 4288, 795, 583, 1154, 24239, 5195, 883, 8235, 32493, 269, 1358, 3357, 585, 7601, 269, 8109, 9520, 267, 1179, 22399, 267, 7045, 3464, 543, 19379, 3460, 539, 547, 519, 9678, 3148, 540, 519, 7262, 16592, 18686, 538, 1018, 2968, 519, 4182, 779, 1101, 7777, 19060, 269, 634, 7601, 19060, 3366, 547, 519, 3919, 540, 3223, 1048, 1177, 6019, 282, 26267, 5211, 729, 6074, 519, 10315, 10160, 563, 13126, 2433, 12309, 568, 29055, 563, 4002, 3057, 269, 476, 1556, 267, 476, 4489, 273, 267, 29583, 269, 932, 848, 14642, 9799, 4280, 606, 968, 2169, 571, 867, 2435, 8400, 892, 540, 519, 12309, 22694, 1155, 547, 1780, 9086, 547, 7979, 1177, 1786, 4546, 625, 689, 26539, 513, 2892, 3019, 267, 540, 799, 972, 941, 476, 275, 267, 3607, 277, 538, 12309, 693, 519, 942, 269, 1261, 6059, 602, 1079, 22188, 540, 519, 2892, 9398, 538, 24354, 543, 811, 982, 3368, 540, 1346, 538, 519, 1533, 941, 1786, 342, 2044, 24804, 563, 11675, 9799, 1572, 519, 968, 1410, 947, 633, 946, 540, 4568, 892, 513, 968, 2017, 572, 267, 543, 835, 540, 519, 1178, 4034, 12178, 602, 13720, 18495, 892, 543, 602, 2892, 9398, 968, 2254, 528, 13124, 30380, 543, 1876, 1652, 892, 1058, 711, 2291, 563, 29467, 616, 1346, 945, 8044, 543, 25442, 569, 3494, 602, 519, 2892, 3019, 568, 519, 4057, 812, 779, 8630, 2223, 14642, 9799, 5206, 269, 968, 3719, 789, 723, 1100, 8878, 585, 519, 642, 850, 2892, 3019, 799, 568, 513, 4999, 575, 5766, 3333, 641, 267, 3954, 540, 14382, 3191, 267, 18992, 540, 3775, 1499, 543, 513, 13989, 22946, 3034, 13126, 281, 14642, 9799, 779, 2027, 5048, 607, 2895, 1882, 676, 519, 2160, 540, 12309, 543, 7857, 1242, 676, 5616, 563, 288, 7981, 24606, 540, 17135, 932, 848, 590, 269, 14642, 9799, 547, 519, 10783, 344, 29350, 628, 22694, 1155, 2560, 1635, 932, 848, 20363, 14642, 9799, 454, 18550, 476, 1556, 268, 1691, 267, 476, 3192, 271, 454, 20124, 540, 17546, 24493, 593, 519, 5113, 693, 519, 2160, 540, 12309, 538, 476, 3192, 271, 563, 6524, 519, 4950, 267, 835, 540, 519, 1292, 2081, 547, 20834, 1125, 1857, 6644, 593, 3786, 4926, 729, 547, 723, 4001, 15564, 269, 634, 2160, 540, 12309, 10660, 1229, 519, 1259, 1394, 538, 476, 3422, 276, 609, 519, 1101, 4001, 2987, 1996, 519, 10476, 2782, 269, 1809, 789, 1131, 979, 593, 547, 723, 1082, 811, 4001, 15564, 593, 824, 3584, 607, 1134, 267, 1519, 519, 1604, 563, 763, 2825, 3350, 1185, 3144, 3597, 607, 2484, 1394, 607, 519, 13524, 2540, 267, 855, 621, 7012, 1406, 2394, 519, 1647, 540, 519, 14206, 602, 621, 5963, 3459, 547, 8768, 269, 7025, 4656, 3710, 7444, 855, 20406, 2429, 519, 6957, 2906, 543, 13683, 625, 267, 543, 1287, 782, 693, 2899, 1011, 10757, 538, 476, 3422, 280, 1739, 513, 3126, 540, 1164, 3491, 12803, 2825, 12469, 1107, 513, 5458, 3282, 21383, 1055, 519, 5032, 540, 13244, 22526, 267, 8235, 661, 4471, 1373, 29064, 968, 1372, 611, 2223, 543, 11882, 779, 595, 8500, 1695, 7541, 5211, 20414, 3595, 630, 28785, 1070, 1851, 1866, 269, 8278, 5505, 945, 1185, 585, 1296, 1044, 8165, 547, 1205, 741, 4145, 827, 519, 1604, 883, 519, 3084, 30425, 10393, 1336, 741, 9739, 1373, 4862, 563, 3080, 540, 519, 1034, 3532, 540, 1346, 9739, 729, 602, 540, 772, 2529, 269, 27737, 22985, 331, 867, 20307, 540, 16855, 269, 769, 5181, 476, 3422, 280, 20307, 9307, 1010, 2856, 585, 513, 18487, 13889, 1996, 519, 12159, 540, 519, 1604, 269, 11374, 519, 1291, 540, 519, 4550, 21351, 3350, 267, 646, 6069, 513, 7372, 3126, 540, 4001, 15564, 547, 1491, 1747, 593, 2852, 3786, 4926, 519, 1739, 5614, 267, 5497, 547, 1118, 4892, 811, 3222, 540, 519, 14686, 3978, 1145, 540, 519, 21318, 540, 6937, 1287, 6849, 519, 1604, 269, 630, 763, 5354, 540, 799, 267, 8909, 547, 2161, 267, 616, 1869, 609, 721, 5176, 17288, 1296, 2663, 8094, 25938, 1807, 22985, 331, 867, 20307, 540, 16855, 729, 15691, 547, 5000, 12621, 543, 6280, 2066, 519, 2197, 547, 20834, 1125, 585, 519, 5113, 593, 4989, 476, 2420, 267, 476, 3192, 271, 630, 331, 831 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 2101, 1114, 2010, 540, 20716, 2283, 539, 9623, 1031, 547, 2638, 14147, 18625, 267, 676, 1797, 540, 1880, 1806, 11744, 6198, 3252, 540, 1114, 4294, 9443, 1373, 5018, 269, 5583, 585, 7446, 519, 1292, 11807, 9300, 585, 1808, 5301, 616, 13859, 267, 1927, 609, 606, 5758, 540, 519, 1259, 547, 1118, 946, 540, 11397, 15392, 5013, 607, 606, 3608, 6293, 538, 2029, 543, 7245, 269, 634, 21849, 1543, 568, 3638, 569, 11609, 609, 1806, 540, 1169, 15392, 6791, 8246, 547, 1585, 2564, 267, 9477, 543, 7245, 2055, 538, 18625, 782, 936, 519, 1158, 269, 1306, 971, 267, 519, 8313, 568, 4922, 2139, 547, 513, 1455, 13588, 267, 538, 1840, 547, 5640, 267, 9946, 267, 11397, 15392, 4966, 543, 606, 1367, 3116, 5665, 609, 14147, 11818, 8134, 563, 5649, 610, 8281, 4856, 531, 24035, 22647, 11576, 532, 281, 589, 6651, 585, 29570, 267, 16424, 543, 5004, 7300, 454, 13436, 14498, 2835, 454, 763, 1034, 3483, 540, 713, 552, 26247, 568, 547, 29289, 7418, 689, 7350, 267, 5042, 2029, 267, 543, 519, 6575, 585, 513, 4745, 3408, 540, 513, 1906, 540, 519, 1034, 2413, 18765, 6849, 519, 1702, 540, 8129, 538, 1272, 31599, 785, 543, 2486, 269, 634, 13214, 540, 4358, 1747, 568, 538, 29323, 762, 689, 606, 4950, 540, 19165, 602, 2901, 1106, 543, 12172, 721, 563, 1805, 6324, 344, 24236, 5223, 7160, 538, 3328, 3889, 10525, 519, 6384, 540, 3047, 3889, 5773, 543, 791, 11301, 24236, 10297, 547, 3047, 17234, 269, 12539, 24236, 12753, 540, 11626, 2910, 273, 1592, 4123, 540, 3327, 1851, 519, 1979, 14459, 543, 519, 5605, 1466, 282, 519, 5140, 15143, 540, 4955, 7992, 16313, 338, 568, 13006, 676, 1797, 540, 7250, 24745, 540, 741, 12209, 282, 543, 1216, 16621, 606, 13666, 8084, 24920, 540, 922, 4199, 543, 6561, 1317, 621, 21986, 525, 519, 5605, 1466, 543, 2244, 6989, 563, 1607, 8242, 7650, 12116, 1883, 2694, 540, 3662, 7180, 267, 1927, 609, 6643, 267, 17133, 267, 32692, 267, 9316, 267, 4638, 3903, 543, 24040, 7160, 269, 513, 3099, 540, 11400, 616, 20898, 267, 1927, 609, 4195, 12170, 1806, 563, 3725, 842, 3174, 540, 12551, 543, 18508, 543, 21426, 7377, 2827, 3091, 513, 31544, 1900, 676, 1900, 25129, 547, 3927, 1818, 4566, 267, 25412, 267, 543, 9236, 519, 556, 652, 28344, 618, 540, 3662, 5095, 538, 5449, 9249, 610, 741, 4417, 538, 1007, 5054, 269, 769, 1142, 835, 28153, 267, 12665, 538, 32543, 3174, 7350, 5581, 513, 8737, 10282, 540, 4099, 2553, 267, 6927, 267, 4555, 267, 543, 5784, 563, 268, 20767, 9323, 2552, 8727, 543, 12655, 3816, 27467, 454, 268, 8693, 7827, 543, 10572, 26930, 281, 10837, 267, 26874, 2598, 1263, 1771, 543, 519, 7763, 643, 1049, 29361, 454, 268, 13149, 26085, 540, 22728, 28573, 267, 6239, 3013, 281, 476, 10436, 630, 12507, 1748, 23706, 4437, 11043, 2801, 994, 268, 14171, 14351, 540, 7186, 454, 15761, 571, 9623, 585, 4856, 531, 24035, 22647, 11576, 532, 281, 589, 6651, 585, 29570, 267, 16424, 543, 5004, 0, 2562, 2038, 476, 1220, 278, 267, 972, 941, 1152, 476, 2004, 267, 1822, 5985, 15146, 3755, 538, 14466, 7699, 1715, 19892, 267, 513, 4182, 540, 3670, 2929, 1004, 267, 543, 519, 1482, 1297, 540, 2244, 6050, 269, 589, 6049, 729, 513, 3090, 540, 1362, 269, 8307, 519, 16918, 2443, 14761, 267, 9972, 17531, 13062, 1846, 543, 1870, 15161, 2443, 1223, 6488, 519, 3946, 1115, 543, 1289, 10997, 563, 2467, 616, 1631, 811, 982, 835, 2929, 5985, 3755, 538, 519, 5449, 8241, 8513, 267, 543, 623, 7582, 568, 1373, 9927, 267, 606, 1995, 9648, 538, 930, 824, 3384, 2477, 1932, 269, 7201, 519, 3105, 267, 29723, 1173, 545, 2229, 26771, 540, 645, 16353, 267, 6049, 3755, 1223, 1118, 15072, 344, 7125, 1063, 2947, 1292, 4683, 18013, 538, 513, 2197, 1141, 476, 3445, 829, 1298, 540, 519, 2551, 1869, 2729, 538, 6917, 2127, 563, 5415, 693, 634, 8241, 0, 1692, 20563, 1955, 5099, 4706, 8836, 3397, 12629, 2201, 634, 10163, 2986, 2974, 454, 20464, 476, 272, 560, 267, 476, 1708, 272, 1923, 918, 310, 454, 6524, 476, 3422, 279, 267, 4516, 1185, 6305, 26110, 688, 4979, 689, 25429, 32108, 267, 31671, 20899, 543, 32527, 520, 3832, 9774, 269, 2201, 519, 2627, 713, 5654, 899, 513, 3309, 6041, 540, 5718, 585, 519, 2197, 269, 1280, 519, 2250, 476, 7367, 1296, 267, 2705, 267, 972, 814, 1044, 513, 9490, 2797, 31096, 1141, 519, 6205, 540, 519, 27565, 9549, 9060, 2933, 2901, 8204, 610, 2348, 1044, 4535, 538, 20563, 543, 267, 13604, 267, 1373, 20366, 538, 607, 6305, 14012, 269, 898, 4667, 602, 4516, 781, 25931, 1062, 814, 519, 26516, 12343, 540, 13359, 538, 6305, 26110, 3592, 14311, 689, 20563, 269, 2311, 2547, 267, 621, 814, 8604, 865, 538, 519, 2250, 476, 276, 5756, 563, 28657, 568, 513, 1804, 2197, 1500, 909, 540, 1896, 4525, 543, 1082, 1114, 2516, 540, 2043, 269, 4256, 2115, 616, 607, 3309, 607, 972, 616, 2477, 543, 4529, 538, 519, 1158, 269, 898, 568, 19035, 1287, 602, 519, 2250, 3670, 630, 3467, 982, 835, 2165, 270, 20204, 264, 6305, 26110, 865, 4755, 547, 782, 581, 689, 20563, 269, 17610, 569, 713, 666, 1406, 581, 513, 14626, 2064, 269, 1215, 568, 621, 602, 513, 11662, 899, 20563, 267, 799, 568, 513, 2189, 2486, 267, 666, 20818, 741, 2686, 16786, 593, 519, 2898, 540, 4516, 888, 3963, 616, 5313, 6608, 16550, 3943, 593, 519, 2898, 2551, 950, 519, 3003, 4182, 13408, 1447, 982, 476, 1839, 260, 540, 3943, 10529, 630, 5976, 1447, 602, 476, 276, 260, 3943, 10529, 538, 1034, 16899, 21663, 1215, 666, 519, 4690, 540, 519, 4639, 581, 5265, 9619, 676, 922, 21621, 10779, 2456, 888, 2005, 779, 7805, 602, 20563, 814, 606, 15490, 5413, 538, 938, 12044, 1062, 267, 799, 568, 1759, 593, 2025, 267, 1447, 4143, 10850, 282, 3850, 621, 547, 4324, 689, 4516, 1247, 1373, 513, 723, 27677, 11662, 543, 513, 1480, 2924, 3423, 1807, 693, 519, 1482, 942, 269, 898, 949, 1413, 21016, 2425, 1113, 267, 855, 519, 1483, 10419, 21116, 547, 4516, 779, 8670, 1301, 3415, 616, 14411, 543, 20563, 779, 2671, 540, 16295, 538, 14618, 267, 519, 3943, 1893, 607, 513, 16601, 9872, 267, 543, 20563, 779, 1202, 14571, 593, 1373, 513, 3982, 2486, 538, 4516, 543, 3478, 2027, 22864, 585, 621, 563, 13706, 519, 1739, 912, 22461, 769, 476, 5908, 278, 267, 20563, 6368, 8678, 4516, 896, 519, 23616, 1637, 602, 922, 2189, 2486, 1131, 581, 6870, 998, 606, 968, 817, 3293, 892, 25931, 5354, 269, 901, 1131, 1450, 873, 693, 2547, 547, 3313, 741, 1378, 22038, 607, 513, 11662, 267, 4758, 873, 519, 2034, 1034, 16295, 538, 14618, 547, 3094, 563, 22461, 3943, 729, 1500, 606, 4013, 1893, 538, 476, 3422, 280, 543, 851, 540, 25931, 1893, 1282, 519, 5137, 540, 519, 9139, 2920, 269, 901, 1500, 6340, 3943, 18374, 513, 32563, 585, 1022, 5718, 11134, 267, 610, 585, 338, 820, 513, 10116, 540, 519, 8225, 2551, 563, 1607, 568, 519, 3501, 11600, 547, 2285, 20563, 543, 14411, 796, 8455, 1194, 1852, 936, 519, 3084, 16786, 269, 589, 15626, 543, 11541, 3804, 540, 5329, 513, 3982, 2486, 781, 2528, 1131, 1267, 538, 606, 15490, 11347, 4308, 585, 519, 1964, 540, 4516, 267, 3226, 519, 5375, 16899, 563, 4462, 325, 1515, 11572, 21478, 454, 4407, 4758, 20563, 891, 2640, 547, 6443, 513, 3395, 4516, 630, 528, 1981, 621, 607, 606, 10546, 1070, 2221, 891, 3527, 21279, 711, 1152, 8225, 1476, 25005, 2329, 543, 9322, 267, 855, 789, 15490, 569, 9260, 519, 10253, 540, 11180, 1379, 543, 6041, 538, 519, 12797, 540, 20563, 543, 14411, 269, 2311, 513, 2656, 16145, 693, 519, 25931, 10160, 3892, 2066, 519, 16899, 267, 649, 666, 3313, 602, 16295, 941, 7856, 676, 2551, 2450, 269, 22628, 607, 14411, 543, 20563, 941, 630, 663, 1869, 616, 264, 519, 1079, 4102, 16899, 676, 2551, 267, 789, 616, 1100, 3476, 519, 6852, 2804, 9817, 602, 5397, 519, 8225, 4346, 563, 263, 14835, 5170, 1310, 18537, 994, 15987, 267, 607, 824, 16899, 8678, 267, 519, 16295, 941, 711, 18113, 23799, 30744, 269, 589, 476, 1220, 277, 14829, 1131, 1711, 3606, 16295, 2687, 547, 2551, 2450, 538, 1142, 11662, 269, 5272, 11662, 6591, 16295, 267, 2943, 621, 729, 1175, 513, 18440, 5346, 540, 1379, 676, 14411, 543, 20563, 267, 945, 6591, 519, 4102, 1297, 540, 16295, 563, 1607, 568, 513, 8909, 20185, 585, 519, 5375, 16899, 269, 1358, 8678, 513, 4182, 1141, 267, 676, 9949, 267, 789, 786, 2760, 1852, 519, 8225, 16786, 267, 543, 4061, 786, 6560, 547, 723, 31747, 957, 593, 2152, 543, 4507, 799, 1860, 519, 5375, 16899, 269, 2334, 568, 267, 8259, 782, 5375, 16899, 26595, 896, 835, 5428, 563, 9213, 779, 4516, 5654, 1522, 1176, 1114, 982, 519, 4516, 540, 519, 2038, 543, 4571, 476, 736, 628, 11416, 267, 607, 1705, 741, 5095, 543, 2804, 10256, 563, 1692, 568, 621, 602, 22598, 267, 609, 513, 4130, 2551, 982, 14411, 543, 20563, 267, 799, 814, 1185, 630, 2863, 559, 5063, 264, 519, 1034, 3532, 4346, 602, 13455, 519, 723, 27677, 16899, 540, 4516, 585, 5756, 267, 1519, 20563, 267, 723, 1447, 2797, 3310, 982, 20563, 543, 14411, 286, 634, 811, 2055, 649, 2307, 827, 519, 14619, 540, 938, 25931, 6041, 267, 519, 811, 649, 1451, 602, 519, 16295, 941, 21248, 547, 1016, 16746, 519, 3310, 540, 5375, 4516, 563, 10214, 952, 519, 5375, 16899, 8087, 896, 513, 5428, 796, 29434, 3585, 267, 789, 1131, 1869, 711, 581, 2111, 547, 936, 20183, 14411, 610, 20563, 267, 2901, 1927, 610, 4805, 269, 1215, 666, 519, 4639, 3251, 538, 1476, 25005, 2329, 950, 789, 616, 1419, 2016, 519, 2110, 1439, 540, 519, 6529, 543, 609, 1100, 973, 6847, 547, 2479, 581, 2111, 547, 1852, 519, 3084, 16786, 286, 9701, 972, 581, 2551, 514, 1417, 1161, 547, 2333, 519, 2551, 538, 519, 4639, 286, 1215, 1279, 1131, 621, 1491, 543, 1131, 824, 16899, 20006, 2147, 7341, 286, 2107, 1058, 519, 25931, 10160, 1062, 581, 1759, 593, 2804, 7607, 888, 27745, 713, 581, 4023, 888, 32381, 540, 519, 2009, 3070, 267, 519, 1249, 3788, 2312, 547, 3025, 2713, 538, 7262, 16899, 281, 1306, 1279, 607, 14411, 543, 20563, 723, 513, 32469, 540, 519, 16295, 267, 519, 1964, 540, 4516, 786, 267, 676, 9949, 267, 581, 12199, 676, 1346, 1079, 16899, 543, 666, 3136, 547, 2503, 6305, 26110, 547, 2097, 6140, 689, 20563, 563, 28657, 1772, 18320, 8262, 1677, 2142, 681, 27968, 1133, 325, 1515, 569, 454, 1103, 1686, 267, 1804, 2220, 23411, 540, 2244, 723, 1044, 711, 528, 13124, 2352, 547, 1827, 269, 6875, 634, 4936, 7276, 267, 519, 10513, 4936, 7276, 267, 519, 3703, 7276, 267, 519, 27245, 1014, 7276, 267, 3092, 2507, 585, 1383, 269, 2353, 1804, 23693, 267, 17364, 2789, 2477, 543, 11182, 267, 782, 8593, 1813, 547, 3668, 540, 1697, 10350, 563, 2005, 779, 4230, 15929, 602, 6576, 267, 519, 4102, 2244, 21346, 538, 519, 1158, 568, 1869, 267, 5266, 267, 538, 835, 4062, 563, 15987, 519, 4806, 568, 2312, 267, 621, 781, 2182, 267, 1256, 609, 2413, 2029, 267, 547, 4300, 848, 519, 13999, 540, 513, 2197, 950, 972, 568, 1100, 1797, 540, 2921, 1852, 610, 12018, 519, 3084, 16786, 269, 4516, 814, 513, 2603, 540, 2042, 14495, 18284, 922, 12560, 1647, 11665, 2627, 269, 634, 5821, 540, 4516, 781, 1476, 25005, 2329, 1223, 581, 513, 4641, 952, 519, 3818, 2000, 599, 1229, 6528, 640, 568, 711, 9619, 998, 3527, 267, 543, 609, 811, 982, 1175, 513, 3723, 16694, 610, 13946, 520, 538, 513, 17599, 4633, 563, 18600, 9237, 543, 9157, 5717, 543, 3664, 1590, 581, 1500, 547, 948, 713, 2197, 3251, 8087, 538, 519, 476, 2641, 560, 11416, 269, 6524, 5046, 476, 866, 267, 649, 4718, 3140, 2797, 543, 1514, 19727, 538, 519, 2197, 609, 2101, 1102, 2858, 23461, 1373, 17808, 676, 3689, 8315, 17600, 543, 1514, 5126, 15628, 563, 4692, 21808, 723, 2760, 5433, 811, 693, 519, 23502, 540, 519, 2229, 982, 1022, 824, 942, 538, 2487, 5756, 543, 835, 1259, 547, 1118, 2386, 519, 10480, 3130, 13978, 4300, 1078, 568, 547, 2709, 3703, 12052, 267, 22598, 543, 32527, 520, 3832, 9774, 513, 4023, 4960, 693, 6117, 519, 3084, 16786, 269, 3143, 3148, 1058, 723, 1729, 26595, 4625, 547, 723, 741, 4145, 9619, 269, 898, 779, 3810, 7543, 513, 9028, 547, 3035, 2336, 24679, 779, 7805, 602, 20563, 814, 606, 15490, 5413, 538, 938, 12044, 1062, 267, 799, 568, 1759, 593, 2025, 267, 1447, 4143, 10850, 4799, 19675, 1358, 13773, 2107, 9701, 1358, 3619, 888, 2467, 616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 6078, 269, 7918, 4846, 883, 7273, 1210, 476, 6078, 269, 7918, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 6078, 269, 7918, 607, 606, 2179, 540, 13532, 269, 901, 568, 519, 6364, 281, 476, 6078, 269, 7918, 11304, 815, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 6550, 780, 2026, 596, 666, 1294, 267, 713, 476, 6078, 269, 7918, 4846, 5288, 7273, 20303, 568, 2653, 547, 946, 780, 3086, 649, 616, 2469, 547, 938, 3119, 3390, 910, 875, 547, 6460, 476, 6078, 269, 7918, 13532, 547, 6550, 593, 707, 1378, 780, 2971, 476, 6078, 269, 7918, 4846, 547, 7273, 7503, 692, 2171, 786, 1376, 476, 6078, 269, 7918, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4542, 547, 1205, 519, 1034, 2953, 1267, 269, 589, 2656, 12576, 540, 513, 4542, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 519, 1267, 538, 6550, 692, 3383, 1018, 991, 596, 798, 547, 917, 875, 1082, 6550, 3160, 547, 476, 6078, 269, 7918, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 538, 713, 2013, 476, 6078, 269, 7918, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 269, 1924, 476, 6078, 269, 7918, 11304, 568, 4010, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 780, 2005, 568, 849, 2009, 547, 5180, 621, 1055, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 898, 568, 4010, 476, 273, 269, 736, 269, 1924, 476, 6078, 269, 7918, 11304, 815, 476, 11011, 269, 4343, 279, 271, 6550, 780, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 6460, 476, 6078, 269, 7918, 4846, 4154, 538, 6550, 269, 1924, 476, 6078, 269, 7918, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 6078, 269, 7918, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 3947, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 269, 1924, 6697, 540, 476, 6078, 269, 7918, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 4010, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 780, 1103, 713, 2013, 596, 666, 849, 5180, 1055, 519, 1267, 269, 898, 568, 519, 1267, 1310, 24263, 1055, 267, 538, 713, 2013, 547, 835, 8918, 1747, 910, 476, 6078, 269, 7918, 11304, 476, 11011, 269, 4343, 279, 6550, 780, 3086, 1577, 779, 1847, 593, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 780, 2971, 1215, 1082, 476, 6078, 269, 7918, 4846, 547, 7273, 692, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 11011, 269, 4343, 279, 519, 6364, 538, 6550, 692, 3383, 476, 6078, 269, 7918, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 723, 547, 9062, 1297, 540, 11304, 267, 538, 713, 2013, 476, 6078, 269, 7918, 267, 676, 476, 273, 269, 273, 269, 6423, 281, 476, 6078, 269, 7918, 2608, 476, 273, 269, 273, 815, 476, 11011, 269, 4343, 279, 269, 1924, 476, 6078, 269, 7918, 11304, 568, 476, 273, 269, 273, 6550, 780, 2710, 1776, 9819, 1210, 713, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 1383, 267, 476, 6078, 269, 7918, 4846, 547, 7273, 2597, 540, 22229, 780, 3383, 6460, 910, 476, 6078, 269, 7918, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 11011, 269, 4343, 279, 6550, 540, 22229, 269, 1924, 476, 6078, 269, 7918, 4846, 547, 11013, 2527, 568, 476, 11011, 269, 4343, 279, 780, 2252, 596, 917, 875, 1454, 568, 476, 6078, 269, 7918, 11304, 2597, 538, 6550, 543, 666, 6460, 621, 1210, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 616, 2469, 547, 1397, 596, 891, 4093, 538, 12125, 780, 2971, 22417, 476, 6078, 269, 7918, 11304, 547, 6550, 692, 2171, 616, 3222, 602, 2164, 3254, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 7515, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3533, 1118, 513, 6476, 476, 6078, 269, 7918, 4846, 6697, 547, 7273, 4093, 780, 4131, 779, 2253, 609, 513, 476, 6078, 269, 7918, 4846, 11224, 7273, 3349, 585, 519, 1101, 4542, 1384, 298, 559, 9999, 623, 2432, 623, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 994, 6078, 269, 7918, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 476, 11011, 269, 4343, 279, 271, 692, 4517, 1631, 1413, 476, 6078, 269, 7918, 4846, 3160, 11013, 5750, 585, 519, 2034, 4542, 1384, 298, 559, 9999, 623, 2432, 454, 6078, 269, 7918, 476, 11011, 269, 4343, 279, 692, 2026, 596, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 6078, 269, 7918, 11304, 11224, 6550, 267, 519, 4093, 616, 711, 1114, 269, 634, 8273, 2179, 519, 811, 1713, 3017, 269, 5457, 621, 950, 596, 991, 547, 798, 8273, 1297, 982, 476, 6078, 269, 7918, 13532, 6550, 7503, 780, 2971, 1215, 1082, 13532, 476, 6078, 269, 7918, 11013, 692, 3086, 596, 4121, 875, 547, 5173, 476, 6078, 269, 7918, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 3657, 596, 8049, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 6078, 269, 7918, 11304, 547, 6550, 543, 13728, 9819, 2496, 2171, 616, 2469, 547, 1397, 596, 875, 596, 666, 6460, 621, 2370, 676, 2370, 269, 2913, 779, 2253, 269, 1215, 1454, 568, 476, 6078, 269, 7918, 4846, 538, 7273, 543, 12063, 2496, 5575, 3364, 596, 991, 547, 798, 568, 9062, 1297, 540, 13532, 267, 713, 942, 476, 6078, 269, 7918, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 6078, 269, 7918, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 269, 2290, 11304, 568, 4010, 476, 273, 269, 14225, 25118, 7830, 6550, 780, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 780, 2414, 6460, 875, 1454, 476, 6078, 269, 7918, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 991, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 476, 27628, 31256, 4572, 13728, 780, 3383, 707, 6364, 568, 4010, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 1411, 666, 849, 5180, 1055, 13728, 267, 585, 1383, 267, 547, 1079, 4025, 269, 3973, 3803, 6364, 568, 3160, 476, 273, 6550, 543, 476, 3451, 13728, 780, 2026, 596, 1294, 267, 9819, 476, 6078, 269, 7918, 11304, 538, 6550, 543, 13728, 3833, 2653, 780, 763, 2063, 7503, 799, 649, 616, 2469, 547, 1397, 596, 568, 7503, 540, 476, 6078, 269, 7918, 3723, 6550, 547, 13532, 7397, 269, 5637, 540, 873, 616, 4559, 540, 960, 780, 2414, 6460, 3723, 6550, 547, 11304, 7397, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 1397, 596, 621, 267, 723, 513, 1413, 1384, 1892, 476, 6078, 269, 7918, 13532, 7397, 815, 476, 278, 269, 22001, 25320, 5952, 3723, 6550, 2676, 1892, 476, 6078, 269, 7918, 3723, 6550, 815, 476, 271, 269, 15946, 22724, 4817, 13532, 7397, 780, 3086, 1577, 779, 1294, 513, 4542, 1384, 10831, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 692, 3383, 547, 5173, 476, 6078, 269, 7918, 3723, 6550, 547, 13532, 7397, 596, 723, 547, 9062, 476, 6078, 269, 7918, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 6078, 269, 7918, 3723, 6550, 568, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 6078, 269, 7918, 3723, 6550, 786, 581, 3160, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 9819, 729, 607, 2653, 607, 476, 6078, 269, 7918, 11304, 883, 6550, 9273, 780, 1607, 2376, 568, 513, 2462, 735, 754, 1756, 827, 11304, 267, 11013, 543, 476, 6078, 269, 7918, 4846, 547, 7273, 538, 9819, 269, 9603, 547, 713, 9819, 596, 917, 476, 6078, 269, 7918, 11304, 568, 6697, 547, 875, 1082, 6550, 780, 2171, 4951, 596, 711, 1152, 875, 547, 1118, 513, 9819, 476, 6078, 269, 7918, 11304, 547, 11973, 6550, 855, 849, 1079, 1776, 9273, 910, 547, 2638, 875, 1082, 476, 6078, 269, 7918, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 6078, 269, 7918, 3723, 6550, 547, 13532, 7397, 780, 2171, 4951, 596, 849, 824, 1259, 547, 1118, 476, 6078, 269, 7918, 11304, 875, 1082, 6550, 24740, 267, 602, 568, 609, 946, 540, 476, 6078, 269, 7918, 4846, 679, 11013, 20303, 269, 901, 786, 581, 519, 1655, 3070, 585, 1346, 540, 596, 945, 798, 711, 899, 14291, 593, 707, 1378, 693, 782, 610, 991, 547, 1118, 7711, 19668, 8649, 870, 18360, 4846, 875, 7273, 9273, 538, 18334, 1259, 780, 2171, 4126, 602, 1631, 782, 540, 596, 616, 2111, 547, 1118, 476, 6078, 269, 7918, 11304, 3160, 547, 875, 1082, 6550, 7503, 910, 593, 707, 1378, 610, 609, 946, 540, 938, 476, 6078, 269, 7918, 4846, 338, 547, 6550, 20303, 780, 2005, 568, 942, 547, 1118, 707, 1847, 256, 22417, 476, 6078, 269, 7918, 11304, 2527, 547, 6550, 538, 519, 1259, 596, 899, 780, 2710, 596, 1616, 547, 1118, 824, 982, 476, 6078, 269, 7918, 11304, 607, 6550, 7503, 286, 1280, 3236, 267, 585, 476, 276, 13532, 286, 6744, 938, 824, 4930, 256, 1284, 10018, 602, 9273, 585, 824, 2338, 540, 13532, 616, 865, 2653, 607, 585, 476, 6078, 269, 7918, 11304, 3160, 1082, 6550, 780, 2162, 1215, 1454, 568, 476, 6078, 269, 7918, 4846, 538, 6550, 692, 2171, 1616, 547, 2040, 909, 713, 1888, 267, 602, 568, 875, 1454, 568, 476, 6078, 269, 7918, 4846, 538, 6550, 2073, 649, 5423, 585, 596, 606, 3606, 3296, 269, 3371, 649, 723, 585, 596, 782, 596, 991, 547, 917, 827, 875, 1454, 568, 476, 6078, 269, 7918, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 6078, 269, 7918, 4846, 547, 7273, 1547, 1411, 666, 1294, 621, 1524, 2630, 780, 1692, 1281, 519, 11304, 547, 11013, 7503, 1413, 286, 1677, 1118, 519, 4846, 547, 18470, 7503, 621, 568, 2877, 547, 9062, 476, 273, 2338, 269, 1215, 1281, 476, 6078, 269, 7918, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 5620, 513, 1413, 1384, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 692, 3086, 596, 666, 1294, 519, 1267, 540, 519, 7503, 540, 476, 6078, 269, 7918, 11304, 547, 6550, 269, 634, 3169, 1267, 568, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 7273, 780, 2467, 568, 849, 1776, 1259, 547, 5173, 875, 1454, 476, 6078, 269, 7918, 11304, 568, 3160, 547, 6550, 609, 2034, 267, 27571, 4528, 540, 519, 4542, 269, 5620, 513, 1413, 780, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 692, 3383, 1631, 267, 476, 6078, 269, 7918, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 1267, 568, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 6550, 780, 1692, 547, 6460, 476, 6078, 269, 7918, 4846, 547, 7273, 18334, 543, 4443, 286, 898, 568, 2009, 547, 946, 519, 476, 6078, 269, 7918, 4846, 547, 7273, 20303, 2073, 799, 786, 798, 782, 9273, 585, 596, 543, 596, 786, 1205, 606, 3169, 2626, 16317, 2971, 18741, 9999, 1496, 11899, 6540, 763, 11304, 267, 610, 11304, 1889, 267, 568, 519, 3490, 1770, 540, 2597, 538, 519, 5450, 878, 1062, 269, 898, 568, 519, 16977, 2597, 540, 513, 13306, 540, 1216, 476, 1015, 17744, 593, 513, 2427, 780, 2971, 623, 2432, 1496, 331, 2125, 6540, 288, 11013, 568, 513, 1770, 540, 2597, 4122, 1031, 538, 519, 2136, 2276, 543, 519, 3703, 1455, 17314, 338, 269, 589, 11013, 568, 3989, 607, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 563, 5649, 811, 1644, 4930, 912, 476, 6078, 269, 4905, 4846, 547, 7273, 815, 476, 3445, 269, 30329, 277, 476, 6078, 269, 6349, 4846, 547, 7273, 815, 476, 3445, 269, 275, 3451, 277, 476, 6078, 269, 6734, 4846, 547, 7273, 815, 476, 3445 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 277, 348, 1299, 1299, 1299, 1341, 1299, 1422, 2765, 3189, 15883, 9041, 273, 2410, 273, 348, 1299, 910, 1299, 1422, 2765, 346, 272, 2410, 277, 348, 8607, 314, 271, 269, 272, 514, 316, 11513, 18773, 512, 11892, 275, 579, 3709, 1777, 1777, 11892, 562, 1299, 1299, 1299, 910, 261, 1422, 2765, 3189, 10401, 9041, 273, 2410, 2190, 348, 1299, 1299, 1299, 910, 1299, 1422, 2765, 3189, 15883, 9041, 273, 2410, 277, 348, 1299, 910, 1299, 1422, 2765, 346, 272, 2410, 2190, 348, 1422, 754, 15204, 4151, 630, 272, 269, 7830, 2020, 2414, 1265, 519, 1034, 4977, 3818, 9912, 1505, 540, 519, 2016, 1106, 267, 649, 4194, 585, 519, 2418, 540, 6695, 10401, 9041, 272, 18079, 6695, 10401, 9041, 273, 18079, 6695, 15883, 9041, 272, 18079, 543, 6695, 15883, 9041, 273, 2330, 602, 1267, 538, 519, 14170, 540, 519, 1101, 2185, 2474, 1373, 1541, 1227, 4642, 780, 19865, 476, 272, 2422, 30731, 10378, 262, 338, 19758, 31988, 4971, 538, 519, 1106, 692, 1535, 284, 589, 315, 321, 692, 7617, 540, 519, 1739, 1034, 5702, 13292, 707, 3070, 585, 3230, 24560, 10401, 9041, 272, 267, 1422, 10401, 9041, 273, 267, 1422, 15883, 9041, 272, 267, 1422, 15883, 9041, 273, 316, 317, 570, 2330, 2496, 19865, 476, 272, 692, 19865, 476, 273, 1548, 568, 519, 1931, 540, 6111, 540, 519, 10325, 596, 1336, 538, 519, 3635, 1657, 2496, 19865, 476, 273, 692, 12585, 281, 8074, 267, 609, 891, 2418, 267, 519, 3056, 5470, 2165, 568, 3230, 10559, 2765, 346, 272, 2410, 277, 7346, 18773, 512, 11892, 275, 579, 3709, 1777, 1777, 11892, 562, 21974, 4935, 267, 519, 10325, 568, 3791, 1931, 4977, 630, 2330, 335, 284, 274, 2330, 1040, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 11554, 18928, 2147, 547, 715, 3139, 15733, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 15782, 2164, 692, 289, 5802, 11762, 3436, 4635, 267, 16792, 543, 25705, 827, 9119, 3436, 11554, 18928, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 19177, 1507, 2338, 2285, 519, 23319, 547, 519, 9115, 540, 519, 2185, 4478, 2281, 780, 2162, 2859, 593, 631, 30769, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 692, 2467, 568, 513, 1279, 2245, 540, 2870, 544, 30769, 2429, 1686, 543, 2066, 519, 1158, 269, 901, 2376, 3947, 3877, 540, 544, 30769, 596, 666, 3643, 543, 1346, 602, 596, 666, 10994, 593, 1957, 780, 2162, 24504, 10060, 14181, 18602, 476, 273, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1607, 14181, 18602, 267, 1759, 593, 3604, 269, 4635, 519, 835, 23319, 1297, 666, 596, 1265, 519, 3070, 2496, 2162, 476, 280, 1284, 2074, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 723, 1044, 2016, 8370, 12035, 267, 835, 540, 799, 568, 5594, 18219, 982, 519, 1964, 269, 2052, 596, 960, 856, 799, 2597, 568, 18219, 538, 1175, 1079, 9260, 902, 540, 519, 3666, 2496, 2162, 3828, 514, 7412, 1606, 342, 6260, 14181, 18602, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 6292, 540, 14181, 18602, 13410, 602, 1927, 1291, 547, 513, 2347, 3070, 780, 2162, 21281, 595, 5725, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 20278, 519, 476, 1626, 1114, 10659, 540, 7484, 4882, 29694, 538, 713, 476, 275, 676, 476, 275, 11460, 865, 602, 1100, 4737, 610, 6241, 3568, 811, 982, 835, 7484, 610, 10487, 1356, 540, 519, 1482, 7990, 780, 2162, 2107, 5190, 543, 19748, 976, 267, 17166, 519, 13852, 338, 540, 853, 595, 2211, 781, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 289, 749, 2590, 619, 723, 513, 2027, 1259, 547, 2328, 1524, 519, 3270, 789, 8258, 269, 6258, 827, 891, 3270, 543, 2721, 930, 540, 707, 1378, 780, 2162, 9046, 14572, 267, 4635, 543, 16792, 543, 23398, 9119, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 19370, 6061, 568, 693, 519, 2295, 540, 519, 715, 30278, 295, 3135, 269, 2353, 519, 2042, 2285, 6267, 3255, 547, 1451, 267, 1020, 610, 946, 6310, 2035, 543, 1983, 269, 3367, 1934, 585, 811, 1344, 780, 2162, 25478, 593, 16707, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 5022, 540, 519, 2262, 9474, 3722, 4785, 723, 1044, 11231, 538, 519, 3337, 540, 513, 6906, 269, 1215, 1082, 1114, 2081, 666, 596, 1265, 547, 1224, 519, 2262, 9474, 3722, 4785, 689, 713, 21083, 4806, 2496, 2162, 28564, 4934, 540, 23426, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 2304, 4367, 547, 6125, 5086, 9511, 780, 2162, 29274, 631, 3291, 548, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 15575, 1845, 689, 2066, 519, 1158, 2841, 539, 538, 513, 5026, 29658, 269, 2052, 596, 28433, 606, 3608, 4640, 547, 960, 856, 519, 1931, 538, 799, 789, 8737, 2496, 2162, 9061, 532, 519, 16011, 12384, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 1607, 16602, 4161, 12134, 596, 547, 1265, 2081, 540, 2469, 2066, 25965, 267, 2469, 998, 4010, 4557, 10945, 780, 2162, 8490, 609, 7043, 518, 14339, 338, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 288, 4101, 2534, 2519, 593, 4466, 782, 2009, 2081, 540, 10518, 532, 22203, 780, 2162, 634, 715, 8898, 30449, 538, 14181, 18602, 692, 7462, 8609, 281, 476, 273, 267, 476, 274, 543, 476, 275, 692, 288, 1880, 4480, 585, 6061, 14181, 18602, 13410, 267, 1634, 607, 834, 333, 8898, 6292, 2580, 568, 6045, 538, 713, 2653, 3562, 22345, 2376, 780, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 305, 1430, 982, 1210, 519, 2338, 476, 272, 268, 280, 267, 713, 521, 644, 18602, 3096, 519, 8370, 1114, 5022, 1031, 547, 1118, 519, 1913, 834, 3849, 1203, 25038, 6231, 2162, 23413, 11276, 16011, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 543, 476, 274, 7420, 5426, 1384, 2467, 616, 8370, 22788, 323, 625, 538, 23413, 11276, 16011, 910, 1614, 2699, 267, 1614, 4544, 543, 1614, 5835, 269, 1703, 616, 849, 8370, 8075, 267, 1614, 540, 1142, 7990, 269, 2052, 596, 2322, 873, 593, 519, 4786, 540, 23413, 11276, 16011, 2687, 547, 519, 3652, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 991, 547, 1265, 519, 2418, 540, 519, 6801, 1354, 596, 666, 4019, 3339, 14181, 18602, 3652, 780, 2162, 3689, 4045, 8422, 585, 5565, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 5575, 4045, 8422, 3014, 585, 606, 2937, 543, 1126, 269, 2422, 519, 18062, 2338, 543, 2901, 1840, 610, 12408, 547, 1205, 1614, 2338, 538, 513, 2786, 1899, 780, 2162, 17897, 531, 3828, 514, 14181, 758, 639, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1607, 6292, 540, 5532, 14181, 758, 639, 13292, 5022, 609, 2338, 543, 554, 1938, 513, 12119, 28551, 269, 2052, 596, 1265, 621, 2496, 2162, 28037, 9047, 9046, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 21576, 814, 476, 1911, 16295, 269, 8058, 875, 621, 568, 2009, 547, 6133, 4010, 476, 1911, 17914, 543, 1491, 4010, 11278, 1911, 952, 519, 5777, 616, 11278, 1015, 585, 4079, 267, 476, 2004, 335, 585, 27404, 619, 543, 476, 1015, 335, 585, 1453, 780, 2162, 16727, 20603, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 4692, 596, 946, 707, 7060, 540, 7954, 543, 17429, 794, 547, 960, 856, 519, 7508, 1344, 538, 891, 7328, 344, 3871, 2496, 2162, 9931, 17549, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 602, 3096, 14759, 607, 5885, 10881, 780, 2162, 22472, 14181, 18602, 476, 274, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 10881, 607, 12753, 610, 8454, 780, 2162, 24410, 7632, 727, 10222, 9201, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 6624, 2067, 1949, 2408, 547, 581, 538, 11466, 2394, 10393, 513, 2565, 1448, 568, 6603, 267, 4259, 909, 513, 16095, 16435, 728, 610, 606, 1285, 23750, 3832, 610, 606, 13091, 269, 769, 713, 1788, 267, 1053, 786, 946, 513, 2241, 269, 1547, 1547, 16317, 2162, 4144, 21192, 8605, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 11693, 519, 2472, 540, 25241, 958, 6587, 2281, 910, 666, 596, 2347, 713, 14181, 18602, 2496, 2162, 1411, 744, 933, 2725, 12866, 10787, 628, 902, 267, 17166, 519, 13852, 338, 540, 853, 9410, 781, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8196, 519, 2170, 2032, 547, 6432, 547, 519, 30518, 30366, 513, 4806, 269, 3767, 621, 781, 707, 2490, 256, 7591, 835, 540, 519, 30518, 3054, 269, 1215, 798, 596, 917, 950, 621, 568, 707, 2490, 547, 8258, 2496, 2162, 22472, 14181, 18602, 476, 272, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 10881, 607, 12753, 780, 2162, 16338, 14181, 18602, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 8196, 519, 3604, 547, 1265, 519, 3070, 547, 713, 14181, 18602, 780, 2162, 700, 8104, 302, 7420, 910, 10222, 9201, 1606, 638, 4100, 3613, 1513, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 4692, 596, 30712, 891, 6272, 286, 1548, 616, 519, 2596, 4559, 286, 1548, 3350, 568, 2838, 1063, 1142, 1770, 286, 2368, 17715, 946, 540, 5773, 786, 948, 910, 4632, 711, 1898, 780, 2162, 28249, 14181, 18602, 476, 272, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 513, 6335, 780, 2162, 10435, 13174, 281, 17677, 21758, 18903, 12384, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 13014, 707, 1378, 5595, 21758, 9059, 4009, 269, 1809, 666, 596, 2347, 1312, 5011, 2899, 596, 4312, 1500, 519, 4773, 2496, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1607, 568, 513, 8390, 540, 521, 644, 18602, 799, 3568, 513, 1305, 540, 2027, 23319, 5991, 13246, 269, 3962, 1305, 540, 476, 275, 1507, 9704, 6763, 585, 519, 2338, 538, 519, 2185, 2281, 540, 519, 7470, 11105, 547, 713, 1305, 780, 2162, 2051, 712, 11866, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2304, 3063, 23061, 1797, 713, 14181, 18602, 3340, 596, 547, 1589, 538, 32377, 607, 1134, 607, 8880, 543, 7299, 3515, 543, 10833, 540, 8370, 780, 2162, 11638, 1255, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 10376, 23319, 538, 713, 14181, 18602, 568, 519, 1587, 540, 519, 1079, 2338, 538, 11105, 2281, 780, 2162, 3828, 514, 4856, 22046, 532, 14181, 18602, 8633, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 10521, 521, 644, 758, 639, 538, 835, 269, 7420, 3054, 547, 1118, 519, 2556, 4296, 780, 2162, 28038, 715, 30278, 295, 29375, 6579, 32271, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 2171, 2811, 9599, 827, 713, 1007, 1982, 585, 5373, 4190, 6310, 6272, 269, 2052, 596, 960, 856, 875, 649, 1500, 938, 1101, 1906, 5961, 543, 267, 1256, 1732, 267, 2671, 707, 1034, 17715, 3435, 609, 721, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2252, 596, 1491, 513, 1614, 676, 1614, 4009, 593, 513, 476, 272, 268, 1015, 1840, 4009, 543, 9062, 519, 25241, 958, 6587, 2338, 1927, 267, 1018, 568, 519, 3017, 1063, 891, 2472, 269, 4208, 2496, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 19177, 2338, 593, 606, 10167, 602, 991, 547, 581, 5116, 538, 519, 4478, 2281, 269, 2334, 568, 782, 596, 991, 547, 917, 547, 4194, 713, 521, 644, 18602, 780, 2162, 13491, 25038, 476, 1001, 272, 910, 18520, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 3849, 1203, 25038, 476, 1001, 272, 910, 513, 6310, 2534, 585, 1142, 1554, 1282, 519, 2196, 5346, 547, 8285, 780, 2162, 22472, 14181, 18602, 476, 273, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 10881, 607, 12753, 780, 2162, 769, 5652, 28116, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 1607, 13306, 814, 13504, 593, 1142, 3068, 799, 3762, 7436, 593, 1957, 607, 621, 568, 18202, 269, 2052, 596, 960, 856, 1018 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1721, 630, 842, 1775, 815, 1109, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 994, 19127, 604, 630, 31184, 5157, 316, 11203, 513, 5157, 7481, 12248, 10030, 3248, 10926, 8873, 1293, 3248, 10926, 842, 1109, 10852, 4590, 19127, 842, 513, 26514, 815, 2715, 277, 267, 1109, 273, 267, 1109, 274, 267, 1109, 279, 267, 1109, 280, 2073, 1109, 272, 348, 16963, 842, 562, 815, 1109, 21653, 1993, 5416, 264, 1315, 1109, 21653, 1993, 5416, 314, 271, 316, 32007, 322, 719, 24177, 1109, 257, 7089, 540, 3765, 31419, 2609, 281, 834, 24177, 1293, 8548, 529, 31419, 5416, 267, 562, 32007, 8873, 1109, 271, 3248, 348, 32526, 20479, 1384, 1730, 10831, 540, 3765, 31419, 2609, 281, 476, 275, 1730, 692, 2162, 29203, 1323, 331, 904, 529, 692, 11742, 6988, 281, 1284, 616, 1210, 513, 4990, 1599, 547, 4990, 519, 10151, 5044, 267, 865, 519, 942, 6988, 568, 744, 3799, 265, 331, 1758, 6393, 22129, 6988, 281, 744, 3799, 1070, 607, 649, 616, 1210, 513, 10151, 5044, 630, 31184, 6393, 9827, 1294, 267, 1109, 15887, 514, 10127, 335, 23990, 780, 7476, 519, 10509, 4876, 596, 17330, 267, 5488, 2336, 21010, 609, 938, 4274, 5646, 8688, 832, 547, 1174, 875, 547, 11360, 707, 1259, 547, 1967, 454, 27165, 12773, 476, 275, 269, 278, 270, 276, 454, 272, 281, 272, 8969, 1489, 454, 4817, 260, 13307, 2594, 454, 288, 330, 1662, 6022, 454, 25938, 1640, 12229, 23910, 454, 30444, 260, 670, 833, 2991, 16763, 645, 2393, 322, 2086, 454, 295, 574, 753, 16852, 717, 639, 664, 454, 25284, 1067, 8890, 560, 454, 3953, 700, 5183, 2991, 16763, 645, 2393, 322, 2086, 454, 5475, 16763, 454, 289, 2393, 322, 2086, 692, 304, 272, 269, 1548, 616, 519, 2640, 540, 18570, 543, 4994, 532, 2496, 12585, 281, 1109, 10574, 13539, 666, 581, 513, 3730, 10763, 1907, 538, 543, 540, 3294, 267, 8744, 3270, 543, 22114, 547, 1769, 269, 590, 15659, 513, 3349, 9308, 556, 7451, 1239, 543, 17016, 519, 2164, 547, 513, 1007, 24630, 3349, 269, 634, 5817, 2168, 1931, 540, 1239, 568, 711, 4957, 676, 4994, 532, 780, 304, 273, 269, 6904, 18570, 1505, 568, 519, 1034, 2500, 2496, 12585, 281, 1109, 5226, 6506, 677, 568, 835, 540, 519, 1034, 3608, 18570, 6620, 267, 543, 607, 513, 1267, 267, 621, 568, 849, 835, 540, 519, 1034, 2442, 269, 634, 1101, 1900, 568, 547, 3442, 513, 22141, 1297, 269, 901, 1297, 786, 5094, 519, 1239, 267, 609, 4130, 2338, 593, 519, 2451, 543, 3677, 2338, 593, 519, 1318, 780, 304, 274, 269, 1548, 666, 649, 798, 547, 1118, 19467, 4990, 1732, 2496, 12585, 281, 1280, 1507, 1016, 541, 7590, 267, 946, 24450, 4990, 269, 4107, 25276, 6620, 666, 581, 4824, 676, 8156, 1507, 2665, 8335, 269, 1280, 1507, 1016, 541, 7590, 267, 15175, 547, 24450, 4990, 786, 2569, 519, 4881, 942, 540, 513, 6093, 12388, 525, 677, 6388, 676, 476, 1015, 260, 547, 476, 1428, 10065, 6744, 952, 519, 5044, 568, 2907, 538, 519, 2953, 1931, 780, 1012, 6206, 6875, 25498, 692, 1607, 2376, 5941, 519, 1935, 547, 4466, 519, 1297, 540, 3765, 31419, 2609, 689, 519, 4994, 1310, 18570, 1210, 513, 10151, 5044, 609, 1806, 547, 1174, 922, 595, 10030, 3009, 1732, 780, 2252, 596, 616, 606, 6207, 19444, 267, 5461, 538, 8193, 267, 543, 1616, 547, 1451, 667, 6347, 267, 596, 666, 1413, 585, 938, 11461, 2619, 585, 667, 6347, 267, 799, 568, 1863, 2439, 27775, 2105, 9046, 910, 1109, 300, 10235, 918, 590, 9285, 1488, 7590, 0, 31388, 267, 4864, 476, 1240, 267, 476, 1220, 279, 692, 307, 11391, 334, 3146, 331, 894, 12557, 692, 763, 942, 8884, 1063, 2621, 666, 581, 6829, 607, 606, 2179, 540, 6207, 942, 267, 971, 607, 513, 1297, 540, 1984, 1047, 6948, 269, 769, 519, 2013, 540, 5781, 18110, 2621, 267, 519, 942, 8884, 1063, 20422, 2621, 568, 3586, 267, 543, 602, 942, 8884, 568, 1572, 519, 1974, 269, 630, 763, 2621, 616, 13350, 4700, 1284, 666, 2161, 602, 606, 2680, 4386, 2899, 1169, 1496, 704, 1675, 316, 1984, 1047, 6948, 780, 763, 11201, 540, 519, 1974, 630, 272, 5258, 676, 519, 1974, 264, 568, 1572, 519, 2557, 610, 734, 18034, 585, 10221, 1431, 693, 606, 8301, 2557, 267, 971, 607, 10221, 1431, 540, 513, 5951, 845, 734, 1492, 4908, 269, 23866, 4908, 568, 2356, 6829, 538, 5951, 845, 9979, 829, 2034, 267, 513, 21993, 18502, 269, 670, 1068, 345, 267, 28484, 21636, 780, 19030, 2080, 616, 513, 7008, 540, 1806, 540, 12719, 2557, 630, 528, 4908, 264, 543, 1974, 780, 2304, 1073, 4141, 4730, 519, 4063, 589, 1657, 1647, 595, 734, 1492, 4063, 547, 799, 519, 32316, 26107, 734, 335, 1238, 806, 513, 3159, 602, 5161, 540, 513, 18110, 5951, 845, 602, 29349, 476, 24496, 10221, 1431, 829, 2034, 269, 2334, 781, 1946, 596, 1419, 5873, 12372, 3277, 547, 834, 288, 268, 24496, 257, 607, 513, 4704, 3159, 269, 634, 5951, 845, 28197, 476, 24496, 2053, 829, 2034, 267, 865, 922, 4909, 4908, 568, 476, 24496, 21636, 630, 31260, 829, 2034, 1070, 865, 922, 1974, 568, 476, 272, 270, 24496, 7643, 829, 4783, 267, 799, 568, 476, 271, 269, 16573, 2767, 7643, 267, 1775, 4318, 1421, 476, 273, 269, 2767, 1984, 1047, 6948, 269, 4107, 540, 519, 942, 649, 1416, 811, 827, 513, 3159, 781, 4908, 1317, 602, 11887, 922, 9228, 12334, 282, 855, 538, 2780, 2575, 267, 1141, 649, 2811, 1419, 7231, 609, 3280, 693, 513, 18784, 1377, 267, 649, 3006, 991, 547, 917, 922, 1974, 780, 2252, 513, 2110, 4063, 28197, 1169, 10116, 4063, 630, 328, 4318, 1421, 1169, 10726, 264, 693, 519, 2557, 540, 476, 1911, 20054, 829, 8792, 630, 1911, 536, 10975, 267, 513, 9425, 2656, 2557, 1070, 922, 2557, 568, 476, 1911, 20054, 829, 476, 2568, 7643, 267, 1775, 4318, 1421, 476, 1911, 270, 2568, 20054, 829, 2034, 267, 865, 922, 1974, 734, 1492, 942, 1063, 519, 12614, 540, 1142, 4063, 734, 529, 519, 11201, 540, 602, 267, 1775, 4318, 1421, 476, 2568, 270, 1911, 540, 513, 2034, 829, 10726, 267, 1775, 4318, 269, 476, 271, 269, 277, 7643, 267, 1775, 4318, 1421, 476, 7785, 20444, 269, 1924, 952, 649, 4941, 606, 16079, 540, 1142, 4063, 547, 2049, 4010, 538, 1063, 519, 4967, 734, 517, 519, 21632, 4063, 1063, 1142, 10116, 4063, 734, 933, 9364, 917, 602, 649, 991, 547, 8488, 519, 3280, 676, 476, 272, 270, 273, 540, 476, 7785, 20444, 267, 799, 568, 476, 4968, 20444, 780, 2252, 649, 616, 11049, 513, 3381, 609, 513, 7406, 2557, 540, 476, 1789, 14604, 829, 2034, 630, 1789, 535, 1186, 1070, 649, 666, 2769, 519, 2557, 607, 476, 1789, 14604, 1315, 476, 272, 2034, 267, 865, 519, 1974, 568, 519, 11201, 540, 602, 281, 476, 272, 2034, 1315, 476, 1789, 14604, 630, 328, 4318, 1421, 476, 272, 270, 1789, 540, 513, 2034, 829, 7406, 1070, 865, 649, 917, 602, 519, 942, 6170, 593, 1142, 7406, 568, 476, 272, 270, 1789, 2034, 267, 1775, 4318, 1421, 476, 271, 269, 30033, 3451, 3813, 1421, 1775, 4318, 1421, 476, 3451, 269, 3451, 20444, 780, 3383, 1934, 781, 513, 1966, 547, 1449, 707, 1620, 269, 1403, 513, 3381, 609, 513, 7406, 2557, 540, 476, 1789, 535, 1186, 568, 10483, 676, 2575, 609, 513, 10726, 2557, 540, 476, 1911, 536, 10975, 267, 875, 1082, 14604, 1714, 8985, 609, 1142, 10726, 540, 519, 2575, 286, 1284, 917, 602, 519, 1974, 540, 519, 10726, 568, 476, 7785, 20444, 267, 543, 519, 1974, 540, 519, 3381, 14604, 568, 476, 3451, 269, 3451, 20444, 267, 865, 649, 3274, 991, 547, 5173, 875, 1082, 2053, 476, 3451, 269, 3451, 4422, 883, 476, 7785, 547, 1265, 856, 519, 1297, 540, 14604, 829, 10726, 269, 476, 7785, 270, 3451, 269, 3451, 815, 476, 1240, 269, 1924, 693, 602, 10726, 2557, 267, 513, 10116, 4063, 568, 3160, 547, 476, 1240, 14604, 540, 3381, 267, 606, 21632, 4063, 568, 3160, 547, 476, 280, 14604, 267, 513, 17784, 339, 21632, 4967, 568, 3160, 547, 476, 277, 14604, 267, 543, 865, 593, 780, 19030, 763, 6482, 540, 942, 538, 7643, 610, 1984, 1047, 6948, 568, 6662, 543, 12170, 267, 855, 972, 781, 4986, 827, 1346, 4559, 540, 2268, 602, 814, 1022, 7915, 2078, 547, 1480, 8226, 267, 543, 621, 781, 711, 8209, 2141, 519, 1034, 3730, 1259, 547, 1865, 942, 585, 7574, 5301, 780, 1103, 1034, 2575, 972, 568, 930, 2631, 540, 513, 11931, 13350, 10726, 269, 630, 2026, 609, 782, 2489, 3074, 3823, 2575, 267, 17756, 616, 2653, 547, 1265, 267, 855, 1577, 781, 3398, 519, 3948, 585, 519, 942, 1373, 4700, 1280, 1034, 1480, 12656, 11526, 2575, 267, 519, 12170, 8669, 1465, 610, 1526, 3599, 540, 519, 10726, 2557, 568, 19796, 1190, 538, 4890, 2259, 282, 12372, 3500, 1524, 543, 3432, 909, 782, 519, 942, 267, 1312, 29596, 543, 796, 4621, 19290, 269, 1809, 1256, 950, 519, 2575, 3322, 11029, 5787, 725, 543, 632, 5120, 725, 267, 519, 12372, 616, 3622, 2324, 609, 606, 1620, 540, 630, 663, 267, 952, 972, 616, 2789, 12372, 4730, 267, 513, 13618, 827, 264, 513, 12497, 3586, 10726, 2557, 538, 519, 2575, 267, 799, 568, 11214, 1373, 30833, 676, 519, 3280, 269, 634, 10726, 2557, 568, 22905, 538, 6207, 942, 267, 855, 12372, 6140, 917, 543, 1745, 519, 10726, 2557, 16022, 569, 267, 1510, 7893, 621, 676, 513, 9219, 269, 4495, 519, 10726, 2557, 568, 3964, 538, 519, 2247, 540, 513, 22459, 610, 513, 26575, 267, 824, 2621, 267, 3928, 267, 543, 5712, 616, 16022, 569, 7229, 3448, 547, 519, 10726, 2557, 267, 2864, 982, 676, 6207, 9219, 942, 269, 1924, 13718, 2690, 7574, 5301, 267, 621, 781, 1419, 1034, 3730, 547, 3715, 519, 10726, 2557, 267, 513, 21993, 18502, 1421, 519, 32171, 267, 543, 1287, 1589, 540, 782, 4559, 540, 942, 3448, 547, 602, 32171, 269, 901, 568, 10630, 538, 5375, 2575, 10035, 267, 538, 799, 546, 15342, 616, 711, 730, 3448, 547, 513, 10726, 267, 855, 519, 24754, 10035, 568, 4830, 540, 519, 32171, 267, 799, 568, 2854, 693, 519, 4098, 540, 519, 4062, 610, 3296, 269, 4495, 649, 3715, 513, 32171, 543, 649, 1289, 519, 10726, 513, 10116, 4063, 267, 1287, 649, 666, 1865, 546, 15342, 543, 942, 11996, 538, 2474, 540, 4063, 2418, 971, 607, 31303, 4063, 267, 2898, 4063, 267, 3092, 269, 1510, 17596, 547, 1118, 513, 1463, 4704, 547, 9219, 942, 269, 901, 1259, 540, 7234, 942, 568, 1572, 32171, 3146, 331, 894, 942, 267, 607, 10353, 547, 6207, 630, 22018, 264, 942, 269, 1403, 649, 1689, 519, 32171, 855, 1832, 519, 32171, 3146, 331, 894, 10035, 519, 1482, 267, 519, 6207, 942, 11996, 1689, 267, 855, 519, 5223, 3347, 540, 1346, 942, 11996, 3251, 519, 1482, 269, 1403, 519, 10726, 32171, 568, 1634, 267, 971, 607, 834, 638, 6621, 4063, 815, 476, 1911, 257, 630, 1911, 536, 10975, 1070, 1287, 621, 781, 2009, 547, 5173, 782, 32171, 3146, 331, 894, 942, 11996, 607, 6207, 942, 11996, 267, 543, 13030, 17930, 269, 634, 5413, 540, 1210, 32171, 3146, 331, 894, 942, 10035, 568, 602, 513, 264, 621, 781, 519, 1259, 12372, 12926, 1589, 540, 942, 267, 536, 264, 621, 2306, 942, 3347, 10423, 1317, 789, 2811, 6829, 607, 2241, 12753, 267, 543, 524, 264, 621, 2636, 11733, 543, 32171, 547, 581, 6829, 10446, 269, 769, 2780, 2575, 267, 713, 814, 519, 5413, 602, 676, 4657, 513, 2582, 1297, 734, 1492, 32171, 734, 933, 666, 1689, 519, 6207, 12557, 540, 782, 18819, 1247, 6028, 741, 32171, 3146, 331, 894, 12557, 519, 1482, 780, 1607, 1982, 2982, 875, 547, 1711, 31764, 17279, 540, 606, 2680, 538, 7665, 267, 1210, 32171, 3146, 331, 894, 12557, 780, 314, 9616, 602, 585, 713, 1982, 547, 960, 5265, 267, 621, 2115, 547, 581, 2111, 547, 1569, 1079, 824, 6119, 267, 513, 3280, 3758, 543, 606, 3239, 3758, 269, 1411, 1058, 4647, 891, 1079, 630, 854, 1507, 264, 2923, 6119, 4534, 2879, 732, 18502, 604, 543, 6263, 2183, 27970, 4534, 543, 1747, 873, 538, 519, 1482, 17835, 607, 519, 1982, 3758, 269, 6540, 1607, 1982, 568, 519, 1482, 607, 519, 1982, 538, 519, 3105, 3992, 593, 31764, 17279, 693, 513, 11931, 2557, 267, 855, 621, 20475, 942, 11996, 1210, 513, 3844, 9219, 267, 1634, 607, 519, 3560, 538, 7665, 267, 3079, 540, 6207, 942, 538, 1984, 1047, 6948, 780, 1103, 519, 5580, 28878, 6712, 540, 519, 6885, 568, 519, 3560, 1843, 269, 1879, 621, 568, 3323, 267, 621, 2488, 513, 3844, 9219, 602, 8952, 3950, 540, 519, 8574, 540, 942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 279, 281, 18321, 15369, 10658, 26072, 1299, 10632, 692, 5970, 596, 2479, 5129, 513, 3381, 3014, 1759, 593, 513, 1650, 689, 519, 6426, 286, 2107, 875, 827, 513, 11015, 602, 11414, 596, 827, 707, 5132, 286, 1403, 711, 267, 1287, 1205, 4712, 1317, 649, 2811, 2469, 547, 2263, 519, 1158, 540, 5132, 2861, 13410, 543, 3756, 2439, 5331, 4730, 513, 3014, 1141, 596, 948, 25424, 1628, 1010, 818, 330, 267, 610, 4194, 13410, 1247, 1565, 827, 4906, 781, 28986, 269, 1452, 2010, 540, 3756, 666, 4001, 721, 1271, 4245, 538, 1187, 543, 7317, 2081, 269, 1358, 849, 1450, 721, 547, 2671, 938, 5132, 609, 1866, 998, 1404, 780, 3080, 1383, 540, 513, 5132, 2861, 11015, 568, 1572, 834, 763, 23452, 4975, 540, 27098, 1701, 901, 3014, 3217, 1747, 1282, 13400, 2053, 543, 2591, 5716, 547, 1265, 6456, 3615, 1369, 4190, 8916, 269, 3962, 1843, 814, 513, 4276, 547, 513, 6426, 14235, 610, 1650, 267, 4543, 5716, 1451, 811, 827, 741, 5132, 1247, 2348, 1187, 6061, 13410, 780, 5194, 1826, 540, 5132, 2861, 3014, 568, 835, 602, 6645, 513, 1650, 689, 519, 6426, 269, 1280, 3236, 267, 972, 616, 1082, 3756, 1759, 593, 519, 1650, 540, 6424, 543, 717, 10008, 987, 269, 24812, 1491, 593, 519, 1909, 540, 6424, 543, 1590, 946, 4640, 543, 5578, 547, 14710, 717, 10008, 987, 269, 3414, 713, 1995, 267, 789, 1451, 827, 10100, 267, 5132, 267, 543, 8990, 780, 3719, 1946, 1711, 5132, 2861, 13410, 543, 3756, 286, 4270, 267, 1175, 899, 1022, 824, 3872, 1907, 267, 891, 3756, 666, 4001, 3407, 4245, 543, 3741, 269, 1635, 9256, 9913, 609, 2069, 267, 649, 666, 4497, 1453, 543, 4079, 7567, 538, 3695, 741, 5132, 269, 3958, 267, 2870, 891, 3756, 3340, 5876, 267, 1966, 9010, 1983, 267, 543, 16542, 910, 782, 1898, 7592, 585, 1967, 538, 2221, 781, 1158, 780, 2252, 596, 2811, 5461, 538, 1818, 707, 1378, 5132, 2861, 11015, 610, 3014, 267, 1934, 616, 930, 3268, 547, 1246, 1384, 272, 269, 7994, 513, 9452, 610, 27484, 281, 32341, 799, 6426, 1650, 610, 6249, 596, 1616, 547, 1445, 593, 269, 6056, 827, 1018, 5048, 596, 4126, 547, 6655, 543, 945, 707, 5304, 786, 581, 563, 273, 269, 5071, 2659, 10794, 281, 28220, 856, 519, 11768, 540, 707, 3014, 267, 1519, 3197, 267, 9465, 267, 543, 2157, 269, 6333, 1210, 3308, 2609, 971, 607, 4778, 543, 6698, 547, 2099, 1114, 3344, 540, 707, 5132, 563, 274, 269, 3503, 1849, 1132, 610, 12694, 281, 8073, 10881, 610, 2591, 602, 2154, 2565, 3206, 543, 8086, 269, 5269, 2386, 789, 1921, 547, 707, 6074, 1650, 610, 6249, 563, 275, 269, 4530, 2659, 10794, 281, 7591, 11687, 707, 3014, 609, 2828, 543, 1920, 2818, 547, 2327, 621, 781, 11791, 543, 2500, 693, 3450, 707, 5497, 3992, 563, 276, 269, 9523, 2659, 20520, 281, 4495, 596, 4312, 3501, 539, 707, 3014, 267, 2671, 621, 609, 1866, 256, 1411, 1522, 1256, 2015, 16475, 513, 3014, 3781, 610, 6735, 547, 6338, 1866, 547, 707, 5137, 780, 8855, 267, 2870, 5132, 2861, 13410, 543, 3756, 568, 782, 827, 4687, 707, 4978, 538, 513, 3860, 543, 2502, 1259, 269, 1924, 1810, 1405, 581, 12922, 547, 4603, 543, 2119, 1007, 1919, 269, 5808, 6487, 910, 596, 1522, 3605, 513, 6612, 585, 3014, 1374, 2059, 519, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 729, 8385, 2854, 676, 19846, 928, 28243, 543, 11540, 593, 717, 24252, 583, 571, 476, 6734, 270, 2641, 270, 1626, 476, 6349, 281, 1704, 281, 876, 10681, 454, 288, 3126, 540, 20775, 2621, 723, 4780, 3022, 538, 1250, 1272, 547, 2046, 803, 883, 2921, 1007, 2962, 593, 1250, 966, 2888, 3014, 1646, 1788, 269, 2368, 540, 891, 3527, 616, 11319, 803, 883, 14542, 8513, 269, 1809, 621, 3884, 1406, 899, 594, 4076, 2760, 1305, 856, 547, 798, 1945, 594, 4076, 2760, 2944, 1354, 269, 2334, 1360, 5176, 6257, 1169, 13120, 649, 4076, 1500, 538, 519, 966, 2888, 1788, 269, 634, 21777, 1900, 2705, 568, 585, 803, 547, 3343, 856, 1857, 6340, 2621, 547, 2911, 827, 966, 2888, 269, 2991, 10283, 538, 513, 476, 276, 269, 276, 5662, 1357, 14373, 593, 1857, 6340, 594, 1305, 856, 547, 2328, 513, 4633, 1739, 519, 4808, 594, 4121, 689, 602, 1357, 14373, 269, 594, 3838, 602, 4633, 609, 513, 8284, 3014, 17354, 269, 1261, 8815, 547, 1224, 621, 543, 2709, 930, 4388, 585, 6454, 267, 610, 2489, 5955, 269, 594, 1589, 649, 1312, 941, 4990, 540, 24584, 513, 10792, 3210, 543, 7199, 1196, 1080, 269, 2991, 2542, 621, 2705, 646, 29429, 1394, 593, 547, 519, 28034, 649, 941, 14379, 593, 543, 1767, 519, 1152, 5796, 646, 1185, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 28216, 15369, 10658, 26072, 1299, 10632, 257, 607, 851, 540, 834, 16300, 13493, 1315, 16241, 1315, 4168, 1315, 10632, 1299, 11242, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 2107, 15605, 18181, 10613, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 581, 2111, 547, 3434, 610, 15605, 1210, 1585, 2409, 543, 1174, 875, 547, 6451, 621, 883, 8949, 8286, 2439, 7072, 912, 5970, 596, 2479, 6836, 610, 15605, 286, 898, 781, 513, 1826, 540, 1507, 267, 7573, 11057, 18437, 2442, 538, 7969, 11951, 269, 4653, 267, 649, 616, 2469, 547, 1451, 827, 1114, 2081, 547, 3434, 610, 15605, 865, 602, 596, 666, 23666, 707, 1920, 543, 2828, 609, 707, 16012, 11477, 1983, 256, 1284, 3513, 2263, 2185, 2653, 2409, 1765, 2692, 4979, 267, 11256, 267, 1094, 583, 2946, 532, 267, 543, 1567, 582, 1729, 2511, 11652, 1683, 26345, 11600, 2093, 2059, 519, 1259, 269, 2913, 781, 4685, 1318, 538, 2439, 19686, 476, 272, 281, 4425, 4979, 2107, 15605, 630, 9617, 899, 2834, 18437, 26695, 3721, 476, 272, 281, 19130, 513, 1804, 1494, 609, 1216, 543, 3142, 621, 547, 513, 12902, 14974, 269, 5457, 267, 2141, 946, 7899, 540, 1216, 950, 5986, 18437, 563, 3721, 476, 273, 281, 5410, 6070, 547, 6492, 282, 5111, 835, 23188, 829, 11013, 540, 18437, 568, 5227, 563, 3721, 476, 274, 281, 32449, 538, 707, 5551, 2179, 540, 610, 15605, 543, 13489, 12212, 1282, 5986, 547, 2061, 23578, 563, 3721, 476, 275, 281, 6744, 519, 10189, 5528, 585, 16977, 5986, 942, 855, 1376, 4152, 1310, 827, 2947, 3764, 269, 2107, 15605, 2356, 3217, 1063, 5722, 547, 4557, 3764, 547, 1831, 620, 7202, 324, 630, 322, 10541, 2394, 1175, 6109, 1916, 3721, 476, 276, 281, 4495, 11273, 267, 8963, 519, 610, 15605, 538, 513, 897, 6387, 543, 27125, 896, 4411, 4881, 1216, 952, 711, 1210, 5612, 269, 3767, 596, 723, 9985, 11273, 610, 15605, 4712, 547, 3575, 609, 824, 5820, 780, 3725, 10360, 22830, 281, 5259, 2107, 15605, 6428, 611, 454, 307, 1601, 11273, 610, 15605, 609, 22872, 29475, 267, 22269, 14274, 267, 2699, 22323, 267, 535, 9508, 10381, 267, 10153, 1161, 267, 14462, 3282, 267, 11993, 10433, 267, 543, 12015, 7626, 1146, 334, 269, 17897, 609, 6070, 543, 14723, 547, 6492, 269, 17949, 607, 513, 24253, 2427, 8670, 610, 3640, 621, 585, 12899, 2439, 314, 25594, 609, 10613, 476, 273, 268, 275, 267, 1739, 519, 1482, 3898, 607, 6396, 476, 272, 269, 3962, 1505, 1058, 1331, 2241, 3268, 543, 1187, 11600, 2093, 269, 6540, 19686, 476, 273, 281, 645, 1136, 2107, 15605, 454, 24823, 622, 610, 15605, 883, 22101, 518, 3421, 543, 19323, 8286, 676, 840, 2275, 8504, 621, 5594, 1354, 11544, 609, 14036, 543, 824, 3334, 269, 1280, 1383, 267, 2119, 1818, 513, 29380, 344, 19323, 610, 15605, 8670, 609, 2261, 514, 4673, 14036, 267, 4779, 3960, 732, 12848, 267, 543, 2666, 21429, 610, 17724, 773, 1835, 3518, 956, 269, 962, 636, 2439, 19686, 476, 274, 281, 590, 2246, 2946, 532, 2107, 15605, 454, 9558, 845, 10750, 610, 15605, 883, 513, 2656, 1236, 32576, 7594, 676, 21066, 536, 20621, 621, 538, 7423, 610, 3282, 1354, 4946, 26185, 267, 9174, 267, 610, 1256, 31629, 17339, 269, 853, 597, 4749, 1247, 31652, 532, 936, 1970, 3002, 2394, 782, 5277, 814, 1044, 12842, 269, 570, 1601, 538, 930, 1989, 730, 533, 1301, 525, 534, 10381, 267, 4195, 11922, 267, 543, 19787, 585, 3773, 8137, 780, 19686, 476, 275, 281, 20322, 582, 1729, 13910, 2107, 15605, 454, 8620, 513, 27598, 267, 1232, 611, 550, 8670, 24188, 540, 2757, 1567, 582, 1729, 676, 7444, 4946, 3636, 9269, 610, 10448, 6006, 547, 13148, 11273, 610, 15605, 1247, 11179, 28817, 269, 5685, 880, 1055, 609, 7423, 267, 533, 1301, 525, 534, 10381, 267, 543, 1022, 9053, 23937, 971, 607, 17228, 267, 17112, 267, 610, 20544, 269, 5548, 5534, 2439, 310, 1905, 5455, 912, 3086, 602, 596, 917, 1896, 2081, 547, 5965, 610, 15605, 267, 4161, 3054, 547, 1711, 2189, 6980, 1210, 1142, 4480, 269, 5213, 1405, 7340, 547, 2671, 707, 13144, 609, 1920, 543, 2828, 256, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 523, 8949, 10346, 585, 7674, 2898, 10568, 535, 639, 650, 328, 610, 4232, 7236, 18437, 267, 609, 513, 2647, 3099, 540, 14312, 543, 17705, 9311, 9323, 269, 31204, 4019, 8449, 1134, 547, 1875, 19351, 1961, 10568, 2250, 553, 563, 289, 13154, 543, 22648, 568, 513, 5929, 1426, 4999, 543, 519, 1079, 666, 581, 5916, 547, 8949, 1198, 538, 513, 1390, 1082, 1114, 2081, 269, 901, 2985, 5654, 693, 476, 1015, 32263, 2081, 538, 799, 547, 9192, 1394, 28019, 609, 3043, 22648, 563, 300, 7236, 3574, 25190, 517, 533, 625, 5423, 1614, 1114, 2081, 543, 6220, 476, 1015, 8949, 30836, 10346, 269, 22291, 11617, 10694, 543, 13267, 7674, 10372, 563, 27288, 979, 846, 6089, 568, 13035, 267, 5779, 344, 267, 543, 11212, 17705, 269, 1306, 1134, 607, 8108, 513, 32263, 1292, 1576, 267, 621, 568, 849, 11613, 8949, 593, 513, 26889, 269, 901, 2985, 2934, 476, 1015, 3312, 2093, 585, 8600, 513, 3552, 979, 846, 26889, 563, 303, 515, 9586, 568, 513, 7646, 7657, 10696, 3552, 3014, 6177, 602, 666, 581, 11273, 538, 513, 1390, 1082, 1114, 2081, 269, 901, 2985, 5654, 693, 476, 1015, 1360, 1114, 267, 17705, 10346, 585, 5986, 909, 543, 7674, 891, 6089, 2083, 7410, 563, 307, 523, 8949, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7775, 15605, 18181, 10613, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 12815, 320, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 661, 330, 874, 2858, 545, 17826, 910, 20780, 532, 3203, 547, 5020, 998, 9293, 692, 5970, 596, 2479, 6743, 693, 513, 4062, 540, 11247, 543, 5433, 6273, 547, 2328, 827, 621, 286, 2107, 723, 596, 1224, 513, 6648, 602, 1500, 596, 1294, 513, 7206, 610, 17001, 538, 513, 2898, 1007, 1769, 286, 1403, 865, 267, 1287, 596, 4312, 2907, 4810, 552, 330, 874, 6652, 529, 2439, 292, 330, 874, 6652, 529, 630, 29455, 552, 1188, 6363, 6938, 312, 1606, 529, 264, 568, 513, 1826, 540, 6965, 1141, 519, 5856, 5932, 513, 12667, 6609, 540, 513, 960, 540, 1148, 267, 971, 607, 513, 7206, 267, 8523, 267, 610, 1256, 513, 5152, 269, 901, 5339, 3926, 4422, 782, 519, 1259, 1394, 547, 3504, 10255, 267, 950, 15023, 1131, 2328, 18627, 9299, 2358, 4583, 1568, 540, 1148, 269, 1635, 1210, 10855, 1893, 543, 10444, 3877, 267, 891, 5830, 6322, 547, 3142, 519, 1148, 547, 1272, 543, 948, 741, 3988, 4952, 621, 607, 952, 789, 941, 7487, 621, 2933, 780, 4131, 781 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 263, 5141, 2216, 264, 4569, 948, 1107, 4896, 286, 16797, 2656, 2439, 14006, 539, 476, 276, 1296, 3516, 538, 634, 700, 1735, 613, 454, 8070, 1948, 476, 275, 454, 300, 1897, 454, 15647, 272, 9708, 454, 289, 18443, 13520, 454, 1892, 11205, 3429, 281, 4873, 476, 1001, 272, 692, 320, 568, 2953, 692, 8070, 1948, 476, 276, 454, 300, 1897, 454, 276, 2537, 9708, 454, 289, 639, 344, 13520, 454, 1892, 11205, 3429, 281, 4728, 476, 1001, 274, 910, 11910, 534, 342, 1245, 324, 20963, 8551, 4741, 692, 5575, 596, 991, 547, 3313, 1018, 519, 2418, 540, 1535, 543, 586, 616, 780, 343, 266, 277, 344, 284, 2420, 4061, 1535, 284, 2420, 268, 277, 344, 692, 303, 29888, 602, 1394, 883, 519, 1101, 3830, 281, 476, 276, 263, 2420, 268, 277, 344, 11924, 275, 344, 284, 3953, 692, 24169, 585, 586, 912, 8099, 268, 1789, 344, 266, 275, 344, 284, 3953, 454, 8099, 268, 2918, 344, 284, 3953, 454, 4281, 284, 2918, 344, 454, 274, 284, 344, 630, 6767, 529, 903, 2020, 8196, 586, 547, 4194, 585, 1535, 281, 1535, 284, 275, 269, 630, 549, 4513, 2020, 13425, 707, 960, 1210, 519, 824, 3830, 269, 634, 2626, 568, 1287, 589, 692, 8070, 1948, 476, 278, 454, 300, 1897, 454, 276, 2918, 9708, 454, 289, 639, 344, 13520, 692, 2791, 4941, 547, 917, 519, 1184, 269, 1109, 3371, 621, 568, 1384, 2791, 723, 1079, 4834, 1384, 276, 343, 266, 275, 344, 284, 3953, 692, 343, 266, 277, 344, 284, 2420, 692, 2171, 1631, 917, 602, 1535, 284, 2420, 268, 277, 344, 780, 27802, 3482, 602, 538, 609, 707, 1101, 3830, 1384, 276, 263, 2420, 268, 277, 344, 11924, 275, 344, 284, 3953, 692, 8099, 268, 1789, 344, 266, 275, 344, 284, 3953, 692, 8099, 268, 2918, 344, 284, 3953, 692, 8099, 268, 8099, 268, 2918, 344, 284, 3953, 268, 8099, 692, 268, 2918, 344, 15871, 4281, 692, 344, 284, 274, 692, 8070, 1948, 476, 1015, 454, 300, 1897, 454, 276, 2918, 9708, 454, 289, 639, 344, 13520, 692, 287, 701, 778, 29403, 281, 1109, 1109, 10498, 267, 594, 6557, 711, 476, 1911, 260, 593, 713, 835, 269, 1109, 594, 979, 690, 1194, 519, 2979, 1966, 547, 1265, 519, 6516, 267, 2094, 594, 1589, 713, 568, 2965, 2731, 1271, 780, 2171, 917, 519, 9386, 28812, 476, 273, 270, 274, 269, 1109, 2334, 1797, 593, 513, 3113, 267, 621, 786, 581, 476, 273, 909, 543, 476, 274, 936, 269, 1109, 1403, 519, 4463, 540, 476, 273, 2798, 568, 476, 277, 3952, 267, 1287, 519, 3259, 1063, 1142, 1448, 1590, 581, 476, 274, 3952, 269, 1109, 1924, 952, 519, 3259, 519, 3440, 18202, 568, 1614, 2798, 267, 519, 3259, 1590, 581, 476, 280, 3952, 780, 28989, 1107, 594, 7012, 1406, 1390, 693, 24275, 543, 1210, 9386, 547, 4194, 2042, 8627, 1109, 594, 6557, 9425, 2386, 602, 713, 568, 519, 1318, 2626, 267, 855, 594, 6557, 2386, 972, 568, 513, 1732, 1259, 547, 1265, 621, 256, 2439, 8070, 1948, 476, 1556, 454, 300, 1897, 454, 27244, 276, 9708, 454, 306, 13610, 13520, 454, 1892, 11205, 3429, 281, 5181, 476, 1001, 273, 692, 287, 701, 778, 29403, 281, 1109, 1280, 519, 12902, 3440, 1966, 267, 596, 2461, 2469, 547, 1616, 547, 946, 519, 3830, 585, 513, 1899, 1384, 344, 815, 544, 343, 1341, 536, 1109, 1141, 544, 568, 519, 9386, 540, 519, 1899, 630, 273, 270, 274, 264, 543, 536, 568, 1141, 519, 1899, 12969, 338, 519, 586, 14289, 780, 2171, 786, 8263, 602, 536, 815, 476, 271, 2094, 621, 2731, 3085, 1406, 2339, 1141, 4010, 519, 1899, 12969, 338, 519, 586, 14289, 269, 1109, 1284, 616, 3168, 585, 513, 18232, 270, 4219, 543, 711, 1808, 10974, 269, 1109, 6496, 602, 1118, 2631, 2496, 3383, 1631, 596, 723, 513, 17681, 3830, 540, 1384, 344, 815, 630, 273, 270, 274, 12684, 343, 692, 2791, 917, 586, 693, 476, 273, 2798, 630, 1015, 543, 476, 275, 264, 543, 1631, 596, 1175, 991, 547, 1265, 519, 1535, 4087, 585, 1346, 476, 273, 2798, 630, 343, 272, 543, 1535, 273, 6393, 1015, 815, 630, 273, 270, 274, 264, 2608, 1535, 272, 476, 3396, 543, 3396, 1741, 476, 275, 815, 630, 273, 270, 274, 264, 2608, 1535, 273, 692, 343, 272, 815, 476, 1428, 18987, 7673, 3396, 1535, 273, 815, 476, 277, 692, 2414, 4137, 856, 875, 2484, 519, 3440, 814, 18202, 23276, 2059, 519, 1535, 267, 596, 1175, 1265, 519, 3017, 1063, 1535, 272, 543, 1535, 273, 780, 343, 272, 1107, 1535, 273, 815, 476, 280, 269, 1109, 1924, 519, 2626, 568, 536, 780, 2791, 1810, 1406, 991, 547, 2721, 519, 3113, 267, 855, 621, 1522, 849, 581, 6225, 547, 2721, 621, 856, 607, 32275, 3333, 22324, 321, 31708, 1705, 1175, 547, 1205, 513, 3308, 269, 1109, 1717, 267, 596, 1810, 1406, 1616, 547, 7048, 593, 28321, 4805, 269, 1109, 898, 1568, 23182, 538, 713, 1966, 267, 855, 621, 4465, 1406, 2141, 780, 763, 1888, 2048, 13043, 948, 1107, 4896, 286, 16797, 2656, 256, 685, 568, 6806, 547, 1007, 30491, 780, 8340, 29055, 966, 754, 832, 0, 260, 3901, 15003, 538, 1467, 692, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 1623, 6853, 1104, 27661, 8181, 318, 2745, 532, 3890, 4449, 1363, 1948, 2636, 8228, 540, 6641, 13695, 2164, 538, 2010, 564, 13004, 3898, 454, 10823, 269, 21683, 13640, 4461, 269, 26303, 20719, 262, 325, 2632, 25915, 9166, 476, 1626, 16585, 476, 1948, 1305, 13944, 2450, 585, 13602, 7531, 258, 476, 274, 16949, 676, 18839, 543, 2048, 2421, 2694, 9957, 7756, 2747, 543, 519, 2274, 30519, 714, 4542, 269, 3171, 2106, 2006, 779, 2048, 307, 4459, 685, 258, 692, 1012, 476, 274, 269, 272, 7581, 591, 18839, 666, 948, 547, 4194, 606, 7533, 258, 692, 2005, 949, 2408, 693, 1101, 602, 952, 606, 7533, 568, 711, 538, 513, 3044, 1106, 1287, 621, 3112, 581, 12193, 910, 711, 865, 256, 634, 3483, 540, 18839, 568, 547, 6460, 519, 7533, 883, 513, 3044, 543, 4061, 12863, 1106, 4171, 3070, 568, 1634, 269, 19805, 513, 18839, 568, 2864, 606, 1148, 543, 930, 4693, 543, 5470, 568, 2356, 2838, 269, 1717, 267, 1175, 607, 538, 11176, 267, 513, 15931, 18839, 666, 3132, 519, 2838, 1267, 780, 2467, 616, 1614, 2694, 547, 519, 1505, 267, 799, 786, 581, 11609, 609, 6695, 6234, 315, 842, 1422, 7562, 317, 273, 3287, 9385, 6523, 3287, 264, 11459, 29634, 11377, 15153, 2330, 263, 272, 264, 7827, 513, 1950, 4082, 538, 3230, 343, 2330, 883, 513, 12863, 835, 538, 1776, 4756, 3230, 340, 2330, 676, 513, 18839, 10484, 11377, 29911, 2330, 1280, 1383, 267, 6695, 7562, 317, 273, 3287, 9385, 6523, 3287, 14638, 568, 16866, 609, 3230, 340, 815, 1422, 6523, 3287, 14638, 547, 30967, 272, 910, 579, 317, 273, 264, 340, 29634, 11377, 15153, 2330, 263, 273, 264, 4518, 719, 3230, 11459, 2330, 607, 606, 4082, 538, 3230, 706, 21974, 769, 938, 1383, 267, 3230, 706, 284, 10559, 7562, 3287, 264, 11459, 29634, 11377, 15153, 2330, 263, 274, 264, 7827, 782, 7182, 547, 519, 1007, 4756, 780, 763, 6165, 540, 3230, 706, 2330, 543, 3230, 11459, 2330, 607, 4830, 9988, 538, 2933, 538, 1900, 630, 273, 264, 5526, 547, 581, 1114, 547, 602, 540, 3230, 706, 7933, 343, 18079, 799, 814, 5892, 1044, 1031, 607, 513, 5223, 269, 1717, 267, 621, 568, 3833, 7989, 24777, 547, 946, 3230, 706, 2330, 543, 3230, 11459, 2330, 543, 865, 8521, 593, 741, 1378, 267, 3177, 741, 5223, 1223, 1869, 581, 1500, 676, 22198, 4474, 519, 3830, 780, 2026, 513, 4341, 540, 14853, 609, 7294, 20534, 543, 25482, 7215, 267, 2119, 20534, 543, 25482, 2655, 4801, 269, 1403, 596, 616, 18822, 267, 707, 1101, 7058, 949, 581, 519, 2953, 835, 282, 952, 711, 267, 2119, 1586, 780, 9359, 676, 27378, 602, 519, 18839, 3230, 340, 815, 1422, 6523, 3287, 14638, 1522, 960, 267, 4061, 6695, 6234, 1422, 2765, 346, 706, 2410, 11459, 13157, 10559, 7562, 3287, 14638, 610, 3230, 11459, 15871, 706, 270, 315, 7562, 3287, 14638, 269, 8921, 2655, 23082, 585, 6695, 6523, 3287, 14638, 543, 3230, 11459, 2330, 3947, 692, 7445, 6234, 1422, 842, 1422, 7562, 317, 273, 3287, 9385, 6523, 3287, 264, 11459, 815, 28363, 842, 1422, 7562, 3287, 264, 644, 340, 815, 28363, 842, 1422, 6912, 18950, 272, 910, 579, 317, 273, 14587, 644, 340, 6911, 663, 538, 519, 2063, 1900, 6695, 6523, 317, 273, 3287, 264, 1341, 1422, 7562, 317, 273, 3287, 264, 815, 476, 272, 2330, 729, 1031, 269, 18564, 602, 1100, 5610, 814, 2943, 1044, 5340, 267, 1175, 519, 2655, 4801, 269, 1717, 267, 713, 2063, 7533, 5654, 607, 952, 621, 1522, 581, 2009, 855, 621, 568, 1869, 513, 3787, 7294, 267, 865, 3079, 540, 829, 13367, 532, 621, 568, 4443, 547, 2119, 1586, 543, 1294, 952, 513, 1732, 1267, 568, 2009, 269, 1411, 666, 2141, 2132, 547, 713, 1267, 952, 2556, 269, 1306, 513, 2034, 2119, 267, 12990, 3230, 340, 815, 1422, 7562, 3287, 14638, 543, 1287, 3230, 706, 815, 1422, 6523, 3287, 264, 11459, 2330, 543, 713, 7140, 856, 547, 581, 2484, 12863, 1384, 7445, 6234, 1422, 842, 315, 7562, 317, 273, 3287, 9385, 6523, 3287, 264, 11459, 7807, 842, 579, 317, 274, 706, 7807, 2765, 346, 340, 317, 274, 2410, 274, 18098, 2765, 3189, 7562, 317, 274, 3287, 20972, 274, 10592, 8794, 519, 1318, 268, 22931, 6906, 621, 568, 2009, 547, 12990, 25066, 3252, 585, 15821, 3283, 543, 13030, 17930, 269, 634, 12730, 543, 741, 7222, 4645, 3347, 616, 3254, 538, 3349, 476, 272, 780, 13706, 519, 7533, 6695, 6234, 1422, 842, 1422, 2765, 12757, 317, 273, 7346, 6912, 346, 275, 14870, 317, 273, 3686, 11459, 21974, 634, 18839, 6695, 11927, 7268, 9064, 6661, 343, 270, 315, 6912, 21151, 317, 273, 14870, 317, 273, 6525, 609, 3230, 320, 284, 273, 2330, 568, 13267, 269, 1717, 267, 950, 21630, 547, 12990, 3230, 323, 24592, 2330, 585, 3230, 11459, 2330, 621, 7472, 513, 29695, 1267, 269, 8347, 532, 6695, 6523, 7268, 9064, 21174, 6912, 346, 476, 273, 317, 273, 14870, 317, 273, 348, 270, 273, 2330, 3079, 18327, 547, 581, 513, 1434, 4358, 1747, 1317, 950, 21630, 3230, 323, 24592, 2330, 7472, 513, 23483, 4009, 3597, 602, 666, 26118, 609, 602, 538, 519, 7533, 269, 7756, 11868, 3947, 3230, 273, 315, 7562, 7268, 9064, 264, 323, 24592, 815, 1535, 270, 315, 6912, 346, 275, 910, 1535, 317, 273, 348, 11459, 2330, 4657, 519, 7533, 883, 692, 7445, 6234, 476, 273, 315, 842, 315, 7562, 3287, 32589, 323, 24592, 815, 275, 315, 842, 315, 7562, 7268, 9064, 9385, 6912, 346, 272, 10559, 6523, 317, 273, 7268, 9064, 14587, 546, 24592, 284, 275, 315, 842, 315, 7562, 317, 273, 7268, 9064, 264, 323, 24592, 6911, 1607, 568, 1631, 513, 3044, 1106, 543, 666, 581, 10736, 547, 606, 12825, 1106, 630, 528, 6743, 909, 538, 8791, 476, 275, 269, 273, 269, 1724, 264, 543, 1287, 10736, 1394, 547, 3230, 343, 2330, 1210, 4645, 3252, 780, 259, 275, 315, 842, 315, 7562, 317, 273, 7268, 9064, 264, 323, 24592, 815, 476, 273, 24592, 910, 273, 315, 7562, 7268, 9064, 9385, 6523, 7268, 9064, 11924, 322, 284, 273, 315, 7562, 13064, 272, 4153, 3847, 7268, 2765, 12757, 2410, 273, 4153, 2431, 9984, 315, 2765, 12757, 2410, 273, 4153, 6912, 346, 275, 14870, 317, 273, 15396, 322, 6911, 1012, 476, 274, 269, 273, 7305, 476, 272, 17832, 12596, 258, 692, 7445, 8218, 346, 20889, 4153, 6234, 1422, 8218, 15204, 2410, 331, 347, 331, 347, 331, 348, 1422, 327, 1467, 1422, 6234, 1422, 7562, 7268, 9064, 21174, 2765, 12757, 2410, 320, 348, 1299, 1422, 6234, 1422, 7562, 7268, 9064, 21174, 2765, 3189, 6912, 12757, 317, 273, 8584, 317, 273, 12453, 343, 348, 1299, 1422, 6234, 1422, 7562, 7268, 9064, 21174, 2765, 12757, 7346, 6912, 12757, 317, 273, 266, 320, 317, 273, 3686, 8607, 1422, 6234, 1422, 6523, 7268, 9064, 21174, 2765, 3189, 6912, 12757, 317, 273, 8584, 317, 273, 12453, 320, 348, 1299, 1422, 6234, 1422, 6523, 7268, 9064, 21174, 2765, 21151, 2410, 343, 348, 1299, 315, 6234, 1422, 6523, 7268, 9064, 21174, 2765, 21151, 7346, 6912, 21151, 317, 273, 21147, 317, 273, 3686, 8607, 1422, 6234, 1422, 11927, 7268, 9064, 21174, 2765, 12757, 7346, 6912, 21151, 317, 273, 14870, 317, 273, 3686, 1299, 315, 6234, 1422, 11927, 7268, 9064, 21174, 2765, 3189, 6912, 12757, 317, 273, 8584, 317, 273, 12453, 320, 31905, 315, 6234, 1422, 11927, 7268, 9064, 21174, 2765, 12757, 2410, 320, 348 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 1100, 1808, 12319, 540, 14780, 779, 2669, 269, 4340, 547, 10828, 267, 14780, 729, 759, 584, 5550, 539, 269, 4014, 519, 6381, 616, 10169, 7294, 267, 543, 621, 1223, 723, 1079, 1114, 2035, 540, 24446, 543, 2669, 269, 1261, 729, 513, 6305, 1998, 5601, 282, 2705, 267, 646, 729, 513, 4622, 945, 8057, 2025, 269, 16270, 1010, 2669, 267, 646, 2968, 519, 18678, 14610, 540, 519, 30723, 267, 543, 646, 28815, 2669, 1169, 3781, 543, 729, 6450, 1941, 1169, 6640, 269, 0, 3528, 30621, 1107, 6103, 476, 276, 454, 305, 3578, 729, 4535, 538, 476, 3707, 273, 267, 538, 513, 3484, 5264, 602, 1185, 1044, 3710, 676, 1200, 1390, 22594, 538, 476, 5908, 280, 269, 2701, 729, 519, 8772, 5108, 547, 2661, 538, 519, 3484, 5264, 563, 2691, 25288, 729, 476, 276, 1296, 2025, 1352, 3323, 547, 798, 26050, 1472, 519, 3484, 269, 4107, 540, 1200, 6009, 941, 3330, 267, 899, 7738, 519, 2777, 267, 5986, 543, 1818, 15135, 269, 2701, 849, 4121, 875, 547, 18055, 267, 1317, 519, 1920, 1500, 741, 1378, 7802, 267, 543, 849, 30465, 741, 1378, 7802, 950, 621, 729, 14324, 610, 12816, 856, 563, 8253, 782, 540, 1200, 6009, 941, 3330, 1498, 269, 2701, 1705, 513, 2370, 3787, 540, 5144, 532, 519, 16933, 269, 634, 824, 3484, 2831, 3769, 827, 476, 1015, 268, 1321, 14918, 267, 476, 274, 9640, 267, 543, 476, 1911, 17944, 267, 543, 789, 782, 1185, 547, 581, 3144, 1416, 540, 563, 305, 3578, 543, 519, 824, 1453, 5280, 856, 609, 16276, 1932, 269, 634, 1453, 1131, 1491, 741, 7504, 6537, 530, 6782, 543, 4452, 519, 7031, 602, 741, 667, 611, 1185, 19122, 269, 4595, 25288, 1185, 3323, 782, 540, 713, 960, 865, 1762, 267, 1200, 1920, 795, 12097, 602, 1352, 1185, 4121, 547, 3802, 538, 513, 15837, 15429, 2336, 7212, 519, 3484, 1185, 1044, 2250, 1524, 689, 5108, 547, 5108, 267, 950, 25288, 729, 476, 1240, 1352, 6410, 2476, 1310, 3478, 9310, 269, 4653, 25288, 4413, 525, 519, 3484, 1272, 267, 1317, 519, 3484, 568, 1100, 3476, 968, 514, 519, 1920, 6100, 25288, 779, 4651, 4956, 547, 6133, 519, 3484, 267, 1317, 782, 540, 1010, 1453, 941, 1932, 11112, 609, 865, 1082, 824, 6009, 269, 0, 20082, 281, 634, 18735, 540, 3593, 24378, 1543, 593, 1514, 2923, 814, 1500, 6644, 5599, 606, 818, 706, 748, 2816, 269, 1306, 513, 2890, 24108, 3101, 3760, 267, 12108, 568, 1373, 1031, 547, 2445, 5784, 827, 2472, 267, 3466, 267, 543, 6214, 269, 13329, 2939, 2079, 568, 513, 4480, 1031, 547, 5659, 519, 10182, 267, 4664, 543, 8369, 540, 1114, 1004, 2509, 4376, 267, 543, 621, 666, 581, 5645, 856, 593, 17408, 1115, 547, 5659, 1857, 6644, 593, 3377, 267, 4507, 267, 1514, 5322, 267, 543, 14789, 269, 1635, 14139, 10724, 4804, 3631, 267, 6644, 5599, 666, 581, 5340, 1510, 2542, 17408, 1115, 16924, 269, 4256, 2164, 1223, 4217, 6608, 543, 4213, 538, 12902, 856, 4507, 267, 2472, 267, 543, 2621, 269, 18599, 10724, 4804, 3631, 616, 8045, 585, 7553, 6284, 676, 1362, 4328, 17408, 1115, 607, 6126, 610, 29043, 269, 2060, 606, 538, 3829, 13354, 2773, 2079, 267, 621, 729, 4767, 602, 6069, 13359, 29976, 630, 28384, 4149, 31270, 264, 609, 570, 293, 268, 2839, 293, 7472, 519, 1034, 6099, 1267, 609, 476, 8064, 260, 6111, 543, 476, 10037, 260, 674, 272, 6060, 269, 1677, 2417, 19472, 6617, 540, 519, 6069, 1935, 593, 1079, 811, 14449, 267, 835, 9352, 543, 824, 3818, 11665, 10471, 543, 6913, 7347, 2164, 563, 21292, 281, 9049, 13329, 2939, 2079, 267, 1257, 8760, 267, 3684, 1565, 267, 6644, 5599, 267, 7553, 973, 690, 6873, 267, 5841, 4987, 563, 347, 20396, 281, 476, 1015, 269, 14378, 4366, 270, 296, 297, 2752, 290, 4753, 269, 1708, 273, 269, 14625, 7761, 0, 6624, 3237, 4043, 547, 581, 5360, 8809, 543, 711, 2628, 2614, 3007, 547, 1142, 540, 741, 1126, 779, 11095, 19325, 269, 901, 12161, 5012, 547, 741, 1126, 779, 4463, 711, 8757, 519, 3044, 267, 4611, 538, 2110, 588, 1155, 267, 14968, 267, 543, 606, 2810, 7678, 540, 8377, 269, 769, 2221, 779, 2376, 267, 1577, 779, 2263, 875, 547, 3895, 4463, 1646, 585, 476, 275, 4458, 6040, 1453, 1927, 609, 2333, 19417, 24108, 2593, 563, 24092, 27551, 543, 13379, 12763, 906, 585, 476, 275, 268, 17413, 14114, 671, 338, 454, 6097, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 3044, 4463, 543, 2597, 585, 476, 275, 4458, 6040, 8695, 543, 6690, 666, 4268, 1759, 593, 2188, 971, 607, 11976, 267, 4008, 267, 6484, 267, 543, 2168, 2534, 2157, 269, 2201, 3328, 267, 519, 3044, 4463, 585, 476, 275, 4458, 6040, 8695, 568, 1472, 476, 4375, 269, 279, 6279, 630, 6200, 9492, 1070, 1247, 585, 6690, 267, 621, 568, 5111, 476, 4375, 269, 275, 6279, 630, 1911, 9492, 1040, 1306, 585, 2597, 267, 519, 3328, 3044, 2597, 585, 476, 275, 4458, 6040, 8695, 568, 827, 476, 3607, 269, 273, 6550, 630, 1626, 269, 275, 11899, 1070, 543, 585, 6690, 267, 621, 568, 1472, 476, 4097, 269, 273, 6550, 630, 1428, 269, 276, 11899, 1916, 2005, 779, 1898, 547, 4063, 602, 891, 616, 2489, 4441, 267, 543, 519, 7403, 949, 4268, 5594, 4470, 593, 519, 2197, 267, 3148, 267, 543, 5007, 2188, 269, 2368, 1453, 949, 581, 26339, 610, 18219, 982, 519, 3044, 7403, 267, 1247, 1866, 1522, 581, 4130, 610, 14402, 269, 1452, 3604, 666, 581, 6766, 676, 1585, 2188, 267, 1519, 11976, 267, 2949, 1072, 267, 543, 2825, 2175, 269, 14268, 1058, 3343, 5796, 689, 6484, 4966, 543, 12963, 2103, 547, 948, 1453, 2226, 513, 7123, 543, 2635, 2168, 1533, 267, 14123, 3102, 2168, 543, 5042, 1646, 563, 26502, 18748, 532, 519, 27551, 540, 476, 275, 268, 17413, 14114, 671, 5753, 454, 6097, 547, 3621, 1382, 593, 2168, 1646, 267, 2523, 4463, 1646, 538, 3425, 267, 972, 616, 1585, 2188, 12018, 713, 2208, 838, 4669, 267, 971, 607, 11976, 267, 6484, 267, 1604, 267, 543, 6197, 6208, 563, 3891, 697, 1646, 568, 513, 2629, 2460, 540, 513, 1126, 779, 2208, 543, 1646, 269, 18726, 2188, 1404, 513, 1713, 1909, 267, 8051, 585, 5111, 476, 2537, 260, 540, 8159, 513, 1126, 779, 4463, 269, 9122, 593, 519, 4463, 540, 519, 3237, 543, 824, 1920, 2818, 267, 621, 568, 2009, 547, 3589, 519, 2104, 4463, 540, 519, 1126, 269, 2368, 12596, 602, 666, 581, 4294, 547, 5173, 519, 3328, 4463, 1759, 593, 519, 4719, 18472, 540, 519, 3237, 616, 607, 5205, 912, 3891, 697, 540, 8695, 815, 16733, 15948, 779, 4463, 1341, 476, 276, 269, 280, 10759, 630, 1428, 9492, 4297, 1341, 4651, 779, 4463, 264, 1315, 476, 273, 454, 3891, 697, 540, 6690, 815, 16733, 15289, 779, 4463, 1107, 476, 276, 269, 280, 10759, 630, 1428, 9492, 4297, 1341, 3993, 779, 4463, 264, 1315, 476, 273, 454, 4913, 267, 11976, 568, 711, 519, 6852, 24572, 540, 513, 1268, 779, 2104, 4463, 269, 3509, 2665, 4125, 10156, 3237, 855, 7381, 1453, 1813, 547, 2242, 543, 10659, 540, 824, 2208, 2188, 269, 17957, 267, 26339, 3237, 949, 723, 10156, 1453, 952, 513, 1697, 543, 23963, 9709, 6484, 267, 6197, 267, 543, 3635, 6296, 616, 711, 8045, 563, 13436, 547, 11976, 267, 2732, 568, 849, 2808, 835, 540, 519, 1034, 3532, 2188, 12018, 4463, 267, 8051, 585, 5111, 476, 3953, 10065, 2672, 2310, 6484, 568, 1898, 585, 2635, 2208, 543, 1646, 267, 607, 9422, 19518, 666, 1291, 547, 22926, 543, 25224, 532, 269, 5689, 19256, 267, 2523, 1282, 519, 2038, 1296, 540, 1272, 267, 666, 3648, 1764, 513, 1126, 779, 4463, 269, 589, 2732, 15877, 1898, 5567, 971, 607, 5946, 267, 8324, 267, 543, 6886, 666, 21391, 2208, 543, 1646, 269, 2201, 519, 824, 1688, 267, 513, 7059, 2732, 602, 2882, 606, 7850, 2179, 540, 1898, 5567, 666, 3895, 2635, 2208, 543, 1646, 563, 763, 4763, 540, 1426, 2516, 538, 3232, 6980, 4249, 513, 2629, 1909, 538, 3246, 12905, 543, 6225, 5567, 543, 8324, 585, 519, 1560, 779, 10894, 3157, 269, 26451, 1426, 2516, 5627, 2609, 971, 607, 20566, 267, 3940, 267, 8324, 267, 543, 6886, 568, 4105, 269, 13966, 2515, 513, 1134, 25454, 2732, 267, 6712, 1852, 543, 3892, 540, 6980, 849, 3565, 547, 5642, 561, 1263, 28517, 267, 609, 1614, 1292, 6980, 543, 1079, 16152, 269, 3680, 532, 519, 4616, 540, 3536, 5739, 547, 4463, 543, 1072, 568, 849, 1271, 563, 763, 1604, 538, 799, 513, 1126, 9428, 909, 666, 849, 3310, 741, 4463, 1646, 269, 7025, 2188, 602, 2097, 883, 3346, 609, 519, 1480, 1560, 267, 971, 607, 2011, 267, 1216, 267, 3037, 267, 5070, 267, 6846, 267, 3092, 1421, 666, 1764, 2208, 269, 7025, 13802, 267, 971, 607, 1291, 543, 16035, 267, 666, 17225, 2208, 543, 1646, 269, 5753, 2713, 538, 3810, 26130, 2127, 949, 581, 811, 11630, 547, 25224, 532, 267, 22926, 267, 543, 5312, 3676, 3379, 547, 1346, 538, 811, 4998, 2825, 2175, 563, 13010, 267, 1453, 2713, 538, 791, 1478, 1639, 2175, 609, 16283, 6484, 585, 10894, 3157, 949, 1995, 18604, 12046, 543, 616, 811, 12155, 547, 9667, 543, 7929, 5829, 10108, 269, 901, 7494, 5540, 519, 2067, 2208, 1184, 540, 741, 4703, 269, 2201, 519, 824, 1688, 267, 952, 1453, 616, 6659, 538, 791, 1478, 1639, 5054, 1510, 1569, 547, 3102, 3782, 2533, 267, 621, 849, 5540, 741, 2208, 543, 1646, 563, 26199, 18467, 547, 21561, 27551, 585, 476, 275, 268, 17413, 14114, 671, 338, 454, 19102, 2084, 4463, 568, 513, 6161, 585, 1082, 3237, 267, 543, 972, 616, 1896, 23963, 8810, 2409, 547, 948, 1453, 1332, 26339, 269, 1452, 2409, 1331, 8192, 2242, 267, 4180, 7850, 2168, 2534, 267, 7110, 532, 609, 5144, 543, 6198, 3536, 269, 2913, 779, 2263, 1142, 1505, 538, 1469, 609, 11705, 677, 718, 518, 14492, 563, 25911, 2331, 10791, 585, 27551, 21561, 538, 476, 275, 268, 17413, 14114, 671, 338, 454, 288, 7059, 2732, 609, 6190, 3940, 267, 8324, 267, 543, 6886, 568, 1898, 585, 2635, 1646, 269, 19871, 568, 3226, 1271, 607, 621, 22262, 2208, 543, 5160, 7816, 538, 519, 1560, 269, 6153, 2959, 540, 3940, 1331, 10709, 5779, 267, 3165, 267, 5798, 267, 10683, 2472, 267, 543, 22053, 269, 3958, 267, 3536, 3638, 538, 7513, 267, 971, 607, 5144, 267, 10381, 267, 543, 18506, 267, 666, 1489, 2178, 5642, 1646, 563, 2414, 1711, 513, 4463, 28967, 24031, 2732, 585, 707, 476, 275, 4458, 6040, 267, 1445, 593, 3246, 513, 3099, 540, 8770, 11656, 3536, 269, 11559, 707, 1126, 547, 8532, 513, 2647, 2039, 540, 5613, 543, 5388, 267, 2898, 9274, 267, 10709, 5946, 267, 543, 10683, 2472, 269, 3550, 519, 2732, 2882, 2959, 540, 7513, 267, 6171, 667, 267, 543, 824, 1898, 5567, 269, 3680, 9268, 543, 24494, 3536, 267, 607, 789, 1683, 2370, 9422, 1871, 543, 666, 17225, 2635, 2208, 543, 1646, 563, 16498, 11314, 21480, 454, 1103, 1840, 547, 8192, 2242, 267, 4180, 7850, 2168, 2534, 568, 2629, 585, 5009, 2635, 2208, 543, 1646, 269, 8617, 3635, 666, 12954, 519, 2504, 540, 2208, 10399, 267, 799, 616, 4105, 585, 2949, 1134, 5630, 269, 11559, 707, 1126, 547, 4497, 538, 2834, 2168, 2238, 971, 607, 4881, 267, 10977, 267, 543, 15198, 5751, 269, 4643, 585, 693, 2547, 476, 1015, 1107, 476, 736, 3764, 540, 2168, 2534, 1142, 1554, 269, 1306, 476, 275, 4458, 29419, 616, 6923, 22488, 543, 949, 1265, 621, 4101, 547, 1445, 593, 11295, 3635, 267, 3237, 991, 547, 581, 3461, 543, 3442, 8465, 543, 2502, 2168, 2238, 269, 1280, 1383, 267, 6451, 2168, 3756, 267, 3635, 1927, 609, 707, 1126, 267, 1683, 19015, 267, 543, 8007, 873, 609, 1507, 13000, 585, 5812, 4674, 563, 17730, 513, 15904, 8430, 666, 581, 6225, 538, 4180, 602, 707, 1126, 814, 2614, 2168, 2534, 1169, 1554, 269, 6333, 20319, 3635, 7886, 543, 7850, 1964, 543, 11005, 267, 9319, 7050, 1164, 27233, 23736, 269, 4438, 519, 3635, 267, 2628, 3007, 547, 3106, 3800, 971, 607, 3636, 13522, 267, 5078, 3635, 6753, 267, 543, 8825, 10591, 563, 11045, 2211, 532, 22447, 585, 27551, 21561, 538, 476, 275, 268, 17413, 14114, 671, 338, 454, 11045, 2211, 532, 5144, 666, 849, 948, 12954, 2635, 2208, 543, 1646, 538, 1762, 1453, 269, 22447, 568, 513, 3638, 2707, 540, 7513, 267, 6171, 667, 267, 543, 824, 1898, 6886, 267, 799, 616, 4105, 585, 2178, 5642, 1646, 563, 5278, 2090, 2303, 602, 1453, 945, 8532, 5144, 5781, 949, 1332, 26339, 982, 1346, 945, 798, 711, 269, 1717, 267, 621, 779, 1898, 547, 4063, 602, 5144, 568, 711, 513, 9589, 3070, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17686, 10402, 568, 513, 3940, 602, 2488, 2497, 547, 1454, 540, 707, 1560, 267, 1519, 707, 7633, 267, 2960, 267, 28844, 267, 543, 28587, 563, 2005, 568, 519, 2101, 5057, 540, 24561, 8031, 602, 1118, 909, 1896, 1560, 2694, 267, 1519, 28844, 267, 28587, 267, 2960, 267, 543, 6091, 563, 3963, 596, 723, 547, 1491, 1169, 1554, 15017, 17686, 10402, 2306, 909, 476, 4037, 260, 540, 519, 3819, 2597, 540, 707, 2960, 547, 1832, 621, 811, 13412, 563, 2026, 649, 2085, 267, 938, 4703, 6923, 1376, 4227, 20018, 2504, 1018, 568, 519, 2601, 602, 707, 2960, 779, 6418, 4494, 19380, 20018, 543, 3587, 1447, 1139, 548, 543, 811, 7925, 547, 3441, 563, 2690, 707, 7633, 454, 2690, 7633, 547, 581, 2178, 543, 2635, 267, 596, 991, 547, 2226, 513, 2635, 1377, 540, 645, 13270, 269, 15845, 5267, 602, 20018, 30902, 666, 5818, 7513, 10338, 267, 2087, 5642, 7777, 5860, 543, 2226, 5642, 4222, 563, 2690, 707, 2295, 454, 2691, 10057, 5781, 585, 3670, 3275, 267, 20018, 2468, 701, 32644, 5280, 2087, 8501, 2157, 543, 4389, 824, 1981, 2188, 585, 19473, 29912, 630, 14551, 2287, 540, 519, 16209, 994, 3963, 8869, 1106, 540, 20018, 568, 519, 1655, 286, 0, 306, 7739, 1464, 538, 519, 7286, 2872, 568, 25015, 6140, 2404, 609, 519, 3390, 540, 1210, 8093, 10173, 269, 7756, 2518, 1382, 543, 1646, 3785, 616, 2324, 593, 15175, 6077, 781, 27668, 1949, 547, 4559, 602, 2196, 593, 7791, 1648, 269, 634, 5767, 3077, 1305, 676, 519, 4139, 31845, 9257, 2882, 519, 5786, 540, 5434, 676, 476, 2004, 260, 2394, 476, 13078, 271, 267, 538, 6476, 547, 519, 5434, 538, 476, 1220, 279, 269, 634, 7286, 3560, 5434, 540, 12971, 343, 543, 14298, 343, 2099, 476, 1428, 543, 476, 1724, 260, 540, 519, 2518, 2698, 563, 1103, 938, 2063, 2022, 649, 5941, 519, 1114, 3646, 267, 1247, 2221, 649, 616, 2469, 547, 5905, 811, 2390, 7250, 267, 20342, 543, 8715, 12935, 607, 4492, 269, 13966, 2515, 6928, 1374, 267, 15175, 547, 7791, 10173, 568, 519, 1034, 26688, 1259, 547, 2759, 2910, 273, 5434, 563, 763, 1101, 4492, 649, 786, 5905, 2390, 568, 7250, 269, 1284, 4988, 930, 540, 519, 1292, 4162, 540, 7250, 538, 938, 3105, 2022, 267, 855, 875, 568, 7250, 3812, 286, 634, 1034, 1455, 1259, 568, 14793, 3974, 267, 855, 621, 568, 711, 519, 1034, 5010, 1242, 1259, 269, 7351, 2409, 540, 7250, 2504, 7048, 593, 519, 946, 540, 8093, 10173, 607, 4358, 1570, 269, 1717, 267, 621, 568, 2009, 547, 946, 1216, 543, 4430, 7791, 1648, 607, 4358, 1570, 630, 31282, 518, 267, 476, 1220, 275, 1916, 763, 1292, 1966, 3823, 519, 946, 540, 7250, 607, 4492, 2882, 7250, 4859, 269, 634, 4859, 2409, 4867, 18611, 1331, 19316, 7250, 267, 5277, 7250, 267, 20342, 267, 674, 29531, 1700, 307, 28979, 577, 10523, 1564, 267, 10991, 2067, 3154, 267, 8715, 12935, 267, 1106, 545, 3679, 267, 23599, 5277, 5214, 7250, 19057, 543, 1896, 4396, 15581, 7250, 19057, 630, 309, 534, 14208, 1815, 651, 1696, 620, 1421, 476, 1708, 271, 1916, 763, 4867, 1034, 2919, 543, 4922, 1031, 1505, 547, 4558, 7250, 568, 676, 13496, 269, 12866, 1114, 2010, 540, 4859, 13688, 723, 1044, 2919, 543, 616, 1031, 547, 4558, 7250, 693, 2799, 2604, 267, 689, 476, 1015, 1700, 736, 547, 476, 3583, 631, 11985, 563, 763, 2034, 4492, 649, 786, 5905, 2390, 568, 20342, 563, 8649, 3000, 807, 666, 4196, 1312, 607, 513, 7250, 15298, 11140, 543, 607, 513, 4492, 269, 2549, 3000, 807, 568, 513, 3327, 1863, 3114, 267, 855, 519, 1699, 2504, 540, 7250, 689, 20342, 2501, 689, 9252, 6963, 532, 15655, 269, 901, 1184, 568, 2404, 609, 8511, 9362, 267, 2094, 15655, 568, 513, 8652, 21666, 543, 676, 6721, 7250, 267, 2910, 273, 568, 19501, 607, 1134, 563, 4002, 519, 14669, 267, 20342, 666, 581, 3812, 676, 14793, 3974, 13324, 676, 5710, 1963, 610, 6046, 1648, 269, 667, 301, 309, 2829, 602, 1287, 621, 568, 606, 5140, 2707, 540, 4642, 15041, 2153, 4492, 269, 1717, 267, 713, 1826, 540, 20342, 2504, 568, 711, 2943, 20749, 14323, 563, 300, 996, 12935, 568, 835, 540, 519, 1034, 3812, 6464, 538, 519, 1158, 269, 769, 476, 1001, 276, 811, 982, 476, 3583, 2929, 9748, 540, 8715, 12935, 941, 3812, 11451, 563, 1805, 1681, 8715, 12935, 814, 1896, 2640, 936, 20342, 543, 7250, 269, 29034, 12935, 814, 1970, 17219, 547, 7286, 1272, 543, 621, 666, 581, 6740, 3330, 519, 5595, 26083, 338, 540, 9635, 269, 634, 2539, 17219, 568, 9090, 513, 4324, 585, 519, 2949, 1604, 267, 2094, 519, 21383, 540, 8715, 12935, 1131, 711, 2014, 607, 3573, 2800, 607, 8093, 4492, 20984, 269, 1717, 267, 606, 21677, 568, 602, 8715, 12935, 568, 6353, 607, 513, 1970, 8755, 4812, 4492, 2687, 547, 519, 594, 19616, 269, 634, 8755, 4812, 568, 513, 1448, 693, 799, 7135, 1831, 19979, 543, 23292, 538, 5114, 609, 2011, 563, 2304, 3606, 4183, 540, 8715, 12935, 568, 602, 621, 1152, 3340, 5634, 12381, 547, 4540, 12363, 5989, 267, 2687, 547, 29034, 534, 1410, 563, 2005, 666, 581, 11943, 875, 782, 540, 519, 1614, 6675, 607, 4492, 723, 741, 2640, 269, 1717, 267, 789, 616, 1152, 607, 4264, 607, 741, 2504, 11710, 689, 5710, 1963, 543, 1970, 17219, 7135, 269, 898, 786, 581, 4277, 538, 513, 1906, 1296, 547, 1294, 799, 4492, 786, 723, 519, 1655, 2298, 5288, 6940, 5288, 3902, 5223, 2336, 272, 269, 25306, 267, 808, 269, 589, 269, 630, 1220, 275, 264, 12655, 25756, 13870, 269, 3163, 267, 476, 25134, 267, 476, 280, 7761, 268, 9032, 275, 563, 273, 269, 11709, 14208, 1815, 651, 267, 700, 1421, 700, 3530, 710, 584, 267, 700, 1421, 6682, 701, 267, 681, 1421, 3131, 516, 5435, 267, 623, 1421, 32040, 745, 1375, 523, 267, 590, 269, 654, 1421, 1299, 700, 6511, 1068, 338, 267, 590, 269, 630, 1708, 272, 1040, 12694, 538, 519, 946, 540, 7250, 585, 17535, 3156, 269, 6052, 1299, 7025, 3163, 267, 476, 1691, 263, 273, 1070, 476, 279, 1428, 268, 279, 6246, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 280, 7933, 271, 2465, 27888, 3393, 327, 0, 1692, 519, 6820, 3345, 779, 4853, 5779, 4356, 568, 30740, 2916, 21440, 563, 763, 2825, 543, 1514, 1942, 540, 6721, 12051, 3484, 539, 5779, 568, 10373, 267, 543, 568, 28703, 796, 3225, 958, 676, 2907, 7925, 2950, 563, 10387, 3827, 689, 4853, 5779, 543, 10683, 616, 8022, 909, 938, 4541, 269, 1635, 476, 10711, 271, 267, 519, 13184, 5823, 786, 581, 8781, 998, 827, 3368, 519, 2179, 649, 666, 9108, 12520, 547, 3251, 1369, 476, 272, 269, 276, 5232, 540, 2518, 8022, 269, 5381, 547, 938, 13840, 16080, 1242, 1909, 538, 8093, 4492, 946, 267, 519, 6820, 3345, 568, 4189, 811, 5779, 543, 10683, 543, 32749, 811, 8511, 9362, 982, 922, 4023, 2671, 269, 769, 476, 1708, 271, 267, 1164, 4747, 2477, 1185, 606, 3328, 21496, 5779, 4616, 540, 476, 3445, 269, 275, 4846, 829, 1268, 269, 634, 9803, 4747, 2477, 1152, 10057, 476, 1556, 269, 280, 4846, 540, 5779, 21496, 829, 1268, 269, 634, 5222, 540, 2916, 9568, 786, 581, 5433, 19514, 569, 267, 609, 2477, 538, 519, 6820, 3162, 1700, 799, 3548, 2484, 1447, 4853, 5779, 543, 10683, 1700, 12946, 519, 20015, 660, 540, 12900, 563, 4407, 519, 8835, 23967, 538, 476, 1708, 273, 2322, 3662, 6683, 779, 2916, 1764, 538, 519, 24657, 267, 4395, 1467, 2950, 267, 1419, 645, 7709, 8016, 630, 14937, 267, 7087, 740, 4658, 540, 2051, 712, 264, 543, 2324, 1362, 1004, 538, 519, 6820, 3345, 543, 3162, 267, 616, 1869, 2800, 539, 693, 3592, 1169, 3942, 540, 519, 4853, 5779, 543, 10683, 3761, 5832, 563, 5978, 2848, 6545, 616, 8731, 4221, 519, 8835, 543, 1439, 836, 1359, 7087, 2950, 454, 2108, 9213, 519, 8835, 568, 4742, 513, 3574, 23041, 2223, 3081, 962, 24499, 2494, 577, 10719, 328, 267, 606, 7087, 12016, 538, 519, 19384, 1533, 540, 589, 920, 269, 634, 8835, 814, 1044, 8781, 585, 930, 1296, 1631, 267, 543, 891, 11642, 616, 3592, 14311, 812, 1500, 269, 1548, 729, 2899, 18932, 3039, 10664, 267, 543, 1753, 547, 7087, 9082, 543, 26080, 9265, 267, 568, 1631, 16290, 538, 513, 4783, 540, 3595, 267, 14132, 267, 543, 26846, 1700, 530, 31441, 856, 14143, 540, 3504, 4054, 267, 543, 6028, 7087, 2950, 669, 3183, 593, 519, 8673, 563, 10048, 577, 10719, 328, 779, 2146, 538, 589, 920, 814, 2938, 606, 2333, 538, 7929, 10108, 936, 519, 2250, 7008, 540, 1296, 267, 1141, 519, 1981, 789, 3068, 689, 519, 5046, 268, 866, 6855, 568, 31903, 676, 741, 16133, 547, 519, 8835, 11642, 269, 968, 20288, 560, 11642, 1860, 1312, 938, 7929, 1072, 607, 1134, 607, 1426, 3106, 2223, 1352, 6645, 15216, 321, 599, 5240, 267, 968, 20357, 649, 7639, 609, 29454, 689, 2470, 3034, 5575, 2097, 519, 11642, 267, 543, 1287, 519, 12418, 616, 4547, 538, 269, 29133, 17569, 619, 538, 8478, 543, 519, 7330, 1419, 2707, 741, 12418, 689, 678, 4545, 1667, 945, 2154, 5318, 5666, 540, 2244, 547, 1178, 2763, 741, 12418, 269, 769, 1249, 267, 519, 4102, 5779, 3640, 518, 538, 519, 1158, 267, 808, 7034, 267, 814, 15861, 547, 27126, 12418, 689, 24648, 958, 632, 10809, 539, 2244, 538, 519, 8835, 269, 19384, 15726, 302, 1955, 7571, 9193, 476, 3445, 260, 540, 632, 10809, 539, 8835, 2244, 568, 13026, 676, 12418, 2250, 999, 563, 15152, 5449, 19384, 5518, 808, 1515, 12157, 5459, 16619, 779, 12512, 267, 2244, 3766, 4599, 1499, 543, 10363, 678, 4545, 1667, 941, 2016, 1863, 12081, 547, 30908, 998, 519, 22986, 609, 2370, 2543, 585, 519, 7087, 9082, 23493, 593, 741, 18577, 3338, 269, 13966, 2515, 4220, 547, 741, 1072, 267, 10363, 12418, 10443, 4221, 5396, 7087, 2950, 547, 519, 5208, 540, 12761, 269, 10705, 267, 891, 2950, 4339, 1394, 269, 634, 631, 3120, 631, 3120, 1004, 540, 519, 8835, 1491, 909, 536, 3298, 543, 15731, 543, 2212, 883, 519, 26570, 547, 9718, 741, 1753, 1996, 2845, 7970, 269, 968, 2171, 616, 8909, 1317, 519, 4104, 568, 12955, 693, 1169, 4090, 1848, 670, 6387, 577, 654, 752, 3570, 267, 513, 4759, 540, 519, 14316, 267, 6645, 1234, 26407, 267, 968, 2171, 1745, 519, 2916, 568, 4657, 543, 519, 1158, 2115, 519, 4104, 3034, 1432, 5956, 538, 519, 8835, 7475, 538, 519, 2706, 21466, 281, 606, 7634, 676, 631, 26663, 3047, 4951, 602, 9269, 543, 20230, 2472, 4421, 538, 18806, 1723, 2706, 5658, 1115, 538, 519, 5177, 941, 5532, 547, 17717, 538, 519, 8835, 543, 513, 2487, 6820, 654, 5893, 1867, 849, 4951, 3703, 2706, 5658, 1115, 24261, 976, 267, 590, 1622, 12064, 779, 267, 19360, 543, 6789, 6395, 941, 6006, 532, 14132, 3812, 676, 808, 7034, 269, 2755, 6800, 538, 519, 6820, 3345, 2972, 31567, 10464, 5779, 5777, 267, 621, 779, 1271, 547, 7703, 538, 2247, 602, 952, 519, 1439, 7082, 3884, 1406, 12946, 519, 2407, 1942, 540, 713, 1587, 267, 824, 1004, 543, 824, 8134, 267, 1419, 1346, 538, 2907, 7925, 3871, 267, 2693, 616, 563, 5978, 2848, 6545, 616, 3812, 538, 13818, 2324, 2175, 454, 4517, 516, 31436, 1393, 267, 513, 5779, 3640, 518, 2324, 538, 513, 570, 903, 517, 16639, 2030, 538, 19578, 267, 13455, 513, 2620, 575, 1662, 593, 1010, 1318, 6186, 1247, 2324, 23969, 547, 23969, 593, 519, 12051, 6989, 269, 1879, 519, 1928, 593, 1010, 6186, 9327, 1406, 979, 2476, 1310, 513, 3018, 267, 570, 903, 517, 16639, 15189, 547, 3382, 1022, 2564, 3790, 3564, 3246, 1864, 609, 6512, 1137, 607, 267, 829, 2754, 3609, 267, 646, 22821, 1406, 1044, 2324, 693, 519, 2030, 1279, 2614, 547, 723, 12236, 3795, 269, 968, 296, 2760, 4682, 547, 519, 6413, 892, 31436, 1393, 11339, 267, 968, 20357, 594, 729, 12922, 540, 519, 12014, 3034, 10890, 543, 3106, 32226, 568, 606, 2872, 17253, 3390, 269, 7831, 1032, 267, 649, 19927, 602, 930, 540, 519, 1004, 7738, 808, 7034, 5779, 24386, 2371, 538, 519, 7330, 941, 1453, 269, 3683, 835, 4627, 1453, 267, 9907, 476, 1724, 547, 476, 1704, 1296, 2025, 267, 941, 7738, 986, 345, 528, 6879, 17369, 4718, 3937, 267, 544, 25891, 909, 6757, 3653, 543, 2324, 16074, 10593, 269, 2311, 2547, 1079, 540, 891, 1453, 941, 1634, 547, 723, 11124, 968, 8619, 755, 545, 3114, 17236, 6100, 4014, 808, 7034, 814, 2094, 8694, 922, 4579, 609, 602, 1880, 19455, 3028, 267, 13818, 960, 2175, 543, 11668, 1876, 19374, 616, 711, 16613, 538, 5779, 17569, 532, 2371, 269, 634, 2475, 27706, 8881, 543, 2657, 10029, 1336, 602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 538, 971, 2665, 267, 740, 6254, 338, 540, 519, 5132, 27043, 1369, 519, 2679, 538, 1931, 547, 9006, 4733, 519, 25976, 693, 519, 695, 9068, 269, 769, 8106, 11454, 6189, 267, 519, 695, 9068, 949, 581, 24190, 609, 519, 1591, 320, 267, 13840, 267, 538, 18420, 543, 4936, 30871, 267, 543, 538, 2413, 5132, 338, 267, 971, 607, 3026, 641, 12298, 1143, 267, 513, 695, 9068, 666, 4122, 581, 1336, 1369, 519, 1753, 610, 6300, 269, 901, 695, 9068, 568, 2356, 513, 2497, 610, 513, 14764, 540, 5961, 543, 19562, 1149, 6131, 547, 513, 25976, 602, 568, 851, 540, 519, 4013, 4984, 563, 22102, 7622, 695, 21218, 616, 1455, 1851, 519, 4457, 543, 1004, 689, 3162, 543, 14913, 5607, 267, 2436, 9699, 269, 15394, 513, 1507, 17689, 543, 1507, 17008, 616, 6854, 3232, 676, 519, 695, 9068, 267, 14418, 7622, 695, 21218, 1590, 581, 593, 513, 15808, 1657, 519, 2212, 267, 4457, 695, 21218, 1590, 1796, 2047, 593, 519, 6989, 269, 9540, 9205, 13452, 695, 21218, 616, 1336, 693, 519, 5377, 540, 1082, 10651, 267, 1739, 1585, 10764, 267, 1519, 13840, 269, 1744, 21218, 616, 1336, 538, 1034, 267, 1498, 711, 782, 267, 1744, 21218, 4061, 4482, 519, 2259, 540, 31145, 269, 1744, 21218, 616, 1336, 538, 1082, 267, 1498, 711, 782, 267, 3029, 540, 8567, 267, 4936, 30871, 267, 519, 4102, 21000, 1588, 540, 8567, 267, 814, 1082, 695, 21218, 267, 607, 798, 18179, 8567, 543, 29842, 22675, 269, 1280, 513, 695, 9068, 547, 581, 4330, 607, 3084, 267, 519, 13170, 540, 519, 9210, 4593, 29914, 10985, 568, 2556, 267, 585, 621, 547, 581, 4330, 607, 3486, 267, 519, 13170, 540, 519, 10513, 6423, 568, 2838, 269, 6271, 946, 540, 519, 695, 9068, 538, 30351, 658, 7826, 16166, 568, 513, 13395, 610, 620, 322, 913, 538, 1034, 1107, 2523, 3677, 1107, 13039, 1031, 676, 25110, 542, 619, 950, 32467, 27352, 538, 519, 5939, 563, 5445, 941, 1572, 8061, 10899, 16816, 1513, 267, 2094, 789, 1223, 1413, 899, 1507, 17121, 16816, 1513, 610, 676, 324, 268, 5306, 1513, 267, 1744, 21218, 941, 2141, 10704, 593, 930, 3239, 540, 2441, 610, 513, 23920, 1107, 585, 3236, 267, 513, 18533, 267, 544, 1116, 610, 24463, 267, 543, 949, 723, 1185, 513, 556, 1042, 657, 3297, 873, 269, 1717, 267, 7136, 1131, 711, 581, 9976, 693, 873, 267, 789, 941, 1031, 547, 5351, 610, 2285, 513, 3308, 1445, 585, 19001, 269, 17121, 5621, 1513, 267, 1141, 7136, 1223, 2965, 581, 9976, 267, 941, 1031, 538, 513, 1259, 547, 695, 21218, 676, 25110, 542, 619, 454, 2690, 519, 6891, 2777, 1031, 676, 519, 667, 752, 601, 327, 1004, 540, 3703, 12052, 267, 1294, 13336, 2777, 269, 4107, 8075, 543, 4213, 723, 513, 6891, 2777, 5116, 538, 606, 513, 22273, 5534, 5544, 267, 519, 4087, 949, 581, 6074, 1310, 15360, 609, 513, 23347, 2381, 17308, 269, 634, 6891, 2777, 568, 7363, 538, 519, 1106, 540, 513, 2777, 610, 11454, 269, 634, 2777, 568, 5497, 547, 1683, 513, 12062, 585, 14326, 602, 1223, 2014, 2042, 585, 519, 952, 711, 4300, 1078, 269, 634, 695, 21218, 1419, 1331, 2592, 540, 1004, 543, 2831, 267, 642, 12067, 17008, 616, 2451, 693, 519, 2777, 547, 4412, 527, 5573, 519, 14326, 269, 2859, 14969, 19698, 1331, 606, 26749, 585, 713, 3483, 267, 1019, 6755, 919, 661, 3863, 534, 1744, 9068, 670, 758, 7702, 21919, 573, 3570, 700, 752, 631, 826, 836, 14844, 21487, 18691, 15397, 601, 776, 25976, 9012, 1644, 547, 13336, 8075, 693, 22816, 12855, 12780, 634, 21487, 13336, 5600, 454, 289, 1737, 338, 616, 1851, 519, 9998, 1480, 610, 23788, 543, 522, 1598, 747, 7387, 19273, 538, 4000, 4266, 547, 476, 1015, 267, 1822, 7460, 269, 3683, 519, 5553, 1585, 4529, 723, 1500, 19273, 689, 513, 3099, 540, 2326, 689, 6149, 267, 519, 2296, 2262, 29950, 24283, 689, 519, 6196, 2296, 10902, 5127, 324, 799, 1797, 513, 11755, 269, 538, 269, 1989, 11721, 3796, 270, 272, 270, 1001, 277, 270, 628, 4275, 274, 269, 795, 17989, 6580, 689, 519, 476, 1704, 628, 524, 269, 7460, 634, 3169, 8129, 540, 11755, 19273, 2611, 7334, 267, 855, 741, 9998, 3140, 946, 4440, 15244, 547, 9699, 19001, 538, 3127, 267, 13221, 4440, 22666, 519, 1523, 689, 18420, 269, 634, 18533, 540, 513, 13411, 9699, 812, 609, 19273, 7389, 547, 519, 3791, 2540, 7460, 267, 519, 1297, 540, 19273, 9775, 676, 4984, 610, 946, 269, 9099, 11755, 19273, 267, 1572, 16700, 321, 21036, 610, 26800, 6798, 327, 267, 2356, 723, 476, 4200, 610, 476, 3451, 19273, 543, 27734, 946, 519, 808, 23981, 5689, 320, 267, 799, 2356, 814, 476, 10482, 19273, 267, 610, 476, 2767, 799, 616, 18886, 2185, 2053, 269, 15840, 2967, 11755, 19273, 2874, 540, 2901, 476, 4817, 19273, 610, 476, 866, 19273, 267, 519, 27566, 5689, 320, 814, 476, 10482, 19273, 269, 4936, 23597, 946, 519, 14472, 776, 609, 476, 7918, 543, 3606, 2947, 19273, 267, 8109, 18179, 10271, 946, 513, 24516, 1540, 14472, 776, 609, 476, 1911, 25418, 267, 4352, 11755, 887, 6647, 609, 476, 2004, 610, 476, 3451, 25418, 666, 581, 1031, 563, 763, 5259, 737, 558, 2513, 16211, 814, 606, 9642, 1297, 540, 835, 811, 982, 513, 2789, 540, 2185, 269, 3245, 519, 1034, 5063, 4362, 23906, 1723, 5961, 538, 13019, 8527, 21105, 540, 16114, 528, 7236, 267, 519, 19164, 12429, 338, 540, 519, 476, 274, 6113, 547, 476, 276, 628, 5553, 267, 1031, 890, 6277, 956, 610, 24516, 1540, 887, 6647, 547, 1293, 19001, 267, 3335, 519, 4906, 27302, 269, 634, 8798, 568, 11911, 547, 20900, 519, 4279, 610, 1010, 12314, 623, 778, 558, 3780, 519, 4279, 538, 519, 476, 275, 628, 2540, 267, 519, 7826, 15610, 19528, 12673, 540, 19273, 267, 27229, 585, 11755, 267, 1336, 538, 519, 9723, 2125, 540, 12142, 717, 1068, 337, 8775, 540, 715, 633, 331, 956, 543, 12142, 7439, 6975, 543, 12142, 14472, 26515, 269, 589, 811, 8763, 4704, 568, 602, 538, 476, 12208, 276, 5261, 540, 5689, 6996, 12064, 5018, 513, 5569, 540, 21889, 602, 15248, 2696, 10216, 1031, 547, 1293, 19001, 543, 891, 12673, 540, 19273, 941, 1634, 607, 533, 15715, 739, 619, 543, 941, 27229, 1031, 547, 1293, 10221, 1431, 540, 519, 700, 3581, 27302, 269, 13536, 267, 4936, 23597, 543, 5555, 29842, 753, 7281, 539, 519, 887, 338, 776, 609, 12673, 540, 476, 7918, 7132, 606, 3606, 2947, 19273, 267, 519, 19001, 616, 10483, 676, 9066, 593, 519, 27405, 625, 267, 2621, 538, 519, 1272, 543, 18591, 540, 4906, 563, 1607, 2757, 7826, 1106, 540, 519, 887, 338, 776, 568, 11911, 547, 12142, 18067, 545, 267, 23597, 946, 11755, 19273, 547, 7281, 669, 777, 7410, 269, 634, 8109, 18179, 5783, 3096, 11755, 887, 6647, 609, 476, 3451, 267, 2004, 610, 476, 1911, 25418, 267, 519, 17787, 540, 24516, 1540, 15144, 267, 1572, 669, 582, 7288, 610, 737, 4861, 657, 7219, 328, 547, 7281, 519, 4906, 27302, 269, 4014, 1851, 519, 18179, 267, 741, 946, 568, 11658, 547, 26112, 543, 31967, 269, 7324, 6739, 6196, 5617, 773, 951, 267, 513, 18052, 1500, 540, 16463, 267, 1572, 561, 652, 990, 6390, 267, 568, 811, 1455, 269, 15337, 1014, 543, 10515, 6776, 11755, 18052, 2308, 2338, 971, 607, 476, 6078, 267, 5038, 267, 519, 1101, 1079, 2338, 2099, 519, 1297, 540, 561, 10449, 1102, 21719, 593, 4906, 543, 6307, 338, 2085, 2390, 1200, 2667, 18870, 269, 634, 1305, 5161, 540, 476, 3451, 19273, 11231, 538, 2185, 1895, 902, 540, 12572, 4644, 543, 891, 29842, 534, 14472, 2456, 3136, 547, 581, 15469, 3842, 4950, 7270, 855, 621, 568, 711, 1634, 2436, 789, 723, 1044, 7550, 676, 1022, 17557, 1895, 538, 1022, 6101, 2631, 454, 763, 12835, 7944, 267, 610, 2699, 7944, 267, 568, 513, 1507, 10847, 2230, 5423, 538, 519, 5321, 540, 8109, 18179, 543, 5259, 4211, 987, 4301, 10271, 269, 634, 26922, 1523, 538, 5375, 8567, 568, 519, 1753, 26749, 267, 519, 3883, 540, 20450, 543, 519, 9210, 30178, 540, 519, 24347, 548, 6754, 2594, 602, 538, 519, 2038, 5783, 267, 10271, 1031, 547, 2743, 538, 519, 5321, 540, 519, 21705, 269, 901, 2245, 540, 519, 5600, 5783, 5170, 547, 713, 1554, 538, 8109, 8567, 267, 519, 1753, 568, 2808, 547, 581, 513, 2890, 6523, 332, 540, 519, 5783, 269, 634, 3237, 616, 519, 23464, 540, 519, 5939, 267, 543, 519, 1453, 616, 519, 3288, 640, 269, 634, 16806, 16008, 568, 26922, 547, 18103, 1588, 267, 543, 519, 2777, 568, 25552, 609, 513, 678, 924, 602, 568, 1759, 2390, 519, 1230, 5913, 1674, 540, 513, 5783, 267, 2899, 513, 1032, 267, 519, 17308, 786, 2097, 547, 12196, 519, 2777, 609, 634, 2684, 1415, 4826, 269, 1323, 18179, 4168, 568, 4397, 547, 7281, 7683, 267, 2687, 547, 21674, 918, 718, 626, 657, 654, 732, 267, 562, 18179, 17035, 267, 1100, 9668, 1063, 1396, 21395, 543, 4357, 20174, 269, 4935, 519, 2777, 267, 1175, 899, 519, 13527, 267, 568, 2808, 547, 581, 513, 1747, 269, 1323, 12835, 7944, 568, 7363, 20218, 547, 3068, 7532, 543, 621, 568, 1419, 4092, 538, 513, 7944, 547, 9004, 1158, 569, 19240, 543, 1450, 11755, 547, 581, 811, 13671, 563, 2080, 568, 1141, 519, 24069, 602, 519, 1920, 22595, 1058, 581, 4092, 267, 7363, 1519, 693, 2547, 24069, 540, 2441, 267, 519, 634, 582, 758, 657, 267, 606, 3282, 17689, 7363, 13793, 338, 538, 4395, 540, 519, 24069, 269, 634, 6297, 16013, 2719, 540, 519, 17689, 547, 1832, 621, 8781, 693, 782, 2053, 568, 14648, 607, 12572, 540, 519, 3232, 1416, 21705, 10271, 1058, 1491, 936, 741, 20339, 269, 27814, 267, 519, 7944, 568, 4092, 865, 602, 621, 568, 7298, 950, 835, 1101, 13788, 519, 2777, 689, 519, 1292, 13675, 269, 27603, 267, 950, 1101, 10024, 519, 2777, 267, 606, 18179, 4168, 1131, 9006, 4733, 519, 24069, 1354, 28551, 519, 2818, 540, 519, 2777, 267, 513, 2757, 18179, 1920, 786, 5531, 1927, 1169, 1554, 585, 6640, 543, 10543, 19001, 269, 6884, 267, 693, 519, 1439, 540, 519, 19001, 267, 519, 2212, 540, 519, 7622, 786, 1491, 519, 18594, 518, 543, 524, 1619, 519, 24069, 269, 10705, 267, 538, 1840, 547, 519, 7944, 267, 513, 1920, 786, 13793, 513, 1507, 22045, 12835, 676, 519, 7450, 269, 27748, 7944, 593, 18179, 310, 5942, 14424, 267, 4173, 337, 326, 582, 1206, 342, 1074, 601, 454, 17951, 997, 534, 11755, 19273, 454, 17951, 997, 534, 11755, 29950, 5036, 2874, 540, 13977, 31644, 19273, 5258, 883, 2516, 269, 1703, 616, 2185, 2516, 9967, 540, 5722, 19273, 609, 3606, 5094, 267, 519, 1895, 902, 616, 1572, 4374, 267, 538, 4334, 547, 519, 29401, 887, 338, 776, 799, 3096, 2947, 2516, 540, 4557, 19273, 1572, 5756, 269, 634, 19273, 1063, 616, 2356, 3677, 982, 519, 4374, 19273, 616, 1572, 16961, 6134, 19273, 267, 950, 519, 8520, 540, 19273, 568, 8118, 883, 513, 9764, 3337, 267, 891, 1880, 19273, 1106, 519, 2798, 540, 513, 3444, 1369, 519, 5858, 540, 519, 1305, 267, 8754, 519, 2165, 16961, 6134, 269, 8921, 1310, 519, 3444, 593, 29842, 534, 11755, 29950, 5036, 568, 513, 2582, 29950, 17941, 519, 1045, 527, 2218, 29950, 267, 519, 19273, 1031, 616, 1500, 540, 513, 3099, 540, 2326, 267, 971, 607, 10475, 10007, 267, 25549, 4837, 267, 610, 1256, 12015, 543, 13556, 5452, 269, 29842, 534, 11755, 29950, 5036, 616, 1500, 609, 513, 3099, 540, 22613, 610, 267, 519, 22469, 3444, 543, 519, 5842, 12456, 10730, 3444, 616, 1079, 799, 616, 1419, 1031, 269, 1261, 610, 1352, 949, 9959, 676, 6031, 519, 700, 3581, 27302, 593, 519, 1045, 527, 2218, 29950, 543, 5924, 513, 3803, 11755, 593, 519, 3444, 607, 538, 519, 1806, 2630, 267, 519, 3003, 5858, 949, 581, 2944, 4278, 823, 267, 799, 19752, 519, 10513, 27076, 563, 27746, 267, 634, 22569, 1588, 540, 4173, 9839, 267, 21813, 532, 519, 14472, 776, 267, 1323, 4985, 585, 9210, 4593, 29914, 2103, 269, 634, 29842, 534, 2422, 540, 519, 14472, 776, 267, 26701, 514, 631, 269, 1530, 756, 339, 267, 5975, 1399, 28270, 269, 670, 13783, 2659, 21813, 619, 538, 2659, 24732, 267, 21813, 532, 519, 29842, 534, 14472, 776, 267, 2486, 540, 853, 269, 3627, 519, 5345, 13370, 626, 267, 1196, 269, 634, 27405, 625, 540, 519, 14472, 776, 267, 589, 10374, 6164, 1047, 267, 519, 29842, 534, 14472, 776, 585, 5753, 267, 21813, 619, 585, 519, 8479, 693, 9839, 269, 589, 645, 1737, 543, 513, 27302, 267, 589, 30488, 6651, 547, 17557, 27302, 645, 1737, 338, 267, 645, 1737, 2290, 267, 18320, 267, 589, 6651, 547, 10435 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1044, 519, 1034, 7928, 2094, 519, 476, 3707, 271, 338, 267, 609, 476, 274, 1107, 476, 4335, 331, 1749, 585, 513, 476, 1911, 271, 20645, 7382, 543, 476, 275, 1107, 476, 4335, 331, 1749, 585, 513, 476, 5611, 271, 20645, 7382, 1373, 519, 1034, 6093, 269, 570, 3471, 3459, 547, 581, 9280, 609, 476, 1626, 16357, 4009, 6405, 11690, 338, 609, 513, 17666, 32548, 538, 519, 3735, 476, 1960, 271, 338, 267, 3850, 585, 4443, 1569, 547, 1312, 5011, 540, 519, 7382, 269, 3509, 13688, 2221, 616, 1500, 540, 4017, 1120, 20199, 610, 5068, 269, 3683, 942, 267, 519, 6405, 1522, 31358, 267, 543, 519, 561, 1749, 949, 1020, 18015, 610, 7654, 695, 2660, 4625, 1813, 547, 519, 2604, 563, 268, 4634, 7745, 561, 1749, 1058, 581, 8719, 585, 519, 19160, 540, 519, 1857, 779, 3106, 563, 268, 1358, 1205, 1569, 547, 707, 23170, 7382, 676, 9427, 3039, 6227, 602, 616, 476, 736, 6279, 538, 8006, 563, 268, 901, 568, 2944, 538, 1931, 547, 2061, 4896, 267, 2523, 1453, 267, 689, 9427, 513, 19984, 543, 9991, 883, 519, 8708, 563, 268, 589, 6093, 1216, 1377, 585, 513, 7382, 1058, 581, 476, 277, 16357, 2630, 519, 1283, 540, 519, 7382, 267, 543, 519, 7382, 1058, 581, 6854, 4625, 4904, 693, 782, 2053, 563, 268, 634, 1377, 540, 519, 1216, 568, 1419, 513, 1434, 1129, 540, 1761, 2042, 563, 268, 3958, 267, 621, 1522, 2303, 513, 24571, 3022, 6981, 1899, 267, 799, 1223, 581, 3361, 676, 5072, 267, 513, 8697, 10612, 267, 610, 513, 10690, 4745, 563, 268, 1403, 972, 814, 1044, 513, 2603, 540, 4764, 267, 519, 3618, 949, 1205, 15459, 267, 1818, 621, 7543, 585, 1022, 3606, 1216, 547, 694, 788, 998, 519, 3037, 547, 519, 2627, 563, 268, 1403, 707, 7382, 814, 4847, 5536, 547, 4283, 519, 2361, 3515, 267, 713, 1522, 2014, 519, 23761, 538, 519, 1351, 2607, 730, 10612, 547, 1205, 24571, 3022, 267, 7303, 1216, 689, 829, 3712, 908, 998, 519, 3037, 607, 3927, 607, 621, 1058, 581, 563, 2304, 3977, 6882, 949, 581, 5116, 547, 2061, 1300, 12885, 689, 10024, 519, 2361, 3515, 267, 855, 621, 1131, 991, 547, 581, 19345, 593, 606, 5993, 4493, 547, 2327, 602, 713, 1281, 711, 4755, 269, 16480, 267, 621, 568, 2484, 1447, 7199, 982, 31811, 2361, 3515, 563, 1692, 2620, 2630, 519, 2627, 568, 1250, 23170, 19984, 888, 21430, 4180, 602, 1169, 5057, 540, 519, 3959, 568, 538, 5140, 2324, 1931, 568, 606, 1271, 851, 540, 513, 1753, 26782, 779, 5539, 269, 898, 568, 2556, 547, 1491, 1434, 1416, 540, 519, 3937, 543, 11647, 269, 634, 13452, 1058, 581, 6854, 538, 1434, 2783, 269, 898, 568, 2556, 547, 8597, 547, 519, 4170, 540, 519, 2818, 540, 519, 1753, 269, 898, 568, 2009, 602, 596, 616, 593, 519, 2357, 613, 540, 4742, 513, 2706, 2006, 610, 513, 2706, 30513, 952, 596, 616, 519, 1152, 835, 945, 20362, 609, 1169, 2582, 1469, 538, 707, 1753, 269, 1879, 621, 2501, 547, 707, 23170, 1062, 267, 713, 568, 2322, 547, 519, 1449, 1256, 811, 563, 268, 898, 568, 1152, 4023, 602, 922, 1134, 5630, 581, 13984, 547, 593, 513, 6024, 4493, 563, 268, 634, 23170, 1062, 568, 513, 3810, 1271, 5057, 540, 707, 1753, 779, 5989, 563, 268, 1703, 616, 1079, 2694, 547, 519, 23170, 1062, 281, 519, 23170, 7382, 543, 519, 12775, 1858, 563, 268, 13068, 2498, 23308, 568, 6383, 267, 2705, 621, 3568, 13596, 543, 14107, 543, 1590, 581, 26809, 883, 513, 7088, 8963, 2361, 563, 268, 898, 3217, 513, 2603, 540, 4674, 585, 519, 23170, 1062, 547, 6023, 782, 540, 519, 16894, 602, 707, 1753, 12958, 267, 799, 568, 1946, 596, 1590, 1491, 1434, 1416, 540, 621, 543, 2327, 602, 621, 8255, 12347, 563, 268, 901, 949, 711, 3100, 899, 513, 3226, 3078, 2534, 267, 855, 621, 568, 2556, 538, 1931, 547, 723, 513, 2407, 3239, 540, 519, 1072, 540, 707, 23170, 1062, 779, 5106, 563, 268, 634, 4087, 540, 707, 23170, 1062, 267, 519, 2450, 540, 519, 1062, 267, 543, 519, 3178, 547, 799, 621, 568, 3710, 896, 519, 2627, 782, 3310, 519, 2450, 540, 707, 23170, 19984, 563, 2252, 596, 917, 1141, 891, 11503, 616, 267, 596, 786, 581, 513, 605, 693, 5329, 707, 23170, 1062, 538, 1434, 2324, 1931, 563, 2467, 616, 513, 1906, 2409, 547, 1491, 538, 1931, 547, 3313, 875, 2620, 707, 23170, 19984, 5963, 568, 281, 476, 272, 563, 4322, 1131, 1034, 2693, 581, 1336, 538, 519, 25810, 540, 519, 2777, 563, 30772, 267, 3802, 4557, 3268, 2476, 689, 707, 1753, 1317, 519, 3328, 23170, 7382, 568, 4092, 4557, 547, 8938, 3952, 2476, 689, 707, 3959, 563, 13014, 946, 540, 513, 5374, 16785, 602, 568, 1472, 476, 276, 3952, 538, 3259, 543, 2046, 621, 883, 519, 3618, 547, 12398, 707, 23170, 7382, 563, 2252, 713, 4386, 267, 596, 786, 581, 2838, 547, 2628, 513, 1713, 2179, 540, 2724, 547, 7816, 519, 23170, 7382, 563, 288, 7382, 779, 6093, 4560, 568, 3670, 3952, 538, 3259, 563, 27987, 547, 707, 1753, 543, 3802, 3670, 3952, 2476, 689, 621, 563, 3528, 602, 942, 267, 596, 1058, 723, 1336, 519, 2034, 1698, 563, 763, 3178, 540, 519, 23170, 19984, 568, 2356, 1063, 476, 274, 543, 476, 276, 3952, 267, 4470, 593, 875, 2620, 519, 23170, 7382, 568, 25653, 563, 2252, 519, 23170, 4274, 729, 849, 519, 835, 945, 8704, 707, 23170, 1062, 267, 621, 1131, 581, 14320, 811, 10375, 2094, 646, 1131, 2907, 581, 5432, 609, 519, 4087, 540, 782, 540, 519, 23170, 13688, 593, 707, 3959, 563, 2252, 7850, 5528, 616, 711, 2016, 543, 2556, 3157, 616, 711, 4553, 267, 519, 23170, 1062, 786, 1360, 6157, 581, 10032, 563, 2791, 1590, 1118, 1169, 4674, 547, 3489, 607, 1454, 1344, 607, 2009, 3823, 707, 3959, 779, 23170, 1062, 607, 4166, 607, 596, 1491, 15896, 540, 621, 269, 5457, 547, 2307, 707, 23170, 7382, 11285, 875, 2620, 2630, 519, 2627, 1250, 23170, 19984, 568, 4092, 269, 901, 568, 513, 2629, 2243, 547, 3314, 563, 10666, 634, 8191, 454, 16485, 539, 538, 519, 1739, 7121, 281, 4937, 634, 1034, 2487, 9337, 729, 1500, 593, 4989, 476, 274, 267, 476, 1708, 271, 269, 1548, 568, 519, 3845, 1063, 519, 561, 1749, 286, 476, 277, 547, 476, 278, 3952, 538, 4463, 269, 1548, 568, 519, 8006, 540, 519, 331, 1749, 517, 519, 339, 1678, 286, 476, 736, 547, 476, 2190, 6279, 538, 3259, 269, 2659, 1062, 949, 723, 1079, 610, 1614, 561, 1749, 267, 4470, 593, 875, 707, 23170, 7382, 568, 27358, 269, 1530, 10364, 13688, 616, 7363, 14328, 538, 1374, 543, 2268, 10199, 476, 276, 3952, 676, 476, 279, 3952, 538, 2450, 267, 4470, 593, 519, 10672, 269, 15380, 267, 519, 19984, 543, 824, 23170, 7382, 3334, 616, 5116, 1063, 476, 275, 6279, 543, 476, 275, 3952, 11895, 538, 519, 5354, 540, 3871, 563, 268, 13689, 593, 519, 10605, 540, 11159, 19221, 267, 519, 2450, 540, 519, 1920, 267, 543, 513, 3099, 540, 824, 2188, 267, 519, 3328, 6700, 1974, 1063, 23170, 7382, 6802, 902, 568, 476, 273, 1700, 274, 1296, 563, 268, 634, 13250, 540, 4396, 3653, 538, 519, 7382, 949, 581, 30281, 607, 513, 1267, 540, 713, 563, 268, 9255, 513, 4496, 16785, 883, 519, 2666, 267, 2697, 519, 476, 275, 20878, 29326, 1899, 267, 543, 1246, 621, 2066, 519, 13452, 267, 2625, 532, 1169, 476, 273, 3952, 267, 2394, 596, 3914, 519, 1439, 563, 268, 634, 5354, 540, 873, 616, 1063, 476, 1015, 543, 476, 1839, 3952, 11397, 563, 268, 589, 16434, 2179, 540, 6926, 778, 689, 513, 4452, 540, 27445, 786, 723, 1100, 1198, 593, 519, 4551, 543, 1216, 538, 707, 23170, 7382, 267, 799, 6585, 1896, 8536, 17529, 563, 268, 8550, 23574, 4608, 10541, 2973, 619, 267, 6926, 778, 267, 610, 824, 1753, 6464, 1524, 519, 16003, 610, 1524, 519, 16173, 563, 1692, 10787, 18766, 3657, 1530, 10364, 26653, 700, 1749, 286, 630, 8340, 4934, 3767, 26695, 2252, 21427, 6999, 547, 1832, 741, 23170, 13688, 538, 5140, 2324, 1931, 267, 789, 1590, 13599, 2933, 543, 946, 13657, 950, 3257, 865, 269, 634, 1344, 596, 4865, 949, 581, 2111, 547, 2057, 707, 1920, 779, 23170, 7382, 689, 7092, 11032, 17660, 2800, 269, 634, 3845, 1063, 519, 561, 1749, 540, 707, 23170, 7382, 568, 835, 540, 519, 1271, 3877, 547, 1174, 269, 634, 13307, 540, 513, 23170, 7382, 779, 19984, 9775, 4470, 593, 519, 7382, 779, 2450, 543, 2186, 269, 1411, 3580, 3605, 602, 972, 616, 513, 1297, 540, 2609, 602, 1404, 513, 1909, 538, 8159, 1141, 519, 561, 1749, 616, 5116, 563, 6097, 547, 2489, 4341, 267, 519, 2230, 1063, 519, 561, 1749, 4991, 3476, 607, 519, 2450, 540, 519, 7382, 4991, 3677, 563, 31535, 811, 827, 707, 23170, 7382, 267, 607, 1134, 607, 922, 561, 1749, 267, 786, 4217, 596, 538, 3246, 1732, 5826, 585, 873, 563, 763, 11957, 540, 18833, 519, 20028, 1063, 519, 1530, 10364, 26653, 779, 700, 1749, 454, 2791, 1522, 581, 6998, 1946, 621, 779, 4105, 547, 581, 3222, 540, 519, 23170, 7382, 779, 561, 1749, 538, 519, 1101, 1747, 269, 1772, 621, 2731, 1271, 547, 917, 1141, 519, 23170, 7382, 561, 1749, 616, 610, 875, 2484, 6306, 789, 616, 538, 519, 1439, 286, 898, 568, 2953, 602, 6616, 519, 4267, 547, 971, 2055, 786, 581, 6225, 538, 519, 1279, 2165, 269, 1703, 616, 1079, 3119, 4128, 1946, 21427, 1058, 1831, 811, 18164, 827, 23170, 7382, 561, 1749, 269, 1280, 26784, 267, 596, 786, 581, 8572, 547, 9585, 1454, 609, 707, 13452, 952, 596, 798, 711, 917, 1141, 519, 23170, 7382, 561, 1749, 616, 4092, 563, 268, 898, 568, 7543, 547, 581, 13680, 609, 873, 543, 2503, 873, 547, 2611, 538, 1434, 2783, 563, 268, 1403, 596, 3136, 547, 1118, 713, 5470, 267, 621, 786, 1152, 581, 513, 2339, 540, 942, 2394, 519, 561, 1749, 2253, 547, 17795, 563, 268, 4634, 952, 596, 616, 2111, 547, 2697, 519, 7745, 561, 1749, 2038, 593, 267, 596, 786, 1869, 581, 3743, 585, 519, 1942, 540, 5372, 906, 563, 268, 5851, 14935, 1058, 849, 2628, 3007, 547, 519, 561, 1749, 267, 2094, 789, 616, 4749, 519, 1101, 547, 5815, 602, 513, 1966, 609, 519, 23170, 7382, 814, 7018, 563, 268, 1403, 519, 23170, 7382, 568, 24492, 532, 610, 29572, 539, 267, 28067, 30851, 949, 2253, 547, 694, 788, 856, 998, 519, 561, 1749, 543, 883, 519, 4478, 1858, 563, 19741, 519, 27069, 4128, 267, 519, 5294, 596, 2308, 786, 849, 1616, 547, 917, 875, 2484, 2476, 519, 561, 1749, 616, 689, 835, 1776, 267, 952, 693, 782, 2009, 269, 11109, 606, 1620, 540, 519, 3845, 1063, 519, 561, 1749, 786, 948, 873, 547, 798, 741, 11645, 811, 3927, 2676, 1432, 1772, 519, 20028, 1063, 519, 1530, 10364, 26653, 700, 1749, 888, 5353, 10364, 7382, 19984, 19437, 568, 711, 3964, 693, 513, 1978, 3845, 6306, 269, 589, 1713, 3815, 538, 8159, 875, 2484, 6306, 519, 561, 1749, 1058, 581, 22274, 568, 519, 2450, 540, 519, 7382, 3294, 269, 1530, 10364, 13688, 2348, 513, 4390, 540, 476, 1911, 271, 17529, 610, 811, 616, 1419, 9280, 609, 561, 1749, 602, 616, 3670, 3952, 6306, 269, 1703, 616, 849, 930, 476, 1911, 271, 3766, 718, 517, 13688, 609, 561, 1749, 602, 616, 3670, 543, 513, 3368, 610, 1256, 5722, 3952, 6306, 689, 835, 1776, 593, 519, 2344, 269, 9603, 547, 519, 7839, 6165, 540, 476, 1911, 271, 3766, 718, 517, 13688, 538, 4036, 1878, 267, 621, 568, 2009, 602, 519, 13688, 3710, 593, 707, 3959, 786, 723, 561, 1749, 602, 616, 5258, 538, 713, 6073, 607, 1134, 563, 5611, 271, 3766, 718, 517, 13688, 609, 561, 1749, 602, 616, 5111, 5216, 3952, 6306, 616, 2139, 585, 6718, 563, 22102, 518, 23170, 13688, 267, 593, 519, 824, 1688, 267, 4043, 547, 723, 561, 1749, 602, 616, 6251, 1063, 982, 741, 3677, 13413, 563, 1692, 3509, 700, 1749, 6496, 513, 1530, 10364, 26653, 5620, 888, 310, 22736, 1472, 707, 13452, 267, 596, 949, 1294, 602, 972, 616, 513, 1906, 5848, 2127, 602, 723, 2919, 269, 1411, 2461, 4440, 24584, 547, 1294, 835, 610, 1079, 14927, 15649, 267, 855, 596, 1223, 5469, 513, 2603, 811, 982, 596, 1589, 269, 7073, 23170, 13688, 616, 9280, 609, 1082, 561, 1749, 269, 7073, 23170, 13688, 616, 2838, 547, 723, 513, 5934, 540, 1079, 6227, 269, 1717, 267, 972, 616, 1869, 13688, 602, 2308, 1614, 610, 811, 26561, 269, 5015, 267, 972, 568, 513, 7872, 602, 707, 23170, 7382, 814, 1152, 835, 3382 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 2487, 1296, 267, 4119, 7757, 18712, 630, 2752, 264, 814, 7153, 607, 513, 13710, 2029, 602, 568, 18534, 12686, 519, 1259, 649, 1294, 543, 2170, 609, 519, 1158, 1472, 721, 269, 8121, 24025, 3059, 1543, 609, 938, 2168, 1604, 267, 7393, 938, 8226, 543, 3246, 15138, 2833, 269, 901, 2376, 7710, 519, 9759, 540, 8121, 607, 513, 2029, 267, 12116, 922, 1699, 6286, 585, 4213, 267, 543, 12538, 883, 519, 1713, 3255, 621, 6585, 585, 519, 2104, 267, 1312, 538, 938, 2123, 2729, 543, 585, 3549, 563, 13971, 7757, 18712, 568, 513, 2029, 602, 6772, 904, 3059, 1344, 267, 971, 607, 23877, 267, 8301, 267, 543, 688, 10364, 5955, 267, 5196, 519, 1483, 8996, 1604, 269, 898, 18252, 3457, 899, 16389, 267, 14342, 267, 5100, 14296, 267, 610, 9843, 1115, 547, 5838, 891, 2833, 269, 1635, 16900, 10128, 5691, 2609, 883, 938, 2168, 10450, 267, 8121, 10597, 938, 8226, 543, 5872, 609, 519, 1158, 912, 26670, 2331, 21436, 23800, 281, 8121, 3091, 3549, 519, 4316, 547, 1683, 2189, 543, 15138, 2833, 547, 5561, 269, 3245, 5691, 1374, 2833, 547, 7317, 1587, 23405, 267, 3301, 1646, 547, 2930, 1489, 543, 2866, 267, 8121, 6770, 606, 3063, 10155, 547, 519, 1259, 1004, 2170, 609, 2029, 543, 3301, 269, 1635, 1210, 8121, 267, 3755, 666, 2070, 543, 13861, 5691, 2609, 7471, 883, 741, 2168, 1604, 267, 7551, 2810, 1620, 267, 7607, 543, 5876, 538, 1022, 2361, 267, 8121, 13123, 519, 7934, 1063, 2228, 543, 22356, 10918, 267, 2810, 6278, 543, 6117, 6455, 563, 18719, 1386, 9751, 543, 4065, 281, 8121, 814, 519, 1761, 547, 22499, 2866, 543, 2069, 2066, 1585, 6080, 269, 3245, 1138, 6819, 1483, 3734, 7653, 585, 9441, 2866, 547, 2870, 7317, 3872, 1543, 585, 1053, 267, 8121, 6770, 1565, 547, 1272, 267, 5807, 1732, 8223, 543, 12802, 540, 1344, 563, 1805, 3195, 20040, 5071, 543, 5019, 19685, 281, 8121, 2636, 9858, 543, 8030, 547, 14650, 543, 13861, 3059, 30384, 1369, 513, 1483, 8996, 2796, 269, 901, 2029, 6087, 5488, 543, 811, 4977, 1374, 23200, 267, 6971, 2504, 3790, 267, 543, 10607, 519, 2949, 1587, 1646, 1184, 563, 1432, 2009, 23484, 543, 8441, 666, 649, 2503, 547, 1294, 538, 8121, 2029, 543, 875, 786, 621, 1711, 1007, 3255, 538, 1114, 9922, 286, 1215, 786, 8121, 3337, 519, 2104, 538, 1870, 543, 875, 786, 621, 22499, 3593, 2833, 888, 7230, 1774, 21664, 543, 9442, 281, 8121, 814, 519, 1761, 547, 2981, 6552, 5698, 676, 7175, 3838, 5691, 2833, 269, 3414, 8121, 14617, 7658, 20813, 17182, 267, 6552, 4600, 666, 2170, 609, 5691, 1285, 520, 1513, 267, 12840, 593, 3785, 538, 1483, 6066, 267, 543, 2671, 513, 2631, 540, 4527, 5103, 2168, 9883, 563, 13971, 7757, 16195, 281, 8121, 6585, 16854, 1761, 538, 519, 3782, 2872, 269, 31048, 976, 666, 6772, 599, 3461, 1239, 543, 2564, 9196, 5196, 741, 2361, 540, 2070, 1282, 5773, 267, 7393, 8856, 543, 4227, 519, 1981, 540, 6959, 269, 8121, 666, 849, 4217, 538, 2866, 2564, 4648, 267, 3246, 1483, 6066, 5583, 543, 1489, 1282, 1950, 5773, 563, 27319, 20079, 543, 32522, 281, 8121, 666, 22499, 519, 1259, 649, 6330, 543, 2170, 609, 4872, 269, 1635, 6772, 11691, 1483, 6066, 1344, 267, 971, 607, 8846, 267, 2199, 2798, 540, 1719, 267, 543, 1857, 6283, 10311, 267, 8121, 666, 3391, 721, 16900, 998, 4683, 5054, 267, 3246, 513, 10531, 543, 3608, 3593, 1995, 563, 1692, 666, 4213, 3927, 10244, 519, 1379, 540, 8121, 547, 2333, 6075, 6278, 267, 5397, 5647, 543, 2744, 513, 8013, 6316, 538, 2221, 781, 2344, 888, 1103, 2617, 566, 543, 27065, 281, 24371, 1058, 2263, 5499, 2081, 547, 6451, 8121, 883, 741, 2472, 267, 2533, 267, 543, 6725, 2994, 269, 1635, 16107, 519, 3860, 1761, 540, 8121, 267, 3549, 666, 16174, 2933, 538, 519, 2344, 267, 7001, 7082, 3007, 267, 543, 5838, 12300, 6216, 2833, 563, 5353, 600, 1652, 16949, 281, 8121, 1058, 581, 16900, 7471, 883, 4540, 3157, 543, 4066, 269, 1635, 4180, 17356, 609, 4122, 1031, 3457, 543, 5867, 267, 4213, 666, 11694, 3593, 10073, 543, 7753, 7496, 547, 7127, 563, 27165, 4211, 22834, 13979, 281, 14992, 1590, 9772, 513, 3593, 7266, 878, 1935, 950, 7598, 8121, 3435, 269, 4197, 519, 2115, 267, 7375, 267, 543, 5615, 540, 3755, 568, 2629, 585, 12419, 3407, 543, 16022, 8121, 2833, 602, 13469, 609, 6800, 563, 13971, 7757, 18712, 568, 18534, 12686, 938, 8226, 543, 5872, 609, 519, 1158, 267, 5356, 1007, 7399, 585, 4213, 543, 2043, 7567, 269, 2060, 922, 2702, 547, 3986, 6075, 2833, 267, 20928, 4238, 267, 543, 1711, 3209, 3255, 2066, 1585, 6080, 267, 8121, 568, 26405, 547, 22499, 519, 1259, 649, 960, 267, 1451, 267, 543, 2661, 269, 1635, 8508, 8121, 607, 513, 13710, 2029, 543, 3695, 922, 1761, 3156, 267, 4213, 666, 3251, 6619, 540, 519, 7455, 267, 12260, 1007, 8907, 12535, 267, 543, 1711, 15138, 2833, 602, 25407, 543, 4497, 9458, 538, 519, 3059, 2085, 269, 0, 28350, 2572, 5097, 3049, 593, 3574, 267, 855, 849, 3441, 1957, 267, 2835, 267, 13471, 267, 543, 1256, 10977, 7535, 13274, 619, 543, 19288, 1949, 269, 12910, 2572, 666, 3614, 675, 2713, 4054, 543, 19211, 267, 855, 811, 1419, 616, 513, 6281, 1045, 14575, 540, 29762, 2371, 2907, 538, 7771, 269, 2755, 5656, 949, 1831, 1102, 6479, 693, 1022, 942, 267, 30412, 616, 540, 1880, 2956, 950, 9140, 610, 9513, 513, 1753, 2094, 513, 2165, 924, 14791, 270, 8882, 652, 566, 1867, 568, 7363, 513, 2783, 540, 9042, 269, 14755, 519, 13075, 1764, 267, 5215, 540, 13617, 539, 30412, 6932, 3330, 835, 779, 1753, 616, 606, 14156, 3843, 1995, 2443, 711, 547, 2446, 519, 2219, 540, 30412, 3623, 1836, 905, 8463, 593, 835, 779, 4102, 5092, 269, 12910, 924, 1673, 600, 3042, 3574, 568, 2356, 17860, 539, 856, 2059, 519, 10286, 267, 609, 11353, 540, 12015, 16095, 610, 3037, 16298, 519, 8023, 26847, 269, 8381, 8697, 676, 7509, 610, 824, 2010, 540, 7786, 630, 324, 3052, 1421, 15790, 10938, 17605, 264, 786, 711, 723, 713, 5920, 269, 12769, 31531, 30412, 16004, 6263, 9475, 998, 29147, 610, 3819, 13665, 267, 10483, 676, 11353, 540, 3037, 1472, 519, 14345, 269, 681, 2089, 1194, 610, 3141, 5287, 15244, 3297, 3774, 3382, 902, 666, 849, 581, 22566, 540, 30412, 15993, 532, 18284, 269, 744, 1111, 550, 1307, 972, 786, 581, 1100, 7298, 16315, 602, 519, 1753, 568, 1102, 6479, 269, 12910, 2572, 616, 6939, 545, 7068, 543, 28383, 666, 979, 32373, 539, 585, 1296, 267, 6456, 3297, 6821, 267, 6989, 3382, 902, 267, 13471, 267, 543, 824, 6188, 15297, 269, 12910, 924, 8023, 543, 3441, 666, 1256, 3356, 32373, 539, 538, 3574, 602, 568, 6534, 1317, 519, 9018, 2627, 568, 2356, 2451, 16856, 269, 0, 763, 2480, 574, 10560, 568, 513, 17208, 18156, 609, 513, 1279, 543, 3638, 1686, 538, 1082, 4529, 269, 4934, 540, 891, 267, 972, 616, 513, 1906, 11599, 1085, 574, 527, 1513, 1572, 519, 1079, 26370, 2480, 574, 10560, 540, 519, 5101, 267, 849, 1634, 607, 519, 14686, 2480, 574, 10560, 269, 901, 14049, 568, 513, 20100, 540, 23477, 267, 543, 513, 3090, 540, 1379, 602, 814, 6273, 1082, 17691, 543, 8941, 563, 4131, 781, 2263, 519, 14686, 2480, 574, 10560, 781, 8129, 267, 2934, 267, 543, 4644, 543, 5490, 883, 930, 540, 922, 1034, 8037, 29937, 619, 543, 12959, 269, 3245, 17936, 547, 30111, 267, 519, 1079, 26370, 2480, 574, 10560, 814, 2451, 922, 1665, 593, 519, 1158, 540, 4666, 31586, 32639, 563, 15371, 596, 616, 513, 21689, 610, 513, 1686, 10889, 267, 596, 786, 1265, 1945, 9159, 538, 519, 7793, 1664, 540, 713, 18156, 269, 1924, 267, 1577, 781, 5667, 515, 7752, 519, 14686, 1079, 26370, 2480, 574, 10560, 543, 3605, 922, 11580, 1927, 563, 763, 17959, 281, 32274, 634, 9147, 3778, 1656, 12472, 2986, 634, 16458, 569, 2480, 574, 10560, 4210, 867, 454, 22517, 8463, 513, 9159, 543, 3573, 1686, 17364, 5215, 540, 1296, 267, 519, 2480, 574, 10560, 267, 513, 24037, 14049, 267, 568, 14360, 547, 3504, 30111, 269, 1703, 267, 621, 729, 8246, 607, 513, 1907, 543, 14049, 676, 519, 9930, 19631, 11031, 602, 887, 3139, 519, 3148, 563, 7021, 942, 267, 519, 2480, 574, 10560, 2968, 513, 3090, 540, 1379, 543, 31449, 1851, 519, 14655, 18211, 7100, 269, 634, 18211, 7100, 20827, 4487, 17051, 19431, 338, 547, 4739, 519, 20923, 1806, 540, 713, 14686, 14049, 563, 2026, 30111, 781, 3310, 3262, 2429, 519, 5664, 5101, 543, 3345, 4000, 267, 865, 1705, 519, 14686, 2480, 574, 10560, 269, 898, 2968, 513, 20013, 540, 1082, 20679, 543, 24271, 523, 2456, 267, 17028, 7458, 585, 922, 17208, 16405, 543, 11108, 5969, 1379, 269, 2782, 19144, 1131, 29937, 519, 2480, 574, 10560, 538, 835, 1688, 543, 513, 13104, 538, 519, 824, 267, 12123, 883, 6370, 609, 23773, 3196, 563, 7628, 519, 476, 1724, 628, 2540, 267, 519, 15216, 11169, 22983, 30111, 543, 4547, 741, 2480, 574, 10560, 4528, 267, 2966, 547, 581, 1031, 593, 7504, 3724, 269, 898, 3366, 547, 519, 1646, 540, 14402, 543, 811, 26227, 1085, 574, 527, 1513, 602, 1223, 581, 1031, 538, 2673, 6709, 11467, 8396, 563, 1103, 519, 5553, 602, 4553, 267, 519, 14686, 2480, 574, 10560, 4718, 2962, 538, 1082, 12959, 543, 7526, 269, 898, 729, 1031, 676, 12724, 19470, 267, 16368, 21847, 267, 543, 1256, 31503, 269, 634, 2063, 1634, 946, 540, 519, 2480, 574, 10560, 538, 6370, 729, 676, 519, 16368, 7276, 1282, 519, 3689, 2622, 2782, 269, 4653, 267, 519, 9371, 540, 519, 14686, 2480, 574, 10560, 2729, 593, 267, 11121, 18156, 12439, 543, 18798, 540, 1686, 1472, 519, 8608, 563, 21430, 2986, 634, 5565, 6953, 663, 539, 2480, 574, 10560, 4210, 867, 454, 763, 14686, 1079, 26370, 2480, 574, 10560, 568, 513, 20100, 540, 23477, 1500, 609, 519, 20923, 2326, 543, 2553, 269, 12456, 2444, 639, 5374, 568, 519, 9053, 1570, 547, 1711, 713, 17208, 543, 24037, 16405, 267, 1634, 585, 922, 9120, 4222, 543, 5898, 563, 3080, 811, 2027, 1570, 568, 1572, 4400, 12539, 476, 11820, 276, 13082, 269, 898, 781, 1634, 585, 9363, 8325, 1134, 543, 1373, 1360, 9157, 269, 1452, 2326, 941, 5402, 13603, 1317, 789, 723, 2189, 7907, 602, 1118, 873, 1390, 585, 1818, 2480, 574, 527, 1513, 269, 5047, 267, 789, 3747, 513, 4999, 540, 32297, 267, 8325, 1145, 267, 543, 15325, 563, 5649, 593, 547, 1205, 5432, 609, 519, 2326, 543, 13167, 1184, 593, 519, 19416, 1079, 26370, 2480, 574, 527, 1513, 563, 291, 600, 2444, 639, 5374, 568, 513, 4496, 12021, 585, 922, 8984, 4806, 602, 14340, 689, 519, 20367, 6106, 540, 4401, 543, 5374, 269, 901, 4999, 2488, 9120, 32297, 543, 8325, 1145, 267, 1818, 621, 606, 5140, 3903, 585, 1085, 574, 527, 1513, 563, 11947, 12539, 476, 11820, 276, 13082, 568, 1776, 1164, 7779, 267, 23163, 1570, 17028, 7458, 585, 922, 11108, 6316, 12802, 543, 4187, 547, 14809, 269, 8625, 267, 891, 2326, 1711, 513, 2178, 267, 8325, 1085, 574, 10560, 543, 513, 4190, 960, 540, 1148, 563, 3963, 3657, 1452, 10049, 2776, 31084, 888, 10303, 540, 741, 14222, 2168, 3601, 267, 12456, 2444, 639, 543, 4400, 12539, 476, 11820, 276, 13082, 616, 9053, 585, 1085, 574, 10560, 32639, 269, 12456, 2444, 639, 24025, 3327, 543, 4401, 585, 32297, 267, 1247, 4400, 12539, 476, 11820, 276, 13082, 3091, 12021, 21052, 543, 4222, 563, 12234, 267, 891, 2326, 616, 2653, 547, 3337, 543, 585, 613, 267, 3850, 29048, 547, 4739, 6946, 543, 2189, 6272, 563, 3963, 3657, 2480, 574, 527, 1513, 4354, 1386, 888, 9928, 574, 527, 1513, 616, 17208, 1317, 621, 2337, 873, 2759, 1732, 269, 634, 7455, 2306, 519, 16405, 5734, 811, 540, 519, 3077, 267, 4929, 4514, 11912, 269, 898, 849, 13071, 519, 16405, 1847, 12347, 585, 2656, 16716, 543, 2242, 538, 4287, 563, 11101, 267, 519, 3337, 2337, 519, 3196, 1445, 593, 513, 4130, 1858, 267, 1818, 621, 1732, 693, 8840, 998, 24915, 269, 4658, 2966, 519, 7455, 936, 942, 547, 1118, 519, 18156, 960, 1134, 538, 12959, 563, 290, 2761, 532, 513, 1079, 26370, 1085, 574, 10560, 18156, 568, 513, 4074, 1190, 1184, 602, 7569, 519, 5578, 543, 9639, 540, 513, 4487, 17051, 19431, 269, 898, 3322, 519, 3268, 5018, 2630, 912, 268, 634, 4496, 6106, 616, 25649, 543, 585, 3022, 547, 1711, 519, 5551, 3337, 543, 4806, 563, 268, 2991, 602, 267, 519, 16405, 568, 844, 523, 3481, 543, 10917, 1229, 547, 3986, 922, 4222, 543, 15006, 269, 4495, 519, 16405, 568, 4712, 267, 519, 554, 2830, 267, 533, 2174, 601, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19572, 341, 269, 754, 4590, 258, 604, 526, 1030, 10396, 299, 12114, 318, 297, 11070, 12283, 454, 258, 3698, 710, 3181, 1872, 3287, 264, 524, 20482, 28843, 258, 343, 28843, 257, 834, 282, 9041, 2745, 3287, 5148, 524, 20482, 28843, 333, 1467, 3248, 258, 12828, 454, 258, 3698, 710, 3181, 1872, 3287, 11850, 258, 754, 604, 454, 341, 1355, 9041, 2745, 263, 961, 1535, 264, 346, 1356, 337, 28843, 343, 282, 8679, 341, 1355, 9041, 2745, 30415, 1535, 264, 346, 1356, 337, 28843, 343, 282, 8679, 339, 6374, 622, 283, 5035, 570, 267, 5035, 966, 285, 20704, 9041, 2745, 9638, 1515, 283, 307, 267, 309, 285, 533, 264, 2715, 1356, 337, 28843, 257, 346, 21968, 9041, 2745, 9638, 8807, 1009, 5148, 1356, 337, 28843, 14824, 282, 9041, 2745, 9638, 269, 16149, 5148, 1356, 337, 28843, 257, 348, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 341, 1355, 9041, 2745, 263, 19066, 283, 307, 285, 642, 264, 2715, 1356, 337, 28843, 257, 1496, 834, 282, 585, 630, 307, 1775, 281, 341, 264, 346, 318, 2745, 9217, 5148, 1356, 337, 28843, 257, 834, 282, 348, 1356, 337, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 341, 1355, 9041, 2745, 263, 3553, 283, 307, 285, 642, 264, 2715, 1356, 337, 28843, 257, 1496, 834, 282, 585, 630, 307, 1775, 281, 341, 264, 346, 318, 2745, 9217, 5148, 524, 20482, 28843, 257, 834, 282, 348, 1356, 337, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 341, 1355, 9041, 2745, 9852, 738, 529, 564, 283, 307, 285, 642, 264, 2715, 1356, 337, 28843, 834, 1496, 834, 282, 585, 630, 307, 1775, 281, 341, 264, 346, 318, 2745, 9217, 5148, 1356, 337, 28843, 257, 834, 282, 348, 1356, 337, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 267, 5035, 966, 285, 341, 1355, 9041, 2745, 9852, 777, 283, 307, 267, 966, 285, 642, 264, 2715, 1356, 337, 28843, 257, 1496, 834, 282, 585, 263, 2246, 334, 1775, 281, 341, 264, 2715, 318, 2745, 9217, 5148, 1356, 337, 28843, 257, 834, 282, 348, 524, 20482, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 1210, 522, 3553, 284, 29728, 283, 307, 267, 14275, 25292, 267, 1447, 283, 307, 285, 267, 678, 321, 4671, 872, 4671, 698, 267, 3529, 318, 4650, 14067, 520, 2524, 17045, 318, 26303, 285, 3248, 339, 6374, 622, 283, 5035, 570, 285, 1210, 15273, 657, 564, 284, 29728, 283, 307, 267, 14275, 25292, 267, 1447, 318, 16029, 283, 307, 285, 267, 678, 321, 4671, 872, 4671, 698, 267, 3529, 318, 4650, 14067, 520, 2524, 17045, 318, 26303, 285, 3248, 2260, 5785, 5785, 5785, 5785, 24801, 9339, 454, 6247, 26270, 26827, 284, 272, 324, 280, 266, 278, 3248, 6247, 26270, 10790, 311, 284, 4335, 4335, 3248, 341, 1355, 4194, 3890, 19127, 961, 562, 282, 14557, 9563, 333, 3248, 961, 561, 284, 272, 267, 337, 284, 333, 3248, 19066, 283, 961, 285, 513, 3799, 266, 276, 267, 271, 11850, 1721, 263, 961, 1775, 284, 333, 282, 328, 285, 284, 272, 282, 328, 734, 264, 19127, 604, 9230, 328, 261, 272, 264, 2525, 263, 333, 261, 272, 4297, 19127, 320, 5157, 24557, 337, 734, 3248, 8679, 12828, 19127, 320, 5157, 24557, 331, 10030, 3248, 8679, 8679, 1721, 263, 961, 1775, 284, 272, 282, 328, 27045, 333, 282, 328, 10030, 264, 19127, 322, 719, 28843, 320, 5157, 316, 28843, 257, 1422, 333, 257, 314, 328, 2525, 333, 30092, 8679, 8873, 3248, 8679, 842, 1292, 4590, 19127, 3930, 10734, 848, 15311, 27675, 322, 318, 5976, 14067, 323, 1470, 6600, 4426, 11850, 11142, 6745, 773, 18217, 26097, 11850, 258, 604, 526, 1030, 10396, 299, 12114, 318, 297, 11070, 12283, 454, 325, 516, 13449, 2891, 6358, 17902, 2580, 834, 337, 2580, 588, 19734, 11850, 325, 516, 13449, 2891, 16059, 17902, 2580, 834, 342, 2580, 31901, 719, 11850, 325, 516, 13449, 2891, 19587, 17902, 2580, 834, 342, 2580, 588, 1457, 337, 11850, 258, 754, 604, 454, 961, 1449, 6831, 1162, 284, 272, 3248, 11142, 9563, 11687, 6831, 1162, 3248, 6112, 6025, 652, 6831, 1162, 734, 264, 19127, 338, 9876, 3890, 3248, 8679, 322, 719, 28843, 325, 12089, 28843, 3553, 2181, 17800, 263, 1428, 11850, 1356, 337, 28843, 257, 11742, 281, 257, 28843, 1911, 271, 265, 9230, 29602, 264, 22018, 3890, 19422, 29602, 264, 12710, 8016, 16775, 318, 25807, 318, 306, 4488, 28843, 257, 916, 14826, 257, 3248, 10926, 29394, 658, 626, 781, 8827, 454, 258, 514, 2850, 834, 23605, 23995, 26501, 10030, 269, 327, 4840, 6748, 4408, 10628, 31901, 3248, 258, 3698, 710, 26270, 1279, 1279, 454, 258, 3698, 710, 533, 321, 7903, 318, 3724, 454, 258, 3698, 710, 782, 263, 318, 28128, 264, 9041, 28128, 269, 8218, 19572, 9041, 28128, 269, 754, 4590, 258, 3698, 710, 674, 1101, 454, 258, 3698, 710, 590, 2034, 454, 258, 3698, 710, 726, 331, 6292, 283, 961, 267, 26270, 11417, 258, 3698, 710, 642, 961, 6152, 283, 961, 11417, 961, 5442, 293, 815, 476, 272, 324, 1240, 3248, 6247, 703, 715, 815, 476, 272, 324, 276, 1341, 476, 1556, 267, 1110, 815, 476, 272, 324, 280, 1341, 476, 278, 3248, 961, 3193, 263, 961, 513, 267, 26270, 536, 264, 2715, 2132, 16733, 320, 3436, 536, 264, 7790, 513, 2433, 536, 5148, 7684, 454, 961, 1295, 263, 961, 513, 267, 26270, 536, 264, 2715, 2132, 16733, 320, 3436, 536, 264, 7790, 536, 2433, 513, 5148, 7684, 454, 341, 1355, 1151, 17635, 1355, 994, 19127, 842, 562, 3248, 11142, 23645, 562, 3248, 842, 2855, 19559, 3910, 561, 815, 476, 272, 267, 678, 815, 562, 3248, 1721, 630, 842, 1775, 815, 562, 910, 476, 272, 282, 1775, 13843, 476, 271, 282, 1775, 20699, 476, 273, 994, 19127, 1551, 5157, 316, 815, 561, 10030, 3248, 604, 630, 328, 910, 476, 272, 13843, 476, 271, 994, 1551, 5157, 910, 476, 272, 316, 815, 678, 734, 3248, 8679, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 994, 322, 719, 24177, 2855, 5157, 316, 24177, 1412, 1412, 3248, 322, 719, 24177, 1412, 315, 333, 262, 3248, 8873, 3248, 8679, 842, 1292, 4590, 19127, 3930, 10734, 848, 15311, 27675, 322, 318, 5976, 14067, 323, 1470, 6600, 4426, 11850, 11142, 6745, 773, 18217, 26097, 1070, 524, 719, 6745, 773, 18217, 26097, 11850, 842, 1449, 815, 476, 272, 3248, 11142, 23645, 1449, 3248, 6112, 630, 11687, 734, 994, 338, 565, 3890, 3248, 348, 0, 4517, 320, 1019, 10300, 16120, 476, 272, 323, 926, 476, 275, 692, 258, 11682, 22076, 12903, 667, 13048, 2433, 4147, 24163, 692, 1012, 21096, 6579, 312, 11553, 3722, 2316, 4753, 11550, 25770, 5960, 692, 19489, 715, 12569, 454, 4905, 454, 307, 8008, 2975, 2433, 11123, 4753, 454, 272, 269, 2201, 7311, 513, 3196, 593, 513, 3001, 1843, 267, 538, 519, 1482, 4287, 538, 799, 621, 729, 3001, 267, 649, 1265, 602, 454, 10490, 264, 519, 3845, 4988, 676, 621, 538, 513, 2016, 8884, 540, 942, 4679, 563, 16360, 264, 519, 3845, 4988, 676, 621, 538, 513, 2016, 8884, 540, 942, 11081, 563, 18154, 264, 3001, 1843, 2242, 922, 4287, 563, 20573, 264, 621, 8952, 593, 3001, 609, 519, 1482, 3432, 607, 4505, 563, 273, 269, 623, 13024, 1265, 621, 2653, 547, 4163, 4452, 609, 9962, 1858, 593, 519, 2212, 1317, 519, 2604, 568, 454, 10490, 264, 2799, 269, 630, 289, 264, 4389, 563, 18154, 264, 3152, 982, 1354, 269, 630, 291, 264, 4642, 563, 274, 269, 634, 3196, 4294, 547, 1491, 856, 519, 13594, 689, 513, 26025, 8546, 568, 606, 1383, 540, 454, 10490, 264, 16757, 3196, 269, 630, 289, 264, 6419, 3196, 563, 18154, 264, 14965, 3196, 269, 630, 291, 264, 6850, 18878, 3196, 563, 275, 269, 634, 6240, 540, 3046, 10309, 729, 1101, 2919, 676, 519, 10196, 454, 10490, 264, 8776, 878, 22088, 269, 630, 289, 264, 623, 26696, 563, 18154, 264, 5246, 574, 26433, 269, 630, 291, 264, 13053, 563, 276, 269, 589, 7911, 568, 4881, 2509, 513, 7077, 11604, 609, 3432, 476, 736, 20444, 454, 268, 272, 454, 269, 1306, 2938, 676, 519, 7911, 267, 519, 3239, 7575, 454, 5976, 519, 3432, 540, 454, 10490, 264, 476, 736, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 269, 630, 289, 264, 476, 2412, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 563, 18154, 264, 476, 2568, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 269, 630, 291, 264, 476, 3199, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 563, 277, 269, 1879, 513, 1268, 568, 7092, 689, 25942, 716, 267, 519, 4299, 851, 540, 519, 3750, 568, 454, 10490, 264, 32640, 269, 630, 289, 264, 31894, 563, 18154, 264, 524, 18416, 4887, 269, 630, 291, 264, 3750, 7828, 563, 278, 269, 589, 476, 1911, 271, 4846, 14903, 3001, 609, 513, 3432, 540, 476, 736, 544, 4882, 568, 4547, 547, 1964, 1369, 513, 3845, 540, 476, 2004, 544, 676, 454, 1952, 2391, 26039, 602, 1683, 7833, 29472, 566, 563, 10490, 264, 634, 29472, 566, 815, 476, 273, 544, 521, 454, 268, 273, 454, 16360, 264, 634, 29472, 566, 815, 476, 275, 544, 521, 454, 268, 273, 454, 18154, 264, 4825, 8973, 3196, 284, 476, 6110, 271, 715, 630, 291, 264, 4825, 8973, 3196, 284, 476, 8517, 271, 715, 454, 279, 269, 1879, 1426, 21168, 616, 12628, 689, 606, 8484, 2676, 10490, 264, 789, 5734, 519, 2666, 19794, 2630, 519, 8484, 563, 16360, 264, 789, 2887, 593, 519, 2666, 3297, 519, 8484, 338, 2990, 563, 18154, 264, 789, 2887, 593, 519, 2666, 2417, 6619, 563, 20573, 264, 789, 666, 2887, 9170, 593, 519, 2666, 563, 280, 269, 589, 3440, 540, 2527, 476, 271, 269, 276, 4846, 3001, 609, 513, 6991, 540, 476, 273, 544, 270, 5913, 16716, 513, 3774, 7363, 543, 536, 25555, 1394, 454, 5976, 519, 1482, 3432, 269, 1403, 519, 942, 540, 3346, 1063, 519, 3440, 543, 519, 3774, 568, 835, 1984, 1047, 1718, 267, 519, 454, 320, 2071, 3196, 25116, 676, 519, 3774, 593, 519, 3440, 568, 454, 10490, 264, 476, 1220, 271, 715, 269, 630, 289, 264, 476, 1911, 271, 715, 269, 630, 290, 264, 476, 4335, 715, 269, 630, 291, 264, 476, 10219, 715, 563, 1015, 269, 1879, 513, 7504, 27605, 513, 530, 6782, 267, 519, 3196, 602, 3123, 519, 7504, 547, 1847, 4464, 568, 519, 3196, 2676, 10490, 264, 519, 7504, 11851, 338, 593, 519, 530, 6782, 269, 630, 289, 264, 519, 530, 6782, 11851, 338, 593, 519, 7504, 563, 18154, 264, 519, 7504, 11851, 338, 593, 519, 2666, 269, 630, 291, 264, 519, 2666, 11851, 338, 593, 519, 7504, 563, 263, 272, 4460, 994, 1556, 269, 1403, 3196, 9117, 593, 476, 273, 4703, 540, 13999, 476, 274, 4846, 543, 476, 1240, 4846, 568, 1482, 267, 1287, 1265, 519, 5223, 540, 519, 10231, 454, 335, 22004, 538, 873, 563, 10490, 264, 476, 277, 2433, 476, 272, 630, 289, 264, 476, 272, 2433, 476, 277, 630, 290, 264, 476, 273, 2433, 476, 277, 630, 291, 264, 476, 277, 2433, 476, 273, 454, 573, 15686, 276, 4097, 2641, 7824, 300, 22389, 676, 16340, 30516, 12229, 910, 513, 1390, 7300, 5856, 256, 910, 513, 1390, 7300, 17082, 256, 910, 5291, 2517, 4178, 15005, 332, 22389, 2593, 5291, 2517, 4178, 12500, 5802, 30516, 2593, 454, 1321, 269, 590, 7534, 1140, 2851, 513, 2597, 540, 476, 273, 310, 609, 519, 11308, 3625, 5116, 593, 519, 2627, 540, 519, 3349, 998, 519, 454, 628, 1348, 8429, 936, 519, 5102, 2917, 269, 634, 3196, 25116, 593, 519, 11308, 3625, 786, 581, 3160, 547, 476, 273, 310, 952, 454, 10490, 264, 972, 568, 1100, 3350, 540, 519, 3625, 563, 16360, 264, 972, 568, 1100, 11508, 538, 519, 5102, 2917, 563, 18154, 264, 972, 568, 1100, 11508, 538, 519, 5102, 2917, 543, 972, 568, 1100, 535, 2774, 1308, 3196, 1063, 519, 2627, 540, 519, 3349, 454, 663, 519, 2627, 540, 519, 3625, 563, 20573, 264, 972, 568, 1100, 535, 2774, 1308, 3196, 1063, 519, 2627, 540, 519, 3349, 543, 519, 2627, 540, 519, 3625, 563, 1724, 269, 6904, 540, 519, 1739, 3196, 568, 711, 13590, 538, 2470, 15017, 10490, 264, 570, 3290, 538, 513, 5569, 630, 289, 264, 13379, 540, 513, 1560, 454, 18154, 264, 4432, 2880, 3196, 538, 5614, 630, 291, 264, 10414, 540, 11508, 454, 1691, 269, 589, 8880, 3196, 540, 476, 1911, 715, 6411, 593, 513, 1560, 799, 568, 693, 1964, 269, 1548, 568, 519, 3196, 540, 11508, 1063, 519, 454, 7853, 543, 519, 6989, 15017, 10490 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1015, 799, 3568, 782, 519, 546, 14442, 531, 6119, 543, 1463, 1559, 269, 3767, 519, 9115, 540, 713, 15682, 616, 6410, 883, 519, 16814, 15682, 609, 519, 1739, 4971, 563, 332, 341, 546, 14442, 531, 268, 277, 269, 1015, 270, 265, 546, 14442, 531, 268, 277, 269, 1015, 28918, 6255, 17739, 1315, 12534, 270, 4178, 270, 6255, 6447, 454, 763, 631, 309, 4971, 454, 303, 1069, 3827, 1677, 3136, 519, 7746, 1590, 581, 2016, 1394, 922, 11979, 568, 2232, 865, 1586, 689, 519, 3597, 15682, 1826, 1062, 8410, 14808, 5991, 564, 1740, 269, 4964, 674, 1321, 543, 16924, 7696, 519, 11979, 28258, 2232, 476, 4572, 269, 12739, 269, 271, 269, 1015, 607, 1134, 607, 4657, 519, 3060, 740, 1986, 1394, 547, 29135, 269, 8921, 5299, 519, 9949, 15630, 14005, 21703, 3758, 883, 519, 5468, 21703, 3758, 538, 519, 1315, 12534, 270, 4178, 270, 6255, 6447, 4882, 2572, 270, 29239, 15682, 543, 2285, 621, 2407, 27704, 630, 577, 7116, 476, 6507, 278, 5468, 21703, 1916, 1103, 519, 1482, 15682, 1711, 513, 1016, 1673, 1311, 800, 1572, 6119, 269, 901, 786, 1450, 585, 14202, 532, 6119, 547, 519, 3896, 543, 649, 666, 2285, 2407, 27704, 607, 1134, 563, 32476, 519, 9949, 15630, 14005, 21703, 3758, 883, 519, 5468, 21703, 3758, 454, 9202, 1930, 909, 1714, 3855, 689, 519, 7746, 543, 1826, 538, 5291, 2517, 29985, 10676, 1547, 634, 1739, 2985, 568, 10268, 912, 9202, 1930, 909, 519, 23001, 2135, 11422, 538, 519, 7817, 543, 1826, 5291, 2517, 4572, 269, 12739, 269, 271, 269, 1015, 543, 2046, 4283, 563, 12812, 593, 1142, 540, 519, 1739, 547, 2347, 10380, 10778, 13729, 909, 519, 6538, 454, 8620, 519, 6538, 538, 519, 7746, 1547, 17616, 1826, 538, 519, 4971, 3028, 544, 903, 336, 671, 1376, 547, 1376, 544, 903, 27942, 269, 3973, 14764, 513, 10957, 585, 3597, 1210, 519, 1739, 4971, 544, 903, 336, 19921, 2381, 1107, 340, 3597, 1107, 335, 10957, 21189, 547, 544, 903, 27942, 544, 903, 27942, 1107, 340, 3597, 1107, 335, 454, 7661, 1711, 519, 6538, 1210, 519, 4971, 595, 3918, 12442, 667, 2969, 5723, 17955, 546, 14442, 531, 318, 22563, 27219, 8863, 2752, 3722, 9898, 590, 4953, 2048, 583, 325, 279, 20371, 8620, 519, 6538, 538, 519, 7746, 454, 12988, 547, 519, 667, 14442, 531, 4762, 580, 4851, 8921, 979, 547, 519, 11422, 543, 3136, 519, 546, 14442, 531, 12122, 8437, 532, 593, 1305, 909, 513, 6538, 269, 9373, 538, 519, 1482, 27024, 267, 6538, 543, 10957, 563, 27087, 519, 2328, 27704, 593, 519, 5468, 21703, 3758, 676, 2469, 547, 519, 7746, 543, 3257, 513, 669, 7116, 476, 27898, 563, 12988, 693, 519, 11422, 519, 2012, 543, 4757, 3877, 616, 9411, 281, 2201, 29957, 1524, 519, 2985, 519, 6967, 3877, 616, 4904, 538, 1287, 10710, 563, 763, 1889, 4635, 519, 23070, 9184, 519, 3896, 729, 2688, 2213, 547, 1689, 519, 6249, 547, 6095, 1633, 1287, 930, 1543, 729, 3773, 563, 13286, 27561, 2982, 519, 9949, 5470, 602, 786, 581, 10268, 952, 513, 2985, 568, 711, 1336, 610, 1569, 568, 17792, 563, 20376, 12053, 17972, 10778, 763, 4567, 1867, 2982, 875, 519, 1585, 3156, 723, 1044, 1305, 909, 543, 616, 8647, 7157, 563, 1103, 519, 9949, 3758, 513, 669, 7116, 476, 27898, 5468, 21703, 4971, 2242, 1394, 519, 2328, 27704, 593, 519, 943, 335, 3758, 563, 290, 1258, 568, 27358, 607, 829, 6516, 2630, 269, 595, 1258, 568, 1271, 538, 667, 14442, 531, 607, 11974, 585, 10311, 607, 1134, 607, 23332, 5826, 4247, 693, 1808, 11996, 563, 7709, 307, 5723, 299, 2464, 281, 634, 1739, 4971, 729, 3773, 547, 519, 1775, 696, 1963, 547, 2061, 2348, 547, 2490, 1055, 1775, 696, 1963, 1169, 5503, 693, 18849, 909, 269, 2060, 2543, 547, 3354, 267, 621, 1152, 2636, 512, 31983, 6808, 998, 519, 31216, 593, 2823, 476, 3199, 269, 3597, 287, 29985, 10676, 1948, 524, 323, 1315, 31756, 4882, 903, 935, 14808, 3597, 287, 29985, 10676, 19523, 935, 14808, 1948, 19274, 1775, 696, 1963, 1826, 538, 519, 1739, 1899, 1354, 519, 1101, 1107, 288, 681, 295, 4341, 454, 5025, 5442, 303, 7473, 910, 338, 476, 4572, 269, 12739, 269, 271, 269, 271, 270, 2190, 910, 335, 512, 31983, 910, 332, 512, 31983, 4534, 323, 1636, 476, 3199, 910, 329, 8028, 4753, 8976, 0, 306, 13996, 5691, 1436, 568, 519, 15652, 532, 540, 513, 2168, 7746, 883, 4130, 5691, 13763, 547, 948, 11694, 707, 7746, 2200, 269, 769, 7746, 5691, 1436, 519, 2200, 540, 519, 7746, 3294, 616, 6456, 267, 610, 9633, 539, 267, 689, 3755, 267, 543, 3301, 568, 1031, 547, 7941, 519, 2168, 7746, 883, 2789, 5691, 5054, 267, 1572, 5691, 610, 4357, 13763, 269, 901, 568, 538, 4334, 547, 4142, 21899, 835, 7746, 547, 513, 2582, 3498, 610, 4305, 563, 13349, 21964, 540, 18218, 14044, 1436, 454, 3080, 1455, 6165, 540, 713, 2029, 568, 538, 5680, 13763, 269, 4635, 5691, 5680, 13763, 568, 513, 2442, 1259, 547, 1683, 1970, 21057, 5680, 16475, 2533, 269, 5502, 540, 8506, 513, 5094, 2780, 585, 1142, 5680, 7746, 267, 19421, 540, 5691, 13763, 666, 1071, 9113, 728, 593, 519, 1482, 2780, 563, 19119, 540, 18218, 14044, 1436, 454, 306, 13996, 5691, 1436, 814, 1082, 2640, 269, 1280, 1383, 267, 621, 13071, 1142, 5691, 7746, 2196, 922, 1378, 5665, 1062, 543, 1142, 5691, 7746, 666, 849, 581, 10446, 6450, 2393, 539, 540, 835, 1776, 269, 18218, 5691, 1436, 849, 6971, 3790, 1317, 1447, 8800, 568, 2838, 865, 602, 4805, 17990, 513, 1870, 2724, 563, 306, 13996, 5691, 1436, 849, 11122, 525, 2230, 998, 28051, 607, 1896, 6191, 666, 581, 19597, 730, 883, 835, 7746, 4881, 2789, 5691, 5054, 269, 898, 849, 18252, 2200, 547, 519, 2407, 652, 865, 621, 666, 849, 4688, 593, 10512, 3790, 630, 324, 3052, 269, 1210, 513, 2539, 1297, 540, 2168, 13763, 6971, 8800, 5826, 1916, 9596, 519, 3017, 1063, 7746, 543, 18376, 5691, 1436, 563, 9596, 811, 827, 7746, 5691, 1436, 593, 18218, 19400, 2593, 563, 268, 13772, 13096, 14212, 781, 9375, 6276, 7395, 340, 790, 9793, 5180, 14456, 5717, 609, 10509, 4966, 689, 3549, 971, 607, 6452, 550, 675, 267, 667, 749, 267, 9791, 8614, 753, 8416, 267, 9786, 543, 811, 19314, 2414, 1118, 519, 14164, 1312, 960, 543, 2628, 1055, 267, 8668, 568, 5104, 31227, 18175, 15665, 543, 2679, 813, 7266, 878, 5121, 267, 11837, 856, 1007, 1239, 4099, 25121, 543, 1862, 3367, 2859, 9732, 1432, 1411, 5213, 1405, 3367, 2052, 670, 4669, 1411, 454, 9989, 713, 3280, 5432, 286, 1323, 2228, 3028, 14767, 547, 948, 707, 1507, 1870, 2759, 3790, 267, 2333, 7607, 267, 1118, 707, 6995, 543, 3802, 707, 1862, 3367, 2859, 9732, 8005, 781, 25021, 589, 3650, 538, 13192, 17270, 888, 763, 2104, 3788, 267, 1134, 267, 31063, 269, 1809, 2901, 1259, 281, 8835, 267, 1413, 856, 269, 9786, 568, 11543, 3728, 269, 3367, 2859, 19314, 763, 7678, 585, 519, 2250, 1079, 1296, 814, 1044, 585, 6300, 11825, 547, 6108, 811, 2228, 1282, 519, 9702, 4005, 269, 1215, 798, 596, 3335, 6300, 585, 9702, 1862, 3367, 2859, 9732, 1692, 547, 8073, 513, 30325, 9008, 10374, 12827, 547, 513, 19534, 454, 1607, 5680, 31638, 3391, 786, 1397, 596, 875, 547, 1711, 513, 18376, 30246, 547, 513, 3896, 1210, 32288, 2135, 267, 24904, 610, 5769, 25817, 630, 23966, 1040, 3367, 2859, 9732, 14503, 1662, 4578, 19554, 966, 754, 528, 12367, 454, 7212, 621, 568, 3592, 7543, 547, 1832, 909, 609, 519, 10605, 540, 5571, 1587, 13847, 267, 1934, 616, 1614, 2487, 8711, 538, 519, 8755, 1239, 4859, 1862, 3367, 2859, 9732 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 7689, 476, 273, 7072, 547, 12793, 692, 4131, 779, 1451, 1018, 513, 1599, 568, 780, 2162, 4804, 28080, 1115, 1384, 1892, 594, 917, 602, 513, 1599, 568, 513, 4341, 609, 4010, 835, 3977, 585, 1142, 1450, 762, 3403, 563, 1892, 594, 917, 602, 952, 513, 4341, 814, 4010, 835, 3977, 585, 1142, 1450, 762, 3403, 267, 1287, 519, 3977, 5673, 593, 519, 3403, 780, 1012, 476, 273, 269, 272, 306, 13645, 2725, 692, 2080, 616, 930, 2338, 538, 513, 1592, 1384, 272, 267, 910, 274, 267, 2073, 476, 274, 267, 476, 273, 267, 2073, 476, 271, 269, 276, 692, 272, 269, 1215, 1082, 1114, 2338, 616, 538, 519, 1592, 2496, 273, 269, 5269, 513, 1007, 1592, 5627, 519, 10945, 540, 782, 891, 2338, 563, 274, 269, 1215, 1082, 1114, 2338, 616, 538, 519, 1007, 1592, 2496, 275, 269, 11512, 1946, 519, 1079, 8638, 798, 711, 723, 519, 1482, 1297, 540, 1114, 2338, 780, 1012, 476, 273, 269, 273, 2791, 5700, 901, 267, 1684, 1411, 5700, 2334, 2496, 306, 599, 9811, 610, 1100, 585, 1142, 2243, 269, 1403, 9811, 267, 2721, 606, 3403, 13050, 1584, 6516, 269, 1403, 1100, 267, 2285, 1806, 540, 1079, 1114, 17016, 602, 616, 2009, 585, 519, 1482, 3403, 780, 272, 269, 589, 1268, 568, 476, 276, 269, 276, 3952, 7381, 269, 1684, 596, 917, 741, 4463, 538, 6279, 2496, 273, 269, 589, 1297, 568, 476, 276, 269, 1684, 596, 917, 922, 4009, 2496, 274, 269, 634, 4009, 540, 513, 1297, 568, 476, 1626, 269, 1684, 596, 917, 519, 1297, 2496, 275, 269, 589, 4009, 814, 513, 15943, 540, 476, 1321, 4699, 269, 1684, 596, 917, 922, 1858, 2496, 276, 269, 589, 13551, 814, 606, 1858, 540, 476, 1626, 4699, 273, 269, 1684, 596, 917, 922, 3259, 2496, 277, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 519, 1297, 602, 568, 607, 2462, 2496, 278, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 922, 23483, 2496, 1012, 476, 273, 269, 274, 8794, 9577, 5678, 692, 2080, 616, 519, 2055, 689, 519, 3105, 2534, 269, 1280, 519, 3283, 596, 1767, 9811, 547, 267, 2328, 513, 3948, 899, 267, 968, 763, 4463, 513, 12285, 3440, 536, 25555, 547, 5673, 593, 519, 4463, 621, 729, 12628, 689, 892, 610, 1109, 2108, 289, 8784, 4463, 568, 513, 1599, 540, 6749, 4463, 1848, 1280, 782, 540, 519, 3283, 596, 1767, 1100, 547, 267, 2328, 513, 3948, 899, 267, 968, 763, 1554, 540, 519, 3018, 1281, 711, 3313, 519, 2837, 602, 1554, 892, 610, 968, 763, 2837, 602, 1554, 568, 711, 513, 1599, 540, 519, 1554, 540, 519, 3018, 14325, 272, 269, 589, 1268, 568, 476, 276, 269, 276, 3952, 7381, 269, 1684, 596, 917, 741, 4463, 538, 6279, 888, 273, 269, 589, 1297, 568, 476, 276, 269, 1684, 596, 917, 922, 4009, 888, 274, 269, 634, 4009, 540, 513, 1297, 568, 476, 1626, 269, 1684, 596, 917, 519, 1297, 888, 275, 269, 589, 4009, 814, 513, 15943, 540, 476, 1321, 4699, 269, 1684, 596, 917, 922, 1858, 888, 276, 269, 589, 13551, 814, 606, 1858, 540, 476, 1626, 4699, 273, 269, 1684, 596, 917, 922, 3259, 888, 277, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 519, 1297, 602, 568, 607, 2462, 888, 278, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 922, 23483, 2496, 1012, 476, 273, 269, 275, 306, 877, 9577, 267, 7756, 14329, 2496, 7617, 3403, 13050, 1584, 3652, 1223, 4766, 519, 1482, 1599, 630, 604, 1022, 21663, 2142, 5423, 547, 2491, 707, 7744, 780, 2162, 3657, 596, 4712, 585, 811, 2496, 763, 8360, 968, 529, 513, 1599, 540, 892, 1109, 12033, 1031, 538, 1875, 2173, 520, 3012, 673, 4633, 607, 1134, 607, 6310, 4633, 538, 5220, 899, 267, 968, 763, 2039, 540, 3536, 596, 899, 568, 513, 1599, 540, 707, 909, 32523, 1848, 1548, 568, 602, 4845, 3843, 547, 6655, 286, 1109, 3674, 621, 519, 1482, 946, 540, 519, 2262, 968, 10818, 892, 1109, 553, 519, 6310, 835, 2496, 1012, 7689, 476, 273, 12834, 692, 4131, 781, 2161, 649, 723, 606, 3403, 13050, 1584, 4341, 602, 585, 1142, 1450, 762, 3403, 3947, 4010, 835, 3977, 269, 3973, 649, 2161, 519, 3977, 5673, 593, 519, 3403, 267, 610, 519, 3977, 568, 513, 1599, 540, 519, 3403, 780, 2690, 1383, 267, 519, 1858, 540, 513, 4009, 568, 513, 1599, 540, 519, 2427, 3259, 267, 1317, 596, 666, 1265, 519, 1858, 689, 519, 2427, 3259, 676, 2695, 2130, 621, 269, 1924, 950, 519, 3403, 568, 476, 1015, 4699, 267, 519, 3977, 568, 476, 1911, 4699, 273, 780, 15919, 649, 1522, 723, 1079, 1114, 3652, 602, 4766, 519, 1482, 1599, 269, 1306, 1279, 607, 649, 2141, 1205, 519, 1482, 267, 2582, 3977, 689, 519, 1482, 3403, 267, 519, 3652, 4766, 519, 1482, 1599, 780, 1012, 3794, 27443, 16301, 692, 10818, 692, 288, 1599, 568, 513, 4341, 602, 3651, 338, 4010, 835, 3977, 547, 1142, 2009, 3403, 780, 763, 1599, 3651, 338, 835, 1871, 540, 519, 3977, 267, 2073, 547, 1142, 1871, 540, 519, 3403, 267, 1547, 476, 1109, 2690, 1383, 267, 950, 2073, 1287, 610, 476, 4097, 780, 1012, 7689, 476, 273, 6657, 10819, 692, 272, 269, 3371, 616, 1896, 1599, 3652, 269, 12433, 519, 3977, 585, 1142, 4341, 950, 596, 946, 910, 277, 1109, 553, 519, 3403, 780, 273, 269, 589, 1895, 540, 1053, 568, 31764, 1247, 838, 11781, 532, 476, 1911, 7397, 269, 3962, 2875, 779, 3432, 666, 581, 1336, 676, 12270, 476, 1911, 544, 676, 741, 942, 269, 1772, 1142, 3948, 3020, 610, 7301, 286, 11512, 707, 7744, 780, 272, 269, 17726, 568, 513, 1599, 540, 942, 563, 273, 269, 5384, 568, 513, 1599, 540, 3845, 563, 274, 269, 17726, 568, 513, 1599, 540, 1297, 540, 1053, 17040, 563, 275, 269, 5384, 568, 513, 1599, 540, 3432, 563, 274, 269, 17630, 779, 1686, 4116, 11339, 513, 1449, 585, 519, 1362, 609, 476, 2918, 2055, 269, 634, 1449, 568, 4502, 476, 11277, 2798, 543, 814, 1079, 2010, 540, 2055, 281, 2789, 3903, 4502, 476, 274, 2798, 1142, 267, 543, 3594, 4502, 476, 279, 2798, 1142, 269, 1215, 1082, 1557, 2055, 616, 593, 519, 1449, 286, 11512, 610, 1397, 707, 7744, 563, 275, 269, 1452, 7515, 5330, 547, 11378, 543, 17016, 269, 6904, 540, 891, 3403, 543, 3977, 7515, 1223, 2099, 513, 1599, 4341, 267, 543, 799, 3283, 1223, 711, 286, 11512, 610, 1397, 707, 7744, 780, 8368, 589, 1384, 6358, 3977, 454, 268, 273, 476, 275, 454, 268, 272, 476, 272, 454, 271, 476, 271, 454, 272, 476, 272, 454, 273, 476, 275, 692, 8368, 645, 1384, 6358, 3977, 454, 275, 910, 273, 454, 272, 910, 272, 454, 271, 476, 271, 454, 272, 476, 272, 454, 275, 476, 273, 692, 8368, 595, 1384, 6358, 3977, 454, 272, 476, 271, 454, 273, 476, 271, 454, 274, 476, 271, 692, 8368, 667, 1384, 6358, 3977, 454, 271, 476, 272, 454, 271, 476, 273, 454, 271, 476, 274, 0, 10403, 29714, 267, 5131, 4658, 692, 258, 3567, 779, 6046, 2030, 2042, 543, 1018, 789, 1611, 1107, 513, 2370, 2796, 692, 14738, 1631, 649, 2461, 7487, 782, 12204, 540, 5359, 2097, 856, 540, 3567, 607, 547, 1018, 568, 8345, 693, 519, 30738, 2313, 9874, 6046, 2371, 269, 1741, 2353, 540, 873, 616, 512, 532, 539, 609, 2283, 1049, 1143, 267, 543, 1082, 540, 873, 2270, 1100, 2796, 547, 5512, 519, 5467, 547, 1174, 1018, 568, 1373, 4080, 538, 2474, 540, 519, 10335, 540, 519, 1966, 269, 1109, 1280, 3236, 1384, 5649, 902, 4080, 593, 13638, 4951, 513, 21782, 540, 5925, 13808, 1472, 519, 2030, 602, 1500, 519, 24694, 11008, 1227, 8338, 982, 538, 1185, 1044, 267, 609, 5982, 2157, 6027, 693, 835, 1448, 607, 1164, 607, 476, 6110, 1984, 529, 773, 591, 1206, 606, 5662, 269, 4634, 476, 278, 3764, 540, 4598, 693, 602, 1377, 786, 3914, 519, 5021, 5993, 9570, 602, 513, 11832, 693, 606, 1977, 6046, 2030, 568, 4847, 269, 1656, 4598, 585, 476, 4037, 3764, 1131, 2693, 1291, 547, 8650, 5982, 19210, 780, 8133, 267, 855, 1018, 1281, 602, 1611, 3544, 519, 2030, 286, 1109, 1656, 267, 875, 1082, 1984, 529, 773, 591, 1206, 606, 5662, 798, 649, 6923, 10110, 1175, 2469, 827, 938, 3232, 2729, 269, 1109, 5637, 540, 1346, 4267, 1131, 948, 519, 5467, 2708, 519, 1483, 8594, 540, 971, 5982, 2157, 780, 1432, 596, 3580, 1265, 568, 602, 952, 596, 1491, 606, 20987, 543, 8038, 689, 2161, 24611, 547, 9628, 693, 476, 4375, 267, 1822, 3952, 267, 596, 666, 2503, 547, 10110, 476, 273, 1984, 790, 916, 540, 5982, 780, 3383, 875, 1281, 602, 6460, 547, 1984, 529, 773, 591, 1206, 286, 1109, 1411, 2979, 627, 714, 2010, 666, 4137, 621, 856, 1934, 609, 891, 7503, 2188, 1384, 1892, 476, 272, 1121, 815, 476, 1015, 268, 273, 20146, 3200, 630, 306, 341, 994, 1892, 476, 272, 1984, 790, 332, 630, 332, 8145, 264, 815, 476, 1015, 268, 276, 20146, 3200, 630, 306, 341, 994, 1892, 476, 272, 1984, 529, 773, 3200, 630, 332, 306, 341, 264, 815, 476, 1015, 268, 274, 20146, 3200, 630, 306, 341, 994, 1892, 476, 272, 1984, 529, 773, 3200, 630, 332, 306, 341, 264, 815, 476, 271, 269, 272, 1121, 692, 2414, 948, 1866, 267, 476, 272, 1984, 529, 773, 591, 1206, 11224, 476, 1911, 1984, 790, 916, 269, 1109, 1656, 476, 272, 27119, 3200, 11224, 476, 1911, 271, 1984, 529, 773, 591, 1206, 269, 1109, 1677, 2285, 596, 606, 2856, 540, 1018, 519, 1297, 1657, 1797, 538, 1984, 529, 773, 591, 1206, 630, 332, 306, 341, 1070, 649, 3335, 10110, 476, 277, 269, 273, 544, 306, 341, 829, 1032, 538, 519, 2475, 780, 3086, 602, 1297, 814, 930, 2796, 543, 596, 666, 9305, 621, 547, 519, 8594, 13890, 1657, 780, 2026, 547, 519, 1198, 269, 1741, 3371, 779, 513, 1434, 3349, 24152, 519, 2360, 540, 1114, 2157, 540, 10338, 1384, 1892, 476, 271, 1700, 271, 269, 1839, 590, 341, 281, 7183, 454, 1892, 476, 271, 269, 1839, 1700, 272, 590, 341, 281, 2368, 1004, 1745, 15353, 543, 2530, 540, 14031, 282, 5642, 20768, 267, 9726, 9136, 267, 838, 22220, 8697, 563, 1892, 476, 272, 1700, 274, 590, 341, 281, 631, 843, 547, 4049, 15353, 267, 2530, 540, 14031, 267, 3968, 282, 811, 4049, 5642, 20768, 267, 9726, 6843, 267, 838, 22220, 3441, 282, 6051, 21483, 267, 711, 21407, 563, 1892, 476, 274, 1700, 277, 590, 341, 281, 27275, 15353, 267, 2530, 540, 14031, 282, 20178, 1645, 267, 3968, 267, 13165, 267, 2960, 890, 1564, 267, 10322, 1006, 282, 2669, 952, 15860, 563, 1892, 476, 277, 1700, 1015, 590, 341, 281, 26361, 2589, 7132, 3844, 8401, 1062, 15717, 282, 2669, 4397, 563, 1892, 26361, 476, 1015, 590, 341, 281, 769, 5115, 659, 2787, 543, 2669, 780, 3383, 2016, 519, 1344, 1657, 267, 476, 274, 3108, 693, 476, 6110, 544, 306, 341, 568, 6697, 547, 476, 272, 269, 273, 590, 341, 269, 6892, 898, 779, 9156, 762, 855, 609, 3441, 780, 2026, 585, 4598, 3544, 519, 2030, 1107, 519, 2157, 540, 5982, 6749, 25921, 2476, 689, 519, 2030, 269, 1741, 1924, 1346, 538, 519, 1034, 8594, 267, 15069, 267, 616, 1346, 1369, 519, 2030, 3843, 547, 2270, 519, 1966, 269, 1109, 18614, 2161, 602, 1034, 540, 519, 2030, 4600, 723, 1044, 17355, 18050, 543, 827, 476, 2004, 3136, 547, 6370, 519, 2042, 538, 519, 26119, 269, 1109, 7316, 519, 1966, 585, 519, 1857, 949, 2049, 568, 952, 972, 568, 513, 5305, 540, 14599, 12269, 540, 9252, 267, 610, 998, 30762, 602, 30275, 1570, 630, 20459, 18660, 10514, 1040, 1109, 1656, 6923, 1454, 540, 519, 1764, 1131, 581, 5462, 676, 2842, 4287, 269, 1741, 1403, 621, 568, 25738, 2047, 7532, 936, 519, 5836, 267, 519, 6531, 1131, 798, 1454, 1447, 2800, 982, 952, 621, 6926, 342, 7178, 936, 1109, 20651, 2127, 540, 3567, 269, 1109, 3958, 267, 519, 2326, 1198, 1131, 26632, 622, 607, 519, 6531, 9450, 543, 14612, 269, 1109, 634, 7872, 540, 1022, 1713, 2179, 540, 5982, 8757, 519, 2475, 267, 585, 3236, 267, 568, 711, 3226, 1164, 780, 7661, 267, 713, 2376, 676, 519, 12924, 307, 568, 2965, 513, 1434, 835, 585, 4282, 827, 519, 2042, 519, 5545, 3068, 543, 519, 2009, 4093, 269, 1741, 1280, 2899, 267, 789, 3801, 547, 1832, 519, 8989, 1447, 2283, 1049, 543, 811, 5059, 593, 11341, 5013, 780, 349, 18250, 304, 692, 258, 17325, 725, 281, 634, 1627, 663, 302, 23093, 4751, 585, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30787, 4016, 547, 1312, 10923, 4087, 1369, 513, 2239, 543, 942, 1974, 269, 1879, 17411, 3927, 267, 4259, 2306, 513, 1747, 2097, 9800, 269, 898, 13865, 3278, 519, 4729, 267, 2488, 513, 20457, 547, 519, 2962, 267, 543, 513, 7099, 563, 23220, 696, 281, 1234, 574, 2602, 595, 785, 699, 12848, 2921, 1747, 538, 476, 1001, 280, 269, 9796, 3007, 547, 10503, 519, 4259, 865, 519, 5467, 4991, 513, 2631, 540, 1018, 779, 1114, 827, 707, 4528, 540, 519, 1650, 269, 7316, 1281, 1352, 2661, 286, 1548, 779, 1200, 1909, 1369, 519, 7622, 286, 1772, 1352, 5219, 547, 607, 968, 290, 785, 699, 12848, 2223, 610, 1945, 811, 2413, 286, 1548, 1281, 1352, 5957, 547, 519, 3440, 267, 543, 945, 568, 519, 19036, 779, 476, 1001, 280, 6697, 888, 23220, 696, 2813, 585, 596, 676, 912, 12663, 578, 700, 3437, 599, 9741, 454, 12663, 578, 568, 513, 8225, 5856, 543, 10564, 1759, 538, 27292, 269, 2701, 568, 4867, 2324, 593, 519, 1101, 8908, 540, 513, 23019, 5708, 12377, 267, 519, 2034, 8908, 540, 513, 5339, 5708, 12377, 267, 543, 513, 19625, 540, 3860, 267, 1603, 5829, 3785, 269, 4173, 6965, 814, 7902, 538, 634, 18243, 327, 748, 773, 5623, 269, 3399, 513, 6643, 609, 1200, 593, 3860, 1184, 693, 7711, 15884, 25717, 3437, 599, 610, 2161, 32597, 693, 8940, 9884, 650, 25717, 3437, 599, 2593, 0, 1103, 2221, 779, 3728, 19550, 1158, 267, 1004, 1927, 609, 2566, 593, 513, 3232, 4493, 269, 9737, 519, 12503, 540, 960, 543, 1920, 267, 1272, 1223, 1831, 3833, 11566, 269, 10076, 543, 2168, 7569, 1223, 4734, 596, 4743, 11207, 25356, 1739, 519, 1554, 269, 1306, 513, 1267, 267, 5329, 707, 8516, 1271, 540, 782, 519, 17613, 540, 3232, 1272, 949, 711, 581, 513, 519, 3804, 563, 6624, 2043, 3274, 1491, 8516, 585, 11292, 269, 1358, 723, 1100, 7287, 610, 4566, 1599, 693, 8497, 1434, 1072, 269, 11524, 917, 789, 1058, 3635, 5781, 267, 2943, 789, 4043, 547, 7903, 8516, 11735, 11014, 269, 1358, 723, 1434, 15752, 540, 7683, 547, 621, 14693, 267, 2436, 789, 723, 811, 960, 269, 8616, 267, 607, 2395, 543, 4374, 1780, 676, 267, 8516, 5170, 547, 581, 16618, 543, 2451, 856, 540, 741, 3232, 16131, 563, 27735, 540, 24524, 454, 16498, 543, 2790, 8516, 1058, 581, 606, 1271, 1445, 540, 1175, 2713, 269, 1411, 1118, 942, 547, 4497, 538, 6296, 2238, 1142, 1554, 267, 971, 607, 4189, 543, 28876, 269, 4208, 267, 1287, 267, 616, 3635, 543, 8516, 2356, 20495, 286, 24524, 568, 267, 1310, 782, 267, 4105, 547, 707, 2489, 1134, 5630, 543, 2298, 540, 1272, 563, 2467, 616, 1082, 2640, 1373, 6508, 689, 5329, 8516, 1271, 609, 707, 4948, 1142, 1554, 269, 1548, 616, 930, 540, 1346, 3435, 888, 334, 293, 5893, 8952, 596, 3168, 543, 4743, 2635, 563, 334, 293, 5893, 11226, 538, 19011, 1154, 4965, 543, 6971, 8833, 563, 334, 19894, 3635, 2337, 547, 2061, 1978, 3823, 2860, 267, 1519, 3935, 2860, 543, 6089, 2860, 563, 334, 2304, 3742, 267, 3514, 6197, 666, 1711, 20501, 3206, 543, 1732, 5834, 563, 334, 28885, 8516, 883, 707, 6197, 666, 1832, 707, 1970, 1973, 2604, 693, 2635, 2157, 563, 334, 1805, 11691, 3514, 666, 2569, 543, 3006, 9004, 519, 4220, 540, 2295, 2042, 563, 334, 293, 5893, 666, 3500, 936, 519, 10172, 1184, 563, 2691, 606, 1367, 9308, 3742, 543, 3514, 267, 707, 10307, 786, 960, 811, 10416, 269, 1411, 786, 581, 1732, 2111, 547, 20758, 1055, 8377, 2059, 609, 519, 1072, 2798, 602, 6565, 689, 8377, 269, 23426, 786, 1831, 535, 597, 1067, 267, 6793, 267, 10709, 518, 267, 543, 811, 8465, 269, 1411, 3580, 5469, 606, 1646, 540, 707, 1648, 1377, 267, 1932, 269, 1306, 596, 1831, 811, 17615, 267, 7829, 782, 519, 824, 4247, 543, 21500, 602, 8451, 1256, 1169, 1554, 1058, 1831, 4443, 563, 29590, 949, 2942, 1764, 593, 519, 1072, 540, 707, 1560, 543, 2247, 269, 13262, 666, 2014, 4965, 269, 898, 666, 14020, 519, 4761, 1062, 543, 3361, 4576, 610, 2068, 269, 1306, 829, 519, 25350, 18669, 7690, 267, 968, 1492, 1614, 2127, 602, 616, 1034, 2629, 538, 7863, 543, 29103, 1359, 519, 4761, 1062, 616, 2732, 543, 6484, 267, 3635, 267, 543, 2566, 11527, 1081, 9950, 1597, 811, 865, 982, 6484, 267, 3635, 786, 2149, 3927, 3986, 519, 4761, 3210, 269, 11644, 666, 849, 2087, 707, 2790, 9716, 3034, 19522, 538, 4946, 11644, 883, 28064, 5020, 454, 2791, 3100, 547, 581, 593, 519, 979, 689, 607, 4166, 607, 596, 1205, 909, 2394, 596, 2887, 883, 5127, 998, 519, 269, 1411, 2220, 792, 602, 972, 4625, 1100, 1505, 585, 596, 547, 25837, 3635, 883, 707, 1378, 1272, 563, 2252, 513, 1268, 616, 602, 596, 17216, 3112, 1265, 942, 547, 979, 883, 513, 1483, 15904, 267, 1491, 1169, 4316, 2429, 942, 547, 1847, 827, 269, 1684, 930, 21018, 693, 519, 5604, 269, 6875, 519, 24383, 3079, 593, 519, 30981, 269, 12532, 547, 1153, 610, 1599, 269, 12532, 1282, 707, 12899, 5662, 543, 1970, 9397, 563, 16605, 538, 2247, 267, 849, 267, 602, 596, 666, 581, 3742, 9001, 2828, 543, 1920, 693, 707, 2395, 15534, 269, 5502, 540, 8384, 7641, 610, 2228, 3381, 3381, 3756, 782, 1554, 267, 6108, 2298, 942, 1927, 4947, 883, 971, 2238, 607, 5026, 267, 10977, 267, 19482, 267, 610, 15203, 269, 5620, 519, 3214, 948, 596, 713, 12202, 269, 3619, 15472, 2059, 609, 23947, 269, 1703, 616, 3875, 540, 2081, 17640, 547, 1373, 3742, 269, 634, 3903, 568, 16523, 547, 1205, 2469, 563, 23114, 26519, 9324, 1047, 21388, 1443, 2478, 267, 968, 13014, 621, 2832, 547, 1305, 606, 1383, 585, 707, 1920, 267, 543, 581, 513, 1909, 2203, 585, 3283, 3214, 610, 6148, 707, 2828, 269, 13760, 1004, 29954, 790, 909, 596, 666, 581, 606, 5140, 1259, 513, 14326, 24850, 1932, 3034, 1692, 547, 1832, 2657, 543, 24524, 12830, 609, 513, 17173, 21480, 454, 3086, 799, 596, 8275, 519, 1871, 540, 1072, 543, 8516, 267, 621, 568, 942, 547, 1331, 873, 538, 707, 11112, 2053, 563, 9359, 1524, 602, 4155, 547, 1434, 2324, 856, 676, 2870, 513, 8516, 1544, 269, 1403, 596, 991, 948, 267, 798, 513, 2370, 1382, 269, 1411, 3489, 2093, 593, 2870, 707, 1544, 998, 513, 18019, 2228, 2707, 610, 676, 6340, 547, 707, 10629, 610, 513, 8516, 4274, 563, 13729, 11735, 513, 1978, 942, 593, 31014, 513, 3232, 4493, 547, 1902, 538, 3635, 269, 10705, 267, 3478, 909, 4505, 543, 7231, 856, 1360, 1101, 3364, 538, 519, 6640, 568, 1034, 2500, 269, 2991, 782, 267, 596, 1058, 581, 1134, 3146, 23264, 5827, 547, 1685, 1739, 513, 1434, 3781, 779, 3207, 269, 14755, 267, 4358, 689, 519, 1554, 2348, 513, 15904, 666, 2965, 1118, 1589, 811, 17615, 267, 811, 23904, 267, 543, 811, 11327, 2429, 519, 1554, 269, 1403, 267, 2705, 267, 6640, 3635, 7886, 786, 711, 960, 585, 1250, 2754, 596, 267, 8430, 1346, 23736, 3177, 942, 602, 568, 10375, 269, 0, 11754, 7675, 7981, 12409, 20126, 543, 26225, 538, 519, 15099, 281, 8535, 630, 11754, 7675, 590, 21715, 538, 519, 15099, 994, 21581, 11251, 7981, 4065, 15147, 14594, 7151, 543, 18601, 513, 1268, 676, 2012, 538, 3733, 3573, 1995, 538, 2027, 2069, 543, 6437, 269, 23467, 1041, 6435, 16847, 269, 3872, 2534, 568, 3810, 15747, 538, 5466, 891, 4145, 269, 595, 7838, 30278, 8085, 9331, 281, 18997, 513, 9501, 4488, 24361, 17252, 3633, 306, 269, 1548, 5686, 540, 2027, 3872, 2115, 1281, 634, 5234, 2319, 616, 4810, 538, 5466, 519, 2115, 540, 4804, 9659, 2319, 595, 4456, 9391, 8535, 269, 25417, 4841, 609, 7981, 20126, 15099, 22352, 267, 5437, 476, 1960, 274, 267, 5466, 1053, 609, 2027, 2115, 543, 563, 8702, 547, 519, 15099, 616, 1655, 2111, 547, 15378, 741, 3872, 2115, 269, 519, 1367, 2115, 2203, 538, 2027, 2069, 568, 2938, 607, 269, 20648, 4065, 29621, 8889, 13832, 269, 3609, 1907, 5466, 519, 2115, 540, 2185, 2516, 540, 585, 32167, 2812, 609, 7981, 12409, 10261, 269, 3414, 513, 7981, 12409, 20126, 8889, 4857, 9659, 543, 528, 2027, 2115, 2027, 2069, 883, 741, 6437, 269, 769, 519, 269, 1280, 513, 4528, 540, 938, 3381, 1510, 2575, 5225, 4945, 1934, 269, 10312, 593, 590, 21715, 5466, 873, 543, 2027, 3872, 2115, 543, 9659, 568, 1434, 269, 25734, 538, 519, 3119, 1153, 2433, 5009, 1434, 2259, 9659, 543, 2027, 3872, 2115, 609, 1434, 2259, 2066, 519, 6437, 269, 18601, 7981, 12409, 20126, 543, 18601, 590, 21715, 538, 519, 15099, 786, 581, 18601, 7981, 12409, 20126, 543, 26225, 538, 269, 634, 594, 302, 292, 568, 1753, 547, 476, 277, 4081, 13623, 543, 936, 2066, 824, 2127, 540, 519, 6437, 269, 1004, 609, 7981, 12409, 20126, 543, 26225, 563, 14807, 1049, 2115, 543, 9659, 11285, 4879, 543, 1489, 3028, 269, 634, 2027, 3872, 2115, 543, 9659, 11285, 4879, 2027, 269, 18601, 2776, 9080, 823, 13565, 5549, 6342, 26225, 543, 7981, 12409, 20126, 590, 21715, 21561, 1569, 547, 519, 6437, 585, 10453, 609, 513, 9659, 563, 7476, 5131, 26496, 8535, 543, 18903, 281, 3683, 476, 2004, 25529, 619, 256, 630, 11514, 2284, 25905, 281, 25925, 543, 519, 2142, 770, 994, 12606, 5131, 634, 966, 573, 541, 4469, 877, 4211, 565, 4379, 281, 4706, 12791, 3245, 23052, 6504, 6008, 10719, 454, 14457, 281, 10011, 956, 769, 634, 21708, 454, 7476, 5131, 21584, 10426, 5320, 4750, 281, 1323, 4950, 10957, 28013, 630, 763, 5100, 15693, 994, 5649, 6732, 31204, 20405, 13648, 518, 281, 2349, 1678, 1234, 10360, 13648, 1504, 267, 476, 278, 1535, 476, 1015, 267, 476, 1911, 2349, 1678, 1234, 10360, 9664, 0, 289, 578, 543, 15561, 616, 835, 540, 519, 1101, 9604, 2813, 676, 3425, 267, 16310, 884, 1513, 543, 31009, 269, 22702, 547, 824, 9604, 267, 519, 6367, 814, 513, 2362, 1377, 540, 7145, 1317, 621, 666, 581, 1031, 689, 513, 9425, 2922, 3845, 269, 14332, 3587, 513, 14686, 14049, 952, 1031, 7157, 267, 4352, 621, 568, 711, 2731, 6325, 538, 2673, 4323, 269, 634, 1101, 6367, 1570, 568, 1500, 540, 5642, 543, 3574, 267, 7132, 2269, 1186, 267, 6091, 267, 610, 824, 8465, 1570, 602, 568, 3728, 2989, 1063, 519, 1079, 7475, 269, 24942, 543, 3574, 1570, 568, 1031, 607, 519, 1292, 1570, 585, 536, 3298, 543, 21985, 538, 513, 1360, 1279, 942, 267, 2394, 6368, 1336, 824, 2326, 602, 616, 9875, 267, 14402, 543, 811, 8465, 269, 4653, 267, 536, 3298, 543, 21985, 616, 4922, 1031, 607, 3937, 585, 5026, 269, 14332, 1570, 568, 711, 1152, 1500, 540, 3574, 267, 621, 568, 1360, 3309, 267, 971, 607, 4837, 6775, 267, 3327, 267, 610, 11956, 267, 799, 568, 1500, 1360, 1769, 269, 634, 12673, 19951, 849, 1500, 519, 21985, 5488, 543, 6793, 267, 543, 609, 1164, 6111, 269, 3767, 609, 1082, 2326, 540, 12673, 513, 3444, 11312, 5569, 10682, 568, 1100, 3476, 2352, 4305, 563, 4913, 267, 596, 849, 723, 547, 581, 1360, 6297, 1354, 7446, 519, 1655, 1570, 585, 707, 3444, 11312, 267, 1118, 2386, 602, 519, 5569, 5078, 585, 707, 6367, 269, 3962, 1570, 543, 1142, 6367, 814, 2189, 8984, 865, 621, 786, 849, 723, 1114, 2115, 269, 2290, 3364, 602, 596, 991, 547, 798, 1354, 11449, 3444, 11312, 5569, 10682, 568, 547, 1224, 519, 8261, 269, 2353, 519, 1344, 593, 519, 8261, 1433, 540, 707, 3444, 11312, 786, 581, 1271, 538, 1931, 547, 6023, 519, 6367, 5265, 543, 6616, 519, 20487, 540, 707, 14049, 269, 898, 786, 849, 1397, 596, 519, 1697, 1259, 547, 946, 621, 865, 596, 1223, 581, 2386, 621, 786, 2063, 513, 1279, 942, 269, 2290, 3364, 596, 1058, 2760, 7340, 952, 596, 1616, 707, 5569, 547, 2063, 513, 1279, 942, 568, 547, 14589, 519, 5569, 607, 1419, 607, 596, 1223, 269, 0, 2793, 296, 4629, 10292, 267, 2904, 476, 1626, 630, 311, 514, 327, 7699, 264, 4534, 3979, 6608, 1058, 7832, 593, 3609, 15024, 538, 1931, 547, 7520, 1804, 8397, 10073, 540, 1426, 2504, 1949, 602, 616, 14388, 547, 20296, 17613, 267, 3486, 3744, 1767, 593, 13723, 563, 763, 3744, 945, 1558, 538, 715, 23879, 6798, 585, 513, 1079, 6377, 4000, 2916, 5100, 6683, 21895, 6069, 513, 2847, 2086, 540, 4540, 4507, 543, 9086, 547, 5818, 9541, 538, 8105, 1949, 602, 666, 16641, 3665, 4365, 2621, 2066, 519, 11782, 563, 32178, 16189, 836, 267, 519, 3979, 16323, 8693, 7827, 18509, 13541, 693, 519, 6167, 5113, 630, 7419, 7968, 1070, 1767, 602, 519, 1391, 585, 1426, 3354, 1058, 581, 11251, 1369, 2199, 543, 3084, 2916, 3210, 2994, 563, 20442, 991, 547, 1964, 691, 513, 6643, 593, 2916, 3210, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 3451, 454, 303, 12011, 2313, 298, 5206, 912, 289, 684, 3241, 5206, 912, 332, 926, 6614, 320, 5206, 912, 288, 1978, 8470, 568, 547, 581, 7768, 540, 4010, 1614, 2021, 543, 4010, 1079, 2367, 267, 6074, 689, 1535, 2021, 543, 586, 2367, 269, 1215, 1082, 1114, 8440, 666, 581, 4646, 609, 891, 10148, 2496, 263, 272, 264, 1403, 1079, 811, 2021, 941, 2139, 585, 5542, 267, 4010, 476, 6321, 1114, 2516, 540, 1614, 2021, 1223, 581, 5697, 780, 263, 273, 264, 1535, 815, 586, 1341, 476, 272, 692, 9223, 281, 3230, 290, 3867, 274, 13925, 343, 348, 265, 290, 3867, 273, 13925, 344, 13157, 286, 2330, 1924, 649, 991, 519, 2418, 540, 3230, 343, 2330, 543, 3230, 344, 29634, 263, 272, 264, 3230, 290, 3867, 274, 13925, 343, 266, 273, 13157, 6321, 2330, 25341, 972, 568, 1152, 835, 3230, 343, 2330, 547, 14183, 713, 630, 26074, 602, 972, 568, 1152, 835, 1297, 856, 540, 799, 649, 666, 1118, 476, 6321, 1114, 25926, 540, 476, 274, 267, 865, 3230, 343, 266, 273, 2330, 568, 930, 1808, 1297, 799, 3947, 930, 1808, 3230, 343, 2330, 1070, 855, 649, 917, 4986, 827, 3230, 344, 21974, 3502, 6190, 780, 9617, 547, 9414, 875, 547, 1265, 3230, 343, 2330, 281, 3230, 290, 3867, 274, 13925, 343, 266, 273, 13157, 6321, 2330, 25341, 6695, 2765, 18950, 343, 266, 273, 25631, 2410, 263, 343, 266, 273, 268, 274, 25631, 265, 274, 256, 13157, 6321, 2330, 25341, 6695, 2765, 18950, 343, 266, 273, 25631, 2410, 263, 343, 268, 272, 25631, 265, 274, 256, 13157, 6321, 2330, 25341, 6695, 2765, 12757, 3287, 266, 272, 7565, 343, 266, 273, 20972, 274, 256, 13157, 6321, 2330, 25341, 3230, 343, 3287, 266, 272, 7565, 343, 266, 273, 6661, 277, 265, 278, 265, 279, 2330, 25341, 3230, 343, 284, 277, 21974, 24177, 26905, 875, 547, 5173, 5072, 3728, 585, 476, 274, 6113, 4110, 9971, 780, 263, 273, 264, 1535, 815, 586, 1341, 476, 272, 269, 22682, 13385, 780, 263, 272, 11924, 263, 273, 264, 3245, 630, 272, 264, 649, 917, 3230, 343, 18079, 865, 689, 630, 273, 264, 649, 666, 1205, 3230, 344, 21974, 2672, 2310, 780, 12585, 281, 595, 780, 17098, 645, 684, 3241, 10484, 1692, 596, 7229, 519, 1871, 540, 2473, 585, 476, 274, 6113, 4110, 9971, 7790, 1772, 972, 1022, 1449, 585, 3791, 610, 1657, 4110, 9971, 547, 7058, 4191, 540, 519, 5072, 1510, 6061, 3830, 7790, 630, 15371, 9971, 814, 476, 271, 835, 540, 519, 3597, 610, 562, 1297, 540, 2942, 610, 2318, 5072, 25589, 12552, 780, 296, 1705, 711, 4194, 269, 476, 28656, 568, 519, 1587, 540, 1614, 15654, 2318, 9981, 267, 1287, 594, 13264, 476, 28656, 883, 476, 277, 265, 278, 265, 279, 1818, 1535, 547, 581, 476, 277, 269, 1306, 594, 5206, 538, 1250, 3070, 596, 1810, 1405, 991, 547, 4194, 267, 596, 1175, 991, 547, 917, 602, 596, 666, 4194, 543, 1205, 1535, 563, 6303, 29390, 17445, 528, 454, 1805, 9850, 281, 15526, 568, 513, 6205, 269, 3807, 3247, 6947, 547, 1866, 563, 16274, 281, 476, 2420, 3057, 476, 1001, 274, 454, 15803, 281, 476, 16020, 454, 19613, 281, 3127, 454, 294, 5183, 281, 476, 274, 269, 7906, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 994, 3725, 281, 29922, 513, 8470, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 4343, 454, 289, 684, 3241, 5206, 912, 296, 1705, 711, 4194, 269, 476, 28656, 568, 519, 1587, 540, 1614, 15654, 2318, 9981, 267, 1287, 594, 13264, 476, 28656, 883, 476, 277, 265, 278, 265, 279, 1818, 1535, 547, 581, 476, 277, 269, 1306, 594, 5206, 538, 1250, 3070, 596, 1810, 1405, 991, 547, 4194, 267, 596, 1175, 991, 547, 917, 602, 596, 666, 4194, 543, 1205, 1535, 780, 1432, 952, 538, 2013, 649, 723, 3830, 585, 799, 972, 616, 476, 273, 610, 811, 1483, 5072, 7790, 1772, 972, 1022, 1259, 547, 1175, 1413, 693, 519, 4191, 540, 14170, 543, 3589, 4191, 540, 519, 5072, 888, 296, 6836, 547, 24440, 856, 1250, 13214, 855, 8959, 547, 1205, 1022, 2626, 780, 12552, 454, 6303, 29390, 303, 12011, 2313, 918, 454, 2411, 9339, 8894, 5978, 6574, 8467, 6013, 538, 4758, 909, 269, 634, 1034, 1978, 1259, 547, 8011, 568, 547, 2119, 1175, 835, 811, 942, 269, 722, 499, 7338, 589, 269, 32525, 454, 10673, 1405, 7340, 547, 2046, 734, 285, 918, 16997, 454, 7069, 15080, 281, 476, 272, 269, 654, 5495, 17162, 281, 950, 547, 946, 286, 1923, 476, 273, 269, 2353, 17918, 7093, 335, 681, 12336, 630, 6124, 994, 31738, 281, 6969, 981, 513, 3018, 4505, 1810, 1405, 7340, 547, 9688, 782, 575, 3901, 2181, 335, 2042, 16887, 585, 834, 338, 27542, 15494, 8487, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 4649, 272, 2004, 454, 3725, 281, 29922, 513, 8470, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 6078, 454, 303, 12011, 2313, 298, 5206, 912, 289, 684, 3241, 5206, 912, 296, 1705, 711, 4194, 269, 476, 28656, 568, 519, 1587, 540, 1614, 15654, 2318, 9981, 267, 1287, 594, 13264, 476, 28656, 883, 476, 277, 265, 278, 265, 279, 1818, 1535, 547, 581, 476, 277, 269, 1306, 594, 5206, 538, 1250, 3070, 596, 1810, 1405, 991, 547, 4194, 267, 596, 1175, 991, 547, 917, 602, 596, 666, 4194, 543, 1205, 1535, 780, 1432, 952, 538, 2013, 649, 723, 3830, 585, 799, 972, 616, 476, 273, 610, 811, 1483, 5072, 7790, 1772, 972, 1022, 1259, 547, 1175, 1413, 693, 519, 4191, 540, 14170, 543, 3589, 4191, 540, 519, 5072, 888, 296, 6836, 547, 24440, 856, 1250, 13214, 855, 8959, 547, 1205, 1022, 2626, 780, 12552, 692, 2791, 1810, 1405, 991, 547, 917, 875, 547, 4194, 476, 274, 6113, 610, 2362, 4110, 4834, 585, 519, 17918, 543, 596, 1810, 1405, 991, 713, 585, 713, 1880, 2243, 2901, 563, 6303, 29390, 3725, 281, 29922, 513, 8470, 5231, 1496, 258, 21529, 316, 476, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 6078, 692, 7883, 547, 2985, 30336, 1109, 272, 1741, 1109, 273, 1109, 5231, 8921, 476, 1109, 314, 476, 2767, 9708, 476, 6540, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 589, 1978, 8470, 568, 547, 581, 7768, 540, 4010, 1614, 2021, 543, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 1923, 2506, 334, 10202, 11247, 3177, 676, 2506, 334, 10202, 3080, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 258, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 814, 513, 2189, 32299, 540, 1931, 1269, 333, 259, 585, 1022, 2318, 8870, 1269, 333, 259, 2496, 8698, 532, 4399, 13992, 346, 313, 4151, 543, 4399, 13992, 346, 304, 4151, 607, 19605, 2516, 267, 594, 723, 606, 2856, 547, 1397, 602, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 814, 513, 2189, 32299, 540, 1931, 1269, 333, 259, 585, 1022, 2318, 8870, 1269, 333, 10608, 1411, 666, 1491, 1269, 320, 14672, 10954, 13992, 346, 313, 4151, 1141, 18159, 320, 19885, 6661, 272, 8961, 543, 713, 3693, 814, 1931, 1269, 333, 16859, 3963, 1131, 971, 606, 3693, 2291, 538, 1022, 32299, 1269, 295, 259, 540, 1931, 1269, 333, 259, 286, 1403, 711, 267, 596, 1223, 2569, 1169, 11347, 267, 543, 1287, 1169, 3693, 1131, 723, 1931, 1447, 982, 1269, 333, 8961, 855, 1141, 568, 519, 27171, 2496, 7042, 1012, 476, 275, 12226, 692, 8340, 782, 2609, 540, 1931, 513, 27708, 540, 1269, 333, 259, 538, 4399, 13992, 1627, 270, 315, 13992, 2098, 259, 630, 7474, 568, 267, 782, 2609, 1269, 326, 259, 971, 602, 1269, 978, 284, 271, 259, 1040, 1703, 616, 4010, 1269, 333, 259, 540, 873, 267, 543, 972, 568, 538, 1249, 693, 2547, 835, 540, 873, 4171, 1931, 568, 4010, 1269, 333, 16859, 17004, 602, 1346, 2609, 616, 538, 1249, 519, 2609, 540, 513, 32299, 780, 7042, 5575, 4399, 13992, 346, 304, 4153, 322, 784, 315, 15927, 6955, 639, 3709, 335, 22174, 315, 303, 328, 4153, 13992, 346, 313, 13925, 335, 17353, 13727, 3686, 8961, 1141, 4399, 303, 328, 259, 568, 519, 1305, 540, 782, 6305, 2338, 269, 3973, 585, 1142, 1269, 335, 259, 6305, 4399, 13992, 346, 313, 13925, 335, 17353, 13727, 22288, 814, 513, 2189, 32299, 540, 1931, 1269, 335, 18898, 259, 585, 1142, 1269, 333, 22174, 315, 13992, 346, 301, 23201, 2311, 2063, 4019, 519, 27284, 14497, 540, 25226, 780, 7042, 4131, 1269, 343, 259, 581, 513, 1483, 1297, 538, 519, 1930, 8884, 18159, 271, 267, 272, 30879, 1403, 1269, 333, 343, 259, 568, 606, 8870, 1269, 330, 259, 585, 930, 2318, 8870, 1269, 333, 8961, 649, 723, 602, 1269, 343, 815, 737, 14672, 10608, 1411, 1294, 602, 1269, 330, 284, 272, 12101, 24126, 19885, 268, 272, 10608, 594, 3513, 4734, 519, 1964, 547, 596, 780, 8894, 295, 332, 267, 1269, 343, 259, 606, 8870, 538, 519, 1930, 8884, 18159, 271, 267, 272, 30879, 1703, 5749, 1405, 1932, 1082, 540, 1346, 269, 1107, 1109, 297, 19913, 331, 1430, 9484, 476, 736, 1412, 1556, 693, 476, 866, 281, 1556, 454, 3369, 5622, 5622, 334, 3591, 269, 1462, 334, 269, 1107, 1109, 294, 5622, 345, 9484, 476, 736, 1412, 1556, 693, 476, 2537, 281, 4905, 692, 2171, 666, 1935, 519, 1966, 1210, 10026, 1297, 3069, 269, 6733, 1101, 693, 519, 32299, 1269, 298, 259, 540, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 6383, 676, 630, 1492, 30424, 1362, 540, 264, 1269, 336, 29265, 8961, 1141, 1269, 336, 259, 543, 1269, 337, 259, 616, 5266, 6305, 780, 7712, 1269, 336, 259, 543, 1269, 337, 259, 616, 5266, 6305, 267, 972, 2291, 9981, 1269, 343, 259, 543, 1269, 344, 259, 971, 602, 1269, 336, 343, 266, 787, 284, 272, 10608, 19147, 1312, 5011, 676, 1269, 337, 10608, 1284, 1265, 602, 3230, 343, 21702, 346, 336, 2410, 337, 15396, 344, 7807, 2765, 346, 272, 2410, 337, 20467, 2330, 4595, 1269, 344, 259, 568, 606, 8870, 267, 621, 5205, 602, 4399, 2765, 346, 272, 2410, 337, 4151, 568, 21412, 267, 1110, 25222, 1269, 272, 8961, 547, 1269, 343, 21702, 346, 336, 2410, 337, 23201, 898, 5205, 602, 630, 1492, 30424, 1362, 540, 264, 1269, 272, 29265, 259, 568, 538, 1269, 298, 8961, 543, 4061, 12958, 1269, 298, 16859, 3086, 1577, 1269, 295, 259, 581, 513, 32299, 540, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 540, 1931, 1269, 333, 10608, 2913, 1269, 327, 259, 581, 606, 3693, 540, 1269, 295, 10608, 1403, 1269, 327, 259, 12958, 1269, 295, 8961, 649, 616, 8737, 269, 19227, 267, 1269, 327, 259, 12958, 513, 1697, 32299, 540, 1269, 295, 10608, 1635, 519, 1267, 1657, 267, 649, 666, 8263, 602, 1269, 327, 259, 568, 630, 1492, 30424, 1362, 540, 264, 930, 1269, 272, 29265, 318, 272, 8961, 543, 602, 972, 568, 930, 1269, 272, 11486, 259, 538, 1269, 295, 259, 971, 602, 1269, 321, 259, 1281, 711, 7941, 1269, 337, 318, 272, 10608, 2913, 1269, 323, 7807, 326, 7251, 16868, 318, 272, 14720, 7751, 780, 2467, 616, 9981, 1269, 343, 259, 543, 1269, 344, 259, 971, 602, 1269, 337, 318, 272, 343, 266, 2421, 284, 323, 10608, 19147, 998, 676, 1269, 337, 318, 272, 321, 10608, 1284, 1265, 602, 3230, 343, 21702, 346, 272, 2410, 321, 15396, 344, 21702, 346, 272, 2410, 337, 318, 272, 18098, 2765, 18097, 2410, 337, 318, 272, 321, 20467, 2330, 898, 5205, 602, 630, 1492, 30424, 1362, 540, 264, 1269, 323, 14370, 337, 318, 272, 321, 7751, 568, 538, 1269, 295, 10608, 1809, 1269, 337, 318, 272, 321, 7933, 259, 568, 519, 2547, 1455, 2789, 540, 1269, 337, 318, 272, 259, 543, 1269, 321, 10608, 11910, 713, 2547, 1455, 2789, 1269, 337, 318, 273, 10608, 3973, 2094, 1269, 337, 318, 272, 259, 543, 1269, 321, 259, 1312, 7941, 1269, 337, 318, 273, 8961, 519, 32299, 540, 1269, 295, 259, 6383, 676, 630, 1492, 30424, 1362, 540, 264, 1269, 272, 29265, 318, 273, 259, 3568, 1312, 1269, 272, 29265, 318, 272, 259, 543, 1269, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 645, 4157, 527, 7754, 329, 836, 476, 1001, 271, 623, 272, 1627, 274, 320, 8298, 15162, 332, 7726, 8827, 630, 288, 13174, 1109, 307, 340, 819, 2020, 9223, 912, 24169, 519, 1739, 3830, 1384, 5416, 264, 1269, 276, 3867, 273, 343, 18511, 278, 28682, 268, 3374, 263, 276, 3867, 273, 343, 348, 11924, 3607, 263, 278, 28682, 6661, 271, 6911, 11405, 1384, 27572, 4097, 263, 276, 3867, 273, 343, 348, 11924, 3374, 263, 278, 28682, 6661, 271, 6911, 259, 3374, 263, 278, 28682, 6661, 4097, 263, 276, 3867, 273, 343, 16585, 6911, 299, 333, 1312, 5011, 267, 649, 1205, 692, 7445, 15238, 476, 3374, 1341, 1535, 315, 15238, 476, 278, 7807, 15238, 476, 4097, 266, 273, 343, 315, 15238, 476, 276, 6911, 7445, 15238, 476, 3374, 10559, 15238, 476, 4097, 24210, 263, 273, 315, 15238, 476, 276, 10559, 15238, 476, 278, 22491, 7445, 6234, 1422, 7901, 539, 12757, 7807, 2765, 3189, 15238, 476, 3374, 10559, 15238, 476, 4097, 2410, 273, 315, 15238, 476, 276, 10559, 15238, 476, 278, 13157, 271, 269, 28873, 279, 10592, 1012, 8191, 281, 2979, 14654, 819, 6434, 692, 10059, 2517, 4118, 14654, 819, 6434, 2593, 270, 692, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 427, 375, 379, 19630, 1944, 2040, 9819, 540, 513, 1804, 17877, 5044, 692, 258, 19630, 1944, 2040, 9819, 540, 513, 1804, 17877, 5044, 692, 1012, 17877, 281, 13437, 26659, 11644, 268, 272, 609, 8827, 692, 2237, 513, 17877, 1982, 602, 5932, 513, 1804, 476, 272, 291, 5044, 543, 2328, 513, 1599, 547, 5173, 519, 2040, 540, 922, 2609, 1210, 513, 585, 8520, 269, 3973, 267, 11126, 621, 1210, 17877, 781, 3710, 2987, 3252, 780, 25456, 8827, 1384, 23911, 8943, 1384, 18606, 5814, 11885, 607, 5286, 454, 258, 8073, 513, 1804, 476, 272, 291, 5044, 609, 476, 272, 2929, 2609, 454, 26171, 24512, 815, 5286, 20179, 20120, 263, 272, 318, 1822, 318, 1822, 2020, 258, 9577, 547, 5173, 519, 2040, 1210, 513, 585, 8520, 454, 3698, 2040, 318, 6748, 318, 31467, 263, 6783, 2187, 20135, 815, 476, 271, 269, 271, 454, 1721, 3693, 538, 5044, 912, 20135, 6834, 3693, 692, 258, 12433, 519, 2040, 1210, 519, 585, 8520, 454, 8999, 318, 31467, 815, 2040, 318, 6748, 318, 31467, 10857, 1618, 24512, 994, 2745, 2891, 11764, 1210, 585, 8520, 24333, 2040, 318, 31467, 2020, 258, 8838, 4476, 519, 2040, 9819, 1210, 17877, 781, 3710, 2987, 1599, 454, 8999, 5332, 17056, 815, 5286, 27904, 10857, 1618, 24512, 994, 2745, 2891, 11764, 1210, 17877, 781, 3710, 2987, 1599, 24333, 2040, 5332, 17056, 994, 32526, 20479, 1384, 3499, 11764, 1210, 585, 8520, 281, 476, 4335, 20969, 269, 276, 3451, 14444, 4198, 272, 454, 11764, 1210, 17877, 781, 3710, 2987, 1599, 281, 476, 4335, 20969, 269, 276, 3451, 14444, 14225, 276, 454, 7884, 15008, 1384, 1892, 8073, 513, 1804, 476, 272, 291, 5044, 281, 589, 476, 272, 291, 5044, 609, 476, 272, 2929, 2609, 568, 2813, 1210, 5286, 20179, 20120, 263, 1916, 1892, 9577, 609, 585, 8520, 281, 589, 1599, 2040, 318, 6748, 318, 31467, 21410, 519, 2040, 540, 519, 5044, 2609, 1210, 513, 585, 8520, 563, 1892, 12433, 2040, 609, 585, 8520, 281, 634, 2040, 540, 519, 5044, 2609, 568, 7229, 1210, 519, 585, 8520, 543, 9102, 563, 1892, 8838, 4476, 609, 17877, 281, 634, 2040, 9819, 568, 20979, 1210, 17877, 781, 3710, 2987, 5286, 27904, 3890, 1599, 543, 9102, 780, 23911, 9539, 17056, 8943, 15503, 1384, 5970, 1776, 1259, 547, 4194, 713, 3070, 286, 19928, 1393, 707, 3009, 630, 663, 8292, 264, 998, 2598, 638, 338, 780, 1432, 568, 519, 7411, 1377, 540, 713, 3635, 2496, 14818, 707, 14691, 1983, 609, 530, 274, 637, 1830, 781, 7688, 780, 427, 375, 379, 0, 258, 20554, 543, 20389, 18248, 692, 305, 26559, 2055, 593, 519, 20554, 543, 20389, 1419, 2014, 11784, 1851, 1449, 512, 5474, 269, 1411, 917, 519, 3283, 269, 1358, 2307, 875, 1454, 24036, 568, 2877, 538, 513, 3677, 11600, 610, 875, 1082, 5835, 19273, 1590, 581, 3773, 547, 11891, 538, 1931, 547, 4794, 1518, 1978, 17114, 269, 1809, 972, 568, 1100, 991, 547, 4250, 891, 5223, 2055, 734, 28236, 616, 3833, 2596, 543, 666, 581, 12193, 538, 7643, 952, 596, 917, 930, 5295, 30360, 15361, 780, 3080, 1826, 540, 5223, 2243, 899, 713, 3340, 596, 547, 1265, 513, 2009, 2698, 1297, 540, 3688, 2016, 513, 5223, 540, 2694, 1384, 2791, 666, 4194, 713, 2243, 538, 1614, 7643, 267, 1510, 16116, 909, 707, 9498, 256, 634, 2626, 585, 891, 2055, 1590, 2141, 581, 513, 2789, 540, 519, 2040, 540, 519, 5223, 1384, 19669, 2433, 9466, 454, 274, 13725, 2433, 3396, 476, 279, 1741, 476, 7673, 6519, 1341, 9466, 815, 5681, 1741, 9890, 1741, 476, 274, 1341, 476, 279, 815, 476, 1556, 692, 763, 1152, 2789, 540, 476, 1556, 568, 476, 4510, 267, 2626, 3903, 630, 292, 6393, 11039, 267, 602, 729, 2653, 256, 1677, 1294, 1946, 713, 568, 3020, 267, 2132, 547, 519, 27847, 6041, 1384, 19669, 2433, 9466, 454, 274, 13725, 2433, 3396, 476, 279, 1741, 476, 7673, 6519, 1341, 9466, 815, 5681, 1741, 9890, 1741, 476, 274, 1341, 476, 279, 815, 476, 1556, 692, 274, 270, 1556, 3396, 1109, 476, 279, 270, 1556, 7673, 1109, 476, 274, 270, 1556, 540, 519, 26852, 616, 3043, 267, 476, 279, 270, 1556, 540, 519, 26852, 616, 6960, 692, 2252, 519, 2698, 1297, 540, 26852, 568, 476, 4510, 267, 519, 1297, 540, 3043, 543, 6960, 26852, 568, 513, 2898, 1297, 1384, 13707, 1297, 540, 3043, 26852, 815, 476, 274, 270, 1556, 540, 476, 4510, 1741, 10758, 1741, 476, 274, 270, 1556, 1535, 476, 4510, 815, 476, 1321, 3043, 26852, 692, 13707, 1297, 540, 6960, 26852, 815, 476, 279, 270, 1556, 540, 476, 4510, 1741, 10758, 1741, 476, 279, 270, 1556, 1535, 476, 4510, 815, 476, 3953, 3043, 26852, 692, 3719, 952, 519, 2698, 1297, 540, 26852, 568, 711, 513, 2789, 540, 476, 1556, 267, 1287, 519, 1297, 540, 3043, 543, 6960, 26852, 568, 711, 606, 2898, 1297, 269, 17166, 519, 1297, 540, 26852, 568, 476, 2412, 1384, 13707, 1297, 540, 3043, 26852, 815, 476, 274, 270, 1556, 540, 476, 2412, 5231, 10758, 1741, 476, 274, 270, 1556, 1535, 476, 2412, 815, 476, 1015, 269, 280, 3043, 26852, 692, 13707, 1297, 540, 6960, 26852, 815, 476, 279, 270, 1556, 540, 476, 2412, 1741, 10758, 1741, 476, 279, 270, 1556, 1535, 476, 2412, 815, 476, 3066, 269, 272, 3043, 26852, 692, 2791, 3112, 723, 476, 1015, 269, 280, 3043, 26852, 256, 634, 2626, 1590, 581, 513, 2898, 1297, 780, 4322, 2010, 540, 5223, 2055, 786, 2141, 946, 3688, 602, 666, 1406, 581, 5258, 267, 971, 607, 26852, 267, 27371, 267, 610, 1004, 269, 27294, 602, 666, 581, 5258, 267, 971, 607, 4006, 267, 6177, 6079, 267, 610, 13897, 267, 786, 581, 1031, 538, 824, 2010, 540, 5223, 2055, 780, 2252, 596, 991, 811, 948, 609, 12753, 610, 1616, 547, 1294, 1018, 824, 942, 22766, 31930, 2291, 593, 519, 20554, 4569, 3296, 267, 2638, 856, 938, 20554, 6030, 543, 2533, 780, 20124, 281, 3733, 590, 1442, 8571, 518, 267, 21806, 540, 6004, 11053, 514, 17584, 0, 258, 27387, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 272, 269, 12361, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 302, 330, 865, 1775, 723, 519, 3830, 586, 262, 284, 344, 317, 273, 12169, 268, 274, 7565, 344, 268, 276, 8203, 274, 692, 296, 1336, 519, 11466, 7158, 547, 581, 586, 284, 271, 267, 586, 284, 274, 267, 586, 284, 276, 780, 9989, 1250, 5123, 6516, 1413, 1318, 543, 1131, 581, 2953, 538, 6031, 519, 3435, 616, 9136, 2496, 763, 2063, 851, 12134, 14674, 519, 1279, 2165, 2623, 540, 519, 3070, 547, 519, 1657, 1019, 22460, 3830, 5976, 3355, 2783, 586, 263, 271, 264, 815, 476, 275, 780, 296, 6415, 711, 2386, 875, 547, 1205, 3323, 609, 713, 780, 1372, 548, 1540, 692, 274, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 5719, 548, 1540, 1946, 26042, 275, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 20357, 594, 7012, 1405, 8746, 621, 729, 2953, 269, 898, 781, 1250, 16253, 602, 781, 25216, 267, 711, 707, 2243, 780, 276, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 296, 9364, 4440, 1376, 676, 6061, 519, 16692, 269, 898, 781, 3021, 762, 13718, 277, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 23192, 17397, 676, 575, 18602, 12010, 454, 302, 330, 865, 1775, 723, 519, 3830, 586, 262, 284, 344, 317, 273, 12169, 268, 274, 7565, 344, 268, 276, 8203, 274, 692, 296, 1336, 519, 11466, 7158, 547, 581, 586, 284, 271, 267, 586, 284, 274, 267, 586, 284, 276, 780, 9989, 1250, 5123, 6516, 1413, 1318, 543, 1131, 581, 2953, 538, 6031, 519, 3435, 616, 9136, 2496, 763, 2063, 851, 12134, 14674, 519, 1279, 2165, 2623, 540, 519, 3070, 547, 519, 1657, 1019, 22460, 3830, 5976, 3355, 2783, 586, 263, 271, 264, 815, 476, 275, 780, 296, 6415, 711, 2386, 875, 547, 1205, 3323, 609, 713, 563, 7712, 596, 2811, 711, 3478, 513, 9522, 540, 4267, 594, 3513, 2328, 1018, 1250, 3206, 729, 780, 5575, 1055, 4729, 586, 262, 607, 513, 1599, 540, 586, 692, 3086, 1413, 693, 519, 19335, 2798, 476, 271, 267, 476, 274, 267, 543, 476, 276, 780, 4263, 586, 284, 271, 513, 1507, 32751, 542, 547, 519, 2451, 5012, 547, 513, 2318, 6991, 799, 5012, 1394, 547, 476, 271, 563, 288, 1507, 32751, 542, 547, 519, 1318, 849, 5012, 547, 2318, 6991, 799, 2417, 23131, 2476, 689, 476, 271, 780, 13295, 476, 271, 568, 606, 18633, 11466, 1448, 780, 4263, 586, 284, 274, 513, 1507, 32751, 542, 547, 519, 2451, 5012, 547, 2318, 6991, 543, 1394, 547, 476, 274, 563, 288, 1507, 32751, 542, 547, 519, 1318, 5012, 547, 2942, 6991, 543, 1394, 547, 476, 274, 780, 13295, 476, 274, 568, 513, 7123, 11466, 1448, 692, 4263, 476, 276, 596, 666, 1294, 519, 11466, 568, 18633, 780, 763, 5123, 6516, 5654, 899, 692, 2411, 734, 15010, 19203, 271, 9339, 15010, 1366, 274, 955, 283, 955, 268, 276, 1366, 285, 692, 296, 6415, 711, 4010, 2386, 1018, 9136, 1797, 538, 519, 2796, 540, 513, 2582, 1101, 1931, 11186, 3830, 269, 594, 9364, 1589, 782, 519, 11466, 2798, 723, 547, 581, 9136, 780, 2791, 666, 4194, 713, 11186, 3830, 855, 4223, 11490, 320, 7012, 1405, 2111, 547, 2097, 909, 609, 513, 6806, 1106, 3070, 585, 586, 538, 2474, 540, 1535, 269, 1411, 723, 547, 4734, 621, 17697, 1106, 780, 296, 1705, 4194, 621, 6746, 1227, 543, 621, 15225, 519, 2623, 4330, 1657, 267, 1498, 1247, 586, 284, 276, 568, 18633, 621, 781, 513, 7168, 7123, 18633, 267, 519, 6991, 568, 1360, 6366, 538, 713, 1858, 543, 621, 3217, 513, 3787, 540, 513, 562, 19276, 3006, 547, 21199, 621, 1055, 713, 1448, 269, 4495, 586, 4991, 513, 6263, 3787, 1657, 476, 276, 621, 3217, 1055, 1360, 6385, 2509, 20581, 780, 19185, 693, 519, 5123, 6516, 621, 781, 2653, 547, 1294, 602, 693, 586, 314, 271, 24557, 275, 519, 18330, 9843, 547, 543, 3936, 956, 693, 586, 284, 274, 269, 0, 258, 20031, 2747, 692, 1892, 9484, 476, 2767, 628, 476, 1001, 273, 267, 476, 4905, 281, 4649, 6751, 454, 329, 628, 20234, 1240, 454, 7093, 332, 2747, 454, 1692, 1082, 1114, 812, 2914, 2674, 15185, 666, 581, 4646, 693, 513, 7544, 1141, 972, 616, 476, 1321, 2021, 543, 476, 279, 2367, 2496, 272, 269, 476, 1321, 290, 272, 2608, 279, 290, 272, 610, 476, 1321, 303, 272, 2608, 279, 303, 272, 692, 273, 269, 476, 1708, 692, 274, 269, 476, 736, 2608, 476, 279, 692, 275, 269, 7183, 540, 519, 1657, 692, 2171, 1589, 519, 2626, 568, 476, 9834, 269, 1717, 267, 1312, 4267, 538, 1297, 476, 272, 3160, 476, 9834, 269, 1809, 267, 666, 581, 6566, 2747, 543, 4999, 855, 1927, 538, 835, 2626, 888, 1892, 9484, 476, 2767, 628, 476, 1001, 273, 267, 476, 6349, 281, 1724, 6751, 454, 13043, 334, 10048, 454, 3725, 281, 20031, 2747, 454, 12585, 6013, 538, 2596, 10203, 6240, 563, 1892, 9484, 476, 2767, 628, 476, 1001, 273, 267, 476, 6349, 281, 866, 6751, 454, 329, 628, 20234, 1240, 454, 3725, 281, 20031, 2747, 454, 3383, 602, 1131, 581, 476, 1321, 2608, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23908, 10309, 630, 12507, 1046, 8210, 24555, 14037, 267, 966, 753, 15842, 267, 13785, 264, 1210, 519, 30733, 622, 4152, 7014, 630, 277, 1040, 634, 7014, 3769, 513, 1582, 5498, 21124, 3636, 5346, 1974, 1282, 799, 519, 5171, 7895, 4705, 693, 513, 17159, 4908, 1996, 2370, 610, 1100, 4187, 269, 634, 4152, 1974, 2838, 519, 5396, 547, 29465, 1996, 513, 2016, 4187, 267, 7229, 607, 476, 278, 269, 276, 260, 540, 519, 1560, 2597, 540, 519, 1641, 538, 13532, 267, 585, 476, 1789, 7643, 269, 901, 1974, 729, 4553, 676, 513, 3579, 6658, 1974, 602, 16768, 607, 1279, 607, 621, 729, 16363, 2556, 676, 519, 1641, 269, 4860, 30055, 829, 476, 276, 2034, 11996, 941, 18886, 543, 4294, 547, 519, 30733, 622, 4834, 630, 277, 1916, 1805, 31104, 543, 5295, 13281, 454, 1805, 31104, 7403, 941, 12290, 676, 476, 279, 17279, 5021, 338, 630, 279, 305, 300, 264, 585, 1896, 3076, 1206, 267, 1519, 20005, 14541, 2046, 267, 22833, 788, 1225, 331, 267, 28886, 788, 7903, 6658, 267, 1850, 1225, 331, 267, 1850, 10137, 267, 543, 20005, 4737, 269, 1280, 4879, 540, 1379, 267, 5396, 941, 4280, 547, 1685, 7299, 543, 8880, 26357, 267, 609, 4847, 4831, 332, 913, 618, 1354, 1142, 7914, 269, 634, 1655, 540, 476, 274, 26357, 729, 6592, 543, 1031, 585, 1239, 9382, 269, 26432, 7914, 4463, 729, 5462, 607, 519, 3017, 1063, 519, 4463, 540, 856, 560, 4958, 3481, 1688, 693, 1964, 543, 519, 5207, 1448, 519, 1641, 6603, 1282, 519, 7914, 282, 8880, 7914, 3845, 729, 5462, 676, 3355, 13941, 5544, 540, 519, 5396, 262, 24933, 593, 513, 6825, 11746, 2268, 630, 3451, 1916, 10574, 941, 9916, 1210, 590, 31723, 630, 309, 619, 542, 476, 866, 282, 22126, 267, 1488, 3000, 330, 267, 12924, 267, 7330, 1040, 29149, 7194, 267, 1519, 1611, 543, 10323, 941, 7229, 585, 782, 6364, 4632, 269, 4578, 729, 5258, 883, 2516, 1759, 593, 4008, 543, 6171, 667, 4567, 269, 18926, 1379, 630, 333, 815, 476, 2412, 264, 729, 4767, 547, 581, 476, 271, 269, 8064, 267, 543, 729, 7229, 1759, 593, 519, 13429, 602, 2043, 13844, 519, 5227, 2179, 540, 22292, 630, 10013, 264, 4598, 1131, 723, 3328, 16796, 476, 1839, 302, 8461, 9830, 540, 476, 2412, 23356, 6440, 332, 299, 6629, 272, 630, 280, 1040, 23527, 941, 2417, 5258, 1759, 593, 16796, 476, 1839, 302, 8461, 9830, 1657, 630, 14683, 264, 610, 2630, 630, 869, 264, 476, 3374, 23356, 6440, 332, 299, 6629, 272, 267, 799, 568, 2808, 7850, 16796, 476, 1839, 302, 8461, 585, 9308, 3742, 2043, 630, 1015, 1070, 4611, 538, 476, 275, 2516, 281, 968, 14683, 892, 2021, 630, 333, 815, 476, 1015, 1070, 968, 869, 892, 2021, 630, 333, 815, 476, 280, 1070, 968, 14683, 892, 2367, 630, 333, 815, 476, 280, 1070, 543, 968, 869, 2367, 892, 630, 333, 815, 476, 1556, 1040, 1452, 2516, 941, 4646, 1310, 1239, 4015, 267, 607, 5396, 941, 711, 29971, 1759, 593, 476, 1839, 302, 8461, 2157, 1354, 10014, 540, 519, 1353, 269, 589, 476, 272, 17574, 476, 275, 7400, 2079, 540, 13065, 729, 5342, 547, 3313, 1713, 3604, 1851, 891, 2516, 269, 6969, 8579, 4152, 267, 782, 1239, 941, 8947, 585, 4630, 23189, 540, 13065, 282, 519, 15895, 338, 941, 13761, 585, 2343, 1275, 609, 1744, 777, 10098, 8862, 559, 7719, 1449, 269, 17992, 725, 941, 711, 2556, 269, 9906, 781, 512, 2389, 3949, 609, 513, 12844, 2536, 1258, 328, 2789, 6476, 15494, 941, 1031, 2022, 554, 665, 269, 21942, 781, 1900, 3772, 9756, 2079, 729, 1031, 547, 3313, 3347, 1063, 782, 7403, 269, 13038, 9695, 3631, 1210, 28539, 13920, 267, 4008, 267, 7943, 4598, 267, 543, 8192, 6981, 607, 1071, 11398, 619, 941, 849, 7318, 269, 19043, 729, 1305, 693, 533, 18016, 476, 271, 269, 4962, 269, 2353, 2418, 4843, 616, 1611, 13008, 10323, 563, 24791, 667, 21073, 281, 21474, 540, 2271, 820, 543, 5395, 636, 12474, 454, 23562, 4868, 5396, 630, 280, 2021, 267, 476, 1556, 2367, 264, 4843, 609, 476, 1839, 302, 8461, 16796, 2157, 2630, 476, 3374, 23356, 6440, 332, 299, 6629, 272, 267, 799, 568, 2808, 547, 581, 2630, 3339, 538, 1762, 9308, 3742, 2043, 630, 1015, 264, 630, 8368, 476, 273, 1040, 634, 1611, 8192, 6171, 667, 6981, 585, 782, 5171, 729, 1175, 1657, 476, 272, 267, 1822, 594, 308, 829, 3018, 267, 543, 891, 2418, 1705, 711, 30136, 609, 16796, 2157, 630, 8368, 476, 273, 1040, 2271, 820, 729, 3648, 2362, 538, 782, 2367, 982, 538, 782, 2021, 630, 335, 815, 476, 271, 269, 16573, 5148, 2705, 267, 972, 729, 9444, 513, 1713, 3017, 538, 6981, 1063, 519, 968, 14683, 543, 968, 869, 892, 6171, 667, 2516, 630, 335, 815, 476, 271, 269, 11152, 1070, 6862, 729, 972, 513, 2078, 1063, 6171, 667, 6981, 543, 16796, 476, 1839, 302, 8461, 1543, 630, 337, 815, 6567, 271, 269, 1240, 1040, 4014, 519, 5227, 3232, 6981, 540, 6171, 667, 568, 476, 7785, 594, 308, 630, 4029, 1070, 610, 476, 275, 267, 1220, 594, 308, 829, 3018, 267, 1152, 476, 272, 1641, 538, 519, 1353, 1558, 713, 21205, 282, 2705, 267, 16796, 476, 1839, 302, 8461, 538, 713, 1367, 1869, 8593, 2630, 519, 3339, 476, 1839, 302, 8461, 1377, 563, 8794, 519, 5750, 532, 5650, 585, 3141, 4598, 267, 8464, 24132, 689, 476, 1556, 547, 476, 7367, 269, 1280, 4704, 267, 538, 519, 1353, 538, 799, 519, 5619, 6482, 729, 6069, 267, 519, 8464, 24132, 689, 476, 271, 547, 476, 6078, 630, 866, 1040, 901, 5619, 729, 8385, 1031, 609, 4079, 538, 7977, 8391, 4756, 5666, 540, 3141, 4598, 2901, 538, 942, 610, 2960, 7298, 585, 11158, 3346, 267, 855, 5870, 519, 6069, 10421, 585, 6190, 1439, 18100, 2504, 269, 769, 938, 1353, 267, 1346, 5396, 609, 2362, 3141, 4598, 8464, 22157, 547, 6108, 9645, 942, 13964, 267, 2901, 2866, 610, 6972, 593, 13464, 3079, 540, 6117, 269, 8409, 5396, 609, 2539, 8464, 941, 1346, 945, 1185, 6009, 602, 2838, 873, 547, 6108, 1034, 540, 519, 1554, 16280, 267, 609, 1152, 8766, 942, 6170, 13964, 593, 32300, 610, 2110, 23736, 1310, 960, 1282, 519, 10543, 269, 3962, 1641, 729, 4280, 547, 1867, 2436, 610, 711, 646, 610, 1352, 1031, 24429, 593, 513, 3232, 4493, 563, 10303, 1034, 5396, 941, 16543, 543, 1100, 5396, 941, 3979, 31787, 267, 972, 941, 1100, 11941, 1500, 538, 519, 1239, 585, 2960, 3159, 269, 769, 1840, 267, 972, 941, 1100, 1713, 3604, 538, 3141, 4598, 1063, 519, 2367, 543, 2021, 610, 519, 968, 14683, 892, 543, 968, 869, 892, 6171, 667, 2516, 630, 335, 815, 476, 271, 269, 5780, 543, 533, 815, 476, 271, 269, 10037, 267, 6606, 264, 630, 8368, 476, 273, 1040, 1284, 1705, 711, 7747, 1022, 1713, 3347, 1063, 3141, 4598, 543, 1022, 4632, 1369, 938, 1239, 1305, 950, 5258, 676, 4008, 610, 968, 869, 892, 610, 968, 14683, 892, 476, 1839, 302, 8461, 4567, 563, 28694, 23531, 543, 10163, 532, 5450, 20326, 15580, 454, 2467, 729, 513, 1713, 2942, 7678, 1063, 6171, 667, 4567, 543, 19483, 630, 337, 815, 6567, 271, 269, 30444, 267, 533, 815, 476, 271, 269, 30033, 1040, 31035, 689, 519, 4397, 3604, 538, 2600, 1560, 3170, 1063, 25469, 630, 335, 18016, 476, 271, 269, 9826, 1070, 972, 941, 1100, 824, 1713, 3604, 538, 2600, 1560, 3170, 1063, 2516, 630, 8368, 476, 272, 1040, 717, 11367, 941, 9916, 14384, 1317, 540, 519, 27753, 538, 1560, 3170, 1063, 2367, 543, 2021, 630, 3066, 1040, 1703, 941, 9444, 4767, 3466, 538, 1560, 3170, 538, 519, 2949, 1239, 1305, 630, 337, 815, 476, 271, 269, 27886, 267, 533, 815, 476, 271, 269, 11820, 1070, 538, 2021, 630, 337, 815, 476, 271, 269, 21327, 267, 533, 815, 476, 271, 269, 4391, 275, 264, 610, 538, 2367, 630, 337, 815, 6567, 271, 269, 31648, 267, 533, 815, 476, 271, 269, 7277, 1070, 6862, 3466, 538, 519, 10709, 1560, 2527, 630, 337, 815, 476, 271, 269, 5400, 279, 267, 533, 815, 476, 271, 269, 6872, 277, 1916, 2026, 4397, 267, 972, 729, 513, 1713, 3017, 1063, 681, 17307, 538, 2367, 543, 2021, 630, 335, 18016, 476, 271, 269, 9826, 264, 630, 8368, 476, 273, 264, 855, 1100, 1713, 3604, 538, 681, 17307, 1063, 519, 968, 14683, 892, 6171, 667, 1895, 543, 519, 968, 869, 892, 6171, 667, 1895, 630, 335, 815, 476, 271, 269, 11463, 264, 630, 8368, 476, 273, 1040, 1703, 729, 1100, 4767, 2078, 1063, 681, 17307, 543, 476, 1839, 302, 8461, 2949, 630, 337, 815, 476, 271, 269, 27886, 267, 533, 815, 476, 271, 269, 11820, 1070, 538, 8951, 630, 337, 815, 476, 271, 269, 11820, 267, 533, 815, 476, 271, 269, 4792, 277, 1070, 610, 538, 9038, 630, 337, 815, 476, 271, 269, 271, 6078, 267, 533, 815, 476, 271, 269, 279, 8287, 1916, 2467, 729, 513, 19250, 1713, 3017, 538, 966, 314, 23382, 1456, 29961, 26361, 316, 302, 273, 10946, 1063, 2367, 538, 519, 968, 869, 892, 543, 968, 14683, 892, 2516, 630, 335, 18016, 476, 271, 269, 4905, 1040, 1879, 968, 869, 892, 543, 968, 14683, 892, 2516, 941, 14404, 1881, 676, 4008, 267, 1164, 2367, 1185, 10199, 513, 476, 736, 260, 2362, 966, 314, 23382, 1456, 29961, 26361, 316, 302, 273, 10946, 3379, 609, 1346, 945, 8593, 2630, 519, 3339, 3044, 630, 8201, 476, 272, 1040, 901, 2078, 729, 711, 4767, 538, 2021, 269, 1703, 729, 513, 1713, 2078, 538, 519, 2949, 1239, 1305, 1063, 476, 1839, 302, 8461, 543, 966, 314, 23382, 1456, 29961, 26361, 316, 302, 273, 10946, 630, 337, 815, 476, 271, 269, 11740, 267, 533, 815, 476, 271, 269, 26289, 1070, 799, 7283, 1713, 538, 2367, 630, 337, 815, 476, 271, 269, 5325, 278, 267, 533, 815, 476, 271, 269, 30033, 264, 855, 711, 538, 2021, 630, 337, 815, 6567, 271, 269, 20969, 267, 533, 815, 476, 271, 269, 4391, 280, 1040, 8447, 2534, 18102, 1239, 7000, 602, 972, 729, 513, 3575, 540, 1312, 16608, 268, 543, 4187, 2389, 11712, 9845, 538, 1312, 519, 968, 14683, 892, 630, 754, 4269, 562, 815, 476, 1428, 282, 4187, 562, 815, 476, 275, 264, 543, 519, 968, 869, 892, 2516, 630, 754, 4269, 562, 815, 476, 1724, 282, 4187, 562, 815, 476, 276, 1916, 2304, 320, 21740, 1379, 630, 335, 18016, 476, 271, 269, 9826, 264, 729, 3648, 2362, 538, 2367, 982, 2021, 282, 2705, 267, 972, 941, 1100, 1713, 3604, 538, 26103, 1379, 1759, 593, 476, 1839, 302, 8461, 4567, 630, 335, 815, 476, 271, 269, 10602, 585, 2021, 543, 533, 815, 476, 271, 269, 4097, 585, 2367, 264, 630, 8368, 476, 273, 1040, 634, 3668, 540, 4644, 729, 9738, 950, 9236, 6207, 7403, 610, 26334, 829, 1560, 2597, 630, 11899, 264, 1063, 519, 968, 869, 892, 543, 968, 14683, 892, 476, 1839, 302, 8461, 2516, 269, 1703, 729, 1100, 4767, 7678, 1063, 476, 1839, 302, 8461, 543, 26103, 1379, 630, 337, 815, 476, 271, 269, 12208, 267, 533, 815, 476, 271, 269, 5325, 273, 264, 610, 476, 1839, 302, 8461, 543, 3448, 26103, 1379, 630, 337, 815, 476, 271, 269, 26951, 267, 533, 815, 476, 271, 269, 14695, 1040, 1306, 4397, 267, 2367, 1185, 3648, 2362, 476, 279, 305, 16039, 538, 782, 3076, 1206, 3379, 609, 2021, 630, 335, 18016, 476, 271, 269, 9826, 7565, 8368, 476, 273, 1040, 1717, 267, 972, 941, 1100, 1713, 3604, 1063, 519, 968, 869, 892, 543, 968, 14683, 892, 476, 1839, 302, 8461, 2516, 538, 1022, 540, 519, 476, 279, 305, 300, 7403, 630, 8368, 476, 273, 1070, 1256, 950, 14404, 1881, 676, 4008, 630, 8368, 476, 274, 1040, 1703, 941, 1100, 4767, 3347, 538, 519, 2949, 1239, 1305, 1063, 16796, 476, 1839, 302, 8461, 543, 1022, 540, 519, 476, 279, 305, 300, 7403, 630, 17754, 577, 678, 815, 6567, 271, 269, 4962, 278, 267, 533, 815, 476, 271, 269, 278, 1626, 282, 1850, 1225, 331, 678, 815, 476, 271, 269, 271, 4649, 267, 533, 815, 476, 271, 269, 278, 1839, 282, 1850, 10137, 678, 815, 476, 271, 269, 6507, 267, 533, 815, 476, 271, 269, 25118, 282, 20005, 4737, 678, 815, 476, 271, 269, 271, 4375, 267, 533, 815, 476, 271, 269, 26764, 282, 22833, 788, 1225, 331, 678, 815, 6567, 271, 269, 4962, 278, 267, 533, 815, 476, 271, 269, 278, 1704, 282, 28886, 788, 7903, 6658, 678, 815, 476, 271, 269, 22650, 267, 533, 815, 476, 271, 269, 9032, 275, 282, 7299, 7914, 678, 815, 476, 271, 269, 18684, 267, 533, 815, 476, 271, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2878, 14399, 781, 4324, 4995, 7102, 8200, 5634, 1126, 630, 9767, 978, 518, 982, 476, 1240, 264, 610, 16981, 1126, 540, 1022, 2085, 267, 945, 729, 2907, 10655, 2640, 593, 707, 20516, 781, 2272, 1354, 1352, 5747, 267, 1131, 1832, 8391, 1346, 2640, 269, 1717, 267, 972, 616, 7182, 547, 519, 2179, 540, 2724, 835, 1920, 666, 1205, 829, 3923, 267, 865, 952, 2789, 1453, 20618, 267, 621, 1522, 581, 5258, 1851, 873, 780, 3086, 1577, 781, 2263, 1946, 971, 4507, 2291, 543, 1018, 1909, 789, 1404, 1369, 2797, 2257, 543, 1857, 3609, 5717, 780, 1262, 3963, 798, 22749, 20644, 18984, 643, 528, 11588, 15140, 294, 4261, 906, 2709, 31848, 2640, 5631, 856, 540, 6161, 585, 1514, 10304, 1107, 4180, 1004, 723, 1569, 547, 2596, 29476, 5103, 6397, 2621, 269, 1635, 3246, 15000, 609, 4747, 15364, 267, 14519, 2832, 547, 13468, 2883, 24675, 2404, 609, 2530, 269, 3958, 267, 5356, 891, 3106, 24437, 7512, 811, 4961, 547, 3565, 547, 4317, 8232, 936, 942, 2094, 789, 917, 789, 3513, 28231, 12587, 2663, 538, 1272, 610, 2390, 519, 2669, 540, 513, 7700, 1920, 4759, 780, 1103, 9759, 267, 31848, 2640, 4196, 607, 1312, 513, 8825, 2268, 1996, 6710, 543, 513, 1797, 540, 5807, 3972, 1063, 2043, 543, 741, 12044, 4703, 269, 898, 9727, 602, 1857, 3609, 15109, 1585, 5933, 540, 1272, 543, 1193, 1161, 547, 1711, 1949, 602, 10575, 3424, 2950, 1282, 4101, 2053, 780, 1262, 8777, 1645, 8479, 9650, 338, 16001, 2026, 2104, 17037, 543, 2146, 3401, 267, 1620, 1857, 3609, 2152, 899, 31848, 2640, 2636, 1647, 1153, 1053, 547, 4497, 24617, 538, 7391, 4478, 1514, 5126, 267, 7862, 267, 543, 3743, 10350, 269, 11559, 15032, 547, 1382, 3606, 3344, 540, 4317, 8232, 610, 2015, 875, 2147, 3292, 7500, 538, 1114, 2477, 269, 9181, 687, 1472, 3584, 899, 891, 7668, 6107, 547, 1831, 5483, 5171, 5935, 2486, 781, 18330, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 1933, 332, 2355, 3657, 3767, 12232, 2336, 8450, 6402, 2630, 256, 4841, 1058, 2743, 609, 606, 25129, 3823, 741, 5358, 10003, 14090, 563, 303, 11823, 3163, 267, 645, 6993, 269, 5358, 630, 6344, 4559, 994, 763, 2797, 2257, 6437, 2337, 1053, 547, 10536, 606, 6896, 1560, 540, 1702, 827, 2229, 543, 547, 1589, 2555, 21154, 827, 1857, 3609, 267, 1876, 267, 543, 6214, 269, 634, 2797, 2257, 4110, 22316, 20021, 547, 4283, 11678, 538, 2229, 267, 1857, 3028, 267, 1857, 7245, 267, 1857, 3609, 2079, 267, 15424, 14223, 267, 1870, 267, 3486, 1894, 267, 543, 3450, 269, 3509, 2836, 3557, 5101, 7345, 2797, 2257, 20021, 3136, 741, 4081, 11678, 538, 1876, 1153, 267, 610, 538, 519, 13287, 540, 10927, 5232, 538, 2797, 2257, 610, 1857, 3609, 2079, 563, 25284, 4804, 27159, 454, 10743, 4271, 908, 609, 513, 645, 6993, 269, 538, 11572, 3163, 786, 581, 2111, 547, 912, 268, 1020, 543, 24808, 606, 1620, 540, 11180, 3069, 543, 2259, 543, 2744, 4052, 1995, 538, 6214, 267, 1857, 3609, 267, 543, 18523, 6278, 563, 268, 6542, 4278, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20776, 341, 643, 528, 11588, 543, 654, 573, 578, 3125, 8081, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 5398, 8889, 1315, 4317, 8232, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1556, 281, 7591, 10657, 538, 4132, 543, 32183, 31499, 692, 296, 269, 4985, 454, 288, 269, 9502, 540, 1404, 3797, 454, 289, 269, 8466, 4282, 543, 1646, 454, 290, 269, 10020, 540, 1404, 538, 1126, 1646, 454, 291, 269, 11933, 3749, 13210, 540, 1404, 3797, 454, 292, 269, 7351, 3156, 543, 2104, 8846, 692, 2862, 269, 5853, 1049, 16610, 540, 7591, 10657, 454, 288, 269, 1548, 568, 1404, 888, 272, 269, 4197, 1404, 607, 513, 2067, 7154, 540, 2792, 585, 1453, 454, 273, 269, 22553, 540, 1404, 281, 6198, 267, 5559, 520, 1242, 267, 12572, 267, 543, 3756, 609, 3652, 454, 274, 269, 11957, 540, 1404, 538, 5042, 267, 3929, 267, 1514, 267, 543, 2168, 1646, 454, 289, 269, 14362, 540, 1404, 3797, 454, 272, 269, 12861, 513, 2922, 543, 11215, 1604, 454, 273, 269, 11374, 519, 1126, 781, 1291, 454, 274, 269, 26787, 9354, 2078, 998, 1140, 2317, 618, 543, 6568, 454, 275, 269, 18964, 1582, 22325, 543, 5876, 454, 276, 269, 11120, 22626, 1966, 6061, 1983, 543, 12003, 2994, 692, 7656, 269, 9537, 540, 7591, 10657, 22604, 454, 288, 269, 6034, 633, 5288, 6348, 1673, 1311, 633, 4485, 454, 272, 269, 6034, 633, 1935, 281, 8606, 658, 3797, 267, 15465, 15515, 24173, 1404, 3797, 630, 290, 289, 8976, 1070, 543, 23247, 25700, 5042, 15515, 24173, 3797, 630, 307, 293, 4211, 6630, 994, 273, 269, 6348, 1673, 1311, 633, 1935, 281, 12287, 31588, 1229, 7591, 10657, 630, 15425, 8976, 264, 543, 4132, 31588, 1229, 7591, 10657, 630, 6717, 8976, 994, 289, 269, 6715, 13577, 3631, 454, 272, 269, 14271, 1120, 2045, 7591, 10657, 630, 306, 8976, 2567, 10128, 23798, 543, 11009, 883, 1404, 3797, 2259, 454, 273, 269, 25833, 29766, 7844, 630, 11403, 300, 2567, 5466, 13613, 2152, 1210, 1404, 3797, 2553, 692, 4353, 269, 10495, 543, 16214, 538, 7591, 10657, 454, 288, 269, 2776, 7308, 2805, 4879, 454, 272, 269, 11916, 11042, 543, 7422, 454, 273, 269, 9977, 26830, 543, 12773, 10253, 454, 274, 269, 9208, 1242, 3800, 543, 10368, 2645, 454, 289, 269, 744, 32054, 6268, 1282, 3797, 454, 272, 269, 16424, 3356, 543, 2126, 3853, 454, 273, 269, 17291, 1761, 7496, 610, 2591, 454, 274, 269, 21664, 609, 15637, 267, 3610, 267, 543, 824, 4648, 454, 290, 269, 5403, 7308, 2805, 1246, 909, 543, 6364, 20241, 454, 272, 269, 25732, 1279, 3856, 2360, 543, 6940, 540, 12374, 1500, 538, 3797, 454, 273, 269, 22034, 2022, 7308, 2805, 10526, 547, 1217, 2104, 7459, 543, 1655, 2853, 692, 309, 269, 10241, 540, 7591, 10657, 538, 7981, 7377, 2827, 454, 288, 269, 5753, 609, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 994, 272, 269, 30459, 3350, 543, 10444, 14242, 1369, 7886, 454, 273, 269, 18601, 20949, 1852, 543, 3007, 7965, 454, 274, 269, 25417, 4081, 9740, 543, 9263, 3347, 454, 289, 269, 15272, 10010, 609, 4160, 4713, 454, 272, 269, 8490, 30840, 543, 2566, 5786, 1983, 454, 273, 269, 22452, 543, 3210, 6604, 2553, 9862, 585, 6107, 454, 274, 269, 31514, 7553, 7939, 5759, 454, 290, 269, 11554, 609, 26144, 8552, 4524, 630, 32359, 264, 2551, 454, 272, 269, 15043, 1514, 5872, 543, 2792, 1983, 454, 273, 269, 674, 29183, 19511, 1404, 543, 5133, 2921, 454, 274, 269, 19484, 13289, 543, 15268, 547, 2242, 692, 9654, 269, 15979, 543, 12333, 11621, 538, 7591, 10657, 6657, 454, 288, 269, 13397, 839, 675, 4170, 543, 19609, 532, 4703, 454, 272, 269, 5948, 585, 7591, 10657, 630, 4338, 307, 994, 273, 269, 1977, 16723, 5948, 630, 4338, 288, 264, 10406, 476, 5655, 910, 5980, 585, 28968, 538, 26859, 15789, 454, 289, 269, 19078, 4808, 543, 3741, 454, 272, 269, 14847, 775, 543, 3318, 5539, 454, 273, 269, 8836, 8417, 543, 13784, 454, 274, 269, 4762, 7808, 640, 267, 5483, 9844, 267, 543, 2385, 5698, 454, 275, 269, 8111, 9679, 267, 15360, 267, 543, 5571, 2069, 692, 23997, 269, 8892, 19648, 543, 24021, 12367, 538, 7591, 10657, 3194, 543, 6657, 454, 288, 269, 25790, 538, 2029, 543, 5691, 5867, 454, 272, 269, 6732, 15569, 543, 29492, 454, 273, 269, 14044, 4641, 4598, 3797, 585, 8156, 8194, 543, 943, 984, 5362, 454, 274, 269, 7913, 9423, 543, 3014, 2861, 7459, 454, 289, 269, 11671, 321, 5735, 543, 27981, 7497, 540, 1404, 3797, 454, 272, 269, 15766, 908, 2634, 6127, 5817, 10835, 1689, 543, 2208, 454, 273, 269, 24356, 5444, 4082, 3270, 2404, 609, 3811, 3797, 4093, 454, 290, 269, 667, 5744, 543, 26173, 5095, 538, 1404, 3797, 1382, 454, 272, 269, 5890, 21505, 10333, 543, 10014, 3646, 454, 273, 269, 23207, 4763, 1851, 19353, 267, 3173, 267, 543, 7855, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25603, 3776, 10076, 2657, 12243, 454, 5978, 5004, 12243, 454, 5978, 10076, 2657, 9615, 3038, 11107, 454, 17809, 11107, 616, 4867, 16561, 1007, 7218, 269, 13555, 721, 693, 476, 25148, 268, 8517, 268, 21327, 280, 267, 4781, 476, 272, 267, 547, 8430, 606, 13393, 22812, 2536, 1537, 563, 1262, 7490, 4063, 281, 2353, 7426, 616, 4867, 3246, 17791, 8234, 7896, 2878, 454, 7804, 269, 19811, 4607, 1010, 6481, 23422, 689, 519, 2160, 540, 15930, 267, 22768, 267, 538, 476, 1220, 274, 269, 1261, 22002, 1010, 4937, 24741, 2866, 693, 20999, 2160, 267, 799, 646, 6192, 538, 476, 1220, 278, 269, 3220, 269, 19811, 8120, 547, 519, 2160, 540, 15930, 267, 22768, 267, 585, 1010, 4132, 543, 32183, 24741, 2866, 267, 799, 646, 6192, 538, 476, 1220, 280, 269, 3220, 269, 19811, 24870, 538, 6646, 2359, 540, 17867, 2175, 563, 3891, 814, 1880, 1719, 538, 6689, 1644, 2175, 267, 1519, 11838, 267, 17520, 4713, 267, 543, 4201, 2065, 15136, 269, 1261, 1568, 609, 1453, 267, 10708, 267, 543, 4079, 563, 9616, 281, 3220, 269, 19811, 1568, 538, 519, 3683, 548, 320, 8433, 267, 4092, 538, 519, 25028, 3118, 1773, 18054, 543, 519, 4498, 5112, 6019, 8433, 563, 17442, 307, 30377, 4607, 1200, 9457, 540, 3163, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 4132, 1299, 32183, 1315, 7591, 10657, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 5530, 589, 1749, 585, 6406, 6796, 1401, 3133, 725, 1107, 12124, 12020, 543, 4886, 29760, 593, 29258, 781, 9978, 4065, 3590, 692, 296, 269, 4985, 454, 31413, 4058, 543, 1646, 1404, 2629, 5107, 538, 5935, 4872, 262, 1514, 267, 2804, 267, 2825, 267, 543, 2686, 8916, 269, 769, 3624, 267, 3540, 22063, 616, 3743, 585, 7598, 4683, 4507, 602, 3895, 4264, 2208, 543, 12581, 1569, 547, 1857, 2533, 269, 901, 1576, 1770, 786, 1683, 1353, 11226, 585, 3540, 3028, 18362, 5059, 593, 4683, 4058, 543, 1646, 998, 606, 6514, 540, 29258, 781, 2596, 2069, 1062, 269, 1635, 3695, 29258, 781, 1995, 538, 7598, 922, 8370, 4458, 25471, 2069, 3609, 267, 713, 1770, 6663, 547, 15052, 707, 1620, 540, 1883, 2152, 538, 4683, 4058, 543, 1646, 1247, 3246, 4052, 4030, 883, 2500, 10350, 2994, 780, 2862, 269, 8466, 11137, 540, 29258, 781, 9978, 4065, 3590, 454, 288, 269, 19372, 618, 540, 519, 27607, 268, 17413, 3281, 6160, 800, 4065, 3590, 630, 2735, 276, 994, 289, 269, 28841, 540, 7457, 547, 10866, 12729, 543, 18520, 12140, 630, 1960, 271, 338, 994, 290, 269, 7351, 12367, 281, 5398, 6261, 337, 10675, 16890, 4721, 543, 3427, 14893, 24727, 692, 7656, 269, 6206, 16610, 538, 12124, 12020, 543, 4886, 11930, 547, 29258, 781, 9978, 4065, 3590, 454, 288, 269, 18043, 8092, 2422, 543, 2098, 11238, 11150, 454, 272, 269, 21344, 10821, 267, 5010, 267, 4853, 267, 16351, 267, 543, 12250, 2244, 3096, 3248, 273, 269, 31514, 14479, 1063, 16973, 3842, 6283, 5121, 3248, 274, 269, 23840, 2591, 5185, 676, 29258, 781, 24990, 281, 8425, 30826, 543, 10097, 8027, 780, 289, 269, 24054, 538, 12409, 19662, 454, 272, 269, 18601, 13103, 2066, 14227, 2516, 267, 13664, 2127, 267, 543, 22097, 3248, 273, 269, 26472, 8537, 2069, 998, 6098, 7459, 3248, 274, 269, 16424, 3356, 2509, 9698, 3853, 1210, 9969, 326, 27935, 1239, 2079, 780, 290, 269, 20885, 543, 26504, 538, 12124, 28805, 454, 272, 269, 5682, 5989, 1374, 543, 5610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 525, 6834, 476, 272, 454, 453, 19677, 12500, 611, 318, 29674, 525, 6910, 263, 29674, 994, 453, 16596, 1582, 12500, 611, 318, 29674, 525, 692, 22592, 711, 318, 12072, 4311, 2187, 453, 453, 18851, 11514, 2452, 602, 519, 6345, 814, 29921, 606, 23380, 1915, 543, 723, 873, 2119, 1586, 12163, 453, 19677, 269, 27234, 4590, 453, 13537, 2891, 6546, 568, 711, 4484, 256, 8347, 1586, 23528, 453, 16596, 1582, 269, 12528, 4671, 787, 10797, 22592, 1482, 318, 12072, 318, 29674, 4311, 2187, 453, 453, 18851, 11514, 2452, 519, 6345, 814, 2907, 31665, 602, 2262, 256, 12163, 453, 19677, 269, 27234, 4590, 453, 13537, 2891, 2791, 723, 2907, 31665, 602, 4484, 256, 8347, 1586, 23528, 453, 16596, 1582, 269, 12528, 4671, 787, 10797, 22592, 4986, 318, 29674, 539, 4311, 2187, 453, 453, 18851, 11514, 2452, 519, 6345, 29921, 4986, 12163, 453, 19677, 269, 27234, 4590, 453, 13537, 2891, 2791, 1705, 711, 1826, 4376, 256, 8347, 1586, 23528, 453, 16596, 1582, 269, 12528, 4671, 787, 10797, 22592, 3014, 318, 1478, 318, 7773, 4311, 267, 5728, 29999, 2187, 453, 453, 18851, 763, 3014, 568, 936, 543, 519, 6345, 4465, 12163, 453, 13537, 2891, 2791, 4465, 519, 3014, 256, 634, 2262, 729, 15079, 2668, 8971, 4311, 269, 572, 4038, 29999, 4917, 453, 16596, 19523, 20216, 527, 10797, 22592, 1404, 318, 28785, 4311, 2187, 453, 453, 18851, 16485, 519, 6345, 952, 789, 1616, 547, 1404, 1586, 12163, 453, 453, 28785, 815, 3403, 2891, 2710, 596, 1616, 547, 1404, 1586, 286, 962, 14672, 19515, 453, 14851, 1586, 11203, 1412, 333, 12466, 4848, 16596, 1582, 15630, 1575, 4590, 453, 28432, 912, 4848, 16596, 19523, 20216, 527, 10797, 22592, 3014, 318, 1478, 9078, 846, 4311, 267, 5728, 29999, 267, 8642, 2187, 453, 453, 18851, 763, 3014, 568, 936, 543, 519, 6345, 4503, 12163, 453, 13537, 3488, 24001, 1422, 333, 8339, 8971, 14116, 1429, 545, 4917, 453, 13537, 2891, 2791, 4503, 256, 634, 5728, 29999, 729, 15079, 2668, 8971, 4311, 269, 572, 4038, 29999, 4917, 453, 16596, 19523, 20216, 527, 10797, 22592, 4159, 14682, 1429, 923, 4311, 267, 7058, 525, 2187, 453, 453, 18851, 11514, 2452, 519, 12449, 540, 519, 13793, 2006, 12163, 453, 14851, 1582, 3052, 340, 612, 525, 2652, 476, 271, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 14706, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 272, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 821, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 273, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 6745, 6851, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 274, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 22764, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 275, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 8807, 712, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 276, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 8807, 633, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 277, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 4732, 1460, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 278, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 572, 1597, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 279, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 4318, 697, 10797, 22592, 4159, 318, 16769, 4311, 267, 10145, 29999, 2187, 453, 453, 18851, 11514, 2452, 10145, 2262, 543, 7058, 525, 2907, 13603, 12163, 453, 13537, 19629, 333, 763, 2262, 568, 15079, 3197, 1279, 14826, 2668, 8971, 12759, 4311, 269, 572, 4038, 29999, 21875, 453, 13537, 2891, 4449, 16875, 2715, 4153, 333, 2668, 8971, 4311, 269, 5891, 14682, 1429, 923, 4311, 3052, 340, 612, 525, 21875, 453, 13537, 2891, 346, 4153, 333, 14826, 2668, 8971, 4311, 269, 29734, 29999, 4917, 453, 22610, 4484, 538, 1582, 12500, 611, 318, 29674, 525, 912, 4848, 13537, 3488, 24001, 8339, 8971, 263, 12072, 1070, 1439, 8782, 1412, 2020, 22592, 2312, 4311, 2187, 453, 453, 18851, 28733, 519, 5496, 585, 4443, 31824, 12163, 453, 14851, 15259, 20508, 2652, 1412, 660, 12466, 4848, 16596, 15259, 269, 17882, 3488, 743, 338, 5073, 453, 28432, 912, 4848, 16596, 15259, 269, 17882, 3488, 27234, 17210, 22592, 14764, 4311, 2187, 453, 453, 18851, 15675, 799, 3014, 1604, 547, 1376, 909, 12163, 453, 453, 18528, 22187, 815, 3403, 2891, 1432, 7411, 798, 596, 1616, 547, 1404, 286, 27029, 4848, 15235, 567, 834, 314, 292, 316, 6470, 286, 1496, 300, 316, 539, 1756, 286, 610, 1496, 295, 316, 731, 286, 17292, 513, 4484, 27029, 4848, 15235, 567, 834, 514, 519, 23049, 269, 834, 1040, 12294, 4590, 453, 14851, 7411, 2652, 1412, 324, 12466, 4848, 453, 18524, 815, 7411, 27133, 14005, 9950, 6470, 300, 1712, 263, 16651, 284, 6358, 2891, 1432, 568, 707, 2012, 6345, 286, 27328, 4848, 453, 18524, 269, 1037, 4590, 453, 453, 19197, 7411, 2652, 1412, 332, 12466, 4848, 453, 18524, 815, 7411, 27133, 14005, 8160, 539, 1756, 300, 1712, 263, 16651, 284, 6358, 2891, 1432, 568, 707, 2012, 6345, 286, 27328, 4848, 453, 18524, 269, 1037, 4590, 453, 453, 19197, 7411, 2652, 1412, 327, 12466, 4848, 453, 18524, 815, 7411, 27133, 14005, 13034, 731, 300, 1712, 263, 16651, 284, 6358, 2891, 1432, 568, 707, 2012, 6345, 286, 27328, 4848, 453, 18524, 269, 1037, 4590, 453, 453, 19197, 7411, 711, 538, 1412, 655, 327, 12466, 4848, 13537, 2891, 6546, 568, 711, 513, 4570, 7411, 269, 8347, 1586, 26142, 333, 15419, 22592, 5180, 4311, 2187, 453, 453, 18851, 8620, 513, 5180, 540, 519, 3014, 12163, 453, 453, 6112, 1582, 3052, 340, 612, 525, 2999, 476, 279, 912, 4848, 19677, 269, 2452, 4590, 453, 28432, 912, 4848, 16596, 1582, 3052, 877, 318, 1478, 9078, 846, 4311, 269, 572, 4038, 29999, 267, 670, 836, 2006, 20877, 923, 4318, 697, 31156, 22592, 1404, 4311, 2187, 453, 453, 18851, 9359, 519, 3014, 12163, 453, 453, 12528, 318, 29674, 815, 1582, 269, 12528, 4671, 787, 4590, 453, 453, 2431, 318, 528, 16062, 3994, 815, 1582, 269, 13765, 4671, 787, 263, 12528, 318, 29674, 314, 271, 3910, 1582, 269, 572, 4038, 29999, 267, 26444, 20930, 4848, 15235, 19677, 12500, 611, 318, 29674, 525, 267, 3593, 318, 29674, 314, 272, 7481, 453, 16596, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 657, 269, 17882, 3488, 743, 338, 262, 952, 15259, 20508, 2652, 1412, 660, 262, 3116, 1412, 27234, 5073, 453, 6112, 6936, 912, 453, 453, 18524, 815, 670, 836, 2006, 4590, 453, 453, 18524, 15630, 1575, 3890, 0, 258, 1234, 548, 1078, 547, 1053, 5897, 5814, 19523, 5897, 3698, 1292, 263, 1173, 341, 8029, 825, 952, 7003, 263, 1173, 341, 264, 11203, 476, 272, 6769, 1038, 1820, 2891, 5825, 720, 281, 9226, 3236, 318, 20777, 1807, 18258, 1496, 12949, 15461, 17750, 18316, 316, 14744, 1038, 2132, 1477, 825, 1820, 263, 15263, 19152, 263, 1173, 341, 314, 271, 8079, 10142, 3698, 1184, 19152, 4433, 8029, 825, 1710, 815, 1930, 4433, 267, 834, 337, 14744, 825, 1899, 815, 1710, 18667, 1467, 14061, 20889, 14052, 825, 952, 7003, 263, 1467, 264, 11203, 476, 272, 610, 711, 1899, 314, 271, 4940, 529, 323, 13424, 28399, 1038, 2132, 834, 18118, 476, 272, 1590, 2270, 513, 2582, 8870, 1701, 1477, 825, 715, 815, 703, 263, 1467, 314, 271, 29573, 825, 952, 715, 2999, 476, 272, 610, 715, 3436, 476, 4335, 6769, 1038, 2132, 834, 301, 1590, 581, 606, 8870, 1063, 476, 272, 543, 476, 4335, 267, 8537, 1701, 5897, 825, 1899, 815, 1710, 18667, 1467, 14061, 20889, 14052, 825, 952, 7003, 263, 1467, 264, 3436, 715, 6769, 1038, 2132, 834, 2467, 3112, 581, 811, 982, 715, 1453, 14622, 1701, 5897, 825, 1453, 815, 1496, 15947, 825, 585, 1126, 538, 1899, 6769, 1038, 952, 711, 1126, 18994, 323, 13424, 28399, 2018, 2132, 834, 763, 1899, 540, 1453, 1590, 2270, 9981, 29177, 1038, 1126, 815, 703, 263, 18876, 3418, 1038, 952, 1126, 2999, 476, 271, 610, 1126, 13843, 715, 6769, 2018, 2132, 834, 10376, 1126, 4994, 1590, 581, 1063, 476, 271, 543, 715, 268, 272, 29177, 1038, 1453, 6910, 263, 18876, 10142, 825, 546, 815, 20886, 271, 585, 795, 538, 2039, 18217, 13580, 585, 1775, 538, 2039, 18217, 13580, 1477, 825, 585, 1775, 538, 2039, 18217, 8029, 1038, 1899, 815, 1710, 18667, 1467, 14061, 20889, 14052, 1038, 952, 7003, 263, 1467, 264, 11203, 715, 6769, 2018, 2132, 834, 18118, 834, 1341, 1193, 9217, 266, 273, 264, 1341, 834, 1590, 2270, 715, 9981, 1701, 1477, 1038, 585, 795, 538, 2039, 18217, 8029, 2018, 952, 711, 1899, 14728, 4940, 529, 323, 13424, 28399, 3546, 2132, 834, 18118, 834, 1341, 1193, 9217, 266, 273, 264, 1341, 834, 1590, 2270, 715, 9981, 1701, 1477, 2018, 546, 5157, 6012, 329, 316, 815, 703, 263, 1467, 14728, 29573, 2018, 952, 546, 5157, 6012, 329, 316, 2999, 476, 271, 610, 546, 5157, 6012, 329, 316, 3436, 476, 272, 6769, 3546, 2132, 834, 763, 7755, 659, 1890, 5119, 1590, 581, 16922, 540, 476, 271, 338, 543, 476, 272, 338, 1701, 1477, 825, 585, 1775, 538, 2039, 18217, 8029, 1038, 952, 546, 5157, 6012, 328, 316, 11203, 476, 271, 6769, 2018, 2132, 834, 288, 6843, 3112, 723, 606, 6316, 547, 3294, 1701, 1477, 825, 2132, 834, 27349, 21453, 257, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1292, 4433, 903, 27769, 341, 314, 272, 281, 29573, 0, 5814, 1770, 11687, 454, 5228, 21912, 8266, 1104, 21912, 8266, 692, 5035, 5871, 299, 22075, 8266, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 264, 23241, 825, 1219, 1305, 10000, 4311, 264, 10778, 1038, 1582, 269, 4289, 815, 21912, 8266, 4590, 1038, 1582, 269, 4289, 14491, 5575, 3488, 14140, 272, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 273, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 274, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 275, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 276, 5073, 1038, 1820, 3488, 3553, 909, 17210, 825, 1219, 15237, 291, 1144, 4311, 264, 10778, 1038, 1820, 3488, 339, 792, 1524, 17210, 825, 1219, 1449, 318, 1326, 4311, 264, 10778, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 271, 1070, 1412, 14140, 272, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 272, 1070, 1412, 14140, 273, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 273, 1070, 1412, 14140, 274, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 274, 1070, 1412, 14140, 275, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 275, 1070, 1412, 14140, 276, 17210, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 2412, 1070, 1412, 14140, 276, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 8987, 2412, 1070, 1412, 14140, 272, 17210, 825, 1219, 1449, 318, 13757, 4311, 264, 10778, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 272, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 273, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 274, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 275, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 276, 29125, 1038, 1582, 20596, 16178, 4311, 269, 4289, 269, 13757, 3488, 16149, 272, 10807, 2020, 825, 1219, 1449, 16229, 8170, 4311, 264, 10778, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 272, 30670, 476, 271, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 273, 30670, 476, 272, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 274, 30670, 476, 273, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 275, 30670, 476, 274, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 276, 30670, 476, 275, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3066, 281, 2745, 2891, 6434, 265, 3066, 815, 476, 14838, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3066, 281, 2745, 2891, 6434, 270, 3066, 815, 476, 274, 269, 271, 4097, 4366, 273, 4037, 279, 30663, 6924, 280, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 266, 1789, 815, 476, 14093, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 268, 1789, 815, 476, 6812, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 265, 1789, 815, 476, 25784, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 1789, 281, 2745, 2891, 6434, 270, 1789, 815, 476, 273, 269, 280, 3451, 18357, 18357, 18357, 18357, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 266, 4029, 815, 476, 15686, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 268, 4029, 815, 476, 6872, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 265, 4029, 815, 476, 26604, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4029, 281, 2745, 2891, 6434, 270, 4029, 815, 476, 273, 269, 279, 4343, 3583, 280, 277, 6507, 275, 866, 28307, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 266, 3953, 815, 476, 6344, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 268, 3953, 815, 476, 6321, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 265, 3953, 815, 476, 27005, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3953, 281, 2745, 2891, 6434, 270, 3953, 815, 476, 273, 269, 4037, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 266, 3451, 815, 476, 13199, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 268, 3451, 815, 476, 4649, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 265, 3451, 815, 476, 23310, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3451, 281, 2745, 2891, 6434, 270, 3451, 815, 476, 273, 269, 26116, 26116, 26116, 26116, 26116, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 266, 4097, 815, 476, 14338, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 268, 4097, 815, 476, 7918, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 265, 4097, 815, 476, 26482, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4097, 281, 2745, 2891, 6434, 270, 4097, 815, 476, 273, 269, 276, 6434, 20720, 29848, 14056, 5038, 278, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 266, 3374, 815, 476, 11277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 268, 3374, 815, 476, 7871, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 265, 3374, 815, 476, 28143, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3374, 281, 2745, 2891, 6434, 270, 3374, 815, 476, 273, 269, 276, 1691, 26326, 278, 1691, 26326, 278, 1691, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 266, 3607, 815, 476, 14862, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 268, 3607, 815, 476, 7367, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 265, 3607, 815, 476, 22332, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3607, 281, 2745, 2891, 6434, 270, 3607, 815, 476, 273, 269, 29900, 29900, 29900, 29900, 29900, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 266, 4391, 815, 476, 10219, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 268, 4391, 815, 476, 7906, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 265, 4391, 815, 476, 23283, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4391, 281, 2745, 2891, 6434, 270, 4391, 815, 476, 273, 269, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 266, 4343, 815, 476, 14695, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 268, 4343, 815, 476, 2004, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 265, 4343, 815, 476, 31172, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4343, 281, 2745, 2891, 6434, 270, 4343, 815, 476, 273, 269, 25628, 4281, 280, 5325, 274, 6924, 275, 13975, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 266, 4375, 815, 476, 14096, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 268, 4375, 815, 476, 5392, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 265, 4375, 815, 476, 29340, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4375, 281, 2745, 2891, 6434, 270, 4375, 815, 476, 273, 269, 16348, 25148, 16348, 25148, 16348, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 266, 2412, 815, 476, 12553, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 268, 2412, 815, 476, 4366, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 265, 2412, 815, 476, 31134, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 2412, 281, 2745, 2891, 6434, 270, 2412, 815, 476, 273, 269, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 266, 6078, 815, 476, 15782, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 268, 6078, 815, 476, 5325, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 265, 6078, 815, 476, 11740, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6078, 281, 2745, 2891, 6434, 270, 6078, 815, 476, 273, 269, 16409, 30130, 5379, 274, 29300, 277, 4097, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 266, 5655, 815, 476, 9873, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 268, 5655, 815, 476, 5379, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 265, 5655, 815, 476, 3607, 280, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 5655, 281, 2745, 2891, 6434, 270, 5655, 815, 476, 273, 269, 271, 4817, 24487, 271, 4817, 24487, 271, 4817, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 266, 6246, 815, 476, 14530, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 268, 6246, 815, 476, 3393, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 265, 6246, 815, 476, 274, 4281, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6246, 281, 2745, 2891, 6434, 270, 6246, 815, 476, 273, 269, 271, 5379, 276, 1556, 277, 2767, 3445, 277, 280, 6507, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 266, 4510, 815, 476, 15171, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 268, 4510, 815, 476, 4510, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 265, 4510, 815, 476, 4343, 278, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4510, 281, 2745, 2891, 6434, 270, 4510, 815, 476, 273, 269, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3393, 281, 2745, 2891, 6434, 266, 3393, 815, 476, 15836, 14744, 604, 3593, 6358, 272, 2652, 476, 6434, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3393, 281, 2745, 2891, 6434, 268, 3393, 815, 476, 6246, 14744, 604, 3593, 6358, 272, 2652, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1858, 568, 966, 692, 343, 284, 322, 311, 23444, 290, 310, 23444, 309, 265, 11133, 290, 1841, 268, 272, 4297, 270, 273, 454, 1721, 594, 284, 272, 547, 524, 311, 454, 9526, 6831, 731, 9217, 21726, 11971, 264, 12262, 14322, 962, 568, 1305, 2907, 454, 343, 24210, 266, 309, 454, 10113, 594, 692, 332, 1276, 4443, 982, 3843, 547, 5173, 513, 1875, 31059, 3830, 692, 27237, 292, 2433, 713, 3009, 568, 585, 14745, 5301, 1152, 267, 543, 568, 711, 5921, 607, 513, 2759, 9706, 4292, 3070, 269, 898, 568, 909, 547, 596, 547, 1174, 519, 1184, 543, 3082, 621, 547, 3514, 707, 25896, 780, 296, 4769, 1406, 14477, 3442, 1346, 19641, 267, 621, 779, 1018, 513, 2147, 570, 290, 294, 9315, 3014, 1031, 1759, 593, 13819, 32718, 594, 3576, 780, 15368, 1227, 594, 1616, 519, 6486, 547, 1205, 6251, 547, 1142, 824, 519, 811, 6486, 972, 616, 538, 519, 6345, 779, 1688, 269, 634, 18545, 779, 1688, 568, 1776, 1650, 2094, 1346, 6486, 616, 1373, 18808, 689, 1318, 547, 2451, 3079, 540, 2451, 547, 1318, 780, 2691, 596, 723, 835, 3556, 538, 519, 1688, 621, 786, 979, 538, 519, 4099, 540, 519, 17198, 693, 630, 4343, 274, 267, 476, 278, 3066, 6393, 604, 596, 723, 476, 272, 547, 476, 278, 6486, 2560, 1287, 1175, 1118, 513, 8564, 8865, 3948, 2507, 1586, 2507, 621, 568, 4443, 982, 9258, 4702, 513, 1875, 31059, 3830, 692, 7775, 946, 606, 5044, 1384, 291, 574, 1975, 5217, 3890, 607, 8870, 815, 5044, 263, 271, 267, 271, 267, 1626, 267, 1321, 267, 1015, 267, 274, 16427, 1704, 16427, 4029, 2020, 2252, 596, 616, 1305, 593, 606, 3830, 267, 946, 9185, 547, 1683, 596, 606, 16759, 269, 1280, 1383, 281, 586, 815, 910, 271, 269, 271, 4391, 343, 317, 274, 910, 476, 272, 269, 277, 4281, 277, 343, 317, 273, 1341, 476, 279, 269, 13893, 273, 20080, 1341, 476, 276, 269, 3445, 275, 279, 692, 314, 638, 1774, 284, 31003, 3583, 280, 281, 287, 27144, 1284, 11232, 316, 7775, 946, 606, 5044, 1384, 291, 574, 1975, 5217, 3890, 607, 8870, 815, 5044, 263, 271, 267, 271, 267, 1626, 267, 1321, 267, 1015, 267, 274, 16427, 1704, 16427, 4029, 264, 1496, 270, 638, 1774, 2639, 6546, 3085, 1406, 948, 607, 972, 786, 581, 811, 982, 1175, 476, 278, 6486, 538, 519, 1688, 4470, 593, 519, 3510, 269, 1703, 1223, 581, 476, 1428, 610, 811, 780, 296, 723, 1100, 2856, 1018, 602, 568, 269, 2334, 779, 1259, 3564, 1250, 2979, 1983, 780, 296, 4076, 4956, 585, 1631, 547, 946, 513, 4542, 1175, 1175, 5036, 519, 6486, 693, 513, 1808, 8884, 269, 17610, 594, 666, 1152, 4159, 476, 279, 6486, 693, 1022, 2016, 942, 610, 789, 786, 581, 3544, 519, 7298, 2039, 540, 519, 17198, 855, 621, 1058, 581, 2614, 585, 1631, 780, 296, 7058, 952, 972, 786, 581, 513, 27630, 610, 811, 6486, 594, 666, 2995, 519, 3009, 547, 6175, 519, 2230, 1063, 6486, 547, 1945, 4130, 780, 296, 4076, 1336, 713, 3896, 3833, 5363, 693, 2053, 1384, 10674, 2517, 4178, 269, 19986, 4118, 2593, 270, 18091, 592, 710, 272, 11258, 692, 6546, 729, 1175, 606, 1383, 269, 1411, 666, 1039, 519, 3606, 19437, 2418, 547, 519, 5044, 267, 835, 1871, 585, 1142, 3606, 3556, 269, 1284, 666, 1406, 2285, 596, 513, 2347, 2626, 950, 596, 1152, 2995, 721, 851, 540, 519, 1966, 269, 594, 8263, 602, 596, 917, 519, 5021, 1297, 540, 6486, 602, 513, 6345, 666, 7654, 723, 269, 1403, 596, 2995, 721, 519, 838, 659, 902, 585, 782, 540, 873, 267, 1287, 649, 666, 2285, 596, 513, 2407, 2626, 780, 263, 293, 312, 296, 267, 1759, 593, 519, 2338, 596, 723, 2016, 721, 267, 972, 568, 1100, 7805, 2241, 4806, 269, 1924, 649, 666, 1406, 3514, 1022, 2241, 4542, 547, 891, 2338, 24355, 296, 4076, 4956, 547, 946, 513, 2241, 4542, 1141, 3556, 835, 568, 2141, 538, 519, 1482, 1747, 543, 1287, 513, 19585, 602, 2242, 519, 19437, 1759, 593, 519, 1297, 540, 6486, 538, 519, 6345, 779, 1688, 269, 5455, 547, 476, 279, 6486, 815, 476, 4281, 19641, 267, 476, 279, 268, 1556, 6486, 568, 476, 2004, 543, 811, 982, 476, 1556, 568, 476, 1789, 269, 594, 666, 4159, 909, 547, 476, 736, 6486, 609, 713, 269, 898, 568, 12691, 602, 972, 786, 581, 811, 982, 602, 585, 1631, 780, 12552, 585, 519, 948, 780, 296, 7058, 5555, 267, 2663, 593, 950, 519, 3014, 568, 2965, 2324, 594, 3580, 556, 1740, 621, 865, 519, 6486, 786, 1847, 950, 6537, 780, 6533, 596, 3830, 568, 454, 11898, 14352, 20135, 318, 12296, 24179, 11133, 6831, 1841, 265, 12296, 15058, 6831, 731, 4297, 14370, 11133, 6831, 1841, 268, 272, 2020, 20135, 318, 12296, 284, 323, 2700, 23276, 602, 519, 6486, 1590, 3514, 1369, 630, 4754, 11663, 9884, 5954, 11631, 286, 994, 11133, 6831, 1841, 815, 1297, 540, 6486, 538, 519, 1688, 454, 12296, 15058, 6831, 731, 815, 1297, 540, 19641, 8700, 519, 8642, 3239, 540, 519, 3556, 568, 692, 10472, 2230, 968, 301, 892, 6486, 14961, 7488, 540, 519, 1297, 540, 6486, 0, 3499, 9223, 476, 4510, 280, 4281, 279, 454, 293, 2393, 4252, 568, 519, 1034, 5172, 7328, 547, 4585, 593, 8613, 585, 476, 2412, 260, 540, 782, 4079, 269, 2422, 519, 3339, 5506, 3892, 547, 16977, 713, 23481, 5506, 3892, 547, 1265, 519, 5506, 602, 538, 513, 4351, 3732, 540, 476, 4335, 4079, 267, 476, 6977, 547, 476, 4198, 786, 2161, 11176, 568, 741, 1034, 5172, 7328, 547, 4585, 593, 8613, 563, 763, 23481, 623, 263, 6977, 261, 258, 277, 1626, 6734, 282, 1535, 1299, 258, 277, 1626, 6734, 282, 476, 4198, 264, 815, 12223, 13090, 692, 2411, 454, 8794, 519, 3339, 19406, 596, 1616, 623, 263, 7277, 269, 276, 27045, 1535, 10922, 4198, 269, 276, 994, 11743, 815, 5286, 815, 476, 4335, 265, 271, 269, 275, 815, 476, 1220, 454, 560, 323, 815, 21762, 18828, 336, 264, 815, 21762, 263, 1220, 265, 271, 269, 277, 264, 815, 476, 1015, 269, 4817, 454, 2411, 454, 734, 8894, 345, 263, 7277, 269, 276, 264, 815, 630, 7277, 269, 276, 268, 1220, 8358, 1015, 269, 4817, 815, 910, 272, 269, 25870, 276, 454, 734, 8894, 345, 263, 4198, 269, 276, 264, 815, 630, 4198, 269, 276, 268, 1220, 8358, 1015, 269, 4817, 815, 910, 271, 269, 30329, 271, 454, 4499, 454, 303, 263, 6977, 27045, 1535, 10922, 4198, 264, 349, 623, 8987, 272, 269, 25870, 276, 27045, 1990, 10922, 268, 271, 269, 30329, 271, 264, 815, 476, 271, 269, 26783, 272, 454, 13117, 4499, 454, 10267, 619, 2676, 1805, 534, 670, 269, 3499, 0, 1012, 1395, 339, 9418, 326, 14766, 476, 273, 1296, 3516, 19279, 23194, 2324, 693, 519, 28561, 585, 14964, 519, 9640, 269, 901, 3018, 646, 887, 1372, 585, 476, 274, 269, 276, 3108, 267, 799, 568, 476, 275, 269, 276, 1447, 982, 7466, 519, 1297, 540, 3108, 646, 5249, 269, 1215, 1082, 3108, 1705, 646, 960, 713, 3018, 286, 2913, 554, 815, 519, 1297, 540, 3108, 646, 5249, 269, 589, 269, 476, 275, 269, 276, 910, 476, 273, 263, 274, 269, 276, 264, 815, 554, 282, 554, 815, 476, 273, 269, 276, 645, 269, 476, 273, 263, 274, 269, 276, 264, 910, 476, 275, 269, 276, 815, 554, 282, 554, 815, 476, 273, 269, 276, 595, 269, 476, 274, 269, 276, 815, 476, 275, 269, 276, 910, 476, 273, 327, 282, 554, 815, 476, 271, 269, 276, 667, 269, 476, 273, 263, 274, 269, 276, 264, 910, 476, 275, 269, 276, 815, 554, 282, 554, 815, 476, 273, 269, 276, 692, 272, 269, 1395, 339, 9418, 326, 14766, 692, 287, 28926, 13892, 692, 273, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 1607, 3018, 646, 887, 1372, 585, 476, 274, 269, 276, 3108, 267, 799, 568, 476, 275, 269, 276, 1447, 982, 7466, 519, 1297, 540, 3108, 646, 5249, 18922, 547, 476, 274, 269, 276, 815, 476, 275, 269, 276, 910, 476, 273, 16732, 15893, 540, 3108, 5249, 264, 865, 1018, 568, 707, 3830, 2496, 274, 269, 1395, 339, 9418, 326, 14766, 692, 529, 621, 589, 2496, 275, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 7224, 602, 781, 11234, 692, 276, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 516, 2897, 834, 15893, 540, 3108, 5249, 257, 609, 834, 327, 5016, 277, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 9767, 666, 798, 713, 1317, 596, 1500, 554, 815, 1297, 540, 3108, 5249, 692, 278, 269, 1395, 339, 9418, 326, 14766, 692, 7717, 787, 594, 5921, 645, 269, 594, 4769, 1405, 1611, 547, 2161, 589, 780, 279, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 321, 13512, 267, 5079, 645, 543, 667, 616, 9838, 568, 713, 513, 1462, 334, 2496, 280, 269, 1395, 339, 9418, 326, 14766, 692, 1015, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 758, 1775, 1294, 1141, 519, 1483, 2626, 568, 1631, 692, 1556, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 527, 1058, 581, 476, 274, 269, 276, 815, 476, 273, 16732, 15893, 540, 3108, 5249, 264, 910, 476, 275, 269, 276, 692, 1321, 269, 1395, 339, 9418, 326, 14766, 692, 290, 2439, 1724, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 322, 8091, 692, 1691, 269, 1395, 339, 9418, 326, 14766, 692, 291, 836, 269, 1775, 729, 2469, 547, 2161, 602, 3079, 540, 645, 269, 1775, 3893, 782, 519, 5022, 11821, 269, 8729, 585, 7713, 2439, 1428, 269, 795, 574, 318, 628, 15106, 6795, 272, 271, 692, 344, 342, 0, 278, 454, 276, 454, 280, 454, 280, 454, 279, 454, 275, 454, 277, 454, 274, 454, 274, 454, 275, 454, 273, 454, 276, 454, 279, 454, 280, 454, 273, 454, 278, 454, 275, 454, 279, 454, 280, 454, 273, 454, 272, 454, 276, 454, 278, 692, 1607, 14181, 18602, 10658, 14794, 814, 476, 6924, 3268, 543, 621, 568, 12193, 1210, 26726, 17266, 267, 700, 18088, 15443, 573, 919, 7392, 476, 272, 630, 11592, 532, 1070, 700, 18088, 15443, 573, 919, 7392, 476, 273, 630, 5141, 2727, 532, 1070, 715, 8898, 10222, 921, 267, 3768, 18249, 267, 4787, 903, 28755, 704, 267, 23120, 715, 823, 31230, 267, 2598, 11666, 6681, 715, 823, 31230, 267, 715, 8898, 17266, 267, 9509, 5600, 2553, 780, 2521, 1677, 16534, 901, 10658, 14794, 692, 1012, 8827, 17778, 1384, 272, 269, 18007, 476, 275, 1315, 28758, 476, 277, 9890, 476, 280, 630, 295, 5200, 17266, 994, 273, 269, 18007, 476, 272, 1315, 28758, 476, 272, 9890, 476, 275, 630, 295, 5200, 17266, 994, 274, 269, 18007, 476, 278, 1315, 28758, 476, 275, 9890, 476, 276, 630, 295, 5200, 17266, 994, 275, 269, 18007, 476, 276, 1315, 28758, 476, 273, 9890, 476, 280, 630, 295, 5200, 17266, 994, 276, 269, 18007, 476, 280, 1315, 28758, 476, 274, 9890, 476, 276, 630, 295, 5200, 17266, 994, 277, 269, 18007, 476, 278, 1315, 28758, 476, 276, 9890, 476, 278, 630, 295, 5200, 17266, 994, 278, 269, 18007, 476, 276, 1315, 28758, 476, 276, 9890, 476, 275, 630, 295, 5200, 17266, 994, 279, 269, 18007, 476, 279, 1315, 28758, 476, 275, 9890, 476, 275, 630, 295, 5200, 17266, 994, 280, 269, 18007, 476, 277, 1315, 28758, 476, 276, 9890, 476, 279, 630, 295, 5200, 17266, 994, 1015, 269, 700, 18088, 15443, 573, 919, 7392, 476, 272, 630, 11592, 532, 2567, 476, 278, 538, 536, 273, 18092, 678, 273, 322, 278, 283, 285, 278, 454, 1556, 269, 700, 18088, 15443, 573, 919, 7392, 476, 272, 630, 11592, 532, 2567, 476, 272, 538, 536, 276, 18092, 678, 273, 322, 275, 283, 285, 272, 454, 1321, 269, 700, 18088, 15443, 573, 919, 7392, 476, 273, 630, 5141, 2727, 532, 2567, 476, 274, 538, 524, 275, 18092, 678, 277, 322, 277, 283, 285, 274, 454, 1724, 269, 715, 8898, 10222, 921, 281, 476, 272, 267, 276, 267, 277, 538, 678, 275, 322, 2537, 267, 337, 277, 322, 273, 18092, 678, 276, 322, 1724, 267, 337, 277, 322, 272, 283, 285, 272, 267, 678, 276, 322, 1724, 267, 337, 277, 322, 272, 283, 285, 277, 454, 1691, 269, 2473, 8862, 532, 281, 476, 279, 524, 2764, 678, 2764, 18092, 678, 279, 322, 272, 283, 285, 279, 454, 1428, 269, 4787, 903, 28755, 704, 281, 476, 274, 538, 678, 272, 322, 277, 267, 337, 274, 322, 273, 630, 8588, 676, 678, 279, 322, 2918, 264, 18092, 678 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12024, 782, 6280, 3594, 267, 519, 2296, 1957, 3340, 2565, 2219, 543, 3532, 4661, 566, 267, 855, 922, 2285, 3007, 547, 1893, 543, 2673, 21849, 2079, 2306, 621, 2189, 269, 9956, 779, 16077, 568, 519, 2063, 630, 663, 20125, 264, 540, 519, 476, 274, 1804, 16520, 5811, 10390, 9956, 534, 15824, 602, 1142, 1164, 1153, 20194, 14509, 4505, 982, 30134, 618, 269, 6145, 519, 14230, 540, 5261, 9956, 779, 32333, 267, 621, 568, 28077, 609, 1713, 4798, 543, 5396, 585, 5339, 2079, 3594, 563, 5978, 3028, 5531, 338, 606, 5863, 2594, 540, 4081, 5830, 945, 723, 2157, 538, 9867, 4610, 540, 1702, 269, 1358, 917, 519, 15116, 885, 540, 3872, 1603, 267, 865, 707, 1957, 1522, 16520, 4828, 581, 23182, 3146, 572, 2117, 1117, 543, 723, 606, 10858, 3898, 543, 2511, 269, 9521, 1114, 1603, 2533, 267, 649, 786, 3382, 18374, 1022, 1888, 543, 1957, 4990, 563, 16521, 519, 16520, 4828, 5149, 609, 519, 25642, 661, 1504, 13268, 538, 2013, 707, 5399, 3085, 1406, 2907, 1331, 519, 21927, 5931, 26518, 1369, 519, 5149, 269, 1403, 596, 798, 711, 12726, 16520, 5811, 4828, 1616, 519, 4123, 19545, 3640, 267, 6718, 519, 16520, 4828, 5149, 1510, 519, 11780, 661, 26247, 13268, 630, 553, 8810, 538, 713, 1587, 22753, 1916, 7659, 7600, 4997, 1280, 1557, 5439, 21661, 634, 2974, 320, 454, 20329, 15351, 24608, 9880, 568, 5339, 9880, 16135, 538, 25164, 24608, 2856, 540, 519, 13653, 540, 25164, 4519, 267, 590, 10176, 1495, 22506, 630, 6977, 277, 268, 4350, 280, 1040, 31943, 619, 2119, 543, 25164, 3315, 2763, 519, 5856, 779, 17499, 16858, 267, 519, 5467, 779, 6114, 267, 543, 519, 3197, 538, 519, 960, 269, 634, 3803, 1935, 14122, 8524, 532, 519, 1257, 585, 6698, 543, 5626, 23838, 269, 769, 1840, 547, 22506, 267, 1883, 5515, 616, 31897, 14161, 28044, 543, 267, 1034, 5063, 267, 10496, 13196, 30086, 534, 563, 13014, 1142, 1377, 540, 519, 5581, 538, 513, 1935, 602, 621, 20781, 547, 835, 540, 1082, 2055, 799, 786, 2408, 1247, 7234, 519, 6074, 4062, 540, 3332, 269, 1323, 7650, 2337, 547, 7866, 519, 10616, 538, 2278, 779, 1702, 269, 3962, 8559, 32302, 513, 20194, 589, 16520, 5811, 2115, 547, 2932, 3063, 2079, 547, 1205, 519, 3435, 547, 3875, 1898, 2055, 269, 1684, 711, 1376, 7722, 593, 606, 7650, 1510, 4974, 519, 21249, 19875, 538, 3877, 563, 7212, 2141, 5059, 2390, 6268, 267, 713, 2511, 540, 3594, 666, 2039, 14916, 538, 922, 5921, 9458, 267, 2769, 5301, 267, 543, 5697, 2409, 610, 4485, 269, 2659, 13588, 786, 1034, 1419, 581, 513, 4999, 540, 707, 2852, 2828, 543, 707, 7548, 4433, 1040, 16480, 267, 621, 1223, 10123, 7854, 5339, 5640, 538, 2013, 596, 616, 4058, 547, 1699, 707, 21849, 1543, 693, 513, 5339, 10554, 610, 10505, 707, 21849, 1543, 547, 513, 4760, 585, 7156, 585, 8313, 269, 16520, 9382, 949, 849, 4196, 1028, 9285, 5301, 585, 1312, 519, 2278, 543, 519, 5467, 269, 932, 1734, 616, 596, 3580, 2328, 610, 1451, 5097, 547, 3605, 519, 1257, 3294, 585, 3606, 4030, 267, 547, 8858, 707, 2143, 1344, 540, 519, 21849, 1543, 547, 707, 13588, 267, 547, 1826, 610, 13498, 606, 4661, 513, 7008, 540, 1880, 4480, 547, 1224, 519, 1257, 267, 610, 547, 1118, 4296, 547, 824, 1568, 540, 3332, 610, 6436, 540, 5339, 1382, 543, 865, 8521, 563, 2467, 779, 606, 3970, 1652, 1297, 540, 1114, 1557, 6927, 799, 1223, 581, 9916, 269, 769, 519, 2680, 596, 3494, 602, 596, 4076, 3893, 2798, 2059, 609, 707, 10763, 1557, 267, 1810, 1406, 16520, 5811, 4828, 12726, 19292, 547, 3346, 5345, 1211, 569, 267, 1603, 606, 1557, 609, 4704, 547, 17089, 568, 3274, 1932, 2596, 269, 898, 568, 849, 4847, 865, 602, 596, 666, 18220, 930, 4282, 9623, 4143, 547, 519, 3332, 2511, 610, 547, 519, 17082, 540, 519, 4062, 596, 2461, 7421, 563, 18184, 1841, 1280, 8056, 18957, 10298, 769, 1557, 5439, 454, 14738, 1934, 267, 649, 786, 723, 513, 1413, 693, 606, 4806, 2079, 540, 654, 9801, 532, 1261, 2074, 543, 1353, 835, 540, 519, 5339, 4559, 602, 17588, 974, 3096, 547, 1118, 621, 513, 17512, 881, 1650, 281, 1273, 4854, 2887, 2329, 269, 4793, 4854, 2887, 2329, 568, 950, 519, 4365, 610, 2470, 20475, 519, 4664, 540, 519, 3197, 269, 901, 2079, 568, 10156, 982, 596, 616, 17191, 547, 798, 267, 865, 1118, 2386, 547, 9784, 3063, 1880, 338, 610, 2188, 538, 707, 1378, 9382, 563, 23945, 519, 942, 5265, 269, 898, 779, 1455, 547, 711, 723, 6190, 942, 547, 1451, 676, 782, 519, 3332, 269, 5269, 513, 1544, 585, 519, 1259, 513, 2603, 596, 7654, 666, 581, 6026, 538, 513, 1554, 267, 543, 6414, 5339, 2079, 4367, 609, 621, 269, 1284, 4363, 2542, 519, 10372, 2451, 676, 1346, 602, 6836, 938, 1557, 1603, 3028, 269, 1452, 8292, 786, 5351, 596, 1118, 513, 14656, 3375, 563, 8855, 281, 2290, 5037, 12217, 835, 2219, 269, 13693, 513, 5339, 2079, 1557, 3236, 585, 3308, 23456, 593, 875, 621, 779, 5963, 12913, 269, 634, 6240, 3483, 540, 519, 12830, 16520, 5811, 7151, 4284, 1664, 568, 547, 1397, 707, 19080, 1318, 610, 5667, 340, 3386, 269, 12315, 4396, 19577, 269, 3776, 9952, 5830, 666, 2347, 1022, 1788, 267, 7488, 540, 2339, 267, 7411, 267, 610, 21120, 269, 0, 16675, 1657, 3033, 22534, 540, 519, 21263, 12443, 339, 5341, 636, 620, 11017, 636, 670, 539, 342, 1421, 3395, 593, 519, 512, 1495, 571, 693, 8672, 4446, 992, 267, 14522, 267, 941, 6534, 547, 476, 1691, 4596, 273, 538, 519, 2361, 269, 4201, 528, 14508, 2762, 543, 7766, 10203, 7000, 4776, 22460, 6037, 6327, 540, 519, 13042, 7135, 883, 1007, 2630, 3033, 22534, 16109, 689, 519, 3573, 11895, 6565, 1062, 269, 10738, 476, 2190, 554, 782, 6565, 1949, 13939, 1185, 1044, 13042, 2429, 267, 513, 5021, 3845, 540, 476, 278, 269, 276, 4699, 1373, 4988, 538, 713, 942, 267, 10834, 5934, 3928, 540, 476, 274, 269, 272, 6515, 554, 6629, 272, 16638, 920, 1162, 538, 519, 1297, 540, 1007, 22534, 1657, 3033, 2429, 519, 4005, 7000, 519, 6708, 543, 2956, 540, 713, 6037, 6327, 269, 26735, 622, 12508, 540, 12119, 2208, 13087, 6502, 540, 519, 22534, 693, 1079, 4609, 547, 581, 5462, 543, 849, 519, 6502, 540, 22534, 693, 2504, 540, 13708, 564, 836, 807, 538, 513, 3791, 3135, 1141, 2927, 1746, 729, 1455, 269, 634, 3448, 6337, 24678, 3928, 540, 519, 20422, 12405, 685, 2208, 941, 849, 5462, 267, 543, 4951, 602, 676, 519, 476, 274, 6113, 1032, 519, 6337, 24678, 4390, 1185, 12628, 547, 827, 476, 2412, 260, 540, 602, 538, 519, 21836, 5160, 593, 519, 1482, 9496, 7868, 3270, 540, 2208, 543, 6037, 6327, 540, 6337, 2106, 628, 622, 538, 12443, 339, 5341, 636, 620, 11017, 636, 616, 5941, 538, 6935, 547, 6668, 593, 519, 512, 1495, 320, 269, 0, 2237, 513, 28162, 1982, 547, 2638, 2436, 519, 9411, 1297, 568, 2318, 610, 2942, 563, 297, 6072, 14691, 910, 9978, 5358, 454, 26161, 568, 513, 4015, 540, 2147, 1826, 540, 2609, 602, 723, 513, 733, 27631, 3965, 4087, 563, 297, 6072, 5044, 568, 606, 1843, 799, 3568, 2609, 540, 513, 2147, 1239, 1826, 269, 898, 568, 513, 1239, 2497, 1141, 649, 4558, 2147, 2609, 269, 1284, 666, 4558, 1152, 513, 6378, 1305, 540, 2609, 538, 513, 10084, 5044, 563, 297, 6072, 9978, 14691, 281, 17943, 540, 28162, 454, 2237, 513, 28162, 1982, 547, 1820, 13532, 543, 10101, 6606, 1775, 4318, 269, 950, 3593, 13788, 513, 1871, 585, 608, 476, 1015, 269, 276, 519, 3977, 1058, 2097, 476, 1015, 11899, 543, 454, 2237, 513, 28162, 1982, 547, 6460, 513, 2016, 1297, 540, 2395, 538, 2474, 540, 1296, 267, 3275, 543, 2395, 563, 2237, 513, 28162, 1982, 547, 1265, 1297, 540, 476, 1911, 271, 267, 4335, 267, 1911, 267, 2004, 267, 736, 267, 1015, 267, 276, 267, 272, 8297, 701, 324, 4967, 269, 0, 268, 1772, 3109, 513, 2681, 888, 268, 1548, 1281, 2681, 3109, 1611, 538, 519, 6426, 888, 268, 1772, 621, 1055, 3043, 610, 3368, 3043, 888, 268, 1548, 10902, 568, 3109, 888, 268, 1548, 1826, 540, 2262, 568, 3109, 888, 268, 1772, 3109, 543, 3043, 513, 10902, 888, 268, 1548, 568, 519, 8231, 540, 3109, 888, 268, 2052, 3109, 581, 1031, 607, 513, 10902, 888, 268, 1548, 568, 621, 1572, 950, 1945, 568, 3109, 543, 3043, 888, 268, 1548, 568, 519, 4158, 652, 12094, 540, 3109, 888, 268, 1772, 3043, 782, 4778, 5916, 888, 268, 1772, 519, 2681, 3043, 513, 10902, 888, 268, 1548, 568, 513, 3043, 888, 268, 1548, 568, 519, 4214, 540, 7385, 888, 268, 1548, 568, 1776, 2262, 585, 3109, 543, 3043, 3206, 888, 268, 1772, 972, 513, 3109, 8675, 888, 268, 1772, 3109, 513, 18781, 2262, 888, 268, 1772, 24321, 312, 513, 2681, 888, 3674, 3109, 513, 2681, 888, 14937, 568, 519, 9000, 540, 1769, 563, 5278, 2015, 3043, 547, 581, 513, 2681, 267, 1317, 3043, 1769, 13408, 782, 24698, 593, 519, 7298, 1769, 8552, 563, 4517, 1082, 798, 2015, 3109, 547, 581, 513, 2681, 267, 1317, 596, 9192, 824, 23416, 547, 1711, 621, 593, 1957, 563, 3719, 538, 513, 2930, 2631, 267, 3109, 543, 3043, 616, 711, 4778, 267, 789, 2461, 18707, 10756, 1432, 1281, 2681, 3109, 1611, 538, 519, 6426, 888, 1103, 519, 4168, 13513, 267, 621, 18575, 10513, 13336, 269, 898, 568, 519, 2681, 540, 19999, 1815, 739, 269, 4563, 269, 590, 4660, 547, 2099, 519, 6207, 267, 1526, 3599, 267, 552, 1181, 640, 610, 519, 27042, 267, 3109, 949, 849, 20301, 2669, 267, 4250, 543, 22293, 563, 3674, 621, 1055, 3043, 610, 3368, 3043, 888, 24868, 725, 540, 3043, 1331, 1018, 616, 4122, 17941, 1055, 22554, 4778, 267, 799, 949, 581, 2808, 851, 540, 513, 9243, 2681, 10325, 269, 2560, 769, 2681, 3069, 267, 513, 12094, 568, 513, 6986, 2681, 6404, 609, 3109, 630, 528, 2348, 513, 2539, 1769, 1145, 1040, 853, 2774, 569, 6340, 267, 513, 968, 3333, 1228, 540, 3043, 892, 1131, 581, 513, 9243, 15454, 563, 1432, 10902, 568, 3109, 888, 18872, 18781, 267, 10902, 1496, 308, 316, 630, 4596, 299, 3036, 264, 630, 1993, 264, 519, 4158, 652, 2681, 972, 568, 267, 899, 3781, 281, 1261, 729, 21039, 782, 538, 3109, 269, 4563, 6995, 610, 7401, 814, 1100, 5144, 610, 8645, 538, 621, 563, 1432, 1826, 540, 2262, 568, 3109, 888, 18872, 26479, 543, 14271, 11618, 18781, 18872, 1260, 1706, 894, 18872, 619, 10967, 331, 894, 18872, 652, 454, 3674, 3109, 543, 3043, 513, 10902, 888, 18872, 1700, 663, 1700, 19990, 630, 611, 11187, 264, 3109, 1700, 663, 1700, 19009, 630, 611, 11187, 264, 2560, 3109, 1700, 339, 773, 630, 611, 11187, 264, 3109, 543, 3043, 630, 29825, 994, 1432, 568, 519, 8231, 540, 3109, 888, 2414, 1118, 3109, 267, 547, 3109, 523, 269, 1677, 4019, 3109, 532, 547, 1945, 563, 4692, 3109, 581, 1031, 607, 513, 10902, 888, 2108, 14937, 892, 568, 1455, 607, 606, 18781, 2443, 968, 1492, 1101, 3109, 7022, 892, 2443, 855, 607, 513, 10902, 267, 621, 568, 811, 1455, 547, 946, 968, 534, 3979, 12677, 1848, 1717, 267, 621, 5526, 602, 968, 320, 3109, 892, 568, 711, 1152, 9516, 676, 519, 25204, 6199, 2511, 3391, 267, 855, 2838, 563, 1432, 568, 621, 1572, 950, 1945, 568, 3109, 543, 3043, 888, 763, 2165, 1395, 5255, 4435, 2501, 689, 519, 9147, 5259, 281, 13179, 14267, 14832, 32703, 395, 485, 16708, 22886, 19031, 14267, 19084, 267, 19005, 1242, 281, 1395, 29614, 657, 267, 1396, 269, 2048, 327, 3058, 835, 2681, 9957, 589, 1395, 29614, 1738, 1843, 610, 3239, 9356, 4778, 538, 18707, 540, 3908, 4778, 610, 24698, 269, 16103, 1210, 1152, 18707, 540, 15454, 630, 5976, 610, 1510, 3109, 610, 3043, 264, 616, 1572, 1178, 903, 7051, 610, 3109, 7146, 22554, 563, 1432, 568, 519, 4158, 652, 12094, 540, 3109, 888, 309, 656, 629, 331, 871, 25309, 476, 4200, 260, 540, 1769, 267, 1818, 621, 519, 4158, 652, 20119, 593, 3047, 563, 3674, 3043, 782, 4778, 5916, 888, 19669, 1769, 568, 513, 4999, 540, 782, 4778, 538, 519, 2681, 8552, 269, 898, 814, 782, 519, 4778, 540, 519, 22774, 269, 26157, 3119, 4778, 540, 1769, 899, 2699, 267, 4544, 267, 543, 3039, 5932, 6281, 4778, 281, 5835, 267, 19826, 267, 543, 4012, 31980, 563, 3674, 519, 2681, 3043, 513, 10902, 888, 19009, 10902, 630, 4596, 299, 3036, 994, 1432, 568, 513, 3043, 888, 19669, 568, 519, 1769, 652, 2681, 543, 568, 513, 577, 668, 1738, 630, 327, 3058, 1100, 27280, 1040, 898, 568, 519, 2681, 540, 4195 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 799, 6318, 519, 13258, 540, 5137, 540, 19844, 269, 634, 1614, 2553, 2168, 267, 7623, 267, 543, 5214, 2994, 616, 8246, 538, 519, 5910, 13015, 540, 519, 13947, 269, 23239, 13015, 568, 2944, 547, 1184, 519, 31429, 334, 3250, 21695, 547, 5838, 1447, 1950, 14836, 602, 616, 10123, 4957, 936, 883, 6915, 996, 12935, 269, 634, 2067, 2553, 585, 2126, 9001, 14471, 616, 10357, 14092, 5570, 617, 908, 543, 3132, 2973, 4492, 267, 1851, 782, 7103, 15495, 666, 7654, 1689, 936, 973, 531, 31842, 7847, 883, 4443, 14836, 998, 679, 9195, 1738, 543, 29230, 6776, 2994, 269, 634, 4527, 540, 519, 679, 9195, 1738, 5943, 538, 519, 1332, 2195, 25361, 538, 607, 519, 19539, 540, 519, 8734, 334, 7623, 28326, 13607, 585, 519, 4466, 540, 909, 7146, 10687, 619, 540, 519, 3940, 547, 1184, 31429, 334, 3250, 592, 4680, 267, 6464, 899, 22331, 1162, 267, 561, 3147, 848, 267, 646, 6193, 749, 592, 1162, 267, 31429, 514, 1162, 267, 533, 24514, 1162, 1404, 513, 14849, 538, 519, 10338, 540, 519, 973, 531, 31842, 7847, 13947, 269, 634, 6631, 2329, 540, 513, 2067, 5910, 13015, 568, 6417, 676, 513, 1906, 3334, 899, 4062, 540, 13947, 267, 26912, 4918, 30651, 267, 2011, 10009, 2557, 267, 14927, 1145, 1543, 267, 554, 10248, 942, 267, 2156, 5317, 2837, 267, 9063, 267, 543, 519, 7103, 2249, 3769, 269, 634, 1034, 1134, 268, 1634, 5057, 540, 5910, 13015, 568, 13890, 563, 13640, 553, 2572, 723, 606, 2500, 29230, 6776, 5943, 19579, 547, 1689, 936, 31429, 334, 3250, 592, 657, 545, 1570, 547, 4909, 31571, 585, 1646, 269, 15380, 267, 891, 15495, 12520, 6464, 267, 1519, 1591, 592, 1162, 630, 3250, 984, 1470, 5139, 1503, 1162, 267, 1439, 13709, 1075, 534, 1162, 1070, 646, 6193, 749, 592, 1162, 630, 343, 2643, 534, 1162, 264, 543, 16061, 3766, 569, 6523, 573, 1162, 269, 1306, 2484, 607, 18463, 7279, 267, 1719, 568, 10704, 1472, 711, 1175, 12423, 7135, 799, 1223, 5094, 31429, 334, 3250, 21695, 3648, 811, 3533, 267, 2943, 10123, 5946, 799, 1223, 16641, 9063, 267, 2837, 543, 7409, 7480, 12665, 269, 6154, 752, 12490, 540, 2558, 747, 25866, 320, 556, 3150, 328, 723, 1044, 6074, 602, 3132, 29414, 1591, 592, 1162, 909, 547, 476, 3374, 575, 269, 898, 814, 1044, 6069, 602, 9750, 519, 1880, 18463, 3350, 568, 519, 1034, 21483, 1259, 547, 4308, 609, 2324, 593, 519, 1870, 7399, 540, 31429, 334, 3250, 21695, 29230, 3974, 563, 290, 2787, 281, 5096, 344, 589, 630, 1708, 272, 264, 21954, 18341, 566, 540, 16581, 17904, 676, 674, 2426, 328, 269, 808, 4437, 648, 9712, 520, 21954, 18341, 476, 1321, 281, 552, 19740, 20396, 281, 476, 1015, 269, 275, 1704, 273, 270, 21497, 276, 268, 277, 866, 280, 269, 1911, 271, 324, 19740, 454, 15648, 281, 9736, 476, 1708, 272, 5096, 344, 589, 269, 901, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 15675, 707, 1893, 540, 1719, 547, 2070, 519, 2698, 1543, 538, 707, 5461, 1893, 454, 18704, 901, 9137, 454, 15411, 7457, 4260, 11594, 454, 268, 11192, 5784, 281, 476, 12893, 279, 454, 268, 1496, 5804, 9638, 3016, 566, 4266, 2567, 476, 271, 268, 271, 910, 2904, 476, 1839, 267, 476, 1708, 273, 2639, 268, 16505, 6658, 676, 2070, 1826, 454, 268, 14103, 2985, 5784, 281, 476, 279, 7830, 454, 268, 7300, 28085, 281, 476, 30640, 0, 299, 294, 6630, 3778, 13600, 3217, 1747, 538, 519, 5177, 538, 5988, 543, 6663, 547, 3895, 10892, 543, 6318, 4656, 540, 519, 28639, 5185, 676, 24139, 267, 14447, 267, 25251, 543, 19574, 1004, 563, 1103, 513, 2487, 1382, 676, 519, 4077, 640, 12942, 13665, 912, 1103, 713, 2376, 649, 13713, 1413, 693, 519, 4027, 602, 519, 25734, 2920, 267, 799, 2968, 1876, 476, 1015, 1296, 3516, 267, 2488, 547, 2043, 945, 2697, 607, 10349, 266, 563, 763, 25734, 2920, 14014, 1004, 1996, 7130, 1317, 540, 513, 6870, 8984, 269, 7201, 519, 25734, 2920, 267, 972, 616, 8370, 6870, 4162, 912, 32715, 4315, 543, 4600, 1927, 609, 2043, 945, 616, 1582, 15041, 23903, 3246, 741, 1378, 7694, 4579, 8078, 525, 873, 547, 1106, 519, 960, 13948, 723, 519, 1318, 711, 547, 581, 5806, 3990, 1996, 267, 3771, 21724, 610, 6408, 2213, 563, 763, 25734, 2920, 849, 6227, 2127, 3544, 540, 519, 7694, 2361, 971, 607, 2069, 267, 519, 11865, 540, 5370, 543, 2533, 267, 8027, 543, 519, 11865, 540, 2533, 5645, 856, 676, 1857, 8128, 563, 2467, 568, 1100, 27216, 1974, 540, 7694, 2838, 547, 11654, 513, 7130, 3409, 538, 519, 25477, 17650, 26915, 563, 763, 25734, 543, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 948, 2685, 2488, 519, 1739, 454, 29189, 783, 10066, 568, 513, 6870, 8984, 269, 898, 1797, 513, 1268, 779, 4638, 10066, 2509, 912, 11825, 976, 540, 519, 1482, 3023, 630, 7474, 568, 267, 519, 1268, 568, 513, 14447, 812, 610, 513, 24139, 11850, 11825, 976, 540, 519, 6587, 3023, 630, 7474, 568, 267, 519, 1268, 568, 10636, 18400, 5148, 610, 454, 11825, 976, 540, 2901, 3023, 630, 7474, 568, 267, 519, 1268, 568, 25251, 1916, 763, 4027, 896, 519, 25734, 2920, 2882, 875, 1004, 1745, 607, 1134, 607, 741, 3527, 269, 898, 666, 1331, 2576, 779, 5920, 282, 519, 4025, 789, 3643, 610, 519, 1004, 789, 12314, 609, 563, 29638, 15260, 9892, 568, 513, 5094, 6870, 8984, 543, 20775, 547, 4638, 10066, 269, 634, 25734, 2920, 11225, 4008, 15260, 9892, 607, 1004, 945, 616, 3981, 532, 547, 10929, 267, 616, 18460, 267, 610, 723, 22734, 513, 1184, 630, 528, 851, 540, 513, 1184, 264, 547, 15260, 793, 741, 3023, 676, 4657, 12214, 610, 824, 10305, 540, 3023, 547, 723, 519, 6870, 8984, 540, 4008, 15260, 9892, 563, 2252, 513, 1098, 25757, 11832, 568, 15534, 689, 960, 1317, 540, 4008, 15260, 9892, 267, 621, 568, 796, 32016, 547, 1521, 873, 1447, 7957, 2227, 29087, 982, 789, 1131, 581, 5701, 952, 789, 941, 15534, 1813, 547, 606, 4576, 610, 5945, 563, 17445, 543, 9940, 7130, 454, 11577, 19303, 666, 581, 1463, 610, 9940, 269, 1323, 1367, 949, 849, 1265, 2933, 1373, 3771, 21724, 610, 6408, 2213, 269, 4033, 982, 2085, 7130, 267, 1463, 7130, 3112, 581, 1843, 1947, 20582, 563, 2304, 1383, 540, 1463, 7130, 689, 519, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 281, 568, 513, 5205, 912, 4263, 513, 2816, 5967, 267, 606, 32358, 19528, 1352, 814, 513, 1482, 3023, 7649, 269, 4014, 1352, 568, 519, 1034, 11727, 11134, 267, 519, 16108, 16976, 711, 547, 2709, 1200, 519, 2816, 269, 901, 3375, 13000, 1200, 1447, 7957, 2227, 29087, 982, 519, 3811, 11134, 267, 945, 568, 513, 10636, 18400, 4807, 269, 1403, 519, 1447, 7957, 24461, 2126, 540, 519, 28336, 32358, 568, 1317, 540, 1200, 4638, 10066, 267, 713, 1131, 2179, 547, 1463, 7130, 563, 288, 6455, 30513, 28279, 1200, 16108, 602, 1352, 30242, 547, 6108, 519, 1964, 540, 1200, 1272, 2713, 607, 513, 812, 269, 1306, 513, 1267, 540, 713, 267, 1352, 568, 1629, 6838, 547, 513, 1909, 1510, 7817, 3346, 269, 634, 16108, 4679, 1200, 14057, 547, 1118, 909, 585, 519, 2530, 540, 2816, 4567, 269, 6736, 519, 2333, 538, 2628, 267, 519, 1629, 10056, 786, 13822, 1447, 7957, 24461, 2126, 1317, 540, 4008, 15260, 9892, 563, 2662, 12241, 1463, 7130, 1869, 4386, 267, 621, 568, 5051, 1447, 1455, 538, 519, 7694, 2361, 269, 2859, 1419, 982, 711, 267, 5520, 610, 4600, 7682, 602, 789, 723, 1044, 1641, 547, 9940, 7130, 269, 9940, 7130, 949, 2049, 950, 606, 16108, 10039, 606, 15151, 9243, 11865, 267, 21205, 610, 2259, 799, 12662, 4600, 4687, 513, 6870, 8984, 693, 513, 1880, 19319, 563, 14300, 540, 9940, 7130, 689, 519, 543, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 616, 607, 5205, 912, 2304, 16108, 6238, 606, 15632, 8400, 585, 1007, 5234, 609, 606, 4672, 22249, 6033, 2966, 547, 6338, 3025, 538, 519, 4055, 547, 519, 1866, 269, 3962, 11832, 568, 2838, 547, 1683, 513, 4605, 540, 2933, 607, 513, 22525, 269, 2290, 11832, 568, 513, 1098, 25757, 4807, 945, 1281, 711, 6999, 1200, 9164, 547, 917, 602, 1352, 729, 4547, 909, 607, 513, 7911, 269, 1879, 1352, 1281, 711, 3142, 538, 1200, 8666, 267, 519, 16108, 10404, 2478, 1200, 538, 4395, 540, 519, 1895, 585, 711, 11836, 538, 269, 898, 1131, 581, 1100, 20237, 602, 621, 1705, 711, 2049, 547, 519, 16108, 602, 713, 11832, 949, 1745, 27797, 676, 519, 10421, 547, 30035, 971, 1344, 563, 2304, 16108, 16976, 711, 547, 6166, 513, 1098, 25757, 9441, 779, 7694, 693, 519, 1439, 540, 513, 3670, 3275, 685, 2625, 566, 776, 1974, 1317, 540, 1010, 4057, 2773, 269, 634, 9441, 568, 18867, 25323, 269, 8616, 267, 693, 519, 1482, 942, 267, 519, 16108, 11498, 676, 1614, 3275, 519, 2625, 566, 776, 1974, 540, 513, 1875, 20675, 25757, 9441, 945, 814, 849, 711, 1044, 7900, 547, 3044, 269, 901, 1223, 2179, 547, 1463, 7130, 1317, 540, 4008, 15260, 9892, 267, 1303, 527, 1782, 519, 25323, 9441, 547, 3142, 513, 3409, 547, 519, 25477, 17650, 26915, 563, 2026, 7074, 1657, 606, 1367, 1223, 849, 1265, 2933, 1641, 547, 18275, 269, 4498, 14536, 4386, 950, 513, 1268, 22851, 538, 13311, 2932, 799, 568, 1644, 547, 513, 4143, 6870, 8984, 630, 328, 4318, 269, 4638, 10066, 264, 543, 799, 814, 519, 3483, 610, 519, 1198, 540, 3423, 908, 741, 15683, 610, 2870, 606, 25254, 267, 20935, 267, 9714, 532, 267, 1208, 8270, 908, 610, 18086, 1604, 585, 602, 1367, 563, 763, 5274, 7126, 8189, 6465, 21881, 8943, 540, 6657, 2488, 519, 1739, 1383, 912, 288, 11832, 568, 16271, 547, 4630, 2684, 11131, 7333, 614, 543, 2012, 10912, 267, 1256, 1498, 1010, 9164, 917, 646, 568, 711, 14447, 269, 5221, 519, 1106, 540, 519, 6057, 12211, 547, 4638, 10066, 267, 713, 1223, 2179, 547, 18275, 1644, 547, 4638, 10066, 563, 763, 25734, 2920, 849, 14014, 2043, 689, 1373, 6408, 2213, 1317, 789, 723, 585, 1383, 9783, 513, 10645, 896, 519, 25734, 2920, 267, 1500, 606, 14336, 566, 602, 1776, 1268, 814, 2944, 1945, 538, 21556, 540, 519, 25734, 2920, 610, 2016, 2963, 610, 1344, 538, 4276, 609, 18659, 896, 519, 25734, 2920, 563, 2690, 1383, 267, 952, 606, 9441, 2306, 513, 24255, 540, 7130, 593, 12406, 540, 4638, 10066, 1996, 741, 16108, 543, 607, 513, 1267, 789, 616, 17792, 513, 13319, 269, 634, 5821, 547, 3489, 13319, 1131, 581, 606, 957, 540, 6408, 5314, 543, 519, 9441, 1223, 1491, 3656, 2962, 1996, 741, 16108, 693, 519, 25477, 17650, 26915, 563, 6097, 547, 519, 25477, 17650, 684, 1023, 5767, 10116, 569, 7194, 630, 20809, 476, 1001, 280, 1107, 5181, 476, 1001, 280, 1070, 476, 14530, 6811, 585, 7130, 12406, 540, 4638, 10066, 941, 19429, 269, 901, 568, 519, 5207, 4137, 2094, 476, 1001, 274, 563, 1103, 519, 7694, 2361, 267, 1312, 12820, 543, 2043, 666, 1265, 2933, 1373, 22002, 676, 513, 11832, 585, 7130, 267, 18275, 610, 6408, 5314, 269, 14146, 619, 1058, 1118, 2386, 602, 789, 723, 606, 26321, 19662, 8889, 267, 602, 519, 3609, 568, 4553, 543, 602, 782, 5234, 616, 18056, 827, 519, 3609, 593, 513, 2834, 4493, 543, 602, 1022, 21556, 540, 1482, 13054, 30095, 2962, 563, 11073, 2515, 540, 519, 7694, 2361, 267, 1346, 945, 1265, 2933, 1641, 547, 7130, 267, 18275, 540, 6408, 5314, 666, 3343, 2699, 816, 3842, 519, 6019, 7040, 563, 5415, 1344, 2252, 596, 616, 606, 1367, 610, 513, 2754, 543, 596, 6999, 547, 3489, 5796, 593, 519, 25734, 2920, 476, 1001, 271, 267, 707, 2924, 267, 13800, 3092, 1421, 1287, 5225, 798, 711, 19292, 547, 3346, 721, 538, 6015, 269, 901, 2376, 729, 2854, 676, 5981, 13428, 576, 267, 18947, 21133, 538, 519, 25477, 4521, 12243, 693, 18237, 2284, 570, 2788, 712, 323, 700, 10861, 269, 634, 9115, 540, 713, 2376, 616, 585, 519, 5301, 540, 2489, 4656, 1152, 269, 1358, 798, 711, 1625, 1636, 547, 13822, 3656, 610, 3318, 5796, 269, 16930, 3656, 5796, 1058, 581, 3144, 593, 1142, 1367, 2339, 269, 901, 2376, 568, 1759, 593, 519, 1876, 607, 540, 5988, 476, 1708, 271, 269, 0, 1692, 1677, 24953, 5455, 6969, 26121, 2443, 476, 276, 18826, 13705, 710, 454, 6524, 4881, 267, 946, 6422, 15198, 547, 19334, 707, 10549, 543, 6091, 269, 3680, 11979, 15198, 282, 621, 666, 2014, 7063, 543, 1118, 596, 2196, 14887, 563, 9359, 707 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2291, 2496, 273, 264, 1280, 1142, 540, 891, 2418, 3313, 519, 4399, 3916, 315, 3916, 1080, 3709, 343, 29540, 513, 348, 535, 3287, 22491, 8894, 7312, 1101, 2243, 3085, 1405, 1118, 1022, 2631, 269, 7490, 2491, 2417, 269, 1107, 1109, 293, 569, 676, 13957, 4119, 476, 2420, 1412, 1724, 693, 476, 1724, 281, 1789, 454, 296, 3773, 930, 3063, 9623, 7711, 293, 569, 2421, 301, 697, 1107, 1109, 294, 327, 9926, 339, 4119, 476, 2420, 1412, 1724, 693, 476, 1724, 281, 4097, 692, 28733, 569, 267, 952, 1269, 347, 343, 347, 3436, 476, 272, 8961, 649, 723, 692, 2330, 343, 3867, 273, 348, 1422, 19008, 535, 3287, 264, 1422, 19008, 1535, 3867, 275, 15732, 663, 2094, 1269, 343, 3867, 273, 4151, 543, 1269, 343, 3867, 275, 4151, 1312, 979, 547, 20581, 267, 865, 1281, 1269, 325, 3287, 7751, 780, 2252, 1269, 347, 343, 347, 1422, 19008, 476, 272, 8961, 1287, 692, 2330, 343, 3867, 275, 348, 1422, 19008, 535, 3287, 264, 1422, 19008, 1535, 3867, 273, 15732, 2252, 1269, 347, 343, 347, 815, 476, 272, 8961, 1287, 1269, 343, 3867, 273, 348, 815, 1535, 3867, 275, 348, 815, 476, 272, 259, 543, 8754, 1269, 325, 3287, 264, 815, 476, 272, 16859, 2252, 1269, 347, 343, 347, 2999, 476, 272, 8961, 1287, 1269, 343, 3867, 275, 4151, 543, 1269, 343, 3867, 273, 4151, 1312, 979, 547, 4642, 543, 8754, 865, 1281, 1269, 325, 3287, 7751, 780, 17798, 267, 547, 17412, 10484, 11377, 3916, 315, 3916, 1080, 3709, 347, 343, 24689, 1729, 1422, 13727, 348, 325, 3287, 264, 815, 1422, 13727, 9681, 11377, 3916, 315, 3916, 1080, 3709, 347, 343, 347, 1422, 1729, 476, 271, 348, 535, 3287, 264, 815, 476, 271, 9681, 11377, 3916, 315, 3916, 1080, 3709, 347, 343, 347, 1422, 1729, 476, 272, 348, 325, 3287, 264, 815, 476, 272, 9681, 2690, 824, 2798, 267, 519, 1344, 2016, 568, 711, 6190, 547, 17589, 952, 1269, 325, 259, 814, 513, 3970, 780, 8894, 2005, 2731, 2306, 2631, 1631, 267, 9684, 596, 269, 1107, 1109, 294, 327, 9926, 339, 4119, 476, 2420, 1412, 1724, 693, 476, 1724, 281, 4366, 0, 258, 16387, 692, 288, 4009, 18158, 814, 513, 2627, 1858, 540, 476, 11260, 4009, 6279, 269, 634, 4009, 3490, 814, 2427, 13080, 540, 476, 276, 6279, 269, 4855, 519, 1793, 656, 4463, 540, 519, 18158, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 16318, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 14581, 692, 272, 264, 9717, 519, 2427, 540, 513, 4009, 18158, 568, 476, 277, 9492, 543, 519, 15820, 568, 476, 275, 9492, 5173, 519, 2627, 1858, 269, 476, 273, 264, 9717, 519, 2427, 540, 513, 4009, 18158, 568, 476, 1321, 9492, 543, 519, 15820, 568, 476, 279, 9492, 5173, 519, 2627, 1858, 269, 476, 274, 264, 9717, 519, 2427, 540, 513, 4009, 692, 24216, 676, 9906, 593, 5988, 476, 277, 267, 476, 1220, 278, 454, 273, 269, 12693, 4569, 692, 763, 13675, 10689, 547, 519, 7200, 341, 516, 7467, 538, 8303, 568, 513, 4837, 543, 4496, 18158, 609, 513, 2627, 1858, 540, 5111, 476, 2735, 271, 4009, 593, 1142, 2427, 1547, 634, 3490, 540, 519, 18158, 568, 513, 4009, 602, 568, 476, 3374, 269, 275, 7397, 593, 1142, 2427, 269, 1548, 568, 519, 1793, 656, 692, 24216, 676, 7585, 593, 4989, 476, 273, 267, 476, 1001, 275, 454, 274, 269, 12693, 13878, 295, 670, 5085, 303, 692, 763, 2427, 540, 513, 4009, 568, 8422, 6659, 547, 519, 2947, 30556, 1379, 6279, 269, 4635, 519, 1858, 4542, 589, 815, 521, 273, 267, 3313, 519, 1858, 540, 519, 4009, 269, 901, 568, 519, 2427, 540, 519, 4009, 538, 6824, 263, 274, 317, 276, 270, 273, 264, 589, 815, 476, 280, 4009, 6279, 589, 815, 476, 1428, 4009, 6279, 589, 25883, 24216, 676, 30546, 593, 5412, 476, 1704, 267, 476, 1001, 276, 454, 275, 269, 12693, 2979, 692, 288, 959, 15635, 730, 4009, 18158, 630, 10193, 1634, 607, 513, 2927, 560, 636, 264, 568, 606, 1843, 5833, 676, 5969, 513, 4009, 18158, 676, 513, 7077, 6252, 547, 922, 3490, 630, 553, 3254, 538, 519, 4137, 1040, 1280, 513, 959, 15635, 730, 4009, 18158, 621, 568, 1634, 602, 519, 2427, 3259, 540, 692, 24216, 676, 606, 328, 593, 5988, 476, 2420, 267, 476, 1001, 276, 454, 276, 269, 12693, 16387, 692, 2691, 4466, 519, 2627, 1858, 540, 513, 12432, 4137, 267, 799, 538, 713, 2013, 5161, 540, 513, 4009, 18158, 9361, 593, 1283, 540, 513, 13306, 267, 594, 917, 602, 519, 1101, 1900, 568, 547, 1265, 519, 2627, 1858, 540, 519, 13306, 267, 855, 1310, 602, 594, 1131, 1265, 519, 692, 24216, 676, 32088, 593, 4873, 476, 1724, 267, 476, 1001, 273, 454, 277, 269, 12693, 9978, 4569, 692, 306, 16577, 1858, 540, 513, 4009, 18158, 476, 1556, 514, 476, 1724, 514, 543, 476, 280, 514, 476, 1556, 4463, 476, 1724, 2427, 286, 476, 280, 3490, 6316, 594, 1832, 3478, 519, 4636, 2626, 922, 711, 476, 29044, 269, 7830, 610, 476, 29848, 269, 11152, 12384, 1858, 540, 513, 13409, 476, 1428, 2427, 286, 476, 1321, 4463, 476, 277, 3490, 898, 781, 711, 476, 18458, 269, 4200, 610, 476, 275, 1704, 269, 7830, 594, 1810, 1405, 991, 692, 24216, 676, 22123, 593, 4728, 476, 1704, 267, 476, 1001, 278, 454, 278, 269, 12693, 2979, 692, 763, 2627, 1858, 540, 519, 4279, 30958, 693, 717, 21289, 729, 827, 476, 272, 267, 5392, 277, 267, 280, 3199, 4009, 3952, 950, 621, 729, 3710, 269, 589, 2203, 540, 713, 18158, 814, 513, 2627, 1858, 540, 476, 276, 4200, 4009, 6279, 269, 1018, 568, 519, 4336, 3815, 689, 519, 2203, 547, 519, 4890, 18158, 2496, 24216, 676, 32088, 593, 4728, 476, 2190, 267, 476, 1001, 274, 454, 279, 269, 12693, 2979, 692, 331, 8504, 693, 513, 4009, 18158, 267, 952, 519, 2450, 540, 519, 3490, 3788, 519, 1482, 543, 519, 4463, 540, 519, 18158, 9775, 1018, 616, 519, 5934, 2627, 1858, 543, 5934, 4320, 519, 18158, 666, 723, 286, 634, 3490, 568, 6029, 476, 273, 538, 543, 519, 1899, 593, 519, 692, 24216, 676, 544, 593, 5130, 476, 276, 267, 476, 1001, 272, 454, 280, 269, 12693, 13174, 692, 288, 4009, 24388, 543, 4009, 18158, 723, 519, 1482, 3490, 543, 519, 1482, 2627, 1858, 269, 8058, 602, 519, 1793, 656, 4463, 267, 561, 267, 540, 519, 18158, 568, 561, 284, 276, 270, 273, 1535, 521, 1141, 521, 568, 519, 3259, 540, 519, 3490, 780, 24216, 676, 29593, 1066, 593, 2904, 476, 279, 267, 476, 1001, 278, 454, 1015, 269, 12693, 16387, 692, 272, 1215, 1082, 8188, 1281, 513, 4009, 18158, 723, 286, 476, 273, 1215, 1082, 8728, 1281, 513, 4009, 18158, 723, 286, 476, 274, 1215, 1082, 14622, 1281, 513, 4009, 18158, 723, 286, 2626, 286, 476, 279, 267, 476, 276, 267, 476, 1015, 22870, 783, 1125, 835, 540, 519, 1390, 26829, 540, 5527, 269, 898, 781, 3490, 568, 513, 4009, 543, 621, 692, 24216, 676, 570, 2077, 320, 593, 4728, 476, 1724, 267, 476, 1220, 278, 692, 5415, 5381, 5999 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3848, 7170, 281, 2878, 18693, 665, 520, 3315, 7370, 281, 8111, 12516, 525, 538, 3776, 28064, 22032, 256, 4373, 5970, 596, 2479, 9289, 875, 707, 5172, 10217, 13863, 12897, 616, 1500, 286, 2107, 875, 827, 602, 18241, 4418, 1846, 327, 7398, 596, 2648, 9849, 593, 669, 11035, 2395, 286, 5617, 10079, 621, 610, 711, 267, 972, 781, 513, 4241, 1158, 3330, 891, 4948, 3688, 1572, 2608, 6798, 665, 520, 3315, 7370, 265, 910, 6263, 948, 619, 6508, 689, 2713, 7103, 899, 4551, 267, 13803, 267, 543, 2371, 256, 1452, 27568, 1404, 513, 2629, 1909, 538, 2870, 1919, 649, 946, 3232, 1247, 849, 4543, 1832, 938, 1604, 2973, 543, 2635, 269, 2913, 781, 4685, 883, 741, 9735, 7122, 2439, 5331, 1373, 2111, 547, 1711, 8949, 12897, 1210, 1175, 7912, 267, 4006, 267, 5798, 267, 543, 9059, 8141, 956, 3079, 540, 7423, 269, 16319, 7543, 267, 1318, 286, 1809, 7227, 256, 2060, 519, 1379, 540, 1979, 665, 520, 3315, 7370, 267, 11476, 630, 6518, 616, 2027, 2010, 540, 1979, 665, 520, 3315, 7370, 1070, 666, 2490, 10448, 11041, 883, 6878, 2147, 547, 7423, 269, 901, 1259, 267, 649, 1810, 1405, 991, 4890, 7423, 267, 1818, 938, 12897, 8902, 543, 811, 4264, 269, 1215, 3579, 568, 602, 2496, 3086, 1577, 781, 1589, 827, 707, 635, 325, 344, 4418, 1846, 327, 7398, 269, 9894, 596, 917, 930, 1979, 665, 520, 3315, 7370, 666, 3132, 2571, 267, 3636, 17234, 856, 540, 7791, 2200, 971, 607, 8970, 560, 1105, 610, 824, 2030, 2326, 286, 3502, 1152, 1281, 713, 1184, 4688, 1648, 3379, 547, 2757, 2409, 267, 855, 621, 849, 6971, 3653, 543, 8511, 3154, 5434, 269, 2334, 1797, 7864, 8093, 10173, 14616, 543, 1447, 5533, 538, 938, 2011, 543, 1216, 269, 30474, 5863, 267, 26001, 2496, 3719, 1018, 4010, 616, 1979, 665, 520, 3315, 7370, 267, 543, 1946, 798, 789, 3180, 865, 1454, 1761, 286, 4270, 267, 3274, 2322, 267, 1979, 665, 520, 3315, 7370, 616, 6675, 1336, 538, 782, 2713, 7919, 602, 3432, 909, 3114, 6547, 269, 1358, 960, 13974, 547, 875, 27857, 1599, 538, 6517, 282, 1312, 2569, 5739, 676, 335, 20094, 543, 2333, 4398, 269, 1635, 13147, 10107, 610, 7393, 2067, 3157, 998, 2029, 543, 4702, 267, 3744, 543, 8030, 1020, 1007, 2081, 547, 8415, 1979, 665, 520, 3315, 7370, 538, 1585, 6080, 780, 3080, 1880, 1858, 1141, 1979, 665, 520, 3315, 7370, 19542, 568, 538, 4915, 269, 5994, 2348, 513, 10138, 602, 3085, 1405, 12115, 5265, 1813, 547, 3968, 269, 12207, 616, 3384, 6512, 1137, 11251, 609, 16887, 2966, 1979, 665, 520, 3315, 7370, 602, 5305, 7067, 8069, 950, 25884, 9190, 6937, 269, 901, 5647, 1223, 2061, 8374, 3361, 676, 5563, 543, 3895, 5488, 6051, 780, 11101, 267, 3173, 1353, 875, 1978, 1979, 665, 520, 3315, 7370, 2170, 609, 1808, 7135, 1369, 2281, 267, 17935, 547, 2087, 3075, 2504, 2553, 269, 3414, 1732, 1620, 543, 22392, 891, 4205, 267, 2564, 4648, 949, 835, 1554, 21160, 6527, 4481, 14018, 547, 1367, 2550, 262, 2115, 1765, 516, 23728, 1944, 3782, 2439, 3383, 1985, 942, 596, 2972, 1346, 17705, 12897, 610, 5957, 707, 5172, 4418, 1846, 327, 7398, 267, 3314, 519, 6909, 9910, 2261, 12069, 693, 960, 3297, 519, 10207, 281, 1979, 665, 520, 3315, 7370, 256, 5808, 6785, 1945, 865, 1507, 1223, 3640, 971, 513, 3532, 24362, 585, 938, 2729, 267, 938, 4541, 267, 543, 1256, 3564, 2470, 781, 6302, 286, 5901, 3695, 267, 543, 945, 6487, 1018, 3116, 649, 1522, 3605, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26607, 11888, 267, 5181, 476, 275, 454, 8110, 331, 7322, 8065, 476, 14530, 1700, 29423, 3218, 1756, 454, 274, 1107, 476, 275, 533, 6230, 563, 297, 517, 11936, 590, 269, 667, 867, 1157, 267, 1912, 6185, 563, 23178, 540, 11906, 543, 18143, 7177, 267, 4437, 32441, 7177, 543, 18143, 7070, 454, 22492, 20180, 528, 547, 519, 5518, 585, 21864, 9024, 328, 2510, 267, 4741, 585, 30911, 1299, 3955, 13694, 5525, 454, 305, 839, 1088, 320, 518, 12443, 23855, 545, 4659, 454, 2108, 17954, 1136, 589, 3118, 689, 7186, 779, 21940, 2456, 4635, 4437, 10999, 15765, 15089, 24899, 1842, 2572, 538, 6925, 543, 15332, 7536, 26903, 568, 26080, 538, 922, 7293, 543, 6198, 4763, 269, 769, 1082, 2665, 267, 2470, 814, 3177, 721, 609, 513, 29685, 547, 7753, 10616, 538, 938, 9354, 19070, 531, 269, 1284, 723, 3144, 10291, 689, 2470, 547, 1374, 1979, 5328, 268, 629, 8438, 32234, 609, 2189, 7293, 543, 6198, 3601, 269, 769, 713, 2911, 22189, 590, 269, 667, 867, 1157, 786, 5031, 938, 2487, 3646, 547, 1174, 2417, 519, 8818, 540, 7350, 609, 29113, 543, 1445, 713, 8818, 593, 6061, 1883, 2042, 538, 4915, 543, 938, 1455, 5989, 269, 1284, 723, 20114, 2189, 3601, 540, 6289, 558, 1468, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18693, 665, 520, 4519, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11906, 1299, 4437, 12950, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 29842, 534, 32588, 4521, 281, 589, 7690, 540, 5375, 13751, 28673, 692, 296, 269, 4985, 692, 2026, 596, 2490, 519, 3817, 540, 707, 1686, 2835, 267, 596, 1522, 1419, 2097, 2066, 8100, 547, 519, 1764, 540, 4984, 593, 1585, 18125, 540, 1480, 2486, 269, 2290, 971, 11972, 3310, 666, 581, 14360, 1394, 547, 519, 29842, 534, 4004, 542, 267, 513, 5001, 7681, 540, 13039, 16030, 519, 5783, 540, 4789, 543, 922, 2404, 1019, 665, 525, 525, 267, 16899, 267, 543, 6237, 3889, 2429, 519, 1158, 269, 2311, 922, 4295, 6013, 29842, 534, 32588, 4521, 267, 513, 3656, 5943, 7184, 954, 342, 8576, 609, 519, 8739, 27791, 5958, 540, 2296, 18702, 2477, 267, 1519, 5245, 269, 901, 3184, 12538, 883, 519, 14960, 540, 29842, 534, 32588, 4521, 267, 19286, 908, 875, 922, 3741, 3136, 547, 3337, 2413, 10883, 1440, 28619, 1369, 513, 6626, 2796, 540, 3909, 22624, 543, 6848, 2418, 780, 2862, 269, 8466, 4886, 540, 29842, 534, 32588, 4521, 692, 2414, 10146, 519, 10848, 7915, 538, 29842, 534, 32588, 4521, 267, 835, 1590, 1101, 5660, 519, 3140, 2113, 24586, 689, 799, 621, 7153, 269, 769, 476, 1626, 628, 2540, 4789, 267, 3751, 8361, 24163, 8179, 547, 3045, 592, 1010, 7365, 547, 21965, 540, 589, 16400, 1813, 547, 1200, 5821, 547, 3132, 513, 5256, 25752, 269, 1879, 15352, 595, 2211, 23446, 15189, 547, 9886, 606, 3045, 592, 618, 267, 8361, 1219, 1221, 7507, 781, 6392, 543, 3964, 519, 5783, 540, 4789, 630, 528, 29842, 534, 5783, 264, 538, 476, 14631, 275, 267, 3976, 22338, 519, 1259, 585, 513, 3982, 569, 2296, 19862, 540, 3235, 27036, 20292, 10350, 910, 29842, 534, 32588, 4521, 780, 7656, 269, 634, 28249, 540, 18321, 543, 17217, 692, 4263, 519, 2295, 540, 29842, 534, 32588, 4521, 6013, 519, 1623, 25027, 2078, 1063, 5132, 543, 2601, 269, 9521, 824, 4168, 29559, 6825, 676, 7453, 15984, 547, 2915, 15122, 28975, 267, 29842, 22675, 7512, 7214, 7279, 543, 11826, 6514, 540, 11705, 337, 1400, 2152, 269, 9182, 267, 29842, 534, 32588, 4521, 24151, 513, 2189, 11100, 540, 10143, 13414, 543, 7787, 14374, 267, 5807, 513, 8465, 2943, 7347, 3656, 2497, 17841, 547, 4657, 1514, 6381, 1247, 6967, 512, 9220, 1042, 547, 13654, 5289, 840, 32383, 780, 4353, 269, 12856, 543, 17796, 540, 29842, 534, 32588, 4521, 692, 763, 24402, 540, 29842, 534, 32588, 4521, 5097, 5161, 540, 2185, 2609, 281, 1775, 264, 10513, 23075, 282, 13797, 264, 519, 10752, 540, 519, 3504, 12429, 338, 543, 6076, 15078, 540, 519, 3768, 22866, 7826, 5783, 282, 25831, 264, 519, 3883, 540, 5871, 27302, 282, 543, 17488, 264, 22265, 6898, 9783, 676, 519, 31967, 538, 5348, 617, 673, 19771, 1634, 607, 30340, 996, 4762, 3720, 269, 1452, 2959, 1071, 2297, 576, 547, 1711, 513, 3638, 13795, 540, 3656, 3741, 30343, 29842, 534, 1135, 640, 267, 10847, 267, 543, 9015, 780, 309, 269, 5940, 3307, 17972, 540, 29842, 534, 32588, 4521, 692, 15703, 10058, 2934, 1305, 29842, 534, 32588, 4521, 6306, 689, 824, 3656, 1949, 267, 3226, 538, 6935, 547, 3235, 27036, 20292, 10350, 269, 3689, 267, 621, 13333, 593, 513, 598, 4290, 3511, 2203, 267, 10771, 3838, 3375, 6194, 1851, 23464, 543, 3288, 640, 7567, 269, 5822, 267, 7429, 4936, 7826, 17374, 1876, 267, 29842, 534, 32588, 4521, 1281, 711, 4865, 513, 21438, 21712, 17102, 267, 3850, 1367, 16899, 9645, 13190, 538, 6927, 17640, 547, 14985, 267, 1396, 21395, 267, 543, 7245, 269, 14936, 267, 29842, 534, 32588, 4521, 5088, 806, 513, 811, 8537, 1935, 2509, 29926, 543, 12683, 1143, 267, 28498, 3309, 5380, 1369, 922, 16034, 3177, 789, 5447, 609, 17618, 7608, 24396, 6724, 780, 9654, 269, 12634, 19043, 543, 12694, 692, 1103, 4207, 11407, 4478, 3909, 5191, 267, 29842, 534, 32588, 4521, 3091, 3407, 4030, 3823, 519, 10347, 3666, 1063, 3235, 3380, 658, 1582, 24148, 543, 1533, 7939, 269, 1635, 30176, 4295, 11180, 3741, 971, 607, 9668, 540, 7060, 267, 7862, 1354, 519, 1876, 267, 543, 4027, 540, 12102, 2924, 267, 29842, 534, 32588, 4521, 5713, 607, 1312, 513, 4439, 342, 1046, 1996, 2101, 9107, 1958, 549, 16670, 2390, 10723, 5624, 543, 513, 6174, 585, 5009, 18523, 21644, 5812, 609, 7225, 324, 334, 268, 22146, 7881, 269, 1717, 267, 891, 6859, 616, 711, 1510, 2591, 267, 2523, 2016, 2810, 16712, 1436, 543, 7390, 656, 7569, 585, 3152, 22098, 540, 1875, 13652, 6463, 3661, 1949, 780, 23997, 269, 8865, 5530, 281, 23893, 4149, 1410, 25141, 13891, 622, 538, 519, 29842, 534, 4004, 542, 692, 288, 8903, 2013, 1353, 3879, 13577, 540, 891, 6384, 3322, 519, 5571, 7521, 1369, 519, 29842, 534, 4004, 542, 7282, 1482, 20967, 7365, 269, 2755, 930, 16899, 899, 519, 9210, 4593, 29914, 5783, 7330, 723, 17947, 2407, 10014, 540, 11806, 266, 2043, 267, 1866, 2226, 2757, 8847, 540, 1319, 3234, 3415, 12082, 538, 10636, 18400, 9769, 269, 901, 791, 21692, 12651, 7096, 2055, 827, 519, 7182, 540, 11705, 337, 1400, 4763, 1471, 268, 14504, 23724, 18497, 9322, 267, 25967, 1681, 519, 991, 585, 4797, 5188, 543, 19908, 10838, 8639, 8149, 547, 8497, 519, 8699, 540, 29842, 534, 32588, 4521, 9624, 13346, 2686, 544, 2803, 780, 309, 7656, 269, 10390, 692, 1607, 3184, 814, 25139, 1883, 3344, 540, 29842, 534, 32588, 4521, 267, 17766, 1769, 593, 922, 3140, 1646, 267, 13057, 10952, 26336, 267, 7293, 3334, 267, 543, 4207, 10083, 269, 3414, 2565, 6278, 609, 713, 1570, 267, 1053, 1796, 547, 2744, 4514, 7071, 585, 519, 15491, 1909, 5129, 676, 4984, 538, 5935, 3540, 7239, 267, 11121, 8086, 593, 15851, 4798, 540, 5126, 267, 23502, 267, 543, 8296, 1898, 585, 14237, 5483, 15114, 538, 2221, 781, 5051, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5978, 2296, 6561, 8209, 13315, 1454, 602, 1082, 540, 721, 1491, 585, 11292, 267, 1519, 1893, 267, 3332, 267, 2528, 543, 6138, 269, 1280, 1346, 540, 721, 711, 540, 2296, 6006, 267, 2705, 267, 971, 513, 6561, 949, 581, 540, 30940, 4644, 269, 8616, 972, 616, 3344, 540, 519, 6561, 799, 23366, 723, 606, 3507, 762, 4644, 585, 1169, 12504, 543, 17055, 540, 5245, 269, 12751, 1851, 1346, 568, 519, 1062, 540, 1876, 543, 2229, 269, 898, 568, 519, 3483, 540, 713, 2376, 547, 6542, 602, 267, 1498, 711, 796, 518, 2590, 263, 272, 1070, 713, 1062, 568, 19347, 543, 16138, 1639, 676, 513, 4168, 2245, 563, 2171, 949, 1491, 607, 938, 5182, 1782, 1448, 519, 4341, 540, 1876, 267, 799, 814, 1044, 3989, 263, 273, 264, 607, 2495, 602, 519, 3635, 540, 7060, 540, 2229, 4927, 581, 31411, 676, 1876, 543, 602, 519, 1641, 4927, 711, 581, 6534, 547, 519, 17062, 786, 540, 519, 14610, 269, 1306, 9450, 676, 519, 1390, 13338, 626, 7905, 589, 17679, 269, 667, 823, 344, 263, 274, 1070, 621, 1797, 834, 1492, 6207, 29686, 610, 2392, 7631, 766, 540, 2834, 1876, 607, 10353, 547, 519, 3310, 540, 17062, 1379, 267, 543, 608, 11079, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 486, 21382, 355, 421, 360, 498, 31271, 361, 26233, 356, 454, 325, 272, 269, 13449, 3890, 567, 1948, 417, 495, 376, 9463, 360, 21382, 355, 421, 360, 498, 25913, 25622, 454, 11907, 284, 325, 272, 18667, 3890, 476, 1948, 417, 495, 376, 9463, 360, 21382, 355, 421, 360, 498, 25913, 25622, 454, 2745, 16597, 2020, 258, 18777, 478, 9463, 500, 21588, 361, 11590, 490, 22390, 489, 418, 359, 498, 418, 350, 486, 454, 325, 273, 284, 12803, 2891, 11907, 318, 275, 17902, 5602, 325, 273, 269, 13449, 4590, 11907, 284, 325, 273, 18667, 4590, 2745, 16597, 264, 0, 258, 590, 5902, 5569, 1505, 454, 12849, 23952, 815, 3403, 2891, 24876, 803, 16764, 781, 4408, 267, 9674, 676, 513, 26893, 269, 19515, 12849, 815, 4408, 23952, 21858, 263, 2580, 19515, 258, 9462, 504, 357, 5213, 1405, 1689, 519, 3009, 1657, 26461, 484, 692, 258, 2237, 707, 3009, 2630, 713, 1899, 26461, 485, 454, 258, 3733, 3801, 693, 713, 4161, 910, 594, 3494, 621, 6104, 8460, 519, 1482, 607, 519, 3070, 454, 258, 1104, 4351, 454, 258, 4351, 11075, 28984, 3799, 1868, 994, 258, 1820, 6600, 257, 346, 12849, 314, 271, 316, 9574, 596, 1590, 2628, 519, 3915, 10590, 2020, 258, 8827, 607, 7396, 676, 1576, 454, 5814, 4351, 454, 258, 7476, 519, 2698, 1297, 540, 3688, 538, 519, 1592, 563, 11133, 318, 19477, 815, 7003, 3799, 1868, 994, 258, 7049, 4733, 4351, 2338, 1063, 476, 271, 543, 519, 2063, 4994, 563, 12690, 15220, 4069, 815, 4351, 27110, 263, 271, 267, 1003, 318, 19477, 910, 272, 994, 258, 303, 1157, 856, 4351, 1268, 689, 1592, 540, 4408, 1210, 519, 4351, 1297, 563, 17367, 318, 15367, 318, 15884, 7272, 599, 815, 4408, 314, 12690, 15220, 4069, 6540, 2745, 9638, 3205, 318, 15367, 318, 15884, 7272, 599, 1341, 834, 568, 2469, 547, 4444, 519, 7594, 2221, 256, 8442, 0, 2745, 2891, 8702, 547, 519, 16945, 1723, 2120, 32405, 19417, 815, 703, 9272, 2891, 1432, 568, 707, 4463, 538, 4699, 286, 27328, 258, 952, 270, 12828, 454, 258, 567, 952, 2783, 912, 258, 11434, 798, 713, 454, 258, 567, 3116, 912, 258, 11434, 798, 713, 692, 604, 4463, 3436, 476, 6344, 912, 825, 1820, 2891, 4692, 11878, 256, 2433, 291, 5602, 12828, 912, 825, 1820, 2891, 4692, 1405, 11878, 269, 2433, 2891, 2020, 0, 327, 815, 10581, 9272, 2891, 11767, 519, 4463, 540, 21121, 281, 8442, 3418, 321, 815, 10581, 9272, 2891, 11767, 519, 3490, 3259, 540, 21121, 281, 8442, 10142, 19327, 815, 476, 271, 269, 276, 2608, 554, 2608, 536, 1477, 2745, 2891, 22704, 540, 519, 21121, 568, 24333, 1858, 264, 0, 16344, 17575, 815, 834, 2102, 516, 4840, 12803, 815, 1930, 6600, 32327, 994, 323, 815, 31460, 1721, 4737, 538, 3758, 912, 825, 9135, 267, 7260, 8217, 815, 4737, 21858, 19629, 339, 5602, 825, 7260, 8217, 815, 7260, 8217, 18622, 2897, 3488, 257, 3299, 834, 262, 5602, 825, 7260, 8217, 815, 7260, 8217, 314, 273, 281, 910, 274, 2639, 825, 7260, 8217, 815, 7260, 8217, 454, 825, 546, 314, 2102, 516, 316, 815, 7260, 8217, 692, 258, 325, 2863, 542, 540, 6730, 454, 3698, 543, 318, 28072, 3287, 11971, 2187, 825, 585, 9598, 318, 2102, 516, 538, 546, 912, 1038, 952, 1535, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 272, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 1038, 952, 586, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 273, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 825, 1820, 630, 326, 272, 269, 5793, 7611, 14116, 273, 264, 9239, 3698, 610, 318, 28072, 3287, 11971, 2187, 825, 585, 9598, 318, 2102, 516, 538, 546, 912, 1038, 952, 1535, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 272, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 1038, 952, 586, 31573, 3890, 538, 9598, 318, 2102, 516, 31573, 10031, 2018, 575, 273, 815, 1305, 5560, 314, 18743, 318, 2102, 516, 4940, 20889, 2891, 3299, 1412, 27363, 825, 1820, 630, 326, 272, 26509, 542, 14116, 273, 264, 9239, 3698, 1292, 10031, 825, 13214, 815, 3403, 2891, 11767, 519, 2637, 516, 281, 19515, 825, 13214, 815, 13214, 21858, 3488, 30386, 825, 6474, 815, 8771, 692, 825, 952, 7003, 263, 638, 2044, 264, 2652, 476, 272, 912, 1038, 585, 9135, 538, 546, 912, 2018, 952, 13214, 314, 271, 4940, 12294, 3890, 538, 9135, 31573, 10031, 3546, 1820, 630, 2102, 516, 1341, 834, 814, 7260, 281, 834, 1341, 546, 314, 2102, 516, 316, 12467, 3546, 6474, 815, 6936, 454, 825, 3116, 912, 1038, 952, 13214, 314, 272, 4940, 12294, 3890, 2652, 834, 663, 13426, 2018, 543, 318, 28072, 263, 638, 2044, 314, 271, 3910, 13214, 314, 273, 7481, 2018, 6474, 815, 6936, 454, 1038, 8640, 13214, 314, 272, 4940, 12294, 2652, 834, 528, 13426, 2018, 610, 318, 28072, 263, 638, 2044, 314, 271, 3910, 13214, 314, 273, 7481, 2018, 6474, 815, 6936, 692, 825, 952, 711, 6474, 912, 1038, 1820, 2891, 5591, 1344, 540, 834, 25589, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 5814, 23094, 454, 5814, 15259, 267, 19523, 454, 5814, 2415, 27785, 454, 22322, 3698, 11571, 318, 7964, 10031, 476, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 1607, 5124, 7097, 2132, 952, 513, 9138, 2823, 568, 1930, 610, 711, 593, 513, 9138, 3684, 5073, 476, 16163, 518, 14491, 318, 30348, 3488, 268, 320, 3299, 1412, 734, 5417, 816, 3299, 2838, 18989, 267, 948, 8782, 763, 28258, 2232, 540, 519, 6552, 3684, 547, 11571, 5073, 476, 16163, 518, 14491, 318, 30348, 3488, 268, 335, 3299, 1412, 734, 1636, 3299, 2838, 18989, 267, 948, 8782, 763, 2823, 593, 519, 6552, 3684, 30386, 476, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 476, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 276, 912, 567, 521, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 994, 567, 2119, 912, 8587, 521, 269, 6618, 9230, 16911, 14491, 816, 267, 703, 263, 16911, 269, 1636, 21875, 8587, 521, 11075, 583, 6658, 263, 273, 994, 8587, 1820, 834, 1636, 4939, 338, 568, 1930, 257, 4939, 16911, 269, 1636, 454, 567, 4849, 912, 8587, 1820, 834, 1636, 4939, 338, 568, 711, 1930, 257, 4939, 16911, 269, 1636, 454, 476, 3116, 912, 567, 1820, 834, 9767, 1058, 4283, 4010, 1079, 7440, 4840, 567, 16163, 518, 31428, 318, 15276, 4590, 567, 1820, 834, 6781, 15659, 10371, 4799, 3698, 1292, 10031, 11571, 318, 7964, 4590, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 1292, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5002, 274, 267, 1744, 4275, 330, 11867, 8120, 547, 4971, 519, 594, 297, 288, 476, 2641, 560, 32691, 31118, 1282, 519, 15570, 810, 11219, 17702, 2782, 269, 4438, 519, 2112, 267, 646, 729, 15469, 547, 1831, 12751, 540, 16065, 540, 519, 594, 297, 288, 476, 1724, 628, 10406, 269, 1744, 4275, 330, 11867, 2968, 513, 9114, 23133, 3935, 601, 538, 476, 5002, 278, 267, 3935, 601, 538, 476, 5002, 280, 267, 543, 19524, 540, 519, 594, 297, 288, 476, 4097, 628, 32691, 31118, 563, 7628, 2622, 2782, 594, 267, 1744, 4275, 330, 11867, 729, 19524, 540, 519, 594, 297, 288, 476, 280, 628, 32691, 23394, 1228, 269, 1261, 6039, 607, 10361, 540, 519, 12287, 6773, 13163, 538, 519, 12080, 540, 2782, 689, 476, 4489, 277, 1700, 4489, 280, 267, 543, 1310, 1010, 13319, 547, 9114, 23133, 2489, 538, 476, 4489, 280, 267, 607, 16710, 656, 540, 519, 15875, 5545, 8136, 9142, 269, 769, 476, 4572, 272, 267, 646, 729, 2016, 513, 8396, 4971, 1586, 267, 607, 19524, 540, 519, 594, 297, 288, 476, 1556, 628, 10406, 267, 543, 689, 476, 4572, 273, 607, 19524, 540, 519, 594, 297, 288, 476, 272, 560, 10406, 563, 5804, 476, 4572, 273, 547, 476, 4572, 274, 267, 1744, 4275, 330, 11867, 6039, 607, 21470, 5336, 514, 3563, 540, 2782, 896, 4937, 962, 16120, 20076, 670, 11961, 16230, 269, 2991, 13713, 7674, 607, 10361, 540, 8136, 17224, 517, 27658, 4972, 267, 1744, 4275, 330, 11867, 729, 12912, 2155, 6387, 538, 12751, 540, 519, 32765, 836, 339, 2426, 8136, 689, 476, 4572, 274, 547, 476, 4572, 277, 269, 1282, 799, 942, 646, 729, 13752, 519, 9835, 595, 20423, 540, 519, 11352, 540, 519, 29547, 6129, 563, 4415, 13253, 538, 3624, 6385, 15155, 4771, 909, 2509, 1930, 2112, 267, 1744, 4275, 330, 11867, 729, 771, 6312, 3481, 547, 3624, 593, 5988, 476, 1839, 267, 476, 4350, 273, 267, 547, 1831, 19524, 538, 8783, 540, 519, 29258, 30609, 819, 776, 8136, 269, 1717, 267, 1079, 3275, 2663, 267, 593, 4989, 476, 3066, 267, 476, 4350, 273, 267, 646, 729, 16094, 13676, 538, 513, 10514, 1305, 676, 11114, 7115, 19191, 962, 684, 645, 784, 3766, 559, 538, 29258, 781, 15173, 330, 537, 5244, 543, 5747, 593, 2904, 476, 2918, 563, 4537, 4275, 330, 11867, 729, 2022, 21065, 3585, 13752, 609, 519, 9835, 595, 20423, 540, 519, 11352, 540, 519, 6754, 1144, 807, 26540, 267, 11352, 540, 519, 13642, 918, 924, 476, 273, 526, 4147, 267, 543, 11506, 547, 519, 7584, 540, 546, 753, 327, 27495, 630, 8663, 517, 264, 896, 519, 737, 1794, 18602, 9263, 720, 1062, 269, 3571, 607, 1127, 941, 5258, 1063, 30401, 4092, 538, 1010, 554, 32528, 540, 631, 1846, 8500, 4821, 543, 538, 19519, 781, 589, 1195, 4821, 30895, 563, 268, 645, 1460, 267, 29464, 623, 269, 630, 1220, 272, 1040, 670, 10098, 327, 17010, 543, 519, 10435, 540, 7073, 3567, 269, 22489, 623, 15959, 658, 269, 9768, 476, 271, 268, 6187, 268, 6021, 274, 9873, 268, 273, 563, 268, 667, 1575, 8500, 267, 7066, 341, 528, 715, 269, 630, 1960, 273, 1040, 15610, 540, 13639, 22335, 269, 594, 645, 570, 4768, 529, 1299, 3213, 13456, 269, 9768, 476, 272, 268, 25616, 6246, 268, 6321, 280, 268, 274, 563, 268, 3244, 338, 267, 9400, 630, 1220, 272, 1040, 5545, 11572, 3778, 4595, 519, 2725, 25702, 11412, 990, 566, 476, 5908, 279, 1700, 1220, 271, 269, 6022, 6588, 557, 5839, 17524, 534, 269, 9768, 476, 271, 268, 24374, 268, 26839, 1428, 268, 278, 563, 268, 2549, 618, 1817, 335, 267, 6008, 523, 269, 834, 4537, 4275, 330, 11867, 962, 9655, 514, 9461, 2668, 634, 2637, 5644, 540, 2622, 2782, 4083, 563, 268, 654, 754, 601, 267, 29849, 269, 834, 8266, 540, 16710, 619, 540, 519, 32765, 656, 2426, 8136, 2668, 31196, 3778, 5517, 1504, 563, 268, 2549, 618, 1817, 335, 267, 634, 2637, 5644, 540, 2622, 2782, 4083, 454, 268, 654, 754, 601, 267, 31196, 3778, 5517, 1504, 454, 268, 667, 1575, 8500, 267, 15610, 540, 13639, 22335, 454, 347, 14737, 3563, 540, 2782, 454, 19688, 476, 4572, 278, 1107, 5147, 476, 4572, 280, 454, 347, 8333, 6387, 267, 29258, 30609, 819, 776, 8136, 454, 21938, 476, 4350, 273, 1107, 4989, 476, 4350, 273, 454, 347, 8333, 6387, 267, 32765, 656, 2426, 8136, 454, 19751, 476, 4572, 274, 1107, 5147, 476, 4572, 277, 0, 306, 15659, 11534, 657, 2572, 281, 14313, 593, 875, 547, 1118, 707, 1378, 6587, 911, 903, 693, 1753, 609, 7622, 3688, 563, 2080, 649, 1491, 513, 1413, 693, 1946, 3204, 326, 1470, 2506, 23158, 2069, 1568, 543, 1397, 596, 875, 621, 7498, 19530, 762, 2831, 585, 519, 26229, 8033, 757, 1353, 454, 10403, 26229, 12729, 543, 16504, 2200, 585, 1453, 9907, 476, 274, 268, 1321, 267, 26229, 2979, 267, 1893, 543, 2686, 454, 21848, 1895, 281, 18014, 631, 269, 273, 269, 1428, 10576, 519, 1843, 602, 1185, 1044, 3773, 547, 513, 1895, 269, 631, 269, 273, 269, 736, 5269, 513, 4015, 540, 3688, 3677, 676, 4946, 3688, 950, 4280, 563, 684, 605, 27826, 1313, 712, 5918, 17855, 267, 632, 561, 262, 2246, 641, 677, 7159, 679, 561, 262, 665, 10810, 1338, 269, 8551, 1471, 340, 1564, 267, 2504, 632, 1257, 324, 267, 911, 924, 618, 632, 1257, 324, 269, 1133, 17855, 632, 544, 1824, 513, 1380, 328, 13248, 638, 16211, 32488, 2336, 24145, 776, 14208, 1824, 281, 4790, 749, 725, 1299, 18395, 585, 8866, 454, 10831, 12805, 2534, 454, 7666, 3660, 2979, 4245, 267, 10213, 942, 267, 0, 14071, 5858, 1472, 10723, 2418, 543, 1287, 2671, 2022, 554, 665, 7440, 827, 1946, 649, 616, 865, 1318, 543, 789, 616, 865, 4636, 269, 1284, 1589, 602, 519, 824, 2427, 568, 9420, 547, 5168, 267, 2601, 267, 2257, 543, 1455, 2631, 855, 538, 1249, 3025, 4422, 9420, 950, 6158, 827, 741, 10723, 3615, 269, 1403, 596, 1616, 547, 1174, 1776, 1895, 267, 1246, 741, 10723, 1145, 7536, 297, 517, 11936, 670, 4660, 339, 267, 634, 9406, 15667, 9650, 1107, 1946, 1434, 1004, 616, 5258, 676, 6214, 543, 4984, 630, 1001, 273, 994, 14276, 8456, 616, 5827, 540, 16138, 5109, 610, 21006, 4031, 543, 5238, 269, 769, 519, 5177, 1857, 8456, 616, 4543, 547, 6861, 1480, 2924, 267, 1312, 1369, 543, 3564, 938, 24528, 269, 634, 5177, 568, 711, 4805, 1107, 519, 1480, 2924, 2048, 25912, 685, 568, 896, 14213, 2066, 519, 8608, 267, 2436, 538, 8456, 547, 519, 4139, 22518, 7040, 538, 2694, 540, 4000, 610, 9228, 13253, 1063, 3540, 23118, 543, 3354, 538, 519, 2022, 476, 280, 270, 1556, 7330, 585, 1383, 563, 763, 5274, 7126, 2920, 476, 1960, 279, 949, 723, 2048, 289, 3754, 7126, 5851, 685, 676, 2048, 516, 6312, 686, 908, 685, 519, 2924, 8659, 538, 519, 3864, 13482, 593, 5274, 7126, 267, 16135, 607, 1082, 540, 873, 941, 538, 519, 2296, 5871, 4521, 267, 855, 594, 1589, 621, 568, 4023, 547, 2161, 602, 6388, 814, 17388, 7753, 519, 12178, 4857, 676, 661, 32642, 17619, 593, 519, 476, 1015, 628, 16683, 540, 519, 17629, 16672, 593, 5274, 7126, 538, 476, 4198, 279, 912, 8072, 8489, 267, 1310, 782, 267, 798, 8471, 1480, 2924, 2253, 286, 769, 1507, 4025, 267, 2673, 547, 1753, 1107, 865, 2673, 543, 865, 1507, 602, 789, 3112, 581, 2938, 593, 1022, 7851, 540, 519, 1158, 269, 8616, 789, 616, 519, 1158, 540, 519, 1367, 1268, 282, 519, 8378, 646, 2729, 538, 282, 519, 1153, 610, 2852, 646, 1140, 1742, 282, 519, 12051, 267, 3484, 267, 610, 5604, 1141, 646, 1568, 269, 6270, 616, 519, 4025, 1141, 1169, 812, 267, 4807, 267, 543, 1126, 11394, 3160, 5126, 267, 3160, 4316, 267, 3160, 15683, 1510, 7130, 269, 28791, 891, 2924, 723, 2495, 972, 267, 789, 723, 2370, 2495, 9170, 19028, 2005, 568, 4401, 545, 602, 519, 3668, 540, 2495, 602, 1480, 2924, 2408, 547, 4865, 585, 1082, 1004, 538, 519, 5177, 11710, 538, 1100, 1507, 851, 689, 519, 5177, 779, 2594, 540, 1967, 538, 32750, 2463, 585, 1480, 2924, 543, 4909, 22624, 269, 1280, 1034, 1004, 971, 2924, 543, 22624, 616, 865, 18955, 883, 519, 4948, 5958, 607, 547, 581, 15865, 269, 4139, 1480, 2924, 2508, 619, 798, 711, 593, 519, 2898, 1489, 1480, 2924, 960, 538, 519, 5177, 1317, 540, 713, 267, 7487, 519, 1483, 6937, 607, 14084, 11992, 269, 4139, 1480, 2924, 27013, 798, 711, 4163, 856, 960, 538, 519, 5177, 585, 519, 1482, 2601, 269, 634, 5177, 568, 835, 540, 519, 2048, 16591, 16921, 685, 602, 24947, 543, 5360, 625, 609, 3486, 4441, 543, 519, 4341, 540, 1876, 269, 3776, 14579, 543, 20448, 8433, 8362, 3895, 1480, 2924, 1472, 519, 8608, 563, 8170, 1576, 519, 5274, 7126, 2920, 543, 519, 3864, 13482, 593, 5274, 7126, 723, 28322, 8723, 4961, 5275, 5126, 269, 8616, 11214, 267, 950, 2984, 971, 607, 3885, 17516, 5126, 585, 519, 2530, 540, 6068, 3283, 693, 519, 3946, 540, 519, 3557, 267, 607, 538, 519, 2013, 540, 519, 22193, 28386, 769, 638, 3949, 610, 676, 519, 3885, 540, 1346, 945, 5747, 538, 23244, 10506, 538, 11068, 16065, 867, 28790, 610, 8723, 1876, 705, 4575, 1004, 4101, 519, 6057, 540, 3329, 2218, 7060, 676, 2879, 334, 14563, 2199, 5646, 15078, 3914, 519, 1857, 6389, 267, 519, 11358, 1909, 540, 519, 5274, 7126, 2920, 610, 519, 3864, 7040, 540, 5274, 7126, 5526, 547, 1205, 4503, 563, 4517, 1247, 9118, 2516, 543, 14540, 616, 8362, 3238, 538, 5859, 532, 585, 1018, 538, 1082, 824, 2477, 1131, 581, 27537, 607, 1480, 2924, 1107, 519, 5859, 585, 10349, 7862, 267, 585, 16981, 1004, 547, 2661, 10446, 267, 1996, 5208, 1996, 2021, 267, 585, 3160, 2628, 267, 1996, 12250, 10168, 1107, 538, 519, 5177, 1082, 540, 891, 2516, 3442, 711, 547, 7406, 741, 14223, 538, 891, 2474, 267, 1373, 811, 2693, 547, 2911, 540, 7862, 267, 1514, 5126, 610, 3540, 2924, 269, 6884, 538, 519, 2250, 971, 14540, 723, 6829, 30739, 29383, 547, 1480, 2924, 267, 3823, 873, 607, 22350, 3656, 543, 607, 11046, 2065, 267, 32682, 1027, 689, 1514, 5322, 543, 693, 12918, 609, 1895, 17604, 269, 4653, 1082, 2408, 11688, 26938, 547, 2308, 1480, 2924, 10502, 1317, 621, 814, 1831, 971, 513, 6757, 6216, 269, 2368, 4250, 621, 786, 6467, 1055, 22881, 267, 14761, 543, 519, 2923, 543, 798, 811, 2800, 982, 1434, 563, 21953, 621, 568, 10502, 713, 2048, 327, 5200, 7952, 685, 540, 1480, 2924, 9718, 619, 602, 991, 547, 856, 2933, 952, 649, 616, 547, 2253, 547, 1689, 519, 2239, 593, 1480, 2924, 538, 519, 5177, 543, 547, 1628, 1489, 585, 519, 2956, 540, 1480, 2924, 538, 519, 2048, 20791, 4025, 2673, 547, 1753, 10200, 1284, 798, 723, 513, 15597, 14102, 9872, 609, 513, 3656, 10279, 547, 798, 971, 960, 267, 855, 585, 5722, 1296, 1631, 630, 10175, 519, 942, 594, 5249, 972, 267, 3056, 922, 1480, 2924, 960, 264, 621, 814, 6140, 5706, 539, 3257, 865, 269, 6435, 568, 856, 972, 2705, 689, 519, 4982, 958, 744, 2720, 11036, 267, 3964, 676, 519, 25734, 543, 16844, 17072, 609, 519, 1489, 540, 5216, 1347, 885, 267, 585, 873, 547, 581, 2111, 547, 2995, 741, 1650, 540, 1480, 2924, 538, 513, 1259, 602, 711, 1152, 30417, 519, 17219, 855, 799, 568, 3254, 547, 3986, 519, 1764, 540, 741, 14223, 960, 563, 4462, 1652, 543, 2394, 713, 6626, 14218, 1890, 540, 1489, 2501, 4464, 547, 2995, 922, 1378, 1480, 2924, 2984, 267, 519, 1480, 2924, 2239, 538, 519, 5177, 786, 3136, 547, 581, 13856, 676, 2984, 827, 16957, 9810, 1235, 267, 28357, 32339, 267, 4914, 20737, 267, 14586, 267, 17631, 630, 27486, 12224, 6167, 303, 8008, 8085, 2752, 717, 4629, 16810, 28313, 1070, 1210, 519, 5274, 7126, 2920, 610, 8744, 2665, 547, 519, 3864, 7040, 540, 5274, 7126, 547, 1107, 621, 568, 11130, 1107, 859, 1228, 5126, 267, 610, 547, 29875, 7938, 9287, 9479, 540, 14619, 676, 24584, 2924, 1510, 16706, 862, 839, 23847, 9021, 269, 769, 2110, 267, 1480, 2924, 786, 3136, 547, 581, 9833, 607, 4550, 2173, 1994, 9107, 1107, 607, 538, 519, 4690, 540, 18441, 1152, 543, 711, 519, 9962, 1857, 1719, 269, 901, 2239, 786, 4734, 621, 2647, 1930, 547, 6057, 1107, 4401, 1227, 30343, 513, 2239, 602, 11942, 538, 1082, 513, 2631, 540, 1379, 16531, 543, 771, 523, 325, 13361, 1047, 618, 267, 950, 519, 1360, 3483, 540, 1480, 2924, 568, 547, 11063, 1379, 547, 519, 1004, 543, 1118, 519, 3532, 18177, 269, 2334, 568, 1946, 22215, 519, 5274, 7126, 2920, 543, 519, 3864, 7040, 540, 5274, 7126 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 5278, 2161, 267, 968, 1729, 4339, 11508, 892, 543, 602, 568, 3020, 269, 1284, 798, 1039, 31294, 547, 606, 10697, 779, 3001, 2694, 547, 2569, 11508, 269, 1809, 972, 779, 811, 547, 621, 982, 602, 563, 5278, 2161, 267, 968, 1729, 2569, 3002, 892, 543, 602, 568, 849, 3020, 269, 634, 1318, 2179, 540, 19149, 656, 1281, 948, 1832, 3001, 2694, 689, 3478, 1932, 3905, 269, 1809, 930, 561, 4209, 10509, 338, 267, 3206, 811, 568, 1732, 267, 1491, 621, 547, 519, 3665, 269, 1358, 1039, 811, 31294, 2443, 3206, 789, 616, 3257, 1434, 2443, 543, 3079, 1781, 651, 519, 3684, 779, 2702, 547, 771, 704, 572, 3002, 563, 763, 1483, 2601, 547, 19149, 622, 7221, 568, 547, 1106, 9668, 1063, 7252, 269, 901, 7954, 10039, 547, 711, 1152, 5179, 26971, 269, 634, 16537, 976, 538, 606, 2599, 267, 11800, 593, 513, 5832, 5397, 267, 24039, 538, 513, 1487, 1356, 267, 1256, 5276, 26971, 602, 798, 711, 17967, 267, 855, 13472, 1394, 543, 8521, 269, 634, 3119, 3483, 547, 19149, 622, 2168, 7221, 568, 547, 1832, 3001, 7252, 689, 4947, 883, 3346, 609, 1142, 824, 269, 5221, 950, 789, 798, 267, 5821, 12331, 616, 15748, 267, 543, 29488, 568, 27571, 563, 293, 9689, 568, 513, 3196, 799, 1727, 4680, 3350, 1063, 7252, 269, 674, 9689, 4679, 5957, 1063, 7252, 267, 4679, 1062, 2837, 267, 543, 13497, 4679, 1379, 4616, 269, 634, 1318, 2179, 267, 543, 1826, 540, 19149, 656, 5932, 513, 6094, 4670, 1063, 1079, 7252, 269, 1280, 607, 1279, 607, 602, 4670, 568, 9738, 267, 621, 14014, 519, 10697, 689, 5957, 543, 3002, 1247, 3850, 621, 547, 3132, 538, 606, 1648, 3608, 1259, 563, 5278, 19149, 1218, 2709, 519, 3606, 4324, 540, 9013, 14809, 269, 1358, 2270, 21187, 799, 2061, 15309, 689, 3679, 543, 1216, 6285, 563, 294, 516, 848, 1590, 581, 6854, 1863, 540, 17694, 267, 855, 519, 1360, 2470, 540, 519, 5394, 10273, 2636, 621, 547, 4584, 909, 7452, 543, 27497, 269, 7743, 4859, 568, 4061, 2629, 267, 543, 2973, 31294, 4294, 5265, 666, 2965, 13104, 6191, 689, 519, 3824, 816, 540, 17694, 563, 763, 2257, 540, 19149, 566, 5170, 547, 11457, 585, 936, 476, 6110, 271, 1296, 269, 1809, 519, 3741, 2611, 519, 1482, 282, 547, 2226, 9668, 540, 1079, 610, 811, 7252, 267, 3976, 10804, 532, 519, 10727, 540, 519, 3003, 10697, 563, 12606, 938, 13813, 1299, 13983, 848, 19554, 7454, 13756, 585, 811, 4388, 547, 948, 7291, 519, 1655, 2853, 585, 1697, 19149, 566, 4859, 563, 2421, 667, 10005, 623, 1229, 320, 454, 296, 13984, 513, 2866, 5063, 593, 519, 14168, 6441, 6471, 2473, 307, 278, 3583, 12972, 1062, 693, 606, 3282, 543, 3154, 9808, 9535, 2754, 538, 4639, 7147, 269, 4438, 519, 2866, 594, 4862, 519, 2165, 968, 26572, 848, 17494, 892, 543, 1256, 1498, 594, 723, 1044, 538, 519, 19149, 566, 2361, 585, 476, 3066, 1296, 267, 594, 729, 14542, 609, 713, 3662, 563, 290, 727, 547, 1265, 856, 267, 621, 568, 513, 2165, 1031, 547, 4766, 606, 3498, 4625, 27507, 540, 1022, 31294, 269, 769, 824, 1913, 267, 2576, 4769, 1406, 31294, 519, 3937, 693, 782, 543, 2687, 547, 519, 16944, 6105, 267, 891, 535, 1112, 25875, 968, 26572, 848, 17494, 892, 1590, 723, 13881, 519, 31294, 2336, 6546, 3893, 803, 3206, 827, 519, 1114, 3282, 24620, 885, 543, 31294, 5394, 22211, 543, 875, 711, 782, 6067, 1162, 616, 2813, 3160, 269, 1284, 1590, 1413, 693, 1142, 3498, 14350, 543, 3313, 519, 2953, 3282, 25297, 543, 519, 2953, 5394, 10273, 610, 968, 810, 777, 892, 602, 786, 960, 1655, 538, 519, 3498, 269, 1411, 1294, 267, 519, 5394, 22211, 723, 1114, 4162, 602, 1860, 519, 2773, 269, 634, 2165, 968, 4041, 4811, 892, 666, 1205, 721, 2673, 547, 938, 3803, 5542, 563, 268, 20509, 1107, 1018, 4452, 786, 519, 12946, 581, 5885, 1282, 922, 1272, 4783, 286, 1261, 822, 1176, 16041, 26971, 616, 3335, 14887, 3001, 543, 1131, 2154, 513, 811, 1471, 32654, 3490, 3282, 547, 948, 5094, 519, 4496, 7252, 3001, 6587, 1142, 824, 269, 594, 1522, 3442, 513, 7513, 9829, 517, 622, 5394, 10273, 585, 713, 3498, 1317, 713, 5394, 10273, 814, 5140, 4452, 8876, 7207, 563, 268, 5113, 1107, 1141, 786, 519, 12946, 581, 4092, 286, 1772, 621, 3544, 267, 6534, 547, 519, 2609, 286, 1772, 621, 538, 519, 9808, 9535, 1158, 1141, 1216, 267, 7452, 267, 13897, 267, 19089, 267, 4764, 267, 610, 6464, 3092, 269, 786, 723, 606, 1198, 593, 519, 31294, 779, 2773, 286, 7994, 519, 5394, 10273, 20617, 607, 1631, 513, 16864, 1950, 610, 11956, 1950, 12853, 949, 581, 519, 1655, 2489, 3483, 4781, 563, 268, 18323, 1107, 769, 4639, 7147, 267, 519, 2837, 23638, 666, 581, 476, 2568, 5232, 689, 3781, 547, 1554, 269, 901, 1522, 1860, 519, 2773, 540, 519, 31294, 607, 621, 12211, 547, 6802, 1464, 267, 2523, 538, 606, 13128, 31294, 1062, 899, 713, 9744, 729, 1210, 269, 3767, 267, 519, 5394, 10273, 1522, 15658, 519, 2095, 540, 519, 31294, 607, 930, 865, 2355, 616, 1634, 711, 547, 6802, 1134, 267, 899, 513, 7513, 9829, 517, 622, 563, 268, 17726, 1107, 1018, 568, 519, 12946, 3432, 286, 674, 2120, 543, 4130, 3335, 723, 519, 991, 585, 513, 14402, 25297, 3490, 3282, 543, 513, 811, 2095, 762, 5394, 10273, 269, 17957, 267, 513, 1804, 267, 8185, 16041, 3500, 3001, 12946, 1131, 2154, 513, 811, 1471, 32654, 3490, 3282, 543, 513, 811, 7347, 12853, 547, 948, 4163, 519, 4452, 563, 1103, 3932, 267, 19845, 4811, 8495, 1142, 3498, 593, 922, 1378, 26350, 547, 1118, 519, 1655, 3803, 8990, 585, 799, 31294, 1058, 581, 1031, 282, 543, 267, 8856, 19149, 566, 1210, 16953, 666, 948, 2327, 602, 519, 1318, 2179, 540, 31294, 568, 1373, 1031, 267, 543, 1522, 1175, 948, 2057, 519, 22467, 1674, 540, 519, 23487, 539, 968, 26572, 848, 21431, 892, 2336, 2421, 667, 10005, 623, 1229, 320, 454, 5629, 596, 1174, 875, 31294, 2965, 1568, 547, 19149, 622, 513, 12946, 267, 621, 3587, 6654, 1946, 936, 3766, 516, 2084, 3123, 865, 1454, 8194, 547, 1312, 26971, 543, 519, 31294, 3294, 269, 5457, 267, 782, 649, 1616, 689, 938, 19149, 656, 568, 547, 1683, 513, 2370, 9668, 538, 519, 2112, 7997, 269, 23875, 811, 2507, 4986, 1447, 563, 2252, 596, 2461, 2542, 519, 2165, 968, 8705, 7997, 892, 585, 519, 1101, 942, 267, 649, 946, 602, 2165, 547, 4766, 519, 3148, 540, 519, 12946, 1141, 782, 519, 5957, 543, 15237, 4386, 563, 3086, 1577, 779, 7006, 601, 1614, 14868, 827, 6067, 2084, 26971, 563, 300, 2814, 1948, 272, 281, 952, 930, 31294, 568, 1434, 267, 1287, 513, 2603, 811, 1590, 581, 1390, 563, 268, 654, 305, 32670, 256, 4107, 12946, 9755, 899, 27699, 293, 267, 674, 8980, 267, 24857, 301, 267, 918, 302, 312, 302, 267, 782, 4363, 602, 519, 12946, 8027, 13570, 1152, 581, 4904, 547, 476, 1789, 260, 4390, 269, 700, 4209, 13623, 1210, 513, 942, 2861, 1935, 547, 31294, 25579, 7321, 616, 3592, 2141, 6028, 741, 7221, 538, 606, 936, 3766, 516, 1078, 1533, 563, 300, 2814, 1948, 273, 281, 2859, 31294, 786, 1683, 1732, 9023, 585, 519, 12946, 563, 268, 654, 305, 32670, 256, 13983, 848, 3085, 1406, 1683, 9023, 267, 2011, 2230, 1281, 269, 674, 3739, 1169, 20704, 609, 31294, 669, 10280, 519, 12946, 779, 2702, 547, 26632, 622, 3002, 6383, 676, 1256, 3339, 11508, 2157, 563, 300, 2814, 1948, 274, 281, 1403, 972, 568, 513, 31294, 562, 21451, 593, 519, 12946, 8027, 621, 1590, 581, 6067, 1078, 563, 268, 654, 305, 32670, 256, 2368, 16546, 2097, 609, 968, 572, 4705, 16519, 3734, 892, 26971, 8704, 269, 1452, 616, 5921, 547, 581, 2760, 6067, 1078, 2507, 12601, 2207, 269, 8616, 267, 2576, 2219, 621, 1131, 1869, 581, 15931, 547, 3888, 513, 31294, 562, 21451, 1022, 1811, 269, 1411, 723, 547, 917, 1018, 779, 3330, 707, 5179, 1317, 31294, 15963, 616, 899, 5694, 13594, 269, 4495, 596, 25837, 519, 9594, 596, 666, 1406, 8631, 519, 31294, 1394, 3330, 519, 8546, 563, 5319, 965, 3983, 2853, 5225, 269, 1284, 991, 513, 6067, 2084, 4640, 267, 855, 811, 982, 713, 267, 649, 991, 513, 6067, 2084, 2528, 269, 14068, 6067, 2084, 2528, 786, 3548, 1434, 6067, 2084, 4640, 585, 12899, 269, 898, 1152, 3217, 835, 3983, 17076, 267, 1419, 1134, 10784, 1549, 539, 1107, 547, 6861, 606, 10697, 563, 294, 516, 848, 15963, 1810, 1406, 6146, 26971, 2507, 1004, 798, 563, 14188, 596, 30129, 681, 1329, 14259, 609, 12676, 307, 8299, 14647, 10298, 585, 4687, 713, 13181, 2376, 2336, 13425, 856, 938, 700, 18510, 2750, 13630, 267, 519, 16953, 3070, 547, 2057, 31294, 5829, 12946, 5821, 256, 9578, 267, 4647, 938, 476, 276, 28157, 3600, 15064, 700, 17128, 566, 26488, 606, 2500, 19149, 566, 5650, 547, 31294, 26971, 1318, 563, 2421, 667, 10005, 623, 1229, 320, 454, 4407, 538, 8402, 6807, 267, 918, 312, 1310, 519, 1948, 15551, 14641, 866, 10554, 267, 594, 3576, 513, 4663, 540, 519, 19664, 779, 2037, 11803, 536, 712, 2548, 1253, 20455, 543, 729, 4278, 2683, 711, 1152, 676, 741, 5386, 536, 712, 2548, 8737, 538, 2823, 9174, 29054, 855, 676, 741, 3007, 547, 3106, 543, 2189, 13319, 540, 3106, 782, 1472, 741, 2973, 9744, 269, 4256, 15931, 968, 3891, 13273, 666, 7227, 269, 8881, 1101, 892, 3948, 15069, 10039, 547, 782, 5826, 2238, 855, 538, 713, 1880, 2013, 267, 3254, 538, 1250, 8666, 267, 621, 729, 1031, 547, 11168, 519, 2956, 540, 9376, 13050, 543, 11090, 13050, 5773, 267, 849, 1634, 2429, 938, 2872, 607, 700, 5588, 302, 563, 19284, 16953, 4152, 267, 17974, 19149, 566, 610, 19089, 2079, 267, 782, 540, 799, 2638, 3684, 610, 6703, 2783, 1247, 909, 543, 4881, 267, 12972, 543, 13326, 2154, 6191, 547, 581, 9505, 1524, 543, 5265, 19526, 856, 267, 547, 15666, 547, 782, 3106, 6042, 269, 8307, 1287, 666, 519, 3334, 581, 15841, 593, 519, 14788, 338, 269, 901, 5849, 519, 2922, 10047, 540, 519, 14788, 338, 543, 12972, 28303, 547, 581, 1500, 1510, 1981, 540, 5945, 547, 5826, 10986, 563, 296, 666, 1406, 2566, 2614, 519, 2956, 540, 3106, 1282, 3028, 610, 5826, 540, 6191, 543, 5000, 596, 547, 1020, 811, 19782, 1190, 1793, 690, 753, 899, 968, 3891, 13273, 666, 7227, 269, 8881, 1101, 892, 547, 2721, 811, 3007, 547, 713, 1271, 6161, 1369, 707, 2030, 563, 2080, 616, 519, 3670, 3268, 547, 1246, 585, 1697, 700, 5588, 302, 829, 13013, 11190, 476, 24374, 271, 912, 272, 269, 16259, 585, 9505, 6658, 3248, 273, 269, 1744, 583, 1524, 519, 3684, 3248, 274, 269, 2598, 6618, 610, 20586, 519, 3684, 689, 519, 1648, 2707, 4433, 11850, 275, 269, 15233, 519, 9376, 719, 610, 11090, 13050, 3926, 4433, 264, 547, 519, 1648, 268, 18066, 908, 3926, 4433, 11850, 276, 269, 24793, 267, 1964, 1778, 267, 610, 6382, 11904, 2922, 782, 1761, 13818, 6740, 610, 15895, 1648, 269, 1403, 513, 7872, 6818, 585, 556, 3147, 636, 1637, 540, 13818, 1648, 267, 5781, 13182, 1282, 519, 3028, 543, 5826, 602, 971, 1648, 814, 711, 556, 3147, 636, 4327, 547, 13818, 2157, 282, 543, 2676, 277, 269, 7638, 1518, 519, 10072, 543, 632, 523, 1120, 1436, 540, 519, 3684, 563, 288, 2123, 4063, 585, 25816, 2548, 18798, 281, 952, 596, 10093, 1406, 2907, 267, 2119, 30010, 4158, 10538, 10217, 609, 707, 5172, 536, 712, 2548, 267, 1018, 513, 8949, 4999, 256, 24656, 666, 7227, 269, 7490, 4235, 19100, 563, 2421, 27118, 12756, 5548, 326, 5964, 267, 10911, 299, 454, 15253, 5962, 2011, 568, 835, 540, 519, 1614, 5207, 1942, 20848, 538, 946, 693, 707, 2030, 269, 898, 568, 849, 835, 540, 519, 2547, 9738, 538, 2474, 540, 1062, 20984, 269, 2274, 6545, 616, 7199, 543, 3653, 995, 267, 855, 1034, 1419, 16053, 269, 2274, 6545, 949, 2049, 9170, 538, 707, 19316, 2011, 1062, 269, 3371, 779, 938, 1592, 540, 1283, 4557, 1034, 1455, 20984, 912, 268, 22627, 593, 2011, 3761, 3515, 630, 335, 6346, 994, 268, 16797, 4172, 680, 619, 454, 268, 623, 928, 9964, 26561, 454, 268, 16242, 22124, 454, 268, 5794, 3819, 619, 454, 268, 1772, 15684, 17901, 454, 268, 6513, 17901, 454, 268, 4201, 11703, 8963, 20637, 454, 268, 5794, 3021, 2209, 454, 23804, 543, 21338, 891, 20984, 568, 606, 2653, 1259, 547, 2569, 1648, 3790, 267, 855, 4466, 873, 568, 711, 2653, 1317, 540, 4282, 6846, 269, 589, 1434, 2298, 24318, 21319, 18785, 666, 5873, 31285, 5103, 519, 19355, 6846, 540, 519, 12051, 6989, 563, 12606, 938, 700, 12788, 298, 590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9199, 1553, 20316, 1282, 519, 8445, 862, 5024, 1974, 568, 4742, 811, 543, 811, 3978, 538, 1082, 4872, 538, 3624, 269, 6452, 23847, 12605, 540, 6808, 2095, 593, 4683, 9897, 1282, 519, 8445, 862, 5024, 1974, 568, 835, 540, 519, 1883, 4909, 2042, 547, 2569, 6808, 20316, 543, 1628, 10995, 6283, 269, 901, 1957, 23083, 513, 1970, 21057, 543, 1164, 3887, 11797, 1505, 547, 2232, 519, 2591, 540, 519, 4540, 10758, 5456, 2562, 5937, 2464, 2316, 2793, 3582, 5619, 1505, 267, 799, 568, 14427, 267, 28537, 543, 814, 3908, 6111, 540, 2164, 269, 1635, 1210, 519, 2749, 17253, 6808, 267, 1514, 3354, 267, 6142, 267, 2551, 543, 824, 3059, 2749, 1239, 267, 649, 1895, 519, 7264, 262, 2951, 12331, 883, 2185, 2010, 281, 6972, 267, 1857, 6283, 267, 7841, 18302, 543, 1582, 28391, 1759, 593, 519, 3028, 8953, 543, 2951, 3845, 540, 6283, 267, 543, 5659, 543, 1293, 519, 1297, 540, 4357, 1286, 15143, 543, 7841, 18302, 18213, 2095, 676, 1210, 519, 7841, 18302, 10862, 6240, 543, 519, 20125, 2619, 5690, 267, 543, 3589, 519, 862, 5024, 8445, 1974, 1759, 593, 713, 1505, 269, 634, 4155, 6808, 2095, 1282, 519, 8445, 862, 5024, 1974, 568, 849, 10567, 269, 634, 14496, 543, 10727, 540, 519, 1505, 616, 7152, 676, 1210, 6093, 1239, 540, 18961, 7315, 2749, 607, 606, 1383, 269, 0, 2304, 2376, 568, 267, 10416, 267, 606, 2376, 602, 12662, 519, 5856, 779, 7521, 267, 2356, 267, 1010, 610, 1200, 5098, 267, 1472, 267, 855, 519, 1808, 4214, 568, 688, 5414, 267, 20718, 609, 602, 540, 513, 1867, 267, 18340, 267, 606, 3391, 267, 543, 30732, 2280, 267, 543, 1256, 513, 5618, 1650, 269, 10749, 723, 2141, 1044, 9833, 607, 13680, 543, 6101, 267, 855, 609, 519, 4417, 540, 519, 4950, 543, 5816, 3101, 267, 3594, 616, 849, 2139, 607, 5816, 9708, 269, 3958, 267, 3594, 1522, 581, 3370, 607, 552, 20486, 543, 3370, 593, 519, 4950, 269, 3509, 2367, 543, 2021, 945, 2328, 3594, 609, 519, 9837, 540, 13629, 873, 17492, 873, 547, 1205, 4598, 269, 4033, 1004, 2328, 873, 547, 2671, 741, 4555, 267, 2833, 267, 610, 9821, 563, 763, 3483, 540, 21882, 3594, 568, 3309, 267, 855, 10097, 1790, 3639, 14492, 782, 6054, 616, 2854, 547, 1459, 835, 6644, 267, 547, 17854, 610, 9414, 513, 3409, 267, 547, 7038, 267, 610, 547, 22321, 269, 898, 568, 606, 1271, 5057, 540, 2362, 2069, 585, 513, 2875, 547, 2328, 543, 29289, 513, 1305, 540, 3594, 593, 513, 1808, 1888, 269, 2311, 519, 1482, 942, 267, 1082, 20485, 786, 2503, 513, 2875, 547, 17492, 513, 1382, 1957, 593, 513, 1641, 1352, 2090, 269, 634, 1603, 1184, 5956, 1354, 1603, 519, 1101, 4845, 267, 1256, 1354, 7446, 513, 1888, 267, 610, 14045, 593, 513, 2012, 269, 634, 1557, 779, 3483, 267, 1247, 621, 31825, 519, 2278, 779, 1367, 5133, 267, 12582, 1406, 581, 1634, 855, 11129, 547, 581, 6829, 538, 513, 6073, 602, 779, 28505, 689, 519, 5467, 267, 799, 2306, 519, 1034, 2631, 563, 288, 9735, 1557, 1603, 5650, 5956, 609, 519, 5542, 540, 513, 5078, 1888, 267, 835, 602, 949, 581, 1634, 543, 12211, 547, 519, 1603, 3853, 269, 901, 568, 606, 1271, 851, 540, 519, 1557, 1603, 1184, 267, 607, 621, 2636, 519, 2278, 547, 6582, 741, 2093, 1354, 1603, 519, 1360, 1101, 5037, 269, 769, 1840, 267, 519, 6074, 1888, 814, 547, 581, 4277, 543, 10858, 267, 799, 2306, 621, 2009, 547, 12314, 519, 2376, 547, 1808, 1382, 543, 3450, 5773, 269, 634, 1641, 814, 547, 581, 1134, 7302, 4923, 547, 2327, 519, 1557, 779, 2497, 568, 9266, 543, 19016, 1227, 3280, 563, 5475, 7446, 519, 1318, 1888, 267, 519, 1603, 1895, 610, 5856, 5170, 519, 1603, 1184, 676, 14045, 593, 3617, 1603, 2511, 543, 2497, 269, 901, 568, 5310, 519, 1034, 1713, 1900, 538, 519, 2407, 1557, 1603, 1184, 607, 513, 4057, 5542, 540, 2511, 543, 3898, 666, 25010, 606, 6382, 1134, 27787, 1557, 269, 634, 6662, 540, 513, 1134, 27787, 2376, 1131, 581, 547, 23666, 519, 5467, 609, 835, 779, 1702, 267, 1982, 267, 543, 1603, 5578, 267, 607, 1134, 607, 547, 1397, 519, 1620, 540, 519, 1888, 269, 1677, 2322, 621, 8335, 267, 513, 1134, 27787, 1557, 814, 547, 581, 1134, 27787, 563, 763, 1603, 1895, 610, 5856, 1287, 23297, 513, 1603, 2511, 547, 9290, 1010, 610, 1200, 1603, 3340, 267, 607, 1134, 607, 547, 2769, 1010, 610, 1200, 8223, 540, 519, 1641, 269, 3509, 1053, 4782, 547, 2328, 741, 1378, 3594, 267, 4352, 1866, 949, 3442, 547, 946, 519, 6351, 540, 606, 1557, 11049, 3028, 269, 634, 3903, 1063, 3054, 610, 14139, 519, 2533, 540, 606, 1557, 11049, 3028, 5673, 593, 519, 2698, 2298, 540, 713, 3803, 2854, 1587, 269, 4107, 1053, 4782, 547, 2328, 741, 1378, 3594, 267, 607, 621, 3947, 873, 519, 4960, 547, 2123, 1125, 519, 1603, 865, 602, 621, 10742, 741, 7569, 269, 32167, 2812, 1210, 519, 2533, 540, 606, 1557, 11049, 3028, 949, 1964, 21407, 602, 519, 6364, 786, 4440, 2693, 581, 1134, 27787, 543, 2743, 609, 741, 4081, 4170, 563, 5475, 7446, 547, 2328, 610, 547, 946, 519, 6351, 540, 606, 1557, 11049, 6109, 267, 13844, 5955, 689, 519, 2754, 568, 1776, 1900, 269, 4014, 1082, 4213, 2709, 20822, 5955, 267, 713, 3884, 1406, 8209, 519, 2013, 607, 930, 1603, 6887, 4782, 547, 1205, 5955, 689, 513, 1880, 1367, 538, 519, 3919, 267, 899, 513, 7548, 269, 15775, 5955, 689, 513, 1808, 1367, 786, 948, 519, 2278, 547, 1451, 4010, 1018, 2127, 646, 610, 1352, 6499, 547, 2087, 2390, 267, 3079, 540, 2489, 8292, 269, 6271, 2601, 547, 4309, 8369, 689, 519, 2754, 568, 602, 10909, 616, 3622, 3833, 6297, 827, 17096, 267, 799, 666, 581, 513, 1966, 952, 519, 2816, 568, 2366, 547, 606, 4081, 4760, 269, 769, 1840, 267, 26687, 640, 5849, 602, 2818, 540, 519, 2319, 666, 1205, 9237, 5955, 1510, 2348, 547, 2626, 2055, 827, 945, 789, 616, 267, 799, 949, 581, 13943, 610, 14845, 269, 0, 268, 30799, 6651, 454, 268, 11670, 5288, 563, 268, 1215, 547, 16179, 2048, 6630, 290, 20371, 268, 11670, 18724, 788, 1653, 454, 8368, 2986, 12937, 454, 30531, 8314, 729, 2966, 607, 513, 5691, 2724, 1062, 602, 30417, 21438, 10827, 2456, 267, 855, 1281, 621, 6529, 547, 922, 3312, 5075, 286, 634, 9510, 15170, 5654, 1360, 1114, 1631, 267, 543, 621, 949, 1821, 5573, 2417, 1310, 6608, 9395, 523, 21888, 6042, 563, 1432, 12984, 519, 22731, 17496, 540, 11670, 888, 30531, 8314, 729, 5189, 676, 513, 17642, 788, 1653, 9896, 676, 9045, 25493, 26981, 600, 9369, 267, 513, 15554, 7716, 585, 606, 1367, 610, 513, 1895, 540, 1004, 945, 19424, 539, 513, 18228, 2518, 552, 2275, 1662, 1062, 602, 1131, 5512, 10479, 1652, 543, 3972, 1652, 8852, 5342, 1510, 10827, 2456, 269, 634, 1883, 3693, 540, 519, 1007, 2724, 1062, 568, 15139, 1436, 267, 607, 519, 3060, 568, 9738, 676, 782, 3755, 945, 666, 5732, 1491, 851, 538, 519, 1184, 540, 5464, 543, 1237, 1324, 8852, 267, 1775, 4318, 1421, 5599, 563, 11039, 267, 602, 4992, 1434, 593, 1957, 267, 543, 602, 1223, 581, 519, 2013, 538, 519, 1101, 1296, 540, 11670, 267, 855, 5555, 519, 3060, 814, 7930, 4957, 563, 30531, 8314, 568, 1631, 1031, 538, 2081, 602, 616, 711, 15095, 609, 26981, 600, 9369, 779, 17642, 788, 1653, 269, 1677, 2253, 609, 267, 922, 1797, 540, 5385, 4567, 814, 1044, 9561, 2666, 1813, 547, 519, 3665, 25359, 602, 814, 12042, 1229, 22278, 689, 16561, 21888, 11033, 679, 2527, 269, 16828, 267, 11670, 8694, 909, 607, 513, 4558, 540, 1871, 630, 306, 10976, 1070, 799, 7512, 2101, 5716, 547, 3180, 519, 11777, 585, 1761, 7024, 267, 3976, 32033, 922, 6991, 543, 3056, 547, 513, 7372, 8635, 538, 11777, 3892, 2066, 25963, 563, 25823, 25493, 779, 17642, 788, 1653, 7125, 585, 513, 17033, 623, 273, 303, 4528, 540, 5907, 6666, 602, 968, 30524, 1450, 2228, 11033, 547, 581, 2366, 2047, 689, 835, 5428, 547, 1776, 1510, 2469, 998, 513, 2883, 9872, 1848, 634, 1249, 602, 519, 2278, 19528, 22278, 543, 2228, 16450, 5693, 6920, 602, 11670, 729, 7620, 2966, 607, 513, 1797, 540, 5385, 267, 855, 602, 4567, 568, 711, 5078, 693, 713, 1448, 563, 1692, 5620, 6239, 1242, 9980, 885, 932, 6548, 519, 10794, 888, 1103, 519, 1101, 1296, 267, 519, 991, 585, 14291, 11670, 547, 535, 9332, 610, 5621, 23915, 814, 9141, 519, 4028, 4473, 540, 21438, 15377, 269, 2060, 21438, 15377, 543, 5599, 4238, 13671, 538, 519, 3946, 540, 1360, 1906, 267, 11670, 814, 8977, 539, 689, 922, 3355, 3239, 540, 513, 2146, 15129, 9263, 3562, 24406, 518, 630, 303, 273, 303, 264, 6666, 1062, 269, 5047, 267, 21438, 15377, 723, 1500, 922, 9153, 540, 26687, 640, 3592, 13061, 563, 7197, 6608, 2154, 21438, 21888, 4213, 609, 13646, 538, 741, 22875, 547, 20818, 918, 312, 290, 19027, 593, 3755, 267, 3976, 1818, 11670, 8852, 1413, 1454, 811, 2147, 547, 2757, 8804, 8852, 563, 23338, 1242, 15377, 723, 1185, 519, 6574, 9295, 547, 5009, 519, 10073, 540, 11670, 269, 1717, 267, 519, 8560, 540, 15170, 2066, 782, 22097, 3357, 693, 513, 1942, 1107, 11670, 814, 4503, 922, 3312, 10305, 540, 606, 552, 2275, 1662, 1062, 602, 568, 11207, 18228, 543, 3972, 1652, 269, 20305, 1185, 547, 3972, 21438, 15377, 543, 3180, 741, 21888, 7482, 609, 873, 267, 799, 3006, 1185, 10565, 4539, 1107, 1294, 24398, 269, 717, 2135, 267, 585, 1383, 563, 299, 756, 1068, 12579, 15527, 609, 519, 4473, 540, 519, 18228, 8804, 630, 5719, 22380, 264, 7678, 267, 609, 18228, 15377, 630, 291, 13052, 525, 264, 7175, 3755, 547, 4497, 538, 623, 273, 303, 23194, 1510, 4758, 909, 26692, 540, 21888, 7482, 269, 1717, 267, 607, 540, 2221, 267, 667, 13052, 525, 616, 711, 1483, 15712, 547, 21438, 13413, 267, 4352, 789, 949, 2744, 2344, 2671, 1310, 519, 12900, 540, 674, 307, 311, 269, 2311, 519, 942, 540, 1603, 267, 519, 3232, 4320, 593, 1133, 529, 342, 777, 267, 519, 4102, 667, 13052, 267, 568, 1447, 982, 1269, 272, 5479, 269, 2201, 645, 12099, 267, 621, 20489, 1269, 1428, 5479, 563, 5970, 717, 7517, 543, 16735, 5142, 27439, 547, 519, 7351, 3557, 540, 16457, 888, 29012, 267, 1480, 2470, 814, 9927, 606, 552, 6549, 9107, 5117, 883, 513, 6093, 13470, 10537, 2497, 609, 16385, 543, 2462, 5716, 693, 519, 1283, 269, 769, 519, 1101, 1296, 267, 605, 27360, 564, 29450, 1235, 543, 11309, 12579, 2219, 789, 1185, 741, 4998, 1062, 547, 5385, 1871, 1510, 3791, 6105, 269, 1717, 267, 519, 11670, 3060, 814, 1044, 5555, 24401, 6150, 676, 1480, 2470, 267, 799, 568, 7683, 3168, 547, 723, 607, 1454, 1852, 607, 2009, 563, 1103, 519, 1439, 267, 11670, 568, 1454, 811, 1114, 2221, 912, 268, 5502, 540, 3020, 15139, 1436, 267, 519, 2344, 568, 13856, 676, 21438, 15377, 543, 513, 1906, 19379, 543, 6789, 2975, 9755, 602, 666, 4324, 689, 811, 1852, 543, 1761, 12374, 563, 268, 1323, 7716, 640, 729, 8719, 609, 29660, 17376, 643, 2329, 1813, 547, 519, 918, 312, 290, 4170, 563, 268, 634, 1797, 540, 5385, 4567, 568, 13061, 1813, 547, 519, 3552, 15088, 3361, 676, 25127, 543, 2810, 11834, 12375, 267, 799, 1810, 1406, 5000, 25132, 599, 906, 15042, 269, 11670, 568, 811, 540, 606, 590, 10976, 891, 2395, 563, 268, 11670, 3892, 2066, 25963, 568, 865, 21376, 602, 621, 3274, 9356, 519, 15796, 538, 2757, 8804, 267, 538, 799, 476, 272, 260, 540, 2475, 9520, 3180, 811, 982, 3368, 540, 519, 2754, 8843, 563, 763, 1249, 602, 11670, 4682, 13416, 7948, 1406, 979, 29462, 676, 22124, 267, 799, 786, 9090, 9395, 523, 519, 3652, 563, 3674, 674, 307, 311, 519, 7926, 10261, 539, 547, 2974, 615, 538, 22769, 888, 8802, 2827, 786, 581, 519, 2063, 2101, 3815, 602, 786, 771, 29664, 519, 3312, 31672, 540, 11670, 269, 1879, 621, 2501, 547, 15725, 11670, 543, 519, 21888, 2344, 267, 519, 2243, 814, 2760, 1044, 827, 952, 855, 950, 269, 634, 674, 307, 311, 12416, 568, 711, 519, 2680, 2877, 547, 20818, 6042, 855, 568, 519, 2680, 602, 786, 2693, 17108, 519, 10073, 540, 21888, 3652, 538, 519, 2475, 563, 2467, 3100, 547, 581, 7864, 22027, 602, 674, 307, 311, 568, 513, 1907, 2813, 676, 7939, 18793, 267, 543, 621, 1131, 723, 4547, 2640, 2901, 4666, 610, 9800, 269, 1403, 621, 941, 1869, 2661, 267, 674, 307, 311, 1131, 723, 6462, 512, 7660, 7939, 538, 519, 2475, 267, 607, 13653, 6341, 7813, 2006, 17054, 630, 306 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 322, 2086, 2643, 582, 1886, 748, 267, 610, 9647, 582, 1886, 748, 269, 4165, 1667, 616, 6140, 15067, 6652, 1602, 836, 5573, 267, 855, 3006, 454, 684, 529, 1602, 836, 5573, 267, 543, 1930, 1279, 2595, 3373, 269, 2717, 6352, 9274, 1419, 3668, 606, 608, 710, 269, 22500, 568, 1419, 2582, 454, 572, 17660, 269, 7736, 657, 11279, 568, 15534, 538, 519, 5452, 563, 763, 715, 1690, 611, 2297, 593, 513, 2898, 616, 2808, 811, 6508, 267, 610, 4359, 982, 519, 31527, 10420, 527, 19687, 454, 16216, 1597, 5103, 519, 9120, 9065, 776, 1040, 1358, 1397, 1082, 4191, 540, 27536, 5786, 267, 799, 568, 2808, 454, 320, 12343, 540, 10205, 532, 5521, 26853, 267, 543, 4667, 547, 1246, 513, 2489, 7678, 540, 811, 454, 338, 2133, 1242, 9249, 267, 538, 2469, 689, 4195, 267, 547, 15741, 880, 543, 6368, 7286, 5054, 269, 634, 4557, 454, 325, 7056, 625, 1369, 715, 1690, 611, 2297, 616, 3989, 5631, 676, 30462, 4162, 267, 2705, 1614, 454, 325, 7056, 625, 2270, 14311, 7286, 25281, 269, 1452, 1614, 3885, 616, 30142, 573, 8205, 576, 2801, 630, 5228, 519, 454, 31528, 5601, 623, 846, 573, 517, 1070, 595, 2096, 29081, 576, 19687, 630, 5228, 519, 5259, 595, 2096, 29081, 576, 513, 1216, 562, 8233, 610, 683, 516, 573, 267, 606, 454, 3430, 754, 656, 547, 623, 846, 573, 517, 264, 849, 1634, 607, 519, 2494, 622, 324, 6371, 1920, 267, 543, 2098, 8803, 19687, 630, 5228, 519, 5259, 454, 345, 8803, 910, 2495, 575, 2273, 548, 267, 12966, 610, 7997, 264, 849, 1634, 607, 519, 552, 601, 6371, 1920, 269, 8422, 824, 3885, 538, 454, 301, 1690, 611, 2297, 2270, 519, 2947, 15741, 880, 1216, 25281, 5018, 693, 519, 4098, 540, 713, 1957, 602, 616, 454, 338, 2210, 830, 24027, 609, 855, 711, 2808, 547, 581, 694, 698, 337, 13293, 269, 681, 6269, 807, 576, 2801, 267, 519, 667, 3558, 18290, 1920, 2676, 935, 13935, 681, 6269, 807, 269, 8000, 558, 690, 517, 19687, 267, 519, 623, 1180, 15634, 1920, 267, 3568, 8000, 558, 690, 17662, 267, 543, 454, 313, 2335, 7865, 961, 807, 576, 2801, 267, 519, 24125, 539, 623, 1180, 15634, 1920, 267, 3568, 2098, 2335, 7865, 961, 807, 267, 700, 788, 10042, 6511, 543, 1325, 6533, 807, 563, 763, 1920, 30142, 573, 8205, 576, 2801, 3568, 1152, 519, 12593, 30142, 573, 8205, 269, 634, 1920, 595, 2096, 29081, 576, 19687, 454, 935, 13935, 519, 25281, 595, 2096, 29081, 576, 320, 267, 5204, 2590, 18754, 267, 2549, 874, 756, 12994, 267, 16199, 617, 2544, 543, 774, 531, 817, 30705, 1258, 269, 634, 454, 26967, 2098, 739, 5028, 3568, 519, 25281, 2098, 739, 5028, 267, 670, 2678, 9926, 739, 5028, 543, 24695, 961, 2214, 611, 1460, 269, 634, 3885, 454, 303, 657, 573, 8205, 576, 2801, 543, 2098, 8803, 19687, 616, 2808, 547, 581, 811, 5702, 1644, 547, 1142, 824, 982, 789, 454, 732, 547, 595, 2096, 29081, 576, 19687, 269, 595, 2096, 29081, 576, 19687, 568, 538, 1249, 2808, 547, 581, 1034, 5702, 1644, 547, 454, 763, 4162, 602, 5581, 30142, 573, 8205, 576, 2801, 1331, 519, 1739, 269, 1358, 616, 21064, 267, 543, 723, 454, 331, 831, 958, 24609, 539, 17893, 617, 6053, 1212, 9429, 29127, 2345, 269, 570, 2335, 26448, 2281, 1459, 269, 966, 6018, 15985, 956, 454, 732, 6806, 543, 789, 3668, 8043, 4625, 269, 853, 2114, 616, 16245, 269, 27817, 616, 14595, 267, 1253, 747, 3585, 454, 1551, 6548, 267, 543, 14270, 3634, 693, 519, 795, 15802, 540, 1352, 987, 543, 16405, 267, 609, 519, 1352, 987, 1373, 10770, 1310, 454, 1492, 16405, 814, 1044, 8774, 269, 26540, 616, 3501, 267, 5089, 850, 267, 605, 614, 663, 9317, 267, 28920, 559, 3585, 3542, 3990, 454, 663, 4535, 538, 12363, 26389, 269, 634, 26389, 2933, 616, 5705, 2105, 676, 536, 847, 338, 267, 855, 711, 1142, 454, 785, 1339, 8768, 269, 634, 829, 1014, 628, 568, 4336, 899, 610, 15534, 269, 1703, 568, 1152, 835, 15790, 601, 609, 513, 5089, 850, 454, 560, 7950, 269, 4165, 1667, 616, 849, 5089, 850, 269, 634, 14947, 9274, 616, 27129, 748, 267, 543, 3668, 606, 608, 710, 563, 303, 3326, 1588, 568, 28920, 559, 748, 269, 634, 2582, 9065, 776, 568, 9120, 269, 634, 9065, 2544, 568, 22072, 543, 9647, 582, 1886, 748, 563, 763, 4829, 568, 26255, 656, 538, 1216, 269, 23268, 19330, 1439, 657, 11279, 543, 519, 21872, 814, 513, 14694, 28422, 344, 1194, 517, 543, 513, 454, 763, 4162, 602, 5581, 595, 2096, 29081, 576, 19687, 1331, 519, 1739, 269, 634, 29127, 727, 949, 581, 454, 615, 321, 17675, 543, 17893, 617, 658, 610, 29762, 543, 1623, 335, 617, 658, 269, 570, 2335, 26448, 2281, 1459, 269, 26751, 17632, 616, 454, 331, 22326, 538, 782, 8031, 269, 27817, 616, 14595, 610, 6587, 543, 1253, 747, 748, 269, 634, 21828, 1352, 987, 568, 1930, 454, 663, 972, 568, 513, 14270, 2544, 693, 519, 795, 15802, 540, 16405, 543, 1352, 987, 269, 2480, 2297, 616, 1459, 693, 519, 9136, 269, 26540, 454, 732, 796, 21361, 543, 519, 2371, 616, 1019, 4141, 4109, 269, 1358, 3668, 513, 829, 1014, 628, 4625, 543, 616, 2901, 4535, 538, 454, 20791, 524, 2096, 525, 610, 538, 8424, 538, 519, 6978, 4949, 2812, 269, 1703, 616, 1079, 3982, 15790, 1564, 1142, 609, 513, 5094, 2511, 563, 763, 30124, 616, 9120, 543, 519, 1142, 9647, 582, 1886, 748, 9065, 2544, 568, 22072, 1369, 922, 15790, 601, 269, 634, 606, 750, 338, 454, 732, 19610, 543, 2901, 5089, 850, 610, 5176, 5089, 850, 269, 634, 14947, 9274, 3668, 606, 608, 710, 267, 616, 27129, 748, 2676, 663, 909, 547, 561, 6515, 1279, 269, 15724, 1588, 568, 28920, 559, 748, 269, 634, 4829, 568, 2582, 6079, 539, 543, 967, 8811, 529, 1417, 563, 763, 4162, 602, 5581, 2098, 8803, 19687, 1331, 519, 1739, 269, 12518, 616, 21064, 543, 519, 454, 9071, 714, 2345, 949, 581, 16321, 3585, 5394, 2989, 269, 10910, 714, 727, 1212, 10134, 1623, 335, 617, 6053, 538, 670, 2678, 9926, 739, 5028, 543, 454, 3000, 641, 617, 6053, 538, 2098, 739, 5028, 543, 24695, 961, 2214, 611, 1460, 269, 1452, 2371, 3668, 512, 2335, 26448, 2281, 269, 27817, 616, 454, 531, 1181, 622, 543, 4122, 1253, 747, 748, 269, 634, 3762, 616, 14270, 3634, 267, 543, 519, 1352, 987, 949, 581, 1930, 610, 454, 743, 2216, 267, 543, 949, 581, 1166, 6548, 269, 26540, 616, 796, 21361, 543, 11231, 538, 1079, 9343, 593, 835, 2427, 540, 513, 454, 29788, 1084, 539, 838, 611, 1460, 543, 16537, 650, 622, 543, 588, 3133, 622, 5810, 616, 13141, 2216, 1369, 519, 1482, 838, 611, 1460, 4849, 454, 514, 24695, 961, 2214, 611, 1460, 799, 568, 1019, 4141, 4109, 269, 10738, 519, 838, 611, 1460, 1569, 800, 547, 519, 5810, 616, 1507, 454, 321, 847, 3697, 3889, 540, 7164, 24466, 5169, 1572, 30636, 659, 3121, 269, 634, 5810, 616, 454, 1278, 3772, 15877, 513, 829, 1014, 628, 543, 5705, 2056, 536, 847, 338, 269, 623, 626, 650, 622, 5810, 2270, 1079, 15790, 1564, 8678, 454, 1729, 1106, 513, 7623, 796, 559, 22811, 9065, 776, 267, 543, 2270, 1079, 1666, 958, 598, 333, 622, 6163, 269, 634, 9065, 2737, 616, 454, 338, 565, 3202, 543, 9647, 582, 1886, 748, 269, 853, 3133, 622, 5810, 2874, 540, 513, 2582, 5089, 850, 26176, 523, 609, 1079, 606, 750, 338, 563, 303, 18543, 9274, 616, 27129, 748, 543, 26853, 568, 28920, 559, 748, 269, 22500, 568, 2356, 513, 546, 745, 701, 269, 634, 6079, 454, 331, 2931, 1439, 657, 11279, 543, 519, 21872, 814, 513, 1666, 958, 6806, 543, 1352, 987, 532, 28422, 344, 1194, 517, 14084, 538, 513, 9240, 913, 454, 1993, 23762, 3834, 665, 582, 2643, 563, 4263, 713, 1448, 594, 1589, 621, 1131, 581, 3730, 547, 4766, 13713, 1018, 3954, 19134, 690, 630, 3192, 271, 264, 814, 547, 2161, 454, 12671, 694, 698, 14993, 30953, 269, 1261, 24508, 519, 476, 1321, 25281, 2059, 519, 1482, 3515, 811, 610, 1447, 607, 454, 290, 1258, 638, 626, 1281, 269, 1261, 4025, 13661, 31647, 267, 16199, 32166, 543, 774, 531, 817, 807, 538, 519, 1920, 31527, 10420, 527, 19687, 563, 8253, 1454, 3017, 972, 269, 1809, 646, 4422, 593, 547, 1747, 1142, 12593, 538, 513, 5094, 1016, 26967, 269, 634, 454, 22764, 1016, 325, 7056, 625, 646, 17767, 616, 281, 13149, 966, 718, 529, 1676, 1470, 728, 2801, 630, 935, 8877, 13661, 31647, 1070, 774, 531, 817, 328, 1355, 2801, 454, 263, 935, 8877, 774, 531, 817, 807, 1070, 543, 16199, 17232, 1355, 2801, 630, 514, 799, 646, 17337, 519, 12593, 16199, 32166, 909, 2417, 454, 20041, 476, 275, 6810, 1040, 898, 568, 711, 2312, 875, 1082, 824, 25281, 646, 1131, 931, 793, 547, 31527, 10420, 527, 19687, 2676, 20357, 646, 2760, 19528, 1022, 824, 982, 519, 694, 698, 14993, 25281, 646, 568, 7255, 609, 269, 901, 454, 650, 755, 6233, 875, 2352, 621, 568, 547, 960, 609, 3454, 517, 558, 625, 602, 798, 711, 8831, 909, 3564, 519, 1920, 454, 24038, 267, 789, 798, 711, 948, 30431, 622, 3347, 1851, 3677, 2516, 540, 2371, 563, 763, 6967, 25281, 646, 931, 793, 338, 547, 519, 1920, 8000, 558, 690, 17662, 19687, 267, 20803, 1614, 1016, 325, 7056, 625, 912, 303, 657, 573, 517, 1470, 728, 2801, 267, 595, 2096, 29081, 576, 1355, 2801, 267, 543, 2098, 8803, 1355, 2801, 269, 1261, 17337, 519, 12593, 2098, 739, 5028, 883, 547, 476, 273, 454, 11357, 2102, 5028, 269, 901, 568, 849, 711, 971, 513, 27290, 22576, 689, 595, 1258, 638, 626, 267, 519, 2596, 3017, 1373, 454, 7474, 595, 1258, 638, 626, 15109, 519, 4162, 540, 891, 476, 274, 1016, 325, 7056, 625, 547, 581, 2178, 2614, 547, 8237, 454, 29442, 1055, 689, 8000, 558, 690, 17662, 19687, 543, 2285, 873, 2407, 1920, 4567, 269, 11088, 972, 568, 513, 1966, 609, 454, 2254, 6616, 875, 1804, 3954, 19134, 690, 630, 3192, 271, 264, 15109, 519, 3003, 8000, 558, 690, 17662, 19687, 1920, 547, 581, 2676, 26238, 1152, 519, 694, 698, 14993, 25281, 616, 5018, 267, 865, 972, 568, 1100, 1259, 547, 9305, 875, 646, 15109, 873, 454, 22366, 547, 824, 2516, 540, 2371, 563, 291, 523, 19134, 690, 630, 3192, 271, 264, 17767, 476, 5392, 2249, 540, 694, 698, 14993, 267, 476, 1691, 538, 31527, 10420, 527, 19687, 543, 476, 3374, 538, 454, 22025, 558, 690, 17662, 19687, 269, 1261, 30193, 519, 25281, 6306, 689, 1142, 824, 7361, 1759, 593, 27536, 454, 30726, 2524, 269, 1717, 646, 1281, 4063, 602, 621, 568, 1419, 1360, 2352, 547, 3489, 15496, 15013, 454, 1721, 6476, 543, 602, 1082, 10786, 7559, 15013, 616, 25062, 865, 646, 1281, 1331, 930, 3543, 894, 454, 10623, 2137, 538, 1010, 1883, 547, 10646, 519, 25281, 607, 1134, 269, 3371, 5205, 513, 5758, 540, 930, 540, 519, 454, 10972, 1725, 8251, 2934, 585, 1142, 12593, 563, 272, 264, 13661, 31647, 281, 630, 5228, 519, 5259, 679, 1341, 10300, 639, 910, 538, 6070, 994, 293, 3271, 531, 910, 26597, 5810, 538, 5256, 4870, 2803, 12412, 267, 8768, 19512, 1033, 2286, 1354, 15496, 543, 13735, 547, 2627, 267, 14947, 9274, 1863, 454, 309, 1122, 564, 894, 910, 3762, 1253, 747, 748, 267, 15877, 14270, 3121, 267, 476, 272, 476, 272, 270, 275, 547, 476, 272, 476, 274, 270, 275, 4699, 2647, 267, 711, 21630, 883, 454, 7065, 1470, 548, 543, 16405, 282, 29127, 727, 281, 594, 4699, 5394, 267, 4988, 609, 10770, 3109, 22204, 267, 5072, 10260, 899, 563, 273, 264, 774, 531, 817, 807, 281, 630, 5228, 519, 5259, 774, 531, 817, 910, 4262, 994, 293, 3271, 531, 910, 17266, 8768, 538, 5256, 4870, 2803, 12412, 267, 8768, 8774, 1310, 15496, 267, 14947, 9274, 8774, 538, 1395, 559, 6134, 11800, 267, 476, 277, 268, 279, 6163, 5258, 883, 476, 273, 588, 10176, 1092, 538, 4775, 8768, 454, 309, 1122, 564, 894, 910, 3762, 281, 1253, 747, 748, 267, 15877, 14270, 3121, 267, 711, 21630, 883, 4620, 1470, 548, 543, 16405, 267, 476, 272, 270, 273, 476, 272, 4699, 454, 4204, 282, 29127, 727, 281, 476, 272, 270, 273, 4699, 5394, 267, 2028, 3941, 1279, 2595, 3373, 9240, 3437, 267, 4336, 693, 1142, 6843, 563, 274, 264, 16199, 32166, 281, 630, 5228, 519, 5259, 10300, 639, 1341, 943, 10042, 910, 6070, 15962, 994, 293, 3271, 531, 910, 2582, 8768, 538, 5256, 4870, 2803, 12412, 267, 8768, 8774, 1310, 15496, 267, 14947, 538, 1395, 559, 6134, 11800, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 316, 2930, 2319, 602, 649, 1185, 593, 3135, 267, 543, 519, 7366, 540, 8030, 267, 6300, 22286, 3233, 13492, 5443, 543, 5234, 3297, 873, 3034, 12749, 3239, 5491, 281, 8419, 5295, 543, 8752 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3710, 538, 3244, 592, 1074, 607, 2016, 2630, 563, 2080, 267, 519, 2361, 1699, 1403, 543, 5397, 3432, 530, 616, 9738, 693, 476, 271, 543, 2361, 6453, 568, 454, 10852, 22633, 693, 476, 1911, 18699, 676, 513, 6417, 6453, 2707, 563, 17584, 631, 5588, 3036, 26827, 21822, 5058, 6730, 28132, 4629, 299, 274, 454, 5522, 582, 540, 2361, 1699, 912, 763, 546, 322, 5179, 6724, 616, 9411, 3330, 519, 9823, 3684, 3625, 563, 5522, 582, 540, 6186, 1155, 1699, 281, 0, 258, 6742, 532, 1446, 630, 321, 23293, 1062, 2020, 263, 16446, 20526, 689, 6742, 532, 1446, 630, 709, 30592, 1062, 4917, 2690, 519, 2489, 2213, 6310, 1523, 267, 1294, 6742, 532, 1446, 630, 22238, 1464, 3069, 6393, 288, 12004, 532, 1446, 568, 1022, 540, 513, 1362, 540, 25919, 2994, 602, 12090, 689, 543, 941, 2442, 538, 476, 1240, 628, 2540, 5333, 269, 634, 14724, 540, 891, 2994, 729, 2966, 585, 513, 3014, 538, 799, 519, 12464, 2401, 17993, 1010, 7196, 952, 513, 11777, 2501, 909, 9843, 543, 19380, 621, 952, 519, 11777, 2501, 909, 21217, 269, 634, 4640, 1185, 519, 12464, 2401, 5595, 1010, 914, 1310, 1169, 2530, 267, 865, 602, 519, 1101, 3094, 1131, 9156, 782, 3105, 9271, 7132, 3094, 513, 7443, 3160, 547, 519, 3312, 7196, 269, 634, 12004, 532, 1446, 4640, 814, 1044, 4294, 547, 13193, 30592, 607, 1134, 267, 607, 519, 5506, 540, 18644, 2901, 2699, 610, 3109, 568, 2673, 547, 476, 2004, 260, 780, 7712, 513, 12464, 2401, 609, 12808, 5763, 786, 267, 3592, 15983, 267, 5555, 16212, 9843, 267, 519, 12004, 532, 1446, 25919, 4640, 729, 2938, 607, 513, 2386, 3364, 676, 1346, 945, 23647, 621, 269, 2986, 1576, 267, 9039, 540, 519, 12464, 6840, 538, 1249, 22234, 12808, 5763, 267, 543, 519, 12825, 2208, 540, 519, 914, 338, 1131, 5555, 22625, 834, 684, 331, 13806, 257, 12464, 6840, 945, 8359, 547, 946, 519, 12004, 532, 1446, 269, 898, 568, 4061, 513, 1434, 1383, 540, 513, 26626, 321, 3892, 1107, 519, 12464, 2401, 2356, 17993, 513, 1507, 2121, 8007, 267, 3976, 17729, 547, 723, 513, 3280, 4640, 269, 1717, 267, 519, 12464, 2401, 781, 4397, 1871, 1281, 8197, 2611, 4642, 630, 528, 1447, 982, 4642, 264, 1317, 519, 1507, 5506, 602, 646, 786, 7985, 513, 21472, 2530, 4010, 21356, 609, 1010, 4397, 2744, 269, 630, 1103, 513, 25877, 267, 519, 4397, 1871, 568, 2942, 267, 1813, 547, 519, 2777, 781, 6316, 4700, 634, 10171, 540, 21472, 2530, 949, 711, 1256, 581, 1360, 1507, 269, 634, 914, 2450, 14380, 28354, 269, 901, 267, 5916, 609, 519, 1249, 602, 12673, 540, 15654, 9271, 2965, 2049, 811, 1419, 982, 1455, 20932, 5267, 267, 666, 22625, 513, 12464, 2401, 3533, 780, 290, 553, 3626, 25919, 7182, 9004, 946, 540, 519, 12004, 532, 1446, 4640, 780, 1012, 2271, 30698, 2079, 692, 10112, 11167, 602, 519, 3094, 15828, 1601, 4093, 540, 1142, 914, 616, 4830, 543, 1541, 1227, 7856, 4351, 4632, 267, 519, 16069, 942, 814, 13113, 4397, 1871, 16804, 322, 2787, 2877, 316, 901, 1175, 5809, 519, 1739, 4661, 267, 7713, 1946, 519, 25919, 1062, 14543, 281, 4595, 20772, 568, 5276, 267, 519, 4397, 1871, 540, 513, 3126, 540, 914, 338, 568, 1175, 519, 2040, 540, 519, 4397, 1871, 540, 1142, 914, 16804, 706, 321, 1190, 9948, 4595, 538, 971, 3756, 540, 4960, 519, 914, 338, 616, 4830, 267, 519, 20772, 540, 1142, 914, 1281, 711, 4096, 593, 2436, 596, 5892, 4465, 610, 4503, 269, 769, 1034, 25877, 3756, 267, 519, 4397, 1871, 540, 1022, 1367, 914, 568, 2942, 267, 865, 519, 2040, 540, 6266, 540, 2942, 2338, 568, 849, 2141, 2469, 547, 581, 2942, 780, 763, 12004, 532, 1446, 4640, 14543, 1256, 609, 30898, 15903, 16069, 942, 267, 607, 1279, 607, 972, 568, 513, 3970, 593, 15271, 610, 593, 519, 914, 338, 630, 6518, 616, 849, 3020, 538, 2259, 1040, 314, 272, 316, 898, 568, 1152, 609, 30898, 15903, 5763, 267, 914, 338, 543, 942, 602, 519, 12004, 532, 1446, 3587, 513, 10888, 4640, 780, 1012, 19556, 2079, 692, 3080, 5180, 540, 519, 4998, 1242, 12004, 532, 1446, 1510, 942, 610, 5491, 10148, 666, 581, 19775, 28879, 607, 5205, 269, 2913, 519, 11777, 19184, 525, 581, 6719, 676, 513, 5311, 2473, 271, 267, 2473, 272, 267, 2560, 540, 4830, 4351, 4632, 267, 1142, 540, 799, 568, 3160, 547, 670, 609, 5506, 533, 267, 543, 570, 609, 5506, 7117, 815, 476, 272, 1107, 533, 269, 2913, 715, 581, 942, 540, 5920, 540, 519, 1101, 670, 282, 538, 824, 1913, 267, 2473, 271, 267, 2473, 272, 267, 2560, 267, 2473, 301, 1700, 272, 815, 570, 267, 543, 2473, 301, 815, 670, 269, 1403, 519, 11777, 2760, 2982, 670, 267, 649, 2328, 715, 815, 3980, 508, 269, 715, 568, 3294, 513, 4351, 4756, 1317, 621, 5673, 593, 519, 4351, 4093, 540, 519, 11777, 19184, 525, 780, 1103, 519, 1101, 715, 1107, 476, 272, 11777, 19184, 525, 267, 519, 6345, 1739, 519, 12004, 532, 1446, 4640, 19380, 476, 272, 267, 476, 273, 267, 2560, 267, 476, 273, 301, 1700, 272, 4559, 267, 7213, 6819, 513, 2698, 2530, 540, 476, 273, 301, 6567, 476, 272, 269, 2201, 519, 715, 628, 19184, 267, 972, 568, 513, 3094, 540, 476, 273, 301, 4559, 267, 4611, 538, 513, 2121, 2744, 540, 476, 272, 1770, 936, 519, 1101, 715, 19184, 525, 269, 1280, 1383, 267, 15475, 519, 1101, 2185, 11777, 19184, 525, 616, 570, 267, 570, 267, 570, 267, 670, 1818, 715, 815, 476, 274, 269, 634, 914, 30004, 19380, 476, 272, 267, 476, 273, 267, 543, 476, 275, 4559, 593, 519, 1101, 1614, 19184, 525, 267, 585, 513, 2698, 2530, 540, 476, 278, 4559, 267, 1287, 17993, 476, 279, 4559, 593, 519, 8772, 19184, 267, 585, 513, 2121, 2744, 540, 476, 272, 1770, 269, 1306, 1279, 607, 519, 11777, 5555, 2982, 9843, 267, 519, 25919, 6345, 30877, 513, 2744, 780, 1432, 568, 519, 5506, 602, 715, 815, 3980, 508, 267, 1775, 4318, 1421, 602, 519, 11777, 2760, 2982, 9843, 286, 22682, 621, 666, 581, 1100, 3152, 982, 519, 5506, 602, 519, 1101, 737, 19184, 525, 616, 782, 570, 282, 713, 5506, 568, 7117, 330, 269, 28791, 7117, 815, 476, 272, 267, 519, 1152, 1875, 17463, 1297, 1447, 982, 610, 3160, 547, 7117, 330, 585, 782, 2418, 540, 737, 568, 4642, 269, 898, 5205, 602, 715, 568, 13113, 609, 5506, 476, 272, 282, 4061, 609, 5506, 476, 272, 267, 519, 11777, 786, 5555, 1397, 9843, 543, 519, 914, 30004, 786, 8275, 513, 2121, 2744, 540, 476, 272, 1770, 780, 1607, 3959, 540, 519, 4998, 1242, 4528, 540, 519, 12004, 532, 1446, 6589, 585, 519, 16007, 540, 519, 2856, 269, 769, 2259, 267, 519, 4998, 1242, 4528, 666, 1152, 581, 4114, 13846, 267, 585, 1079, 4128, 269, 1133, 15905, 5491, 547, 8804, 7654, 24666, 9271, 1282, 1279, 8255, 540, 21217, 568, 711, 2139, 267, 543, 972, 568, 513, 3970, 547, 519, 1297, 540, 11777, 19184, 525, 602, 666, 581, 5340, 538, 1022, 13113, 1974, 540, 942, 267, 840, 6984, 519, 7872, 540, 4730, 1279, 2614, 547, 7747, 1360, 1279, 8255, 540, 21217, 780, 2026, 606, 1383, 267, 2015, 513, 914, 30004, 609, 606, 2139, 19539, 267, 610, 5491, 267, 540, 1269, 273, 3867, 6246, 4151, 630, 32191, 476, 280, 18265, 264, 4559, 267, 10199, 3368, 519, 2450, 540, 519, 1699, 2475, 3084, 7963, 538, 9489, 269, 2060, 713, 1360, 1804, 19539, 267, 519, 6345, 666, 6488, 547, 6336, 593, 519, 1101, 476, 5655, 19184, 525, 267, 855, 513, 2530, 593, 519, 476, 6246, 6113, 3112, 581, 4988, 269, 634, 5506, 540, 9561, 593, 519, 1101, 476, 5655, 19184, 525, 568, 1269, 336, 3867, 5655, 20954, 799, 786, 581, 513, 1360, 1507, 1297, 8259, 21217, 616, 5176, 1978, 593, 1142, 19184, 269, 769, 519, 4023, 2013, 1141, 1269, 336, 284, 272, 270, 273, 8961, 649, 1223, 2503, 547, 7227, 1945, 593, 519, 1931, 540, 1269, 273, 3867, 5655, 4151, 19184, 525, 1354, 7487, 476, 5655, 15654, 21217, 282, 19184, 532, 11113, 693, 519, 2557, 540, 835, 19184, 829, 2034, 267, 713, 1131, 2154, 5111, 476, 29344, 267, 1822, 1296, 780, 1607, 4528, 540, 519, 3014, 568, 2693, 547, 581, 796, 3430, 847, 633, 547, 1312, 5716, 269, 634, 6345, 609, 519, 19539, 666, 2503, 547, 1294, 513, 2212, 543, 2744, 835, 1770, 593, 3328, 1169, 1079, 19184, 525, 267, 610, 1079, 7643, 267, 7222, 547, 606, 5993, 4747, 540, 827, 476, 4029, 269, 277, 2929, 4559, 2394, 9568, 630, 5655, 21217, 264, 4386, 269, 901, 568, 1152, 513, 476, 271, 269, 19740, 277, 2600, 2132, 593, 519, 19539, 693, 1981, 269, 634, 824, 6345, 666, 1413, 4464, 547, 11931, 9271, 540, 476, 4029, 269, 277, 2929, 4559, 829, 1032, 2394, 18644, 606, 11212, 1804, 13544, 13607, 267, 4440, 538, 1945, 899, 476, 29344, 267, 1822, 1296, 267, 513, 1974, 2484, 3476, 982, 1022, 9304, 814, 2943, 11478, 269, 1403, 1269, 336, 3436, 476, 272, 270, 273, 8961, 713, 4528, 540, 519, 3014, 568, 849, 30369, 547, 519, 1101, 6345, 538, 519, 2631, 602, 621, 1131, 723, 2942, 4397, 3094, 11789, 780, 763, 791, 1601, 2225, 540, 10888, 936, 519, 1279, 2196, 267, 2016, 513, 3970, 540, 519, 2450, 540, 914, 338, 610, 513, 3970, 538, 519, 2450, 540, 835, 781, 4871, 2651, 610, 1899, 540, 5491, 267, 568, 8810, 676, 519, 18593, 16069, 11532, 16804, 272, 6540, 1012, 19556, 2079, 540, 513, 2582, 5180, 692, 4131, 835, 5180, 581, 3989, 607, 513, 5311, 540, 15654, 9271, 4553, 676, 2901, 513, 3094, 267, 610, 28153, 540, 519, 12464, 2401, 269, 2991, 513, 3094, 267, 519, 12464, 2401, 834, 637, 1115, 257, 543, 568, 2808, 547, 723, 3323, 513, 1007, 5180, 269, 589, 6024, 5311, 540, 12004, 532, 1446, 914, 338, 666, 3976, 581, 15652, 539, 883, 513, 5311, 540, 4830, 21448, 269, 11374, 568, 606, 2079, 540, 519, 4397, 1871, 540, 835, 5180, 780, 4131, 7117, 581, 519, 5506, 540, 9561, 630, 324, 3052, 269, 585, 1977, 5595, 25179, 13193, 30592, 267, 621, 568, 476, 1015, 270, 866, 585, 513, 914, 593, 3109, 610, 2699, 1040, 2913, 645, 581, 519, 2179, 540, 519, 3355, 914, 269, 2913, 562, 581, 519, 13113, 1297, 540, 914, 338, 519, 12464, 2401, 666, 6488, 547, 6336, 780, 763, 5506, 602, 519, 12464, 2401, 786, 6336, 782, 562, 914, 338, 568, 7117, 333, 269, 1879, 782, 914, 338, 6336, 267, 519, 2698, 2530, 568, 692, 7445, 8999, 3709, 328, 284, 272, 11892, 333, 645, 1422, 10383, 476, 273, 3867, 328, 268, 272, 348, 815, 645, 630, 273, 18898, 910, 476, 272, 22491, 763, 5506, 519, 12464, 2401, 1281, 711, 6336, 782, 562, 914, 338, 568, 476, 272, 1109, 6629, 1109, 336, 333, 269, 769, 782, 824, 2665, 267, 519, 12464, 2401, 17993, 519, 3355, 914, 630, 289, 4700, 4935, 267, 519, 4397, 7443, 829, 5180, 568, 692, 259, 263, 272, 268, 336, 18898, 264, 1422, 10383, 645, 910, 7117, 18898, 1422, 10383, 645, 630, 273, 18898, 910, 476, 272, 264, 815, 645, 630, 272, 910, 630, 273, 336, 8203, 333, 22491, 12640, 6866, 7117, 1109, 285, 1109, 272, 270, 273, 267, 519, 4082, 476, 272, 1109, 6629, 1109, 263, 273, 336, 264, 333, 1109, 283, 1109, 271, 585, 782, 562, 1109, 285, 1109, 271, 269, 4935, 267, 585, 782, 3756, 1141, 513, 12464, 2401, 568, 811, 2693, 547, 6336, 982, 547, 3094, 1022, 2016, 914, 267, 602, 12464, 2401, 568, 4397, 547, 6336, 2724, 267, 593, 3328, 267, 1142, 5180, 269, 23207, 519, 2450, 540, 530, 4526, 585, 1142, 5180, 829, 519, 12004, 532, 1446, 1062, 1152, 5713, 547, 2333, 519, 3328, 2530, 780, 22428, 513, 12464, 2401, 814, 513, 476, 8287, 1770, 13989, 4871, 2651, 269, 634, 12464, 2401, 1522, 914, 476, 272, 1770, 593, 519, 1101, 8095, 269, 2201, 1142, 2530, 267, 519, 914, 568, 23060, 269, 4935, 267, 2921, 737, 607, 519, 1297, 540, 18631, 15654, 9271, 267, 519, 6345, 786, 2141, 914, 476, 273, 330, 4559, 780, 4415, 513, 3094, 593, 1022, 2016, 8095, 267, 519, 12464, 2401, 786, 2121, 476, 272, 1770, 936, 519, 2698, 2179, 13230, 1042, 547, 602, 1448, 269, 4495, 713, 3094, 568, 6913, 267, 519, 12464, 2401, 1964, 11301, 519, 1062, 609, 513, 476, 272, 1770, 914, 780, 4415, 9271, 593, 782, 540, 519, 1101, 3670, 30809, 267, 519, 12464, 2401, 19380, 513, 2698, 540, 476, 8287, 4559, 269, 901, 9688, 338, 519, 4871, 2651, 543, 519, 12004, 532, 1446, 3112, 581, 4797 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 18913, 1689, 538, 519, 3259, 540, 519, 6316, 269, 4475, 267, 538, 1931, 547, 1689, 513, 6906, 779, 3337, 267, 606, 6316, 1590, 12900, 269, 3798, 2471, 666, 581, 1500, 1454, 6793, 982, 4296, 3034, 1432, 568, 513, 15279, 6782, 538, 1483, 1272, 888, 295, 1410, 6782, 5546, 538, 1483, 1272, 286, 1261, 343, 30368, 616, 3335, 3670, 2786, 5011, 540, 3160, 3259, 269, 1411, 949, 1294, 6777, 4148, 1389, 538, 602, 4806, 269, 2142, 12317, 1161, 267, 4672, 14848, 616, 824, 1455, 20825, 540, 15279, 6782, 538, 1483, 1272, 563, 1432, 568, 519, 1034, 2241, 3337, 888, 763, 4009, 267, 5858, 267, 543, 6906, 616, 519, 1034, 2596, 5546, 593, 3047, 267, 5885, 3889, 1312, 10991, 543, 2067, 563, 1432, 3337, 666, 16641, 519, 1034, 2604, 888, 28256, 4120, 763, 16999, 3337, 585, 5706, 532, 1164, 12503, 568, 513, 6906, 563, 3963, 568, 513, 15279, 6782, 519, 1034, 3608, 3337, 888, 11039, 267, 607, 621, 7140, 856, 267, 621, 2731, 568, 782, 827, 2979, 269, 589, 15279, 6782, 568, 519, 3337, 602, 1655, 25361, 513, 7077, 609, 3160, 2450, 4559, 543, 3762, 1100, 24906, 2230, 269, 1261, 343, 21192, 24386, 849, 24024, 519, 15943, 585, 513, 2016, 1858, 1317, 540, 922, 476, 6344, 24266, 7285, 269, 0, 24281, 27647, 545, 2281, 454, 267, 519, 30932, 568, 519, 2318, 15393, 267, 6466, 519, 606, 1712, 568, 519, 2942, 15393, 563, 17357, 12509, 3156, 616, 27647, 545, 1591, 454, 1993, 835, 1383, 563, 3519, 14846, 9245, 8596, 630, 5141, 1046, 19204, 543, 8895, 7079, 545, 19204, 454, 264, 666, 581, 10032, 676, 1164, 2157, 540, 7250, 30423, 538, 519, 6908, 563, 2026, 609, 9697, 1125, 267, 1840, 540, 519, 2961, 321, 3080, 19605, 547, 513, 29194, 5932, 513, 12809, 27647, 545, 1591, 454, 7474, 14014, 519, 14041, 563, 289, 5407, 1826, 25914, 728, 1543, 693, 5374, 3178, 630, 9077, 536, 5407, 264, 772, 660, 8972, 476, 7742, 544, 288, 270, 476, 4335, 544, 288, 270, 476, 16020, 544, 288, 270, 1496, 332, 4732, 1575, 269, 273, 316, 1496, 332, 4732, 1575, 269, 273, 316, 1496, 332, 4732, 1575, 269, 273, 316, 744, 15425, 476, 273, 269, 10844, 476, 273, 269, 1626, 476, 273, 269, 5400, 476, 272, 269, 11152, 476, 2568, 260, 717, 294, 7034, 476, 274, 269, 6187, 476, 272, 269, 11463, 476, 272, 269, 10019, 476, 272, 269, 7830, 7305, 476, 275, 281, 19105, 540, 2527, 2530, 540, 5374, 16109, 689, 14809, 1310, 27647, 545, 1591, 454, 3000, 13501, 4470, 593, 519, 4294, 1699, 5860, 543, 536, 5407, 1826, 563, 763, 27647, 545, 1591, 454, 514, 6252, 609, 519, 4853, 1591, 1210, 519, 824, 5122, 6724, 540, 2324, 630, 14179, 5653, 543, 1699, 5860, 264, 734, 1492, 2179, 540, 23386, 3144, 998, 676, 1790, 817, 5547, 568, 5393, 1507, 3379, 547, 519, 2179, 540, 23386, 538, 519, 4853, 8602, 799, 2636, 519, 960, 609, 824, 1184, 6724, 538, 1591, 982, 1346, 538, 4853, 1591, 563, 19350, 972, 568, 513, 8047, 27647, 545, 1591, 454, 1721, 519, 11179, 1353, 540, 891, 1079, 7306, 1510, 14443, 532, 519, 27647, 545, 1184, 543, 1510, 9427, 519, 30932, 689, 27647, 545, 8602, 267, 4137, 476, 272, 563, 31553, 10607, 519, 700, 11266, 6482, 2773, 609, 6404, 2095, 2783, 563, 2690, 519, 8097, 6482, 540, 519, 19650, 1761, 267, 513, 4999, 540, 1079, 13737, 22809, 267, 8108, 513, 27647, 545, 1591, 454, 267, 568, 1031, 563, 31367, 9075, 267, 849, 1634, 607, 27647, 545, 2281, 454, 267, 616, 6353, 676, 513, 1164, 1379, 5860, 734, 7474, 568, 267, 519, 5223, 1063, 519, 1379, 540, 519, 6383, 1699, 543, 519, 4320, 540, 519, 6007, 563, 16449, 519, 3584, 616, 519, 1101, 1876, 540, 32721, 267, 519, 32721, 540, 23399, 543, 1930, 1949, 267, 519, 28138, 3830, 540, 1533, 267, 519, 32721, 540, 7252, 267, 543, 27647, 545, 2281, 454, 663, 30402, 12067, 4229, 563, 763, 2627, 12889, 538, 519, 15098, 3310, 519, 14809, 2623, 543, 3028, 10715, 540, 519, 13673, 15098, 4929, 2653, 1569, 547, 519, 14041, 15301, 1556, 1070, 630, 3374, 264, 5015, 267, 2094, 519, 7720, 306, 273, 5536, 723, 2370, 19428, 630, 273, 269, 6021, 1535, 1496, 1015, 16553, 11607, 275, 316, 1496, 2129, 332, 16553, 11607, 272, 316, 524, 314, 332, 16553, 11607, 272, 25818, 630, 3607, 264, 2199, 27647, 545, 2281, 454, 22238, 2406, 941, 2813, 593, 519, 2627, 540, 519, 15098, 538, 799, 519, 7720, 314, 306, 16553, 269, 273, 316, 5536, 957, 607, 18216, 21288, 4609, 538, 4334, 609, 519, 13673, 5119, 602, 6411, 607, 606, 606, 21288, 3135, 15301, 4097, 264, 1452, 2199, 27647, 545, 2281, 454, 514, 519, 13673, 5336, 334, 314, 306, 16553, 269, 273, 316, 15098, 666, 581, 1776, 2014, 585, 519, 2539, 14809, 4187, 540, 713, 15098, 538, 6476, 609, 519, 13673, 15098, 269, 0, 763, 11882, 5211, 9503, 568, 835, 540, 519, 1034, 8185, 4853, 1242, 30520, 538, 519, 2136, 2276, 269, 1306, 513, 1267, 267, 519, 11882, 5211, 267, 3933, 7541, 3559, 320, 267, 4053, 671, 978, 308, 15238, 267, 20855, 1177, 3873, 267, 543, 824, 29815, 2456, 1419, 1995, 4057, 1216, 2298, 269, 2290, 2268, 540, 4057, 1216, 2298, 568, 1970, 15702, 5135, 9830, 1282, 1970, 2095, 5712, 269, 4107, 540, 519, 8933, 538, 519, 11882, 5211, 9503, 723, 1044, 9927, 883, 4044, 762, 25825, 998, 513, 3126, 540, 25437, 543, 21394, 269, 634, 1863, 13576, 5757, 568, 1631, 513, 3126, 540, 20115, 269, 2372, 625, 1417, 20115, 798, 711, 3895, 519, 4483, 540, 5135, 883, 519, 1216, 1813, 547, 1970, 31285, 2157, 269, 18641, 267, 519, 17453, 3889, 2933, 949, 2965, 581, 513, 1883, 2499, 523, 349, 538, 5355, 519, 1216, 2298, 1317, 540, 519, 1164, 31285, 2157, 6383, 693, 891, 3889, 269, 634, 3483, 540, 713, 1353, 568, 547, 8495, 519, 946, 540, 2481, 19235, 543, 19558, 1077, 19698, 585, 519, 1840, 540, 5135, 547, 519, 1216, 269, 634, 2179, 540, 5135, 3773, 547, 519, 1216, 9775, 609, 519, 7293, 4162, 267, 10766, 6679, 267, 543, 17453, 2175, 269, 5811, 540, 519, 1034, 2487, 1239, 3144, 538, 476, 1960, 279, 267, 2059, 609, 1239, 9661, 523, 538, 3105, 1296, 267, 2982, 3466, 585, 5135, 4483, 693, 10766, 521, 650, 3889, 269, 19835, 4255, 5815, 602, 513, 1164, 2766, 4248, 21477, 10885, 540, 519, 521, 650, 2636, 8766, 5135, 4483, 547, 2049, 2394, 606, 5667, 889, 1067, 3022, 17453, 795, 308, 331, 16810, 3029, 269, 634, 4483, 4398, 786, 2333, 2394, 513, 12366, 308, 331, 308, 4483, 568, 6603, 269, 15332, 713, 2565, 10766, 6679, 267, 519, 4483, 4398, 786, 1377, 856, 610, 949, 1256, 7771, 269, 1403, 519, 21477, 10885, 593, 519, 521, 650, 568, 1970, 267, 513, 17453, 795, 308, 331, 12639, 666, 1106, 693, 1360, 1970, 10766, 5468, 269, 769, 713, 2013, 267, 519, 4483, 31931, 786, 2333, 547, 513, 12366, 308, 331, 308, 693, 519, 2565, 10766, 6679, 269, 2991, 713, 10766, 4259, 568, 6603, 267, 519, 4483, 31931, 786, 1377, 856, 610, 7771, 269, 1855, 281, 282, 1206, 941, 849, 13526, 517, 2740, 593, 19558, 1077, 19698, 609, 519, 8908, 8546, 2011, 5887, 8118, 269, 5811, 540, 782, 4609, 6920, 602, 5135, 4483, 568, 30050, 1813, 547, 13385, 32137, 2212, 269, 634, 8766, 27164, 7257, 10325, 568, 711, 5078, 585, 9870, 5135, 2157, 269, 589, 811, 2143, 1353, 540, 27164, 7257, 3681, 568, 2877, 547, 6318, 5135, 2157, 998, 3289, 8527, 340, 296, 262, 321, 710, 5887, 532, 267, 769, 3932, 267, 519, 575, 730, 521, 650, 3889, 1397, 9153, 607, 513, 1907, 585, 5355, 1216, 2298, 1369, 519, 5757, 1062, 676, 9870, 5135, 2157, 267, 952, 13234, 896, 2673, 3562, 9953, 3065, 17453, 2175, 585, 10766, 513, 3130, 563, 347, 24314, 1893, 1475, 12626, 630, 4785, 10245, 347, 13750, 1475, 13775, 910, 4924, 476, 1960, 280, 347, 0, 273, 7160, 540, 31538, 640, 538, 4654, 543, 1893, 1353, 1336, 538, 519, 17048, 563, 4462, 6134, 640, 538, 4654, 543, 1893, 1353, 454, 27144, 30129, 13879, 454, 347, 13750, 618, 1475, 2421, 681, 6993, 269, 13879, 2807, 2008, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 643, 267, 476, 5379, 533, 269, 6902, 2008, 31871, 540, 9664, 1475, 5379, 2008, 288, 23008, 2065, 6733, 693, 5053, 19932, 10705, 4147, 1881, 676, 17959, 267, 12856, 269, 9523, 519, 1353, 540, 1893, 269, 1306, 891, 1806, 1397, 267, 8059, 1235, 666, 19665, 4654, 2687, 547, 741, 1686, 267, 607, 1134, 607, 2687, 547, 519, 1893, 781, 2497, 543, 2687, 547, 875, 1913, 616, 4646, 269, 1141, 20844, 7534, 568, 519, 1641, 267, 682, 324, 630, 1348, 338, 264, 568, 519, 8231, 543, 8191, 281, 717, 14283, 661, 5341, 11420, 269, 1403, 972, 568, 1100, 3638, 772, 294, 267, 1287, 835, 3112, 9029, 547, 519, 31538, 640, 20232, 269, 1403, 519, 1007, 932, 1682, 5652, 568, 1318, 267, 1287, 4654, 798, 711, 2671, 2694, 267, 543, 1142, 1893, 568, 1732, 4330, 538, 922, 1378, 2474, 2864, 982, 538, 2474, 540, 2035, 602, 941, 2919, 585, 930, 824, 1893, 269, 22108, 269, 22823, 267, 4460, 595, 269, 634, 8444, 540, 1893, 269, 1715, 3840, 281, 9978, 563, 763, 28980, 540, 519, 5678, 543, 4804, 538, 519, 4139, 2160, 281, 3245, 2296, 31538, 640, 547, 16844, 543, 5754, 1962, 7190, 676, 28564, 2776, 529, 2401, 693, 4446, 5886, 269, 5192, 17676, 15562, 7709, 303, 5058, 593, 2107, 10249, 540, 1269, 3374, 266, 21436, 1344, 593, 5046, 645, 261, 301, 4934, 2280, 16840, 1222, 30451, 717, 3424, 8191, 281, 28564, 2776, 529, 2401, 269, 2755, 649, 798, 711, 723, 519, 942, 547, 1353, 519, 5444, 11530, 625, 811, 5402, 267, 594, 666, 26924, 596, 602, 789, 616, 513, 1360, 3638, 1888, 585, 1353, 269, 594, 1131, 9244, 4363, 3627, 590, 841, 5069, 518, 779, 1433, 476, 7906, 547, 4217, 596, 538, 707, 1353, 540, 519, 5444, 11530, 625, 540, 19606, 267, 543, 540, 519, 19999, 622, 1276, 607, 513, 2898, 269, 634, 4762, 4288, 540, 19932, 693, 645, 8475, 19606, 454, 23458, 267, 5295, 543, 16677, 698, 9609, 281, 645, 13308, 5753, 538, 519, 9061, 13933, 910, 661, 1504, 2854, 676, 4515, 269, 13343, 595, 17026, 1231, 269, 3367, 713, 1433, 1210, 5616, 7591, 7734, 813, 593, 707, 7193, 267, 543, 5514, 267, 25515, 3457, 269, 8281, 585, 22356, 2542, 267, 5031, 267, 1433, 5658, 610, 1491, 4967, 1247, 596, 1224, 5678, 267, 5295, 543, 16677, 698, 9609, 281, 645, 13308, 5753, 538, 519, 9061, 13933, 269, 22963, 568, 855, 513, 13172, 540, 519, 1390, 2717, 2106, 14198, 1893, 267, 799, 568, 9275, 609, 9058, 7833, 640, 936, 782, 519, 3875, 10195, 540, 519, 7414, 7909, 1063, 1715, 10215, 543, 16127, 269, 11088, 267, 519, 2717, 2106, 14198, 1893, 568, 855, 835, 4759, 540, 602, 2647, 1606, 7331, 1920, 540, 4654, 267, 1634, 607, 519, 30017, 334, 6261, 565, 2106, 14198, 610, 7909, 545, 1920, 267, 799, 11498, 8191, 281, 31240, 12541, 12448, 338, 563, 306, 13824, 1216, 7503, 563, 11328, 574, 1867, 540, 519, 17434, 4427, 1260, 2466, 6590, 24356, 519, 769, 1417, 1161, 543, 26861, 8163, 674, 5217, 24371, 1879, 10435, 19715, 5463, 2888, 538, 9098, 547, 519, 17135, 543, 519, 4937, 13909, 540, 9098, 563, 23024, 14939, 2079, 540, 522, 539, 9047, 538, 519, 13855, 454, 15307, 615, 267, 610, 267, 18321, 15112, 11244, 454, 306, 31723, 4359, 7194, 3755, 3391, 454, 14140, 11407, 593, 513, 1007, 1062, 540, 2486, 454, 763, 1614, 2370, 14918, 454, 310, 904, 543, 1797, 540, 10647, 513, 5870, 454, 306, 7964, 6261, 516, 3685, 1299, 6513, 540, 26465, 545, 20070, 3753, 454, 274, 269, 31538, 640, 543, 4763, 538, 13093, 1108, 269, 853, 758, 4141, 779, 20465, 1395, 1748, 7000, 602, 4191, 616, 711, 11455, 17267, 267, 855, 616, 16922, 540, 513, 13113, 1305, 540, 15768, 267, 2495, 1652, 2036, 13541, 658, 2609, 4534, 602, 789, 4865, 519, 2596, 1374, 4183, 540, 1480, 1893, 1572, 546, 7081, 540, 1273, 614, 940, 630, 295, 1442, 9116, 15426, 1805, 758, 4141, 779, 960, 4547, 1129, 4654, 883, 519, 5858, 540, 4654, 17709, 540, 24764, 676, 281, 16179, 31538, 640, 543, 16844, 538, 5678, 8889, 281, 6820, 21126, 630, 11372, 13308, 25198, 3883, 476, 2567, 3367, 28632, 15188, 17352, 910, 31538, 640, 543, 16844, 538, 5678, 8889, 568, 513, 10950, 1840, 547, 519, 1353, 540, 1893, 3609, 543, 4058, 609, 513, 7059, 7848, 540, 7418, 602, 19597, 622, 267, 14969, 543, 3048, 622, 1382, 593, 1134, 8153, 607, 1134, 607, 5063, 6932 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 678, 543, 12334, 524, 2433, 269, 901, 1505, 568, 1759, 593, 519, 8343, 602, 513, 1448, 609, 513, 8880, 17242, 568, 513, 2199, 5021, 952, 621, 568, 851, 540, 513, 6677, 1511, 1524, 10126, 267, 543, 513, 5934, 952, 621, 568, 851, 540, 513, 6677, 1511, 909, 269, 901, 1131, 581, 1945, 4988, 538, 707, 2836, 322, 476, 272, 1362, 610, 2228, 1576, 267, 5473, 1152, 3252, 602, 4308, 609, 2582, 4632, 267, 585, 1383, 267, 535, 3287, 1040, 634, 5822, 14216, 29719, 1879, 649, 1491, 519, 12045, 540, 513, 1599, 535, 3287, 1070, 649, 1205, 513, 6508, 1599, 535, 271, 3287, 1070, 1572, 519, 8174, 320, 2389, 633, 610, 19509, 337, 560, 12045, 269, 898, 28352, 930, 3252, 602, 1867, 7194, 269, 1677, 946, 519, 5690, 267, 649, 1491, 606, 3355, 7058, 693, 519, 5021, 1871, 267, 4399, 15883, 318, 271, 259, 630, 1492, 744, 11862, 9936, 9193, 1522, 581, 513, 10257, 7058, 1070, 1287, 269, 594, 1131, 2503, 971, 513, 1599, 547, 581, 2139, 538, 11885, 267, 855, 666, 1405, 1265, 621, 269, 634, 3689, 14216, 29719, 4530, 19270, 822, 640, 19270, 822, 640, 267, 18745, 540, 5606, 3005, 267, 543, 519, 5822, 14216, 29719, 4530, 634, 5822, 14216, 29719, 4530, 10439, 654, 1905, 5346, 1473, 9057, 3729, 22553, 543, 700, 262, 295, 2214, 1388, 781, 14329, 1548, 1281, 4399, 2765, 346, 271, 2410, 271, 4151, 3160, 286, 6201, 1473, 9057, 3729, 20212, 1473, 9057, 3729, 25024, 8422, 12411, 687, 540, 700, 262, 295, 2214, 1388, 781, 14329, 19577, 338, 26659, 11150, 6271, 269, 589, 2034, 1931, 9864, 12045, 568, 3274, 513, 9864, 12045, 3144, 547, 513, 2034, 1931, 609, 2463, 547, 519, 4756, 596, 616, 1114, 11868, 547, 269, 3502, 1152, 269, 2353, 621, 1797, 547, 1491, 519, 2034, 12045, 568, 547, 1491, 519, 12045, 540, 513, 1599, 7466, 269, 634, 1101, 12045, 540, 513, 1599, 568, 519, 9386, 540, 519, 17242, 1899, 585, 1022, 1448, 593, 519, 1599, 256, 4475, 267, 621, 6645, 950, 519, 1599, 568, 2810, 267, 13302, 610, 1141, 621, 814, 513, 8880, 17242, 256, 269, 634, 9386, 540, 713, 17242, 1899, 568, 519, 1871, 540, 519, 12045, 540, 1535, 476, 273, 693, 1535, 476, 271, 269, 3767, 1577, 781, 1265, 519, 1871, 540, 938, 12045, 1599, 585, 513, 2016, 1871, 540, 1535, 269, 1411, 666, 1265, 7222, 5124, 6388, 1934, 2433, 5124, 8943, 269, 535, 1127, 323, 281, 10581, 267, 26998, 6783, 267, 3337, 630, 333, 264, 634, 1871, 540, 3980, 480, 674, 3980, 480, 1535, 795, 693, 519, 1448, 1535, 267, 585, 795, 815, 476, 272, 267, 476, 273, 267, 2560, 267, 562, 269, 586, 630, 343, 3620, 264, 910, 476, 273, 265, 344, 630, 343, 264, 1341, 586, 630, 343, 266, 327, 264, 586, 5257, 630, 343, 264, 815, 476, 10900, 734, 554, 476, 273, 269, 1715, 476, 1708, 273, 667, 17690, 10548, 476, 5611, 271, 570, 12976, 27519, 267, 5453, 1564, 1107, 634, 4258, 11803, 18234, 5964, 267, 1519, 11943, 538, 2034, 4087, 3330, 519, 4505, 513, 12675, 1974, 267, 1185, 1044, 546, 996, 1258, 539, 538, 4747, 269, 3689, 267, 1491, 519, 9864, 269, 2353, 519, 3009, 568, 513, 2582, 9226, 9074, 269, 1924, 596, 666, 1265, 519, 12045, 540, 606, 13250, 1599, 676, 1175, 13868, 519, 4756, 538, 519, 2076, 8681, 267, 607, 7074, 538, 519, 5822, 27284, 14497, 540, 20145, 267, 1657, 269, 634, 2034, 9936, 1058, 9949, 547, 476, 272, 267, 607, 594, 1131, 2503, 621, 547, 581, 519, 1455, 2013, 269, 14216, 643, 2510, 268, 8404, 19296, 1419, 991, 547, 5173, 16755, 5111, 267, 2901, 689, 1239, 610, 689, 3252, 585, 799, 2241, 25107, 3029, 540, 519, 16755, 1810, 1406, 2291, 269, 19336, 2450, 630, 275, 265, 272, 1040, 7046, 20302, 568, 519, 1034, 3102, 1930, 21299, 7732, 585, 2780, 5075, 269, 11410, 25544, 1104, 1133, 21725, 306, 680, 710, 586, 5334, 680, 815, 1133, 21725, 306, 680, 710, 3287, 11971, 29679, 284, 271, 267, 330, 284, 275, 264, 12301, 269, 1677, 17412, 267, 585, 21335, 540, 476, 275, 555, 4110, 543, 2630, 15545, 1284, 1865, 519, 3448, 26350, 540, 10338, 543, 1101, 268, 543, 2034, 268, 1457, 29719, 26034, 585, 519, 21800, 3067, 2305, 540, 21536, 597, 889, 514, 543, 24562, 267, 543, 6218, 2582, 19985, 1079, 19985, 543, 269, 14216, 29719, 540, 11201, 20534, 281, 6726, 566, 540, 269, 19336, 2450, 630, 275, 265, 272, 1040, 2142, 2386, 547, 1104, 519, 10699, 545, 306, 680, 710, 1599, 609, 269, 634, 910, 17247, 568, 11609, 2630, 15545, 12045, 382, 370, 1085, 27251, 269, 634, 1599, 666, 581, 10920, 12723, 883, 922, 1079, 5057, 3252, 281, 554, 630, 343, 264, 815, 630, 326, 630, 343, 4297, 317, 273, 543, 575, 630, 343, 264, 815, 3813, 630, 343, 1040, 1280, 1383, 267, 1491, 513, 1219, 21124, 5569, 896, 8082, 269, 901, 1576, 786, 581, 6026, 1210, 519, 9226, 5752, 1893, 269, 570, 16777, 20219, 23727, 5508, 18904, 7838, 3201, 700, 8104, 2752, 18952, 5960, 814, 519, 1297, 1572, 552, 607, 621, 3490, 282, 621, 568, 519, 1062, 649, 946, 538, 782, 7811, 960, 269, 476, 273, 526, 12045, 19406, 630, 984, 22633, 676, 13177, 9971, 264, 20976, 1493, 676, 7269, 827, 2433, 630, 274, 264, 20976, 1493, 676, 7269, 827, 2433, 630, 275, 264, 5410, 26169, 985, 269, 798, 527, 3890, 1924, 267, 519, 1101, 3364, 267, 649, 1590, 798, 568, 1104, 13507, 543, 14216, 29719, 689, 519, 1623, 6853, 9074, 269, 634, 2034, 9936, 1058, 9949, 547, 476, 272, 267, 607, 594, 1131, 2503, 621, 547, 581, 519, 1455, 2013, 269, 14171, 519, 2034, 19195, 12045, 540, 1269, 325, 3287, 7751, 1797, 649, 1413, 693, 875, 1142, 476, 603, 9864, 12045, 267, 4399, 2765, 3189, 23169, 535, 7346, 23169, 1535, 10983, 4151, 5540, 782, 824, 9864, 16755, 269, 634, 5021, 538, 519, 1101, 12045, 7455, 1590, 1869, 581, 6059, 11617, 269, 6258, 519, 2856, 540, 14216, 29719, 543, 946, 621, 547, 4194, 2042, 269, 634, 5124, 3009, 2630, 21410, 519, 12045, 540, 713, 1599, 269, 1280, 1383, 267, 10231, 568, 519, 12045, 540, 3432, 269, 898, 568, 6697, 547, 2921, 519, 15243, 1014, 540, 1269, 325, 685, 263, 343, 30879, 1879, 596, 616, 2921, 519, 12045, 540, 519, 12045, 713, 568, 1572, 519, 834, 16149, 12045, 269, 7316, 834, 338, 257, 568, 519, 2990, 693, 1022, 942, 834, 339, 257, 2382, 656, 10389, 4813, 10358, 642, 6025, 264, 815, 521, 21948, 339, 264, 513, 6025, 264, 815, 642, 21948, 339, 264, 815, 521, 257, 263, 339, 264, 7316, 642, 6025, 264, 568, 519, 1101, 12045, 540, 519, 2990, 1599, 543, 513, 6025, 264, 568, 519, 1101, 12045, 540, 519, 6991, 1599, 269, 594, 2813, 513, 1007, 9226, 1599, 602, 1131, 1491, 1079, 4164, 757, 269, 2913, 781, 2328, 519, 1931, 540, 16755, 1210, 519, 269, 769, 11810, 519, 12045, 568, 513, 1907, 602, 568, 1031, 538, 513, 3099, 540, 2081, 269, 769, 20145, 267, 513, 2034, 12045, 568, 3274, 513, 12045, 540, 513, 12045, 269, 1548, 568, 15285, 27085, 827, 519, 3113, 540, 513, 1599, 602, 519, 2034, 16755, 666, 2995, 721, 269, 7151, 476, 272, 281, 4855, 519, 1101, 267, 2034, 267, 543, 3791, 16755, 540, 535, 630, 1535, 3738, 815, 476, 276, 1535, 476, 275, 6567, 476, 274, 343, 476, 274, 1341, 476, 278, 343, 476, 273, 6567, 476, 280, 343, 1341, 476, 273, 269, 3244, 6819, 606, 8723, 11186, 3830, 609, 2233, 13695, 269, 623, 1015, 318, 4629, 5588, 7024, 513, 3597, 585, 1966, 476, 1015, 269, 12045, 382, 370, 1085, 27251, 269, 1703, 616, 1114, 9753, 540, 16755, 269, 634, 1576, 849, 11414, 2596, 5124, 5752, 267, 799, 786, 581, 1031, 538, 519, 2034, 543, 3791, 6030, 2519, 593, 4052, 3156, 540, 1239, 2257, 543, 3684, 1565, 538, 8804, 267, 607, 1134, 607, 1373, 513, 3407, 3318, 5578, 3622, 269, 2201, 519, 2451, 2427, 649, 723, 513, 1599, 609, 513, 14263, 1129, 538, 4395, 540, 621, 630, 663, 930, 14170, 1040, 3765, 322, 8174, 520, 269, 2060, 519, 948, 540, 1623, 6853, 269, 1306, 606, 1383, 267, 1577, 781, 2161, 649, 1616, 547, 1491, 519, 9864, 12045, 540, 519, 1599, 267, 535, 3287, 6661, 1535, 476, 274, 586, 476, 276, 267, 609, 2463, 547, 1535, 267, 547, 519, 476, 273, 526, 1931, 269, 14216, 29719, 568, 519, 1271, 1907, 538, 11810, 547, 1265, 606, 31208, 2572, 2711, 2557, 540, 1689, 540, 513, 1599, 609, 2463, 547, 922, 835, 540, 519, 4830, 4756, 269, 6201, 281, 3040, 18289, 11191, 267, 971, 607, 538, 8184, 1138, 22399, 6061, 1535, 261, 261, 815, 17086, 4834, 269, 476, 271, 267, 562, 284, 272, 267, 26571, 14352, 1070, 1931, 284, 274, 264, 1496, 25899, 316, 2485, 370, 4855, 519, 562, 6253, 12045, 540, 513, 1599, 693, 513, 1448, 269, 898, 1767, 602, 952, 519, 2034, 12045, 729, 2318, 693, 513, 2565, 1448, 267, 1287, 535, 1185, 513, 5934, 972, 267, 855, 952, 519, 2034, 12045, 729, 2942, 267, 1287, 513, 5021, 269, 634, 14216, 29719, 540, 513, 11638, 13305, 926, 762, 12793, 269, 634, 1152, 3364, 1775, 723, 547, 960, 1055, 540, 568, 519, 2596, 3830, 630, 293, 3287, 3620, 9984, 293, 3287, 4297, 270, 327, 269, 7182, 543, 16755, 2042, 543, 3435, 7824, 269, 31592, 7756, 2747, 538, 5124, 23218, 274, 6258, 875, 547, 16174, 513, 5311, 610, 1592, 540, 2418, 6746, 1227, 8074, 281, 713, 2985, 568, 851, 540, 519, 12319, 585, 4528, 476, 274, 540, 18140, 569, 269, 8174, 9852, 284, 272, 264, 1948, 3689, 12045, 609, 544, 284, 272, 269, 17623, 343, 3487, 658, 14216, 29719, 14216, 29719, 269, 901, 8242, 7160, 2882, 782, 519, 2242, 538, 269, 634, 3070, 585, 713, 3830, 568, 513, 1599, 4171, 2034, 12045, 568, 3294, 609, 513, 14263, 1129, 269, 634, 1152, 2565, 1448, 568, 693, 1535, 815, 476, 271, 269, 5822, 268, 24576, 14216, 29719, 269, 634, 1184, 540, 12719, 513, 12045, 568, 1572, 15285, 269, 898, 814, 519, 1482, 16105, 607, 886, 3890, 1505, 269, 594, 1589, 621, 568, 20501, 547, 2012, 873, 968, 1457, 643, 14682, 343, 5608, 968, 1457, 643, 318, 4445, 892, 543, 968, 1457, 643, 14682, 345, 6100, 2913, 779, 1491, 513, 1413, 693, 930, 1806, 540, 2362, 1931, 16755, 269, 1403, 2073, 1287, 594, 9327, 1405, 4363, 28976, 519, 1267, 540, 519, 1587, 4341, 8259, 596, 723, 547, 282, 621, 781, 1454, 10930, 1175, 547, 4734, 621, 607, 621, 568, 267, 2523, 952, 596, 616, 2469, 269, 1924, 519, 2034, 12045, 3349, 814, 1079, 7864, 9343, 602, 519, 15044, 3403, 3349, 630, 12898, 9427, 5918, 27289, 1040, 32017, 18768, 538, 5124, 7300, 270, 7968, 18510, 20527, 32017, 18768, 7300, 270, 7968, 18510, 476, 11054, 4635, 1187, 12449, 543, 2653, 547, 1246, 5528, 267, 713, 3551, 267, 713, 3308, 3391, 2982, 1762, 6267, 875, 547, 1628, 741, 1378, 2780, 3785, 1210, 5124, 267, 606, 2653, 2943, 3532, 1863, 5752, 1893, 2139, 585, 4647, 8110, 2739, 585, 3214, 6502, 543, 936, 945, 616, 4712, 547, 1491, 513, 2034, 1900, 1310, 2480, 337, 2255, 267, 32017, 269, 634, 16755, 616, 4399, 1091, 535, 21948, 343, 6661, 275, 343, 317, 274, 259, 543, 4399, 1091, 535, 5257, 263, 343, 6661, 1321, 343, 317, 273, 10608, 476, 272, 4985, 547, 5124, 5124, 272, 568, 513, 2489, 26928, 267, 1164, 7400, 5752, 1893, 267, 799, 568, 4922, 1031, 538, 2172, 328, 524, 26398, 950, 2773, 568, 711, 513, 3815, 269, 1703, 616, 1079, 21635, 267, 865, 621, 779, 513, 1434, 2856, 547, 1491, 1079, 16755, 543, 1294, 1018, 596, 723, 269, 6258, 519, 2856, 540, 14216, 29719, 543, 946, 621, 547, 4194, 2042, 269, 8074, 281, 18461, 1863, 547, 18178, 713, 3296, 952, 596, 2461, 6899, 609, 1612, 1388, 16755, 543, 27080, 543, 596, 917, 875, 547, 1491, 16755, 538, 6641, 13695, 269, 4746, 267, 621, 2337, 547, 4019, 513, 11826, 6310, 7664, 547, 1142, 9864, 12045, 538, 1931, 547, 7413, 1022, 10539, 269, 7151, 476, 272, 281, 4855, 519, 12045, 540, 1599, 535, 2016, 676, 8827, 547, 7151, 476, 272, 281, 9577, 535, 568, 519, 1587, 540, 1079, 3252, 281, 772, 815, 1535, 476, 273, 910, 476, 276, 543, 966, 815, 1535, 476, 274, 910, 476, 273, 1535, 1341, 476, 274, 282, 8754, 1284, 946, 519, 1587, 4341, 547, 16174, 535, 607, 5205, 281, 1141, 772, 1412, 543, 966, 1412, 616, 519, 16755, 540, 772, 543, 966, 6606, 543, 616, 2016, 676, 15240, 3482, 547, 3489, 30771, 267, 1895, 543, 14458 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1103, 1082, 3384, 2477, 1519, 10476, 267, 1239, 616, 15877, 593, 6171, 667, 543, 7513, 19518, 6466, 1346, 19518, 666, 1404, 606, 1271, 1909, 538, 519, 1646, 540, 5642, 1072, 543, 7654, 1875, 268, 10919, 27809, 3676, 269, 634, 3483, 540, 713, 1353, 729, 547, 3313, 519, 2949, 9860, 540, 6171, 667, 543, 7513, 19518, 538, 2021, 543, 1762, 1453, 543, 741, 9422, 1644, 1981, 2188, 563, 288, 3444, 22891, 1353, 5342, 1851, 476, 276, 4817, 2021, 540, 10285, 2085, 543, 476, 276, 3953, 1453, 2999, 276, 1296, 689, 476, 866, 16899, 540, 10476, 269, 1280, 1142, 1367, 267, 1239, 7282, 3232, 2732, 267, 14227, 1895, 267, 10236, 6248, 4567, 941, 5833, 267, 543, 11919, 9830, 540, 7513, 543, 6171, 667, 941, 6027, 563, 763, 9860, 540, 3834, 990, 9559, 2670, 667, 4567, 729, 1360, 1164, 267, 609, 519, 9860, 540, 6171, 667, 10638, 630, 1839, 263, 15121, 264, 291, 283, 1789, 16354, 565, 13624, 264, 543, 1202, 340, 11797, 630, 1839, 263, 15121, 264, 291, 1063, 476, 1789, 1700, 5392, 269, 280, 16354, 565, 13624, 264, 1373, 476, 1704, 260, 543, 476, 2412, 260, 538, 2021, 543, 476, 2641, 260, 543, 476, 4391, 260, 538, 1453, 267, 6606, 269, 4635, 811, 12666, 2759, 11325, 540, 476, 4037, 16354, 565, 13624, 267, 5111, 476, 3445, 260, 540, 519, 2021, 543, 1453, 941, 9286, 607, 2348, 3834, 990, 9559, 2670, 667, 269, 3683, 7076, 270, 984, 3150, 2021, 1185, 513, 476, 273, 2053, 2539, 1981, 630, 3036, 815, 476, 271, 269, 5379, 267, 1496, 271, 269, 2190, 1700, 271, 269, 3445, 8079, 585, 6171, 667, 10638, 982, 1875, 27492, 7076, 543, 1875, 268, 984, 3150, 2021, 269, 3143, 16045, 1185, 4049, 7513, 10638, 855, 9793, 543, 7646, 3834, 5914, 8619, 8598, 630, 680, 553, 2742, 7513, 9830, 1063, 476, 272, 269, 1428, 268, 271, 269, 280, 6515, 565, 13624, 585, 7646, 10638, 543, 1063, 476, 271, 269, 280, 268, 271, 269, 279, 6515, 565, 13624, 585, 9793, 10638, 264, 4299, 6606, 476, 1691, 260, 543, 476, 10695, 260, 540, 519, 2021, 609, 476, 9032, 260, 540, 519, 1453, 2348, 7646, 3834, 5914, 8619, 8598, 269, 6468, 543, 1453, 10057, 827, 476, 272, 260, 540, 519, 4659, 540, 6925, 630, 296, 6865, 264, 5227, 8770, 6981, 630, 305, 25712, 264, 585, 6171, 667, 543, 1447, 982, 476, 6246, 260, 540, 519, 681, 25712, 585, 7513, 563, 290, 2787, 281, 5487, 650, 537, 589, 267, 15261, 1359, 320, 674, 267, 2558, 534, 570, 301, 267, 11709, 25280, 267, 2274, 22720, 267, 10783, 514, 590, 267, 1696, 620, 269, 630, 1001, 274, 264, 14523, 990, 9559, 2670, 667, 543, 631, 843, 14523, 5914, 8619, 8598, 3657, 4400, 569, 2776, 1998, 550, 1851, 8479, 19176, 5753, 543, 6468, 543, 13565, 547, 8899, 26678, 2271, 820, 269, 12813, 24382, 21450, 476, 279, 263, 276, 2567, 552, 277, 4375, 8064, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 24879, 4375, 278, 280, 454, 29394, 281, 1261, 10719, 918, 269, 7137, 628, 1245, 267, 4077, 527, 2946, 2160, 6925, 12670, 267, 5125, 454, 3725, 18727, 281, 5437, 476, 736, 267, 476, 1001, 273, 282, 20504, 539, 281, 4989, 476, 279, 267, 476, 1001, 274, 282, 15618, 281, 2904, 476, 2190, 267, 476, 1001, 274, 454, 15648, 281, 9736, 476, 1001, 274, 5487, 650, 537, 1696, 620, 269, 901, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 293, 27448, 281, 634, 960, 729, 14102, 676, 9291, 543, 9253, 25475, 27176, 7690, 630, 13696, 24427, 1070, 5617, 6828, 543, 519, 4972, 1280, 4139, 4886, 630, 5263, 2839, 1040, 634, 2508, 619, 1185, 1100, 1909, 538, 1353, 1374, 267, 1239, 4015, 543, 2079, 267, 3375, 547, 15476, 267, 610, 7041, 540, 519, 12377, 563, 4467, 7065, 532, 4690, 281, 5617, 1895, 568, 513, 4357, 2754, 630, 10674, 2517, 4178, 269, 10964, 31228, 2593, 270, 1040, 5617, 1895, 729, 711, 513, 16045, 1560, 540, 519, 1353, 543, 1705, 711, 7119, 538, 1022, 5123, 540, 519, 1353, 1519, 7014, 1374, 267, 1239, 4015, 267, 1239, 2079, 543, 8313, 269, 7183, 540, 519, 3173, 543, 4589, 540, 519, 12377, 723, 1044, 6964, 610, 26438, 676, 5617, 1895, 269, 634, 2883, 9295, 540, 5617, 729, 476, 1015, 267, 1822, 20430, 630, 1478, 513, 2698, 6578, 540, 476, 4968, 267, 1822, 20430, 264, 547, 1489, 519, 2817, 4659, 540, 12594, 538, 670, 8457, 328, 267, 799, 568, 513, 3084, 19176, 2497, 896, 519, 12080, 540, 2657, 267, 585, 519, 2079, 540, 7513, 543, 6171, 667, 269, 5047, 519, 8313, 568, 711, 1644, 547, 1022, 14664, 267, 1587, 538, 1646, 610, 30630, 2472, 269, 901, 814, 1044, 4080, 538, 519, 3382, 4484, 547, 1489, 938, 3948, 540, 1100, 4655, 540, 1719, 269, 901, 1281, 711, 7369, 519, 4589, 685, 15984, 547, 782, 519, 12813, 5308, 21450, 4507, 593, 4687, 1239, 543, 2326, 563, 9773, 6458, 543, 6171, 667, 616, 1898, 5567, 585, 519, 1480, 1560, 2429, 519, 1272, 543, 616, 5702, 5532, 607, 6171, 667, 10638, 666, 2569, 15499, 10338, 540, 7513, 476, 543, 1970, 8192, 6981, 540, 7513, 2164, 538, 2799, 3032, 29440, 540, 6171, 667, 2073, 1547, 769, 1453, 267, 12192, 667, 10638, 666, 2014, 2208, 29472, 566, 543, 678, 1157, 1115, 1547, 8899, 8192, 7513, 543, 6171, 667, 6981, 267, 1970, 4598, 547, 7943, 543, 1164, 20239, 622, 6981, 9192, 547, 16578, 6171, 667, 10638, 543, 678, 1157, 1115, 1547, 5525, 1851, 7489, 1453, 543, 3979, 1977, 14038, 849, 6700, 602, 1970, 8192, 6981, 540, 7513, 16578, 519, 1646, 540, 12192, 667, 10638, 543, 678, 1157, 1115, 1547, 769, 4079, 267, 3834, 990, 9559, 2670, 667, 786, 22652, 1312, 11560, 13449, 807, 543, 21404, 543, 2333, 519, 1981, 540, 17795, 1107, 269, 769, 1840, 267, 1896, 2090, 723, 6700, 602, 6171, 667, 21455, 568, 3238, 538, 4227, 9025, 3676, 543, 1981, 1547, 589, 17053, 1353, 5342, 1851, 476, 1240, 267, 18597, 2367, 12290, 519, 7681, 1063, 16796, 476, 1839, 263, 15121, 264, 291, 543, 1981, 540, 18337, 2068, 267, 1346, 609, 16796, 476, 1839, 263, 15121, 264, 291, 18016, 4391, 16354, 565, 13624, 264, 2348, 2362, 1981, 540, 3384, 26961, 658, 1102, 541, 794, 267, 3379, 609, 1346, 609, 2157, 540, 6171, 667, 21759, 4037, 16354, 565, 13624, 264, 1547, 6271, 1353, 4553, 476, 274, 267, 1822, 24272, 22057, 2550, 945, 941, 22991, 5219, 547, 18337, 2587, 25086, 585, 5722, 1296, 543, 1336, 602, 2550, 609, 4049, 3834, 990, 9559, 2670, 667, 267, 3989, 607, 476, 1839, 263, 15121, 264, 291, 2999, 1839, 16354, 565, 13624, 267, 1185, 513, 1981, 540, 12955, 689, 2295, 5821, 610, 6727, 13487, 2669, 602, 729, 1614, 547, 2947, 2053, 3152, 982, 1851, 2550, 609, 6099, 2157, 540, 6171, 667, 1547, 12192, 667, 949, 2709, 15324, 543, 9354, 2640, 855, 519, 1909, 540, 6171, 667, 568, 1950, 543, 3340, 2417, 8062, 547, 5581, 2436, 1875, 1606, 651, 13762, 2360, 666, 581, 2047, 11911, 547, 519, 2333, 540, 6171, 667, 6981, 4586, 11847, 9285, 9860, 540, 6171, 667, 10638, 543, 1202, 340, 11797, 4096, 593, 519, 2759, 11325, 2418, 1031, 602, 4268, 1063, 2090, 269, 1323, 6059, 476, 272, 5479, 1004, 5001, 723, 6171, 667, 10638, 610, 1202, 340, 11797, 1547, 23207, 569, 267, 3834, 990, 9559, 2670, 667, 568, 1373, 4080, 538, 6417, 8062, 689, 5607, 543, 4061, 568, 711, 25422, 11347, 269, 769, 9031, 267, 519, 9860, 540, 3834, 990, 9559, 2670, 667, 630, 1839, 263, 15121, 264, 291, 2999, 4391, 269, 276, 16354, 565, 13624, 264, 568, 4080, 538, 476, 5780, 269, 278, 260, 12256, 543, 476, 10037, 269, 272, 260, 540, 20418, 11299, 1547, 769, 3127, 267, 476, 4366, 260, 540, 11299, 543, 476, 7367, 260, 540, 12256, 723, 476, 1839, 263, 15121, 264, 291, 1447, 982, 476, 1839, 16354, 565, 13624, 1547, 769, 3624, 267, 476, 8660, 260, 540, 15730, 6690, 538, 19864, 723, 16796, 476, 1839, 263, 15121, 264, 291, 2999, 2004, 16354, 565, 13624, 1547, 14523, 990, 9559, 2670, 667, 267, 3989, 676, 513, 476, 1839, 263, 15121, 264, 291, 5834, 2999, 2004, 16354, 565, 13624, 267, 814, 849, 1044, 3254, 538, 476, 3445, 260, 540, 2021, 689, 15173, 15158, 476, 543, 476, 2568, 260, 24414, 2021, 2073, 543, 538, 476, 7761, 260, 540, 3119, 1153, 1453, 538, 17111, 2073, 5103, 2713, 2673, 547, 519, 20173, 540, 20337, 563, 18128, 2064, 11021, 513, 1164, 9860, 540, 7513, 10638, 6818, 538, 1312, 2919, 543, 3384, 2477, 269, 1280, 1383, 267, 538, 519, 2136, 8003, 267, 621, 568, 6059, 602, 476, 1724, 260, 547, 476, 1240, 260, 540, 2021, 1063, 519, 6502, 540, 476, 1691, 547, 476, 4097, 1296, 543, 476, 279, 260, 547, 476, 1428, 260, 540, 1346, 936, 476, 4792, 1296, 616, 7513, 28119, 1547, 3204, 8973, 519, 3384, 1158, 267, 3110, 3770, 7513, 6981, 568, 6059, 693, 1152, 476, 1839, 260, 547, 476, 3451, 260, 540, 519, 7850, 6981, 585, 1082, 5095, 543, 2085, 2516, 4586, 1103, 10476, 267, 1239, 593, 6171, 667, 543, 7513, 616, 23661, 610, 5645, 856, 593, 3908, 5439, 540, 5095, 2073, 1547, 1306, 513, 1267, 267, 519, 19176, 12080, 540, 2657, 16761, 513, 1353, 538, 1931, 547, 3489, 1344, 593, 891, 19518, 18487, 269, 634, 1292, 6662, 540, 519, 1459, 1353, 729, 3976, 547, 3313, 519, 9860, 540, 6171, 667, 543, 7513, 19518, 538, 2021, 543, 1762, 1453, 3769, 538, 513, 25050, 22021, 5619, 5645, 856, 538, 476, 866, 16899, 540, 10476, 693, 519, 1439, 540, 476, 1001, 271, 543, 741, 9422, 5829, 1981, 2188, 563, 29605, 543, 10613, 454, 19138, 5071, 543, 6341, 7204, 454, 1103, 476, 1220, 280, 267, 513, 18487, 1426, 4616, 5619, 729, 5645, 538, 10476, 1851, 1762, 1453, 543, 2021, 540, 10285, 2085, 689, 476, 278, 267, 27151, 10820, 14477, 5697, 1210, 513, 14404, 1881, 476, 273, 22533, 12440, 10386, 5650, 609, 5506, 8167, 622, 547, 2450, 630, 10441, 4683, 543, 476, 2412, 279, 6917, 13421, 1040, 769, 476, 1001, 271, 267, 519, 1482, 5171, 941, 556, 1606, 584, 3272, 539, 547, 1683, 3606, 1344, 593, 25050, 22021, 4567, 540, 2021, 538, 10285, 2085, 543, 1762, 1453, 269, 634, 476, 1001, 271, 25050, 22021, 1353, 476, 729, 5645, 13050, 538, 513, 15410, 540, 476, 279, 2412, 1482, 10820, 689, 476, 6321, 4683, 543, 476, 6321, 6917, 13421, 630, 1428, 10820, 829, 12440, 264, 689, 476, 866, 14477, 5697, 16899, 267, 476, 277, 689, 519, 3345, 267, 476, 276, 689, 519, 4741, 543, 476, 279, 689, 519, 3162, 6029, 513, 32321, 7059, 3892, 563, 2690, 7513, 543, 6171, 667, 267, 782, 519, 1453, 14477, 5697, 689, 519, 476, 1001, 271, 1353, 941, 3769, 1547, 1280, 519, 2021, 540, 10285, 2085, 267, 519, 3732, 2450, 2877, 729, 6059, 547, 581, 476, 29045, 5396, 547, 3489, 1344, 593, 519, 3003, 2551, 269, 2060, 606, 4397, 1374, 1198, 540, 476, 273, 269, 271, 267, 513, 5934, 3732, 2450, 540, 476, 276, 4343, 5396, 729, 7229, 547, 1205, 513, 8856, 540, 476, 276, 269, 271, 10065, 1677, 1450, 585, 1761, 9000, 540, 513, 11919, 3732, 476, 30020, 2021, 941, 14477, 5697, 689, 519, 1592, 540, 519, 476, 272, 267, 26392, 2021, 5697, 585, 519, 824, 25050, 19153, 2073, 14404, 1881, 585, 11662, 543, 6917, 270, 18076, 2713, 1858, 269, 29120, 11919, 5439, 941, 9916, 585, 7513, 543, 6171, 667, 9830, 269, 634, 1353, 9043, 568, 4843, 538, 4137, 476, 272, 563, 9616, 281, 634, 2551, 9916, 585, 713, 2376, 568, 513, 7449, 2217, 540, 519, 2817, 5253, 29283, 11752, 3732, 602, 729, 849, 1031, 585, 519, 13780, 4204, 12192, 543, 25115, 4347, 545, 13853, 5530, 269, 1717, 267, 713, 7449, 2217, 814, 711, 21678, 519, 2164, 267, 607, 2147, 4681, 593, 8192, 7513, 6981, 941, 1336, 1851, 519, 476, 278, 7176, 271, 10820, 23500, 4586, 15675, 539, 2021, 543, 1453, 941, 14376, 547, 519, 2155, 2317, 2657, 4741, 2038, 6640, 269, 5753, 543, 2021, 941, 26693, 1510, 10887, 610, 5070, 1023, 543, 9849, 1769, 9660, 676, 1210, 513, 3666, 609, 513, 8856, 540, 476, 271, 269, 272, 4846, 630, 28694, 23531, 18554, 17361, 18000, 7534, 7460, 268, 276, 6246, 267, 3567, 1040, 27551, 729, 6027, 676, 1210, 513, 4463, 7893, 3926, 609, 513, 8856, 540, 476, 271, 269, 272, 4699, 630, 6229, 523, 4463, 4604 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5122, 7221, 1141, 513, 5821, 1131, 581, 21472, 547, 519, 2754, 779, 5106, 454, 268, 21302, 1018, 4066, 616, 20749, 2139, 547, 8524, 543, 2445, 13178, 1239, 1808, 585, 8159, 519, 1072, 540, 707, 7221, 269, 5871, 4066, 2139, 616, 18342, 5687, 2762, 267, 23197, 16953, 267, 2497, 28703, 16953, 267, 5179, 1699, 2079, 267, 9864, 11166, 4152, 267, 3308, 24422, 543, 2228, 2837, 5464, 563, 268, 13693, 609, 513, 29449, 602, 24870, 538, 5122, 5826, 3106, 3457, 630, 4932, 16256, 338, 264, 971, 607, 16843, 3041, 306, 269, 966, 754, 832, 616, 8348, 547, 4217, 596, 609, 513, 3802, 1472, 540, 707, 9744, 543, 1118, 7840, 593, 2472, 543, 2533, 2877, 547, 3035, 519, 3804, 563, 268, 9524, 513, 21614, 296, 6476, 1063, 519, 3790, 540, 12561, 4066, 547, 1489, 513, 2783, 1759, 1982, 5288, 269, 519, 1942, 540, 9709, 14791, 29987, 267, 796, 680, 10165, 29987, 267, 7816, 610, 10682, 540, 8959, 7221, 543, 1764, 547, 519, 2754, 779, 1439, 3755, 454, 268, 21480, 1587, 19698, 543, 2866, 585, 707, 2319, 454, 7312, 1382, 849, 9672, 602, 10073, 540, 513, 2783, 1759, 5826, 1982, 9001, 661, 5960, 17762, 8813, 896, 519, 5822, 6513, 540, 519, 29458, 5183, 476, 3583, 292, 28762, 8944, 540, 11485, 6513, 10613, 1572, 24639, 7034, 2316, 307, 28513, 269, 4107, 5122, 7221, 1590, 581, 1202, 4624, 896, 2407, 4452, 269, 661, 5960, 17762, 616, 1007, 968, 32552, 676, 5071, 892, 2472, 602, 5512, 2922, 5122, 24422, 547, 581, 5340, 896, 3339, 4452, 1510, 6679, 519, 3937, 9885, 610, 6227, 602, 1131, 16616, 4600, 547, 1981, 269, 6270, 2472, 616, 28196, 1456, 875, 24422, 540, 5122, 7221, 666, 581, 5340, 269, 2060, 519, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 6042, 538, 1747, 267, 661, 5960, 17762, 616, 519, 9266, 3903, 585, 3001, 2509, 513, 2783, 1759, 5826, 1982, 563, 5629, 707, 2754, 4628, 3792, 1206, 519, 2783, 1759, 5826, 1982, 267, 519, 6444, 2640, 786, 581, 6325, 2754, 4238, 267, 519, 5207, 1377, 540, 3106, 538, 519, 9036, 543, 9013, 5665, 3790, 676, 14874, 519, 1981, 540, 606, 796, 680, 10165, 1379, 5821, 269, 28597, 609, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 6042, 568, 9672, 676, 1210, 661, 5960, 9169, 547, 8524, 10069, 1242, 5122, 7221, 1247, 14874, 519, 1981, 540, 5945, 538, 519, 9036, 563, 8512, 658, 2598, 8408, 630, 11520, 264, 666, 2049, 538, 5420, 543, 1164, 6453, 6467, 613, 541, 543, 4564, 513, 15059, 1063, 1079, 10647, 22809, 269, 1403, 19113, 568, 711, 9571, 267, 519, 3441, 547, 5122, 3937, 666, 581, 21472, 543, 2014, 3978, 3106, 2621, 538, 519, 9036, 269, 19113, 666, 3362, 581, 9571, 609, 16953, 543, 16953, 24422, 1058, 581, 3769, 538, 513, 6296, 16762, 5826, 4640, 269, 901, 3381, 14550, 875, 19113, 666, 581, 9571, 609, 519, 946, 540, 519, 12312, 639, 19113, 1688, 18988, 16953, 4152, 3926, 563, 7312, 2754, 568, 10442, 11449, 543, 16459, 5826, 14791, 9486, 547, 16783, 609, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 9990, 269, 1306, 519, 9614, 540, 519, 1507, 5826, 2319, 267, 596, 616, 2324, 609, 513, 22639, 547, 2328, 513, 20487, 3561, 585, 6220, 891, 9486, 883, 1312, 707, 4540, 3937, 543, 1007, 3937, 16551, 607, 851, 540, 707, 2783, 1759, 5826, 10873, 269, 2659, 2754, 30877, 519, 2640, 540, 12570, 519, 1072, 540, 922, 2565, 5122, 7221, 269, 634, 22639, 2488, 5813, 883, 782, 540, 519, 7355, 602, 1590, 581, 2808, 950, 28408, 5826, 14791, 9486, 269, 2913, 779, 17412, 891, 7355, 602, 991, 547, 581, 2808, 563, 14611, 5199, 6184, 18936, 8837, 2097, 609, 1114, 3156, 269, 2913, 779, 17412, 912, 268, 5606, 14518, 630, 7644, 264, 8837, 281, 16843, 9486, 1450, 18342, 12514, 547, 1294, 543, 2268, 2837, 540, 3615, 543, 4296, 3330, 10069, 1242, 5122, 3937, 609, 519, 6227, 543, 9885, 538, 1747, 630, 10852, 8877, 513, 2922, 543, 9856, 539, 2783, 1040, 16843, 8837, 1450, 3308, 267, 18342, 543, 11158, 24422, 269, 1452, 9486, 616, 2810, 538, 8560, 607, 3549, 16783, 609, 519, 29458, 5183, 476, 3583, 292, 476, 1001, 279, 6042, 1317, 789, 1683, 513, 2922, 543, 1942, 15807, 1259, 547, 2932, 24422, 593, 10069, 1242, 5122, 3937, 563, 268, 11638, 14482, 9592, 20904, 6184, 18936, 8837, 281, 1452, 9486, 979, 3564, 1175, 18342, 14791, 676, 4946, 16953, 12588, 269, 769, 1840, 547, 3850, 585, 8143, 9196, 267, 3308, 543, 11158, 24422, 267, 16953, 543, 9864, 11166, 24422, 666, 581, 5340, 1107, 782, 689, 513, 2582, 6885, 269, 901, 1935, 568, 1942, 15807, 585, 519, 2754, 2949, 607, 835, 1826, 540, 6885, 666, 13918, 2789, 14791, 23857, 563, 3080, 29449, 267, 16843, 3041, 306, 267, 666, 1683, 2688, 5826, 14791, 9486, 538, 1022, 2450, 267, 3337, 543, 1256, 2681, 269, 2353, 16843, 3041, 306, 779, 9486, 849, 616, 2901, 772, 299, 13876, 1242, 610, 772, 299, 5903, 539, 269, 11426, 9486, 543, 10682, 8440, 5512, 5892, 968, 684, 15564, 1051, 762, 892, 7221, 547, 581, 968, 1231, 1051, 762, 9731, 8448, 7600, 4997, 585, 10410, 4328, 8837, 912, 268, 12197, 540, 7348, 630, 293, 10976, 9984, 12197, 540, 7348, 3217, 883, 7156, 519, 13156, 7285, 543, 3845, 689, 519, 1843, 540, 519, 8254, 543, 6885, 2324, 8195, 269, 3657, 782, 519, 4835, 3615, 7298, 547, 519, 8254, 610, 568, 1945, 17527, 519, 8254, 779, 2070, 286, 634, 674, 10976, 9819, 11887, 519, 2450, 540, 14791, 6885, 2877, 585, 1142, 4062, 540, 3937, 269, 1879, 28408, 9486, 593, 1007, 3937, 267, 1118, 2386, 547, 14574, 519, 9072, 596, 1616, 547, 581, 2111, 547, 1294, 543, 2322, 519, 5539, 585, 8939, 14013, 21092, 9486, 5196, 519, 744, 4932, 779, 1374, 2319, 563, 268, 32001, 5071, 1107, 10220, 609, 1166, 2459, 1464, 267, 1764, 543, 4452, 4170, 543, 744, 4932, 16551, 585, 2326, 543, 2681, 269, 634, 32001, 3382, 14014, 519, 6885, 3294, 543, 519, 5826, 2319, 563, 268, 7348, 532, 30776, 10049, 1107, 519, 7828, 1570, 1590, 16641, 7344, 1764, 543, 4452, 4170, 609, 519, 3382, 1930, 269, 634, 7828, 1590, 849, 723, 513, 6378, 543, 7123, 6771, 2557, 585, 519, 1272, 540, 519, 1770, 543, 711, 1689, 936, 942, 269, 19452, 267, 519, 7828, 1570, 1058, 711, 1689, 609, 4598, 547, 11195, 610, 824, 2825, 2188, 971, 607, 19089, 269, 30482, 7828, 1570, 1058, 16641, 4598, 547, 519, 3141, 543, 711, 1689, 950, 6534, 547, 1216, 563, 268, 12501, 5874, 22490, 1107, 8837, 267, 4470, 593, 3498, 267, 949, 991, 547, 16783, 609, 2789, 24501, 971, 607, 772, 299, 267, 7379, 13158, 902, 267, 595, 6347, 585, 4516, 267, 20959, 11621, 585, 1808, 3937, 2010, 543, 7463, 13995, 585, 7286, 3156, 971, 607, 32008, 779, 540, 5507, 10088, 1998, 267, 589, 7034, 610, 667, 301, 309, 563, 268, 13437, 16551, 1107, 14574, 519, 1604, 2837, 1141, 519, 32001, 786, 21078, 269, 20211, 1230, 24287, 4152, 949, 581, 2838, 4470, 593, 519, 3498, 540, 519, 32001, 610, 6467, 613, 541, 602, 3568, 519, 32001, 1107, 593, 1007, 3937, 713, 3587, 519, 5539, 540, 519, 744, 4932, 607, 851, 540, 741, 968, 6943, 4152, 892, 10873, 269, 10410, 1518, 519, 7828, 1570, 6771, 2557, 581, 7123, 936, 519, 6885, 779, 5665, 1272, 269, 6184, 675, 602, 519, 8837, 616, 15095, 609, 782, 2306, 543, 3631, 540, 16843, 543, 22292, 12514, 269, 1403, 596, 3442, 513, 32001, 609, 16843, 267, 8299, 14647, 543, 3487, 658, 2598, 8408, 3156, 267, 519, 32001, 1590, 581, 7379, 273, 311, 5360, 5050, 563, 268, 634, 2640, 540, 1210, 20904, 6184, 18936, 8837, 29387, 519, 2143, 4058, 1184, 7551, 2870, 513, 2922, 1604, 585, 8524, 532, 5122, 7221, 896, 2407, 4452, 2175, 269, 2060, 8837, 267, 513, 2582, 8524, 528, 666, 3362, 543, 9108, 1685, 513, 8905, 543, 3533, 5531, 1239, 543, 1685, 513, 7678, 532, 2079, 547, 3313, 1142, 10697, 779, 1072, 269, 634, 8837, 849, 1683, 1569, 547, 538, 17739, 1043, 9072, 602, 1223, 2760, 581, 1202, 4624, 1354, 799, 2488, 8537, 1239, 593, 811, 540, 707, 2565, 7221, 602, 2154, 14791, 269, 634, 3804, 540, 2783, 2861, 5826, 568, 547, 7678, 519, 1072, 540, 519, 7221, 936, 942, 543, 3313, 950, 606, 10697, 568, 6029, 4191, 540, 21324, 267, 865, 621, 666, 581, 3362, 6378, 1354, 519, 10697, 14543, 563, 5522, 8911, 585, 543, 8159, 20904, 6184, 18936, 32001, 779, 16551, 949, 3100, 524, 13246, 727, 282, 2705, 267, 2899, 519, 20487, 568, 5462, 543, 519, 8837, 616, 8704, 267, 519, 5826, 2319, 786, 581, 2111, 547, 1685, 11507, 5488, 543, 811, 4749, 543, 1034, 1271, 267, 10930, 269, 901, 6038, 7182, 796, 2675, 1117, 27968, 29987, 585, 519, 2754, 543, 6971, 27644, 5665, 3790, 269, 20904, 14791, 9486, 786, 6038, 2569, 519, 11192, 8779, 540, 13574, 11429, 630, 307, 4596, 264, 540, 707, 5122, 5989, 7221, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7352, 766, 267, 9208, 7352, 766, 540, 2473, 263, 4134, 4740, 4351, 4632, 3418, 290, 5317, 281, 30016, 268, 279, 1477, 12041, 281, 16541, 14225, 280, 1477, 14630, 281, 476, 1708, 271, 270, 1556, 270, 1015, 1477, 18851, 5897, 5814, 11885, 607, 5286, 476, 1948, 1210, 4528, 268, 272, 269, 866, 269, 274, 952, 596, 616, 8837, 7193, 1477, 5814, 2979, 24653, 3698, 2855, 17750, 28399, 825, 5044, 815, 1496, 15947, 825, 1247, 6936, 6769, 1038, 1003, 815, 3403, 2891, 19152, 4756, 610, 1439, 281, 14744, 1038, 952, 1003, 2652, 834, 754, 257, 6769, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 5044, 6910, 263, 15615, 16325, 17903, 2018, 1820, 263, 6783, 267, 29038, 257, 2608, 476, 1015, 267, 6352, 263, 6783, 17903, 825, 2132, 5044, 24653, 3698, 2040, 9078, 333, 263, 541, 8029, 825, 2040, 272, 815, 476, 271, 1477, 825, 585, 1003, 538, 818, 6769, 1038, 23692, 815, 2979, 28802, 16325, 267, 2979, 4318, 3418, 1038, 2040, 272, 6834, 23692, 1477, 825, 2132, 2040, 272, 24653, 3698, 15254, 263, 541, 8029, 825, 2040, 273, 815, 476, 271, 1477, 825, 585, 1003, 538, 818, 6769, 1038, 771, 815, 1003, 910, 5286, 32557, 263, 541, 3418, 1038, 2040, 273, 6834, 771, 2608, 771, 1477, 825, 2132, 2040, 273, 14370, 6352, 263, 541, 264, 910, 476, 272, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1948, 2855, 815, 2855, 17750, 14052, 825, 2855, 815, 1496, 3374, 267, 476, 1626, 267, 476, 1428, 267, 476, 1704, 267, 476, 1704, 267, 476, 1789, 267, 476, 1556, 267, 476, 1626, 267, 476, 866, 267, 476, 2190, 15947, 825, 2855, 318, 11743, 815, 5286, 32557, 19906, 3418, 825, 2855, 318, 12534, 815, 15254, 19906, 3418, 825, 2855, 14067, 323, 815, 15254, 19906, 264, 2878, 476, 271, 269, 276, 1477, 825, 1820, 2891, 13614, 281, 4939, 325, 257, 4939, 2855, 318, 11743, 3418, 825, 1820, 2891, 24868, 766, 630, 684, 26330, 2567, 4939, 325, 257, 4939, 2855, 318, 12534, 3418, 825, 1820, 2891, 1805, 323, 318, 24868, 766, 630, 684, 26330, 2567, 4939, 325, 257, 4939, 2855, 14067, 323, 3418, 5897, 5897, 5897, 0, 3698, 1293, 29223, 14476, 23544, 318, 10864, 2510, 19906, 2187, 825, 952, 711, 2855, 912, 1038, 2132, 11713, 825, 1293, 29223, 815, 476, 271, 454, 825, 2040, 318, 10864, 815, 476, 271, 454, 825, 585, 1535, 538, 2855, 912, 1038, 952, 1535, 3436, 476, 271, 912, 2018, 1293, 29223, 6834, 476, 272, 454, 1038, 8640, 1535, 2999, 476, 271, 912, 2018, 2040, 318, 10864, 6834, 343, 454, 825, 2132, 1496, 12248, 29223, 267, 2040, 318, 10864, 316 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 693, 476, 273, 5998, 10774, 337, 269, 1358, 2743, 538, 476, 275, 3108, 269, 1215, 3728, 568, 15608, 6972, 286, 589, 264, 476, 274, 5998, 10774, 337, 645, 264, 476, 1321, 5998, 10774, 337, 595, 264, 476, 278, 5998, 10774, 337, 667, 264, 476, 273, 269, 276, 5998, 10774, 337, 8382, 281, 589, 692, 6246, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 476, 25172, 264, 3245, 513, 1448, 593, 513, 2786, 4155, 267, 1079, 6517, 616, 9141, 538, 6587, 8846, 267, 835, 693, 476, 2420, 5195, 829, 5662, 543, 519, 824, 693, 476, 7761, 5195, 829, 5662, 269, 769, 875, 1082, 3108, 786, 789, 581, 476, 4391, 277, 5195, 6306, 286, 589, 264, 476, 276, 3108, 645, 264, 476, 274, 3108, 595, 264, 476, 275, 3108, 667, 264, 3502, 2614, 1344, 8382, 281, 595, 476, 21857, 264, 3245, 513, 1448, 593, 513, 2786, 4155, 267, 3627, 543, 12049, 11878, 30158, 538, 6587, 8846, 269, 3627, 26055, 476, 276, 5195, 829, 5662, 543, 12049, 26055, 476, 278, 5195, 829, 5662, 269, 769, 875, 1082, 3108, 786, 789, 581, 476, 2568, 5195, 6306, 286, 589, 264, 476, 277, 3108, 645, 264, 3502, 2614, 1344, 595, 264, 476, 275, 3108, 667, 264, 476, 276, 3108, 8382, 281, 667, 476, 26562, 264, 3245, 513, 1448, 593, 513, 5757, 267, 1079, 16996, 616, 9141, 538, 6587, 8846, 267, 835, 693, 476, 277, 5195, 829, 5662, 543, 519, 824, 693, 476, 280, 5195, 829, 5662, 269, 769, 875, 1082, 3108, 786, 789, 581, 476, 4037, 5195, 6306, 286, 589, 264, 476, 276, 32162, 645, 264, 476, 272, 32162, 595, 264, 476, 278, 32162, 667, 264, 476, 277, 32162, 8382, 281, 589, 476, 22724, 264, 667, 699, 330, 568, 2185, 2053, 607, 2025, 607, 8861, 269, 8422, 1296, 3516, 519, 2040, 540, 741, 6502, 729, 476, 3066, 269, 1215, 2025, 568, 1142, 1631, 286, 589, 264, 667, 699, 330, 281, 476, 4029, 29757, 2025, 282, 8861, 281, 476, 14625, 29757, 2025, 645, 264, 667, 699, 330, 281, 476, 14138, 29757, 2025, 282, 8861, 281, 476, 3066, 29757, 2025, 595, 264, 667, 699, 330, 281, 476, 14056, 29757, 2025, 282, 8861, 281, 476, 2764, 29757, 2025, 667, 264, 667, 699, 330, 281, 476, 3066, 29757, 2025, 282, 8861, 281, 476, 14056, 29757, 2025, 8382, 281, 645, 476, 14838, 264, 589, 6666, 1512, 814, 513, 2698, 540, 476, 14695, 12014, 267, 1500, 909, 540, 535, 1161, 543, 9937, 269, 634, 2698, 1871, 540, 519, 2724, 568, 8096, 31318, 269, 1215, 1082, 4557, 1673, 20683, 12014, 1281, 519, 6666, 1512, 723, 286, 589, 264, 476, 1724, 4557, 1673, 20683, 12014, 645, 264, 476, 2918, 4557, 1673, 20683, 12014, 595, 264, 476, 4375, 4557, 1673, 20683, 12014, 667, 264, 476, 1911, 4557, 1673, 20683, 12014, 8382, 281, 645, 476, 16348, 264, 2961, 5055, 1568, 585, 8096, 1240, 606, 5662, 269, 589, 2698, 540, 476, 736, 260, 540, 1200, 14057, 568, 20952, 539, 585, 9204, 543, 6142, 269, 1215, 1082, 3108, 1590, 1352, 960, 547, 1491, 1753, 8096, 25971, 271, 286, 589, 264, 476, 1220, 32162, 645, 264, 476, 4968, 32162, 595, 264, 476, 5197, 32162, 667, 264, 476, 7742, 32162, 8382, 281, 589, 692, 4510, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 476, 27038, 264, 1403, 717, 3271, 807, 4607, 513, 476, 1321, 2600, 6318, 543, 568, 1631, 1818, 8096, 2420, 267, 6110, 513, 1032, 267, 1018, 729, 1200, 14057, 1354, 519, 6318, 286, 18471, 547, 519, 14282, 13362, 952, 2556, 269, 589, 264, 8096, 736, 267, 6110, 645, 264, 8096, 736, 267, 1822, 595, 264, 8096, 866, 267, 278, 1321, 667, 264, 8096, 2641, 267, 1822, 8382, 281, 645, 476, 28670, 264, 2311, 519, 1439, 540, 519, 1554, 267, 513, 4558, 24010, 1185, 8096, 13893, 273, 538, 519, 6666, 11578, 267, 10203, 1312, 519, 9042, 540, 5370, 543, 519, 6455, 3454, 540, 476, 274, 10065, 4855, 519, 2179, 602, 568, 519, 3454, 269, 18471, 547, 519, 14282, 13362, 952, 2556, 269, 589, 264, 8096, 3451, 645, 264, 8096, 5655, 595, 264, 8096, 6246, 667, 264, 8096, 5325, 8382, 281, 645, 3503, 606, 8635, 5473, 519, 4756, 1535, 602, 6257, 519, 1305, 540, 2338, 1178, 335, 1117, 269, 476, 28796, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 1535, 18016, 910, 276, 645, 264, 1535, 21759, 910, 276, 595, 264, 1535, 3436, 910, 276, 667, 264, 1535, 2999, 910, 276, 8382, 281, 595, 692, 18605, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 1535, 910, 278, 645, 264, 1535, 3436, 910, 278, 595, 264, 1535, 2999, 910, 278, 667, 264, 1535, 21759, 910, 278, 18016, 692, 12585, 281, 595, 692, 28360, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 1535, 3436, 910, 277, 645, 264, 1535, 18016, 910, 277, 595, 264, 1535, 2999, 910, 277, 667, 264, 1535, 21759, 910, 277, 8382, 281, 667, 692, 26783, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 1535, 3436, 910, 273, 645, 264, 1535, 21759, 910, 273, 595, 264, 1535, 18016, 910, 273, 667, 264, 1535, 2999, 910, 273, 8382, 281, 595, 692, 3393, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 28091, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 476, 271, 18016, 1535, 2999, 476, 275, 645, 264, 476, 271, 18016, 1535, 18016, 476, 275, 595, 264, 476, 271, 2999, 1535, 18016, 476, 275, 667, 264, 476, 271, 2999, 1535, 2999, 476, 275, 8382, 281, 645, 692, 25784, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 476, 273, 18016, 1535, 2999, 476, 277, 645, 264, 476, 273, 18016, 1535, 18016, 476, 277, 595, 264, 476, 273, 2999, 1535, 2999, 476, 277, 667, 264, 476, 273, 2999, 1535, 18016, 476, 277, 8382, 281, 595, 692, 25228, 2020, 268, 278, 910, 277, 910, 276, 910, 275, 910, 274, 910, 273, 910, 272, 476, 271, 692, 288, 264, 910, 274, 2999, 1535, 18016, 476, 272, 645, 264, 910, 274, 18016, 1535, 18016, 476, 272, 595, 264, 910, 274, 2999, 1535, 2999, 476, 272, 667, 264, 910, 274, 18016, 1535, 2999, 476, 272, 8382, 281, 667, 3503, 1142, 8635, 538, 8884, 10035, 543, 3113, 519, 8884, 593, 513, 1297, 1899, 269, 476, 29214, 264, 1535, 3436, 476, 276, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 11196, 3980, 508, 267, 476, 276, 264, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 289, 264, 630, 276, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 290, 264, 11196, 3980, 508, 267, 476, 276, 316, 910, 278, 692, 268, 277, 692, 291, 264, 1496, 276, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 12585, 281, 645, 692, 5379, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 692, 17359, 3758, 693, 4179, 2517, 11687, 23810, 684, 643, 4318, 340, 20324, 5476, 940, 7146, 24493, 23059, 25575, 5040, 268, 277, 628, 7232, 1288, 6441, 658, 6874, 652, 5174, 1678, 476, 29045, 264, 1535, 2999, 910, 275, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 11196, 3980, 508, 267, 910, 275, 316, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 289, 264, 11196, 3980, 508, 267, 910, 275, 264, 910, 278, 692, 268, 277, 692, 290, 264, 11196, 275, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 291, 264, 30585, 275, 267, 3980, 508, 264, 910, 278, 692, 268, 277, 692, 12585, 281, 645, 476, 28803, 264, 1535, 21759, 476, 271, 910, 278, 692, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 288, 264, 1496, 271, 267, 3980, 508, 264, 910, 278, 692, 289, 2020, 268, 277, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 268, 276, 692, 268, 275, 692, 268, 274, 692, 268, 273, 692, 268, 272, 692, 271, 692, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 277, 692, 278, 692, 8987, 3980 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 606, 6418, 1587, 2230, 609, 6418, 1587, 20301, 676, 1535, 32244, 31976, 485, 586, 269, 2913, 1535, 32244, 31976, 505, 12882, 382, 484, 382, 496, 1535, 543, 586, 32244, 31976, 505, 12882, 382, 484, 382, 496, 586, 581, 9696, 538, 3331, 364, 31976, 489, 269, 476, 470, 3331, 364, 31976, 505, 3331, 364, 31976, 485, 3331, 364, 31976, 505, 476, 470, 476, 470, 476, 470, 476, 470, 263, 343, 3738, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 815, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 32244, 31976, 505, 12882, 382, 486, 382, 496, 630, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 1341, 630, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 476, 470, 476, 470, 476, 470, 476, 470, 12882, 382, 487, 11366, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 32244, 31976, 505, 12882, 382, 486, 382, 496, 630, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 470, 1341, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 476, 470, 476, 470, 476, 470, 476, 470, 12882, 382, 487, 11366, 476, 470, 263, 343, 32244, 31976, 505, 3738, 32244, 31976, 485, 630, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 264, 470, 1341, 476, 470, 263, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 264, 32244, 31976, 485, 586, 470, 16792, 519, 595, 879, 16408, 4149, 577, 23702, 345, 8635, 476, 470, 476, 470, 3331, 364, 31976, 505, 3331, 364, 31976, 485, 3331, 364, 31976, 505, 476, 470, 263, 343, 3738, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 4595, 519, 5311, 1535, 32244, 31976, 505, 4780, 2471, 267, 621, 568, 22112, 267, 602, 568, 972, 6818, 3331, 364, 21638, 19050, 971, 602, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 354, 12882, 382, 487, 11366, 3331, 364, 21638, 19050, 585, 1169, 3331, 364, 31976, 505, 269, 4475, 476, 470, 3331, 364, 31976, 505, 3331, 364, 31976, 485, 3331, 364, 31976, 505, 476, 470, 476, 470, 263, 343, 3738, 586, 12882, 382, 486, 382, 496, 1535, 32244, 31976, 485, 586, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 487, 11366, 3331, 364, 21638, 19050, 12882, 382, 486, 382, 354, 344, 32244, 31976, 505, 12882, 382, 486, 382, 496, 586, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 343, 32244, 31976, 505, 12882, 382, 486, 382, 496, 1535, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 484, 382, 496, 476, 271, 476, 274, 269, 8287, 16792, 519, 3601, 540, 519, 6418, 1587, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 503, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 815, 1535, 32244, 31976, 485, 1535, 12882, 382, 487, 382, 354, 476, 271, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 503, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 815, 1535, 32244, 31976, 485, 1535, 815, 476, 271, 952, 543, 1152, 952, 1535, 815, 476, 271, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 504, 12882, 382, 486, 382, 503, 12882, 382, 486, 382, 354, 32244, 16807, 505, 385, 496, 343, 5889, 382, 486, 382, 354, 815, 630, 32244, 16807, 505, 385, 496, 343, 264, 32244, 31976, 485, 630, 32244, 16807, 505, 385, 496, 343, 264, 815, 3331, 364, 16807, 505, 385, 496, 273, 1535, 32244, 31976, 485, 1535, 815, 12882, 382, 486, 28462, 32244, 16807, 505, 385, 496, 5889, 382, 486, 28462, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1677, 6961, 519, 6906, 8635, 267, 7747, 602, 21536, 710, 10846, 543, 15340, 17538, 476, 273, 692, 5889, 382, 486, 382, 354, 343, 1341, 586, 5889, 382, 486, 382, 354, 815, 630, 343, 1341, 586, 264, 32244, 31976, 485, 630, 343, 1341, 586, 264, 815, 1535, 32244, 31976, 485, 1535, 1341, 1535, 32244, 31976, 485, 586, 1341, 586, 32244, 31976, 485, 1535, 1341, 1990, 32244, 31976, 485, 1990, 815, 1535, 32244, 31976, 485, 1535, 1341, 476, 273, 343, 32244, 31976, 485, 586, 1341, 586, 32244, 31976, 485, 586, 476, 273, 692, 273, 692, 284, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1341, 476, 273, 343, 32244, 31976, 485, 586, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 476, 470, 476, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 273, 1341, 476, 273, 476, 470, 343, 32244, 31976, 485, 586, 470, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 273, 16792, 519, 595, 879, 16408, 4149, 577, 23702, 345, 8635, 476, 273, 692, 273, 692, 5889, 382, 486, 382, 354, 343, 1341, 586, 5889, 382, 486, 382, 354, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1341, 476, 273, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 692, 273, 692, 284, 630, 5889, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1341, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 264, 273, 476, 274, 269, 5038, 1280, 1169, 586, 12882, 382, 486, 382, 486, 3331, 364, 31976, 489, 267, 519, 9864, 1599, 3331, 364, 31976, 497, 344, 630, 343, 264, 815, 1535, 32244, 31976, 485, 586, 568, 513, 5276, 6198, 593, 3331, 364, 31976, 489, 630, 26238, 1535, 32244, 31976, 485, 586, 568, 21536, 710, 541, 1040, 8033, 8462, 5205, 689, 519, 595, 879, 16408, 4149, 577, 23702, 345, 8635, 267, 2094, 585, 1169, 1535, 12882, 382, 486, 382, 486, 3331, 364, 31976, 489, 476, 470, 476, 470, 12882, 382, 486, 28462, 32244, 31976, 497, 344, 630, 343, 264, 5889, 382, 486, 28462, 815, 476, 470, 343, 32244, 31976, 485, 586, 470, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 476, 9873, 692, 22069, 1903, 585, 25043, 540, 19556, 13188, 799, 2982, 602, 12882, 382, 486, 382, 354, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 269, 769, 1249, 267, 12882, 382, 486, 382, 354, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 815, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 2094, 12882, 382, 486, 382, 354, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 815, 24101, 12882, 382, 486, 28462, 32244, 31976, 497, 344, 630, 343, 264, 5889, 382, 486, 28462, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 284, 272, 692, 470, 630, 3738, 470, 476, 470, 586, 476, 470, 470, 12882, 382, 487, 382, 354, 476, 470, 470, 32244, 31976, 497, 344, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 476, 470, 476, 470, 263, 476, 470, 476, 470, 586, 3738, 32244, 31976, 485, 476, 470, 476, 470, 476, 470, 815, 470, 586, 470, 476, 470, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 476, 470, 25883, 272, 3331, 364, 31976, 485, 586, 586, 815, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 12882, 382, 486, 382, 354, 344, 5889, 382, 486, 382, 354, 692, 274, 269, 4792, 1635, 519, 1284, 1512, 1598, 817, 14497, 630, 31628, 332, 476, 273, 269, 273, 1070, 519, 6024, 1599, 3331, 364, 31976, 498, 263, 343, 264, 815, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 1140, 1622, 513, 5021, 593, 519, 11741, 1305, 3331, 364, 31976, 484, 693, 930, 1448, 1535, 271, 1547, 1284, 3409, 602, 1535, 271, 568, 606, 3665, 1448, 269, 14597, 711, 269, 3973, 267, 972, 2291, 1535, 272, 2073, 1535, 273, 12882, 382, 486, 382, 486, 3331, 364, 31976, 484, 971, 602, 1535, 271, 815, 3331, 364, 16807, 505, 385, 496, 343, 272, 1341, 630, 272, 12882, 382, 486, 382, 496, 3331, 364, 16807, 505, 385, 496, 32589, 273, 815, 1535, 273, 1341, 3331, 364, 16807, 505, 385, 496, 3287, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 4595, 1535, 271, 12366, 3278, 12882, 382, 486, 382, 354, 343, 5889, 382, 486, 382, 354, 593, 3331, 364, 31976, 484, 692, 263, 3738, 32244, 31976, 485, 630, 3738, 476, 273, 476, 273, 1535, 273, 1341, 3331, 364, 16807, 505, 385, 496, 3287, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 12882, 382, 486, 382, 354, 343, 273, 12882, 382, 486, 382, 354, 12882, 382, 487, 11366, 12882, 382, 486, 382, 354, 343, 271, 12882, 382, 486, 382, 354, 815, 1535, 273, 1341, 3331, 364, 16807, 505, 385, 496, 3287, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 476, 273, 692, 284, 12882, 382, 486, 382, 354, 343, 273, 12882, 382, 486, 382, 354, 1341, 476, 273, 32244, 16807, 505, 385, 496, 343, 32244, 31976, 485, 273, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 273, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 692, 273, 692, 528, 476, 273, 692, 273, 343, 32244, 31976, 485, 273, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 12882, 382, 487, 382, 354, 476, 271, 692, 263, 274, 269, 4375, 2020, 20118, 267, 954, 577, 4474, 519, 1909, 540, 1535, 272, 543, 1535, 273, 476, 273, 692, 273, 343, 32244, 31976, 485, 272, 630, 343, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 273, 12882, 382, 486, 382, 496, 1535, 272, 12882, 382, 486, 382, 354, 12882, 382, 487, 382, 354, 476, 271, 610, 12882, 382, 486, 382, 496, 273, 343, 32244, 31976, 485, 272, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 3331, 364, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 273, 12882, 382, 487, 382, 354, 476, 271, 692, 263, 274, 269, 2412, 2020, 29002, 519, 16526, 630, 274, 269, 4375, 264, 543, 630, 274, 269, 2412, 264, 11729, 476, 273, 692, 273, 3287, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 32244, 31976, 485, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 1341, 476, 273, 32244, 16807, 505, 385, 496, 12882, 382, 486, 382, 354, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 12882, 382, 486, 382, 354, 12882, 382, 487, 382, 354, 476, 271, 610, 476, 273, 3287, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 32244, 31976, 485, 630, 343, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 815, 12882, 382, 486, 382, 496, 273, 3287, 273, 12882, 382, 486, 382, 496, 1535, 272, 3738, 32244, 31976, 485, 630, 343, 272, 12882, 382, 486, 382, 496, 1535, 273, 3738, 12882, 382, 487, 11366, 476, 273, 32244, 16807, 505, 385, 496, 12882 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1832, 621, 13411, 563, 5278, 3885, 723, 519, 2688, 540, 4946, 606, 3063, 23156, 585, 1142, 1126, 547, 3090, 1047, 519, 1769, 1453, 3142, 883, 519, 1158, 269, 2991, 8654, 519, 22250, 267, 519, 7594, 6238, 609, 918, 1342, 2313, 630, 628, 3471, 15130, 973, 1243, 936, 9174, 264, 543, 4189, 2027, 3694, 267, 1672, 1695, 563, 12988, 547, 10624, 0, 763, 1909, 540, 519, 5046, 268, 866, 13281, 18058, 28154, 786, 581, 547, 4217, 538, 16461, 1746, 5697, 10820, 547, 7119, 538, 4152, 547, 3313, 519, 5892, 32373, 539, 3262, 540, 5046, 268, 866, 2429, 18096, 563, 17357, 7431, 8290, 616, 513, 1804, 1920, 540, 8290, 4929, 4576, 538, 1004, 543, 824, 2713, 7919, 269, 5046, 268, 866, 568, 513, 2068, 3361, 676, 513, 1007, 8833, 540, 4856, 7431, 3644, 630, 306, 12678, 17336, 268, 273, 1070, 543, 922, 3262, 814, 1011, 10757, 883, 513, 2518, 6855, 563, 2691, 513, 3868, 762, 2068, 12176, 5956, 267, 519, 4998, 3210, 568, 585, 1857, 1072, 8387, 547, 2253, 4152, 585, 621, 2038, 269, 23560, 865, 5012, 547, 2656, 8446, 540, 2665, 4553, 676, 513, 13974, 4028, 3210, 267, 971, 7525, 10072, 547, 2061, 3262, 269, 7216, 4152, 849, 2337, 547, 2697, 1004, 945, 616, 7783, 865, 602, 3527, 666, 581, 3144, 547, 2061, 873, 689, 10825, 519, 3644, 547, 1866, 563, 2005, 779, 2629, 547, 1174, 945, 568, 7783, 538, 1931, 547, 917, 1018, 2115, 547, 581, 2944, 547, 3970, 519, 3262, 540, 3968, 543, 547, 6895, 1346, 7783, 865, 602, 11215, 666, 581, 13950, 950, 2877, 269, 13281, 849, 568, 1271, 538, 519, 8273, 1857, 1072, 4605, 593, 17846, 3646, 267, 4543, 22602, 21656, 519, 9860, 267, 3262, 543, 21380, 1145, 540, 519, 2068, 563, 16966, 547, 4152, 538, 18096, 814, 1044, 4101, 1813, 547, 606, 13385, 4390, 547, 1569, 543, 17982, 10368, 4255, 269, 1717, 267, 4390, 585, 4152, 568, 3533, 9750, 538, 18096, 267, 865, 1210, 713, 4390, 547, 1732, 1174, 519, 8831, 540, 3968, 2429, 519, 1533, 543, 547, 3713, 2665, 602, 1131, 6382, 711, 581, 8995, 269, 634, 18058, 28154, 786, 4196, 607, 606, 7533, 851, 540, 513, 2361, 2319, 945, 786, 948, 2697, 543, 15313, 10820, 547, 1491, 851, 538, 4152, 538, 1931, 547, 5352, 513, 811, 2347, 4605, 540, 16568, 17336, 268, 273, 3968, 6384, 538, 18096, 563, 268, 12160, 622, 538, 519, 1184, 540, 7114, 513, 3732, 540, 6098, 10820, 896, 519, 4287, 540, 606, 11763, 2068, 16917, 328, 11043, 2319, 563, 268, 29130, 10820, 547, 519, 1788, 543, 8430, 873, 585, 4152, 563, 268, 13159, 11311, 543, 16601, 2866, 547, 2327, 3106, 543, 7413, 270, 601, 574, 3729, 519, 6771, 540, 2068, 1282, 1247, 2324, 563, 268, 20821, 2534, 543, 7607, 6859, 607, 8655, 676, 28643, 563, 268, 13159, 782, 8989, 607, 2838, 676, 16108, 543, 519, 3557, 540, 18096, 563, 268, 4400, 3427, 24547, 5448, 454, 268, 18771, 581, 513, 1699, 6280, 2875, 454, 268, 16200, 2792, 1983, 454, 268, 31727, 547, 960, 2838, 16131, 454, 268, 8447, 26176, 2088, 547, 3802, 909, 547, 476, 275, 5195, 513, 1554, 454, 7093, 325, 3720, 7981, 27491, 12834, 0, 6637, 476, 1724, 585, 596, 782, 269, 1403, 596, 1616, 547, 1832, 593, 2542, 1412, 763, 594, 1188, 629, 690, 262, 693, 1753, 1287, 1246, 713, 3095, 4179, 2517, 4178, 31677, 1157, 629, 690, 2593, 270, 1348, 7308, 3613, 800, 13045, 13425, 1394, 2663, 538, 519, 3018, 547, 5873, 519, 1985, 11271, 540, 1412, 763, 594, 1188, 629, 690, 9538, 19402, 1287, 267, 723, 513, 8748, 543, 3860, 3018, 2336, 305, 13741, 1080, 3163, 10432, 476, 3066, 628, 4873, 268, 274, 6113, 5147, 454, 2252, 596, 616, 7508, 707, 13004, 267, 4945, 593, 519, 3095, 2630, 585, 513, 8691, 543, 6498, 23519, 269, 1411, 1223, 2119, 547, 2347, 476, 272, 268, 273, 3817, 513, 1554, 7258, 707, 2257, 2238, 563, 296, 4126, 596, 4312, 1185, 513, 17681, 15964, 269, 634, 3141, 814, 1044, 3843, 547, 2097, 856, 1586, 543, 594, 1589, 649, 616, 1813, 1776, 1360, 3636, 3018, 269, 8347, 547, 1205, 3544, 607, 1454, 607, 2009, 563, 1607, 3018, 707, 1753, 1565, 568, 6140, 2469, 547, 581, 4058, 543, 8876, 856, 707, 1360, 1378, 11846, 4303, 256, 16593, 2685, 713, 786, 581, 6266, 540, 1187, 585, 596, 543, 707, 3885, 563, 296, 723, 23345, 29745, 547, 1451, 713, 3018, 267, 855, 1100, 1007, 10259, 960, 269, 634, 3803, 4374, 540, 2165, 616, 513, 4960, 585, 596, 547, 2638, 1394, 936, 707, 29745, 689, 713, 1032, 543, 1118, 2386, 596, 616, 5150, 609, 782, 519, 10259, 3270, 543, 3652, 649, 723, 19927, 269, 5213, 1405, 7340, 267, 596, 1058, 849, 581, 2111, 547, 1224, 543, 11963, 519, 1913, 689, 519, 1455, 9868, 2262, 1592, 630, 9767, 1185, 513, 5299, 540, 713, 2366, 1753, 538, 707, 17835, 8094, 296, 723, 1305, 596, 930, 1603, 547, 798, 713, 3018, 630, 5408, 13723, 593, 519, 7470, 2630, 607, 1134, 607, 519, 32029, 594, 723, 23345, 264, 543, 972, 616, 513, 7008, 540, 1007, 11271, 540, 938, 1650, 585, 596, 547, 6432, 547, 607, 1134, 269, 11427, 11875, 2044, 849, 2366, 1753, 513, 1603, 4305, 538, 1200, 20394, 593, 11016, 267, 865, 2119, 547, 723, 513, 979, 693, 713, 1932, 952, 596, 723, 942, 563, 8855, 267, 519, 1412, 5978, 12567, 262, 1888, 7470, 568, 1869, 972, 547, 1832, 596, 11112, 538, 519, 1310, 7224, 976, 563, 313, 7112, 713, 3018, 786, 581, 593, 11016, 693, 476, 1556, 600, 585, 1453, 945, 616, 693, 1753, 563, 296, 9364, 2648, 547, 917, 875, 596, 616, 3478, 593, 543, 875, 707, 11846, 4303, 4422, 713, 3018, 693, 1753, 2336, 2419, 9532, 476, 1556, 1299, 476, 1321, 2483, 5970, 513, 1413, 693, 1018, 681, 13741, 1080, 1453, 723, 1044, 3257, 693, 1753, 5063, 2483, 1692, 616, 596, 286, 594, 4126, 596, 723, 1044, 11981, 519, 1888, 960, 782, 827, 1412, 5978, 12567, 262, 607, 1134, 607, 707, 2296, 543, 13174, 2238, 269, 594, 6415, 15962, 2542, 1412, 763, 594, 1188, 629, 690, 262, 543, 666, 1405, 7227, 547, 1265, 856, 1018, 4523, 1985, 2336, 2005, 729, 1390, 547, 1294, 865, 1082, 540, 596, 593, 519, 2063, 24680, 1289, 269, 3427, 568, 1360, 9602, 1510, 596, 782, 1934, 267, 594, 6415, 7508, 596, 1360, 1454, 269, 594, 6415, 2731, 20938, 602, 649, 666, 782, 3251, 1927, 585, 1776, 1032, 910, 713, 942, 607, 1032, 476, 274, 14068, 7970, 256, 2201, 602, 4063, 267, 3314, 547, 1711, 596, 3983, 3455, 1249, 3758, 543, 11247, 4712, 547, 1397, 721, 782, 593, 11016, 630, 1492, 24680, 8400, 786, 581, 693, 476, 273, 10975, 8094, 5970, 513, 1390, 3018, 543, 1205, 538, 5905, 952, 596, 991, 4376, 267, 610, 1616, 547, 1397, 803, 1022, 540, 707, 960, 563, 13043, 338, 2200, 666, 581, 1336, 2630, 269, 901, 3018, 649, 616, 2847, 2358, 2724, 912, 8967, 2454, 2200, 910, 3314, 547, 2638, 799, 1895, 596, 616, 538, 543, 1152, 2824, 519, 2200, 2877, 585, 707, 1895, 912, 2080, 568, 519, 2296, 17948, 585, 713, 3018, 781, 960, 827, 1412, 763, 594, 1188, 629, 690, 9538, 2353, 519, 7044, 540, 11271, 2877, 585, 713, 3018, 781, 1565, 666, 581, 1336, 2630, 269, 5269, 2386, 596, 20801, 1524, 547, 1265, 519, 11271, 596, 991, 2336, 2419, 9532, 476, 278, 1299, 476, 279, 2483, 296, 4126, 596, 782, 723, 513, 1390, 3018, 2407, 540, 1565, 543, 1187, 2483, 5472, 13004, 2200, 585, 6482, 713, 3018, 666, 581, 1336, 538, 519, 3758, 1592, 2630, 912, 8967, 2454, 2200, 666, 581, 1336, 2630, 269, 5457, 547, 2638, 799, 1895, 596, 616, 538, 547, 917, 799, 2200, 596, 991, 547, 4647, 912, 12626, 960, 713, 3018, 11438, 593, 689, 2063, 3018, 269, 8281, 519, 17948, 676, 14467, 593, 519, 3095, 2630, 269, 901, 6645, 596, 950, 547, 6432, 547, 519, 7044, 543, 950, 547, 4163, 856, 1114, 4247, 269, 594, 4126, 596, 616, 11981, 519, 1007, 1650, 607, 1454, 607, 594, 993, 2336, 2419, 9532, 476, 274, 1299, 476, 275, 2483, 2419, 9532, 476, 276, 1299, 476, 277, 2483, 15916, 681, 13741, 1080, 4147, 2676, 296, 666, 1405, 3494, 14182, 568, 519, 1376, 540, 2165, 476, 277, 267, 707, 3803, 2165, 607, 513, 1032, 476, 273, 256, 594, 4126, 596, 782, 10150, 519, 3368, 2165, 2736, 267, 2523, 607, 519, 4365, 729, 865, 4190, 563, 296, 723, 9709, 6266, 547, 1832, 596, 11112, 713, 3018, 269, 5269, 2386, 596, 1224, 519, 7650, 3561, 547, 1265, 856, 1018, 596, 991, 547, 798, 585, 1142, 1641, 269, 2353, 2200, 616, 23345, 267, 596, 949, 1175, 991, 547, 20801, 1524, 513, 2370, 3787, 563, 5978, 2898, 1153, 1888, 713, 2165, 568, 1412, 5978, 12567, 262, 543, 594, 723, 23345, 519, 7470, 585, 596, 547, 960, 998, 936, 519, 1985, 1906, 4374, 269, 5457, 267, 891, 616, 1175, 930, 2093, 267, 596, 666, 581, 607, 3860, 607, 596, 899, 2336, 296, 917, 713, 3884, 1405, 519, 8912, 4832, 2165, 649, 941, 782, 24584, 267, 855, 23248, 596, 616, 782, 1869, 1373, 2731, 1434, 585, 707, 3237, 543, 11981, 942, 609, 707, 3885, 563, 296, 1413, 4464, 547, 7487, 596, 1586, 4166, 593, 24680, 630, 30956, 5661, 786, 581, 4757, 539, 547, 3237, 713, 3018, 4700, 5620, 513, 8748, 3018, 2336, 13043, 338, 2534, 7470, 267, 17948, 543, 2200, 666, 581, 1336, 538, 519, 3758, 1592, 2630, 912, 8967, 2454, 2200, 910, 3314, 547, 2638, 799, 1895, 596, 616, 2336, 12626, 960, 713, 3018, 568, 782, 2143, 593, 519, 17948, 269, 8437, 519, 3095, 2630, 547, 1569, 713, 269, 5457, 267, 1152, 6432, 547, 519, 7044, 540, 519, 1650, 950, 621, 6645, 596, 547, 2336, 310, 5109, 782, 540, 681, 13741, 1080, 4147, 513, 2922, 267, 6126, 543, 11791, 3368, 2165, 2483, 305, 5723, 289, 3951, 306, 14160, 19798, 8863, 17920, 2894, 12283, 454, 7312, 4161, 713, 3018, 267, 607, 5941, 593, 938, 24680, 1289, 267, 568, 547, 1711, 1945, 856, 540, 4376, 799, 1131, 2356, 581, 16207, 2476, 610, 13381, 267, 552, 3052, 269, 23611, 10833, 267, 5144, 7047, 976, 267, 10051, 5066, 13740, 269, 2422, 707, 4337, 5209, 543, 581, 607, 3860, 607, 596, 666, 269, 1411, 723, 2394, 1985, 13628, 630, 2641, 560, 2904, 264, 547, 1711, 707, 2203, 269, 1411, 666, 1287, 1397, 3025, 707, 5137, 1282, 938, 1985, 24680, 1289, 267, 799, 786, 581, 693, 476, 273, 10975, 593, 13628, 713, 3018, 269, 594, 1131, 849, 2648, 930, 6337, 547, 2322, 593, 519, 3896, 585, 3025, 547, 1294, 563, 8340, 2630, 513, 7470, 540, 13004, 2238, 267, 32029, 543, 782, 2200, 2877, 585, 13004, 4247, 713, 3018, 2483, 8448, 2200, 585, 3018, 4098, 476, 1240, 269, 276, 269, 736, 912, 310, 16093, 995, 966, 292, 4303, 16873, 2336, 2252, 596, 616, 4881, 856, 540, 1919, 547, 1224, 693, 1753, 267, 610, 1131, 899, 513, 3099, 540, 1257, 2010, 267, 5225, 1129, 909, 547, 10228, 26449, 585, 1863, 552, 9248, 269, 7427, 519, 3095, 2630, 547, 1129, 909, 543, 1569, 593, 1606, 10547, 2542, 2835, 5532, 547, 1433, 13164, 1031, 693, 1153, 563, 296, 4126, 596, 616, 782, 11981, 519, 4871, 9702, 15964, 269, 1215, 941, 707, 966, 292, 4303, 16873, 593, 11016, 286, 594, 9364, 2648, 547, 1294, 930, 6337, 256, 594, 4682, 593, 513, 1279, 11332, 11878, 630, 2641, 14790, 14386, 543, 1185, 513, 17681, 29851, 304, 538, 519, 4677, 563, 14188, 596, 547, 3025, 945, 814, 2366, 803, 513, 4484, 1394, 865, 2484, 269, 594, 723, 6068, 6679, 873, 909, 543, 2542, 782, 827, 1018, 596, 723, 1044, 909, 547, 269, 1403, 596, 10093, 1405, 2366, 803, 513, 16253, 2943, 267, 596, 1869, 666, 256, 7490, 2232, 5022, 547, 803, 267, 20171, 873, 547, 519, 1153, 2232, 563, 2005, 729, 1390, 547, 1294, 865, 1082, 540, 596, 693, 938, 28652, 8400, 593, 13628, 269, 594, 4126, 547, 1294, 596, 1586, 1985, 3018, 269, 594, 786, 6494, 856, 782, 540, 519, 3877, 547, 707, 3237, 683, 13145, 519, 942, 563, 29309, 22823, 814, 5280, 547, 1544, 930, 540, 707, 1753, 1565, 713, 3018, 269, 1703, 568, 6266, 547, 1832, 596, 11112, 2336, 296, 4126, 596, 616, 782, 1869, 2922, 543, 1134, 693, 1753, 609, 707, 3885, 269, 594, 4413, 596, 782, 865, 1454, 267, 855, 594, 993, 14281, 693, 875, 3533, 519, 4374, 3100, 547, 581, 2469, 676, 563, 16605, 1373, 1434, 543, 1265, 8788, 538, 1142, 1554, 2336, 8340, 2630, 513, 7470, 540, 13004, 2238, 543, 2200, 2877, 585 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 31474, 781, 9837, 31474, 1185, 513, 7787, 855, 2912, 20160, 3483, 281, 1100, 6109, 2626, 267, 1175, 2451, 4351, 16559, 24616, 543, 972, 616, 7440, 593, 2436, 31474, 4941, 621, 547, 581, 513, 1483, 4838, 610, 621, 729, 1175, 513, 6071, 1625, 613, 286, 634, 5856, 11099, 31474, 1705, 20053, 621, 547, 581, 513, 1483, 12316, 3350, 955, 268, 3891, 12038, 540, 595, 9573, 1185, 28115, 730, 883, 513, 1007, 15194, 1362, 607, 513, 1483, 2104, 7872, 269, 1261, 849, 7142, 1010, 8284, 3401, 547, 3398, 519, 476, 1626, 2798, 540, 476, 279, 267, 279, 476, 3422, 277, 269, 515, 729, 519, 18678, 6205, 538, 3624, 543, 621, 729, 711, 2352, 585, 1864, 547, 1625, 613, 930, 3401, 971, 607, 20568, 667, 1263, 538, 9549, 563, 14367, 3800, 281, 3689, 267, 8830, 613, 1082, 3609, 6194, 27498, 543, 519, 17594, 540, 1896, 3609, 6741, 322, 4328, 4703, 1369, 9549, 269, 5822, 267, 24135, 519, 13253, 1063, 5481, 543, 5000, 5322, 540, 519, 4414, 2871, 1841, 269, 12059, 267, 946, 519, 4414, 15050, 547, 7519, 17531, 29386, 6296, 543, 8749, 519, 1412, 14585, 4533, 262, 11464, 883, 519, 10754, 269, 1280, 628, 267, 946, 519, 7952, 547, 22738, 519, 2556, 796, 4328, 543, 25640, 3252, 5892, 5340, 676, 519, 9549, 543, 2229, 269, 25004, 267, 2813, 1007, 3906, 971, 607, 519, 11180, 2199, 2950, 547, 20882, 519, 1762, 3556, 619, 945, 616, 10121, 547, 31474, 547, 1491, 1379, 4586, 300, 7776, 8959, 547, 16977, 1010, 3804, 269, 634, 4414, 15050, 23012, 1010, 1852, 543, 3366, 519, 2898, 2197, 547, 14784, 269, 634, 1379, 6560, 5949, 538, 1142, 1377, 540, 519, 15796, 543, 519, 2898, 2197, 14059, 538, 513, 1533, 540, 6406, 2782, 563, 2690, 31474, 267, 519, 10569, 547, 1379, 941, 1702, 543, 2442, 1489, 6508, 689, 519, 1004, 781, 5132, 538, 519, 1898, 22556, 543, 16495, 540, 741, 17710, 912, 3891, 5206, 538, 1412, 4002, 5019, 26167, 2782, 262, 2904, 476, 4350, 279, 281, 763, 7952, 1590, 1831, 835, 609, 519, 1004, 865, 602, 789, 1294, 621, 607, 741, 1378, 7952, 269, 6270, 606, 7952, 786, 581, 1045, 4532, 1043, 563, 1103, 1412, 4002, 29663, 6554, 262, 4989, 476, 3707, 276, 267, 515, 11130, 602, 1169, 635, 8565, 1590, 581, 5280, 547, 1174, 602, 607, 1279, 607, 649, 7048, 593, 519, 1004, 267, 3494, 16119, 538, 519, 538, 1410, 9151, 1043, 3860, 1379, 540, 519, 13999, 543, 8754, 3972, 543, 2697, 6000, 609, 873, 267, 649, 666, 1147, 25236, 1022, 7411, 267, 543, 1100, 10546, 666, 24807, 721, 1247, 649, 666, 24807, 1022, 10546, 563, 300, 7776, 607, 513, 17199, 2433, 300, 7776, 570, 572, 2389, 2426, 729, 519, 1101, 1851, 519, 1390, 31767, 3401, 547, 1020, 513, 3102, 543, 2347, 31767, 4108, 1899, 543, 1062, 540, 2219, 593, 4108, 12602, 269, 31474, 3366, 519, 4457, 19797, 9549, 267, 519, 4457, 1004, 543, 519, 11439, 4229, 896, 519, 19797, 9549, 781, 5718, 538, 519, 1114, 2112, 21971, 476, 955, 268, 28785, 560, 519, 2112, 331, 3581, 267, 1996, 519, 5114, 776, 12512, 540, 15616, 836, 918, 2967, 1606, 515, 330, 267, 1287, 538, 519, 8087, 4395, 1996, 3567, 538, 519, 4550, 11219, 17702, 2112, 267, 543, 693, 2063, 538, 519, 2112, 540, 19802, 1996, 15616, 836, 918, 2967, 1606, 515, 330, 2073, 6518, 8507, 538, 519, 19802, 540, 3624, 538, 476, 3707, 280, 563, 14367, 1646, 540, 14100, 1143, 6441, 523, 24452, 609, 2543, 547, 13137, 729, 5702, 5532, 609, 519, 1915, 540, 519, 4457, 4838, 15301, 13510, 752, 1014, 3192, 280, 15545, 303, 6078, 994, 2005, 729, 593, 519, 4493, 602, 7157, 5659, 519, 1915, 540, 4457, 2486, 540, 519, 4457, 4838, 538, 2489, 602, 31474, 2919, 519, 4640, 540, 9591, 519, 3490, 2127, 267, 530, 1645, 1486, 26167, 2112, 547, 3295, 519, 4872, 689, 519, 24781, 543, 6368, 7001, 519, 4872, 543, 3094, 18487, 2797, 1379, 267, 519, 2953, 4155, 593, 799, 31474, 3366, 519, 4457, 13999, 538, 530, 1645, 519, 3811, 12316, 6560, 538, 3624, 15301, 13510, 752, 1014, 476, 3192, 280, 281, 303, 6246, 994, 1103, 10496, 13196, 2871, 650, 1069, 1794, 781, 2376, 519, 5856, 14659, 602, 31474, 729, 28093, 4240, 609, 519, 6891, 540, 18326, 693, 513, 1360, 2038, 3942, 1547, 5472, 4457, 1153, 18244, 540, 1010, 2085, 1224, 519, 23620, 540, 519, 8422, 3751, 20819, 610, 4826, 12540, 514, 269, 1261, 729, 7184, 6766, 543, 8179, 538, 519, 891, 2835, 3631, 585, 1010, 32249, 27606, 269, 4438, 519, 8832, 30609, 819, 263, 4572, 277, 268, 4572, 278, 1070, 515, 2808, 519, 21037, 540, 1379, 607, 12492, 762, 5097, 998, 7839, 32066, 909, 5142, 902, 563, 4572, 278, 32586, 2736, 540, 918, 21587, 543, 595, 9573, 269, 634, 595, 9573, 4957, 922, 4683, 543, 2324, 1362, 1915, 547, 1831, 513, 6917, 543, 32066, 9549, 269, 634, 4358, 1448, 540, 31474, 781, 4108, 1995, 568, 519, 4201, 4379, 28610, 772, 19828, 538, 5181, 476, 4572, 278, 20193, 8959, 1317, 621, 568, 21354, 5423, 543, 6896, 3973, 31474, 556, 553, 5145, 1194, 519, 6967, 19625, 540, 1202, 4026, 757, 693, 519, 3723, 540, 519, 932, 532, 330, 836, 3333, 534, 269, 1261, 1185, 1152, 513, 1906, 4627, 14605, 11439, 2367, 855, 1287, 519, 932, 532, 330, 836, 3333, 534, 1831, 519, 3854, 602, 646, 729, 547, 1628, 519, 4108, 19539, 540, 1010, 9549, 563, 4572, 279, 32586, 1079, 5931, 834, 3963, 568, 621, 602, 4414, 11572, 5295, 2052, 1401, 626, 538, 3624, 8119, 263, 276, 5239, 267, 4572, 279, 264, 543, 834, 1805, 745, 24327, 538, 519, 932, 532, 330, 836, 15142, 257, 7152, 519, 7415, 6708, 547, 799, 31474, 1185, 2907, 9787, 539, 543, 15849, 23624, 519, 1898 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3165, 2344, 1040, 634, 8265, 729, 513, 1747, 585, 2695, 520, 1562, 538, 519, 476, 2735, 271, 338, 543, 729, 1134, 1634, 676, 519, 2923, 950, 972, 941, 834, 321, 25114, 257, 1063, 519, 32534, 3350, 543, 519, 7128, 269, 2368, 2695, 1846, 1869, 2291, 972, 267, 1498, 519, 834, 3199, 338, 5336, 2814, 257, 568, 4666, 269, 1411, 666, 979, 547, 519, 15722, 802, 8663, 834, 517, 30448, 17333, 1729, 257, 610, 3548, 693, 519, 834, 309, 334, 298, 6686, 257, 9497, 14157, 343, 330, 6686, 3832, 257, 910, 513, 1895, 5986, 2680, 267, 693, 799, 519, 7594, 568, 6039, 1863, 540, 5279, 610, 693, 1942, 1916, 268, 476, 1626, 19468, 956, 268, 5522, 28739, 630, 6826, 520, 956, 12384, 264, 630, 520, 519, 7944, 540, 1234, 4177, 321, 23167, 543, 717, 4592, 572, 6154, 328, 15241, 1040, 1703, 568, 513, 17001, 22632, 532, 519, 19468, 956, 269, 4746, 538, 519, 1234, 4177, 321, 23167, 1858, 616, 15731, 1141, 519, 19468, 956, 5129, 693, 1585, 2053, 689, 476, 3422, 271, 547, 476, 3422, 273, 267, 1519, 519, 1473, 571, 8630, 543, 10060, 11833, 563, 268, 476, 1704, 717, 4592, 572, 6154, 328, 15241, 630, 15124, 15213, 1040, 769, 519, 31355, 8265, 972, 616, 513, 2603, 540, 13063, 543, 15731, 910, 513, 1390, 1747, 547, 979, 538, 519, 10543, 267, 4352, 621, 781, 1360, 22125, 543, 621, 949, 1205, 513, 3787, 5906, 538, 519, 15964, 269, 2201, 3018, 17058, 267, 621, 568, 20027, 1934, 910, 513, 1970, 1532, 644, 1326, 9133, 568, 267, 476, 4200, 2578, 4446, 267, 799, 3091, 2731, 1082, 10425, 585, 10416, 24843, 272, 269, 2201, 519, 15964, 267, 596, 786, 723, 547, 2628, 606, 13675, 13927, 540, 24843, 272, 855, 621, 781, 1869, 519, 1655, 1747, 547, 979, 6704, 593, 513, 6578, 269, 634, 8265, 729, 3957, 538, 476, 14065, 271, 1310, 519, 1249, 602, 4032, 29527, 540, 5576, 320, 3518, 4026, 543, 4591, 7322, 6261, 514, 928, 6199, 1185, 11292, 3909, 5191, 547, 1875, 6441, 9801, 753, 971, 607, 631, 3317, 517, 2572, 543, 4936, 23597, 547, 2259, 741, 5132, 1934, 543, 5010, 5191, 585, 1688, 28755, 1123, 338, 711, 19801, 538, 519, 3116, 8903, 1368, 843, 338, 269, 4653, 621, 568, 851, 540, 519, 2699, 1769, 8664, 563, 268, 476, 1240, 17713, 25575, 1499, 268, 5522, 28739, 269, 9737, 1234, 4177, 321, 23167, 543, 29464, 14259, 29967, 324, 269, 1703, 781, 513, 18189, 585, 606, 17076, 945, 729, 10229, 519, 918, 773, 345, 630, 305, 2465, 704, 321, 23167, 1040, 10507, 29347, 958, 519, 7260, 23108, 29967, 324, 6154, 328, 15241, 6613, 1067, 476, 278, 5280, 1818, 519, 918, 773, 345, 4583, 563, 268, 476, 866, 29464, 14259, 29967, 324, 269, 634, 12473, 10938, 540, 519, 2699, 2000, 697, 8664, 267, 713, 2110, 8265, 8255, 6252, 547, 1234, 4177, 321, 23167, 568, 6806, 1055, 676, 19235, 689, 1312, 7475, 269, 20661, 1152, 543, 10344, 568, 14553, 17049, 563, 268, 476, 736, 1975, 1408, 321, 644, 523, 680, 28739, 269, 634, 1747, 3893, 922, 2012, 689, 519, 7038, 619, 8380, 909, 2982, 1934, 585, 25501, 689, 782, 936, 519, 1158, 1394, 538, 519, 1554, 269, 1280, 1383, 6004, 269, 670, 10402, 3724, 630, 15367, 8118, 519, 23291, 6288, 538, 519, 2749, 264, 7604, 1078, 1010, 4262, 21495, 1934, 269, 4653, 621, 568, 11303, 676, 1896, 28503, 1519, 853, 269, 6754, 328, 14364, 267, 5576, 28704, 781, 570, 643, 10008, 2073, 5576, 28704, 781, 26308, 543, 14956, 699, 339, 1084, 27346, 563, 1607, 29117, 568, 1063, 590, 1678, 339, 6754, 328, 267, 661, 15501, 321, 6686, 1777, 601, 267, 543, 1325, 2023, 320, 269, 5192, 856, 590, 3179, 2559, 2763, 6728, 543, 3802, 1524, 590, 2559, 7999, 14259, 29967, 324, 5045, 1189, 547, 3914, 519, 12667, 8998, 540, 590, 2559, 7999, 12858, 1068, 601, 269, 4841, 543, 11082, 689, 782, 1472, 519, 1158, 543, 1762, 1525, 1161, 2285, 713, 10116, 513, 2189, 543, 4683, 1166, 1515, 269, 590, 2559, 7999, 12858, 1068, 601, 814, 1831, 1360, 2442, 1851, 1256, 14547, 1004, 269, 901, 3366, 547, 8375, 2713, 3790, 593, 519, 835, 1688, 543, 513, 3099, 540, 27610, 536, 719, 2294, 593, 519, 824, 269, 634, 5576, 592, 614, 4565, 3430, 8265, 609, 519, 681, 1774, 7579, 320, 2679, 543, 922, 7523, 648, 540, 13063, 543, 14060, 4564, 519, 8998, 540, 590, 2559, 7999, 12858, 1068, 601, 563, 268, 476, 2641, 681, 1774, 7579, 320, 269, 901, 2679, 1031, 547, 581, 519, 2063, 2695, 520, 1540, 2777, 538, 31297, 267, 621, 781, 1631, 2451, 547, 519, 2695, 520, 1562, 585, 1863, 676, 519, 8227, 269, 4438, 519, 3018, 267, 621, 568, 5828, 883, 513, 22538, 2946, 267, 30145, 540, 1585, 6163, 610, 824, 2621, 949, 849, 1491, 1747, 269, 2201, 930, 2395, 972, 568, 10464, 630, 2865, 569, 17154, 264, 1426, 2139, 269, 1411, 666, 3006, 1265, 9735, 6105, 585, 1507, 5777, 593, 11016, 543, 14349, 563, 763, 10127, 22223, 523, 12858, 1068, 601, 630, 10193, 1634, 607, 10127, 990, 328, 1068, 601, 264, 666, 581, 3379, 547, 519, 590, 2559, 7999, 12858, 1068, 601, 267, 543, 568, 16922, 540, 513, 3099, 540, 476, 866, 628, 268, 543, 476, 736, 628, 10601, 512, 2940, 906, 267, 799, 1419, 4183, 5007, 4401, 2914, 3754, 3595, 24383, 543, 7990, 995, 2199, 8637, 267, 4758, 519, 1858, 513, 10169, 1977, 642, 32079, 269, 16511, 1023, 945, 12797, 519, 1858, 3409, 602, 519, 590, 2559, 7999, 12858, 1068, 601, 2968, 1932, 2442, 910, 543, 3976, 22125, 910, 855, 519, 10127, 990, 328, 1068, 601, 568, 2484, 689, 9602, 269, 634, 1292, 18845, 616, 2189, 813, 28328, 15945, 267, 930, 540, 799, 616, 2034, 1688, 269, 1677, 1205, 972, 1491, 519, 22671, 309, 547, 2901, 674, 15505, 14259, 29967, 324, 630, 3891, 559, 580, 3188, 626, 26709, 264, 610, 12379, 572, 327, 718, 523, 1016, 3118, 6728, 563, 763, 5449, 8498, 12228, 27255, 267, 536, 23912, 676, 519, 5211, 4432, 2041, 538, 519, 5045, 543, 519, 1325, 2023, 320, 13749, 538, 519, 7532, 267, 568, 711, 7429, 590, 2559, 7999, 12858, 1068, 601, 267, 513, 1360, 12048, 1747, 547, 2661, 269, 769, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 12228, 27255, 729, 5631, 20651, 676, 5695, 802, 267, 2324, 11665, 1004, 267, 543, 2797, 15628, 269, 27009, 267, 621, 568, 835, 540, 519, 1034, 7199, 29117, 338, 269, 4706, 3510, 543, 519, 6189, 1577, 1082, 11317, 1256, 2221, 3717, 540, 12228, 27255, 607, 513, 8498, 269, 634, 28529, 20891, 267, 606, 4244, 13447, 10689, 267, 568, 13883, 693, 4446, 1676, 14259, 29967, 324, 269, 8307, 513, 1906, 7161, 2476, 6013, 14858, 1047, 327, 718, 523, 267, 513, 12051, 2679, 602, 568, 1631, 1753, 547, 513, 7260, 16222, 267, 513, 19922, 267, 513, 13962, 267, 543, 513, 2835, 7749, 563, 302, 1777, 27660, 670, 879, 696, 14259, 29967, 324, 543, 645, 15786, 325, 601, 1457, 18135, 29967, 324, 267, 15385, 693, 519, 1975, 761, 7999, 680, 28739, 267, 2709, 513, 5458, 3099, 540, 1507, 15945, 543, 536, 626, 4592, 563, 268, 476, 2420, 10271, 330, 1844, 515, 269, 25724, 5939, 538, 12228, 27255, 563, 268, 476, 2537, 14858, 1047, 8065, 523, 267, 17054, 839, 4150, 324, 476, 278, 268, 280, 269, 634, 31508, 941, 3710, 538, 476, 6977, 278, 585, 519, 14858, 1047, 2754, 5663, 6928, 2694, 269, 634, 2754, 4682, 11861, 538, 476, 3192, 280, 267, 543, 19951, 519, 2686, 6561, 2679, 568, 1031, 607, 513, 2686, 4099, 609, 513, 7260, 14364, 563, 7922, 1678, 523, 3150, 729, 513, 10068, 8498, 593, 519, 4432, 2041, 547, 519, 22236, 540, 31297, 269, 898, 6013, 538, 513, 14860, 1063, 1079, 540, 519, 1152, 31393, 538, 519, 1858, 602, 8255, 2786, 1524, 547, 519, 5757, 269, 901, 909, 18566, 1016, 7875, 540, 31297, 814, 811, 2929, 320, 2231, 982, 1022, 824, 4436, 2749, 269, 2201, 13566, 32300, 267, 519, 1747, 786, 581, 2407, 540, 31297, 619, 972, 547, 2972, 519, 6263, 17822, 267, 519, 23090, 10754, 267, 543, 519, 23406, 8075, 269, 2349, 1678, 523, 3150, 568, 1851, 519, 1034, 28677, 2694, 540, 31297, 563, 2414, 1205, 972, 267, 1491, 519, 590, 272, 547, 11205, 601, 610, 519, 590, 1556, 547, 2349, 1678, 523, 3150, 269, 634, 5721, 6728, 6013, 693, 519, 1283, 540, 519, 14860, 267, 593, 15840, 333, 327, 1993, 14259, 29967, 324, 269, 3619, 2786, 2066, 15840, 333, 327, 1993, 14259, 29967, 324, 543, 707, 786, 1265, 519, 8492, 267, 606, 7969, 15074, 831, 807, 543, 22538, 2946, 267, 519, 2344, 4009, 630, 5658, 1115, 1930, 2038, 543, 2673, 693, 476, 1724, 281, 876, 593, 654, 267, 674, 267, 543, 15223, 1070, 519, 536, 6033, 625, 267, 17365, 4558, 267, 543, 2022, 5604, 563, 268, 476, 2190, 7233, 523, 796, 2349, 1580, 630, 308, 272, 5153, 327, 753, 680, 28739, 543, 590, 2641, 1341, 590, 4029, 667, 2459, 30004, 1040, 11545, 1930, 2394, 476, 2537, 281, 876, 267, 538, 4989, 2394, 476, 2420, 281, 876, 269, 5682, 17346, 616, 1930, 1282, 519, 4832, 4005, 630, 11321, 268, 12914, 2567, 631, 6363, 476, 6021, 281, 876, 268, 1626, 281, 3393, 267, 15223, 2672, 543, 14812, 476, 1015, 281, 876, 268, 1704, 281, 3393, 267, 5162, 4005, 630, 22261, 6363, 20623, 264, 631, 6363, 476, 6021, 281, 876, 268, 1428, 281, 3393, 267, 15223, 2672, 267, 14812, 476, 1015, 281, 876, 268, 1428, 281, 3393, 269, 901, 6288, 568, 13148, 593, 519, 2025, 2749, 3774, 540, 31297, 269, 1325, 2819, 538, 519, 476, 4350, 271, 338, 519, 5449, 18186, 1670, 6288, 729, 28889, 601, 539, 883, 513, 6177, 543, 9913, 335, 1046, 585, 519, 13722, 4436, 12567, 1401, 22128, 630, 301, 1221, 518, 1372, 583, 22385, 717, 691, 839, 577, 879, 1040, 2991, 2072, 621, 729, 32206, 585, 1614, 3486, 4677, 2982, 538, 476, 4198, 274, 267, 476, 3422, 274, 543, 476, 3192, 274, 269, 634, 27386, 4677, 729, 5828, 883, 513, 6288, 5251, 267, 543, 729, 6410, 547, 21890, 514, 4469, 2714, 31990, 538, 1325, 2023, 320, 538, 476, 3192, 280, 269, 634, 9341, 3039, 17346, 3710, 538, 476, 3422, 273, 270, 8287, 616, 1869, 972, 269, 6902, 1103, 519, 4832, 3275, 972, 616, 3232, 2982, 585, 3214, 609, 804, 12495, 267, 4012, 5974, 543, 2235, 639, 5159, 607, 1134, 607, 14364, 269, 769, 519, 2575, 533, 822, 11669, 972, 616, 30145, 1169, 10543, 563, 268, 5545, 4677, 630, 2735, 279, 264, 609, 7401, 2777, 454, 268, 14986, 4677, 630, 1960, 274, 994, 268, 23427, 3039, 17346, 910, 1863, 7127, 454, 268, 634, 10720, 540, 519, 6288, 454, 268, 634, 7401, 2777, 454, 268, 476, 1839, 23514, 27688, 6288, 630, 291, 1144, 519, 5757, 4432, 2041, 2673, 547, 1855, 18860, 1564, 1962, 6686, 1188, 1040, 634, 9510, 3338, 5115, 539, 6288, 538, 31297, 269, 5565, 15882, 267, 23514, 27688, 5600, 543, 21321, 560, 4446, 331, 778, 5600, 267, 616, 538, 519, 6288, 269, 4469, 2714, 31990, 5211, 8928, 998, 519, 6288, 543, 883, 519, 4432, 2041, 693, 1855, 18860, 1564, 1962, 6686, 1188, 563, 268, 476, 2918, 13391, 2720, 5244, 269, 715, 823, 6288, 609, 5784, 547, 519, 4432, 2041, 5757, 563, 268, 476, 2767, 700, 758, 328, 5576, 28704, 717, 6914, 630, 289, 582, 534, 29531, 717, 6914, 3541, 10713, 28059, 31297, 1070, 7937, 333, 1817, 560, 14259, 29967, 324, 630, 306, 5174, 23167, 590, 272, 6728, 21890, 514, 4469, 2714, 31990, 267, 21772, 476, 2641, 543, 476, 12893, 1040, 11545, 1930, 689, 476, 6021, 281, 876, 547, 827, 476, 272, 5662, 1354, 23863, 269, 1280, 513, 2540, 543, 513, 3368, 267, 519, 27386, 4677, 729, 13883, 538, 519, 1699, 7233, 523, 796, 2349, 1580, 6288, 267, 1141, 519, 9341, 3039, 17346, 1869, 2611, 269, 769, 476, 3192, 280, 267, 519, 27386, 4677, 729, 882, 11343, 547, 922, 1699, 1747, 538, 519, 21890, 514, 4469, 2714, 31990, 8664, 269, 769, 519, 7013, 851, 540, 519, 6288, 972, 616, 1896, 873, 539, 10651, 609, 2564, 2371, 267, 3484, 2371, 267, 2371, 12286, 538, 519, 6426, 267, 598, 28875, 267, 9808, 3913, 656, 2371, 267, 20715, 2371, 267, 12219, 2371, 267, 7031, 267, 24712, 543, 513, 9390, 4677, 269, 634, 3844, 851, 568, 6131, 547, 519, 2257, 11008, 1944, 2371, 269, 1703, 596, 666, 1294, 2371, 689, 22465, 2694, 540, 519, 1158, 282, 20195, 14901, 267, 3345, 3013, 543, 2484, 7013, 3162, 3013, 269, 769, 519, 1325, 11017, 1756, 972, 616, 2371, 689, 519, 1164, 7823, 2127, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 630, 10628, 540, 476, 273, 281, 6860, 1295, 270, 1911, 332, 1916, 1432, 568, 519, 1655, 1259, 547, 5721, 585, 513, 2468, 987, 23127, 888, 2252, 596, 2461, 711, 2907, 2469, 547, 519, 15547, 513, 1906, 2395, 513, 3018, 267, 1376, 707, 2866, 609, 2185, 4374, 540, 3257, 930, 1826, 540, 9025, 3635, 1079, 547, 1614, 2053, 513, 3018, 267, 1175, 547, 1628, 707, 3490, 269, 968, 2026, 513, 19444, 2468, 987, 8541, 6238, 741, 2866, 267, 594, 2303, 3257, 1079, 7669, 338, 267, 1079, 21891, 543, 1079, 8255, 829, 3018, 2223, 3081, 15516, 269, 0, 29878, 1076, 267, 799, 3274, 3893, 1934, 1586, 593, 11060, 1310, 1373, 1524, 585, 513, 3923, 267, 814, 9676, 713, 4190, 8523, 540, 513, 14925, 602, 6818, 513, 31417, 476, 1015, 5479, 1769, 26188, 2476, 269, 634, 16263, 666, 1294, 543, 1445, 713, 5458, 3845, 676, 16107, 519, 2702, 540, 8904, 563, 1607, 8523, 540, 19182, 294, 5336, 25320, 279, 267, 1018, 8331, 6257, 607, 513, 968, 16435, 3784, 532, 2462, 892, 799, 814, 2196, 856, 540, 519, 17405, 602, 779, 2838, 547, 1826, 1007, 6801, 267, 568, 29600, 676, 513, 1159, 30568, 540, 2938, 15270, 543, 6801, 602, 9095, 538, 513, 5180, 3732, 269, 634, 26931, 5600, 23571, 779, 12588, 547, 1294, 519, 5458, 9883, 666, 581, 519, 2601, 585, 713, 10058, 7298, 1764, 281, 14965, 7828, 532, 563, 28606, 17067, 713, 29757, 267, 8331, 11613, 3989, 875, 14965, 7828, 532, 1568, 538, 606, 538, 3178, 3381, 267, 2705, 538, 5618, 14965, 7828, 532, 4523, 950, 9543, 689, 513, 11397, 14925, 568, 5705, 569, 25302, 676, 519, 14965, 7485, 540, 606, 18060, 532, 24666, 1843, 269, 32322, 1253, 2176, 1858, 538, 971, 513, 1935, 602, 621, 2306, 606, 968, 641, 6776, 892, 602, 9055, 9543, 538, 519, 4287, 540, 26931, 543, 3091, 621, 519, 8112, 547, 1294, 15270, 799, 666, 581, 2356, 1932, 11397, 547, 581, 6594, 609, 1459, 6791, 543, 15629, 24985, 269, 8331, 6257, 621, 607, 28330, 547, 3843, 676, 1259, 540, 606, 11999, 3172, 4328, 4837, 563, 2108, 22349, 1258, 12002, 666, 946, 14965, 7828, 532, 607, 513, 6986, 3172, 4328, 4837, 267, 28498, 873, 547, 4983, 3615, 899, 11397, 26862, 15270, 799, 1522, 1419, 581, 1932, 13542, 727, 585, 1256, 26931, 547, 8207, 2223, 8331, 6941, 563, 22498, 6941, 602, 713, 8763, 4605, 729, 1500, 9001, 7422, 689, 5216, 4625, 1114, 18342, 12086, 11200, 2429, 1079, 540, 26931, 779, 3063, 9120, 24666, 3457, 281, 519, 32493, 7913, 8254, 585, 24028, 903, 543, 519, 6987, 2400, 2598, 23002, 7913, 8254, 476, 274, 269, 1452, 1079, 3457, 1185, 1044, 2322, 538, 676, 23390, 2429, 26931, 779, 3803, 1079, 1425, 6005, 13485, 281, 4419, 6005, 17030, 476, 274, 289, 799, 7018, 689, 4728, 476, 272, 676, 1259, 540, 4728, 476, 1321, 540, 476, 1220, 273, 543, 4419, 6005, 17030, 476, 275, 267, 799, 7018, 1063, 16393, 476, 1556, 543, 16393, 476, 2190, 476, 1220, 280, 563, 2108, 9961, 15382, 275, 267, 1079, 1007, 3621, 3457, 1185, 1044, 2322, 538, 2443, 519, 15328, 6193, 17959, 15190, 5766, 1429, 630, 26714, 264, 543, 6987, 2400, 2598, 23002, 7913, 8254, 476, 274, 630, 310, 15598, 274, 1070, 892, 8331, 6941, 563, 763, 32493, 7913, 8254, 585, 24028, 903, 729, 2322, 538, 593, 4419, 6005, 17030, 476, 274, 289, 267, 2705, 729, 2219, 540, 513, 968, 325, 9229, 6293, 1848, 901, 729, 30465, 2429, 4419, 6005, 17030, 476, 275, 563, 2108, 10521, 8959, 3457, 267, 519, 5600, 23571, 24919, 15190, 5766, 1429, 630, 306, 2316, 306, 264, 543, 519, 32493, 7913, 8254, 585, 24028, 903, 630, 3722, 306, 1070, 1185, 1044, 2847, 1882, 676, 519, 1101, 268, 1197, 593, 11399, 4226, 18203, 2223, 8331, 5170, 269, 968, 4415, 891, 3646, 267, 26931, 729, 9447, 547, 519, 30085, 540, 922, 3621, 7207, 3034, 29878, 1076, 1185, 1044, 2324, 7683, 585, 476, 4029, 1296, 4505, 982, 513, 1966, 538, 4873, 540, 476, 1708, 272, 3592, 5189, 519, 9682, 26725, 585, 26099, 1524, 269, 2991, 513, 3923, 540, 4074, 267, 8331, 729, 538, 513, 2990, 547, 8207, 519, 1966, 543, 2226, 519, 19416, 16263, 10512, 267, 543, 538, 513, 2990, 547, 8399, 547, 28958, 513, 1906, 540, 519, 1034, 18198, 2592, 540, 519, 7122, 1004, 723, 2479, 2938, 563, 303, 27348, 5491, 281, 30673, 26260, 889, 1076, 1299, 8331, 267, 589, 269, 1715, 2006, 267, 631, 269, 13019, 327, 3333, 1731, 267, 21411, 269, 18724, 6033, 0, 24154, 7588, 779, 10073, 540, 513, 16313, 673, 1106, 540, 2229, 1310, 14412, 5795, 602, 2197, 513, 10058, 2797, 3961, 538, 13524, 10601, 5824, 3013, 543, 5170, 547, 20441, 938, 1702, 540, 519, 10504, 269, 7316, 13524, 10601, 19384, 1686, 568, 2938, 547, 11651, 613, 689, 519, 968, 6312, 1181, 892, 540, 519, 5053, 1977, 1065, 28362, 923, 267, 519, 13338, 21257, 568, 3622, 4371, 3743, 585, 519, 3017, 269, 22353, 267, 519, 14082, 12733, 779, 5821, 547, 23650, 883, 922, 5057, 6237, 2694, 568, 6045, 676, 519, 16313, 779, 11307, 30093, 543, 796, 4328, 4527, 282, 543, 8478, 779, 15151, 3152, 2797, 6617, 896, 519, 10504, 568, 3144, 607, 513, 8086, 540, 519, 7915, 6617, 540, 513, 22420, 10324, 269, 272, 8616, 713, 1757, 894, 1045, 6327, 540, 519, 16313, 568, 711, 606, 7850, 7778, 538, 2901, 2013, 543, 949, 1256, 2179, 547, 581, 21794, 519, 2243, 269, 15742, 569, 621, 568, 15458, 602, 519, 17169, 729, 13948, 3743, 585, 838, 2130, 8478, 513, 8954, 633, 543, 26481, 6560, 1996, 519, 3993, 2197, 267, 543, 621, 568, 11338, 2352, 547, 1397, 602, 519, 16313, 729, 3226, 15747, 538, 796, 4328, 543, 10128, 519, 2797, 1062, 602, 7153, 269, 8478, 729, 1641, 547, 4049, 6237, 13253, 267, 2797, 16132, 267, 543, 1256, 909, 5142, 902, 2394, 519, 476, 7277, 271, 338, 282, 543, 267, 693, 2547, 1282, 519, 12081, 540, 31883, 594, 630, 9264, 273, 268, 8146, 272, 1070, 519, 17169, 4667, 547, 723, 1044, 811, 606, 8886, 656, 982, 513, 31390, 4328, 3310, 269, 7439, 1705, 519, 1569, 542, 540, 1010, 5067, 267, 31883, 4083, 267, 538, 476, 7277, 271, 11963, 606, 7525, 1439, 547, 2797, 19727, 563, 1805, 699, 8040, 970, 1905, 565, 730, 689, 938, 1702, 540, 519, 3029, 540, 5824, 1977, 6608, 2736, 1524, 538, 713, 1259, 1317, 649, 917, 1360, 2370, 540, 741, 6219, 269, 1548, 941, 519, 4052, 6127, 540, 13524, 10601, 2797, 1949, 286, 1215, 3811, 941, 891, 6127, 538, 10128, 2797, 1106, 543, 1514, 4641, 693, 519, 2199, 1377, 1141, 519, 8783, 10324, 729, 267, 693, 1655, 267, 513, 6552, 4137, 286, 634, 3063, 27984, 24810, 610, 10859, 27322, 531, 3889, 540, 6608, 616, 1419, 21372, 267, 855, 606, 1620, 540, 873, 568, 4909, 547, 606, 1620, 540, 519, 7239, 543, 4013, 1135, 885, 789, 4196, 269, 769, 519, 1808, 2013, 540, 8478, 267, 585, 3236, 267, 621, 1631, 5526, 602, 519, 1797, 540, 2797, 5610, 543, 32278, 616, 547, 581, 1336, 1447, 538, 519, 18678, 1268, 540, 519, 16313, 982, 538, 519, 5294, 24191, 32725, 540, 11440, 10350, 543, 519, 2199, 32687, 7207, 540, 11440, 5238, 269, 273, 454, 1607, 1353, 786, 4983, 519, 3252, 543, 10986, 540, 835, 971, 9872, 9789, 3318, 4012, 626, 6483, 269, 1635, 22392, 741, 2797, 543, 1514, 10305, 267, 8478, 779, 4876, 16488, 941, 15747, 538, 11028, 4290, 532, 519, 3844, 6392, 540, 519, 16313, 543, 1010, 26110, 609, 519, 2199, 1379, 540, 519, 16559, 267, 26945, 31794, 945, 941, 519, 10504, 779, 2797, 5127, 13702, 269, 1306, 17531, 13062, 1846, 4171, 7060, 941, 9247, 12045, 267, 519, 16488, 941, 2111, 547, 2226, 513, 2539, 9043, 982, 2901, 519, 17169, 610, 519, 6917, 20148, 525, 269, 16024, 2103, 723, 15763, 873, 3592, 7357, 269, 8616, 741, 2797, 30549, 720, 729, 865, 2629, 543, 741, 9746, 3310, 865, 24245, 602, 1022, 3978, 4901, 540, 11440, 6214, 543, 2486, 1590, 1491, 873, 883, 2272, 563, 300, 698, 3563, 658, 3310, 729, 1100, 3209, 1399, 538, 4830, 8478, 267, 585, 519, 14082, 3318, 4140, 26547, 1185, 5129, 606, 1271, 1909, 2429, 519, 7810, 1974, 269, 26573, 5576, 23702, 345, 779, 1353, 540, 519, 4400, 7040, 540, 15840, 807, 814, 3638, 569, 13006, 519, 3310, 540, 519, 5207, 1377, 540, 13862, 4012, 626, 6233, 267, 11021, 513, 4806, 602, 4667, 547, 3180, 585, 14758, 16488, 607, 1134, 269, 634, 7810, 964, 10603, 1173, 611, 2803, 267, 693, 519, 1482, 942, 602, 789, 5645, 856, 741, 6101, 11889, 11645, 267, 2968, 679, 6996, 1117, 538, 519, 25029, 540, 19384, 2486, 998, 2123, 13218, 602, 10917, 1229, 741, 4013, 3664, 543, 1500, 519, 5480, 513, 2186, 540, 17280, 1063, 13862, 543, 12733, 269, 274, 2311, 513, 2539, 1377, 513, 2147, 1909, 729, 5129, 676, 519, 16488, 540, 8478, 779, 17071, 10470, 267, 519, 522, 12320, 573, 2803, 543, 5104, 3278, 632, 585, 320, 540, 519, 7810, 1974, 282, 593, 519, 835, 1688, 789, 941, 519, 29039, 13222, 540, 10424, 16285, 538, 519, 5318, 12733, 267, 1247, 593, 519, 824, 789, 15527, 4827, 4601, 547, 2199, 2115, 269, 275, 454, 1103, 4830, 8478, 519, 2757, 2078, 1063, 4622, 543, 4012, 626, 3433, 729, 538, 851, 3743, 585, 519, 11173, 3310, 540, 519, 4012, 626, 6483, 269, 1809, 519, 1360, 3239, 540, 519, 14082, 4140, 26547, 607, 1688, 2173, 4660, 523, 547, 519, 22477, 15286, 602, 1909, 689, 2469, 17946, 718, 1263, 539, 1310, 476, 9264, 273, 269, 7111, 5114, 1996, 519, 7810, 1062, 729, 23366, 642, 5034, 538, 2178, 11685, 547, 519, 16488, 945, 1185, 13455, 621, 269, 19384, 13915, 16091, 519, 1714, 22451, 540, 519, 14082, 4012, 626, 6483, 267, 519, 9746, 6891, 543, 2879, 984, 321, 1143, 540, 10424, 16488, 267, 543, 519, 16916, 7793, 1664, 540, 519, 1455, 2069, 693, 3213, 574, 3630, 12462, 1492, 3504, 12051, 26158, 276, 29576, 540, 16324, 13313, 729, 606, 1799, 655, 3645, 2245, 538, 519, 14082, 1158, 267, 543, 9583, 3025, 538, 8478, 1185, 513, 5172, 9661, 540, 16324, 9006, 1275, 547, 9305, 269, 2290, 11356, 4857, 536, 11171, 23824, 676, 16488, 607, 519, 968, 4186, 698, 542, 602, 814, 1044, 519, 6574, 1085, 28123, 540, 8478, 779, 16899, 2223, 277, 543, 1256, 4914, 24319, 8815, 602, 8478, 779, 3656, 1062, 1964, 539, 538, 3946, 1419, 18084, 609, 8988, 269, 278, 454, 763, 3196, 540, 713, 5114, 729, 971, 602, 4566, 543, 9086, 585, 3540, 15024, 1310, 14412, 10704, 7361, 1472, 6963, 540, 519, 16324, 1062, 269, 769, 1249, 267, 519, 6469, 19367, 540, 19384, 12666, 1143, 941, 9859, 5097, 693, 1863, 532, 519, 4182, 779, 3656, 1062, 689, 519, 26692, 540, 519, 15110, 14082, 4012, 626, 6483, 269, 27565, 17634, 609, 3209, 2035, 540, 2442, 16285, 267, 2199, 1143, 267, 543, 9111, 941, 5645, 856, 5631, 538, 519, 1858, 540, 16324, 6963, 563, 763, 1296, 540, 12666, 2797, 17282, 630, 9264, 278, 268, 8146, 278, 264, 4061, 14754, 513, 5176, 2347, 936, 3873, 592, 540, 519, 7810, 16324, 1062, 269, 2920, 532, 593, 20748, 22402, 543, 838, 13899, 676, 519, 4250, 540, 17105, 2612, 565, 583, 1143, 267, 8478, 779, 12666, 6963, 619, 8179, 547, 15139, 1125, 267, 24339, 520, 1125, 267, 543, 1629, 2814, 1518, 519, 16324, 7936, 540, 7245, 269, 4256, 2101, 13144, 547, 713, 1439, 941, 1079, 281, 519, 11221, 267, 25110, 7400, 5126, 540, 519, 4708, 630, 9857, 714, 632, 533, 1794, 264, 543, 519, 21139, 1062, 585, 7803, 18659, 269, 279, 5637, 5238, 941, 2966, 547, 26924, 16324, 968, 785, 11163, 892, 676, 10962, 2482, 3310, 883, 519, 3656, 1184, 267, 543, 789, 941, 3976, 513, 7229, 3463, 543, 29405, 547, 519, 3318, 4012, 626, 6483, 602, 789, 13148, 5486, 5896, 269, 634, 3318, 16488, 1427, 531, 7007, 676, 17527, 543, 26453, 582, 1645, 519, 1007, 5238, 607, 1655, 789, 1223, 269, 280, 1656, 519, 3844, 2229, 267, 538, 2490, 267, 3533, 2968, 771, 650, 4288, 539, 609, 968, 785, 8817, 892, 5126, 1317, 621, 729, 796, 19055, 762, 269, 1015, 634, 2199, 14984, 919, 945, 1223, 1852, 519, 5238, 11338, 3177, 2370, 1489, 585, 519, 11221, 9794, 543, 519, 21139, 1062, 1317, 2442, 31433, 24705, 1042, 2370, 31449, 267, 795, 3753, 941, 7938, 1752, 344, 547, 3310, 267, 543, 1312, 5238, 15469, 26688, 16132, 269, 5047, 267, 519, 6694, 3172, 919, 3533, 7691, 602, 3665, 2199, 13190, 694, 30099, 741, 2757, 13218, 547, 519, 3844, 7245, 269, 769, 519, 7810, 1974, 13862, 4012, 626, 6233, 1185, 3177, 713, 561, 807, 2581, 3028, 267, 855, 1528, 633 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 264, 543, 3057, 935, 328, 18329, 7010, 630, 300, 2464, 1040, 898, 814, 454, 5952, 267, 8517, 5520, 538, 811, 982, 476, 2412, 2477, 543, 538, 476, 1001, 279, 621, 6913, 19614, 540, 1269, 476, 2420, 5479, 543, 1310, 454, 1080, 6455, 6603, 1269, 476, 2190, 5479, 563, 763, 1895, 814, 513, 19597, 730, 2990, 538, 519, 9042, 540, 8878, 3937, 267, 5907, 2472, 543, 14590, 543, 4987, 2533, 585, 519, 2229, 5823, 269, 4706, 1292, 6990, 616, 7330, 267, 5177, 267, 18142, 17936, 543, 5245, 267, 799, 621, 5713, 609, 513, 3309, 14769, 540, 2472, 543, 2533, 269, 3571, 2178, 1445, 593, 5647, 3366, 1864, 547, 1902, 1269, 476, 272, 269, 276, 5479, 538, 1382, 543, 1646, 563, 14197, 18868, 568, 519, 2754, 6131, 547, 519, 23825, 543, 8878, 6080, 267, 799, 729, 8547, 538, 476, 4198, 273, 538, 519, 2136, 2276, 282, 2221, 621, 922, 22071, 616, 4092, 538, 9098, 269, 4706, 1587, 14769, 9832, 689, 1870, 32062, 547, 8396, 6472, 267, 6046, 20140, 1149, 543, 2792, 1949, 585, 3354, 543, 4027, 269, 769, 3586, 7269, 543, 609, 4203, 29792, 1169, 1032, 267, 519, 1895, 6913, 19614, 540, 1269, 476, 3607, 269, 273, 5479, 538, 476, 1001, 279, 676, 922, 3592, 476, 3374, 267, 1822, 5520, 563, 2005, 814, 2947, 1870, 4559, 281, 23825, 267, 8396, 1949, 267, 1344, 2029, 267, 5692, 1949, 543, 7286, 1949, 269, 634, 23825, 1770, 6913, 19614, 540, 1269, 476, 279, 269, 276, 5479, 538, 476, 1001, 279, 269, 901, 10126, 2882, 32591, 28645, 267, 799, 13333, 476, 1789, 19633, 6703, 538, 5607, 267, 519, 12144, 267, 2342, 267, 519, 5664, 5101, 543, 3345, 3013, 543, 3091, 5826, 543, 7816, 2533, 269, 8921, 547, 621, 267, 13323, 6894, 568, 519, 10672, 540, 8484, 338, 267, 4171, 1292, 3631, 616, 519, 717, 18231, 267, 519, 717, 20862, 267, 519, 717, 4335, 267, 519, 717, 7785, 267, 519, 717, 20981, 543, 519, 717, 20981, 2207, 563, 289, 4861, 731, 1512, 729, 8547, 538, 454, 20075, 13069, 267, 4516, 267, 538, 476, 3707, 273, 676, 519, 11653, 9478, 5025, 3944, 663, 25512, 731, 1512, 267, 543, 568, 2221, 454, 821, 540, 519, 3056, 9755, 540, 5010, 543, 4357, 14884, 543, 454, 1515, 680, 6951, 269, 898, 568, 1634, 585, 922, 595, 10022, 1164, 24289, 8484, 1899, 267, 799, 3560, 338, 454, 1575, 547, 476, 5611, 15915, 269, 2060, 3592, 476, 3583, 267, 1822, 5520, 267, 621, 814, 2504, 543, 454, 30261, 4609, 538, 476, 2764, 2477, 269, 769, 476, 1001, 279, 267, 621, 6603, 19614, 540, 1269, 476, 1626, 269, 273, 5479, 563, 763, 5010, 8484, 10126, 814, 4421, 476, 272, 267, 12010, 4559, 538, 476, 3445, 2477, 799, 267, 1169, 3018, 267, 4163, 476, 272, 269, 276, 2929, 15915, 269, 769, 1840, 267, 621, 814, 513, 1870, 8484, 1899, 267, 1141, 922, 1292, 2472, 616, 3231, 27826, 267, 5668, 10152, 543, 6820, 269, 7831, 1032, 267, 519, 2754, 729, 6444, 1369, 519, 6820, 476, 1911, 4107, 12655, 11283, 725, 538, 519, 2622, 12039, 563, 763, 1283, 476, 1015, 645, 27739, 15712, 616, 281, 5794, 24650, 267, 24522, 515, 539, 9410, 267, 2136, 16370, 267, 23817, 28645, 267, 3345, 1886, 717, 5300, 2006, 267, 6380, 3757, 267, 17029, 3149, 20858, 576, 267, 645, 20067, 7010, 267, 4937, 18868, 543, 25512, 731, 1512, 269, 8625, 789, 723, 6659, 936, 476, 24062, 289, 1063, 741, 6059, 476, 12010, 298, 5520, 269, 645, 27739, 814, 476, 14631, 267, 1822, 5520, 543, 568, 19486, 476, 272, 560, 1851, 621, 779, 1283, 476, 1015, 15712, 269, 634, 1283, 476, 1015, 15712, 3328, 476, 3445, 267, 1822, 269, 0, 296, 1689, 1010, 1913, 538, 1082, 2665, 267, 543, 798, 711, 1611, 547, 796, 2903, 593, 1864, 1022, 5539, 585, 1250, 6898, 267, 855, 798, 6999, 547, 11760, 1250, 967, 20623, 1540, 1145, 547, 1864, 543, 693, 519, 1482, 942, 547, 2057, 519, 13766, 585, 519, 31934, 946, 540, 19722, 7436, 563, 2108, 10521, 2223, 7368, 13744, 553, 282, 543, 646, 1500, 1079, 3043, 7436, 609, 1010, 25879, 593, 519, 2427, 540, 519, 8868, 321, 5535, 269, 968, 2467, 17373, 1767, 646, 269, 968, 15812, 9553, 2223, 1767, 6276, 282, 968, 296, 723, 8868, 539, 1079, 13907, 1848, 13744, 553, 6825, 873, 267, 543, 1287, 9788, 519, 25879, 1524, 2390, 513, 6366, 6149, 676, 519, 2427, 540, 519, 2619, 267, 543, 5143, 519, 8695, 602, 789, 1590, 3247, 1310, 1169, 4452, 267, 543, 1118, 513, 1665, 267, 543, 602, 1131, 1832, 519, 22672, 11238, 3169, 563, 29012, 267, 519, 1762, 812, 781, 1413, 3592, 2179, 539, 547, 835, 540, 25713, 267, 585, 646, 1185, 2760, 2938, 519, 20801, 1354, 267, 4352, 670, 843, 320, 267, 547, 7247, 621, 1185, 1896, 2053, 1044, 3254, 543, 6045, 267, 1185, 5143, 1864, 827, 621, 269, 834, 4322, 7436, 6655, 4555, 2437, 1767, 4168, 267, 18413, 1010, 2062, 325, 5424, 593, 519, 3197, 269, 834, 4692, 789, 6655, 6946, 4555, 2437, 4280, 8210, 1782, 267, 834, 7945, 607, 616, 2352, 547, 2769, 24350, 763, 1985, 1554, 646, 3576, 856, 519, 7436, 543, 25418, 689, 519, 2898, 1899, 267, 543, 267, 4758, 803, 513, 1079, 1922, 324, 564, 4341, 547, 556, 24578, 5501, 621, 267, 1500, 803, 2322, 873, 782, 538, 1586, 269, 901, 594, 1185, 547, 10956, 1614, 610, 2185, 2053, 563, 296, 729, 28025, 796, 659, 638, 20557, 609, 519, 6429, 1354, 803, 269, 3143, 7436, 540, 3110, 2787, 610, 2528, 267, 1100, 15244, 540, 519, 3723, 25074, 540, 2367, 267, 941, 20559, 1043, 269, 594, 17077, 569, 6785, 538, 1018, 3148, 540, 519, 8608, 594, 729, 5116, 269, 594, 1185, 2097, 554, 2416, 676, 1797, 865, 538, 1410, 2364, 762, 607, 547, 4734, 621, 8449, 538, 8969, 2436, 594, 729, 9674, 689, 1250, 533, 11189, 705, 1712, 676, 513, 5757, 610, 606, 5836, 563, 293, 22863, 4862, 1864, 267, 543, 1558, 1864, 593, 519, 24383, 267, 5143, 1864, 1010, 1650, 267, 543, 4951, 1864, 519, 2014, 540, 1010, 15372, 269, 5839, 325, 22611, 2033, 8947, 519, 7436, 593, 1200, 1560, 269, 1412, 8133, 267, 646, 1767, 609, 513, 12162, 267, 1412, 527, 5654, 3165, 344, 269, 1412, 11039, 267, 1018, 1058, 594, 798, 286, 4280, 674, 22863, 269, 1412, 2710, 286, 7368, 519, 824, 269, 1412, 2710, 596, 1616, 547, 798, 4376, 286, 2274, 770, 1767, 4166, 652, 544, 2105, 267, 594, 1058, 2161, 269, 1412, 5278, 835, 3116, 1522, 21028, 1200, 267, 1843, 539, 674, 22863, 563, 3891, 1185, 4503, 1010, 1698, 282, 1010, 4552, 8288, 936, 1010, 30432, 538, 3552, 10539, 282, 1010, 4064, 941, 2699, 267, 1973, 3333, 582, 267, 543, 11613, 513, 4148, 877, 609, 519, 1768, 5558, 998, 799, 646, 1185, 5030, 18284, 873, 519, 3109, 7436, 1522, 723, 1044, 14360, 609, 513, 23315, 15513, 269, 3571, 1750, 4060, 941, 561, 1204, 4688, 585, 835, 8781, 5544, 563, 2005, 2360, 519, 6284, 543, 10661, 540, 2123, 15698, 267, 519, 16285, 540, 812, 936, 5128, 267, 585, 2185, 4627, 543, 13977, 26690, 2929, 20339, 267, 835, 21017, 540, 519, 1158, 781, 2698, 2551, 269, 634, 4457, 4838, 7436, 267, 538, 2110, 267, 513, 1390, 267, 23801, 1900, 538, 519, 593, 1189, 15292, 540, 1480, 3356, 563, 2080, 543, 972, 513, 5618, 6376, 729, 813, 2105, 547, 513, 4266, 267, 2356, 1100, 811, 982, 513, 2582, 2262, 281, 834, 29602, 257, 9648, 5310, 3670, 2053, 538, 513, 2698, 540, 1896, 4627, 13366, 282, 543, 2899, 1360, 2038, 538, 519, 1592, 543, 4553, 676, 1896, 7436, 540, 608, 17474, 267, 834, 20135, 5821, 8627, 10590, 2353, 713, 267, 1498, 621, 765, 339, 1540, 1250, 7279, 267, 5143, 803, 2370, 602, 729, 17386, 563, 2419, 3971, 338, 540, 556, 852, 333, 543, 1379, 941, 1166, 13593, 676, 519, 1034, 959, 604, 1782, 6799, 267, 799, 789, 4607, 2901, 607, 7436, 540, 11984, 267, 610, 607, 519, 7405, 540, 17195, 269, 769, 3540, 4744, 5014, 519, 21260, 1249, 542, 14365, 1819, 547, 7794, 922, 1719, 676, 10024, 883, 5728, 4296, 609, 519, 1827, 832, 540, 519, 20281, 16899, 269, 0, 306, 14954, 880, 2278, 267, 4535, 538, 14351, 27048, 543, 6659, 693, 519, 10040, 540, 4165, 10044, 930, 3845, 547, 519, 5087, 540, 519, 2749, 269, 634, 4651, 20705, 547, 513, 1134, 8153, 1920, 540, 1857, 8387, 269, 2991, 2090, 693, 1753, 31471, 336, 341, 626, 4682, 547, 772, 653, 338, 8403, 267, 2968, 513, 1153, 24490, 267, 543, 5249, 519, 1985, 1906, 1296, 607, 513, 20131, 543, 1857, 4013, 538, 14351, 27048, 269, 1261, 729, 2038, 593, 6766, 676, 4173, 337, 333, 327, 583, 1143, 543, 13785, 321, 3073, 269, 769, 476, 9264, 274, 267, 646, 2451, 1010, 4876, 538, 519, 1857, 3028, 267, 1141, 646, 1705, 711, 1745, 693, 1753, 267, 543, 6410, 519, 1032, 1310, 547, 966, 7564, 3944, 1633, 267, 9310, 543, 2968, 513, 16027, 269, 1325, 2819, 538, 476, 9264, 276, 267, 646, 729, 1394, 538, 14351, 27048, 1586, 267, 1141, 646, 6462, 5128, 676, 4758, 4245, 543, 676, 1585, 2308, 906, 269, 769, 519, 1296, 476, 9264, 280, 268, 6078, 267, 646, 729, 519, 2212, 24490, 540, 715, 5984, 27100, 1513, 330, 565, 534, 269, 769, 713, 1974, 267, 646, 5206, 930, 4557, 9499, 538, 4654, 543, 6128, 269, 31471, 336, 341, 626, 729, 3921, 7134, 538, 476, 8146, 278, 269, 3245, 476, 8146, 280, 646, 32524, 538, 589, 1111, 517, 4565, 611, 564, 543, 824, 14786, 269, 9603, 547, 1010, 9097, 2093, 646, 729, 7142, 547, 4734, 1010, 2990, 693, 715, 5984, 27100, 1513, 330, 565, 534, 267, 543, 3079, 646, 2968, 513, 3318, 5856, 538, 519, 476, 7277, 271, 779, 267, 609, 9645, 4760, 2065, 2534, 543, 30190, 960, 607, 513, 29787, 563, 1607, 568, 606, 28484, 4528, 540, 519, 2376, 827, 14161, 13744, 553, 11146, 31471, 336, 341, 626, 563, 8923, 8298, 538, 547, 1205, 519, 2407, 2070, 540, 5981, 9218, 540, 22439, 563, 309, 13453, 927, 320, 1148, 1731, 601, 333, 0, 10907, 27854, 2319, 540, 13675, 328, 5423, 1353, 1570, 585, 1362, 476, 1556, 7868, 1739, 1362, 476, 1556, 4967, 616, 5423, 585, 23048, 1362, 476, 1556, 543, 3730, 585, 808, 7417, 1299, 17252, 4953, 20136, 2985, 5161, 540, 1469, 1362, 476, 1556, 4967, 585, 5396, 899, 8212, 2073, 322, 13511, 2073, 18186, 1108, 2073, 289, 582, 1415, 543, 9119, 269, 2353, 1543, 568, 5423, 676, 6845, 528, 12200, 2818, 540, 13675, 328, 2348, 8717, 540, 1995, 538, 808, 7417, 18006, 1547, 7476, 1134, 3613, 19099, 1362, 476, 1556, 4967, 3584, 543, 1016, 3584, 8797, 609, 3773, 12193, 543, 5667, 9407, 2055, 563, 24687, 1404, 513, 1360, 1271, 1909, 538, 707, 3803, 6060, 540, 1362, 476, 1556, 981, 28560, 596, 6499, 1434, 6060, 538, 1362, 476, 1321, 628, 4604, 4481, 538, 2257, 543, 13004, 1641, 596, 991, 547, 723, 1434, 12497, 9355, 538, 1362, 476, 1556, 7868, 2596, 540, 2257, 543, 13004, 1641, 1376, 689, 1362, 476, 1556, 865, 596, 991, 547, 723, 1434, 1353, 4967, 609, 1434, 2298, 2055, 269, 12218, 476, 1556, 4967, 2874, 540, 1469, 3069, 3184, 8797, 609, 1016, 3584, 616, 4988, 538, 1142, 3184, 269, 2171, 723, 6836, 547, 2491, 782, 1523, 593, 799, 3622, 1053, 616, 6849, 1966, 269, 12218, 476, 1556, 4967, 616, 2966, 971, 513, 1259, 602, 596, 786, 707, 22027, 5612, 543, 666, 1644, 2035, 538, 10230, 563, 9359, 609, 19436, 1257, 1433, 1224, 519, 3069, 2016, 538, 19436, 1257, 1433, 1376, 6061, 519, 2243, 2016, 538, 19436, 1257, 1433, 609, 519, 948, 540, 13675, 328, 19436, 3435, 585, 1362, 476, 1556, 269, 4407, 6061, 2055, 540, 562, 32662, 1118, 2386, 596, 723, 7074, 782, 1271, 4542, 543, 2035, 538, 707, 4063, 1433, 982, 1310, 1376, 689, 13675, 328, 1362, 476, 1556, 4967, 621, 786, 8476, 519, 11271, 1565, 799, 596, 723, 2944, 689, 19436, 543, 1287, 4194, 519, 3635, 2016, 538, 519, 11271, 540, 1362, 476, 1556, 4967, 563, 22209, 8896, 328, 23345, 782, 519, 1353, 1570, 799, 568, 2838, 585, 519, 7041, 540, 808, 7417, 1299, 17252, 4953, 609, 1153, 2090, 585, 1362, 476, 1556, 1153, 649, 723, 3773, 19436, 3435, 585, 1362, 476, 1556, 609, 1906, 824, 4704, 2835, 269, 2690, 808, 7417, 543, 17252, 4953, 649, 723, 3773, 1362, 476, 1556, 4967, 609, 14330, 304, 2055, 543, 12193, 16148, 2055, 22698, 13511, 4542, 786, 948, 596, 547, 11677, 519, 1271, 4542, 1031, 538, 808, 7417, 543, 17252, 4953, 2529, 25630, 547, 7998, 4542, 596, 786, 1205, 3184, 8797, 6323 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 313, 331, 289, 9346, 295, 327, 308, 583, 16703, 1910, 19112, 325, 323, 14503, 329, 297, 321, 289, 336, 344, 22003, 1777, 300, 309, 17383, 26394, 307, 297, 330, 294, 6921, 22076, 293, 309, 330, 24174, 2316, 529, 6635, 345, 313, 293, 343, 309, 342, 310, 341, 292, 329, 297, 331, 299, 311, 343, 332, 300, 340, 308, 326, 10908, 299, 323, 298, 330, 312, 344, 307, 326, 294, 339, 335, 22333, 344, 312, 338, 14684, 337, 304, 300, 294, 7714, 306, 18860, 343, 342, 310, 961, 294, 1075, 10455, 288, 320, 31769, 23682, 3201, 528, 304, 330, 298, 290, 328, 28384, 337, 331, 2252, 22661, 326, 294, 339, 4811, 301, 298, 305, 342, 310, 291, 19049, 288, 320, 306, 3918, 1120, 19049, 307, 325, 293, 342, 322, 289, 325, 336, 327, 305, 25897, 310, 336, 333, 301, 298, 6447, 27184, 325, 18933, 332, 12000, 313, 327, 292, 345, 300, 332, 26822, 327, 345, 313, 342, 299, 322, 343, 311, 289, 321, 309, 341, 304, 12317, 293, 325, 298, 295, 10157, 294, 2969, 339, 336, 304, 313, 321, 289, 335, 308, 327, 295, 336, 304, 339, 291, 323, 332, 298, 312, 291, 341, 308, 336, 12685, 339, 307, 310, 296, 321, 289, 329, 706, 7419, 298, 19049, 31813, 330, 292, 298, 9915, 340, 288, 1794, 313, 306, 297, 329, 4944, 22333, 326, 306, 326, 342, 2998, 8104, 32142, 288, 304, 25537, 300, 343, 333, 301, 330, 298, 312, 14623, 5357, 313, 345, 342, 15477, 8578, 333, 301, 323, 333, 325, 336, 304, 300, 298, 14790, 292, 297, 16660, 305, 300, 6781, 525, 5308, 306, 338, 299, 310, 764, 290, 311, 292, 324, 294, 298, 297, 329, 297, 328, 5308, 7288, 307, 339, 294, 326, 309, 13270, 323, 17472, 334, 4512, 5456, 326, 343, 321, 313, 345, 26364, 295, 342, 313, 330, 288, 310, 342, 328, 296, 343, 336, 11073, 307, 341, 613, 325, 30820, 3951, 343, 320, 306, 311, 345, 341, 309, 310, 342, 309, 333, 301, 289, 310, 331, 302, 7251, 4785, 11357, 289, 298, 330, 336, 573, 291, 342, 310, 322, 6717, 322, 25519, 17682, 321, 289, 304, 332, 300, 7224, 304, 336, 333, 295, 327, 326, 294, 301, 335, 17269, 329, 300, 327, 295, 309, 11085, 328, 293, 325, 297, 327, 3725, 534, 301, 4157, 323, 291, 311, 337, 305, 329, 297, 341, 2998, 307, 325, 7246, 311, 343, 2967, 297, 300, 1729, 302, 326, 306, 312, 335, 303, 310, 342, 335, 323, 7894, 289, 310, 760, 325, 311, 335, 292, 344, 330, 298, 312, 18091, 297, 333, 330, 537, 334, 308, 297, 330, 306, 572, 327, 341, 299, 331, 321, 16576, 337, 21918, 292, 313, 330, 6265, 301, 343, 311, 308, 6853, 308, 2763, 288, 297, 329, 296, 573, 344, 312, 310, 342, 336, 297, 600, 20062, 12028, 24746, 4596, 290, 1723, 327, 295, 322, 336, 304, 12435, 313, 345, 294, 1375, 294, 330, 310, 296, 7417, 339, 307, 2465, 14765, 23682, 311, 20084, 330, 292, 324, 294, 313, 325, 335, 304, 336, 8170, 305, 332, 300, 294, 23950, 22473, 340, 297, 329, 321, 289, 308, 332, 27770, 297, 9080, 17764, 295, 331, 299, 326, 294, 345, 313, 334, 297, 303, 25885, 307, 294, 336, 306, 338, 304, 294, 326, 290, 297, 329, 743, 299, 325, 291, 294, 308, 308, 332, 300, 17472, 537, 298, 330, 308, 313, 344, 309, 320, 305, 337, 2304, 301, 325, 297, 300, 332, 329, 14888, 292, 324, 328, 307, 4811, 308, 5263, 325, 296, 328, 309, 10455, 297, 295, 327, 310, 9749, 321, 307, 339, 293, 322, 6347, 341, 300, 332, 296, 328, 309, 320, 289, 308, 340, 291, 27219, 8104, 339, 307, 325, 291, 323, 12396, 6938, 322, 336, 304, 300, 295, 9654, 2320, 6020, 344, 565, 299, 322, 290, 301, 15709, 326, 292, 5979, 302, 8008, 333, 301, 335, 4462, 329, 297, 338, 306, 320, 2304, 341, 340, 308, 308, 7699, 301, 333, 31082, 339, 307, 326, 321, 29797, 303, 312, 334, 302, 311, 343, 327, 23966, 1122, 294, 25629, 306, 297, 302, 313, 299, 322, 290, 313, 345, 331, 297, 6359, 344, 343, 324, 300, 331, 28356, 5864, 341, 311, 25632, 5183, 777, 311, 338, 306, 343, 308, 340, 334, 302, 13697, 325, 312, 21254, 323, 5500, 340, 295, 343, 313, 5414, 312, 331, 299, 309, 297, 329, 339, 307, 1186, 290, 322, 306, 309, 320, 4263, 323, 342, 23354, 320, 8582, 299, 345, 313, 305, 2252, 293, 332, 329, 4916, 332, 309, 341, 5960, 294, 7002, 3412, 288, 324, 310, 332, 9288, 32209, 31014, 310, 342, 293, 325, 342, 321, 295, 323, 333, 297, 329, 313, 26698, 304, 288, 343, 311, 310, 342, 306, 311, 325, 293, 343, 302, 11561, 300, 310, 9749, 298, 330, 4777, 300, 321, 309, 324, 328, 296, 28999, 304, 310, 342, 330, 305, 571, 294, 665, 1910, 324, 2894, 301, 304, 323, 292, 324, 15045, 4135, 21683, 304, 336, 308, 340, 10861, 10975, 300, 343, 335, 4777, 25721, 302, 334, 313, 345, 25508, 302, 345, 313, 308, 1872, 311, 343, 345, 313, 294, 320, 300, 309, 334, 10498, 321, 3528, 928, 295, 332, 345, 310, 302, 690, 294, 301, 12487, 342, 311, 343, 310, 337, 305, 339, 343, 340, 308, 327, 303, 335, 321, 335, 336, 304, 303, 325, 312, 328, 302, 528, 288, 611, 11403, 2801, 321, 341, 345, 9926, 313, 12682, 298, 330, 329, 298, 301, 311, 322, 295, 327, 31323, 293, 343, 300, 333, 313, 334, 300, 332, 8500, 312, 311, 340, 288, 611, 764, 24688, 3198, 292, 344, 312, 523, 295, 304, 336, 293, 336, 304, 329, 297, 343, 311, 325, 290, 11899, 294, 22835, 1731, 298, 320, 2304, 301, 332, 302, 313, 345, 297, 323, 5141, 4753, 330, 298, 329, 300, 298, 341, 6390, 336, 321, 313, 308, 304, 29949, 21990, 8170, 321, 308, 340, 308, 336, 339, 307, 6020, 12685, 337, 302, 336, 326, 330, 308, 583, 307, 298, 329, 297, 330, 298, 304, 336, 336, 306, 19561, 299, 332, 296, 20071, 4263, 312, 344, 299, 331, 297, 331, 343, 311, 295, 340, 298, 331, 299, 27778, 297, 329, 12195, 331, 288, 343, 323, 754, 291, 323, 291, 20911, 325, 293, 1815, 345, 313, 13585, 310, 345, 313, 342, 12011, 329, 15771, 327, 335, 312, 344, 312, 12682, 307, 310, 342, 306, 344, 312, 301, 3534, 17751, 5984, 288, 9654, 12685, 10907, 1962, 321, 311, 291, 323, 294, 326, 329, 308, 340, 296, 545, 303, 335, 290, 329, 297, 310, 342, 8170, 302, 328, 6579, 300, 312, 4263, 293, 332, 6573, 696, 23802, 299, 296, 341, 342, 310, 14976, 333, 299, 331, 777, 4565, 299, 340, 310, 342, 308, 294, 11293, 2125, 306, 325, 553, 342, 307, 339, 298, 305, 337, 294, 326, 332, 17304, 288, 343, 311, 310, 342, 6573, 335, 345, 342, 299, 331, 293, 325, 289, 321, 345, 313, 329, 343, 335, 322, 2419, 328, 296, 28999, 5425, 3333, 335, 322, 7563, 611, 289, 321, 311, 295, 327, 312, 307, 1399, 4141, 291, 5522, 322, 295, 327, 290, 336, 4629, 303, 345, 313, 323, 341, 289, 321, 311, 341, 22849, 11902, 344, 312, 322, 313, 343, 326, 310, 342, 307, 321, 313, 345, 323, 291, 327, 10870, 4002, 325, 293, 312, 335, 312, 344, 321, 7922, 341, 5588, 304, 336, 304, 336, 326, 308, 341, 294, 326, 321, 289, 329, 297, 292, 324, 300, 1805, 332, 1815, 290, 577, 295, 25885, 307, 322, 10481, 14976, 299, 326, 294, 325, 292, 2131, 321, 299, 340, 308, 331, 309, 326, 22835, 643, 291, 29210, 294, 752, 298, 326, 311, 343, 342, 291, 19049, 322, 23871, 305, 334, 298, 651, 341, 294, 320, 4456, 320, 4916, 305, 3464, 302, 1993, 345, 310, 345, 307, 339, 32074, 290, 31983, 31270, 30501, 308, 343, 291, 345, 326, 294, 11575, 12195, 331, 335, 11965, 340, 10013, 331, 306, 298, 802, 293, 327, 295, 301, 333, 329, 297, 323, 326, 294, 11403, 328, 288, 328, 303, 339, 291, 31389, 308, 313, 4206, 291, 323, 301, 333, 325, 11901, 297, 329, 327, 295, 31198, 760, 312, 329, 3725, 292, 344, 312, 338, 306, 337, 321, 289, 297, 338, 306, 14623, 8582, 342, 12320, 342, 310, 323, 330, 301, 333, 329, 291, 341, 306, 338, 313, 297, 329, 311, 343, 2252, 311, 345, 313, 3201, 336, 302, 334, 298, 10135, 337, 307, 339, 294, 326, 306, 12921, 298, 336, 299, 331, 304, 322, 290, 339, 307, 990, 309, 341, 309, 337, 289, 330, 298, 295, 31769, 342, 310, 27476, 298, 340, 18510, 321, 300, 332, 308, 343, 311, 22003, 311, 343, 289, 321, 345, 304, 303, 297, 329, 338, 306, 2026, 306, 326, 294, 320, 304, 11561, 339, 302, 296, 297, 342, 295, 321, 289, 339, 1320, 329, 294, 326, 310, 342, 328, 288, 534, 307, 341, 313, 345, 333, 309, 289, 321, 1910, 31800, 2464, 297, 300, 345, 309, 341, 313, 11070, 343, 337, 331, 342, 310, 299, 289, 304, 336, 321, 310, 17703, 310, 12435, 331, 305, 15709, 304, 336, 293, 325, 295, 3873, 6635, 330, 298, 613, 5319, 7034, 305, 332, 311, 295, 327, 304, 336, 343, 300, 328, 310, 342, 336, 307, 297, 329, 288, 311, 302, 326, 2750, 311, 320, 294, 326, 325, 11902, 295, 327, 312, 7069, 297, 324, 302, 296, 308, 323, 742, 301, 4916, 4944, 302, 32634, 301, 328, 10712, 300, 297, 320, 288, 304, 323, 5719, 9680, 298, 330, 290, 322, 5591, 302, 330, 298, 298, 330, 313, 345, 299, 3149, 331, 311, 343, 298, 330, 345, 26387, 306, 341, 332, 12613, 2862, 345, 307, 1777, 307, 326, 292, 297, 342, 292, 330, 299, 339, 335, 303, 321, 309, 341, 293, 325, 333, 308, 344, 312, 592, 310, 300, 293, 325, 334, 299, 331, 16936, 24774, 343, 13510, 330, 292, 539, 20597, 298, 338, 337, 11965, 326, 296, 1410, 311, 28384, 787, 298, 330, 312, 307, 329, 304, 343, 311, 342, 310, 4629, 334, 527, 18958, 329, 304, 345, 313, 336, 297, 343, 288, 320, 3201, 289, 293, 333, 301, 325, 306, 338, 2839, 323, 7441, 337, 26244, 304, 336, 548, 23852, 308, 12320, 342, 310, 309, 325, 10202, 301, 333, 296, 10387, 300, 308, 297, 332, 311, 338, 1805, 345, 16810, 339, 307, 301, 328, 296, 328, 296, 343, 326, 310, 342, 296, 312, 28999, 304, 301, 333, 5746, 320, 298, 333, 331, 305, 322, 290, 7582, 517, 343, 311, 338, 17239, 327, 332, 300, 341, 27409, 28213, 985, 343, 311, 306, 2793, 329, 337, 305, 331, 288, 334, 311, 293, 325, 307, 328, 8379, 320, 291, 340, 308, 323, 297, 323, 299, 331, 291, 321, 6826, 548, 5085, 309, 12858, 296, 2710, 301, 337, 329, 297, 20670, 307, 289, 321, 345, 313, 320, 310, 337, 305, 933, 340, 297, 294, 327, 341, 309, 345, 325, 295, 289, 321, 342, 310, 320, 17682, 537, 25219, 291, 4462, 301, 343, 331, 17162, 304, 336, 298, 336, 334, 302, 304, 297, 10202, 311, 324, 580, 310, 320, 294, 309, 340, 308, 12858, 296, 327, 308, 313, 325, 293, 345, 310, 307, 339, 310, 296, 12011, 6359, 325, 293, 297, 300, 326, 304, 336, 343, 332, 4696, 309, 11921, 343, 311, 303, 335, 311, 343, 333, 341, 309, 13585, 311, 2465, 291, 327, 294, 326, 322, 290, 301, 333, 312, 344, 289, 2421, 2741, 307, 311, 343, 299, 29368, 25900, 290, 313, 302, 334, 308, 340, 306, 338, 312, 292, 324, 295, 327, 4456, 304, 336, 294, 312, 6614, 312, 344, 325, 297, 4811, 515, 328, 296, 545, 292, 297, 329, 302, 296, 529, 306, 312, 14623, 1122, 335, 300, 332, 660, 324, 299, 331, 345, 311, 298, 330, 576, 11246, 7699, 288, 308, 324, 292, 334, 302, 342, 290, 312, 331, 299, 295, 4753, 308, 336, 304, 302, 322, 290, 312, 343, 337, 305, 333, 305, 336, 301, 333, 305, 337, 325, 2207, 1805, 25629, 305, 334, 8008, 1440, 326, 294, 328, 289, 293, 297, 329, 337, 291, 325, 802, 336, 324, 292, 304, 3333, 323, 291, 2096, 334, 302, 326, 295, 327, 31769, 333, 289, 8578, 304, 12685, 25885, 292, 5522, 308, 340, 297, 344, 289, 25975, 308, 23682, 311, 307, 3279, 303, 304, 7495, 4777, 2135, 311, 328, 305, 337, 306, 338, 303, 325, 323, 291, 20142, 300, 325, 313, 298, 322, 288, 629, 327, 1873, 292, 324, 312, 11917, 31807, 18199, 339, 343, 327, 329, 305, 298, 332, 300, 330, 9071, 295, 340, 329, 297, 294, 325, 9928 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 476, 272, 267, 2004, 24843, 16963, 296, 598, 328, 13005, 1726, 31830, 328, 1942, 8457, 476, 273, 267, 876, 24843, 16963, 296, 331, 15074, 1092, 1470, 4549, 320, 476, 1789, 4846, 1019, 15074, 622, 552, 513, 5386, 575, 1640, 333, 1092, 3138, 1710, 529, 576, 4691, 1729, 267, 1368, 611, 1725, 18372, 476, 27038, 267, 2004, 24843, 692, 291, 320, 476, 273, 4846, 1019, 15074, 6737, 1019, 1106, 8457, 476, 1839, 23080, 710, 16963, 303, 1601, 3554, 334, 267, 844, 785, 328, 267, 13284, 822, 732, 13005, 1391, 685, 738, 9874, 1217, 1794, 7748, 24924, 1003, 3266, 9103, 1446, 1019, 23080, 710, 1750, 23313, 1106, 8457, 598, 476, 1789, 4846, 1019, 15074, 6737, 267, 791, 739, 18372, 19448, 605, 1602, 345, 7748, 1384, 273, 737, 575, 2433, 476, 1839, 23080, 710, 476, 1789, 737, 575, 2433, 1535, 335, 718, 710, 1535, 476, 1839, 476, 1789, 692, 23841, 692, 273, 692, 288, 6277, 3554, 334, 538, 4691, 1729, 476, 23841, 23080, 710, 780, 8110, 1567, 565, 3164, 24924, 1966, 320, 798, 6277, 3554, 334, 791, 739, 732, 796, 521, 626, 9047, 1019, 1226, 1794, 542, 328, 513, 1813, 1651, 1758, 924, 267, 2015, 18372, 829, 796, 685, 3225, 1794, 7748, 24924, 1003, 3266, 1642, 548, 23080, 710, 267, 829, 561, 685, 5306, 571, 24924, 1368, 611, 1725, 334, 9103, 1446, 780, 2419, 3554, 3554, 334, 598, 1535, 24924, 1003, 3266, 632, 328, 15074, 10620, 598, 1813, 31830, 328, 630, 16746, 23080, 710, 264, 552, 598, 586, 24924, 1003, 3266, 632, 328, 15074, 10620, 513, 1726, 454, 326, 755, 328, 630, 30036, 23080, 710, 1916, 273, 454, 343, 31609, 476, 274, 586, 23880, 476, 23841, 4586, 306, 777, 754, 334, 1750, 24924, 1003, 3266, 9103, 1446, 1019, 23080, 710, 3331, 357, 476, 23841, 267, 1285, 8145, 334, 1750, 912, 272, 267, 476, 2004, 25104, 368, 1535, 31609, 476, 273, 267, 476, 876, 25104, 368, 586, 23880, 476, 27038, 267, 476, 276, 4586, 291, 6737, 1750, 796, 15074, 6737, 13005, 1813, 23080, 710, 1942, 320, 476, 272, 267, 2004, 24843, 552, 796, 334, 13005, 1726, 683, 1942, 320, 476, 273, 267, 876, 24843, 267, 1502, 3554, 334, 9379, 633, 516, 454, 288, 6277, 3554, 334, 844, 785, 328, 24924, 521, 626, 9047, 267, 1750, 1567, 565, 3164, 15879, 598, 24924, 1558, 29081, 546, 7578, 521, 739, 527, 15120, 7748, 563, 15744, 361, 24033, 510, 454, 343, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 361, 24033, 510, 476, 273, 1535, 31609, 476, 274, 586, 23880, 476, 23841, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 363, 24033, 510, 17986, 511, 24033, 510, 454, 273, 454, 15744, 362, 24033, 510, 17986, 511, 24033, 510, 476, 272, 267, 476, 2004, 1535, 31609, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 273, 454, 15744, 363, 24033, 510, 17986, 511, 24033, 510, 454, 272, 267, 476, 2004, 25104, 368, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 362, 24033, 510, 17986, 363, 24033, 510, 476, 272, 267, 476, 2004, 1535, 31609, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 24033, 360, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 15744, 363, 24033, 510, 17986, 362, 24033, 510, 454, 273, 454, 15744, 361, 24033, 510, 454, 343, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 343, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 273, 454, 15744, 511, 24033, 510, 17986, 363, 24033, 510, 454, 15744, 361, 24033, 510, 17986, 363, 24033, 510, 17986, 511, 24033, 510, 454, 15744, 511, 24033, 510, 17986, 363, 24033, 510, 454, 273, 454, 273, 454, 6321, 273, 267, 476, 276, 12865, 511, 476, 275, 267, 476, 276, 586, 454, 15744, 362, 24033, 510, 17986, 363, 24033, 510, 476, 6321, 273, 267, 476, 276, 12865, 511, 476, 275, 267, 476, 276, 586, 31609, 476, 275, 586, 23880, 476, 276, 1428, 454, 15744, 362, 24033, 510, 17986, 363, 24033, 510, 12865, 511, 271, 267, 476, 276, 586, 23880, 12865, 511, 5325, 267, 476, 276, 454, 24033, 360, 476, 273, 586, 23880, 476, 27038, 267, 476, 276, 454, 15744, 363, 24033, 510, 17986, 362, 24033, 510, 454, 273, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 586, 454, 15744, 361, 24033, 510, 1535, 23880, 476, 23841, 12865, 511, 476, 274, 25104, 368, 476, 4817, 454, 15744, 363, 24033, 510, 454, 273, 454, 273, 454, 15744, 511, 24033, 510, 586, 23880, 12865, 511, 476, 5325, 267, 476, 276, 454, 15744, 361, 24033, 510, 17986, 511, 24033, 510, 1535, 23880, 476, 3393, 454, 15744, 362, 24033, 510, 586, 23880, 476, 4817, 454, 15744, 363, 24033, 510, 454, 24033, 377, 476, 4817, 454, 15744, 511, 24033, 510, 17986, 363, 24033, 510, 17986, 363, 24033, 510, 17986, 362, 24033, 510, 454, 344, 23880, 476, 4817, 454, 15744, 362, 24033, 510, 454, 271, 267, 476, 276, 454, 296, 331, 15074, 1092, 1470, 688, 844, 785, 328, 15764, 19513, 476, 3393, 598, 328, 13005, 1813, 23080, 710, 552, 476, 4817, 598, 328, 13005, 1726, 23080, 710, 780, 277, 269, 13961, 3897, 739, 686, 1750, 682, 15497, 328, 1019, 796, 25671, 1470, 3900, 517, 334, 24924, 25671, 1470, 538, 844, 3430, 549, 2468, 836, 10008, 1813, 632, 328, 4018, 328, 5067, 334, 1226, 5006, 525, 328, 780, 306, 14179, 326, 2939, 334, 454, 288, 454, 291, 454, 302, 454, 289, 454, 295, 454, 298, 692, 290, 692, 291, 984, 321, 3554, 334, 3897, 739, 571, 516, 1750, 1813, 1019, 1391, 328, 844, 3430, 549, 2468, 836, 10008, 692, 15744, 356, 24033, 510, 17986, 357, 24033, 510, 17986, 355, 24033, 510, 589, 15477, 6902, 589, 7495, 6902, 645, 8016, 282, 667, 8016, 17986, 372, 24033, 510, 17986, 370, 24033, 510, 692, 15744, 371, 24033, 510, 5459, 334, 1226, 5006, 525, 328, 10484, 857, 334, 11726, 1750, 554, 2335, 334, 3288, 588, 612, 320, 1609, 3290, 324, 267, 9065, 591, 334, 3288, 588, 612, 320, 1858, 780, 296, 2468, 836, 10008, 692, 288, 7495, 645, 8016, 692, 324, 692, 5459, 334, 7708, 653, 334, 4129, 328, 546, 698, 2993, 5621, 686, 829, 1494, 518, 1965, 572, 516, 1226, 5006, 525, 328, 267, 796, 334, 3331, 357, 7708, 653, 334, 692, 6588, 526, 324, 267, 561, 685, 5306, 549, 7708, 653, 334, 17552, 3712, 334, 282, 840, 526, 3554, 334, 844, 785, 328, 538, 2015, 1794, 7748, 1350, 328, 5621, 686, 1813, 10484, 288, 15477, 667, 8016, 692, 324, 692, 780, 8110, 3897, 739, 571, 516, 3288, 561, 19660, 1226, 5006, 3290, 324, 798, 6277, 3554, 334, 3897, 739, 571, 516, 1750, 554, 2335, 334, 3288, 588, 612, 320, 1858, 267, 524, 1470, 11726, 1750, 24924, 692, 2889, 25346, 1729, 546, 7578, 3490, 829, 561, 685, 531, 974, 3960, 320, 8954, 334, 1813, 546, 749, 685, 684, 334, 521, 807, 579, 326, 783, 324, 513, 844, 10314, 546, 749, 685, 5306, 549, 269, 7313, 747, 2946, 267, 829, 383, 366, 1875, 705, 321, 3554, 334, 3693, 328, 513, 647, 1553, 1329, 5633, 829, 2484, 5979, 267, 798, 6277, 3554, 334, 1285, 1998, 518, 857, 1019, 5621, 686, 2468, 836, 10008, 267, 632, 328, 4018, 328, 1775, 1813, 538, 2243, 324, 535, 2335, 334, 851, 324, 267, 829, 1093, 328, 3351, 11170, 732, 3288, 32388, 14504, 1019, 5973, 27833, 829, 988, 333, 5633, 780, 13706, 3554, 334, 1775, 2468, 836, 10008, 692, 269, 2372, 652, 328, 2468, 836, 10008, 5067, 334, 1226, 5006, 525, 328, 267, 1093, 747, 2946, 554, 2335, 334, 3288, 588, 612, 320, 3490, 692, 24033, 510, 12865, 510, 692, 22933, 482, 19569, 482, 692, 3722, 289, 667, 6195, 692, 324, 692, 6195, 552, 620, 974, 345, 2763, 17602, 11230, 267, 589, 295, 815, 667, 298, 269, 4144, 598, 572, 7666, 27833, 267, 554, 2335, 334, 3288, 588, 612, 320, 1858, 780, 8253, 3554, 334, 1750, 524, 328, 2444, 684, 334, 1019, 1391, 328, 1813, 2468, 836, 10008, 4996, 383, 366, 1965, 572, 516, 1085, 558, 14006, 334, 538, 5621, 686, 1813, 1384, 3722, 289, 692, 11726, 11003, 334, 692, 289, 8016, 692, 288, 15477, 645, 8016, 667, 6195, 692, 6767, 692, 1260, 2317, 630, 692, 266, 692, 16963, 6393, 11726, 11003, 334, 13005, 692, 291, 8016, 645, 8016, 8028, 289, 667, 6195, 692, 266, 692, 269, 966, 2664, 30790, 844, 785, 328, 1750, 19274, 3331, 357, 796, 2468, 836, 23383, 538, 692, 288, 15477, 667, 8016, 692, 780, 8110, 1391, 334, 4665, 334, 267, 1089, 754, 334, 692, 288, 6277, 3554, 334, 844, 785, 328, 3897, 739, 337, 6737, 3288, 512, 525, 328, 1642, 1966, 320, 780, 267, 632, 557, 829, 585, 5633, 1965, 572, 516, 1750, 692, 278, 780, 343, 454, 24033, 357, 1535, 12865, 511, 454, 272, 24033, 358, 454, 343, 12865, 511, 476, 275, 692, 323, 9057, 2088, 682, 7873, 714, 542, 328, 1019, 1965, 626, 27833, 692, 306, 14179, 326, 2939, 334, 10500, 514, 577, 2946, 796, 9097, 324, 1965, 16695, 3331, 357, 2122, 9222, 1750, 24924, 647, 334, 2234, 545, 18372, 521, 807, 4012, 22080, 648, 522, 579, 326, 783, 324, 513, 4642, 269, 595, 9950, 780, 343, 1535, 476, 272, 692, 271, 692, 343, 12865, 511, 476, 275, 454, 305, 18066, 341, 3554, 334, 522, 571, 3288, 1669, 638, 1794, 7748, 912, 301, 25104, 367, 476, 271, 454, 343, 12865, 357, 1535, 12865, 511, 476, 272, 24033, 358, 27949, 367, 476, 271, 454, 343, 454, 27949, 367, 522, 454, 343, 454, 24033, 511, 476, 272, 25104, 367, 476, 271, 17986, 508, 454, 343, 25104, 367, 476, 272, 454, 292, 572, 7666, 3554, 334, 3138, 18638, 1642, 694, 3913, 334, 912, 343, 454, 27949, 352, 476, 271, 17986, 504, 454, 343, 25104, 367, 476, 272, 4586, 288, 6277, 3554, 334, 267, 844, 785, 328, 267, 829, 24924, 6746, 520, 648, 2676, 291, 1535, 12865, 511, 12865, 378, 476, 275, 476, 271, 12865, 378, 476, 271, 17986, 508, 1535, 12865, 378, 476, 275, 454, 3412, 14006, 3554, 334, 522, 571, 3138, 18638, 1642, 694, 3913, 334, 9808, 6746, 520, 648, 552, 12030, 520, 648, 1384, 22437, 747, 2946, 3288, 1669, 638, 1794, 7748, 1019, 851, 27833, 5736, 4012, 22080, 648, 522, 579, 326, 783, 324, 513, 4642, 267, 840, 526, 3554, 334, 1350, 328, 954, 341, 718, 334, 27082, 643, 328, 1384, 271, 1535, 476, 272, 1535, 476, 275, 16317, 279, 780, 1314, 513, 454, 274, 454, 343, 454, 273, 454, 273, 454, 343, 454, 272, 454, 343, 454, 273, 454, 24033, 511, 476, 273, 31609, 476, 272, 454, 343, 454, 1314, 513, 692, 306, 14179, 326, 2939, 334, 3131, 2215, 320, 5430, 320, 267, 15002, 3554, 334, 682, 7873, 714, 542, 328, 1019, 1965, 626, 27833, 269, 667, 984, 321, 3554, 334, 801, 328, 732, 24924, 694, 3913, 334, 1642, 9097, 324, 7750, 4815, 538, 882, 1794, 7748, 513, 844, 10314, 1642, 9097, 324, 13392, 334, 780, 301, 476, 271, 4949, 513, 476, 271, 513, 1535, 476, 1015, 692, 320, 692, 343, 692, 343, 692, 27949, 367, 25104, 367, 24033, 511, 272, 476, 271, 692, 320, 692, 343, 692, 27949, 352, 25104, 352, 24033, 511, 272, 476, 271, 692, 273, 692, 273, 1535, 476, 272, 476, 271, 1535, 476, 272, 476, 271, 25104, 362, 24033, 351, 343, 17986, 492, 15744, 480, 267, 1535, 25104, 373, 24033, 511, 272, 692, 273, 692, 8110, 3288, 2034, 320, 2234, 823, 533, 517, 3554, 334, 24924, 2234, 545, 18372, 4012, 22080, 648, 522, 579, 326, 783, 324, 513, 4642, 1384, 1535, 476, 273, 12865, 511, 476, 273, 1535, 31609, 476, 272, 12865, 357, 1535, 12865, 511, 476, 272, 12865, 358, 476, 273, 476, 271, 25104, 367, 25104, 362, 4949, 513, 12865, 511, 715, 25104, 367, 476, 271, 12865, 357, 343, 12865, 511, 476, 272, 24033, 358, 476, 273, 25104, 367, 476, 271, 12865, 357, 513, 1535, 12865, 511, 476, 272, 12865, 351, 343, 17986, 492, 15744, 480, 12865, 358, 667, 12865, 378, 476, 271, 513, 24033, 357, 1535, 12865, 511, 476, 272, 24033, 358, 24033, 378, 476, 271, 513, 12865, 378, 476, 271, 1535, 12865, 511, 476, 272, 12865, 378, 476, 271, 17986, 508, 1535, 12865, 378, 476, 272, 692, 271, 692, 301, 601, 8732, 334, 538, 524, 14241, 513, 521, 807, 1295, 648, 1019, 4642, 267, 1285, 8145, 334, 1750, 692, 320, 692, 343, 692, 24033, 376, 12865, 376, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 27425, 269, 1358, 949, 917, 621, 568, 513, 3109, 267, 3943, 18702, 2197, 267, 799, 8843, 519, 12144, 6532, 540, 3571, 3966, 2723, 320, 609, 519, 29401, 6243, 269, 3245, 1018, 789, 1294, 593, 8613, 789, 8275, 621, 568, 513, 4057, 267, 10795, 4182, 12199, 676, 513, 19588, 540, 28983, 267, 1142, 9583, 8338, 982, 519, 2063, 269, 1358, 949, 849, 12314, 27425, 609, 15978, 267, 6760, 267, 3075, 14228, 338, 267, 10935, 1004, 543, 2825, 12469, 269, 1452, 616, 782, 2953, 12205, 855, 519, 1686, 540, 27425, 12662, 782, 713, 538, 513, 6626, 2796, 269, 898, 3091, 835, 540, 519, 1034, 865, 828, 532, 4245, 827, 5198, 538, 519, 1715, 2622, 269, 898, 568, 513, 1650, 602, 568, 10355, 5143, 267, 855, 519, 1989, 574, 19178, 540, 519, 20951, 1014, 4838, 543, 922, 21987, 616, 1175, 607, 17709, 540, 938, 3007, 2221, 607, 789, 941, 476, 1220, 1296, 3516, 269, 7183, 824, 982, 700, 1054, 1886, 853, 15957, 731, 267, 945, 5206, 1010, 1912, 6185, 269, 5098, 593, 27425, 543, 2663, 3370, 621, 607, 634, 3943, 7169, 538, 5842, 667, 4040, 334, 267, 1572, 519, 3109, 32574, 968, 1492, 1101, 8710, 536, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 4197, 25827, 543, 25833, 24894, 692, 5331, 596, 616, 3843, 547, 1451, 1945, 1007, 267, 899, 4730, 513, 7574, 6293, 269, 2311, 1101, 267, 621, 1522, 581, 2352, 547, 3314, 1141, 547, 1747, 707, 11263, 593, 519, 13176, 8405, 610, 875, 547, 9514, 883, 519, 5587, 6839, 1175, 1318, 269, 1809, 609, 2259, 543, 9639, 267, 936, 942, 267, 621, 3587, 4443, 269, 3767, 4952, 602, 1565, 729, 2760, 2653, 585, 596, 267, 1100, 2339, 875, 2182, 596, 6836, 269, 901, 568, 1018, 1272, 666, 581, 899, 585, 1004, 609, 7214, 543, 11095, 9124, 630, 2839, 291, 6393, 1432, 1281, 9517, 291, 1611, 888, 2411, 13430, 2304, 7214, 9659, 5540, 519, 1259, 513, 1268, 14659, 267, 16137, 267, 31758, 2042, 267, 543, 2306, 3664, 269, 589, 11095, 9659, 4016, 547, 1022, 2783, 602, 6238, 1354, 15296, 543, 3123, 1279, 3856, 7687, 538, 2168, 267, 2790, 267, 610, 3929, 5759, 269, 6884, 891, 2474, 616, 1031, 1927, 1317, 789, 1419, 16937, 910, 2576, 609, 606, 7214, 9659, 949, 849, 723, 2591, 609, 2168, 610, 3929, 2208, 780, 4131, 781, 2736, 713, 1524, 2417, 1210, 4948, 1893, 269, 1403, 2576, 814, 9517, 291, 267, 789, 1522, 991, 811, 948, 982, 1866, 741, 2085, 950, 621, 2501, 547, 1565, 1007, 1983, 267, 1620, 1950, 2035, 267, 610, 5883, 3232, 4247, 269, 1358, 949, 2154, 3606, 7028, 547, 2661, 10446, 267, 2226, 17052, 267, 610, 8011, 27268, 269, 1717, 267, 3025, 568, 2189, 256, 3807, 607, 1100, 1079, 1004, 616, 7567, 267, 1100, 1079, 2043, 609, 9517, 291, 2671, 4010, 519, 1482, 9342, 267, 2115, 267, 610, 2833, 780, 15650, 540, 25827, 543, 25833, 24894, 454, 24801, 21387, 2467, 3884, 1405, 835, 2582, 1826, 540, 9517, 291, 282, 3079, 972, 781, 513, 2647, 2039, 540, 2175, 602, 2887, 896, 713, 22597, 2165, 269, 2368, 1455, 3283, 1331, 13560, 6794, 267, 10295, 8552, 4524, 267, 19341, 4568, 6794, 267, 543, 17866, 2473, 6794, 269, 3962, 540, 891, 2175, 5222, 1114, 2127, 540, 8647, 543, 3340, 1808, 7459, 780, 2690, 1383, 267, 2576, 609, 13560, 6794, 3335, 814, 3982, 11132, 2934, 267, 2539, 4887, 3159, 267, 543, 5042, 17799, 269, 20150, 25400, 13081, 267, 593, 519, 824, 1688, 267, 5097, 5540, 1514, 5872, 543, 2792, 855, 666, 4268, 7494, 1063, 2043, 269, 674, 13926, 15850, 15540, 2164, 689, 27514, 4598, 547, 4568, 543, 2882, 2168, 267, 8965, 267, 543, 1565, 7965, 269, 32746, 850, 2473, 15540, 568, 513, 4719, 4524, 4929, 7214, 9659, 267, 10058, 2168, 7592, 267, 543, 3006, 26144, 5615, 780, 29670, 609, 9517, 291, 454, 1366, 19567, 16908, 609, 9517, 291, 666, 3142, 827, 1978, 2591, 267, 855, 621, 6157, 3085, 1405, 2061, 8788, 267, 1967, 267, 610, 20106, 269, 2060, 3617, 7028, 543, 2533, 267, 1082, 1004, 609, 9517, 291, 1291, 3638, 2729, 2407, 540, 7772, 267, 11505, 267, 2648, 267, 543, 9740, 269, 1358, 7390, 3506, 267, 3180, 6009, 267, 7119, 538, 2146, 2238, 267, 1020, 3347, 267, 543, 3565, 9797, 547, 2486, 780, 9288, 7566, 4658, 609, 9517, 291, 454, 2411, 19567, 2791, 4440, 2907, 917, 2576, 609, 9517, 291, 267, 1256, 952, 596, 1810, 1405, 8275, 621, 256, 9320, 707, 1362, 22940, 11392, 3063, 6351, 1282, 4245, 267, 610, 5310, 707, 7023, 3096, 1129, 1893, 547, 5968, 269, 15775, 547, 917, 1004, 609, 9517, 291, 2337, 1628, 6568, 267, 11942, 13784, 267, 543, 3181, 16218, 11475, 269, 5457, 267, 649, 782, 17330, 2463, 543, 11587, 267, 7488, 540, 938, 3604, 780, 13825, 1456, 17086, 281, 31197, 20492, 454, 28598, 9617, 899, 1022, 1895, 2324, 2509, 1455, 3853, 267, 14223, 3906, 1404, 2629, 5107, 538, 5885, 1346, 4299, 676, 9517, 291, 269, 1452, 2516, 960, 24091, 547, 3895, 4656, 267, 5150, 7616, 267, 3310, 3609, 2242, 267, 543, 2327, 3160, 3255, 585, 2043, 609, 9517, 291, 269, 1635, 11836, 4229, 267, 649, 1711, 6793, 2950, 602, 1871, 1169, 4759, 781, 4502, 543, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 4696, 19699, 7143, 3699, 1007, 2818, 269, 11835, 1456, 568, 2241, 267, 543, 3322, 11264, 606, 2228, 3498, 1106, 267, 26446, 707, 22008, 547, 519, 5728, 30353, 267, 543, 9878, 707, 15376, 13927, 269, 634, 15445, 9730, 786, 2015, 707, 3498, 693, 922, 14232, 5870, 269, 21988, 2818, 786, 4309, 513, 10950, 4757, 543, 3640, 7713, 519, 2640, 540, 15376, 543, 875, 547, 2170, 609, 938, 3896, 543, 2818, 269, 20622, 531, 540, 15376, 568, 1813, 676, 4873, 476, 1789, 1142, 1032, 563, 763, 7681, 814, 476, 274, 6688, 540, 15376, 912, 17359, 16840, 1222, 1107, 1269, 1911, 829, 3045, 636, 454, 2690, 16155, 11727, 2564, 9439, 1369, 5245, 269, 18370, 8826, 2818, 1590, 581, 538, 1434, 7555, 267, 1489, 519, 3483, 543, 3853, 540, 519, 5948, 543, 2628, 741, 5993, 20478, 563, 10112, 1539, 622, 16840, 1222, 1107, 1269, 1911, 829, 3045, 636, 267, 6306, 689, 2875, 15376, 799, 568, 1269, 1789, 829, 3045, 636, 454, 268, 2564, 9439, 3544, 5245, 267, 15376, 13927, 1269, 1911, 454, 268, 824, 1072, 543, 24027, 1072, 4648, 689, 5245, 543, 18368, 267, 15376, 13927, 1269, 1911, 454, 268, 7606, 689, 3544, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4504, 21526, 543, 25833, 24894, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 4658, 609, 24894, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10845, 269, 1215, 1223, 789, 581, 865, 2507, 642, 3188, 995, 286, 2701, 1185, 2141, 6743, 909, 547, 519, 9457, 22419, 7146, 1631, 1352, 4121, 602, 519, 7027, 540, 27587, 1131, 2864, 723, 513, 16143, 24153, 7166, 982, 1577, 1864, 6961, 1010, 26454, 269, 634, 3020, 8247, 540, 713, 16939, 729, 547, 6146, 22255, 16037, 543, 8776, 1470, 7146, 1631, 9253, 20811, 1131, 581, 3773, 547, 519, 1592, 563, 1432, 1705, 621, 2339, 888, 2260, 5970, 596, 3367, 2614, 286, 2260, 454, 27839, 20811, 729, 1376, 1194, 547, 1265, 8776, 1470, 781, 4527, 7404, 7146, 547, 1745, 267, 950, 646, 30409, 1200, 267, 513, 21817, 547, 6474, 1200, 1378, 269, 12262, 1692, 1279, 268, 286, 2260, 454, 2260, 16524, 2614, 547, 1451, 1018, 519, 27587, 1705, 547, 707, 4116, 269, 1677, 1294, 602, 789, 786, 711, 3972, 596, 3917, 537, 267, 945, 2394, 19108, 941, 6867, 3814, 543, 1073, 539, 1304, 269, 594, 10443, 2476, 267, 596, 917, 267, 1317, 5800, 807, 8959, 803, 1510, 513, 1449, 269, 1703, 781, 2370, 4898, 789, 9327, 1405, 3972, 803, 267, 9253, 20811, 1532, 583, 789, 1185, 1100, 2601, 855, 741, 1378, 3824, 3497, 12194, 547, 5134, 6412, 596, 269, 2260, 454, 2260, 3963, 1705, 5800, 807, 3111, 596, 286, 2260, 454, 2260, 296, 729, 22255, 16037, 781, 2875, 543, 3659, 269, 594, 2507, 6785, 1932, 1454, 269, 2701, 1131, 1101, 723, 9310, 803, 1055, 267, 547, 31555, 1250, 7060, 267, 855, 594, 8969, 1352, 1131, 723, 11074, 972, 269, 2701, 1223, 723, 1336, 5906, 10467, 585, 803, 267, 607, 1352, 1705, 585, 7395, 3563, 26778, 269, 2260, 454, 2260, 10303, 596, 917, 1352, 8959, 538, 1200, 10279, 547, 1832, 519, 2229, 5483, 540, 707, 4729, 269, 2260, 454, 2260, 1692, 1705, 596, 917, 602, 286, 2260, 8776, 1470, 4280, 563, 2260, 297, 1783, 1336, 856, 538, 570, 9200, 1756, 269, 1261, 6785, 1932, 1454, 267, 1932, 267, 1317, 1010, 835, 17528, 729, 1202, 520, 4192, 7279, 269, 3571, 2055, 4547, 27421, 593, 1864, 269, 2260, 454, 2260, 306, 22273, 20601, 267, 2260, 1767, 8776, 1470, 269, 12262, 18850, 6412, 269, 22419, 7432, 1996, 22419, 267, 1210, 840, 1084, 572, 268, 2260, 3571, 15280, 1145, 2759, 1055, 269, 12262, 1432, 616, 596, 2469, 547, 798, 1631, 267, 9253, 20811, 286, 2260, 454, 2260, 6546, 5673, 593, 1018, 596, 616, 2469, 547, 798, 269, 1411, 543, 707, 29615, 696, 2828, 269, 1548, 616, 596, 2469, 547, 798, 547, 519, 589, 1203, 710, 7952, 286, 2260, 454, 2260, 31282, 621, 1394, 1354, 621, 10301, 1022, 540, 654, 5285, 8725, 781, 14252, 269, 634, 5349, 7129, 723, 3262, 519, 2262, 998, 519, 2898, 2244, 1631, 2000, 809, 269, 2260, 454, 307, 528, 1470, 9859, 9253, 20811, 781, 3007, 3564, 519, 1102, 1068, 850, 22501, 10750, 593, 799, 519, 7952, 729, 1818, 3786, 547, 519, 1101, 8498, 538, 741, 2619, 269, 2368, 13977, 2367, 543, 8695, 7146, 513, 1906, 2021, 267, 1352, 7074, 2914, 699, 818, 2719, 2933, 609, 32639, 267, 884, 1513, 267, 536, 3298, 267, 543, 1256, 31009, 543, 533, 10105, 269, 634, 1964, 540, 519, 2021, 267, 609, 741, 1453, 267, 941, 24386, 547, 25176, 563, 2260, 5445, 666, 1405, 3180, 1055, 606, 7952, 540, 5215, 256, 2260, 9253, 20811, 1486, 6479, 563, 2260, 5445, 3513, 723, 7899, 540, 948, 1354, 519, 7952, 4991, 713, 2484, 269, 3367, 269, 2260, 454, 3891, 11461, 1200, 2059, 519, 4155, 547, 1141, 513, 7708, 641, 540, 936, 513, 4627, 1004, 22415, 1117, 4724, 519, 8498, 268, 867, 2435, 1004, 267, 513, 2370, 1732, 11439, 982, 519, 1101, 267, 1739, 513, 3043, 7333, 1676, 8876, 513, 3109, 18896, 781, 2212, 3090, 563, 2260, 3719, 1141, 568, 7083, 654, 5285, 8725, 781, 7952, 257, 256, 2260, 9253, 20811, 4280, 563, 2260, 17829, 1004, 616, 519, 7952, 269, 5272, 812, 7146, 1169, 4807, 945, 814, 1880, 5578, 609, 519, 6367, 28104, 513, 4759, 540, 519, 7083, 540, 519, 8092, 781, 7952, 269, 654, 5285, 8725, 781, 4651, 3459, 519, 2259, 267, 950, 646, 6913, 4708, 538, 1010, 3338, 269, 1703, 568, 1100, 991, 547, 1832, 519, 2111, 5256, 2551, 538, 513, 7555, 7952, 267, 607, 19537, 330, 517, 3780, 1705, 269, 1358, 616, 1753, 609, 741, 3885, 1034, 540, 519, 942, 6253, 520, 538, 3294, 814, 6591, 654, 5285, 8725, 741, 20174, 269, 1358, 786, 4339, 1631, 547, 4688, 741, 1378, 5321, 543, 3885, 689, 606, 26490, 528, 269, 1358, 949, 581, 856, 333, 3518, 1229, 693, 1101, 267, 2394, 22255, 16037, 543, 589, 2784, 807, 781, 10136, 1205, 1934, 1532, 583, 799, 2427, 798, 596, 1589, 786, 4339, 9875, 286, 2260, 454, 2260, 4415, 1312, 29615, 14186, 543, 22419, 593, 707, 2427, 267, 1281, 621, 2339, 286, 2260, 454, 2260, 7069, 2427, 286, 9253, 20811, 267, 786, 596, 711, 6443, 721, 286, 2260, 454, 2260, 594, 993, 15673, 539, 267, 2260, 1352, 5143, 1864, 25473, 269, 12262, 296, 723, 1044, 20729, 539, 1532, 583, 711, 676, 519, 22419, 609, 519, 7952, 269, 1215, 1223, 594, 3391, 2576, 547, 6146, 7395, 3563, 1912, 4141, 2041, 610, 9457, 7579, 1014, 286, 2260, 454, 2260, 296, 1174, 269, 22067, 1394, 547, 707, 1560, 16927, 1589, 594, 917, 513, 1259, 547, 2490, 519, 7952, 1394, 1510, 11318, 4896, 269, 2260, 454, 2260, 12663, 7083, 654, 5285, 8725, 268, 286, 2260, 454, 2260, 10908, 611, 569, 269, 1284, 1616, 513, 4708, 14097, 609, 519, 10504, 267, 9253, 20811, 27677, 513, 21037, 269, 2260, 454, 2026, 789, 1427, 8972, 4724, 654, 5285, 8725, 781, 14500, 267, 9253, 20811, 3367, 811, 543, 811, 10136, 15292, 532, 5045, 1189, 267, 1134, 268, 28534, 1631, 267, 543, 8876, 530, 6782, 2903, 338, 540, 695, 3658, 543, 9604, 269, 1703, 941, 811, 18896, 781, 2212, 536, 22395, 267, 543, 2367, 538, 16463, 24915, 21243, 609, 519, 1482, 3090, 563, 2260, 3963, 941, 519, 1655, 268, 28534, 2367, 711, 547, 519, 5045, 267, 2260, 9253, 20811, 4280, 267, 12262, 3602, 596, 1522, 2503, 606, 4323, 689, 519, 10504, 286, 2260, 454, 2260, 2171, 1185, 519, 7952, 7265, 1229, 2282, 1141, 519, 18239, 5921, 547, 2244, 267, 4352, 649, 4769, 1405, 2503, 547, 991, 873, 693, 782, 269, 2260, 454, 2260, 4517, 596, 4769, 1405, 269, 1284, 2760, 6785, 789, 941, 972, 256, 2260, 454, 2260, 6546, 729, 519, 2856, 3562, 6542, 602, 835, 29615, 696, 267, 609, 519, 5351, 540, 513, 24153, 543, 835, 5634, 29615, 696, 267, 1223, 6861, 519, 2898, 18239, 952, 646, 865, 8359, 269, 634, 10504, 781, 1252, 1023, 616, 29134, 7308, 344, 15189, 547, 1451, 538, 835, 3992, 267, 865, 649, 786, 723, 547, 2285, 873, 1776, 269, 2260, 454, 5445, 941, 1394, 547, 654, 5285, 8725, 781, 14500, 1631, 5336, 601, 20811, 3367, 519, 7083, 29615, 696, 9361, 538, 519, 6186, 24316, 538, 8776, 1470, 781, 4055, 267, 1152, 1010, 791, 520, 1466, 5693, 3367, 762, 269, 2701, 1793, 5792, 1394, 883, 1200, 1378, 1560, 267, 2893, 909, 267, 21401, 7146, 5433, 585, 519, 1101, 942, 554, 2086, 1229, 676, 14407, 2168, 1106, 1310, 519, 5191, 540, 1373, 856, 540, 1200, 1560, 269, 2701, 7691, 602, 1352, 1185, 5433, 1100, 4250, 9522, 697, 267, 543, 1100, 1390, 8323, 2390, 13059, 269, 1403, 1200, 7060, 941, 711, 5355, 267, 1200, 6015, 538, 873, 729, 563, 9515, 3367, 8776, 1470, 849, 1694, 909, 543, 12701, 269, 1261, 5143, 654, 5285, 8725, 267, 834, 299, 523, 16037, 543, 589, 2784, 807, 616, 593, 519, 1259, 269, 634, 589, 1203, 710, 7952, 814, 1500, 3786, 607, 596, 12479, 789, 1131, 8862, 5285, 8725, 267, 1705, 596, 20053, 873, 547, 3786, 593, 602, 22501, 10750, 24350, 257, 8253, 8209, 1532, 583, 1141, 3116, 1223, 789, 5127, 1524, 865, 1082, 1004, 267, 1510, 24590, 909, 2507, 1358, 1223, 723, 8237, 909, 267, 540, 1576, 269, 1358, 723, 22419, 4799, 307, 528, 1470, 20493, 269, 834, 2791, 2811, 1565, 547, 1589, 899, 513, 24153, 7146, 594, 6415, 1565, 547, 1589, 899, 606, 29615, 696, 269, 1215, 1454, 811, 1216, 666, 596, 543, 681, 6504, 13248, 1524, 593, 602, 10750, 538, 519, 1985, 1906, 3108, 24350, 20442, 666, 4440, 1832, 621, 986, 1456, 782, 3781, 267, 855, 952, 649, 4323, 873, 972, 267, 938, 1378, 1004, 1131, 723, 547, 4339, 538, 519, 16095, 1701, 27661, 19285, 1810, 1405, 1589, 4764, 786, 798, 621, 2437, 1767, 8776, 1470, 267, 3478, 909, 543, 2469, 936, 547, 519, 3349, 533, 6150, 609, 2835, 543, 20801, 338, 269, 1703, 729, 513, 4786, 267, 2147, 547, 519, 835, 593, 519, 4585, 339, 1077, 563, 27839, 20811, 2451, 1200, 1378, 4055, 543, 4682, 547, 8776, 1470, 781, 269, 12262, 290, 727, 538, 267, 9253, 20811, 267, 2260, 646, 5143, 1200, 269, 654, 5285, 8725, 6743, 909, 607, 1352, 9411, 267, 855, 1767, 4986, 563, 30948, 616, 596, 2469, 547, 798, 267, 8776, 1470, 8119, 1352, 4280, 563, 257, 2791, 3367, 602, 22501, 16095, 519, 7952, 729, 3478, 536, 690, 3022, 1524, 538, 4799, 19285, 917, 519, 1858, 2437, 1767, 654, 5285, 8725, 269, 834, 2005, 781, 1175, 5070, 267, 1100, 1434, 585, 3395, 4376, 4799, 257, 28308, 5070, 2437, 1767, 8776, 1470, 269, 834, 2252, 649, 666, 2893, 23847, 621, 609, 1216, 268, 257, 1261, 1223, 3367, 602, 9253, 20811, 1185, 1100, 2856, 540, 1018, 646, 729, 3478, 693, 267, 543, 654, 5285, 8725, 6035, 1100, 16315, 602, 646, 6956, 269, 834, 5226, 6506, 663, 10590, 646, 6045, 267, 16116, 909, 519, 4786, 269, 1261, 4769, 1405, 1413, 693, 621, 267, 855, 3367, 621, 267, 543, 1767, 538, 20714, 766, 267, 834, 3719, 972, 568, 1100, 2707, 540, 1216, 269, 594, 4769, 1405, 3367, 2484, 2614, 538, 1022, 4287, 1247, 649, 941, 972, 1532, 583, 621, 3085, 1405, 2339, 269, 3143, 12647, 547, 21383, 883, 519, 10750, 609, 513, 2241, 1285, 23750, 3832, 4799, 288, 16938, 13678, 921, 14872, 1285, 23750, 3832, 286, 9253, 20811, 2219, 267, 855, 7283, 14980, 563, 10454, 4262, 568, 519, 14191, 2707, 540, 1216, 2437, 8776, 1470, 729, 6031, 267, 834, 8117, 972, 568, 1100, 1259, 547, 1847, 602, 1454, 1216, 547, 519, 10750, 936, 519, 18060, 532, 15113, 269, 11554, 1996, 2470, 602, 1259, 267, 596, 9364, 581, 12816, 856, 1354, 596, 9364, 6410, 513, 20870, 540, 1018, 568, 2877, 4799, 257, 5226, 6506, 663, 8119, 4280, 519, 7083, 29615, 696, 269, 834, 2791, 917, 875, 547, 2490, 8723, 5070, 883, 844, 6506, 663, 24350, 257, 8170, 1576, 2437, 1767, 8776, 1470, 269, 834, 2005, 814, 547, 581, 2620, 5070, 267, 543, 621, 814, 547, 581, 15459, 609, 1216, 267, 602, 781, 782, 269, 1879, 594, 3367, 519, 1259, 602, 5070, 8604, 547, 29186, 693, 519, 7952, 3843, 547, 15292, 2066, 621, 2507, 1809, 621, 781, 513, 3983, 2856, 19037, 269, 1403, 649, 1223, 16173, 519, 7952, 267, 875, 1131, 649, 2479, 1205, 873, 856, 286, 1284, 1131, 25793, 1662, 1776, 3196, 540, 2470, 602, 649, 7948, 1405, 1852, 4799, 257, 310, 7159, 2437, 1767, 654, 5285, 8725, 269, 834, 2171, 1810, 1405, 1616, 547, 16173, 519, 2898, 7952, 269, 6056, 540, 621, 713, 1259, 281, 20115, 540, 844, 6506, 663, 1934, 543, 972, 269, 7201, 741, 1655, 3937, 2914, 1002, 1705, 789, 3142, 2059, 286, 589, 3032, 777, 738, 286, 1284, 13404, 519, 1216, 896, 621, 7146, 621, 29826, 269, 589, 4402, 532, 15155, 286, 13560, 621, 4422, 256, 1548, 798, 596, 1589, 540, 602, 24350, 257, 299, 867, 654, 5285, 8725, 2437, 9253, 20811, 26866, 1229, 5335, 592, 3585, 267, 834, 4692, 596, 798, 602, 8119, 898, 729, 6654, 1631, 7308, 344, 941, 711, 856, 547, 6146, 4896, 563, 19285, 666, 798, 621, 2437, 1767, 654, 5285, 8725, 267, 834, 5976, 513, 2370, 948, 269, 8776, 1470, 568, 519, 1152, 24153, 594, 723, 7308, 516, 781, 711, 2614, 942, 585, 22255, 16037, 547, 1205, 1934, 269, 634, 589, 1203, 710, 7952, 786, 4734, 602, 10750, 538, 519, 6640, 269, 2060, 3728, 9640, 649, 666, 581, 972, 1354, 21554, 269, 9253, 20811, 268, 732, 596, 2469, 547, 1867, 938, 1544, 547, 519, 589, 1203, 710, 22419, 267, 865, 789, 1376, 3001, 519, 7952, 1631, 24350, 24679, 1131, 798, 803, 1100, 1434, 547, 2119, 2437, 1352, 14452, 269, 834, 307, 528, 1470, 666, 2995, 596, 4799, 257, 5445, 4465, 1405, 3972, 9253, 20811, 1022, 811, 982, 789, 1131, 803, 2437, 8776, 1470, 1767, 269, 834, 9515, 6836, 547, 24633, 873, 267, 543, 789, 9327, 1405, 6432, 269, 2334, 781, 1946 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24178, 590, 3916, 1744, 8014, 269, 4014, 646, 3884, 1405, 28370, 899, 15438, 543, 30842, 267, 646, 6157, 3652, 6634, 540, 11655, 262, 12271, 998, 1010, 6909, 13007, 607, 513, 986, 3899, 267, 2594, 16073, 267, 5152, 23116, 267, 543, 17076, 269, 1924, 1577, 781, 4685, 883, 713, 5863, 1650, 543, 3605, 1946, 930, 1256, 1289, 1864, 834, 763, 3751, 540, 31177, 14929, 15323, 292, 2381, 655, 729, 4535, 593, 5239, 476, 1704, 267, 476, 3192, 273, 267, 538, 12142, 9478, 267, 16713, 269, 1809, 621, 7012, 1405, 2394, 646, 6410, 547, 24354, 267, 12309, 602, 1010, 986, 6137, 4876, 5963, 3459, 269, 3767, 596, 1522, 4898, 267, 1018, 4010, 1281, 513, 986, 3899, 798, 286, 4270, 267, 986, 13827, 616, 15023, 543, 22407, 1107, 789, 2328, 741, 1378, 18405, 543, 1287, 2206, 873, 936, 24754, 20054, 1572, 6293, 1023, 269, 5994, 2870, 707, 1360, 1378, 6648, 543, 7900, 621, 609, 513, 6952, 344, 19820, 4730, 538, 519, 4282, 282, 602, 781, 1018, 1373, 513, 986, 3899, 568, 899, 2439, 2691, 661, 2381, 655, 1101, 3323, 986, 6137, 267, 646, 5185, 3875, 2591, 1317, 1034, 3811, 986, 13827, 941, 3979, 4892, 267, 543, 972, 14201, 1406, 1932, 1082, 3043, 986, 13827, 1818, 621, 2462, 269, 1717, 267, 1175, 899, 875, 2379, 806, 543, 27959, 525, 1590, 7753, 9465, 547, 1831, 1390, 3401, 267, 661, 2381, 655, 5249, 2182, 547, 7118, 2463, 543, 25621, 1369, 519, 15866, 3109, 9135, 269, 3414, 11428, 543, 16177, 267, 646, 9782, 1657, 891, 7496, 543, 2968, 835, 540, 519, 1034, 9565, 5515, 538, 2413, 1402, 2528, 780, 3086, 4952, 15194, 936, 513, 5318, 10806, 4904, 609, 10121, 5396, 945, 740, 648, 1169, 2262, 596, 2161, 269, 2334, 781, 2186, 540, 2147, 547, 1018, 5949, 950, 661, 2381, 655, 4646, 1010, 22850, 1895, 3957, 667, 1321, 269, 1879, 661, 2381, 655, 6591, 21239, 267, 865, 1705, 1010, 2828, 689, 667, 1321, 267, 8744, 873, 1927, 547, 2671, 741, 2648, 585, 2575, 609, 5215, 540, 19700, 1472, 519, 8608, 269, 8625, 267, 789, 2813, 20605, 16125, 602, 7604, 1078, 741, 2189, 15421, 1247, 14304, 741, 6125, 607, 15274, 780, 3719, 7227, 267, 972, 781, 811, 256, 3807, 950, 3025, 2219, 661, 2381, 655, 7948, 1405, 1205, 1022, 16830, 267, 646, 2319, 539, 909, 609, 1776, 16805, 22459, 3957, 20858, 576, 13005, 476, 276, 262, 280, 257, 547, 1106, 513, 1007, 1895, 1572, 14068, 2725, 1115, 5345, 559, 269, 901, 6422, 5918, 334, 9863, 2943, 1586, 602, 2324, 7258, 2576, 3116, 666, 1711, 9059, 538, 519, 7574, 7706, 269, 1358, 5950, 1896, 2442, 8964, 267, 11744, 602, 5698, 1419, 5012, 547, 9735, 2164, 780, 3383, 2484, 267, 661, 2381, 655, 814, 12913, 3833, 513, 2603, 1282, 1010, 12081, 607, 834, 21914, 540, 31177, 14929, 2437, 855, 1934, 616, 930, 8711, 4502, 15663, 1384, 265, 4340, 547, 1585, 2959, 267, 646, 568, 835, 540, 519, 1655, 5498, 29818, 5159, 11451, 543, 6585, 519, 13862, 607, 519, 1283, 5498, 29818, 7376, 540, 519, 476, 1220, 271, 338, 269, 2608, 14210, 540, 1010, 11549, 4548, 6603, 1948, 272, 593, 519, 9291, 4580, 12125, 910, 530, 578, 256, 2608, 1261, 781, 4465, 9118, 17758, 267, 1519, 12896, 332, 903, 267, 24211, 309, 11473, 8535, 22952, 267, 543, 9142, 22952, 269, 2608, 3571, 3310, 11498, 3564, 2575, 267, 11121, 9413, 267, 7641, 2982, 267, 2835, 267, 543, 3381, 3756, 1759, 593, 1010, 1272, 543, 26274, 780, 3528, 1631, 267, 594, 4126, 596, 1174, 1946, 930, 3277, 547, 661, 2381, 655, 607, 834, 763, 3751, 540, 31177, 14929, 1701, 4634, 1498, 646, 3085, 1405, 5957, 513, 16681, 13862, 610, 2661, 538, 513, 6264, 14500, 267, 646, 1869, 21314, 547, 25407, 9458, 5001, 609, 1010, 3532, 1913, 543, 11763, 20054, 269, 1656, 1454, 899, 1483, 3734, 10424, 3885, 267, 661, 2381, 655, 5170, 8429, 1524, 1010, 9371, 998, 29013, 824, 14971, 12372, 543, 23712, 609, 8284, 5159, 780, 1103, 3932, 267, 3314, 602, 4896, 666, 4473, 1657, 14488, 543, 3035, 30493, 952, 789, 2322, 741, 2247, 547, 621, 1107, 2436, 596, 5326, 540, 4742, 513, 12021, 22459, 267, 10196, 267, 4116, 267, 610, 6205, 269, 2142, 6273, 676, 661, 2381, 655, 781, 3460, 267, 543, 2141, 3494, 538, 3054, 1317, 4376, 568, 2009, 609, 8990, 543, 6612, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9799, 593, 476, 1704, 270, 1015, 270, 3192, 273, 538, 853, 269, 9478, 267, 17834, 267, 2136, 2276, 454, 300, 6702, 718, 23745, 631, 1430, 338, 8633, 630, 9799, 5239, 476, 1704, 267, 476, 3192, 273, 1070, 1732, 1634, 676, 1010, 3942, 2012, 661, 2381, 655, 610, 1010, 7369, 24178, 590, 3916, 1744, 8014, 267, 568, 606, 1977, 986, 3899, 267, 2594, 16073, 267, 5152, 23116, 543, 17076, 269, 661, 2381, 655, 781, 8560, 4547, 1010, 1895, 267, 667, 1321, 267, 547, 13416, 6284, 269, 1306, 1134, 607, 1373, 513, 4759, 540, 519, 24354, 22850, 1895, 667, 1321, 267, 661, 2381, 655, 568, 849, 835, 3368, 540, 519, 24354, 12048, 5577, 5918, 334, 14068, 2725, 1115, 5345, 559, 267, 609, 20858, 576, 13005, 476, 276, 262, 280, 2668, 661, 2381, 655, 568, 835, 540, 519, 1655, 5498, 29818, 5159, 538, 519, 1158, 543, 568, 519, 1655, 9513, 7376, 540, 519, 476, 1220, 271, 338, 269, 1261, 814, 1044, 7396, 543, 19486, 607, 835, 540, 519, 6574, 5159, 540, 782, 942, 676, 1082, 17476, 1519, 519, 17029, 1782, 12942, 12139, 799, 814, 19486, 1864, 476, 11025, 526, 593, 922, 1592, 540, 634, 476, 1911, 4279, 652, 20551, 540, 2353, 5384, 269, 634, 1482, 12139, 814, 10294, 1864, 634, 3751, 540, 31177, 14929, 269, 26451, 1010, 960, 609, 667, 1321, 543, 14068, 2725, 1115, 5345, 559, 267, 661, 2381, 655, 814, 6913, 4557, 1297, 14633, 11549, 4548, 593, 519, 9291, 4580, 476, 1220, 269, 1261, 814, 4421, 811, 982, 476, 5655, 2929, 13475, 543, 476, 6078, 2929, 11549, 4548, 538, 519, 2136, 853, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 5819, 19198, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6762, 1299, 25587, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 1015, 281, 634, 5295, 540, 5253, 543, 23046, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 1271, 1426, 568, 547, 707, 1072, 286, 898, 781, 711, 1175, 1945, 602, 25361, 707, 7181, 950, 596, 2811, 17237, 256, 5253, 814, 519, 1379, 547, 12115, 543, 1921, 721, 547, 519, 1158, 1472, 721, 269, 901, 3184, 786, 2263, 519, 4276, 1063, 1426, 267, 2528, 267, 543, 7067, 267, 609, 513, 1445, 593, 6805, 2853, 543, 1426, 16285, 780, 4089, 476, 272, 281, 4197, 5253, 590, 30371, 14879, 692, 2691, 649, 2911, 827, 1426, 16285, 267, 649, 1611, 519, 1318, 540, 9082, 547, 2635, 543, 15520, 3617, 1426, 3812, 998, 3235, 10999, 3280, 543, 4264, 2409, 269, 1280, 1082, 6805, 2950, 267, 713, 1797, 2348, 1852, 936, 741, 2757, 3338, 543, 7297, 267, 5452, 267, 543, 1426, 1949, 780, 7078, 281, 6056, 827, 519, 3017, 1063, 4189, 513, 3728, 32103, 554, 3711, 584, 3455, 8957, 513, 7594, 1500, 609, 5820, 6738, 538, 707, 1378, 18147, 610, 21433, 689, 2199, 6705, 269, 6904, 835, 2306, 596, 1745, 811, 4448, 547, 519, 3618, 543, 707, 2146, 2496, 4089, 476, 273, 281, 634, 17583, 9737, 5253, 543, 9177, 692, 2690, 1082, 4529, 267, 1426, 568, 1454, 811, 982, 1175, 32351, 282, 621, 6645, 513, 1650, 827, 513, 2146, 781, 1686, 267, 5389, 267, 543, 2418, 269, 1635, 8497, 543, 4687, 891, 1426, 1811, 267, 2950, 666, 2226, 4296, 547, 741, 11937, 543, 2327, 602, 741, 6561, 2729, 593, 780, 12244, 281, 9105, 707, 1920, 2818, 827, 741, 5172, 6689, 8286, 610, 10346, 5293, 1524, 689, 3105, 5481, 269, 1215, 1281, 8600, 543, 11981, 891, 6980, 1921, 873, 547, 741, 2250, 2496, 4089, 476, 274, 281, 23046, 3414, 5253, 692, 29378, 2950, 723, 1279, 6444, 519, 7067, 3601, 540, 2757, 3536, 543, 11955, 269, 3509, 2413, 10108, 267, 971, 607, 3987, 543, 2295, 2068, 267, 666, 581, 14360, 1394, 547, 8192, 5079, 269, 4825, 9506, 547, 18577, 11326, 3638, 538, 2898, 3536, 899, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 666, 948, 2061, 543, 1256, 9258, 930, 540, 891, 2175, 780, 7078, 281, 6333, 875, 1978, 4313, 3536, 267, 899, 9269, 17339, 610, 3905, 7401, 267, 666, 1118, 596, 1745, 1732, 950, 596, 2811, 7210, 269, 3767, 4952, 952, 1169, 7594, 1185, 519, 1761, 547, 12115, 707, 1560, 543, 7794, 707, 4276, 547, 519, 3047, 2439, 4089, 476, 275, 281, 20717, 995, 715, 712, 7321, 543, 5617, 784, 532, 692, 28848, 1927, 568, 513, 8471, 1259, 547, 1628, 543, 12927, 1514, 7554, 269, 1879, 649, 7772, 2685, 16138, 880, 6000, 543, 1866, 267, 649, 1711, 3255, 585, 6643, 267, 17409, 267, 543, 1565, 269, 20876, 519, 1871, 540, 782, 5686, 540, 4074, 267, 1519, 1426, 7041, 543, 3028, 267, 2337, 6536, 7071, 543, 2463, 585, 3025, 781, 7418, 780, 12244, 281, 5029, 1125, 513, 1494, 331, 3089, 12129, 609, 2828, 610, 15032, 267, 18136, 1142, 1268, 547, 3142, 513, 8670, 602, 4564, 741, 2686, 4282, 610, 1920, 2245, 269, 9181, 1018, 596, 1451, 827, 1142, 824, 781, 12583, 1247, 11981, 519, 8949, 17008, 2439, 6962, 912, 763, 2081, 649, 1332, 267, 3434, 267, 543, 2671, 1426, 666, 14751, 938, 3347, 547, 1747, 267, 1004, 267, 543, 2104, 5481, 269, 1635, 8508, 1426, 16285, 543, 9301, 519, 2956, 540, 2757, 1426, 1811, 267, 649, 666, 2087, 938, 2168, 543, 3929, 8171, 1247, 26621, 519, 2984, 543, 7326, 540, 1346, 945, 3357, 1354, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2108, 15933, 2242, 883, 1973, 267, 1973, 883, 2281, 267, 2281, 1689, 883, 1648, 799, 2242, 909, 883, 1272, 2507, 25988, 568, 1272, 1848, 1107, 26943, 2435, 17680, 582, 20539, 600, 2801, 12829, 8566, 4592, 1597, 528, 454, 22154, 960, 649, 2461, 3257, 538, 1426, 2528, 568, 6038, 7067, 960, 269, 1656, 1346, 3536, 267, 543, 5452, 267, 543, 519, 2244, 616, 519, 8069, 540, 7067, 281, 1358, 616, 519, 12115, 619, 267, 789, 616, 519, 524, 3120, 837, 553, 267, 789, 616, 519, 4915, 1004, 945, 616, 2810, 938, 4390, 547, 1413, 693, 519, 16236, 782, 1472, 721, 2507, 527, 779, 1152, 519, 5452, 267, 543, 519, 2244, 267, 543, 519, 1426, 267, 602, 723, 519, 4390, 547, 1491, 602, 16236, 267, 543, 547, 8311, 1125, 543, 7558, 621, 1848, 1107, 15011, 1177, 330, 6079, 24010, 267, 5856, 267, 2686, 11832, 18007, 523, 6519, 454, 5331, 513, 2104, 1141, 519, 2081, 649, 1332, 267, 3434, 267, 543, 5531, 1472, 1426, 3413, 8787, 938, 3347, 547, 519, 4025, 649, 2661, 267, 547, 519, 1004, 945, 3357, 1354, 721, 267, 543, 547, 2104, 5481, 269, 5994, 513, 2104, 1141, 649, 5431, 1416, 607, 519, 9759, 540, 782, 4074, 543, 5660, 782, 1004, 779, 4074, 267, 1100, 2339, 519, 1106, 621, 3217, 269, 5994, 602, 649, 7772, 2685, 16138, 880, 1142, 824, 267, 602, 649, 782, 917, 649, 4866, 267, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 7087, 2657, 1299, 23046, 1315, 5253, 590, 30371, 14879, 543, 12594, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 12650, 1005, 3203, 609, 22878, 692, 7072, 912, 5970, 596, 2479, 5129, 609 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 264, 3436, 476, 7742, 271, 6769, 1038, 1820, 19629, 333, 22998, 2580, 1439, 284, 1412, 1412, 3418, 1038, 9206, 318, 11529, 815, 8771, 1477, 825, 952, 630, 6352, 6600, 1400, 8548, 20687, 264, 2999, 476, 7742, 876, 543, 7003, 6600, 1400, 8548, 20687, 264, 3436, 476, 7742, 271, 264, 543, 1003, 318, 20657, 11736, 4939, 476, 1015, 2652, 476, 271, 6769, 1038, 1820, 3488, 269, 3299, 1439, 815, 1412, 1412, 3418, 825, 952, 630, 6352, 6600, 1400, 8548, 20687, 264, 13843, 476, 7742, 271, 264, 543, 1003, 318, 20657, 11736, 4939, 476, 1911, 2652, 476, 271, 6769, 1038, 1820, 3488, 269, 3299, 1439, 815, 1412, 1412, 3418, 825, 2132, 9206, 318, 11529, 1477, 24541, 3698, 1232, 7973, 263, 572, 4038, 267, 2246, 334, 8548, 1712, 8029, 825, 4159, 318, 14310, 815, 8771, 1477, 825, 1003, 318, 20657, 11736, 815, 476, 271, 1477, 825, 9206, 318, 11529, 815, 6936, 1477, 825, 1247, 6936, 6769, 1038, 5728, 815, 2638, 318, 11437, 263, 572, 4038, 267, 11133, 318, 20657, 11736, 3418, 1038, 952, 568, 318, 15759, 518, 263, 572, 4038, 314, 271, 281, 273, 8079, 2652, 6936, 281, 1363, 1477, 2018, 17278, 318, 16149, 815, 703, 263, 572, 4038, 314, 271, 281, 273, 29573, 2018, 17278, 14729, 792, 815, 703, 263, 572, 4038, 314, 273, 281, 277, 29573, 2018, 17278, 318, 24629, 815, 703, 263, 572, 4038, 314, 277, 281, 279, 29573, 2018, 17278, 318, 1485, 815, 703, 263, 572, 4038, 314, 279, 281, 1015, 29573, 2018, 17278, 28804, 1393, 815, 703, 263, 572, 4038, 314, 1015, 281, 1321, 29573, 2018, 17278, 20189, 712, 815, 703, 263, 572, 4038, 314, 1321, 281, 1691, 29573, 2018, 17278, 8548, 2222, 815, 703, 263, 572, 4038, 314, 1691, 281, 736, 316, 10142, 2018, 2312, 8548, 20687, 815, 1496, 15947, 2018, 5728, 19571, 8217, 815, 1496, 15947, 2018, 585, 562, 538, 5728, 314, 736, 281, 316, 6769, 3546, 5728, 19571, 815, 3921, 3799, 3418, 3546, 5728, 19571, 8217, 6910, 263, 572, 4038, 19571, 3418, 2018, 1948, 2745, 263, 572, 4038, 19571, 8217, 3418, 2018, 585, 562, 538, 5728, 19571, 8217, 6769, 3546, 2312, 19571, 815, 562, 1477, 3546, 2312, 19571, 20699, 630, 16780, 7973, 318, 16149, 910, 476, 1789, 3418, 3546, 2312, 19571, 20699, 630, 16780, 7973, 14729, 792, 910, 476, 1708, 271, 3418, 3546, 2312, 19571, 6834, 17278, 28804, 1393, 1477, 3546, 2312, 19571, 20699, 17278, 20189, 712, 1477, 3546, 2312, 19571, 6834, 17278, 318, 1485, 1477, 3546, 2312, 19571, 20699, 17278, 318, 24629, 5897, 3546, 1247, 2312, 19571, 2999, 476, 3953, 6769, 7386, 2312, 19571, 6834, 476, 4817, 1477, 3546, 1247, 2312, 19571, 3436, 476, 14695, 6769, 7386, 2312, 19571, 20699, 476, 4817, 1477, 3546, 2312, 318, 10420, 815, 669, 337, 263, 27234, 19571, 3418, 3546, 2312, 8548, 20687, 6910, 263, 27234, 318, 10420, 3418, 2018, 952, 10081, 8548, 1712, 2652, 8771, 6769, 3546, 1820, 28361, 333, 14826, 3721, 476, 272, 281, 1234, 817, 793, 3197, 20298, 3546, 1820, 3488, 8339, 21860, 263, 27234, 8548, 20687, 17903, 2018, 1948, 1133, 329, 18443, 519, 5048, 1477, 2018, 1948, 2745, 263, 16780, 7973, 28804, 1393, 3418, 2018, 1883, 815, 1496, 15947, 2018, 1883, 6910, 17301, 263, 16780, 7973, 318, 16149, 270, 1428, 264, 1341, 476, 273, 264, 1948, 16780, 11736, 1883, 476, 278, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 318, 1485, 270, 274, 264, 1341, 476, 274, 264, 1948, 16780, 11736, 1883, 476, 277, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 20189, 712, 270, 273, 264, 1341, 476, 276, 264, 1948, 16780, 11736, 1883, 476, 276, 1477, 2018, 1883, 6910, 263, 16780, 7973, 318, 24629, 1341, 476, 275, 264, 1948, 16780, 11736, 1883, 476, 275, 1477, 2018, 1883, 6910, 263, 16780, 7973, 14729, 792, 910, 476, 1220, 279, 264, 1948, 16780, 11736, 1883, 476, 274, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 8548, 2222, 270, 4335, 876, 264, 1341, 476, 274, 264, 1948, 16780, 11736, 1883, 476, 273, 1477, 2018, 1883, 6910, 17301, 263, 16780, 7973, 28804, 1393, 270, 276, 264, 1341, 476, 273, 264, 1948, 16780, 11736, 1883, 476, 272, 1477, 2018, 585, 737, 538, 2039, 12759, 31107, 264, 8029, 3546, 3688, 30648, 14682, 4981, 815, 7003, 263, 27234, 8548, 20687, 8358, 15615, 31107, 25208, 29573, 3546, 3688, 30648, 14682, 4981, 815, 2781, 559, 263, 19477, 30648, 14682, 4981, 3418, 3546, 1948, 2745, 263, 19477, 30648, 14682, 4981, 3418, 3546, 1003, 318, 2254, 318, 995, 815, 630, 4486, 25208, 316, 2608, 3688, 30648, 14682, 4981, 264, 910, 7003, 263, 27234, 8548, 20687, 3418, 3546, 1948, 2745, 16325, 318, 2254, 318, 995, 3418, 3546, 796, 329, 18443, 18380, 815, 15079, 1477, 3546, 1948, 2745, 3488, 763, 1883, 568, 4939, 338, 543, 1871, 568, 4939, 338, 262, 4939, 630, 330, 267, 4486, 25208, 8079, 3418, 3546, 1948, 6282, 525, 8675, 540, 2262, 2516, 1477, 3546, 585, 1775, 538, 2039, 31107, 25208, 316, 8029, 7386, 1948, 2745, 3488, 19617, 318, 2254, 2407, 815, 4939, 323, 543, 1775, 815, 4939, 323, 262, 4939, 630, 11133, 318, 2254, 318, 995, 267, 328, 17903, 7386, 952, 1775, 2999, 1003, 318, 2254, 318, 995, 6769, 13376, 1003, 6958, 1009, 815, 1775, 16732, 19477, 30648, 14682, 4981, 268, 272, 3418, 13376, 585, 795, 538, 2039, 263, 19477, 30648, 14682, 4981, 268, 272, 8029, 23351, 952, 1775, 538, 796, 329, 18443, 18380, 269, 12399, 28399, 4449, 3546, 796, 329, 18443, 18380, 5157, 4940, 6572, 263, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 29573, 23351, 3116, 6769, 4449, 3546, 796, 329, 18443, 18380, 5157, 316, 815, 1496, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 14963, 1477, 23351, 1948, 2745, 3488, 9281, 29486, 8008, 20298, 23351, 1948, 2745, 263, 684, 329, 18443, 18380, 3418, 7386, 3116, 6769, 13376, 1003, 6958, 1009, 815, 1003, 318, 2254, 318, 995, 16732, 19477, 30648, 14682, 4981, 268, 272, 3418, 13376, 1003, 318, 5913, 815, 630, 328, 910, 1003, 318, 2254, 318, 995, 12684, 19477, 30648, 14682, 4981, 1477, 13376, 585, 795, 538, 2039, 263, 19477, 30648, 14682, 4981, 8029, 23351, 952, 1775, 538, 796, 329, 18443, 18380, 269, 12399, 28399, 4449, 3546, 796, 329, 18443, 18380, 5157, 4940, 6572, 263, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 5991, 636, 318, 5913, 29573, 23351, 3116, 6769, 4449, 3546, 796, 329, 18443, 18380, 5157, 316, 815, 1496, 27234, 8548, 20687, 15631, 272, 18191, 5991, 636, 6958, 1009, 5991, 636, 318, 5913, 14963, 1477, 23351, 1948, 2745, 3488, 5085, 10345, 29486, 8008, 20298, 23351, 1948, 2745, 263, 684, 329, 18443, 18380, 3418, 3546, 1948, 2745, 263, 684, 329, 18443, 18380, 3418, 3546, 796, 329, 18443, 8548, 20687, 815, 1496, 15947, 3546, 585, 1775, 538, 2039, 31107, 25208, 316, 8029, 7386, 952, 7003, 263, 684, 329, 18443, 18380, 5157, 8079, 2652, 3688, 30648, 14682, 4981, 6769, 13376, 796, 329, 18443, 8548, 20687, 6910, 263, 684, 329, 18443, 18380, 5157, 6012, 271, 29573, 13376, 1642, 796, 329, 18443, 18380, 5157, 6012, 271, 15947, 7386, 1948, 2745, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 585, 795, 538, 2039, 263, 19477, 30648, 14682, 4981, 268, 272, 8029, 7386, 585, 1775, 538, 2039, 31107, 25208, 316, 8029, 13376, 796, 329, 18443, 8548, 20687, 6910, 263, 684, 329, 18443, 18380, 5157, 6012, 329, 29573, 13376, 1948, 2745, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 1948, 2745, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 3803, 8548, 20687, 815, 1412, 8339, 21860, 263, 684, 329, 18443, 8548, 20687, 3418, 3546, 952, 10081, 8548, 1712, 2652, 8771, 6769, 7386, 1820, 28361, 333, 14826, 3721, 4939, 323, 281, 1133, 329, 18443, 519, 5048, 262, 4939, 630, 273, 1341, 737, 17903, 7386, 1820, 6600, 1400, 8548, 20687, 3418, 3546, 2312, 8548, 20687, 815, 796, 329, 18443, 8548, 20687, 1477, 2018, 1003, 318, 20657, 11736, 6834, 476, 272, 1477, 2018, 9206, 318, 11529, 815, 4159, 318, 3438, 725, 6600, 1400, 8548, 20687, 267, 2246, 334, 8548, 1712, 267, 11133, 318, 20657, 11736, 267, 4148, 698, 318, 11529, 10142, 2018, 5728, 815, 3803, 8548, 20687, 1477, 17264, 1477, 1038, 3116, 6769, 2018, 1820, 19629, 333, 310, 27073, 5058, 281, 596, 2811, 5048, 3112, 581, 1232, 760, 22363, 14744, 1038, 952, 10081, 8548, 1712, 2652, 6936, 6769, 2018, 952, 568, 318, 1263, 1501, 6600, 1400, 8548, 20687, 264, 2652, 6936, 6769, 3546, 10081, 8548, 1712, 815, 8771, 1477, 1038, 952, 10081, 8548, 1712, 2652, 8771, 6769, 2018, 9206, 318, 11529, 815, 4159, 318, 3438, 725, 6600, 1400, 8548, 20687, 267, 2246, 334, 8548, 1712, 267, 11133, 318, 20657, 11736, 267, 4148, 698, 318, 11529, 3418, 2018, 2736, 5897, 825, 2132, 3803, 8548, 20687, 5897, 3698, 2638, 318, 4486, 18316, 28399, 825, 1948, 6282, 525, 3758, 952, 513, 3758, 540, 602, 2012, 3085, 1405, 4867, 608, 338, 626, 1477, 825, 2119, 6769, 1038, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 337, 266, 14744, 1038, 1820, 2891, 21886, 11736, 9517, 3758, 1336, 6707, 14744, 825, 4849, 11711, 8253, 28062, 13286, 6769, 1038, 535, 815, 1930, 6600, 32327, 2437, 342, 266, 14744, 1038, 1820, 2891, 5591, 3758, 1336, 269, 1715, 3758, 2813, 6707, 14744, 1038, 535, 25379, 14052, 825, 1247, 6936, 6769, 1038, 4159, 318, 4186, 757, 14052, 1038, 6467, 6831, 1712, 815, 4159, 16182, 318, 5443, 340, 14052, 1038, 952, 6467, 6831, 1712, 2652, 1412, 333, 262, 6769, 2018, 1007, 318, 16780, 11736, 16182, 14052, 1038, 8640, 6467, 6831, 1712, 2652, 1412, 323, 262, 6769, 2018, 18419, 318, 16780, 11736, 14052, 1038, 8640, 568, 318, 15759, 518, 263, 1873, 3558, 6831, 1712, 8029, 2018, 1496, 14310, 267, 16780, 11736, 7272, 817, 5320, 316, 815, 946, 318, 16780, 11736, 17301, 263, 1873, 3558, 6831, 1712, 17903, 2018, 952, 1267, 2652, 6936, 6769, 3546, 2132, 14238, 7272, 817, 5320, 1477, 3546, 2736, 1477, 1038, 3116, 6769, 2018, 6318, 3590, 2750, 527, 1477, 1363, 1477, 3698, 4159, 318, 4186, 757, 28399, 825, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 337, 266, 14744, 825, 14238, 7272, 817, 6919, 815, 535, 18667, 6050, 14052, 825, 14238, 7272, 817, 6919, 815, 1496, 343, 14714, 8692, 3890, 585, 1535, 538, 14238, 7272, 817, 6919, 316, 21506, 825, 952, 14238, 7272, 817, 6919, 2652, 15234, 6769, 1038, 1820, 19629, 333, 5591, 14238, 9517, 338, 1336, 14826, 14744, 825, 3116, 6769, 1038, 1820, 19629, 333, 21886, 11736, 10569, 281, 14744, 1038, 1007, 8217, 815, 1592, 263, 9792, 12759, 263, 16780, 11736, 7272, 817, 6919, 30727, 11468, 281, 273, 15947, 1038, 585, 1535, 538, 1007, 8217, 6769, 2018, 1820, 19304, 17301, 3287, 270, 273, 11924, 272, 264, 1341, 834, 264, 834, 1341, 14238, 7272, 817, 6919, 20572, 29573, 825, 535, 25379, 31476, 3698, 1007, 318, 16780, 11736, 16182, 28399, 825, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 320, 14744, 825, 1007, 6831, 1712, 12173, 815, 3403, 19629, 333, 8923, 4283, 519, 3009, 2012, 585, 519, 1007, 9517, 24097, 333, 14744, 825, 1007, 6831, 1712, 12173, 815, 1007, 6831, 1712, 12173, 31573, 14052, 825, 1247, 1007, 6831, 1712, 12173, 2652, 15234, 6769, 1038, 1007, 6831, 1712, 12173, 815, 3403, 2891, 11767, 513, 3009, 2012, 24097, 333, 14744, 825, 535, 22182, 28956, 6831, 1712, 12173, 1341, 27719, 333, 14744, 825, 1007, 16182, 815, 3403, 19629, 333, 8923, 4283, 519, 1007, 14238, 9517, 24097, 333, 14744, 825, 1007, 16182, 815, 1007, 16182, 31573, 14052, 825, 1247, 7003, 28956, 16182, 264, 11203, 476, 1321, 6769, 1038, 1007, 16182, 815, 3403, 2891, 1103, 20777, 3403, 269, 1234, 268, 10938, 14238, 1883, 24097, 333, 14744, 825, 535, 22182, 28956, 16182, 1341, 27719, 333, 14744, 825, 1820, 2891, 21886, 11736, 9517, 3773, 1701, 3418, 825, 535, 25379, 31476, 3698, 18419, 318, 16780, 11736, 28399, 825, 535, 815, 1930, 263, 657, 29624, 12459, 7765, 4433, 903, 29624, 314, 271, 3910, 32197, 1070, 834, 337, 266, 14744, 825, 14238, 7272, 817, 6919, 815, 535, 18667, 6050, 14052, 825, 14238, 7272, 817, 6919, 815, 1496, 343, 14714, 8692, 3890, 585, 1535, 538, 14238, 7272, 817, 6919, 316, 21506, 825, 1820, 19629, 333, 11767, 519, 14238, 1883, 1297, 602, 596, 6999, 547, 18419, 14744, 825, 4994, 15461, 318, 1372, 8541, 815, 3403, 3488, 20298, 825, 1820, 263, 529, 318, 15759, 518, 263, 8161, 15461, 318, 1372, 8541, 17903, 825, 1247, 630, 529, 318, 15759, 518, 263, 8161, 15461, 318, 1372, 8541, 264, 2652, 8771, 610, 1422, 1477, 19930, 14238, 16229, 318, 1410, 1235 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 274, 630, 20357, 476, 277, 568, 16883, 676, 476, 274, 1916, 15965, 14548, 676, 476, 276, 2433, 952, 519, 1297, 26088, 676, 476, 271, 610, 476, 276, 780, 763, 824, 2188, 616, 676, 7058, 543, 2119, 780, 810, 692, 4366, 275, 2433, 621, 568, 16883, 676, 476, 273, 865, 649, 1205, 476, 26237, 543, 1586, 676, 476, 273, 865, 476, 13199, 799, 13515, 585, 519, 476, 273, 269, 3767, 476, 272, 266, 273, 266, 272, 568, 476, 275, 865, 621, 568, 711, 8954, 1076, 676, 476, 274, 269, 1924, 649, 2119, 476, 276, 267, 278, 267, 1556, 267, 1724, 1862, 2394, 519, 4009, 3597, 540, 519, 1297, 1317, 952, 972, 568, 711, 1297, 1354, 519, 4009, 3597, 602, 1821, 1938, 519, 715, 9331, 21612, 630, 1492, 835, 602, 649, 1616, 547, 3815, 1125, 264, 1287, 972, 786, 581, 9039, 1310, 2094, 621, 3217, 835, 1354, 543, 835, 1310, 519, 4009, 3597, 585, 519, 1587, 547, 2285, 519, 8559, 1297, 630, 528, 1312, 693, 519, 1647, 952, 519, 715, 9331, 21612, 568, 513, 4009, 1040, 21453, 267, 865, 21762, 540, 476, 13199, 568, 4010, 476, 1556, 630, 6518, 568, 6305, 264, 865, 476, 13199, 815, 476, 1556, 265, 1556, 269, 1284, 723, 2907, 782, 938, 6305, 2188, 267, 865, 1100, 991, 547, 2119, 519, 824, 22136, 2433, 476, 4366, 275, 815, 476, 273, 265, 273, 265, 1556, 265, 1556, 630, 4754, 711, 1205, 1732, 2020, 25838, 2433, 711, 16883, 676, 476, 273, 855, 476, 273, 266, 275, 266, 274, 815, 476, 280, 568, 16883, 676, 476, 274, 9847, 3947, 476, 10037, 543, 676, 476, 274, 1586, 543, 1586, 1862, 2965, 476, 25838, 284, 274, 265, 274, 265, 274, 265, 274, 265, 274, 780, 3383, 972, 568, 1100, 1455, 3815, 1063, 476, 4366, 275, 543, 476, 25838, 269, 1924, 519, 6824, 476, 4366, 275, 270, 25838, 666, 711, 581, 16866, 269, 0, 258, 1323, 16988, 600, 547, 12384, 18741, 10309, 23586, 692, 1012, 476, 272, 1323, 16988, 600, 568, 3160, 547, 875, 1082, 12384, 18741, 10309, 2496, 2162, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 12384, 18741, 10309, 692, 7462, 13129, 901, 20593, 614, 1384, 2304, 16988, 600, 543, 12384, 18741, 10309, 1312, 616, 519, 8092, 6482, 1770, 269, 14424, 2418, 1063, 1770, 1323, 16988, 600, 609, 824, 8092, 6482, 4559, 269, 1411, 666, 849, 5173, 824, 8092, 7503, 4559, 602, 616, 2139, 593, 519, 2824, 4216, 267, 2348, 593, 713, 1482, 2985, 780, 2304, 16988, 600, 547, 12384, 18741, 10309, 7503, 2636, 596, 547, 6460, 1871, 1063, 1323, 16988, 600, 547, 12384, 18741, 10309, 3362, 269, 3807, 4283, 519, 1323, 16988, 600, 1871, 883, 519, 3403, 4216, 267, 519, 1062, 786, 8850, 5173, 12384, 18741, 10309, 1871, 269, 476, 272, 1323, 16988, 600, 538, 12384, 18741, 10309, 286, 769, 6310, 2474, 267, 476, 272, 1323, 16988, 600, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 12384, 18741, 10309, 780, 2414, 7503, 1871, 1063, 1323, 16988, 600, 547, 12384, 18741, 10309, 267, 1175, 9062, 519, 1871, 676, 519, 7503, 5223, 269, 2290, 1323, 16988, 600, 568, 3160, 547, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 12384, 18741, 10309, 267, 865, 946, 713, 2241, 4542, 547, 6460, 910, 692, 763, 1871, 538, 12384, 18741, 10309, 568, 3160, 547, 519, 1871, 540, 1323, 16988, 600, 16611, 676, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 780, 306, 13645, 18741, 10309, 815, 1323, 16988, 600, 2608, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 16963, 2690, 9819, 267, 1934, 781, 875, 547, 6460, 476, 1015, 1323, 16988, 600, 547, 12384, 18741, 10309, 1210, 519, 4542, 1657, 910, 692, 1015, 1323, 16988, 600, 815, 630, 1015, 2608, 476, 271, 269, 1822, 24879, 7597, 272, 3393, 264, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 276, 12384, 18741, 10309, 454, 2304, 16988, 600, 12384, 18741, 10309, 630, 338, 336, 5998, 264, 23586, 454, 272, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 476, 272, 1323, 16988, 600, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 277, 12384, 18741, 10309, 454, 273, 476, 272, 269, 24783, 3066, 292, 268, 276, 476, 273, 1323, 16988, 600, 815, 476, 272, 269, 24783, 3066, 292, 268, 276, 12384, 18741, 10309, 454, 274, 476, 273, 269, 23669, 31973, 292, 268, 276, 476, 274, 1323, 16988, 600, 815, 476, 273, 269, 23669, 31973, 292, 268, 276, 12384, 18741, 10309, 454, 275, 476, 273, 269, 6858, 277, 6812, 292, 268, 276, 476, 275, 1323, 16988, 600, 815, 476, 273, 269, 6858, 277, 6812, 292, 268, 276, 12384, 18741, 10309, 454, 276, 476, 274, 269, 24833, 278, 1839, 292, 268, 276, 476, 276, 1323, 16988, 600, 815, 476, 274, 269, 24833, 278, 1839, 292, 268, 276, 12384, 18741, 10309, 454, 277, 476, 275, 269, 26522, 9262, 292, 268, 276, 476, 277, 1323, 16988, 600, 815, 476, 275, 269, 26522, 9262, 292, 268, 276, 12384, 18741, 10309, 454, 278, 476, 275, 269, 6924, 275, 27888, 292, 268, 276, 476, 278, 1323, 16988, 600, 815, 476, 275, 269, 6924, 275, 27888, 292, 268, 276, 12384, 18741, 10309, 454, 279, 476, 276, 269, 31874, 1626, 292, 268, 276, 476, 279, 1323, 16988, 600, 815, 476, 276, 269, 31874, 1626, 292, 268, 276, 12384, 18741, 10309, 454, 280, 476, 277, 269, 28873, 25134, 292, 268, 276, 476, 280, 1323, 16988, 600, 815, 476, 277, 269, 28873, 25134, 292, 268, 276, 12384, 18741, 10309, 454, 1015, 476, 277, 269, 7597, 272, 3393, 292, 268, 276, 476, 1015, 1323, 16988, 600, 815, 476, 277, 269, 7597, 272, 3393, 292, 268, 276, 12384, 18741, 10309, 454, 1556, 476, 278, 269, 11740, 276, 4817, 292, 268, 276, 476, 1556, 1323, 16988, 600, 815, 476, 278, 269, 11740, 276, 4817, 292, 268, 276, 12384, 18741, 10309, 454, 1321, 476, 279, 269, 271, 3066, 10619, 292, 268, 276, 476, 1321, 1323, 16988, 600, 815, 476, 279, 269, 271, 3066, 10619, 292, 268, 276, 12384, 18741, 10309, 454, 1724, 476, 279, 269, 277, 7176, 279, 5952, 292, 268, 276, 476, 1724, 1323, 16988, 600, 815, 476, 279, 269, 277, 7176, 279, 5952, 292, 268, 276, 12384, 18741, 10309, 454, 1691, 476, 280, 269, 3607, 279, 6734, 292, 268, 276, 476, 1691, 1323, 16988, 600, 815, 476, 280, 269, 3607, 279, 6734, 292, 268, 276, 12384, 18741, 10309, 454, 1428, 476, 271, 269, 1822, 1911, 4391, 272, 4037, 476, 1428, 1323, 16988, 600, 815, 476, 271, 269, 1822, 1911, 4391, 272, 4037, 12384, 18741, 10309, 454, 1626, 476, 271, 269, 1822, 13040, 6187, 274, 273, 476, 1626, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13040, 6187, 274, 273, 12384, 18741, 10309, 454, 1704, 476, 271, 269, 1822, 13647, 4037, 275, 4792, 476, 1704, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13647, 4037, 275, 4792, 12384, 18741, 10309, 454, 1240, 476, 271, 269, 1822, 6344, 4510, 277, 272, 476, 1240, 1323, 16988, 600, 815, 476, 271, 269, 1822, 6344, 4510, 277, 272, 12384, 18741, 10309, 454, 866, 476, 271, 269, 1822, 14096, 15389, 4649, 476, 866, 1323, 16988, 600, 815, 476, 271, 269, 1822, 14096, 15389, 4649, 12384, 18741, 10309, 454, 736, 476, 271, 269, 1822, 15836, 279, 3066, 476, 736, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15836, 279, 3066, 12384, 18741, 10309, 454, 2641, 476, 271, 269, 1822, 9610, 26392, 3393, 476, 2641, 1323, 16988, 600, 815, 476, 271, 269, 1822, 9610, 26392, 3393, 12384, 18741, 10309, 454, 2420, 476, 271, 269, 1822, 15704, 21076, 280, 476, 2420, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15704, 21076, 280, 12384, 18741, 10309, 454, 2537, 476, 271, 269, 1822, 14631, 3445, 274, 3374, 476, 2537, 1323, 16988, 600, 815, 476, 271, 269, 1822, 14631, 3445, 274, 3374, 12384, 18741, 10309, 454, 2190, 476, 271, 269, 1822, 8182, 6795, 275, 279, 476, 2190, 1323, 16988, 600, 815, 476, 271, 269, 1822, 8182, 6795, 275, 279, 12384, 18741, 10309, 454, 1839, 476, 271, 269, 1822, 15757, 30525, 1839, 476, 1839, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15757, 30525, 1839, 12384, 18741, 10309, 454, 2918, 476, 271, 269, 1822, 15876, 280, 6507, 278, 476, 2918, 1323, 16988, 600, 815, 476, 271, 269, 1822, 15876, 280, 6507, 278, 12384, 18741, 10309, 454, 2767, 476, 271, 269, 1822, 5197, 5780, 280, 1428, 476, 2767, 1323, 16988, 600, 815, 476, 271, 269, 1822, 5197, 5780, 280, 1428, 12384, 18741, 10309, 454, 2764, 476, 271, 269, 1822, 6942, 11740, 277, 476, 2764, 1323, 16988, 600, 815, 476, 271, 269, 1822, 6942, 11740, 277, 12384, 18741, 10309, 454, 3066, 476, 271, 269, 1822, 3707, 32180, 4962, 476, 3066, 1323, 16988, 600, 815, 476, 271, 269, 1822, 3707, 32180, 4962, 12384, 18741, 10309, 454, 1789, 476, 271, 269, 1822, 1220, 278, 6246, 276, 476, 1789, 1323, 16988, 600, 815, 476, 271, 269, 1822, 1220, 278, 6246, 276, 12384, 18741, 10309, 454, 4029, 476, 271, 269, 1822, 21709, 275, 4097, 4817, 476, 4029, 1323, 16988, 600, 815, 476, 271, 269, 1822, 21709, 275, 4097, 4817, 12384, 18741, 10309, 454, 3953, 476, 271, 269, 1822, 20969, 14695, 275, 476, 3953, 1323, 16988, 600, 815, 476, 271, 269, 1822, 20969, 14695, 275, 12384, 18741, 10309, 454, 3451, 476, 271, 269, 1822, 13136, 279, 1704, 5952, 476, 3451, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13136, 279, 1704, 5952, 12384, 18741, 10309, 454, 4097, 476, 271, 269, 1822, 25375, 2004, 280, 274, 476, 4097, 1323, 16988, 600, 815, 476, 271, 269, 1822, 25375, 2004, 280, 274, 12384, 18741, 10309, 454, 3374, 476, 271, 269, 1822, 23056, 1220, 4037, 476, 3374, 1323, 16988, 600, 815, 476, 271, 269, 1822, 23056, 1220, 4037, 12384, 18741, 10309, 454, 3607, 476, 271, 269, 1822, 13301, 8660, 273, 273, 476, 3607, 1323, 16988, 600, 815, 476, 271, 269, 1822, 13301, 8660, 273, 273, 12384, 18741, 10309, 454, 4391, 476, 271, 269, 1822, 26316, 6812, 274, 4792, 476, 4391, 1323, 16988, 600, 815, 476, 271, 269, 1822, 26316, 6812, 274, 4792, 12384, 18741, 10309, 454, 4343, 476, 271, 269, 1822, 22724, 22550, 272, 476, 4343, 1323, 16988, 600, 815, 476, 271, 269, 1822, 22724, 22550, 272, 12384, 18741, 10309, 454, 4375, 476, 271, 269, 1822, 18605, 280, 5780, 4649, 476, 4375, 1323, 16988, 600, 815, 476, 271, 269, 1822, 18605, 280, 5780, 4649, 12384, 18741, 10309, 454, 2412, 476, 271, 269, 1822, 29045, 4792, 279, 476, 2412, 1323, 16988, 600, 815, 476, 271, 269, 1822, 29045, 4792, 279, 12384, 18741, 10309, 454, 6078, 476, 271, 269, 1822, 28638, 4097, 280, 3393, 476, 6078, 1323, 16988, 600, 815, 476, 271, 269, 1822, 28638, 4097, 280, 3393, 12384, 18741, 10309, 454, 5655, 476, 271, 269, 1822, 27005, 31239, 280, 476, 5655, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27005, 31239, 280, 12384, 18741, 10309, 454, 6246, 476, 271, 269, 1822, 27868, 278, 3953, 3374, 476, 6246, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27868, 278, 3953, 3374, 12384, 18741, 10309, 454, 4510, 476, 271, 269, 1822, 29848, 275, 2537, 279, 476, 4510, 1323, 16988, 600, 815, 476, 271, 269, 1822, 29848, 275, 2537, 279, 12384, 18741, 10309, 454, 3393, 476, 271, 269, 1822, 22145, 12893, 1839, 476, 3393, 1323, 16988, 600, 815, 476, 271, 269, 1822, 22145, 12893, 1839, 12384, 18741, 10309, 454, 5379, 476, 271, 269, 1822, 28906, 3199, 277, 278, 476, 5379, 1323, 16988, 600, 815, 476, 271, 269, 1822, 28906, 3199, 277, 278, 12384, 18741, 10309, 454, 5325, 476, 271, 269, 1822, 27183, 5392, 279, 1428, 476, 5325, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27183, 5392, 279, 1428, 12384, 18741, 10309, 454, 4366, 476, 271, 269, 1822, 25834, 6245, 277, 476, 4366, 1323, 16988, 600, 815, 476, 271, 269, 1822, 25834, 6245, 277, 12384, 18741, 10309, 454, 5392, 476, 271, 269, 1822, 27628, 6434, 272, 4962, 476, 5392, 1323, 16988, 600, 815, 476, 271, 269, 1822, 27628, 6434, 272, 4962, 12384, 18741, 10309, 454, 2004, 476, 271, 269, 1822, 31172, 6872, 273, 276, 476, 2004, 1323, 16988, 600, 815, 476, 271, 269, 1822, 31172, 6872, 273, 276, 12384, 18741, 10309, 454, 7906, 476, 271, 269, 1822, 30130, 28091, 4817, 476, 7906, 1323, 16988, 600, 815, 476, 271, 269, 1822, 30130, 28091, 4817, 12384, 18741, 10309, 454, 7367, 476, 271, 269, 1822, 31003, 280, 4649, 275, 476, 7367, 1323, 16988, 600, 815, 476, 271, 269, 1822, 31003, 280, 4649, 275, 12384, 18741, 10309, 454, 7871, 476, 271, 269, 1822, 30500, 5038, 277, 5952, 476, 7871, 1323 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1022, 2185, 15654, 10116, 569, 3732, 2164, 693, 602, 4087, 269, 634, 8247, 540, 713, 1689, 568, 547, 2569, 667, 21990, 4598, 543, 1683, 811, 12581, 1072, 4027, 543, 547, 2539, 1761, 2860, 267, 10285, 267, 543, 11095, 4220, 630, 292, 5183, 267, 476, 1220, 277, 320, 1040, 1677, 3313, 519, 6753, 1369, 519, 3892, 1062, 1141, 519, 5207, 2157, 540, 8946, 16039, 543, 22743, 2026, 616, 4397, 547, 2049, 267, 519, 14329, 3340, 1216, 1949, 547, 2932, 606, 19461, 17392, 3590, 16214, 269, 19461, 17392, 3590, 10159, 340, 725, 616, 2090, 602, 6218, 8946, 300, 543, 670, 8150, 2157, 693, 1585, 2798, 1369, 519, 3892, 1062, 269, 634, 2164, 689, 891, 2090, 2059, 609, 4540, 10220, 5464, 1344, 786, 581, 1031, 547, 3313, 2104, 10220, 5464, 6753, 563, 8016, 305, 585, 2985, 476, 6321, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 7043, 12910, 476, 273, 24046, 17183, 4826, 9615, 14329, 2201, 5130, 476, 276, 267, 476, 1220, 277, 267, 16501, 7550, 519, 7043, 12910, 476, 273, 24046, 17183, 4826, 9615, 14329, 630, 299, 307, 273, 2464, 310, 15045, 1040, 634, 700, 307, 273, 2464, 310, 15045, 10039, 547, 1857, 1216, 1949, 602, 946, 2627, 1216, 610, 15780, 896, 519, 1463, 3310, 540, 2627, 1216, 269, 634, 3483, 540, 519, 700, 307, 273, 2464, 310, 15045, 568, 547, 2569, 2068, 11841, 2404, 609, 15303, 30950, 29899, 543, 824, 23633, 14471, 538, 6704, 1216, 269, 634, 700, 307, 273, 2464, 310, 15045, 9360, 4540, 6042, 676, 13389, 3606, 15303, 30950, 29899, 2126, 4170, 547, 2362, 1981, 1949, 1759, 593, 4890, 5464, 1239, 540, 2707, 1216, 2298, 269, 634, 700, 307, 273, 2464, 310, 15045, 849, 3568, 14074, 547, 11574, 4220, 689, 20114, 8737, 1216, 4859, 6703, 269, 4826, 1949, 609, 20114, 8737, 1216, 4859, 23854, 616, 2838, 547, 3382, 519, 13111, 610, 1521, 519, 13111, 11166, 547, 519, 3892, 1062, 547, 3035, 30737, 10474, 543, 5924, 8851, 540, 693, 2547, 476, 273, 2000, 690, 15303, 30950, 29899, 267, 476, 274, 2000, 690, 16902, 731, 807, 267, 543, 476, 275, 2000, 690, 3644, 630, 292, 5183, 267, 476, 1220, 277, 321, 1040, 7053, 267, 547, 2327, 602, 1949, 2226, 15451, 4027, 607, 789, 1491, 3268, 547, 2569, 519, 5250, 540, 24766, 11679, 519, 700, 307, 273, 2464, 310, 15045, 3340, 1216, 1949, 602, 6069, 547, 12189, 741, 771, 26529, 1184, 547, 2569, 8946, 16039, 543, 22743, 2026, 547, 2708, 519, 4540, 2157, 540, 771, 26529, 602, 519, 1062, 2488, 269, 7010, 616, 2838, 547, 3715, 513, 25162, 267, 799, 568, 519, 1062, 779, 9803, 10865, 3328, 15451, 30737, 10474, 269, 1403, 519, 25162, 568, 811, 982, 519, 2838, 30737, 10474, 540, 476, 274, 2000, 690, 8851, 585, 16902, 731, 807, 543, 476, 275, 2000, 690, 8851, 585, 8290, 267, 519, 1062, 949, 2015, 13302, 519, 2179, 540, 21149, 656, 3773, 610, 519, 3346, 942, 267, 610, 19249, 824, 771, 26529, 2853, 547, 2539, 8946, 300, 543, 670, 8150, 2157, 630, 292, 5183, 267, 476, 1220, 277, 321, 1040, 1133, 29970, 2552, 3133, 656, 16424, 14329, 476, 273, 2201, 4864, 476, 2420, 267, 476, 1220, 276, 267, 16501, 6069, 519, 2034, 540, 1079, 1133, 29970, 2552, 3133, 656, 16424, 16390, 630, 10813, 17307, 273, 1070, 799, 786, 2154, 5464, 585, 513, 1592, 540, 476, 2918, 3114, 17694, 16143, 547, 581, 1459, 538, 6704, 1216, 269, 634, 3483, 540, 519, 772, 13967, 305, 273, 568, 547, 1020, 1239, 593, 519, 12136, 540, 891, 17694, 538, 6704, 1216, 267, 519, 2450, 540, 519, 2551, 6534, 547, 891, 17694, 267, 543, 519, 2157, 540, 519, 4598, 269, 901, 1344, 786, 581, 1031, 2059, 609, 1072, 2360, 1344, 547, 3313, 2436, 610, 711, 6704, 1216, 4441, 1058, 581, 3964, 585, 891, 17694, 269, 2353, 2146, 1216, 1949, 543, 1875, 20675, 1304, 267, 1875, 268, 10919, 640, 1216, 1949, 7674, 811, 982, 476, 1015, 267, 1822, 1004, 786, 581, 2838, 547, 6895, 267, 1247, 513, 11347, 3732, 540, 476, 8517, 2146, 1216, 1949, 543, 1875, 20675, 1304, 267, 1875, 268, 10919, 640, 1216, 1949, 7674, 1447, 982, 476, 1015, 267, 1822, 1004, 786, 723, 547, 4163, 856, 5464, 269, 634, 5464, 568, 6069, 547, 2253, 538, 476, 1220, 278, 269, 9521, 519, 1101, 772, 13967, 305, 630, 6518, 568, 711, 5941, 1657, 1070, 519, 772, 13967, 305, 273, 786, 1331, 17694, 602, 616, 2808, 1761, 24766, 11679, 543, 585, 799, 5464, 786, 581, 5342, 538, 519, 3892, 1062, 269, 1452, 17694, 1331, 519, 6491, 4592, 26952, 715, 5991, 527, 549, 810, 26817, 14007, 8533, 630, 21254, 12788, 1070, 715, 5991, 527, 549, 810, 1673, 574, 14007, 8533, 454, 8016, 305, 585, 2985, 476, 6872, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 630, 21254, 7246, 1070, 715, 5991, 527, 549, 810, 26817, 5991, 1532, 583, 2643, 8533, 630, 21254, 10621, 1070, 715, 5991, 527, 549, 810, 26817, 5991, 1790, 1886, 2643, 8533, 630, 21254, 5183, 1070, 715, 5991, 527, 549, 810, 2173, 996, 1803, 628, 2643, 8533, 630, 301, 10933, 288, 264, 543, 715, 5991, 527, 549, 810, 1790, 10455, 1503, 26593, 630, 23259, 312, 305, 1040, 21193, 4592, 26952, 616, 2808, 1761, 1480, 15910, 11077, 267, 543, 27020, 7246, 814, 1044, 3254, 547, 1106, 538, 8392, 3990, 610, 8392, 3133, 730, 1216, 607, 513, 1267, 540, 771, 26529, 630, 292, 5183, 267, 476, 1220, 276, 321, 1040, 4826, 8232, 5829, 6034, 1161, 543, 16572, 4014, 711, 513, 1007, 3390, 267, 3354, 814, 1831, 14063, 547, 519, 1216, 10626, 2872, 2094, 519, 2621, 540, 5181, 476, 1556, 267, 476, 1220, 272, 269, 634, 1761, 585, 2067, 267, 23139, 267, 543, 3483, 995, 12526, 540, 1216, 3761, 814, 1044, 1459, 585, 5756, 2436, 538, 519, 1106, 540, 16767, 267, 17160, 267, 29908, 540, 6757, 6464, 267, 610, 6411, 540, 642, 663, 16117, 269, 1280, 1383, 267, 538, 2904, 476, 1960, 279, 267, 5518, 22735, 9783, 30814, 6034, 633, 630, 11520, 291, 264, 476, 8287, 602, 13890, 513, 3609, 593, 2565, 5989, 4027, 267, 1519, 938, 4182, 779, 1216, 7727, 269, 1717, 267, 621, 729, 711, 2394, 1310, 5181, 476, 1556, 267, 476, 1220, 272, 267, 602, 519, 1216, 2872, 5963, 5059, 593, 519, 13438, 540, 519, 4182, 779, 1216, 7727, 547, 3354, 6937, 269, 769, 6284, 540, 891, 2152, 267, 5518, 17312, 9896, 5398, 2657, 8232, 543, 645, 3999, 19587, 1143, 16721, 1563, 1145, 543, 15863, 2920, 540, 476, 1220, 273, 630, 1492, 968, 289, 3999, 19587, 1143, 2920, 14615, 883, 1876, 538, 4873, 476, 1220, 273, 630, 12195, 13040, 268, 6642, 1040, 7201, 519, 4170, 540, 519, 645, 3999, 19587, 1143, 2920, 267, 6704, 1216, 20848, 616, 2838, 547, 5965, 13438, 10526, 543, 6595, 3210, 4566, 585, 1216, 1949, 7674, 693, 2547, 476, 274, 267, 4968, 1004, 269, 2878, 265, 7305, 476, 273, 268, 273, 26564, 519, 1883, 10421, 4433, 264, 540, 5313, 3652, 543, 6042, 689, 513, 3892, 1062, 5133, 269, 3557, 27943, 15789, 3557, 9431, 3292, 602, 2232, 1216, 3892, 1949, 666, 4268, 3648, 269, 769, 2489, 1034, 2829, 723, 27152, 543, 9431, 4170, 602, 3382, 630, 272, 264, 1374, 267, 4070, 267, 5106, 267, 543, 5826, 540, 3892, 1949, 267, 630, 273, 264, 3444, 8410, 3825, 1852, 267, 543, 630, 274, 264, 21818, 2472, 14468, 585, 946, 5083, 340, 656, 547, 1977, 2817, 11621, 4659, 270, 22085, 293, 4139, 630, 3198, 10485, 270, 10064, 293, 264, 4441, 476, 2568, 543, 476, 8618, 269, 5015, 267, 1034, 2829, 723, 7550, 513, 21818, 3009, 602, 9598, 919, 519, 2010, 540, 2326, 602, 666, 581, 1031, 585, 23350, 21818, 267, 4352, 891, 9479, 616, 711, 3622, 24451, 689, 513, 1533, 27152, 610, 9431, 29459, 855, 2864, 616, 8045, 693, 519, 2199, 10315, 543, 5924, 18513, 1377, 563, 8016, 305, 585, 2985, 476, 10602, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 19372, 30997, 2962, 5773, 7638, 1518, 543, 19472, 519, 670, 3722, 9573, 4643, 19372, 2594, 5329, 543, 5539, 670, 3722, 9573, 568, 513, 1981, 2359, 1982, 1317, 20848, 946, 621, 547, 1101, 2697, 543, 6218, 10898, 270, 5142, 802, 267, 543, 1287, 547, 3715, 1852, 1949, 547, 7413, 519, 12136, 543, 2360, 540, 13685, 602, 949, 1764, 519, 3106, 543, 2298, 540, 519, 1216, 269, 589, 1216, 10626, 666, 3442, 547, 4019, 670, 3722, 9573, 547, 1022, 835, 968, 15263, 892, 1765, 328, 4318, 1421, 24659, 2889, 339, 1254, 267, 2126, 267, 610, 519, 3892, 1062, 269, 2368, 20848, 949, 2907, 723, 1434, 24659, 4027, 3292, 543, 1434, 1852, 936, 2126, 6703, 267, 543, 865, 949, 2070, 519, 3892, 1062, 607, 513, 10862, 269, 1717, 267, 1317, 670, 3722, 9573, 568, 513, 14942, 1935, 547, 1062, 2359, 602, 2337, 519, 10626, 547, 2697, 968, 327, 1794, 1841, 892, 2417, 25318, 267, 621, 1568, 3833, 1134, 607, 513, 3102, 1062, 1544, 267, 689, 2707, 547, 7148, 269, 1280, 5021, 2640, 267, 621, 568, 1271, 547, 4734, 519, 3375, 547, 1367, 20848, 543, 711, 581, 1932, 1095, 20696, 827, 875, 547, 4019, 670, 3722, 9573, 630, 293, 3072, 2006, 1696, 620, 1421, 476, 1220, 276, 1040, 589, 5063, 6192, 1788, 23032, 676, 519, 32217, 23354, 3194, 7690, 630, 293, 3072, 2006, 1696, 620, 1421, 476, 1220, 276, 264, 6257, 670, 3722, 9573, 12681, 2090, 5342, 609, 1614, 20848, 685, 3892, 1949, 1765, 15124, 518, 595, 32385, 10620, 4826, 3718, 267, 595, 32385, 10620, 267, 11882, 282, 2836, 326, 776, 4826, 3718, 267, 2836, 326, 776, 267, 22598, 282, 543, 519, 4975, 540, 31231, 1777, 267, 31231, 1777, 267, 6115, 269, 9751, 11925, 941, 4371, 693, 1142, 10626, 4087, 547, 2491, 670, 3722, 9573, 16166, 543, 547, 20006, 1646, 540, 519, 10626, 779, 670, 3722, 9573, 1544, 269, 3962, 10283, 10626, 4646, 513, 670, 3722, 9573, 2319, 547, 2417, 1020, 519, 670, 3722, 9573, 1544, 543, 547, 3391, 922, 6388, 269, 634, 3804, 729, 585, 1142, 10626, 547, 2936, 741, 670, 3722, 9573, 1544, 936, 513, 476, 1321, 18881, 1974, 1282, 799, 1978, 10512, 543, 1216, 2298, 6724, 1131, 581, 16913, 269, 634, 10283, 20848, 1336, 602, 519, 6388, 540, 670, 3722, 9573, 547, 1216, 3761, 3892, 729, 15164, 543, 4052, 267, 855, 602, 519, 942, 543, 4199, 4170, 941, 3152, 982, 8385, 17191, 269, 634, 1646, 540, 519, 670, 3722, 9573, 1544, 729, 3730, 538, 28798, 538, 593, 519, 1034, 1271, 4220, 543, 1184, 8060, 585, 1216, 2298, 2359, 269, 10738, 519, 476, 1321, 18881, 12681, 1353, 1974, 267, 9039, 540, 519, 1614, 10283, 20848, 2919, 513, 4628, 8045, 670, 3722, 9573, 1982, 585, 13995, 269, 589, 3476, 1974, 540, 942, 543, 5924, 513, 3152, 4199, 7029, 729, 2693, 547, 581, 2838, 1354, 519, 670, 3722, 9573, 1949, 1131, 581, 2808, 4628, 8045, 267, 2347, 267, 543, 5909, 16666, 269, 13340, 476, 273, 268, 273, 6257, 1079, 824, 670, 3722, 9573, 2013, 2090, 538, 1469, 267, 585, 21388, 267, 7147, 267, 543, 8738, 19213, 267, 19051, 269, 22085, 293, 4139, 2488, 670, 3722, 9573, 13995, 547, 1216, 20848, 538, 519, 2136, 2276, 998, 922, 670, 3722, 9573, 268, 12010, 271, 14261, 1982, 269, 634, 1982, 5161, 540, 3791, 18407, 19027, 540, 10626, 670, 3722, 9573, 4566, 267, 5916, 609, 513, 14261, 609, 18869, 476, 12010, 271, 4441, 269, 1717, 267, 10073, 540, 519, 670, 3722, 9573, 1935, 991, 711, 581, 13615, 18005, 547, 971, 11889, 3292, 269, 670, 3722, 9573, 1223, 581, 606, 7533, 851, 540, 513, 10626, 779, 3892, 1062, 2359, 1544, 267, 2901, 538, 1840, 547, 610, 538, 9114, 340, 540, 717, 1220, 630, 326, 1508, 519, 8101, 10486, 1063, 519, 1079, 3292, 1040, 769, 1880, 267, 670, 3722, 9573, 568, 3730, 585, 5355, 513, 10626, 779, 4656, 540, 922, 4540, 12240, 543, 875, 621, 666, 1732, 4383, 519, 1344, 454, 8016, 305, 585, 2985, 476, 6507, 454, 7804, 9722, 4826, 17392, 7010, 281, 30487, 543, 26805, 24093, 8659, 1369, 267, 543, 585, 5009, 2594, 5329, 543, 8989, 269, 31379, 25077, 602, 670, 3722, 9573, 568, 2370, 811, 982, 5265, 5665, 513, 3892, 1062, 269, 11569, 267, 972, 949, 581, 2370, 1871, 3773, 538, 519, 2136, 2276, 1141, 20848, 616, 5266, 8185, 14931, 3379, 547, 824, 2477, 1141, 670, 3722, 9573, 814, 1044, 6707, 7550, 630, 7945, 607, 5245, 267, 799, 814, 1100, 3084, 1216, 2298, 4441, 1040, 1717, 267, 15156, 25077, 602, 519, 851, 540, 670, 3722, 9573, 602, 1034, 20848, 798, 711, 2907, 4497, 538, 568, 10992, 547, 13182, 602, 3527, 616, 2324 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 27018, 5440, 1108, 256, 901, 7936, 540, 6128, 1522, 3280, 7294, 267, 855, 1810, 1405, 5855, 910, 649, 3513, 2736, 621, 1524, 1927, 543, 2263, 922, 4241, 1158, 269, 5994, 1373, 2111, 547, 1174, 5546, 899, 2760, 1354, 267, 12423, 1007, 2081, 547, 4766, 741, 7252, 543, 3601, 269, 2334, 781, 1018, 11186, 23289, 2636, 721, 547, 798, 2439, 4131, 781, 1376, 609, 1945, 2241, 281, 4952, 8066, 513, 3440, 538, 707, 1688, 269, 3767, 1589, 827, 513, 6366, 4062, 540, 1957, 269, 5637, 723, 1114, 7516, 543, 3601, 267, 1318, 286, 769, 6128, 267, 891, 3604, 948, 721, 30387, 543, 1353, 3615, 1759, 593, 741, 4162, 269, 1284, 1289, 713, 1184, 834, 9008, 1108, 2437, 799, 9388, 609, 519, 3601, 540, 2230, 602, 616, 12873, 896, 6024, 22775, 725, 971, 607, 15198, 543, 19755, 267, 855, 711, 751, 2130, 610, 1350, 5224, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 834, 18528, 22460, 23289, 1701, 898, 781, 513, 2027, 1858, 1369, 23289, 602, 10905, 11810, 630, 1492, 1353, 540, 1689, 264, 543, 9511, 630, 1492, 1353, 540, 3337, 1040, 1635, 16471, 891, 1079, 4610, 267, 649, 666, 4983, 5347, 7252, 267, 14258, 267, 543, 3252, 609, 1390, 1469, 269, 1280, 1383, 267, 952, 649, 1491, 513, 2673, 1413, 693, 513, 13558, 3440, 267, 3079, 540, 1175, 7487, 621, 607, 513, 12106, 267, 649, 666, 5659, 922, 6946, 4806, 1500, 909, 540, 20008, 30368, 543, 15279, 30368, 1107, 782, 7064, 547, 11186, 23289, 2439, 5331, 2348, 513, 9589, 3172, 4328, 4837, 602, 13071, 596, 1294, 519, 6263, 15113, 543, 23898, 593, 1022, 2627, 269, 2060, 11186, 23289, 267, 649, 946, 6310, 2645, 1572, 16755, 543, 29398, 547, 2268, 891, 2242, 269, 14216, 643, 2510, 2995, 721, 875, 3728, 1919, 616, 4657, 267, 1247, 29398, 2285, 721, 1344, 827, 13250, 610, 2698, 5666, 936, 1978, 4525, 269, 8625, 267, 789, 1450, 721, 547, 1711, 5730, 3631, 540, 1950, 7252, 543, 1732, 1174, 741, 3889, 780, 2080, 781, 513, 1187, 1383, 1210, 16755, 281, 15475, 596, 4941, 547, 1265, 856, 945, 814, 519, 1159, 2393, 4554, 18530, 5163, 1851, 707, 2828, 269, 1411, 1223, 4670, 1142, 1268, 19184, 532, 513, 535, 5142, 23331, 543, 1287, 10250, 519, 2619, 540, 519, 1167, 2429, 922, 8184, 269, 4635, 16755, 267, 596, 666, 3313, 519, 3432, 543, 10231, 540, 519, 535, 5142, 23331, 1282, 922, 18330, 269, 24951, 891, 2338, 1063, 12235, 619, 1131, 7866, 4171, 5322, 616, 1034, 5714, 543, 5812, 267, 1818, 873, 519, 1655, 11134, 585, 10700, 535, 5142, 23331, 588, 731, 558, 2439, 2026, 596, 3136, 1565, 827, 11186, 23289, 267, 3314, 602, 2979, 3884, 1405, 1175, 827, 6061, 4834, 282, 621, 781, 849, 827, 3695, 7493, 2035, 543, 26500, 4296, 1063, 9583, 20775, 9259, 269, 1924, 1832, 6998, 2055, 267, 3251, 8049, 267, 543, 2972, 707, 7045, 883, 713, 9159, 7706, 540, 6128, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 323, 5877, 3919, 538, 602, 15569, 269, 4647, 8165, 12611, 267, 711, 267, 602, 950, 596, 616, 513, 2232, 2196, 543, 513, 22640, 11422, 267, 596, 786, 24244, 590, 11057, 3747, 4559, 1141, 519, 1949, 1283, 28558, 269, 17227, 13163, 676, 10115, 621, 547, 20206, 3634, 22125, 4717, 20788, 269, 5272, 4647, 8165, 12611, 5654, 513, 476, 272, 268, 12914, 268, 1960, 276, 543, 1930, 3331, 506, 269, 5272, 4647, 8165, 21810, 513, 3656, 4708, 4994, 532, 540, 606, 1519, 3611, 636, 540, 2418, 543, 3275, 269, 1703, 6087, 606, 30366, 1657, 4647, 8165, 12611, 875, 547, 3715, 543, 4383, 606, 4550, 12611, 540, 2234, 3930, 543, 862, 1080, 1472, 1169, 4657, 563, 763, 1585, 4647, 8165, 12611, 1058, 1439, 519, 7734, 585, 741, 2663, 1473, 340, 576, 618, 267, 855, 621, 1058, 711, 1590, 518, 1101, 607, 606, 1379, 547, 519, 1413, 2228, 585, 1346, 2870, 883, 5312, 2694, 540, 9696, 269, 1703, 9765, 16168, 32308, 689, 1312, 6575, 540, 7457, 269, 7771, 1974, 593, 519, 9746, 269, 589, 1297, 811, 711, 3177, 547, 519, 4872, 540, 2693, 2835, 1131, 2347, 4143, 24299, 543, 606, 3135, 540, 7397, 609, 873, 269, 769, 519, 4647, 4339, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17843, 658, 5440, 1108, 257, 607, 851, 540, 834, 21316, 30388, 1315, 5440, 1108, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7689, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 1053, 786, 581, 2111, 547, 946, 10444, 3877, 538, 10855, 1603, 998, 30998, 12987, 6273, 676, 11174, 15923, 5931, 602, 1445, 593, 1893, 6575, 543, 1514, 5126, 4798, 780, 7072, 912, 1103, 2221, 781, 2486, 267, 972, 616, 1082, 15731, 543, 2238, 2139, 585, 1164, 1153, 1053, 602, 2832, 547, 3895, 13784, 543, 4763, 269, 634, 12891, 15842, 758, 4400, 3427, 11833, 338, 543, 11242, 2985, 8711, 1079, 971, 2516, 910, 519, 589, 9391, 1133, 1881, 11833, 543, 519, 12891, 15842, 758, 14175, 11312, 5980, 269, 1452, 3906, 1683, 2922, 5624, 585, 782, 1053, 547, 1865, 1271, 3584, 4478, 9124, 543, 14920, 1247, 2324, 2509, 10678, 7130, 269, 769, 1931, 547, 2417, 2263, 891, 4798, 267, 1053, 666, 4497, 538, 14436, 30998, 5751, 1210, 10444, 3877, 547, 4766, 1585, 7653, 789, 1522, 7237, 1369, 891, 15731, 269, 901, 1826, 540, 10855, 1603, 2636, 1762, 5830, 547, 2259, 1210, 12667, 11052, 543, 1808, 3877, 547, 1711, 2502, 6386, 780, 8893, 4886, 1384, 296, 269, 4197, 11576, 800, 19672, 538, 29149, 5675, 454, 288, 269, 19247, 540, 10444, 3877, 630, 6343, 789, 616, 543, 1946, 789, 616, 1271, 994, 306, 29022, 3877, 3277, 547, 519, 6405, 2609, 538, 513, 4062, 540, 1603, 602, 9029, 547, 938, 12823, 1107, 8289, 267, 3280, 267, 5905, 267, 6492, 267, 543, 9329, 269, 1358, 948, 3988, 14650, 543, 1995, 513, 6429, 607, 952, 789, 941, 2965, 1459, 269, 1879, 1031, 3927, 267, 10444, 3877, 1118, 11673, 2097, 9800, 267, 3850, 519, 5467, 547, 4628, 23365, 2933, 538, 519, 1650, 563, 289, 269, 6201, 540, 2178, 10444, 3877, 538, 3332, 454, 17809, 728, 1896, 1806, 689, 2442, 1453, 781, 2835, 610, 4930, 602, 6542, 2500, 946, 540, 10444, 1893, 269, 1280, 3236, 267, 834, 763, 25569, 667, 19843, 257, 676, 661, 32642, 6480, 525, 3568, 3532, 10444, 3877, 950, 10503, 654, 7701, 781, 18803, 1753, 281, 834, 2467, 729, 1100, 19880, 267, 1152, 513, 15265, 9329, 540, 856, 5264, 29886, 7404, 4799, 290, 269, 17564, 2055, 547, 2638, 8223, 454, 268, 4208, 798, 4589, 946, 10444, 3877, 888, 268, 1215, 798, 10444, 3877, 3986, 707, 1620, 540, 513, 1915, 610, 4259, 2496, 2862, 269, 19565, 27140, 7956, 16709, 454, 288, 269, 4985, 547, 519, 5697, 5931, 454, 16521, 2085, 29003, 267, 8903, 15923, 5931, 10704, 1472, 3309, 2833, 543, 1514, 5126, 4798, 4143, 547, 519, 12891, 15842, 758, 4400, 3427, 11833, 338, 269, 2368, 1761, 3681, 1223, 1331, 912, 268, 834, 4910, 1051, 257, 676, 5213, 320, 4173, 933, 1188, 19676, 454, 268, 834, 2171, 3657, 2353, 18004, 5131, 281, 634, 17629, 16672, 540, 5274, 7126, 538, 24436, 257, 12995, 676, 2549, 333, 17965, 4139, 454, 268, 834, 1805, 821, 13665, 281, 589, 8490, 269, 1323, 772, 19828, 269, 589, 7169, 257, 676, 7605, 9995, 619, 454, 289, 269, 9540, 1895, 5717, 543, 4830, 2079, 454, 5970, 1053, 2736, 883, 1507, 2516, 543, 5659, 741, 8655, 1257, 267, 3168, 4481, 693, 875, 519, 2278, 3096, 10444, 1893, 547, 6655, 2495, 269, 11559, 873, 547, 896, 1467, 610, 5031, 3226, 11495, 15102, 563, 290, 269, 19457, 4681, 609, 15032, 454, 1103, 341, 924, 13222, 689, 1142, 1895, 547, 2671, 741, 7422, 609, 519, 1964, 540, 519, 1362, 269, 11120, 4106, 622, 513, 2898, 11665, 4901, 9236, 543, 17804, 519, 1114, 2081, 4589, 6451, 10444, 3877, 780, 7656, 269, 16792, 11576, 800, 5678, 9828, 3414, 4750, 532, 8871, 14186, 454, 288, 269, 11137, 540, 30998, 3635, 454, 23737, 602, 1053, 786, 1631, 723, 519, 4316, 547, 4019, 1018, 789, 4312, 4121, 827, 10444, 1893, 547, 2123, 1603, 12987, 1759, 593, 3871, 789, 1522, 7237, 538, 519, 589, 9391, 1133, 1881, 11833, 610, 12891, 15842, 758, 14175, 11312, 5980, 269, 3629, 1806, 899, 912, 268, 5994, 596, 616, 24749, 693, 606, 2680, 6896, 676, 519, 589, 9391, 1133, 1881, 11833, 269, 14674, 519, 5790, 1210, 10444, 3877, 269, 1548, 4992, 798, 596, 5873, 286, 1548, 24462, 3295, 596, 286, 1215, 1281, 15700, 2326, 2404, 609, 519, 1788, 1118, 596, 1745, 888, 268, 1411, 616, 9361, 538, 513, 5870, 585, 519, 12891, 15842, 758, 14175, 11312, 5980, 267, 7234, 2994, 547, 8396, 11648, 269, 14674, 519, 7215, 593, 707, 9905, 262, 8188, 607, 789, 3717, 6612, 2299, 827, 741, 2093, 563, 289, 269, 18763, 30998, 942, 454, 24876, 1053, 15792, 942, 547, 2328, 11884, 538, 3210, 547, 891, 12987, 267, 8716, 5876, 543, 1582, 22325, 269, 3816, 785, 873, 547, 946, 3638, 10444, 1893, 2429, 741, 4773, 563, 290, 269, 25398, 11049, 543, 14469, 454, 5475, 11264, 741, 3355, 31585, 267, 6292, 1053, 1927, 547, 5385, 13746, 543, 2709, 16268, 5955, 269, 22716, 1125, 519, 2956, 540, 6220, 10444, 3877, 543, 3246, 1808, 1806, 269, 14190, 942, 585, 26941, 1759, 593, 9263, 10372, 563, 291, 269, 8838, 1308, 4687, 8400, 454, 3519, 2850, 519, 2534, 676, 18136, 13538, 547, 2671, 32461, 689, 741, 13746, 16965, 269, 11559, 19700, 547, 2697, 8320, 1141, 519, 10584, 6707, 11368, 10444, 1893, 780, 4353, 269, 17583, 547, 7351, 12367, 1299, 7464, 5020, 10241, 454, 28097, 4296, 1063, 519, 30998, 12987, 543, 4207, 5322, 14957, 585, 9659, 2924, 543, 11806, 266, 7862, 269, 9523, 3377, 2984, 610, 7194, 20515, 519, 5571, 991, 585, 8537, 2950, 543, 11215, 5054, 585, 12790, 6107, 269, 7053, 267, 5000, 1053, 547, 2015, 875, 14304, 741, 22423, 1983, 543, 10855, 1603, 5759, 666, 9797, 1764, 741, 1378, 4205, 609, 3309, 2043, 543, 2516, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 327, 15842, 758, 4400, 3427, 11833, 338, 543, 11242, 454, 347, 5141, 889, 610, 11314, 8745, 454, 1475, 9288, 7566, 17963, 543, 8648, 454, 24820, 9391, 1133, 1881, 11833, 454, 1475, 9336, 824, 11728, 267, 476, 274, 281, 3393, 268, 275, 281, 1789, 454, 1475, 763, 589, 9391, 1133, 1881, 11833, 1568, 547, 3895, 519, 10014, 540, 3025, 269, 11242, 949, 1331, 4543, 609, 2027, 3785, 267, 5986, 267, 12180, 543, 11504, 2621, 267, 5009, 4656, 267, 543, 1454, 811, 563, 1475, 4462, 1881, 11833, 26850, 518, 454, 347, 2026, 327, 15842, 758, 14175, 11312, 5980, 454, 1475, 9288, 7566, 2053, 786, 581, 5462, 952, 1053, 2769, 606, 1719, 538, 519, 8630, 543, 952, 513, 2875, 3268, 909, 547, 1291, 519, 8630, 563, 1475, 763, 12891, 15842, 758, 14175, 11312, 5980, 568, 513, 2875, 24507, 8630, 799, 2488, 513, 2922, 1747, 585, 11806, 266, 1053, 543, 741, 2786, 16167, 547, 2743, 267, 1489, 1142, 824, 267, 2911, 827, 2152, 1644, 547, 4638, 10066, 543, 4008, 3961, 543, 4082, 267, 543, 960, 547, 1439, 4630, 22785, 543, 1098, 874, 14113, 563, 1475, 2026, 327, 15842, 758, 14175, 11312, 5980, 26850, 518, 454, 2026, 327, 15842, 758, 14175, 11312, 5980, 19534, 454, 21270, 4490, 540, 519, 7734, 454, 1475, 289, 4490, 540, 519, 7734, 568, 513, 2542, 4161, 585, 4896, 945, 568, 8348, 547, 1224, 519, 1592, 540, 476, 1626, 2835, 543, 581, 5423, 547, 524, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 5678, 8551, 1315, 4750, 5675, 1315, 4635, 590, 5151, 538, 29149, 5675, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1131, 581, 1447, 11213, 543, 4443, 547, 6023, 982, 24409, 563, 8802, 22399, 538, 3127, 543, 3624, 723, 2907, 23498, 2472, 602, 616, 13950, 998, 519, 28296, 563, 19328, 779, 1072, 14012, 2063, 3923, 9516, 32038, 520, 4437, 1774, 577, 779, 5046, 268, 866, 17725, 10936, 6669, 1247, 3624, 779, 2052, 306, 3626, 4437, 860, 923, 267, 5549, 269, 2063, 3923, 4465, 6595, 13170, 676, 519, 2197, 779, 3075, 26273, 585, 606, 31067, 4528, 540, 922, 5046, 268, 866, 6669, 563, 4692, 306, 3626, 814, 1767, 2090, 8612, 602, 922, 6669, 267, 9447, 3842, 513, 683, 12712, 6500, 3926, 267, 666, 16578, 2178, 12046, 547, 3927, 2270, 3968, 267, 1247, 32038, 520, 779, 4693, 2164, 723, 711, 2943, 1044, 3370, 563, 763, 3703, 4693, 19801, 476, 1789, 5892, 796, 341, 3147, 3990, 5171, 607, 1134, 607, 476, 1321, 13538, 267, 945, 1185, 5892, 4607, 513, 3044, 1079, 1673, 846, 6669, 1576, 676, 13297, 563, 10527, 17725, 10936, 1705, 711, 1685, 607, 1134, 538, 713, 1353, 607, 649, 1185, 12479, 2223, 1767, 9995, 344, 19958, 267, 8783, 31375, 540, 519, 4693, 693, 10228, 2160, 779, 23514, 1676, 4659, 563, 14071, 3494, 602, 6765, 540, 10074, 547, 519, 9224, 543, 9641, 3788, 513, 9621, 1935, 267, 855, 713, 1353, 5267, 972, 616, 2693, 547, 581, 2591, 538, 1818, 17725, 838, 7590, 513, 6325, 4781, 2223, 1352, 3773, 563, 5591, 3978, 8801, 2621, 610, 3106, 4145, 941, 4080, 1282, 519, 4693, 267, 799, 729, 14102, 676, 8330, 571, 313, 523, 29132, 267, 2687, 547, 519, 3948, 269, 2443, 1234, 26407, 0, 294, 663, 6816, 630, 763, 2012, 607, 621, 1131, 2408, 538, 513, 575, 1794, 8291, 518, 994, 294, 663, 6816, 630, 763, 2012, 607, 621, 1131, 2408, 593, 513, 4786, 994, 2252, 713, 1344, 568, 11234, 267, 5225, 552, 17733, 18078, 17106, 11333, 3820, 454, 8722, 1155, 1826, 281, 6816, 630, 276, 994, 1607, 2012, 24865, 689, 2136, 2276, 540, 3013, 269, 898, 568, 851, 540, 519, 2136, 2276, 30657, 8291, 518, 543, 519, 14662, 2752, 1290, 22683, 30657, 8291, 518, 540, 19778, 563, 301, 1868, 602, 824, 2477, 723, 585, 713, 4183, 912, 296, 576, 2275, 2642, 6532, 267, 476, 274, 11465, 1279, 543, 476, 272, 269, 276, 11465, 2647, 267, 14084, 693, 519, 715, 1439, 540, 7647, 5055, 1068, 19305, 267, 1063, 1323, 951, 543, 645, 4599, 656, 11866, 538, 519, 6022, 1067, 5246, 28396, 269, 5494, 2642, 676, 519, 5617, 326, 20067, 267, 476, 6245, 278, 268, 4200, 267, 543, 3957, 676, 15168, 331, 5995, 1310, 717, 663, 267, 519, 3943, 1106, 540, 717, 5782, 267, 513, 2749, 538, 19934, 1141, 20478, 11479, 941, 4371, 547, 948, 8804, 519, 16939, 563, 5591, 2592, 540, 713, 1747, 1223, 581, 1336, 269, 0, 24916, 1373, 3638, 538, 6171, 645, 267, 17228, 11338, 1331, 31093, 267, 799, 568, 513, 7777, 602, 568, 2556, 585, 8497, 2635, 543, 7059, 1560, 4761, 1062, 543, 7633, 269, 1358, 10123, 2874, 540, 20239, 12950, 338, 267, 799, 616, 2326, 602, 616, 5156, 547, 723, 4550, 2275, 22083, 2164, 269, 1358, 616, 849, 513, 1434, 2707, 540, 3940, 543, 849, 6775, 269, 1358, 616, 4389, 538, 8477, 607, 1134, 607, 8501, 269, 1358, 616, 1767, 547, 948, 7413, 9636, 543, 849, 1489, 519, 1560, 779, 1560, 4761, 1062, 563, 7212, 17228, 666, 581, 2731, 8949, 267, 789, 849, 723, 930, 5906, 2427, 2360, 269, 1280, 1383, 267, 789, 616, 711, 5150, 585, 9176, 8951, 610, 19920, 269, 769, 1840, 267, 789, 666, 9594, 26390, 5209, 267, 2566, 543, 4160, 267, 543, 4250, 269, 769, 8966, 2665, 267, 789, 666, 849, 581, 14603, 269, 1403, 596, 616, 1034, 532, 2693, 547, 8532, 873, 267, 621, 568, 1655, 547, 1413, 585, 4810, 7840, 563, 763, 1250, 4897, 1756, 568, 519, 17343, 685, 1272, 1606, 7739, 532, 3060, 540, 2281, 269, 898, 9428, 16538, 3168, 585, 5567, 543, 1216, 269, 898, 11338, 5728, 525, 11476, 547, 2736, 1524, 5214, 2339, 269, 3733, 4897, 1756, 568, 4092, 538, 519, 13897, 607, 1134, 607, 538, 3574, 269, 898, 12979, 832, 519, 25487, 547, 519, 2666, 543, 568, 3743, 585, 11018, 5567, 563, 763, 575, 1571, 616, 28489, 1957, 6438, 10850, 602, 1711, 17542, 540, 24032, 269, 2368, 17228, 6749, 741, 24032, 689, 519, 575, 1571, 267, 1247, 1866, 5512, 10860, 547, 4163, 873, 269, 634, 10155, 267, 3337, 267, 543, 849, 2681, 540, 519, 575, 1571, 616, 1360, 1271, 10305, 585, 9301, 519, 2249, 563, 763, 1698, 540, 519, 25487, 568, 519, 851, 602, 3091, 519, 13271, 922, 22597, 6438, 5920, 269, 898, 666, 581, 1377, 610, 598, 601, 833, 267, 607, 1134, 607, 519, 2681, 543, 5920, 786, 6157, 4268, 2687, 547, 519, 3942, 540, 519, 25487, 779, 2208, 563, 763, 1728, 874, 2801, 616, 4130, 4839, 4221, 3457, 602, 7755, 7765, 547, 1711, 513, 1357, 6438, 1560, 540, 17343, 269, 3962, 1728, 6495, 25173, 5567, 689, 519, 5790, 543, 849, 15920, 873, 547, 824, 2694, 540, 519, 17343, 269, 1452, 22204, 5555, 1205, 538, 5905, 609, 824, 1728, 874, 2801, 267, 799, 1020, 513, 4839, 4221, 1062, 602, 2882, 936, 3368, 513, 13304, 630, 272, 5998, 264, 547, 519, 1250, 4897, 1756, 3232, 563, 763, 1698, 267, 1728, 874, 2801, 267, 543, 849, 1250, 4897, 1756, 616, 782, 2629, 547, 519, 1646, 543, 849, 13120, 540, 513, 17343, 269, 3962, 851, 568, 1175, 607, 2629, 538, 24569, 519, 1272, 4783, 540, 519, 13271, 269, 634, 1728, 874, 2801, 616, 606, 1271, 3693, 540, 519, 13271, 685, 4390, 547, 3560, 5567, 547, 1585, 824, 2694, 540, 519, 13271, 269, 634, 1728, 874, 2801, 11338, 10110, 5567, 689, 519, 4259, 267, 28498, 519, 17343, 547, 1332, 563, 763, 31736, 568, 1776, 2629, 14487, 540, 519, 17343, 269, 634, 31736, 568, 513, 8546, 6438, 2497, 602, 6770, 827, 519, 1728, 874, 2801, 543, 568, 3335, 4857, 676, 513, 4806, 610, 12094, 269, 634, 31736, 568, 10645, 547, 581, 513, 1390, 16315, 540, 2436, 519, 13271, 568, 17580, 563, 763, 575, 1571, 616, 849, 513, 4105, 14487, 540, 519, 13271, 269, 1358, 616, 1500, 946, 540, 547, 1711, 24032, 543, 849, 5150, 519, 838, 648, 26148, 2627, 1858, 269, 15661, 971, 607, 589, 2006, 7534, 723, 838, 648, 26148, 2281, 538, 741, 575, 1571, 563, 5278, 17228, 723, 513, 1225, 569, 1413, 267, 799, 20674, 10646, 873, 689, 1142, 824, 269, 634, 4622, 23690, 3122, 25487, 814, 513, 5394, 6565, 543, 513, 1507, 1698, 269, 634, 679, 758, 328, 25487, 267, 9053, 538, 8109, 7489, 1426, 267, 814, 513, 1279, 6565, 543, 849, 513, 1507, 1698, 269, 898, 568, 4122, 8246, 607, 513, 12990, 585, 5779, 563, 303, 1506, 339, 12950, 338, 538, 17228, 723, 1044, 3254, 547, 5351, 609, 973, 10967, 566, 689, 4576, 543, 5945, 267, 607, 1134, 607, 930, 1382, 1353, 814, 5227, 602, 789, 666, 5351, 609, 1928, 8323, 269, 1452, 6464, 616, 2219, 547, 849, 535, 754, 1055, 6757, 6878, 269, 1358, 616, 11338, 1634, 547, 723, 4550, 268, 1645, 5222, 563, 1103, 1840, 547, 741, 16392, 5383, 267, 17228, 616, 11338, 1970, 538, 8477, 543, 8501, 607, 1134, 607, 2270, 3875, 8324, 269, 1358, 616, 513, 1434, 2707, 540, 3940, 543, 645, 8324, 267, 799, 616, 2556, 11014, 9716, 269, 1358, 10123, 723, 1898, 6886, 971, 607, 31093, 269, 1452, 6886, 616, 1360, 1271, 585, 9319, 1591, 3441, 543, 849, 24569, 519, 1560, 4761, 1062, 563, 5194, 4324, 540, 17228, 568, 741, 13916, 269, 1358, 616, 4092, 538, 513, 5542, 540, 3029, 543, 849, 4778, 267, 543, 666, 581, 1500, 946, 540, 538, 513, 3099, 540, 8286, 269, 1358, 616, 849, 1390, 585, 7393, 12536, 543, 17516, 519, 2295, 269, 1358, 666, 581, 8329, 547, 707, 5172, 10346, 547, 1039, 513, 2370, 1945, 2027, 563, 26589, 609, 1373, 17580, 267, 17228, 616, 11338, 5363, 585, 519, 4259, 269, 674, 2426, 328, 948, 538, 519, 2736, 1524, 540, 6151, 1570, 538, 519, 1604, 267, 543, 849, 789, 1404, 513, 2565, 1599, 538, 2470, 269, 2368, 9033, 529, 849, 1106, 1250, 14585, 9071, 714, 531, 3347, 609, 2371, 267, 799, 11863, 519, 2371, 547, 1491, 538, 1898, 6886, 689, 519, 13897, 269, 1358, 798, 713, 676, 9658, 1154, 11476, 883, 519, 536, 867, 1359, 2030, 1570, 269, 769, 2490, 267, 519, 2371, 4217, 547, 27653, 909, 1216, 543, 849, 5567, 689, 519, 13271, 563, 2691, 513, 25487, 9428, 267, 621, 3029, 513, 2927, 1746, 1560, 267, 799, 3568, 25487, 5452, 269, 901, 2927, 1746, 1560, 666, 581, 2901, 598, 673, 267, 1377, 267, 610, 5180, 269, 898, 666, 11338, 581, 4988, 609, 513, 1698, 267, 799, 2488, 513, 3106, 2627, 269, 634, 10155, 540, 519, 1698, 9775, 676, 2249, 267, 607, 1134, 607, 621, 666, 723, 513, 3099, 540, 23079, 269, 2368, 17228, 616, 2111, 547, 3142, 24032, 593, 741, 575, 1571, 267, 799, 616, 2370, 267, 6094, 2914, 6817, 3889, 269, 11524, 723, 22405, 267, 799, 616, 5121, 602, 5512, 24032, 547, 581, 6420, 540, 519, 17228, 563, 763, 17539, 540, 513, 25487, 568, 711, 2653, 547, 10146, 269, 1717, 1169, 851, 568, 8449, 4105, 538, 24569, 519, 1272, 4783, 540, 519, 17343, 269, 898, 568, 2877, 585, 519, 13271, 547, 1491, 513, 7362, 267, 543, 621, 1058, 723, 519, 2702, 547, 27653, 909, 543, 849, 10110, 5567, 689, 519, 4478, 2067, 1587, 269, 898, 666, 849, 1711, 24032, 269, 634, 24032, 602, 616, 2813, 666, 1287, 581, 7856, 269, 769, 930, 17228, 267, 519, 24032, 2887, 5196, 15417, 2666, 267, 1141, 789, 666, 17708, 339, 607, 1134, 607, 1711, 6263, 27129, 748, 1728, 874, 2801, 269, 1452, 1728, 874, 2801, 1310, 602, 7755, 7765, 547, 1106, 519, 13271, 779, 2713, 1560, 563, 763, 1728, 874, 2801, 616, 519, 6263, 12673, 540, 27129, 602, 1332, 607, 519, 17343, 7213, 12885, 5567, 689, 519, 3037, 269, 16828, 267, 519, 1728, 874, 2801, 24827, 12840, 543, 1106, 513, 3060, 540, 1250, 4897, 658, 2281, 267, 799, 666, 3382, 1896, 14143, 269, 634, 1250, 4897, 1756, 20674, 547, 19671, 519, 25487, 547, 519, 4541, 267, 543, 621, 20674, 547, 2445, 5567, 585, 519, 2927, 1746, 1560, 269, 1332, 20164, 9059, 17228, 454, 5278, 17228, 723, 575, 1571, 267, 799, 616, 2370, 267, 28489, 267, 1957, 6438, 10850, 602, 8473, 519, 6565, 269, 769, 1082, 2665, 267, 575, 1571, 666, 581, 8032, 899, 513, 17794, 779, 4552, 267, 607, 1134, 607, 789, 723, 13549, 6438, 4522, 593, 741, 2627, 1858, 269, 634, 13613, 3815, 540, 519, 575, 1571, 568, 513, 1883, 4183, 538, 8159, 513, 8677, 269, 0, 1607, 1433, 6212, 593, 519, 2825, 3334, 540, 6940, 267, 1519, 3344, 540, 759, 25703, 543, 519, 2825, 5222, 540, 1480, 7239, 269, 13149, 543, 9341, 4104, 8134, 267, 1426, 3354, 543, 824, 2067, 2200, 267, 607, 1134, 607, 4066, 585, 519, 2825, 1852, 540, 6848, 5222, 616, 8947, 269, 901, 4320, 568, 3818, 16162, 9918, 267, 855, 609, 513, 5812, 1445, 593, 519, 2067, 1604, 269, 901, 476, 273, 31891, 1305, 11828, 513, 2647, 2039, 540, 3584, 7282, 6940, 543, 1480, 3354, 538, 5607, 267, 3226, 3162, 5101, 5607, 269, 634, 1367, 11271, 723, 1044, 8329, 676, 4589, 689, 1585, 4610, 267, 543, 1813, 547, 519, 4560, 540, 519, 1570, 616, 9674, 883, 1079, 21044, 12531, 269, 634, 1305, 3091, 513, 3407, 4199, 585, 4648, 543, 3173, 538, 519, 4683, 4058, 2872, 267, 2022, 6588, 706, 919, 267, 14519, 267, 2229, 8387, 543, 2067, 2200, 9946, 269, 769, 1840, 267, 621, 666, 581, 1031, 538, 6030, 593, 7025, 7177, 267, 11982, 543, 32645, 267, 5398, 8889, 543, 3047, 3163, 269, 0, 763, 12891, 2023, 20698, 3019, 786, 4166, 581, 17468, 896, 513, 1788, 5063, 9250, 676, 519, 12655, 717, 1066, 611, 1149, 5549, 269, 630, 306, 639, 294, 1066, 1916, 299, 11343, 593, 519, 3162, 11076, 540, 5742, 6816, 267, 693, 519, 7013, 1439, 540, 519, 717, 1066, 611, 1149, 267, 519, 20698, 3019, 568, 519, 4102, 15922, 538, 519, 717, 1066, 611, 1149, 267, 519, 4102, 733, 27631, 22600, 17311, 7226, 538, 519, 3148, 543, 835, 540, 519, 2063, 538, 853, 269, 27673, 543, 519, 717, 1066, 611, 1149, 563, 1103, 476, 1960, 275, 267, 519, 12891, 2023, 3057, 2088, 5741, 6069, 547, 4020, 513, 476, 4968, 10874, 628, 2261, 2088, 267, 513, 17075, 1576, 267, 543, 1804, 598, 3256, 514, 1756, 338, 538, 519, 1482, 1858, 855, 729, 14460, 538, 476, 1960, 276, 563, 763, 18848, 3019, 2899, 4371, 4190 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 1142, 4009, 568, 7466, 519, 1858, 540, 519, 1985, 4130, 4009, 6537, 538, 621, 269, 1403, 519, 1858, 540, 519, 10545, 4009, 568, 476, 274, 4009, 17744, 267, 1018, 568, 519, 1858, 540, 519, 4102, 4009, 692, 3451, 269, 12361, 2983, 2210, 2044, 692, 1692, 798, 594, 4194, 713, 286, 2201, 1250, 7084, 621, 3081, 1265, 519, 1858, 3330, 519, 4009, 267, 855, 3544, 519, 5858, 267, 2016, 602, 519, 8953, 540, 519, 5858, 568, 476, 273, 10264, 269, 2422, 476, 274, 269, 1691, 585, 9745, 594, 723, 513, 4605, 540, 513, 4009, 609, 513, 5858, 538, 519, 4009, 267, 609, 513, 3490, 476, 277, 10264, 269, 543, 4463, 476, 277, 10264, 780, 4097, 269, 12361, 4569, 692, 288, 1318, 9764, 20425, 666, 568, 476, 277, 6279, 1164, 2073, 543, 519, 1858, 540, 922, 1283, 568, 476, 3607, 4009, 3597, 4009, 6279, 1547, 1548, 568, 519, 5934, 1297, 540, 4009, 6279, 540, 4070, 1957, 621, 1131, 1491, 547, 3382, 519, 14694, 2627, 540, 713, 666, 26042, 3374, 269, 12361, 9511, 692, 296, 991, 547, 1265, 519, 1858, 540, 519, 26484, 6712, 540, 513, 5858, 609, 513, 4009, 538, 519, 1647, 782, 15174, 15700, 519, 5858, 269, 3733, 4009, 814, 513, 1899, 6482, 540, 476, 1015, 4699, 269, 594, 917, 602, 519, 1858, 540, 519, 4009, 568, 476, 1911, 4699, 263, 1015, 1535, 476, 1015, 1040, 1809, 594, 993, 711, 2386, 1018, 547, 798, 609, 519, 692, 3607, 269, 12361, 13878, 295, 476, 1321, 692, 763, 2698, 2627, 1858, 540, 513, 4009, 2861, 1930, 1283, 14328, 4216, 568, 476, 1321, 4009, 4559, 269, 4855, 519, 7516, 540, 519, 4216, 971, 602, 519, 4320, 568, 519, 5021, 780, 4391, 269, 12361, 7177, 692, 2467, 568, 513, 3337, 602, 814, 513, 1318, 6906, 593, 1283, 540, 513, 4009, 267, 594, 991, 547, 1265, 519, 1858, 540, 519, 3337, 670, 272, 24689, 1923, 1422, 1923, 1422, 1923, 1923, 295, 273, 1923, 13090, 347, 645, 645, 284, 736, 293, 339, 670, 273, 284, 476, 4037, 331, 321, 270, 1111, 670, 272, 284, 476, 5611, 18470, 270, 1111, 594, 3893, 476, 7785, 585, 519, 2698, 1858, 267, 993, 594, 2673, 692, 4343, 269, 12361, 2979, 692, 8340, 519, 1858, 540, 513, 4009, 609, 2427, 589, 950, 513, 568, 3160, 547, 519, 1739, 2418, 269, 3657, 519, 1858, 540, 513, 4009, 543, 519, 3259, 540, 922, 2427, 2047, 14354, 9424, 286, 4208, 610, 1946, 711, 286, 589, 284, 279, 4699, 269, 634, 1858, 540, 519, 4009, 568, 12223, 13090, 4009, 4699, 269, 634, 1858, 540, 519, 4009, 692, 4375, 269, 12361, 8890, 6776, 16387, 692, 288, 4009, 568, 513, 29105, 609, 2185, 3160, 5011, 269, 634, 1858, 540, 513, 4009, 568, 3160, 547, 4009, 540, 922, 5011, 269, 634, 15497, 540, 513, 4009, 568, 513, 1899, 10126, 11836, 1022, 1079, 1875, 8410, 5913, 5737, 2427, 269, 4855, 519, 1858, 540, 513, 4009, 543, 519, 3259, 540, 922, 15497, 4171, 692, 2412, 269, 12361, 10789, 692, 763, 1283, 540, 513, 14328, 3349, 814, 606, 1858, 540, 476, 23470, 4009, 3952, 269, 898, 814, 513, 3259, 602, 568, 476, 273, 3952, 811, 982, 519, 8700, 269, 4855, 519, 7516, 540, 519, 3349, 1283, 780, 6078, 269, 12361, 10789, 692, 763, 1283, 540, 513, 14328, 3349, 814, 606, 1858, 540, 476, 14838, 4009, 3952, 269, 898, 814, 513, 3259, 602, 568, 476, 273, 3952, 811, 982, 519, 8700, 269, 4855, 519, 7516, 540, 519, 3349, 1283, 780, 5655, 269, 12361, 4569, 692, 758, 865, 267, 513, 4009, 568, 476, 280, 269, 274, 9492, 693, 519, 1283, 865, 1018, 568, 519, 1858, 286, 594, 3893, 519, 15943, 543, 621, 568, 476, 4391, 269, 273, 4699, 855, 594, 1175, 18085, 1174, 875, 547, 798, 1858, 543, 1205, 519, 1318, 2626, 692, 6246, 269, 12361, 6482, 692, 8340, 555, 1372, 2698, 2627, 1858, 540, 519, 2121, 540, 513, 4009, 18158, 2016, 602, 519, 3490, 568, 476, 274, 9492, 676, 476, 274, 9492, 543, 1142, 1793, 656, 6316, 568, 476, 276, 9492, 269, 3417, 519, 1166, 2355, 780, 4510, 269, 12361, 9511, 692, 1492, 2121, 540, 513, 4009, 18158, 814, 513, 3490, 540, 476, 274, 9492, 676, 476, 274, 9492, 543, 1142, 1793, 656, 2427, 568, 476, 276, 9492, 269, 3417, 519, 1166, 2355, 269, 4855, 519, 2698, 2627, 1858, 540, 519, 24388, 780, 3393, 269, 12361, 7223, 692, 22704, 540, 513, 4009, 1265, 513, 1135, 2106, 558, 1400, 589, 11583, 264, 602, 4564, 519, 1858, 540, 519, 26484, 3148, 579, 723, 513, 4009, 609, 606, 15561, 15738, 2451, 543, 1318, 693, 1283, 540, 519, 4009, 609, 1535, 7711, 519, 1283, 543, 513, 15561, 909, 543, 1524, 593, 519, 1318, 2427, 540, 519, 4009, 7868, 1948, 274, 593, 519, 1318, 692, 5379, 269, 12361, 4569, 692, 296, 991, 948, 609, 713, 1966, 269, 630, 9617, 4952, 513, 1507, 4009, 609, 476, 276, 343, 268, 272, 693, 519, 1283, 540, 519, 4009, 267, 476, 273, 343, 593, 519, 2451, 2427, 540, 519, 4009, 543, 538, 519, 1318, 1688, 7944, 540, 519, 4009, 972, 568, 513, 4216, 593, 519, 1283, 568, 513, 476, 274, 543, 593, 519, 2451, 2427, 568, 513, 476, 273, 4700, 1411, 723, 547, 4137, 692, 5325, 269, 12361, 2979, 267, 15276, 692, 1721, 713, 835, 875, 798, 1775, 1305, 621, 909, 286, 17692, 5990, 590, 22432, 5508, 589, 590, 12702, 22664, 25758, 667, 4488, 3918, 3008, 3633, 15760, 476, 274, 13967, 267, 5990, 25758, 288, 4959, 667, 4488, 3918, 3008, 3633, 15760, 476, 10037, 13967, 317, 273, 269, 18040, 2969, 654, 16730, 5990, 667, 8379, 2894, 31064, 306, 5508, 5990, 10758, 5456, 2562, 3201, 590, 12702, 22664, 2496, 4366, 269, 12361, 4569, 692, 1432, 568, 519, 1858, 540, 513, 4009, 609, 2427, 13080, 540, 476, 274, 9492, 286, 2422, 519, 4542, 589, 284, 338, 1535, 521, 1772, 713, 2953, 589, 284, 476, 274, 343, 274, 284, 280, 692, 5392, 269, 12361, 16387, 692, 5723, 24427, 568, 513, 4009, 609, 3368, 519, 15943, 540, 4009, 589, 7374, 292, 269, 717, 291, 815, 476, 275, 514, 269, 4855, 519, 1858, 540, 519, 26484, 3148, 269, 7490, 948, 803, 960, 713, 1966, 856, 594, 993, 12758, 269, 898, 781, 513, 4009, 543, 538, 519, 1283, 1318, 7944, 972, 538, 1776, 4009, 3330, 621, 602, 568, 476, 272, 270, 275, 519, 2450, 540, 519, 692, 2004, 269, 12361, 2979, 692, 300, 543, 715, 616, 519, 4571, 9557, 540, 519, 5011, 540, 513, 4009, 269, 1548, 568, 519, 5223, 540, 519, 1858, 540, 6906, 7537, 301, 547, 519, 1858, 540, 519, 2347, 4009, 286, 1809, 519, 2626, 814, 547, 581, 538, 513, 5223, 799, 568, 519, 1858, 540, 513, 6906, 547, 519, 1858, 540, 519, 2347, 4009, 269, 4746, 519, 6906, 692, 7906, 269, 12361, 7223, 270, 4118, 692, 296, 723, 713, 4137, 540, 513, 4009, 30040, 4306, 609, 606, 31164, 6906, 623, 304, 307, 9361, 593, 1283, 540, 519, 4009, 269, 634, 4137, 5654, 899, 513, 2370, 2777, 1862, 3733, 2243, 568, 952, 623, 304, 11224, 476, 277, 4699, 267, 1287, 1018, 568, 519, 1858, 540, 519, 4009, 286, 1684, 594, 991, 547, 1265, 519, 1858, 540, 519, 6906, 547, 692, 7367, 269, 12361, 7223, 692, 604, 513, 1283, 540, 513, 4009, 4216, 814, 606, 1858, 540, 476, 13893, 4009, 6279, 267, 875, 1279, 568, 519, 20968, 333, 2224, 2066, 519, 1283, 540, 519, 4216, 268, 991, 547, 1397, 960, 10484, 7871, 269, 12361, 2979, 692, 1492, 8953, 678, 540, 513, 12106, 568, 2810, 693, 513, 2557, 540, 476, 274, 9492, 26553, 269, 1265, 519, 2557, 540, 1689, 540, 519, 1858, 950, 678, 284, 274, 9492, 692, 7918, 269, 12361, 16387, 692, 2691, 4466, 519, 2627, 1858, 540, 513, 12432, 4137, 267, 799, 538, 713, 2013, 5161, 540, 513, 4009, 18158, 9361, 593, 1283, 540, 513, 13306, 267, 594, 917, 602, 519, 1101, 1900, 568, 547, 1265, 519, 2627, 1858, 540, 519, 13306, 267, 855, 1310, 602, 594, 1131, 1265, 519, 2627, 1858, 540, 519, 4009, 692, 4649, 269, 12361, 4569, 6789, 4338, 692, 12749, 9351, 281, 476, 1724, 4009, 6279, 11192, 17183, 9351, 281, 476, 31798, 4009, 6279, 1548, 568, 519, 700, 8632, 17183, 9351, 540, 519, 476, 276, 21758, 24388, 2496, 6321, 269, 12361, 8212, 630, 29590, 1299, 853, 1778, 2020, 288, 8559, 476, 274, 9492, 538, 8006, 568, 547, 581, 5309, 3481, 856, 540, 513, 5374, 6676, 476, 279, 9492, 5394, 269, 634, 19852, 2566, 540, 519, 1570, 568, 476, 277, 3583, 294, 25508, 269, 1548, 4452, 568, 2838, 593, 519, 24362, 286, 3689, 1265, 519, 1858, 281, 589, 815, 14039, 265, 323, 317, 273, 270, 476, 273, 815, 476, 274, 269, 15221, 277, 2608, 476, 274, 9492, 317, 273, 270, 476, 273, 815, 476, 274, 269, 15221, 277, 2608, 476, 280, 270, 476, 273, 815, 476, 2764, 269, 28638, 275, 270, 476, 273, 815, 476, 278, 269, 6187, 279, 277, 9492, 13262, 25883, 6872, 269, 12361, 4569, 692, 2252, 519, 30494, 540, 513, 1318, 6906, 568, 513, 284, 274, 9492, 267, 865, 589, 284, 3445, 5232, 267, 543, 519, 4009, 540, 519, 2040, 540, 519, 824, 1079, 5011, 568, 476, 1704, 267, 1018, 568, 519, 1858, 540, 519, 6906, 286, 865, 10416, 267, 630, 321, 25239, 8203, 273, 284, 1704, 594, 1589, 596, 616, 9277, 547, 946, 29890, 547, 4194, 621, 855, 594, 1810, 1405, 917, 692, 6812, 269, 12361, 4569, 7223, 692, 2005, 2161, 547, 1265, 519, 1858, 540, 519, 12150, 3337, 543, 621, 781, 513, 10859, 5858, 609, 519, 8006, 540, 476, 276, 543, 513, 4009, 2268, 476, 279, 543, 594, 3893, 519, 1858, 540, 519, 6439, 656, 14410, 799, 568, 476, 2412, 543, 1631, 594, 3893, 547, 1265, 519, 1858, 540, 519, 10859, 5858, 855, 621, 2161, 519, 8953, 585, 519, 4542, 692, 6795, 269, 12361, 4569, 692, 1432, 568, 519, 2627, 1858, 538, 4009, 4559, 286, 1283, 284, 476, 1015, 4009, 4559, 5377, 284, 476, 1015, 4009, 4559, 1318, 284, 476, 275, 4009, 4559, 2451, 284, 476, 275, 4009, 4559, 4395, 284, 476, 1015, 4009, 4559, 1394, 284, 476, 1015, 4009, 4559, 692, 2568, 269, 12361, 4569, 692, 1432, 568, 519, 2627, 1858, 538, 4009, 4559, 286, 1283, 284, 476, 1015, 4009, 4559, 5377, 284, 476, 1015, 4009, 4559, 1318, 284, 476, 275, 4009, 4559, 2451, 284, 476, 275, 4009, 4559, 4395, 284, 476, 1015, 4009, 4559, 1394, 284, 476, 1015, 4009, 4559, 692, 8618, 269, 12361, 4569, 692, 2304, 29275, 568, 547, 2270, 476, 4037, 13483, 6983, 916, 540, 9102, 1858, 269, 1703, 568, 513, 476, 273, 9492, 14345, 693, 519, 5377, 267, 476, 274, 9492, 14345, 538, 1142, 2427, 543, 1100, 14345, 693, 519, 1283, 269, 4855, 519, 7516, 540, 519, 10545, 2009, 16968, 780, 7830, 269, 12361, 476, 277, 628, 3446, 2979, 692, 763, 1858, 540, 1142, 4009, 568, 7466, 519, 1858, 540, 519, 1985, 4130, 4009, 6537, 538, 621, 269, 952, 519, 1858, 540, 519, 10545, 4009, 568, 476, 274, 4009, 524, 916, 269, 1018, 568, 519, 1858, 540, 519, 4102, 4009, 692, 8287, 269, 12361, 4569, 6789, 4338, 692, 12749, 9351, 281, 476, 2918, 4009, 6279, 5440, 32309, 281, 476, 4097, 6279, 27551, 281, 476, 1556, 6279, 1548, 568, 519, 17183, 9351, 540, 519, 476, 1321, 21758, 24388, 2496, 5038, 269, 12361, 11810, 948, 561, 339, 1479, 2243, 692, 22772, 519, 1858, 540, 519, 1036, 514, 22112, 676, 519, 11708, 540, 586, 15871, 343, 317, 273, 284, 273, 343, 284, 274, 543, 586, 284, 274, 269, 1775, 1810, 1405, 991, 948, 6061, 519, 1966, 543, 855, 1775, 993, 513, 2370, 11821, 269, 21453, 519, 3113, 568, 513, 29236, 543, 1775, 16668, 513, 1612, 984, 5055, 609, 586, 284, 476, 274, 269, 1631, 950, 1265, 519, 1858, 267, 993, 594, 4466, 519, 1858, 593, 519, 692, 4792, 269, 12361, 2979, 692, 1607, 568, 513, 6989, 1544, 540, 513, 2679, 602, 568, 476, 279, 332, 7381, 269, 898, 814, 513, 6366, 8122, 269, 1548, 568, 519, 2627, 1858, 540, 519, 2679, 1519, 519, 8122, 269, 634, 6989, 1544, 568, 4358, 689, 519, 2451, 519, 2427, 568, 476, 1240, 332, 519, 5377, 568, 476, 2767, 332, 519, 1318, 2427, 568, 476, 2420, 332, 269, 634, 1283, 5654, 20868, 692, 5780, 269, 12361, 10789, 692, 12749, 540, 519, 13551, 568, 476, 273, 343, 266, 276, 1318, 1688, 2427, 568, 476, 276, 269, 3503, 606, 4082, 585, 519, 1858, 540, 519, 13551, 269, 3973, 1265, 519, 1858, 540, 519, 13551, 538, 4009, 3952, 952, 1535 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5978, 24942, 2657, 454, 4415, 519, 8560, 540, 28910, 543, 1514, 2923, 8034, 8215, 11326, 267, 513, 20468, 676, 28237, 568, 602, 4189, 3270, 949, 1291, 547, 513, 6175, 538, 519, 6981, 540, 930, 1898, 5567, 267, 799, 538, 2490, 5222, 938, 5642, 1072, 269, 2290, 540, 891, 2428, 1801, 267, 1898, 547, 5642, 1072, 267, 568, 7513, 269, 5525, 723, 3254, 602, 1447, 982, 3368, 8241, 2021, 2743, 519, 3232, 5227, 10421, 540, 7513, 563, 2467, 568, 513, 1455, 31605, 602, 14874, 519, 10683, 1426, 1895, 666, 4217, 609, 2597, 2530, 269, 1403, 972, 616, 1100, 2564, 4128, 585, 3257, 865, 267, 519, 4641, 540, 713, 568, 602, 19518, 538, 5567, 971, 607, 7513, 666, 1291, 547, 513, 14207, 538, 5642, 1072, 1312, 1631, 543, 883, 519, 2104, 563, 302, 4614, 18576, 568, 513, 2783, 538, 799, 519, 7633, 1831, 28221, 543, 666, 1291, 547, 606, 2799, 10171, 540, 5642, 18655, 269, 898, 4016, 547, 513, 2530, 540, 5642, 5860, 1141, 972, 814, 1044, 513, 11931, 2530, 540, 7513, 689, 519, 7633, 936, 513, 1279, 1974, 540, 942, 563, 302, 4614, 18576, 5540, 476, 2568, 260, 540, 2021, 936, 519, 2085, 540, 476, 2568, 543, 568, 513, 2101, 1857, 1072, 1966, 563, 299, 11691, 519, 13210, 454, 21848, 1644, 3676, 899, 21404, 666, 581, 14284, 952, 649, 2482, 1434, 13210, 2038, 538, 1272, 543, 3136, 873, 1134, 883, 938, 2663, 1296, 563, 5978, 15730, 1296, 616, 2527, 1947, 1271, 538, 18413, 1524, 7850, 5642, 5860, 602, 786, 4196, 721, 1134, 883, 938, 2663, 1296, 269, 4438, 713, 942, 5642, 568, 16111, 759, 528, 6883, 543, 8108, 269, 634, 2557, 540, 5250, 568, 3152, 982, 759, 26975, 799, 1797, 649, 991, 547, 11694, 713, 1184, 676, 1818, 2386, 7513, 6981, 568, 7850, 563, 10000, 547, 476, 2412, 260, 540, 8445, 5642, 2527, 568, 9788, 1524, 538, 519, 18295, 1296, 865, 621, 779, 4105, 602, 938, 1762, 1004, 1205, 7850, 7513, 543, 6171, 667, 543, 4497, 2933, 538, 2238, 602, 786, 4217, 609, 5642, 2679, 563, 3528, 938, 476, 736, 779, 519, 1560, 814, 6913, 8445, 5642, 2527, 543, 676, 519, 2085, 540, 827, 476, 3374, 649, 7930, 1376, 547, 6336, 5642, 5860, 865, 952, 649, 1810, 1406, 1902, 2038, 630, 20041, 519, 5642, 4871, 264, 649, 786, 581, 2713, 513, 1804, 6712, 540, 938, 2729, 609, 4057, 5642, 5860, 543, 693, 3152, 1981, 540, 3384, 21404, 563, 9773, 6458, 568, 606, 1898, 8770, 269, 898, 779, 1909, 11498, 3564, 5250, 540, 7633, 543, 4522, 269, 898, 568, 849, 1898, 585, 4887, 19432, 543, 824, 10894, 3157, 269, 1403, 7513, 568, 538, 2110, 3761, 585, 891, 3157, 707, 1560, 786, 11198, 7513, 689, 707, 2048, 14752, 4871, 685, 585, 946, 1141, 621, 568, 2877, 563, 9773, 6458, 4170, 616, 5207, 1282, 519, 18295, 1296, 267, 6379, 267, 14915, 908, 543, 11361, 2021, 563, 9773, 6458, 4616, 814, 1044, 3254, 547, 581, 1970, 538, 18295, 6690, 609, 519, 5855, 1373, 602, 2442, 11326, 4043, 547, 9004, 519, 10683, 1426, 1895, 15587, 563, 3080, 540, 519, 3466, 6690, 616, 19234, 609, 568, 968, 4707, 17154, 6100, 2755, 513, 17154, 2732, 666, 581, 513, 1360, 2635, 835, 267, 922, 1271, 547, 917, 875, 547, 12990, 3536, 602, 949, 522, 2466, 1898, 5567, 676, 9319, 1426, 2516, 971, 607, 10683, 563, 303, 27389, 3599, 543, 14915, 566, 454, 9773, 6458, 10338, 4679, 1282, 6379, 865, 972, 568, 1100, 10565, 2333, 538, 519, 10421, 585, 7513, 1282, 713, 942, 563, 18131, 849, 3132, 811, 522, 652, 4088, 1282, 6379, 799, 2337, 2149, 7633, 563, 12179, 5642, 2527, 4503, 1282, 6379, 543, 14915, 566, 568, 2356, 17468, 1369, 519, 3275, 1739, 4332, 610, 649, 22135, 540, 4816, 563, 5804, 827, 476, 3393, 1296, 540, 2085, 5642, 2530, 4679, 547, 476, 272, 1107, 476, 273, 260, 829, 1032, 543, 909, 547, 476, 273, 1107, 476, 275, 260, 693, 519, 12614, 540, 22797, 269, 901, 568, 1813, 547, 519, 6175, 538, 522, 652, 4088, 799, 568, 513, 5642, 8825, 9449, 269, 5403, 2173, 523, 641, 30167, 2021, 4061, 723, 513, 3152, 991, 585, 7513, 563, 272, 1107, 476, 274, 476, 4335, 16936, 27473, 454, 275, 1107, 476, 279, 476, 10384, 8406, 27473, 454, 280, 1107, 476, 1556, 476, 1911, 271, 16936, 269, 1485, 454, 1321, 1107, 476, 1240, 476, 9873, 271, 16936, 27473, 454, 866, 1107, 476, 2004, 476, 1911, 271, 16936, 27473, 454, 18131, 476, 2004, 266, 476, 9873, 271, 16936, 27473, 454, 2005, 568, 5227, 547, 723, 476, 274, 5713, 829, 1554, 540, 3536, 602, 2270, 3362, 12842, 7513, 563, 8489, 547, 1205, 25289, 454, 763, 1655, 2959, 540, 7513, 2097, 689, 10683, 3536, 607, 891, 616, 519, 1034, 3362, 12842, 269, 6153, 2959, 912, 268, 22447, 267, 10381, 543, 15446, 327, 4669, 454, 268, 645, 2158, 540, 3165, 19838, 269, 17646, 2740, 521, 731, 1149, 543, 13687, 563, 268, 5682, 21364, 5388, 19838, 269, 7935, 19233, 267, 536, 758, 669, 1195, 630, 25388, 1632, 689, 891, 2959, 568, 4057, 994, 268, 715, 7491, 267, 5452, 563, 2690, 1346, 945, 616, 26178, 703, 26985, 610, 17154, 972, 616, 10682, 3681, 2139, 538, 519, 1106, 540, 25167, 5144, 8925, 543, 24799, 563, 5278, 2188, 616, 849, 1634, 547, 21391, 7513, 10338, 912, 268, 3536, 1164, 538, 20239, 919, 267, 19838, 269, 24583, 1023, 454, 268, 16639, 5627, 3404, 531, 919, 267, 19838, 22156, 454, 268, 8899, 6171, 667, 454, 268, 4400, 9770, 6981, 454, 268, 15742, 2564, 2175, 543, 6527, 563, 305, 1961, 540, 12192, 667, 630, 9773, 6458, 779, 645, 13697, 26695, 24791, 667, 568, 1898, 585, 519, 2500, 10338, 540, 7513, 689, 519, 1507, 16892, 563, 763, 1292, 1106, 540, 6171, 667, 2501, 689, 7943, 543, 513, 1454, 4130, 6712, 689, 930, 3536, 269, 4495, 8311, 1242, 883, 606, 3742, 1106, 621, 666, 5351, 538, 519, 5250, 540, 5642, 563, 24791, 667, 568, 3226, 1271, 1282, 6379, 543, 538, 2367, 641, 30167, 2021, 269, 4347, 11351, 1282, 6379, 666, 4734, 20169, 9002, 28119, 1813, 547, 3668, 4598, 547, 7943, 538, 519, 2038, 2022, 23196, 1974, 563, 763, 11361, 949, 991, 3063, 6171, 667, 538, 519, 1106, 540, 9360, 547, 5351, 7513, 10338, 543, 2226, 5642, 2527, 602, 666, 14016, 622, 1282, 22797, 563, 291, 2884, 776, 2959, 540, 6171, 667, 1331, 13687, 267, 27966, 267, 5798, 267, 17228, 602, 723, 1044, 6534, 547, 11158, 1769, 543, 3536, 25167, 609, 6171, 667, 19838, 269, 12540, 25978, 563, 305, 1961, 540, 3635, 538, 7303, 21404, 454, 19894, 2168, 2534, 666, 1404, 606, 1271, 1909, 538, 4509, 2635, 7633, 269, 11644, 11851, 338, 2566, 593, 519, 5642, 547, 5352, 1507, 5122, 14768, 799, 12954, 7777, 1436, 540, 5642, 563, 19865, 568, 1271, 693, 782, 5933, 540, 1272, 855, 1382, 814, 3254, 602, 1453, 945, 7119, 538, 2597, 12946, 3635, 602, 568, 5420, 547, 1164, 1764, 723, 2362, 5642, 5860, 3379, 547, 1447, 3742, 1453, 269, 7665, 574, 2358, 5642, 4222, 2038, 538, 1272, 666, 7413, 519, 2360, 540, 5642, 2530, 2663, 538, 1272, 1141, 5826, 1287, 3587, 1271, 563, 2467, 616, 1808, 2010, 540, 3635, 602, 723, 513, 2318, 1198, 593, 5642, 1072, 912, 268, 13379, 12946, 281, 1490, 7416, 6972, 267, 28185, 3101, 267, 19482, 267, 25047, 16246, 267, 14912, 3092, 563, 268, 18650, 2866, 281, 700, 14823, 12035, 602, 616, 24482, 811, 4101, 936, 942, 269, 630, 288, 20624, 779, 2168, 2534, 4808, 4363, 4887, 14304, 2238, 593, 693, 2547, 476, 273, 2395, 1142, 3018, 4700, 3525, 4733, 547, 1164, 1764, 2238, 267, 2523, 2110, 28377, 540, 1164, 8515, 5322, 616, 3810, 6225, 281, 19838, 269, 667, 3496, 267, 14912, 270, 6339, 4252, 267, 17281, 267, 1236, 6235, 563, 268, 7352, 1214, 281, 12056, 538, 513, 3099, 540, 5751, 786, 948, 547, 4161, 7633, 543, 6091, 593, 513, 1114, 1377, 563, 268, 18696, 543, 22994, 1006, 281, 20113, 602, 2087, 3666, 543, 10688, 616, 849, 1271, 607, 789, 666, 948, 2061, 8813, 602, 666, 1291, 547, 18655, 2663, 538, 1272, 563, 2026, 585, 519, 2597, 2530, 3069, 267, 2090, 723, 3254, 602, 10683, 568, 711, 519, 3983, 18560, 269, 2060, 621, 779, 1164, 3940, 1543, 10683, 3536, 666, 1832, 596, 4743, 2407, 518, 585, 3476, 543, 4061, 5329, 519, 544, 4875, 625, 693, 15922, 269, 634, 3940, 849, 2337, 547, 1628, 543, 2226, 4887, 1247, 519, 7513, 666, 948, 2569, 519, 2179, 540, 3170, 12842, 676, 519, 1560, 563, 2467, 568, 865, 1454, 547, 2648, 827, 10683, 3536, 585, 1434, 1072, 269, 1924, 8259, 596, 616, 8572, 547, 8532, 621, 1813, 547, 2564, 4128, 1810, 1406, 581, 12922, 547, 1331, 621, 538, 513, 7059, 2732, 563, 310, 5109, 596, 1390, 1072, 543, 2178, 7633, 2336, 10673, 3534, 568, 513, 8036, 12594, 626, 945, 8255, 543, 22595, 32657, 7257, 2983, 13717, 454, 2252, 596, 1131, 899, 547, 1205, 538, 5905, 609, 5213, 3534, 543, 1265, 856, 811, 827, 1200, 2533, 1107, 1287, 4945, 1934, 454, 5319, 2809, 713, 5816, 286, 8437, 593, 891, 824, 4930, 2854, 676, 5213, 3534, 256, 0, 1103, 3703, 2296, 267, 596, 666, 5815, 602, 1079, 5396, 267, 1919, 610, 3871, 616, 4625, 1114, 676, 6031, 827, 835, 540, 873, 912, 6546, 781, 1776, 11337, 1479, 540, 3165, 454, 6546, 781, 513, 1114, 11337, 1479, 540, 3165, 454, 2005, 666, 581, 1031, 8231, 520, 574, 267, 593, 922, 1378, 267, 538, 1585, 6381, 269, 1403, 267, 585, 1383, 267, 18825, 6770, 909, 513, 1641, 602, 267, 538, 707, 6644, 267, 568, 4986, 547, 798, 609, 519, 4429, 763, 1101, 3364, 602, 3357, 547, 2247, 729, 834, 6546, 781, 513, 2898, 1007, 3440, 3014, 257, 610, 834, 6546, 781, 513, 1114, 3440, 3014, 2580, 855, 602, 6031, 568, 5097, 1031, 585, 3871, 543, 711, 1919, 269, 1306, 10084, 23272, 974, 5018, 267, 713, 568, 811, 1455, 538, 2549, 292, 982, 5696, 292, 269, 1703, 616, 930, 7648, 593, 519, 8360, 1317, 834, 4252, 3014, 257, 814, 2097, 547, 1611, 513, 1533, 540, 12602, 267, 610, 513, 3510, 563, 17764, 267, 596, 1616, 4429, 2252, 649, 616, 4481, 6158, 827, 513, 1920, 4759, 267, 683, 13607, 1143, 568, 513, 1434, 2262, 269, 630, 2005, 1281, 711, 4019, 585, 2828, 267, 2705, 8094, 6312, 1258, 720, 1655, 15735, 610, 3870, 22451, 3254, 593, 519, 4493, 540, 1920, 2078, 267, 607, 538, 1870, 543, 6214, 454, 310, 3480, 11951, 1281, 711, 723, 513, 1463, 6697, 547, 6095, 600, 267, 607, 972, 568, 1100, 10952, 6498, 540, 3536, 607, 972, 568, 538, 25072, 545, 610, 2757, 4457, 4915, 563, 2691, 519, 1523, 568, 12261, 267, 6095, 600, 568, 3622, 12261, 607, 8337, 267, 543, 519, 6587, 607, 9023, 269, 1403, 596, 616, 3843, 547, 8190, 519, 3312, 2796, 543, 3277, 547, 8109, 2035, 540, 8337, 4429, 1103, 9275, 1977, 2296, 596, 723, 602, 781, 513, 2898, 1412, 333, 1278, 1650, 267, 609, 8561, 593, 1412, 3369, 1961, 8339, 901, 1482, 2497, 666, 581, 4294, 547, 930, 540, 519, 824, 4267, 1934, 267, 971, 607, 834, 7474, 781, 513, 2898, 1412, 333, 1278, 3440, 3014, 2668, 6423, 5291, 2517, 13559, 3405, 626, 2593, 270, 639, 720, 21669, 19351, 1961, 5991, 1278, 270, 4586, 1103, 1249, 267, 1210, 713, 2497, 596, 1223, 4440, 1256, 1205, 2476, 609, 513, 21055, 8144, 281, 834, 8117, 602, 781, 4429, 296, 1810, 1405, 917, 945, 5143, 596, 602, 596, 666, 1405, 946, 19804, 696, 8696, 1354, 2929, 269, 631, 8862, 781, 9906, 9218, 4667, 547, 10990, 609, 602, 25195, 912, 636, 696, 8696, 630, 29951, 264, 3875, 855, 711, 6378, 538, 2179, 2433, 19804, 696, 8696, 2929, 1919, 547, 798, 454, 3383, 267, 19016, 1227, 267, 594, 1810, 1405, 1265, 4376, 4636, 609, 707, 8144, 563, 6546, 1767, 267, 19804, 696, 8696, 568, 606, 13016, 2262, 538, 2296, 1107, 4063, 875, 5839, 17524, 534, 4429, 296, 3494, 596, 2811, 3168, 585, 630, 330, 3739, 264, 1079, 5017, 609, 835, 6149, 563, 7343, 30068, 267, 621, 781, 513, 1360, 2025, 2856, 563, 15987, 267, 607, 635, 539, 1014, 5915, 564, 686, 9410, 32625, 912, 2691, 538, 1686, 814, 972, 2479, 1044, 513, 21045, 540, 5017, 543, 513, 17732, 540, 10007, 888, 312, 334, 1609, 1195, 803, 329, 528, 524, 783, 881, 5964, 267, 829, 334, 682, 1019, 518, 517, 1714, 911, 321, 26953, 513, 552, 12848, 11188, 4302, 512, 1329, 324, 17134, 340, 10623, 269, 2443, 594, 993, 811, 11727, 267, 855, 1352, 3893, 519, 2816, 1317, 1352, 814, 4296, 563, 321, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 3662, 4522, 267, 5642, 267, 32356, 543, 21217, 941, 1031, 585, 23732, 269, 1261, 5417, 19843, 543, 610, 23788, 941, 1500, 689, 17207, 269, 4033, 2694, 540, 519, 2831, 941, 1500, 883, 2645, 267, 27022, 267, 11149, 543, 3615, 585, 4948, 1272, 269, 12292, 723, 3177, 6667, 543, 519, 5748, 585, 1454, 540, 13961, 802, 11986, 30060, 543, 2686, 1272, 563, 6524, 519, 7504, 3357, 267, 5243, 269, 634, 5243, 5645, 13907, 593, 741, 1394, 610, 941, 8036, 547, 2721, 513, 968, 339, 9545, 12251, 6100, 634, 911, 341, 12251, 729, 4646, 676, 1079, 1279, 18635, 4171, 4395, 4388, 4780, 3022, 585, 13613, 547, 519, 5243, 685, 17525, 269, 11068, 3118, 1524, 519, 18635, 267, 513, 7406, 729, 7923, 602, 729, 2901, 538, 21117, 1106, 610, 513, 24050, 609, 2121, 1154, 543, 555, 29330, 269, 1677, 713, 513, 476, 2568, 610, 811, 1790, 895, 4452, 729, 7923, 269, 634, 911, 341, 12251, 729, 849, 1031, 547, 4163, 3595, 6229, 282, 17212, 1324, 519, 4807, 540, 713, 2816, 269, 17268, 941, 3957, 2687, 547, 922, 5920, 610, 23339, 2944, 676, 922, 4487, 267, 971, 607, 4414, 1606, 13607, 267, 3171, 1430, 2000, 766, 21307, 8175, 267, 543, 570, 809, 268, 12537, 3620, 529, 6879, 1752, 269, 1284, 849, 8036, 938, 5243, 585, 7703, 22678, 1746, 543, 1166, 5241, 4130, 2831, 856, 540, 15720, 563, 31333, 802, 11986, 630, 14937, 20584, 264, 5678, 454, 31333, 802, 1731, 2967, 685, 335, 578, 1695, 338, 7236, 630, 14937, 20584, 5678, 264, 568, 519, 1893, 540, 519, 13961, 802, 11986, 1080, 527, 777, 328, 563, 1805, 1559, 540, 519, 13961, 802, 11986, 454, 12606, 938, 26496, 543, 1451, 513, 3787, 811, 827, 519, 4563, 20584, 4658, 269, 0, 1607, 1867, 11828, 519, 2956, 540, 2038, 7924, 538, 1931, 547, 5965, 10708, 547, 581, 2852, 543, 4876, 4712, 269, 898, 2829, 602, 7924, 22613, 936, 883, 824, 1641, 2127, 971, 607, 2257, 543, 2979, 543, 1966, 6061, 1983, 538, 1272, 269, 634, 4589, 2303, 602, 16046, 6044, 547, 519, 3395, 1702, 3490, 593, 7924, 543, 1210, 1699, 6364, 1239, 543, 1655, 2853, 666, 948, 8115, 713, 7934, 543, 1291, 547, 811, 5423, 1053, 563, 11742, 1677, 2920, 281, 1323, 3397, 12629, 585, 5917, 3496, 32183, 17402, 585, 5441, 543, 19396, 11773, 454, 7659, 5320, 281, 12474, 9351, 281, 0, 1607, 3296, 568, 689, 519, 1433, 834, 288, 15015, 2986, 11202, 1108, 2580, 676, 717, 3578, 4471, 5062, 3519, 24274, 269, 4746, 2139, 689, 8835, 281, 589, 15015, 2986, 11202, 1108, 563, 290, 4958, 24452, 568, 513, 1360, 2147, 855, 811, 4049, 2783, 4611, 689, 2068, 540, 519, 11178, 1282, 12499, 268, 17458, 710, 1272, 610, 538, 2038, 6689, 267, 2356, 17729, 1282, 519, 1101, 1032, 269, 634, 1126, 1281, 711, 1020, 267, 3788, 513, 21221, 267, 972, 568, 811, 610, 1447, 2347, 2530, 540, 2247, 267, 519, 17534, 616, 1360, 5394, 267, 11469, 1804, 267, 543, 519, 17737, 1360, 20805, 592, 748, 269, 32279, 1896, 2818, 540, 513, 1920, 616, 1336, 547, 581, 7092, 689, 621, 269, 634, 1533, 568, 849, 12212, 6825, 569, 22420, 563, 2252, 519, 11178, 21131, 581, 2799, 267, 972, 949, 1267, 608, 2684, 11209, 6193, 979, 3438, 267, 610, 9122, 578, 781, 2068, 269, 898, 568, 6353, 676, 23822, 618, 540, 519, 11178, 14189, 267, 1612, 2135, 903, 916, 540, 27621, 2787, 540, 519, 2295, 267, 4439, 3101, 540, 519, 4064, 267, 543, 8401, 10761, 269, 769, 713, 519, 7245, 540, 13265, 781, 11178, 4679, 519, 2589, 563, 763, 2078, 1063, 519, 11178, 14189, 543, 2489, 2068, 568, 711, 5693, 6956, 269, 1703, 5526, 547, 581, 3982, 12946, 2390, 519, 8401, 1062, 543, 849, 2390, 519, 10894, 3157, 2921, 1747, 1369, 519, 1560, 269, 634, 3742, 6240, 4667, 547, 581, 834, 628, 8557, 514, 2437, 513, 6219, 602, 3568, 5176, 476, 1015, 829, 1298, 267, 540, 19381, 514, 269, 0, 10932, 7433, 593, 853, 699, 8040, 7151, 1923, 11762, 543, 4270, 3267, 769, 1840, 267, 713, 1557, 1131, 11338, 605, 742, 518, 519, 24117, 585, 1250, 2123, 24235, 607, 547, 2436, 2318, 11475, 616, 607, 5739, 607, 2942, 11475, 269, 9502, 540, 16301, 634, 1977, 11595, 9218, 630, 1220, 271, 264, 5581, 8305, 9189, 607, 834, 320, 6671, 267, 4542, 545, 267, 543, 936, 13678, 680, 1881, 17748, 267, 6644, 267, 610, 3239, 1701, 853, 699, 8040, 540, 28544, 281, 4256, 12186, 593, 519, 2657, 540, 24771, 20661, 634, 3483, 540, 713, 2689, 568, 547, 1459, 4681, 593, 519, 2360, 540, 11475, 540, 10172, 593, 1072, 4093, 1644, 547, 4587, 4079, 267, 971, 607, 2168, 543, 2790, 8647, 630, 14588, 32496, 264, 543, 2949, 1134, 5630, 543, 9228, 2298, 540, 1272, 630, 3467, 17618, 1916, 1805, 699, 19685, 543, 922, 12343, 585, 7292, 12102, 6107, 1923, 14411, 4429, 29638, 11475, 3277, 547, 519, 1915, 5314, 540, 2516, 1759, 593, 741, 2596, 4008, 14487, 607, 5256, 610, 4775, 269, 634, 4008, 2861, 11475, 616, 519, 16866, 20241, 540, 5256, 543, 4775, 2516, 602, 616, 3838, 676, 519, 2146, 267, 513, 2528, 267, 513, 2486, 269, 853, 699, 19685, 4828, 910, 3312, 268, 1074, 14492, 853, 699, 19685, 4828, 645, 3073, 518, 269, 32653, 281, 3503, 513, 476, 4335, 30087, 1557, 827, 3765, 704, 4003, 269, 17564, 540, 519, 5401, 281, 1284, 782, 6560, 609, 11994, 3232, 269, 1703, 723, 1044, 2053, 950, 1866, 723, 32616, 539, 721, 1759, 1152, 593, 519, 9660, 649, 20595, 610, 519, 1259, 649, 14437, 269, 853, 699, 8040, 4828, 910, 4828, 29248, 790, 454, 2252, 606, 1367, 666, 1405, 2463, 519, 2816, 2576, 3116, 568, 3257, 267, 1287, 621, 781, 513, 11029, 1106, 540, 7130, 269, 1284, 616, 782, 519, 1482, 910, 4061, 649, 1058, 1521, 1142, 824, 538, 519, 1482, 1259, 269, 901, 568, 519, 15864, 1259, 547, 4894, 7130, 543, 11475, 538, 519, 9036, 563, 1805, 699, 8040, 616, 1419, 2919, 936, 835, 781, 1272, 942, 998, 891, 7301, 10054, 29596, 609, 519, 1184, 9648, 1016, 4621, 19290, 693, 2053, 269, 853, 699, 19685, 814, 1044, 2944, 1996, 2043, 610, 2516, 540, 1004, 1759, 593, 14940, 267, 2085, 267, 14227, 4567, 267, 4008, 267, 9659, 267, 543, 5198, 563, 13625, 827, 853, 699, 8040, 910, 476, 277, 1626, 9293, 1923, 19258, 548, 2421, 454, 1805, 699, 19685, 1557, 910, 11426, 10749, 1299, 5675, 7896, 2311, 4706, 2507, 853, 699, 19685, 1557, 910, 4129, 1518, 519, 1259, 596, 11883, 609, 707, 6780, 609, 938, 942, 2389, 6479, 3028, 3399, 2324, 593, 707, 12031, 1318, 2476, 609, 1283, 27677, 577, 5583, 4843, 676, 519, 2754, 4855, 856, 2596, 3268, 875, 547, 4309, 513, 17096, 2507, 10749, 6168, 853, 699, 19685, 910, 634, 19630, 2065, 7736, 10749, 6168, 853, 699, 19685, 910, 634, 19630, 2065, 7736, 853, 699, 8040, 910, 519, 2262, 1586, 5526, 547, 723, 606, 796, 3430, 847, 633, 13720, 269, 1284, 616, 865, 1031, 547, 4466, 543, 1210, 1775, 10749, 6168, 853, 699, 19685, 1107, 634, 15474, 1306, 1051, 1107, 642, 520, 1084, 334, 822, 331, 31463, 2507, 1879, 4896, 13789, 593, 713, 1826, 540, 11475, 568, 513, 4625, 1114, 1650, 1467, 267, 540, 1576, 563, 1103, 10390, 267, 853, 699, 9189, 568, 513, 14686, 14049, 4540, 1472, 721, 269, 898, 1419, 9072, 1004, 609, 3309, 5920, 267, 4978, 267, 543, 2623, 267, 799, 3310, 1004, 781, 3664, 269, 898, 1223, 581, 5739, 1510, 1004, 16734, 621, 269, 853, 699, 8040, 1869, 1491, 1747, 2221, 267, 2943, 1004, 3788, 7109, 908, 891, 5615, 267, 621, 1590, 581, 11074, 563, 13625, 593, 853, 699, 19685, 543, 2776, 9080, 823, 1996, 24771, 4658, 4828, 593, 853, 699, 19685, 543, 2776, 9080, 823, 1996, 24771, 4658, 269, 9534, 1063, 1004, 538, 1022, 2486, 267, 538, 1022, 942, 1974, 543, 2197, 616, 711, 2653, 267, 2864, 11684, 543, 10427, 1184, 267, 19890, 711, 27226, 540, 1114, 11475, 543, 2010, 540, 7130, 269, 22731, 10749, 281, 10749, 593, 11475, 609, 5131, 13129, 3817, 256, 10749, 593, 11475, 910, 1557, 593, 3460, 540, 1272, 269, 1403, 596, 723, 2042, 609, 1022, 1826, 540, 4081, 7084, 267, 596, 991, 547, 2995, 721, 519, 4170, 267, 543, 938, 3318, 5856, 786, 2347, 513, 2688, 1557, 2687, 547, 707, 7569, 1369, 519, 1095, 564, 942, 18134, 269, 10374, 4828, 2201, 853, 699, 8040, 910, 588, 559, 690, 345, 582, 514, 9884, 1460, 338, 924, 2593, 634, 5294, 543, 931, 540, 8305, 19685, 269, 4828, 676, 12311, 274, 330, 267, 4400, 3427, 267, 1547, 10374, 2275, 7491, 907, 4828, 593, 1772, 853, 699, 19685, 769, 5271, 3386, 286, 4828, 593, 1772, 853, 699, 19685, 769, 5271, 3386, 286, 476, 15876, 276, 9293, 476, 278, 9664, 269, 8058, 2859, 10371, 1403, 596, 21645, 2907, 917, 267, 513, 8305, 9189, 568, 513, 31633, 602, 568, 2356, 27105, 610, 9065, 269, 10261, 1557, 3732, 593, 834, 1805, 699, 8040, 543, 2776, 9080, 823, 8018, 22172, 10749, 2201, 853, 699, 8040, 910, 4828, 5675, 6435, 2201, 4802, 454, 11577, 19303, 543, 853, 699, 19685, 5131, 10749, 910, 12854, 22967, 2593, 853, 699, 9189, 568, 5219, 547, 6671, 6644, 607, 1022, 2790, 3239, 540, 1514, 1895, 7488, 540, 1367, 3604, 269, 2311, 930, 1448, 267, 8305, 9189, 666, 849, 581, 2938, 538, 2318, 19773, 267, 585, 606, 3236, 519, 8305, 9189, 585, 7489, 4892, 1373, 1434, 538, 519, 2361, 540, 9119, 269, 853, 699, 9189, 568, 3006, 519, 5748, 540, 14882, 269, 853, 699, 9189, 4828, 910, 27842, 1299, 6201, 910, 3883, 11988, 18350, 6153, 8305, 9189, 1557, 3584, 543, 1454, 811, 568, 1336, 1934, 256, 3883, 11988, 24248, 269, 2290, 2115, 547, 1246, 1697, 1557, 3898, 267, 607, 621, 2337, 519, 20485, 543, 1866, 547, 1174, 827, 519, 8226, 540, 8305, 9189, 269, 853, 699, 9189, 568, 899, 513, 6003, 602, 19752, 519, 10182, 543, 10385, 540, 513, 1895, 540, 1004, 609, 2147, 3206, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 2552, 6479, 2876, 1559, 543, 11814, 633, 15350, 281, 2776, 4211, 565, 3518, 1014, 3013, 543, 922, 7736, 1005, 6181, 9313, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 1950, 2078, 1063, 3140, 3965, 267, 2686, 3961, 267, 543, 519, 6214, 540, 862, 655, 2610, 676, 6313, 840, 4211, 565, 3518, 1014, 12977, 543, 741, 11972, 23543, 538, 4207, 7239, 269, 1284, 786, 2263, 875, 1114, 2516, 723, 9112, 6386, 827, 519, 3504, 2250, 267, 10771, 1978, 3344, 1247, 3623, 9760, 1866, 267, 543, 875, 891, 6386, 3337, 7104, 9163, 543, 1217, 1459, 6377, 9840, 269, 1635, 7421, 29653, 12583, 998, 2013, 2090, 6537, 689, 1585, 4525, 538, 519, 17113, 267, 649, 2832, 547, 6536, 2565, 3206, 1983, 2556, 547, 6330, 2221, 779, 5051, 8701, 1242, 5717, 1472, 6561, 267, 18541, 267, 543, 1514, 5126, 780, 272, 269, 4985, 281, 1733, 846, 12815, 25198, 2496, 23208, 8823, 616, 5714, 543, 544, 4150, 762, 21437, 8032, 676, 1379, 6384, 267, 20748, 9620, 267, 543, 6848, 2242, 269, 1306, 971, 267, 1018, 4991, 15422, 543, 16618, 1419, 9356, 17888, 8456, 2509, 5198, 267, 4008, 267, 1362, 267, 543, 824, 12508, 540, 3017, 269, 901, 3296, 12857, 1883, 2035, 1644, 547, 3140, 3965, 267, 7104, 3961, 267, 543, 519, 6214, 540, 862, 655, 2610, 267, 3246, 513, 7811, 5943, 585, 3695, 840, 4211, 565, 3518, 1014, 12977, 543, 741, 5571, 3310, 538, 2413, 2053, 780, 273, 269, 8865, 5530, 476, 272, 1107, 15609, 19088, 14708, 281, 3245, 10552, 628, 1009, 344, 14205, 1137, 547, 32201, 3212, 553, 1218, 692, 2690, 5553, 267, 2442, 11994, 540, 519, 15609, 10340, 14251, 730, 1063, 1079, 26037, 281, 10795, 5260, 698, 2044, 630, 324, 3052, 1421, 9253, 18582, 5459, 781, 7442, 30575, 696, 334, 264, 543, 7329, 22690, 545, 10103, 609, 2470, 630, 6124, 6520, 12496, 1040, 1717, 267, 9444, 8305, 9189, 19306, 519, 6988, 540, 713, 7524, 2528, 602, 4278, 1882, 2066, 12379, 334, 15330, 3821, 585, 5176, 1079, 27453, 269, 769, 713, 9074, 267, 649, 4983, 875, 12721, 6386, 827, 519, 15609, 7153, 267, 7960, 267, 543, 12969, 539, 609, 6626, 23786, 989, 31789, 267, 3226, 1282, 8090, 540, 15398, 8082, 1063, 6805, 2950, 543, 1533, 8128, 269, 4841, 786, 5659, 3119, 2959, 267, 1519, 7810, 13798, 1182, 267, 2951, 518, 6589, 267, 543, 2413, 14046, 1568, 267, 547, 1174, 519, 2188, 7700, 547, 519, 4070, 543, 632, 18586, 540, 15609, 7242, 3098, 780, 274, 269, 8865, 5530, 476, 273, 1107, 25069, 322, 5274, 15762, 337, 12715, 281, 681, 3770, 610, 2311, 10635, 640, 2496, 763, 3239, 540, 2295, 10868, 543, 1232, 777, 2787, 12738, 1851, 519, 25069, 14369, 814, 1044, 1031, 1312, 547, 17854, 5053, 21037, 543, 547, 8661, 5065, 4187, 1996, 3864, 15746, 269, 8616, 267, 519, 4641, 3788, 2484, 811, 13857, 982, 2901, 7664, 5267, 269, 14301, 2390, 15456, 2963, 267, 17801, 2129, 626, 7595, 6054, 267, 543, 10236, 1670, 6436, 267, 713, 3296, 28807, 519, 1950, 10096, 3297, 25069, 322, 1480, 15093, 267, 11744, 875, 5380, 6521, 4470, 593, 835, 781, 642, 656, 720, 1448, 1369, 3677, 1914, 19205, 8658, 269, 5015, 267, 649, 1865, 519, 6286, 540, 891, 13346, 6386, 585, 4207, 11204, 2486, 267, 2523, 3823, 6805, 2924, 267, 3909, 5191, 267, 543, 3084, 3961, 780, 275, 269, 8865, 5530, 476, 274, 1107, 631, 895, 28265, 619, 543, 31790, 1275, 281, 8210, 5501, 543, 1234, 17474, 540, 3345, 3013, 781, 3689, 4975, 12706, 619, 692, 16524, 31083, 611, 15735, 676, 741, 13413, 538, 6792, 543, 6239, 3013, 267, 519, 631, 895, 28265, 518, 4529, 540, 3345, 3013, 27137, 607, 595, 1695, 758, 807, 267, 14929, 1168, 749, 267, 543, 1520, 6511, 1765, 17647, 1152, 5063, 6591, 6284, 607, 10427, 4683, 7239, 5827, 540, 4702, 26832, 6189, 267, 3384, 4359, 6694, 1949, 267, 543, 2502, 538, 1279, 26591, 4123, 5121, 269, 6736, 713, 3395, 4656, 267, 20887, 4478, 891, 2038, 2749, 26767, 3136, 547, 28511, 1813, 547, 29886, 28639, 543, 2144, 9778, 689, 8789, 3140, 27964, 269, 3414, 2673, 6514, 540, 18840, 1670, 1239, 267, 11265, 2079, 267, 543, 13354, 1353, 540, 7111, 1977, 5711, 5389, 267, 713, 9074, 32514, 919, 519, 3638, 13795, 540, 3345, 3013, 781, 1101, 4872, 543, 15109, 519, 29298, 540, 741, 2699, 18752, 585, 8938, 23867, 2540, 7391, 827, 4763, 267, 10014, 267, 543, 1617, 643, 5914, 6561, 780, 276, 269, 10390, 281, 19484, 12474, 1190, 623, 6814, 27870, 32213, 28358, 999, 692, 2026, 7152, 2429, 713, 1770, 267, 3140, 8823, 616, 2760, 6378, 610, 1799, 17014, 282, 3079, 267, 789, 11457, 2687, 547, 4657, 6848, 2115, 543, 14422, 269, 4475, 267, 9691, 2502, 609, 29653, 12583, 3587, 1898, 585, 5807, 5483, 5188, 267, 4101, 30566, 545, 6386, 267, 543, 5009, 12581, 6041, 538, 1857, 5624, 269, 1635, 10452, 593, 4245, 4121, 689, 840, 4211, 565, 3518, 1014, 12977, 267, 1053, 786, 11349, 4483, 571, 1076, 1983, 2556, 547, 20920, 609, 5571, 9840, 7282, 18189, 1436, 267, 1065, 27074, 566, 267, 543, 28160, 1436, 3646, 5001, 269, 11086, 267, 713, 1770, 6663, 547, 8300, 7279, 267, 6568, 267, 543, 2463, 585, 3309, 5380, 607, 7533, 3334, 540, 3743, 15114, 543, 5683, 14172, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 11293, 2084, 3778, 1772, 589, 11192, 9107, 28673, 563, 303, 4958, 754, 782, 596, 1616, 267, 855, 519, 1977, 6406, 2782, 5949, 269, 634, 5853, 619, 941, 6519, 2367, 269, 3776, 2797, 6138, 454, 529, 11566, 569, 5375, 269, 30385, 316, 1358, 666, 1405, 3833, 1689, 1686, 267, 865, 789, 1522, 607, 1134, 6861, 621, 269, 1656, 22293, 540, 454, 1492, 2250, 5956, 609, 519, 9552, 540, 1857, 10525, 540, 938, 1686, 269, 6465, 1132, 267, 4408, 540, 5656, 543, 3906, 3248, 16269, 782, 3095, 721, 547, 938, 2250, 267, 530, 11301, 543, 782, 269, 1684, 891, 818, 5766, 656, 3673, 1235, 2731, 3494, 602, 20375, 6131, 547, 519, 454, 18183, 539, 4733, 2014, 2731, 1350, 528, 1518, 8474, 286, 1403, 865, 267, 789, 616, 546, 3784, 982, 789, 1413, 267, 543, 602, 568, 23666, 1947, 29749, 563, 1432, 891, 6698, 540, 938, 1686, 798, 568, 8956, 519, 24279, 540, 1346, 945, 10692, 543, 5747, 585, 519, 28583, 2329, 267, 1317, 789, 454, 9188, 2925, 547, 581, 28165, 543, 15422, 267, 711, 585, 741, 8878, 540, 8474, 267, 855, 585, 741, 4339, 585, 2829, 2924, 543, 13190, 454, 5228, 513, 3844, 2229, 269, 1656, 1034, 540, 782, 585, 741, 8878, 540, 741, 5321, 543, 2829, 543, 513, 1259, 540, 1272, 563, 305, 2313, 547, 20121, 5797, 519, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 8466, 1315, 9147, 1315, 2776, 4211, 565, 3518, 1014, 17113, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 21026, 4000, 781, 5755, 14425, 616, 6059, 693, 476, 7871, 5479, 19726, 267, 543, 609, 938, 1459, 2504, 2557, 972, 1058, 581, 3592, 476, 1220, 1296, 540, 5755, 3761, 2451, 269, 21277, 1424, 5201, 689, 5755, 6238, 950, 519, 5755, 568, 5102, 591, 2213, 538, 5458, 14200, 883, 513, 5386, 8869, 1354, 621, 568, 27762, 883, 5458, 737, 9116, 956, 267, 1572, 26925, 563, 3891, 729, 4535, 538, 966, 699, 523, 580, 532, 267, 3162, 4000, 543, 5747, 972, 269, 3267, 15021, 568, 24776, 538, 1715, 31069, 267, 1715, 3162, 12986, 269, 634, 1101, 5755, 729, 4362, 1394, 538, 476, 9692, 272, 676, 513, 1895, 540, 20903, 9101, 525, 269, 1280, 6654, 4429, 13202, 476, 1789, 267, 476, 1001, 278, 6440, 3162, 4000, 568, 835, 540, 519, 1034, 7777, 268, 543, 4199, 11656, 2477, 538, 519, 1158, 267, 543, 5599, 21113, 616, 476, 2568, 2600, 540, 519, 2197, 781, 18666, 269, 634, 28595, 538, 20161, 5777, 936, 519, 2250, 1906, 1296, 814, 1044, 513, 2101, 9514, 547, 519, 3162, 3979, 4346, 267, 609, 519, 3747, 585, 1082, 540, 519, 7777, 2200, 530, 22135, 18368, 563, 10870, 531, 12074, 540, 3162, 4000, 910, 519, 2104, 540, 5755, 5599, 538, 3162, 4000, 476, 276, 8431, 269, 274, 269, 3162, 2455, 553, 1763, 12883, 676, 3213, 2788, 3658, 263, 6347, 25115, 12752, 476, 6187, 270, 5881, 264, 12752, 543, 519, 8892, 540, 5755, 5599, 3162, 4000, 729, 3710, 593, 5599, 543, 621, 3788, 519, 2518, 8998, 585, 519, 2872, 2676, 26536, 531, 15021, 781, 8143, 5755, 3785, 616, 4092, 538, 3162, 4000, 781, 631, 335, 636, 531, 18553, 11662, 1107, 513, 3148, 12926, 3638, 538, 5755, 269, 1280, 713, 2601, 621, 814, 13631, 1082, 1804, 5599, 3549, 547, 3715, 15183, 538, 713, 1858, 269, 476, 10695, 4939, 540, 519, 2698, 2179, 540, 5755, 3812, 538, 3162, 4000, 568, 24776, 538, 631, 335, 636, 531, 18553, 563, 21026, 4000, 568, 519, 11359, 4102, 2182, 5755, 16073, 538, 519, 1158, 543, 513, 2101, 1163, 7163, 540, 5755, 883, 519, 1158, 2344, 269, 898, 568, 849, 8185, 8200, 593, 5755, 585, 1379, 5108, 543, 568, 17935, 547, 6385, 4228, 922, 5755, 2861, 5108, 4390, 269, 898, 568, 849, 513, 2101, 1163, 7163, 540, 1379, 547, 20848, 538, 15231, 2477, 543, 2047, 547, 930, 2101, 1367, 5561, 538, 20787, 3711, 1664, 543, 21601, 28992, 563, 21026, 4000, 568, 835, 540, 519, 5763, 5006, 2477, 538, 2474, 540, 2067, 2200, 269, 898, 568, 513, 3056, 5599, 2197, 543, 621, 568, 12021, 585, 922, 7777, 2200, 267, 799, 1118, 909, 513, 1804, 6712, 540, 519, 4429, 5522, 11294, 636, 15183, 538, 3162, 4000, 269, 634, 1101, 31091, 8356, 1375, 1115, 941, 4362, 538, 3162, 4000, 538, 476, 4572, 275, 543, 2221, 267, 31091, 5599, 538, 3162, 4000, 6589, 585, 827, 476, 3199, 260, 540, 519, 1158, 781, 2698, 7727, 267, 1247, 922, 23080, 18123, 4564, 1472, 476, 2412, 260, 540, 519, 1158, 781, 14407, 2504, 563, 763, 14470, 2754, 808, 14684, 17566, 4566, 547, 9553, 5755, 538, 2098, 636, 2692, 8664, 267, 538, 519, 7262, 20787, 3711, 4618, 11662, 540, 570, 23176, 267, 2687, 547, 513, 1867, 593, 15571, 20787, 3711, 1664, 269, 1323, 6693, 298, 11445, 313, 21343, 9539, 7614, 5755, 568, 1419, 16320, 2350, 12792, 543, 616, 1336, 538, 5266, 6094, 694, 4461, 269, 634, 9156, 762, 5755, 14425, 538, 3162, 4000, 2179, 547, 930, 476, 5780, 269, 278, 5479, 9748, 267, 6697, 547, 6693, 10870, 531, 5599, 781, 4417, 538, 3162, 4000, 666, 1655, 581, 14360, 547, 519, 1376, 540, 4154, 5599, 538, 519, 3735, 476, 866, 555, 2540, 267, 3226, 593, 519, 31864, 31662, 8681, 267, 609, 519, 1101, 5755, 538, 3507, 762, 9522, 333, 1137, 1373, 13939, 593, 519, 4400, 557, 671, 5755, 2361, 2673, 547, 519, 13439, 1417, 31864, 31662, 8681, 4154, 15183, 269, 1717, 267, 3747, 3459, 547, 1332, 267, 7444, 693, 1101, 855, 1287, 4429, 10870, 531, 14086, 538, 3162, 4000, 269, 3162, 4000, 568, 835, 540, 519, 1283, 2947, 5755, 13143, 532, 2477, 538, 519, 1158, 269, 2859, 982, 513, 10116, 540, 519, 5755, 24776, 538, 3162, 4000, 568, 29633, 543, 621, 568, 519, 2197, 781, 3791, 4102, 2707, 540, 4914, 4747, 269, 1306, 538, 476, 1220, 275, 519, 5755, 543, 31429, 924, 2872, 540, 3162, 4000, 3177, 936, 476, 2004, 267, 1822, 6009, 543, 6383, 5176, 681, 2412, 4429, 15290, 729, 5755, 4362, 538, 5045, 21562, 910, 1236, 978, 12952, 23357, 950, 729, 5755, 4362, 538, 5045, 21562, 910, 15678, 330, 1415, 664, 269, 3057, 476, 1240, 267, 476, 1001, 272, 898, 729, 519, 1360, 1101, 5755, 16005, 2479, 4362, 538, 3162, 4000, 543, 621, 729, 24776, 689, 519, 3267, 3367, 2859, 269, 4197, 24542, 910, 10507, 330, 558, 563, 763, 1686, 540, 5755, 5599, 538, 3162, 4000, 568, 5702, 5532, 609, 519, 2804, 1646, 540, 519, 2197, 269, 20497, 5755, 5599, 862, 10642, 538, 519, 9456, 15729, 2282, 20703, 1084, 334, 538, 476, 5908, 275, 269, 634, 6602, 540, 19987, 538, 519, 3735, 476, 6942, 271, 338, 3366, 547, 7269, 540, 519, 15183, 538, 1931, 547, 2743, 519, 3395, 3747, 585, 5755, 563, 299, 17999, 5295, 853, 725, 538, 3162, 4000, 269, 7177, 1315, 2233, 6874, 3663, 282, 3267, 634, 6554, 543, 17721, 9922, 5665, 1379, 2371, 1034, 540, 873, 616, 676, 15021, 30187, 269, 2311, 476, 275, 267, 8517, 24448, 267, 5755, 30187, 918, 639, 850, 5295, 13749, 267, 568, 519, 4102, 1379, 6728, 538, 3162, 4000, 267, 4092, 538, 631, 335, 636, 531, 18553, 563, 21026, 4000, 781, 4620, 10635, 8707, 338, 2872, 3323, 538, 519, 476, 4198, 271, 338, 267, 950, 519, 1101, 5755, 3562, 2000, 1172, 1749, 630, 6311, 299, 264, 2030, 729, 3710, 693, 3276, 326, 269, 898, 729, 711, 2394, 811, 5063, 267, 2705, 267, 602, 513, 6464, 2872, 1759, 593, 2199, 6151, 2326, 2864, 982, 16865, 3049, 560, 4169, 2968, 2009, 269, 901, 7580, 634, 11906, 338, 12752, 538, 3162, 4000, 454, 21026, 4000, 910, 3162, 4000, 910, 634, 11635, 6520, 281, 5221, 519, 1101, 6705, 1185, 1702, 540, 4401, 11529, 267, 741, 15456, 4609, 616, 6353, 607, 11635, 6520, 630, 322, 269, 476, 1220, 2781, 1040, 1715, 2516, 540, 1004, 21945, 538, 3162, 4000, 693, 602, 942, 1185, 2178, 4296, 547, 5101, 4000, 269, 1358, 941, 2047, 18577, 547, 519, 645, 656, 340, 18702, 9082, 945, 1106, 519, 5354, 540, 3162, 4000, 781, 2551, 2221, 269, 0, 24552, 7404, 25581, 8231, 454, 27670, 540, 25581, 8231, 454, 23873, 9218, 8847, 585, 25581, 8231, 454, 290, 11857, 8847, 585, 25581, 8231, 454, 288, 968, 3559, 4771, 892, 8231, 602, 1110, 5809, 519, 1292, 8231, 267, 607, 538, 968, 294, 841, 666, 3094, 2223, 968, 294, 841, 1705, 3094, 2223, 968, 294, 841, 1223, 723, 4465, 1848, 589, 2243, 1419, 5956, 609, 606, 25581, 8231, 281, 968, 12441, 717, 841, 3094, 9495, 968, 27745, 717, 841, 6336, 9495, 634, 1585, 3029, 540, 519, 13450, 666, 267, 723, 267, 568, 267, 543, 1281, 4749, 957, 607, 18559, 8270, 2456, 269, 0, 2252, 596, 1374, 707, 12550, 547, 960, 609, 513, 2039, 5542, 267, 519, 12550, 1590, 581, 2111, 547, 3313, 2436, 513, 2039, 568, 2965, 5697, 269, 1403, 1945, 824, 982, 513, 2039, 568, 5697, 630, 7945, 607, 513, 5750, 610, 513, 3337, 1070, 519, 12550, 786, 4440, 10514, 269, 634, 1739, 5650, 3096, 519, 966, 10621, 7392, 11243, 1599, 547, 2697, 519, 1826, 540, 1843, 602, 568, 4867, 5697, 912, 16039, 326, 26213, 7392, 11243, 263, 5353, 3005, 264, 7736, 4427, 454, 2252, 513, 16186, 1843, 568, 5697, 267, 519, 15516, 326, 26213, 10525, 16186, 269, 1403, 707, 12550, 1568, 1152, 609, 9832, 267, 596, 666, 946, 606, 1403, 3948, 547, 2327, 602, 513, 2039, 568, 5697, 269, 901, 1383, 10525, 513, 5048, 543, 608, 1080, 519, 5650, 952, 519, 1699, 5542, 568, 711, 513, 16186, 1843, 912, 2252, 7392, 11243, 263, 5353, 3005, 264, 2999, 285, 834, 305, 1052, 257, 3973, 15516, 326, 26213, 834, 15675, 513, 2039, 1701, 1401, 527, 4427, 7736, 1403, 454, 24078, 713, 2376, 5363, 286, 0, 2710, 2758, 4030, 593, 912, 289, 4315, 15443, 5866, 10791, 454, 290, 663, 5866, 11549, 15092, 281, 2368, 1745, 602, 1164, 4006, 6980, 3895, 15443, 5866, 19186, 15092, 2208, 269, 901, 1797, 26265, 899, 25394, 267, 12897, 267, 17711, 267, 9268, 3694, 338, 267, 3092, 269, 4635, 2898, 10286, 7912, 949, 948, 513, 2370, 609, 713, 1317, 519, 4006, 1131, 581, 9447, 513, 2370, 811, 7444, 547, 707, 1062, 267, 855, 621, 568, 1869, 4006, 269, 4400, 4006, 5613, 630, 18090, 20625, 267, 13099, 11535, 267, 3092, 264, 1522, 581, 2938, 713, 1259, 849, 269, 3267, 5649, 811, 454, 10915, 619, 547, 782, 519, 2168, 2339, 3425, 630, 3697, 782, 2713, 7068, 264, 1590, 1491, 538, 593, 513, 18596, 4493, 282, 1152, 13148, 585, 1648, 269, 6145, 782, 1272, 593, 4541, 3425, 616, 1930, 1949, 799, 1832, 751, 2130, 1524, 741, 2497, 1299, 2154, 6981, 540, 8444, 8276, 26163, 689, 799, 547, 25580, 741, 2497, 269, 2271, 13656, 16298, 2281, 8719, 9625, 22336, 476, 274, 2395, 269, 6970, 17269, 275, 538, 7633, 9625, 22336, 476, 277, 1296, 267, 3267, 5649, 811, 454, 25911, 766, 519, 2732, 281, 589, 14915, 334, 268, 557, 1146, 814, 1082, 5079, 585, 3536, 269, 589, 1434, 6484, 1433, 610, 513, 3643, 547, 513, 1019, 2045, 1014, 666, 948, 1106, 513, 7059, 2732, 269, 14856, 513, 2462, 3099, 540, 3536, 2337, 2061, 8770, 19518, 269, 4746, 267, 835, 666, 1491, 513, 3232, 1617, 643, 9559, 266, 2381, 1968, 16979, 269, 8899, 325, 520, 610, 1875, 325, 520, 10683, 2472, 723, 7899, 540, 3940, 269, 2290, 666, 4444, 2067, 267, 15347, 6954, 3536, 543, 3434, 873, 1510, 4946, 6070, 267, 4006, 267, 3282, 267, 6862, 16693, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 27028, 5193, 569, 711, 281, 769, 1249, 267, 621, 568, 711, 693, 782, 1978, 602, 972, 568, 1022, 4324, 689, 3165, 3282, 585, 4376, 269, 769, 7330, 621, 814, 1044, 14460, 607, 24631, 676, 519, 1655, 26455, 4966, 269, 898, 814, 849, 1044, 7074, 547, 2014, 17150, 2860, 269, 898, 568, 3020, 602, 621, 24506, 27831, 1938, 543, 12651, 31613, 855, 621, 814, 711, 22485, 519, 1981, 585, 18116, 610, 2295, 6285, 269, 3143, 4324, 814, 1044, 7152, 4849, 547, 1346, 945, 6133, 621, 269, 3267, 5649, 811, 454, 31800, 770, 11959, 281, 3962, 1826, 540, 13803, 568, 2965, 513, 1114, 11248, 267, 865, 596, 1223, 581, 13027, 547, 835, 543, 711, 8209, 13027, 547, 782, 269, 1717, 267, 1004, 945, 616, 13027, 547, 1786, 4546, 781, 13803, 666, 581, 13027, 547, 536, 6033, 781, 13803, 607, 1134, 269, 1323, 6784, 626, 666, 2960, 1449, 596, 547, 1786, 4546, 781, 13803, 267, 536, 6033, 781, 13803, 543, 4796, 5866, 267, 607, 1134, 607, 3875, 824, 16507, 23480, 269, 3267, 5649, 811, 454, 28536, 2216, 530, 270, 4796, 5866, 1612, 2355, 559, 2670, 855, 1185, 620, 21544, 5114, 547, 1199, 269, 2052, 1775, 1521, 621, 609, 13803, 1299, 4006, 1863, 2732, 1482, 607, 524, 269, 2704, 321, 15092, 888, 4692, 596, 3548, 1402, 25468, 593, 513, 15443, 5866, 2732, 286, 296, 6415, 593, 519, 2732, 536, 11305, 594, 4312, 1185, 513, 13803, 3968, 585, 476, 274, 1395, 267, 666, 1405, 1491, 2770, 935, 31152, 267, 1299, 6836, 1212, 4461, 1299, 536, 7595, 3679, 563, 290, 663, 5866, 2732, 281, 4144, 1115, 602, 616, 1970, 538, 4006, 543, 11950, 855, 1164, 538, 6151, 13342, 543, 22763, 666, 948, 1832, 13803, 5563, 693, 15922, 269, 4173, 4472, 9360, 971, 607, 623, 879, 667, 262, 6635, 1723, 630, 339, 3307, 675, 610, 23555, 1106, 264, 610, 519, 15443, 5866, 4211, 14211, 572, 676, 3752, 320, 305, 599, 949, 581, 5363, 269, 7377, 25468, 1281, 15059, 547, 513, 2241, 19346, 855, 2949, 568, 5266, 1970, 538, 4006, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 2005, 1223, 581, 835, 281, 16748, 547, 4217, 609, 4227, 4411, 21399, 269, 4236, 6005, 4195, 5214, 5388, 609, 5613, 666, 581, 11212, 2635, 269, 769, 1840, 11547, 3946, 1419, 269, 19321, 513, 1072, 995, 6197, 630, 10585, 3635, 267, 7850, 3207, 267, 5329, 2566, 693, 15922, 1040, 5901, 17534, 1134, 5848, 28962, 6902, 4019, 3141, 5496, 547, 519, 2127, 602, 707, 4411, 21399, 7363, 1402, 909, 269, 13185, 609, 707, 10629, 827, 7110, 532, 609, 30897, 710, 269, 3267, 5649, 811, 454, 12640 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 966, 528, 984, 344, 990, 1696, 620, 269, 630, 1001, 274, 321, 264, 543, 568, 13713, 12649, 2630, 585, 519, 5467, 779, 13418, 269, 1284, 1376, 938, 10230, 13502, 689, 519, 14965, 12900, 540, 513, 5182, 1652, 6531, 4295, 24760, 883, 513, 1970, 29213, 5007, 1604, 267, 3136, 883, 519, 11251, 5123, 540, 5182, 5250, 267, 1282, 799, 513, 5182, 267, 12210, 267, 543, 23508, 616, 4646, 267, 543, 2165, 3729, 938, 13502, 1310, 5111, 476, 271, 269, 276, 3733, 337, 540, 12210, 4720, 269, 634, 1486, 739, 15362, 12210, 26328, 519, 6418, 851, 540, 519, 10230, 8701, 7470, 543, 568, 6534, 547, 7920, 2527, 15205, 689, 519, 1102, 16226, 23508, 543, 5007, 1604, 563, 2414, 2057, 1932, 1507, 942, 3268, 267, 649, 6338, 513, 968, 338, 1074, 1591, 892, 693, 22847, 543, 20818, 513, 1863, 1102, 869, 6418, 10465, 2783, 543, 513, 1863, 856, 6503, 9018, 10465, 2783, 865, 602, 602, 519, 2339, 568, 4847, 547, 2095, 856, 540, 519, 12985, 6389, 855, 568, 15286, 689, 13576, 538, 269, 634, 16173, 1591, 568, 29858, 29680, 282, 621, 8309, 1152, 547, 519, 2698, 14965, 1761, 543, 3813, 999, 513, 5347, 7180, 540, 519, 8904, 3196, 1524, 547, 519, 24974, 2627, 269, 4438, 519, 2038, 5933, 540, 519, 4295, 12900, 267, 649, 6895, 519, 3154, 2627, 5860, 538, 519, 16173, 1591, 543, 950, 922, 1871, 20489, 513, 2565, 1871, 585, 519, 5912, 689, 568, 18540, 547, 740, 328, 629, 1738, 4720, 267, 649, 6338, 513, 3844, 1448, 2173, 817, 1843, 269, 769, 519, 7766, 4720, 267, 476, 3445, 260, 540, 519, 3154, 602, 22613, 519, 6418, 10465, 568, 10924, 547, 2244, 593, 519, 3844, 1843, 269, 634, 824, 476, 1015, 260, 540, 519, 934, 516, 1540, 3154, 568, 10924, 547, 581, 5645, 2476, 609, 1486, 739, 15362, 32062, 563, 763, 2596, 4834, 540, 2527, 267, 11610, 267, 543, 1648, 3560, 538, 519, 6094, 1673, 7416, 3970, 616, 454, 3602, 31941, 338, 543, 3277, 547, 519, 1544, 541, 3334, 454, 514, 8701, 10974, 267, 568, 519, 2527, 2627, 5860, 267, 568, 519, 4835, 1648, 829, 454, 529, 519, 19794, 7471, 3154, 2604, 7229, 3842, 519, 4998, 3830, 540, 1533, 454, 529, 519, 2234, 6053, 543, 20842, 574, 3578, 958, 8795, 7299, 4336, 4463, 454, 323, 17827, 538, 1142, 12985, 1591, 1210, 606, 13429, 540, 2199, 8652, 18878, 11466, 2676, 529, 519, 6991, 538, 519, 454, 4134, 330, 7077, 267, 543, 568, 519, 13506, 2059, 519, 1544, 541, 10974, 540, 519, 12210, 563, 763, 13829, 540, 593, 2837, 568, 9936, 1242, 1759, 593, 519, 960, 540, 16549, 684, 15676, 1299, 769, 7491, 26854, 630, 1220, 271, 264, 609, 454, 1721, 519, 3154, 2837, 1447, 982, 476, 1911, 918, 543, 6382, 454, 3602, 568, 519, 853, 1030, 534, 5174, 565, 16379, 10458, 3586, 267, 568, 454, 1492, 4571, 30350, 2837, 540, 3154, 454, 3602, 568, 519, 23735, 2747, 2837, 693, 519, 1167, 2627, 5462, 676, 519, 24974, 543, 4282, 3109, 23073, 23735, 2747, 607, 454, 3602, 568, 519, 7833, 4282, 2837, 630, 514, 938, 2203, 1305, 547, 519, 3355, 2837, 540, 519, 562, 7614, 6531, 4295, 264, 543, 568, 519, 5982, 13441, 630, 24479, 829, 1770, 942, 829, 1770, 2627, 1858, 264, 12842, 676, 519, 1167, 2627, 693, 24293, 3845, 689, 519, 3844, 5182, 269, 634, 8545, 7274, 568, 7229, 607, 454, 3602, 568, 519, 11841, 5086, 540, 5982, 21945, 693, 519, 1167, 2627, 630, 5976, 2463, 547, 519, 3339, 264, 693, 24293, 3845, 4586, 763, 24974, 24788, 13920, 568, 519, 2040, 540, 519, 934, 4958, 542, 24788, 13920, 16109, 689, 519, 14965, 1648, 540, 934, 516, 1540, 3154, 543, 519, 2584, 2214, 8879, 24788, 13920, 1813, 547, 14965, 13496, 543, 632, 17458, 1756, 8781, 538, 519, 24974, 9703, 269, 634, 24974, 2527, 543, 934, 4958, 542, 2557, 5196, 519, 5182, 616, 5462, 1210, 519, 2179, 540, 3154, 8429, 998, 519, 16173, 1591, 269, 634, 3601, 540, 519, 8108, 1486, 739, 541, 616, 7229, 1210, 513, 24974, 4720, 3009, 4330, 538, 4446, 25377, 1299, 932, 629, 8175, 630, 1001, 271, 1040, 901, 3009, 568, 13745, 609, 519, 1292, 8652, 323, 3428, 673, 3009, 538, 1483, 942, 269, 1717, 267, 1813, 547, 5230, 12985, 4452, 519, 24974, 4720, 3009, 568, 1045, 12097, 547, 9337, 519, 3601, 540, 519, 1486, 739, 541, 1152, 1169, 476, 736, 29757, 267, 1247, 519, 8652, 323, 3428, 673, 942, 1900, 949, 581, 607, 1507, 607, 513, 1906, 4374, 543, 519, 3003, 8653, 540, 10230, 13502, 949, 9765, 476, 272, 269, 271, 3733, 337, 269, 634, 3403, 9936, 585, 519, 24974, 4720, 3009, 568, 519, 934, 4958, 542, 2557, 2073, 1247, 519, 3977, 616, 519, 8953, 543, 2584, 2214, 8879, 24788, 13920, 540, 519, 1486, 739, 541, 269, 901, 23993, 540, 519, 12210, 543, 1486, 739, 541, 4720, 2636, 585, 513, 1582, 15926, 11962, 8990, 540, 519, 10237, 894, 3403, 540, 519, 1486, 739, 541, 883, 519, 12210, 8143, 3666, 267, 799, 568, 1271, 585, 519, 4977, 1353, 540, 12210, 16132, 543, 26610, 563, 347, 14790, 521, 26099, 1475, 288, 308, 1475, 326, 4699, 1475, 335, 322, 2008, 274, 19461, 2175, 454, 2026, 519, 3355, 14764, 267, 649, 1491, 513, 840, 3613, 15362, 4295, 24760, 883, 513, 3586, 29213, 5007, 1604, 269, 1280, 519, 3355, 2627, 5860, 9043, 540, 519, 4295, 267, 649, 9772, 513, 16866, 1106, 540, 513, 19794, 7471, 12844, 24335, 7232, 6975, 12106, 630, 291, 1952, 1299, 5178, 340, 267, 476, 1220, 280, 264, 634, 4611, 3355, 3892, 540, 519, 3154, 2627, 5860, 3217, 519, 1739, 1106, 454, 3602, 568, 519, 3154, 2627, 5860, 693, 519, 4099, 540, 519, 4295, 267, 568, 519, 8953, 540, 519, 3844, 29415, 540, 519, 4295, 267, 568, 519, 8953, 540, 519, 4295, 267, 568, 519, 3355, 3280, 3432, 267, 543, 568, 519, 5860, 540, 519, 5007, 1604, 267, 519, 1871, 540, 799, 568, 1305, 3160, 547, 519, 3154, 2627, 5860, 693, 519, 9018, 6316, 540, 519, 4295, 630, 1040, 769, 782, 3631, 519, 1871, 540, 568, 1305, 547, 476, 272, 269, 273, 543, 519, 3355, 2837, 568, 1305, 547, 476, 1015, 918, 563, 2414, 1353, 519, 1198, 540, 1102, 718, 689, 519, 5007, 1604, 6353, 676, 8795, 16070, 11610, 267, 649, 9772, 519, 1739, 1106, 585, 519, 3355, 24293, 9043, 540, 16070, 6991, 454, 3602, 568, 519, 16070, 6991, 540, 519, 4295, 543, 568, 513, 10155, 1652, 18440, 3815, 10747, 519, 16070, 6991, 538, 519, 5007, 1604, 269, 634, 16070, 6991, 9043, 1063, 519, 4295, 543, 519, 5007, 1604, 568, 12347, 8678, 693, 519, 9018, 6316, 540, 519, 4295, 563, 2171, 723, 2808, 476, 276, 3631, 267, 519, 3355, 14764, 585, 799, 568, 3254, 538, 7612, 476, 272, 269, 769, 1880, 267, 519, 2451, 8440, 1459, 519, 24293, 3892, 540, 2073, 1247, 519, 1318, 8440, 1397, 607, 513, 1599, 540, 24293, 3845, 269, 7844, 476, 272, 4564, 513, 25144, 15914, 9678, 4295, 630, 7224, 5007, 1604, 264, 609, 2527, 543, 5223, 540, 24364, 547, 14965, 1648, 1547, 17738, 476, 273, 1700, 276, 2015, 519, 1482, 4295, 24760, 883, 519, 5007, 1604, 609, 1114, 16070, 29702, 269, 769, 1880, 267, 2203, 476, 273, 814, 513, 1351, 582, 908, 5007, 1604, 609, 519, 1482, 16070, 6991, 607, 602, 540, 519, 4295, 267, 1247, 538, 2203, 476, 274, 519, 16070, 6991, 540, 519, 5007, 1604, 568, 476, 1015, 2053, 4130, 982, 602, 540, 519, 4295, 269, 17738, 476, 275, 543, 476, 276, 616, 6353, 676, 513, 4831, 8527, 908, 5007, 1604, 269, 769, 1880, 267, 538, 2203, 476, 275, 519, 5007, 16070, 6991, 568, 4557, 2053, 4130, 676, 6207, 1871, 982, 602, 540, 519, 4295, 267, 1247, 538, 2203, 476, 276, 519, 5007, 16070, 6991, 568, 3160, 547, 602, 540, 519, 4295, 676, 6207, 1871, 269, 769, 3631, 476, 273, 268, 276, 519, 24293, 3892, 540, 3154, 2627, 5860, 568, 9838, 269, 634, 6724, 540, 1169, 2203, 616, 3177, 538, 7305, 476, 272, 563, 1103, 713, 3296, 267, 649, 1376, 609, 6236, 519, 3601, 540, 513, 1486, 739, 15362, 12210, 4646, 689, 519, 14965, 12900, 540, 606, 9678, 840, 3613, 15362, 4295, 543, 3136, 676, 6236, 3631, 602, 1491, 883, 2272, 519, 1198, 540, 5007, 1604, 563, 275, 269, 272, 634, 9678, 2203, 454, 2026, 513, 18634, 2203, 267, 649, 2015, 606, 9678, 15341, 15362, 4295, 609, 2527, 543, 5223, 540, 24364, 547, 14965, 1648, 630, 1877, 12898, 267, 2203, 476, 272, 1040, 901, 3903, 568, 12592, 676, 938, 3105, 10230, 8652, 323, 3428, 923, 13502, 10834, 602, 1486, 739, 15362, 28283, 4646, 689, 23780, 609, 2147, 4162, 616, 4397, 547, 581, 28040, 2787, 958, 18633, 543, 12155, 547, 26610, 538, 519, 2038, 11251, 3942, 540, 24974, 4720, 630, 309, 528, 984, 344, 990, 267, 476, 1001, 272, 1040, 7612, 476, 273, 6799, 519, 942, 4720, 540, 519, 3154, 2627, 5860, 538, 2203, 476, 272, 538, 519, 6418, 22847, 4216, 269, 634, 2898, 12985, 3148, 11498, 547, 476, 1911, 876, 22847, 269, 634, 942, 1714, 17863, 689, 519, 5250, 540, 519, 3844, 5182, 568, 8612, 538, 1142, 8470, 269, 634, 4336, 3046, 568, 538, 2845, 575, 4699, 543, 519, 2539, 2627, 5860, 12939, 568, 1305, 547, 575, 4699, 865, 602, 519, 3109, 3148, 568, 711, 8900, 855, 4904, 609, 513, 1970, 5860, 1570, 9991, 5196, 519, 12210, 689, 519, 15366, 4295, 563, 763, 1486, 739, 15362, 12210, 538, 2203, 476, 272, 3587, 28040, 2787, 958, 18633, 693, 519, 1360, 2038, 3942, 540, 4720, 630, 553, 28955, 676, 513, 18700, 2497, 2907, 1459, 693, 3733, 337, 264, 1813, 547, 513, 11173, 2527, 15205, 689, 519, 1102, 16226, 4295, 269, 634, 1101, 23650, 3029, 538, 519, 12210, 1310, 3733, 337, 267, 950, 519, 12210, 2527, 543, 8953, 2253, 547, 9765, 476, 271, 269, 272, 543, 476, 1911, 22847, 267, 6606, 269, 901, 568, 538, 6876, 609, 1082, 3105, 10230, 543, 7811, 2090, 267, 10834, 602, 519, 12210, 2115, 547, 10536, 513, 2565, 2527, 20465, 543, 1332, 547, 513, 2565, 2450, 630, 22847, 264, 1354, 14965, 26610, 666, 1671, 826, 630, 1805, 600, 520, 749, 657, 1299, 18724, 10290, 267, 476, 1220, 279, 282, 19676, 1696, 620, 1421, 476, 1001, 271, 282, 966, 528, 984, 344, 990, 267, 476, 1001, 272, 282, 8585, 340, 1299, 645, 622, 267, 476, 1001, 273, 1040, 1284, 1031, 519, 23650, 9477, 5690, 4330, 538, 966, 528, 984, 344, 990, 630, 1001, 274, 264, 547, 5173, 519, 13999, 540, 519, 15998, 269, 634, 15998, 941, 4857, 1759, 593, 1079, 2175, 281, 476, 272, 264, 519, 23650, 1590, 581, 2604, 23418, 9285, 267, 609, 513, 2942, 2604, 13506, 609, 2463, 547, 519, 4099, 540, 519, 23650, 543, 476, 273, 264, 519, 23650, 1590, 581, 6854, 1927, 676, 8904, 267, 609, 519, 1761, 1134, 1373, 27811, 693, 519, 4099, 540, 519, 23650, 269, 634, 4611, 13999, 540, 519, 15998, 9114, 538, 519, 476, 273, 269, 276, 1700, 276, 269, 271, 2039, 563, 3080, 666, 1294, 538, 7612, 476, 273, 602, 519, 1184, 540, 12210, 26610, 538, 2203, 476, 272, 568, 711, 6024, 855, 26740, 1107, 942, 11996, 6029, 15998, 616, 3124, 730, 676, 11996, 6029, 1100, 4191, 540, 12210, 26610, 269, 634, 2053, 7051, 609, 799, 519, 12210, 15998, 568, 5462, 676, 519, 5223, 630, 309, 528, 984, 344, 990, 1696, 620, 1421, 476, 1001, 274, 320, 994, 3602, 568, 519, 12210, 2527, 543, 568, 519, 2557, 540, 2527, 1102, 718, 689, 519, 15366, 4295, 5196, 519, 12210, 269, 14171, 543, 29757, 585, 519, 6093, 2418, 540, 543, 630, 5408, 8431, 338, 269, 476, 1015, 543, 476, 1556, 1070, 649, 3489, 3733, 337, 267, 799, 5526, 547, 3858, 630, 5976, 514, 513, 3815, 540, 9322, 264, 609, 513, 11617, 6059, 1871, 540, 3733, 337, 630, 5408, 8431, 269, 476, 273, 1040, 634, 10715, 540, 15998, 568, 2356, 10156, 982, 476, 271, 269, 272, 3733, 337, 267, 2901, 1813, 547, 9194, 593, 519, 3844, 1486, 739, 541, 610, 9552, 3842, 23864, 8731, 13196, 630, 1805, 600, 520, 749, 657, 1696, 620, 1421, 476, 1001, 272, 282, 966, 528, 984, 344, 990, 1696, 620, 1421, 476, 1001, 274, 320, 1070, 4611, 538, 12675, 5712, 540, 12210, 4720, 1510, 15998, 269, 7053, 267, 621, 568, 4502, 15663, 602, 519, 12210, 3029, 1152, 835, 23650, 693, 513, 942, 267, 799, 10522, 602, 552, 20287, 540, 15998, 883, 519, 954, 743, 13831, 5420, 1813, 547, 14965, 1082, 23073, 5872, 538, 971, 513, 1062, 568, 7543, 630, 15368, 340, 1299, 966, 528, 984, 344, 990, 267, 476, 1001, 273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 272, 24179, 272, 266, 337, 264, 1262, 8987, 332, 4297, 270, 337, 454, 453, 8002, 783, 5314, 815, 589, 2608, 2781, 1993, 454, 13537, 3488, 341, 582, 516, 521, 2946, 638, 775, 632, 3299, 332, 10086, 322, 1662, 2095, 1130, 550, 957, 3241, 2211, 3299, 8002, 783, 5314, 994, 12828, 912, 13537, 3488, 288, 340, 2847, 7546, 631, 976, 773, 584, 5073, 0, 3698, 1965, 5334, 889, 322, 611, 6511, 6262, 611, 6511, 267, 23658, 611, 6511, 2187, 825, 952, 20017, 6511, 26098, 4433, 889, 322, 611, 6511, 264, 2652, 910, 272, 912, 1038, 1820, 2891, 7224, 1965, 23658, 611, 6511, 5602, 825, 3116, 912, 1038, 1820, 2891, 525, 23658, 611, 6511, 257, 9239, 3698, 524, 783, 318, 9366, 318, 27146, 3266, 6262, 611, 6511, 19963, 267, 20017, 6511, 10734, 2187, 825, 952, 20017, 6511, 19963, 2999, 20017, 6511, 10734, 912, 1038, 1820, 6262, 611, 6511, 19963, 994, 825, 3116, 912, 1038, 1820, 6262, 611, 6511, 10734, 9239, 525, 5334, 889, 322, 611, 6511, 2891, 303, 788, 601, 340, 2580, 834, 1663, 5602, 322, 783, 318, 9366, 318, 27146, 3266, 2891, 289, 2580, 834, 288, 5602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1492, 3959, 3294, 1510, 1813, 1184, 540, 519, 1876, 543, 538, 18670, 540, 519, 9139, 540, 519, 2136, 2276, 563, 28308, 729, 519, 4644, 540, 713, 3375, 282, 3959, 4690, 1631, 1336, 4027, 1996, 1857, 6042, 267, 543, 6923, 519, 10470, 2968, 519, 1843, 540, 2810, 9880, 676, 1346, 945, 941, 771, 4186, 5034, 609, 519, 4540, 1514, 543, 2804, 1931, 563, 763, 6182, 1052, 543, 519, 5634, 2797, 6105, 4857, 609, 621, 17379, 267, 855, 513, 2034, 5951, 540, 771, 20880, 538, 519, 5216, 625, 729, 519, 4282, 585, 519, 26478, 262, 19137, 543, 519, 7377, 592, 626, 5428, 540, 519, 2038, 562, 6839, 625, 269, 769, 519, 2898, 2039, 540, 1977, 2797, 3332, 1100, 3561, 568, 811, 7415, 982, 519, 7377, 592, 626, 3760, 540, 476, 6245, 273, 282, 621, 24298, 519, 4540, 771, 20880, 543, 5227, 14319, 799, 267, 3622, 9833, 693, 519, 942, 607, 1932, 9097, 2479, 547, 581, 4294, 267, 2221, 616, 513, 851, 540, 938, 31249, 2797, 1062, 269, 4107, 540, 519, 3332, 11341, 547, 7377, 592, 1143, 568, 3134, 31906, 531, 282, 855, 540, 1483, 7499, 20519, 568, 634, 17857, 17020, 527, 267, 610, 519, 12096, 540, 16016, 8712, 267, 513, 10565, 5188, 6273, 676, 519, 14710, 540, 27737, 16016, 8712, 540, 17857, 538, 1010, 16311, 585, 556, 3887, 3005, 547, 519, 2136, 2276, 14130, 563, 13640, 5537, 609, 519, 989, 337, 4115, 3350, 729, 519, 3747, 585, 536, 22015, 718, 1143, 282, 8197, 27737, 3212, 742, 518, 538, 1010, 26478, 17121, 24016, 1863, 8988, 607, 513, 16185, 585, 519, 20494, 341, 1734, 540, 519, 6705, 269, 634, 834, 321, 4490, 540, 519, 4441, 257, 2968, 519, 782, 21716, 2797, 3390, 1063, 476, 6642, 279, 543, 476, 6245, 277, 269, 4107, 540, 519, 24192, 7957, 10696, 519, 4154, 3044, 267, 16113, 7905, 808, 269, 19846, 1338, 700, 2795, 4802, 540, 519, 2160, 540, 9628, 269, 3571, 3778, 540, 645, 22015, 718, 1143, 538, 519, 2136, 2276, 729, 811, 982, 513, 1686, 282, 621, 729, 849, 513, 20237, 540, 1395, 2210, 718, 1143, 267, 543, 729, 4922, 20926, 2429, 519, 8988, 989, 2787, 269, 634, 12102, 540, 519, 24192, 267, 945, 29846, 536, 22015, 718, 1143, 267, 729, 1655, 6719, 676, 661, 269, 18148, 12448, 338, 267, 5518, 540, 9466, 2160, 267, 538, 1010, 1323, 12968, 652, 667, 20683, 269, 1924, 9244, 729, 519, 1395, 2210, 28351, 3069, 7957, 10696, 1851, 519, 15061, 5049, 540, 519, 5101, 602, 5518, 12448, 338, 781, 14669, 5784, 941, 835, 2014, 540, 1010, 29997, 566, 689, 9466, 538, 476, 6245, 278, 269, 1809, 519, 14039, 11726, 576, 632, 4187, 538, 519, 2898, 989, 2787, 729, 654, 269, 670, 269, 29542, 781, 3213, 514, 781, 11038, 3427, 630, 6245, 275, 1070, 513, 2370, 1433, 267, 2241, 538, 2511, 267, 8642, 538, 14745, 267, 799, 267, 1065, 11781, 539, 1282, 519, 5859, 540, 476, 6245, 277, 267, 10150, 513, 10009, 2147, 547, 602, 540, 519, 0, 763, 6406, 2782, 5949, 1813, 547, 519, 1082, 3604, 1063, 519, 3345, 543, 519, 3162, 269, 1280, 1383, 2804, 267, 1514, 267, 2686, 543, 2797, 3604, 269, 15486, 540, 519, 6406, 2782, 634, 1973, 5006, 2112, 3013, 814, 2479, 10692, 729, 519, 6406, 2782, 269, 634, 6406, 2782, 729, 10692, 1063, 3345, 543, 3162, 3013, 269, 901, 2112, 729, 1082, 1296, 538, 519, 1818, 269, 2060, 1169, 1007, 3454, 267, 13545, 858, 267, 1876, 267, 610, 1007, 1533, 7127, 519, 3345, 543, 3162, 9969, 7517, 269, 634, 6406, 2782, 16768, 1063, 543, 543, 621, 8507, 547, 811, 982, 2073, 25096, 269, 1717, 267, 519, 3123, 540, 6406, 2782, 666, 581, 14360, 1394, 547, 13253, 602, 941, 2813, 2038, 538, 519, 1686, 540, 519, 4182, 269, 634, 1977, 6406, 2782, 281, 15486, 267, 8841, 267, 543, 4406, 7190, 3223, 12298, 25391, 518, 828, 3778, 7905, 4132, 816, 5412, 476, 280, 267, 634, 13581, 652, 2446, 540, 519, 1977, 6406, 2782, 568, 2614, 547, 3142, 8642, 543, 1419, 27337, 4328, 2592, 883, 835, 779, 2212, 281, 10239, 540, 4666, 7980, 267, 993, 1584, 725, 1510, 23236, 267, 543, 3676, 4881, 19856, 656, 269, 15486, 540, 519, 6406, 2782, 4828, 9293, 1923, 476, 274, 9664, 269, 589, 2101, 4655, 538, 519, 2136, 2276, 685, 1686, 568, 519, 1977, 6406, 2782, 269, 3509, 3123, 3366, 547, 519, 6406, 2782, 269, 901, 782, 5949, 1472, 519, 4571, 521, 269, 898, 729, 513, 4655, 1063, 519, 8832, 543, 8828, 2829, 563, 268, 10374, 4828, 593, 519, 15486, 540, 519, 1977, 6406, 2782, 454, 268, 15486, 540, 519, 6406, 2782, 1557, 454, 268, 634, 15486, 540, 519, 1977, 6406, 2782, 4828, 7151, 454, 268, 1548, 21518, 519, 15486, 540, 519, 1977, 6406, 2782, 286, 4828, 454, 1607, 3486, 4655, 568, 5310, 519, 1034, 2854, 827, 543, 6594, 4062, 540, 2136, 2276, 1686, 269, 1924, 4010, 1018, 3361, 519, 3540, 2112, 286, 634, 2112, 729, 513, 1267, 540, 20849, 20748, 267, 2686, 543, 2804, 2093, 1063, 1312, 4525, 269, 26913, 1488, 7666, 2406, 519, 2489, 13618, 568, 602, 8474, 729, 519, 3119, 2014, 540, 519, 3540, 2112, 563, 10214, 1498, 972, 941, 3604, 540, 6644, 593, 8474, 1369, 5742, 2829, 693, 519, 942, 543, 711, 782, 519, 2829, 602, 4371, 10437, 941, 851, 540, 634, 28583, 2329, 267, 621, 729, 3622, 2312, 602, 634, 3345, 543, 634, 3162, 4371, 15852, 5784, 547, 8474, 267, 3056, 547, 2797, 3123, 540, 519, 3540, 2112, 269, 3245, 513, 10952, 5133, 267, 10553, 9562, 729, 711, 5812, 609, 14081, 22675, 267, 513, 6138, 799, 4371, 796, 531, 1329, 762, 1367, 2924, 543, 15698, 607, 922, 1883, 3844, 2418, 563, 2026, 14081, 22675, 729, 519, 4295, 6138, 540, 519, 2136, 2276, 267, 634, 5742, 1279, 539, 547, 3142, 8474, 547, 513, 16795, 1439, 676, 5627, 922, 3262, 2429, 519, 4182, 269, 634, 3162, 5156, 602, 713, 2856, 4682, 1996, 741, 25799, 2924, 543, 602, 789, 1058, 581, 4847, 547, 1378, 10437, 952, 789, 865, 5551, 563, 763, 5354, 540, 8474, 729, 10363, 538, 634, 3345, 607, 621, 1185, 1044, 7979, 31090, 538, 519, 476, 866, 628, 2540, 267, 2943, 922, 7269, 729, 678, 1057, 538, 7013, 2829, 563, 14112, 4828, 593, 519, 15486, 540, 519, 1977, 6406, 2782, 454, 763, 4473, 540, 669, 3430, 601, 8474, 5921, 602, 10437, 1223, 581, 11751, 543, 4421, 607, 3959, 543, 1022, 1453, 519, 10437, 1185, 1223, 1831, 3959, 1932, 269, 4658, 941, 11262, 30739, 267, 7429, 538, 634, 3345, 563, 763, 2528, 540, 20552, 1235, 538, 519, 5742, 5288, 563, 2026, 12493, 7150, 538, 1010, 22305, 1116, 2232, 267, 835, 3887, 12915, 540, 519, 1977, 2551, 941, 25549, 10437, 602, 941, 2199, 2213, 538, 634, 3162, 799, 1185, 1880, 543, 3532, 4690, 269, 2353, 6785, 602, 891, 4690, 941, 11214, 519, 2014, 540, 519, 2112, 563, 763, 19004, 1715, 4789, 2829, 543, 519, 2916, 540, 634, 3345, 941, 7361, 711, 14018, 585, 8105, 543, 865, 713, 2872, 729, 711, 17947, 269, 5502, 267, 5663, 729, 519, 1630, 4040, 2872, 538, 713, 3148, 543, 5370, 941, 1500, 609, 6191, 3079, 540, 1373, 6738, 269, 634, 1630, 4040, 5663, 2872, 543, 18666, 18246, 5921, 602, 4872, 941, 2111, 547, 1332, 538, 7187, 2829, 543, 2749, 1272, 4742, 519, 2343, 540, 7187, 2486, 269, 769, 4334, 267, 634, 3162, 729, 513, 1454, 1732, 3148, 585, 3395, 267, 609, 513, 2603, 540, 15417, 3037, 267, 2523, 2059, 519, 7777, 11656, 5757, 30520, 563, 763, 6694, 2872, 5921, 602, 7429, 4872, 267, 5411, 1223, 723, 1804, 11396, 609, 11999, 1930, 4610, 269, 29158, 267, 7573, 267, 10269, 543, 519, 967, 15282, 2030, 941, 1883, 2472, 6738, 538, 7361, 1395, 665, 11857, 11396, 602, 2838, 11668, 689, 3875, 10437, 269, 1677, 2322, 621, 3274, 267, 634, 3345, 17329, 6721, 2472, 543, 634, 3162, 17329, 3395, 267, 543, 865, 713, 3812, 519, 2804, 3123, 540, 519, 6406, 2782, 563, 10303, 540, 519, 3677, 2551, 538, 519, 7187, 3148, 267, 3152, 6639, 8441, 543, 2804, 1967, 1291, 547, 3152, 9424, 540, 14475, 5370, 267, 4061, 8474, 729, 7930, 943, 1078, 856, 269, 901, 729, 538, 4334, 547, 634, 3162, 799, 31030, 593, 8474, 585, 922, 12880, 6694, 4346, 563, 27246, 540, 519, 6406, 2782, 1557, 454, 306, 4822, 2829, 1185, 2370, 7287, 547, 9784, 5663, 607, 4213, 941, 1759, 593, 1970, 1942, 11668, 543, 865, 6462, 519, 1318, 547, 6133, 10412, 543, 6718, 14475, 3688, 689, 1022, 2197, 269, 769, 4334, 267, 8832, 2829, 1185, 8185, 16539, 538, 5663, 543, 1223, 711, 14526, 609, 4359, 3864, 6080, 547, 2709, 1164, 5777, 689, 7013, 10412, 20558, 543, 2539, 5777, 585, 14475, 1434, 18666, 538, 2132, 563, 1607, 3017, 538, 2804, 4690, 5921, 602, 634, 3345, 6462, 29388, 593, 5370, 6466, 634, 3162, 18796, 513, 1863, 4123, 269, 2368, 12206, 7521, 2436, 3604, 538, 4346, 1063, 7187, 543, 7013, 4525, 1705, 948, 4412, 601, 519, 2112, 563, 763, 15486, 540, 519, 1977, 6406, 2782, 4828, 7151, 454, 288, 1297, 540, 4081, 2959, 3100, 547, 2303, 602, 1312, 4525, 11615, 941, 14911, 267, 1775, 269, 634, 3345, 543, 634, 3162, 1705, 4123, 513, 1713, 2179, 609, 1142, 824, 799, 4547, 827, 8994, 2640, 269, 1717, 267, 621, 568, 2312, 602, 519, 954, 933, 3058, 540, 519, 10553, 2528, 883, 519, 7013, 4346, 5921, 602, 20752, 2829, 1131, 723, 4503, 513, 2603, 952, 8474, 729, 3144, 2476, 689, 873, 267, 543, 713, 1131, 723, 1044, 513, 1390, 2707, 540, 8082, 563, 2252, 519, 24454, 540, 519, 5354, 540, 7013, 1870, 5443, 941, 693, 7196, 267, 621, 568, 1100, 4898, 789, 1131, 723, 8854, 547, 9058, 13080, 547, 9718, 741, 4690, 269, 8791, 16117, 543, 2817, 1143, 570, 5014, 941, 5667, 584, 29418, 1164, 543, 14017, 3459, 547, 1786, 342, 1369, 4525, 1318, 1354, 519, 942, 540, 519, 2112, 267, 3056, 547, 7839, 3296, 16117, 563, 4263, 519, 942, 621, 5433, 899, 1079, 5094, 2694, 540, 519, 1158, 543, 1317, 1142, 3148, 2219, 540, 2933, 607, 1114, 267, 621, 729, 811, 2653, 585, 1918, 13920, 543, 4655, 547, 1786, 342, 1063, 891, 4525, 269, 6206, 2055, 941, 15054, 281, 1548, 2924, 798, 2829, 723, 936, 519, 3844, 2229, 286, 9701, 2829, 723, 811, 1379, 982, 3844, 2229, 888, 19675, 519, 3844, 2229, 723, 782, 519, 1379, 538, 1818, 3664, 286, 634, 3162, 11130, 602, 1142, 1533, 1185, 2924, 547, 694, 1027, 324, 543, 4734, 519, 5742, 8164, 789, 4941, 2443, 789, 10645, 602, 2829, 1058, 6430, 2436, 789, 1616, 547, 1780, 4031, 610, 711, 267, 607, 519, 2829, 941, 2933, 1271, 1367, 4525, 563, 21026, 10491, 16053, 513, 3454, 593, 10412, 5293, 676, 634, 3345, 1317, 634, 3162, 729, 10412, 3638, 543, 865, 3162, 10491, 9289, 1946, 789, 1185, 547, 6432, 547, 971, 4031, 602, 1131, 711, 1860, 634, 3345, 547, 519, 1482, 4110, 267, 634, 3345, 15991, 3395, 10412, 693, 782, 563, 1432, 21518, 519, 15486, 540, 519, 1977, 6406, 2782, 286, 4828, 454, 763, 3162, 4718, 14062, 12493, 607, 513, 3463, 543, 865, 11130, 602, 789, 1058, 723, 519, 1318, 547, 694, 1027, 324, 610, 4734, 519, 2136, 2276, 269, 898, 729, 11130, 602, 1142, 1533, 814, 922, 1378, 5094, 3961, 543, 865, 1142, 1533, 1058, 581, 2111, 547, 3802, 2476, 952, 789, 1616, 547, 269, 769, 1198, 267, 519, 3390, 540, 2829, 2924, 3361, 1082, 2829, 547, 798, 1175, 602, 543, 547, 1106, 741, 1378, 1895, 1572, 634, 28583, 2329, 610, 634, 20752, 2276, 540, 3013, 563, 6962, 543, 2991, 4118, 12493, 6836, 547, 1524, 2452, 519, 8474, 2427, 17548, 602, 519, 2112, 729, 5631, 827, 8497, 519, 9769, 267, 2705, 267, 621, 568, 2312, 602, 519, 12880, 3815, 602, 8507, 538, 519, 3540, 2112, 729, 8474, 269, 634, 22266, 543, 27337, 881, 2259, 540, 8474, 22012, 998, 883, 782, 540, 519, 3123, 540, 519, 3540, 2112, 267, 2870, 13253, 602, 21490, 519, 1259, 585, 971, 2530, 540, 1272, 267, 7092, 543, 9552, 269, 2353, 3123, 6404, 1927, 8108, 513, 14984, 2601, 547, 4339, 585, 519, 1434, 540, 2901, 634, 5742, 610, 634, 28583, 2329, 563, 2662, 7241, 1367, 24500, 1004, 1185, 267, 2436, 789, 941, 1759, 593, 2797, 16809, 610, 2804, 24500, 267, 6634, 540, 2367, 941, 11235, 547, 4339, 543, 5884, 269, 0, 300, 7495, 30204, 595, 7838, 30278, 8085, 9331, 11553, 8577, 454, 4596, 12613, 6865, 595, 19006, 281, 654, 14176, 631, 24535, 312, 654, 3008, 5442, 309, 7728, 3633, 267, 22295, 7728, 21398, 10498, 267, 590, 5058, 4041, 30505, 312, 630, 20911, 3201 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8807, 1009, 12785, 11966, 454, 1038, 2132, 1871, 7531, 5035, 19219, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 22561, 267, 1985, 11966, 22561, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 11966, 815, 1985, 11966, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 21606, 2020, 0, 3698, 14255, 633, 7272, 578, 6357, 848, 267, 1163, 2187, 825, 8173, 825, 12433, 3490, 317, 10339, 1210, 14255, 633, 21767, 563, 825, 5384, 6988, 281, 744, 3799, 994, 825, 8173, 825, 1267, 815, 476, 272, 454, 825, 585, 1871, 538, 1535, 9792, 263, 271, 267, 1163, 2187, 1038, 1267, 815, 1267, 2608, 3490, 454, 825, 2132, 1267, 692, 3698, 4073, 6357, 848, 267, 1163, 267, 31575, 284, 272, 2187, 825, 5727, 3097, 825, 12433, 3490, 317, 10339, 676, 1210, 834, 10339, 9426, 2747, 676, 2695, 2130, 8487, 825, 5384, 6988, 281, 744, 10857, 1758, 994, 825, 8173, 825, 952, 1163, 2652, 476, 272, 912, 1038, 2132, 3490, 2608, 31575, 454, 825, 952, 1163, 4939, 476, 273, 2652, 476, 271, 912, 1038, 2132, 4073, 6357, 848, 2608, 3490, 267, 1163, 1315, 476, 273, 267, 31575, 994, 825, 3116, 912, 1038, 2132, 4073, 6357, 848, 2608, 3490, 267, 630, 10339, 910, 476, 272, 264, 1315, 476, 273, 267, 31575, 2608, 3490, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 14255, 633, 7272, 578, 263, 273, 267, 476, 274, 994, 825, 1820, 4073, 263, 273, 267, 476, 278, 994 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 825, 1820, 2891, 300, 1787, 9406, 8437, 15419, 18134, 815, 31108, 20172, 267, 8700, 284, 17168, 267, 4463, 284, 13301, 267, 536, 326, 6889, 291, 1046, 7775, 577, 573, 275, 5602, 18134, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 3847, 28781, 994, 18134, 12500, 785, 2891, 283, 3719, 2023, 268, 273, 285, 2580, 332, 1497, 28781, 994, 18134, 12500, 785, 2891, 283, 3719, 2023, 268, 274, 285, 2580, 2431, 28781, 994, 18134, 26942, 21405, 284, 271, 267, 26383, 284, 271, 994, 10174, 6230, 664, 31467, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 769, 2091, 540, 513, 19336, 692, 2304, 562, 1535, 562, 5119, 589, 568, 1767, 547, 723, 606, 11201, 3177, 972, 6818, 606, 562, 1535, 562, 5119, 645, 971, 602, 9474, 815, 22601, 815, 769, 269, 1284, 1289, 645, 519, 11201, 540, 589, 543, 20301, 621, 607, 589, 268, 272, 269, 4935, 267, 21191, 268, 272, 815, 589, 268, 272, 288, 815, 769, 269, 769, 713, 2013, 267, 589, 568, 849, 1572, 20060, 532, 983, 780, 7078, 780, 259, 288, 815, 1422, 3847, 7268, 8218, 15204, 2410, 764, 764, 348, 272, 261, 273, 261, 274, 261, 275, 11138, 276, 261, 277, 261, 278, 261, 279, 17910, 15204, 4153, 2431, 22491, 2162, 14497, 476, 272, 692, 763, 11201, 540, 513, 5119, 267, 952, 621, 6818, 267, 568, 2189, 692, 2162, 14497, 476, 273, 692, 2252, 589, 543, 645, 616, 1312, 20060, 532, 983, 562, 1535, 562, 14290, 630, 328, 4318, 269, 538, 3200, 1043, 1070, 1287, 9474, 568, 20060, 532, 983, 543, 630, 5723, 9984, 272, 815, 645, 268, 272, 288, 268, 272, 269, 0, 11243, 281, 1109, 5231, 476, 273, 526, 6103, 4569, 4515, 17087, 4530, 476, 275, 692, 21296, 14893, 454, 26368, 519, 3903, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 780, 272, 780, 276, 270, 278, 1107, 476, 274, 270, 278, 21591, 513, 269, 476, 279, 270, 278, 546, 269, 476, 271, 536, 269, 476, 273, 552, 269, 476, 278, 524, 269, 476, 273, 270, 278, 692, 273, 780, 272, 270, 274, 1341, 476, 272, 270, 273, 21591, 513, 269, 476, 273, 270, 276, 546, 269, 476, 276, 270, 277, 536, 269, 476, 1015, 270, 1321, 552, 269, 476, 273, 270, 277, 524, 269, 476, 272, 270, 276, 692, 274, 780, 4467, 1584, 566, 1107, 623, 2075, 757, 1107, 681, 3951, 476, 4489, 1107, 476, 1220, 454, 1432, 568, 476, 275, 260, 540, 476, 736, 888, 513, 269, 476, 2190, 546, 269, 476, 271, 269, 6860, 536, 269, 476, 1626, 552, 269, 476, 271, 269, 279, 524, 269, 476, 279, 692, 275, 780, 4467, 1584, 566, 1107, 19940, 10606, 1107, 681, 3951, 476, 4489, 1107, 476, 1220, 454, 288, 1268, 11751, 476, 3451, 13212, 543, 476, 1691, 533, 8986, 693, 513, 4558, 269, 1215, 1082, 3688, 1705, 519, 454, 513, 269, 476, 3451, 546, 269, 476, 866, 536, 269, 476, 5325, 552, 269, 476, 5379, 524, 269, 476, 6872, 692, 276, 780, 8340, 519, 4806, 543, 2626, 519, 2243, 563, 276, 267, 476, 1556, 267, 476, 1704, 267, 476, 2537, 267, 476, 3066, 267, 476, 3374, 267, 476, 6078, 267, 476, 5325, 454, 7617, 1297, 1131, 7157, 3514, 519, 4806, 888, 513, 269, 476, 5325, 546, 269, 476, 7871, 536, 269, 476, 276, 552, 269, 476, 4366, 524, 269, 476, 5392, 692, 277, 780, 263, 278, 1341, 476, 273, 264, 1341, 476, 274, 815, 476, 278, 1341, 630, 273, 1341, 1109, 12467, 513, 269, 476, 274, 546, 269, 476, 271, 536, 269, 476, 273, 552, 269, 476, 1321, 524, 269, 476, 278, 692, 278, 780, 7617, 3830, 14550, 519, 862, 32477, 3959, 540, 1840, 888, 513, 269, 476, 274, 1341, 476, 273, 1341, 476, 272, 815, 476, 277, 546, 269, 476, 275, 1107, 476, 274, 815, 476, 272, 536, 269, 476, 274, 1341, 476, 273, 815, 476, 273, 1341, 476, 274, 552, 269, 476, 273, 1341, 476, 274, 815, 476, 272, 1341, 476, 275, 524, 269, 476, 273, 1535, 476, 274, 815, 476, 273, 1341, 476, 275, 692, 279, 780, 299, 13453, 28520, 2947, 11084, 693, 513, 3077, 269, 2701, 13603, 909, 519, 11084, 543, 28520, 782, 540, 873, 454, 520, 519, 3077, 1586, 269, 1215, 1082, 2053, 1705, 23436, 12235, 888, 513, 269, 476, 276, 546, 269, 476, 278, 536, 269, 476, 1015, 552, 269, 476, 1428, 524, 269, 476, 273, 692, 280, 780, 2767, 267, 271, 5392, 454, 268, 1724, 267, 280, 2767, 454, 513, 269, 476, 2412, 267, 9032, 277, 546, 269, 476, 1724, 267, 14338, 536, 269, 476, 1724, 267, 15171, 552, 269, 476, 1691, 267, 14338, 524, 269, 476, 1691, 267, 280, 2420, 692, 1015, 780, 305, 895, 547, 519, 14282, 4627, 563, 6246, 267, 3607, 273, 454, 513, 269, 476, 6246, 267, 6110, 546, 269, 476, 6246, 267, 4968, 536, 269, 476, 6246, 267, 3607, 273, 552, 269, 476, 6246, 267, 11740, 524, 269, 476, 2412, 267, 1822, 692, 1556, 780, 2537, 2473, 476, 1724, 21591, 513, 269, 476, 30640, 546, 269, 476, 9692, 536, 269, 476, 3607, 552, 269, 476, 26482, 524, 269, 476, 30156, 692, 1321, 780, 5379, 454, 343, 476, 2767, 454, 513, 269, 476, 10463, 546, 269, 476, 272, 267, 9083, 536, 269, 476, 272, 267, 26237, 552, 269, 476, 272, 267, 12208, 524, 269, 476, 866, 692, 1724, 780, 278, 267, 280, 5038, 454, 268, 276, 267, 279, 2641, 454, 513, 269, 476, 273, 267, 25838, 546, 269, 476, 273, 267, 271, 6246, 536, 269, 476, 1724, 267, 4281, 276, 552, 269, 476, 274, 267, 16960, 524, 269, 476, 273, 267, 16960, 692, 1691, 780, 278, 3066, 2473, 476, 6321, 21591, 513, 269, 476, 4375, 267, 28638, 546, 269, 476, 279, 267, 25171, 536, 269, 476, 274, 267, 277, 3393, 552, 269, 476, 2412, 267, 279, 2190, 524, 269, 476, 4281, 276, 692, 1428, 780, 278, 267, 31239, 2473, 476, 9818, 21591, 513, 269, 476, 278, 267, 16960, 546, 269, 476, 11011, 267, 26392, 536, 269, 476, 2764, 267, 25118, 552, 269, 476, 278, 2767, 267, 14625, 524, 269, 476, 278, 1839, 267, 6344, 0, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 4179, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 454, 29479, 11833, 692, 898, 568, 4867, 476, 2190, 3057, 476, 1001, 278, 267, 476, 2537, 281, 1240, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 4014, 519, 10958, 8637, 538, 717, 648, 6807, 521, 3844, 10918, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 10048, 4526, 454, 16274, 281, 476, 6349, 4119, 476, 1220, 277, 454, 15803, 281, 476, 21497, 454, 19613, 281, 12872, 701, 328, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 24241, 1496, 271, 3910, 2016, 281, 476, 271, 692, 7212, 519, 10958, 8637, 538, 717, 648, 6807, 521, 3844, 10918, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1240, 9484, 476, 1220, 277, 267, 476, 2420, 281, 5400, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 7212, 519, 10958, 8637, 538, 717, 648, 6807, 5889, 23717, 338, 3844, 10918, 8664, 616, 4397, 547, 2673, 1369, 2947, 1296, 607, 513, 1267, 540, 6735, 689, 513, 1975, 754, 27832, 10958, 8257, 4558, 602, 1175, 8118, 267, 1346, 6753, 786, 711, 3251, 7477, 656, 585, 1279, 269, 769, 519, 2947, 1296, 2094, 519, 6679, 540, 2051, 5459, 5889, 23717, 338, 267, 513, 562, 1180, 4593, 870, 8257, 4558, 267, 513, 1007, 4558, 814, 8118, 693, 519, 4087, 540, 1169, 4558, 538, 519, 10918, 8664, 602, 6806, 1317, 621, 1223, 711, 14526, 609, 2051, 5459, 5889, 23717, 338, 780, 7617, 540, 519, 1739, 267, 952, 3020, 267, 1034, 12517, 4617, 839, 519, 4661, 2496, 288, 281, 6624, 5561, 540, 2051, 5459, 5889, 23717, 338, 616, 4397, 547, 798, 1447, 10918, 972, 982, 789, 1705, 1354, 519, 1975, 754, 27832, 4558, 8118, 780, 289, 281, 19102, 2084, 569, 267, 519, 8637, 602, 723, 8118, 538, 519, 3844, 10918, 8664, 2094, 2051, 5459, 5889, 23717, 338, 8118, 723, 1044, 10958, 8637, 780, 290, 281, 4263, 1459, 267, 519, 3844, 10918, 8664, 814, 607, 1082, 8637, 5665, 538, 621, 607, 621, 2479, 1185, 780, 291, 281, 7021, 519, 1576, 540, 519, 1985, 2947, 1296, 267, 621, 568, 4397, 602, 717, 648, 6807, 5889, 23717, 338, 2551, 786, 1332, 693, 513, 5488, 2557, 982, 621, 814, 585, 519, 2250, 1896, 5756, 780, 292, 281, 6624, 8637, 538, 519, 3844, 10918, 8664, 6133, 2010, 540, 25584, 602, 616, 711, 2139, 693, 2901, 1975, 754, 27832, 610, 2051, 5459, 5889, 23717, 338, 563, 2252, 596, 723, 1022, 2055, 454, 6124, 2336, 29262, 454, 16274, 281, 476, 1839, 9947, 476, 1220, 277, 454, 15803, 281, 476, 14138, 279, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 14681, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1240, 9484, 476, 1220, 277, 267, 476, 2420, 281, 736, 454, 563, 563, 780, 780, 296, 3513, 979, 609, 661, 563, 12421, 454, 16274, 281, 476, 2767, 4119, 476, 1220, 277, 454, 15803, 281, 476, 1015, 454, 19613, 281, 11404, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 1240, 9484, 476, 1220, 277, 267, 476, 2537, 281, 1626, 454, 296, 3494, 602, 538, 1931, 547, 14020, 519, 4661, 267, 649, 991, 547, 6961, 602, 519, 6806, 8637, 786, 711, 581, 8719, 676, 1007, 8637, 563, 296, 786, 979, 609, 645, 780, 4913, 267, 952, 519, 4661, 568, 602, 8637, 786, 711, 2673, 1202, 3145, 540, 1007, 6735, 267, 1287, 17281, 318, 4252, 568, 2953, 563, 10048, 4526, 454, 16274, 281, 476, 6349, 4119, 476, 1220, 277, 454, 15803, 281, 476, 21497, 454, 19613, 281, 12872, 701, 328, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 24241, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 866, 9484, 476, 1220, 277, 267, 476, 876, 281, 1015, 454, 777, 3233, 341, 7666, 24473, 5206, 912, 296, 3494, 602, 538, 1931, 547, 14020, 519, 4661, 267, 649, 991, 547, 6961, 602, 519, 6806, 8637, 786, 711, 581, 8719, 676, 1007, 8637, 563, 296, 786, 979, 609, 645, 780, 4913, 267, 952, 519, 4661, 568, 602, 8637, 786, 711, 2673, 1202, 3145, 540, 1007, 6735, 267, 1287, 17281, 318, 4252, 568, 2953, 780, 1432, 568, 519, 4661, 538, 713, 2013, 10371, 1862, 11631, 594, 3112, 5544, 621, 780, 12179, 10911, 575, 15843, 1934, 5225, 1796, 909, 2483, 29262, 454, 16274, 281, 476, 1839, 9947, 476, 1220, 277, 454, 15803, 281, 476, 14138, 279, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 14681, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 866, 9484, 476, 1220, 277, 267, 476, 876, 281, 2420, 454, 777, 3233, 341, 7666, 24473, 5206, 912, 296, 3494, 602, 538, 1931, 547, 14020, 519, 4661, 267, 649, 991, 547, 6961, 602, 519, 6806, 8637, 786, 711, 581, 8719, 676, 1007, 8637, 563, 296, 786, 979, 609, 645, 780, 4913, 267, 952, 519, 4661, 568, 602, 8637, 786, 711, 2673, 1202, 3145, 540, 1007, 6735, 267, 1287, 17281, 318, 4252, 568, 2953, 780, 328, 3858, 713, 4661, 568, 3833, 14845, 267, 1317, 922, 23350, 543, 3932, 616, 711, 1360, 2312, 780, 7712, 1975, 754, 27832, 568, 513, 10958, 543, 2051, 5459, 781, 568, 513, 1875, 10958, 4558, 267, 594, 1589, 538, 1931, 585, 519, 1964, 540, 519, 8637, 547, 7639, 267, 789, 575, 27198, 6133, 1945, 1114, 267, 1317, 891, 476, 273, 2462, 8637, 723, 4988, 1312, 519, 10958, 543, 1875, 1673, 4593, 870, 563, 6546, 729, 1250, 1620, 269, 1809, 594, 993, 3833, 11821, 1932, 563, 29262, 454, 16274, 281, 476, 2641, 3057, 476, 1220, 277, 454, 15803, 281, 476, 13647, 271, 454, 19613, 281, 10854, 531, 648, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 2412, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 866, 9484, 476, 1220, 277, 267, 476, 4905, 281, 736, 454, 1084, 23036, 318, 4252, 5206, 912, 777, 3233, 341, 7666, 24473, 5206 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8660, 272, 454, 4200, 454, 15965, 728, 676, 476, 274, 454, 3451, 454, 274, 265, 274, 265, 274, 265, 3451, 454, 3451, 454, 15965, 728, 676, 476, 274, 454, 1556, 454, 274, 265, 274, 265, 274, 265, 274, 265, 1556, 454, 1556, 568, 6305, 865, 519, 6305, 1249, 334, 1436, 568, 454, 274, 265, 274, 265, 274, 265, 274, 265, 1556, 610, 476, 274, 317, 275, 265, 1556, 0, 306, 15471, 2685, 4080, 713, 15942, 6011, 563, 2171, 946, 707, 21912, 1103, 9043, 543, 2534, 1239, 547, 2123, 1125, 18537, 543, 547, 1397, 596, 811, 4143, 18537, 269, 1411, 666, 1689, 707, 740, 7375, 20471, 563, 10000, 5765, 22391, 18704, 454, 9943, 692, 258, 8641, 532, 267, 32437, 1299, 3955, 32383, 692, 273, 267, 277, 1240, 5784, 692, 13775, 593, 692, 13775, 538, 281, 5303, 454, 1892, 9509, 8745, 454, 4467, 618, 4422, 1934, 780, 6701, 596, 2386, 596, 1616, 547, 8786, 3143, 454, 7312, 5048, 4422, 1934, 454, 1892, 2142, 519, 1101, 547, 6085, 692, 2162, 8641, 532, 267, 32437, 1299, 3955, 32383, 692, 272, 269, 476, 272, 269, 23959, 267, 28977, 267, 1299, 12307, 22216, 2643, 595, 637, 857, 4972, 540, 4065, 4569, 9208, 476, 273, 268, 7736, 8058, 10789, 545, 25705, 269, 6103, 476, 279, 281, 14419, 519, 9386, 540, 513, 1899, 2016, 1079, 2798, 593, 519, 1899, 630, 553, 10974, 267, 538, 513, 3113, 267, 538, 513, 3349, 264, 2422, 586, 25435, 543, 9386, 547, 3113, 519, 3830, 540, 513, 1899, 14424, 519, 3928, 540, 1689, 538, 7515, 543, 11708, 543, 19665, 873, 607, 5276, 610, 22357, 3503, 606, 3830, 2016, 519, 9184, 983, 610, 8642, 1106, 540, 513, 5276, 1966, 21302, 519, 954, 30447, 4721, 1851, 7515, 267, 11708, 267, 543, 4834, 540, 3515, 267, 9878, 1880, 3007, 547, 519, 2495, 540, 18448, 543, 9386, 538, 519, 2796, 540, 519, 1966, 454, 273, 269, 476, 273, 269, 634, 3213, 15453, 8641, 1677, 5623, 17943, 8437, 3371, 476, 1428, 20028, 630, 628, 748, 663, 27551, 3952, 264, 630, 628, 748, 663, 3952, 264, 476, 1015, 32437, 570, 5723, 299, 2464, 570, 5723, 299, 2464, 476, 276, 910, 1428, 910, 1015, 910, 276, 476, 276, 476, 1015, 476, 1428, 910, 276, 7736, 8058, 29206, 4753, 303, 4811, 10758, 29308, 3633, 910, 1015, 13698, 7644, 306, 910, 1428, 12793, 454, 274, 269, 476, 274, 269, 8437, 962, 14289, 3371, 10674, 2517, 2346, 530, 31428, 16451, 23950, 21428, 17549, 16691, 1280, 6657, 544, 270, 547, 7179, 11314, 8641, 7433, 8437, 3371, 476, 276, 4112, 8724, 519, 17943, 540, 513, 31951, 8641, 8437, 3371, 630, 2521, 930, 540, 519, 7317, 2238, 693, 713, 3135, 607, 1134, 14386, 910, 276, 630, 271, 267, 271, 264, 18882, 476, 276, 2473, 14289, 910, 276, 454, 276, 269, 476, 276, 269, 20028, 630, 628, 748, 663, 3952, 264, 27551, 630, 628, 748, 663, 3952, 264, 11814, 539, 1239, 666, 581, 9411, 883, 513, 3349, 547, 1287, 1711, 10288, 8424, 267, 3515, 593, 513, 3113, 267, 543, 4834, 563, 277, 269, 476, 277, 269, 1284, 1223, 946, 513, 3349, 547, 5750, 519, 4463, 540, 519, 5810, 607, 942, 10596, 563, 278, 269, 476, 278, 269, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 27551, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 630, 7825, 264, 901, 8768, 568, 3395, 693, 513, 3586, 2557, 282, 4061, 267, 621, 568, 5276, 269, 1403, 621, 568, 711, 3395, 693, 513, 3586, 2557, 621, 568, 1875, 268, 5276, 563, 279, 269, 476, 279, 269, 1284, 666, 1711, 513, 3349, 6029, 519, 3845, 14612, 609, 942, 2507, 7498, 280, 269, 476, 280, 269, 28914, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 20028, 476, 1839, 267, 1822, 476, 2412, 267, 1822, 476, 4649, 267, 1822, 476, 3583, 267, 1822, 630, 298, 332, 264, 8437, 3371, 547, 5623, 10288, 623, 4202, 901, 20987, 568, 10707, 693, 513, 3586, 2557, 282, 4061, 621, 568, 5276, 563, 1015, 269, 476, 1015, 269, 11473, 593, 8641, 532, 18103, 1229, 623, 4202, 8437, 1934, 454, 1556, 269, 476, 1556, 269, 901, 3349, 666, 581, 7396, 607, 10288, 8424, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 1535, 27551, 630, 7825, 264, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 962, 634, 10288, 8424, 1131, 581, 281, 630, 343, 267, 586, 264, 630, 272, 267, 273, 264, 630, 273, 267, 275, 264, 630, 274, 267, 277, 264, 630, 275, 267, 279, 264, 630, 276, 267, 1015, 264, 630, 277, 267, 1321, 264, 630, 278, 267, 1691, 264, 630, 279, 267, 1626, 264, 630, 280, 267, 1240, 264, 630, 1015, 267, 736, 994, 1321, 269, 476, 1321, 269, 901, 3349, 666, 581, 5828, 883, 10288, 8424, 281, 28914, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 5940, 4545, 476, 1839, 267, 1822, 476, 2412, 267, 1822, 476, 4649, 267, 1822, 476, 3583, 267, 1822, 552, 630, 298, 332, 264, 634, 10288, 8424, 1131, 581, 281, 630, 343, 267, 586, 264, 630, 272, 267, 476, 1839, 267, 1822, 264, 630, 273, 267, 476, 2412, 267, 1822, 264, 630, 274, 267, 476, 4649, 267, 1822, 264, 630, 275, 267, 476, 3583, 267, 1822, 994, 1724, 269, 476, 1724, 269, 8641, 532, 18103, 1229, 623, 4202, 630, 28781, 585, 2689, 264, 2422, 513, 5094, 3113, 585, 1142, 269, 630, 343, 267, 586, 264, 630, 272, 267, 273, 264, 630, 343, 267, 586, 264, 630, 273, 267, 275, 264, 630, 272, 267, 476, 1839, 267, 1822, 264, 630, 274, 267, 277, 264, 630, 273, 267, 476, 2412, 267, 1822, 264, 630, 275, 267, 279, 264, 630, 274, 267, 476, 4649, 267, 1822, 264, 630, 276, 267, 1015, 264, 630, 275, 267, 476, 3583, 267, 1822, 264, 630, 277, 267, 1321, 264, 630, 278, 267, 1691, 264, 630, 279, 267, 1626, 264, 630, 280, 267, 1240, 264, 630, 1015, 267, 736, 264, 8437, 3371, 952, 4712, 585, 547, 1451, 32437, 18140, 519, 10288, 8424, 593, 3113, 1957, 543, 1921, 547, 1106, 513, 1899, 269, 1403, 513, 2786, 1899, 3029, 982, 713, 3113, 568, 5276, 563, 1428, 269, 476, 1428, 269, 1215, 1454, 568, 519, 8768, 3395, 1142, 1554, 286, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 27551, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 630, 7825, 994, 1626, 269, 476, 1626, 269, 634, 2179, 621, 568, 3395, 568, 476, 273, 7825, 829, 1554, 269, 901, 568, 519, 2557, 540, 1689, 269, 634, 2557, 540, 1689, 568, 849, 1572, 519, 9386, 540, 519, 1899, 563, 1704, 269, 476, 1704, 269, 586, 32437, 666, 581, 1336, 476, 736, 476, 1428, 689, 6616, 2901, 27551, 476, 1015, 835, 540, 891, 281, 476, 276, 910, 1015, 910, 276, 476, 276, 476, 1015, 1535, 910, 276, 4303, 4433, 264, 513, 269, 5565, 10288, 8424, 593, 513, 910, 1015, 3113, 1899, 269, 536, 269, 5565, 10288, 8424, 593, 513, 3349, 269, 2052, 596, 3313, 519, 9386, 286, 8437, 593, 11473, 7689, 547, 1451, 875, 269, 11473, 7689, 593, 32437, 8437, 3371, 454, 1240, 269, 476, 1240, 269, 32437, 815, 32437, 815, 1689, 538, 962, 1689, 538, 2473, 2422, 707, 1702, 6591, 689, 519, 3381, 3992, 593, 9386, 543, 14419, 519, 9386, 540, 519, 1899, 585, 519, 8768, 1383, 563, 866, 269, 476, 866, 269, 630, 2791, 1223, 946, 1022, 1079, 10288, 8424, 543, 596, 1131, 1205, 519, 1482, 2626, 585, 9386, 4700, 1403, 596, 1031, 519, 10288, 8424, 630, 272, 267, 273, 264, 543, 630, 1015, 267, 476, 736, 2567, 476, 736, 910, 476, 273, 476, 1015, 910, 476, 272, 476, 1240, 476, 280, 476, 1240, 5258, 676, 476, 280, 32437, 815, 273, 2052, 596, 849, 1294, 602, 596, 666, 946, 519, 2557, 540, 1689, 538, 519, 3349, 607, 519, 9386, 286, 4303, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 27551, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 476, 1321, 476, 1691, 476, 1626, 476, 1240, 476, 736, 630, 7825, 994, 736, 269, 476, 736, 269, 1548, 568, 519, 2557, 540, 1689, 286, 28914, 4433, 264, 476, 272, 476, 273, 476, 274, 476, 275, 20028, 476, 1839, 267, 1822, 476, 2412, 267, 1822, 476, 4649, 267, 1822, 476, 3583, 267, 1822, 630, 298, 332, 264, 27973, 585, 3955, 32383, 14419, 519, 9386, 540, 519, 1899, 689, 1079, 8437, 3371, 10288, 8424, 593, 519, 3113, 1299, 5635, 269, 0, 258, 1548, 6496, 17781, 8641, 6399, 2496, 1012, 1548, 1281, 513, 5858, 3113, 2099, 2496, 288, 5858, 3113, 2982, 875, 519, 2694, 540, 1945, 9305, 547, 519, 2898, 780, 288, 5858, 3113, 568, 5258, 883, 9922, 267, 1141, 1142, 5823, 4564, 513, 1880, 7121, 780, 763, 3003, 5858, 568, 476, 272, 2898, 610, 476, 1911, 9077, 543, 513, 5823, 540, 519, 5858, 568, 513, 851, 269, 780, 1012, 1215, 798, 649, 946, 11708, 538, 4948, 1272, 2496, 28398, 1218, 786, 4324, 676, 1210, 11708, 547, 6655, 2883, 1344, 547, 741, 7218, 269, 589, 3113, 666, 581, 1360, 13561, 538, 10655, 1239, 543, 13936, 621, 538, 835, 1747, 269, 589, 3113, 666, 581, 513, 1360, 2500, 1907, 538, 9306, 3308, 1344, 2864, 24847, 269, 4634, 1053, 666, 946, 513, 3113, 607, 621, 568, 1945, 2241, 547, 2721, 780, 1012, 1215, 798, 596, 1265, 519, 6871, 540, 513, 5858, 3113, 2496, 2414, 5173, 519, 6871, 1142, 20105, 568, 4502, 267, 2268, 519, 5086, 540, 1142, 20105, 543, 7941, 713, 676, 476, 11740, 1287, 9062, 621, 676, 476, 1911, 269, 1677, 1265, 519, 1297, 540, 4773, 540, 1239, 1142, 20105, 4564, 267, 9062, 519, 6871, 602, 1142, 20105, 568, 4502, 676, 519, 2698, 1297, 540, 519, 1239, 5036, 780, 1012, 1548, 616, 519, 2010, 540, 3113, 2496, 15650, 540, 932, 11301, 634, 2185, 1034, 1455, 616, 4440, 1899, 11708, 267, 3046, 11708, 543, 1277, 9999, 267, 2650, 12125, 267, 543, 31951, 11708, 269, 1358, 616, 3622, 1031, 585, 267, 543, 616, 1655, 585, 267, 3833, 1114, 1919, 269, 1411, 1131, 946, 281, 4446, 11708, 547, 1397, 2338, 602, 616, 4830, 540, 1142, 824, 780, 1012, 1548, 2600, 540, 513, 5858, 568, 476, 272, 270, 277, 540, 513, 5858, 2496, 1428, 269, 280, 1428, 5392, 275, 29616, 866, 2600, 272, 2234, 1014, 568, 3160, 547, 476, 271, 269, 4817, 275, 280, 3066, 4792, 279, 4649, 272, 4391, 476, 272, 270, 277, 5858, 267, 610, 476, 1428, 269, 280, 1428, 5392, 275, 29616, 866, 2600, 780, 1012, 1215, 798, 596, 2328, 606, 3830, 585, 513, 5858, 3113, 2496, 763, 4099, 268, 31709, 1106, 540, 519, 5858, 3830, 568, 538, 519, 3898, 630, 343, 1107, 554, 264, 273, 1341, 630, 344, 1107, 737, 264, 273, 815, 678, 273, 267, 609, 519, 4099, 1373, 693, 519, 1448, 630, 327, 267, 737, 264, 543, 519, 8953, 1373, 968, 337, 892, 780, 1012, 1548, 616, 519, 476, 277, 2010, 540, 11708, 2496, 17843, 2010, 540, 11708, 18118, 3113, 269, 7412, 11708, 9414, 875, 1644, 1239, 2242, 936, 513, 1808, 1974, 540, 942, 269, 2560, 4446, 3113, 269, 4446, 11708, 2709, 513, 2241, 1259, 547, 5635, 25948, 2418, 540, 1022, 2186, 267, 1519, 6427, 1559, 267, 1895, 7306, 543, 2883, 11236, 269, 2560, 476, 274, 1547, 11625, 1748, 269, 2560, 2876, 6945, 269, 2560, 9351, 3113, 269, 2560, 2480, 2660, 4729, 780, 1012, 1548, 568, 513, 5858, 3113, 585, 3214, 2496, 288, 5858, 3113, 568, 513, 3113, 538, 519, 3337, 540, 513, 5858, 602, 2982, 1114, 2694, 269, 3962, 851, 540, 513, 5858, 3113, 4564, 513, 1114, 7121, 269, 1411, 666, 946, 513, 5858, 3113, 547, 11617, 5635, 519, 2694, 547, 519, 2898, 267, 543, 519, 2694, 547, 1142, 824, 269, 589, 3677, 851, 1797, 602, 519, 7121, 6719, 676, 602, 851, 568, 811, 1455, 780, 1012, 1772, 513, 2650, 5750, 543, 513, 5858, 3113, 519, 1482, 3364, 2496, 288, 5858, 3113, 270, 9225, 5750, 568, 513, 1259, 540, 28388, 513, 1305, 540, 28547, 1239, 610, 18071, 519, 1114, 2418, 540, 513, 2016 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3282, 269, 634, 32329, 5912, 539, 689, 513, 2757, 4346, 547, 519, 2413, 2518, 4346, 538, 1447, 982, 3368, 513, 2540, 267, 2705, 267, 519, 4028, 2804, 2208, 4547, 827, 8739, 20300, 10593, 1519, 513, 15295, 19261, 538, 799, 32329, 4182, 1023, 17663, 1447, 982, 476, 736, 4939, 540, 519, 2698, 2551, 543, 1152, 827, 476, 1015, 4939, 540, 519, 13781, 269, 667, 1392, 2305, 3646, 941, 1128, 21114, 689, 519, 2038, 2395, 540, 3084, 1436, 547, 1450, 519, 2197, 547, 2226, 513, 25133, 4346, 1256, 1310, 519, 3282, 19614, 3247, 13576, 269, 12658, 518, 958, 14102, 1857, 1568, 543, 3573, 5989, 1646, 3177, 519, 2609, 2877, 547, 1711, 513, 2922, 543, 10694, 960, 543, 2713, 1604, 602, 24643, 1870, 1004, 267, 14666, 267, 543, 1163, 27074, 622, 5520, 689, 17521, 1472, 519, 8608, 269, 17912, 1212, 9749, 723, 1031, 519, 32329, 607, 20457, 585, 1134, 8153, 24299, 269, 22505, 532, 2621, 267, 30145, 267, 1148, 2982, 267, 543, 824, 9913, 616, 4371, 538, 1158, 1362, 28503, 1472, 519, 2197, 538, 1840, 547, 3872, 19014, 267, 29468, 267, 543, 2866, 6030, 269, 14579, 5092, 7888, 2804, 4507, 5916, 609, 519, 10661, 540, 1863, 22271, 821, 2127, 723, 9415, 29505, 3549, 540, 782, 7306, 547, 1305, 909, 6237, 32387, 610, 22071, 538, 519, 32329, 269, 4634, 1498, 519, 32329, 8188, 2591, 267, 538, 513, 30223, 3148, 11303, 676, 17521, 7680, 2804, 24187, 543, 2152, 1644, 547, 19514, 3892, 540, 5763, 267, 519, 32329, 6763, 607, 1383, 540, 22371, 543, 13884, 563, 30531, 974, 2845, 2102, 27119, 521, 747, 32489, 267, 19804, 2098, 1872, 836, 1990, 340, 10523, 655, 769, 327, 5306, 1990, 340, 2144, 15595, 1084, 454, 306, 773, 544, 7238, 577, 1084, 2098, 1872, 836, 1990, 340, 10523, 655, 769, 327, 5306, 2144, 15595, 1084, 286, 667, 2335, 1217, 328, 7967, 27119, 521, 747, 15191, 345, 339, 3331, 376, 828, 796, 572, 516, 21277, 330, 974, 912, 6781, 323, 592, 19207, 2006, 267, 589, 269, 630, 1001, 274, 1040, 1325, 21553, 5953, 337, 5953, 339, 535, 13682, 555, 5953, 330, 4275, 16481, 3534, 383, 361, 3873, 281, 620, 3620, 599, 520, 620, 268, 6359, 339, 9874, 685, 12011, 1695, 630, 763, 900, 29521, 538, 519, 3965, 540, 922, 14930, 543, 20766, 1040, 26512, 667, 4725, 328, 281, 10507, 323, 541, 520, 563, 25105, 24703, 267, 589, 1421, 1325, 305, 739, 600, 8643, 267, 715, 1421, 1299, 15623, 267, 674, 269, 630, 1001, 272, 1040, 8490, 513, 4182, 267, 476, 2412, 13012, 540, 519, 32329, 538, 5961, 269, 29903, 281, 1325, 715, 529, 337, 23255, 563, 2704, 6363, 1695, 574, 267, 631, 269, 630, 1960, 276, 1040, 3245, 986, 7714, 547, 13284, 1127, 281, 589, 1650, 540, 26512, 667, 4725, 328, 269, 5507, 281, 5507, 4741, 540, 6259, 5525, 563, 2704, 29841, 553, 574, 328, 267, 590, 269, 630, 2735, 279, 1040, 634, 7242, 540, 533, 16820, 538, 519, 13323, 630, 273, 526, 1196, 12175, 1715, 3840, 267, 12924, 281, 30296, 563, 2704, 29841, 553, 574, 328, 267, 590, 269, 630, 1001, 273, 1040, 26588, 26400, 5794, 13749, 281, 9737, 5101, 543, 4639, 269, 26588, 26400, 281, 1325, 1627, 553, 574, 328, 23549, 563, 2704, 4149, 611, 2378, 344, 267, 631, 269, 630, 1001, 271, 267, 5412, 476, 272, 1040, 32329, 3282, 547, 632, 10968, 538, 476, 3583, 1296, 269, 2506, 29521, 476, 2190, 270, 278, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 655, 29521, 26316, 2593, 11486, 5350, 27160, 1595, 344, 1922, 12099, 270, 340, 2801, 268, 11798, 3562, 31398, 8541, 2987, 268, 3583, 26188, 268, 1001, 271, 268, 1321, 268, 4905, 268, 272, 269, 26825, 6795, 275, 454, 2704, 4149, 599, 324, 724, 267, 674, 269, 630, 1960, 279, 1040, 8585, 31008, 779, 1909, 538, 513, 4657, 2486, 281, 634, 2013, 540, 29903, 267, 476, 5002, 271, 1700, 3445, 269, 5664, 5101, 5525, 267, 4097, 263, 272, 1070, 476, 9262, 1700, 9083, 269, 9061, 8269, 454, 2704, 4149, 599, 324, 724, 267, 674, 269, 630, 1220, 272, 1040, 6468, 543, 2804, 2242, 538, 519, 6259, 13323, 281, 634, 2013, 540, 519, 2136, 6259, 2506, 29521, 269, 6226, 652, 540, 5664, 5101, 5525, 630, 291, 6865, 2464, 1070, 1015, 263, 273, 1070, 476, 1704, 1700, 3066, 269, 9061, 8269, 454, 2704, 342, 11047, 328, 267, 715, 269, 630, 1001, 275, 267, 4989, 476, 2420, 1040, 21079, 519, 1297, 540, 1163, 27074, 622, 4600, 538, 519, 717, 6717, 267, 3081, 32329, 10579, 269, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 270, 340, 2801, 17320, 17922, 22812, 706, 576, 5991, 3784, 6361, 7721, 6312, 686, 622, 22086, 619, 2987, 3766, 764, 1606, 904, 268, 340, 2801, 15902, 3563, 454, 20606, 710, 267, 645, 269, 630, 1001, 275, 267, 4873, 476, 1789, 1040, 32329, 2547, 7925, 1851, 717, 6717, 2477, 547, 3282, 3902, 7771, 269, 13323, 5240, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 326, 5285, 18080, 2593, 11486, 5350, 27160, 1595, 344, 270, 340, 2801, 6122, 770, 8686, 592, 1676, 762, 268, 600, 784, 3766, 764, 28029, 1845, 3562, 268, 11798, 17376, 823, 11546, 743, 710, 268, 272, 269, 13670, 2412, 278, 272, 454, 6826, 615, 344, 267, 631, 269, 670, 269, 630, 1220, 280, 1040, 12287, 5924, 1146, 1436, 2816, 1922, 9231, 543, 28146, 7029, 547, 519, 3919, 281, 21126, 689, 519, 32329, 269, 9061, 8836, 5004, 281, 1323, 4139, 4750, 267, 1626, 263, 273, 1070, 476, 9692, 1700, 3422, 269, 9061, 8269, 454, 7692, 12027, 267, 630, 1001, 276, 267, 5988, 476, 2764, 1040, 7577, 8840, 32329, 11668, 1876, 585, 1818, 9441, 960, 1279, 3108, 269, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 11486, 5350, 9706, 5966, 1922, 12099, 270, 4818, 1415, 31771, 268, 340, 2801, 2000, 629, 712, 25237, 16519, 6194, 15041, 1943, 2465, 22086, 17489, 3620, 2293, 454, 4467, 3966, 625, 8844, 10361, 18392, 547, 29903, 269, 630, 1001, 276, 267, 5147, 1040, 29903, 267, 32329, 281, 2290, 13328, 11068, 7232, 770, 6820, 6355, 7896, 563, 291, 822, 1749, 517, 267, 595, 269, 631, 269, 630, 1220, 276, 1040, 634, 2136, 6259, 2506, 29521, 281, 589, 1353, 538, 6668, 269, 5507, 281, 22118, 928, 681, 1329, 1676, 23255, 563, 291, 984, 2125, 269, 700, 269, 630, 1001, 277, 267, 4728, 476, 279, 1040, 29874, 4655, 3762, 476, 273, 269, 275, 2929, 585, 322, 4601, 19774, 269, 25611, 281, 2136, 8315, 4400, 8189, 593, 25083, 525, 630, 7419, 295, 10135, 2567, 634, 6167, 25083, 324, 10837, 269, 12232, 693, 5291, 2517, 4178, 269, 26044, 13062, 3820, 270, 6321, 4765, 280, 4375, 280, 11258, 454, 14976, 4149, 320, 14508, 267, 670, 269, 630, 1001, 273, 1040, 6468, 543, 519, 4346, 281, 2776, 268, 11798, 13323, 2829, 269, 769, 589, 269, 661, 269, 12312, 2513, 630, 10955, 13776, 13323, 2021, 630, 653, 269, 476, 15704, 1700, 14917, 1040, 1627, 20345, 281, 2349, 334, 1682, 12064, 1627, 20345, 7690, 14539, 563, 10387, 597, 10620, 2657, 543, 8881, 12079, 619, 2048, 300, 755, 581, 14146, 539, 538, 14716, 30359, 9957, 630, 1001, 277, 267, 5147, 476, 1626, 1040, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 270, 340, 2801, 17320, 17922, 270, 655, 597, 10620, 268, 8234, 7146, 1606, 23245, 27984, 1553, 619, 2173, 755, 15515, 15041, 23903, 2987, 268, 18586, 5498, 2758, 454, 2750, 17763, 476, 1708, 271, 269, 630, 1001, 277, 1040, 24722, 3896, 585, 519, 1158, 1163, 334, 476, 1708, 271, 538, 29903, 269, 12232, 693, 5291, 2517, 10339, 334, 1708, 271, 706, 321, 2967, 269, 2801, 270, 20880, 270, 10339, 334, 1708, 271, 269, 5684, 343, 454, 293, 320, 1506, 267, 631, 269, 630, 1001, 277, 267, 4873, 476, 1789, 1040, 5890, 334, 476, 1708, 271, 3785, 1305, 547, 1683, 12905, 8323, 585, 29903, 779, 25255, 269, 634, 2817, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 6533, 1049, 269, 2801, 11486, 5350, 24579, 704, 1399, 270, 10339, 334, 268, 1708, 271, 3491, 915, 338, 1606, 564, 3562, 4491, 728, 6066, 569, 3146, 331, 3971, 16519, 268, 706, 9346, 529, 9762, 847, 832, 454, 293, 1716, 663, 525, 267, 918, 269, 630, 1220, 276, 267, 5412, 476, 2764, 1040, 21035, 543, 10240, 16072, 8874, 8929, 538, 32329, 538, 476, 1001, 276, 269, 10609, 1446, 324, 329, 8648, 1715, 4944, 1653, 6732, 269, 12232, 693, 5291, 2517, 4178, 269, 16223, 1446, 324, 329, 9392, 2593, 11305, 640, 9392, 30032, 7308, 2275, 640, 270, 3128, 16072, 7146, 1532, 14709, 6229, 1922, 559, 916, 6879, 582, 2987, 268, 340, 2801, 2987, 268, 1001, 276, 454, 23742, 2719, 538, 29903, 269, 630, 1001, 277, 1040, 29903, 4670, 543, 7641, 10243, 269, 12232, 693, 5291, 2517, 4178, 8807, 559, 332, 706, 321, 2967, 10993, 269, 2801, 11721, 559, 2719, 2987, 268, 706, 321, 2967, 454, 293, 6308, 23878, 267, 595, 269, 630, 1001, 277, 267, 5130, 1040, 476, 278, 9413, 2083, 4364, 1318, 1934, 538, 519, 32329, 269, 700, 990, 514, 685, 29903, 269, 12232, 693, 4179, 2517, 21754, 8114, 321, 2967, 2593, 270, 10623, 1155, 270, 278, 1606, 5585, 2173, 990, 625, 3917, 537, 2173, 599, 11399, 2173, 599, 27677, 3620, 1511, 8153, 2914, 699, 1922, 559, 4364, 28878, 268, 1877, 2987, 7308, 268, 340, 2801, 454, 2690, 22978, 548, 1013, 518, 267, 594, 1421, 8496, 328, 267, 631, 269, 570, 1421, 17286, 574, 267, 670, 1421, 1299, 31089, 1578, 267, 661, 269, 594, 269, 630, 1001, 273, 1040, 2506, 597, 520, 5314, 281, 8159, 519, 2188, 602, 3310, 519, 19684, 3664, 540, 12820, 538, 519, 32329, 269, 634, 4139, 4750, 540, 5274, 12754, 5004, 267, 2537, 263, 273, 1070, 476, 32076, 1700, 275, 2641, 269, 9061, 8269, 454, 30025, 540, 519, 8892, 269, 630, 333, 6155, 12175, 634, 4013, 22045, 540, 519, 32329, 2229, 269, 12232, 693, 5291, 2517, 326, 17922, 269, 2801, 19841, 17320, 17922, 6361, 1922, 1956, 282, 329, 338, 11970, 573, 24210, 297, 279, 288, 336, 343, 340, 295, 341, 271, 345, 342, 276, 321, 292, 336, 327, 17751, 4932, 304, 279, 294, 269, 1495, 18249, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 271, 320, 1040, 30551, 1867, 593, 2804, 543, 1514, 7516, 538, 519, 2136, 6259, 2506, 29521, 476, 1220, 280, 269, 2136, 6259, 2506, 29521, 2817, 13163, 540, 10803, 269, 12232, 693, 5291, 2517, 7699, 652, 520, 2524, 10993, 269, 2801, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 271, 321, 1040, 2136, 6259, 2506, 29521, 5075, 476, 1708, 272, 269, 8158, 689, 5291, 2517, 4178, 269, 9679, 1708, 272, 269, 2801, 7933, 5877, 338, 270, 308, 20067, 13305, 1707, 1708, 272, 5174, 549, 577, 675, 30165, 15005, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 272, 1040, 15510, 9193, 476, 1220, 277, 1700, 1001, 271, 269, 29903, 267, 32329, 281, 2136, 6259, 2506, 29521, 2817, 13163, 540, 10803, 269, 5291, 2517, 7699, 652, 520, 2524, 10993, 269, 2801, 454, 30025, 540, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1040, 630, 1001, 277, 1040, 634, 32329, 543, 2518, 3282, 3761, 269, 32329, 2377, 29983, 538, 519, 2136, 2276, 540, 3013, 3896, 269, 12232, 693, 5291, 2517, 4178, 269, 340, 2801, 268, 10603, 29983, 3820, 270, 12671, 268, 340, 2801, 19841, 1458, 270, 340, 2801, 7146, 25322, 2128, 268, 11798, 23418, 569, 454, 30025, 540, 519, 2136, 2276, 540, 3013, 630, 24433, 1040, 630, 1001, 277, 267, 5130, 476, 1626, 1040, 15048, 11341, 547, 519, 4745, 3102, 1544, 540, 2962, 968, 25363, 7695, 4303, 892, 540, 5130, 476, 1626, 267, 476, 1001, 277, 269, 12754, 4741, 281, 2136, 2276, 4972, 540, 27308, 269, 7046, 294, 990, 3896, 269, 12232, 693, 4179, 2517, 4178, 6745, 516, 21204, 10993, 270, 637, 1830, 7266, 518, 4882, 534, 2388, 270, 3682, 31810, 18025, 1137, 270, 597, 534, 269, 5684, 343, 454, 3891, 731, 5174, 5674, 267, 674, 269, 630, 1220, 272, 1040, 634, 17174, 2486, 540, 519, 32329, 543, 922, 2757, 4346, 269, 769, 1325, 2806, 539, 267, 594, 269, 1299, 4477, 569, 518, 267, 623, 269, 630, 32295, 13776, 2136, 6259, 2506, 29521, 281, 589, 1007, 5133, 630, 653, 269, 476, 7176, 1700, 14138, 1040, 5507, 281, 2558, 1211, 4964, 563, 3891, 731, 5174, 5674, 267, 674, 269, 630, 1220, 276 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 454, 1892, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 279, 343, 1341, 476, 275, 270, 476, 274, 815, 476, 273, 343, 910, 476, 279, 270, 476, 274, 815, 476, 279, 343, 1341, 476, 275, 815, 476, 273, 343, 910, 476, 279, 815, 476, 279, 343, 910, 476, 273, 343, 815, 910, 279, 910, 476, 275, 815, 476, 277, 343, 815, 910, 1321, 815, 476, 277, 343, 270, 277, 815, 910, 1321, 270, 277, 1535, 815, 910, 273, 454, 1892, 654, 8582, 454, 1892, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 277, 343, 1341, 476, 275, 1315, 274, 815, 476, 273, 1341, 1535, 910, 476, 275, 1315, 274, 815, 277, 343, 1341, 476, 275, 815, 476, 273, 1341, 1535, 910, 476, 275, 815, 476, 277, 343, 1341, 1535, 815, 476, 273, 910, 476, 275, 1341, 476, 275, 815, 476, 278, 343, 815, 476, 273, 815, 476, 278, 343, 270, 278, 815, 476, 273, 270, 278, 1535, 815, 476, 271, 269, 2764, 476, 273, 270, 274, 263, 476, 275, 343, 910, 476, 273, 264, 815, 476, 273, 270, 274, 263, 1535, 910, 476, 275, 264, 815, 476, 279, 343, 1341, 476, 275, 270, 476, 274, 815, 476, 273, 343, 910, 476, 279, 270, 476, 274, 815, 476, 279, 343, 1341, 476, 275, 815, 476, 273, 343, 910, 476, 279, 815, 476, 279, 343, 910, 476, 273, 343, 815, 910, 279, 910, 476, 275, 815, 476, 277, 343, 815, 910, 1321, 815, 476, 277, 343, 270, 277, 815, 910, 1321, 270, 277, 1535, 815, 910, 273, 454, 1892, 654, 8582, 454, 5415, 9452, 15236, 1635, 544, 684, 3122, 14378, 278, 454, 18439, 3776, 15080, 543, 6201, 692, 2521, 3776, 4033, 15750, 2572, 2439, 21900, 657, 585, 4147, 1107, 9612, 585, 3427, 4149, 12522, 267, 11300, 12780, 16071, 630, 2005, 4634, 595, 2572, 585, 1411, 26695, 30022, 11676, 878, 1107, 31418, 1176, 5269, 543, 9523, 4279, 6441, 8504, 11676, 7879, 454, 29582, 289, 5723, 312, 691, 1107, 8073, 11426, 12502, 2044, 3203, 0, 258, 8575, 5611, 277, 2913, 675, 11872, 692, 17806, 2776, 1613, 692, 7246, 5611, 277, 700, 17614, 13543, 10691, 2464, 32516, 476, 272, 667, 9281, 29052, 28718, 3201, 661, 12702, 25972, 476, 272, 269, 476, 272, 4985, 589, 1019, 286, 552, 1370, 658, 3830, 568, 606, 3830, 602, 3568, 835, 610, 811, 16755, 540, 513, 1019, 286, 552, 1370, 4192, 1599, 269, 1496, 1103, 713, 3184, 649, 4308, 1152, 609, 8723, 16692, 338, 267, 10691, 9864, 16692, 338, 269, 9948, 634, 1931, 540, 513, 546, 269, 552, 780, 529, 519, 1931, 540, 519, 3830, 779, 5207, 1931, 12045, 282, 543, 513, 546, 269, 552, 269, 568, 5276, 952, 621, 666, 581, 2322, 538, 519, 1106, 1022, 630, 333, 7565, 343, 11924, 534, 286, 476, 272, 344, 630, 333, 286, 476, 272, 7565, 343, 11924, 6440, 5788, 5788, 266, 320, 272, 344, 630, 272, 7565, 343, 11924, 320, 271, 344, 3287, 264, 815, 674, 267, 476, 272, 1141, 513, 328, 267, 476, 271, 269, 1775, 269, 562, 267, 543, 674, 616, 782, 3252, 540, 1535, 780, 2690, 1383, 267, 586, 815, 476, 276, 344, 543, 27976, 269, 5609, 1535, 815, 476, 271, 616, 269, 678, 560, 1931, 5276, 546, 269, 552, 5919, 630, 344, 264, 273, 1341, 630, 344, 264, 276, 269, 586, 815, 608, 568, 3791, 1931, 267, 22357, 269, 2171, 7747, 602, 538, 2489, 267, 513, 546, 269, 552, 780, 13757, 1082, 3435, 267, 552, 269, 575, 269, 586, 815, 5609, 1535, 1341, 524, 267, 524, 606, 17062, 3586, 267, 568, 513, 3070, 540, 586, 815, 5430, 1535, 269, 6270, 3435, 5627, 17062, 21635, 616, 1572, 2489, 3070, 540, 513, 2016, 546, 269, 552, 907, 7102, 3070, 5833, 689, 519, 2489, 3070, 676, 4758, 884, 857, 286, 524, 2418, 547, 519, 17062, 21635, 568, 1572, 513, 1880, 3070, 540, 602, 546, 780, 324, 269, 552, 269, 575, 269, 476, 273, 586, 815, 5609, 1535, 1341, 476, 272, 568, 513, 1880, 3070, 540, 586, 815, 5430, 1535, 269, 26023, 267, 1019, 286, 552, 1370, 658, 4834, 616, 12193, 1210, 5610, 267, 543, 621, 568, 2312, 602, 972, 786, 581, 607, 1082, 5043, 725, 607, 519, 1931, 540, 519, 16692, 269, 11997, 267, 5990, 717, 2894, 2207, 3201, 25663, 28513, 5508, 4888, 32671, 268, 16704, 2207, 16692, 654, 21135, 22743, 12717, 562, 8121, 289, 3951, 305, 14473, 12164, 4306, 3198, 4811, 269, 476, 272, 780, 273, 9484, 541, 762, 4834, 589, 269, 678, 560, 1931, 546, 269, 552, 269, 568, 3021, 762, 952, 621, 666, 581, 2854, 538, 519, 1106, 631, 630, 343, 1040, 715, 630, 344, 264, 344, 815, 476, 271, 610, 5973, 1836, 267, 631, 630, 343, 264, 11459, 815, 715, 630, 344, 264, 11276, 269, 1879, 649, 2328, 519, 476, 274, 546, 269, 552, 269, 538, 713, 1106, 267, 649, 2161, 602, 649, 723, 9674, 519, 4632, 267, 1317, 3388, 5473, 1535, 568, 593, 835, 2427, 267, 543, 3388, 5473, 586, 568, 593, 519, 824, 780, 2171, 666, 4194, 971, 513, 546, 269, 552, 269, 676, 10128, 530, 269, 678, 269, 512, 780, 343, 281, 631 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 27387, 281, 744, 14701, 630, 541, 3288, 2897, 2981, 2020, 272, 269, 12361, 744, 14701, 630, 541, 3288, 2897, 2981, 2020, 3602, 700, 314, 340, 3287, 25722, 13580, 815, 772, 3287, 29679, 264, 609, 2463, 547, 512, 454, 11693, 579, 3287, 267, 334, 6661, 343, 579, 263, 271, 6745, 6661, 334, 692, 2005, 568, 606, 708, 327, 517, 334, 613, 748, 3830, 269, 898, 991, 547, 1265, 856, 2489, 1151, 663, 1880, 1151, 780, 604, 621, 568, 513, 4378, 334, 613, 748, 3830, 267, 1175, 1360, 2653, 547, 798, 6993, 332, 594, 2953, 538, 4466, 2489, 1151, 269, 888, 6343, 568, 519, 586, 335, 263, 4820, 7781, 1151, 264, 538, 1931, 547, 1265, 772, 3287, 29679, 2020, 7661, 267, 1215, 547, 798, 11201, 3288, 2897, 2981, 547, 1265, 579, 3287, 25722, 1916, 14188, 692, 273, 269, 12315, 721, 519, 9864, 988, 333, 1017, 3830, 609, 519, 10465, 543, 3355, 1871, 2042, 269, 634, 1259, 596, 723, 621, 1175, 2306, 1100, 2631, 780, 274, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 24876, 721, 519, 9864, 988, 333, 1017, 3830, 609, 519, 10465, 543, 3355, 1871, 2042, 269, 634, 1259, 596, 723, 621, 1175, 2306, 1100, 2631, 563, 1575, 13768, 454, 321, 643, 335, 568, 579, 3287, 267, 271, 6661, 343, 579, 263, 271, 25722, 6661, 271, 692, 275, 269, 2334, 1281, 711, 948, 269, 12315, 803, 519, 3312, 3830, 1510, 2921, 519, 5487, 2897, 17992, 269, 634, 835, 596, 723, 568, 1310, 596, 3144, 519, 5487, 2897, 26306, 780, 276, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 6546, 1281, 711, 948, 269, 12315, 803, 519, 3312, 3830, 1510, 2921, 519, 5487, 2897, 17992, 269, 634, 835, 596, 723, 568, 1310, 596, 3144, 519, 5487, 2897, 26306, 563, 302, 907, 7717, 787, 692, 763, 3312, 3830, 568, 692, 308, 16282, 284, 7780, 11196, 8882, 2999, 1535, 2999, 1341, 1102, 2073, 512, 285, 271, 994, 340, 3287, 267, 271, 6661, 343, 579, 263, 271, 25722, 6661, 271, 692, 8196, 519, 585, 340, 1512, 2981, 543, 3288, 2897, 2981, 547, 4194, 713, 623, 14701, 780, 14188, 267, 634, 1657, 835, 594, 723, 568, 1310, 594, 3144, 519, 5487, 2897, 26306, 780, 277, 269, 4399, 24837, 346, 299, 4153, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 1535, 317, 273, 348, 1422, 2431, 315, 348, 815, 1422, 24837, 346, 299, 348, 1422, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 512, 348, 1422, 2431, 315, 10592, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 815, 521, 308, 3287, 29679, 264, 910, 579, 3287, 267, 271, 264, 815, 521, 308, 3287, 29679, 9984, 343, 6911, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 910, 521, 308, 3287, 29679, 264, 815, 1535, 6911, 259, 308, 3287, 29679, 264, 815, 32363, 3867, 343, 25490, 346, 338, 3686, 266, 6826, 13064, 343, 25490, 346, 338, 3686, 910, 1422, 2765, 12757, 2410, 338, 10592, 3086, 4194, 585, 1269, 288, 32390, 259, 609, 519, 2175, 2016, 780, 278, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 7445, 24837, 346, 299, 4153, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 1535, 317, 273, 348, 1422, 2431, 315, 348, 815, 1422, 24837, 346, 299, 348, 1422, 3847, 28381, 1422, 2765, 3189, 14783, 317, 273, 579, 7346, 14783, 512, 348, 1422, 2431, 315, 10592, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 815, 521, 308, 3287, 29679, 264, 910, 579, 3287, 267, 271, 264, 815, 521, 308, 3287, 29679, 9984, 343, 6911, 7445, 2765, 18097, 317, 273, 772, 3287, 29679, 20972, 11459, 317, 273, 348, 910, 521, 308, 3287, 29679, 264, 815, 1535, 6911, 259, 308, 3287, 29679, 264, 815, 32363, 3867, 343, 25490, 346, 338, 3686, 266, 6826, 13064, 343, 25490, 346, 338, 3686, 910, 1422, 2765, 12757, 2410, 338, 10592, 3086, 4194, 585, 1269, 288, 32390, 259, 609, 519, 2175, 2016, 780, 3086, 594, 723, 4194, 589, 15871, 289, 454, 259, 288, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 10592, 259, 308, 3287, 29679, 264, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 299, 25490, 346, 338, 3686, 268, 324, 13064, 299, 25490, 346, 338, 3686, 348, 1496, 346, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 316, 910, 1422, 2765, 12757, 2410, 338, 21456, 8649, 594, 2953, 888, 10190, 875, 547, 798, 11201, 3288, 2897, 2981, 269, 634, 772, 3287, 29679, 264, 568, 1360, 1950, 2807, 780, 279, 269, 20323, 17397, 676, 2166, 342, 2735, 275, 454, 3086, 594, 723, 4194, 589, 15871, 289, 454, 259, 288, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 10592, 259, 308, 3287, 29679, 264, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 1496, 346, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 316, 910, 1422, 2765, 12757, 2410, 338, 21456, 8649, 594, 2953, 888, 10190, 875, 547, 798, 11201, 3288, 2897, 2981, 269, 634, 772, 3287, 29679, 264, 568, 1360, 1950, 907, 2483, 296, 1175, 7691, 602, 5310, 649, 991, 1776, 1448, 269, 1411, 3177, 579, 263, 271, 25722, 6661, 271, 269, 1772, 972, 9277, 547, 581, 1776, 835, 286, 5221, 596, 3112, 4194, 585, 589, 543, 645, 2943, 1317, 972, 568, 476, 272, 3830, 543, 1079, 26968, 985, 267, 952, 596, 1683, 835, 811, 2175, 1287, 649, 723, 476, 273, 4834, 543, 476, 273, 26968, 985, 543, 621, 1058, 4194, 780, 280, 269, 20323, 17397, 676, 634, 8110, 2739, 295, 871, 518, 454, 296, 1175, 7691, 602, 5310, 649, 991, 1776, 1448, 269, 1411, 3177, 579, 263, 271, 25722, 6661, 271, 269, 1772, 972, 9277, 547, 581, 1776, 835, 286, 5221, 596, 3112, 4194, 585, 589, 543, 645, 2943, 1317, 972, 568, 476, 272, 3830, 543, 1079, 26968, 985, 267, 952, 596, 1683, 835, 811, 2175, 1287, 649, 723, 476, 273, 4834, 543, 476, 273, 26968, 985, 543, 621, 1058, 4194, 563, 852, 952, 579, 263, 271, 25722, 6661, 271, 579, 27331, 25722, 264, 815, 271, 692, 259, 308, 3287, 29679, 264, 815, 1422, 2765, 346, 299, 2410, 338, 348, 1422, 2765, 346, 272, 2410, 324, 3867, 299, 25490, 346, 338, 3686, 268, 324, 13064, 299, 25490, 346, 338, 3686, 348, 1496, 346, 324, 3867, 343, 25490, 346, 338, 3686, 268, 324, 13064, 343, 25490, 346, 338, 3686, 348, 316, 910, 1422, 2765, 12757, 2410, 338, 4151, 0, 258, 28096, 692, 22430, 271, 5798, 30000, 646, 985, 585, 5988, 543, 4728, 269, 1284, 723, 547, 5173, 875, 1082, 646, 985, 666, 1118, 476, 22430, 271, 5798, 950, 835, 18911, 2285, 476, 273, 5798, 513, 1554, 585, 476, 6795, 2395, 780, 4910, 738, 692, 338, 815, 476, 1109, 2764, 269, 279, 1691, 692, 2971, 8827, 1384, 22430, 271, 815, 521, 265, 273, 265, 6795, 692, 14093, 338, 815, 476, 22430, 271, 692, 338, 815, 476, 10204, 4962, 280, 9881, 486, 476, 2764, 269, 279, 1724, 4649, 280, 692, 15612, 730, 676, 938, 2241, 3830, 9498, 780, 32306, 721, 513, 6085, 540, 1383, 543, 922, 3070, 630, 328, 4318, 269, 952, 621, 568, 1869, 10169, 15458, 1862, 17107, 6826, 519, 1101, 547, 6085, 2439, 2971, 1677, 4194, 713, 11913, 2979, 1966, 616, 2877, 891, 1702, 689, 6128, 1384, 2710, 596, 723, 513, 5276, 3830, 610, 1062, 540, 4834, 543, 3168, 585, 922, 3070, 286, 2107, 798, 596, 723, 13392, 3830, 2496, 1012, 8921, 2147, 1806, 1384, 272, 269, 19529, 839, 454, 273, 17944, 2285, 476, 273, 5798, 538, 476, 273, 2395, 269, 1215, 1082, 5798, 666, 2285, 476, 279, 17944, 585, 476, 279, 2395, 888, 273, 269, 15272, 3950, 454, 312, 1926, 3950, 689, 670, 6425, 330, 5451, 667, 14243, 3630, 9366, 547, 645, 13089, 5451, 15662, 510, 339, 807, 341, 333, 3821, 799, 9307, 23545, 566, 13631, 9645, 2923, 3007, 543, 1857, 11685, 267, 814, 1942, 476, 277, 269, 274, 20789, 829, 21027, 543, 8907, 476, 1724, 21347, 829, 21027, 269, 12433, 2450, 540, 24307, 547, 7552, 1895, 540, 476, 2764, 563, 274, 269, 5565, 10945, 454, 10521, 10945, 4171, 5011, 616, 538, 519, 5223, 476, 276, 281, 273, 723, 2040, 540, 922, 829, 12281, 476, 10463, 4699, 269, 12433, 519, 2040, 540, 1858, 713, 1079, 10945, 563, 275, 269, 13067, 6804, 1546, 345, 3187, 454, 295, 558, 6804, 1546, 385, 378, 14150, 814, 476, 280, 11113, 538, 29075, 281, 12433, 519, 1871, 540, 922, 7221, 543, 5173, 875, 1082, 14569, 540, 9174, 585, 476, 271, 269, 4649, 661, 7838, 666, 646, 4444, 563, 276, 269, 28688, 454, 299, 525, 12340, 11751, 476, 279, 1482, 669, 4377, 919, 585, 476, 1626, 20195, 269, 1215, 1082, 20789, 338, 786, 646, 2628, 585, 476, 1839, 669, 4377, 919, 888, 277, 269, 20676, 626, 454, 288, 7814, 626, 10596, 476, 6434, 5998, 538, 476, 275, 3108, 269, 1215, 1082, 12919, 646, 1780, 538, 476, 279, 3108, 888, 278, 269, 25513, 454, 1692, 1082, 2053, 596, 666, 10208, 519, 1297, 476, 275, 689, 519, 1297, 476, 5038, 888, 279, 269, 7956, 9248, 454, 5475, 2638, 540, 9499, 1336, 602, 1169, 476, 1015, 6253, 1837, 1058, 581, 32585, 269, 8625, 476, 6812, 9499, 941, 32585, 269, 1215, 1082, 9499, 941, 538, 6006, 1354, 32585, 543, 875, 1082, 1310, 32585, 888, 280, 269, 19949, 454, 10521, 7314, 9575, 1079, 8983, 538, 1079, 2395, 269, 1215, 1082, 544, 11817, 786, 6952, 476, 277, 7314, 585, 476, 277, 2395, 888, 1015, 269, 19656, 543, 11078, 454, 2691, 594, 729, 476, 279, 267, 1250, 11078, 729, 476, 275, 267, 1631, 594, 993, 476, 1240, 267, 875, 2025, 568, 1250, 11078, 888, 1556, 269, 14520, 751, 476, 273, 454, 2252, 476, 274, 339, 268, 278, 284, 276, 339, 267, 1287, 476, 277, 339, 23751, 1321, 269, 645, 4459, 2597, 454, 763, 15839, 22179, 476, 273, 4846, 543, 513, 3368, 20398, 269, 1215, 1454, 1281, 835, 15839, 9260, 888, 1724, 269, 8422, 7314, 454, 2252, 1614, 7314, 3548, 1614, 8983, 538, 1614, 3764, 267, 1310, 799, 942, 476, 18605, 7314, 3548, 476, 18605, 8983, 888, 1691, 269, 6555, 529, 2225, 454, 3674, 519, 1297, 476, 278, 8618, 5400, 273, 4010, 16883, 676, 476, 280, 286, 630, 1492, 1267, 568, 519, 8870, 543, 5924, 14230, 568, 4642, 994, 1428, 269, 3933, 4486, 454, 12507, 4486, 8593, 538, 476, 2537, 7397, 2620, 1134, 269, 5272, 1554, 621, 6172, 2125, 476, 274, 7397, 267, 693, 3781, 621, 12628, 1394, 676, 476, 273, 544, 269, 2201, 1018, 1554, 621, 4991, 856, 689, 519, 1134, 888, 1626, 269, 5709, 3512, 454, 306, 877, 1826, 540, 3053, 3512, 7472, 513, 1297, 540, 9755, 538, 513, 3099, 540, 15004, 609, 1114, 1543, 540, 3742, 6219, 269, 13268, 476, 272, 281, 2882, 476, 2568, 21447, 540, 476, 7785, 8406, 540, 3742, 6219, 829, 3640, 1942, 476, 280, 20195, 269, 13268, 476, 273, 281, 2882, 476, 5611, 21447, 540, 476, 4335, 8406, 540, 3742, 1016, 454, 1704, 269, 898, 568, 14328, 888, 23917, 540, 1079, 540, 519, 7285, 538, 513, 6906, 616, 281, 14668, 284, 8099, 4113, 267, 16061, 284, 2412, 4113, 269, 1772, 621, 513, 1318, 6906, 286, 0, 1012, 17918, 17438, 281, 7089, 540, 20518, 1903, 1535, 17438, 829, 17392, 692, 29479, 17438, 543, 7089, 540, 20518, 1903, 1535, 17438, 829, 17392, 634, 18763, 17438, 8865, 585, 17918, 17438, 3767, 267, 1577, 779, 979, 1394, 547, 519, 1383, 689, 519, 3105, 2985, 267, 799, 649, 666, 556, 874, 19189, 607, 713, 281, 2252, 513, 11777, 568, 1166, 5792, 2947, 2053, 267, 1018, 568, 519, 17438, 602, 621, 786, 2244, 593, 1261, 6758, 1152, 2899, 286, 6546, 3947, 721, 513, 2560, 3367, 2859, 692, 1012, 968, 4263, 2274, 770, 892, 10819, 538, 17918, 17438, 692, 2108, 4263, 2274, 770, 892, 10819, 538, 17918, 17438, 19850, 267, 3314, 875, 782, 519, 11525, 3809, 723, 547, 581, 8454, 1447, 982, 835, 286, 594, 1611, 267, 1310, 782, 267, 621, 779, 21230 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 262, 4939, 1775, 585, 1775, 538, 2039, 263, 736, 4297, 2020, 560, 21606, 18134, 16597, 18134, 269, 5882, 269, 14683, 2775, 26174, 263, 9471, 284, 271, 264, 9239, 258, 7696, 2609, 856, 540, 1931, 454, 560, 269, 3667, 3488, 1607, 786, 2408, 1101, 5073, 258, 2561, 1742, 930, 1257, 547, 519, 813, 780, 3240, 5334, 14309, 272, 815, 588, 269, 24105, 4590, 258, 2561, 1742, 606, 8900, 18921, 547, 519, 813, 269, 1284, 3513, 946, 713, 2663, 780, 3240, 5334, 14309, 273, 815, 588, 269, 24105, 4590, 258, 2561, 1742, 1776, 8900, 18921, 780, 560, 269, 3667, 3488, 1607, 786, 2408, 2063, 5073, 258, 2561, 1742, 930, 811, 1257, 547, 519, 813, 780, 3240, 5334, 14309, 272, 269, 3667, 3488, 1607, 786, 2408, 2034, 5073, 258, 1234, 17541, 519, 1101, 8900, 18921, 609, 513, 1257, 5569, 780, 3240, 5334, 14309, 273, 269, 1467, 15220, 691, 18828, 20179, 20120, 333, 263, 736, 267, 476, 273, 4917, 258, 1234, 17541, 519, 2034, 8900, 18921, 609, 513, 5750, 563, 692, 2889, 28698, 318, 8663, 815, 588, 269, 2889, 28698, 263, 271, 994, 560, 9850, 26748, 815, 588, 269, 24105, 4590, 24577, 815, 588, 269, 1467, 15220, 691, 18828, 20179, 20120, 333, 263, 1015, 267, 476, 273, 11723, 1721, 1775, 538, 2039, 263, 1911, 2187, 825, 1948, 22352, 3356, 3046, 563, 825, 3356, 318, 8663, 269, 2889, 28698, 9217, 2020, 825, 1007, 318, 4900, 815, 5286, 20179, 20120, 333, 263, 1015, 267, 476, 273, 2020, 825, 1948, 22352, 4567, 1257, 563, 825, 4567, 26748, 269, 3667, 18692, 1038, 1412, 763, 5767, 4351, 1297, 568, 281, 4939, 338, 262, 4939, 1007, 318, 4900, 15631, 272, 267, 476, 272, 20285, 825, 1948, 2561, 754, 1239, 547, 519, 5750, 563, 825, 5750, 14491, 318, 4900, 28956, 318, 4900, 2020, 825, 1948, 23239, 754, 649, 2811, 3257, 930, 19106, 602, 3217, 942, 563, 825, 942, 4732, 2748, 263, 271, 269, 272, 2020, 560, 9850, 26748, 269, 3667, 3488, 291, 821, 256, 5073, 560, 269, 4252, 9398, 10797, 5814, 11885, 607, 5286, 454, 5814, 942, 692, 258, 5192, 930, 1239, 563, 11907, 815, 5286, 20179, 20120, 333, 263, 1015, 267, 476, 273, 2020, 258, 8058, 519, 1239, 607, 513, 5750, 563, 24577, 815, 588, 269, 1467, 15220, 691, 16597, 2020, 258, 27016, 476, 272, 2034, 267, 865, 519, 1689, 568, 20501, 563, 5503, 4732, 2748, 263, 272, 2020, 258, 3400, 321, 930, 811, 1239, 563, 11907, 273, 815, 5286, 20179, 20120, 333, 263, 1015, 267, 476, 273, 2020, 258, 2561, 754, 519, 1007, 1239, 547, 519, 4540, 5750, 563, 24577, 14491, 318, 4900, 16597, 273, 264, 0, 258, 596, 666, 2328, 547, 31901, 719, 585, 3181, 19982, 5301, 267, 552, 3052, 563, 258, 1820, 2891, 10472, 568, 513, 3181, 1872, 5048, 5602, 5814, 2979, 692, 3698, 3070, 18217, 2187, 825, 1948, 2328, 707, 3009, 538, 5124, 476, 274, 269, 277, 22562, 825, 1948, 1820, 2891, 10472, 568, 513, 3181, 1872, 5048, 5602, 8931, 825, 10822, 815, 11713, 8931, 825, 678, 815, 715, 454, 825, 1247, 678, 13843, 476, 272, 10778, 1038, 544, 815, 678, 4939, 476, 273, 454, 1038, 678, 815, 2979, 269, 28776, 263, 678, 1315, 476, 273, 12467, 13872, 1038, 10822, 6910, 9852, 994, 13872, 825, 3193, 14682, 777, 815, 476, 271, 454, 825, 10917, 14682, 777, 815, 476, 271, 454, 672, 3097, 825, 533, 815, 476, 271, 454, 825, 585, 536, 538, 10822, 10778, 1038, 952, 533, 2652, 476, 272, 543, 536, 2652, 476, 271, 10778, 2018, 10917, 14682, 777, 6834, 476, 272, 454, 1038, 952, 533, 2652, 476, 271, 543, 536, 2652, 476, 272, 10778, 2018, 952, 10917, 14682, 777, 3436, 3193, 14682, 777, 10778, 3546, 3193, 14682, 777, 815, 10917, 14682, 777, 454, 4449, 454, 2018, 10917, 14682, 777, 815, 476, 271, 28329, 1038, 952, 10917, 14682, 777, 13843, 476, 272, 543, 536, 2652, 476, 271, 543, 533, 2652, 476, 271, 10778, 2018, 10917, 14682, 777, 6834, 476, 272, 454, 27030, 1038, 1948, 1820, 9497, 321, 568, 2433, 2580, 536, 994, 13872, 1038, 533, 815, 536, 22562, 13872, 825, 1948, 1820, 18217, 267, 834, 9352, 1871, 568, 14307, 10822, 264, 3097, 825, 1948, 1820, 2891, 10946, 14682, 777, 568, 14307, 3193, 14682, 777, 264, 3097, 8931, 825, 2132, 3193, 14682, 777, 7531, 2745, 4433, 1828, 263, 1428, 4917, 2745, 4433, 1828, 263, 18891, 7906, 4917, 2745, 4433, 1828, 263, 28638, 10219, 272, 4917, 2745, 4433, 1828, 263, 18891, 276, 4792, 272, 4297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7640, 525, 1454, 547, 519, 834, 339, 718, 2389, 1446, 257, 2245, 912, 11990, 8361, 1765, 515, 3081, 547, 1010, 8575, 543, 14529, 912, 257, 7476, 513, 20645, 540, 24061, 25468, 563, 296, 1616, 547, 1376, 1318, 267, 899, 513, 646, 17907, 1126, 2676, 1492, 3781, 602, 594, 993, 4535, 30882, 9827, 11495, 547, 519, 4354, 1807, 538, 519, 2773, 568, 519, 8994, 6667, 799, 4386, 1063, 10564, 543, 12372, 267, 543, 519, 2963, 602, 1312, 2721, 593, 2757, 3864, 543, 12563, 3029, 912, 763, 3860, 20949, 538, 519, 2098, 21343, 11833, 454, 548, 2355, 689, 31674, 14833, 781, 17534, 547, 29838, 6181, 338, 262, 11263, 2676, 3697, 519, 3167, 3595, 689, 519, 12269, 454, 2507, 602, 1025, 4240, 519, 7934, 1063, 454, 29445, 4802, 781, 1883, 543, 1010, 2274, 344, 6577, 20220, 563, 1607, 834, 17763, 564, 781, 21649, 257, 519, 4354, 1807, 7125, 513, 834, 322, 3300, 4812, 1315, 1496, 1993, 316, 13889, 543, 11348, 1701, 3571, 3007, 6212, 267, 1985, 267, 593, 519, 2078, 1851, 3309, 7574, 3029, 267, 543, 646, 782, 26360, 547, 835, 3943, 5856, 781, 7920, 1353, 540, 3109, 2575, 912, 302, 5289, 267, 960, 5152, 267, 986, 326, 5503, 267, 21462, 15690, 1765, 454, 1492, 15292, 267, 9076, 4068, 267, 1135, 6390, 267, 543, 530, 5306, 345, 2336, 310, 5893, 547, 513, 27803, 454, 1492, 4332, 540, 513, 21462, 2676, 18478, 1656, 28584, 717, 728, 781, 454, 3891, 2074, 262, 973, 1388, 7475, 609, 3627, 8361, 781, 678, 826, 995, 6602, 602, 10168, 543, 922, 2360, 2291, 10876, 538, 3013, 281, 834, 262, 296, 3357, 547, 22255, 2135, 22971, 267, 1315, 855, 594, 1265, 909, 1934, 513, 645, 3558, 6807, 267, 1932, 10590, 1323, 14969, 5385, 540, 5784, 593, 10168, 543, 593, 930, 2123, 2042, 5205, 269, 1261, 2074, 568, 1500, 3592, 26525, 676, 1018, 646, 3705, 1206, 607, 14710, 1143, 267, 610, 693, 519, 1360, 2547, 607, 606, 14432, 840, 21232, 566, 609, 519, 2042, 540, 1373, 3109, 269, 3571, 3803, 6085, 267, 834, 262, 7069, 1004, 267, 1315, 1250, 1004, 1765, 1315, 789, 917, 711, 1018, 789, 798, 10086, 257, 15069, 30172, 2441, 781, 856, 322, 787, 1175, 1354, 1010, 2669, 269, 22682, 267, 789, 723, 711, 6956, 1261, 2074, 538, 519, 2631, 646, 5497, 267, 964, 3931, 267, 3592, 6157, 267, 602, 3627, 8361, 781, 1650, 581, 606, 31369, 2203, 540, 16608, 543, 2123, 8699, 563, 3891, 2074, 568, 519, 1641, 540, 513, 6825, 569, 552, 592, 690, 2065, 6648, 2914, 603, 514, 8584, 1790, 334, 655, 9497, 308, 27432, 19823, 835, 540, 513, 3126, 540, 1915, 25780, 1572, 519, 31222, 966, 793, 22863, 543, 11911, 547, 631, 3563, 10060, 802, 269, 22388, 532, 18573, 781, 17181, 540, 15023, 689, 519, 4998, 1533, 267, 10060, 802, 31234, 602, 519, 10564, 267, 538, 1880, 1261, 2074, 267, 568, 11613, 1898, 547, 1022, 1533, 912, 5522, 6737, 781, 9186, 786, 711, 536, 4314, 2676, 5228, 1010, 6243, 2676, 1492, 2022, 31444, 622, 540, 22255, 2135, 22971, 2507, 563, 1805, 10225, 8098, 3931, 569, 10530, 1261, 2074, 262, 18349, 540, 519, 2856, 602, 5159, 616, 11613, 9813, 730, 689, 2486, 781, 2418, 543, 8456, 912, 21202, 960, 540, 1148, 568, 513, 1079, 17574, 8265, 2676, 2254, 513, 4666, 1439, 2676, 3602, 606, 7376, 543, 513, 12048, 3122, 2743, 4799, 3891, 2074, 568, 26916, 585, 18468, 538, 6422, 543, 18497, 1148, 3029, 267, 585, 1010, 834, 339, 4048, 545, 10687, 545, 257, 2039, 267, 1010, 9644, 543, 11348, 267, 543, 1010, 3661, 602, 1106, 543, 1543, 616, 538, 29323, 762, 912, 10454, 1106, 543, 1543, 538, 513, 4605, 610, 513, 5152, 454, 29019, 11100, 899, 519, 24008, 538, 513, 16702, 628, 784, 4799, 3891, 2074, 267, 945, 2663, 16976, 646, 814, 4862, 2614, 540, 524, 2106, 6291, 543, 21817, 267, 30242, 547, 2328, 513, 6648, 602, 786, 723, 3532, 1514, 4539, 912, 10454, 2578, 27812, 540, 519, 661, 2006, 322, 11692, 1160, 17474, 454, 2026, 519, 4658, 781, 7313, 564, 2676, 296, 4927, 25264, 1125, 513, 6249, 602, 786, 4224, 519, 13780, 2336, 4517, 1169, 2481, 2740, 1133, 12677, 786, 917, 621, 30882, 291, 1503, 569, 605, 323, 3429, 1261, 2074, 593, 267, 519, 4354, 1807, 267, 7654, 16079, 532, 654, 269, 670, 269, 10748, 523, 267, 1309, 1903, 1864, 547, 834, 262, 8145, 1897, 1315, 513, 17174, 1884, 1335, 1315, 568, 519, 586, 534, 27365, 1673, 22259, 546, 1497, 540, 513, 5707, 1479, 9538, 1261, 2074, 267, 733, 3319, 6681, 540, 2417, 524, 2106, 6291, 267, 22316, 547, 973, 924, 834, 763, 7256, 6874, 31103, 543, 519, 1744, 1046, 2437, 513, 3440, 611, 10503, 519, 1259, 513, 4262, 14854, 267, 950, 15179, 539, 9800, 267, 666, 804, 1177, 543, 15237, 693, 519, 16356, 781, 7181, 2394, 646, 2306, 454, 257, 20130, 1259, 547, 5191, 2676, 2041, 3219, 519, 13481, 4158, 2676, 2041, 3219, 519, 7181, 6821, 454, 1993, 519, 16356, 4799, 22746, 15112, 11244, 1219, 4800, 19595, 693, 2547, 835, 812, 540, 19863, 324, 21025, 599, 781, 834, 2252, 1284, 18771, 12603, 2437, 543, 519, 946, 11788, 10579, 26235, 1500, 540, 621, 538, 1010, 4674, 547, 2182, 523, 3703, 8990, 693, 513, 1970, 1448, 538, 2622, 2782, 4083, 269, 634, 6648, 646, 973, 2572, 543, 519, 4704, 547, 21025, 599, 781, 834, 2252, 1284, 18771, 12603, 257, 616, 1261, 2074, 262, 1259, 540, 7682, 532, 1010, 3661, 602, 6965, 568, 4105, 547, 18495, 538, 782, 2053, 282, 1261, 2074, 7551, 1201, 2373, 519, 4354, 1807, 781, 25195, 269, 634, 4354, 1807, 32625, 602, 1261, 2074, 1185, 2760, 1354, 4847, 1866, 547, 2671, 538, 519, 5137, 540, 513, 6648, 267, 2760, 1354, 834, 3847, 519, 1591, 541, 7450, 1315, 540, 1010, 1148, 513, 21186, 1701, 1261, 2074, 267, 32047, 267, 538, 606, 3801, 547, 2491, 519, 1184, 543, 1587, 540, 5137, 267, 19776, 873, 547, 454, 257, 2507, 513, 627, 648, 4758, 4332, 454, 1729, 513, 533, 11069, 781, 5067, 267, 4354, 1807, 267, 593, 513, 2083, 20321, 844, 2830, 563, 263, 1103, 911, 341, 841, 513, 4807, 2982, 1100, 1129, 540, 16203, 4700, 4840, 3891, 1202, 1235, 602, 782, 1148, 568, 10416, 519, 1587, 540, 834, 2946, 17427, 4105, 2437, 519, 2283, 2225, 781, 3210, 547, 10462, 543, 8731, 618, 912, 257, 28646, 267, 9811, 267, 6148, 2676, 534, 7376, 781, 911, 341, 841, 568, 899, 454, 320, 4807, 781, 282, 543, 1200, 4816, 568, 899, 454, 320, 6648, 267, 513, 4605, 267, 513, 1623, 21620, 1765, 454, 534, 3390, 540, 519, 20527, 17427, 4105, 538, 17570, 543, 1973, 2676, 9799, 593, 513, 2909, 7999, 454, 22855, 543, 2220, 5417, 1194, 454, 517, 513, 986, 1111, 540, 1272, 543, 8032, 899, 513, 2243, 1665, 4799, 763, 8561, 538, 519, 6609, 593, 1928, 543, 513, 2067, 1184, 799, 1590, 2196, 519, 2407, 1576, 4440, 4016, 547, 519, 3747, 602, 519, 7376, 4487, 1898, 2930, 1983, 1354, 12394, 547, 1711, 269, 634, 8561, 593, 24648, 527, 22715, 543, 2695, 531, 528, 3413, 8787, 602, 5898, 666, 2097, 689, 519, 1666, 652, 3100, 532, 1919, 269, 1656, 5310, 519, 5169, 1275, 540, 782, 3020, 25704, 2306, 873, 834, 30807, 1841, 257, 538, 519, 2631, 602, 789, 9192, 4540, 5389, 883, 513, 1007, 1843, 563, 9209, 1235, 945, 798, 711, 22036, 7357, 519, 3860, 610, 1372, 531, 616, 10792, 569, 16091, 676, 1261, 2074, 269, 8409, 5159, 945, 18992, 547, 834, 262, 13232, 342, 1161, 262, 257, 3132, 834, 262, 629, 25344, 9538, 257, 634, 3515, 834, 262, 1492, 1007, 23899, 3141, 3766, 16104, 2879, 520, 3481, 1315, 689, 524, 2784, 956, 593, 519, 521, 569, 262, 257, 3100, 547, 5641, 580, 622, 1762, 15023, 945, 2328, 538, 1863, 14235, 269, 2060, 693, 2547, 930, 1582, 1606, 520, 790, 267, 646, 31782, 856, 693, 15023, 945, 1224, 547, 15690, 9311, 2939, 912, 257, 29264, 519, 705, 25344, 454, 1993, 519, 875, 331, 24376, 331, 2914, 603, 7308, 10687, 2692, 844, 2931, 3248, 1492, 2370, 3798, 23135, 808, 3949, 543, 10374, 325, 749, 3298, 2507, 4799, 2690, 865, 2110, 513, 8574, 267, 24729, 5459, 814, 16041, 621, 609, 782, 16272, 267, 930, 9425, 6654, 543, 3978, 267, 930, 3592, 6157, 11469, 2987, 19295, 2131, 269, 19395, 717, 1231, 6199, 267, 16079, 1227, 2404, 609, 713, 1895, 267, 949, 581, 519, 1034, 1134, 8153, 19468, 10564, 267, 543, 267, 11992, 538, 31222, 20155, 267, 19468, 15023, 616, 26916, 585, 5169, 1275, 267, 7115, 267, 543, 1034, 11932, 267, 585, 741, 1219, 4800, 540, 6671, 2093, 827, 1148, 269, 18999, 8725, 24806, 568, 4583, 585, 1010, 6901, 609, 15690, 9311, 2939, 585, 1857, 13220, 2429, 1010, 4876, 540, 936, 17288, 1296, 269, 24729, 5459, 1185, 519, 5207, 2543, 585, 24806, 543, 585, 1010, 960, 269, 7053, 267, 1261, 2074, 1085, 9529, 4583, 15023, 945, 15646, 8784, 741, 2038, 960, 2676, 257, 15367, 10205, 519, 2370, 454, 1506, 8455, 536, 770, 1841, 540, 741, 6107, 454, 307, 565, 5459, 5128, 14460, 1010, 2038, 2511, 1360, 22393, 267, 593, 519, 28409, 540, 19395, 570, 622, 543, 896, 519, 3310, 540, 19134, 324, 595, 8735, 267, 570, 269, 590, 269, 18379, 582, 267, 26442, 571, 623, 895, 267, 543, 6276, 20717, 576, 269, 1656, 1256, 952, 649, 14201, 1405, 5143, 865, 538, 519, 6679, 3515, 540, 834, 2419, 328, 2437, 649, 1131, 1174, 602, 1261, 2074, 7184, 14560, 782, 16048, 1148, 543, 1131, 711, 4323, 1018, 646, 2808, 4570, 17634, 610, 5647, 269, 2991, 782, 267, 646, 814, 29846, 4563, 25816, 613, 12251, 773, 267, 1085, 987, 5944, 22309, 676, 519, 3204, 757, 267, 4352, 513, 16637, 550, 1995, 585, 519, 4354, 1807, 563, 10376, 540, 519, 5159, 538, 31222, 20155, 13497, 24151, 519, 3741, 5189, 538, 834, 2704, 6495, 257, 543, 973, 777, 527, 4327, 538, 834, 29604, 1701, 21894, 859, 2812, 789, 2697, 267, 1142, 568, 21739, 23904, 269, 4256, 1568, 267, 585, 519, 1034, 851, 267, 616, 5499, 267, 3235, 937, 545, 267, 543, 1419, 1965, 582, 20143, 269, 634, 5159, 17589, 741, 2326, 543, 3029, 538, 851, 689, 519, 7525, 1604, 267, 855, 789, 849, 11760, 513, 2647, 4763, 540, 7506, 593, 741, 960, 269, 1452, 5159, 267, 4061, 267, 899, 24729, 5459, 5128, 267, 2813, 3312, 1148, 3029, 547, 2263, 543, 9446, 519, 3109, 1995, 538, 1312, 922, 1880, 543, 922, 8471, 4644, 269, 1306, 26637, 589, 269, 8845, 267, 12789, 1421, 814, 5063, 11130, 267, 24729, 5459, 267, 25453, 11875, 2581, 267, 6276, 25930, 7773, 267, 717, 342, 754, 565, 2106, 15588, 338, 267, 543, 930, 1866, 834, 10964, 784, 711, 1175, 547, 513, 2027, 6803, 2245, 855, 547, 519, 5043, 958, 1977, 9740, 538, 519, 3332, 540, 519, 1459, 942, 4799, 1607, 3296, 3568, 476, 275, 267, 280, 2537, 1913, 454, 26140, 269, 476, 1704, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 309, 2678, 753, 4658, 547, 5457, 901, 27851, 4303, 17188, 24744, 547, 1346, 945, 1705, 741, 10279, 607, 13348, 1824, 269, 898, 568, 938, 5837, 10279, 547, 1118, 873, 1745, 15874, 593, 27851, 4303, 269, 589, 1507, 3364, 547, 2307, 538, 5385, 585, 9058, 27089, 543, 22838, 269, 3509, 1296, 938, 13780, 814, 28165, 27851, 543, 1305, 11735, 513, 2027, 2483, 28205, 10617, 616, 1572, 18884, 267, 547, 7247, 649, 1058, 1796, 909, 543, 2161, 968, 628, 1678, 596, 685, 685, 585, 7863, 938, 2197, 267, 15603, 721, 917, 602, 649, 2461, 2922, 267, 543, 4758, 721, 5191, 563, 9213, 267, 938, 1762, 2367, 543, 2021, 616, 13538, 945, 4196, 693, 741, 1378, 1981, 543, 621, 779, 1419, 741, 24279, 602, 1058, 581, 28165, 267, 1317, 2483, 3963, 616, 27851, 711, 10128, 1394, 883, 2486, 609, 1390, 1967, 286, 5620, 596, 2479, 9289, 1018, 4523, 547, 27851, 2899, 789, 2132, 1394, 689, 519, 2112, 610, 689, 7674, 513, 4663, 540, 10279, 286, 1215, 814, 741, 1920, 15068, 1510, 873, 1247, 789, 941, 8854, 543, 1018, 729, 741, 1995, 2483, 3963, 594, 2561, 3285, 622, 1977, 781, 27851, 454, 4002, 5437, 476, 1556, 628, 267, 519, 2136, 2276, 540, 3013, 22842, 27851, 4303, 1169, 1032, 269, 27851, 4303, 568, 4371, 593, 519, 16683, 540, 519, 1439, 540, 2622, 2782, 594, 547, 8956, 519, 2475, 18884, 543, 9601, 540, 782, 10617, 269, 634, 18884, 616, 519, 1004, 945, 723, 1981, 539, 741, 2729, 21108, 2483, 763, 11957, 540, 27254, 15050, 454, 2108, 4263, 1169, 3444, 30030, 593, 519, 2619, 602, 5012, 547, 519, 2104, 267, 2245, 814, 5116, 476, 1015, 267, 1822 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1369, 519, 14316, 267, 834, 7312, 2178, 26430, 1131, 581, 3810, 12595, 538, 1250, 22657, 3010, 301, 344, 7974, 535, 27547, 267, 1200, 4064, 7522, 539, 607, 1352, 6743, 909, 693, 18279, 16399, 269, 2701, 5433, 13943, 609, 1010, 1913, 267, 855, 7948, 1405, 3833, 1174, 1946, 780, 297, 629, 926, 12261, 18279, 16399, 781, 20790, 547, 519, 27142, 267, 10213, 873, 602, 1346, 8348, 1223, 2951, 2066, 519, 5318, 5836, 547, 960, 585, 519, 17417, 267, 15980, 13284, 1127, 3564, 9345, 269, 2755, 930, 6829, 10761, 267, 1866, 7283, 26617, 267, 2523, 631, 342, 18553, 543, 27526, 7974, 269, 6736, 1373, 19230, 1996, 15819, 519, 7326, 540, 519, 22242, 267, 519, 5918, 334, 4956, 547, 5639, 741, 4145, 827, 22205, 971, 27290, 1689, 883, 741, 2146, 780, 2026, 3781, 8593, 2390, 918, 2727, 320, 267, 12699, 5717, 1671, 4240, 1063, 519, 27142, 3823, 519, 23071, 781, 11556, 269, 26744, 744, 706, 2998, 11542, 6109, 267, 18468, 519, 11460, 4843, 606, 4316, 585, 5763, 543, 13884, 269, 11531, 267, 631, 342, 18553, 6612, 2299, 11130, 1996, 11488, 1022, 5636, 4526, 18246, 282, 4250, 532, 14226, 543, 9668, 689, 6068, 3283, 780, 257, 3719, 1589, 827, 938, 1453, 10590, 524, 3072, 9632, 5136, 14515, 269, 834, 5445, 786, 723, 1569, 547, 2069, 267, 2029, 267, 543, 1702, 796, 515, 731, 540, 1934, 256, 1772, 602, 711, 4502, 27531, 513, 1906, 585, 12482, 8601, 1010, 4661, 3100, 532, 15626, 7620, 267, 631, 342, 18553, 1293, 1229, 267, 834, 1432, 1434, 568, 1702, 952, 6591, 998, 13587, 527, 543, 28877, 2509, 8284, 3425, 286, 1284, 3112, 15093, 13919, 585, 1570, 2065, 12374, 3010, 18600, 1944, 519, 3178, 540, 24895, 10838, 2933, 267, 519, 14643, 8815, 547, 2285, 3025, 942, 547, 2015, 1018, 1576, 540, 2962, 1655, 6039, 519, 4690, 540, 519, 3003, 8498, 269, 3683, 519, 1739, 2395, 267, 26866, 619, 4904, 519, 2011, 607, 1142, 1920, 12066, 1194, 609, 1818, 513, 3375, 269, 16828, 267, 1896, 27142, 9896, 11731, 3858, 532, 547, 13743, 31023, 20829, 18279, 16399, 781, 6928, 267, 15691, 547, 5150, 1732, 2729, 585, 2933, 543, 2104, 5481, 780, 12507, 2195, 5293, 2394, 3377, 6603, 918, 2727, 320, 602, 1346, 945, 24389, 593, 519, 3460, 2760, 8120, 269, 5502, 267, 32422, 6933, 730, 10503, 27337, 881, 2175, 28815, 676, 1346, 3196, 2685, 16487, 2066, 12084, 1765, 5443, 4421, 1055, 899, 13184, 267, 2021, 986, 6244, 543, 29041, 267, 543, 1453, 14324, 2476, 689, 3237, 269, 9710, 337, 1881, 267, 519, 6967, 27142, 7691, 1932, 3735, 519, 3020, 2470, 540, 519, 3690, 520, 23007, 32013, 11780, 780, 1103, 519, 21987, 267, 2620, 28194, 10145, 9643, 918, 2727, 320, 267, 695, 30568, 519, 26454, 4371, 15210, 676, 922, 7264, 269, 8616, 9624, 21817, 267, 4126, 7153, 269, 16645, 1137, 4478, 918, 2727, 320, 4862, 8941, 540, 519, 13249, 2621, 602, 1098, 18944, 543, 678, 718, 1221, 1927, 267, 8108, 6793, 7554, 982, 2479, 1354, 269, 8625, 267, 789, 12247, 539, 547, 2149, 835, 1776, 689, 2147, 6937, 267, 7555, 759, 5193, 1996, 16080, 11107, 5275, 547, 7443, 689, 1480, 7092, 780, 7437, 13357, 3357, 9322, 267, 2208, 267, 543, 4656, 269, 27919, 16036, 539, 607, 27142, 16545, 519, 1928, 4810, 676, 9674, 3885, 267, 27513, 2590, 3152, 17604, 10838, 2950, 269, 19078, 2055, 7282, 519, 2126, 540, 21046, 2968, 14063, 11407, 267, 20872, 9997, 5498, 31186, 20241, 540, 2757, 2853, 269, 1656, 6368, 267, 519, 6433, 13714, 730, 5499, 3435, 267, 3056, 547, 4824, 3354, 3800, 543, 23372, 12485, 950, 7231, 609, 4914, 8436, 780, 7212, 10077, 1042, 11014, 267, 918, 2727, 320, 4121, 3407, 4245, 689, 922, 5618, 7237, 609, 519, 4158, 2427, 540, 3356, 269, 1635, 5807, 8296, 267, 8699, 267, 543, 4199, 6888, 267, 519, 8498, 1336, 24176, 543, 4222, 1256, 8015, 7096, 2295, 5995, 1765, 1652, 976, 1175, 607, 4143, 2221, 607, 789, 941, 1287, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1865, 519, 1764, 540, 519, 3690, 520, 23007, 32013, 11780, 593, 3979, 7239, 543, 4529, 1282, 519, 31303, 998, 519, 13524, 5553, 888, 763, 3690, 520, 23007, 32013, 11780, 1185, 513, 14042, 1764, 593, 3979, 7239, 543, 4529, 1282, 519, 31303, 998, 519, 13524, 5553, 269, 898, 3361, 513, 1713, 5786, 538, 519, 2551, 540, 4000, 267, 7700, 547, 513, 2530, 540, 1082, 2111, 1532, 617, 1221, 2367, 543, 2021, 945, 941, 3144, 2476, 607, 10437, 269, 634, 2530, 540, 1480, 3854, 1102, 21719, 513, 1713, 9514, 593, 519, 8739, 20300, 1646, 540, 4000, 269, 8528, 763, 3690, 520, 23007, 32013, 11780, 849, 2813, 513, 1007, 2528, 540, 5208, 267, 2112, 267, 543, 17760, 29713, 538, 4000, 269, 6969, 519, 12625, 540, 17417, 267, 972, 729, 8474, 538, 4000, 855, 621, 729, 3335, 513, 1106, 540, 10751, 585, 513, 6760, 610, 513, 7963, 269, 1717, 267, 519, 10553, 4123, 2813, 513, 1007, 543, 22266, 1106, 540, 8474, 267, 1141, 1004, 941, 20665, 1759, 9003, 593, 741, 5198, 267, 22874, 267, 543, 2960, 2681, 269, 8528, 11101, 267, 519, 10553, 4123, 3361, 1713, 2686, 9552, 267, 607, 621, 9232, 692, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 7731, 7010, 7869, 281, 589, 18043, 13979, 547, 18601, 19974, 25667, 1369, 19198, 543, 17716, 692, 7072, 1384, 21609, 3125, 8377, 814, 7153, 607, 513, 1713, 1857, 1072, 6161, 5001, 267, 7133, 6634, 540, 1453, 543, 10708, 630, 302, 326, 6577, 1696, 620, 1421, 476, 1001, 275, 1040, 769, 5466, 713, 1950, 3390, 267, 3782, 4648, 1590, 2015, 1585, 2188, 7700, 547, 922, 1646, 543, 5826, 267, 1519, 4719, 32739, 267, 6197, 5079, 267, 14227, 4567, 267, 543, 2825, 7506, 269, 7324, 891, 2188, 267, 1920, 1949, 3069, 3091, 513, 3407, 5943, 585, 12497, 1944, 6689, 8377, 607, 513, 17326, 7645, 1966, 8506, 513, 11455, 1935, 269, 901, 2376, 786, 2263, 519, 4909, 3741, 540, 1920, 1949, 3797, 543, 1865, 741, 6286, 585, 7303, 543, 8156, 6689, 8377, 780, 8139, 7731, 7010, 7869, 1384, 23991, 1949, 3069, 29102, 602, 2043, 2291, 1369, 6946, 5121, 540, 3347, 6353, 676, 22524, 11163, 543, 8994, 3310, 630, 14737, 1276, 514, 267, 476, 3192, 275, 1040, 4340, 547, 713, 5133, 267, 3885, 1599, 607, 6422, 1949, 1141, 2242, 538, 835, 2460, 666, 29360, 7222, 10593, 2429, 519, 3003, 1062, 269, 9182, 267, 950, 2324, 609, 3885, 4299, 676, 6689, 8377, 267, 9439, 12561, 513, 1920, 1949, 1935, 2832, 547, 2697, 3270, 540, 5872, 602, 949, 3565, 547, 32277, 28922, 5615, 543, 3895, 8902, 8925, 780, 7659, 16610, 538, 7731, 7010, 10657, 1384, 272, 269, 21940, 2456, 912, 289, 895, 2456, 3277, 547, 519, 7182, 543, 3652, 12044, 4205, 1063, 1920, 2818, 269, 1358, 3313, 945, 568, 3769, 538, 519, 1062, 267, 875, 1454, 3929, 3845, 6818, 1063, 2043, 267, 543, 1018, 5615, 616, 2808, 11807, 269, 769, 3885, 7231, 609, 6689, 8377, 267, 14461, 6302, 1522, 2061, 1930, 2792, 827, 2597, 4145, 267, 1247, 15449, 762, 6302, 1223, 1267, 538, 679, 6996, 327, 618, 543, 7411, 23243, 1367, 2115, 689, 7104, 3283, 780, 273, 269, 28762, 8944, 912, 295, 1512, 1105, 673, 3889, 5581, 5107, 543, 9021, 1369, 3885, 267, 4180, 2312, 5718, 543, 5583, 269, 1879, 25327, 1831, 22314, 267, 10539, 543, 14784, 949, 1671, 826, 267, 1818, 621, 2352, 585, 3885, 547, 2232, 2591, 3927, 269, 1280, 3236, 267, 3237, 10010, 609, 741, 1378, 2597, 2152, 1522, 15995, 6510, 6392, 547, 741, 1453, 267, 3056, 547, 4057, 8192, 6208, 543, 25161, 19824, 780, 274, 269, 7756, 2747, 912, 17843, 2747, 4016, 547, 519, 2702, 540, 1920, 2818, 547, 2226, 741, 13190, 1247, 6967, 4448, 547, 1866, 269, 4400, 2157, 540, 15285, 5512, 2043, 547, 8190, 2189, 9163, 543, 4978, 5103, 2604, 547, 14883, 547, 22686, 6788, 269, 8899, 15285, 267, 598, 14287, 267, 4679, 13438, 547, 679, 6996, 1117, 3347, 543, 4389, 1582, 30797, 269, 14268, 609, 1970, 15285, 949, 6560, 547, 2203, 2635, 4189, 6208, 543, 2168, 2534, 267, 7551, 2810, 741, 1126, 781, 1981, 540, 3384, 8377, 780, 275, 269, 10222, 9201, 912, 31590, 9201, 2099, 1614, 16512, 1016, 17882, 338, 1369, 3885, 602, 1106, 1472, 2127, 540, 8082, 610, 4655, 269, 1452, 24816, 666, 6521, 29858, 267, 2870, 16132, 543, 12042, 1359, 3356, 2509, 20547, 5817, 2152, 269, 1280, 1383, 267, 952, 513, 1126, 609, 8377, 3587, 519, 1445, 540, 21083, 6384, 5473, 1079, 1134, 10784, 1549, 539, 2943, 936, 23181, 633, 3237, 267, 3646, 547, 5000, 8902, 5615, 949, 581, 14944, 1441, 780, 3412, 4124, 585, 16473, 532, 543, 6164, 532, 19974, 25667, 1384, 28274, 1920, 1949, 3069, 547, 6689, 8377, 3340, 19353, 547, 9772, 513, 3376, 7828, 5827, 540, 13830, 13857, 3270, 540, 5872, 12018, 8192, 5079, 267, 3635, 3270, 267, 543, 2949, 1920, 8647, 269, 1635, 9301, 519, 25872, 540, 1367, 543, 7104, 2833, 267, 9439, 666, 7520, 811, 2500, 7459, 6322, 693, 5009, 4264, 1689, 269, 2368, 1761, 2994, 1331, 1384, 272, 269, 16237, 28517, 21940, 2456, 281, 11559, 3885, 547, 3715, 6109, 2943, 8465, 6302, 602, 1489, 1930, 2792, 827, 2597, 5829, 4145, 1510, 5807, 16620, 610, 17847, 563, 273, 269, 10163, 1681, 28762, 8944, 281, 6435, 3237, 29379, 3617, 5718, 5107, 676, 4259, 2312, 4808, 585, 803, 5306, 1307, 267, 5496, 942, 267, 543, 2168, 2534, 563, 274, 269, 674, 29183, 7756, 2747, 281, 8081, 3237, 538, 9781, 2635, 5615, 543, 8716, 4830, 3375, 6194, 1851, 741, 1453, 563, 275, 269, 19737, 10222, 9201, 281, 10576, 543, 7519, 796, 15276, 995, 21083, 6384, 602, 28511, 32277, 28922, 3270, 540, 2623, 780, 6962, 1384, 1103, 3932, 267, 1920, 1949, 3069, 2488, 513, 7347, 5943, 585, 1620, 543, 5466, 6689, 8377, 1369, 519, 2796, 540, 1950, 1920, 3347, 269, 1635, 11504, 547, 10465, 2152, 267, 19620, 21712, 3889, 267, 5807, 15285, 267, 543, 5883, 12730, 267, 9439, 666, 7668, 3885, 547, 4497, 538, 6209, 5188, 827, 2597, 5829, 4145, 543, 12840, 593, 7598, 9434, 3435, 269, 1306, 971, 267, 10128, 1920, 1949, 4485, 883, 4540, 6604, 543, 2126, 26336, 4564, 513, 9621, 28627, 585, 8396, 1154, 6689, 8377, 543, 5355, 2949, 1072, 4093, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 4013, 3896, 540, 519, 2136, 2276, 2229, 454, 763, 1547, 326, 990, 1797, 621, 779, 4013, 269, 8549, 2229, 7270, 1419, 1439, 538, 1547, 326, 990, 610, 1547, 332, 559, 269, 6969, 4687, 6213, 1344, 267, 1118, 2386, 596, 2461, 593, 513, 5313, 2229, 3135, 563, 763, 3135, 568, 5150, 269, 634, 4179, 2517, 5849, 602, 596, 616, 8220, 547, 519, 4013, 3896, 543, 602, 1022, 1344, 596, 1683, 568, 24290, 543, 10299, 18172, 563, 268, 10055, 5468, 454, 268, 11628, 9612, 454, 268, 4750, 5903, 454, 268, 12128, 5450, 629, 5204, 526, 337, 5136, 525, 454, 21609, 3125, 8377, 281, 6604, 568, 1732, 982, 10826, 454, 272, 4972, 540, 27435, 267, 15382, 14899, 11233, 808, 2459, 340, 267, 808, 2459, 340, 543, 22758, 267, 3127, 454, 273, 4972, 540, 27435, 267, 623, 339, 13225, 698, 342, 520, 4303, 531, 1744, 12609, 5403, 23958, 4659, 540, 6481, 7070, 267, 30323, 339, 752, 267, 670, 776, 3570, 267, 3127, 454, 274, 4972, 540, 31814, 808, 2459, 340, 2160, 267, 808, 2459, 340, 267, 808, 2459, 340, 543, 22758, 267, 3127, 454, 275, 4972, 540, 28267, 294, 22513, 663, 14162, 11233, 267, 5754, 1457, 21171, 267, 307, 601, 836, 3570, 267, 3127, 454, 276, 4972, 540, 13106, 25660, 923, 267, 918, 758, 559, 629, 523, 20144, 597, 889, 327, 2967, 2549, 3316, 328, 11233, 267, 29180, 267, 3127, 454, 277, 4972, 540, 17889, 267, 21926, 776, 320, 1744, 686, 932, 6387, 5441, 540, 2405, 3821, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23991, 7010, 10657, 257, 607, 851, 540, 834, 293, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 4804, 24894, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 303, 1156, 565, 568, 513, 2189, 4568, 1813, 547, 2348, 513, 22904, 2940, 8258, 543, 2404, 16982, 563, 1607, 3381, 15211, 596, 998, 4307, 565, 16982, 3889, 547, 948, 596, 1174, 875, 16982, 5222, 922, 23639, 563, 14300, 1331, 9236, 4307, 565, 547, 1035, 2045, 3679, 607, 1134, 607, 519, 1764, 540, 2655, 15856, 757, 593, 519, 8258, 899, 6491, 1886, 1156, 565, 563, 263, 19400, 593, 13334, 281, 26263, 565, 1763, 28585, 270, 10907, 7190, 269, 8437, 16671, 585, 16606, 8094, 299, 3855, 1299, 8249, 631, 1549, 539, 769, 901, 11473, 912, 283, 1700, 13772, 19881, 11473, 281, 3600, 7190, 543, 9978, 640, 540, 15850, 338, 454, 1700, 285, 6657, 13658, 630, 290, 4040, 17652, 994, 1607, 568, 11473, 476, 275, 538, 519, 15850, 1234, 13905, 11473, 10022, 269, 8437, 28313, 585, 519, 3003, 3126, 563, 2704, 4022, 6657, 13658, 543, 4258, 520, 16847, 28527, 4166, 2336, 32306, 513, 31400, 0, 21761, 4280, 2055, 454, 288, 476, 1001, 280, 9836, 2689, 543, 13849, 20400, 538, 634, 31102, 14751, 539, 519, 3106, 540, 18492, 11680, 563, 1607, 1353, 729, 5342, 676, 519, 20506, 23051, 3427, 540, 23427, 6925, 267, 2160, 5441, 5507, 267, 519, 25470, 9576, 5606, 3305, 776, 538, 519, 5177, 267, 519, 570, 1092, 4659, 540, 4317, 7070, 543, 9291, 543, 9253, 2088, 27176, 7690, 538, 3127, 267, 543, 519, 15057, 6481, 3194, 4659, 538, 15057, 269, 634, 1353, 729, 23032, 676, 519, 5177, 6481, 3194, 7027, 267, 5177, 4972, 585, 4139, 4886, 267, 543, 519, 4270, 2492, 11565, 563, 5649, 519, 1353, 689, 634, 31102, 28825, 763, 3703, 2817, 2657, 6796, 630, 301, 9391, 264, 849, 1439, 8503, 18492, 11680, 607, 513, 2922, 4781, 585, 5883, 5712, 563, 5649, 519, 2070, 689, 519, 23244, 28825, 24464, 11584, 531, 11680, 616, 711, 5227, 585, 2022, 12268, 636, 11702, 630, 299, 5255, 807, 1916, 306, 17532, 14025, 1974, 2472, 616, 519, 11359, 7887, 2707, 540, 5068, 593, 17822, 267, 1491, 936, 476, 4335, 1296, 547, 31693, 267, 3625, 694, 9955, 267, 6445, 26071, 267, 543, 1711, 2011, 5533, 952, 14616, 269, 1323, 1367, 1210, 21181, 543, 512, 2086, 976, 25361, 519, 6697, 540, 1079, 1295, 756, 4926, 609, 3653, 1421, 538, 741, 10715, 269, 3962, 25551, 18492, 1587, 1031, 267, 543, 922, 28277, 267, 814, 513, 1272, 268, 12860, 2825, 1764, 267, 689, 5478, 998, 547, 12871, 269, 634, 3119, 25499, 2694, 1331, 10412, 267, 1957, 267, 3574, 17870, 267, 543, 15229, 267, 7132, 1216, 543, 4492, 267, 799, 782, 723, 8101, 3327, 267, 4199, 946, 267, 543, 8733, 29066, 563, 24464, 11584, 531, 11680, 616, 1031, 782, 936, 519, 1158, 267, 538, 2462, 4872, 267, 1507, 14252, 267, 543, 10876, 538, 1063, 269, 1358, 616, 1031, 676, 2043, 540, 1082, 4529, 543, 10764, 563, 24464, 11584, 566, 666, 723, 513, 2942, 1198, 593, 6690, 685, 2069, 267, 2523, 952, 789, 723, 1100, 21181, 610, 11680, 269, 2859, 1382, 568, 2877, 563, 5649, 811, 593, 1281, 28689, 1118, 6690, 4413, 1153, 563, 763, 2825, 1764, 540, 513, 23431, 18492, 7484, 568, 1447, 982, 476, 272, 269, 276, 260, 540, 519, 1764, 540, 512, 2086, 976, 610, 28734, 269, 9093, 11584, 531, 11680, 946, 476, 1626, 2053, 1447, 3327, 1764, 982, 2582, 14025, 2472, 267, 9494, 476, 278, 4846, 2910, 273, 324, 936, 513, 1032, 269, 3962, 7484, 3340, 1152, 476, 1428, 10101, 540, 30736, 547, 1118, 267, 6508, 689, 21958, 5070, 267, 606, 10731, 1570, 609, 8766, 2825, 1764, 563, 9596, 811, 827, 519, 2825, 1764, 540, 18492, 2472, 563, 8133, 267, 2021, 540, 9099, 5132, 616, 1210, 11680, 2066, 519, 1158, 267, 1519, 538, 15057, 267, 9031, 267, 16888, 267, 543, 16850, 269, 6258, 811, 827, 9099, 5132, 543, 18492, 11680, 563, 10666, 2899, 513, 3923, 267, 1973, 543, 2281, 689, 513, 4807, 779, 19786, 4734, 1200, 1560, 998, 1200, 29199, 269, 11270, 338, 616, 3339, 543, 2635, 269, 1358, 2063, 689, 476, 273, 547, 476, 279, 2395, 1142, 3923, 563, 288, 18492, 7484, 568, 8032, 899, 513, 1507, 11350, 267, 621, 568, 17332, 883, 519, 29199, 547, 2445, 18492, 5714, 269, 589, 7484, 568, 2973, 267, 31978, 545, 267, 2922, 267, 543, 6899, 267, 543, 7472, 1100, 9329, 269, 1411, 786, 711, 1745, 707, 7484, 3330, 596, 267, 543, 596, 666, 4894, 621, 3362, 269, 3962, 7484, 568, 23431, 543, 16569, 476, 1015, 1296, 267, 865, 17990, 519, 1942, 540, 476, 273, 267, 4335, 25551, 18492, 21181, 610, 512, 2086, 976, 563, 10376, 7484, 6585, 476, 736, 268, 1839, 1984, 4106, 637, 540, 1973, 267, 827, 519, 1482, 607, 476, 274, 21181, 610, 512, 2086, 976, 267, 2614, 585, 5230, 5712, 563, 763, 29199, 568, 1500, 689, 13412, 4887, 267, 799, 666, 12701, 2647, 1930, 543, 849, 3180, 519, 7484, 17401, 269, 1411, 798, 711, 723, 547, 4894, 707, 7484, 547, 2712, 3729, 269, 6884, 950, 596, 1219, 1815, 622, 519, 7484, 8813, 856, 540, 1747, 267, 1287, 1175, 4894, 621, 543, 556, 12133, 563, 2252, 596, 6749, 519, 18492, 7484, 593, 513, 2973, 2627, 267, 621, 666, 581, 32092, 539, 609, 2973, 1216, 543, 556, 12133, 539, 269, 1403, 621, 8813, 5196, 513, 18660, 6989, 610, 4234, 9068, 267, 798, 711, 946, 621, 2394, 596, 723, 19345, 621, 609, 23017, 1216, 563, 10376, 4807, 568, 1114, 282, 930, 991, 547, 8900, 519, 7484, 1169, 476, 274, 3108, 269, 1684, 711, 4734, 621, 538, 3476, 982, 476, 1321, 3108, 269, 1411, 666, 946, 707, 7484, 16074, 1247, 596, 3207, 269, 2506, 27679, 519, 7484, 1354, 2469, 547, 3207, 543, 1287, 8900, 621, 1586, 950, 596, 12687, 563, 7230, 913, 621, 607, 4166, 607, 596, 3314, 269, 898, 568, 2653, 547, 7340, 707, 7484, 1317, 621, 568, 6899, 267, 543, 519, 18492, 1973, 1281, 711, 2097, 883, 3346, 609, 2011, 267, 865, 621, 1281, 711, 9329, 269, 1411, 666, 2322, 519, 7484, 538, 519, 1554, 1354, 596, 2503, 707, 1974, 786, 1376, 563, 9824, 1314, 267, 543, 798, 711, 5855, 269, 12532, 1472, 543, 2119, 1586, 269, 808, 18804, 610, 8904, 1522, 948, 269, 8347, 9361, 610, 2695, 520, 1154, 538, 513, 1114, 2990, 563, 5591, 267, 519, 29199, 13515, 693, 519, 14677, 1460, 267, 799, 1152, 10741, 1282, 27638, 563, 8794, 519, 7484, 666, 581, 30255, 2394, 596, 616, 1031, 547, 621, 269, 2991, 513, 1906, 5712, 267, 596, 786, 1451, 875, 1419, 596, 991, 547, 8900, 519, 7484, 269, 4107, 2043, 1491, 513, 1906, 5712, 1354, 1210, 513, 7484, 568, 6899, 543, 2653, 269, 13185, 547, 707, 2828, 945, 946, 873, 269, 898, 568, 899, 1565, 547, 1224, 267, 610, 14964, 513, 17919, 1107, 2352, 693, 1101, 267, 543, 1287, 10393, 621, 568, 2653, 2336, 5591, 269, 10552, 1152, 24462, 950, 621, 568, 538, 3346, 609, 2011, 269, 1703, 568, 1100, 2011, 3330, 596, 267, 865, 1100, 9329, 563, 8133, 269, 589, 18492, 7484, 666, 581, 1031, 689, 606, 1367, 779, 1101, 1974, 269, 1879, 519, 18492, 7484, 568, 1101, 17332, 883, 519, 29199, 267, 621, 949, 12701, 519, 1728, 5443, 267, 799, 568, 519, 2960, 1472, 519, 13675, 540, 519, 29199, 269, 2311, 23648, 267, 519, 1728, 5443, 3587, 811, 13412, 543, 21018, 269, 589, 21401, 1728, 5443, 1281, 711, 1611, 513, 8004, 568, 711, 513, 20424, 282, 513, 8004, 1152, 13515, 1373, 513, 20424, 950, 1352, 814, 1185, 4638, 26697, 563, 9596, 811, 827, 18492, 11680, 543, 20424, 640, 563, 5591, 269, 634, 29199, 568, 1500, 540, 4887, 602, 21018, 950, 596, 7696, 519, 7484, 543, 4422, 1394, 547, 519, 1482, 2450, 950, 596, 4894, 621, 563, 2467, 568, 1100, 2085, 3970, 269, 1411, 666, 946, 513, 18492, 7484, 689, 707, 1101, 1974, 563, 8133, 267, 596, 666, 946, 621, 693, 1753, 610, 693, 1153, 543, 1247, 10977, 267, 4881, 267, 15472, 267, 4730, 2121, 4252, 267, 15203, 267, 610, 1022, 824, 2534, 563, 288, 7484, 949, 13451, 952, 621, 568, 2407, 267, 952, 621, 814, 711, 1044, 2322, 538, 7157, 267, 952, 621, 568, 1932, 1507, 513, 2450, 267, 610, 952, 621, 814, 711, 8118, 909, 3330, 596, 269, 6875, 621, 856, 543, 2119, 1586, 269, 2107, 2119, 513, 1114, 2450, 610, 6216, 563, 5591, 267, 519, 18492, 7484, 786, 711, 2285, 596, 21420, 5563, 269, 634, 29199, 2306, 8825, 5728, 687, 602, 948, 2061, 5563, 269, 9521, 512, 2086, 976, 267, 18492, 11680, 798, 711, 10110, 707, 2067, 5728, 687, 267, 865, 519, 29199, 3788, 2635, 1282, 707, 5712, 269, 11408, 27125, 707, 18492, 7484, 609, 7899, 540, 2973, 1216, 267, 607, 12853, 593, 519, 7484, 666, 8886, 622, 519, 3330, 540, 707, 29199, 563, 5649, 811, 593, 519, 1888, 1934, 563, 24464, 11584, 531, 24768, 1744, 1442, 15540, 630, 332, 4811, 306, 264, 568, 513, 4686, 2680, 602, 4386, 1851, 14108, 908, 6690, 543, 2021, 269, 634, 2589, 616, 1164, 8611, 267, 2770, 6438, 2589, 267, 21994, 267, 799, 666, 1291, 547, 4049, 4576, 267, 635, 320, 267, 543, 1256, 2669, 269, 6168, 476, 274, 829, 476, 1911, 267, 1822, 512, 2086, 517, 3755, 11124, 689, 544, 4811, 306, 538, 519, 476, 2735, 271, 338, 950, 789, 1031, 3810, 10110, 550, 512, 2086, 976, 269, 4595, 1287, 267, 1152, 476, 276, 16143, 2665, 540, 544, 4811, 306, 723, 1044, 4080, 1851, 1082, 6634, 540, 7484, 3755, 269, 5565, 540, 891, 2021, 849, 1031, 513, 15333, 21082, 16509, 267, 543, 835, 1185, 606, 10081, 268, 14545, 2068, 269, 544, 4811, 306, 568, 1360, 4686, 267, 855, 581, 3222, 540, 519, 2589, 269, 1403, 789, 2049, 267, 5612, 4894, 519, 7484, 543, 3343, 2564, 5796, 563, 5649, 811, 3877, 593, 544, 4811, 306, 543, 18492, 11680, 563, 5591, 267, 621, 568, 585, 707, 2123, 946, 543, 1590, 711, 581, 3838, 609, 4896, 3116, 563, 24464, 11584, 531, 11680, 616, 1500, 689, 2564, 17263, 30736, 267, 3735, 343, 267, 12285, 267, 610, 5068, 1714, 770, 9593, 269, 4107, 11680, 723, 13170, 689, 3084, 9431, 8128, 971, 607, 519, 2475, 8549, 10684, 10837, 269, 10866, 30736, 11680, 2270, 1100, 21187, 267, 13526, 2541, 267, 610, 6464, 543, 616, 3834, 334, 22433, 1120, 21329, 267, 865, 972, 616, 1100, 2427, 2360, 269, 589, 1906, 1004, 616, 13027, 547, 12285, 610, 3735, 343, 269, 1403, 596, 1745, 1928, 267, 8781, 267, 16698, 267, 538, 23807, 480, 2459, 566, 538, 519, 19058, 1858, 267, 610, 9636, 1282, 30614, 267, 4894, 519, 18492, 7484, 543, 3643, 513, 16758, 563, 763, 9475, 948, 519, 7484, 1118, 513, 1434, 13021, 547, 2061, 682, 1136, 269, 2311, 519, 1439, 540, 707, 1974, 2973, 519, 9475, 609, 513, 12308, 610, 606, 2025, 28750, 269, 1684, 711, 946, 513, 8930, 610, 13549, 607, 789, 949, 3441, 519, 7484, 269, 1403, 519, 7484, 1281, 711, 723, 9475, 267, 7903, 519, 3490, 540, 519, 7484, 267, 547, 5305, 519, 2048, 572, 531, 17483, 5278, 12478, 540, 10464, 11680, 616, 711, 1500, 689, 2564, 17263, 30736, 855, 689, 4057, 7779, 5068, 1714, 770, 9593, 269, 1358, 949, 581, 13888, 547, 16784, 543, 7696, 3362, 610, 1932, 2571, 543, 13451, 269, 634, 1570, 949, 711, 2063, 4557, 1296, 269, 1403, 596, 1413, 1310, 707, 7484, 5402, 621, 1058, 2063, 4557, 1296, 267, 865, 621, 568, 4502, 1210, 513, 1434, 835, 454, 763, 2766, 568, 1152, 972, 865, 602, 596, 666, 1745, 3330, 547, 2327, 519, 7484, 568, 972, 269, 898, 1058, 711, 1093, 651, 856, 540, 707, 29199, 269, 1403, 519, 2766, 533, 10280, 856, 267, 2759, 513, 1507, 4062, 1055, 609, 23805, 610, 513, 17180, 547, 1118, 621, 3514, 269, 1403, 621, 568, 1869, 13943, 267, 2759, 513, 3787, 811, 689, 519, 2766, 269, 2142, 6297, 711, 547, 2759, 513, 8559, 538, 519, 7484, 2336, 8133, 269, 634, 18492, 7484, 568, 1434, 585, 1769, 1974, 2095, 267, 607, 621, 25173, 1973, 1510, 21716, 2067, 12862, 689, 519, 21420, 6821, 563, 763, 18492, 7484, 1281, 711, 2061, 6379, 267, 6862, 2149, 689, 16770, 10299, 5563, 269, 2368, 15185, 616, 6899, 1210, 513, 7484, 1282, 3023, 267, 621, 568, 909, 547, 873, 269, 0, 2171, 1631, 2097, 547, 1776, 1433, 538, 3163, 585, 15526, 10022, 267, 713, 835, 568, 11331, 901, 26812, 3215, 18395, 676, 966, 269, 715, 1547, 918, 558, 541, 990, 269, 901, 1433, 4422, 513, 1900, 2417, 982, 519, 1079, 824, 17651, 2835, 630, 5472, 6168, 634, 23571, 267, 589, 3883, 6168, 4643, 1115, 543, 25578, 264, 602, 649, 723, 2907, 2938, 269, 18395, 8197, 568, 513, 4241, 1641, 269, 5775, 918, 558 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 325, 19189, 815, 834, 309, 2967, 29833, 2103, 630, 6944, 571, 513, 1295, 3873, 642, 2632, 1228, 264, 27029, 1721, 1577, 571, 538, 9992, 848, 912, 825, 1820, 263, 2280, 571, 267, 754, 8782, 5073, 2745, 4590, 1721, 733, 538, 2039, 630, 1015, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 279, 267, 736, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 273, 267, 1556, 267, 273, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 1015, 16427, 272, 16427, 272, 2187, 825, 1820, 263, 4186, 2020, 2745, 4590, 1721, 733, 538, 2039, 630, 271, 267, 6078, 267, 273, 2187, 825, 1820, 263, 4186, 994, 0, 341, 1794, 807, 815, 11713, 333, 2345, 815, 14277, 294, 755, 822, 334, 2580, 834, 291, 19085, 2580, 834, 26469, 334, 2580, 834, 300, 7752, 639, 31116, 333, 10179, 657, 815, 1496, 272, 267, 1704, 267, 1960, 272, 267, 1789, 267, 3393, 2639, 332, 16695, 815, 22373, 23325, 2580, 1704, 267, 1412, 311, 3299, 1708, 272, 267, 834, 309, 2967, 9501, 31116, 325, 639, 14244, 815, 1496, 333, 2345, 19885, 10179, 657, 2639, 2745, 3890, 1948, 525, 11985, 9809, 334, 1303, 516, 607, 13274, 13757, 454, 2745, 3799, 2345, 994, 2745, 4590, 2745, 3799, 10179, 657, 994, 2745, 4590, 2745, 9852, 16695, 994, 2745, 4590, 2745, 6600, 639, 14244, 994, 2745, 4590, 2745, 263, 2381, 3799, 10179, 657, 4297, 567, 1948, 24464, 528, 1003, 3266, 454, 2745, 4590, 2745, 32384, 3799, 10179, 657, 4297, 1948, 30538, 1640, 1003, 3266, 454, 2745, 4590, 2745, 4433, 636, 3799, 10179, 657, 4297, 1948, 306, 558, 541, 454, 2745, 4590, 2745, 3799, 2345, 314, 271, 8079, 1948, 8266, 320, 513, 1064, 529, 14244, 13121, 562, 2345, 454, 2745, 4590, 2745, 9852, 16695, 314, 275, 8079, 1948, 8266, 320, 513, 1064, 529, 14244, 13121, 30458, 454, 2745, 4590, 2745, 6600, 639, 14244, 314, 271, 7481, 2745, 4590, 2745, 6600, 639, 14244, 314, 272, 7481, 2745, 4590, 2745, 6600, 639, 14244, 314, 271, 6012, 272, 8079, 1948, 335, 571, 513, 947, 541, 522, 3693, 334, 964, 324, 329, 5964, 3799, 727, 994, 2745, 4590, 2745, 6600, 639, 14244, 314, 271, 6012, 272, 3910, 325, 639, 14244, 314, 272, 6012, 273, 8079, 1948, 335, 571, 513, 947, 541, 522, 3693, 334, 964, 324, 329, 5964, 3799, 727, 264, 630, 11907, 994, 2745, 4590, 2745, 2891, 268, 6889, 265, 1789, 264, 258, 19324, 4302, 576, 591, 522, 6446, 1609, 320, 7202, 549, 546, 553, 29954, 553, 11188, 476, 1789, 20330, 2745, 4590, 2745, 3799, 2345, 994, 333, 2345, 1496, 274, 316, 815, 834, 30538, 6625, 257, 1948, 2704, 614, 541, 522, 562, 727, 6446, 1609, 320, 2512, 5964, 14255, 1064, 529, 14244, 476, 274, 23263, 454, 2745, 4590, 2745, 3799, 2345, 994, 2745, 4590, 2745, 6600, 639, 14244, 994, 325, 639, 14244, 1496, 272, 6012, 273, 316, 815, 476, 1708, 272, 454, 2745, 4590, 2745, 6600, 639, 14244, 264, 0, 258, 5327, 2378, 1470, 476, 272, 910, 10507, 920, 9366, 19804, 1982, 320, 6446, 3313, 547, 323, 657, 15259, 562, 14243, 1067, 657, 632, 476, 275, 620, 3258, 1143, 657, 6446, 1502, 600, 1583, 3021, 15606, 900, 798, 529, 562, 14243, 1067, 657, 632, 798, 529, 620, 3258, 1143, 657, 6446, 1474, 15606, 552, 6173, 18372, 5498, 513, 1474, 320, 513, 334, 22712, 2784, 334, 1073, 1084, 3873, 5498, 522, 929, 6759, 3064, 334, 562, 14243, 1067, 334, 563, 258, 2750, 6374, 334, 281, 476, 23714, 276, 815, 476, 4649, 552, 476, 4649, 1262, 273, 20527, 28075, 783, 3331, 350, 476, 23714, 276, 692, 1721, 562, 538, 2039, 263, 1911, 271, 267, 1911, 876, 2187, 825, 562, 272, 815, 562, 12262, 1911, 454, 825, 562, 273, 815, 562, 4939, 476, 1911, 454, 825, 952, 630, 333, 272, 266, 333, 273, 264, 1262, 273, 2652, 562, 912, 1038, 1820, 3799, 264, 0, 5814, 15259, 454, 5814, 26417, 7531, 341, 4925, 815, 476, 271, 454, 322, 663, 573, 919, 815, 11713, 341, 1774, 12248, 815, 2715, 10926, 258, 21860, 3758, 454, 322, 12364, 12949, 815, 15259, 29624, 12459, 7765, 2891, 324, 3005, 12774, 27406, 15419, 258, 1348, 519, 3758, 454, 5976, 1930, 6262, 12364, 12949, 264, 607, 26417, 12803, 912, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 14352, 12887, 4917, 825, 26417, 3650, 518, 815, 1985, 6262, 12364, 1348, 518, 994, 825, 1948, 27463, 848, 8917, 12523, 585, 1142, 4737, 454, 825, 585, 4737, 538, 26417, 1348, 518, 912, 1038, 16018, 6834, 476, 272, 454, 1038, 1948, 26303, 10457, 1592, 454, 1038, 952, 4737, 314, 273, 316, 711, 538, 10457, 912, 2018, 10457, 6910, 21405, 314, 273, 7481, 2018, 8917, 12248, 314, 992, 314, 273, 14963, 815, 476, 271, 454, 1038, 1948, 26303, 519, 8917, 12523, 585, 1142, 11134, 454, 1038, 585, 11134, 538, 10457, 912, 2018, 952, 4737, 314, 273, 316, 2652, 11134, 912, 3546, 8917, 12248, 314, 992, 314, 273, 14963, 6834, 476, 272, 7531, 258, 338, 677, 676, 519, 8917, 1293, 454, 338, 677, 341, 1774, 12248, 815, 15044, 17635, 1774, 12248, 29096, 19572, 1883, 284, 14433, 1535, 281, 1535, 314, 272, 3910, 516, 2091, 815, 6936, 9239, 2745, 2891, 292, 3005, 11778, 5602, 2745, 2891, 10900, 268, 5602, 2745, 6600, 257, 13707, 966, 4925, 281, 2715, 341, 4925, 348, 5602, 2745, 2891, 10900, 268, 5602, 1721, 11134, 538, 4990, 341, 1774, 12248, 912, 825, 1820, 6600, 257, 346, 322, 663, 28371, 314, 271, 316, 348, 2433, 2715, 322, 663, 28371, 314, 272, 316, 1315, 16018, 2608, 476, 1911, 15545, 274, 325, 348, 260, 630, 346, 322, 663, 28371, 314, 272, 316, 16585, 5602, 2745, 2891, 10900, 268, 5602, 2745, 6600, 257, 310, 27903, 281, 2715, 338, 677, 341, 1774, 12248, 314, 271, 6012, 271, 316, 348, 5602, 2745, 2891, 10900, 268, 257, 9239, 5976, 1930, 2891, 16059, 17902, 2580, 834, 342, 8442, 607, 3758, 912, 825, 3758, 22182, 2891, 292, 3005, 11778, 14826, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 5602, 825, 3758, 22182, 6600, 257, 13707, 966, 4925, 281, 2715, 341, 4925, 4153, 333, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 5602, 825, 585, 11134, 538, 4990, 341, 1774, 12248, 912, 1038, 3758, 22182, 6600, 257, 346, 322, 663, 28371, 314, 271, 316, 348, 2433, 2715, 322, 663, 28371, 314, 272, 316, 1315, 16018, 2608, 476, 1911, 15545, 274, 325, 348, 260, 630, 346, 322, 663, 28371, 314, 272, 316, 348, 9385, 333, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 5602, 825, 3758, 22182, 6600, 257, 310, 27903, 281, 2715, 338, 677, 341, 1774, 12248, 314, 271, 6012, 271, 316, 4153, 333, 5602, 825, 3758, 22182, 2891, 10900, 10559, 333, 15419, 0, 3240, 18743, 815, 13634, 825, 834, 4067, 9899, 834, 2704, 6975, 20350, 825, 834, 720, 9899, 476, 4391, 454, 348, 7531, 18411, 20597, 337, 643, 737, 331, 691, 1187, 330, 5406, 523, 1094, 1140, 3954, 543, 32057, 834, 4067, 257, 17328, 679, 8675, 454, 18411, 3698, 1689, 12173, 5560, 1112, 318, 15953, 267, 1007, 12173, 2187, 825, 9598, 318, 15953, 9131, 4067, 11172, 815, 1007, 12173, 7531, 4219, 12173, 30044, 18743, 267, 834, 27880, 5602, 2745, 30044, 18743, 14277, 4067, 19312, 9239, 18411, 19547, 737, 528, 516, 330, 3279, 521, 341, 15756, 21473, 1820, 1236, 320, 642, 4673, 1384, 825, 8861, 454, 18411, 0, 3698, 1205, 28747, 28442, 2187, 825, 2132, 7003, 28442, 9239, 26319, 815, 1205, 28747, 2891, 10817, 18480, 8709, 17664, 636, 5602, 2745, 10857, 2654, 267, 834, 263, 10817, 18480, 3331, 353, 337, 1236, 777, 13873, 1285, 5124, 17983, 12467, 258, 634, 2953, 2626, 1934, 1058, 581, 2387, 1626, 26384, 258, 28150, 930, 3063, 6060, 676, 16460, 945, 834, 10817, 18480, 8709, 17664, 636, 257, 568, 6902, 994, 0, 5035, 7813, 28398, 3890, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6230, 2292, 815, 476, 8182, 271, 692, 825, 1219, 1205, 8548, 2292, 4311, 2187, 1038, 2132, 1582, 6230, 2292, 692, 825, 23288, 825, 32020, 737, 331, 691, 3954, 3771, 1187, 330, 5406, 523, 2676, 825, 3954, 1236, 320, 522, 6390, 642, 731, 564, 17328, 1582, 6230, 2292, 1199, 642, 731, 564, 1474, 1236, 1157, 553, 538, 563, 825, 23288, 825, 1219, 1039, 8548, 2292, 4311, 267, 2179, 2187, 1038, 1582, 6230, 2292, 6834, 2179, 7531, 18283, 17624, 15193, 815, 7813, 28398, 4590, 18283, 17624, 15193, 14491, 8548, 2292, 263, 2735, 9239, 18411, 19547, 737, 528, 516, 330, 3279, 521, 341, 15756, 1775, 546, 28225, 1820, 1236, 320, 642, 4673, 1384, 825, 476, 9692, 279, 454, 18411, 2745, 263, 18283, 17624, 15193, 10947, 8548, 2292, 15405, 0, 5228, 2979, 1104, 21762, 692, 5035, 8672, 912, 825, 8953, 815, 476, 271, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 8587, 1582, 269, 31371, 13118, 815, 11713, 8587, 1582, 11859, 815, 1535, 454, 8587, 1582, 13885, 815, 586, 454, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 8587, 2132, 630, 1345, 11859, 2525, 1278, 11859, 264, 543, 630, 1345, 13885, 2525, 1278, 13885, 2020, 9557, 318, 1551, 815, 29129, 5976, 1930, 3488, 9557, 17902, 10807, 607, 2798, 912, 825, 585, 7329, 343, 267, 1448, 538, 26246, 263, 9557, 2187, 1038, 1448, 815, 1448, 21858, 4590, 1038, 1448, 815, 1496, 842, 9217, 264, 585, 1775, 538, 1448, 2639, 1038, 2798, 318, 1551, 6910, 263, 11592, 263, 4812, 314, 271, 3910, 1448, 314, 272, 8079, 2020, 301, 815, 7003, 263, 9557, 318, 1551, 2020, 1721, 795, 538, 2798, 318, 1551, 912, 825, 952, 630, 9557, 318, 1551, 29644, 27203, 25631, 284, 272, 2187, 1038, 2798, 318, 1551, 31927, 27203, 994, 1038, 715, 284, 301, 268, 272, 454, 3097, 1721, 1775, 538, 1535, 9792, 263, 271, 267, 301, 2187, 825, 952, 630, 328, 2525, 271, 2187, 1038, 1295, 284, 6912, 9230, 9557, 318, 1551, 314, 271, 4940, 343, 15304, 338, 318, 1551, 314, 301, 268, 272, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 314, 271, 4940, 344, 15304, 338, 318, 1551, 314, 301, 268, 272, 4940, 344, 264, 1262, 273, 994, 825, 3116, 912, 1038, 1295, 284, 6912, 9230, 9557, 318, 1551, 5157, 4940, 343, 15304, 338, 318, 1551, 314, 271, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 5157, 4940, 344, 15304, 338, 318, 1551, 314, 271, 4940, 344, 264, 1262, 273, 264, 8931, 825, 585, 795, 538, 1535, 9792, 263, 271, 267, 301, 2187, 1038, 952, 630, 329, 256, 284, 328, 2187, 2018, 11397, 284, 6912, 9230, 9557, 318, 1551, 5157, 4940, 343, 15304, 338, 318, 1551, 14728, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 5157, 4940, 344, 15304, 338, 318, 1551, 14728, 4940, 344, 264, 1262, 273, 994, 2018, 952, 630, 323, 9665, 283, 2381, 2187, 3546, 1295, 284, 323, 9665, 454, 1038, 2798, 318, 1551, 5157, 4940, 31709, 284, 2381, 28329, 1721, 1775, 538, 1535, 9792, 263, 271, 267, 301, 2187, 825, 585, 795, 538, 1535, 9792, 263, 271, 267, 301, 2187, 1038, 952, 630, 329, 256, 284, 328, 2187, 2018, 11397, 14352, 6912, 9230, 9557, 318, 1551, 5157, 4940, 343, 15304, 338, 318, 1551, 14728, 4940, 343, 264, 1262, 273, 23444, 9557, 318, 1551, 5157, 4940, 344, 15304, 338, 318, 1551, 14728, 4940, 344, 264, 1262, 273, 4297, 270, 273, 454, 2018, 952, 630, 323, 9665, 27045, 9557, 318, 1551, 5157, 4940, 31709, 2567, 3546, 454, 23526, 2798, 318, 1551, 5157, 4940, 31371, 13118, 6910, 27203, 994, 25639, 454, 1721, 1775, 538, 1535, 9792, 630, 271, 267, 301, 2187, 825, 1820, 18011, 11592, 1297, 3299, 328, 266, 272, 994, 825, 1820, 263, 9557, 318, 1551, 5157, 4940, 343, 267, 9557, 318, 1551, 5157, 4940, 344, 994, 825, 1820, 2891, 20238, 3780, 284, 2580, 9557, 318, 1551, 5157, 4940, 31709, 994, 825, 1820, 3488, 10468, 662, 321, 2293, 281, 5073, 825, 585, 795, 538, 2798, 318, 1551, 5157, 4940, 31371, 13118, 912, 1038, 1820, 263, 9557, 318, 1551, 14728, 4940, 343, 267, 9557, 318, 1551, 14728, 4940, 344, 994, 825, 1820, 18011, 315, 333, 5073, 0, 258, 1104, 541, 579, 334, 27368, 454, 5814, 27368, 692, 258, 538, 545, 3511, 513, 12190, 1774, 8619, 454, 6853, 18524, 269, 8181, 10797, 258, 524, 686, 18372, 579, 2742, 23891, 11253, 1138, 1255, 454, 13568, 11253, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 8517, 267, 476, 6110, 1070, 476, 271, 267, 476, 3953, 2020, 258, 897, 665, 18372, 19804, 512, 6403, 339, 25222, 14255, 23891, 11253, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1607, 568, 3144, 689, 513, 2487, 1957, 3370, 538, 8447, 5623, 5022, 630, 4338, 306, 3820, 994, 10454, 5506, 602, 519, 17807, 6818, 538, 513, 7123, 1533, 949, 581, 3152, 982, 5892, 2219, 4799, 257, 2414, 1174, 519, 2104, 543, 519, 2250, 540, 519, 17807, 267, 543, 547, 2708, 519, 14496, 540, 1965, 23298, 1670, 11236, 267, 835, 1631, 2115, 811, 5730, 7403, 540, 519, 11612, 7714, 536, 657, 517, 2527, 543, 540, 824, 6724, 540, 519, 3044, 2203, 269, 18776, 538, 713, 4287, 786, 2097, 689, 2104, 6901, 693, 519, 700, 18449, 267, 607, 1134, 607, 693, 824, 14232, 6703, 267, 971, 607, 519, 4139, 12430, 7502, 3187, 543, 519, 15020, 14066, 16874, 1258, 7502, 3187, 269, 1717, 267, 519, 1482, 6901, 949, 849, 3605, 1007, 5536, 543, 4205, 267, 799, 1131, 12189, 519, 11612, 7714, 1761, 543, 3976, 25340, 7369, 519, 1699, 4901, 593, 519, 17807, 779, 6617, 4799, 763, 3113, 14550, 1141, 938, 17807, 29084, 630, 520, 519, 5169, 1040, 1677, 1174, 1018, 713, 3113, 14550, 267, 835, 14659, 538, 2165, 540, 513, 3440, 12902, 593, 519, 14258, 269, 1403, 649, 616, 693, 519, 9803, 1448, 593, 519, 14258, 267, 1775, 4318, 269, 519, 1079, 14258, 6825, 1412, 1805, 762, 3299, 1287, 519, 11708, 602, 616, 1152, 2362, 982, 519, 5169, 2049, 269, 1703, 568, 24076, 547, 979, 270, 2651, 855, 1524, 5196, 519, 5169, 630, 4252, 12902, 1524, 24824, 3936, 956, 693, 519, 5169, 1040, 634, 824, 14258, 630, 5471, 770, 762, 3148, 543, 849, 519, 9803, 7455, 264, 666, 5512, 519, 3440, 547, 2196, 1524, 24824, 547, 1412, 17463, 262, 20581, 2469, 1524, 1055, 547, 519, 1318, 1688, 2427, 267, 11014, 269, 2334, 5012, 547, 513, 7122, 17253, 12511, 15581, 799, 2242, 13497, 269, 901, 1131, 1611, 602, 519, 17807, 568, 6038, 18633, 543, 621, 568, 513, 2339, 540, 942, 585, 519, 12511, 547, 834, 2998, 1524, 24824, 2668, 901, 7872, 568, 519, 9697, 770, 23393, 5219, 547, 538, 519, 1957, 269, 1284, 2887, 883, 519, 705, 903, 338, 593, 519, 1318, 1688, 2427, 540, 519, 3113, 269, 1358, 4867, 1589, 519, 13849, 3613, 762, 14258, 616, 1869, 811, 2693, 563, 716, 783, 1957, 2630, 0, 296, 917, 594, 6415, 1152, 476, 1321, 2483, 3719, 1775, 2731, 530, 13860, 1451, 930, 2182, 14537, 13004, 256, 9320, 23722, 630, 299, 565, 1040, 1306, 1279, 607, 596, 16921, 948, 803, 268, 1134, 952, 907, 888, 296, 530, 13860, 1451, 713, 547, 1745, 10583, 630, 311, 291, 267, 585, 1187, 267, 585, 2069, 267, 585, 2104, 543, 547, 23666, 1250, 4587, 7015, 563, 3719, 5631, 585, 2069, 543, 519, 1249, 602, 594, 2972, 1565, 13004, 269, 6145, 950, 9253, 1328, 6026, 803, 930, 32089, 543, 1631, 19000, 1775, 10150, 621, 269, 1924, 1775, 1616, 811, 907, 888, 296, 1131, 2307, 513, 1433, 267, 4116, 610, 24107, 855, 789, 2760, 723, 519, 942, 270, 24987, 563, 296, 4440, 3280, 21173, 267, 855, 621, 781, 3020, 563, 28775, 2685, 267, 824, 786, 1451, 1932, 2336, 12179, 2251, 1131, 581, 1434, 7602, 497, 16378, 497, 16378, 497, 454, 296, 6415, 7168, 6654, 2483, 296, 7058, 1775, 1175, 530, 13860, 1451, 855, 1775, 1810, 1405, 917, 1018, 1175, 1945, 3564, 1250, 1377, 888, 12024, 875, 9253, 1328, 512, 2795, 803, 18983, 16615, 269, 594, 10150, 602, 563, 8794, 519, 15328, 710, 4341, 267, 19456, 23768, 543, 29890, 593, 513, 3337, 1500, 540, 1079, 6906, 7923, 547, 513, 10126, 540, 5858, 267, 649, 666, 960, 856, 519, 8953, 540, 519, 5858, 1210, 713, 281, 5291, 2517, 4445, 1794, 334, 2593, 270, 1626, 320, 279, 321, 6767, 278, 6277, 6321, 322, 277, 1428, 28656, 324, 6507, 278, 6321, 322, 2801, 31696, 324, 454, 13981, 4609, 585, 631, 294, 543, 824, 16994, 1053, 454, 1607, 3135, 5654, 1434, 543, 621, 5526, 547, 581, 1863, 269, 1403, 596, 6443, 909, 789, 3950, 707, 3356, 2433, 994, 2080, 568, 1776, 3135, 912, 28646, 891, 4609, 786, 927, 596, 1451, 855, 786, 849, 948, 596, 24917, 538, 593, 1018, 596, 1616, 547, 1451, 543, 649, 666, 948, 596, 1174, 952, 596, 1205, 12758, 563, 296, 1810, 1405, 917, 952, 596, 723, 8068, 855, 594, 723, 1044, 6028, 930, 4967, 585, 596, 593, 824, 1004, 781, 16060, 563, 16269, 616, 593, 1007, 9708, 609, 532, 519, 16060, 596, 666, 1294, 707, 2012, 593, 519, 2626, 2985, 2433, 994, 2791, 616, 10950, 631, 294, 454, 2252, 596, 2119, 1346, 4609, 596, 666, 1205, 1394, 609, 513, 2689, 540, 873, 269, 2334, 1131, 581, 1390, 269, 2433, 4297, 0, 2704, 4022, 568, 513, 1360, 883, 13877, 908, 20892, 602, 666, 1291, 547, 3978, 2427, 2360, 267, 1312, 538, 519, 2110, 3856, 543, 1279, 3856, 269, 2755, 621, 568, 3656, 585, 1004, 945, 616, 476, 2641, 543, 4587, 547, 8532, 23931, 16098, 538, 519, 2136, 2276, 267, 4568, 568, 849, 835, 540, 519, 1034, 4922, 26884, 883, 13877, 908, 6878, 563, 763, 2817, 4659, 593, 15850, 18816, 543, 15850, 1143, 630, 25712, 8150, 288, 264, 5359, 602, 972, 616, 693, 2547, 476, 1626, 2929, 1004, 538, 519, 2475, 945, 2743, 519, 7355, 585, 4568, 946, 4524, 630, 288, 11070, 1070, 610, 29015, 282, 827, 476, 1428, 269, 272, 2929, 540, 891, 2043, 616, 4079, 267, 6502, 476, 1240, 543, 4587, 267, 543, 827, 476, 277, 2537, 267, 1822, 616, 10708, 1063, 519, 6502, 540, 476, 1321, 543, 476, 1704, 269, 634, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 5359, 602, 476, 6434, 267, 1822, 1004, 5884, 1169, 1032, 1813, 547, 930, 3390, 1644, 547, 4568, 267, 971, 607, 1286, 26301, 267, 4568, 15464, 267, 543, 6797, 5821, 563, 306, 7219, 543, 18323, 12983, 13565, 547, 15850, 2422, 454, 16449, 519, 1082, 2427, 2360, 2404, 609, 6704, 1932, 1454, 267, 15353, 267, 588, 22824, 267, 543, 1793, 13899, 4633, 616, 930, 540, 519, 1034, 1634, 269, 15850, 666, 849, 1689, 824, 6547, 538, 519, 1560, 267, 1519, 1973, 2604, 267, 4295, 1560, 2837, 267, 543, 2960, 269, 25530, 4568, 666, 1118, 513, 1268, 1745, 15911, 1247, 2965, 2810, 741, 1981, 540, 7092, 689, 4411, 269, 26243, 267, 4568, 666, 1118, 513, 1268, 1745, 15381, 547, 824, 2042, 538, 519, 1604, 267, 1519, 2837, 267, 543, 621, 666, 2014, 1166, 5241, 610, 1025, 5241, 538, 519, 3068, 610, 824, 2127, 540, 519, 2960, 269, 2368, 540, 891, 2837, 5829, 4220, 616, 811, 5906, 982, 1866, 563, 268, 634, 4568, 23574, 5114, 281, 2690, 1082, 1004, 267, 513, 4837, 540, 9174, 610, 533, 842, 540, 14420, 666, 2014, 1166, 5241, 538, 519, 3068, 267, 543, 519, 811, 519, 1268, 10425, 267, 519, 2699, 1457, 741, 2960, 3587, 543, 519, 25858, 1512, 741, 4064, 1205, 269, 901, 1826, 540, 2960, 1166, 5241, 267, 799, 4386, 6140, 538, 519, 3068, 855, 666, 2408, 782, 936, 519, 1560, 267, 568, 1813, 547, 606, 15110, 3668, 540, 513, 6797, 11747, 267, 620, 24957, 13204, 4088, 848, 269, 901, 11747, 2337, 519, 6797, 2736, 1524, 4568, 883, 1114, 6675, 602, 666, 581, 8311, 1242, 856, 540, 519, 1560, 282, 2705, 267, 1510, 2614, 540, 713, 11747, 267, 13802, 689, 7558, 532, 4568, 1628, 909, 538, 519, 1560, 543, 666, 2014, 1166, 5241, 538, 519, 2960, 269, 4014, 513, 1025, 2313, 610, 23574, 538, 519, 3068, 689, 513, 1906, 32122, 540, 4568, 568, 711, 20244, 5906, 267, 519, 3668, 540, 620, 24957, 13204, 4088, 848, 568, 513, 1129, 540, 824, 1761, 2175, 269, 634, 6090, 2404, 609, 1447, 540, 713, 11747, 723, 849, 1044, 2404, 609, 606, 2799, 1981, 540, 1965, 23569, 2860, 543, 5312, 1164, 1973, 2604, 269, 2755, 6704, 1932, 1454, 568, 513, 1981, 3815, 585, 1312, 540, 891, 2175, 19037, 267, 519, 4389, 6797, 11747, 1797, 602, 1004, 945, 23574, 723, 513, 2362, 8417, 547, 519, 6757, 2360, 540, 4568, 282, 16220, 267, 713, 1797, 789, 616, 811, 693, 1981, 585, 891, 1279, 3856, 1072, 2042, 563, 268, 31687, 908, 689, 6704, 1932, 1454, 281, 2290, 540, 519, 811, 1455, 2427, 2360, 689, 6704, 1932, 1454, 568, 24852, 269, 15380, 267, 519, 1560, 4418, 1846, 547, 2539, 922, 2837, 998, 21381, 269, 11644, 267, 3636, 2395, 267, 543, 905, 951, 616, 782, 4128, 602, 513, 1268, 1522, 17570, 282, 824, 4128, 1331, 883, 343, 1709, 689, 5061, 610, 4568, 7868, 6797, 666, 9108, 8311, 1125, 827, 835, 7674, 540, 4568, 829, 5662, 282, 10438, 811, 982, 835, 7674, 4679, 519, 1973, 4568, 1543, 630, 289, 3722, 264, 5488, 267, 543, 519, 1268, 786, 2253, 547, 2408, 610, 1745, 883, 343, 5344, 269, 1677, 343, 1231, 689, 519, 6797, 779, 14887, 8311, 1944, 540, 4568, 786, 1628, 909, 538, 519, 1560, 267, 4929, 1896, 2242, 547, 519, 2634, 543, 875, 8219, 1599, 269, 15850, 779, 13802, 23822, 1973, 8043, 2429, 519, 1560, 269, 901, 1281, 267, 538, 851, 267, 2491, 1025, 5241, 610, 1166, 5241, 538, 519, 2960, 950, 513, 1268, 3587, 26583, 282, 2705, 267, 546, 7976, 540, 891, 8043, 568, 849, 1455, 950, 513, 1268, 4418, 1846, 1813, 547, 1560, 2837, 2242, 269, 634, 1560, 949, 2253, 547, 17570, 538, 3210, 547, 2242, 538, 519, 1973, 8043, 269, 634, 1560, 949, 849, 2253, 547, 1745, 15911, 267, 855, 713, 568, 22801, 282, 4568, 3335, 24506, 519, 4295, 1560, 2837, 267, 543, 24852, 666, 2539, 621, 1256, 2417, 563, 268, 15448, 547, 1560, 2837, 281, 634, 1560, 779, 2837, 568, 3812, 538, 2620, 8219, 267, 609, 519, 2634, 267, 2295, 267, 543, 6797, 1373, 519, 3119, 2959, 540, 1560, 3002, 269, 1879, 513, 1268, 7575, 741, 20258, 6091, 267, 971, 607, 1282, 3635, 267, 713, 1184, 849, 7472, 513, 2603, 540, 3002, 269, 634, 1184, 540, 12536, 267, 2523, 998, 519, 6797, 267, 2242, 1560, 2837, 282, 950, 519, 6797, 8311, 3278, 513, 2603, 540, 4568, 267, 713, 666, 1291, 547, 4743, 3636, 267, 607, 519, 6797, 3947, 1055, 513, 2603, 540, 3002, 269, 1717, 267, 519, 1964, 540, 519, 1560, 949, 1831, 21617, 1247, 519, 6797, 1568, 936, 5503, 547, 8311, 1125, 4568, 7868, 10593, 538, 1973, 3761, 2429, 519, 1560, 1107, 2938, 538, 1166, 5241, 543, 5433, 538, 2837, 2242, 1107, 2965, 2014, 519, 1560, 547, 5305, 811, 3002, 269, 1717, 267, 1317, 519, 1268, 7959, 15911, 267, 789, 798, 711, 5469, 602, 741, 4295, 1560, 2837, 568, 2469, 1524, 267, 607, 1973, 8043, 4228, 543, 17570, 3123, 3002, 547, 4734, 519, 1560, 269, 2201, 15911, 2395, 267, 713, 949, 2014, 513, 1268, 547, 1745, 562, 1021, 730, 610, 546, 714, 5414, 282, 2705, 267, 593, 4411, 1256, 902, 267, 2523, 1282, 519, 5162, 267, 6704, 1932, 1454, 666, 1831, 5906, 269, 4658, 949, 7340, 827, 741, 10359, 610, 1491, 621, 1055, 267, 513, 7613, 1572, 519, 14420, 29075, 610, 4568, 27972, 752, 1317, 789, 723, 1185, 1932, 1454, 547, 4235, 543, 789, 1745, 1932, 3636, 585, 741, 9018, 5957, 269, 769, 1360, 4411, 4025, 267, 1498, 267, 513, 1268, 945, 1281, 711, 8275, 602, 621, 568, 5393, 4411, 267, 543, 602, 741, 1560, 779, 4295, 2837, 568, 13302, 267, 568, 693, 1981, 540, 7092, 2042, 899, 3834, 1278, 8926, 563, 268, 12182, 30303, 281, 1879, 519, 2360, 540, 4568, 5957, 1055, 267, 513, 1268, 949, 1745, 3905, 30303, 607, 851, 540, 519, 13793, 1478, 1995, 269, 3958, 267, 1004, 945, 6560, 609, 5230, 6704, 267, 28675, 6704, 267, 610, 589, 11070, 949, 849, 1995, 3905, 30303, 269, 901, 568, 3361, 676, 519, 13346, 3666, 540, 10399, 538, 519, 1560, 269, 12182, 30303, 616, 513, 1634, 10835, 540, 22797, 1107, 513, 1689, 538, 17441, 21356, 602, 4386, 538, 4587, 2021, 1107, 855, 4568, 666, 849, 2800, 519, 25012, 1062, 267, 799, 21356, 10399, 2429, 519, 1560, 563, 7922, 5241, 689, 513, 2034, 4837, 540, 9174, 568, 711, 5739, 267, 855, 11173, 547, 4235, 1223, 1291, 547, 1896, 2042, 538, 519, 1560, 267, 1519, 9620, 547, 2226, 4295, 1560, 2837, 267, 24852, 267, 543, 2799, 1981, 540, 1279, 3856, 1072, 2042, 267, 689, 2295, 2068, 547, 2860, 269, 0, 19616, 4306, 5508, 744, 7838, 717, 19181, 2894, 12813, 3198, 4811, 723, 5810, 693, 930, 942, 1282, 741, 3395, 4783, 269, 3509, 267, 540, 1576, 267, 616, 15022, 22954, 12630, 5097, 585, 519, 5810, 789, 3132, 269, 3509, 3730, 7786, 1265, 519, 5810, 1175, 607, 10694, 607, 649, 798, 267, 855, 585, 1114, 4128, 563, 23044, 619, 8385, 2919, 607, 1397, 344, 2242, 547, 4482, 519, 3007, 540, 7786, 585, 26853, 269, 13536 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 338, 547, 519, 3318, 29282, 267, 1102, 16623, 267, 3926, 23769, 5725, 267, 610, 3239, 1747, 6868, 269, 1215, 1677, 589, 6153, 256, 5192, 707, 1870, 6881, 2813, 2221, 256, 476, 1428, 563, 290, 2444, 3385, 910, 17948, 6355, 27484, 269, 595, 2444, 1228, 568, 513, 11684, 17948, 10959, 609, 513, 2241, 267, 6198, 12716, 269, 2060, 621, 596, 666, 1711, 1175, 827, 1022, 6881, 267, 689, 7616, 13668, 267, 2022, 10131, 8039, 267, 2344, 1382, 267, 610, 2319, 2866, 269, 1703, 616, 476, 6344, 3860, 15942, 609, 513, 3099, 540, 29282, 269, 898, 6403, 338, 3710, 609, 2973, 267, 2653, 547, 1957, 267, 1689, 2681, 6163, 267, 543, 875, 547, 1305, 909, 513, 1434, 267, 2882, 513, 12829, 27748, 7732, 269, 476, 1626, 563, 18933, 1170, 13910, 910, 3687, 2711, 17948, 22276, 269, 901, 18230, 2511, 17948, 10959, 568, 513, 5929, 689, 938, 2037, 341, 6737, 10369, 21287, 269, 898, 6403, 338, 3710, 676, 4432, 924, 2278, 20336, 311, 9188, 793, 269, 634, 11768, 2511, 568, 8766, 267, 543, 621, 2934, 12050, 946, 540, 827, 1462, 2762, 543, 5546, 269, 1215, 1677, 21261, 894, 256, 901, 4207, 623, 8976, 10959, 568, 1390, 585, 2123, 610, 9746, 946, 563, 2005, 2882, 521, 5585, 267, 11029, 27515, 267, 3239, 543, 1257, 1747, 6868, 267, 543, 5100, 3615, 602, 616, 2653, 547, 12575, 609, 519, 3769, 26598, 11711, 269, 476, 1704, 269, 2725, 17383, 910, 17948, 19809, 22276, 269, 2725, 17383, 623, 8976, 6881, 10959, 814, 476, 1911, 2189, 15942, 269, 898, 6403, 338, 2966, 609, 513, 8766, 2511, 267, 855, 568, 7768, 540, 513, 1297, 540, 3860, 2934, 267, 1519, 513, 2407, 25819, 540, 281, 13472, 29282, 267, 2789, 2681, 5079, 267, 24069, 267, 1102, 4919, 3681, 267, 12125, 267, 11708, 267, 543, 811, 269, 1403, 596, 723, 1950, 1344, 547, 5838, 267, 713, 10959, 666, 948, 596, 14458, 621, 1524, 609, 1175, 519, 1318, 13472, 585, 1142, 5057, 540, 707, 9623, 269, 901, 1259, 267, 596, 666, 3640, 8903, 2093, 883, 707, 6881, 267, 543, 3948, 2243, 267, 10544, 707, 5304, 256, 476, 1240, 269, 4460, 6349, 910, 7073, 17948, 22276, 269, 1403, 596, 991, 547, 5838, 513, 3860, 1523, 267, 17945, 513, 1870, 5304, 267, 610, 23666, 707, 9164, 267, 713, 6687, 17123, 6881, 10959, 568, 513, 1390, 3903, 563, 15812, 6349, 814, 513, 8766, 267, 3860, 12716, 609, 936, 476, 18231, 2189, 13472, 6272, 269, 1215, 1677, 21261, 894, 256, 898, 6403, 338, 1390, 952, 596, 991, 513, 1804, 1297, 540, 13472, 11768, 3681, 547, 844, 7627, 1957, 267, 1628, 707, 6881, 609, 269, 898, 2934, 513, 8903, 3575, 540, 13472, 6272, 267, 971, 607, 281, 2319, 267, 28868, 267, 3028, 3817, 267, 3457, 267, 14499, 7515, 267, 19922, 20502, 267, 1102, 16623, 267, 12125, 267, 9979, 267, 11295, 1239, 267, 7265, 1229, 9623, 267, 7851, 267, 543, 811, 269, 476, 866, 269, 11822, 623, 8976, 910, 17948, 19809, 5071, 269, 634, 11822, 17948, 10959, 568, 2966, 676, 4432, 924, 2278, 4943, 553, 793, 269, 2422, 621, 585, 9746, 8804, 14245, 610, 811, 3860, 1870, 14245, 563, 4407, 621, 6403, 338, 14095, 609, 1374, 3681, 267, 621, 6403, 338, 14764, 547, 581, 2653, 547, 875, 547, 1305, 909, 513, 1434, 12819, 267, 960, 609, 269, 4828, 26269, 256, 634, 623, 8976, 3758, 568, 1759, 593, 9457, 6215, 1938, 267, 2653, 547, 12575, 12829, 9209, 267, 543, 1305, 909, 513, 1434, 267, 835, 26487, 2681, 2242, 269, 1703, 616, 936, 476, 1911, 2189, 13472, 6272, 267, 609, 513, 2407, 5542, 540, 1957, 3860, 29282, 269, 1403, 596, 1616, 513, 2973, 6249, 609, 513, 3575, 540, 12383, 267, 1102, 16623, 267, 543, 1870, 15942, 267, 1287, 713, 11822, 623, 8976, 10959, 568, 12819, 267, 513, 16771, 6759, 1326, 621, 1631, 256, 476, 736, 269, 31177, 3122, 910, 7073, 17948, 19809, 22276, 269, 4828, 6168, 11334, 256, 901, 568, 513, 4190, 623, 8976, 10959, 267, 609, 513, 31042, 8766, 1374, 267, 543, 5140, 3666, 540, 3860, 2609, 563, 2005, 6403, 338, 14095, 609, 17615, 6272, 1996, 513, 29814, 17198, 269, 1656, 621, 2934, 936, 476, 1911, 1688, 18705, 13472, 6272, 267, 22023, 626, 1043, 946, 540, 30305, 10344, 267, 2413, 23935, 267, 543, 2973, 29282, 269, 1403, 596, 723, 513, 3860, 610, 5499, 1870, 6881, 547, 5838, 267, 713, 5295, 4812, 10959, 568, 513, 8903, 10959, 547, 12819, 267, 960, 609, 256, 476, 274, 11822, 17948, 19809, 9669, 269, 3371, 616, 1614, 2656, 6881, 4388, 563, 5445, 6403, 961, 948, 596, 1374, 513, 2312, 6881, 609, 513, 8766, 1374, 269, 4746, 267, 2995, 513, 12300, 3308, 1650, 609, 513, 5059, 6881, 269, 476, 272, 269, 3399, 2060, 513, 3687, 2711, 623, 8976, 22276, 269, 1411, 1616, 547, 3442, 513, 2241, 17948, 10959, 602, 13352, 707, 2115, 1134, 269, 898, 1058, 849, 581, 593, 16654, 585, 707, 6216, 267, 609, 513, 1374, 602, 6403, 338, 711, 1152, 10694, 267, 855, 513, 1390, 6474, 547, 596, 610, 707, 1870, 269, 11822, 623, 8976, 16574, 919, 910, 2139, 585, 9042, 593, 2037, 341, 6737, 10369, 630, 20877, 545, 5211, 264, 634, 17074, 1657, 782, 723, 513, 8766, 2511, 267, 609, 3860, 13472, 6272, 267, 855, 789, 2039, 538, 6988, 269, 2368, 616, 14095, 609, 2934, 267, 1247, 1866, 616, 29765, 269, 1403, 596, 723, 547, 2285, 707, 6881, 676, 519, 1439, 540, 519, 3018, 267, 1287, 3442, 513, 10959, 602, 6403, 338, 2731, 2653, 547, 960, 609, 543, 814, 3908, 2934, 267, 899, 891, 281, 634, 11822, 623, 8976, 22276, 568, 513, 1434, 3903, 538, 713, 2013, 267, 1317, 621, 3947, 596, 2241, 267, 6198, 6272, 267, 855, 711, 606, 593, 883, 519, 3552, 11566, 1297, 540, 1305, 909, 1557, 3681, 269, 5753, 4828, 2201, 3733, 256, 2107, 519, 12384, 17948, 10959, 568, 513, 1434, 267, 513, 31042, 3903, 609, 513, 3908, 4183, 1305, 269, 5637, 616, 2656, 547, 960, 609, 547, 1628, 513, 1390, 6881, 3728, 563, 292, 2416, 540, 891, 623, 8976, 17074, 666, 581, 16419, 3533, 609, 513, 3318, 20104, 269, 24641, 267, 952, 596, 6403, 516, 8888, 14245, 585, 707, 8116, 610, 23492, 543, 991, 2789, 3681, 267, 596, 666, 1205, 513, 2973, 8766, 2511, 17948, 602, 568, 14095, 609, 513, 581, 11803, 540, 2934, 267, 971, 607, 281, 2789, 13472, 1374, 3681, 267, 1102, 16623, 267, 3926, 23769, 5725, 267, 8749, 7146, 1673, 1886, 32262, 267, 543, 811, 269, 769, 713, 2013, 267, 519, 2413, 17948, 10959, 17502, 3757, 1131, 581, 606, 5140, 3903, 269, 476, 1001, 272, 256, 898, 6403, 338, 14095, 609, 10342, 267, 855, 2934, 513, 8766, 2511, 1374, 269, 4746, 267, 950, 7446, 513, 10959, 267, 1810, 6403, 339, 1745, 899, 596, 723, 547, 1118, 946, 540, 1169, 4183, 789, 2097, 609, 563, 21156, 267, 1152, 946, 519, 12819, 1557, 267, 3334, 602, 3514, 707, 5048, 1134, 269, 6258, 811, 827, 875, 547, 844, 7627, 267, 21160, 513, 17948, 10959, 538, 713, 5850, 281, 476, 273, 269, 5457, 281, 10815, 568, 10705, 2859, 13229, 269, 2422, 1374, 547, 7485, 1927, 707, 2798, 543, 1291, 707, 5304, 998, 707, 6881, 269, 1280, 1142, 13472, 3442, 513, 1374, 602, 1655, 13352, 519, 1570, 269, 1215, 1677, 589, 6153, 4828, 256, 1323, 1102, 4919, 949, 581, 1655, 585, 9306, 1239, 267, 6466, 513, 13354, 13472, 949, 581, 1318, 585, 6029, 875, 707, 2709, 15320, 689, 519, 6735, 267, 543, 513, 19922, 666, 13686, 707, 2319, 610, 2472, 269, 4518, 609, 519, 13472, 29282, 602, 1655, 3514, 707, 5048, 563, 16605, 538, 2247, 1498, 267, 513, 8766, 13472, 1374, 568, 4443, 585, 606, 5304, 547, 1224, 543, 1174, 269, 9045, 790, 6168, 11334, 256, 1358, 666, 1832, 3950, 540, 707, 2798, 543, 1305, 909, 513, 1434, 12819, 1557, 267, 1246, 2059, 609, 707, 6881, 269, 6875, 1416, 602, 596, 1810, 6403, 339, 2119, 547, 3640, 1932, 1454, 1344, 883, 707, 13472, 6272, 610, 936, 4777, 621, 269, 9045, 790, 11334, 256, 1411, 1810, 1405, 1616, 1932, 1082, 23877, 610, 6821, 540, 1257, 602, 1131, 8267, 332, 707, 5304, 267, 3079, 1832, 707, 13472, 6272, 5059, 269, 3680, 804, 13616, 543, 10539, 267, 543, 1305, 909, 12819, 1557, 267, 2832, 585, 9355, 269, 6258, 811, 827, 844, 7627, 875, 547, 1374, 606, 2500, 6881, 538, 713, 5850, 281, 476, 274, 269, 10312, 2659, 19809, 24606, 269, 5071, 3884, 6403, 339, 519, 1152, 6161, 950, 13167, 707, 6881, 269, 5590, 5455, 589, 6153, 21261, 894, 4828, 256, 2659, 5048, 568, 519, 30978, 6735, 267, 9920, 267, 6466, 1374, 568, 1175, 519, 6174, 621, 12599, 538, 563, 17637, 7028, 707, 2798, 267, 855, 1101, 267, 596, 991, 513, 1134, 3620, 19861, 2239, 269, 1677, 2253, 13167, 513, 8903, 1650, 585, 707, 6881, 267, 2322, 707, 5304, 1101, 269, 1411, 991, 547, 513, 1434, 12819, 1557, 267, 1832, 741, 3007, 267, 2232, 741, 2115, 267, 543, 2743, 741, 6788, 269, 6333, 281, 4208, 789, 616, 4947, 547, 707, 6881, 286, 1548, 2055, 789, 1223, 723, 286, 1215, 789, 1522, 2746, 547, 707, 3119, 5048, 286, 634, 811, 540, 3948, 2243, 891, 2798, 596, 2232, 267, 519, 1732, 707, 6881, 786, 13469, 609, 873, 563, 9596, 811, 827, 875, 547, 4739, 513, 10388, 6881, 281, 1656, 1810, 6403, 339, 2253, 8888, 2394, 596, 6403, 557, 3893, 707, 6881, 2854, 267, 707, 5048, 2312, 267, 543, 519, 1239, 596, 1616, 547, 1459, 4712, 547, 960, 609, 269, 1656, 1118, 2386, 596, 723, 513, 8903, 13622, 543, 875, 547, 1557, 267, 1650, 547, 2995, 269, 3973, 6108, 942, 28976, 707, 6881, 865, 602, 621, 6403, 338, 2653, 547, 1174, 269, 1403, 707, 5048, 568, 15458, 267, 1287, 14458, 621, 269, 1403, 596, 14095, 1932, 1454, 883, 513, 13472, 267, 1287, 2759, 621, 1524, 585, 9355, 269, 6258, 811, 827, 875, 547, 5098, 3948, 2243, 267, 2328, 513, 17948, 6881, 281, 8073, 513, 11822, 267, 13229, 17948, 19809, 269, 589, 6153, 256, 10558, 532, 609, 9355, 2337, 596, 3715, 6392, 543, 3972, 609, 707, 5304, 563, 4517, 513, 4276, 609, 707, 5304, 2636, 596, 547, 1118, 707, 2035, 2312, 543, 707, 2798, 8258, 3020, 267, 799, 5012, 547, 4657, 8186, 543, 10888, 9388, 256, 5131, 26496, 593, 10435, 4279, 10558, 725, 269, 8281, 634, 13159, 6651, 547, 593, 1250, 267, 10435, 4279, 10558, 725, 1631, 585, 513, 1434, 1557, 17676, 609, 513, 20478, 547, 1453, 1557, 593, 1250, 267, 519, 570, 7491, 266, 6355, 5240, 12072, 269, 4828, 256, 5192, 707, 2093, 4646, 883, 19320, 7658, 332, 11030, 476, 276, 268, 279, 267, 513, 3532, 6881, 602, 786, 1847, 707, 5304, 269, 2859, 4279, 17948, 20861, 8249, 563, 2252, 596, 991, 2417, 1344, 827, 875, 547, 4739, 513, 8903, 6881, 267, 1934, 616, 3606, 17948, 18862, 543, 4388, 281, 3400, 321, 513, 11822, 17948, 22276, 4653, 256, 589, 8766, 2511, 17948, 568, 513, 1390, 3903, 585, 513, 2647, 3099, 540, 14245, 269, 21261, 894, 256, 1284, 723, 513, 1297, 540, 623, 8976, 16574, 919, 547, 3442, 689, 593, 2037, 341, 6737, 10369, 610, 19584, 998, 938, 1655, 9513, 17948, 17074, 269, 19080, 15048, 256, 6258, 875, 547, 3533, 21160, 707, 17948, 10959, 543, 1376, 707, 6881, 1055, 609, 513, 3318, 1374, 256, 2037, 341, 6737, 570, 7491, 266, 18862, 616, 12261, 883, 824, 4654, 676, 938, 2146, 2818, 9767, 666, 581, 3238, 1932, 2336, 2237, 3733, 3194, 7433, 585, 2725, 20620, 2752, 294, 9331, 7728, 288, 20937, 623, 4338, 2207, 31031, 308, 6311, 13543, 454, 655, 3205, 519, 875, 547, 12819, 3594, 1496, 1607, 1557, 729, 2322, 1927, 1310, 2506, 3205, 781, 2669, 689, 513, 1297, 540, 30134, 618, 543, 2147, 9607, 646, 1185, 1500, 269, 898, 5526, 538, 634, 13159, 13360, 902, 540, 2565, 3594, 519, 3552, 267, 25453, 9546, 4777, 2506, 3205, 2073, 12995, 676, 11977, 2506, 3205, 316, 589, 1007, 4110, 540, 7214, 1379, 4667, 10464, 693, 1022, 3902, 269, 589, 6153, 269, 634, 946, 540, 519, 1158, 568, 602, 812, 949, 1451, 922, 4031, 269, 1656, 519, 1480, 5198, 723, 20617, 1129, 1881, 741, 2631, 540, 713, 267, 676, 10912, 5763, 267, 1797, 734, 2494, 1373, 519, 1439, 563, 23458, 568, 2141, 8797, 269, 4475, 594, 17192, 1715, 4789, 1317, 621, 568, 519, 2197, 538, 519, 1158, 1141, 568, 519, 1954, 652, 18820, 585, 2069, 269, 1284, 723, 2907, 3144, 267, 693, 1557, 1063, 476, 272, 268, 275, 27356, 22040, 476, 276, 268, 279, 519, 9544, 540, 519, 16690, 625, 630, 1721, 513, 9853, 594, 917, 585, 519, 1101, 942, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 278, 476, 6021, 281, 3393, 7537, 29643, 3367, 338, 281, 476, 272, 267, 18357, 454, 2026, 6531, 10073, 5170, 547, 2981, 1870, 267, 2221, 781, 2518, 16904, 616, 13934, 609, 5883, 513, 3395, 2179, 540, 1344, 2713, 3544, 540, 519, 1239, 4099, 269, 634, 4028, 10073, 540, 14164, 543, 5051, 5985, 13781, 616, 12615, 908, 519, 1966, 269, 23496, 5150, 1239, 4687, 543, 3608, 19307, 13514, 4390, 543, 19961, 9270, 607, 1134, 607, 3609, 543, 9431, 10220, 2152, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6021, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 272, 267, 278, 4343, 454, 19285, 1589, 602, 3025, 17767, 602, 585, 14164, 547, 2731, 8275, 922, 2407, 1761, 543, 1871, 602, 621, 568, 827, 2870, 8134, 543, 2344, 17541, 543, 602, 1100, 2582, 29449, 568, 2111, 547, 1489, 1018, 568, 2838, 2437, 6045, 10507, 1067, 531, 6767, 4210, 691, 345, 267, 966, 303, 267, 16373, 27617, 543, 13192, 693, 18238, 26856, 267, 538, 713, 20219, 306, 4211, 2177, 6745, 341, 5967, 693, 7711, 28830, 2750, 17763, 267, 4371, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6021, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 25090, 454, 310, 5622, 539, 676, 519, 9153, 540, 5488, 5647, 267, 2539, 570, 4596, 267, 543, 3152, 22231, 267, 4213, 540, 1169, 3337, 543, 2450, 723, 17947, 519, 6531, 693, 1169, 4494, 540, 519, 8668, 10518, 1107, 689, 8924, 547, 3758, 4687, 547, 5989, 269, 634, 6093, 3919, 4867, 3096, 811, 982, 513, 18797, 7254, 794, 539, 6531, 8924, 543, 786, 6521, 811, 982, 3368, 540, 782, 24913, 338, 547, 519, 6531, 676, 476, 1001, 279, 269, 6270, 6531, 9541, 723, 9447, 22905, 2640, 269, 1809, 789, 4076, 849, 8507, 538, 930, 26516, 2427, 13716, 338, 281, 6988, 543, 1981, 269, 4429, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6021, 281, 876, 7537, 29643, 3367, 338, 281, 476, 9032, 272, 454, 288, 9490, 3364, 568, 8345, 2059, 519, 1259, 547, 519, 5769, 540, 12085, 267, 12077, 2484, 1932, 1082, 3457, 547, 960, 609, 543, 4383, 269, 898, 814, 1831, 2312, 602, 649, 3513, 991, 1454, 2362, 4398, 3593, 2833, 602, 666, 1450, 721, 547, 811, 3362, 543, 9470, 2406, 960, 609, 519, 5215, 540, 3457, 602, 786, 4166, 581, 538, 1142, 540, 938, 2729, 269, 9373, 519, 17187, 8818, 4838, 267, 9256, 536, 1824, 649, 666, 12777, 2911, 609, 267, 23972, 547, 267, 543, 1256, 1463, 609, 938, 4555, 267, 609, 11251, 5841, 4987, 267, 627, 545, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 5881, 281, 3393, 7537, 29643, 3367, 338, 281, 476, 30156, 454, 2005, 568, 835, 3364, 547, 1628, 2582, 4853, 14164, 3156, 267, 855, 1018, 786, 621, 1491, 547, 1628, 519, 12829, 20079, 543, 5963, 2486, 4657, 3156, 540, 519, 2104, 286, 634, 2029, 4465, 1406, 581, 519, 1966, 267, 621, 786, 581, 519, 1297, 540, 6105, 602, 991, 547, 960, 1927, 543, 581, 13988, 538, 741, 8404, 547, 8011, 269, 769, 1010, 4303, 476, 273, 3223, 2106, 1774, 693, 7711, 28830, 2750, 17763, 267, 7009, 20891, 8230, 8643, 667, 22844, 326, 1066, 267, 5800, 12859, 16373, 15440, 693, 18238, 26856, 267, 5941, 875, 547, 1544, 547, 28111, 267, 7649, 267, 543, 1106, 9434, 782, 3613, 541, 6887, 547, 1689, 519, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 5881, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 275, 267, 16348, 454, 2691, 2679, 1804, 267, 6531, 2861, 3156, 602, 7500, 693, 513, 1164, 4336, 267, 621, 779, 1271, 547, 2226, 513, 1164, 8244, 543, 6043, 547, 14286, 269, 769, 1931, 547, 798, 602, 267, 596, 1590, 581, 27031, 540, 14286, 267, 1256, 538, 1769, 540, 14286, 538, 824, 2127, 540, 707, 3498, 269, 968, 293, 569, 1079, 9073, 1164, 892, 568, 606, 2025, 740, 720, 538, 519, 5925, 1852, 20987, 15908, 269, 898, 1797, 267, 8038, 1164, 2614, 865, 602, 952, 596, 1118, 513, 12161, 267, 596, 666, 3136, 10760, 609, 4055, 547, 1869, 1118, 9073, 269, 769, 1010, 8400, 693, 476, 1240, 628, 13192, 5890, 334, 267, 10557, 589, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 5881, 281, 876, 7537, 29643, 3367, 338, 281, 476, 276, 267, 27543, 454, 14071, 2811, 513, 2518, 7307, 16475, 8502, 269, 3776, 4295, 6075, 1305, 568, 513, 772, 2529, 11607, 22372, 6075, 602, 568, 3168, 547, 979, 2518, 2223, 6045, 14088, 29124, 267, 19737, 10615, 693, 4888, 13052, 8656, 267, 538, 713, 20219, 306, 4211, 2177, 6745, 341, 5967, 693, 476, 1240, 628, 13192, 5890, 334, 267, 4371, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6860, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 272, 267, 27843, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 12380, 9142, 267, 519, 19466, 2228, 12380, 543, 6531, 2866, 3760, 543, 2146, 267, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 12380, 9142, 729, 8547, 593, 519, 3661, 602, 3246, 1164, 7779, 267, 538, 3829, 2866, 1058, 581, 2139, 693, 606, 10097, 3902, 269, 12752, 3401, 538, 2298, 2866, 267, 3177, 2533, 267, 543, 2875, 13995, 10596, 267, 922, 3804, 568, 547, 524, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 3393, 7537, 29643, 3367, 338, 281, 476, 4817, 278, 454, 10574, 568, 519, 4492, 602, 11479, 519, 3684, 1565, 5690, 545, 9817, 543, 6038, 2488, 519, 1870, 1871, 269, 769, 1010, 8400, 693, 476, 736, 628, 13192, 5890, 334, 267, 3798, 3171, 1430, 8725, 267, 8689, 4882, 523, 1640, 13055, 4056, 693, 20985, 31173, 267, 786, 1865, 519, 1883, 9270, 1472, 2298, 267, 4320, 267, 4626, 17165, 267, 543, 7895, 580, 872, 602, 1590, 581, 18808, 609, 538, 1931, 547, 5265, 4492, 602, 2599, 563, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 274, 267, 277, 4510, 454, 10048, 3011, 20445, 616, 8508, 519, 11633, 5769, 519, 1482, 1259, 6800, 616, 16107, 28546, 23605, 1107, 547, 2087, 2949, 1072, 543, 9716, 269, 5637, 666, 1683, 5812, 6482, 267, 15287, 267, 543, 2303, 2773, 9283, 16419, 547, 948, 3914, 3853, 269, 28546, 4226, 3755, 666, 2070, 1483, 6066, 1239, 543, 1118, 11941, 547, 2333, 741, 2534, 269, 769, 1010, 8400, 693, 7711, 28830, 2750, 17763, 267, 4460, 12672, 16037, 12333, 7896, 26064, 267, 17113, 267, 693, 23817, 7913, 267, 5941, 875, 16107, 519, 11633, 5769, 543, 2483, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 1789, 7537, 29643, 3367, 338, 281, 476, 278, 267, 277, 2537, 454, 290, 4321, 17270, 568, 4742, 519, 5748, 585, 513, 1007, 5108, 540, 3435, 602, 723, 519, 1761, 547, 2981, 1870, 269, 9521, 2757, 4485, 547, 2679, 3435, 267, 513, 5042, 7384, 1935, 2636, 519, 1239, 547, 948, 3313, 519, 1259, 3156, 616, 2966, 269, 901, 24716, 609, 6671, 3301, 1646, 602, 5956, 609, 10747, 7954, 1759, 593, 519, 1699, 1259, 513, 1870, 13333, 269, 769, 1200, 8400, 693, 476, 1240, 628, 13192, 5890, 334, 267, 7225, 603, 590, 269, 15049, 21032, 267, 5518, 543, 16628, 540, 15049, 21032, 1299, 4429, 15037, 269, 476, 2641, 267, 476, 1001, 278, 476, 6734, 281, 876, 7537, 29643, 3367, 338, 281, 476, 272, 267, 3583, 279, 0, 26422, 2775, 543, 32416, 281, 3220, 22186, 787, 333, 14986, 454, 1692, 1082, 2053, 723, 596, 4862, 713, 888, 31415, 1248, 1055, 602, 8613, 267, 2490, 1055, 602, 2780, 256, 1411, 6108, 1932, 1454, 942, 890, 1359, 883, 13819, 543, 596, 3513, 1439, 909, 14124, 707, 32416, 25692, 11039, 267, 1007, 1382, 2982, 602, 596, 949, 1175, 723, 547, 2097, 909, 609, 1776, 2601, 547, 1205, 1346, 1055, 16181, 15181, 563, 763, 17638, 3733, 18701, 5530, 3238, 811, 982, 476, 275, 267, 1822, 5729, 476, 272, 543, 5729, 476, 278, 1153, 1053, 563, 763, 1353, 11943, 602, 972, 781, 513, 1463, 4276, 1063, 1434, 32416, 543, 519, 2179, 540, 942, 1453, 6108, 13964, 563, 268, 3220, 22186, 787, 333, 14986, 454, 268, 20513, 2986, 2657, 7070, 267, 2160, 2986, 17638, 454, 268, 9400, 589, 9037, 454, 268, 2549, 7701, 28226, 454, 268, 23715, 4471, 14639, 17664 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 18316, 994, 1038, 585, 4737, 538, 5467, 912, 2018, 4363, 8217, 314, 992, 9131, 11243, 11172, 316, 815, 4737, 9131, 15575, 23300, 825, 2132, 4363, 8217, 7531, 25669, 4590, 5320, 815, 1412, 7055, 6112, 6936, 912, 825, 2262, 815, 3403, 3488, 11767, 281, 5073, 825, 952, 2262, 2652, 1412, 12466, 1038, 1820, 3488, 24662, 20693, 505, 7430, 363, 417, 379, 483, 421, 510, 486, 7430, 356, 7430, 503, 12486, 5073, 825, 3116, 912, 1038, 3593, 12173, 815, 2262, 454, 1038, 2736, 692, 604, 15259, 29624, 20216, 1235, 3488, 516, 5570, 754, 27406, 262, 2187, 825, 4363, 8217, 815, 1224, 12336, 341, 4590, 825, 1820, 4433, 9285, 263, 516, 5570, 754, 8217, 267, 1883, 284, 516, 5570, 754, 8217, 10947, 267, 9258, 18989, 4917, 825, 1247, 6936, 912, 1038, 2161, 273, 3488, 20625, 5073, 1038, 2262, 815, 1412, 7055, 1038, 1247, 6936, 912, 2018, 2262, 815, 3403, 3488, 11767, 281, 5073, 2018, 952, 2262, 2652, 1412, 12466, 3546, 1820, 3488, 24662, 20693, 505, 7430, 363, 417, 379, 483, 421, 510, 486, 7430, 356, 7430, 503, 12486, 5073, 2018, 3116, 912, 3546, 2736, 454, 1038, 2736, 692, 25669, 274, 263, 12528, 12173, 994, 5320, 815, 1412, 7055, 6112, 6936, 912, 825, 2262, 815, 3403, 3488, 11767, 281, 5073, 825, 952, 2262, 2652, 1412, 12466, 1038, 1820, 3488, 24662, 20693, 505, 7430, 363, 417, 379, 483, 421, 510, 486, 7430, 356, 7430, 503, 12486, 5073, 825, 3116, 912, 1038, 13962, 12173, 815, 2262, 454, 1038, 530, 597, 974, 12336, 341, 263, 6135, 4768, 656, 12173, 267, 476, 272, 994, 1038, 2736, 7531, 25669, 275, 263, 12528, 12173, 2020, 0, 26611, 23591, 24800, 270, 7090, 692, 5814, 2979, 692, 3698, 11600, 10734, 520, 2583, 263, 3285, 701, 267, 5820, 2187, 476, 21461, 815, 11713, 476, 1948, 13765, 602, 1312, 21594, 723, 519, 1482, 10569, 454, 476, 952, 1305, 263, 3285, 701, 269, 12399, 28829, 2652, 1305, 263, 532, 19263, 269, 12399, 3890, 2187, 825, 1948, 1721, 1142, 7127, 267, 2638, 5820, 269, 14403, 13843, 11600, 269, 14403, 454, 825, 1948, 20135, 5820, 5258, 676, 2179, 585, 11600, 282, 1039, 547, 21461, 454, 825, 585, 6221, 23631, 267, 2179, 23631, 538, 11600, 29096, 10031, 8587, 2698, 318, 532, 815, 5820, 10947, 263, 14403, 23631, 994, 8587, 952, 2698, 318, 532, 13843, 2179, 23631, 912, 1038, 21461, 6910, 263, 4118, 269, 28776, 6025, 4973, 318, 532, 1315, 2179, 23631, 4917, 8587, 3116, 912, 1038, 2132, 476, 271, 454, 825, 1948, 13765, 585, 519, 10545, 2179, 267, 2132, 602, 454, 825, 2132, 1295, 6262, 5995, 994, 476, 3116, 912, 825, 2132, 476, 271, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 1948, 7827, 519, 13366, 540, 891, 21594, 547, 1449, 3097, 476, 1948, 707, 6388, 609, 1114, 11378, 454, 476, 11600, 815, 2715, 1412, 332, 20488, 9166, 476, 273, 7684, 454, 476, 5820, 815, 2715, 1412, 332, 20488, 9166, 476, 1220, 8679, 476, 1820, 2891, 346, 321, 520, 2583, 348, 10627, 2583, 666, 581, 1500, 689, 519, 2139, 5820, 281, 2715, 532, 19263, 348, 1701, 269, 8971, 6357, 520, 2583, 284, 3285, 701, 10734, 520, 2583, 263, 3285, 701, 267, 5820, 1070, 5820, 284, 532, 19263, 11723, 0, 1477, 258, 4985, 547, 9226, 6769, 258, 538, 9226, 6085, 3515, 676, 1412, 258, 262, 5897, 258, 476, 272, 269, 11554, 1604, 281, 476, 273, 13819, 267, 1434, 13691, 543, 10856, 630, 31653, 8936, 547, 5985, 2780, 1040, 5897, 258, 476, 273, 269, 12305, 5124, 5752, 1893, 1477, 258, 1524, 5055, 617, 689, 9226, 3820, 7933, 5877, 338, 270, 1477, 258, 2196, 3758, 630, 572, 937, 1039, 547, 2619, 4781, 3418, 258, 2196, 519, 7329, 548, 1982, 5897, 258, 585, 10380, 5528, 585, 5839, 543, 8837, 1294, 6769, 258, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 312, 312, 311, 323, 311, 307, 273, 331, 8566, 326, 5897, 1012, 476, 274, 269, 20929, 585, 9226, 538, 12355, 6769, 1012, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 325, 301, 311, 279, 339, 298, 7224, 345, 293, 271, 261, 4289, 284, 303, 4041, 339, 313, 336, 272, 334, 291, 1602, 327, 4338, 296, 331, 298, 327, 325, 13612, 335, 322, 343, 329, 335, 311, 329, 5353, 305, 273, 345, 1477, 1012, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 329, 342, 332, 308, 6441, 279, 8811, 342, 326, 1477, 1012, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 327, 301, 340, 297, 278, 291, 665, 278, 306, 326, 1477, 1012, 1477, 258, 2296, 3391, 630, 514, 3178, 3418, 258, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 29996, 337, 299, 338, 2420, 300, 6395, 342, 261, 4289, 284, 12195, 345, 18250, 289, 294, 325, 313, 334, 275, 2173, 293, 340, 876, 336, 343, 331, 271, 320, 6858, 305, 327, 329, 329, 313, 329, 274, 329, 311, 332, 261, 8161, 284, 272, 24653, 1012, 476, 275, 269, 13691, 31930, 585, 9517, 4041, 538, 7099, 548, 269, 5897, 258, 476, 276, 269, 7179, 1477, 2745, 2891, 15916, 2622, 10590, 3418, 258, 1205, 3593, 3403, 1210, 3403, 14052, 258, 1820, 2891, 8923, 4283, 1101, 2012, 281, 834, 3418, 258, 2012, 815, 3403, 14052, 258, 1820, 32597, 609, 519, 3593, 2012, 1477, 258, 1820, 3488, 15916, 2073, 3299, 2012, 3418, 258, 1948, 1018, 786, 581, 519, 1739, 3977, 286, 1477, 258, 513, 815, 834, 320, 272, 29177, 258, 536, 815, 834, 321, 272, 29177, 258, 1820, 5416, 17070, 10142, 258, 476, 277, 269, 1239, 2010, 6769, 258, 703, 476, 271, 476, 272, 476, 273, 910, 276, 1477, 258, 1193, 834, 1168, 325, 337, 257, 834, 274, 29177, 258, 10581, 476, 274, 269, 1691, 476, 273, 269, 10170, 1477, 258, 649, 666, 1205, 519, 1826, 540, 513, 4756, 676, 1826, 4971, 1477, 258, 513, 815, 476, 273, 1477, 258, 1193, 272, 815, 834, 273, 29177, 258, 535, 272, 815, 476, 273, 269, 10170, 1477, 258, 1820, 2891, 320, 568, 540, 1826, 2073, 2580, 1826, 5416, 17903, 1012, 1820, 2891, 1598, 272, 568, 540, 1826, 2073, 2580, 1826, 19304, 272, 17903, 258, 1820, 2891, 325, 272, 568, 540, 1826, 2073, 2580, 1826, 6600, 272, 264, 10142, 258, 476, 278, 269, 25159, 20803, 14908, 1422, 3652, 6769, 258, 3112, 1376, 609, 513, 1297, 630, 4754, 1439, 609, 513, 1297, 3418, 258, 2012, 272, 910, 3656, 1477, 258, 476, 272, 4067, 2073, 14255, 803, 910, 711, 3656, 1477, 258, 2013, 2283, 894, 910, 2012, 267, 715, 28719, 2073, 8745, 267, 562, 288, 1889, 616, 782, 1114, 4632, 269, 5897, 24653, 258, 476, 279, 2855, 10379, 6769, 258, 1003, 272, 815, 476, 272, 269, 276, 1477, 258, 1003, 273, 815, 476, 276, 1477, 258, 1820, 16325, 272, 266, 11133, 273, 3418, 258, 1820, 16325, 272, 5991, 636, 273, 3418, 258, 1820, 16325, 272, 265, 11133, 273, 3418, 258, 1820, 16325, 272, 270, 11133, 273, 3418, 258, 1820, 16325, 273, 2878, 476, 273, 264, 1948, 1379, 1477, 258, 1820, 16325, 273, 2878, 476, 274, 3418, 258, 1820, 16325, 273, 2260, 11133, 272, 264, 1948, 703, 851, 540, 1821, 1707, 1477, 258, 1820, 16325, 273, 4939, 1003, 272, 264, 1948, 9074, 5897, 2162, 476, 280, 16213, 1477, 1012, 11133, 272, 815, 3403, 3488, 10938, 1003, 272, 14826, 10807, 1948, 1439, 540, 1899, 676, 1422, 333, 1477, 1012, 11133, 273, 815, 3403, 3488, 10938, 1003, 273, 14826, 20298, 1012, 2745, 16325, 272, 266, 11133, 273, 264, 1948, 1772, 713, 519, 4397, 1267, 286, 1477, 2162, 7392, 540, 3403, 568, 2141, 1193, 267, 1341, 11346, 2164, 538, 6677, 520, 1588, 1477, 2162, 595, 8463, 786, 4194, 713, 6769, 1012, 2745, 263, 15615, 16325, 272, 11924, 15615, 16325, 273, 17903, 2162, 610, 4688, 547, 4756, 1477, 1012, 637, 815, 10581, 16325, 272, 11924, 15615, 16325, 273, 3418, 1012, 2745, 263, 637, 10142, 258, 476, 1015, 269, 17148, 281, 3436, 2999, 2652, 11203, 630, 15927, 3455, 267, 4130, 267, 568, 3160, 267, 568, 711, 3160, 1477, 258, 1820, 263, 1240, 285, 273, 3418, 258, 1820, 263, 1240, 283, 273, 3418, 258, 1820, 263, 1240, 2525, 273, 264, 1948, 798, 711, 25657, 609, 1412, 284, 8339, 713, 568, 1412, 2525, 262, 1477, 258, 1820, 263, 1240, 256, 284, 273, 3418, 5897, 258, 1948, 952, 3116, 1477, 258, 1003, 815, 3403, 14052, 258, 952, 1003, 3436, 476, 271, 6769, 258, 672, 1820, 2891, 27168, 14744, 258, 3116, 6769, 258, 672, 1820, 2891, 2254, 2318, 8442, 476, 1948, 1946, 711, 2942, 286, 5897, 258, 14581, 630, 1345, 7084, 3418, 258, 476, 272, 269, 12305, 9226, 1477, 258, 476, 273, 269, 14840, 1101, 1982, 602, 1820, 834, 15916, 2622, 10590, 593, 5496, 23228, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 18143, 17270, 538, 5124, 594, 692, 258, 2999, 256, 734, 2878, 5575, 267, 519, 6167, 21197, 3848, 781, 4161, 2243, 256, 12533, 258, 18889, 321, 1662, 454, 258, 1265, 1547, 910, 6943, 535, 910, 1410, 1815, 561, 338, 910, 338, 15079, 31046, 1923, 4990, 910, 333, 1923, 2212, 910, 1015, 454, 258, 476, 8199, 258, 2608, 1432, 568, 519, 4971, 3257, 286, 1215, 814, 621, 1044, 3710, 630, 1410, 21622, 519, 3334, 21663, 265, 25341, 692, 258, 12361, 4985, 454, 258, 3097, 258, 5124, 568, 513, 2413, 267, 2653, 3562, 2914, 1679, 267, 14648, 630, 9895, 328, 16327, 6150, 264, 476, 5752, 1893, 602, 729, 22885, 609, 31824, 540, 3009, 538, 2247, 269, 898, 814, 513, 3875, 540, 4183, 11656, 15004, 602, 666, 581, 1031, 585, 513, 2647, 3099, 540, 6211, 3156, 543, 9382, 780, 258, 634, 1079, 5124, 11271, 540, 634, 300, 592, 5226, 320, 27807, 616, 5497, 547, 4001, 596, 3621, 5752, 538, 7350, 1210, 5124, 269, 21661, 1312, 891, 11271, 267, 596, 786, 1451, 912, 258, 3097, 258, 2608, 17943, 540, 5124, 16105, 543, 1239, 3889, 454, 258, 3097, 258, 2608, 5124, 781, 1843, 15129, 2934, 454, 258, 3097, 258, 2608, 4804, 547, 946, 519, 2387, 760, 3155, 319, 1604, 454, 258, 3097, 258, 2608, 1215, 547, 2328, 543, 2196, 9226, 3009, 454, 258, 3097, 258, 2608, 13760, 543, 2936, 5124, 1852, 2095, 2645, 454, 258, 3097, 258, 2608, 5675, 267, 3181, 19982, 267, 1210, 267, 543, 4152, 5124, 3252, 454, 258, 3097, 258, 2608, 4804, 3608, 10230, 5752, 538, 5124, 454, 258, 3097, 258, 2608, 4635, 2834, 7215, 538, 5124, 454, 258, 3097, 258, 2608, 4985, 547, 3226, 3730, 5124, 15004, 454, 258, 3097, 258, 2608, 4635, 5124, 547, 2196, 824, 267, 1875, 1790, 3155, 4247, 543, 3009, 454, 258, 3097, 258, 2608, 4635, 5124, 547, 15429, 1927, 1239, 2079, 543, 5924, 10230, 11191, 960, 8928, 692, 258, 630, 4962, 6261, 3155, 318, 296, 281, 3963, 1790, 3155, 6661, 454, 258, 12693, 4208, 5124, 888, 258, 3097, 258, 5124, 729, 2966, 609, 31824, 543, 556, 268, 639, 1464, 538, 2247, 269, 5384, 3144, 676, 5752, 1341, 3181, 19982, 1341, 4881, 568, 2693, 547, 581, 5266, 2539, 538, 9226, 982, 1447, 16022, 610, 804, 18636, 1229, 4654, 630, 324, 3052, 1421, 11123, 15045, 3198, 267, 3131, 331, 1040, 3097, 258, 3097, 258, 5124, 568, 513, 7168, 1434, 3070, 952, 596, 1616, 547, 3362, 2328, 28505, 3009, 602, 568, 849, 21230, 3608, 1939, 14260, 630, 5408, 519, 4137, 2630, 1040, 3097, 258, 3097, 258, 4534, 8894, 258, 2433, 15311, 346, 29664, 2173, 323, 8679, 258, 2999, 19112, 521, 21683, 284, 2668, 270, 23054, 923, 11486, 26067, 12201, 4732, 341, 326, 257, 5621, 6889, 23458, 11250, 257, 8700, 6889, 10384, 29210, 257, 11417, 258, 3097, 258, 2878, 23911, 781, 10230, 7384, 2773, 3379, 547, 930, 1866, 1262, 269, 9540, 518, 2338, 616, 1732, 269, 8074, 602, 519, 586, 14289, 568, 538, 4399, 8421, 3709, 1015, 4151, 4336, 269, 2999, 1962, 11417, 258, 630, 13126, 281, 2999, 10674, 2517, 329, 592, 658, 836, 3820, 270, 285, 994, 258, 3097, 258, 26012, 912, 258, 3097, 258, 4534, 7042, 258, 12693, 5124, 8747, 3097, 258, 3097, 258, 1284, 786, 946, 9226, 476, 274, 269, 1809, 1034, 540, 519, 3009, 538, 519, 5124, 11271, 786, 960, 538, 9226, 476, 273, 269, 278, 11859, 343, 607, 1134, 269, 1403, 596, 616, 5461, 538, 519, 9226, 476, 273, 5288, 476, 274, 1686, 267, 1496, 1348, 713, 28488, 10059, 2517, 342, 5942, 4877, 3155, 3820, 8276, 7765, 18025, 3155, 273, 528, 23911, 274, 6393, 258, 769, 314, 9948, 1384, 19638, 258, 630, 4962, 6261, 3155, 318, 296, 281, 5278, 268, 32558, 1108, 6661, 454, 258, 12693, 2368, 16166, 3097, 258, 3097 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 268, 853, 6729, 13347, 1315, 6226, 24304, 18063, 267, 1519, 7054, 761, 762, 14332, 601, 15540, 563, 5353, 1597, 11150, 1280, 6356, 1947, 18601, 31421, 10263, 769, 634, 31071, 454, 296, 3913, 1681, 519, 14156, 6354, 11494, 2937, 4439, 569, 538, 519, 9036, 4465, 1406, 948, 267, 543, 786, 3274, 1267, 538, 519, 19838, 2958, 1190, 2623, 11173, 269, 2755, 1463, 30925, 540, 519, 1268, 11648, 596, 568, 711, 2141, 2009, 267, 2500, 267, 610, 1256, 5227, 267, 952, 519, 3510, 568, 711, 9619, 538, 930, 6073, 519, 4439, 569, 786, 3274, 3136, 547, 957, 856, 538, 606, 14156, 10728, 6073, 267, 547, 519, 1033, 337, 2939, 540, 782, 7255, 269, 1403, 596, 616, 606, 2523, 6213, 1268, 267, 596, 949, 1256, 1831, 9308, 2192, 543, 5924, 19060, 547, 16718, 707, 2816, 547, 1205, 2476, 689, 519, 5739, 2623, 269, 5502, 267, 2119, 891, 5722, 2994, 594, 2966, 602, 723, 5280, 1082, 540, 1250, 3797, 543, 18006, 7218, 6707, 2322, 543, 1439, 547, 11648, 2623, 4810, 693, 960, 912, 268, 17607, 568, 519, 1101, 1900, 269, 31158, 1578, 602, 596, 949, 581, 519, 6408, 540, 9036, 11648, 543, 602, 596, 949, 991, 948, 543, 1489, 689, 1866, 547, 6582, 585, 606, 6304, 540, 930, 2186, 547, 1439, 891, 2942, 15377, 563, 268, 7464, 1125, 602, 14156, 6354, 11494, 11648, 568, 3006, 711, 6654, 547, 1866, 952, 596, 616, 519, 835, 1373, 4481, 6098, 269, 901, 568, 1946, 621, 568, 2523, 2565, 602, 596, 3561, 519, 11648, 2623, 607, 1134, 607, 596, 666, 538, 2013, 596, 991, 547, 979, 547, 2362, 2157, 540, 6392, 585, 948, 267, 971, 607, 1480, 2200, 610, 606, 3617, 6392, 4137, 269, 4495, 596, 723, 4080, 519, 11648, 267, 621, 568, 741, 2816, 547, 4217, 596, 538, 4466, 3435, 547, 1018, 1223, 581, 513, 1950, 3510, 630, 324, 3052, 1421, 519, 4439, 569, 568, 707, 20148, 5148, 952, 519, 6392, 4137, 596, 1935, 3081, 602, 789, 3112, 948, 596, 267, 2307, 873, 945, 666, 269, 1684, 711, 3398, 2048, 296, 1810, 1406, 917, 685, 585, 606, 2626, 269, 1411, 12582, 1406, 723, 547, 6023, 713, 593, 707, 1378, 563, 268, 3657, 972, 1004, 1472, 596, 693, 960, 945, 7198, 519, 14156, 6354, 11494, 4439, 569, 2502, 538, 20025, 2623, 267, 971, 607, 3771, 23035, 596, 610, 8380, 596, 1524, 286, 6333, 6998, 873, 547, 957, 607, 707, 7198, 269, 9105, 952, 789, 616, 8348, 547, 3561, 1018, 789, 7747, 538, 2013, 596, 798, 6430, 547, 3343, 948, 689, 1346, 538, 513, 2990, 547, 26544, 563, 268, 24793, 519, 2856, 602, 596, 1705, 1945, 547, 17330, 713, 4057, 2126, 269, 32313, 958, 6354, 11494, 13032, 625, 1419, 3077, 6213, 267, 2186, 267, 26003, 545, 267, 543, 5363, 1004, 269, 3816, 785, 3054, 602, 596, 1705, 4986, 547, 2014, 519, 11648, 267, 543, 596, 666, 1406, 1852, 519, 4439, 569, 779, 2623, 269, 7439, 568, 621, 2693, 602, 596, 786, 581, 2111, 547, 2322, 513, 3247, 547, 519, 10728, 2623, 593, 707, 1378, 267, 610, 602, 519, 4439, 569, 786, 1175, 3247, 835, 1554, 1510, 6304, 269, 5192, 948, 607, 4166, 607, 2009, 563, 268, 25506, 543, 3398, 602, 596, 666, 711, 2048, 15276, 685, 519, 4439, 569, 547, 1831, 513, 10257, 267, 8799, 267, 6213, 267, 543, 12391, 1268, 269, 5457, 267, 1256, 16887, 8036, 543, 13931, 7067, 4648, 616, 13934, 547, 948, 891, 2010, 540, 14156, 6354, 11494, 543, 10728, 2043, 563, 268, 32341, 952, 596, 616, 909, 547, 29270, 519, 1268, 11648, 596, 1107, 855, 2760, 13720, 1510, 513, 7198, 28560, 596, 6430, 602, 596, 1131, 899, 547, 2047, 2232, 519, 3510, 543, 13720, 519, 1268, 596, 616, 2348, 7411, 609, 267, 621, 568, 16122, 602, 596, 798, 865, 609, 519, 1489, 540, 606, 3617, 3791, 5428, 6392, 4137, 693, 960, 1107, 23883, 952, 519, 4439, 569, 568, 707, 20148, 267, 610, 513, 2319, 4759, 596, 1590, 960, 609, 5781, 269, 1684, 711, 2479, 3801, 547, 13720, 519, 4439, 569, 593, 707, 1378, 2336, 268, 1403, 596, 2461, 711, 3478, 519, 1489, 596, 991, 689, 606, 3617, 6392, 4137, 693, 960, 267, 2015, 7487, 513, 13309, 267, 1272, 16455, 267, 610, 7694, 22639, 945, 24870, 538, 11648, 538, 519, 9036, 585, 2417, 10372, 543, 2093, 269, 1411, 1058, 711, 2479, 723, 547, 16718, 707, 2816, 538, 1931, 547, 9101, 1373, 13032, 1221, 538, 519, 9036, 269, 1403, 596, 6430, 547, 960, 609, 513, 13309, 267, 24468, 267, 610, 16455, 267, 1118, 2386, 789, 723, 513, 1434, 1620, 540, 10721, 1949, 543, 723, 1995, 538, 4543, 1004, 2232, 9036, 11648, 543, 7988, 325, 15635, 1049, 10721, 6384, 563, 296, 6573, 18306, 19611, 10691, 292, 281, 769, 3665, 2665, 267, 596, 949, 1745, 596, 723, 1100, 3903, 855, 547, 16718, 707, 2816, 952, 3617, 948, 689, 606, 6392, 5515, 568, 711, 2139, 269, 4014, 1100, 1533, 814, 607, 540, 2943, 5293, 606, 4550, 1532, 592, 2391, 1876, 267, 602, 3085, 1406, 1611, 11648, 568, 3656, 538, 1169, 3510, 269, 4475, 267, 1991, 547, 29655, 707, 2816, 1813, 547, 18825, 3116, 779, 20025, 267, 6354, 11494, 267, 543, 7654, 1256, 29880, 2623, 267, 596, 1522, 2015, 32296, 634, 2136, 2276, 4972, 540, 8534, 27706, 8881, 1299, 2657, 10029, 630, 5308, 11190, 264, 543, 5924, 513, 2199, 8534, 543, 25477, 30374, 547, 1265, 856, 952, 519, 2186, 540, 11648, 596, 616, 7680, 568, 10363, 1813, 547, 3423, 908, 5313, 610, 1533, 4031, 10238, 1746, 7130, 543, 18275, 563, 5278, 15937, 32438, 454, 291, 17805, 532, 568, 2565, 2336, 15371, 596, 616, 519, 835, 1969, 532, 538, 1952, 10187, 2299, 609, 1866, 538, 519, 9036, 610, 519, 835, 1373, 14156, 543, 15508, 2800, 539, 676, 2576, 3116, 779, 11648, 2623, 267, 621, 568, 1271, 547, 5431, 1018, 568, 2965, 8345, 543, 1491, 3268, 547, 3247, 621, 269, 1403, 711, 267, 519, 11605, 995, 6384, 786, 3136, 547, 535, 6856, 543, 1332, 267, 7133, 519, 3929, 543, 5310, 1256, 519, 2168, 1134, 1373, 540, 4896, 945, 1590, 723, 13455, 543, 7368, 3346, 609, 606, 14156, 10728, 11648, 7209, 267, 607, 1134, 607, 11874, 18363, 519, 2949, 7607, 540, 519, 5604, 563, 8855, 267, 519, 6392, 596, 3343, 856, 585, 6351, 538, 10678, 519, 11648, 786, 4096, 593, 707, 1880, 3510, 269, 6744, 547, 1294, 952, 972, 568, 606, 31287, 18361, 269, 898, 568, 519, 5274, 8249, 8257, 2816, 547, 2697, 519, 1655, 1268, 693, 707, 9036, 547, 948, 596, 2322, 606, 1439, 547, 519, 14156, 6354, 11494, 4439, 569, 779, 16160, 543, 6757, 5615, 267, 543, 547, 26544, 593, 707, 630, 663, 1866, 264, 15773, 267, 952, 11562, 5896, 563, 3725, 28136, 595, 269, 13495, 5271, 4068, 267, 10790, 267, 568, 513, 13931, 5369, 6139, 1905, 626, 267, 17992, 1049, 5020, 3213, 778, 267, 8191, 267, 543, 5449, 4400, 6874, 3663, 15445, 25477, 13693, 656, 269, 1411, 666, 1451, 811, 827, 1200, 2048, 2662, 1961, 12287, 8730, 2048, 2662, 1961, 5020, 685, 3213, 2286, 2259, 676, 9683, 1200, 693, 20456, 10403, 12389, 269, 0, 6624, 14912, 3756, 616, 4956, 593, 2436, 513, 2319, 786, 3094, 610, 6336, 676, 875, 1134, 789, 1685, 693, 519, 1863, 12235, 1899, 269, 589, 1863, 12235, 568, 519, 1152, 942, 1141, 519, 3014, 568, 1373, 1404, 543, 519, 9219, 568, 11074, 267, 5716, 3247, 267, 543, 519, 3440, 568, 538, 606, 1367, 779, 1688, 267, 609, 873, 543, 519, 11127, 269, 4595, 972, 616, 1100, 9718, 619, 3843, 547, 3625, 610, 7369, 741, 8929, 1034, 19393, 543, 4715, 2209, 4898, 1018, 2306, 2576, 4413, 513, 1863, 12235, 269, 3194, 3332, 2982, 602, 1312, 5626, 543, 2168, 2188, 1404, 513, 1909, 269, 3509, 9845, 723, 513, 1114, 1259, 540, 16042, 519, 1899, 267, 855, 3494, 602, 6111, 666, 4268, 4470, 593, 519, 3510, 269, 589, 1268, 949, 1685, 1134, 593, 1863, 25001, 1282, 513, 3014, 1141, 741, 2773, 3085, 1406, 3313, 519, 6364, 540, 519, 3014, 267, 855, 950, 519, 6364, 568, 4956, 593, 741, 2773, 789, 4043, 547, 711, 1685, 1134, 269, 1703, 723, 1044, 513, 2603, 540, 2090, 593, 1018, 2306, 513, 1268, 968, 577, 5803, 892, 950, 15246, 513, 1863, 12235, 693, 519, 1439, 540, 3014, 3871, 267, 855, 972, 616, 711, 513, 2603, 540, 2090, 593, 2436, 519, 946, 540, 11052, 666, 948, 513, 6345, 1745, 1447, 2604, 693, 519, 1899, 563, 7197, 540, 519, 2090, 5342, 1397, 1310, 476, 736, 268, 1789, 1296, 540, 1382, 602, 1210, 11052, 1223, 948, 2087, 1863, 12235, 2773, 269, 1924, 1946, 5749, 1406, 811, 19393, 543, 5716, 7598, 891, 883, 741, 2259, 610, 1863, 12235, 6296, 1354, 2921, 519, 8929, 286, 2368, 949, 6157, 946, 11052, 1354, 789, 1685, 741, 1863, 12235, 630, 328, 4318, 269, 2921, 513, 2620, 13236, 543, 17938, 2718, 1247, 6031, 513, 2318, 2262, 547, 2933, 1070, 855, 4715, 2209, 267, 5716, 267, 543, 19393, 616, 1869, 7487, 5716, 4413, 1863, 25001, 1169, 3014, 950, 789, 917, 602, 789, 666, 1118, 873, 9985, 5386, 538, 2259, 269, 1924, 3173, 723, 6743, 883, 1946, 5716, 4413, 1863, 25001, 267, 2523, 950, 519, 3014, 568, 593, 519, 1899, 563, 5278, 19393, 610, 6887, 946, 2994, 547, 2333, 2773, 269, 7324, 891, 616, 2010, 540, 11052, 269, 12824, 723, 13986, 547, 3313, 799, 2010, 540, 11052, 616, 1034, 2500, 547, 946, 538, 5026, 547, 948, 2087, 2773, 269, 22569, 2044, 568, 3843, 547, 1265, 922, 1259, 547, 581, 3238, 538, 519, 1169, 1554, 1158, 540, 5026, 543, 3173, 723, 6594, 713, 2259, 585, 1082, 1296, 547, 948, 1004, 1174, 519, 1082, 3029, 11052, 666, 581, 13736, 269, 1703, 616, 1896, 2010, 540, 11052, 602, 1223, 581, 4294, 4724, 5355, 1863, 12235, 15246, 2773, 269, 8065, 543, 8210, 742, 1889, 9807, 630, 2735, 274, 264, 8045, 513, 1826, 540, 11052, 1572, 966, 11586, 305, 630, 6665, 340, 334, 2173, 19318, 2623, 31667, 531, 1040, 901, 4480, 5161, 540, 513, 11005, 5123, 267, 3308, 1944, 2773, 1282, 513, 17173, 3510, 267, 543, 2965, 7900, 519, 5578, 1282, 513, 17173, 3510, 269, 769, 8065, 543, 8210, 742, 1889, 9807, 779, 1353, 267, 789, 1185, 835, 1895, 630, 7224, 9781, 264, 1685, 11005, 543, 3308, 11052, 267, 1247, 519, 824, 1895, 630, 341, 728, 582, 9464, 9781, 264, 4309, 6044, 676, 8384, 513, 8004, 1685, 476, 1015, 1863, 25001, 609, 3501, 1106, 269, 634, 2164, 4951, 602, 519, 966, 11586, 305, 630, 341, 728, 582, 9464, 9781, 264, 1895, 4951, 3648, 2362, 6454, 267, 5111, 476, 280, 260, 2333, 282, 593, 741, 1863, 12235, 2773, 1247, 519, 11005, 630, 7224, 9781, 264, 1862, 0, 29619, 769, 519, 15170, 1158, 267, 9562, 540, 707, 2724, 568, 6417, 676, 6939, 4919, 4357, 10569, 269, 1452, 10569, 616, 1031, 585, 3541, 1516, 707, 8391, 9607, 543, 6038, 585, 7836, 7482, 269, 1280, 6654, 4128, 267, 5150, 4859, 540, 891, 10569, 568, 11613, 2565, 585, 1022, 11670, 3593, 267, 607, 4896, 609, 519, 10569, 666, 1852, 519, 7482, 693, 602, 454, 29619, 11153, 1296, 3516, 1282, 1250, 2038, 3460, 883, 519, 11670, 2230, 267, 594, 4862, 27055, 553, 16653, 641, 9567, 657, 1865, 519, 2856, 540, 18351, 1436, 593, 15608, 15541, 534, 779, 15264, 269, 1261, 729, 31935, 513, 2104, 538, 799, 649, 1100, 3476, 4123, 1286, 10643, 610, 20251, 23339, 998, 2229, 8041, 269, 5502, 267, 649, 1131, 2099, 1346, 7221, 607, 21797, 593, 513, 9893, 563, 29619, 10251, 267, 3006, 11670, 4357, 10569, 616, 4503, 269, 20305, 6861, 530, 24548, 267, 12235, 2476, 2182, 11479, 267, 610, 3274, 2760, 19307, 10569, 538, 519, 1101, 1747, 269, 589, 9583, 6654, 3070, 547, 519, 1966, 540, 513, 4503, 1883, 1522, 581, 547, 2119, 543, 968, 29674, 892, 782, 519, 2009, 10569, 2394, 596, 1265, 519, 835, 602, 796, 331, 4169, 707, 9607, 269, 2290, 454, 29619, 2201, 5239, 476, 4029, 560, 267, 476, 1220, 279, 267, 9045, 25493, 26981, 600, 9369, 1178, 1027, 519, 1158, 609, 1010, 5075, 585, 513, 9263, 3562, 24406, 518, 5907, 6666, 1062, 1572, 11670, 269, 634, 19116, 649, 946, 2221, 3323, 609, 713, 7493, 543, 519, 2093, 8659, 1369, 269, 594, 3810, 4363, 4896, 5461, 538, 11670, 610, 824, 1930, 9893, 3785, 1224, 519, 3312, 17642, 788, 1653, 267, 855, 621, 666, 581, 454, 29619, 634, 4417, 540, 18074, 530, 24548, 814, 1500, 1883, 2359, 513, 2484, 4443, 4305, 585, 15170, 3755, 269, 1452, 968, 295, 1512, 1105, 673, 10318, 514, 2065, 892, 530, 24548, 666, 5352, 606, 12808, 2179, 540, 4357, 10569, 543, 9607, 689 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1001, 275, 4964, 1234, 548, 1162, 454, 288, 14576, 540, 15604, 454, 10214, 538, 519, 476, 2641, 560, 2540, 609, 782, 922, 6639, 8441, 519, 13112, 2456, 540, 519, 4365, 268, 4411, 267, 6632, 267, 2842, 344, 610, 476, 5390, 268, 666, 1860, 721, 782, 538, 5162, 942, 563, 21953, 4952, 875, 1454, 811, 519, 5162, 4365, 1131, 723, 12936, 593, 519, 2729, 540, 938, 11937, 267, 1279, 1354, 519, 4417, 540, 3844, 8022, 267, 5201, 610, 5179, 2213, 3560, 563, 2108, 310, 5793, 729, 513, 9645, 4161, 585, 519, 1004, 540, 8581, 513, 1906, 4627, 1296, 3516, 267, 543, 2943, 607, 7152, 676, 10120, 9721, 6965, 267, 1256, 2016, 519, 10792, 2175, 799, 789, 2933, 5185, 267, 789, 1869, 1185, 1390, 8296, 585, 519, 2831, 543, 5017, 945, 1705, 711, 1256, 723, 519, 12062, 540, 25229, 21747, 8075, 547, 2149, 873, 689, 519, 10792, 5162, 2609, 2223, 24616, 3220, 6970, 527, 337, 6403, 7431, 3331, 497, 1684, 577, 21840, 662, 267, 4972, 540, 7216, 543, 19744, 9721, 267, 772, 6717, 563, 7804, 3331, 497, 1684, 577, 21840, 662, 779, 1382, 2534, 693, 772, 6717, 30211, 593, 10120, 9721, 3332, 609, 513, 1880, 8561, 593, 3909, 5931, 1519, 1821, 10899, 1570, 267, 19001, 267, 1396, 534, 625, 543, 1728, 332, 985, 563, 763, 1257, 2630, 568, 513, 8144, 540, 606, 9721, 6648, 799, 568, 936, 476, 272, 267, 1822, 1296, 2025, 267, 543, 2488, 721, 609, 513, 4605, 540, 5162, 1272, 538, 1346, 1360, 1114, 2053, 269, 634, 6648, 568, 851, 540, 519, 1650, 540, 875, 674, 542, 333, 5839, 595, 636, 3873, 650, 267, 519, 6205, 540, 519, 674, 1014, 3534, 267, 538, 1010, 23279, 30270, 22002, 519, 18798, 4144, 1301, 4660, 543, 6182, 5451, 514, 928, 2066, 519, 9721, 5251, 538, 519, 1647, 540, 5162, 538, 1931, 547, 3169, 1010, 15265, 20947, 269, 634, 8144, 568, 689, 8564, 687, 689, 9147, 9721, 17826, 676, 31311, 334, 2725, 9807, 630, 26780, 267, 476, 4489, 272, 1916, 288, 590, 32670, 5508, 654, 2562, 9898, 454, 290, 1245, 547, 5991, 697, 568, 3376, 631, 1195, 331, 4026, 2676, 295, 27941, 519, 6777, 982, 519, 7823, 24365, 2676, 763, 13650, 3112, 1205, 693, 741, 1426, 563, 290, 1245, 11489, 1684, 558, 2336, 763, 7088, 814, 3262, 936, 782, 912, 288, 5757, 568, 1142, 9663, 992, 2390, 519, 9386, 2676, 10376, 585, 323, 513, 2407, 7535, 563, 288, 1390, 23864, 4262, 568, 1142, 3138, 577, 2676, 288, 2407, 3138, 577, 568, 1142, 7535, 912, 295, 8503, 3112, 1205, 936, 519, 585, 323, 540, 17664, 2676, 5591, 811, 666, 1079, 3952, 1205, 972, 563, 763, 3165, 540, 8581, 616, 513, 268, 549, 5446, 2676, 2467, 568, 1100, 18843, 799, 519, 5951, 1281, 711, 11013, 2676, 8253, 513, 4884, 972, 568, 538, 519, 2244, 2676, 8253, 513, 11350, 568, 4862, 267, 1100, 31219, 12909, 563, 763, 20384, 540, 595, 10224, 2914, 797, 1205, 454, 10468, 2416, 1964, 6862, 3207, 538, 741, 561, 1515, 2676, 763, 2370, 530, 1066, 3112, 1265, 454, 306, 3559, 614, 538, 1200, 9566, 593, 519, 9386, 540, 31701, 563, 298, 8696, 2842, 543, 4411, 4672, 454, 31549, 16802, 2390, 519, 2370, 2754, 540, 5017, 2676, 763, 3109, 12704, 3112, 1205, 513, 682, 324, 547, 1200, 6010, 532, 2676, 306, 3559, 614, 585, 922, 2427, 538, 595, 10224, 2914, 797, 563, 290, 657, 344, 938, 1494, 593, 922, 13622, 2676, 290, 571, 5414, 519, 554, 583, 593, 519, 9386, 540, 31701, 912, 763, 6777, 814, 16760, 519, 3574, 1934, 2676, 2414, 2812, 727, 547, 18214, 909, 5484, 28967, 563, 10908, 3317, 681, 6614, 781, 3504, 6177, 454, 5804, 519, 15280, 2842, 4991, 16236, 3248, 15124, 1200, 3765, 2044, 543, 1200, 1928, 2676, 763, 4672, 786, 1205, 883, 1200, 5023, 563, 5804, 26600, 543, 689, 1524, 547, 4473, 1765, 454, 12648, 621, 547, 2295, 256, 1765, 26200, 1165, 569, 585, 26899, 912, 296, 576, 538, 646, 2355, 593, 1169, 585, 323, 1765, 454, 6546, 568, 1946, 594, 2161, 1412, 322, 1245, 262, 2336, 2252, 596, 1131, 899, 547, 1224, 811, 6965, 899, 713, 267, 519, 2407, 1257, 540, 31311, 334, 2725, 9807, 779, 1433, 666, 581, 1336, 593, 519, 22469, 7913, 19541, 3896, 912, 4517, 2417, 3877, 827, 713, 6648, 666, 581, 1336, 593, 519, 595, 3881, 3896, 281, 0, 6624, 10256, 616, 11821, 543, 18516, 827, 741, 13800, 543, 3681, 950, 606, 6595, 6174, 4485, 563, 763, 10539, 11498, 547, 875, 547, 4431, 693, 6808, 8279, 267, 5180, 629, 8083, 267, 5179, 1811, 1510, 2182, 17525, 267, 21018, 540, 4155, 1141, 16765, 1136, 568, 711, 4847, 543, 5179, 1811, 609, 6595, 16069, 28961, 563, 2080, 779, 513, 2241, 3391, 547, 9363, 2922, 950, 1818, 1259, 585, 606, 6595, 6174, 563, 268, 1403, 596, 5873, 513, 521, 790, 333, 610, 1294, 1166, 4770, 2699, 7146, 15918, 826, 8279, 267, 3251, 9350, 563, 268, 6733, 585, 12341, 2922, 547, 7485, 547, 519, 2451, 543, 267, 952, 2556, 267, 3247, 563, 268, 2201, 519, 1935, 547, 513, 18846, 610, 519, 30160, 540, 513, 14629, 267, 1832, 2469, 543, 7485, 936, 950, 972, 779, 513, 1732, 2070, 6619, 563, 268, 13773, 856, 540, 1668, 28961, 543, 1832, 1055, 23128, 2125, 543, 17362, 906, 543, 1810, 1406, 3247, 2282, 6808, 10195, 563, 268, 1703, 949, 581, 811, 982, 835, 6595, 6174, 267, 865, 2638, 602, 621, 779, 2922, 1354, 11173, 707, 3460, 563, 4263, 6808, 8279, 454, 2304, 6595, 6174, 4465, 1406, 1616, 596, 547, 2322, 3054, 538, 8594, 676, 2469, 998, 513, 2699, 6808, 1769, 269, 23560, 865, 949, 1611, 596, 2461, 8840, 519, 1876, 630, 527, 9775, 689, 1533, 547, 1533, 267, 543, 1256, 952, 621, 568, 4847, 267, 596, 3580, 991, 547, 6961, 596, 1185, 1434, 2601, 547, 11716, 513, 2699, 1769, 264, 543, 24937, 513, 2699, 1769, 2141, 11438, 513, 4110, 540, 1981, 269, 1403, 596, 2461, 1101, 538, 519, 20313, 693, 513, 2699, 1769, 267, 3251, 1141, 596, 616, 267, 543, 4734, 519, 5605, 592, 766, 547, 1265, 922, 1259, 1472, 596, 563, 5649, 811, 281, 3657, 5100, 6517, 2870, 31945, 10256, 888, 305, 895, 629, 8083, 543, 15118, 2388, 454, 2252, 596, 2461, 16042, 513, 5180, 12671, 610, 513, 22882, 543, 596, 1294, 606, 6595, 6174, 609, 922, 2699, 7146, 15918, 826, 8279, 15181, 267, 1413, 693, 922, 2990, 267, 607, 713, 786, 1577, 596, 917, 1141, 621, 6499, 596, 547, 979, 269, 1403, 596, 2461, 2907, 693, 519, 22882, 267, 581, 3461, 543, 7227, 585, 621, 547, 2097, 2250, 269, 1703, 949, 581, 811, 982, 835, 6595, 6174, 16042, 267, 865, 2638, 1354, 3001, 1055, 563, 306, 13521, 3043, 3515, 610, 5595, 3515, 454, 4002, 513, 4155, 609, 513, 4396, 3043, 1899, 1062, 267, 606, 6595, 6174, 786, 4440, 6467, 1055, 922, 521, 790, 333, 630, 24392, 621, 949, 3136, 547, 19334, 922, 2699, 7146, 15918, 826, 8279, 264, 607, 621, 32195, 593, 596, 269, 901, 568, 1317, 16765, 1136, 568, 711, 4847, 543, 568, 22247, 269, 634, 1655, 3364, 585, 596, 547, 798, 568, 1832, 2469, 1107, 693, 519, 3432, 3970, 952, 621, 779, 2922, 1107, 2394, 596, 2461, 2312, 540, 519, 4396, 3043, 3515, 269, 1879, 519, 521, 790, 333, 4422, 593, 1586, 267, 602, 779, 707, 29692, 547, 1577, 519, 6595, 6174, 979, 2250, 563, 300, 19318, 1811, 543, 12242, 31566, 1811, 454, 4002, 5179, 1811, 543, 12242, 31566, 1811, 267, 1847, 547, 519, 2451, 547, 1450, 606, 6595, 6174, 547, 1780, 538, 519, 3544, 26738, 952, 621, 779, 2312, 269, 769, 3500, 543, 19335, 6808, 267, 6595, 6472, 2356, 946, 519, 5179, 3118, 2182, 13105, 267, 865, 596, 1058, 1152, 979, 5196, 519, 2182, 13105, 952, 596, 723, 606, 6595, 540, 707, 1378, 563, 2252, 972, 779, 1100, 2182, 13105, 267, 1118, 1259, 585, 6595, 6472, 676, 2870, 606, 11313, 655, 1120, 1890, 23725, 528, 685, 676, 17444, 607, 2484, 547, 519, 1318, 630, 514, 519, 1318, 1688, 26738, 264, 607, 2009, 610, 519, 2451, 540, 519, 26738, 630, 514, 513, 2451, 1688, 26738, 1040, 1879, 596, 4076, 1577, 606, 6595, 6174, 998, 267, 3251, 1141, 596, 616, 267, 607, 824, 6472, 949, 581, 4947, 998, 563, 4002, 513, 5100, 5179, 3118, 630, 29006, 609, 16841, 26738, 10832, 1070, 835, 610, 811, 28961, 949, 581, 6806, 1317, 540, 606, 10071, 6619, 1107, 596, 3580, 917, 1317, 540, 2699, 2473, 4191, 1657, 519, 31566, 3118, 269, 17073, 6472, 786, 946, 891, 28961, 952, 789, 666, 269, 5901, 856, 540, 891, 2699, 2473, 28961, 1107, 621, 568, 10363, 547, 946, 513, 26738, 6825, 609, 513, 2699, 2473, 269, 1403, 1100, 28961, 2408, 547, 581, 6806, 267, 581, 5423, 547, 948, 1711, 519, 6595, 23725, 528, 563, 268, 13773, 9350, 563, 268, 5269, 513, 1448, 540, 2141, 17655, 6619, 543, 3297, 267, 547, 2285, 3054, 811, 942, 547, 1544, 563, 268, 5213, 1406, 2736, 519, 1876, 610, 1491, 4220, 267, 2705, 5363, 596, 2461, 3843, 547, 581, 563, 268, 17073, 6472, 2097, 538, 782, 5546, 543, 7306, 865, 267, 950, 596, 7485, 936, 543, 1169, 942, 596, 6288, 267, 1118, 2386, 972, 779, 6190, 2230, 585, 1022, 6595, 6174, 547, 1205, 998, 563, 268, 5620, 513, 1434, 1413, 1472, 543, 581, 3222, 540, 1018, 3025, 3116, 568, 3257, 563, 10287, 891, 2241, 4808, 543, 596, 3580, 2569, 1981, 543, 6148, 1256, 948, 4688, 513, 1272, 563, 12441, 596, 917, 519, 3652, 11341, 547, 6595, 6472, 286, 1684, 596, 3006, 1294, 10256, 945, 2408, 547, 581, 21933, 643, 1190, 547, 1346, 3652, 610, 547, 606, 16042, 6595, 6174, 286, 9523, 707, 7422, 538, 519, 8292, 3296, 2630, 563, 1607, 2376, 1101, 7902, 593, 6845, 328, 867, 18182, 9476, 2593, 563, 5649, 811, 281, 3657, 596, 2731, 513, 1434, 9920, 888, 2252, 596, 2972, 938, 1543, 267, 1810, 1406, 1832, 621, 547, 3054, 269, 9523, 938, 1863, 552, 21158, 609, 707, 2828, 543, 5000, 873, 547, 1129, 909, 269, 0, 396, 504, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 454, 11997, 267, 519, 8167, 17095, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 891, 2934, 538, 519, 2551, 786, 7930, 2333, 607, 5481, 1780, 269, 2368, 540, 891, 2934, 949, 979, 547, 30651, 267, 602, 568, 267, 5555, 1491, 936, 519, 17095, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 2551, 630, 2863, 559, 519, 1604, 2242, 1040, 1215, 1281, 3014, 3069, 4283, 883, 713, 563, 3383, 12105, 3069, 568, 1776, 6389, 540, 3498, 585, 1875, 268, 12407, 13011, 2079, 269, 769, 12105, 3014, 3069, 267, 649, 1100, 3476, 1589, 540, 2043, 607, 7446, 2994, 607, 789, 1847, 689, 835, 3014, 547, 1776, 269, 901, 568, 1317, 938, 4690, 616, 1114, 563, 3383, 649, 1631, 2203, 519, 2994, 2933, 607, 4730, 1996, 1142, 824, 269, 1284, 1353, 519, 2242, 538, 3892, 540, 2994, 538, 519, 2551, 607, 519, 5311, 540, 3756, 4652, 9529, 269, 1280, 12105, 3014, 3069, 267, 649, 6338, 513, 1007, 11466, 1523, 267, 1813, 547, 2904, 333, 731, 8055, 630, 2735, 273, 1040, 2843, 504, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 1305, 540, 2994, 267, 538, 930, 1880, 8167, 630, 324, 269, 2843, 510, 3522, 17095, 3522, 13194, 4138, 21170, 16068, 4709, 20977, 13953, 4709, 3741, 540, 12105, 3014, 3069, 616, 1655, 6045, 998, 1806, 563, 306, 5652, 337, 916, 5956, 676, 14236, 519, 2175, 896, 799, 513, 2631, 540, 5126, 268, 25969, 585, 5301, 540, 1010, 1808, 2079, 607, 513, 29916, 547, 2070, 3160, 15523, 540, 2200, 607, 4023, 8259, 4398, 9270, 2303, 6382, 538, 2027, 2665, 2173, 697, 8451, 269, 1261, 12134, 721, 547, 2015, 513, 2551, 538, 799, 2043, 5781, 2743, 1142, 824, 543, 1590, 20476, 664, 936, 2200, 563, 20118, 267, 972, 666, 581, 1082, 6422, 1226, 9902, 6319, 269, 2843, 504, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138, 267, 2016, 4351, 30010, 585, 11012, 7549, 17201, 9841, 7549, 3378, 17095, 31589, 10528, 21162, 17153, 11714, 9924, 4138, 15671, 4814, 9924, 20732, 3264, 13953, 267, 519, 1739, 1079, 17114, 616, 661, 7704, 338, 281, 18564, 602, 11466, 630, 328, 264, 568, 28537, 267, 2094, 519, 3328, 2628, 4752, 2066, 519, 17095, 3522, 7549, 11012, 5284, 371, 9686, 28476, 15800, 15671, 31589, 21660, 18194, 12811, 9841, 15671, 4138 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 835, 28451, 519, 8953, 540, 667, 269, 1403, 519, 561, 2317, 593, 519, 15279, 6782, 568, 2695, 541, 762, 1287, 5858, 595, 666, 581, 16302, 1496, 277, 316, 780, 6624, 723, 7411, 538, 3841, 1746, 26194, 20215, 609, 513, 11826, 3070, 540, 1256, 519, 1101, 561, 2317, 269, 634, 6169, 3340, 1702, 540, 519, 5086, 27485, 538, 513, 12931, 22511, 267, 543, 606, 3498, 540, 519, 25355, 11532, 267, 1312, 540, 799, 1131, 723, 1044, 693, 26194, 20215, 262, 12871, 269, 769, 1840, 267, 2705, 267, 513, 3791, 4105, 1249, 4667, 547, 723, 2097, 2059, 1310, 26194, 20215, 1185, 8977, 539, 519, 6429, 269, 594, 3277, 547, 21482, 573, 2473, 2862, 269, 273, 267, 799, 2829, 602, 519, 2127, 540, 10580, 616, 547, 835, 1776, 607, 616, 519, 10945, 540, 741, 5603, 4394, 269, 634, 6169, 630, 6572, 1460, 264, 540, 713, 5673, 593, 519, 25874, 2553, 540, 661, 644, 2135, 639, 269, 5637, 21482, 573, 543, 5246, 574, 26433, 3651, 519, 5491, 547, 661, 644, 2135, 639, 1496, 278, 780, 763, 835, 7872, 602, 26194, 20215, 6785, 543, 1031, 519, 1505, 540, 25874, 267, 1217, 958, 5310, 267, 6013, 538, 519, 1249, 602, 513, 22301, 689, 1010, 1378, 2540, 267, 12077, 4165, 13023, 517, 267, 5176, 16309, 538, 8159, 519, 1858, 540, 513, 5858, 476, 7742, 1296, 1991, 547, 5246, 574, 26433, 267, 1247, 14139, 606, 25874, 4480, 2147, 547, 602, 540, 661, 644, 2135, 639, 1496, 279, 4940, 1284, 786, 4983, 10580, 543, 824, 1858, 3800, 540, 598, 545, 6810, 538, 3848, 476, 274, 540, 713, 1867, 780, 1103, 5758, 1287, 267, 649, 723, 2938, 602, 519, 16380, 5116, 513, 5230, 16126, 593, 9511, 607, 513, 1267, 540, 741, 5134, 6412, 540, 1297, 269, 16387, 29263, 607, 513, 9015, 547, 713, 1554, 543, 814, 922, 26106, 23702, 25058, 525, 269, 10251, 267, 5858, 30026, 3464, 616, 1869, 1668, 1176, 7722, 538, 606, 7543, 4305, 269, 4634, 519, 1390, 28167, 1019, 30058, 729, 267, 585, 513, 942, 267, 19832, 609, 561, 2317, 25481, 269, 15346, 3805, 1496, 280, 316, 1336, 25780, 540, 7366, 540, 873, 267, 4805, 543, 538, 10659, 609, 824, 5515, 267, 543, 646, 9289, 1018, 1131, 6536, 971, 20174, 547, 606, 834, 684, 28695, 257, 1888, 269, 2986, 1576, 267, 28167, 949, 723, 1185, 7499, 3096, 585, 6272, 267, 855, 649, 1058, 1832, 538, 2247, 849, 602, 519, 2695, 2130, 540, 519, 5858, 729, 711, 513, 25401, 9505, 2013, 538, 1010, 942, 780, 26170, 267, 9511, 267, 950, 21002, 2989, 609, 519, 3652, 540, 4070, 267, 8604, 513, 524, 13246, 727, 1259, 547, 4194, 1978, 2042, 267, 543, 1100, 835, 729, 4397, 547, 4163, 606, 25874, 6169, 547, 922, 31208, 2572, 2711, 3665, 269, 16387, 729, 18808, 922, 1034, 3978, 9514, 538, 519, 14206, 2540, 281, 7064, 547, 918, 4669, 2696, 601, 267, 649, 917, 602, 1022, 9266, 1062, 1590, 581, 18106, 267, 602, 568, 267, 723, 5376, 916, 799, 616, 796, 2889, 15344, 267, 1100, 2339, 519, 3903, 540, 24936, 1682, 780, 8448, 4529, 1185, 25282, 741, 1378, 2081, 540, 7231, 609, 12980, 267, 3352, 1674, 1023, 267, 543, 4052, 2042, 269, 1548, 729, 15877, 729, 519, 2702, 547, 2489, 1125, 1367, 1806, 269, 634, 19635, 7418, 689, 5527, 267, 20770, 267, 10255, 267, 543, 519, 10787, 8109, 4529, 2877, 547, 1265, 513, 1445, 267, 513, 4099, 1472, 799, 789, 1223, 581, 24704, 543, 20902, 269, 1280, 602, 4099, 267, 649, 1631, 2490, 7532, 1189, 267, 1256, 607, 519, 1522, 540, 10504, 17146, 856, 540, 7507, 543, 883, 519, 10806, 540, 5771, 281, 513, 1641, 540, 938, 1985, 3888, 618, 780, 17484, 17084, 454, 272, 269, 14480, 5069, 267, 5261, 17714, 3414, 2637, 3780, 269, 31919, 267, 1715, 3840, 267, 476, 1960, 272, 269, 6032, 269, 1109, 1556, 1700, 1724, 563, 273, 269, 14480, 5069, 267, 6032, 269, 1109, 1724, 268, 1626, 563, 274, 269, 661, 1407, 267, 20999, 1323, 4985, 547, 519, 3778, 540, 9119, 15301, 274, 6113, 1196, 4700, 4591, 339, 267, 1715, 3840, 267, 476, 3422, 280, 269, 533, 269, 1109, 6858, 563, 275, 269, 14480, 5069, 267, 6032, 269, 1109, 736, 1700, 2918, 563, 276, 269, 1261, 987, 267, 7338, 589, 3778, 540, 5259, 9119, 267, 5292, 269, 272, 269, 10228, 267, 5507, 267, 476, 4572, 272, 269, 6032, 269, 476, 12739, 1700, 15433, 563, 277, 269, 14480, 5069, 267, 6032, 269, 1109, 1704, 268, 2420, 563, 278, 269, 1261, 987, 267, 570, 11482, 269, 630, 539, 269, 543, 6037, 1807, 1070, 21482, 573, 267, 519, 774, 597, 10117, 7734, 540, 519, 15689, 269, 667, 1478, 267, 1715, 3840, 267, 476, 4198, 277, 630, 273, 526, 1196, 12175, 6032, 269, 1109, 14138, 1700, 14056, 563, 279, 269, 1261, 987, 267, 3778, 1862, 6032, 269, 1109, 13136, 1700, 18597, 563, 280, 269, 15346, 3805, 267, 30486, 8899, 749, 267, 634, 9119, 540, 4279, 2549, 622, 2720, 269, 667, 1478, 267, 1715, 3840, 267, 476, 3422, 274, 269, 6032, 269, 1109, 3393, 1700, 4366, 269, 0, 1692, 1082, 10945, 568, 21802, 4604, 2496, 7830, 10945, 269, 634, 15438, 1491, 909, 1079, 10945, 269, 1085, 4599, 1076, 3832, 14369, 5206, 281, 476, 5038, 1341, 476, 5392, 1341, 476, 3607, 1341, 476, 1839, 1341, 476, 1626, 1341, 476, 280, 1341, 476, 275, 1341, 476, 272, 630, 279, 9943, 279, 264, 815, 476, 12739, 10945, 476, 2439, 8368, 540, 12937, 692, 3963, 616, 972, 476, 14225, 10945, 593, 513, 21802, 4580, 2496, 1103, 2698, 972, 616, 476, 14225, 10945, 593, 513, 21802, 4580, 269, 901, 568, 519, 2040, 540, 519, 1297, 540, 2009, 7158, 585, 782, 519, 10945, 540, 2450, 476, 272, 9943, 272, 547, 476, 279, 9943, 279, 780, 1692, 1082, 15942, 616, 972, 538, 513, 4009, 2496, 12585, 281, 589, 4009, 814, 476, 275, 5011, 269, 589, 4009, 814, 2185, 15174, 543, 782, 519, 5011, 540, 513, 4009, 616, 3160, 538, 3259, 780, 1692, 1082, 10945, 540, 782, 7306, 616, 538, 513, 476, 1321, 9943, 1321, 21802, 4580, 2496, 263, 514, 2698, 476, 14225, 6393, 1692, 1082, 10945, 616, 593, 513, 476, 279, 9943, 279, 21802, 4580, 2496, 763, 2626, 540, 476, 5038, 10945, 630, 279, 9943, 279, 1070, 568, 9985, 4570, 267, 855, 972, 568, 849, 606, 4244, 2626, 952, 649, 1293, 519, 10945, 540, 1114, 7306, 267, 711, 1175, 519, 1367, 10945, 780, 1432, 568, 519, 2450, 540, 623, 8976, 4282, 2496, 2252, 596, 616, 2870, 513, 9208, 6571, 4282, 267, 3442, 476, 9083, 275, 1535, 476, 278, 6924, 19641, 607, 519, 7516, 269, 2201, 519, 824, 1688, 267, 3442, 476, 15793, 276, 1535, 476, 278, 6924, 19641, 585, 654, 1938, 10547, 10080, 780, 1692, 1082, 10945, 616, 593, 513, 21802, 4604, 952, 621, 568, 1500, 909, 540, 476, 1321, 9943, 1321, 3079, 540, 476, 279, 9943, 279, 2496, 2467, 616, 476, 280, 290, 273, 8424, 540, 8880, 3515, 596, 666, 4584, 630, 3607, 3982, 8424, 1070, 543, 519, 1482, 1297, 540, 7299, 8424, 267, 865, 519, 2626, 568, 476, 3607, 9943, 3607, 284, 272, 267, 30640, 780, 1692, 1082, 10945, 540, 782, 7306, 616, 538, 513, 476, 1015, 9943, 1015, 2638, 518, 4580, 2496, 763, 2626, 568, 476, 14225, 10945, 269, 901, 568, 1317, 596, 723, 547, 5173, 875, 1082, 476, 272, 1535, 476, 272, 10945, 267, 476, 273, 1535, 476, 273, 4009, 267, 476, 274, 1535, 476, 274, 10945, 543, 865, 593, 602, 616, 593, 519, 21802, 4580, 269, 1452, 2338, 1439, 909, 1373, 519, 4009, 2338, 281, 476, 5038, 267, 476, 5392, 267, 476, 3607, 267, 476, 1839, 267, 476, 1626, 267, 476, 280, 267, 476, 275, 267, 476, 272, 269, 1452, 3773, 1927, 11224, 476, 14225, 780, 1692, 1082, 10945, 616, 538, 513, 476, 280, 9943, 280, 7470, 2496, 288, 14181, 18602, 11015, 5161, 540, 513, 476, 280, 9943, 280, 7470, 540, 10945, 267, 7745, 909, 883, 513, 476, 274, 9943, 274, 7470, 540, 7161, 1500, 909, 540, 8370, 10945, 1142, 269, 634, 3804, 540, 513, 11015, 568, 547, 3514, 519, 2338, 476, 272, 998, 476, 280, 883, 1142, 540, 519, 476, 10037, 10945, 540, 519, 7470, 865, 602, 1142, 4737, 267, 6241, 267, 543, 3625, 814, 4010, 835, 540, 1142, 1297, 780, 1692, 1082, 4009, 798, 596, 1294, 538, 713, 3239, 2496, 763, 2953, 2626, 547, 519, 11015, 568, 476, 2412, 10945, 269, 2334, 779, 1318, 281, 898, 779, 711, 476, 279, 267, 476, 1626, 267, 476, 2190, 267, 476, 2764, 610, 476, 1789, 267, 543, 649, 3580, 2995, 596, 1946, 269, 634, 3239, 568, 1500, 909, 540, 5216, 6263, 10945, 267, 476, 1240, 2582, 10945, 267, 8370, 476, 273, 1535, 476, 273, 10945, 267, 2185, 476, 274, 1535, 476, 274, 10945, 267, 543, 835, 476, 275, 1535, 476, 275, 4009, 780, 1692, 798, 596, 4336, 513, 4282, 538, 17948, 2496, 12812, 2048, 17637, 685, 543, 2824, 2048, 20228, 728, 2450, 685, 689, 519, 10624, 269, 8074, 281, 1403, 596, 2461, 1210, 606, 4587, 4528, 540, 17948, 267, 519, 2048, 20228, 728, 2450, 685, 4781, 949, 581, 896, 2048, 17273, 20233, 719, 685, 3079, 269, 8564, 2048, 20578, 22391, 12025, 685, 547, 1930, 519, 3681, 538, 513, 1402, 5346, 6885, 269, 8437, 2048, 10498, 685, 547, 4688, 707, 2688, 7516, 780, 1692, 798, 594, 1711, 1250, 1378, 17948, 4282, 2496, 2521, 621, 2439, 272, 269, 8564, 519, 13472, 596, 1616, 547, 1039, 513, 4282, 4605, 547, 563, 273, 269, 8564, 5071, 3436, 14474, 17461, 563, 274, 269, 769, 519, 14474, 17461, 533, 2033, 267, 2824, 16514, 610, 9403, 6445, 563, 275, 269, 8564, 11711, 563, 276, 269, 769, 519, 23453, 16514, 13972, 4216, 267, 3442, 519, 4605, 596, 1616, 547, 946, 543, 1287, 2824, 23453, 780, 1692, 798, 594, 1118, 17948, 15942, 12384, 2496, 2414, 1689, 519, 13472, 2450, 1384, 272, 269, 8564, 519, 5071, 9184, 540, 519, 1907, 8663, 26781, 563, 273, 269, 8564, 8525, 5590, 1575, 593, 519, 2451, 1439, 540, 519, 1907, 8663, 563, 274, 269, 769, 519, 8525, 5590, 1575, 13972, 4216, 267, 896, 6215, 1938, 21092, 585, 267, 3442, 519, 30966, 2450, 596, 1616, 267, 610, 3442, 11426, 543, 14574, 519, 7516, 596, 1616, 780, 1692, 1082, 10945, 616, 593, 513, 21802, 4604, 2496, 2414, 979, 609, 519, 2582, 10945, 972, 616, 849, 10945, 540, 476, 273, 9943, 273, 267, 476, 274, 9943, 274, 267, 476, 275, 9943, 275, 543, 865, 593, 909, 2394, 596, 3914, 476, 279, 9943, 279, 630, 1492, 4604, 3294, 568, 513, 4009, 1932, 1040, 2913, 779, 723, 513, 1413, 693, 875, 649, 666, 1293, 891, 10945, 267, 543, 649, 3580, 849, 960, 856, 513, 4542, 547, 581, 2111, 547, 1265, 519, 1297, 540, 10945, 593, 513, 4009, 21802, 4580, 540, 1022, 2450, 780, 1692, 798, 596, 1118, 10945, 519, 1482, 2450, 607, 519, 4604, 2496, 10376, 942, 649, 1039, 835, 547, 519, 2427, 3259, 540, 519, 10945, 267, 519, 4544, 26484, 1858, 602, 741, 15174, 3514, 883, 695, 337, 3855, 676, 835, 538, 1142, 4287, 269, 4475, 972, 616, 281, 1656, 865, 593, 267, 2394, 596, 1205, 547, 519, 3803, 1804, 4009, 519, 1482, 2450, 607, 519, 2898, 4604, 780, 1432, 568, 513, 21802, 4604, 2496, 288, 21802, 4580, 568, 513, 3014, 4604, 602, 568, 1031, 547, 1404, 21802, 267, 593, 799, 21802, 4773, 543, 30392, 985, 616, 5116, 269, 634, 3337, 540, 513, 21802, 4580, 568, 2356, 4009, 799, 814, 606, 20367, 4806, 540, 10945, 538, 1079, 1114, 4778, 630, 18872, 543, 3043, 1040, 769, 7262, 21802, 267, 519, 3337, 540, 519, 4604, 568, 4009, 267, 609, 922, 2427, 1373, 5258, 883, 5216, 2694, 780, 1432, 568, 519, 2698, 1297, 540, 10945, 538, 476, 279, 9343, 2496, 2467, 616, 476, 279, 9343, 543, 1142, 4737, 3568, 476, 279, 10945, 267, 8754, 519, 2698, 1297, 540, 1367, 10945, 568, 476, 279, 1535, 476, 279, 815, 476, 5038, 269, 25478, 519, 2698, 1297, 540, 3677, 10945, 568, 513, 2370, 3787, 811, 7294, 267, 855, 513, 2656, 6516, 786, 1118, 621, 513, 2603, 4443, 269, 0, 258, 2353, 9708, 28562, 2048, 11754, 1007, 11090, 685, 692, 1012, 2983, 2131, 291, 611, 10658, 14794, 540, 519, 10432, 8827, 281, 4856, 4592, 633, 2983, 1188, 334, 29725, 2125, 513, 674, 775, 692, 17357, 4592, 633, 2983, 1188, 334, 29725, 2125, 513, 674, 775, 4534, 610, 267, 538, 1034, 13366, 267, 10523, 3843, 13718, 2710, 596, 5873, 602, 3280, 286, 8786, 267, 621, 779, 519, 6263, 267, 1164, 1790, 17097, 3458, 5446, 540, 938, 15210, 2370, 5869, 4856, 4592, 633 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 693, 23041, 4308, 619, 267, 5740, 7685, 267, 2679, 3761, 8637, 267, 3049, 543, 4677, 3761, 8637, 267, 543, 930, 10958, 23335, 23924, 563, 763, 1699, 772, 2529, 269, 3747, 585, 10821, 3574, 26005, 568, 827, 476, 273, 2929, 9748, 513, 1032, 267, 799, 1226, 919, 547, 513, 5223, 540, 827, 476, 2568, 260, 540, 2504, 4390, 10057, 29143, 1227, 538, 476, 2412, 1790, 895, 11435, 543, 519, 6967, 476, 2412, 2600, 29633, 267, 2687, 547, 7605, 16026, 267, 11206, 6052, 7010, 543, 5449, 7022, 540, 519, 19994, 2280, 17540, 1564, 4659, 269, 13575, 6340, 267, 3574, 26005, 616, 2356, 26437, 538, 476, 1015, 11013, 11435, 543, 4421, 676, 519, 9126, 610, 676, 519, 9522, 630, 2004, 11435, 593, 513, 11288, 5493, 2280, 1040, 2368, 3574, 10652, 2280, 14200, 2709, 476, 736, 11013, 11435, 585, 4443, 7829, 563, 24841, 19994, 7410, 13870, 1299, 29283, 538, 3013, 454, 24841, 10652, 2280, 814, 1044, 1031, 607, 8022, 4492, 585, 936, 476, 1789, 1296, 538, 519, 1454, 21617, 1715, 4789, 3557, 543, 519, 7414, 19566, 269, 769, 2487, 1296, 267, 3574, 26005, 723, 849, 1831, 2442, 538, 519, 25878, 2136, 2276, 267, 5631, 1317, 540, 519, 1739, 4128, 281, 519, 865, 2130, 3902, 540, 5277, 4412, 2033, 267, 19386, 267, 5755, 543, 2067, 3154, 5818, 6455, 540, 1312, 3574, 26005, 543, 10652, 2280, 8781, 14233, 269, 8033, 4240, 2362, 3282, 5777, 616, 3743, 585, 519, 2208, 540, 26005, 6455, 607, 4357, 1753, 5411, 538, 519, 1715, 4789, 2276, 1413, 585, 513, 811, 22237, 1259, 547, 3002, 741, 5321, 269, 1656, 717, 4932, 4596, 814, 29633, 1082, 3574, 10652, 2280, 14200, 1312, 585, 10821, 946, 543, 5010, 3096, 547, 519, 7330, 269, 3013, 568, 849, 513, 1804, 3574, 10652, 2280, 4492, 10672, 267, 543, 621, 18666, 1804, 4320, 540, 3574, 26005, 547, 519, 2136, 8003, 543, 824, 3864, 2477, 269, 12989, 568, 519, 3574, 26005, 18666, 5750, 540, 2136, 2276, 2687, 547, 519, 674, 3008, 6820, 16581, 11780, 3590, 563, 24841, 19994, 2280, 23556, 779, 10866, 11621, 454, 1103, 476, 1001, 276, 267, 519, 16501, 21560, 519, 2773, 540, 1312, 10652, 2280, 588, 7174, 543, 10652, 2280, 10173, 269, 901, 1797, 811, 5812, 267, 6325, 543, 1164, 2298, 4492, 26005, 538, 11435, 609, 519, 1007, 21668, 296, 28439, 2298, 1665, 267, 855, 711, 782, 26005, 4867, 6035, 585, 9042, 786, 20618, 269, 8738, 940, 1875, 6261, 293, 296, 3446, 26005, 949, 20704, 519, 15549, 344, 538, 1082, 588, 7174, 269, 4475, 267, 596, 8910, 1732, 917, 519, 21668, 296, 10652, 2280, 4492, 4441, 1134, 563, 1103, 476, 1960, 276, 519, 19994, 2280, 17540, 1564, 4659, 630, 303, 293, 296, 264, 3964, 3084, 4441, 585, 10821, 10652, 2280, 4492, 630, 637, 7808, 10652, 2280, 4492, 3044, 1040, 901, 3044, 568, 1152, 606, 796, 334, 24810, 1875, 1532, 4193, 16252, 269, 23556, 2298, 13995, 568, 519, 5539, 540, 519, 10652, 2280, 10672, 269, 5565, 4492, 9344, 723, 1044, 3989, 267, 14167, 3446, 10652, 2280, 543, 3044, 3446, 10652, 2280, 563, 24092, 3446, 10652, 2280, 4492, 630, 1575, 547, 476, 274, 260, 11849, 1543, 264, 568, 2356, 6508, 689, 2326, 799, 1267, 538, 811, 15895, 11849, 267, 971, 607, 4718, 706, 560, 5627, 3529, 13626, 630, 6518, 3568, 811, 23606, 264, 610, 6694, 22016, 899, 2428, 26083, 338, 269, 9208, 26005, 1058, 1152, 581, 1031, 538, 588, 7174, 11280, 585, 741, 946, 563, 7093, 26606, 3446, 10652, 2280, 4492, 630, 1652, 982, 476, 272, 260, 11849, 1543, 264, 568, 2356, 3812, 689, 2182, 6229, 610, 2571, 6229, 4718, 706, 560, 5627, 1100, 3529, 13626, 269, 901, 1797, 513, 28555, 267, 811, 3608, 6633, 267, 799, 849, 1797, 1447, 3574, 26005, 14616, 267, 7864, 3574, 26005, 12349, 267, 1447, 2230, 2877, 585, 4859, 267, 7864, 15143, 547, 519, 3574, 10652, 2280, 5577, 704, 543, 1447, 3653, 547, 2973, 909, 269, 12891, 1543, 11887, 4492, 3446, 1317, 540, 922, 1909, 538, 5826, 4908, 269, 898, 568, 519, 6305, 3815, 602, 11887, 5826, 4908, 540, 11849, 8851, 689, 519, 27115, 543, 5887, 532, 1062, 269, 23556, 3446, 543, 1808, 11849, 1543, 1369, 513, 4492, 3446, 616, 1869, 547, 581, 2808, 267, 855, 8441, 538, 10652, 2280, 23041, 2029, 616, 1818, 4492, 3903, 9962, 543, 4443, 269, 634, 2450, 540, 519, 11849, 2721, 518, 267, 4492, 3049, 543, 16416, 1374, 267, 1697, 5887, 532, 267, 2953, 5106, 543, 5826, 782, 1404, 513, 851, 538, 5826, 4908, 563, 25238, 3554, 2678, 1475, 21920, 1475, 291, 3748, 1475, 2026, 327, 12474, 1475, 293, 1149, 9638, 23035, 998, 606, 476, 272, 270, 279, 892, 5496, 10534, 2419, 3271, 1938, 2008, 347, 7093, 26606, 19994, 2280, 1475, 277, 268, 279, 7825, 1475, 19749, 353, 4343, 7825, 1475, 19749, 354, 25953, 11899, 8276, 23326, 263, 2412, 756, 338, 270, 1111, 476, 23326, 10534, 283, 272, 260, 1475, 283, 271, 269, 276, 260, 540, 2597, 1475, 283, 4968, 851, 829, 2929, 2008, 347, 24092, 19994, 2280, 1475, 277, 268, 279, 7825, 1475, 19749, 353, 4343, 7825, 1475, 19749, 354, 25953, 11899, 8276, 23326, 263, 2412, 756, 338, 270, 1111, 476, 23326, 10534, 283, 274, 260, 1475, 283, 271, 269, 276, 260, 540, 2597, 1475, 283, 4968, 851, 829, 2929, 2008, 2690, 519, 3803, 10652, 2280, 4492, 602, 568, 4712, 585, 9513, 610, 1210, 267, 13581, 7648, 1256, 689, 9126, 547, 9126, 616, 17149, 267, 855, 519, 3604, 616, 2356, 28971, 543, 1454, 4130, 982, 1336, 538, 519, 3312, 6151, 1570, 1354, 4393, 269, 4475, 267, 596, 666, 1293, 593, 891, 26005, 909, 547, 21668, 296, 4441, 563, 30747, 569, 18564, 281, 1306, 11435, 540, 26005, 10518, 543, 4558, 3362, 267, 596, 666, 4688, 2724, 676, 2921, 5413, 540, 2539, 1055, 4005, 5777, 543, 2327, 741, 5162, 4492, 3761, 676, 9140, 2038, 563, 24841, 19994, 2280, 24759, 1299, 8381, 19994, 2280, 12518, 538, 3013, 454, 2467, 616, 6266, 540, 3574, 10652, 2280, 14200, 543, 3574, 10652, 2280, 2371, 2066, 519, 2136, 2276, 267, 543, 1034, 540, 873, 1491, 11348, 538, 519, 2298, 543, 4739, 26206, 602, 789, 2322, 538, 547, 1818, 741, 14167, 17263, 3574, 26005, 543, 4441, 3574, 26005, 269, 27603, 267, 3345, 1977, 10652, 2280, 2371, 941, 13883, 2059, 2427, 610, 2282, 513, 4718, 17524, 585, 1210, 6775, 22016, 538, 519, 2504, 540, 10821, 3446, 26005, 269, 12989, 616, 930, 540, 519, 1134, 8153, 12478, 540, 3574, 10652, 2280, 9755, 912, 25567, 320, 8381, 5682, 17781, 12713, 6052, 5549, 1421, 568, 513, 7791, 1648, 2754, 538, 8419, 269, 901, 2754, 7472, 827, 476, 4335, 267, 1822, 19726, 540, 3574, 26005, 267, 543, 621, 568, 6098, 5631, 585, 13143, 547, 3864, 5742, 563, 6124, 4789, 8381, 19994, 2280, 568, 519, 9510, 543, 4102, 10652, 2280, 10672, 538, 519, 17368, 14665, 2136, 2276, 269, 898, 568, 6131, 883, 1818, 711, 1152, 1175, 519, 1655, 7900, 3574, 26005, 538, 3013, 267, 855, 849, 519, 1034, 11967, 563, 299, 793, 7497, 3574, 26005, 616, 1500, 689, 13381, 267, 7791, 4718, 17524, 3653, 267, 543, 789, 616, 849, 909, 547, 14167, 3446, 269, 4706, 14167, 3574, 26005, 3132, 513, 5812, 267, 1164, 31641, 308, 3977, 543, 3132, 1447, 982, 835, 2600, 11849, 563, 763, 6990, 540, 10821, 23041, 543, 4853, 15245, 616, 4397, 547, 3136, 1332, 2059, 609, 8441, 538, 2973, 2029, 267, 4656, 543, 7082, 7287, 585, 8925, 543, 1942, 9806, 269, 7351, 5777, 540, 2067, 3154, 543, 3282, 1747, 3574, 10652, 2280, 4492, 693, 1655, 12721, 29143, 1227, 1996, 4492, 3282, 267, 4412, 2033, 610, 5201, 267, 3976, 1818, 519, 29036, 3013, 519, 1034, 9621, 6237, 2344, 269, 4475, 267, 5663, 3574, 26005, 568, 3810, 6225, 543, 17709, 269, 1403, 596, 849, 1616, 547, 581, 513, 10672, 540, 3574, 10652, 2280, 4492, 267, 596, 666, 1293, 593, 721, 585, 948, 689, 4642, 547, 519, 1439, 269, 1284, 616, 24584, 547, 5873, 689, 596, 2336, 2171, 4309, 679, 24751, 538, 2296, 267, 25385, 320, 10722, 565, 630, 28049, 1070, 2843, 510, 7846, 4736, 4736, 24012, 13953, 476, 9326, 13194, 9924, 7549, 630, 305, 11701, 1070, 31839, 9820, 630, 23210, 264, 543, 24291, 28257, 14507, 24220, 18716, 29756, 630, 288, 32106, 1040, 3776, 3318, 2319, 786, 16253, 547, 596, 1369, 835, 1870, 1554, 269, 7490, 1745, 1863, 547, 3346, 721, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8863, 2752, 3722, 9898, 269, 589, 3002, 1156, 269, 1717, 23406, 608, 27238, 267, 972, 568, 1100, 2601, 1946, 1200, 27808, 1178, 806, 949, 711, 723, 1044, 10694, 269, 6145, 12266, 21031, 540, 7584, 267, 1352, 1131, 4440, 581, 9952, 538, 13549, 1740, 267, 5310, 849, 538, 1210, 519, 32605, 543, 538, 22805, 269, 1809, 1869, 1352, 729, 711, 31235, 609, 519, 3020, 4984, 267, 1373, 513, 26902, 23124, 540, 519, 5601, 14780, 267, 543, 519, 824, 2820, 514, 885, 602, 10645, 519, 4630, 720, 540, 1200, 2197, 5443, 267, 2864, 982, 540, 8614, 327, 990, 1695, 2713, 543, 3020, 2696, 269, 8447, 3138, 767, 1465, 949, 581, 513, 10475, 10516, 540, 24656, 267, 543, 5837, 29284, 14909, 538, 835, 945, 568, 547, 581, 513, 7385, 282, 855, 4986, 666, 22771, 585, 519, 9000, 540, 4984, 269, 834, 293, 822, 712, 568, 13587, 527, 995, 2437, 3092, 269, 630, 3682, 18690, 476, 4029, 281, 1789, 1916, 7656, 269, 5990, 1627, 16604, 2894, 24202, 654, 3633, 291, 5058, 563, 272, 269, 18270, 730, 2038, 538, 519, 4622, 781, 12081, 630, 272, 18301, 476, 274, 281, 272, 1070, 543, 8969, 1652, 609, 4742, 26672, 712, 269, 898, 568, 711, 1434, 585, 2379, 806, 1022, 811, 982, 585, 27998, 547, 581, 4805, 267, 543, 834, 515, 602, 1265, 996, 513, 7385, 257, 630, 25075, 3660, 1352, 581, 513, 4807, 602, 905, 732, 628, 519, 7083, 264, 834, 22772, 996, 513, 1434, 3364, 257, 630, 3682, 18690, 476, 1240, 281, 2420, 1916, 273, 269, 7971, 1227, 25368, 585, 519, 1533, 267, 1498, 713, 568, 30940, 269, 5840, 2838, 1100, 12765, 816, 267, 2901, 689, 5527, 610, 28435, 6319, 267, 865, 1279, 607, 1352, 7283, 3020, 547, 8614, 327, 990, 1695, 630, 3674, 320, 11672, 476, 1789, 281, 274, 282, 22819, 31109, 476, 273, 281, 1240, 282, 22819, 31109, 476, 5655, 281, 866, 1040, 769, 1022, 2013, 267, 9444, 2797, 11880, 1466, 6862, 1514, 13418, 568, 513, 1697, 30254, 585, 24931, 7365, 267, 799, 1058, 2141, 581, 6273, 676, 2648, 1063, 519, 6105, 630, 22977, 1127, 2103, 476, 276, 281, 1839, 268, 2764, 1916, 274, 269, 25334, 4601, 1996, 519, 4521, 540, 2696, 269, 2201, 519, 835, 1688, 267, 621, 568, 11130, 630, 11390, 559, 267, 15840, 337, 994, 263, 272, 264, 602, 519, 631, 6242, 545, 29417, 630, 2750, 21402, 476, 4097, 281, 1626, 282, 1546, 17458, 16860, 476, 278, 281, 274, 264, 19275, 1152, 7365, 609, 2052, 22528, 527, 880, 2021, 3248, 263, 273, 264, 602, 711, 10238, 1746, 267, 621, 949, 581, 6956, 547, 723, 4847, 267, 19710, 609, 12266, 30823, 839, 3248, 263, 274, 264, 602, 971, 22888, 941, 14719, 730, 676, 15584, 607, 2009, 630, 5719, 17458, 16860, 476, 2537, 281, 278, 267, 1546, 17458, 16860, 476, 2537, 281, 279, 11850, 263, 275, 264, 602, 31279, 781, 8250, 949, 723, 1831, 513, 18340, 569, 974, 547, 519, 6014, 4984, 282, 543, 454, 263, 276, 264, 602, 519, 7365, 568, 24076, 538, 23075, 12799, 28715, 563, 4002, 519, 824, 1688, 267, 621, 568, 733, 2105, 630, 3849, 600, 22548, 651, 994, 263, 272, 264, 602, 519, 6240, 540, 519, 1876, 799, 17246, 1228, 7365, 609, 513, 2052, 22528, 527, 880, 30823, 523, 4294, 8449, 547, 606, 12266, 27959, 267, 538, 11047, 1276, 607, 1312, 941, 4914, 610, 856, 1633, 880, 2021, 3248, 263, 273, 264, 602, 31279, 781, 8250, 568, 1362, 539, 609, 519, 856, 1633, 880, 2021, 945, 3361, 21125, 547, 5609, 630, 272, 18301, 476, 1556, 281, 272, 282, 3026, 1335, 11672, 476, 1724, 281, 2918, 5148, 543, 454, 263, 274, 264, 602, 972, 568, 1100, 6169, 602, 31279, 781, 8250, 729, 513, 18340, 569, 974, 563, 763, 31077, 267, 2705, 267, 540, 713, 2063, 25195, 568, 9277, 547, 581, 20582, 676, 519, 1739, 9270, 912, 263, 272, 264, 2334, 21125, 267, 693, 519, 30134, 618, 540, 1010, 12081, 267, 1131, 15991, 723, 9310, 31279, 781, 8250, 1185, 1352, 711, 1044, 513, 18340, 569, 974, 267, 646, 1373, 693, 519, 942, 513, 24158, 540, 8614, 327, 990, 1695, 543, 606, 20626, 540, 1010, 2081, 3248, 263, 273, 264, 602, 31279, 781, 8250, 568, 711, 3957, 538, 669, 269, 476, 1556, 269, 1851, 519, 4622, 781, 24726, 945, 6822, 340, 1027, 741, 9393, 883, 31561, 520, 787, 3248, 263, 274, 264, 602, 972, 568, 711, 513, 10250, 540, 12266, 10847, 547, 581, 1336, 538, 5840, 1282, 713, 12081, 282, 543, 454, 263, 275, 264, 602, 519, 14576, 540, 21125, 543, 519, 17288, 1922, 604, 628, 533, 15680, 332, 1131, 711, 723, 1044, 7768, 538, 22632, 540, 1200, 16806, 267, 543, 2484, 1447, 15861, 547, 519, 17374, 267, 1185, 1352, 1044, 606, 31561, 520, 816, 563, 3719, 9039, 540, 891, 568, 20310, 563, 263, 272, 264, 21125, 1185, 2907, 606, 2549, 3000, 924, 7385, 1765, 27845, 600, 1695, 267, 519, 3993, 540, 1234, 327, 984, 27961, 630, 22396, 269, 476, 272, 18301, 476, 1556, 281, 5655, 609, 476, 272, 18301, 476, 1691, 281, 2641, 543, 476, 273, 20048, 2873, 476, 1321, 281, 1724, 2567, 729, 1352, 513, 18340, 569, 974, 888, 263, 273, 264, 932, 269, 476, 1556, 269, 568, 9833, 676, 930, 607, 11093, 31279, 781, 8250, 1851, 519, 856, 1633, 880, 2021, 945, 3361, 21125, 547, 5609, 563, 263, 274, 264, 12266, 31561, 520, 787, 949, 723, 1044, 1316, 2213, 538, 519, 15596, 781, 2777, 267, 1498, 711, 538, 519, 2244, 282, 543, 454, 263, 275, 264, 621, 568, 711, 1978, 602, 2901, 519, 5152, 610, 519, 533, 15680, 332, 729, 2854, 538, 22632, 540, 713, 14799, 269, 1677, 891, 949, 581, 3773, 454, 263, 276, 264, 602, 267, 1185, 1352, 1044, 513, 18340, 569, 974, 267, 21125, 1131, 711, 723, 2877, 547, 23868, 1200, 689, 519, 1193, 517, 724, 1245, 540, 27098, 1141, 519, 818, 330, 729, 267, 543, 454, 263, 277, 264, 602, 31279, 781, 8250, 729, 6157, 606, 856, 1633, 880, 4807, 563, 275, 269, 26184, 569, 796, 611, 14876, 593, 21125, 781, 851, 267, 898, 3366, 547, 1010, 7771, 883, 31561, 520, 787, 267, 952, 711, 2047, 2943, 18549, 267, 676, 3056, 1864, 547, 1039, 811, 24726, 543, 6677, 889, 1149, 547, 1010, 688, 8145, 563, 4353, 269, 5990, 1627, 16604, 2894, 24202, 19419, 2839, 9970, 2676, 272, 269, 769, 513, 5094, 2777, 538, 519, 2749, 540, 6424, 269, 2201, 1200, 16806, 267, 21125, 1705, 711, 3142, 1200, 883, 1010, 4651, 781, 19289, 1141, 5128, 759, 3660, 1765, 2288, 930, 3180, 646, 1705, 630, 289, 1068, 515, 879, 28931, 8117, 25778, 3022, 1200, 538, 513, 10151, 23029, 630, 11390, 559, 267, 15840, 337, 1070, 26471, 607, 513, 2601, 602, 519, 11623, 540, 519, 10424, 19289, 1185, 1044, 13394, 3603, 543, 21235, 13411, 676, 519, 4527, 540, 519, 818, 330, 540, 8614, 327, 990, 1695, 267, 543, 2495, 7551, 602, 547, 723, 5189, 883, 873, 606, 12266, 15596, 267, 1256, 1498, 513, 18340, 569, 974, 267, 609, 4440, 606, 10661, 540, 3002, 1156, 12103, 1749, 267, 1131, 723, 1044, 267, 547, 2161, 519, 2547, 267, 606, 1561, 3064, 1214, 269, 634, 1249, 602, 21125, 1223, 711, 561, 17690, 1010, 7385, 538, 1010, 4651, 781, 2777, 1058, 723, 1500, 1864, 19292, 607, 547, 1010, 7365, 269, 2334, 1319, 3234, 11102, 19710, 1590, 581, 8969, 995, 519, 31658, 540, 799, 5012, 835, 547, 25370, 9150, 519, 23942, 771, 921, 5501, 267, 610, 799, 835, 12034, 547, 581, 1651, 784, 745, 748, 609, 1318, 3909, 4743, 563, 273, 269, 769, 513, 2777, 733, 27631, 547, 21125, 781, 19289, 269, 901, 2777, 267, 16887, 5423, 585, 1200, 267, 711, 585, 513, 688, 8145, 630, 10190, 3780, 1070, 4646, 851, 540, 21125, 781, 1378, 23029, 630, 272, 18301, 476, 278, 281, 279, 1070, 1373, 13883, 2901, 3297, 630, 310, 10719, 264, 610, 1657, 630, 11390, 559, 1070, 610, 5310, 693, 519, 2427, 540, 621, 563, 272, 269, 25141, 568, 4378, 24461, 538, 782, 630, 3891, 3691, 9749, 476, 1724, 281, 275, 1916, 273, 269, 634, 10279, 540, 16806, 1152, 538, 519, 7083, 630, 272, 29833, 2103, 476, 278, 281, 4375, 1916, 274, 269, 634, 5609, 540, 21657, 18081, 563, 275, 269, 634, 17185, 540, 8152, 27512, 547, 2226, 741, 24726, 23102, 310, 563, 273, 20048, 2873, 476, 279, 281, 1321, 268, 1626, 454, 763, 2777, 540, 519, 7083, 3501, 539, 563, 296, 269, 5990, 590, 3722, 6020, 293, 2975, 2464, 8121, 305, 20315, 3633, 269, 630, 273, 20048, 2873, 476, 279, 281, 1321, 267, 476, 273, 20048, 2873, 476, 279, 281, 1724, 8094, 272, 269, 634, 1747, 593, 799, 891, 1058, 8754, 1721, 628, 581, 6035, 269, 834, 763, 26749, 540, 8614, 327, 990, 1695, 1354, 519, 11188, 577, 1701, 670, 2416, 1729, 21125, 543, 1866, 2073, 17495, 4843, 26151, 17008, 1354, 519, 9184, 1716, 12386, 693, 18582, 324, 517, 630, 273, 20048, 2873, 476, 272, 281, 274, 264, 543, 11992, 630, 273, 15656, 476, 277, 281, 1724, 1040, 9747, 1721, 628, 891, 1058, 581, 9788, 2390, 519, 2909, 7999, 26749, 538, 519, 11454, 5480, 269, 21125, 781, 3257, 865, 693, 519, 2673, 540, 519, 11428, 3028, 729, 513, 6101, 22305, 4851, 540, 519, 2259, 5921, 547, 581, 4553, 563, 273, 269, 634, 2053, 950, 891, 1058, 581, 6035, 563, 263, 272, 264, 5272, 1554, 24568, 519, 6640, 543, 10543, 15093, 269, 1924, 2696, 7569, 519, 1821, 19600, 543, 5289, 24279, 540, 1010, 1004, 693, 2038, 544, 1941, 543, 632, 14567, 552, 557, 563, 263, 273, 264, 2311, 2027, 12405, 1765, 517, 519, 521, 13741, 23411, 267, 519, 12353, 521, 13741, 23411, 543, 1346, 9648, 538, 519, 22984, 540, 15976, 267, 607, 593, 519, 1390, 4303, 540, 2311, 821, 618, 630, 299, 5271, 12792, 639, 476, 1626, 281, 4029, 1070, 543, 593, 519, 1101, 543, 21632, 2395, 540, 519, 3171, 770, 540, 16016, 1430, 532, 630, 299, 5271, 12792, 639, 476, 2537, 281, 4375, 5148, 593, 519, 1007, 24262, 630, 272, 15656, 476, 736, 281, 276, 267, 476, 272, 306, 320, 476, 736, 281, 1240, 282, 476, 273, 18301, 476, 275, 281, 2537, 282, 25360, 916, 476, 10037, 281, 274, 282, 30037, 476, 272, 281, 1724, 267, 30037, 476, 272, 281, 1691, 282, 15643, 476, 5780, 281, 272, 268, 2190, 2433, 2918, 5148, 543, 593, 519, 32444, 905, 6814, 1614, 2053, 513, 1032, 267, 1775, 4318, 269, 519, 30687, 267, 593, 519, 2185, 18818, 1554, 540, 519, 1101, 3923, 282, 519, 3171, 770, 540, 28610, 267, 610, 540, 519, 3689, 325, 21209, 267, 538, 519, 4098, 540, 7556, 282, 543, 519, 3171, 770, 540, 16016, 1430, 532, 267, 610, 519, 3171, 770, 540, 21741, 1716, 8163, 267, 593, 519, 6957, 18818, 1554, 540, 519, 18749, 3923, 630, 2750, 21402, 476, 2537, 281, 1691, 268, 1626, 282, 2274, 10903, 16307, 476, 2537, 281, 275, 268, 4510, 1040, 4033, 2053, 1522, 581, 6074, 676, 519, 26902, 2089, 704, 282, 891, 519, 26902, 23124, 729, 711, 693, 15698, 547, 10714, 269, 7201, 8567, 972, 568, 606, 9048, 3027, 1043, 5934, 9944, 799, 835, 3112, 979, 538, 7674, 2696, 543, 2943, 3409, 547, 581, 513, 1167, 2118, 563, 274, 269, 634, 2268, 2687, 547, 799, 891, 1058, 581, 6035, 269, 4340, 547, 519, 3232, 2557, 11311, 676, 15584, 630, 2750, 21402, 476, 2537, 281, 1691, 282, 2274, 10903, 16307, 476, 2537, 281, 4391, 282, 1546, 17458, 16860, 476, 1626, 281, 1626, 267, 1546, 17458, 16860, 476, 1626, 281, 1704, 1040, 9282, 21125, 1185, 1044, 4378, 10696, 547, 16245, 513, 11454, 267, 646, 1705, 711, 1745, 5128, 693, 15698, 547, 4412, 895, 513, 1007, 9161, 267, 543, 2484, 1447, 547, 20576, 513, 1007, 4984, 269, 1280, 1864, 267, 607, 585, 782, 1354, 543, 1310, 267, 2394, 519, 3505, 1145, 540, 519, 2053, 267, 15584, 729, 519, 6852, 6392, 538, 14985, 543, 538, 10847, 269, 4595, 519, 3505, 1145, 540, 519, 2053, 267, 2441, 267, 519, 3152, 982, 15584, 267, 568, 282, 543, 786, 2914, 11208, 630, 8624, 1601, 2103, 476, 273, 281, 2537, 264, 568, 607, 2370, 7989, 24777, 896, 519, 1007, 7006, 18730, 607, 621, 729, 896, 519, 2025, 563, 2862, 269, 5990, 623, 6020, 12239, 14877, 2910, 7838, 306, 2464, 6673, 17269, 19860, 3633, 269, 630, 273, 20048, 2873, 476, 279, 281, 1691, 8094, 272, 269, 634, 4806, 4553, 269, 634, 1931, 540, 6424, 630, 272, 20048, 2873, 476, 2190, 281, 272, 268, 4029, 12175, 6787, 267, 538, 3976, 25786, 519, 17913, 11856, 267, 6424, 19500, 896, 23942, 4287, 610, 711, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5512, 519, 769, 20129, 16390, 538, 519, 654, 11085, 1895, 269, 0, 303, 2432, 829, 12945, 3723, 1535, 476, 1626, 269, 26289, 5379, 274, 275, 815, 4846, 8276, 274, 454, 303, 2432, 540, 3196, 829, 12945, 3723, 1535, 476, 271, 269, 1626, 630, 271, 269, 14991, 5400, 278, 275, 5038, 264, 815, 4893, 821, 342, 27971, 829, 12945, 11281, 563, 272, 4846, 11305, 889, 545, 25451, 815, 476, 6507, 269, 5952, 274, 6550, 270, 12945, 3723, 563, 1692, 547, 6460, 10699, 545, 11281, 547, 31641, 308, 454, 11899, 1315, 12945, 25451, 2608, 476, 271, 269, 6187, 273, 275, 2764, 815, 6550, 1315, 12945, 3723, 3436, 865, 2433, 476, 1015, 4846, 1315, 12945, 25451, 2608, 476, 271, 269, 6187, 273, 4366, 815, 476, 271, 269, 277, 2190, 279, 6550, 1315, 12945, 3723, 454, 2791, 1131, 991, 547, 917, 519, 5860, 540, 519, 6219, 538, 2243, 563, 1692, 547, 6460, 544, 3387, 14654, 547, 12945, 11281, 454, 2791, 666, 1405, 6460, 602, 563, 2791, 3112, 6460, 513, 4320, 547, 606, 1858, 269, 1411, 666, 267, 2705, 267, 6460, 20990, 547, 12945, 7397, 267, 2094, 1312, 616, 12531, 269, 1703, 616, 476, 1911, 271, 20990, 538, 513, 12945, 11281, 267, 865, 547, 6460, 547, 12945, 7397, 7941, 676, 476, 1911, 271, 20990, 1315, 12945, 11281, 563, 272, 12945, 11281, 815, 476, 272, 4893, 7035, 516, 454, 11372, 17586, 9748, 676, 476, 272, 267, 276, 3066, 269, 1556, 547, 1205, 6550, 829, 12945, 13452, 17041, 476, 274, 269, 274, 1535, 476, 272, 267, 276, 3066, 269, 1556, 815, 476, 276, 267, 271, 5379, 269, 6187, 274, 6550, 829, 12945, 13452, 454, 20123, 17586, 536, 476, 1911, 271, 547, 6460, 689, 12945, 11281, 547, 20990, 454, 272, 12945, 11281, 815, 476, 1911, 271, 1396, 516, 454, 272, 630, 31957, 545, 11281, 264, 815, 476, 3374, 269, 27183, 12945, 3952, 563, 5591, 7503, 568, 2838, 1701, 544, 274, 834, 1797, 834, 31957, 545, 11281, 8487, 6011, 649, 666, 6460, 4881, 11281, 547, 12945, 4881, 11281, 1677, 1205, 12945, 11281, 267, 596, 991, 547, 917, 519, 3259, 267, 519, 8700, 267, 543, 519, 4463, 269, 25092, 1346, 1614, 1927, 547, 1205, 4320, 538, 12945, 7397, 269, 1411, 666, 1405, 1205, 12945, 11281, 1175, 676, 6616, 835, 10155, 971, 607, 4881, 11281, 269, 1411, 991, 782, 1614, 7516, 563, 19808, 6372, 26008, 10699, 545, 11281, 568, 513, 4320, 2268, 543, 4009, 11281, 568, 513, 2268, 540, 1858, 8627, 2336, 288, 1770, 540, 3259, 630, 1492, 1298, 9014, 264, 1281, 711, 6460, 547, 513, 1770, 540, 4320, 630, 1492, 12945, 11281, 1040, 20099, 568, 711, 4320, 563, 272, 12945, 11281, 815, 476, 271, 3374, 275, 21567, 454, 272, 12945, 11281, 815, 476, 3374, 269, 27183, 5780, 278, 12945, 10623, 564, 454, 2791, 666, 1405, 6460, 1063, 7397, 543, 12945, 7397, 563, 2467, 616, 827, 476, 3374, 269, 27183, 12945, 3952, 538, 835, 12945, 11281, 269, 1924, 281, 31957, 545, 7397, 1535, 476, 3374, 269, 27183, 815, 12945, 3952, 454, 272, 4846, 829, 12945, 11281, 815, 476, 274, 269, 277, 1321, 278, 3066, 273, 6398, 476, 1015, 268, 276, 6550, 829, 12945, 10759, 563, 527, 568, 7543, 269, 4009, 11281, 568, 513, 1770, 540, 1858, 543, 12945, 11281, 568, 540, 4320, 563, 11372, 17586, 12945, 3952, 676, 476, 271, 269, 271, 2764, 274, 547, 1205, 12945, 7397, 563, 11372, 17586, 519, 12945, 3952, 676, 476, 271, 269, 271, 2764, 3953, 547, 1205, 12945, 15432, 269, 0, 29804, 6118, 9249, 281, 11882, 10406, 540, 13812, 3096, 8285, 4054, 547, 948, 3165, 2551, 454, 291, 5962, 538, 22970, 267, 25192, 543, 17309, 267, 11882, 10406, 540, 13812, 5520, 22755, 2185, 2914, 31856, 619, 2066, 519, 6777, 2275, 2642, 2666, 693, 4639, 25032, 1763, 969, 7546, 267, 1951, 21794, 15985, 956, 540, 8285, 4054, 563, 5445, 13615, 519, 4054, 883, 536, 31708, 267, 7923, 873, 547, 524, 5407, 7161, 543, 16559, 873, 2066, 519, 13111, 781, 3819, 15135, 267, 6028, 18162, 540, 12566, 19271, 538, 741, 12687, 563, 763, 3135, 949, 723, 6743, 899, 513, 8285, 3529, 1178, 3272, 731, 267, 855, 519, 4674, 786, 1832, 5215, 540, 6550, 540, 6691, 762, 1570, 856, 540, 26071, 713, 1032, 563, 763, 1533, 8116, 5116, 10199, 476, 6110, 2025, 8285, 4054, 13628, 12784, 693, 4639, 25032, 1763, 969, 7546, 1055, 12928, 1952, 10003, 538, 5800, 720, 6019, 543, 519, 5449, 9702, 4099, 20355, 786, 4166, 4196, 607, 9249, 585, 3165, 269, 769, 519, 2887, 267, 519, 10720, 1377, 568, 22485, 547, 1852, 936, 29115, 540, 18047, 543, 585, 6360, 1852, 5301, 563, 257, 30631, 1302, 519, 1216, 568, 2469, 547, 2097, 909, 543, 3382, 519, 4054, 1934, 950, 519, 4832, 7535, 4991, 1394, 856, 538, 4639, 25032, 2437, 7320, 11464, 3057, 3626, 19994, 5586, 337, 7236, 1767, 563, 763, 4054, 786, 581, 1063, 1614, 547, 3670, 3952, 2620, 2899, 519, 1216, 1377, 7024, 547, 3339, 563, 300, 3430, 16423, 324, 267, 513, 21996, 29489, 609, 519, 10406, 540, 13812, 267, 1767, 519, 8116, 3096, 8285, 4054, 1317, 834, 16269, 2811, 7168, 1454, 607, 2067, 513, 6219, 607, 596, 666, 1205, 4799, 310, 6504, 324, 267, 945, 13327, 525, 519, 1788, 267, 6045, 602, 950, 1804, 23854, 538, 519, 1858, 941, 1101, 4646, 267, 789, 8659, 513, 4494, 540, 2067, 7226, 267, 1500, 689, 15468, 4054, 543, 588, 7927, 267, 602, 3165, 1223, 946, 585, 8023, 543, 15720, 689, 11975, 563, 2026, 12647, 2085, 267, 16423, 324, 1767, 519, 2067, 11935, 9397, 1524, 543, 5555, 7106, 8986, 563, 257, 3383, 950, 596, 1376, 6158, 827, 32543, 18166, 7226, 585, 3165, 5095, 547, 8853, 1055, 540, 267, 972, 781, 1100, 1732, 6219, 982, 519, 2067, 267, 29762, 11935, 649, 666, 1265, 3833, 11593, 1310, 519, 9702, 4005, 2437, 16423, 324, 1767, 563, 763, 10406, 540, 13812, 5833, 4054, 602, 4769, 1405, 6133, 1282, 519, 9702, 4005, 689, 21625, 971, 607, 8899, 324, 781, 543, 5851, 3493, 582, 267, 607, 1134, 607, 998, 513, 9657, 1982, 563, 310, 6504, 324, 6059, 519, 8116, 3335, 973, 344, 3380, 1063, 476, 272, 267, 4335, 543, 476, 273, 267, 1822, 4054, 1169, 1032, 267, 609, 1142, 3529, 20604, 827, 476, 1789, 6550, 563, 24679, 781, 606, 10731, 4199, 602, 596, 1810, 1405, 1616, 547, 1294, 5734, 519, 26071, 2437, 646, 1767, 563, 310, 6504, 324, 1767, 519, 9249, 4324, 1004, 945, 3165, 1317, 789, 4482, 3165, 547, 1346, 6810, 540, 519, 10720, 563, 10454, 3165, 786, 979, 972, 1317, 602, 781, 1018, 789, 6923, 1616, 547, 798, 269, 1358, 1616, 547, 12314, 609, 930, 4990, 540, 7226, 2437, 16423, 324, 1767, 269, 834, 10190, 267, 519, 2587, 6840, 666, 979, 972, 543, 1265, 519, 3165, 4799, 1103, 1840, 547, 3165, 9249, 267, 19994, 5586, 337, 7236, 1767, 519, 4054, 666, 581, 1031, 593, 2244, 585, 17544, 543, 824, 1507, 7068, 602, 2972, 29762, 9249, 563, 1607, 1032, 267, 519, 10406, 540, 13812, 849, 4566, 547, 1747, 930, 4130, 3529, 3889, 693, 12670, 8235, 563, 1103, 3105, 1296, 267, 519, 8116, 5249, 609, 10068, 15731, 543, 824, 1533, 9988, 547, 798, 3677, 13307, 3785, 267, 855, 16423, 324, 1767, 789, 6854, 873, 811, 13671, 713, 1032, 1317, 540, 519, 6855, 563, 8448, 9634, 1141, 9249, 723, 1044, 5116, 538, 1296, 2250, 1331, 17018, 10181, 334, 15880, 8235, 538, 2558, 3518, 1638, 6019, 543, 5487, 18814, 1763, 969, 7546, 538, 2983, 879, 8615, 6019, 269, 0, 289, 698, 7666, 569, 3778, 267, 7731, 595, 6135, 1299, 3213, 1846, 540, 1488, 916, 454, 763, 2012, 20045, 7666, 569, 568, 540, 17454, 29509, 5169, 543, 3357, 689, 950, 519, 1920, 5030, 538, 27991, 10921, 267, 1141, 789, 941, 4371, 1609, 919, 693, 645, 12000, 13704, 269, 634, 1920, 2012, 729, 8385, 6508, 689, 519, 2012, 540, 713, 812, 3645, 10160, 269, 634, 2262, 9126, 326, 13704, 538, 3504, 590, 19414, 1797, 1164, 2666, 269, 1452, 1747, 4408, 616, 3622, 2219, 547, 17589, 689, 606, 6196, 2296, 2123, 2012, 645, 659, 8615, 543, 519, 6196, 2296, 2262, 682, 1695, 267, 2495, 513, 21757, 538, 519, 18137, 563, 15900, 17959, 540, 519, 20045, 7666, 569, 1920, 454, 763, 21519, 20045, 7666, 569, 729, 1101, 1336, 538, 1744, 549, 23137, 693, 20045, 2917, 267, 513, 1507, 6917, 8498, 538, 519, 25110, 540, 670, 867, 2917, 269, 634, 9998, 2594, 540, 519, 1747, 2012, 729, 1336, 538, 524, 269, 11820, 271, 950, 621, 729, 7396, 607, 645, 720, 548, 807, 269, 3097, 289, 698, 2917, 8862, 797, 568, 513, 18296, 538, 519, 4627, 540, 26268, 518, 267, 538, 7137, 802, 10921, 269, 834, 288, 27694, 729, 8547, 1934, 676, 595, 20811, 267, 18755, 518, 1195, 540, 2578, 342, 710, 267, 27630, 4622, 540, 24380, 16303, 282, 799, 729, 6569, 547, 2806, 532, 18484, 538, 476, 27151, 267, 602, 4884, 543, 922, 16289, 1137, 2348, 1044, 8655, 547, 621, 676, 595, 1737, 13665, 320, 269, 834, 3097, 4407, 519, 21519, 4440, 12090, 538, 1744, 549, 23137, 267, 649, 1590, 1413, 547, 27991, 10921, 547, 1265, 519, 9998, 5638, 269, 634, 1920, 729, 700, 3581, 540, 519, 2494, 528, 540, 645, 12000, 13704, 543, 4371, 513, 1920, 10160, 972, 689, 3504, 2053, 269, 20045, 2544, 344, 8065, 2282, 25480, 729, 3710, 538, 519, 476, 1691, 628, 2540, 676, 11184, 5261, 632, 20045, 2544, 344, 267, 610, 7654, 676, 835, 540, 1010, 14930, 269, 898, 949, 723, 8719, 606, 476, 1556, 628, 610, 476, 1321, 628, 2540, 2497, 269, 834, 314, 289, 698, 2544, 344, 538, 27991, 10921, 316, 729, 693, 606, 2038, 1974, 519, 3959, 540, 519, 20045, 2544, 903, 267, 4171, 646, 328, 816, 4547, 621, 547, 519, 2274, 724, 338, 282, 519, 8545, 4421, 621, 1701, 3097, 15900, 3778, 540, 519, 20045, 7666, 569, 1920, 454, 1607, 1357, 2985, 2982, 1152, 513, 1507, 21626, 540, 938, 20045, 7666, 569, 1382, 269, 6271, 476, 13932, 1913, 630, 1321, 3515, 540, 1257, 264, 8720, 519, 1296, 476, 14695, 271, 267, 476, 15171, 278, 267, 476, 15946, 273, 267, 476, 15389, 280, 267, 476, 14338, 271, 267, 476, 15757, 275, 267, 476, 13679, 275, 543, 476, 13679, 275, 616, 3769, 896, 519, 1888, 7216, 20045, 7666, 569, 3778, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 289, 698, 7666, 569, 26538, 29938, 454, 2005, 568, 1152, 538, 519, 2063, 1906, 4627, 1296, 602, 519, 2296, 1893, 814, 1044, 13387, 269, 1280, 602, 2601, 267, 2038, 17454, 29509, 1147, 12849, 899, 20045, 7666, 569, 616, 6353, 676, 1082, 10259, 7648, 269, 1306, 519, 2296, 1893, 4957, 543, 11368, 2609, 540, 824, 3864, 4654, 267, 1256, 2148, 622, 1004, 4957, 519, 10259, 540, 741, 4408, 269, 2480, 1026, 525, 543, 26112, 538, 519, 5664, 12698, 25250, 4408, 789, 32131, 267, 865, 621, 568, 1455, 547, 1265, 1896, 7648, 602, 3277, 547, 513, 2582, 1268, 269, 634, 7648, 540, 519, 2012, 20045, 7666, 569, 1331, 281, 20045, 2917, 267, 20045, 613, 2917, 267, 645, 12000, 13704, 267, 645, 12000, 1446, 344, 267, 645, 720, 2917, 267, 645, 12000, 601, 599, 267, 20045, 569, 543, 1082, 811, 563, 15900, 3502, 1963, 540, 519, 20045, 7666, 569, 1920, 630, 2181, 476, 10204, 271, 994, 18850, 3907, 1639, 2818, 540, 519, 1920, 1331, 12138, 20045, 2544, 344, 267, 645, 6993, 1421, 556, 2758, 540, 519, 5939, 540, 853, 269, 7812, 267, 589, 7676, 2023, 267, 19903, 1662, 790, 538, 476, 15757, 275, 267, 855, 729, 834, 854, 4166, 27226, 585, 1138, 3415, 27883, 25975, 3539, 610, 9513, 540, 1945, 5289, 13580, 1701, 3097, 24109, 874, 9445, 645, 16925, 2917, 630, 1166, 269, 476, 13679, 275, 1070, 729, 513, 9576, 626, 2483, 5194, 476, 2412, 1913, 630, 274, 3515, 540, 1257, 264, 616, 3769, 896, 519, 1888, 7216, 20045, 7666, 569, 3502, 1963, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 300, 12568, 540, 519, 20045, 7666, 569, 1920, 547, 8581, 454, 5278, 540, 519, 20045, 7666, 569, 1920, 6410, 547, 8581, 267, 855, 713, 1888, 568, 711, 4988, 538, 713, 21626, 563, 5194, 476, 4343, 1913, 630, 274, 3515, 540, 1257, 264, 827, 741, 1272, 538, 8581, 568, 3769, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 300, 12568, 540, 519, 20045, 7666, 569, 1920, 454, 6624, 2296, 3885, 13110, 540, 2797, 543, 3909, 1193, 1057, 2451, 6628, 585, 519, 1007, 10125, 538, 3345, 3013, 269, 4014, 519, 7552, 3294, 6035, 1100, 8323, 910, 2175, 593, 519, 9635, 941, 5393, 16081 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3131, 545, 731, 1756, 281, 634, 5485, 1634, 607, 519, 829, 545, 731, 1756, 27788, 543, 11226, 538, 7863, 519, 2295, 269, 589, 1507, 7274, 540, 5714, 602, 19149, 919, 519, 2295, 543, 1447, 839, 11508, 1247, 621, 20054, 568, 849, 1459, 563, 268, 9839, 9931, 281, 634, 12473, 731, 1756, 267, 26961, 1756, 267, 543, 1439, 18201, 1756, 616, 519, 1614, 6106, 540, 5160, 602, 1118, 909, 519, 2295, 3774, 269, 634, 12473, 731, 1756, 568, 519, 9018, 4494, 540, 6094, 5160, 8720, 519, 2295, 781, 2627, 267, 543, 519, 26961, 1756, 568, 519, 1647, 4494, 7768, 540, 519, 2295, 4887, 269, 634, 1439, 18201, 1756, 568, 519, 6418, 4494, 4646, 540, 513, 6094, 4494, 540, 5160, 602, 3515, 519, 3330, 540, 519, 2295, 563, 10376, 540, 891, 3334, 540, 519, 2295, 1568, 1927, 547, 2327, 519, 1697, 8647, 540, 519, 2295, 543, 1973, 10009, 2429, 519, 1560, 269, 4197, 519, 2295, 781, 2497, 568, 1271, 585, 1620, 875, 621, 1568, 543, 519, 1585, 2175, 602, 666, 1860, 621, 563, 288, 9839, 7304, 601, 730, 17136, 454, 763, 16209, 602, 3049, 519, 2295, 4887, 609, 5135, 543, 5567, 7936, 1055, 519, 513, 677, 320, 267, 519, 1292, 1973, 8756, 602, 3560, 338, 1973, 689, 519, 2295, 269, 634, 2295, 849, 814, 922, 1973, 3761, 3177, 676, 519, 18337, 16209, 269, 634, 18337, 16209, 666, 1831, 7522, 610, 17808, 267, 513, 2783, 1634, 607, 18337, 16050, 2068, 267, 799, 666, 1291, 547, 513, 2295, 4323, 269, 1879, 519, 1973, 3761, 547, 513, 3296, 540, 519, 2295, 4887, 568, 2759, 1055, 267, 519, 4299, 3296, 10523, 267, 4611, 538, 513, 2295, 4323, 563, 6635, 337, 20263, 5362, 616, 9402, 2295, 18819, 602, 666, 2014, 519, 1932, 3500, 267, 2295, 547, 10726, 1932, 3728, 610, 12150, 569, 269, 634, 2295, 666, 849, 581, 4299, 676, 824, 2175, 267, 971, 607, 2295, 11896, 2068, 267, 2295, 11733, 4713, 630, 1551, 20263, 5362, 1070, 543, 22787, 2295, 2068, 630, 24711, 12889, 1459, 693, 4332, 1040, 1879, 835, 610, 811, 540, 519, 2295, 781, 17901, 2736, 543, 29572, 519, 2834, 2095, 540, 1973, 998, 519, 2295, 267, 2295, 11896, 2068, 2164, 269, 1879, 519, 2295, 610, 519, 1973, 9055, 2673, 547, 519, 2295, 798, 711, 1332, 7157, 1354, 4332, 267, 22787, 2295, 2068, 568, 513, 1966, 602, 2164, 563, 1103, 1840, 547, 2564, 2175, 267, 6197, 2188, 971, 607, 2732, 267, 3635, 267, 543, 7296, 666, 849, 1860, 519, 2295, 781, 1072, 269, 589, 2732, 1164, 538, 3170, 543, 8501, 543, 1970, 538, 6775, 543, 5567, 666, 2333, 519, 1981, 540, 2295, 2068, 269, 20767, 23358, 19824, 543, 513, 3668, 540, 3635, 666, 849, 2014, 2295, 2068, 269, 25003, 4679, 519, 1981, 540, 2295, 4323, 543, 8482, 676, 31362, 519, 2295, 543, 1973, 8043, 563, 288, 23225, 12700, 13565, 547, 9839, 454, 763, 1480, 2295, 568, 513, 4105, 1418, 3743, 585, 23028, 1973, 2429, 519, 1560, 267, 543, 621, 4249, 513, 2629, 1909, 538, 4509, 1072, 543, 568, 1419, 5219, 547, 607, 519, 834, 19956, 257, 540, 519, 1480, 1560, 269, 3371, 616, 930, 1883, 5013, 827, 519, 1480, 2295, 912, 268, 22845, 281, 589, 16757, 1418, 538, 519, 9221, 267, 519, 2295, 568, 13883, 1657, 519, 29690, 267, 3297, 519, 29523, 636, 267, 543, 1063, 519, 9641, 269, 898, 22179, 1063, 476, 7742, 543, 476, 12573, 13532, 543, 814, 513, 2450, 2147, 547, 513, 6806, 31329, 563, 268, 10552, 2095, 281, 634, 9025, 1062, 568, 513, 1062, 540, 1973, 9055, 998, 799, 519, 2295, 15450, 1973, 269, 10552, 12599, 998, 16209, 689, 519, 2295, 547, 519, 1964, 540, 519, 1560, 543, 7024, 998, 15532, 563, 268, 9839, 16422, 1499, 281, 634, 1318, 693, 8922, 543, 28602, 548, 267, 2059, 609, 519, 2451, 693, 8922, 543, 28602, 548, 267, 1118, 909, 519, 2295, 781, 2185, 20830, 269, 1546, 2135, 4723, 730, 1973, 568, 10356, 543, 29253, 676, 519, 1318, 693, 8922, 543, 28602, 548, 267, 543, 5135, 730, 1973, 568, 10356, 543, 3812, 676, 519, 2451, 693, 8922, 543, 28602, 548, 563, 268, 9839, 2041, 1846, 281, 634, 2295, 5781, 20054, 267, 10451, 513, 24754, 13942, 602, 666, 581, 5433, 538, 1114, 1560, 2694, 269, 2201, 3328, 267, 519, 2295, 20054, 476, 2568, 268, 1911, 2053, 829, 8792, 267, 855, 713, 666, 4268, 4470, 593, 1585, 2188, 971, 607, 3635, 267, 2566, 267, 543, 2085, 563, 268, 10552, 16242, 281, 634, 2295, 781, 23028, 2962, 12958, 1973, 2604, 267, 799, 568, 519, 3196, 540, 1973, 1996, 519, 6821, 540, 1973, 8043, 269, 4400, 1973, 2604, 568, 513, 1455, 1072, 1966, 602, 4679, 519, 1981, 540, 2295, 2068, 267, 8482, 267, 543, 8459, 2068, 563, 268, 15379, 2534, 281, 634, 2295, 781, 11733, 568, 14931, 676, 5122, 25372, 538, 513, 7463, 1895, 540, 2281, 1572, 519, 521, 3626, 520, 7434, 630, 6347, 264, 6843, 267, 4092, 538, 519, 1318, 693, 8922, 269, 634, 2295, 4887, 11731, 543, 1973, 568, 29253, 607, 519, 5122, 25372, 1780, 998, 621, 563, 268, 9839, 4406, 1407, 281, 9050, 17901, 538, 519, 2295, 1852, 1973, 2095, 543, 3247, 1394, 6503, 269, 634, 17901, 616, 519, 28886, 639, 3671, 11896, 267, 5378, 1537, 11896, 267, 513, 20294, 11896, 267, 543, 17422, 11896, 563, 268, 10552, 18242, 281, 634, 2295, 11392, 922, 1973, 3761, 998, 519, 18337, 16209, 267, 799, 22132, 689, 519, 513, 677, 320, 543, 7936, 1055, 547, 3761, 519, 2295, 4887, 609, 5135, 543, 5567, 563, 268, 9839, 8376, 281, 9839, 2068, 267, 799, 13315, 513, 3099, 540, 4713, 602, 1860, 519, 2295, 543, 1973, 16209, 267, 568, 519, 3791, 6574, 2014, 540, 9019, 538, 519, 1158, 269, 9839, 6285, 267, 2295, 5821, 267, 18337, 16050, 2068, 267, 543, 2855, 20263, 5362, 616, 6093, 3029, 540, 2295, 2068, 563, 268, 11957, 281, 634, 2295, 568, 1898, 585, 1272, 267, 543, 922, 1697, 8647, 568, 2556, 585, 4509, 1434, 1072, 269, 8617, 3635, 267, 513, 2635, 2732, 267, 543, 9319, 1981, 2188, 971, 607, 7296, 267, 1164, 1973, 2604, 267, 543, 1164, 8501, 666, 948, 547, 1832, 513, 2635, 2295, 563, 288, 23225, 5871, 3733, 2195, 6168, 519, 9839, 454, 2080, 616, 513, 1906, 1455, 14868, 827, 519, 2295, 912, 268, 19088, 281, 2659, 2295, 1236, 2354, 513, 10726, 950, 596, 2811, 18901, 563, 15542, 281, 901, 568, 513, 1455, 4082, 267, 855, 621, 781, 711, 3020, 269, 1879, 596, 1995, 513, 6727, 1376, 548, 610, 4250, 267, 596, 949, 1745, 513, 4028, 26470, 610, 1166, 32211, 14815, 267, 855, 713, 568, 1813, 547, 513, 5305, 540, 19076, 13824, 543, 513, 10151, 2333, 538, 707, 2295, 2557, 267, 711, 1317, 707, 2295, 814, 1236, 5792, 513, 10726, 563, 268, 19088, 281, 634, 2295, 568, 4092, 593, 519, 2451, 2427, 540, 519, 1560, 563, 15542, 281, 634, 2295, 568, 4092, 538, 519, 4099, 540, 519, 9221, 267, 3297, 519, 29523, 636, 267, 543, 5594, 547, 519, 2451, 267, 543, 621, 568, 711, 4092, 7357, 593, 519, 2451, 2427, 563, 268, 19088, 281, 634, 2295, 568, 1152, 519, 2450, 540, 513, 31329, 563, 15542, 281, 634, 2450, 540, 513, 2295, 666, 8428, 3648, 2066, 1004, 267, 543, 621, 666, 581, 12936, 676, 2188, 971, 607, 2085, 267, 4008, 267, 543, 2489, 1072, 269, 589, 3339, 2937, 2295, 666, 2039, 538, 2450, 689, 827, 519, 2450, 540, 513, 31329, 547, 519, 2450, 540, 513, 1804, 18812, 26258, 563, 268, 19088, 281, 634, 2295, 568, 519, 2707, 540, 4664, 563, 15542, 281, 634, 2295, 568, 1419, 2404, 609, 4664, 267, 855, 713, 568, 513, 2686, 7664, 543, 711, 513, 23963, 8810, 1249, 269, 634, 2295, 949, 4431, 547, 4664, 676, 4657, 922, 2557, 610, 11733, 267, 855, 621, 568, 711, 519, 2707, 540, 4664, 269, 634, 2634, 7472, 4664, 267, 799, 519, 8401, 1062, 18993, 1080, 547, 519, 1560, 563, 268, 19088, 281, 1411, 666, 1745, 952, 707, 2295, 568, 2635, 563, 15542, 281, 769, 1082, 2665, 267, 596, 949, 711, 581, 2111, 547, 2995, 952, 707, 2295, 568, 2635, 1175, 676, 875, 621, 7959, 269, 2368, 2295, 2042, 267, 971, 607, 1164, 1973, 2604, 267, 949, 711, 2014, 2589, 267, 1247, 824, 2175, 267, 899, 513, 2295, 4323, 267, 666, 2014, 4049, 2589, 269, 898, 781, 2629, 547, 3643, 513, 4387, 585, 6296, 4255, 543, 18362, 547, 1832, 513, 2673, 3750, 593, 519, 2783, 540, 707, 2295, 563, 1103, 3932, 267, 519, 2295, 568, 606, 1271, 543, 7294, 1418, 602, 15450, 1973, 2429, 519, 1560, 543, 2488, 5135, 543, 6484, 547, 4105, 8219, 269, 898, 568, 1898, 547, 24569, 1434, 1072, 269, 634, 2295, 13408, 1896, 2694, 267, 1519, 519, 693, 6319, 267, 28602, 956, 267, 31027, 636, 267, 17901, 267, 18337, 16209, 267, 543, 1973, 8043, 563, 31010, 513, 2635, 2295, 568, 1898, 585, 2949, 1134, 5630, 543, 2298, 540, 1272, 269, 6736, 922, 2956, 267, 972, 616, 1082, 20887, 543, 14868, 827, 519, 2295, 267, 543, 621, 781, 1271, 547, 723, 4977, 1344, 547, 3895, 1434, 2295, 1072, 269, 634, 2295, 949, 581, 6854, 2635, 998, 2834, 2638, 5725, 267, 513, 2635, 6197, 267, 543, 2656, 2564, 3007, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19399, 19399, 5992, 2971, 2162, 454, 258, 5254, 11286, 28313, 281, 20861, 476, 274, 281, 2859, 4359, 16150, 532, 269, 31698, 875, 547, 1246, 1412, 10113, 262, 3097, 258, 6402, 689, 2985, 547, 2985, 281, 946, 3252, 267, 865, 596, 666, 1289, 519, 1482, 3009, 3097, 258, 14578, 269, 14662, 4629, 17247, 9215, 5990, 645, 5588, 307, 6865, 9215, 590, 7417, 5990, 5254, 11286, 5508, 5990, 590, 10135, 4338, 2207, 563, 19399, 19399, 5992, 2971, 2162, 692, 5814, 22696, 704, 342, 5942, 454, 5814, 29250, 27785, 454, 5814, 561, 343, 6447, 11258, 692, 258, 1085, 7275, 4671, 762, 1599, 281, 4991, 5293, 606, 1367, 2985, 547, 1085, 7275, 454, 3698, 1085, 7275, 4671, 762, 20172, 2567, 1948, 3597, 4756, 3989, 538, 1085, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 281, 16163, 525, 1535, 6447, 689, 29250, 454, 825, 9343, 815, 3597, 6983, 1087, 572, 937, 2891, 14456, 8442, 476, 1948, 2824, 338, 782, 2999, 14456, 285, 7161, 454, 825, 585, 4737, 538, 9343, 912, 1038, 1948, 5590, 909, 938, 1239, 2594, 910, 649, 3513, 991, 621, 2663, 454, 1038, 2594, 815, 31460, 1038, 3349, 318, 3250, 338, 815, 4737, 6983, 1087, 572, 937, 2891, 11575, 8442, 1948, 1349, 1591, 538, 519, 3349, 607, 596, 8520, 998, 621, 454, 1038, 952, 3349, 318, 3250, 338, 281, 1948, 952, 972, 616, 1022, 2281, 454, 2018, 2594, 9131, 305, 864, 322, 6847, 11172, 815, 3349, 318, 3250, 338, 314, 271, 4940, 3667, 318, 20880, 3890, 1948, 2322, 519, 1257, 1063, 1142, 11090, 538, 513, 4756, 1572, 2594, 267, 2189, 1883, 568, 7376, 454, 2018, 2594, 9131, 11754, 816, 543, 25439, 7089, 11172, 815, 3349, 318, 3250, 338, 314, 272, 4940, 3667, 318, 20880, 4590, 2018, 1948, 7179, 856, 519, 1239, 649, 4312, 10356, 454, 2018, 1820, 2594, 267, 1412, 1366, 955, 7055, 2018, 1948, 7053, 267, 4688, 519, 2594, 547, 519, 3611, 770, 648, 910, 1412, 9209, 626, 262, 568, 938, 2189, 1883, 454, 2018, 22696, 704, 342, 5942, 4732, 27942, 924, 4732, 1511, 8443, 257, 305, 864, 322, 6847, 257, 3910, 2594, 994, 13872, 258, 1085, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 1599, 281, 7125, 519, 1085, 7275, 4671, 762, 454, 258, 1599, 267, 1287, 6968, 338, 585, 513, 1412, 10113, 262, 3095, 281, 952, 835, 568, 1336, 267, 7125, 3294, 1586, 454, 3698, 1085, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 263, 14766, 2187, 825, 1948, 1085, 7275, 602, 29250, 454, 825, 16814, 815, 22696, 704, 342, 5942, 31892, 7275, 263, 14766, 994, 825, 1948, 1820, 856, 519, 9115, 454, 825, 1948, 1820, 16814, 454, 825, 1948, 16163, 525, 519, 1535, 6447, 689, 519, 29250, 883, 606, 3693, 888, 825, 3597, 815, 561, 343, 6447, 11258, 269, 5228, 11415, 263, 6255, 6447, 994, 825, 1948, 1085, 7275, 519, 3349, 543, 4558, 621, 538, 1239, 2594, 1305, 909, 538, 3105, 1599, 454, 825, 1085, 7275, 4671, 762, 20172, 994, 825, 692, 258, 476, 5785, 14343, 734, 8894, 258, 5254, 11286, 28313, 281, 5581, 707, 4358, 15745, 910, 1287, 3097, 258, 1289, 513, 1599, 547, 1085, 7275, 621, 454, 258, 476, 5785, 14343, 734, 8894, 11034, 532, 318, 14766, 815, 1412, 10674, 2517, 4178, 16896, 329, 15736, 2593, 270, 15869, 322, 12973, 11258, 7055, 258, 29250, 27785, 9397, 909, 519, 29250, 676, 1315, 269, 29250, 27785, 269, 14766, 21860, 10905, 1079, 2712, 3149, 1927, 563, 2675, 7275, 318, 663, 9078, 809, 318, 1721, 318, 10113, 9078, 1074, 263, 11034, 532, 318, 14766, 994, 0, 258, 290, 2316, 476, 8099, 1477, 258, 300, 275, 295, 310, 272, 32707, 2700, 13488, 539, 1477, 258, 292, 7079, 623, 4883, 749, 1477, 258, 1556, 270, 866, 270, 1704, 5897, 14588, 539, 815, 476, 3583, 5897, 5503, 815, 476, 277, 5897, 5503, 10521, 815, 476, 1015, 5897, 5503, 16248, 815, 476, 1428, 5897, 323, 2700, 5475, 277, 815, 10581, 4433, 32497, 2608, 942, 10142, 323, 2700, 5475, 1015, 815, 10581, 4433, 32497, 2608, 942, 10521, 10142, 323, 2700, 5475, 1428, 815, 10581, 4433, 32497, 2608, 942, 16248, 3418, 5897, 2745, 18011, 288, 1286, 568, 10707, 693, 476, 3583, 5195, 829, 5662, 269, 18224, 519, 1739, 281, 262, 10142, 2745, 263, 1412, 291, 2700, 538, 476, 277, 3108, 281, 3299, 10581, 5560, 2700, 5475, 277, 17903, 2745, 263, 1412, 291, 2700, 538, 476, 1015, 3108, 281, 3299, 10581, 5560, 2700, 5475, 1015, 17903, 2745, 263, 1412, 291, 2700, 538, 476, 1428, 3108, 281, 22207, 10581, 5560, 2700, 5475, 1428, 264, 10142, 0, 454, 258, 3070, 585, 519, 12928, 2355, 871, 1966, 912, 258, 4179, 2517, 523, 25769, 3820, 28293, 270, 298, 333, 2355, 871, 318, 2889, 12378, 454, 16482, 258, 1505, 281, 3375, 3529, 538, 4999, 609, 19147, 543, 1230, 20960, 454, 16482, 258, 630, 290, 264, 476, 1708, 272, 7671, 670, 1993, 10458, 2999, 325, 17213, 19544, 1993, 10458, 287, 1030, 14833, 19709, 11417, 258, 1234, 548, 1078, 896, 717, 26214, 5398, 17821, 476, 273, 269, 271, 692, 5228, 1726, 523, 1712, 1104, 30741, 692, 3698, 1628, 21698, 3799, 13246, 267, 2139, 22129, 267, 2698, 267, 3105, 11966, 2187, 825, 3529, 815, 11713, 825, 6843, 3674, 11749, 573, 815, 6936, 692, 825, 1948, 1820, 3355, 4567, 454, 825, 1297, 8170, 2005, 2114, 815, 7003, 3799, 13246, 994, 825, 1820, 2891, 19515, 825, 1820, 2891, 11133, 1499, 281, 14307, 2338, 994, 825, 1820, 2891, 20412, 908, 519, 2009, 10659, 281, 585, 513, 5021, 4390, 540, 4939, 328, 257, 4939, 2139, 22129, 2020, 825, 952, 630, 15893, 8170, 2005, 2114, 2652, 476, 271, 2187, 1038, 1820, 2891, 12921, 6235, 8900, 1592, 540, 2338, 5602, 1038, 6843, 815, 11713, 825, 8640, 630, 15893, 8170, 2005, 2114, 2652, 476, 272, 2187, 1038, 1871, 815, 2338, 314, 271, 6540, 1038, 1948, 973, 531, 1529, 622, 2139, 543, 1031, 2230, 454, 1038, 952, 630, 19989, 22129, 13843, 1871, 2187, 2018, 2139, 22129, 815, 2139, 22129, 910, 1871, 454, 2018, 2698, 815, 2698, 1341, 1871, 454, 1038, 3116, 912, 2018, 1948, 519, 2838, 2230, 568, 1932, 1507, 454, 2018, 6843, 3674, 11749, 573, 815, 8771, 692, 1038, 1948, 20006, 513, 1007, 6843, 454, 1038, 6843, 815, 30741, 263, 7407, 267, 2139, 22129, 267, 2698, 2020, 1038, 1820, 2891, 611, 4765, 1007, 6843, 24333, 1871, 994, 1038, 952, 630, 27161, 3674, 11749, 573, 2652, 8771, 2187, 2018, 1820, 2891, 27161, 568, 23380, 5602, 2018, 6843, 15630, 1103, 20777, 4590, 1038, 3116, 912, 2018, 6843, 15630, 11749, 573, 10797, 1038, 1820, 2891, 19989, 2230, 2451, 281, 4939, 328, 257, 4939, 2139, 22129, 994, 1038, 1820, 2891, 11898, 538, 946, 24333, 2698, 2020, 825, 3116, 912, 1038, 1948, 5173, 519, 544, 1342, 23057, 6221, 454, 1038, 6843, 303, 3789, 815, 703, 28840, 8170, 2005, 2114, 270, 273, 994, 1038, 1871, 815, 2338, 19559, 1712, 303, 3789, 6540, 1038, 1948, 973, 531, 1529, 622, 2139, 543, 1031, 2230, 454, 1038, 952, 630, 19989, 22129, 13843, 1871, 2187, 2018, 2139, 22129, 815, 2139, 22129, 910, 1871, 454, 2018, 2698, 815, 2698, 1341, 1871, 454, 1038, 3116, 912, 2018, 1948, 519, 2838, 2230, 568, 1932, 1507, 454, 2018, 6843, 3674, 11749, 573, 815, 8771, 692, 1038, 1948, 20006, 713, 6843, 607, 513, 1007, 6843, 454, 1038, 6843, 815, 30741, 263, 7407, 267, 2139, 22129, 267, 2698, 2020, 1038, 1820, 2891, 611, 4765, 1007, 6843, 24333, 1871, 994, 1038, 952, 630, 27161, 3674, 11749, 573, 2652, 8771, 2187, 2018, 1820, 2891, 27161, 568, 23380, 5602, 2018, 6843, 15630, 1103, 20777, 4590, 1038, 3116, 912, 2018, 6843, 15630, 11749, 573, 10797, 1038, 1820, 2891, 19989, 2230, 2451, 281, 4939, 328, 257, 4939, 2139, 22129, 994, 1038, 1820, 2891, 11898, 538, 946, 24333, 2698, 2020, 1038, 1948, 5173, 5705, 872, 585, 519, 2338, 2451, 540, 519, 6843, 1871, 454, 1038, 2451, 8138, 29728, 815, 1628, 21698, 3799, 13246, 314, 271, 281, 27161, 303, 3789, 3910, 2139, 22129, 267, 2698, 267, 6843, 994, 1038, 952, 630, 6352, 263, 3847, 8138, 29728, 15892, 2018, 1101, 11966, 815, 2451, 8138, 29728, 314, 271, 2639, 2018, 952, 568, 27349, 6600, 1009, 11966, 267, 30741, 2187, 3546, 952, 630, 14140, 11966, 18994, 1103, 20777, 11966, 3890, 2187, 7386, 1948, 23380, 9136, 4866, 547, 519, 1318, 2427, 454, 7386, 6843, 15630, 14738, 263, 3847, 8138, 29728, 994, 3546, 3116, 912, 7386, 1948, 4570, 9136, 4866, 547, 519, 2451, 2427, 454, 7386, 6843, 15630, 29381, 263, 3847, 8138, 29728, 2020, 1038, 1948, 5173, 5705, 872, 585, 519, 2338, 1318, 540, 519, 6843, 1871, 454, 1038, 952, 630, 27161, 303, 3789, 2999, 1297, 8170, 2005, 2114, 2187, 2018, 1318, 8138, 29728, 815, 1628, 21698, 3799, 13246, 19559, 1712, 303, 3789, 266, 272, 281, 3910, 2139, 22129, 267, 2698, 267, 6843, 994, 1038, 3116, 912, 2018, 1318, 8138, 29728, 815, 11713, 1038, 952, 630, 6352, 263, 2431, 8138, 29728, 15892, 2018, 1101, 11966, 815, 1318, 8138, 29728, 314, 271, 2639, 2018, 952, 568, 27349, 6600, 1009, 11966, 267, 30741, 2187, 3546, 952, 630, 14140, 11966, 18994, 1103, 20777, 11966, 3890, 2187, 7386, 1948, 23380, 9136, 4866, 547, 519, 1318, 2427, 454, 7386, 6843, 15630, 14738, 263, 2431, 8138, 29728, 994, 3546, 3116, 912, 7386, 1948, 4570, 9136, 4866, 547, 519, 2451, 2427, 454, 7386, 6843, 15630, 29381, 263, 2431, 8138, 29728, 2020, 825, 1948, 1039, 519, 9241, 3710, 6843, 547, 519, 3529, 454, 825, 3529, 6910, 27316, 2020, 825, 1820, 6025, 872, 994, 825, 2132, 3529, 692, 3698, 1820, 21698, 27316, 2187, 825, 1267, 815, 11713, 825, 952, 6843, 568, 7183, 912, 1038, 1820, 2891, 24105, 6843, 5602, 1038, 2132, 7183, 692, 825, 952, 630, 6943, 27316, 264, 568, 1592, 2187, 1038, 1820, 2891, 4289, 5602, 1038, 585, 1016, 11966, 538, 6843, 912, 2018, 1267, 815, 1820, 21698, 4433, 889, 11966, 2020, 825, 952, 630, 529, 27349, 27316, 267, 30741, 15892, 1038, 1871, 815, 6843, 10947, 10574, 4590, 1038, 1820, 2891, 27161, 24333, 1871, 994, 1038, 952, 711, 6843, 18994, 1103, 20777, 11966, 10031, 2018, 1267, 6910, 263, 7407, 2020, 1038, 2451, 8138, 29728, 815, 6843, 10947, 29381, 4590, 1038, 952, 2451, 8138, 29728, 568, 711, 7183, 912, 2018, 1820, 2891, 3847, 5705, 872, 540, 4939, 328, 630, 11034, 17983, 4939, 1871, 994, 2018, 1267, 6910, 263, 2745, 21698, 263, 3847, 8138, 29728, 4917, 2018, 1820, 2891, 3847, 5705, 872, 540, 4939, 328, 630, 754, 17983, 476, 4939, 1871, 2020, 1038, 1318, 8138, 29728, 815, 6843, 10947, 14738, 4590, 1038, 952, 1318, 8138, 29728, 568, 711, 7183, 912, 2018, 1820, 2891, 2431, 5705, 872, 540, 4939, 328, 630, 11034, 17983, 476, 4939, 1871, 994, 2018, 1267, 6910, 263, 2745, 21698, 263, 2431, 8138, 29728, 4917, 2018, 1820, 2891, 2431, 5705, 872, 540, 4939, 328, 630, 754, 17983, 4939, 1871, 2020, 825, 2132, 1267, 692, 3698, 24609, 8266, 16597, 2187, 825, 1948, 12055, 908, 936, 519, 1239, 454, 825, 585, 3693, 538, 1239, 912, 1038, 1948, 10992, 585, 1592, 454, 1038, 952, 1826, 16216, 2211, 264, 2652, 1592, 912, 2018, 1948, 10912, 519, 1482, 1599, 609, 1699, 3693, 607, 1007, 4661, 454, 2018, 24609, 8266, 16216, 2211, 994, 1038, 3116, 912, 2018, 6366, 8266, 6910, 16216, 2211, 994, 825, 2132, 692, 258, 5581, 5021, 4390, 540, 519, 9126, 454, 10946, 3065, 22479, 13369, 815, 476, 1428, 692, 258, 5581, 519, 2597, 540, 519, 2582, 3688, 454, 11133, 1499, 815, 1496, 276, 267, 476, 1321, 267, 476, 274, 267, 476, 275, 267, 476, 2918, 267, 476, 279, 267, 476, 1724, 267, 476, 272, 267, 476, 278, 267, 476, 1556, 267, 476, 3451, 267, 476, 1015, 6540, 258, 4990, 2338, 538, 26799, 1931, 454, 11133, 1499, 31699, 4590, 2745, 2891, 338, 9285, 2338, 281, 14307, 2338, 2020, 258, 4894, 2338, 602, 9765, 519, 5021, 4390, 540, 519, 9126, 454, 1721, 2990, 538, 2039, 12759, 3799, 13246, 15892, 825, 952, 630, 11133, 1499, 314, 6570, 316, 3436, 5021, 22479, 13369, 2187, 1038, 2338, 815, 2338, 314, 271, 281, 6570, 2639, 1038, 2736, 692, 2745, 2891, 30236, 539, 1871, 1305, 24333, 2338, 2020, 258, 5581, 2698, 454, 20135, 815, 476, 271, 692, 258, 5173, 3529, 454, 29728, 815, 1628, 21698, 3799, 13246, 267, 5021, 22479, 13369, 267, 2698, 267, 7183, 2020, 2745, 2891, 19515, 14310, 815, 1820, 21698, 6025, 872, 2020, 258, 24609, 519, 3977, 630, 333, 6479, 1592, 994, 29788, 8266, 815, 11713, 29788, 1084, 8266, 31114, 994, 2745, 2891, 19515, 2745, 2891, 14310, 630, 821, 2009, 3070, 2567, 2580, 6366, 8266, 994, 0, 18411, 1326, 20189, 1662, 4590, 734, 285 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 2020, 825, 1219, 909, 318, 663, 18425, 4311, 267, 11064, 2187, 1038, 5727, 3328, 540, 31680, 2628, 26160, 8173, 1038, 2628, 26160, 815, 27883, 306, 3436, 11064, 264, 2608, 3193, 22829, 910, 1582, 21993, 267, 476, 271, 264, 585, 590, 538, 1582, 4877, 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 994, 1038, 2132, 2628, 4752, 2608, 1163, 8987, 1345, 25331, 2608, 1582, 6745, 2020, 825, 1219, 1524, 318, 663, 318, 719, 4311, 267, 11064, 2187, 1038, 5727, 3328, 540, 31680, 2628, 26160, 8173, 1038, 2628, 26160, 815, 27883, 306, 3436, 11064, 264, 2608, 3193, 4311, 21993, 910, 590, 267, 476, 271, 264, 585, 590, 538, 1582, 4877, 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 994, 1038, 2132, 2628, 4752, 2608, 1163, 8987, 1345, 25331, 2608, 1582, 6745, 2020, 825, 1219, 1524, 318, 663, 18425, 4311, 267, 11064, 2187, 1038, 5727, 3328, 540, 31680, 2628, 26160, 8173, 1038, 2628, 26160, 815, 27883, 306, 2999, 11064, 264, 2608, 3193, 4311, 21993, 910, 590, 267, 476, 271, 264, 585, 590, 538, 1582, 4877, 4631, 318, 520, 318, 3901, 12053, 2639, 1038, 2628, 4752, 815, 5286, 32557, 9638, 599, 26160, 994, 1038, 2132, 2628, 4752, 2608, 1163, 8987, 1345, 25331, 2608, 1582, 6745, 264, 0, 258, 9377, 514, 785, 334, 579, 2742, 1187, 23843, 8585, 613, 454, 3698, 19467, 5416, 28872, 267, 336, 267, 325, 2187, 825, 1948, 572, 329, 600, 562, 272, 552, 562, 273, 1016, 525, 11985, 9809, 657, 632, 513, 454, 825, 562, 272, 284, 336, 1790, 266, 272, 454, 825, 562, 273, 284, 325, 268, 336, 454, 825, 561, 17342, 271, 30297, 333, 272, 454, 825, 678, 17342, 271, 30297, 333, 273, 692, 825, 585, 1775, 538, 2039, 630, 271, 267, 562, 272, 2187, 1038, 561, 5157, 24557, 320, 314, 335, 266, 328, 2639, 825, 585, 795, 538, 2039, 630, 271, 19885, 273, 2187, 1038, 678, 14728, 24557, 320, 314, 336, 266, 272, 266, 329, 2639, 22322, 825, 544, 284, 271, 454, 825, 562, 284, 271, 454, 825, 737, 284, 335, 454, 825, 454, 825, 1247, 544, 283, 562, 272, 543, 562, 283, 562, 273, 912, 11434, 952, 561, 314, 332, 316, 27045, 337, 19559, 14158, 2018, 513, 25208, 24557, 331, 314, 332, 2639, 2018, 544, 284, 332, 266, 272, 4449, 17264, 3097, 4449, 454, 11434, 3116, 912, 2018, 513, 25208, 24557, 337, 19559, 2639, 2018, 562, 284, 333, 266, 272, 454, 27030, 11434, 737, 284, 330, 266, 272, 454, 825, 454, 825, 1247, 544, 283, 333, 272, 912, 1038, 513, 25208, 24557, 331, 314, 332, 2639, 1038, 544, 284, 332, 266, 272, 454, 1038, 737, 284, 330, 266, 272, 454, 825, 1247, 562, 283, 333, 273, 912, 1038, 513, 25208, 24557, 337, 19559, 2639, 1038, 562, 284, 333, 266, 272, 454, 1038, 737, 284, 330, 266, 272, 454, 825, 454, 825, 2132, 513, 692, 258, 9377, 514, 785, 334, 513, 1187, 23843, 16571, 10216, 12388, 525, 677, 454, 3698, 12388, 525, 677, 5416, 28872, 267, 325, 2567, 3097, 825, 952, 533, 2999, 535, 281, 3097, 22322, 1038, 1948, 4347, 514, 785, 334, 522, 834, 339, 16120, 14833, 257, 13121, 1016, 557, 1729, 637, 454, 1038, 544, 815, 630, 335, 23444, 325, 268, 272, 4297, 2260, 273, 454, 22322, 1038, 1948, 661, 1598, 583, 3120, 16571, 10216, 16948, 1016, 323, 1204, 597, 15259, 1016, 525, 11985, 9809, 657, 693, 2946, 6446, 454, 453, 258, 522, 14585, 571, 533, 27045, 325, 454, 1038, 12388, 525, 677, 5416, 267, 533, 267, 544, 264, 3097, 1038, 12388, 525, 677, 5416, 267, 544, 266, 272, 267, 535, 264, 3097, 1038, 19467, 5416, 267, 533, 267, 544, 267, 535, 994, 825, 2132, 513, 692, 258, 700, 754, 334, 19804, 818, 638, 16343, 1547, 339, 868, 900, 5124, 910, 818, 638, 16343, 1100, 454, 258, 6996, 15879, 25680, 339, 6759, 339, 1470, 798, 1982, 320, 692, 331, 17342, 316, 1948, 3616, 4673, 23843, 632, 19804, 17022, 528, 593, 1372, 1583, 14244, 6186, 1794, 523, 15606, 15259, 546, 15606, 632, 682, 527, 3120, 780, 258, 13070, 7702, 267, 1583, 5451, 561, 18480, 522, 818, 638, 16343, 13274, 3873, 11188, 13274, 3873, 552, 524, 3385, 13274, 3873, 1583, 5451, 6186, 1794, 523, 3385, 454, 258, 3534, 4717, 523, 3385, 834, 328, 257, 798, 17022, 528, 780, 325, 284, 13449, 2891, 322, 719, 532, 17902, 2580, 834, 337, 5602, 1721, 1899, 538, 535, 912, 11434, 585, 562, 538, 1899, 21858, 3488, 1412, 2187, 19930, 561, 6910, 3799, 994, 2745, 2891, 309, 564, 528, 561, 18480, 552, 964, 867, 523, 5964, 8442, 2018, 454, 2745, 10857, 2020, 258, 9377, 514, 790, 21573, 522, 8884, 334, 632, 3921, 6511, 23843, 2698, 798, 17022, 528, 561, 267, 522, 340, 694, 10937, 267, 16948, 533, 284, 271, 552, 678, 284, 323, 6036, 14244, 798, 17022, 528, 561, 8528, 335, 284, 271, 692, 337, 284, 6352, 10857, 9984, 272, 692, 341, 284, 1067, 2471, 677, 10857, 267, 271, 267, 6352, 10857, 9984, 272, 994, 2745, 4590, 2745, 2891, 309, 564, 528, 3921, 523, 5964, 10652, 334, 12388, 525, 677, 281, 5602, 2745, 17635, 2020, 7531, 0, 5814, 2979, 454, 5814, 1770, 11687, 454, 5228, 6824, 1104, 26271, 7531, 5035, 26271, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 14818, 519, 2409, 543, 4020, 528, 540, 519, 26271, 1362, 269, 29185, 825, 1219, 1449, 23919, 4311, 2187, 1038, 535, 815, 26271, 263, 274, 267, 910, 272, 994, 1038, 1582, 27863, 2891, 268, 274, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 271, 267, 476, 276, 994, 1038, 1582, 27863, 2891, 271, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 2568, 267, 476, 3445, 994, 1038, 1582, 27863, 2891, 273, 270, 274, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 5611, 271, 267, 476, 2568, 994, 1038, 1582, 27863, 2891, 1839, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 5611, 271, 267, 476, 3445, 994, 1038, 1582, 27863, 2891, 2004, 270, 274, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 8987, 3199, 267, 476, 736, 994, 1038, 1582, 27863, 2891, 268, 275, 2580, 535, 14857, 1598, 1029, 15405, 1038, 535, 815, 26271, 263, 3607, 267, 910, 2568, 994, 1038, 1582, 27863, 2891, 268, 274, 270, 276, 2580, 535, 14857, 1598, 1029, 15405, 1038, 1948, 20472, 528, 1058, 1683, 9949, 14009, 815, 476, 272, 454, 1038, 535, 815, 26271, 263, 4200, 994, 1038, 1582, 27863, 2891, 4200, 2580, 535, 14857, 1598, 1029, 31156, 825, 1948, 570, 7495, 302, 3503, 4255, 585, 6449, 8181, 1029, 267, 6449, 18091, 1029, 267, 1341, 267, 2608, 563, 825, 1948, 3371, 568, 606, 1383, 267, 855, 596, 1590, 1039, 811, 1449, 2665, 269, 22322, 825, 1948, 634, 1449, 3340, 602, 707, 6449, 18091, 1029, 568, 2953, 780, 825, 1219, 1449, 318, 5417, 4311, 2187, 1038, 1948, 476, 274, 270, 275, 815, 476, 273, 270, 274, 1341, 476, 272, 270, 1321, 454, 1038, 1582, 27863, 263, 293, 3555, 263, 274, 267, 275, 1070, 26271, 263, 272, 267, 1321, 264, 1341, 26271, 263, 273, 267, 274, 4917, 1038, 1948, 1205, 2898, 1297, 1310, 1840, 454, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 1070, 26271, 263, 272, 267, 273, 264, 1341, 26271, 263, 272, 267, 273, 4917, 1038, 1948, 1205, 6824, 1310, 1840, 609, 2898, 1297, 454, 1038, 1582, 27863, 263, 293, 3555, 263, 280, 267, 275, 1070, 26271, 263, 273, 264, 1341, 26271, 263, 272, 267, 275, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 271, 1070, 26271, 263, 273, 264, 1341, 26271, 263, 272, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 272, 1070, 26271, 263, 273, 267, 272, 264, 1341, 26271, 263, 271, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 272, 1070, 26271, 263, 271, 267, 271, 264, 1341, 26271, 263, 273, 267, 272, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 271, 1070, 26271, 263, 272, 267, 272, 264, 1341, 26271, 263, 273, 267, 271, 11723, 1038, 609, 1582, 20596, 26244, 2478, 263, 13911, 13286, 2187, 2018, 26271, 263, 272, 267, 272, 264, 1341, 834, 310, 302, 9816, 5016, 825, 1219, 1449, 8548, 592, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 274, 1070, 26271, 263, 272, 12684, 293, 3555, 263, 273, 267, 274, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 273, 267, 280, 1070, 26271, 263, 272, 267, 274, 12684, 26271, 263, 273, 267, 274, 4917, 1038, 609, 1582, 20596, 26244, 2478, 263, 13911, 13286, 2187, 19930, 26271, 263, 272, 267, 476, 275, 264, 2608, 1412, 272, 7055, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 271, 1070, 26271, 263, 272, 267, 271, 12684, 26271, 263, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 8987, 272, 267, 271, 1070, 26271, 8987, 272, 267, 274, 12684, 26271, 263, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 8987, 272, 267, 271, 1070, 26271, 8987, 272, 267, 271, 12684, 26271, 263, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 8987, 272, 267, 271, 1070, 26271, 263, 272, 267, 271, 12684, 26271, 8987, 273, 267, 271, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 271, 267, 271, 1070, 26271, 263, 271, 267, 271, 12684, 293, 3555, 263, 272, 267, 476, 273, 11723, 825, 1219, 1449, 318, 18091, 4311, 2187, 1038, 535, 815, 26271, 263, 272, 267, 273, 994, 1038, 575, 815, 26271, 8987, 2412, 16427, 3199, 994, 1038, 554, 815, 26271, 263, 1911, 876, 267, 1220, 4905, 264, 1948, 711, 3833, 476, 272, 270, 273, 454, 1038, 1102, 815, 26271, 263, 272, 267, 476, 271, 994, 1038, 562, 318, 8882, 318, 821, 815, 26271, 8987, 272, 267, 476, 271, 994, 1038, 562, 318, 8882, 4671, 6851, 815, 26271, 8987, 6344, 9083, 22145, 273, 267, 476, 271, 994, 1038, 1582, 20596, 12148, 6600, 2652, 575, 994, 1038, 1582, 20596, 12148, 6600, 14857, 18091, 9191, 326, 4297, 476, 1948, 1482, 3364, 454, 1038, 1582, 20596, 16178, 6600, 2652, 554, 994, 1038, 1582, 20596, 16178, 6600, 14857, 18091, 9191, 327, 4917, 1038, 1948, 307, 7495, 302, 2328, 811, 4255, 1210, 824, 2665, 563, 1038, 1948, 6333, 2027, 2418, 899, 476, 271, 267, 476, 272, 270, 271, 267, 910, 272, 270, 271, 454, 1038, 1948, 910, 272, 270, 271, 2652, 910, 6344, 9083, 22145, 273, 270, 271, 2258, 318, 8882, 6541, 2652, 2258, 318, 8882, 6541, 454, 1038, 1582, 20596, 12148, 3799, 318, 8882, 318, 821, 2652, 562, 318, 8882, 4671, 6851, 994, 1038, 1948, 2258, 318, 8882, 6541, 11203, 20581, 454, 1038, 1582, 20596, 16178, 3799, 318, 8882, 318, 821, 2652, 1102, 994, 1038, 1948, 20581, 11203, 3339, 6824, 454, 1038, 1582, 20596, 16178, 263, 8882, 2652, 535, 2020, 825, 1219, 1449, 5334, 889, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 275, 1070, 26271, 263, 273, 267, 476, 275, 9984, 293, 3555, 263, 272, 267, 476, 275, 4917, 1038, 609, 1582, 20596, 26244, 2478, 263, 13911, 13286, 2187, 2018, 26271, 263, 272, 267, 476, 275, 264, 910, 476, 272, 22562, 825, 1219, 1449, 14682, 339, 4311, 2187, 1038, 1582, 20596, 12148, 263, 293, 3555, 263, 272, 264, 3436, 26271, 263, 272, 267, 273, 4917, 1038, 1582, 20596, 16178, 263, 293, 3555, 263, 272, 264, 3436, 26271, 263, 272, 4917, 8931, 825, 1219, 1449, 318, 10864, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 476, 273, 1070, 910, 293, 3555, 8987, 272, 267, 476, 273, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 910, 273, 1070, 910, 293, 3555, 263, 272, 267, 476, 273, 11723, 825, 1219, 1449, 318, 8882, 318, 10864, 318, 8882, 4311, 2187, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 476, 271, 1070, 26271, 263, 272, 267, 476, 271, 11924, 26271, 263, 272, 267, 476, 273, 4917, 1038, 1582, 27863, 263, 293, 3555, 263, 272, 267, 476, 271, 1070, 26271, 263, 272, 267, 476, 271, 12684, 26271, 263, 272, 267, 476, 273, 11723, 825, 1219, 1449, 23919, 318, 8882, 4311, 2187, 1038, 1582, 27863, 2891, 17463, 20581, 2580, 630, 293, 3555, 8987, 272, 267, 476, 271, 1040, 1029, 1598, 1029, 3890, 4917, 1038, 1582, 27863, 2891, 8882, 6541, 2580, 630, 293, 3555, 263, 272, 267, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 674, 294, 318, 306, 318, 22333, 318, 307, 273, 3436, 674, 294, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 674, 307, 318, 306, 318, 22333, 318, 307, 272, 3436, 674, 307, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 8640, 674, 307, 318, 306, 318, 22333, 318, 307, 273, 3436, 674, 307, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 952, 6751, 274, 318, 306, 318, 22333, 318, 307, 272, 3436, 6751, 274, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 8640, 6751, 274, 318, 306, 318, 22333, 318, 307, 273, 3436, 6751, 274, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 952, 589, 4306, 318, 306, 318, 22333, 318, 307, 272, 3436, 589, 4306, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 8640, 589, 4306, 318, 306, 318, 22333, 318, 307, 273, 3436, 589, 4306, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 952, 11555, 289, 318, 306, 318, 22333, 318, 307, 272, 3436, 11555, 289, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 11555, 289, 318, 306, 318, 22333, 318, 307, 273, 3436, 11555, 289, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 5254, 299, 318, 306, 318, 22333, 318, 307, 272, 3436, 5254, 299, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 5254, 299, 318, 306, 318, 22333, 318, 307, 273, 3436, 5254, 299, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 19154, 298, 318, 306, 318, 22333, 318, 307, 272, 3436, 19154, 298, 318, 306, 318, 22333, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 19154, 298, 318, 306, 318, 22333, 318, 307, 273, 3436, 19154, 298, 318, 306, 318, 22333, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 5897, 825, 1820, 2891, 22333, 14744, 825, 1820, 6025, 272, 318, 16651, 9557, 3418, 825, 1820, 6025, 273, 318, 16651, 9557, 10142, 825, 5727, 1477, 1038, 19766, 22664, 5254, 2752, 16249, 590, 9816, 302, 16249, 30316, 2752, 9169, 11123, 645, 30862, 23140, 4456, 306, 28313, 1477, 825, 5727, 1477, 825, 1820, 263, 1477, 1038, 27719, 333, 21008, 532, 18786, 1744, 17415, 2871, 1841, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 5635, 307, 311, 307, 6910, 2891, 21008, 532, 18786, 1744, 17415, 2871, 1841, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 1948, 12243, 476, 272, 4358, 590, 294, 28135, 1477, 825, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 2420, 15947, 825, 674, 294, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 278, 15947, 825, 674, 307, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 1724, 15947, 825, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 279, 316, 476, 1948, 6751, 274, 1797, 476, 274, 15014, 524, 15120, 9226, 3085, 1405, 899, 950, 596, 1376, 513, 4756, 2012, 609, 703, 32473, 3418, 825, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 866, 15947, 825, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 1240, 15947, 825, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 736, 15947, 825, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 272, 815, 590, 318, 306, 294, 318, 307, 272, 14067, 1846, 314, 2641, 316, 5897, 825, 1948, 12243, 476, 273, 4358, 590, 294, 28135, 1477, 825, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 2420, 15947, 825, 674, 294, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 278, 15947, 825, 674, 307, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1724, 15947, 825, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 279, 316, 476, 1948, 6751, 274, 1797, 476, 274, 15014, 524, 15120, 9226, 3085, 1405, 899, 950, 596, 1376, 513, 4756, 2012, 609, 703, 32473, 3418, 825, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 866, 15947, 825, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 1240, 15947, 825, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 736, 15947, 825, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 273, 815, 590, 318, 306, 294, 318, 307, 273, 14067, 1846, 314, 2641, 316, 5897, 825, 952, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 8640, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 623, 22333, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 274, 825, 1948, 476, 274, 1477, 825, 952, 674, 294, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 674, 294, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 674, 294, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 674, 294, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 674, 307, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 674, 307, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 674, 307, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 674, 307, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 8640, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 6751, 274, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 273, 1477, 825, 952, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 589, 4306, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 11555, 289, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 5254, 299, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 952, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 272, 3436, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 273, 6769, 1038, 512, 272, 318, 16651, 9557, 6834, 476, 272, 1477, 825, 8640, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 273, 3436, 19154, 298, 318, 306, 318, 306, 294, 318, 307, 272, 6769, 1038, 512, 273, 318, 16651, 9557, 6834, 476, 272, 5897, 825, 1820, 2891, 306, 294, 14744, 825, 1820, 6025, 272, 318, 16651, 9557, 3418, 825, 1820, 6025, 273, 318, 16651, 9557, 10142, 825, 5727, 1477, 1038, 19766, 22664, 5254, 2752, 16249, 15382, 17920, 11123, 310, 2752, 9169, 11123, 645, 30862, 23140, 4456, 306, 28313, 1477, 825, 5727, 1477, 825, 1820, 263, 1477, 1038, 27719, 333, 21008, 532, 18786, 9540, 1280, 2072, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 5635, 307, 311, 307, 6910, 263, 1477, 1038, 834, 21008, 532, 18786, 9540, 1280, 2072, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 272, 316, 1341, 834, 5288, 269, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 1477, 2018, 476, 273, 316, 1341, 834, 281, 834, 1341, 590, 318, 306, 293, 318, 307, 273, 14067, 1846, 314, 272, 316, 10142, 825, 1948, 12243, 476, 272, 4358, 24700, 28135, 1477, 825, 623, 22333, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 2420, 15947, 825, 674, 294, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 278, 15947, 825, 674, 307, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 1724, 15947, 825, 6751, 274, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 279, 316, 476, 1948, 6751, 274, 1797, 476, 274, 15014, 524, 15120, 9226, 3085, 1405, 899, 950, 596, 1376, 513, 4756, 2012, 609, 703, 32473, 3418, 825, 589, 4306, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307, 272, 14067, 1846, 314, 866, 15947, 825, 11555, 289, 318, 306, 318, 306, 293, 318, 307, 272, 815, 590, 318, 306, 293, 318, 307 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 264, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1852, 815, 6936, 454, 825, 1247, 1852, 912, 1038, 2119, 912, 2018, 6460, 9272, 2891, 5228, 29389, 1040, 21639, 19572, 3403, 2891, 1729, 29389, 1040, 21639, 19572, 703, 9272, 2891, 1432, 568, 519, 2179, 540, 9304, 286, 315, 333, 257, 21875, 2018, 16718, 318, 32491, 815, 3403, 2891, 304, 547, 16718, 256, 4964, 13673, 9898, 547, 3136, 29389, 1040, 21639, 4590, 2018, 952, 16718, 318, 32491, 2652, 1412, 304, 12466, 3546, 1852, 815, 8771, 692, 1038, 4849, 6206, 13286, 912, 2018, 1820, 2891, 10501, 6275, 711, 1336, 256, 8347, 1586, 907, 23528 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4783, 540, 6705, 945, 1185, 28953, 547, 519, 2749, 547, 960, 269, 4322, 2188, 9192, 547, 2087, 2804, 1134, 1373, 540, 519, 1920, 267, 6318, 26038, 267, 2061, 14000, 28872, 668, 1774, 2069, 543, 8190, 8105, 2245, 563, 23991, 8105, 568, 12873, 538, 519, 3148, 609, 2073, 30545, 26038, 543, 513, 1732, 13473, 2146, 269, 1280, 1027, 2804, 9194, 568, 7494, 21022, 267, 6518, 2337, 3500, 519, 6771, 540, 7486, 25266, 883, 891, 2950, 269, 22716, 529, 593, 3114, 1863, 8105, 543, 556, 16396, 2337, 547, 11177, 5892, 28811, 2244, 543, 8992, 5726, 3646, 799, 538, 2490, 723, 1279, 2165, 2640, 547, 519, 2146, 269, 5516, 568, 3144, 547, 1202, 675, 602, 19401, 616, 5402, 5116, 865, 607, 547, 948, 547, 3970, 2666, 1216, 22930, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 811, 20468, 827, 9561, 1379, 1282, 513, 7088, 610, 707, 6049, 12955, 28870, 998, 519, 1554, 269, 16319, 899, 2257, 5708, 267, 1318, 286, 1809, 621, 781, 1483, 267, 543, 789, 1289, 891, 6909, 6878, 834, 27273, 17238, 832, 6231, 3719, 7227, 267, 875, 1281, 713, 960, 286, 4270, 267, 1589, 827, 513, 5757, 13576, 19654, 269, 1403, 519, 5757, 5523, 568, 5347, 267, 519, 1216, 8928, 11884, 543, 3533, 269, 1717, 267, 952, 972, 616, 7725, 543, 27894, 2059, 519, 1259, 267, 930, 540, 519, 1216, 25815, 1524, 610, 1256, 13515, 15587, 1813, 547, 11508, 269, 901, 568, 2147, 547, 1018, 4523, 950, 5201, 7575, 998, 1034, 2326, 1107, 621, 10742, 4187, 543, 19380, 1648, 607, 3002, 780, 21841, 17238, 832, 267, 2705, 267, 723, 513, 2027, 8945, 909, 741, 19492, 1407, 269, 2311, 1360, 1970, 5210, 630, 17141, 2673, 547, 6207, 4642, 1070, 519, 8444, 3330, 873, 1376, 1969, 532, 8335, 267, 12180, 2933, 538, 971, 513, 1259, 602, 9211, 666, 23407, 1472, 1510, 1022, 12042, 8896, 269, 898, 781, 607, 952, 1346, 11315, 10007, 4012, 1227, 20374, 267, 3850, 519, 5757, 547, 2095, 796, 5793, 32152, 780, 3086, 267, 3314, 950, 594, 1767, 21367, 832, 991, 2731, 4411, 2175, 286, 17497, 267, 8236, 891, 5210, 3340, 5277, 9436, 610, 26775, 267, 799, 1522, 3280, 7543, 547, 3035, 3544, 513, 2978, 4259, 269, 1717, 267, 3744, 616, 2324, 2182, 547, 3605, 1007, 2010, 540, 21367, 832, 602, 1223, 7500, 693, 4055, 2837, 256, 5994, 2348, 12904, 8876, 1699, 2429, 707, 2777, 609, 3592, 1100, 2530, 540, 1648, 269, 30474, 3579, 267, 26001, 2496, 2026, 3173, 3136, 4974, 891, 2189, 2326, 267, 945, 6487, 1018, 824, 2247, 1532, 27172, 11580, 789, 949, 7866, 286, 9320, 835, 1554, 267, 649, 3513, 1294, 14884, 13735, 1657, 13475, 1210, 6419, 26550, 2787, 2029, 1759, 593, 21367, 2032, 269, 2107, 6148, 649, 3513, 1020, 4359, 2564, 9196, 3457, 610, 5488, 5904, 269, 634, 7399, 3100, 11995, 2439, 3383, 1985, 942, 2576, 19528, 21367, 832, 267, 596, 4465, 1405, 1175, 5873, 513, 11469, 1000, 3563, 282, 3079, 267, 596, 3513, 4605, 513, 9589, 1158, 1141, 5201, 8928, 24672, 267, 6679, 9885, 547, 9118, 10124, 269, 5901, 3695, 267, 1832, 15819, 267, 543, 1927, 267, 1577, 781, 12260, 519, 13655, 6456, 1369, 519, 14952, 748, 7706, 540, 2326, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4553, 1433, 5907, 3601, 540, 1164, 512, 322, 21367, 832, 519, 3339, 543, 14418, 568, 10703, 22133, 9937, 281, 1412, 711, 268, 1345, 282, 29717, 2659, 5133, 1572, 513, 5163, 602, 713, 4099, 1223, 27235, 581, 269, 634, 2359, 15244, 711, 1683, 267, 610, 10741, 2366, 1305, 269, 946, 3301, 610, 2068, 10665, 547, 946, 1018, 596, 7490, 14391, 908, 585, 563, 1504, 5907, 3601, 540, 1164, 512, 322, 21367, 832, 519, 3339, 543, 519, 21367, 532, 1533, 540, 2022, 12885, 3344, 28928, 543, 6896, 267, 799, 1797, 2228, 547, 11374, 18619, 538, 519, 12043, 269, 4107, 6923, 267, 5647, 3568, 513, 2707, 540, 519, 8231, 602, 6402, 23199, 21087, 1125, 1018, 519, 2450, 786, 543, 786, 2760, 581, 269, 6736, 713, 3903, 267, 1883, 1642, 574, 2787, 11269, 543, 561, 9704, 2161, 547, 3277, 21832, 23316, 2687, 11082, 610, 3029, 890, 9934, 9375, 10118, 540, 5163, 9375, 10118, 269, 1452, 23066, 15102, 616, 1455, 267, 7598, 547, 1439, 267, 543, 4935, 8307, 547, 31363, 585, 1620, 2665, 563, 2304, 1433, 540, 1582, 8410, 22633, 476, 274, 5937, 16105, 602, 10522, 593, 2990, 568, 896, 560, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 8748, 1158, 540, 3059, 14676, 256, 1403, 596, 2648, 2542, 2984, 2407, 540, 2962, 267, 7045, 267, 9644, 267, 543, 12416, 267, 1287, 596, 3513, 9090, 2972, 11362, 883, 519, 10477, 3817, 540, 3059, 14676, 269, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1079, 2442, 5867, 602, 1450, 596, 547, 3605, 543, 1224, 5215, 540, 13371, 2835, 2228, 910, 1290, 328, 311, 1108, 543, 513, 1390, 4244, 2147, 547, 631, 18553, 20837, 269, 1924, 10544, 707, 16979, 610, 16335, 267, 543, 1577, 781, 1205, 3323, 2439, 1262, 1432, 568, 1290, 328, 311, 1108, 15140, 5331, 2348, 513, 5691, 5399, 4904, 609, 7366, 540, 5215, 540, 13371, 2835, 689, 1585, 11964, 543, 21101, 5001, 269, 2334, 781, 1018, 1290, 328, 311, 1108, 3091, 256, 898, 781, 513, 3593, 7888, 267, 6531, 2861, 3028, 602, 13071, 596, 19584, 267, 6718, 267, 543, 1224, 3059, 14676, 20471, 267, 9170, 269, 2353, 596, 991, 568, 606, 4950, 4276, 543, 513, 3926, 971, 607, 513, 2780, 267, 16979, 267, 610, 16335, 269, 8528, 3719, 1946, 3442, 1290, 328, 311, 1108, 936, 2757, 1957, 14676, 286, 4270, 267, 972, 616, 1896, 5383, 1384, 272, 269, 2878, 5319, 1444, 958, 7874, 5093, 4595, 3388, 568, 3059, 267, 1100, 4054, 616, 2759, 1524, 547, 3132, 1957, 269, 901, 1797, 1447, 3653, 543, 7864, 8511, 9362, 19501, 1282, 2504, 543, 6283, 563, 273, 269, 2878, 22129, 9494, 5093, 7913, 14676, 1491, 909, 8766, 2230, 3379, 547, 2168, 3283, 269, 5994, 875, 1082, 10833, 596, 1131, 991, 547, 4558, 707, 3003, 4015, 952, 789, 941, 4890, 2835, 2336, 274, 269, 2878, 16966, 2225, 5093, 2060, 1175, 513, 1906, 30390, 610, 512, 2355, 267, 596, 666, 14678, 1569, 1022, 3390, 538, 707, 3059, 5399, 269, 3143, 811, 10478, 998, 588, 2931, 540, 2025, 2152, 610, 7996, 585, 1007, 13847, 547, 12446, 693, 8637, 563, 275, 269, 2878, 288, 742, 867, 1464, 5093, 3509, 3059, 14676, 1942, 1447, 982, 741, 1820, 13413, 267, 1818, 873, 606, 5140, 3903, 585, 6578, 23655, 3988, 269, 9578, 267, 2094, 972, 616, 1100, 11288, 12375, 610, 9204, 3773, 547, 1142, 6718, 267, 596, 4688, 1256, 811, 2724, 538, 519, 1279, 2196, 563, 276, 269, 2878, 2750, 5477, 1543, 5093, 2368, 21101, 5305, 12600, 2984, 1152, 2139, 25274, 267, 4758, 596, 2189, 2833, 28998, 11992, 780, 3086, 602, 649, 917, 1018, 1290, 328, 311, 1108, 568, 543, 930, 2640, 1577, 781, 2911, 827, 4466, 1390, 14676, 547, 1224, 269, 2290, 1259, 547, 798, 713, 568, 676, 3695, 1114, 11964, 1759, 593, 707, 4690, 269, 3657, 596, 513, 10178, 540, 27568, 286, 3973, 2638, 856, 17008, 689, 31733, 543, 9823, 22383, 256, 2776, 2536, 30682, 30816, 2984, 286, 15750, 2572, 899, 631, 18553, 20837, 723, 3893, 596, 4988, 256, 15439, 2824, 519, 1826, 540, 1650, 596, 1616, 267, 543, 1376, 19855, 998, 519, 5318, 5542, 2139, 780, 5629, 596, 1265, 1945, 4277, 267, 11449, 543, 2542, 621, 568, 2241, 1384, 272, 269, 8437, 834, 24246, 3767, 257, 630, 528, 6697, 264, 950, 596, 1294, 513, 13371, 1433, 596, 6999, 547, 1378, 563, 273, 269, 7427, 519, 12987, 547, 2347, 707, 8569, 18172, 1210, 513, 5491, 3556, 610, 9796, 21595, 2272, 563, 274, 269, 4495, 12349, 267, 1930, 519, 1290, 328, 311, 1108, 813, 630, 604, 1210, 513, 5985, 3926, 264, 610, 2845, 538, 3842, 741, 3896, 563, 275, 269, 13782, 622, 547, 707, 834, 299, 3869, 257, 3296, 543, 12398, 519, 9241, 9715, 13371, 1433, 563, 276, 269, 24135, 270, 28781, 593, 519, 3382, 3239, 547, 2253, 2542, 2439, 2026, 5018, 4505, 267, 972, 616, 824, 3681, 16310, 1290, 328, 311, 1108, 585, 1346, 3168, 547, 14679, 3564, 13416, 21101, 269, 589, 2442, 4244, 1851, 30841, 12439, 568, 14295, 3019, 15434, 5414, 1107, 513, 3896, 6131, 547, 3246, 1863, 1569, 547, 5215, 540, 2296, 12261, 30841, 3126, 269, 5381, 547, 1290, 328, 311, 1108, 267, 3755, 666, 3362, 6330, 998, 6688, 267, 6882, 2164, 267, 543, 1224, 741, 29202, 2047, 1369, 741, 11422, 269, 1717, 267, 1832, 538, 2247, 602, 1247, 891, 4609, 2709, 13418, 543, 3099, 267, 789, 1522, 711, 2141, 1683, 3656, 1569, 547, 10677, 539, 1570, 269, 11408, 2327, 596, 2463, 15888, 262, 2924, 1354, 11981, 1022, 1543, 1336, 2228, 780, 1103, 3932, 267, 3059, 14676, 616, 606, 6909, 1259, 547, 23365, 3054, 538, 9159, 2984, 543, 7524, 12383, 269, 15107, 13257, 899, 1290, 328, 311, 1108, 543, 631, 18553, 20837, 8925, 1118, 621, 4443, 982, 2479, 1354, 547, 4685, 883, 713, 4241, 5420, 269, 1635, 1620, 875, 891, 2533, 960, 543, 6616, 1141, 547, 1265, 2298, 1543, 267, 596, 3513, 4166, 1831, 513, 19023, 3059, 13371, 5467, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 786, 1865, 519, 1655, 22600, 770, 3195, 543, 1290, 1460, 1108, 8925, 267, 30841, 6908, 543, 1141, 547, 1224, 631, 18553, 1318, 1631, 267, 3988, 631, 18553, 267, 543, 3988, 30841, 6908, 3284, 330, 269, 1323, 7357, 1863, 6531, 2861, 3059, 14676, 3135, 568, 1572, 1290, 328, 311, 1108, 269, 15692, 267, 25515, 267, 543, 519, 3896, 616, 782, 15095, 609, 621, 269, 1411, 949, 2263, 267, 4444, 267, 543, 1224, 14676, 2228, 1210, 713, 3896, 269, 13689, 593, 519, 5169, 540, 519, 9135, 596, 2972, 267, 621, 666, 4188, 707, 3406, 7375, 269, 1280, 2653, 1569, 267, 4647, 519, 5985, 813, 269, 3958, 267, 596, 666, 1413, 693, 7270, 899, 14295, 3019, 15434, 5414, 1934, 563, 2005, 568, 513, 9735, 3760, 585, 11655, 540, 13371, 2835, 269, 21894, 707, 4640, 267, 596, 949, 1224, 782, 540, 707, 5172, 2296, 25082, 30841, 14676, 593, 938, 3896, 269, 634, 3896, 568, 2808, 547, 581, 835, 540, 519, 1655, 7270, 899, 631, 18553, 1805, 3195, 1317, 540, 922, 2934, 563, 4467, 328, 311, 1108, 568, 267, 1510, 513, 8969, 267, 519, 6205, 538, 3059, 14676, 267, 5356, 6634, 540, 10643, 1169, 3018, 689, 519, 1034, 1713, 21101, 538, 519, 1158, 267, 538, 1840, 547, 519, 1655, 4830, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1849, 13831, 1646, 814, 7153, 607, 513, 2565, 4640, 585, 5009, 2804, 2208, 543, 28211, 538, 4683, 543, 6237, 2127, 269, 901, 1935, 3322, 23454, 4213, 267, 6080, 267, 610, 2533, 1369, 513, 1808, 10923, 1858, 267, 3850, 873, 547, 15407, 3838, 2200, 267, 1702, 267, 543, 5989, 547, 3986, 741, 2773, 543, 7607, 269, 901, 1576, 1770, 7710, 12440, 1646, 607, 513, 1907, 585, 1870, 543, 2804, 2208, 267, 6313, 922, 7811, 13210, 267, 4052, 3156, 267, 2591, 267, 543, 2104, 16548, 269, 1284, 2253, 676, 10747, 13421, 543, 7713, 875, 789, 3565, 547, 2199, 543, 3084, 11615, 269, 8921, 267, 649, 4983, 1114, 2010, 540, 13421, 543, 741, 2189, 4162, 269, 3973, 267, 649, 5490, 883, 519, 1523, 540, 968, 32474, 5121, 892, 543, 2263, 875, 789, 7520, 5698, 267, 5647, 267, 543, 1565, 1851, 12440, 5171, 269, 7053, 267, 649, 1865, 1585, 2994, 585, 3384, 543, 24569, 3811, 13421, 267, 5373, 2390, 1483, 8996, 1806, 543, 12170, 2963, 780, 9377, 1456, 1849, 31255, 543, 4256, 9483, 11957, 454, 288, 12440, 4016, 547, 513, 13664, 5834, 540, 10562, 3549, 543, 5238, 538, 513, 1880, 2361, 610, 2872, 630, 303, 7163, 267, 476, 1960, 279, 1040, 1452, 10909, 2671, 1455, 14273, 267, 5561, 267, 543, 4074, 6990, 267, 607, 1134, 607, 14911, 1983, 543, 4066, 269, 1635, 29466, 2282, 835, 1776, 267, 891, 9988, 666, 3035, 8994, 2640, 998, 1942, 9806, 267, 2799, 4398, 267, 4824, 1569, 547, 7463, 13007, 267, 543, 8476, 2344, 3255, 269, 5047, 267, 13421, 6536, 6735, 543, 5647, 267, 27513, 2590, 1007, 1587, 7835, 543, 1184, 9283, 602, 5352, 2318, 5007, 885, 585, 824, 10909, 543, 2950, 269, 1306, 971 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 811, 596, 2259, 267, 519, 1732, 596, 1205, 269, 1924, 267, 547, 1577, 596, 2259, 543, 513, 576, 519, 6060, 538, 519, 25705, 8791, 540, 782, 519, 30914, 1401, 3133, 725, 267, 7813, 619, 323, 6767, 568, 18445, 596, 609, 1109, 3725, 1783, 532, 5999, 543, 12226, 1109, 517, 1585, 3584, 269, 8347, 547, 3801, 891, 2243, 3054, 547, 6060, 538, 14232, 1109, 29368, 4916, 681, 305, 289, 18161, 1109, 300, 1622, 267, 25153, 4916, 681, 305, 289, 1849, 17064, 267, 25153, 4916, 1849, 17064, 267, 824, 12948, 543, 6142, 11400, 780, 17445, 687, 630, 272, 268, 276, 2567, 5530, 519, 5036, 540, 2338, 2016, 2630, 543, 2626, 519, 2055, 267, 2016, 2630, 1384, 4366, 280, 1109, 476, 1109, 276, 6078, 1109, 476, 1109, 4792, 275, 1109, 476, 1109, 4817, 274, 1109, 476, 1109, 4281, 274, 692, 304, 272, 269, 1403, 538, 1142, 1297, 267, 782, 519, 1614, 9704, 616, 11231, 538, 26799, 1931, 267, 799, 540, 519, 1739, 786, 581, 519, 9803, 1297, 888, 5416, 264, 476, 4366, 280, 454, 6357, 264, 476, 276, 6078, 454, 6262, 264, 476, 4792, 275, 454, 5560, 264, 476, 4817, 274, 454, 16216, 264, 476, 4281, 274, 692, 304, 273, 269, 1403, 2947, 568, 10208, 539, 689, 1142, 540, 519, 2338, 267, 799, 540, 519, 1739, 2338, 786, 581, 519, 3017, 1063, 519, 2034, 7857, 540, 2034, 5207, 1297, 543, 519, 2034, 7857, 540, 519, 5207, 1297, 888, 5416, 264, 20023, 454, 6357, 264, 476, 274, 454, 6262, 264, 476, 272, 454, 5560, 264, 476, 275, 454, 16216, 264, 476, 273, 692, 304, 274, 269, 1403, 538, 1142, 1297, 519, 1101, 543, 519, 2034, 9704, 616, 954, 577, 6548, 267, 799, 786, 581, 519, 3791, 5207, 1297, 888, 5416, 264, 476, 4366, 280, 454, 6357, 264, 476, 276, 6078, 454, 6262, 264, 476, 4792, 275, 454, 5560, 264, 476, 4817, 274, 454, 16216, 264, 476, 4281, 274, 692, 304, 275, 269, 6904, 540, 519, 1739, 2338, 786, 581, 5833, 952, 519, 1101, 7857, 540, 9803, 1297, 568, 10208, 539, 689, 519, 2034, 7857, 540, 5207, 1297, 1310, 4946, 835, 547, 1142, 540, 519, 2338, 888, 5416, 264, 476, 272, 454, 6357, 264, 476, 273, 454, 6262, 264, 476, 274, 454, 5560, 264, 476, 275, 454, 16216, 264, 476, 276, 692, 304, 276, 269, 1403, 538, 1142, 1297, 267, 519, 1101, 543, 519, 2063, 9704, 616, 954, 577, 6548, 267, 799, 540, 519, 1739, 786, 581, 519, 2034, 5207, 1297, 888, 5416, 264, 476, 4366, 280, 454, 6357, 264, 476, 276, 6078, 454, 6262, 264, 476, 4792, 275, 454, 5560, 264, 476, 4817, 274, 454, 16216, 264, 476, 4281, 274, 692, 17445, 687, 630, 277, 268, 1015, 2567, 769, 519, 1739, 2055, 267, 519, 6698, 7711, 267, 9736, 267, 8096, 267, 4939, 267, 543, 616, 1031, 609, 519, 1739, 10096, 607, 11609, 2630, 912, 8072, 303, 9736, 1627, 685, 1797, 2048, 303, 568, 711, 3152, 982, 1627, 17483, 8072, 303, 4939, 1627, 685, 1797, 2048, 303, 568, 711, 4130, 982, 1627, 17483, 8072, 303, 1627, 685, 1797, 2048, 303, 568, 9444, 4130, 982, 6862, 3160, 547, 1627, 19028, 8072, 303, 7711, 1627, 685, 1797, 2048, 303, 568, 9444, 3152, 982, 6862, 3160, 547, 1627, 17483, 8072, 303, 8096, 1627, 685, 1797, 2048, 303, 568, 9444, 3152, 982, 6862, 4130, 982, 1627, 19028, 3086, 538, 1142, 540, 519, 1739, 2055, 267, 14322, 519, 2016, 3948, 547, 581, 3020, 267, 1265, 799, 540, 519, 1079, 8753, 594, 543, 4083, 2016, 2630, 873, 568, 270, 732, 9090, 3020, 563, 5416, 264, 1403, 1152, 10390, 594, 568, 3020, 563, 6357, 264, 1403, 1152, 3932, 4083, 568, 3020, 454, 6262, 264, 1403, 2901, 3932, 594, 610, 4083, 568, 3020, 454, 5560, 264, 952, 9444, 10390, 594, 6862, 4083, 568, 3020, 563, 16216, 264, 952, 1312, 1230, 7501, 594, 543, 4083, 616, 3020, 780, 304, 277, 269, 32276, 2433, 918, 7711, 966, 267, 966, 9736, 715, 267, 715, 4939, 674, 454, 3519, 7501, 10778, 296, 269, 674, 7711, 966, 454, 2862, 269, 918, 7711, 715, 692, 304, 278, 269, 32276, 2433, 670, 9736, 654, 267, 654, 8096, 631, 267, 631, 7711, 645, 454, 3519, 7501, 10778, 296, 269, 645, 265, 1109, 670, 454, 2862, 269, 631, 4939, 670, 692, 304, 279, 269, 32276, 2433, 667, 4939, 645, 267, 645, 570, 267, 570, 8096, 631, 454, 3519, 7501, 23241, 280, 269, 32276, 2433, 631, 570, 267, 570, 7711, 918, 267, 918, 9736, 715, 454, 6962, 10778, 296, 269, 715, 570, 454, 2862, 269, 715, 631, 692, 1015, 269, 32276, 2433, 681, 8096, 808, 267, 808, 4939, 667, 267, 667, 674, 454, 3519, 7501, 10778, 296, 269, 667, 8096, 681, 454, 2862, 269, 667, 7711, 681, 692, 17445, 687, 630, 1556, 268, 1428, 2567, 3367, 519, 1739, 1344, 543, 2626, 519, 2243, 602, 1246, 912, 306, 1460, 15872, 5025, 267, 645, 267, 595, 267, 667, 267, 661, 543, 674, 268, 732, 547, 581, 9447, 689, 11728, 547, 10732, 835, 11000, 1169, 1554, 563, 9217, 264, 17976, 595, 3112, 581, 9447, 593, 11016, 563, 23870, 264, 17976, 589, 568, 5548, 9121, 5612, 1310, 11000, 667, 563, 31702, 264, 1703, 1058, 581, 513, 7934, 540, 1079, 2395, 1063, 519, 15872, 645, 543, 674, 563, 263, 643, 264, 1703, 568, 835, 9702, 4849, 14349, 269, 17976, 674, 568, 9447, 593, 519, 1985, 1554, 540, 9702, 563, 17635, 264, 17976, 661, 568, 9447, 593, 13723, 4586, 263, 12858, 264, 17976, 661, 568, 711, 9447, 593, 5612, 1310, 519, 17976, 674, 780, 304, 1556, 269, 2201, 799, 1554, 729, 11000, 667, 5548, 9121, 888, 5416, 264, 11016, 454, 6357, 264, 14349, 454, 6262, 264, 10732, 454, 5560, 264, 13628, 454, 16216, 264, 7183, 540, 891, 692, 304, 1321, 269, 2201, 799, 1554, 729, 9702, 888, 5416, 264, 10732, 454, 6357, 264, 11016, 454, 6262, 264, 11728, 454, 5560, 264, 13628, 454, 16216, 264, 7183, 540, 891, 692, 304, 1724, 269, 1215, 1082, 15872, 941, 9447, 1063, 674, 543, 667, 888, 5416, 264, 7183, 454, 6357, 264, 835, 454, 6262, 264, 1079, 454, 5560, 264, 8422, 454, 16216, 264, 7183, 540, 891, 692, 304, 1691, 269, 6904, 540, 519, 1739, 729, 519, 2063, 11000, 888, 5416, 264, 589, 454, 6357, 264, 595, 454, 6262, 264, 645, 454, 5560, 264, 2052, 1406, 581, 5462, 454, 16216, 264, 7183, 540, 891, 692, 304, 1428, 269, 1215, 1082, 15872, 16516, 1354, 519, 1554, 593, 799, 595, 9447, 888, 5416, 264, 3143, 835, 563, 6357, 264, 2290, 454, 6262, 264, 5565, 454, 5560, 264, 8422, 454, 16216, 264, 2859, 982, 1614, 692, 301, 697, 4147, 25705, 5999, 585, 681, 10292, 19608, 1299, 25153, 4916, 1849, 17064, 2776, 11929, 476, 1001, 278, 263, 11405, 2020, 10135, 19272, 25153, 4916, 18161, 476, 1001, 278, 692, 8099, 876, 266, 630, 305, 305, 289, 267, 1849, 17064, 267, 18161, 264, 15443, 573, 919, 941, 5697, 538, 25153, 4916, 18161, 476, 1001, 277, 689, 19396, 5295, 15858, 15789, 780, 280, 856, 540, 1169, 476, 1015, 10457, 5697, 538, 25153, 4916, 18161, 2063, 1032, 1904, 539, 585, 5410, 320, 26316, 6732, 4530, 10022, 269, 0, 258, 7223, 692, 14006, 539, 676, 593, 16317, 274, 24474, 284, 276, 270, 1015, 268, 273, 692, 1892, 7223, 910, 2073, 692, 274, 24474, 815, 476, 276, 270, 1015, 910, 476, 273, 2676, 274, 24474, 815, 476, 272, 270, 273, 910, 476, 275, 270, 273, 2676, 274, 24474, 815, 910, 476, 274, 270, 273, 2676, 1103, 3200, 1312, 2427, 2676, 343, 270, 274, 815, 910, 476, 273, 270, 274, 2676, 11372, 17586, 1312, 5011, 676, 476, 274, 912, 343, 815, 910, 476, 277, 270, 274, 2676, 343, 815, 910, 273, 269, 0, 258, 11473, 281, 20389, 6657, 4530, 476, 272, 3040, 8791, 476, 275, 3040, 7726, 476, 3066, 692, 13706, 519, 1599, 31977, 373, 263, 31915, 264, 815, 630, 31915, 1341, 476, 274, 19422, 31915, 6567, 476, 272, 1040, 634, 1599, 15855, 355, 815, 31977, 373, 263, 31915, 264, 568, 1178, 335, 1117, 593, 519, 15855, 354, 268, 8740, 355, 7077, 3254, 269, 1403, 519, 3830, 15855, 355, 815, 15855, 354, 1341, 476, 274, 568, 6537, 593, 519, 1482, 1305, 540, 17887, 267, 799, 540, 519, 1739, 1131, 581, 513, 1448, 540, 10167, 540, 519, 1079, 11708, 286, 1496, 288, 316, 630, 273, 267, 476, 276, 264, 1496, 289, 316, 630, 272, 267, 476, 271, 264, 1496, 290, 316, 630, 273, 267, 476, 271, 264, 1496, 291, 316, 630, 271, 267, 476, 273, 2020, 4962, 281, 2764, 692, 2162, 11473, 3690, 5296, 692, 13706, 519, 1599, 31977, 373, 540, 15855, 354, 11224, 15855, 354, 7132, 1614, 936, 15855, 354, 14263, 835, 269, 634, 1599, 15855, 355, 11224, 31977, 373, 540, 15855, 354, 568, 1178, 335, 1117, 593, 519, 15855, 354, 8740, 355, 13807, 2033, 3254, 269, 1403, 519, 3830, 15855, 355, 11224, 15855, 354, 7132, 1614, 568, 6537, 593, 519, 1482, 1305, 540, 17887, 267, 799, 540, 519, 1739, 1131, 581, 513, 1448, 540, 10167, 540, 519, 1079, 11708, 286, 634, 5079, 616, 589, 264, 1079, 267, 2947, 282, 645, 264, 835, 267, 4642, 282, 595, 264, 1079, 267, 4642, 282, 610, 667, 264, 4642, 267, 1079, 780, 3383, 547, 960, 713, 856, 267, 1018, 649, 2461, 2469, 547, 798, 568, 4729, 519, 3830, 15855, 355, 11224, 15855, 354, 7132, 1614, 593, 519, 1482, 17887, 269, 1924, 538, 1931, 547, 948, 721, 798, 602, 267, 1018, 594, 4076, 2944, 568, 6537, 513, 3349, 269, 1924, 594, 4076, 3893, 1250, 15855, 354, 268, 11161, 543, 1250, 15855, 355, 268, 11161, 269, 1656, 1631, 594, 6557, 27613, 3442, 1614, 15855, 354, 268, 11161, 269, 1656, 519, 15855, 354, 268, 11161, 594, 4076, 6074, 616, 2942, 476, 1428, 267, 4642, 267, 543, 476, 1428, 269, 1656, 594, 4076, 6074, 891, 1317, 789, 2461, 2653, 547, 1118, 856, 593, 938, 4336, 602, 649, 723, 269, 1411, 1223, 3442, 1022, 1614, 2798, 596, 4941, 547, 593, 519, 1899, 547, 948, 596, 2721, 519, 2786, 1899, 269, 769, 1249, 267, 596, 1152, 991, 1079, 2798, 269, 594, 4076, 1175, 6074, 1614, 1175, 547, 1118, 2386, 780, 3383, 1631, 1018, 594, 991, 547, 798, 568, 960, 856, 1018, 519, 7222, 15855, 355, 268, 11161, 616, 269, 1656, 782, 594, 991, 547, 798, 547, 1265, 873, 856, 568, 547, 1039, 1614, 269, 1656, 602, 779, 1317, 938, 3830, 568, 15855, 355, 11224, 15855, 354, 7132, 1614, 269, 1656, 950, 594, 798, 602, 267, 519, 2418, 594, 1205, 616, 2942, 476, 1321, 267, 1614, 267, 543, 476, 1240, 269, 1656, 19551, 602, 594, 1205, 2942, 476, 1321, 585, 519, 1101, 1871, 269, 1656, 602, 779, 1317, 952, 649, 4076, 3893, 2942, 476, 1428, 543, 649, 1039, 1614, 267, 621, 1797, 602, 649, 8910, 581, 3001, 1318, 909, 519, 1297, 1899, 269, 1924, 649, 1205, 1447, 2942, 269, 1924, 602, 779, 1946, 649, 1205, 547, 2942, 476, 1321, 780, 3383, 1631, 1018, 594, 798, 568, 594, 4729, 1250, 2798, 269, 1924, 594, 4076, 3893, 1250, 1101, 1448, 281, 2942, 476, 1428, 267, 2942, 476, 1321, 269, 1924, 519, 1985, 1448, 568, 4642, 267, 1614, 602, 594, 4076, 849, 28367, 593, 519, 3113, 269, 1656, 602, 779, 4642, 593, 519, 15855, 354, 14289, 543, 1614, 593, 519, 15855, 355, 14289, 269, 1656, 1287, 267, 6368, 267, 594, 723, 476, 1428, 267, 476, 1240, 269, 1924, 594, 4076, 28367, 602, 269, 1924, 1287, 782, 594, 991, 547, 798, 568, 2721, 519, 2786, 1899, 543, 6003, 1250, 1899, 267, 799, 568, 15855, 355, 11224, 15855, 354, 7132, 1614, 780, 4517, 952, 649, 1491, 513, 1413, 693, 938, 11708, 267, 649, 666, 1294, 602, 972, 616, 1079, 2798, 540, 10167, 269, 1924, 602, 1797, 602, 972, 616, 1079, 2798, 1141, 519, 3113, 540, 519, 1599, 31977, 373, 540, 15855, 354, 11224, 15855, 354, 7132, 1614, 936, 15855, 354, 14263, 835, 10742, 519, 3113, 540, 519, 3830, 15855, 355, 11224, 15855, 354, 7132, 1614, 269, 1924, 1631, 952, 649, 1491, 513, 1413, 693, 1018, 519, 10974, 540, 938, 2798, 616, 267, 649, 666, 1294, 602, 519, 1318, 11804, 1448, 540, 10167, 568, 27613, 723, 1079, 2059, 519, 15855, 354, 14289, 543, 2947, 538, 519, 15855, 355, 14289, 269, 1924, 4061, 267, 519, 10974, 616, 2469, 547, 581, 1079, 267, 2947, 269, 1656, 1287, 519, 824, 1448, 593, 519, 2451, 11804, 2427, 568, 2469, 547, 581, 2942, 1614, 538, 519, 15855, 354, 14289, 543, 4642, 538, 519, 15855, 355, 14289, 269, 1924, 621, 779, 2942 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6902, 815, 476, 274, 536, 281, 1341, 476, 273, 815, 476, 272, 282, 815, 513, 281, 476, 4029, 536, 281, 513, 281, 476, 1724, 536, 281, 476, 275, 524, 281, 476, 3607, 546, 281, 476, 275, 552, 281, 476, 1626, 535, 281, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1556, 7689, 513, 281, 815, 476, 276, 536, 281, 815, 476, 1015, 524, 281, 815, 476, 1428, 546, 281, 815, 476, 273, 552, 281, 815, 476, 1015, 535, 281, 815, 476, 274, 610, 513, 281, 524, 815, 476, 273, 536, 281, 3143, 3070, 630, 1341, 476, 274, 264, 815, 476, 277, 630, 476, 272, 266, 272, 1040, 815, 1053, 513, 281, 476, 2918, 536, 281, 476, 275, 524, 281, 476, 273, 546, 281, 513, 281, 11638, 680, 536, 476, 274, 269, 536, 281, 815, 513, 281, 815, 476, 275, 536, 281, 533, 815, 513, 281, 476, 273, 1341, 272, 630, 476, 273, 264, 815, 476, 273, 630, 476, 273, 1070, 815, 476, 272, 536, 281, 476, 271, 815, 8096, 3756, 269, 8096, 513, 281, 2073, 2073, 536, 281, 524, 281, 815, 7689, 12226, 786, 15254, 513, 281, 815, 476, 273, 536, 281, 815, 513, 281, 476, 4391, 536, 281, 476, 276, 269, 276, 524, 281, 476, 274, 546, 281, 513, 281, 476, 10170, 269, 275, 610, 476, 7761, 14274, 536, 281, 476, 10037, 1004, 590, 1013, 879, 345, 619, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1556, 692, 1321, 7689, 815, 513, 281, 536, 281, 513, 281, 2451, 815, 476, 275, 267, 1318, 815, 476, 278, 630, 3847, 568, 3152, 264, 536, 281, 2451, 815, 476, 276, 267, 1318, 815, 476, 272, 630, 2431, 568, 3152, 264, 513, 281, 476, 279, 476, 1428, 610, 476, 271, 269, 7871, 536, 281, 513, 281, 815, 476, 273, 536, 281, 815, 476, 274, 269, 276, 524, 281, 546, 281, 610, 7689, 12726, 3349, 543, 3113, 281, 7612, 476, 271, 786, 723, 476, 272, 4009, 267, 7612, 476, 275, 786, 723, 513, 476, 276, 1532, 268, 276, 4009, 609, 476, 279, 17981, 7923, 538, 513, 4737, 593, 519, 1318, 267, 543, 7612, 476, 1911, 786, 723, 513, 476, 6200, 1532, 268, 6200, 4009, 609, 476, 1220, 17981, 7923, 538, 513, 4737, 593, 519, 1318, 2073, 476, 273, 263, 278, 264, 1341, 476, 275, 263, 274, 264, 1341, 476, 273, 815, 476, 2764, 4559, 513, 281, 536, 281, 524, 281, 546, 281, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1724, 7689, 513, 281, 536, 281, 630, 476, 274, 267, 476, 273, 264, 524, 281, 589, 29236, 546, 281, 630, 476, 274, 267, 476, 273, 264, 1058, 581, 630, 476, 274, 267, 476, 276, 264, 513, 281, 536, 281, 524, 281, 634, 29236, 538, 851, 630, 320, 264, 2798, 16057, 267, 1247, 519, 29236, 538, 851, 630, 321, 264, 2798, 18746, 269, 546, 281, 13008, 476, 273, 269, 277, 552, 281, 13008, 513, 281, 8096, 1789, 536, 281, 2701, 1274, 985, 8096, 277, 829, 5662, 267, 865, 1310, 3108, 267, 1352, 1274, 985, 476, 277, 9489, 269, 524, 281, 6423, 3113, 693, 1318, 269, 898, 1058, 581, 6024, 14322, 602, 1352, 568, 6976, 585, 9864, 3108, 19382, 9210, 1833, 281, 476, 273, 1341, 476, 275, 267, 6902, 9406, 9210, 1833, 281, 476, 274, 266, 272, 267, 476, 271, 282, 661, 680, 10698, 281, 4469, 760, 519, 17981, 689, 3148, 547, 1341, 3148, 267, 6875, 476, 275, 19179, 689, 1312, 5011, 513, 281, 536, 281, 524, 281, 546, 281, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1724, 692, 1691, 7689, 513, 281, 815, 476, 273, 536, 281, 815, 476, 272, 524, 281, 630, 476, 274, 264, 4564, 519, 6587, 540, 476, 274, 267, 799, 568, 513, 281, 8786, 536, 281, 3143, 524, 281, 3143, 546, 281, 8786, 5442, 20465, 744, 7473, 20465, 513, 281, 6423, 3113, 693, 1318, 269, 536, 281, 898, 568, 513, 1793, 5896, 1899, 602, 11081, 607, 4679, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 8096, 6924, 269, 4037, 536, 281, 476, 736, 6550, 910, 5793, 1061, 281, 630, 271, 267, 476, 272, 264, 910, 5793, 1061, 281, 630, 271, 269, 276, 267, 476, 271, 264, 630, 273, 267, 476, 274, 264, 7689, 513, 281, 815, 7612, 476, 271, 7612, 476, 275, 536, 281, 630, 276, 267, 476, 1321, 264, 513, 281, 536, 281, 815, 476, 273, 476, 272, 5442, 20465, 744, 7473, 20465, 9351, 476, 12293, 269, 278, 267, 18592, 513, 281, 1323, 1297, 536, 281, 544, 815, 476, 280, 524, 281, 815, 476, 275, 546, 281, 533, 815, 513, 281, 1948, 540, 7734, 476, 1321, 267, 476, 10463, 536, 281, 3687, 2373, 476, 271, 267, 476, 1691, 524, 281, 30683, 476, 22213, 267, 476, 12573, 30605, 476, 1428, 267, 476, 272, 2349, 4169, 476, 273, 269, 276, 267, 476, 2004, 267, 476, 4037, 11829, 976, 476, 272, 267, 476, 276, 267, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1428, 7689, 513, 281, 3143, 3070, 536, 281, 815, 476, 274, 269, 276, 524, 281, 1323, 1297, 546, 281, 815, 513, 281, 476, 5655, 536, 281, 476, 274, 524, 281, 476, 1321, 546, 281, 2913, 2099, 519, 8700, 540, 519, 13551, 267, 476, 273, 1341, 476, 273, 263, 273, 1341, 476, 274, 264, 815, 476, 4281, 267, 476, 2767, 4699, 543, 476, 1321, 4699, 5442, 20465, 744, 7473, 20465, 513, 281, 6423, 3113, 693, 1318, 269, 536, 281, 589, 29236, 6679, 16057, 513, 281, 476, 736, 476, 278, 815, 536, 281, 524, 281, 546, 281, 815, 476, 4366, 476, 276, 815, 7689, 513, 281, 536, 281, 524, 281, 546, 281, 634, 616, 23842, 693, 519, 1482, 2557, 267, 476, 271, 269, 279, 8964, 26553, 513, 281, 815, 476, 273, 536, 281, 815, 476, 272, 524, 281, 2353, 2338, 546, 281, 815, 5442, 476, 275, 282, 744, 7473, 476, 279, 267, 476, 274, 267, 476, 272, 267, 476, 2190, 513, 281, 12226, 786, 15254, 269, 12726, 3210, 281, 634, 1587, 540, 543, 568, 620, 13195, 476, 2190, 269, 536, 281, 815, 476, 2190, 610, 815, 476, 2190, 524, 281, 6423, 3113, 693, 1318, 513, 281, 8422, 1447, 982, 2947, 2053, 536, 281, 3828, 823, 519, 2040, 540, 543, 524, 281, 8422, 8519, 536, 519, 2040, 540, 543, 476, 276, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1428, 692, 1626, 7689, 513, 281, 815, 476, 273, 536, 281, 815, 513, 281, 536, 281, 524, 281, 546, 281, 11667, 815, 476, 8618, 267, 5580, 14415, 850, 815, 476, 9032, 267, 2539, 14415, 850, 815, 589, 13483, 544, 267, 623, 544, 513, 281, 8096, 271, 269, 10019, 11013, 536, 281, 476, 271, 269, 277, 575, 4699, 524, 281, 8096, 274, 269, 2004, 546, 281, 8096, 1556, 269, 6434, 552, 281, 476, 15433, 15833, 535, 281, 18324, 9398, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 1704, 7689, 630, 291, 320, 476, 272, 264, 476, 275, 268, 273, 269, 513, 281, 536, 281, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 524, 281, 546, 281, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 552, 281, 7612, 476, 271, 7612, 476, 275, 7612, 476, 276, 7612, 476, 271, 7612, 476, 275, 7612, 513, 281, 536, 281, 524, 281, 634, 1448, 1131, 9114, 693, 630, 276, 267, 476, 866, 1070, 1317, 519, 4341, 568, 815, 610, 1317, 621, 568, 2009, 547, 3589, 593, 519, 3113, 513, 281, 476, 3393, 536, 281, 476, 277, 524, 281, 476, 7830, 546, 281, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 476, 277, 476, 2641, 536, 281, 524, 281, 476, 276, 263, 1341, 476, 273, 264, 546, 281, 476, 275, 263, 273, 1341, 476, 274, 264, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 1704, 692, 1240, 7689, 630, 291, 320, 476, 273, 264, 476, 275, 268, 278, 269, 513, 281, 634, 29236, 1058, 1780, 998, 519, 2798, 630, 271, 267, 476, 271, 264, 543, 630, 273, 267, 476, 271, 264, 543, 723, 513, 9451, 693, 630, 272, 267, 476, 272, 264, 2701, 1058, 723, 4607, 1079, 5026, 6517, 543, 4557, 4773, 540, 11647, 630, 476, 273, 264, 815, 476, 274, 630, 1341, 476, 273, 264, 513, 281, 815, 513, 281, 536, 281, 524, 281, 476, 271, 546, 281, 815, 476, 273, 1341, 272, 7689, 513, 281, 476, 274, 536, 281, 1913, 5442, 476, 276, 282, 744, 7473, 476, 866, 267, 476, 272, 267, 476, 1428, 267, 476, 1220, 276, 267, 476, 273, 266, 276, 513, 281, 11638, 680, 536, 476, 273, 543, 1039, 476, 276, 269, 536, 281, 815, 3962, 11078, 4607, 476, 272, 16968, 267, 476, 7761, 2835, 267, 543, 476, 279, 7131, 338, 513, 281, 476, 1839, 11027, 476, 4281, 269, 276, 13483, 269, 10264, 269, 536, 281, 8096, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 866, 7689, 513, 281, 536, 281, 7612, 476, 271, 7612, 476, 275, 524, 281, 815, 4699, 7612, 1948, 1948, 540, 570, 3796, 513, 281, 815, 476, 273, 536, 281, 815, 5442, 20465, 744, 7473, 20465, 815, 476, 1839, 630, 22780, 2557, 1070, 815, 476, 6344, 17529, 7689, 513, 281, 12226, 786, 15254, 269, 536, 281, 3962, 4137, 814, 476, 275, 811, 17981, 982, 519, 4137, 1354, 621, 269, 524, 281, 815, 7612, 476, 271, 814, 476, 278, 17981, 269, 7612, 476, 272, 814, 476, 280, 17981, 269, 634, 4806, 540, 2208, 568, 4946, 476, 273, 269, 634, 4341, 568, 815, 513, 281, 2353, 2338, 269, 536, 281, 815, 1403, 568, 544, 1297, 267, 1287, 476, 276, 476, 273, 815, 476, 272, 282, 815, 5442, 281, 476, 276, 267, 476, 276, 267, 476, 275, 267, 476, 272, 269, 276, 267, 476, 2004, 282, 744, 7473, 281, 476, 1556, 513, 281, 11638, 680, 536, 476, 274, 543, 10208, 476, 273, 269, 536, 281, 12226, 786, 15254, 269, 29120, 12226, 476, 1001, 274, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 476, 866, 692, 736, 7689, 25792, 3070, 3349, 281, 513, 281, 6423, 3113, 693, 1318, 269, 536, 281, 8786, 269, 476, 13923, 815, 476, 274, 263, 476, 2004, 264, 12226, 786, 15254, 589, 815, 476, 7761, 269, 1839, 11027, 6515, 476, 273, 267, 595, 815, 476, 1704, 11027, 476, 7871, 269, 275, 6515, 630, 271, 267, 476, 273, 264, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 476, 276, 476, 272, 536, 281, 476, 1556, 476, 272, 524, 281, 476, 276, 476, 272, 546, 281, 12226, 786, 15254, 513, 281, 634, 1899, 1058, 1780, 998, 630, 274, 267, 476, 271, 264, 543, 630, 271, 267, 476, 274, 1040, 536, 281, 8786, 269, 476, 3066, 815, 513, 281, 1323, 1297, 269, 536, 281, 815, 476, 271, 524, 281, 678, 815, 476, 277, 546, 281, 3143, 3070, 513, 281, 815, 476, 277, 536, 281, 815, 476, 1626, 524, 281, 815, 476, 272, 269, 276, 546, 281, 815, 513, 281, 901, 1058, 581, 513, 8880, 1899, 609, 513, 2318, 910, 7407, 602, 7475, 693, 815, 476, 1015, 269, 536, 281, 901, 1058, 1376, 609, 2318, 910, 7407, 543, 723, 513, 9386, 540, 476, 271, 267, 1287, 621, 1058, 2490, 547, 2942, 9386, 267, 543, 1287, 621, 1058, 2132, 547, 513, 9386, 540, 476, 271, 693, 519, 910, 9820, 269, 524, 281, 901, 1058, 1376, 5997, 2632, 718, 2059, 519, 1899, 815, 476, 271, 267, 1287, 621, 1058, 4473, 2656, 331, 547, 513, 2362, 8880, 1899, 267, 543, 1287, 621, 1058, 13956, 547, 513, 2539, 2318, 8880, 1899, 267, 10678, 693, 815, 8713, 300, 12409, 5358, 269, 2353, 2924, 11603, 269, 11759, 22627, 267, 6092, 476, 274, 692, 2641, 7689, 513, 281, 536, 281, 524, 281, 546, 281, 513, 281, 589, 543, 595, 723, 476, 271, 17981, 267, 543, 645, 814, 476, 1789, 17981, 269, 536, 281, 595, 9428, 1034, 2656, 331, 693, 476, 1015, 17981, 829, 4137, 269, 4706, 1899, 568, 519, 14869, 652, 269, 524, 281, 7612, 476, 273, 269, 634, 3515, 12969, 693, 630, 273, 267, 476, 736, 1040, 546, 281, 815, 634, 1101 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 634, 1977, 21537, 2135, 2414, 667, 1143, 1170, 634, 22547, 2986, 23068, 1656, 25734, 769, 1977, 3778, 1306, 589, 631, 699, 1744, 600, 1772, 3502, 8307, 1677, 22695, 648, 10434, 12700, 267, 898, 1772, 4746, 1677, 5345, 1228, 634, 9046, 3465, 5034, 1635, 8409, 12700, 269, 634, 22547, 2986, 23068, 1656, 25734, 769, 901, 13474, 12984, 6452, 558, 3966, 1221, 1635, 634, 22547, 2986, 26913, 269, 2334, 5565, 901, 7433, 12984, 5548, 9121, 1306, 634, 30814, 17372, 2986, 634, 9257, 2986, 1977, 16024, 2103, 2311, 6115, 267, 667, 5861, 1421, 4989, 476, 277, 3267, 476, 1428, 628, 267, 476, 1708, 271, 288, 3266, 1656, 966, 756, 549, 659, 24065, 923, 2986, 14825, 12067, 5695, 2692, 12737, 619, 476, 1001, 274, 3267, 306, 1723, 582, 518, 6796, 29766, 22544, 15015, 2382, 656, 10481, 2762, 2098, 574, 5913, 7726, 7433, 476, 1001, 274, 24730, 674, 3244, 332, 976, 27018, 12307, 2060, 10241, 1656, 8466, 11872, 8827, 15015, 288, 28985, 30258, 4208, 594, 674, 4454, 1280, 634, 7126, 2986, 634, 2598, 12574, 309, 342, 700, 339, 3374, 570, 10972, 15015, 570, 325, 330, 1408, 1546, 14157, 802, 342, 10402, 8111, 2142, 564, 548, 2142, 564, 548, 288, 1356, 661, 326, 6246, 332, 15015, 290, 622, 3273, 26952, 20710, 3101, 9978, 3163, 2060, 11916, 5804, 26913, 1677, 15213, 3778, 3267, 476, 2918, 628, 267, 476, 1708, 271, 563, 763, 570, 625, 2334, 645, 785, 267, 3245, 26913, 1677, 15213, 763, 570, 625, 2334, 645, 785, 267, 3245, 26913, 1677, 15213, 634, 25306, 9539, 15625, 7731, 8422, 9198, 725, 2986, 1323, 3979, 1977, 7731, 12389, 769, 634, 1744, 27595, 2986, 853, 269, 6754, 779, 5783, 1323, 16504, 3427, 4317, 5525, 15099, 1547, 31351, 4841, 267, 8080, 1677, 634, 9452, 2986, 634, 25306, 20307, 7731, 267, 1323, 3979, 1977, 7731, 2334, 700, 1882, 9406, 8921, 1677, 853, 269, 6754, 779, 5783, 769, 634, 476, 866, 628, 1656, 476, 736, 628, 2578, 3753, 769, 634, 16011, 2986, 3267, 476, 866, 628, 267, 476, 1708, 271, 306, 18561, 1656, 15213, 281, 634, 1977, 21537, 2135, 31611, 590, 269, 21546, 3267, 3674, 634, 6239, 21537, 2135, 2986, 1977, 3778, 269, 634, 7420, 267, 1280, 589, 20616, 16024, 1014, 2311, 2274, 770, 267, 1772, 1677, 11512, 1215, 589, 4658, 16393, 5620, 31603, 634, 667, 539, 1709, 1677, 5274, 23068, 1656, 667, 793, 640, 1401, 3031, 1243, 1635, 634, 24285, 2986, 634, 1977, 7169, 1656, 2311, 634, 23893, 5384, 5620, 1546, 767, 268, 744, 6244, 1656, 19321, 539, 589, 3590, 2986, 8534, 2334, 9324, 1221, 5274, 23068, 1656, 6226, 268, 715, 640, 5272, 28914, 2986, 634, 4303, 269, 634, 21537, 2135, 1772, 5345, 1211, 3267, 476, 1626, 628, 267, 476, 1708, 271, 12218, 3336, 12754, 13268, 564, 3979, 4892, 1656, 634, 6519, 3267, 12218, 3336, 12754, 13268, 564, 3979, 4892, 1656, 634, 6519, 5600, 476, 5002, 271, 1107, 7073, 4303, 476, 272, 21850, 29767, 634, 6519, 5600, 13201, 7612, 323, 8871, 514, 1836, 769, 3509, 12267, 2986, 634, 3979, 1977, 15213, 26647, 24327, 269, 4858, 557, 9093, 1656, 6468, 645, 3430, 1194, 1677, 7736, 26913, 769, 634, 715, 12078, 11416, 1656, 8033, 4240, 634, 674, 697, 1635, 11554, 1677, 24344, 634, 966, 1774, 1656, 7420, 26521, 269, 4256, 11202, 338, 10705, 27439, 1677, 634, 15445, 631, 6416, 3267, 476, 1556, 628, 267, 476, 1708, 271, 563, 763, 11918, 652, 1144, 674, 5362, 1723, 910, 6341, 20279, 3557, 2160, 10454, 11918, 652, 1144, 674, 5362, 1723, 257, 3245, 31611, 590, 269, 21546, 267, 1977, 26913, 267, 1977, 15213, 630, 6124, 3840, 281, 654, 15030, 269, 17368, 517, 1656, 7577, 267, 476, 3192, 276, 1040, 634, 3689, 23027, 2986, 2296, 5443, 1234, 3737, 9098, 2311, 15729, 8361, 267, 634, 8828, 10361, 1633, 2311, 634, 14956, 2287, 2986, 27991, 1901, 820, 7345, 267, 2201, 4989, 476, 2918, 267, 476, 8182, 278, 269, 634, 23893, 4303, 4256, 24410, 7632, 23548, 534, 269, 634, 12075, 2986, 634, 15729, 8361, 16323, 1547, 1547, 1547, 1879, 1358, 5853, 589, 9549, 2986, 26062, 2107, 774, 8812, 5899, 13377, 3267, 476, 1626, 628, 267, 476, 1708, 271, 8512, 594, 281, 1284, 4060, 476, 272, 268, 10170, 269, 634, 11918, 652, 1144, 674, 5362, 1723, 269, 31611, 590, 269, 21546, 267, 1977, 26913, 3013, 15213, 630, 6124, 3840, 281, 654, 269, 654, 269, 17368, 517, 267, 476, 3192, 276, 1070, 30667, 476, 274, 267, 476, 275, 267, 1299, 476, 276, 269, 1496, 306, 298, 316, 476, 273, 269, 8827, 476, 272, 1677, 634, 8534, 10374, 720, 1765, 28158, 8056, 580, 7949, 4419, 1218, 1656, 1230, 341, 1112, 338, 269, 10787, 2917, 30421, 6277, 267, 968, 763, 6465, 21881, 19938, 2986, 20616, 4419, 3363, 281, 1323, 769, 14814, 4211, 2632, 847, 13979, 2223, 476, 274, 628, 267, 476, 1708, 271, 309, 7644, 294, 2562, 8656, 590, 4953, 307, 4041, 16774, 267, 476, 8182, 278, 268, 14341, 275, 2108, 297, 600, 652, 1144, 674, 5362, 1723, 892, 3245, 1977, 26913, 267, 1977, 15213, 4700, 476, 275, 269, 968, 314, 289, 316, 4370, 4787, 2683, 1358, 1401, 4624, 1677, 2142, 623, 4660, 1656, 12658, 1280, 23560, 634, 9877, 2986, 4518, 1280, 6904, 1358, 16874, 2142, 523, 670, 1600, 269, 2368, 21518, 30052, 2422, 995, 269, 1809, 11524, 2904, 5620, 5853, 23067, 2383, 9453, 31283, 1677, 2422, 4256, 7981, 13669, 757, 269, 1403, 1358, 21518, 3117, 2615, 1190, 267, 634, 4035, 601, 518, 2904, 5620, 1975, 550, 5384, 18391, 1280, 4035, 1564, 267, 634, 717, 9529, 19431, 338, 1280, 7108, 267, 634, 3267, 476, 279, 628, 267, 476, 1708, 271, 563, 309, 7644, 294, 2562, 8656, 590, 4953, 307, 4041, 16774, 910, 9741, 329, 2129, 10811, 680, 648, 3464, 2593, 300, 6716, 267, 968, 297, 600, 652, 1144, 674, 5362, 1723, 892, 3245, 1977, 26913, 267, 1977, 15213, 4700, 595, 269, 4746, 9046, 1738, 12984, 634, 7089, 2986, 4787, 2683, 20709, 24613, 1677, 9098, 269, 968, 16449, 634, 4787, 2683, 9093, 5808, 29035, 634, 5590, 25557, 769, 476, 8182, 278, 21518, 9050, 2961, 25871, 619, 267, 5565, 645, 4459, 331, 16558, 267, 2290, 28224, 630, 1952, 30068, 589, 14451, 31853, 20537, 645, 4459, 331, 11691, 1070, 589, 2349, 2931, 19431, 267, 589, 29114, 528, 267, 1656, 589, 4446, 828, 269, 634, 3267, 476, 276, 628, 267, 476, 1708, 271, 306, 624, 476, 277, 3848, 476, 4510, 910, 21942, 4065, 290, 6817, 968, 1492, 11918, 652, 1144, 674, 5362, 1723, 1848, 8072, 19425, 2801, 1108, 1772, 717, 643, 268, 532, 2974, 589, 13518, 2859, 22493, 16514, 2986, 1548, 898, 12984, 6145, 1677, 14970, 1703, 2223, 590, 904, 21546, 267, 3369, 846, 476, 3192, 276, 3778, 267, 1977, 26913, 267, 1977, 15213, 281, 634, 2107, 1372, 531, 2986, 20616, 9098, 267, 14803, 4240, 2334, 6276, 2389, 1144, 779, 3689, 13012, 21518, 2598, 28470, 269, 968, 3719, 6787, 898, 570, 5281, 634, 9098, 7577, 20553, 589, 11773, 9452, 1772, 6271, 7726, 1848, 634, 14066, 7089, 2986, 3267, 476, 2764, 628, 267, 476, 1708, 271, 6637, 476, 280, 634, 32700, 1656, 634, 9139, 267, 309, 597, 6265, 807, 6465, 1393, 1280, 16241, 15213, 630, 5408, 7305, 476, 276, 269, 272, 1040, 3040, 292, 6549, 9107, 13329, 9323, 5668, 1263, 539, 634, 26323, 2986, 26913, 281, 1107, 24589, 14702, 2372, 5474, 769, 476, 10082, 276, 5853, 539, 634, 3689, 779, 4165, 529, 18561, 5980, 269, 594, 269, 623, 2720, 3726, 2986, 25734, 630, 4186, 4700, 1107, 295, 739, 1988, 670, 2086, 1229, 634, 715, 2135, 1190, 11780, 769, 968, 18872, 594, 341, 800, 892, 1107, 763, 25550, 6837, 267, 476, 10082, 275, 595, 6817, 1280, 634, 13159, 589, 2513, 819, 2986, 634, 32013, 11780, 267, 589, 5681, 332, 976, 1677, 6904, 3267, 476, 1724, 628, 267, 476, 1708, 271, 563, 16446, 18277, 14576, 1546, 7585, 3057, 2917, 6452, 3581, 2871, 527, 732, 18264, 21741, 2271, 549, 310, 517, 1405, 1411, 6435, 1677, 7327, 1452, 14576, 338, 2986, 15213, 7790, 595, 667, 2506, 595, 667, 717, 595, 20531, 2353, 594, 17451, 16874, 267, 4414, 18277, 14576, 338, 267, 667, 717, 595, 667, 4414, 18277, 14576, 338, 269, 667, 717, 2506, 661, 2006, 27457, 622, 2659, 2383, 3245, 10076, 26913, 267, 595, 595, 20324, 2549, 7183, 1809, 3776, 2383, 2052, 5131, 3776, 9650, 338, 269, 717, 2506, 476, 736, 628, 267, 476, 1708, 271, 763, 31519, 910, 9210, 4593, 29914, 5783, 2986, 634, 5549, 28271, 763, 31519, 17461, 10312, 281, 634, 30687, 2986, 2696, 779, 4658, 630, 2750, 21402, 476, 1556, 281, 272, 268, 1428, 281, 2641, 264, 2696, 12984, 2060, 634, 4658, 1306, 1358, 968, 20852, 4934, 892, 630, 1492, 22175, 1968, 12791, 2986, 634, 6478, 31519, 264, 3245, 26913, 20553, 15213, 3414, 634, 4826, 269, 634, 4658, 2986, 2696, 5620, 6733, 539, 7982, 2201, 901, 5384, 1677, 9815, 23067, 1879, 2696, 1772, 26726, 1656, 1358, 18461, 23452, 269, 1280, 634, 7642, 267, 23883, 267, 634, 3171, 770, 2986, 30687, 5901, 338, 1325, 633, 901, 11759, 7926, 269, 1280, 3267, 476, 2641, 628, 267, 476, 1708, 271, 763, 13437, 2986, 15213, 281, 3057, 9398, 1656, 634, 20616, 11352, 3267, 274, 667, 7469, 928, 8055, 267, 645, 3672, 769, 19837, 550, 281, 15190, 15066, 9524, 1734, 2986, 17813, 1656, 15213, 267, 476, 6977, 271, 268, 4489, 271, 630, 291, 584, 5069, 267, 715, 5861, 1421, 476, 1220, 277, 1070, 476, 278, 630, 638, 21320, 1040, 1306, 8055, 1656, 594, 21909, 267, 769, 634, 661, 662, 14482, 5460, 1656, 20553, 634, 715, 12078, 2578, 3753, 267, 26913, 1656, 15213, 1280, 3022, 2353, 10662, 1656, 3752, 328, 268, 11023, 885, 2334, 16393, 11686, 17813, 1306, 634, 12729, 6178, 2986, 16338, 2107, 16140, 2986, 7991, 267, 589, 29203, 2334, 1772, 4432, 3660, 1635, 28246, 4039, 4800, 2201, 3267, 476, 1015, 628, 267, 476, 1708, 271, 563, 15578, 2048, 13052, 302, 12087, 645, 7495, 312, 5442, 476, 866, 8025, 595, 7728, 7838, 312, 645, 6020, 2316, 17239, 19010, 24717, 9692, 271, 268, 4350, 271, 630, 289, 7806, 2023, 18264, 1325, 269, 476, 1960, 272, 1070, 634, 18112, 550, 2201, 634, 16972, 8609, 630, 313, 3438, 476, 1220, 274, 1070, 645, 3672, 769, 19837, 550, 281, 15190, 15066, 9524, 1734, 2986, 17813, 1656, 15213, 267, 476, 6977, 271, 268, 4489, 271, 630, 29662, 758, 338, 476, 1220, 277, 1070, 32641, 2201, 634, 16972, 8609, 281, 23830, 2986, 26913, 1656, 634, 4563, 10886, 630, 310, 11596, 476, 1220, 278, 1070, 715, 12078, 31588, 1722, 20989, 1656, 634, 15875, 7402, 3300, 630, 294, 746, 476, 1001, 272, 1070, 3624, 1656, 634, 16972, 22569, 1588, 281, 5927, 2231, 9980, 342, 1441, 630, 13528, 534, 3267, 476, 1321, 628, 267, 476, 1708, 271, 12218, 3336, 12754, 13268, 564, 26913, 267, 15213, 267, 1656, 634, 6519, 3267, 1103, 476, 5908, 276, 267, 20388, 902, 654, 550, 2201, 1677, 6583, 1501, 634, 3689, 6519, 5600, 6490, 7546, 267, 589, 2051, 1819, 2494, 779, 3816, 514, 4593, 1878, 2986, 6276, 23885, 269, 11374, 23885, 779, 3465, 19409, 267, 3416, 331, 8491, 4658, 8033, 4240, 1677, 16065, 634, 6519, 5600, 269, 3465, 6342, 3627, 2372, 514, 1097, 17566, 267, 12448, 12722, 267, 9410, 11709, 645, 675, 333, 267, 3627, 14977, 2401, 267, 6276, 918, 269, 2717, 330, 267, 1656, 2098, 778, 776, 13177, 2353, 13242, 3416, 331, 8491, 8534, 4438, 4256, 8556, 5928, 269, 10251, 267, 898, 1772, 3267, 476, 274, 628, 267, 476, 1708, 271, 3721, 338, 1677, 15213, 769, 2441, 3721, 338, 1677, 15213, 769, 2441, 8895, 520, 2103, 476, 276, 281, 272, 590, 904, 267, 968, 2005, 1772, 1280, 15213, 2334, 2441, 13201, 5590, 2974, 5131, 269, 5776, 674, 3305, 267, 3973, 267, 1656, 1684, 3502, 2913, 2659, 2383, 2142, 645, 6324, 2989, 11088, 1635, 589, 962, 5803, 2986, 26913, 1848, 1403, 1411, 5620, 1234, 18727, 2441, 1306, 2659, 14205, 1640, 267, 1261, 13201, 1325, 2819, 5590, 1411, 5131, 3414, 3571, 7861, 800, 3683, 16429, 1656, 12280, 2201, 634, 9061, 269, 634, 7726, 1772, 281, 3657, 1411, 12389, 3267, 476, 2190, 628, 267, 476, 1708, 271, 563, 12606, 634, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 3267, 763, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 700, 1478, 6468, 15434, 557, 661, 1504, 269, 8281, 634, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 700, 1478, 6468, 15434, 557, 7300, 3367, 634, 31981, 2986, 21058, 11557, 7081, 2142, 634, 9457, 995, 700, 1478, 6468, 15434, 557, 7300, 5113, 634, 3163, 19992, 634, 12267, 476, 274, 6113, 9990, 267, 14559, 5295, 589, 10414, 1280, 15213, 2107, 26913, 267, 24434, 344, 476, 1724, 628, 267, 476, 1708, 271 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 510, 418, 489, 379, 27962, 18998, 418, 378, 367, 418, 368, 366, 419, 511, 487, 419, 499, 503, 27730, 419, 481, 511, 25426, 357, 17295, 364, 7511, 27730, 13200, 509, 418, 493, 494, 28032, 505, 4970, 497, 4970, 504, 7511, 27730, 10951, 363, 10951, 491, 20693, 350, 8147, 25060, 483, 418, 489, 361, 12916, 484, 21251, 30522, 494, 30678, 13625, 28786, 19540, 503, 8147, 10112, 9892, 28786, 19540, 503, 8147, 291, 1170, 10488, 28786, 19540, 503, 8147, 27751, 28786, 19540, 503, 8147, 16533, 493, 14756, 482, 30853, 4970, 504, 28786, 19540, 503, 8147, 3682, 27760, 28786, 19540, 503, 8147, 26261, 28786, 19540, 503, 8147, 303, 19948, 28786, 19540, 503, 8147, 18777, 350, 28997, 501, 10951, 374, 30853, 4970, 504, 28786, 19540, 503, 8147, 18777, 374, 24757, 32517, 362, 418, 498, 373, 25520, 418, 370, 355, 420, 487, 366, 8147, 419, 377, 495, 13644, 378, 28786, 417, 479, 504, 8147, 1410, 600, 28786, 26033, 481, 419, 511, 487, 419, 511, 487, 12486, 19540, 503, 30853, 420, 490, 481, 18713, 368, 418, 370, 369, 25203, 500, 421, 360, 502, 18809, 8147, 10951, 361, 26175, 495, 8147, 419, 510, 498, 419, 358, 370, 13200, 509, 419, 511, 487, 418, 369, 371, 14035, 500, 419, 499, 503, 27730, 10429, 357, 421, 502, 370, 418, 362, 369, 8147, 20001, 494, 16533, 482, 19404, 495, 420, 508, 491, 8147, 14756, 493, 418, 369, 492, 27730, 8147, 25263, 504, 18777, 350, 27730, 8147, 14395, 350, 18777, 350, 27730, 8147, 28997, 350, 419, 494, 484, 27730, 419, 511, 487, 10429, 357, 419, 494, 481, 4200, 260, 4970, 497, 4970, 504, 26175, 495, 25203, 362, 12486, 19540, 503, 30853, 18713, 351, 421, 502, 509, 20721, 351, 20069, 4970, 497, 4970, 504, 420, 489, 365, 13644, 511, 30006, 491, 13644, 511, 30853, 26033, 483, 8147, 18263, 509, 20069, 418, 369, 371, 14035, 500, 12571, 491, 21550, 350, 419, 350, 499, 22287, 504, 419, 499, 503, 27730, 13200, 509, 8147, 30006, 493, 12916, 491, 19540, 503, 30853, 26033, 479, 27747, 486, 421, 25693, 418, 489, 354, 20069, 13213, 485, 419, 350, 361, 7511, 13644, 511, 420, 357, 478, 420, 25693, 20693, 505, 8147, 4970, 497, 4970, 504, 7511, 27730, 26175, 495, 420, 481, 490, 418, 503, 363, 25520, 27730, 10951, 363, 19540, 503, 30853, 14756, 493, 421, 359, 490, 12486, 16043, 495, 10524, 361, 19867, 379, 13644, 374, 1911, 260, 31308, 509, 10254, 505, 8147, 1911, 260, 4970, 497, 4970, 504, 8147, 1911, 260, 16583, 484, 28793, 8147, 1911, 260, 418, 375, 350, 418, 482, 493, 12486, 692, 1012, 30731, 28786, 19540, 503, 692, 21316, 25278, 476, 15159, 13601, 26175, 491, 17958, 30678, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 7511, 421, 360, 502, 26233, 356, 420, 25693, 13644, 511, 420, 357, 478, 12486, 14395, 481, 16533, 484, 18777, 350, 28997, 501, 18998, 23746, 25335, 484, 25060, 500, 25520, 419, 376, 500, 31801, 489, 421, 505, 484, 29873, 21928, 22047, 13107, 497, 30678, 12916, 379, 17958, 7511, 27064, 363, 417, 351, 481, 18809, 8147, 10429, 370, 18809, 25426, 362, 30903, 502, 25520, 25335, 352, 19540, 367, 25913, 418, 350, 486, 23284, 419, 484, 509, 418, 480, 487, 7511, 12255, 27730, 31033, 9463, 371, 23989, 419, 353, 374, 12486, 10429, 372, 417, 508, 489, 17958, 20881, 498, 25060, 483, 418, 489, 361, 16088, 12255, 27730, 25520, 18777, 350, 28997, 501, 28997, 501, 25622, 19764, 478, 9463, 495, 417, 375, 374, 418, 357, 350, 18998, 10524, 379, 419, 506, 509, 25520, 31308, 509, 417, 508, 489, 10254, 370, 30853, 12255, 29004, 362, 26166, 22909, 494, 18998, 26406, 351, 27381, 351, 25520, 23746, 25335, 484, 25060, 500, 26175, 495, 27730, 25520, 26266, 354, 31801, 489, 18713, 378, 25051, 351, 18021, 498, 17958, 31801, 489, 31365, 19764, 478, 9463, 495, 8147, 25060, 483, 418, 489, 361, 18713, 378, 25051, 351, 17958, 16043, 371, 419, 499, 490, 30837, 351, 22909, 482, 417, 375, 374, 21316, 25278, 476, 15159, 22047, 11590, 353, 11590, 496, 19764, 493, 419, 367, 375, 14756, 509, 8147, 10429, 370, 417, 509, 374, 10951, 361, 12255, 29004, 362, 30317, 27381, 510, 15159, 22047, 21251, 421, 506, 478, 28884, 14756, 368, 18021, 355, 7511, 12255, 14756, 482, 12486, 30244, 12916, 379, 418, 480, 357, 23746, 23284, 25335, 352, 19540, 367, 18777, 372, 14035, 504, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 25426, 362, 30903, 502, 8147, 16533, 353, 10429, 370, 15159, 421, 480, 352, 11590, 505, 10429, 371, 20069, 419, 509, 358, 421, 502, 369, 25520, 12571, 495, 19404, 493, 10429, 361, 19764, 493, 7511, 25426, 362, 30903, 502, 8147, 26033, 490, 9463, 359, 421, 506, 478, 17958, 595, 476, 16043, 500, 10783, 3757, 22614, 511, 487, 21550, 485, 19404, 493, 30837, 508, 11590, 353, 11590, 496, 19764, 493, 13644, 511, 420, 357, 478, 419, 376, 500, 19540, 503, 31801, 489, 31365, 19867, 478, 421, 506, 478, 7511, 28793, 25426, 368, 7511, 13601, 16533, 493, 421, 481, 357, 26166, 12486, 21316, 25278, 476, 12571, 491, 26175, 364, 28786, 23989, 419, 509, 358, 421, 502, 369, 14395, 508, 421, 359, 490, 14395, 353, 12486, 21316, 25278, 476, 31006, 10254, 507, 7511, 419, 376, 500, 19540, 503, 25203, 362, 7511, 15159, 418, 493, 494, 28032, 505, 28098, 13200, 365, 700, 2562, 303, 19272, 13127, 23687, 661, 3041, 303, 19272, 28859, 350, 373, 25203, 362, 19764, 478, 9463, 495, 7511, 419, 509, 358, 421, 502, 369, 420, 377, 363, 10524, 370, 7511, 420, 377, 375, 23521, 378, 18777, 379, 25426, 362, 8147, 30244, 4970, 353, 14748, 421, 350, 373, 25203, 362, 10429, 365, 12571, 490, 28786, 23989, 29072, 419, 509, 358, 421, 502, 369, 18777, 350, 28997, 501, 420, 377, 363, 10524, 370, 7511, 31006, 13161, 364, 418, 488, 478, 10951, 363, 12486, 21316, 25278, 476, 14756, 493, 13213, 485, 14035, 504, 23946, 368, 7511, 9463, 495, 31271, 499, 8147, 23523, 501, 28996, 29072, 18777, 372, 14035, 504, 17958, 16043, 371, 7511, 418, 488, 499, 24662, 12486, 21928, 27962, 27730, 27064, 363, 417, 351, 481, 18809, 8147, 14395, 481, 15159, 12255, 27730, 18998, 26266, 354, 31801, 489, 25520, 26175, 495, 27730, 24662, 25426, 357, 25520, 421, 360, 502, 419, 374, 356, 13644, 378, 31801, 489, 7511, 21550, 485, 16583, 484, 10533, 503, 27730, 26266, 354, 10429, 371, 12486, 21928, 26266, 354, 4970, 504, 30903, 484, 417, 509, 509, 8147, 21316, 25278, 476, 15159, 421, 360, 502, 10533, 486, 419, 510, 498, 419, 358, 370, 18998, 19764, 478, 9463, 495, 25520, 26166, 22909, 494, 7511, 421, 355, 500, 20881, 487, 26266, 354, 10429, 371, 12486, 21316, 25278, 476, 10429, 371, 20069, 13601, 419, 367, 375, 28578, 26175, 364, 20992, 26266, 354, 10429, 371, 28997, 365, 7511, 29830, 373, 27936, 30678, 18021, 498, 17958, 31801, 489, 31365, 7511, 25335, 352, 19540, 367, 25913, 418, 350, 486, 12486, 28098, 30678, 27962, 14035, 504, 12255, 30731, 476, 17958, 16043, 371, 23521, 354, 13644, 368, 30837, 508, 27747, 372, 19404, 491, 28884, 8147, 26266, 354, 10429, 371, 28997, 365, 10429, 479, 18777, 372, 418, 480, 357, 27730, 18263, 510, 18021, 498, 17958, 4970, 497, 4970, 504, 418, 488, 478, 10951, 363, 12486, 26266, 354, 10429, 371, 28997, 365, 15159, 30731, 13127, 485, 30936, 27818, 300, 476, 24757, 10524, 370, 24724, 7511, 14756, 376, 12571, 486, 421, 505, 484, 12571, 486, 8147, 23746, 19867, 358, 31271, 499, 30731, 22614, 492, 363, 417, 351, 481, 23284, 25335, 352, 19540, 367, 29830, 373, 27936, 32352, 10254, 360, 7511, 25426, 362, 30903, 502, 12486, 23746, 17958, 26266, 354, 10429, 371, 28997, 365, 7511, 30903, 484, 417, 509, 509, 25060, 483, 418, 489, 361, 32517, 350, 9463, 371, 14035, 482, 419, 494, 484, 18998, 26406, 356, 10254, 370, 419, 367, 375, 14756, 509, 18998, 419, 354, 508, 14756, 493, 419, 377, 495, 14756, 506, 18998, 418, 357, 350, 419, 367, 488, 20881, 375, 20001, 495, 18998, 16533, 493, 21796, 351, 18998, 10524, 379, 419, 506, 509, 419, 511, 487, 12486, 0, 25820, 607, 1970, 607, 8096, 4510, 280, 280, 1923, 6258, 547, 1628, 2688, 1804, 1893, 2203, 3156, 692, 8368, 540, 12474, 692, 7659, 8579, 14778, 609, 1483, 3734, 7653, 692, 20103, 476, 278, 267, 476, 1708, 273, 692, 21809, 6750, 14778, 948, 721, 1174, 513, 1966, 1732, 676, 26471, 513, 2039, 540, 2009, 2418, 547, 519, 4632, 267, 1818, 873, 1360, 3730, 538, 1239, 2257, 543, 3684, 1565, 269, 3371, 616, 476, 277, 2010, 540, 14778, 609, 16022, 1806, 602, 1419, 2049, 538, 1483, 3734, 1239, 780, 1103, 7194, 267, 513, 3892, 568, 3274, 513, 1259, 547, 1174, 875, 513, 1305, 540, 1239, 2798, 616, 3262, 936, 930, 2016, 2039, 540, 2418, 780, 2690, 1383, 267, 3892, 3217, 1747, 950, 519, 21471, 543, 519, 16073, 3858, 547, 6133, 519, 1587, 1282, 513, 1808, 942, 7406, 269, 901, 1106, 540, 3892, 568, 17820, 676, 519, 6876, 6603, 1063, 11197, 543, 11083, 261, 307, 547, 15814, 741, 2472, 538, 519, 2136, 2276, 780, 15650, 540, 8579, 14778, 692, 2467, 616, 1896, 8579, 14778, 267, 1142, 8204, 1114, 2010, 540, 1239, 543, 7674, 1114, 5301, 269, 3371, 649, 786, 3382, 1896, 4122, 1031, 14778, 780, 272, 269, 16453, 17392, 454, 273, 269, 512, 5937, 626, 9084, 454, 274, 269, 23642, 6706, 17392, 454, 275, 269, 7313, 24480, 17392, 454, 276, 269, 31538, 17392, 692, 3682, 2389, 760, 281, 2037, 2651, 538, 519, 1239, 2257, 18849, 322, 2086, 2221, 543, 4434, 707, 1565, 692, 272, 269, 16453, 17392, 692, 288, 3339, 3892, 849, 1634, 607, 968, 294, 320, 11701, 17392, 892, 2982, 519, 5506, 5860, 585, 513, 2551, 540, 6024, 1239, 630, 1721, 1383, 4463, 538, 4699, 585, 782, 715, 10621, 5716, 1040, 4746, 267, 621, 6920, 519, 10171, 602, 1022, 715, 10621, 6345, 786, 723, 513, 1880, 4463, 269, 2913, 779, 2161, 7864, 5716, 616, 1454, 26339, 610, 10156, 982, 8912, 282, 1034, 616, 2673, 547, 3328, 4463, 780, 763, 3262, 540, 519, 2418, 538, 938, 2551, 568, 6027, 1210, 513, 11973, 1572, 3044, 11539, 269, 634, 2506, 2869, 673, 14329, 6645, 721, 602, 1384, 1892, 476, 6924, 269, 274, 260, 540, 519, 2418, 786, 2887, 1063, 272, 3044, 11539, 1657, 543, 2630, 519, 1611, 454, 1892, 476, 4817, 269, 276, 260, 540, 519, 2418, 786, 2887, 1063, 273, 3044, 24017, 1657, 543, 2630, 519, 1611, 454, 1892, 476, 4200, 269, 278, 260, 540, 519, 2418, 786, 2887, 1063, 274, 3044, 24017, 1657, 543, 2630, 519, 1611, 692, 4131, 779, 8263, 602, 649, 917, 602, 519, 1611, 4463, 540, 782, 5716, 538, 519, 715, 10621, 568, 476, 1220, 9492, 543, 519, 3044, 11539, 568, 476, 278, 9492, 269, 1403, 2274, 17588, 6276, 568, 476, 18684, 4699, 7381, 267, 1018, 8167, 540, 715, 10621, 5716, 568, 646, 26339, 982, 286, 1284, 666, 4137, 713, 856, 256, 2274, 289, 1258, 568, 476, 277, 9492, 26339, 982, 519, 1611, 630, 18684, 9492, 1107, 476, 1220, 9492, 1040, 4595, 519, 3044, 11539, 568, 476, 278, 9492, 267, 646, 568, 476, 271, 269, 10436, 3044, 24017, 630, 277, 9492, 1315, 476, 278, 9492, 264, 1657, 519, 1611, 780, 5978, 1871, 540, 476, 271, 269, 10436, 3044, 24017, 568, 1572, 519, 1990, 1606, 14537, 269, 901, 2982, 602, 6276, 568, 26339, 982, 476, 3199, 269, 276, 260, 540, 5716, 538, 519, 715, 10621, 2439, 1607, 666, 581, 10736, 547, 513, 30878, 1210, 519, 5506, 5860, 1599, 630, 528, 513, 1413, 5346, 3349, 264, 4758, 721, 938, 2626, 269, 589, 1109, 22238, 1464, 5860, 1599, 630, 14457, 264, 11225, 519, 4351, 4756, 779, 5506, 540, 4947, 1369, 513, 3982, 2039, 540, 2418, 780, 273, 269, 512, 1673, 626, 9084, 692, 288, 512, 1673, 626, 9084, 568, 27101, 1472, 519, 1611, 267, 899, 513, 3339, 3892, 267, 543, 922, 4560, 568, 5462, 676, 519, 13065, 540, 519, 1239, 269, 589, 512, 1673, 626, 9084, 568, 1500, 585, 6381, 1141, 519, 3732, 2450, 568, 3908, 267, 855, 513, 3339, 3892, 1568, 609, 513, 2551, 269, 2060, 513, 4130, 3732, 2450, 267, 519, 512, 1673, 626, 9084, 3217, 593, 513, 6626, 2039, 547, 2272, 585, 519, 2799, 1377, 540, 10462, 780, 763, 1297, 540, 5232, 540, 5191, 267, 799, 568, 5462, 676, 12270, 519, 3732, 2450, 676, 835, 267, 11887, 519, 7455, 540, 513, 512, 1673, 626, 9084, 269, 634, 512, 1673, 626, 9084, 11148, 547, 18613, 513, 3339, 3892, 607, 3732, 2450, 543, 5232, 540, 5191, 2333, 1317, 513, 8273, 3732, 2450, 4679, 938, 6015, 538, 21501, 519, 5817, 2551, 7194, 780, 2690, 1383, 267, 15475, 649, 4308, 609, 519, 2698, 1297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 749, 514, 11911, 519, 9019, 2557, 1851, 1126, 24481, 543, 2022, 31691, 11299, 547, 519, 17732, 540, 4274, 4571, 342, 1161, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 269, 968, 3891, 10645, 602, 519, 2482, 4571, 342, 1161, 941, 1419, 11361, 2021, 609, 1100, 824, 1797, 540, 17612, 269, 1358, 13603, 909, 741, 1983, 676, 12419, 519, 9002, 540, 519, 4057, 585, 1100, 5279, 610, 513, 8766, 13927, 269, 1879, 789, 5249, 741, 1259, 909, 547, 1647, 5035, 5321, 267, 1776, 30497, 1131, 7390, 547, 519, 4057, 267, 1141, 789, 1131, 979, 689, 4807, 547, 4807, 1510, 11067, 741, 3946, 269, 634, 1007, 11299, 941, 16053, 538, 519, 2629, 2395, 1739, 27638, 2223, 1352, 3081, 16638, 476, 5002, 279, 267, 1310, 519, 6765, 540, 519, 962, 749, 1231, 685, 21836, 1126, 267, 13259, 340, 9366, 267, 676, 4274, 4571, 342, 1057, 19257, 3554, 962, 6308, 327, 13403, 267, 898, 320, 9053, 14468, 4571, 342, 1161, 5861, 1068, 1881, 4571, 342, 1161, 2356, 6594, 4571, 342, 604, 2044, 538, 21499, 543, 7444, 8719, 519, 2482, 4571, 342, 1161, 269, 634, 26442, 7806, 27850, 574, 5980, 540, 808, 3530, 320, 9333, 809, 547, 4217, 519, 13243, 2021, 676, 9878, 519, 4274, 4571, 342, 1161, 6993, 8434, 16159, 28741, 24297, 590, 345, 1245, 10272, 13243, 538, 476, 4489, 271, 269, 4173, 8710, 693, 519, 3668, 540, 1072, 2533, 3366, 547, 519, 15713, 538, 476, 4489, 273, 540, 606, 1977, 3084, 2021, 779, 27098, 626, 3919, 547, 4163, 856, 4052, 3785, 547, 2087, 519, 3510, 538, 661, 4958, 345, 962, 529, 5361, 269, 21231, 1634, 607, 519, 667, 18805, 540, 27098, 267, 621, 2968, 16874, 817, 1695, 6468, 779, 9257, 16638, 476, 4489, 274, 1079, 1977, 1857, 1072, 11923, 267, 14986, 18087, 17839, 543, 24981, 8092, 344, 267, 941, 2366, 547, 13243, 593, 15773, 540, 667, 18805, 540, 27098, 547, 948, 12115, 11299, 543, 9002, 31422, 29670, 538, 513, 1507, 2777, 1851, 519, 4057, 540, 2725, 320, 2701, 685, 541, 574, 267, 789, 3323, 2324, 538, 9316, 609, 824, 1072, 3906, 543, 4966, 899, 3220, 269, 570, 747, 334, 779, 3750, 16758, 267, 519, 681, 16251, 18876, 11233, 630, 1729, 1831, 16874, 817, 1695, 11233, 1070, 519, 30854, 584, 4659, 543, 12963, 1014, 3220, 269, 4477, 6511, 918, 12298, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 7868, 12355, 6468, 779, 9257, 8678, 4229, 609, 16874, 817, 1695, 6468, 547, 1463, 2200, 547, 1416, 585, 519, 3993, 543, 1200, 20169, 269, 10312, 729, 593, 9176, 2021, 945, 941, 26997, 547, 979, 547, 16874, 817, 1695, 13500, 585, 948, 543, 5583, 269, 1358, 21787, 519, 9409, 3750, 267, 5156, 15555, 1819, 16897, 2984, 827, 13500, 543, 15653, 20604, 12256, 1317, 789, 5156, 602, 519, 1434, 3112, 581, 6027, 31422, 2691, 2021, 6368, 22848, 877, 741, 4145, 543, 4682, 547, 519, 6413, 267, 789, 941, 2366, 1753, 1813, 547, 519, 17732, 540, 15135, 267, 799, 941, 10710, 585, 2352, 2665, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 16638, 476, 4572, 272, 267, 13243, 729, 5258, 883, 476, 1321, 13102, 269, 589, 4807, 538, 4359, 6379, 729, 13886, 547, 2638, 5725, 543, 513, 2777, 1289, 540, 513, 10629, 267, 945, 4956, 2436, 610, 711, 1352, 1058, 2285, 4332, 693, 1753, 269, 1403, 1352, 2877, 5571, 2564, 2126, 267, 519, 10629, 1131, 2285, 1200, 513, 3556, 585, 16153, 339, 766, 547, 519, 6413, 267, 799, 1131, 711, 3398, 791, 1478, 1639, 2021, 269, 11374, 27638, 267, 891, 2021, 1131, 581, 10272, 3232, 676, 4571, 342, 1161, 585, 513, 3018, 267, 950, 789, 941, 1034, 693, 1981, 269, 16874, 817, 1695, 6468, 3576, 1416, 540, 519, 2564, 6351, 267, 1247, 519, 12355, 6468, 10443, 519, 7622, 1282, 519, 1007, 3993, 779, 973, 10967, 566, 7868, 1985, 5692, 729, 1416, 585, 519, 20169, 269, 8307, 30564, 12963, 2103, 941, 17101, 547, 2285, 5528, 593, 1697, 4816, 1416, 267, 855, 32036, 4765, 10506, 15286, 11299, 689, 2469, 972, 269, 898, 729, 4061, 4956, 547, 3715, 10473, 1141, 11299, 1223, 4309, 2027, 2866, 31422, 763, 2012, 568, 17785, 520, 16199, 822, 1496, 2108, 320, 6749, 540, 5144, 892, 3910, 855, 519, 2856, 3297, 621, 568, 2069, 543, 6604, 2223, 3081, 7225, 603, 6008, 10719, 6363, 516, 644, 267, 945, 6039, 607, 519, 8689, 540, 519, 670, 269, 590, 345, 1245, 16874, 817, 1695, 12355, 2160, 3427, 540, 16711, 689, 476, 3422, 279, 547, 476, 2735, 274, 269, 968, 7197, 540, 519, 4052, 960, 540, 519, 11923, 538, 16874, 817, 1695, 779, 8808, 1153, 538, 922, 1101, 1296, 729, 607, 2146, 11923, 269, 16874, 817, 1695, 779, 17785, 520, 16199, 822, 19190, 941, 8118, 2429, 5840, 1848, 2026, 513, 1762, 12016, 538, 519, 476, 3707, 271, 338, 267, 6008, 10719, 268, 22506, 6785, 590, 345, 1245, 543, 1977, 1857, 1072, 12016, 7137, 15925, 14924, 2006, 269, 634, 6422, 14924, 2006, 3366, 519, 6560, 585, 519, 1007, 6728, 538, 4873, 476, 4572, 272, 267, 32222, 547, 3398, 968, 7224, 892, 585, 606, 2626, 689, 11299, 26997, 547, 979, 519, 6728, 269, 2701, 2366, 543, 10288, 1200, 11923, 547, 5418, 611, 547, 11299, 693, 1753, 281, 968, 2252, 789, 1810, 1406, 1577, 596, 538, 519, 4395, 7450, 267, 979, 538, 519, 1394, 7450, 269, 1656, 952, 789, 1810, 1406, 1577, 596, 538, 519, 1394, 7450, 267, 979, 998, 519, 6885, 269, 1809, 1205, 538, 17373, 14924, 2006, 779, 2709, 540, 1863, 2482, 22863, 543, 13594, 28962, 4542, 5144, 729, 19585, 593, 11299, 4758, 4332, 693, 681, 16251, 18876, 11233, 269, 2701, 1131, 1287, 18609, 873, 547, 3643, 519, 6728, 547, 2333, 741, 9002, 685, 8458, 540, 6668, 11482, 1343, 2006, 779, 3646, 9863, 3811, 269, 4438, 476, 4572, 274, 267, 11923, 9411, 689, 519, 4395, 7450, 543, 15695, 11299, 593, 4816, 23611, 7041, 543, 12104, 3130, 2529, 1550, 1082, 11299, 941, 8572, 547, 12016, 267, 13594, 28962, 5144, 729, 3812, 693, 519, 6196, 4975, 6728, 269, 634, 2504, 729, 7620, 7307, 676, 7579, 320, 21125, 267, 543, 1287, 519, 12355, 6468, 3576, 936, 31422, 300, 1278, 338, 4947, 547, 519, 6728, 585, 519, 1101, 942, 4607, 513, 10516, 540, 513, 17646, 8708, 2223, 4967, 623, 1731, 601, 19053, 629, 926, 269, 968, 2750, 1061, 585, 519, 5393, 4057, 267, 1034, 11299, 6976, 513, 18351, 13927, 585, 519, 5144, 267, 2094, 519, 5234, 4941, 547, 6521, 519, 5539, 540, 12391, 585, 519, 1126, 547, 519, 3237, 1848, 303, 8824, 1014, 3220, 269, 4477, 6511, 918, 12298, 8067, 1229, 693, 519, 6728, 267, 4051, 532, 2503, 656, 6259, 543, 6014, 2021, 543, 1007, 11299, 593, 1126, 1416, 547, 2539, 519, 9019, 2557, 269, 17785, 520, 16199, 822, 779, 2533, 9450, 547, 7802, 12256, 269, 634, 14266, 2882, 513, 476, 4572, 279, 4670, 676, 962, 320, 685, 659, 990, 5484, 5937, 990, 267, 799, 2982, 2021, 689, 519, 6196, 4975, 17785, 520, 16199, 822, 6728, 22927, 1019, 3639, 585, 29507, 269, 10287, 5346, 593, 519, 10867, 779, 1646, 729, 2944, 909, 547, 519, 2085, 540, 2185, 269, 3973, 17785, 520, 16199, 822, 10473, 9976, 21846, 6520, 24583, 3000, 625, 267, 16287, 519, 5912, 689, 17785, 520, 16199, 822, 6392, 547, 519, 12963, 1014, 269, 2060, 1153, 720, 1453, 267, 519, 17785, 520, 16199, 822, 5234, 10692, 911, 577, 5448, 543, 8258, 11988, 543, 1128, 2683, 519, 3741, 540, 5711, 9882, 269, 4002, 4159, 538, 519, 14266, 616, 1079, 17785, 520, 16199, 822, 12016, 31119, 689, 519, 20562, 515, 517, 540, 3084, 22082, 31119, 2442, 538, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 31422, 31738, 520, 16199, 822, 5796, 19443, 538, 7598, 519, 27098, 626, 5326, 540, 2870, 513, 1007, 1268, 1107, 2635, 538, 6891, 543, 1560, 2223, 3081, 623, 1731, 601, 19053, 629, 926, 269, 30719, 267, 851, 540, 519, 30222, 1184, 267, 3238, 513, 1689, 538, 519, 2168, 543, 5289, 1915, 540, 519, 1007, 4035, 543, 519, 5137, 540, 519, 17939, 571, 10828, 1848, 2108, 9213, 779, 4395, 4536, 585, 17785, 520, 16199, 822, 616, 519, 2048, 2908, 24896, 16224, 892, 3081, 3220, 269, 23436, 11676, 514, 267, 2212, 540, 519, 2657, 12080, 779, 4972, 540, 631, 11189, 267, 4132, 543, 32183, 2657, 269, 968, 1607, 2882, 4758, 1489, 543, 13508, 547, 3895, 10867, 543, 2038, 1126, 1646, 267, 7114, 11095, 9659, 282, 4758, 1489, 547, 11299, 543, 18971, 585, 10867, 1790, 1861, 5872, 543, 7114, 1346, 945, 991, 6351, 282, 5009, 2635, 19824, 543, 7303, 8377, 1848, 288, 16346, 540, 2022, 31691, 4965, 630, 303, 11520, 1070, 835, 540, 519, 1034, 1271, 2175, 602, 28148, 1860, 14774, 268, 10867, 5872, 267, 568, 2810, 269, 968, 301, 2720, 525, 543, 13500, 4309, 2866, 547, 2697, 623, 11520, 2223, 3081, 11676, 514, 269, 968, 2171, 798, 711, 4867, 723, 16601, 9584, 585, 713, 4524, 855, 616, 2324, 547, 2087, 938, 8446, 543, 1489, 540, 713, 782, 1932, 1455, 2783, 1848, 4407, 538, 519, 2038, 1296, 540, 17785, 520, 16199, 822, 267, 13594, 28962, 5144, 729, 519, 1883, 547, 12256, 685, 1072, 267, 2221, 519, 1489, 540, 8808, 568, 2810, 269, 968, 31738, 520, 16199, 822, 2898, 27329, 569, 7028, 20418, 2223, 3081, 11676, 514, 269, 968, 1103, 519, 2250, 8717, 649, 723, 2944, 1454, 547, 2333, 543, 2087, 938, 1489, 585, 713, 269, 2353, 17785, 520, 16199, 822, 11923, 4309, 2866, 538, 5009, 543, 5885, 20418, 269, 1284, 723, 1128, 21114, 2048, 333, 2720, 532, 15174, 685, 538, 519, 19190, 269, 634, 1857, 1072, 3028, 814, 5063, 13175, 547, 3895, 20418, 325, 7037, 9036, 538, 519, 1857, 5823, 1848, 763, 968, 288, 29100, 540, 22447, 892, 14266, 568, 593, 4159, 693, 519, 21469, 18087, 17839, 6196, 962, 880, 12320, 7040, 7467, 267, 1234, 327, 990, 2107, 670, 1695, 2727, 476, 279, 267, 6014, 22588, 2394, 2904, 269, 20052, 281, 476, 277, 2767, 268, 277, 4029, 280, 454, 12534, 733, 815, 2387, 14294, 909, 585, 634, 13243, 5403, 20031, 1756, 9578, 585, 1175, 1269, 276, 454, 10000, 14079, 707, 2542, 1995, 609, 606, 740, 6954, 1604, 543, 12600, 1543, 0, 3528, 12561, 519, 3864, 5682, 20958, 267, 18202, 856, 538, 3735, 476, 1001, 280, 267, 519, 3864, 8189, 814, 10294, 922, 9837, 547, 723, 519, 2910, 273, 5434, 540, 519, 3864, 5742, 4389, 676, 1100, 1447, 982, 476, 4649, 260, 676, 476, 10711, 271, 267, 543, 547, 1118, 519, 9167, 2916, 16250, 23018, 676, 519, 1032, 476, 13078, 271, 269, 634, 3864, 8693, 4521, 602, 729, 7550, 538, 12343, 267, 4947, 883, 1198, 593, 5147, 476, 3066, 628, 267, 476, 1708, 272, 267, 814, 11506, 1346, 3853, 883, 11006, 3656, 13800, 585, 782, 16588, 2276, 563, 288, 7986, 1747, 538, 519, 3864, 1232, 12365, 1436, 4640, 568, 28286, 1540, 547, 519, 865, 10777, 2048, 13582, 630, 30236, 264, 7250, 8730, 519, 7250, 602, 568, 6383, 998, 14793, 3974, 1210, 7791, 1648, 267, 1510, 1022, 3327, 8166, 1373, 19501, 538, 519, 1184, 269, 6270, 7250, 666, 581, 1031, 607, 606, 3403, 6151, 1570, 267, 607, 4492, 610, 606, 1648, 15298, 610, 513, 1106, 540, 1648, 4859, 282, 19962, 547, 922, 4642, 2910, 273, 12998, 3601, 267, 713, 2306, 621, 606, 5393, 10694, 10682, 585, 8093, 10173, 538, 2872, 267, 3560, 267, 1379, 5108, 543, 8022, 563, 272, 269, 3864, 5742, 454, 763, 1101, 6101, 3561, 547, 2649, 1947, 5750, 519, 31387, 547, 2679, 2342, 779, 7250, 2872, 814, 1044, 519, 476, 1708, 271, 25756, 15613, 585, 513, 2916, 16250, 23018, 2342, 269, 634, 15613, 6663, 547, 7930, 1711, 267, 676, 519, 1032, 476, 13078, 271, 267, 513, 3864, 4346, 1759, 7357, 593, 519, 5108, 543, 946, 540, 7250, 269, 769, 13287, 540, 519, 3853, 1305, 538, 602, 2796, 267, 519, 3864, 8189, 814, 17298, 513, 1297, 540, 7341, 563, 763, 968, 293, 527, 585, 476, 4649, 892, 10189, 267, 5189, 538, 5147, 476, 1708, 272, 267, 568, 513, 1305, 540, 18747, 585, 2847, 2358, 543, 21130, 519, 9167, 9086, 267, 1247, 10962, 1007, 7341, 547, 1118, 2386, 602, 519, 9167, 4507, 616, 538, 1899, 609, 519, 2916, 3853, 8815, 676, 519, 7027, 543, 519, 3864, 12057, 269, 7324, 519, 22204, 538, 968, 293, 527, 585, 476, 4649, 892, 568, 513, 5094, 2048, 22134, 4088, 543, 1232, 12365, 1242, 3154, 2344, 10189, 8730, 16922, 540, 513, 7939, 543, 513, 1463, 633, 18413, 1524, 1455, 3652, 6322, 693, 9591, 519, 9431, 5943, 585, 513, 7463, 7250, 5989, 543, 6990, 543, 7471, 3060, 4058, 563, 763, 7939, 786, 6338, 513, 1305, 540, 3652, 585, 3444, 31215 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3664, 543, 711, 593, 3853, 269, 5213, 1405, 1491, 1250, 2262, 1498, 267, 594, 6415, 2469, 676, 1018, 930, 18560, 5143, 2483, 6246, 269, 12693, 5333, 5288, 3162, 9705, 692, 296, 6415, 7168, 2386, 602, 519, 2034, 835, 729, 538, 563, 4510, 269, 12693, 3162, 9705, 5288, 570, 690, 334, 692, 273, 547, 476, 272, 585, 9705, 693, 476, 3583, 3764, 2336, 3393, 269, 12693, 21668, 4515, 525, 542, 1023, 543, 4841, 780, 296, 6415, 2469, 547, 6280, 1985, 1032, 607, 513, 2489, 2979, 2875, 269, 2991, 1250, 1101, 1032, 267, 23248, 594, 3513, 917, 952, 1775, 899, 2979, 610, 6323, 1732, 543, 1205, 513, 4110, 538, 602, 563, 5379, 269, 12693, 4033, 1109, 19675, 594, 28161, 513, 4223, 11490, 1014, 2496, 20756, 2979, 342, 517, 330, 267, 1131, 596, 2247, 3257, 513, 2370, 6476, 1063, 6986, 2979, 543, 4294, 2979, 286, 1306, 538, 519, 2010, 540, 5049, 596, 3513, 1491, 538, 1142, 2101, 267, 741, 3604, 267, 1018, 596, 666, 798, 609, 1142, 4110, 267, 3092, 594, 993, 4358, 1250, 15938, 2090, 538, 5181, 269, 2755, 594, 1810, 1405, 723, 547, 6430, 593, 1250, 2483, 5325, 269, 12693, 1621, 306, 857, 7711, 772, 1993, 307, 2439, 32452, 267, 7249, 337, 1846, 256, 898, 781, 9277, 547, 581, 2481, 333, 2282, 7543, 547, 1205, 7608, 883, 602, 780, 322, 784, 337, 1846, 812, 454, 5392, 269, 12693, 1215, 1082, 540, 596, 723, 711, 1185, 513, 536, 325, 610, 575, 325, 2496, 298, 25475, 899, 6952, 268, 2420, 585, 803, 269, 594, 1745, 899, 594, 3668, 7850, 1995, 547, 1935, 6690, 602, 594, 6415, 13631, 547, 267, 855, 693, 519, 1482, 942, 267, 1810, 1405, 2731, 1745, 899, 621, 781, 4502, 1250, 942, 547, 2744, 1022, 1995, 609, 6690, 547, 7247, 594, 6415, 711, 13631, 547, 269, 630, 296, 666, 1405, 3494, 594, 6415, 6158, 827, 713, 593, 606, 4950, 8468, 994, 2004, 269, 12693, 1215, 1082, 540, 596, 723, 711, 1185, 513, 536, 325, 610, 575, 325, 2496, 296, 2490, 476, 866, 1985, 3923, 31386, 0, 258, 1975, 17202, 1698, 692, 20278, 513, 851, 540, 519, 12106, 593, 513, 476, 275, 269, 277, 4699, 12718, 865, 602, 519, 2627, 540, 713, 3296, 568, 476, 736, 4699, 273, 269, 14419, 519, 8953, 678, 540, 519, 12106, 689, 799, 519, 20085, 1698, 729, 2759, 780, 4910, 738, 692, 341, 815, 476, 1109, 272, 269, 29575, 4699, 454, 337, 815, 476, 1109, 273, 269, 6924, 275, 4699, 692, 2971, 8827, 1384, 32306, 721, 513, 6085, 540, 1383, 543, 922, 3070, 630, 328, 4318, 269, 952, 621, 568, 1869, 10169, 15458, 1862, 17107, 6826, 519, 1101, 547, 6085, 2439, 2971, 1677, 4194, 713, 1383, 616, 2877, 891, 1702, 689, 6128, 1384, 303, 17233, 17671, 11532, 568, 519, 3490, 585, 519, 1318, 6906, 9498, 269, 6423, 849, 938, 25066, 6906, 9498, 780, 1012, 8921, 2147, 1806, 1384, 272, 269, 1975, 17202, 1698, 476, 275, 454, 1432, 568, 519, 2627, 1858, 540, 513, 20085, 1698, 267, 519, 3490, 8006, 476, 736, 544, 267, 4463, 476, 273, 269, 276, 544, 286, 12433, 1210, 4542, 563, 273, 269, 595, 32385, 10620, 454, 288, 4786, 568, 5116, 593, 513, 11282, 7470, 269, 595, 32385, 10620, 4092, 693, 630, 276, 267, 275, 264, 543, 5842, 17630, 568, 4092, 693, 11196, 1015, 267, 910, 274, 1040, 1215, 2484, 6306, 568, 595, 32385, 10620, 689, 5842, 17630, 593, 519, 4786, 286, 18471, 547, 519, 14282, 20870, 563, 274, 269, 2398, 1143, 15497, 454, 763, 1560, 15497, 540, 513, 2834, 4009, 24388, 814, 606, 5086, 540, 476, 2568, 5232, 609, 519, 3490, 267, 519, 6316, 3259, 568, 476, 1015, 4699, 269, 1548, 568, 519, 4320, 540, 519, 24388, 888, 275, 269, 4144, 6782, 1023, 693, 1318, 5086, 454, 1103, 519, 25671, 1355, 13235, 291, 713, 568, 2016, 281, 9474, 284, 1321, 9492, 7131, 284, 275, 9492, 1656, 32377, 18084, 896, 513, 1318, 5086, 269, 1548, 568, 519, 1858, 540, 713, 25671, 1355, 13235, 291, 888, 276, 269, 634, 5011, 476, 273, 454, 763, 5011, 540, 513, 25671, 1355, 616, 538, 519, 5223, 476, 273, 281, 276, 281, 279, 281, 276, 269, 634, 25671, 1355, 779, 1858, 568, 476, 25090, 269, 4855, 519, 4463, 543, 519, 15943, 540, 519, 25671, 1355, 563, 277, 269, 4855, 6724, 454, 8340, 6724, 540, 519, 5858, 538, 519, 7077, 910, 10974, 540, 4099, 543, 8953, 281, 15017, 278, 269, 700, 30224, 454, 11321, 4897, 630, 4812, 808, 264, 6013, 538, 519, 6371, 543, 12034, 519, 1283, 540, 519, 17895, 630, 4812, 570, 264, 543, 3297, 621, 519, 1283, 540, 519, 561, 30224, 630, 303, 1040, 1923, 570, 307, 1412, 347, 815, 476, 272, 269, 273, 332, 267, 1923, 26076, 1412, 347, 815, 476, 3607, 332, 267, 1923, 808, 307, 1412, 347, 815, 476, 276, 332, 269, 3057, 4897, 6013, 476, 1428, 7397, 2476, 689, 519, 4262, 630, 300, 1040, 12433, 519, 561, 30224, 3845, 689, 519, 4262, 563, 279, 269, 1772, 30801, 6906, 476, 279, 454, 2252, 519, 2557, 540, 519, 5011, 606, 568, 30801, 6906, 568, 476, 278, 281, 277, 281, 278, 267, 1265, 519, 3490, 5086, 2953, 547, 519, 14282, 4110, 563, 280, 269, 595, 762, 1286, 454, 8340, 519, 15038, 3017, 540, 519, 10814, 1286, 950, 621, 14380, 676, 476, 6858, 829, 2113, 548, 543, 519, 18052, 3259, 568, 476, 280, 1789, 544, 563, 1015, 269, 21222, 7267, 3845, 454, 763, 4155, 814, 513, 13506, 540, 476, 279, 10065, 1215, 1082, 7397, 786, 519, 4155, 4473, 593, 513, 8880, 3845, 540, 476, 6110, 332, 888, 1556, 269, 623, 850, 540, 5070, 454, 288, 1804, 18061, 540, 5070, 814, 1044, 546, 22981, 883, 513, 598, 673, 18061, 538, 513, 23999, 269, 634, 1793, 656, 4463, 540, 519, 18061, 568, 476, 736, 3952, 269, 634, 8006, 540, 519, 3490, 540, 519, 5070, 18061, 568, 476, 4029, 3952, 269, 4855, 519, 4320, 540, 519, 18061, 540, 5070, 563, 1321, 269, 9406, 6906, 454, 299, 9554, 476, 1626, 3952, 10301, 909, 476, 1691, 3952, 593, 513, 2777, 3774, 269, 634, 476, 3445, 24266, 5086, 693, 519, 3490, 540, 519, 2777, 543, 3774, 269, 1548, 616, 519, 824, 1079, 7285, 610, 519, 3259, 540, 519, 1850, 540, 519, 13452, 888, 1724, 269, 25351, 4120, 454, 2467, 568, 513, 13551, 609, 513, 3259, 540, 476, 1321, 4699, 543, 513, 15497, 476, 279, 4699, 3476, 982, 519, 8700, 269, 12433, 519, 1858, 540, 13551, 563, 1691, 269, 10222, 9771, 18158, 454, 1432, 568, 519, 4320, 540, 513, 2834, 21083, 18158, 609, 513, 2427, 476, 274, 4699, 1279, 888, 1428, 269, 918, 299, 300, 6906, 454, 8340, 519, 3259, 540, 519, 5011, 540, 519, 6906, 918, 299, 300, 952, 544, 815, 476, 276, 9492, 4463, 547, 544, 815, 476, 275, 269, 276, 4699, 543, 2450, 631, 298, 299, 5086, 568, 476, 3583, 5232, 563, 1626, 269, 11831, 3019, 543, 8115, 454, 5804, 519, 17891, 267, 799, 568, 476, 10844, 544, 1657, 519, 8115, 267, 835, 1439, 540, 519, 8115, 568, 2938, 693, 513, 3178, 5086, 540, 476, 4391, 4113, 543, 519, 2034, 1439, 693, 3178, 5086, 476, 1789, 4113, 476, 1789, 29717, 12433, 519, 3259, 540, 519, 8115, 269, 0, 258, 18281, 6844, 543, 782, 602, 269, 1627, 269, 1548, 568, 519, 6574, 6310, 4542, 2479, 2496, 1012, 19809, 593, 6249, 281, 834, 2419, 5142, 6844, 543, 782, 602, 269, 1627, 269, 1548, 568, 519, 6574, 6310, 4542, 2479, 8119, 1765, 19809, 13973, 1384, 2419, 5142, 6844, 543, 782, 602, 692, 304, 269, 1548, 568, 519, 6574, 6310, 4542, 2479, 2496, 763, 16771, 1169, 942, 634, 16771, 1169, 942, 634, 3830, 602, 5036, 519, 4154, 3044, 540, 6310, 5898, 1548, 1281, 713, 4542, 1611, 267, 543, 1946, 568, 621, 865, 1271, 2496, 763, 1297, 552, 543, 875, 1919, 1332, 1548, 1281, 476, 1911, 260, 5993, 7623, 1719, 1611, 286, 3399, 609, 11278, 1911, 267, 538, 835, 1032, 723, 11278, 1220, 267, 538, 1079, 1296, 723, 11278, 6110, 3399, 609, 11278, 343, 267, 7227, 562, 1296, 267, 1205, 11278, 344, 692, 3719, 267, 649, 1223, 11682, 17955, 519, 1719, 16505, 909, 519, 1032, 883, 631, 11996, 543, 1118, 631, 4679, 540, 630, 1911, 19072, 264, 260, 631, 284, 272, 476, 1911, 260, 2899, 11278, 1220, 631, 284, 273, 476, 2004, 260, 7466, 11278, 18597, 631, 284, 275, 476, 1839, 260, 2185, 2053, 11278, 28192, 269, 1691, 631, 284, 1015, 476, 1015, 260, 4557, 2053, 11278, 28796, 269, 4391, 631, 284, 1911, 476, 272, 260, 476, 1911, 2053, 11278, 17734, 269, 4366, 631, 284, 1911, 271, 476, 271, 269, 272, 260, 476, 1911, 271, 2053, 11278, 27244, 269, 7597, 3399, 609, 11278, 1911, 267, 875, 1454, 798, 649, 1205, 286, 1306, 631, 4991, 1360, 1804, 891, 2338, 1935, 476, 273, 269, 278, 1240, 2053, 11278, 1911, 692, 2252, 649, 10956, 713, 943, 1078, 1719, 4358, 609, 11278, 343, 585, 562, 1296, 649, 1205, 769, 2489, 519, 12825, 1599, 6645, 721, 875, 3388, 2242, 543, 9428, 267, 689, 5210, 547, 5095, 780, 267, 10580, 267, 9642, 2338, 543, 29398, 634, 16380, 6785, 602, 519, 5223, 540, 519, 18592, 547, 519, 8006, 540, 513, 5858, 568, 519, 1482, 585, 782, 10580, 5246, 574, 26433, 4951, 602, 4457, 692, 5278, 12596, 585, 14039, 2274, 30519, 6308, 25586, 10548, 534, 340, 13568, 692, 27078, 894, 2338, 543, 910, 272, 589, 2110, 1686, 540, 10203, 281, 7216, 1004, 18886, 593, 741, 11263, 14597, 602, 2576, 561, 1742, 596, 513, 10800, 269, 1809, 519, 10800, 10523, 1215, 1082, 16933, 798, 596, 723, 1631, 286, 6153, 585, 10203, 16933, 692, 268, 272, 16427, 273, 16427, 274, 16427, 275, 16427, 276, 26612, 1403, 1535, 568, 519, 1297, 540, 16933, 267, 649, 1590, 4194, 519, 3830, 1677, 4194, 713, 649, 1590, 6427, 513, 1007, 1826, 540, 1297, 267, 519, 2942, 2338, 1452, 2338, 23491, 3652, 692, 2304, 16494, 9661, 11109, 11827, 519, 2942, 2338, 267, 798, 649, 991, 1022, 811, 286, 1215, 798, 649, 4194, 519, 3830, 18023, 519, 1007, 630, 19960, 2435, 264, 1297, 1775, 13216, 1297, 692, 292, 17526, 1483, 2213, 602, 972, 729, 513, 8748, 3095, 1063, 1950, 2338, 543, 9511, 513, 266, 756, 910, 321, 266, 807, 5564, 28745, 676, 1775, 29226, 519, 546, 14414, 1899, 676, 476, 3445, 5232, 5564, 28745, 676, 29226, 676, 519, 5086, 7464, 22569, 2435, 692, 4517, 1631, 585, 519, 1390, 4090, 2560, 16634, 32027, 621, 782, 1927, 26612, 661, 592, 619, 32263, 4542, 2560, 1772, 513, 10047, 538, 519, 1950, 7077, 692, 4692, 17589, 519, 1267, 1210, 513, 13177, 3126, 692, 3963, 1281, 661, 592, 619, 4542, 2339, 2677, 32606, 1919, 602, 1332, 2677, 32606, 1919, 602, 14251, 622, 10201, 908, 1699, 15571, 4882, 895, 5951, 17747, 7344, 5951, 17142, 692, 2171, 666, 849, 9192, 873, 22263, 3126, 281, 3280, 10282, 619, 267, 11418, 22263, 2981, 281, 12005, 4393, 267, 16358, 2762, 267, 25852, 267, 5365, 2079, 692, 1103, 10390, 661, 592, 619, 32263, 4542, 1770, 525, 782, 540, 6128, 538, 835, 979, 898, 814, 9118, 3156, 547, 2413, 2029, 4024, 972, 2479, 581, 513, 1732, 4542, 2496, 13436, 14245, 0, 763, 31643, 3041, 568, 6462, 676, 519, 1082, 21464, 22881, 547, 519, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 28656, 6858, 275, 7089, 540, 2318, 2474, 540, 519, 21411, 1735, 28325, 14114, 3149, 327, 753, 7288, 4542, 585, 519, 1297, 540, 3044, 3349, 14513, 540, 7729, 342, 3337, 630, 333, 266, 274, 19885, 266, 273, 267, 24222, 272, 19422, 333, 268, 272, 19885, 268, 273, 267, 24222, 272, 1040, 476, 271, 692, 260, 296, 1948, 1240, 7325, 476, 4029, 476, 1708, 271, 476, 1240, 281, 6187, 281, 1556, 692, 260, 306, 476, 272, 267, 272, 267, 276, 267, 4792, 267, 11260, 278, 267, 9262, 272, 3066, 267, 278, 2764, 277, 3583, 280, 267, 280, 4792, 26605, 277, 4792, 267, 4350, 4343, 278, 4037, 277, 271, 3393, 267, 6321, 273, 276, 1626, 14444, 26604, 10463, 10484, 260, 307, 476, 15996, 20969, 9032, 272, 13199, 27149, 4905, 267, 15782, 271, 4375, 28242, 25396, 276, 4029, 8064, 277, 10037, 267, 280, 6924, 271, 4200, 30156, 2568, 278, 275, 4097, 5780, 280, 271, 3607, 276, 10484, 260, 308, 476, 4817, 274, 30033, 25616, 31634, 5038, 277, 3583, 279, 26326, 5881, 275, 276, 267, 6344, 4200, 276, 12010, 6795, 274, 279, 5038, 4649, 273, 5780, 273, 14225, 4200, 275, 6507, 692, 260, 301, 7089, 540, 2318, 2474, 540, 519, 21411 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 781, 3643, 10476, 267, 1141, 3173, 4956, 547, 1265, 856, 1018, 781, 2469, 593, 609, 5672, 12120, 22171, 2713, 972, 269, 5839, 320, 13196, 616, 10995, 2831, 1634, 585, 741, 1279, 21217, 543, 32336, 533, 537, 2583, 1141, 789, 4558, 1426, 269, 2991, 5619, 532, 1585, 2127, 538, 10476, 267, 519, 2319, 4080, 602, 1034, 5672, 320, 13196, 5030, 2282, 7733, 855, 849, 6170, 942, 538, 10651, 267, 11396, 267, 543, 4683, 11614, 269, 1717, 267, 789, 8068, 602, 930, 5672, 12120, 2516, 1185, 7864, 2818, 982, 1354, 269, 1677, 948, 2149, 891, 5863, 7068, 267, 5726, 3646, 1590, 1445, 593, 8497, 1312, 4104, 539, 543, 4683, 2127, 602, 1683, 1898, 2200, 585, 519, 22171, 780, 2026, 596, 666, 1294, 267, 2215, 520, 5505, 630, 27023, 1235, 945, 1353, 28516, 264, 3605, 6266, 540, 3579, 1919, 1247, 2324, 2182, 547, 1174, 543, 2149, 891, 6909, 2831, 269, 5808, 6487, 1018, 11580, 649, 786, 12260, 1985, 607, 649, 3136, 3695, 519, 9159, 7706, 540, 28516, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 5357, 9331, 292, 476, 4366, 715, 9331, 21612, 476, 272, 808, 3198, 308, 14473, 476, 1220, 280, 454, 19530, 762, 630, 14457, 264, 19405, 540, 713, 3390, 454, 9209, 2873, 543, 11872, 454, 5575, 7797, 540, 513, 772, 614, 710, 2274, 328, 3912, 5448, 538, 513, 5871, 631, 1301, 657, 564, 630, 24445, 603, 3700, 795, 659, 577, 639, 2567, 18926, 5530, 4762, 8787, 681, 10846, 540, 1975, 2632, 10389, 3026, 21182, 916, 267, 676, 623, 269, 14339, 337, 6403, 326, 22222, 267, 700, 269, 4469, 2803, 267, 674, 269, 674, 926, 10722, 553, 267, 543, 808, 269, 25234, 12027, 23099, 907, 272, 454, 27751, 540, 19129, 29729, 11780, 540, 519, 5871, 631, 1301, 657, 564, 630, 24445, 603, 3700, 795, 659, 577, 639, 264, 538, 772, 2607, 340, 599, 267, 676, 589, 269, 12096, 629, 337, 3626, 267, 700, 269, 1325, 517, 810, 543, 589, 269, 623, 269, 1488, 2946, 1998, 334, 27401, 275, 454, 763, 6739, 2398, 1493, 3194, 4741, 1107, 589, 18984, 643, 528, 267, 676, 661, 269, 623, 269, 2605, 573, 2006, 543, 667, 269, 631, 269, 14332, 6577, 27401, 277, 454, 27751, 593, 10558, 17392, 543, 21073, 540, 5839, 320, 13196, 538, 10476, 267, 676, 27215, 20550, 327, 12312, 267, 590, 269, 5689, 320, 643, 6359, 527, 333, 1180, 267, 590, 269, 20944, 2129, 267, 6970, 334, 2372, 665, 10222, 267, 715, 7666, 344, 523, 11709, 12017, 267, 2274, 11709, 14208, 836, 267, 2558, 534, 5556, 2558, 836, 267, 543, 962, 269, 8621, 3385, 27401, 1015, 454, 21158, 267, 6176, 267, 543, 7788, 8784, 906, 454, 22033, 10671, 6479, 610, 12232, 27401, 274, 454, 28158, 968, 274, 305, 779, 892, 19534, 282, 594, 4916, 13832, 267, 2859, 21624, 15750, 2572, 454, 25486, 8784, 906, 689, 23549, 23099, 907, 274, 454, 313, 3019, 13960, 281, 6732, 4750, 282, 32020, 8759, 30657, 8291, 454, 288, 2072, 6182, 5896, 281, 10496, 10849, 523, 11094, 13815, 547, 5395, 613, 654, 747, 27401, 276, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1569, 267, 2348, 513, 2631, 540, 8116, 267, 543, 519, 4316, 547, 723, 513, 6209, 7589, 676, 3903, 585, 519, 1367, 609, 9124, 1496, 4792, 454, 4940, 15706, 609, 9124, 949, 581, 7471, 538, 513, 2146, 630, 528, 4928, 264, 855, 711, 13998, 3769, 1496, 6858, 454, 4940, 4935, 267, 649, 2307, 519, 2243, 281, 1018, 568, 519, 3804, 540, 10014, 286, 1403, 519, 3804, 729, 547, 2569, 1514, 588, 25634, 1436, 543, 1450, 2043, 609, 9124, 547, 581, 609, 741, 968, 7538, 892, 9905, 538, 519, 1482, 4928, 267, 922, 6662, 814, 1044, 1558, 269, 1717, 267, 952, 519, 3804, 568, 9698, 543, 2298, 2069, 585, 782, 2043, 267, 2436, 609, 9124, 610, 711, 267, 1287, 621, 1522, 711, 581, 8345, 1496, 6924, 454, 2026, 713, 1957, 12958, 811, 2055, 982, 4267, 267, 649, 979, 1394, 547, 519, 2055, 649, 4280, 693, 519, 4098, 540, 713, 1957, 269, 1403, 519, 3804, 540, 2069, 568, 547, 5352, 1702, 585, 519, 1732, 618, 543, 10304, 540, 782, 2043, 267, 814, 621, 6913, 922, 6859, 585, 2043, 609, 9124, 286, 1403, 649, 616, 547, 1413, 693, 519, 1699, 3510, 1471, 268, 14504, 23724, 519, 2250, 3510, 1210, 519, 4661, 602, 519, 1699, 2853, 616, 811, 538, 1899, 609, 1514, 5126, 543, 1480, 2924, 267, 1287, 621, 1522, 3100, 602, 10014, 814, 6913, 922, 6662, 269, 1717, 267, 952, 649, 616, 547, 1413, 693, 519, 4890, 2833, 540, 2043, 609, 9124, 543, 2027, 2069, 3610, 607, 2938, 538, 930, 2090, 630, 324, 3052, 1421, 1496, 7871, 454, 25818, 1287, 10014, 814, 711, 2943, 6913, 922, 6662, 269, 1284, 1419, 9228, 4720, 543, 1646, 607, 513, 3551, 25047, 13826, 602, 4422, 16057, 269, 898, 949, 581, 2009, 602, 519, 4720, 540, 2027, 2069, 543, 10014, 568, 711, 5276, 543, 1646, 568, 31278, 1496, 277, 454, 4940, 898, 949, 849, 581, 602, 649, 616, 3168, 693, 1114, 3344, 950, 10442, 10014, 282, 8754, 267, 519, 21016, 5477, 2963, 540, 7145, 540, 10014, 269, 1306, 971, 267, 2348, 513, 19618, 3044, 543, 4214, 540, 10014, 543, 782, 922, 3334, 568, 7533, 563, 2690, 519, 2034, 2243, 267, 568, 10014, 538, 519, 1719, 540, 782, 2043, 267, 2436, 609, 513, 9659, 610, 711, 286, 2423, 17067, 538, 519, 1957, 267, 649, 5018, 13852, 779, 1719, 19427, 3069, 538, 7234, 10014, 267, 543, 1210, 621, 949, 581, 519, 1034, 3617, 1259, 547, 16253, 547, 713, 2243, 269, 9122, 593, 3140, 5380, 267, 10014, 568, 585, 519, 4690, 540, 782, 1004, 267, 2436, 789, 723, 513, 9659, 610, 711, 282, 2705, 267, 621, 949, 581, 547, 519, 5413, 540, 968, 7538, 892, 1004, 269, 23883, 952, 1004, 1226, 622, 9659, 547, 21341, 267, 1287, 968, 7538, 1944, 892, 2043, 609, 9124, 1797, 1163, 2056, 1447, 4199, 585, 741, 2115, 269, 4935, 267, 10014, 568, 538, 519, 4690, 540, 2043, 609, 9124, 543, 519, 5354, 540, 519, 2486, 269, 634, 2360, 540, 10014, 593, 782, 2043, 267, 2705, 267, 568, 513, 1114, 4901, 15587, 563, 1103, 2424, 568, 711, 519, 10278, 282, 621, 568, 519, 3460, 269, 898, 568, 711, 513, 5276, 6963, 3350, 602, 729, 2838, 676, 513, 1857, 1876, 267, 3079, 621, 568, 606, 31278, 267, 15491, 4720, 1184, 607, 1153, 1949, 723, 547, 3082, 547, 519, 4657, 2115, 540, 6267, 1496, 280, 454, 4940, 634, 1699, 10014, 3510, 538, 938, 3506, 568, 711, 4998, 543, 972, 568, 4055, 585, 6454, 269, 3778, 814, 6038, 8032, 543, 6766, 4207, 24866, 543, 2259, 538, 2027, 2069, 1496, 277, 454, 3910, 3976, 267, 621, 568, 1898, 602, 8639, 540, 2027, 2069, 1058, 723, 811, 538, 3829, 1702, 593, 519, 1686, 540, 2027, 2069, 1496, 279, 454, 4940, 9122, 593, 519, 3140, 5380, 543, 1883, 21437, 538, 2027, 2069, 649, 5941, 538, 713, 1957, 267, 649, 723, 519, 1739, 7840, 563, 5575, 267, 972, 1058, 581, 3140, 4656, 543, 5806, 514, 894, 2702, 1851, 9439, 950, 621, 2501, 547, 2500, 2853, 543, 875, 519, 1935, 568, 538, 1899, 609, 1514, 5126, 543, 1480, 2924, 269, 9861, 3222, 540, 3140, 2621, 543, 5380, 5512, 9439, 547, 581, 14436, 540, 741, 2259, 543, 2087, 538, 741, 2361, 563, 13553, 267, 972, 1058, 581, 8223, 543, 4656, 540, 519, 2027, 2069, 4031, 676, 782, 8639, 269, 12140, 267, 3610, 267, 3028, 7426, 267, 543, 3237, 1058, 723, 606, 538, 3829, 1702, 540, 519, 14074, 540, 519, 2069, 4031, 269, 9861, 5432, 609, 519, 1876, 6087, 873, 547, 581, 3222, 540, 741, 1378, 2924, 543, 9021, 543, 1346, 540, 519, 2043, 609, 9124, 789, 616, 14957, 585, 563, 23612, 267, 972, 1058, 581, 513, 3152, 11007, 538, 10747, 10014, 4441, 267, 700, 3918, 267, 4441, 540, 2298, 594, 7968, 543, 1569, 547, 2489, 2069, 269, 2290, 2101, 3390, 602, 729, 4547, 909, 538, 713, 1957, 568, 519, 22394, 4214, 540, 2035, 543, 2165, 514, 3098, 602, 8507, 538, 1114, 12496, 540, 8639, 269, 769, 1931, 547, 723, 606, 2500, 10014, 1982, 267, 513, 18487, 3044, 1058, 581, 3964, 269, 1306, 540, 1631, 267, 972, 616, 1100, 4441, 267, 3976, 267, 3025, 814, 741, 1378, 12496, 282, 713, 2164, 538, 606, 23696, 2027, 2069, 543, 10014, 1982, 563, 19177, 628, 267, 972, 1058, 581, 811, 1382, 5342, 547, 5531, 4890, 1239, 593, 1312, 1514, 543, 4081, 7145, 540, 10014, 547, 1312, 1053, 609, 9124, 543, 1346, 1510, 269, 898, 729, 5018, 14578, 2429, 519, 1957, 676, 519, 3105, 3332, 602, 972, 729, 1100, 598, 5477, 1344, 593, 519, 7145, 540, 2407, 10014, 1496, 1015, 454, 4940, 4107, 540, 519, 4574, 2944, 941, 7811, 543, 10952, 269, 1703, 616, 1906, 12170, 2090, 3168, 693, 10014, 267, 543, 972, 568, 1100, 598, 5477, 2963, 593, 519, 19976, 1239, 593, 519, 7145, 540, 2407, 10014, 269, 1717, 267, 621, 1131, 581, 811, 6225, 547, 519, 7855, 543, 3028, 7426, 952, 972, 941, 811, 2090, 593, 519, 1514, 543, 4081, 7145, 540, 10014, 593, 711, 1152, 1053, 609, 9124, 267, 855, 849, 741, 2834, 9905, 269, 2991, 782, 267, 10014, 568, 3246, 12581, 3255, 547, 782, 1053, 563, 15563, 267, 972, 1058, 581, 21769, 1851, 2818, 540, 519, 594, 7968, 2319, 267, 1034, 2523, 2027, 2069, 543, 2489, 2069, 3610, 269, 634, 1079, 6887, 540, 3610, 1590, 960, 5702, 547, 1118, 2386, 602, 1018, 789, 616, 3257, 1264, 906, 610, 9360, 519, 824, 779, 3646, 269, 8033, 8462, 543, 11007, 616, 1271, 538, 1565, 267, 543, 713, 666, 581, 6913, 998, 5698, 1851, 3610, 269, 1703, 1058, 849, 581, 513, 5698, 1851, 1585, 8639, 540, 2027, 2069, 1519, 267, 14519, 267, 15156, 267, 3237, 267, 3610, 267, 3028, 7426, 267, 543, 952, 2009, 2043, 609, 9124, 2933, 267, 2523, 950, 26004, 2069, 4507, 585, 2027, 2069, 269, 634, 4031, 941, 2813, 609, 2048, 16591, 685, 15752, 267, 855, 616, 519, 4031, 585, 519, 4690, 540, 2043, 609, 9124, 286, 2311, 519, 1439, 540, 519, 1554, 267, 519, 2243, 568, 267, 4171, 4690, 616, 519, 3506, 543, 519, 10470, 7674, 950, 789, 6430, 789, 1616, 547, 1747, 606, 1367, 609, 9124, 538, 519, 13416, 4928, 286, 898, 568, 513, 2243, 1152, 942, 666, 5963, 2626, 543, 1686, 666, 9794, 269, 0, 4002, 4728, 476, 1556, 267, 476, 8146, 277, 267, 29583, 269, 21862, 839, 570, 269, 28224, 9896, 519, 24104, 1222, 2920, 267, 896, 799, 476, 277, 28902, 4009, 6810, 540, 2244, 602, 1185, 1044, 30431, 730, 676, 519, 2136, 2276, 5619, 832, 941, 6896, 883, 2797, 4559, 269, 901, 1482, 4990, 540, 968, 1723, 10869, 10315, 2389, 12495, 1222, 892, 1062, 729, 7550, 676, 824, 2829, 267, 855, 12309, 814, 3622, 1044, 2808, 519, 10747, 1383, 563, 13126, 281, 3778, 1107, 1684, 1411, 5700, 454, 5415, 827, 24104, 4721, 538, 12309, 21806, 540, 519, 12309, 24104, 1222, 5948, 563, 8340, 513, 24104, 1222, 21806, 540, 519, 12309, 24104, 1222, 5948, 2488, 513, 4786, 543, 3346, 1344, 585, 1022, 10034, 1222, 538, 12309, 269, 4578, 3177, 585, 1142, 10034, 1222, 1331, 11221, 8387, 267, 2232, 543, 3346, 1344, 267, 631, 14011, 5619, 543, 772, 2529, 269, 17227, 1239, 269, 6176, 593, 11221, 8387, 568, 8242, 593, 513, 3232, 4493, 563, 18550, 476, 1556, 267, 476, 5908, 272, 454, 1103, 519, 476, 7277, 271, 338, 7366, 540, 1004, 1166, 18088, 547, 519, 3223, 1048, 1177, 18686, 2443, 513, 28795, 267, 27726, 31732, 4288, 795, 583, 1154, 24239, 5195, 883, 8235, 32493, 269, 1358, 3357, 585, 7601, 269, 8109, 9520, 267, 1179, 22399, 267, 7045, 3464, 543, 19379, 3460, 539, 547, 519, 9678, 3148, 540, 519, 7262, 16592, 18686, 538, 1018, 2968, 519, 4182, 779, 1101, 7777, 19060, 269, 634, 7601, 19060, 3366, 547, 519, 3919, 540, 3223, 1048, 1177, 6019, 282, 26267, 5211, 729, 6074, 519, 10315, 10160, 563, 13126, 2433, 12309, 568, 29055, 563, 4002, 3057, 269, 476, 1556, 267, 476, 4489, 273, 267, 29583, 269, 932, 848, 14642, 9799, 4280, 606, 968, 2169, 571, 867, 2435, 8400, 892, 540, 519, 12309, 22694, 1155, 547, 1780, 9086, 547, 7979, 1177, 1786, 4546, 625, 689, 26539, 513, 2892, 3019, 267, 540, 799, 972, 941, 476, 275, 267, 3607, 277, 538, 12309, 693, 519, 942, 269, 1261, 6059, 602, 1079, 22188, 540, 519, 2892, 9398, 538, 24354, 543, 811, 982, 3368, 540, 1346, 538, 519, 1533, 941, 1786, 342, 2044, 24804, 563, 11675, 9799, 1572, 519, 968, 1410, 947, 633, 946, 540, 4568, 892, 513, 968, 2017, 572, 267, 543, 835, 540, 519, 1178, 4034, 12178, 602, 13720, 18495, 892, 543, 602, 2892, 9398, 968, 2254, 528, 13124, 30380, 543, 1876, 1652, 892, 1058, 711, 2291, 563, 29467, 616, 1346, 945, 8044, 543, 25442, 569, 3494, 602, 519, 2892, 3019, 568, 519, 4057, 812, 779, 8630, 2223, 14642, 9799, 5206, 269, 968, 3719, 789, 723, 1100, 8878, 585, 519, 642, 850, 2892, 3019, 799, 568, 513, 4999, 575, 5766, 3333, 641, 267, 3954, 540, 14382, 3191, 267, 18992, 540, 3775, 1499, 543, 513, 13989, 22946, 3034, 13126, 281, 14642, 9799, 779, 2027, 5048, 607, 2895, 1882, 676, 519, 2160, 540, 12309, 543, 7857, 1242, 676, 5616, 563, 288, 7981, 24606, 540, 17135, 932, 848, 590, 269, 14642, 9799, 547, 519, 10783, 344, 29350, 628, 22694, 1155, 2560, 1635, 932, 848, 20363, 14642, 9799, 454, 18550, 476, 1556, 268, 1691, 267, 476, 3192, 271, 454, 20124, 540, 17546, 24493, 593, 519, 5113, 693, 519, 2160, 540, 12309, 538, 476, 3192, 271, 563, 6524, 519, 4950, 267, 835, 540, 519, 1292, 2081, 547, 20834, 1125, 1857, 6644, 593, 3786, 4926, 729, 547, 723, 4001, 15564, 269, 634, 2160, 540, 12309, 10660, 1229, 519, 1259, 1394, 538, 476, 3422, 276, 609, 519, 1101, 4001, 2987, 1996, 519, 10476, 2782, 269, 1809, 789, 1131, 979, 593, 547, 723, 1082, 811, 4001, 15564, 593, 824, 3584, 607, 1134, 267, 1519, 519, 1604, 563, 763, 2825, 3350, 1185, 3144, 3597, 607, 2484, 1394, 607, 519, 13524, 2540, 267, 855, 621, 7012, 1406, 2394, 519, 1647, 540, 519, 14206, 602, 621, 5963, 3459, 547, 8768, 269, 7025, 4656, 3710, 7444, 855, 20406, 2429, 519, 6957, 2906, 543, 13683, 625, 267, 543, 1287, 782, 693, 2899, 1011, 10757, 538, 476, 3422, 280, 1739, 513, 3126, 540, 1164, 3491, 12803, 2825, 12469, 1107, 513, 5458, 3282, 21383, 1055, 519, 5032, 540, 13244, 22526, 267, 8235, 661, 4471, 1373, 29064, 968, 1372, 611, 2223, 543, 11882, 779, 595, 8500, 1695, 7541, 5211, 20414, 3595, 630, 28785, 1070, 1851, 1866, 269, 8278, 5505, 945, 1185, 585, 1296, 1044, 8165, 547, 1205, 741, 4145, 827, 519, 1604, 883, 519, 3084, 30425, 10393, 1336, 741, 9739, 1373, 4862, 563, 3080, 540, 519, 1034, 3532, 540, 1346, 9739, 729, 602, 540, 772, 2529, 269, 27737, 22985, 331, 867, 20307, 540, 16855, 269, 769, 5181, 476, 3422, 280, 20307, 9307, 1010, 2856, 585, 513, 18487, 13889, 1996, 519, 12159, 540, 519, 1604, 269, 11374, 519, 1291, 540, 519, 4550, 21351, 3350, 267, 646, 6069, 513, 7372, 3126, 540, 4001, 15564, 547, 1491, 1747, 593, 2852, 3786, 4926, 519, 1739, 5614, 267, 5497, 547, 1118, 4892, 811, 3222, 540, 519, 14686, 3978, 1145, 540, 519, 21318, 540, 6937, 1287, 6849, 519, 1604, 269, 630, 763, 5354, 540, 799, 267, 8909, 547, 2161, 267, 616, 1869, 609, 721, 5176, 17288, 1296, 2663, 8094, 25938, 1807, 22985, 331, 867, 20307, 540, 16855, 729, 15691, 547, 5000, 12621, 543, 6280, 2066, 519, 2197, 547, 20834, 1125, 585, 519, 5113, 593, 4989, 476, 2420, 267, 476, 3192, 271, 630, 331, 831 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 275, 2101, 1114, 2010, 540, 20716, 2283, 539, 9623, 1031, 547, 2638, 14147, 18625, 267, 676, 1797, 540, 1880, 1806, 11744, 6198, 3252, 540, 1114, 4294, 9443, 1373, 5018, 269, 5583, 585, 7446, 519, 1292, 11807, 9300, 585, 1808, 5301, 616, 13859, 267, 1927, 609, 606, 5758, 540, 519, 1259, 547, 1118, 946, 540, 11397, 15392, 5013, 607, 606, 3608, 6293, 538, 2029, 543, 7245, 269, 634, 21849, 1543, 568, 3638, 569, 11609, 609, 1806, 540, 1169, 15392, 6791, 8246, 547, 1585, 2564, 267, 9477, 543, 7245, 2055, 538, 18625, 782, 936, 519, 1158, 269, 1306, 971, 267, 519, 8313, 568, 4922, 2139, 547, 513, 1455, 13588, 267, 538, 1840, 547, 5640, 267, 9946, 267, 11397, 15392, 4966, 543, 606, 1367, 3116, 5665, 609, 14147, 11818, 8134, 563, 5649, 610, 8281, 4856, 531, 24035, 22647, 11576, 532, 281, 589, 6651, 585, 29570, 267, 16424, 543, 5004, 7300, 454, 13436, 14498, 2835, 454, 763, 1034, 3483, 540, 713, 552, 26247, 568, 547, 29289, 7418, 689, 7350, 267, 5042, 2029, 267, 543, 519, 6575, 585, 513, 4745, 3408, 540, 513, 1906, 540, 519, 1034, 2413, 18765, 6849, 519, 1702, 540, 8129, 538, 1272, 31599, 785, 543, 2486, 269, 634, 13214, 540, 4358, 1747, 568, 538, 29323, 762, 689, 606, 4950, 540, 19165, 602, 2901, 1106, 543, 12172, 721, 563, 1805, 6324, 344, 24236, 5223, 7160, 538, 3328, 3889, 10525, 519, 6384, 540, 3047, 3889, 5773, 543, 791, 11301, 24236, 10297, 547, 3047, 17234, 269, 12539, 24236, 12753, 540, 11626, 2910, 273, 1592, 4123, 540, 3327, 1851, 519, 1979, 14459, 543, 519, 5605, 1466, 282, 519, 5140, 15143, 540, 4955, 7992, 16313, 338, 568, 13006, 676, 1797, 540, 7250, 24745, 540, 741, 12209, 282, 543, 1216, 16621, 606, 13666, 8084, 24920, 540, 922, 4199, 543, 6561, 1317, 621, 21986, 525, 519, 5605, 1466, 543, 2244, 6989, 563, 1607, 8242, 7650, 12116, 1883, 2694, 540, 3662, 7180, 267, 1927, 609, 6643, 267, 17133, 267, 32692, 267, 9316, 267, 4638, 3903, 543, 24040, 7160, 269, 513, 3099, 540, 11400, 616, 20898, 267, 1927, 609, 4195, 12170, 1806, 563, 3725, 842, 3174, 540, 12551, 543, 18508, 543, 21426, 7377, 2827, 3091, 513, 31544, 1900, 676, 1900, 25129, 547, 3927, 1818, 4566, 267, 25412, 267, 543, 9236, 519, 556, 652, 28344, 618, 540, 3662, 5095, 538, 5449, 9249, 610, 741, 4417, 538, 1007, 5054, 269, 769, 1142, 835, 28153, 267, 12665, 538, 32543, 3174, 7350, 5581, 513, 8737, 10282, 540, 4099, 2553, 267, 6927, 267, 4555, 267, 543, 5784, 563, 268, 20767, 9323, 2552, 8727, 543, 12655, 3816, 27467, 454, 268, 8693, 7827, 543, 10572, 26930, 281, 10837, 267, 26874, 2598, 1263, 1771, 543, 519, 7763, 643, 1049, 29361, 454, 268, 13149, 26085, 540, 22728, 28573, 267, 6239, 3013, 281, 476, 10436, 630, 12507, 1748, 23706, 4437, 11043, 2801, 994, 268, 14171, 14351, 540, 7186, 454, 15761, 571, 9623, 585, 4856, 531, 24035, 22647, 11576, 532, 281, 589, 6651, 585, 29570, 267, 16424, 543, 5004, 0, 2562, 2038, 476, 1220, 278, 267, 972, 941, 1152, 476, 2004, 267, 1822, 5985, 15146, 3755, 538, 14466, 7699, 1715, 19892, 267, 513, 4182, 540, 3670, 2929, 1004, 267, 543, 519, 1482, 1297, 540, 2244, 6050, 269, 589, 6049, 729, 513, 3090, 540, 1362, 269, 8307, 519, 16918, 2443, 14761, 267, 9972, 17531, 13062, 1846, 543, 1870, 15161, 2443, 1223, 6488, 519, 3946, 1115, 543, 1289, 10997, 563, 2467, 616, 1631, 811, 982, 835, 2929, 5985, 3755, 538, 519, 5449, 8241, 8513, 267, 543, 623, 7582, 568, 1373, 9927, 267, 606, 1995, 9648, 538, 930, 824, 3384, 2477, 1932, 269, 7201, 519, 3105, 267, 29723, 1173, 545, 2229, 26771, 540, 645, 16353, 267, 6049, 3755, 1223, 1118, 15072, 344, 7125, 1063, 2947, 1292, 4683, 18013, 538, 513, 2197, 1141, 476, 3445, 829, 1298, 540, 519, 2551, 1869, 2729, 538, 6917, 2127, 563, 5415, 693, 634, 8241, 0, 1692, 20563, 1955, 5099, 4706, 8836, 3397, 12629, 2201, 634, 10163, 2986, 2974, 454, 20464, 476, 272, 560, 267, 476, 1708, 272, 1923, 918, 310, 454, 6524, 476, 3422, 279, 267, 4516, 1185, 6305, 26110, 688, 4979, 689, 25429, 32108, 267, 31671, 20899, 543, 32527, 520, 3832, 9774, 269, 2201, 519, 2627, 713, 5654, 899, 513, 3309, 6041, 540, 5718, 585, 519, 2197, 269, 1280, 519, 2250, 476, 7367, 1296, 267, 2705, 267, 972, 814, 1044, 513, 9490, 2797, 31096, 1141, 519, 6205, 540, 519, 27565, 9549, 9060, 2933, 2901, 8204, 610, 2348, 1044, 4535, 538, 20563, 543, 267, 13604, 267, 1373, 20366, 538, 607, 6305, 14012, 269, 898, 4667, 602, 4516, 781, 25931, 1062, 814, 519, 26516, 12343, 540, 13359, 538, 6305, 26110, 3592, 14311, 689, 20563, 269, 2311, 2547, 267, 621, 814, 8604, 865, 538, 519, 2250, 476, 276, 5756, 563, 28657, 568, 513, 1804, 2197, 1500, 909, 540, 1896, 4525, 543, 1082, 1114, 2516, 540, 2043, 269, 4256, 2115, 616, 607, 3309, 607, 972, 616, 2477, 543, 4529, 538, 519, 1158, 269, 898, 568, 19035, 1287, 602, 519, 2250, 3670, 630, 3467, 982, 835, 2165, 270, 20204, 264, 6305, 26110, 865, 4755, 547, 782, 581, 689, 20563, 269, 17610, 569, 713, 666, 1406, 581, 513, 14626, 2064, 269, 1215, 568, 621, 602, 513, 11662, 899, 20563, 267, 799, 568, 513, 2189, 2486, 267, 666, 20818, 741, 2686, 16786, 593, 519, 2898, 540, 4516, 888, 3963, 616, 5313, 6608, 16550, 3943, 593, 519, 2898, 2551, 950, 519, 3003, 4182, 13408, 1447, 982, 476, 1839, 260, 540, 3943, 10529, 630, 5976, 1447, 602, 476, 276, 260, 3943, 10529, 538, 1034, 16899, 21663, 1215, 666, 519, 4690, 540, 519, 4639, 581, 5265, 9619, 676, 922, 21621, 10779, 2456, 888, 2005, 779, 7805, 602, 20563, 814, 606, 15490, 5413, 538, 938, 12044, 1062, 267, 799, 568, 1759, 593, 2025, 267, 1447, 4143, 10850, 282, 3850, 621, 547, 4324, 689, 4516, 1247, 1373, 513, 723, 27677, 11662, 543, 513, 1480, 2924, 3423, 1807, 693, 519, 1482, 942, 269, 898, 949, 1413, 21016, 2425, 1113, 267, 855, 519, 1483, 10419, 21116, 547, 4516, 779, 8670, 1301, 3415, 616, 14411, 543, 20563, 779, 2671, 540, 16295, 538, 14618, 267, 519, 3943, 1893, 607, 513, 16601, 9872, 267, 543, 20563, 779, 1202, 14571, 593, 1373, 513, 3982, 2486, 538, 4516, 543, 3478, 2027, 22864, 585, 621, 563, 13706, 519, 1739, 912, 22461, 769, 476, 5908, 278, 267, 20563, 6368, 8678, 4516, 896, 519, 23616, 1637, 602, 922, 2189, 2486, 1131, 581, 6870, 998, 606, 968, 817, 3293, 892, 25931, 5354, 269, 901, 1131, 1450, 873, 693, 2547, 547, 3313, 741, 1378, 22038, 607, 513, 11662, 267, 4758, 873, 519, 2034, 1034, 16295, 538, 14618, 547, 3094, 563, 22461, 3943, 729, 1500, 606, 4013, 1893, 538, 476, 3422, 280, 543, 851, 540, 25931, 1893, 1282, 519, 5137, 540, 519, 9139, 2920, 269, 901, 1500, 6340, 3943, 18374, 513, 32563, 585, 1022, 5718, 11134, 267, 610, 585, 338, 820, 513, 10116, 540, 519, 8225, 2551, 563, 1607, 568, 519, 3501, 11600, 547, 2285, 20563, 543, 14411, 796, 8455, 1194, 1852, 936, 519, 3084, 16786, 269, 589, 15626, 543, 11541, 3804, 540, 5329, 513, 3982, 2486, 781, 2528, 1131, 1267, 538, 606, 15490, 11347, 4308, 585, 519, 1964, 540, 4516, 267, 3226, 519, 5375, 16899, 563, 4462, 325, 1515, 11572, 21478, 454, 4407, 4758, 20563, 891, 2640, 547, 6443, 513, 3395, 4516, 630, 528, 1981, 621, 607, 606, 10546, 1070, 2221, 891, 3527, 21279, 711, 1152, 8225, 1476, 25005, 2329, 543, 9322, 267, 855, 789, 15490, 569, 9260, 519, 10253, 540, 11180, 1379, 543, 6041, 538, 519, 12797, 540, 20563, 543, 14411, 269, 2311, 513, 2656, 16145, 693, 519, 25931, 10160, 3892, 2066, 519, 16899, 267, 649, 666, 3313, 602, 16295, 941, 7856, 676, 2551, 2450, 269, 22628, 607, 14411, 543, 20563, 941, 630, 663, 1869, 616, 264, 519, 1079, 4102, 16899, 676, 2551, 267, 789, 616, 1100, 3476, 519, 6852, 2804, 9817, 602, 5397, 519, 8225, 4346, 563, 263, 14835, 5170, 1310, 18537, 994, 15987, 267, 607, 824, 16899, 8678, 267, 519, 16295, 941, 711, 18113, 23799, 30744, 269, 589, 476, 1220, 277, 14829, 1131, 1711, 3606, 16295, 2687, 547, 2551, 2450, 538, 1142, 11662, 269, 5272, 11662, 6591, 16295, 267, 2943, 621, 729, 1175, 513, 18440, 5346, 540, 1379, 676, 14411, 543, 20563, 267, 945, 6591, 519, 4102, 1297, 540, 16295, 563, 1607, 568, 513, 8909, 20185, 585, 519, 5375, 16899, 269, 1358, 8678, 513, 4182, 1141, 267, 676, 9949, 267, 789, 786, 2760, 1852, 519, 8225, 16786, 267, 543, 4061, 786, 6560, 547, 723, 31747, 957, 593, 2152, 543, 4507, 799, 1860, 519, 5375, 16899, 269, 2334, 568, 267, 8259, 782, 5375, 16899, 26595, 896, 835, 5428, 563, 9213, 779, 4516, 5654, 1522, 1176, 1114, 982, 519, 4516, 540, 519, 2038, 543, 4571, 476, 736, 628, 11416, 267, 607, 1705, 741, 5095, 543, 2804, 10256, 563, 1692, 568, 621, 602, 22598, 267, 609, 513, 4130, 2551, 982, 14411, 543, 20563, 267, 799, 814, 1185, 630, 2863, 559, 5063, 264, 519, 1034, 3532, 4346, 602, 13455, 519, 723, 27677, 16899, 540, 4516, 585, 5756, 267, 1519, 20563, 267, 723, 1447, 2797, 3310, 982, 20563, 543, 14411, 286, 634, 811, 2055, 649, 2307, 827, 519, 14619, 540, 938, 25931, 6041, 267, 519, 811, 649, 1451, 602, 519, 16295, 941, 21248, 547, 1016, 16746, 519, 3310, 540, 5375, 4516, 563, 10214, 952, 519, 5375, 16899, 8087, 896, 513, 5428, 796, 29434, 3585, 267, 789, 1131, 1869, 711, 581, 2111, 547, 936, 20183, 14411, 610, 20563, 267, 2901, 1927, 610, 4805, 269, 1215, 666, 519, 4639, 3251, 538, 1476, 25005, 2329, 950, 789, 616, 1419, 2016, 519, 2110, 1439, 540, 519, 6529, 543, 609, 1100, 973, 6847, 547, 2479, 581, 2111, 547, 1852, 519, 3084, 16786, 286, 9701, 972, 581, 2551, 514, 1417, 1161, 547, 2333, 519, 2551, 538, 519, 4639, 286, 1215, 1279, 1131, 621, 1491, 543, 1131, 824, 16899, 20006, 2147, 7341, 286, 2107, 1058, 519, 25931, 10160, 1062, 581, 1759, 593, 2804, 7607, 888, 27745, 713, 581, 4023, 888, 32381, 540, 519, 2009, 3070, 267, 519, 1249, 3788, 2312, 547, 3025, 2713, 538, 7262, 16899, 281, 1306, 1279, 607, 14411, 543, 20563, 723, 513, 32469, 540, 519, 16295, 267, 519, 1964, 540, 4516, 786, 267, 676, 9949, 267, 581, 12199, 676, 1346, 1079, 16899, 543, 666, 3136, 547, 2503, 6305, 26110, 547, 2097, 6140, 689, 20563, 563, 28657, 1772, 18320, 8262, 1677, 2142, 681, 27968, 1133, 325, 1515, 569, 454, 1103, 1686, 267, 1804, 2220, 23411, 540, 2244, 723, 1044, 711, 528, 13124, 2352, 547, 1827, 269, 6875, 634, 4936, 7276, 267, 519, 10513, 4936, 7276, 267, 519, 3703, 7276, 267, 519, 27245, 1014, 7276, 267, 3092, 2507, 585, 1383, 269, 2353, 1804, 23693, 267, 17364, 2789, 2477, 543, 11182, 267, 782, 8593, 1813, 547, 3668, 540, 1697, 10350, 563, 2005, 779, 4230, 15929, 602, 6576, 267, 519, 4102, 2244, 21346, 538, 519, 1158, 568, 1869, 267, 5266, 267, 538, 835, 4062, 563, 15987, 519, 4806, 568, 2312, 267, 621, 781, 2182, 267, 1256, 609, 2413, 2029, 267, 547, 4300, 848, 519, 13999, 540, 513, 2197, 950, 972, 568, 1100, 1797, 540, 2921, 1852, 610, 12018, 519, 3084, 16786, 269, 4516, 814, 513, 2603, 540, 2042, 14495, 18284, 922, 12560, 1647, 11665, 2627, 269, 634, 5821, 540, 4516, 781, 1476, 25005, 2329, 1223, 581, 513, 4641, 952, 519, 3818, 2000, 599, 1229, 6528, 640, 568, 711, 9619, 998, 3527, 267, 543, 609, 811, 982, 1175, 513, 3723, 16694, 610, 13946, 520, 538, 513, 17599, 4633, 563, 18600, 9237, 543, 9157, 5717, 543, 3664, 1590, 581, 1500, 547, 948, 713, 2197, 3251, 8087, 538, 519, 476, 2641, 560, 11416, 269, 6524, 5046, 476, 866, 267, 649, 4718, 3140, 2797, 543, 1514, 19727, 538, 519, 2197, 609, 2101, 1102, 2858, 23461, 1373, 17808, 676, 3689, 8315, 17600, 543, 1514, 5126, 15628, 563, 4692, 21808, 723, 2760, 5433, 811, 693, 519, 23502, 540, 519, 2229, 982, 1022, 824, 942, 538, 2487, 5756, 543, 835, 1259, 547, 1118, 2386, 519, 10480, 3130, 13978, 4300, 1078, 568, 547, 2709, 3703, 12052, 267, 22598, 543, 32527, 520, 3832, 9774, 513, 4023, 4960, 693, 6117, 519, 3084, 16786, 269, 3143, 3148, 1058, 723, 1729, 26595, 4625, 547, 723, 741, 4145, 9619, 269, 898, 779, 3810, 7543, 513, 9028, 547, 3035, 2336, 24679, 779, 7805, 602, 20563, 814, 606, 15490, 5413, 538, 938, 12044, 1062, 267, 799, 568, 1759, 593, 2025, 267, 1447, 4143, 10850, 4799, 19675, 1358, 13773, 2107, 9701, 1358, 3619, 888, 2467, 616 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 476, 6078, 269, 7918, 4846, 883, 7273, 1210, 476, 6078, 269, 7918, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 6078, 269, 7918, 607, 606, 2179, 540, 13532, 269, 901, 568, 519, 6364, 281, 476, 6078, 269, 7918, 11304, 815, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 6550, 780, 2026, 596, 666, 1294, 267, 713, 476, 6078, 269, 7918, 4846, 5288, 7273, 20303, 568, 2653, 547, 946, 780, 3086, 649, 616, 2469, 547, 938, 3119, 3390, 910, 875, 547, 6460, 476, 6078, 269, 7918, 13532, 547, 6550, 593, 707, 1378, 780, 2971, 476, 6078, 269, 7918, 4846, 547, 7273, 7503, 692, 2171, 786, 1376, 476, 6078, 269, 7918, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4542, 547, 1205, 519, 1034, 2953, 1267, 269, 589, 2656, 12576, 540, 513, 4542, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 519, 1267, 538, 6550, 692, 3383, 1018, 991, 596, 798, 547, 917, 875, 1082, 6550, 3160, 547, 476, 6078, 269, 7918, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 538, 713, 2013, 476, 6078, 269, 7918, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 269, 1924, 476, 6078, 269, 7918, 11304, 568, 4010, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 780, 2005, 568, 849, 2009, 547, 5180, 621, 1055, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 898, 568, 4010, 476, 273, 269, 736, 269, 1924, 476, 6078, 269, 7918, 11304, 815, 476, 11011, 269, 4343, 279, 271, 6550, 780, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 6460, 476, 6078, 269, 7918, 4846, 4154, 538, 6550, 269, 1924, 476, 6078, 269, 7918, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 6078, 269, 7918, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 3947, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 269, 1924, 6697, 540, 476, 6078, 269, 7918, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 4010, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 780, 1103, 713, 2013, 596, 666, 849, 5180, 1055, 519, 1267, 269, 898, 568, 519, 1267, 1310, 24263, 1055, 267, 538, 713, 2013, 547, 835, 8918, 1747, 910, 476, 6078, 269, 7918, 11304, 476, 11011, 269, 4343, 279, 6550, 780, 3086, 1577, 779, 1847, 593, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 780, 2971, 1215, 1082, 476, 6078, 269, 7918, 4846, 547, 7273, 692, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 11011, 269, 4343, 279, 519, 6364, 538, 6550, 692, 3383, 476, 6078, 269, 7918, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 723, 547, 9062, 1297, 540, 11304, 267, 538, 713, 2013, 476, 6078, 269, 7918, 267, 676, 476, 273, 269, 273, 269, 6423, 281, 476, 6078, 269, 7918, 2608, 476, 273, 269, 273, 815, 476, 11011, 269, 4343, 279, 269, 1924, 476, 6078, 269, 7918, 11304, 568, 476, 273, 269, 273, 6550, 780, 2710, 1776, 9819, 1210, 713, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 1383, 267, 476, 6078, 269, 7918, 4846, 547, 7273, 2597, 540, 22229, 780, 3383, 6460, 910, 476, 6078, 269, 7918, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 11011, 269, 4343, 279, 6550, 540, 22229, 269, 1924, 476, 6078, 269, 7918, 4846, 547, 11013, 2527, 568, 476, 11011, 269, 4343, 279, 780, 2252, 596, 917, 875, 1454, 568, 476, 6078, 269, 7918, 11304, 2597, 538, 6550, 543, 666, 6460, 621, 1210, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 616, 2469, 547, 1397, 596, 891, 4093, 538, 12125, 780, 2971, 22417, 476, 6078, 269, 7918, 11304, 547, 6550, 692, 2171, 616, 3222, 602, 2164, 3254, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 7515, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3533, 1118, 513, 6476, 476, 6078, 269, 7918, 4846, 6697, 547, 7273, 4093, 780, 4131, 779, 2253, 609, 513, 476, 6078, 269, 7918, 4846, 11224, 7273, 3349, 585, 519, 1101, 4542, 1384, 298, 559, 9999, 623, 2432, 623, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 994, 6078, 269, 7918, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 476, 11011, 269, 4343, 279, 271, 692, 4517, 1631, 1413, 476, 6078, 269, 7918, 4846, 3160, 11013, 5750, 585, 519, 2034, 4542, 1384, 298, 559, 9999, 623, 2432, 454, 6078, 269, 7918, 476, 11011, 269, 4343, 279, 692, 2026, 596, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 6078, 269, 7918, 11304, 11224, 6550, 267, 519, 4093, 616, 711, 1114, 269, 634, 8273, 2179, 519, 811, 1713, 3017, 269, 5457, 621, 950, 596, 991, 547, 798, 8273, 1297, 982, 476, 6078, 269, 7918, 13532, 6550, 7503, 780, 2971, 1215, 1082, 13532, 476, 6078, 269, 7918, 11013, 692, 3086, 596, 4121, 875, 547, 5173, 476, 6078, 269, 7918, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 3657, 596, 8049, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 6078, 269, 7918, 11304, 547, 6550, 543, 13728, 9819, 2496, 2171, 616, 2469, 547, 1397, 596, 875, 596, 666, 6460, 621, 2370, 676, 2370, 269, 2913, 779, 2253, 269, 1215, 1454, 568, 476, 6078, 269, 7918, 4846, 538, 7273, 543, 12063, 2496, 5575, 3364, 596, 991, 547, 798, 568, 9062, 1297, 540, 13532, 267, 713, 942, 476, 6078, 269, 7918, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 6078, 269, 7918, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 269, 2290, 11304, 568, 4010, 476, 273, 269, 14225, 25118, 7830, 6550, 780, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 780, 2414, 6460, 875, 1454, 476, 6078, 269, 7918, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 991, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 476, 27628, 31256, 4572, 13728, 780, 3383, 707, 6364, 568, 4010, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 1411, 666, 849, 5180, 1055, 13728, 267, 585, 1383, 267, 547, 1079, 4025, 269, 3973, 3803, 6364, 568, 3160, 476, 273, 6550, 543, 476, 3451, 13728, 780, 2026, 596, 1294, 267, 9819, 476, 6078, 269, 7918, 11304, 538, 6550, 543, 13728, 3833, 2653, 780, 763, 2063, 7503, 799, 649, 616, 2469, 547, 1397, 596, 568, 7503, 540, 476, 6078, 269, 7918, 3723, 6550, 547, 13532, 7397, 269, 5637, 540, 873, 616, 4559, 540, 960, 780, 2414, 6460, 3723, 6550, 547, 11304, 7397, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 1397, 596, 621, 267, 723, 513, 1413, 1384, 1892, 476, 6078, 269, 7918, 13532, 7397, 815, 476, 278, 269, 22001, 25320, 5952, 3723, 6550, 2676, 1892, 476, 6078, 269, 7918, 3723, 6550, 815, 476, 271, 269, 15946, 22724, 4817, 13532, 7397, 780, 3086, 1577, 779, 1294, 513, 4542, 1384, 10831, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 692, 3383, 547, 5173, 476, 6078, 269, 7918, 3723, 6550, 547, 13532, 7397, 596, 723, 547, 9062, 476, 6078, 269, 7918, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 6078, 269, 7918, 3723, 6550, 568, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 6078, 269, 7918, 3723, 6550, 786, 581, 3160, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 9819, 729, 607, 2653, 607, 476, 6078, 269, 7918, 11304, 883, 6550, 9273, 780, 1607, 2376, 568, 513, 2462, 735, 754, 1756, 827, 11304, 267, 11013, 543, 476, 6078, 269, 7918, 4846, 547, 7273, 538, 9819, 269, 9603, 547, 713, 9819, 596, 917, 476, 6078, 269, 7918, 11304, 568, 6697, 547, 875, 1082, 6550, 780, 2171, 4951, 596, 711, 1152, 875, 547, 1118, 513, 9819, 476, 6078, 269, 7918, 11304, 547, 11973, 6550, 855, 849, 1079, 1776, 9273, 910, 547, 2638, 875, 1082, 476, 6078, 269, 7918, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 6078, 269, 7918, 3723, 6550, 547, 13532, 7397, 780, 2171, 4951, 596, 849, 824, 1259, 547, 1118, 476, 6078, 269, 7918, 11304, 875, 1082, 6550, 24740, 267, 602, 568, 609, 946, 540, 476, 6078, 269, 7918, 4846, 679, 11013, 20303, 269, 901, 786, 581, 519, 1655, 3070, 585, 1346, 540, 596, 945, 798, 711, 899, 14291, 593, 707, 1378, 693, 782, 610, 991, 547, 1118, 7711, 19668, 8649, 870, 18360, 4846, 875, 7273, 9273, 538, 18334, 1259, 780, 2171, 4126, 602, 1631, 782, 540, 596, 616, 2111, 547, 1118, 476, 6078, 269, 7918, 11304, 3160, 547, 875, 1082, 6550, 7503, 910, 593, 707, 1378, 610, 609, 946, 540, 938, 476, 6078, 269, 7918, 4846, 338, 547, 6550, 20303, 780, 2005, 568, 942, 547, 1118, 707, 1847, 256, 22417, 476, 6078, 269, 7918, 11304, 2527, 547, 6550, 538, 519, 1259, 596, 899, 780, 2710, 596, 1616, 547, 1118, 824, 982, 476, 6078, 269, 7918, 11304, 607, 6550, 7503, 286, 1280, 3236, 267, 585, 476, 276, 13532, 286, 6744, 938, 824, 4930, 256, 1284, 10018, 602, 9273, 585, 824, 2338, 540, 13532, 616, 865, 2653, 607, 585, 476, 6078, 269, 7918, 11304, 3160, 1082, 6550, 780, 2162, 1215, 1454, 568, 476, 6078, 269, 7918, 4846, 538, 6550, 692, 2171, 1616, 547, 2040, 909, 713, 1888, 267, 602, 568, 875, 1454, 568, 476, 6078, 269, 7918, 4846, 538, 6550, 2073, 649, 5423, 585, 596, 606, 3606, 3296, 269, 3371, 649, 723, 585, 596, 782, 596, 991, 547, 917, 827, 875, 1454, 568, 476, 6078, 269, 7918, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 6078, 269, 7918, 4846, 547, 7273, 1547, 1411, 666, 1294, 621, 1524, 2630, 780, 1692, 1281, 519, 11304, 547, 11013, 7503, 1413, 286, 1677, 1118, 519, 4846, 547, 18470, 7503, 621, 568, 2877, 547, 9062, 476, 273, 2338, 269, 1215, 1281, 476, 6078, 269, 7918, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 5620, 513, 1413, 1384, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 692, 3086, 596, 666, 1294, 519, 1267, 540, 519, 7503, 540, 476, 6078, 269, 7918, 11304, 547, 6550, 269, 634, 3169, 1267, 568, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 7273, 780, 2467, 568, 849, 1776, 1259, 547, 5173, 875, 1454, 476, 6078, 269, 7918, 11304, 568, 3160, 547, 6550, 609, 2034, 267, 27571, 4528, 540, 519, 4542, 269, 5620, 513, 1413, 780, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 692, 3383, 1631, 267, 476, 6078, 269, 7918, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 1267, 568, 476, 11011, 269, 276, 3199, 271, 2537, 277, 4097, 279, 6550, 780, 1692, 547, 6460, 476, 6078, 269, 7918, 4846, 547, 7273, 18334, 543, 4443, 286, 898, 568, 2009, 547, 946, 519, 476, 6078, 269, 7918, 4846, 547, 7273, 20303, 2073, 799, 786, 798, 782, 9273, 585, 596, 543, 596, 786, 1205, 606, 3169, 2626, 16317, 2971, 18741, 9999, 1496, 11899, 6540, 763, 11304, 267, 610, 11304, 1889, 267, 568, 519, 3490, 1770, 540, 2597, 538, 519, 5450, 878, 1062, 269, 898, 568, 519, 16977, 2597, 540, 513, 13306, 540, 1216, 476, 1015, 17744, 593, 513, 2427, 780, 2971, 623, 2432, 1496, 331, 2125, 6540, 288, 11013, 568, 513, 1770, 540, 2597, 4122, 1031, 538, 519, 2136, 2276, 543, 519, 3703, 1455, 17314, 338, 269, 589, 11013, 568, 3989, 607, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 563, 5649, 811, 1644, 4930, 912, 476, 6078, 269, 4905, 4846, 547, 7273, 815, 476, 3445, 269, 30329, 277, 476, 6078, 269, 6349, 4846, 547, 7273, 815, 476, 3445, 269, 275, 3451, 277, 476, 6078, 269, 6734, 4846, 547, 7273, 815, 476, 3445 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 277, 348, 1299, 1299, 1299, 1341, 1299, 1422, 2765, 3189, 15883, 9041, 273, 2410, 273, 348, 1299, 910, 1299, 1422, 2765, 346, 272, 2410, 277, 348, 8607, 314, 271, 269, 272, 514, 316, 11513, 18773, 512, 11892, 275, 579, 3709, 1777, 1777, 11892, 562, 1299, 1299, 1299, 910, 261, 1422, 2765, 3189, 10401, 9041, 273, 2410, 2190, 348, 1299, 1299, 1299, 910, 1299, 1422, 2765, 3189, 15883, 9041, 273, 2410, 277, 348, 1299, 910, 1299, 1422, 2765, 346, 272, 2410, 2190, 348, 1422, 754, 15204, 4151, 630, 272, 269, 7830, 2020, 2414, 1265, 519, 1034, 4977, 3818, 9912, 1505, 540, 519, 2016, 1106, 267, 649, 4194, 585, 519, 2418, 540, 6695, 10401, 9041, 272, 18079, 6695, 10401, 9041, 273, 18079, 6695, 15883, 9041, 272, 18079, 543, 6695, 15883, 9041, 273, 2330, 602, 1267, 538, 519, 14170, 540, 519, 1101, 2185, 2474, 1373, 1541, 1227, 4642, 780, 19865, 476, 272, 2422, 30731, 10378, 262, 338, 19758, 31988, 4971, 538, 519, 1106, 692, 1535, 284, 589, 315, 321, 692, 7617, 540, 519, 1739, 1034, 5702, 13292, 707, 3070, 585, 3230, 24560, 10401, 9041, 272, 267, 1422, 10401, 9041, 273, 267, 1422, 15883, 9041, 272, 267, 1422, 15883, 9041, 273, 316, 317, 570, 2330, 2496, 19865, 476, 272, 692, 19865, 476, 273, 1548, 568, 519, 1931, 540, 6111, 540, 519, 10325, 596, 1336, 538, 519, 3635, 1657, 2496, 19865, 476, 273, 692, 12585, 281, 8074, 267, 609, 891, 2418, 267, 519, 3056, 5470, 2165, 568, 3230, 10559, 2765, 346, 272, 2410, 277, 7346, 18773, 512, 11892, 275, 579, 3709, 1777, 1777, 11892, 562, 21974, 4935, 267, 519, 10325, 568, 3791, 1931, 4977, 630, 2330, 335, 284, 274, 2330, 1040, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 11554, 18928, 2147, 547, 715, 3139, 15733, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 15782, 2164, 692, 289, 5802, 11762, 3436, 4635, 267, 16792, 543, 25705, 827, 9119, 3436, 11554, 18928, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 19177, 1507, 2338, 2285, 519, 23319, 547, 519, 9115, 540, 519, 2185, 4478, 2281, 780, 2162, 2859, 593, 631, 30769, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 692, 2467, 568, 513, 1279, 2245, 540, 2870, 544, 30769, 2429, 1686, 543, 2066, 519, 1158, 269, 901, 2376, 3947, 3877, 540, 544, 30769, 596, 666, 3643, 543, 1346, 602, 596, 666, 10994, 593, 1957, 780, 2162, 24504, 10060, 14181, 18602, 476, 273, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1607, 14181, 18602, 267, 1759, 593, 3604, 269, 4635, 519, 835, 23319, 1297, 666, 596, 1265, 519, 3070, 2496, 2162, 476, 280, 1284, 2074, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 723, 1044, 2016, 8370, 12035, 267, 835, 540, 799, 568, 5594, 18219, 982, 519, 1964, 269, 2052, 596, 960, 856, 799, 2597, 568, 18219, 538, 1175, 1079, 9260, 902, 540, 519, 3666, 2496, 2162, 3828, 514, 7412, 1606, 342, 6260, 14181, 18602, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 6292, 540, 14181, 18602, 13410, 602, 1927, 1291, 547, 513, 2347, 3070, 780, 2162, 21281, 595, 5725, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 20278, 519, 476, 1626, 1114, 10659, 540, 7484, 4882, 29694, 538, 713, 476, 275, 676, 476, 275, 11460, 865, 602, 1100, 4737, 610, 6241, 3568, 811, 982, 835, 7484, 610, 10487, 1356, 540, 519, 1482, 7990, 780, 2162, 2107, 5190, 543, 19748, 976, 267, 17166, 519, 13852, 338, 540, 853, 595, 2211, 781, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 289, 749, 2590, 619, 723, 513, 2027, 1259, 547, 2328, 1524, 519, 3270, 789, 8258, 269, 6258, 827, 891, 3270, 543, 2721, 930, 540, 707, 1378, 780, 2162, 9046, 14572, 267, 4635, 543, 16792, 543, 23398, 9119, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 19370, 6061, 568, 693, 519, 2295, 540, 519, 715, 30278, 295, 3135, 269, 2353, 519, 2042, 2285, 6267, 3255, 547, 1451, 267, 1020, 610, 946, 6310, 2035, 543, 1983, 269, 3367, 1934, 585, 811, 1344, 780, 2162, 25478, 593, 16707, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 5022, 540, 519, 2262, 9474, 3722, 4785, 723, 1044, 11231, 538, 519, 3337, 540, 513, 6906, 269, 1215, 1082, 1114, 2081, 666, 596, 1265, 547, 1224, 519, 2262, 9474, 3722, 4785, 689, 713, 21083, 4806, 2496, 2162, 28564, 4934, 540, 23426, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 2304, 4367, 547, 6125, 5086, 9511, 780, 2162, 29274, 631, 3291, 548, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 15575, 1845, 689, 2066, 519, 1158, 2841, 539, 538, 513, 5026, 29658, 269, 2052, 596, 28433, 606, 3608, 4640, 547, 960, 856, 519, 1931, 538, 799, 789, 8737, 2496, 2162, 9061, 532, 519, 16011, 12384, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 1607, 16602, 4161, 12134, 596, 547, 1265, 2081, 540, 2469, 2066, 25965, 267, 2469, 998, 4010, 4557, 10945, 780, 2162, 8490, 609, 7043, 518, 14339, 338, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 288, 4101, 2534, 2519, 593, 4466, 782, 2009, 2081, 540, 10518, 532, 22203, 780, 2162, 634, 715, 8898, 30449, 538, 14181, 18602, 692, 7462, 8609, 281, 476, 273, 267, 476, 274, 543, 476, 275, 692, 288, 1880, 4480, 585, 6061, 14181, 18602, 13410, 267, 1634, 607, 834, 333, 8898, 6292, 2580, 568, 6045, 538, 713, 2653, 3562, 22345, 2376, 780, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 305, 1430, 982, 1210, 519, 2338, 476, 272, 268, 280, 267, 713, 521, 644, 18602, 3096, 519, 8370, 1114, 5022, 1031, 547, 1118, 519, 1913, 834, 3849, 1203, 25038, 6231, 2162, 23413, 11276, 16011, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 543, 476, 274, 7420, 5426, 1384, 2467, 616, 8370, 22788, 323, 625, 538, 23413, 11276, 16011, 910, 1614, 2699, 267, 1614, 4544, 543, 1614, 5835, 269, 1703, 616, 849, 8370, 8075, 267, 1614, 540, 1142, 7990, 269, 2052, 596, 2322, 873, 593, 519, 4786, 540, 23413, 11276, 16011, 2687, 547, 519, 3652, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 991, 547, 1265, 519, 2418, 540, 519, 6801, 1354, 596, 666, 4019, 3339, 14181, 18602, 3652, 780, 2162, 3689, 4045, 8422, 585, 5565, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 5575, 4045, 8422, 3014, 585, 606, 2937, 543, 1126, 269, 2422, 519, 18062, 2338, 543, 2901, 1840, 610, 12408, 547, 1205, 1614, 2338, 538, 513, 2786, 1899, 780, 2162, 17897, 531, 3828, 514, 14181, 758, 639, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1607, 6292, 540, 5532, 14181, 758, 639, 13292, 5022, 609, 2338, 543, 554, 1938, 513, 12119, 28551, 269, 2052, 596, 1265, 621, 2496, 2162, 28037, 9047, 9046, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 21576, 814, 476, 1911, 16295, 269, 8058, 875, 621, 568, 2009, 547, 6133, 4010, 476, 1911, 17914, 543, 1491, 4010, 11278, 1911, 952, 519, 5777, 616, 11278, 1015, 585, 4079, 267, 476, 2004, 335, 585, 27404, 619, 543, 476, 1015, 335, 585, 1453, 780, 2162, 16727, 20603, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 4692, 596, 946, 707, 7060, 540, 7954, 543, 17429, 794, 547, 960, 856, 519, 7508, 1344, 538, 891, 7328, 344, 3871, 2496, 2162, 9931, 17549, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 602, 3096, 14759, 607, 5885, 10881, 780, 2162, 22472, 14181, 18602, 476, 274, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 10881, 607, 12753, 610, 8454, 780, 2162, 24410, 7632, 727, 10222, 9201, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 6624, 2067, 1949, 2408, 547, 581, 538, 11466, 2394, 10393, 513, 2565, 1448, 568, 6603, 267, 4259, 909, 513, 16095, 16435, 728, 610, 606, 1285, 23750, 3832, 610, 606, 13091, 269, 769, 713, 1788, 267, 1053, 786, 946, 513, 2241, 269, 1547, 1547, 16317, 2162, 4144, 21192, 8605, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 11693, 519, 2472, 540, 25241, 958, 6587, 2281, 910, 666, 596, 2347, 713, 14181, 18602, 2496, 2162, 1411, 744, 933, 2725, 12866, 10787, 628, 902, 267, 17166, 519, 13852, 338, 540, 853, 9410, 781, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8196, 519, 2170, 2032, 547, 6432, 547, 519, 30518, 30366, 513, 4806, 269, 3767, 621, 781, 707, 2490, 256, 7591, 835, 540, 519, 30518, 3054, 269, 1215, 798, 596, 917, 950, 621, 568, 707, 2490, 547, 8258, 2496, 2162, 22472, 14181, 18602, 476, 272, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 10881, 607, 12753, 780, 2162, 16338, 14181, 18602, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 8196, 519, 3604, 547, 1265, 519, 3070, 547, 713, 14181, 18602, 780, 2162, 700, 8104, 302, 7420, 910, 10222, 9201, 1606, 638, 4100, 3613, 1513, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 4692, 596, 30712, 891, 6272, 286, 1548, 616, 519, 2596, 4559, 286, 1548, 3350, 568, 2838, 1063, 1142, 1770, 286, 2368, 17715, 946, 540, 5773, 786, 948, 910, 4632, 711, 1898, 780, 2162, 28249, 14181, 18602, 476, 272, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 513, 6335, 780, 2162, 10435, 13174, 281, 17677, 21758, 18903, 12384, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 13014, 707, 1378, 5595, 21758, 9059, 4009, 269, 1809, 666, 596, 2347, 1312, 5011, 2899, 596, 4312, 1500, 519, 4773, 2496, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1607, 568, 513, 8390, 540, 521, 644, 18602, 799, 3568, 513, 1305, 540, 2027, 23319, 5991, 13246, 269, 3962, 1305, 540, 476, 275, 1507, 9704, 6763, 585, 519, 2338, 538, 519, 2185, 2281, 540, 519, 7470, 11105, 547, 713, 1305, 780, 2162, 2051, 712, 11866, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2304, 3063, 23061, 1797, 713, 14181, 18602, 3340, 596, 547, 1589, 538, 32377, 607, 1134, 607, 8880, 543, 7299, 3515, 543, 10833, 540, 8370, 780, 2162, 11638, 1255, 14181, 18602, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 10376, 23319, 538, 713, 14181, 18602, 568, 519, 1587, 540, 519, 1079, 2338, 538, 11105, 2281, 780, 2162, 3828, 514, 4856, 22046, 532, 14181, 18602, 8633, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 10521, 521, 644, 758, 639, 538, 835, 269, 7420, 3054, 547, 1118, 519, 2556, 4296, 780, 2162, 28038, 715, 30278, 295, 29375, 6579, 32271, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 2171, 2811, 9599, 827, 713, 1007, 1982, 585, 5373, 4190, 6310, 6272, 269, 2052, 596, 960, 856, 875, 649, 1500, 938, 1101, 1906, 5961, 543, 267, 1256, 1732, 267, 2671, 707, 1034, 17715, 3435, 609, 721, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2252, 596, 1491, 513, 1614, 676, 1614, 4009, 593, 513, 476, 272, 268, 1015, 1840, 4009, 543, 9062, 519, 25241, 958, 6587, 2338, 1927, 267, 1018, 568, 519, 3017, 1063, 891, 2472, 269, 4208, 2496, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 19177, 2338, 593, 606, 10167, 602, 991, 547, 581, 5116, 538, 519, 4478, 2281, 269, 2334, 568, 782, 596, 991, 547, 917, 547, 4194, 713, 521, 644, 18602, 780, 2162, 13491, 25038, 476, 1001, 272, 910, 18520, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 3849, 1203, 25038, 476, 1001, 272, 910, 513, 6310, 2534, 585, 1142, 1554, 1282, 519, 2196, 5346, 547, 8285, 780, 2162, 22472, 14181, 18602, 476, 273, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 14181, 18602, 609, 10881, 607, 12753, 780, 2162, 769, 5652, 28116, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 1607, 13306, 814, 13504, 593, 1142, 3068, 799, 3762, 7436, 593, 1957, 607, 621, 568, 18202, 269, 2052, 596, 960, 856, 1018 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1721, 630, 842, 1775, 815, 1109, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 994, 19127, 604, 630, 31184, 5157, 316, 11203, 513, 5157, 7481, 12248, 10030, 3248, 10926, 8873, 1293, 3248, 10926, 842, 1109, 10852, 4590, 19127, 842, 513, 26514, 815, 2715, 277, 267, 1109, 273, 267, 1109, 274, 267, 1109, 279, 267, 1109, 280, 2073, 1109, 272, 348, 16963, 842, 562, 815, 1109, 21653, 1993, 5416, 264, 1315, 1109, 21653, 1993, 5416, 314, 271, 316, 32007, 322, 719, 24177, 1109, 257, 7089, 540, 3765, 31419, 2609, 281, 834, 24177, 1293, 8548, 529, 31419, 5416, 267, 562, 32007, 8873, 1109, 271, 3248, 348, 32526, 20479, 1384, 1730, 10831, 540, 3765, 31419, 2609, 281, 476, 275, 1730, 692, 2162, 29203, 1323, 331, 904, 529, 692, 11742, 6988, 281, 1284, 616, 1210, 513, 4990, 1599, 547, 4990, 519, 10151, 5044, 267, 865, 519, 942, 6988, 568, 744, 3799, 265, 331, 1758, 6393, 22129, 6988, 281, 744, 3799, 1070, 607, 649, 616, 1210, 513, 10151, 5044, 630, 31184, 6393, 9827, 1294, 267, 1109, 15887, 514, 10127, 335, 23990, 780, 7476, 519, 10509, 4876, 596, 17330, 267, 5488, 2336, 21010, 609, 938, 4274, 5646, 8688, 832, 547, 1174, 875, 547, 11360, 707, 1259, 547, 1967, 454, 27165, 12773, 476, 275, 269, 278, 270, 276, 454, 272, 281, 272, 8969, 1489, 454, 4817, 260, 13307, 2594, 454, 288, 330, 1662, 6022, 454, 25938, 1640, 12229, 23910, 454, 30444, 260, 670, 833, 2991, 16763, 645, 2393, 322, 2086, 454, 295, 574, 753, 16852, 717, 639, 664, 454, 25284, 1067, 8890, 560, 454, 3953, 700, 5183, 2991, 16763, 645, 2393, 322, 2086, 454, 5475, 16763, 454, 289, 2393, 322, 2086, 692, 304, 272, 269, 1548, 616, 519, 2640, 540, 18570, 543, 4994, 532, 2496, 12585, 281, 1109, 10574, 13539, 666, 581, 513, 3730, 10763, 1907, 538, 543, 540, 3294, 267, 8744, 3270, 543, 22114, 547, 1769, 269, 590, 15659, 513, 3349, 9308, 556, 7451, 1239, 543, 17016, 519, 2164, 547, 513, 1007, 24630, 3349, 269, 634, 5817, 2168, 1931, 540, 1239, 568, 711, 4957, 676, 4994, 532, 780, 304, 273, 269, 6904, 18570, 1505, 568, 519, 1034, 2500, 2496, 12585, 281, 1109, 5226, 6506, 677, 568, 835, 540, 519, 1034, 3608, 18570, 6620, 267, 543, 607, 513, 1267, 267, 621, 568, 849, 835, 540, 519, 1034, 2442, 269, 634, 1101, 1900, 568, 547, 3442, 513, 22141, 1297, 269, 901, 1297, 786, 5094, 519, 1239, 267, 609, 4130, 2338, 593, 519, 2451, 543, 3677, 2338, 593, 519, 1318, 780, 304, 274, 269, 1548, 666, 649, 798, 547, 1118, 19467, 4990, 1732, 2496, 12585, 281, 1280, 1507, 1016, 541, 7590, 267, 946, 24450, 4990, 269, 4107, 25276, 6620, 666, 581, 4824, 676, 8156, 1507, 2665, 8335, 269, 1280, 1507, 1016, 541, 7590, 267, 15175, 547, 24450, 4990, 786, 2569, 519, 4881, 942, 540, 513, 6093, 12388, 525, 677, 6388, 676, 476, 1015, 260, 547, 476, 1428, 10065, 6744, 952, 519, 5044, 568, 2907, 538, 519, 2953, 1931, 780, 1012, 6206, 6875, 25498, 692, 1607, 2376, 5941, 519, 1935, 547, 4466, 519, 1297, 540, 3765, 31419, 2609, 689, 519, 4994, 1310, 18570, 1210, 513, 10151, 5044, 609, 1806, 547, 1174, 922, 595, 10030, 3009, 1732, 780, 2252, 596, 616, 606, 6207, 19444, 267, 5461, 538, 8193, 267, 543, 1616, 547, 1451, 667, 6347, 267, 596, 666, 1413, 585, 938, 11461, 2619, 585, 667, 6347, 267, 799, 568, 1863, 2439, 27775, 2105, 9046, 910, 1109, 300, 10235, 918, 590, 9285, 1488, 7590, 0, 31388, 267, 4864, 476, 1240, 267, 476, 1220, 279, 692, 307, 11391, 334, 3146, 331, 894, 12557, 692, 763, 942, 8884, 1063, 2621, 666, 581, 6829, 607, 606, 2179, 540, 6207, 942, 267, 971, 607, 513, 1297, 540, 1984, 1047, 6948, 269, 769, 519, 2013, 540, 5781, 18110, 2621, 267, 519, 942, 8884, 1063, 20422, 2621, 568, 3586, 267, 543, 602, 942, 8884, 568, 1572, 519, 1974, 269, 630, 763, 2621, 616, 13350, 4700, 1284, 666, 2161, 602, 606, 2680, 4386, 2899, 1169, 1496, 704, 1675, 316, 1984, 1047, 6948, 780, 763, 11201, 540, 519, 1974, 630, 272, 5258, 676, 519, 1974, 264, 568, 1572, 519, 2557, 610, 734, 18034, 585, 10221, 1431, 693, 606, 8301, 2557, 267, 971, 607, 10221, 1431, 540, 513, 5951, 845, 734, 1492, 4908, 269, 23866, 4908, 568, 2356, 6829, 538, 5951, 845, 9979, 829, 2034, 267, 513, 21993, 18502, 269, 670, 1068, 345, 267, 28484, 21636, 780, 19030, 2080, 616, 513, 7008, 540, 1806, 540, 12719, 2557, 630, 528, 4908, 264, 543, 1974, 780, 2304, 1073, 4141, 4730, 519, 4063, 589, 1657, 1647, 595, 734, 1492, 4063, 547, 799, 519, 32316, 26107, 734, 335, 1238, 806, 513, 3159, 602, 5161, 540, 513, 18110, 5951, 845, 602, 29349, 476, 24496, 10221, 1431, 829, 2034, 269, 2334, 781, 1946, 596, 1419, 5873, 12372, 3277, 547, 834, 288, 268, 24496, 257, 607, 513, 4704, 3159, 269, 634, 5951, 845, 28197, 476, 24496, 2053, 829, 2034, 267, 865, 922, 4909, 4908, 568, 476, 24496, 21636, 630, 31260, 829, 2034, 1070, 865, 922, 1974, 568, 476, 272, 270, 24496, 7643, 829, 4783, 267, 799, 568, 476, 271, 269, 16573, 2767, 7643, 267, 1775, 4318, 1421, 476, 273, 269, 2767, 1984, 1047, 6948, 269, 4107, 540, 519, 942, 649, 1416, 811, 827, 513, 3159, 781, 4908, 1317, 602, 11887, 922, 9228, 12334, 282, 855, 538, 2780, 2575, 267, 1141, 649, 2811, 1419, 7231, 609, 3280, 693, 513, 18784, 1377, 267, 649, 3006, 991, 547, 917, 922, 1974, 780, 2252, 513, 2110, 4063, 28197, 1169, 10116, 4063, 630, 328, 4318, 1421, 1169, 10726, 264, 693, 519, 2557, 540, 476, 1911, 20054, 829, 8792, 630, 1911, 536, 10975, 267, 513, 9425, 2656, 2557, 1070, 922, 2557, 568, 476, 1911, 20054, 829, 476, 2568, 7643, 267, 1775, 4318, 1421, 476, 1911, 270, 2568, 20054, 829, 2034, 267, 865, 922, 1974, 734, 1492, 942, 1063, 519, 12614, 540, 1142, 4063, 734, 529, 519, 11201, 540, 602, 267, 1775, 4318, 1421, 476, 2568, 270, 1911, 540, 513, 2034, 829, 10726, 267, 1775, 4318, 269, 476, 271, 269, 277, 7643, 267, 1775, 4318, 1421, 476, 7785, 20444, 269, 1924, 952, 649, 4941, 606, 16079, 540, 1142, 4063, 547, 2049, 4010, 538, 1063, 519, 4967, 734, 517, 519, 21632, 4063, 1063, 1142, 10116, 4063, 734, 933, 9364, 917, 602, 649, 991, 547, 8488, 519, 3280, 676, 476, 272, 270, 273, 540, 476, 7785, 20444, 267, 799, 568, 476, 4968, 20444, 780, 2252, 649, 616, 11049, 513, 3381, 609, 513, 7406, 2557, 540, 476, 1789, 14604, 829, 2034, 630, 1789, 535, 1186, 1070, 649, 666, 2769, 519, 2557, 607, 476, 1789, 14604, 1315, 476, 272, 2034, 267, 865, 519, 1974, 568, 519, 11201, 540, 602, 281, 476, 272, 2034, 1315, 476, 1789, 14604, 630, 328, 4318, 1421, 476, 272, 270, 1789, 540, 513, 2034, 829, 7406, 1070, 865, 649, 917, 602, 519, 942, 6170, 593, 1142, 7406, 568, 476, 272, 270, 1789, 2034, 267, 1775, 4318, 1421, 476, 271, 269, 30033, 3451, 3813, 1421, 1775, 4318, 1421, 476, 3451, 269, 3451, 20444, 780, 3383, 1934, 781, 513, 1966, 547, 1449, 707, 1620, 269, 1403, 513, 3381, 609, 513, 7406, 2557, 540, 476, 1789, 535, 1186, 568, 10483, 676, 2575, 609, 513, 10726, 2557, 540, 476, 1911, 536, 10975, 267, 875, 1082, 14604, 1714, 8985, 609, 1142, 10726, 540, 519, 2575, 286, 1284, 917, 602, 519, 1974, 540, 519, 10726, 568, 476, 7785, 20444, 267, 543, 519, 1974, 540, 519, 3381, 14604, 568, 476, 3451, 269, 3451, 20444, 267, 865, 649, 3274, 991, 547, 5173, 875, 1082, 2053, 476, 3451, 269, 3451, 4422, 883, 476, 7785, 547, 1265, 856, 519, 1297, 540, 14604, 829, 10726, 269, 476, 7785, 270, 3451, 269, 3451, 815, 476, 1240, 269, 1924, 693, 602, 10726, 2557, 267, 513, 10116, 4063, 568, 3160, 547, 476, 1240, 14604, 540, 3381, 267, 606, 21632, 4063, 568, 3160, 547, 476, 280, 14604, 267, 513, 17784, 339, 21632, 4967, 568, 3160, 547, 476, 277, 14604, 267, 543, 865, 593, 780, 19030, 763, 6482, 540, 942, 538, 7643, 610, 1984, 1047, 6948, 568, 6662, 543, 12170, 267, 855, 972, 781, 4986, 827, 1346, 4559, 540, 2268, 602, 814, 1022, 7915, 2078, 547, 1480, 8226, 267, 543, 621, 781, 711, 8209, 2141, 519, 1034, 3730, 1259, 547, 1865, 942, 585, 7574, 5301, 780, 1103, 1034, 2575, 972, 568, 930, 2631, 540, 513, 11931, 13350, 10726, 269, 630, 2026, 609, 782, 2489, 3074, 3823, 2575, 267, 17756, 616, 2653, 547, 1265, 267, 855, 1577, 781, 3398, 519, 3948, 585, 519, 942, 1373, 4700, 1280, 1034, 1480, 12656, 11526, 2575, 267, 519, 12170, 8669, 1465, 610, 1526, 3599, 540, 519, 10726, 2557, 568, 19796, 1190, 538, 4890, 2259, 282, 12372, 3500, 1524, 543, 3432, 909, 782, 519, 942, 267, 1312, 29596, 543, 796, 4621, 19290, 269, 1809, 1256, 950, 519, 2575, 3322, 11029, 5787, 725, 543, 632, 5120, 725, 267, 519, 12372, 616, 3622, 2324, 609, 606, 1620, 540, 630, 663, 267, 952, 972, 616, 2789, 12372, 4730, 267, 513, 13618, 827, 264, 513, 12497, 3586, 10726, 2557, 538, 519, 2575, 267, 799, 568, 11214, 1373, 30833, 676, 519, 3280, 269, 634, 10726, 2557, 568, 22905, 538, 6207, 942, 267, 855, 12372, 6140, 917, 543, 1745, 519, 10726, 2557, 16022, 569, 267, 1510, 7893, 621, 676, 513, 9219, 269, 4495, 519, 10726, 2557, 568, 3964, 538, 519, 2247, 540, 513, 22459, 610, 513, 26575, 267, 824, 2621, 267, 3928, 267, 543, 5712, 616, 16022, 569, 7229, 3448, 547, 519, 10726, 2557, 267, 2864, 982, 676, 6207, 9219, 942, 269, 1924, 13718, 2690, 7574, 5301, 267, 621, 781, 1419, 1034, 3730, 547, 3715, 519, 10726, 2557, 267, 513, 21993, 18502, 1421, 519, 32171, 267, 543, 1287, 1589, 540, 782, 4559, 540, 942, 3448, 547, 602, 32171, 269, 901, 568, 10630, 538, 5375, 2575, 10035, 267, 538, 799, 546, 15342, 616, 711, 730, 3448, 547, 513, 10726, 267, 855, 519, 24754, 10035, 568, 4830, 540, 519, 32171, 267, 799, 568, 2854, 693, 519, 4098, 540, 519, 4062, 610, 3296, 269, 4495, 649, 3715, 513, 32171, 543, 649, 1289, 519, 10726, 513, 10116, 4063, 267, 1287, 649, 666, 1865, 546, 15342, 543, 942, 11996, 538, 2474, 540, 4063, 2418, 971, 607, 31303, 4063, 267, 2898, 4063, 267, 3092, 269, 1510, 17596, 547, 1118, 513, 1463, 4704, 547, 9219, 942, 269, 901, 1259, 540, 7234, 942, 568, 1572, 32171, 3146, 331, 894, 942, 267, 607, 10353, 547, 6207, 630, 22018, 264, 942, 269, 1403, 649, 1689, 519, 32171, 855, 1832, 519, 32171, 3146, 331, 894, 10035, 519, 1482, 267, 519, 6207, 942, 11996, 1689, 267, 855, 519, 5223, 3347, 540, 1346, 942, 11996, 3251, 519, 1482, 269, 1403, 519, 10726, 32171, 568, 1634, 267, 971, 607, 834, 638, 6621, 4063, 815, 476, 1911, 257, 630, 1911, 536, 10975, 1070, 1287, 621, 781, 2009, 547, 5173, 782, 32171, 3146, 331, 894, 942, 11996, 607, 6207, 942, 11996, 267, 543, 13030, 17930, 269, 634, 5413, 540, 1210, 32171, 3146, 331, 894, 942, 10035, 568, 602, 513, 264, 621, 781, 519, 1259, 12372, 12926, 1589, 540, 942, 267, 536, 264, 621, 2306, 942, 3347, 10423, 1317, 789, 2811, 6829, 607, 2241, 12753, 267, 543, 524, 264, 621, 2636, 11733, 543, 32171, 547, 581, 6829, 10446, 269, 769, 2780, 2575, 267, 713, 814, 519, 5413, 602, 676, 4657, 513, 2582, 1297, 734, 1492, 32171, 734, 933, 666, 1689, 519, 6207, 12557, 540, 782, 18819, 1247, 6028, 741, 32171, 3146, 331, 894, 12557, 519, 1482, 780, 1607, 1982, 2982, 875, 547, 1711, 31764, 17279, 540, 606, 2680, 538, 7665, 267, 1210, 32171, 3146, 331, 894, 12557, 780, 314, 9616, 602, 585, 713, 1982, 547, 960, 5265, 267, 621, 2115, 547, 581, 2111, 547, 1569, 1079, 824, 6119, 267, 513, 3280, 3758, 543, 606, 3239, 3758, 269, 1411, 1058, 4647, 891, 1079, 630, 854, 1507, 264, 2923, 6119, 4534, 2879, 732, 18502, 604, 543, 6263, 2183, 27970, 4534, 543, 1747, 873, 538, 519, 1482, 17835, 607, 519, 1982, 3758, 269, 6540, 1607, 1982, 568, 519, 1482, 607, 519, 1982, 538, 519, 3105, 3992, 593, 31764, 17279, 693, 513, 11931, 2557, 267, 855, 621, 20475, 942, 11996, 1210, 513, 3844, 9219, 267, 1634, 607, 519, 3560, 538, 7665, 267, 3079, 540, 6207, 942, 538, 1984, 1047, 6948, 780, 1103, 519, 5580, 28878, 6712, 540, 519, 6885, 568, 519, 3560, 1843, 269, 1879, 621, 568, 3323, 267, 621, 2488, 513, 3844, 9219, 602, 8952, 3950, 540, 519, 8574, 540, 942 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3848, 476, 279, 281, 18321, 15369, 10658, 26072, 1299, 10632, 692, 5970, 596, 2479, 5129, 513, 3381, 3014, 1759, 593, 513, 1650, 689, 519, 6426, 286, 2107, 875, 827, 513, 11015, 602, 11414, 596, 827, 707, 5132, 286, 1403, 711, 267, 1287, 1205, 4712, 1317, 649, 2811, 2469, 547, 2263, 519, 1158, 540, 5132, 2861, 13410, 543, 3756, 2439, 5331, 4730, 513, 3014, 1141, 596, 948, 25424, 1628, 1010, 818, 330, 267, 610, 4194, 13410, 1247, 1565, 827, 4906, 781, 28986, 269, 1452, 2010, 540, 3756, 666, 4001, 721, 1271, 4245, 538, 1187, 543, 7317, 2081, 269, 1358, 849, 1450, 721, 547, 2671, 938, 5132, 609, 1866, 998, 1404, 780, 3080, 1383, 540, 513, 5132, 2861, 11015, 568, 1572, 834, 763, 23452, 4975, 540, 27098, 1701, 901, 3014, 3217, 1747, 1282, 13400, 2053, 543, 2591, 5716, 547, 1265, 6456, 3615, 1369, 4190, 8916, 269, 3962, 1843, 814, 513, 4276, 547, 513, 6426, 14235, 610, 1650, 267, 4543, 5716, 1451, 811, 827, 741, 5132, 1247, 2348, 1187, 6061, 13410, 780, 5194, 1826, 540, 5132, 2861, 3014, 568, 835, 602, 6645, 513, 1650, 689, 519, 6426, 269, 1280, 3236, 267, 972, 616, 1082, 3756, 1759, 593, 519, 1650, 540, 6424, 543, 717, 10008, 987, 269, 24812, 1491, 593, 519, 1909, 540, 6424, 543, 1590, 946, 4640, 543, 5578, 547, 14710, 717, 10008, 987, 269, 3414, 713, 1995, 267, 789, 1451, 827, 10100, 267, 5132, 267, 543, 8990, 780, 3719, 1946, 1711, 5132, 2861, 13410, 543, 3756, 286, 4270, 267, 1175, 899, 1022, 824, 3872, 1907, 267, 891, 3756, 666, 4001, 3407, 4245, 543, 3741, 269, 1635, 9256, 9913, 609, 2069, 267, 649, 666, 4497, 1453, 543, 4079, 7567, 538, 3695, 741, 5132, 269, 3958, 267, 2870, 891, 3756, 3340, 5876, 267, 1966, 9010, 1983, 267, 543, 16542, 910, 782, 1898, 7592, 585, 1967, 538, 2221, 781, 1158, 780, 2252, 596, 2811, 5461, 538, 1818, 707, 1378, 5132, 2861, 11015, 610, 3014, 267, 1934, 616, 930, 3268, 547, 1246, 1384, 272, 269, 7994, 513, 9452, 610, 27484, 281, 32341, 799, 6426, 1650, 610, 6249, 596, 1616, 547, 1445, 593, 269, 6056, 827, 1018, 5048, 596, 4126, 547, 6655, 543, 945, 707, 5304, 786, 581, 563, 273, 269, 5071, 2659, 10794, 281, 28220, 856, 519, 11768, 540, 707, 3014, 267, 1519, 3197, 267, 9465, 267, 543, 2157, 269, 6333, 1210, 3308, 2609, 971, 607, 4778, 543, 6698, 547, 2099, 1114, 3344, 540, 707, 5132, 563, 274, 269, 3503, 1849, 1132, 610, 12694, 281, 8073, 10881, 610, 2591, 602, 2154, 2565, 3206, 543, 8086, 269, 5269, 2386, 789, 1921, 547, 707, 6074, 1650, 610, 6249, 563, 275, 269, 4530, 2659, 10794, 281, 7591, 11687, 707, 3014, 609, 2828, 543, 1920, 2818, 547, 2327, 621, 781, 11791, 543, 2500, 693, 3450, 707, 5497, 3992, 563, 276, 269, 9523, 2659, 20520, 281, 4495, 596, 4312, 3501, 539, 707, 3014, 267, 2671, 621, 609, 1866, 256, 1411, 1522, 1256, 2015, 16475, 513, 3014, 3781, 610, 6735, 547, 6338, 1866, 547, 707, 5137, 780, 8855, 267, 2870, 5132, 2861, 13410, 543, 3756, 568, 782, 827, 4687, 707, 4978, 538, 513, 3860, 543, 2502, 1259, 269, 1924, 1810, 1405, 581, 12922, 547, 4603, 543, 2119, 1007, 1919, 269, 5808, 6487, 910, 596, 1522, 3605, 513, 6612, 585, 3014, 1374, 2059, 519, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 729, 8385, 2854, 676, 19846, 928, 28243, 543, 11540, 593, 717, 24252, 583, 571, 476, 6734, 270, 2641, 270, 1626, 476, 6349, 281, 1704, 281, 876, 10681, 454, 288, 3126, 540, 20775, 2621, 723, 4780, 3022, 538, 1250, 1272, 547, 2046, 803, 883, 2921, 1007, 2962, 593, 1250, 966, 2888, 3014, 1646, 1788, 269, 2368, 540, 891, 3527, 616, 11319, 803, 883, 14542, 8513, 269, 1809, 621, 3884, 1406, 899, 594, 4076, 2760, 1305, 856, 547, 798, 1945, 594, 4076, 2760, 2944, 1354, 269, 2334, 1360, 5176, 6257, 1169, 13120, 649, 4076, 1500, 538, 519, 966, 2888, 1788, 269, 634, 21777, 1900, 2705, 568, 585, 803, 547, 3343, 856, 1857, 6340, 2621, 547, 2911, 827, 966, 2888, 269, 2991, 10283, 538, 513, 476, 276, 269, 276, 5662, 1357, 14373, 593, 1857, 6340, 594, 1305, 856, 547, 2328, 513, 4633, 1739, 519, 4808, 594, 4121, 689, 602, 1357, 14373, 269, 594, 3838, 602, 4633, 609, 513, 8284, 3014, 17354, 269, 1261, 8815, 547, 1224, 621, 543, 2709, 930, 4388, 585, 6454, 267, 610, 2489, 5955, 269, 594, 1589, 649, 1312, 941, 4990, 540, 24584, 513, 10792, 3210, 543, 7199, 1196, 1080, 269, 2991, 2542, 621, 2705, 646, 29429, 1394, 593, 547, 519, 28034, 649, 941, 14379, 593, 543, 1767, 519, 1152, 5796, 646, 1185, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 28216, 15369, 10658, 26072, 1299, 10632, 257, 607, 851, 540, 834, 16300, 13493, 1315, 16241, 1315, 4168, 1315, 10632, 1299, 11242, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 2107, 15605, 18181, 10613, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 581, 2111, 547, 3434, 610, 15605, 1210, 1585, 2409, 543, 1174, 875, 547, 6451, 621, 883, 8949, 8286, 2439, 7072, 912, 5970, 596, 2479, 6836, 610, 15605, 286, 898, 781, 513, 1826, 540, 1507, 267, 7573, 11057, 18437, 2442, 538, 7969, 11951, 269, 4653, 267, 649, 616, 2469, 547, 1451, 827, 1114, 2081, 547, 3434, 610, 15605, 865, 602, 596, 666, 23666, 707, 1920, 543, 2828, 609, 707, 16012, 11477, 1983, 256, 1284, 3513, 2263, 2185, 2653, 2409, 1765, 2692, 4979, 267, 11256, 267, 1094, 583, 2946, 532, 267, 543, 1567, 582, 1729, 2511, 11652, 1683, 26345, 11600, 2093, 2059, 519, 1259, 269, 2913, 781, 4685, 1318, 538, 2439, 19686, 476, 272, 281, 4425, 4979, 2107, 15605, 630, 9617, 899, 2834, 18437, 26695, 3721, 476, 272, 281, 19130, 513, 1804, 1494, 609, 1216, 543, 3142, 621, 547, 513, 12902, 14974, 269, 5457, 267, 2141, 946, 7899, 540, 1216, 950, 5986, 18437, 563, 3721, 476, 273, 281, 5410, 6070, 547, 6492, 282, 5111, 835, 23188, 829, 11013, 540, 18437, 568, 5227, 563, 3721, 476, 274, 281, 32449, 538, 707, 5551, 2179, 540, 610, 15605, 543, 13489, 12212, 1282, 5986, 547, 2061, 23578, 563, 3721, 476, 275, 281, 6744, 519, 10189, 5528, 585, 16977, 5986, 942, 855, 1376, 4152, 1310, 827, 2947, 3764, 269, 2107, 15605, 2356, 3217, 1063, 5722, 547, 4557, 3764, 547, 1831, 620, 7202, 324, 630, 322, 10541, 2394, 1175, 6109, 1916, 3721, 476, 276, 281, 4495, 11273, 267, 8963, 519, 610, 15605, 538, 513, 897, 6387, 543, 27125, 896, 4411, 4881, 1216, 952, 711, 1210, 5612, 269, 3767, 596, 723, 9985, 11273, 610, 15605, 4712, 547, 3575, 609, 824, 5820, 780, 3725, 10360, 22830, 281, 5259, 2107, 15605, 6428, 611, 454, 307, 1601, 11273, 610, 15605, 609, 22872, 29475, 267, 22269, 14274, 267, 2699, 22323, 267, 535, 9508, 10381, 267, 10153, 1161, 267, 14462, 3282, 267, 11993, 10433, 267, 543, 12015, 7626, 1146, 334, 269, 17897, 609, 6070, 543, 14723, 547, 6492, 269, 17949, 607, 513, 24253, 2427, 8670, 610, 3640, 621, 585, 12899, 2439, 314, 25594, 609, 10613, 476, 273, 268, 275, 267, 1739, 519, 1482, 3898, 607, 6396, 476, 272, 269, 3962, 1505, 1058, 1331, 2241, 3268, 543, 1187, 11600, 2093, 269, 6540, 19686, 476, 273, 281, 645, 1136, 2107, 15605, 454, 24823, 622, 610, 15605, 883, 22101, 518, 3421, 543, 19323, 8286, 676, 840, 2275, 8504, 621, 5594, 1354, 11544, 609, 14036, 543, 824, 3334, 269, 1280, 1383, 267, 2119, 1818, 513, 29380, 344, 19323, 610, 15605, 8670, 609, 2261, 514, 4673, 14036, 267, 4779, 3960, 732, 12848, 267, 543, 2666, 21429, 610, 17724, 773, 1835, 3518, 956, 269, 962, 636, 2439, 19686, 476, 274, 281, 590, 2246, 2946, 532, 2107, 15605, 454, 9558, 845, 10750, 610, 15605, 883, 513, 2656, 1236, 32576, 7594, 676, 21066, 536, 20621, 621, 538, 7423, 610, 3282, 1354, 4946, 26185, 267, 9174, 267, 610, 1256, 31629, 17339, 269, 853, 597, 4749, 1247, 31652, 532, 936, 1970, 3002, 2394, 782, 5277, 814, 1044, 12842, 269, 570, 1601, 538, 930, 1989, 730, 533, 1301, 525, 534, 10381, 267, 4195, 11922, 267, 543, 19787, 585, 3773, 8137, 780, 19686, 476, 275, 281, 20322, 582, 1729, 13910, 2107, 15605, 454, 8620, 513, 27598, 267, 1232, 611, 550, 8670, 24188, 540, 2757, 1567, 582, 1729, 676, 7444, 4946, 3636, 9269, 610, 10448, 6006, 547, 13148, 11273, 610, 15605, 1247, 11179, 28817, 269, 5685, 880, 1055, 609, 7423, 267, 533, 1301, 525, 534, 10381, 267, 543, 1022, 9053, 23937, 971, 607, 17228, 267, 17112, 267, 610, 20544, 269, 5548, 5534, 2439, 310, 1905, 5455, 912, 3086, 602, 596, 917, 1896, 2081, 547, 5965, 610, 15605, 267, 4161, 3054, 547, 1711, 2189, 6980, 1210, 1142, 4480, 269, 5213, 1405, 7340, 547, 2671, 707, 13144, 609, 1920, 543, 2828, 256, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 523, 8949, 10346, 585, 7674, 2898, 10568, 535, 639, 650, 328, 610, 4232, 7236, 18437, 267, 609, 513, 2647, 3099, 540, 14312, 543, 17705, 9311, 9323, 269, 31204, 4019, 8449, 1134, 547, 1875, 19351, 1961, 10568, 2250, 553, 563, 289, 13154, 543, 22648, 568, 513, 5929, 1426, 4999, 543, 519, 1079, 666, 581, 5916, 547, 8949, 1198, 538, 513, 1390, 1082, 1114, 2081, 269, 901, 2985, 5654, 693, 476, 1015, 32263, 2081, 538, 799, 547, 9192, 1394, 28019, 609, 3043, 22648, 563, 300, 7236, 3574, 25190, 517, 533, 625, 5423, 1614, 1114, 2081, 543, 6220, 476, 1015, 8949, 30836, 10346, 269, 22291, 11617, 10694, 543, 13267, 7674, 10372, 563, 27288, 979, 846, 6089, 568, 13035, 267, 5779, 344, 267, 543, 11212, 17705, 269, 1306, 1134, 607, 8108, 513, 32263, 1292, 1576, 267, 621, 568, 849, 11613, 8949, 593, 513, 26889, 269, 901, 2985, 2934, 476, 1015, 3312, 2093, 585, 8600, 513, 3552, 979, 846, 26889, 563, 303, 515, 9586, 568, 513, 7646, 7657, 10696, 3552, 3014, 6177, 602, 666, 581, 11273, 538, 513, 1390, 1082, 1114, 2081, 269, 901, 2985, 5654, 693, 476, 1015, 1360, 1114, 267, 17705, 10346, 585, 5986, 909, 543, 7674, 891, 6089, 2083, 7410, 563, 307, 523, 8949, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7775, 15605, 18181, 10613, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 12815, 320, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 661, 330, 874, 2858, 545, 17826, 910, 20780, 532, 3203, 547, 5020, 998, 9293, 692, 5970, 596, 2479, 6743, 693, 513, 4062, 540, 11247, 543, 5433, 6273, 547, 2328, 827, 621, 286, 2107, 723, 596, 1224, 513, 6648, 602, 1500, 596, 1294, 513, 7206, 610, 17001, 538, 513, 2898, 1007, 1769, 286, 1403, 865, 267, 1287, 596, 4312, 2907, 4810, 552, 330, 874, 6652, 529, 2439, 292, 330, 874, 6652, 529, 630, 29455, 552, 1188, 6363, 6938, 312, 1606, 529, 264, 568, 513, 1826, 540, 6965, 1141, 519, 5856, 5932, 513, 12667, 6609, 540, 513, 960, 540, 1148, 267, 971, 607, 513, 7206, 267, 8523, 267, 610, 1256, 513, 5152, 269, 901, 5339, 3926, 4422, 782, 519, 1259, 1394, 547, 3504, 10255, 267, 950, 15023, 1131, 2328, 18627, 9299, 2358, 4583, 1568, 540, 1148, 269, 1635, 1210, 10855, 1893, 543, 10444, 3877, 267, 891, 5830, 6322, 547, 3142, 519, 1148, 547, 1272, 543, 948, 741, 3988, 4952, 621, 607, 952, 789, 941, 7487, 621, 2933, 780, 4131, 781 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 263, 5141, 2216, 264, 4569, 948, 1107, 4896, 286, 16797, 2656, 2439, 14006, 539, 476, 276, 1296, 3516, 538, 634, 700, 1735, 613, 454, 8070, 1948, 476, 275, 454, 300, 1897, 454, 15647, 272, 9708, 454, 289, 18443, 13520, 454, 1892, 11205, 3429, 281, 4873, 476, 1001, 272, 692, 320, 568, 2953, 692, 8070, 1948, 476, 276, 454, 300, 1897, 454, 276, 2537, 9708, 454, 289, 639, 344, 13520, 454, 1892, 11205, 3429, 281, 4728, 476, 1001, 274, 910, 11910, 534, 342, 1245, 324, 20963, 8551, 4741, 692, 5575, 596, 991, 547, 3313, 1018, 519, 2418, 540, 1535, 543, 586, 616, 780, 343, 266, 277, 344, 284, 2420, 4061, 1535, 284, 2420, 268, 277, 344, 692, 303, 29888, 602, 1394, 883, 519, 1101, 3830, 281, 476, 276, 263, 2420, 268, 277, 344, 11924, 275, 344, 284, 3953, 692, 24169, 585, 586, 912, 8099, 268, 1789, 344, 266, 275, 344, 284, 3953, 454, 8099, 268, 2918, 344, 284, 3953, 454, 4281, 284, 2918, 344, 454, 274, 284, 344, 630, 6767, 529, 903, 2020, 8196, 586, 547, 4194, 585, 1535, 281, 1535, 284, 275, 269, 630, 549, 4513, 2020, 13425, 707, 960, 1210, 519, 824, 3830, 269, 634, 2626, 568, 1287, 589, 692, 8070, 1948, 476, 278, 454, 300, 1897, 454, 276, 2918, 9708, 454, 289, 639, 344, 13520, 692, 2791, 4941, 547, 917, 519, 1184, 269, 1109, 3371, 621, 568, 1384, 2791, 723, 1079, 4834, 1384, 276, 343, 266, 275, 344, 284, 3953, 692, 343, 266, 277, 344, 284, 2420, 692, 2171, 1631, 917, 602, 1535, 284, 2420, 268, 277, 344, 780, 27802, 3482, 602, 538, 609, 707, 1101, 3830, 1384, 276, 263, 2420, 268, 277, 344, 11924, 275, 344, 284, 3953, 692, 8099, 268, 1789, 344, 266, 275, 344, 284, 3953, 692, 8099, 268, 2918, 344, 284, 3953, 692, 8099, 268, 8099, 268, 2918, 344, 284, 3953, 268, 8099, 692, 268, 2918, 344, 15871, 4281, 692, 344, 284, 274, 692, 8070, 1948, 476, 1015, 454, 300, 1897, 454, 276, 2918, 9708, 454, 289, 639, 344, 13520, 692, 287, 701, 778, 29403, 281, 1109, 1109, 10498, 267, 594, 6557, 711, 476, 1911, 260, 593, 713, 835, 269, 1109, 594, 979, 690, 1194, 519, 2979, 1966, 547, 1265, 519, 6516, 267, 2094, 594, 1589, 713, 568, 2965, 2731, 1271, 780, 2171, 917, 519, 9386, 28812, 476, 273, 270, 274, 269, 1109, 2334, 1797, 593, 513, 3113, 267, 621, 786, 581, 476, 273, 909, 543, 476, 274, 936, 269, 1109, 1403, 519, 4463, 540, 476, 273, 2798, 568, 476, 277, 3952, 267, 1287, 519, 3259, 1063, 1142, 1448, 1590, 581, 476, 274, 3952, 269, 1109, 1924, 952, 519, 3259, 519, 3440, 18202, 568, 1614, 2798, 267, 519, 3259, 1590, 581, 476, 280, 3952, 780, 28989, 1107, 594, 7012, 1406, 1390, 693, 24275, 543, 1210, 9386, 547, 4194, 2042, 8627, 1109, 594, 6557, 9425, 2386, 602, 713, 568, 519, 1318, 2626, 267, 855, 594, 6557, 2386, 972, 568, 513, 1732, 1259, 547, 1265, 621, 256, 2439, 8070, 1948, 476, 1556, 454, 300, 1897, 454, 27244, 276, 9708, 454, 306, 13610, 13520, 454, 1892, 11205, 3429, 281, 5181, 476, 1001, 273, 692, 287, 701, 778, 29403, 281, 1109, 1280, 519, 12902, 3440, 1966, 267, 596, 2461, 2469, 547, 1616, 547, 946, 519, 3830, 585, 513, 1899, 1384, 344, 815, 544, 343, 1341, 536, 1109, 1141, 544, 568, 519, 9386, 540, 519, 1899, 630, 273, 270, 274, 264, 543, 536, 568, 1141, 519, 1899, 12969, 338, 519, 586, 14289, 780, 2171, 786, 8263, 602, 536, 815, 476, 271, 2094, 621, 2731, 3085, 1406, 2339, 1141, 4010, 519, 1899, 12969, 338, 519, 586, 14289, 269, 1109, 1284, 616, 3168, 585, 513, 18232, 270, 4219, 543, 711, 1808, 10974, 269, 1109, 6496, 602, 1118, 2631, 2496, 3383, 1631, 596, 723, 513, 17681, 3830, 540, 1384, 344, 815, 630, 273, 270, 274, 12684, 343, 692, 2791, 917, 586, 693, 476, 273, 2798, 630, 1015, 543, 476, 275, 264, 543, 1631, 596, 1175, 991, 547, 1265, 519, 1535, 4087, 585, 1346, 476, 273, 2798, 630, 343, 272, 543, 1535, 273, 6393, 1015, 815, 630, 273, 270, 274, 264, 2608, 1535, 272, 476, 3396, 543, 3396, 1741, 476, 275, 815, 630, 273, 270, 274, 264, 2608, 1535, 273, 692, 343, 272, 815, 476, 1428, 18987, 7673, 3396, 1535, 273, 815, 476, 277, 692, 2414, 4137, 856, 875, 2484, 519, 3440, 814, 18202, 23276, 2059, 519, 1535, 267, 596, 1175, 1265, 519, 3017, 1063, 1535, 272, 543, 1535, 273, 780, 343, 272, 1107, 1535, 273, 815, 476, 280, 269, 1109, 1924, 519, 2626, 568, 536, 780, 2791, 1810, 1406, 991, 547, 2721, 519, 3113, 267, 855, 621, 1522, 849, 581, 6225, 547, 2721, 621, 856, 607, 32275, 3333, 22324, 321, 31708, 1705, 1175, 547, 1205, 513, 3308, 269, 1109, 1717, 267, 596, 1810, 1406, 1616, 547, 7048, 593, 28321, 4805, 269, 1109, 898, 1568, 23182, 538, 713, 1966, 267, 855, 621, 4465, 1406, 2141, 780, 763, 1888, 2048, 13043, 948, 1107, 4896, 286, 16797, 2656, 256, 685, 568, 6806, 547, 1007, 30491, 780, 8340, 29055, 966, 754, 832, 0, 260, 3901, 15003, 538, 1467, 692, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 1623, 6853, 1104, 27661, 8181, 318, 2745, 532, 3890, 4449, 1363, 1948, 2636, 8228, 540, 6641, 13695, 2164, 538, 2010, 564, 13004, 3898, 454, 10823, 269, 21683, 13640, 4461, 269, 26303, 20719, 262, 325, 2632, 25915, 9166, 476, 1626, 16585, 476, 1948, 1305, 13944, 2450, 585, 13602, 7531, 258, 476, 274, 16949, 676, 18839, 543, 2048, 2421, 2694, 9957, 7756, 2747, 543, 519, 2274, 30519, 714, 4542, 269, 3171, 2106, 2006, 779, 2048, 307, 4459, 685, 258, 692, 1012, 476, 274, 269, 272, 7581, 591, 18839, 666, 948, 547, 4194, 606, 7533, 258, 692, 2005, 949, 2408, 693, 1101, 602, 952, 606, 7533, 568, 711, 538, 513, 3044, 1106, 1287, 621, 3112, 581, 12193, 910, 711, 865, 256, 634, 3483, 540, 18839, 568, 547, 6460, 519, 7533, 883, 513, 3044, 543, 4061, 12863, 1106, 4171, 3070, 568, 1634, 269, 19805, 513, 18839, 568, 2864, 606, 1148, 543, 930, 4693, 543, 5470, 568, 2356, 2838, 269, 1717, 267, 1175, 607, 538, 11176, 267, 513, 15931, 18839, 666, 3132, 519, 2838, 1267, 780, 2467, 616, 1614, 2694, 547, 519, 1505, 267, 799, 786, 581, 11609, 609, 6695, 6234, 315, 842, 1422, 7562, 317, 273, 3287, 9385, 6523, 3287, 264, 11459, 29634, 11377, 15153, 2330, 263, 272, 264, 7827, 513, 1950, 4082, 538, 3230, 343, 2330, 883, 513, 12863, 835, 538, 1776, 4756, 3230, 340, 2330, 676, 513, 18839, 10484, 11377, 29911, 2330, 1280, 1383, 267, 6695, 7562, 317, 273, 3287, 9385, 6523, 3287, 14638, 568, 16866, 609, 3230, 340, 815, 1422, 6523, 3287, 14638, 547, 30967, 272, 910, 579, 317, 273, 264, 340, 29634, 11377, 15153, 2330, 263, 273, 264, 4518, 719, 3230, 11459, 2330, 607, 606, 4082, 538, 3230, 706, 21974, 769, 938, 1383, 267, 3230, 706, 284, 10559, 7562, 3287, 264, 11459, 29634, 11377, 15153, 2330, 263, 274, 264, 7827, 782, 7182, 547, 519, 1007, 4756, 780, 763, 6165, 540, 3230, 706, 2330, 543, 3230, 11459, 2330, 607, 4830, 9988, 538, 2933, 538, 1900, 630, 273, 264, 5526, 547, 581, 1114, 547, 602, 540, 3230, 706, 7933, 343, 18079, 799, 814, 5892, 1044, 1031, 607, 513, 5223, 269, 1717, 267, 621, 568, 3833, 7989, 24777, 547, 946, 3230, 706, 2330, 543, 3230, 11459, 2330, 543, 865, 8521, 593, 741, 1378, 267, 3177, 741, 5223, 1223, 1869, 581, 1500, 676, 22198, 4474, 519, 3830, 780, 2026, 513, 4341, 540, 14853, 609, 7294, 20534, 543, 25482, 7215, 267, 2119, 20534, 543, 25482, 2655, 4801, 269, 1403, 596, 616, 18822, 267, 707, 1101, 7058, 949, 581, 519, 2953, 835, 282, 952, 711, 267, 2119, 1586, 780, 9359, 676, 27378, 602, 519, 18839, 3230, 340, 815, 1422, 6523, 3287, 14638, 1522, 960, 267, 4061, 6695, 6234, 1422, 2765, 346, 706, 2410, 11459, 13157, 10559, 7562, 3287, 14638, 610, 3230, 11459, 15871, 706, 270, 315, 7562, 3287, 14638, 269, 8921, 2655, 23082, 585, 6695, 6523, 3287, 14638, 543, 3230, 11459, 2330, 3947, 692, 7445, 6234, 1422, 842, 1422, 7562, 317, 273, 3287, 9385, 6523, 3287, 264, 11459, 815, 28363, 842, 1422, 7562, 3287, 264, 644, 340, 815, 28363, 842, 1422, 6912, 18950, 272, 910, 579, 317, 273, 14587, 644, 340, 6911, 663, 538, 519, 2063, 1900, 6695, 6523, 317, 273, 3287, 264, 1341, 1422, 7562, 317, 273, 3287, 264, 815, 476, 272, 2330, 729, 1031, 269, 18564, 602, 1100, 5610, 814, 2943, 1044, 5340, 267, 1175, 519, 2655, 4801, 269, 1717, 267, 713, 2063, 7533, 5654, 607, 952, 621, 1522, 581, 2009, 855, 621, 568, 1869, 513, 3787, 7294, 267, 865, 3079, 540, 829, 13367, 532, 621, 568, 4443, 547, 2119, 1586, 543, 1294, 952, 513, 1732, 1267, 568, 2009, 269, 1411, 666, 2141, 2132, 547, 713, 1267, 952, 2556, 269, 1306, 513, 2034, 2119, 267, 12990, 3230, 340, 815, 1422, 7562, 3287, 14638, 543, 1287, 3230, 706, 815, 1422, 6523, 3287, 264, 11459, 2330, 543, 713, 7140, 856, 547, 581, 2484, 12863, 1384, 7445, 6234, 1422, 842, 315, 7562, 317, 273, 3287, 9385, 6523, 3287, 264, 11459, 7807, 842, 579, 317, 274, 706, 7807, 2765, 346, 340, 317, 274, 2410, 274, 18098, 2765, 3189, 7562, 317, 274, 3287, 20972, 274, 10592, 8794, 519, 1318, 268, 22931, 6906, 621, 568, 2009, 547, 12990, 25066, 3252, 585, 15821, 3283, 543, 13030, 17930, 269, 634, 12730, 543, 741, 7222, 4645, 3347, 616, 3254, 538, 3349, 476, 272, 780, 13706, 519, 7533, 6695, 6234, 1422, 842, 1422, 2765, 12757, 317, 273, 7346, 6912, 346, 275, 14870, 317, 273, 3686, 11459, 21974, 634, 18839, 6695, 11927, 7268, 9064, 6661, 343, 270, 315, 6912, 21151, 317, 273, 14870, 317, 273, 6525, 609, 3230, 320, 284, 273, 2330, 568, 13267, 269, 1717, 267, 950, 21630, 547, 12990, 3230, 323, 24592, 2330, 585, 3230, 11459, 2330, 621, 7472, 513, 29695, 1267, 269, 8347, 532, 6695, 6523, 7268, 9064, 21174, 6912, 346, 476, 273, 317, 273, 14870, 317, 273, 348, 270, 273, 2330, 3079, 18327, 547, 581, 513, 1434, 4358, 1747, 1317, 950, 21630, 3230, 323, 24592, 2330, 7472, 513, 23483, 4009, 3597, 602, 666, 26118, 609, 602, 538, 519, 7533, 269, 7756, 11868, 3947, 3230, 273, 315, 7562, 7268, 9064, 264, 323, 24592, 815, 1535, 270, 315, 6912, 346, 275, 910, 1535, 317, 273, 348, 11459, 2330, 4657, 519, 7533, 883, 692, 7445, 6234, 476, 273, 315, 842, 315, 7562, 3287, 32589, 323, 24592, 815, 275, 315, 842, 315, 7562, 7268, 9064, 9385, 6912, 346, 272, 10559, 6523, 317, 273, 7268, 9064, 14587, 546, 24592, 284, 275, 315, 842, 315, 7562, 317, 273, 7268, 9064, 264, 323, 24592, 6911, 1607, 568, 1631, 513, 3044, 1106, 543, 666, 581, 10736, 547, 606, 12825, 1106, 630, 528, 6743, 909, 538, 8791, 476, 275, 269, 273, 269, 1724, 264, 543, 1287, 10736, 1394, 547, 3230, 343, 2330, 1210, 4645, 3252, 780, 259, 275, 315, 842, 315, 7562, 317, 273, 7268, 9064, 264, 323, 24592, 815, 476, 273, 24592, 910, 273, 315, 7562, 7268, 9064, 9385, 6523, 7268, 9064, 11924, 322, 284, 273, 315, 7562, 13064, 272, 4153, 3847, 7268, 2765, 12757, 2410, 273, 4153, 2431, 9984, 315, 2765, 12757, 2410, 273, 4153, 6912, 346, 275, 14870, 317, 273, 15396, 322, 6911, 1012, 476, 274, 269, 273, 7305, 476, 272, 17832, 12596, 258, 692, 7445, 8218, 346, 20889, 4153, 6234, 1422, 8218, 15204, 2410, 331, 347, 331, 347, 331, 348, 1422, 327, 1467, 1422, 6234, 1422, 7562, 7268, 9064, 21174, 2765, 12757, 2410, 320, 348, 1299, 1422, 6234, 1422, 7562, 7268, 9064, 21174, 2765, 3189, 6912, 12757, 317, 273, 8584, 317, 273, 12453, 343, 348, 1299, 1422, 6234, 1422, 7562, 7268, 9064, 21174, 2765, 12757, 7346, 6912, 12757, 317, 273, 266, 320, 317, 273, 3686, 8607, 1422, 6234, 1422, 6523, 7268, 9064, 21174, 2765, 3189, 6912, 12757, 317, 273, 8584, 317, 273, 12453, 320, 348, 1299, 1422, 6234, 1422, 6523, 7268, 9064, 21174, 2765, 21151, 2410, 343, 348, 1299, 315, 6234, 1422, 6523, 7268, 9064, 21174, 2765, 21151, 7346, 6912, 21151, 317, 273, 21147, 317, 273, 3686, 8607, 1422, 6234, 1422, 11927, 7268, 9064, 21174, 2765, 12757, 7346, 6912, 21151, 317, 273, 14870, 317, 273, 3686, 1299, 315, 6234, 1422, 11927, 7268, 9064, 21174, 2765, 3189, 6912, 12757, 317, 273, 8584, 317, 273, 12453, 320, 31905, 315, 6234, 1422, 11927, 7268, 9064, 21174, 2765, 12757, 2410, 320, 348 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 568, 1100, 1808, 12319, 540, 14780, 779, 2669, 269, 4340, 547, 10828, 267, 14780, 729, 759, 584, 5550, 539, 269, 4014, 519, 6381, 616, 10169, 7294, 267, 543, 621, 1223, 723, 1079, 1114, 2035, 540, 24446, 543, 2669, 269, 1261, 729, 513, 6305, 1998, 5601, 282, 2705, 267, 646, 729, 513, 4622, 945, 8057, 2025, 269, 16270, 1010, 2669, 267, 646, 2968, 519, 18678, 14610, 540, 519, 30723, 267, 543, 646, 28815, 2669, 1169, 3781, 543, 729, 6450, 1941, 1169, 6640, 269, 0, 3528, 30621, 1107, 6103, 476, 276, 454, 305, 3578, 729, 4535, 538, 476, 3707, 273, 267, 538, 513, 3484, 5264, 602, 1185, 1044, 3710, 676, 1200, 1390, 22594, 538, 476, 5908, 280, 269, 2701, 729, 519, 8772, 5108, 547, 2661, 538, 519, 3484, 5264, 563, 2691, 25288, 729, 476, 276, 1296, 2025, 1352, 3323, 547, 798, 26050, 1472, 519, 3484, 269, 4107, 540, 1200, 6009, 941, 3330, 267, 899, 7738, 519, 2777, 267, 5986, 543, 1818, 15135, 269, 2701, 849, 4121, 875, 547, 18055, 267, 1317, 519, 1920, 1500, 741, 1378, 7802, 267, 543, 849, 30465, 741, 1378, 7802, 950, 621, 729, 14324, 610, 12816, 856, 563, 8253, 782, 540, 1200, 6009, 941, 3330, 1498, 269, 2701, 1705, 513, 2370, 3787, 540, 5144, 532, 519, 16933, 269, 634, 824, 3484, 2831, 3769, 827, 476, 1015, 268, 1321, 14918, 267, 476, 274, 9640, 267, 543, 476, 1911, 17944, 267, 543, 789, 782, 1185, 547, 581, 3144, 1416, 540, 563, 305, 3578, 543, 519, 824, 1453, 5280, 856, 609, 16276, 1932, 269, 634, 1453, 1131, 1491, 741, 7504, 6537, 530, 6782, 543, 4452, 519, 7031, 602, 741, 667, 611, 1185, 19122, 269, 4595, 25288, 1185, 3323, 782, 540, 713, 960, 865, 1762, 267, 1200, 1920, 795, 12097, 602, 1352, 1185, 4121, 547, 3802, 538, 513, 15837, 15429, 2336, 7212, 519, 3484, 1185, 1044, 2250, 1524, 689, 5108, 547, 5108, 267, 950, 25288, 729, 476, 1240, 1352, 6410, 2476, 1310, 3478, 9310, 269, 4653, 25288, 4413, 525, 519, 3484, 1272, 267, 1317, 519, 3484, 568, 1100, 3476, 968, 514, 519, 1920, 6100, 25288, 779, 4651, 4956, 547, 6133, 519, 3484, 267, 1317, 782, 540, 1010, 1453, 941, 1932, 11112, 609, 865, 1082, 824, 6009, 269, 0, 20082, 281, 634, 18735, 540, 3593, 24378, 1543, 593, 1514, 2923, 814, 1500, 6644, 5599, 606, 818, 706, 748, 2816, 269, 1306, 513, 2890, 24108, 3101, 3760, 267, 12108, 568, 1373, 1031, 547, 2445, 5784, 827, 2472, 267, 3466, 267, 543, 6214, 269, 13329, 2939, 2079, 568, 513, 4480, 1031, 547, 5659, 519, 10182, 267, 4664, 543, 8369, 540, 1114, 1004, 2509, 4376, 267, 543, 621, 666, 581, 5645, 856, 593, 17408, 1115, 547, 5659, 1857, 6644, 593, 3377, 267, 4507, 267, 1514, 5322, 267, 543, 14789, 269, 1635, 14139, 10724, 4804, 3631, 267, 6644, 5599, 666, 581, 5340, 1510, 2542, 17408, 1115, 16924, 269, 4256, 2164, 1223, 4217, 6608, 543, 4213, 538, 12902, 856, 4507, 267, 2472, 267, 543, 2621, 269, 18599, 10724, 4804, 3631, 616, 8045, 585, 7553, 6284, 676, 1362, 4328, 17408, 1115, 607, 6126, 610, 29043, 269, 2060, 606, 538, 3829, 13354, 2773, 2079, 267, 621, 729, 4767, 602, 6069, 13359, 29976, 630, 28384, 4149, 31270, 264, 609, 570, 293, 268, 2839, 293, 7472, 519, 1034, 6099, 1267, 609, 476, 8064, 260, 6111, 543, 476, 10037, 260, 674, 272, 6060, 269, 1677, 2417, 19472, 6617, 540, 519, 6069, 1935, 593, 1079, 811, 14449, 267, 835, 9352, 543, 824, 3818, 11665, 10471, 543, 6913, 7347, 2164, 563, 21292, 281, 9049, 13329, 2939, 2079, 267, 1257, 8760, 267, 3684, 1565, 267, 6644, 5599, 267, 7553, 973, 690, 6873, 267, 5841, 4987, 563, 347, 20396, 281, 476, 1015, 269, 14378, 4366, 270, 296, 297, 2752, 290, 4753, 269, 1708, 273, 269, 14625, 7761, 0, 6624, 3237, 4043, 547, 581, 5360, 8809, 543, 711, 2628, 2614, 3007, 547, 1142, 540, 741, 1126, 779, 11095, 19325, 269, 901, 12161, 5012, 547, 741, 1126, 779, 4463, 711, 8757, 519, 3044, 267, 4611, 538, 2110, 588, 1155, 267, 14968, 267, 543, 606, 2810, 7678, 540, 8377, 269, 769, 2221, 779, 2376, 267, 1577, 779, 2263, 875, 547, 3895, 4463, 1646, 585, 476, 275, 4458, 6040, 1453, 1927, 609, 2333, 19417, 24108, 2593, 563, 24092, 27551, 543, 13379, 12763, 906, 585, 476, 275, 268, 17413, 14114, 671, 338, 454, 6097, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 3044, 4463, 543, 2597, 585, 476, 275, 4458, 6040, 8695, 543, 6690, 666, 4268, 1759, 593, 2188, 971, 607, 11976, 267, 4008, 267, 6484, 267, 543, 2168, 2534, 2157, 269, 2201, 3328, 267, 519, 3044, 4463, 585, 476, 275, 4458, 6040, 8695, 568, 1472, 476, 4375, 269, 279, 6279, 630, 6200, 9492, 1070, 1247, 585, 6690, 267, 621, 568, 5111, 476, 4375, 269, 275, 6279, 630, 1911, 9492, 1040, 1306, 585, 2597, 267, 519, 3328, 3044, 2597, 585, 476, 275, 4458, 6040, 8695, 568, 827, 476, 3607, 269, 273, 6550, 630, 1626, 269, 275, 11899, 1070, 543, 585, 6690, 267, 621, 568, 1472, 476, 4097, 269, 273, 6550, 630, 1428, 269, 276, 11899, 1916, 2005, 779, 1898, 547, 4063, 602, 891, 616, 2489, 4441, 267, 543, 519, 7403, 949, 4268, 5594, 4470, 593, 519, 2197, 267, 3148, 267, 543, 5007, 2188, 269, 2368, 1453, 949, 581, 26339, 610, 18219, 982, 519, 3044, 7403, 267, 1247, 1866, 1522, 581, 4130, 610, 14402, 269, 1452, 3604, 666, 581, 6766, 676, 1585, 2188, 267, 1519, 11976, 267, 2949, 1072, 267, 543, 2825, 2175, 269, 14268, 1058, 3343, 5796, 689, 6484, 4966, 543, 12963, 2103, 547, 948, 1453, 2226, 513, 7123, 543, 2635, 2168, 1533, 267, 14123, 3102, 2168, 543, 5042, 1646, 563, 26502, 18748, 532, 519, 27551, 540, 476, 275, 268, 17413, 14114, 671, 5753, 454, 6097, 547, 3621, 1382, 593, 2168, 1646, 267, 2523, 4463, 1646, 538, 3425, 267, 972, 616, 1585, 2188, 12018, 713, 2208, 838, 4669, 267, 971, 607, 11976, 267, 6484, 267, 1604, 267, 543, 6197, 6208, 563, 3891, 697, 1646, 568, 513, 2629, 2460, 540, 513, 1126, 779, 2208, 543, 1646, 269, 18726, 2188, 1404, 513, 1713, 1909, 267, 8051, 585, 5111, 476, 2537, 260, 540, 8159, 513, 1126, 779, 4463, 269, 9122, 593, 519, 4463, 540, 519, 3237, 543, 824, 1920, 2818, 267, 621, 568, 2009, 547, 3589, 519, 2104, 4463, 540, 519, 1126, 269, 2368, 12596, 602, 666, 581, 4294, 547, 5173, 519, 3328, 4463, 1759, 593, 519, 4719, 18472, 540, 519, 3237, 616, 607, 5205, 912, 3891, 697, 540, 8695, 815, 16733, 15948, 779, 4463, 1341, 476, 276, 269, 280, 10759, 630, 1428, 9492, 4297, 1341, 4651, 779, 4463, 264, 1315, 476, 273, 454, 3891, 697, 540, 6690, 815, 16733, 15289, 779, 4463, 1107, 476, 276, 269, 280, 10759, 630, 1428, 9492, 4297, 1341, 3993, 779, 4463, 264, 1315, 476, 273, 454, 4913, 267, 11976, 568, 711, 519, 6852, 24572, 540, 513, 1268, 779, 2104, 4463, 269, 3509, 2665, 4125, 10156, 3237, 855, 7381, 1453, 1813, 547, 2242, 543, 10659, 540, 824, 2208, 2188, 269, 17957, 267, 26339, 3237, 949, 723, 10156, 1453, 952, 513, 1697, 543, 23963, 9709, 6484, 267, 6197, 267, 543, 3635, 6296, 616, 711, 8045, 563, 13436, 547, 11976, 267, 2732, 568, 849, 2808, 835, 540, 519, 1034, 3532, 2188, 12018, 4463, 267, 8051, 585, 5111, 476, 3953, 10065, 2672, 2310, 6484, 568, 1898, 585, 2635, 2208, 543, 1646, 267, 607, 9422, 19518, 666, 1291, 547, 22926, 543, 25224, 532, 269, 5689, 19256, 267, 2523, 1282, 519, 2038, 1296, 540, 1272, 267, 666, 3648, 1764, 513, 1126, 779, 4463, 269, 589, 2732, 15877, 1898, 5567, 971, 607, 5946, 267, 8324, 267, 543, 6886, 666, 21391, 2208, 543, 1646, 269, 2201, 519, 824, 1688, 267, 513, 7059, 2732, 602, 2882, 606, 7850, 2179, 540, 1898, 5567, 666, 3895, 2635, 2208, 543, 1646, 563, 763, 4763, 540, 1426, 2516, 538, 3232, 6980, 4249, 513, 2629, 1909, 538, 3246, 12905, 543, 6225, 5567, 543, 8324, 585, 519, 1560, 779, 10894, 3157, 269, 26451, 1426, 2516, 5627, 2609, 971, 607, 20566, 267, 3940, 267, 8324, 267, 543, 6886, 568, 4105, 269, 13966, 2515, 513, 1134, 25454, 2732, 267, 6712, 1852, 543, 3892, 540, 6980, 849, 3565, 547, 5642, 561, 1263, 28517, 267, 609, 1614, 1292, 6980, 543, 1079, 16152, 269, 3680, 532, 519, 4616, 540, 3536, 5739, 547, 4463, 543, 1072, 568, 849, 1271, 563, 763, 1604, 538, 799, 513, 1126, 9428, 909, 666, 849, 3310, 741, 4463, 1646, 269, 7025, 2188, 602, 2097, 883, 3346, 609, 519, 1480, 1560, 267, 971, 607, 2011, 267, 1216, 267, 3037, 267, 5070, 267, 6846, 267, 3092, 1421, 666, 1764, 2208, 269, 7025, 13802, 267, 971, 607, 1291, 543, 16035, 267, 666, 17225, 2208, 543, 1646, 269, 5753, 2713, 538, 3810, 26130, 2127, 949, 581, 811, 11630, 547, 25224, 532, 267, 22926, 267, 543, 5312, 3676, 3379, 547, 1346, 538, 811, 4998, 2825, 2175, 563, 13010, 267, 1453, 2713, 538, 791, 1478, 1639, 2175, 609, 16283, 6484, 585, 10894, 3157, 949, 1995, 18604, 12046, 543, 616, 811, 12155, 547, 9667, 543, 7929, 5829, 10108, 269, 901, 7494, 5540, 519, 2067, 2208, 1184, 540, 741, 4703, 269, 2201, 519, 824, 1688, 267, 952, 1453, 616, 6659, 538, 791, 1478, 1639, 5054, 1510, 1569, 547, 3102, 3782, 2533, 267, 621, 849, 5540, 741, 2208, 543, 1646, 563, 26199, 18467, 547, 21561, 27551, 585, 476, 275, 268, 17413, 14114, 671, 338, 454, 19102, 2084, 4463, 568, 513, 6161, 585, 1082, 3237, 267, 543, 972, 616, 1896, 23963, 8810, 2409, 547, 948, 1453, 1332, 26339, 269, 1452, 2409, 1331, 8192, 2242, 267, 4180, 7850, 2168, 2534, 267, 7110, 532, 609, 5144, 543, 6198, 3536, 269, 2913, 779, 2263, 1142, 1505, 538, 1469, 609, 11705, 677, 718, 518, 14492, 563, 25911, 2331, 10791, 585, 27551, 21561, 538, 476, 275, 268, 17413, 14114, 671, 338, 454, 288, 7059, 2732, 609, 6190, 3940, 267, 8324, 267, 543, 6886, 568, 1898, 585, 2635, 1646, 269, 19871, 568, 3226, 1271, 607, 621, 22262, 2208, 543, 5160, 7816, 538, 519, 1560, 269, 6153, 2959, 540, 3940, 1331, 10709, 5779, 267, 3165, 267, 5798, 267, 10683, 2472, 267, 543, 22053, 269, 3958, 267, 3536, 3638, 538, 7513, 267, 971, 607, 5144, 267, 10381, 267, 543, 18506, 267, 666, 1489, 2178, 5642, 1646, 563, 2414, 1711, 513, 4463, 28967, 24031, 2732, 585, 707, 476, 275, 4458, 6040, 267, 1445, 593, 3246, 513, 3099, 540, 8770, 11656, 3536, 269, 11559, 707, 1126, 547, 8532, 513, 2647, 2039, 540, 5613, 543, 5388, 267, 2898, 9274, 267, 10709, 5946, 267, 543, 10683, 2472, 269, 3550, 519, 2732, 2882, 2959, 540, 7513, 267, 6171, 667, 267, 543, 824, 1898, 5567, 269, 3680, 9268, 543, 24494, 3536, 267, 607, 789, 1683, 2370, 9422, 1871, 543, 666, 17225, 2635, 2208, 543, 1646, 563, 16498, 11314, 21480, 454, 1103, 1840, 547, 8192, 2242, 267, 4180, 7850, 2168, 2534, 568, 2629, 585, 5009, 2635, 2208, 543, 1646, 269, 8617, 3635, 666, 12954, 519, 2504, 540, 2208, 10399, 267, 799, 616, 4105, 585, 2949, 1134, 5630, 269, 11559, 707, 1126, 547, 4497, 538, 2834, 2168, 2238, 971, 607, 4881, 267, 10977, 267, 543, 15198, 5751, 269, 4643, 585, 693, 2547, 476, 1015, 1107, 476, 736, 3764, 540, 2168, 2534, 1142, 1554, 269, 1306, 476, 275, 4458, 29419, 616, 6923, 22488, 543, 949, 1265, 621, 4101, 547, 1445, 593, 11295, 3635, 267, 3237, 991, 547, 581, 3461, 543, 3442, 8465, 543, 2502, 2168, 2238, 269, 1280, 1383, 267, 6451, 2168, 3756, 267, 3635, 1927, 609, 707, 1126, 267, 1683, 19015, 267, 543, 8007, 873, 609, 1507, 13000, 585, 5812, 4674, 563, 17730, 513, 15904, 8430, 666, 581, 6225, 538, 4180, 602, 707, 1126, 814, 2614, 2168, 2534, 1169, 1554, 269, 6333, 20319, 3635, 7886, 543, 7850, 1964, 543, 11005, 267, 9319, 7050, 1164, 27233, 23736, 269, 4438, 519, 3635, 267, 2628, 3007, 547, 3106, 3800, 971, 607, 3636, 13522, 267, 5078, 3635, 6753, 267, 543, 8825, 10591, 563, 11045, 2211, 532, 22447, 585, 27551, 21561, 538, 476, 275, 268, 17413, 14114, 671, 338, 454, 11045, 2211, 532, 5144, 666, 849, 948, 12954, 2635, 2208, 543, 1646, 538, 1762, 1453, 269, 22447, 568, 513, 3638, 2707, 540, 7513, 267, 6171, 667, 267, 543, 824, 1898, 6886, 267, 799, 616, 4105, 585, 2178, 5642, 1646, 563, 5278, 2090, 2303, 602, 1453, 945, 8532, 5144, 5781, 949, 1332, 26339, 982, 1346, 945, 798, 711, 269, 1717, 267, 621, 779, 1898, 547, 4063, 602, 5144, 568, 711, 513, 9589, 3070, 585 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17686, 10402, 568, 513, 3940, 602, 2488, 2497, 547, 1454, 540, 707, 1560, 267, 1519, 707, 7633, 267, 2960, 267, 28844, 267, 543, 28587, 563, 2005, 568, 519, 2101, 5057, 540, 24561, 8031, 602, 1118, 909, 1896, 1560, 2694, 267, 1519, 28844, 267, 28587, 267, 2960, 267, 543, 6091, 563, 3963, 596, 723, 547, 1491, 1169, 1554, 15017, 17686, 10402, 2306, 909, 476, 4037, 260, 540, 519, 3819, 2597, 540, 707, 2960, 547, 1832, 621, 811, 13412, 563, 2026, 649, 2085, 267, 938, 4703, 6923, 1376, 4227, 20018, 2504, 1018, 568, 519, 2601, 602, 707, 2960, 779, 6418, 4494, 19380, 20018, 543, 3587, 1447, 1139, 548, 543, 811, 7925, 547, 3441, 563, 2690, 707, 7633, 454, 2690, 7633, 547, 581, 2178, 543, 2635, 267, 596, 991, 547, 2226, 513, 2635, 1377, 540, 645, 13270, 269, 15845, 5267, 602, 20018, 30902, 666, 5818, 7513, 10338, 267, 2087, 5642, 7777, 5860, 543, 2226, 5642, 4222, 563, 2690, 707, 2295, 454, 2691, 10057, 5781, 585, 3670, 3275, 267, 20018, 2468, 701, 32644, 5280, 2087, 8501, 2157, 543, 4389, 824, 1981, 2188, 585, 19473, 29912, 630, 14551, 2287, 540, 519, 16209, 994, 3963, 8869, 1106, 540, 20018, 568, 519, 1655, 286, 0, 306, 7739, 1464, 538, 519, 7286, 2872, 568, 25015, 6140, 2404, 609, 519, 3390, 540, 1210, 8093, 10173, 269, 7756, 2518, 1382, 543, 1646, 3785, 616, 2324, 593, 15175, 6077, 781, 27668, 1949, 547, 4559, 602, 2196, 593, 7791, 1648, 269, 634, 5767, 3077, 1305, 676, 519, 4139, 31845, 9257, 2882, 519, 5786, 540, 5434, 676, 476, 2004, 260, 2394, 476, 13078, 271, 267, 538, 6476, 547, 519, 5434, 538, 476, 1220, 279, 269, 634, 7286, 3560, 5434, 540, 12971, 343, 543, 14298, 343, 2099, 476, 1428, 543, 476, 1724, 260, 540, 519, 2518, 2698, 563, 1103, 938, 2063, 2022, 649, 5941, 519, 1114, 3646, 267, 1247, 2221, 649, 616, 2469, 547, 5905, 811, 2390, 7250, 267, 20342, 543, 8715, 12935, 607, 4492, 269, 13966, 2515, 6928, 1374, 267, 15175, 547, 7791, 10173, 568, 519, 1034, 26688, 1259, 547, 2759, 2910, 273, 5434, 563, 763, 1101, 4492, 649, 786, 5905, 2390, 568, 7250, 269, 1284, 4988, 930, 540, 519, 1292, 4162, 540, 7250, 538, 938, 3105, 2022, 267, 855, 875, 568, 7250, 3812, 286, 634, 1034, 1455, 1259, 568, 14793, 3974, 267, 855, 621, 568, 711, 519, 1034, 5010, 1242, 1259, 269, 7351, 2409, 540, 7250, 2504, 7048, 593, 519, 946, 540, 8093, 10173, 607, 4358, 1570, 269, 1717, 267, 621, 568, 2009, 547, 946, 1216, 543, 4430, 7791, 1648, 607, 4358, 1570, 630, 31282, 518, 267, 476, 1220, 275, 1916, 763, 1292, 1966, 3823, 519, 946, 540, 7250, 607, 4492, 2882, 7250, 4859, 269, 634, 4859, 2409, 4867, 18611, 1331, 19316, 7250, 267, 5277, 7250, 267, 20342, 267, 674, 29531, 1700, 307, 28979, 577, 10523, 1564, 267, 10991, 2067, 3154, 267, 8715, 12935, 267, 1106, 545, 3679, 267, 23599, 5277, 5214, 7250, 19057, 543, 1896, 4396, 15581, 7250, 19057, 630, 309, 534, 14208, 1815, 651, 1696, 620, 1421, 476, 1708, 271, 1916, 763, 4867, 1034, 2919, 543, 4922, 1031, 1505, 547, 4558, 7250, 568, 676, 13496, 269, 12866, 1114, 2010, 540, 4859, 13688, 723, 1044, 2919, 543, 616, 1031, 547, 4558, 7250, 693, 2799, 2604, 267, 689, 476, 1015, 1700, 736, 547, 476, 3583, 631, 11985, 563, 763, 2034, 4492, 649, 786, 5905, 2390, 568, 20342, 563, 8649, 3000, 807, 666, 4196, 1312, 607, 513, 7250, 15298, 11140, 543, 607, 513, 4492, 269, 2549, 3000, 807, 568, 513, 3327, 1863, 3114, 267, 855, 519, 1699, 2504, 540, 7250, 689, 20342, 2501, 689, 9252, 6963, 532, 15655, 269, 901, 1184, 568, 2404, 609, 8511, 9362, 267, 2094, 15655, 568, 513, 8652, 21666, 543, 676, 6721, 7250, 267, 2910, 273, 568, 19501, 607, 1134, 563, 4002, 519, 14669, 267, 20342, 666, 581, 3812, 676, 14793, 3974, 13324, 676, 5710, 1963, 610, 6046, 1648, 269, 667, 301, 309, 2829, 602, 1287, 621, 568, 606, 5140, 2707, 540, 4642, 15041, 2153, 4492, 269, 1717, 267, 713, 1826, 540, 20342, 2504, 568, 711, 2943, 20749, 14323, 563, 300, 996, 12935, 568, 835, 540, 519, 1034, 3812, 6464, 538, 519, 1158, 269, 769, 476, 1001, 276, 811, 982, 476, 3583, 2929, 9748, 540, 8715, 12935, 941, 3812, 11451, 563, 1805, 1681, 8715, 12935, 814, 1896, 2640, 936, 20342, 543, 7250, 269, 29034, 12935, 814, 1970, 17219, 547, 7286, 1272, 543, 621, 666, 581, 6740, 3330, 519, 5595, 26083, 338, 540, 9635, 269, 634, 2539, 17219, 568, 9090, 513, 4324, 585, 519, 2949, 1604, 267, 2094, 519, 21383, 540, 8715, 12935, 1131, 711, 2014, 607, 3573, 2800, 607, 8093, 4492, 20984, 269, 1717, 267, 606, 21677, 568, 602, 8715, 12935, 568, 6353, 607, 513, 1970, 8755, 4812, 4492, 2687, 547, 519, 594, 19616, 269, 634, 8755, 4812, 568, 513, 1448, 693, 799, 7135, 1831, 19979, 543, 23292, 538, 5114, 609, 2011, 563, 2304, 3606, 4183, 540, 8715, 12935, 568, 602, 621, 1152, 3340, 5634, 12381, 547, 4540, 12363, 5989, 267, 2687, 547, 29034, 534, 1410, 563, 2005, 666, 581, 11943, 875, 782, 540, 519, 1614, 6675, 607, 4492, 723, 741, 2640, 269, 1717, 267, 789, 616, 1152, 607, 4264, 607, 741, 2504, 11710, 689, 5710, 1963, 543, 1970, 17219, 7135, 269, 898, 786, 581, 4277, 538, 513, 1906, 1296, 547, 1294, 799, 4492, 786, 723, 519, 1655, 2298, 5288, 6940, 5288, 3902, 5223, 2336, 272, 269, 25306, 267, 808, 269, 589, 269, 630, 1220, 275, 264, 12655, 25756, 13870, 269, 3163, 267, 476, 25134, 267, 476, 280, 7761, 268, 9032, 275, 563, 273, 269, 11709, 14208, 1815, 651, 267, 700, 1421, 700, 3530, 710, 584, 267, 700, 1421, 6682, 701, 267, 681, 1421, 3131, 516, 5435, 267, 623, 1421, 32040, 745, 1375, 523, 267, 590, 269, 654, 1421, 1299, 700, 6511, 1068, 338, 267, 590, 269, 630, 1708, 272, 1040, 12694, 538, 519, 946, 540, 7250, 585, 17535, 3156, 269, 6052, 1299, 7025, 3163, 267, 476, 1691, 263, 273, 1070, 476, 279, 1428, 268, 279, 6246, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 280, 7933, 271, 2465, 27888, 3393, 327, 0, 1692, 519, 6820, 3345, 779, 4853, 5779, 4356, 568, 30740, 2916, 21440, 563, 763, 2825, 543, 1514, 1942, 540, 6721, 12051, 3484, 539, 5779, 568, 10373, 267, 543, 568, 28703, 796, 3225, 958, 676, 2907, 7925, 2950, 563, 10387, 3827, 689, 4853, 5779, 543, 10683, 616, 8022, 909, 938, 4541, 269, 1635, 476, 10711, 271, 267, 519, 13184, 5823, 786, 581, 8781, 998, 827, 3368, 519, 2179, 649, 666, 9108, 12520, 547, 3251, 1369, 476, 272, 269, 276, 5232, 540, 2518, 8022, 269, 5381, 547, 938, 13840, 16080, 1242, 1909, 538, 8093, 4492, 946, 267, 519, 6820, 3345, 568, 4189, 811, 5779, 543, 10683, 543, 32749, 811, 8511, 9362, 982, 922, 4023, 2671, 269, 769, 476, 1708, 271, 267, 1164, 4747, 2477, 1185, 606, 3328, 21496, 5779, 4616, 540, 476, 3445, 269, 275, 4846, 829, 1268, 269, 634, 9803, 4747, 2477, 1152, 10057, 476, 1556, 269, 280, 4846, 540, 5779, 21496, 829, 1268, 269, 634, 5222, 540, 2916, 9568, 786, 581, 5433, 19514, 569, 267, 609, 2477, 538, 519, 6820, 3162, 1700, 799, 3548, 2484, 1447, 4853, 5779, 543, 10683, 1700, 12946, 519, 20015, 660, 540, 12900, 563, 4407, 519, 8835, 23967, 538, 476, 1708, 273, 2322, 3662, 6683, 779, 2916, 1764, 538, 519, 24657, 267, 4395, 1467, 2950, 267, 1419, 645, 7709, 8016, 630, 14937, 267, 7087, 740, 4658, 540, 2051, 712, 264, 543, 2324, 1362, 1004, 538, 519, 6820, 3345, 543, 3162, 267, 616, 1869, 2800, 539, 693, 3592, 1169, 3942, 540, 519, 4853, 5779, 543, 10683, 3761, 5832, 563, 5978, 2848, 6545, 616, 8731, 4221, 519, 8835, 543, 1439, 836, 1359, 7087, 2950, 454, 2108, 9213, 519, 8835, 568, 4742, 513, 3574, 23041, 2223, 3081, 962, 24499, 2494, 577, 10719, 328, 267, 606, 7087, 12016, 538, 519, 19384, 1533, 540, 589, 920, 269, 634, 8835, 814, 1044, 8781, 585, 930, 1296, 1631, 267, 543, 891, 11642, 616, 3592, 14311, 812, 1500, 269, 1548, 729, 2899, 18932, 3039, 10664, 267, 543, 1753, 547, 7087, 9082, 543, 26080, 9265, 267, 568, 1631, 16290, 538, 513, 4783, 540, 3595, 267, 14132, 267, 543, 26846, 1700, 530, 31441, 856, 14143, 540, 3504, 4054, 267, 543, 6028, 7087, 2950, 669, 3183, 593, 519, 8673, 563, 10048, 577, 10719, 328, 779, 2146, 538, 589, 920, 814, 2938, 606, 2333, 538, 7929, 10108, 936, 519, 2250, 7008, 540, 1296, 267, 1141, 519, 1981, 789, 3068, 689, 519, 5046, 268, 866, 6855, 568, 31903, 676, 741, 16133, 547, 519, 8835, 11642, 269, 968, 20288, 560, 11642, 1860, 1312, 938, 7929, 1072, 607, 1134, 607, 1426, 3106, 2223, 1352, 6645, 15216, 321, 599, 5240, 267, 968, 20357, 649, 7639, 609, 29454, 689, 2470, 3034, 5575, 2097, 519, 11642, 267, 543, 1287, 519, 12418, 616, 4547, 538, 269, 29133, 17569, 619, 538, 8478, 543, 519, 7330, 1419, 2707, 741, 12418, 689, 678, 4545, 1667, 945, 2154, 5318, 5666, 540, 2244, 547, 1178, 2763, 741, 12418, 269, 769, 1249, 267, 519, 4102, 5779, 3640, 518, 538, 519, 1158, 267, 808, 7034, 267, 814, 15861, 547, 27126, 12418, 689, 24648, 958, 632, 10809, 539, 2244, 538, 519, 8835, 269, 19384, 15726, 302, 1955, 7571, 9193, 476, 3445, 260, 540, 632, 10809, 539, 8835, 2244, 568, 13026, 676, 12418, 2250, 999, 563, 15152, 5449, 19384, 5518, 808, 1515, 12157, 5459, 16619, 779, 12512, 267, 2244, 3766, 4599, 1499, 543, 10363, 678, 4545, 1667, 941, 2016, 1863, 12081, 547, 30908, 998, 519, 22986, 609, 2370, 2543, 585, 519, 7087, 9082, 23493, 593, 741, 18577, 3338, 269, 13966, 2515, 4220, 547, 741, 1072, 267, 10363, 12418, 10443, 4221, 5396, 7087, 2950, 547, 519, 5208, 540, 12761, 269, 10705, 267, 891, 2950, 4339, 1394, 269, 634, 631, 3120, 631, 3120, 1004, 540, 519, 8835, 1491, 909, 536, 3298, 543, 15731, 543, 2212, 883, 519, 26570, 547, 9718, 741, 1753, 1996, 2845, 7970, 269, 968, 2171, 616, 8909, 1317, 519, 4104, 568, 12955, 693, 1169, 4090, 1848, 670, 6387, 577, 654, 752, 3570, 267, 513, 4759, 540, 519, 14316, 267, 6645, 1234, 26407, 267, 968, 2171, 1745, 519, 2916, 568, 4657, 543, 519, 1158, 2115, 519, 4104, 3034, 1432, 5956, 538, 519, 8835, 7475, 538, 519, 2706, 21466, 281, 606, 7634, 676, 631, 26663, 3047, 4951, 602, 9269, 543, 20230, 2472, 4421, 538, 18806, 1723, 2706, 5658, 1115, 538, 519, 5177, 941, 5532, 547, 17717, 538, 519, 8835, 543, 513, 2487, 6820, 654, 5893, 1867, 849, 4951, 3703, 2706, 5658, 1115, 24261, 976, 267, 590, 1622, 12064, 779, 267, 19360, 543, 6789, 6395, 941, 6006, 532, 14132, 3812, 676, 808, 7034, 269, 2755, 6800, 538, 519, 6820, 3345, 2972, 31567, 10464, 5779, 5777, 267, 621, 779, 1271, 547, 7703, 538, 2247, 602, 952, 519, 1439, 7082, 3884, 1406, 12946, 519, 2407, 1942, 540, 713, 1587, 267, 824, 1004, 543, 824, 8134, 267, 1419, 1346, 538, 2907, 7925, 3871, 267, 2693, 616, 563, 5978, 2848, 6545, 616, 3812, 538, 13818, 2324, 2175, 454, 4517, 516, 31436, 1393, 267, 513, 5779, 3640, 518, 2324, 538, 513, 570, 903, 517, 16639, 2030, 538, 19578, 267, 13455, 513, 2620, 575, 1662, 593, 1010, 1318, 6186, 1247, 2324, 23969, 547, 23969, 593, 519, 12051, 6989, 269, 1879, 519, 1928, 593, 1010, 6186, 9327, 1406, 979, 2476, 1310, 513, 3018, 267, 570, 903, 517, 16639, 15189, 547, 3382, 1022, 2564, 3790, 3564, 3246, 1864, 609, 6512, 1137, 607, 267, 829, 2754, 3609, 267, 646, 22821, 1406, 1044, 2324, 693, 519, 2030, 1279, 2614, 547, 723, 12236, 3795, 269, 968, 296, 2760, 4682, 547, 519, 6413, 892, 31436, 1393, 11339, 267, 968, 20357, 594, 729, 12922, 540, 519, 12014, 3034, 10890, 543, 3106, 32226, 568, 606, 2872, 17253, 3390, 269, 7831, 1032, 267, 649, 19927, 602, 930, 540, 519, 1004, 7738, 808, 7034, 5779, 24386, 2371, 538, 519, 7330, 941, 1453, 269, 3683, 835, 4627, 1453, 267, 9907, 476, 1724, 547, 476, 1704, 1296, 2025, 267, 941, 7738, 986, 345, 528, 6879, 17369, 4718, 3937, 267, 544, 25891, 909, 6757, 3653, 543, 2324, 16074, 10593, 269, 2311, 2547, 1079, 540, 891, 1453, 941, 1634, 547, 723, 11124, 968, 8619, 755, 545, 3114, 17236, 6100, 4014, 808, 7034, 814, 2094, 8694, 922, 4579, 609, 602, 1880, 19455, 3028, 267, 13818, 960, 2175, 543, 11668, 1876, 19374, 616, 711, 16613, 538, 5779, 17569, 532, 2371, 269, 634, 2475, 27706, 8881, 543, 2657, 10029, 1336, 602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 538, 971, 2665, 267, 740, 6254, 338, 540, 519, 5132, 27043, 1369, 519, 2679, 538, 1931, 547, 9006, 4733, 519, 25976, 693, 519, 695, 9068, 269, 769, 8106, 11454, 6189, 267, 519, 695, 9068, 949, 581, 24190, 609, 519, 1591, 320, 267, 13840, 267, 538, 18420, 543, 4936, 30871, 267, 543, 538, 2413, 5132, 338, 267, 971, 607, 3026, 641, 12298, 1143, 267, 513, 695, 9068, 666, 4122, 581, 1336, 1369, 519, 1753, 610, 6300, 269, 901, 695, 9068, 568, 2356, 513, 2497, 610, 513, 14764, 540, 5961, 543, 19562, 1149, 6131, 547, 513, 25976, 602, 568, 851, 540, 519, 4013, 4984, 563, 22102, 7622, 695, 21218, 616, 1455, 1851, 519, 4457, 543, 1004, 689, 3162, 543, 14913, 5607, 267, 2436, 9699, 269, 15394, 513, 1507, 17689, 543, 1507, 17008, 616, 6854, 3232, 676, 519, 695, 9068, 267, 14418, 7622, 695, 21218, 1590, 581, 593, 513, 15808, 1657, 519, 2212, 267, 4457, 695, 21218, 1590, 1796, 2047, 593, 519, 6989, 269, 9540, 9205, 13452, 695, 21218, 616, 1336, 693, 519, 5377, 540, 1082, 10651, 267, 1739, 1585, 10764, 267, 1519, 13840, 269, 1744, 21218, 616, 1336, 538, 1034, 267, 1498, 711, 782, 267, 1744, 21218, 4061, 4482, 519, 2259, 540, 31145, 269, 1744, 21218, 616, 1336, 538, 1082, 267, 1498, 711, 782, 267, 3029, 540, 8567, 267, 4936, 30871, 267, 519, 4102, 21000, 1588, 540, 8567, 267, 814, 1082, 695, 21218, 267, 607, 798, 18179, 8567, 543, 29842, 22675, 269, 1280, 513, 695, 9068, 547, 581, 4330, 607, 3084, 267, 519, 13170, 540, 519, 9210, 4593, 29914, 10985, 568, 2556, 267, 585, 621, 547, 581, 4330, 607, 3486, 267, 519, 13170, 540, 519, 10513, 6423, 568, 2838, 269, 6271, 946, 540, 519, 695, 9068, 538, 30351, 658, 7826, 16166, 568, 513, 13395, 610, 620, 322, 913, 538, 1034, 1107, 2523, 3677, 1107, 13039, 1031, 676, 25110, 542, 619, 950, 32467, 27352, 538, 519, 5939, 563, 5445, 941, 1572, 8061, 10899, 16816, 1513, 267, 2094, 789, 1223, 1413, 899, 1507, 17121, 16816, 1513, 610, 676, 324, 268, 5306, 1513, 267, 1744, 21218, 941, 2141, 10704, 593, 930, 3239, 540, 2441, 610, 513, 23920, 1107, 585, 3236, 267, 513, 18533, 267, 544, 1116, 610, 24463, 267, 543, 949, 723, 1185, 513, 556, 1042, 657, 3297, 873, 269, 1717, 267, 7136, 1131, 711, 581, 9976, 693, 873, 267, 789, 941, 1031, 547, 5351, 610, 2285, 513, 3308, 1445, 585, 19001, 269, 17121, 5621, 1513, 267, 1141, 7136, 1223, 2965, 581, 9976, 267, 941, 1031, 538, 513, 1259, 547, 695, 21218, 676, 25110, 542, 619, 454, 2690, 519, 6891, 2777, 1031, 676, 519, 667, 752, 601, 327, 1004, 540, 3703, 12052, 267, 1294, 13336, 2777, 269, 4107, 8075, 543, 4213, 723, 513, 6891, 2777, 5116, 538, 606, 513, 22273, 5534, 5544, 267, 519, 4087, 949, 581, 6074, 1310, 15360, 609, 513, 23347, 2381, 17308, 269, 634, 6891, 2777, 568, 7363, 538, 519, 1106, 540, 513, 2777, 610, 11454, 269, 634, 2777, 568, 5497, 547, 1683, 513, 12062, 585, 14326, 602, 1223, 2014, 2042, 585, 519, 952, 711, 4300, 1078, 269, 634, 695, 21218, 1419, 1331, 2592, 540, 1004, 543, 2831, 267, 642, 12067, 17008, 616, 2451, 693, 519, 2777, 547, 4412, 527, 5573, 519, 14326, 269, 2859, 14969, 19698, 1331, 606, 26749, 585, 713, 3483, 267, 1019, 6755, 919, 661, 3863, 534, 1744, 9068, 670, 758, 7702, 21919, 573, 3570, 700, 752, 631, 826, 836, 14844, 21487, 18691, 15397, 601, 776, 25976, 9012, 1644, 547, 13336, 8075, 693, 22816, 12855, 12780, 634, 21487, 13336, 5600, 454, 289, 1737, 338, 616, 1851, 519, 9998, 1480, 610, 23788, 543, 522, 1598, 747, 7387, 19273, 538, 4000, 4266, 547, 476, 1015, 267, 1822, 7460, 269, 3683, 519, 5553, 1585, 4529, 723, 1500, 19273, 689, 513, 3099, 540, 2326, 689, 6149, 267, 519, 2296, 2262, 29950, 24283, 689, 519, 6196, 2296, 10902, 5127, 324, 799, 1797, 513, 11755, 269, 538, 269, 1989, 11721, 3796, 270, 272, 270, 1001, 277, 270, 628, 4275, 274, 269, 795, 17989, 6580, 689, 519, 476, 1704, 628, 524, 269, 7460, 634, 3169, 8129, 540, 11755, 19273, 2611, 7334, 267, 855, 741, 9998, 3140, 946, 4440, 15244, 547, 9699, 19001, 538, 3127, 267, 13221, 4440, 22666, 519, 1523, 689, 18420, 269, 634, 18533, 540, 513, 13411, 9699, 812, 609, 19273, 7389, 547, 519, 3791, 2540, 7460, 267, 519, 1297, 540, 19273, 9775, 676, 4984, 610, 946, 269, 9099, 11755, 19273, 267, 1572, 16700, 321, 21036, 610, 26800, 6798, 327, 267, 2356, 723, 476, 4200, 610, 476, 3451, 19273, 543, 27734, 946, 519, 808, 23981, 5689, 320, 267, 799, 2356, 814, 476, 10482, 19273, 267, 610, 476, 2767, 799, 616, 18886, 2185, 2053, 269, 15840, 2967, 11755, 19273, 2874, 540, 2901, 476, 4817, 19273, 610, 476, 866, 19273, 267, 519, 27566, 5689, 320, 814, 476, 10482, 19273, 269, 4936, 23597, 946, 519, 14472, 776, 609, 476, 7918, 543, 3606, 2947, 19273, 267, 8109, 18179, 10271, 946, 513, 24516, 1540, 14472, 776, 609, 476, 1911, 25418, 267, 4352, 11755, 887, 6647, 609, 476, 2004, 610, 476, 3451, 25418, 666, 581, 1031, 563, 763, 5259, 737, 558, 2513, 16211, 814, 606, 9642, 1297, 540, 835, 811, 982, 513, 2789, 540, 2185, 269, 3245, 519, 1034, 5063, 4362, 23906, 1723, 5961, 538, 13019, 8527, 21105, 540, 16114, 528, 7236, 267, 519, 19164, 12429, 338, 540, 519, 476, 274, 6113, 547, 476, 276, 628, 5553, 267, 1031, 890, 6277, 956, 610, 24516, 1540, 887, 6647, 547, 1293, 19001, 267, 3335, 519, 4906, 27302, 269, 634, 8798, 568, 11911, 547, 20900, 519, 4279, 610, 1010, 12314, 623, 778, 558, 3780, 519, 4279, 538, 519, 476, 275, 628, 2540, 267, 519, 7826, 15610, 19528, 12673, 540, 19273, 267, 27229, 585, 11755, 267, 1336, 538, 519, 9723, 2125, 540, 12142, 717, 1068, 337, 8775, 540, 715, 633, 331, 956, 543, 12142, 7439, 6975, 543, 12142, 14472, 26515, 269, 589, 811, 8763, 4704, 568, 602, 538, 476, 12208, 276, 5261, 540, 5689, 6996, 12064, 5018, 513, 5569, 540, 21889, 602, 15248, 2696, 10216, 1031, 547, 1293, 19001, 543, 891, 12673, 540, 19273, 941, 1634, 607, 533, 15715, 739, 619, 543, 941, 27229, 1031, 547, 1293, 10221, 1431, 540, 519, 700, 3581, 27302, 269, 13536, 267, 4936, 23597, 543, 5555, 29842, 753, 7281, 539, 519, 887, 338, 776, 609, 12673, 540, 476, 7918, 7132, 606, 3606, 2947, 19273, 267, 519, 19001, 616, 10483, 676, 9066, 593, 519, 27405, 625, 267, 2621, 538, 519, 1272, 543, 18591, 540, 4906, 563, 1607, 2757, 7826, 1106, 540, 519, 887, 338, 776, 568, 11911, 547, 12142, 18067, 545, 267, 23597, 946, 11755, 19273, 547, 7281, 669, 777, 7410, 269, 634, 8109, 18179, 5783, 3096, 11755, 887, 6647, 609, 476, 3451, 267, 2004, 610, 476, 1911, 25418, 267, 519, 17787, 540, 24516, 1540, 15144, 267, 1572, 669, 582, 7288, 610, 737, 4861, 657, 7219, 328, 547, 7281, 519, 4906, 27302, 269, 4014, 1851, 519, 18179, 267, 741, 946, 568, 11658, 547, 26112, 543, 31967, 269, 7324, 6739, 6196, 5617, 773, 951, 267, 513, 18052, 1500, 540, 16463, 267, 1572, 561, 652, 990, 6390, 267, 568, 811, 1455, 269, 15337, 1014, 543, 10515, 6776, 11755, 18052, 2308, 2338, 971, 607, 476, 6078, 267, 5038, 267, 519, 1101, 1079, 2338, 2099, 519, 1297, 540, 561, 10449, 1102, 21719, 593, 4906, 543, 6307, 338, 2085, 2390, 1200, 2667, 18870, 269, 634, 1305, 5161, 540, 476, 3451, 19273, 11231, 538, 2185, 1895, 902, 540, 12572, 4644, 543, 891, 29842, 534, 14472, 2456, 3136, 547, 581, 15469, 3842, 4950, 7270, 855, 621, 568, 711, 1634, 2436, 789, 723, 1044, 7550, 676, 1022, 17557, 1895, 538, 1022, 6101, 2631, 454, 763, 12835, 7944, 267, 610, 2699, 7944, 267, 568, 513, 1507, 10847, 2230, 5423, 538, 519, 5321, 540, 8109, 18179, 543, 5259, 4211, 987, 4301, 10271, 269, 634, 26922, 1523, 538, 5375, 8567, 568, 519, 1753, 26749, 267, 519, 3883, 540, 20450, 543, 519, 9210, 30178, 540, 519, 24347, 548, 6754, 2594, 602, 538, 519, 2038, 5783, 267, 10271, 1031, 547, 2743, 538, 519, 5321, 540, 519, 21705, 269, 901, 2245, 540, 519, 5600, 5783, 5170, 547, 713, 1554, 538, 8109, 8567, 267, 519, 1753, 568, 2808, 547, 581, 513, 2890, 6523, 332, 540, 519, 5783, 269, 634, 3237, 616, 519, 23464, 540, 519, 5939, 267, 543, 519, 1453, 616, 519, 3288, 640, 269, 634, 16806, 16008, 568, 26922, 547, 18103, 1588, 267, 543, 519, 2777, 568, 25552, 609, 513, 678, 924, 602, 568, 1759, 2390, 519, 1230, 5913, 1674, 540, 513, 5783, 267, 2899, 513, 1032, 267, 519, 17308, 786, 2097, 547, 12196, 519, 2777, 609, 634, 2684, 1415, 4826, 269, 1323, 18179, 4168, 568, 4397, 547, 7281, 7683, 267, 2687, 547, 21674, 918, 718, 626, 657, 654, 732, 267, 562, 18179, 17035, 267, 1100, 9668, 1063, 1396, 21395, 543, 4357, 20174, 269, 4935, 519, 2777, 267, 1175, 899, 519, 13527, 267, 568, 2808, 547, 581, 513, 1747, 269, 1323, 12835, 7944, 568, 7363, 20218, 547, 3068, 7532, 543, 621, 568, 1419, 4092, 538, 513, 7944, 547, 9004, 1158, 569, 19240, 543, 1450, 11755, 547, 581, 811, 13671, 563, 2080, 568, 1141, 519, 24069, 602, 519, 1920, 22595, 1058, 581, 4092, 267, 7363, 1519, 693, 2547, 24069, 540, 2441, 267, 519, 634, 582, 758, 657, 267, 606, 3282, 17689, 7363, 13793, 338, 538, 4395, 540, 519, 24069, 269, 634, 6297, 16013, 2719, 540, 519, 17689, 547, 1832, 621, 8781, 693, 782, 2053, 568, 14648, 607, 12572, 540, 519, 3232, 1416, 21705, 10271, 1058, 1491, 936, 741, 20339, 269, 27814, 267, 519, 7944, 568, 4092, 865, 602, 621, 568, 7298, 950, 835, 1101, 13788, 519, 2777, 689, 519, 1292, 13675, 269, 27603, 267, 950, 1101, 10024, 519, 2777, 267, 606, 18179, 4168, 1131, 9006, 4733, 519, 24069, 1354, 28551, 519, 2818, 540, 519, 2777, 267, 513, 2757, 18179, 1920, 786, 5531, 1927, 1169, 1554, 585, 6640, 543, 10543, 19001, 269, 6884, 267, 693, 519, 1439, 540, 519, 19001, 267, 519, 2212, 540, 519, 7622, 786, 1491, 519, 18594, 518, 543, 524, 1619, 519, 24069, 269, 10705, 267, 538, 1840, 547, 519, 7944, 267, 513, 1920, 786, 13793, 513, 1507, 22045, 12835, 676, 519, 7450, 269, 27748, 7944, 593, 18179, 310, 5942, 14424, 267, 4173, 337, 326, 582, 1206, 342, 1074, 601, 454, 17951, 997, 534, 11755, 19273, 454, 17951, 997, 534, 11755, 29950, 5036, 2874, 540, 13977, 31644, 19273, 5258, 883, 2516, 269, 1703, 616, 2185, 2516, 9967, 540, 5722, 19273, 609, 3606, 5094, 267, 519, 1895, 902, 616, 1572, 4374, 267, 538, 4334, 547, 519, 29401, 887, 338, 776, 799, 3096, 2947, 2516, 540, 4557, 19273, 1572, 5756, 269, 634, 19273, 1063, 616, 2356, 3677, 982, 519, 4374, 19273, 616, 1572, 16961, 6134, 19273, 267, 950, 519, 8520, 540, 19273, 568, 8118, 883, 513, 9764, 3337, 267, 891, 1880, 19273, 1106, 519, 2798, 540, 513, 3444, 1369, 519, 5858, 540, 519, 1305, 267, 8754, 519, 2165, 16961, 6134, 269, 8921, 1310, 519, 3444, 593, 29842, 534, 11755, 29950, 5036, 568, 513, 2582, 29950, 17941, 519, 1045, 527, 2218, 29950, 267, 519, 19273, 1031, 616, 1500, 540, 513, 3099, 540, 2326, 267, 971, 607, 10475, 10007, 267, 25549, 4837, 267, 610, 1256, 12015, 543, 13556, 5452, 269, 29842, 534, 11755, 29950, 5036, 616, 1500, 609, 513, 3099, 540, 22613, 610, 267, 519, 22469, 3444, 543, 519, 5842, 12456, 10730, 3444, 616, 1079, 799, 616, 1419, 1031, 269, 1261, 610, 1352, 949, 9959, 676, 6031, 519, 700, 3581, 27302, 593, 519, 1045, 527, 2218, 29950, 543, 5924, 513, 3803, 11755, 593, 519, 3444, 607, 538, 519, 1806, 2630, 267, 519, 3003, 5858, 949, 581, 2944, 4278, 823, 267, 799, 19752, 519, 10513, 27076, 563, 27746, 267, 634, 22569, 1588, 540, 4173, 9839, 267, 21813, 532, 519, 14472, 776, 267, 1323, 4985, 585, 9210, 4593, 29914, 2103, 269, 634, 29842, 534, 2422, 540, 519, 14472, 776, 267, 26701, 514, 631, 269, 1530, 756, 339, 267, 5975, 1399, 28270, 269, 670, 13783, 2659, 21813, 619, 538, 2659, 24732, 267, 21813, 532, 519, 29842, 534, 14472, 776, 267, 2486, 540, 853, 269, 3627, 519, 5345, 13370, 626, 267, 1196, 269, 634, 27405, 625, 540, 519, 14472, 776, 267, 589, 10374, 6164, 1047, 267, 519, 29842, 534, 14472, 776, 585, 5753, 267, 21813, 619, 585, 519, 8479, 693, 9839, 269, 589, 645, 1737, 543, 513, 27302, 267, 589, 30488, 6651, 547, 17557, 27302, 645, 1737, 338, 267, 645, 1737, 2290, 267, 18320, 267, 589, 6651, 547, 10435 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1044, 519, 1034, 7928, 2094, 519, 476, 3707, 271, 338, 267, 609, 476, 274, 1107, 476, 4335, 331, 1749, 585, 513, 476, 1911, 271, 20645, 7382, 543, 476, 275, 1107, 476, 4335, 331, 1749, 585, 513, 476, 5611, 271, 20645, 7382, 1373, 519, 1034, 6093, 269, 570, 3471, 3459, 547, 581, 9280, 609, 476, 1626, 16357, 4009, 6405, 11690, 338, 609, 513, 17666, 32548, 538, 519, 3735, 476, 1960, 271, 338, 267, 3850, 585, 4443, 1569, 547, 1312, 5011, 540, 519, 7382, 269, 3509, 13688, 2221, 616, 1500, 540, 4017, 1120, 20199, 610, 5068, 269, 3683, 942, 267, 519, 6405, 1522, 31358, 267, 543, 519, 561, 1749, 949, 1020, 18015, 610, 7654, 695, 2660, 4625, 1813, 547, 519, 2604, 563, 268, 4634, 7745, 561, 1749, 1058, 581, 8719, 585, 519, 19160, 540, 519, 1857, 779, 3106, 563, 268, 1358, 1205, 1569, 547, 707, 23170, 7382, 676, 9427, 3039, 6227, 602, 616, 476, 736, 6279, 538, 8006, 563, 268, 901, 568, 2944, 538, 1931, 547, 2061, 4896, 267, 2523, 1453, 267, 689, 9427, 513, 19984, 543, 9991, 883, 519, 8708, 563, 268, 589, 6093, 1216, 1377, 585, 513, 7382, 1058, 581, 476, 277, 16357, 2630, 519, 1283, 540, 519, 7382, 267, 543, 519, 7382, 1058, 581, 6854, 4625, 4904, 693, 782, 2053, 563, 268, 634, 1377, 540, 519, 1216, 568, 1419, 513, 1434, 1129, 540, 1761, 2042, 563, 268, 3958, 267, 621, 1522, 2303, 513, 24571, 3022, 6981, 1899, 267, 799, 1223, 581, 3361, 676, 5072, 267, 513, 8697, 10612, 267, 610, 513, 10690, 4745, 563, 268, 1403, 972, 814, 1044, 513, 2603, 540, 4764, 267, 519, 3618, 949, 1205, 15459, 267, 1818, 621, 7543, 585, 1022, 3606, 1216, 547, 694, 788, 998, 519, 3037, 547, 519, 2627, 563, 268, 1403, 707, 7382, 814, 4847, 5536, 547, 4283, 519, 2361, 3515, 267, 713, 1522, 2014, 519, 23761, 538, 519, 1351, 2607, 730, 10612, 547, 1205, 24571, 3022, 267, 7303, 1216, 689, 829, 3712, 908, 998, 519, 3037, 607, 3927, 607, 621, 1058, 581, 563, 2304, 3977, 6882, 949, 581, 5116, 547, 2061, 1300, 12885, 689, 10024, 519, 2361, 3515, 267, 855, 621, 1131, 991, 547, 581, 19345, 593, 606, 5993, 4493, 547, 2327, 602, 713, 1281, 711, 4755, 269, 16480, 267, 621, 568, 2484, 1447, 7199, 982, 31811, 2361, 3515, 563, 1692, 2620, 2630, 519, 2627, 568, 1250, 23170, 19984, 888, 21430, 4180, 602, 1169, 5057, 540, 519, 3959, 568, 538, 5140, 2324, 1931, 568, 606, 1271, 851, 540, 513, 1753, 26782, 779, 5539, 269, 898, 568, 2556, 547, 1491, 1434, 1416, 540, 519, 3937, 543, 11647, 269, 634, 13452, 1058, 581, 6854, 538, 1434, 2783, 269, 898, 568, 2556, 547, 8597, 547, 519, 4170, 540, 519, 2818, 540, 519, 1753, 269, 898, 568, 2009, 602, 596, 616, 593, 519, 2357, 613, 540, 4742, 513, 2706, 2006, 610, 513, 2706, 30513, 952, 596, 616, 519, 1152, 835, 945, 20362, 609, 1169, 2582, 1469, 538, 707, 1753, 269, 1879, 621, 2501, 547, 707, 23170, 1062, 267, 713, 568, 2322, 547, 519, 1449, 1256, 811, 563, 268, 898, 568, 1152, 4023, 602, 922, 1134, 5630, 581, 13984, 547, 593, 513, 6024, 4493, 563, 268, 634, 23170, 1062, 568, 513, 3810, 1271, 5057, 540, 707, 1753, 779, 5989, 563, 268, 1703, 616, 1079, 2694, 547, 519, 23170, 1062, 281, 519, 23170, 7382, 543, 519, 12775, 1858, 563, 268, 13068, 2498, 23308, 568, 6383, 267, 2705, 621, 3568, 13596, 543, 14107, 543, 1590, 581, 26809, 883, 513, 7088, 8963, 2361, 563, 268, 898, 3217, 513, 2603, 540, 4674, 585, 519, 23170, 1062, 547, 6023, 782, 540, 519, 16894, 602, 707, 1753, 12958, 267, 799, 568, 1946, 596, 1590, 1491, 1434, 1416, 540, 621, 543, 2327, 602, 621, 8255, 12347, 563, 268, 901, 949, 711, 3100, 899, 513, 3226, 3078, 2534, 267, 855, 621, 568, 2556, 538, 1931, 547, 723, 513, 2407, 3239, 540, 519, 1072, 540, 707, 23170, 1062, 779, 5106, 563, 268, 634, 4087, 540, 707, 23170, 1062, 267, 519, 2450, 540, 519, 1062, 267, 543, 519, 3178, 547, 799, 621, 568, 3710, 896, 519, 2627, 782, 3310, 519, 2450, 540, 707, 23170, 19984, 563, 2252, 596, 917, 1141, 891, 11503, 616, 267, 596, 786, 581, 513, 605, 693, 5329, 707, 23170, 1062, 538, 1434, 2324, 1931, 563, 2467, 616, 513, 1906, 2409, 547, 1491, 538, 1931, 547, 3313, 875, 2620, 707, 23170, 19984, 5963, 568, 281, 476, 272, 563, 4322, 1131, 1034, 2693, 581, 1336, 538, 519, 25810, 540, 519, 2777, 563, 30772, 267, 3802, 4557, 3268, 2476, 689, 707, 1753, 1317, 519, 3328, 23170, 7382, 568, 4092, 4557, 547, 8938, 3952, 2476, 689, 707, 3959, 563, 13014, 946, 540, 513, 5374, 16785, 602, 568, 1472, 476, 276, 3952, 538, 3259, 543, 2046, 621, 883, 519, 3618, 547, 12398, 707, 23170, 7382, 563, 2252, 713, 4386, 267, 596, 786, 581, 2838, 547, 2628, 513, 1713, 2179, 540, 2724, 547, 7816, 519, 23170, 7382, 563, 288, 7382, 779, 6093, 4560, 568, 3670, 3952, 538, 3259, 563, 27987, 547, 707, 1753, 543, 3802, 3670, 3952, 2476, 689, 621, 563, 3528, 602, 942, 267, 596, 1058, 723, 1336, 519, 2034, 1698, 563, 763, 3178, 540, 519, 23170, 19984, 568, 2356, 1063, 476, 274, 543, 476, 276, 3952, 267, 4470, 593, 875, 2620, 519, 23170, 7382, 568, 25653, 563, 2252, 519, 23170, 4274, 729, 849, 519, 835, 945, 8704, 707, 23170, 1062, 267, 621, 1131, 581, 14320, 811, 10375, 2094, 646, 1131, 2907, 581, 5432, 609, 519, 4087, 540, 782, 540, 519, 23170, 13688, 593, 707, 3959, 563, 2252, 7850, 5528, 616, 711, 2016, 543, 2556, 3157, 616, 711, 4553, 267, 519, 23170, 1062, 786, 1360, 6157, 581, 10032, 563, 2791, 1590, 1118, 1169, 4674, 547, 3489, 607, 1454, 1344, 607, 2009, 3823, 707, 3959, 779, 23170, 1062, 607, 4166, 607, 596, 1491, 15896, 540, 621, 269, 5457, 547, 2307, 707, 23170, 7382, 11285, 875, 2620, 2630, 519, 2627, 1250, 23170, 19984, 568, 4092, 269, 901, 568, 513, 2629, 2243, 547, 3314, 563, 10666, 634, 8191, 454, 16485, 539, 538, 519, 1739, 7121, 281, 4937, 634, 1034, 2487, 9337, 729, 1500, 593, 4989, 476, 274, 267, 476, 1708, 271, 269, 1548, 568, 519, 3845, 1063, 519, 561, 1749, 286, 476, 277, 547, 476, 278, 3952, 538, 4463, 269, 1548, 568, 519, 8006, 540, 519, 331, 1749, 517, 519, 339, 1678, 286, 476, 736, 547, 476, 2190, 6279, 538, 3259, 269, 2659, 1062, 949, 723, 1079, 610, 1614, 561, 1749, 267, 4470, 593, 875, 707, 23170, 7382, 568, 27358, 269, 1530, 10364, 13688, 616, 7363, 14328, 538, 1374, 543, 2268, 10199, 476, 276, 3952, 676, 476, 279, 3952, 538, 2450, 267, 4470, 593, 519, 10672, 269, 15380, 267, 519, 19984, 543, 824, 23170, 7382, 3334, 616, 5116, 1063, 476, 275, 6279, 543, 476, 275, 3952, 11895, 538, 519, 5354, 540, 3871, 563, 268, 13689, 593, 519, 10605, 540, 11159, 19221, 267, 519, 2450, 540, 519, 1920, 267, 543, 513, 3099, 540, 824, 2188, 267, 519, 3328, 6700, 1974, 1063, 23170, 7382, 6802, 902, 568, 476, 273, 1700, 274, 1296, 563, 268, 634, 13250, 540, 4396, 3653, 538, 519, 7382, 949, 581, 30281, 607, 513, 1267, 540, 713, 563, 268, 9255, 513, 4496, 16785, 883, 519, 2666, 267, 2697, 519, 476, 275, 20878, 29326, 1899, 267, 543, 1246, 621, 2066, 519, 13452, 267, 2625, 532, 1169, 476, 273, 3952, 267, 2394, 596, 3914, 519, 1439, 563, 268, 634, 5354, 540, 873, 616, 1063, 476, 1015, 543, 476, 1839, 3952, 11397, 563, 268, 589, 16434, 2179, 540, 6926, 778, 689, 513, 4452, 540, 27445, 786, 723, 1100, 1198, 593, 519, 4551, 543, 1216, 538, 707, 23170, 7382, 267, 799, 6585, 1896, 8536, 17529, 563, 268, 8550, 23574, 4608, 10541, 2973, 619, 267, 6926, 778, 267, 610, 824, 1753, 6464, 1524, 519, 16003, 610, 1524, 519, 16173, 563, 1692, 10787, 18766, 3657, 1530, 10364, 26653, 700, 1749, 286, 630, 8340, 4934, 3767, 26695, 2252, 21427, 6999, 547, 1832, 741, 23170, 13688, 538, 5140, 2324, 1931, 267, 789, 1590, 13599, 2933, 543, 946, 13657, 950, 3257, 865, 269, 634, 1344, 596, 4865, 949, 581, 2111, 547, 2057, 707, 1920, 779, 23170, 7382, 689, 7092, 11032, 17660, 2800, 269, 634, 3845, 1063, 519, 561, 1749, 540, 707, 23170, 7382, 568, 835, 540, 519, 1271, 3877, 547, 1174, 269, 634, 13307, 540, 513, 23170, 7382, 779, 19984, 9775, 4470, 593, 519, 7382, 779, 2450, 543, 2186, 269, 1411, 3580, 3605, 602, 972, 616, 513, 1297, 540, 2609, 602, 1404, 513, 1909, 538, 8159, 1141, 519, 561, 1749, 616, 5116, 563, 6097, 547, 2489, 4341, 267, 519, 2230, 1063, 519, 561, 1749, 4991, 3476, 607, 519, 2450, 540, 519, 7382, 4991, 3677, 563, 31535, 811, 827, 707, 23170, 7382, 267, 607, 1134, 607, 922, 561, 1749, 267, 786, 4217, 596, 538, 3246, 1732, 5826, 585, 873, 563, 763, 11957, 540, 18833, 519, 20028, 1063, 519, 1530, 10364, 26653, 779, 700, 1749, 454, 2791, 1522, 581, 6998, 1946, 621, 779, 4105, 547, 581, 3222, 540, 519, 23170, 7382, 779, 561, 1749, 538, 519, 1101, 1747, 269, 1772, 621, 2731, 1271, 547, 917, 1141, 519, 23170, 7382, 561, 1749, 616, 610, 875, 2484, 6306, 789, 616, 538, 519, 1439, 286, 898, 568, 2953, 602, 6616, 519, 4267, 547, 971, 2055, 786, 581, 6225, 538, 519, 1279, 2165, 269, 1703, 616, 1079, 3119, 4128, 1946, 21427, 1058, 1831, 811, 18164, 827, 23170, 7382, 561, 1749, 269, 1280, 26784, 267, 596, 786, 581, 8572, 547, 9585, 1454, 609, 707, 13452, 952, 596, 798, 711, 917, 1141, 519, 23170, 7382, 561, 1749, 616, 4092, 563, 268, 898, 568, 7543, 547, 581, 13680, 609, 873, 543, 2503, 873, 547, 2611, 538, 1434, 2783, 563, 268, 1403, 596, 3136, 547, 1118, 713, 5470, 267, 621, 786, 1152, 581, 513, 2339, 540, 942, 2394, 519, 561, 1749, 2253, 547, 17795, 563, 268, 4634, 952, 596, 616, 2111, 547, 2697, 519, 7745, 561, 1749, 2038, 593, 267, 596, 786, 1869, 581, 3743, 585, 519, 1942, 540, 5372, 906, 563, 268, 5851, 14935, 1058, 849, 2628, 3007, 547, 519, 561, 1749, 267, 2094, 789, 616, 4749, 519, 1101, 547, 5815, 602, 513, 1966, 609, 519, 23170, 7382, 814, 7018, 563, 268, 1403, 519, 23170, 7382, 568, 24492, 532, 610, 29572, 539, 267, 28067, 30851, 949, 2253, 547, 694, 788, 856, 998, 519, 561, 1749, 543, 883, 519, 4478, 1858, 563, 19741, 519, 27069, 4128, 267, 519, 5294, 596, 2308, 786, 849, 1616, 547, 917, 875, 2484, 2476, 519, 561, 1749, 616, 689, 835, 1776, 267, 952, 693, 782, 2009, 269, 11109, 606, 1620, 540, 519, 3845, 1063, 519, 561, 1749, 786, 948, 873, 547, 798, 741, 11645, 811, 3927, 2676, 1432, 1772, 519, 20028, 1063, 519, 1530, 10364, 26653, 700, 1749, 888, 5353, 10364, 7382, 19984, 19437, 568, 711, 3964, 693, 513, 1978, 3845, 6306, 269, 589, 1713, 3815, 538, 8159, 875, 2484, 6306, 519, 561, 1749, 1058, 581, 22274, 568, 519, 2450, 540, 519, 7382, 3294, 269, 1530, 10364, 13688, 2348, 513, 4390, 540, 476, 1911, 271, 17529, 610, 811, 616, 1419, 9280, 609, 561, 1749, 602, 616, 3670, 3952, 6306, 269, 1703, 616, 849, 930, 476, 1911, 271, 3766, 718, 517, 13688, 609, 561, 1749, 602, 616, 3670, 543, 513, 3368, 610, 1256, 5722, 3952, 6306, 689, 835, 1776, 593, 519, 2344, 269, 9603, 547, 519, 7839, 6165, 540, 476, 1911, 271, 3766, 718, 517, 13688, 538, 4036, 1878, 267, 621, 568, 2009, 602, 519, 13688, 3710, 593, 707, 3959, 786, 723, 561, 1749, 602, 616, 5258, 538, 713, 6073, 607, 1134, 563, 5611, 271, 3766, 718, 517, 13688, 609, 561, 1749, 602, 616, 5111, 5216, 3952, 6306, 616, 2139, 585, 6718, 563, 22102, 518, 23170, 13688, 267, 593, 519, 824, 1688, 267, 4043, 547, 723, 561, 1749, 602, 616, 6251, 1063, 982, 741, 3677, 13413, 563, 1692, 3509, 700, 1749, 6496, 513, 1530, 10364, 26653, 5620, 888, 310, 22736, 1472, 707, 13452, 267, 596, 949, 1294, 602, 972, 616, 513, 1906, 5848, 2127, 602, 723, 2919, 269, 1411, 2461, 4440, 24584, 547, 1294, 835, 610, 1079, 14927, 15649, 267, 855, 596, 1223, 5469, 513, 2603, 811, 982, 596, 1589, 269, 7073, 23170, 13688, 616, 9280, 609, 1082, 561, 1749, 269, 7073, 23170, 13688, 616, 2838, 547, 723, 513, 5934, 540, 1079, 6227, 269, 1717, 267, 972, 616, 1869, 13688, 602, 2308, 1614, 610, 811, 26561, 269, 5015, 267, 972, 568, 513, 7872, 602, 707, 23170, 7382, 814, 1152, 835, 3382 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1103, 2487, 1296, 267, 4119, 7757, 18712, 630, 2752, 264, 814, 7153, 607, 513, 13710, 2029, 602, 568, 18534, 12686, 519, 1259, 649, 1294, 543, 2170, 609, 519, 1158, 1472, 721, 269, 8121, 24025, 3059, 1543, 609, 938, 2168, 1604, 267, 7393, 938, 8226, 543, 3246, 15138, 2833, 269, 901, 2376, 7710, 519, 9759, 540, 8121, 607, 513, 2029, 267, 12116, 922, 1699, 6286, 585, 4213, 267, 543, 12538, 883, 519, 1713, 3255, 621, 6585, 585, 519, 2104, 267, 1312, 538, 938, 2123, 2729, 543, 585, 3549, 563, 13971, 7757, 18712, 568, 513, 2029, 602, 6772, 904, 3059, 1344, 267, 971, 607, 23877, 267, 8301, 267, 543, 688, 10364, 5955, 267, 5196, 519, 1483, 8996, 1604, 269, 898, 18252, 3457, 899, 16389, 267, 14342, 267, 5100, 14296, 267, 610, 9843, 1115, 547, 5838, 891, 2833, 269, 1635, 16900, 10128, 5691, 2609, 883, 938, 2168, 10450, 267, 8121, 10597, 938, 8226, 543, 5872, 609, 519, 1158, 912, 26670, 2331, 21436, 23800, 281, 8121, 3091, 3549, 519, 4316, 547, 1683, 2189, 543, 15138, 2833, 547, 5561, 269, 3245, 5691, 1374, 2833, 547, 7317, 1587, 23405, 267, 3301, 1646, 547, 2930, 1489, 543, 2866, 267, 8121, 6770, 606, 3063, 10155, 547, 519, 1259, 1004, 2170, 609, 2029, 543, 3301, 269, 1635, 1210, 8121, 267, 3755, 666, 2070, 543, 13861, 5691, 2609, 7471, 883, 741, 2168, 1604, 267, 7551, 2810, 1620, 267, 7607, 543, 5876, 538, 1022, 2361, 267, 8121, 13123, 519, 7934, 1063, 2228, 543, 22356, 10918, 267, 2810, 6278, 543, 6117, 6455, 563, 18719, 1386, 9751, 543, 4065, 281, 8121, 814, 519, 1761, 547, 22499, 2866, 543, 2069, 2066, 1585, 6080, 269, 3245, 1138, 6819, 1483, 3734, 7653, 585, 9441, 2866, 547, 2870, 7317, 3872, 1543, 585, 1053, 267, 8121, 6770, 1565, 547, 1272, 267, 5807, 1732, 8223, 543, 12802, 540, 1344, 563, 1805, 3195, 20040, 5071, 543, 5019, 19685, 281, 8121, 2636, 9858, 543, 8030, 547, 14650, 543, 13861, 3059, 30384, 1369, 513, 1483, 8996, 2796, 269, 901, 2029, 6087, 5488, 543, 811, 4977, 1374, 23200, 267, 6971, 2504, 3790, 267, 543, 10607, 519, 2949, 1587, 1646, 1184, 563, 1432, 2009, 23484, 543, 8441, 666, 649, 2503, 547, 1294, 538, 8121, 2029, 543, 875, 786, 621, 1711, 1007, 3255, 538, 1114, 9922, 286, 1215, 786, 8121, 3337, 519, 2104, 538, 1870, 543, 875, 786, 621, 22499, 3593, 2833, 888, 7230, 1774, 21664, 543, 9442, 281, 8121, 814, 519, 1761, 547, 2981, 6552, 5698, 676, 7175, 3838, 5691, 2833, 269, 3414, 8121, 14617, 7658, 20813, 17182, 267, 6552, 4600, 666, 2170, 609, 5691, 1285, 520, 1513, 267, 12840, 593, 3785, 538, 1483, 6066, 267, 543, 2671, 513, 2631, 540, 4527, 5103, 2168, 9883, 563, 13971, 7757, 16195, 281, 8121, 6585, 16854, 1761, 538, 519, 3782, 2872, 269, 31048, 976, 666, 6772, 599, 3461, 1239, 543, 2564, 9196, 5196, 741, 2361, 540, 2070, 1282, 5773, 267, 7393, 8856, 543, 4227, 519, 1981, 540, 6959, 269, 8121, 666, 849, 4217, 538, 2866, 2564, 4648, 267, 3246, 1483, 6066, 5583, 543, 1489, 1282, 1950, 5773, 563, 27319, 20079, 543, 32522, 281, 8121, 666, 22499, 519, 1259, 649, 6330, 543, 2170, 609, 4872, 269, 1635, 6772, 11691, 1483, 6066, 1344, 267, 971, 607, 8846, 267, 2199, 2798, 540, 1719, 267, 543, 1857, 6283, 10311, 267, 8121, 666, 3391, 721, 16900, 998, 4683, 5054, 267, 3246, 513, 10531, 543, 3608, 3593, 1995, 563, 1692, 666, 4213, 3927, 10244, 519, 1379, 540, 8121, 547, 2333, 6075, 6278, 267, 5397, 5647, 543, 2744, 513, 8013, 6316, 538, 2221, 781, 2344, 888, 1103, 2617, 566, 543, 27065, 281, 24371, 1058, 2263, 5499, 2081, 547, 6451, 8121, 883, 741, 2472, 267, 2533, 267, 543, 6725, 2994, 269, 1635, 16107, 519, 3860, 1761, 540, 8121, 267, 3549, 666, 16174, 2933, 538, 519, 2344, 267, 7001, 7082, 3007, 267, 543, 5838, 12300, 6216, 2833, 563, 5353, 600, 1652, 16949, 281, 8121, 1058, 581, 16900, 7471, 883, 4540, 3157, 543, 4066, 269, 1635, 4180, 17356, 609, 4122, 1031, 3457, 543, 5867, 267, 4213, 666, 11694, 3593, 10073, 543, 7753, 7496, 547, 7127, 563, 27165, 4211, 22834, 13979, 281, 14992, 1590, 9772, 513, 3593, 7266, 878, 1935, 950, 7598, 8121, 3435, 269, 4197, 519, 2115, 267, 7375, 267, 543, 5615, 540, 3755, 568, 2629, 585, 12419, 3407, 543, 16022, 8121, 2833, 602, 13469, 609, 6800, 563, 13971, 7757, 18712, 568, 18534, 12686, 938, 8226, 543, 5872, 609, 519, 1158, 267, 5356, 1007, 7399, 585, 4213, 543, 2043, 7567, 269, 2060, 922, 2702, 547, 3986, 6075, 2833, 267, 20928, 4238, 267, 543, 1711, 3209, 3255, 2066, 1585, 6080, 267, 8121, 568, 26405, 547, 22499, 519, 1259, 649, 960, 267, 1451, 267, 543, 2661, 269, 1635, 8508, 8121, 607, 513, 13710, 2029, 543, 3695, 922, 1761, 3156, 267, 4213, 666, 3251, 6619, 540, 519, 7455, 267, 12260, 1007, 8907, 12535, 267, 543, 1711, 15138, 2833, 602, 25407, 543, 4497, 9458, 538, 519, 3059, 2085, 269, 0, 28350, 2572, 5097, 3049, 593, 3574, 267, 855, 849, 3441, 1957, 267, 2835, 267, 13471, 267, 543, 1256, 10977, 7535, 13274, 619, 543, 19288, 1949, 269, 12910, 2572, 666, 3614, 675, 2713, 4054, 543, 19211, 267, 855, 811, 1419, 616, 513, 6281, 1045, 14575, 540, 29762, 2371, 2907, 538, 7771, 269, 2755, 5656, 949, 1831, 1102, 6479, 693, 1022, 942, 267, 30412, 616, 540, 1880, 2956, 950, 9140, 610, 9513, 513, 1753, 2094, 513, 2165, 924, 14791, 270, 8882, 652, 566, 1867, 568, 7363, 513, 2783, 540, 9042, 269, 14755, 519, 13075, 1764, 267, 5215, 540, 13617, 539, 30412, 6932, 3330, 835, 779, 1753, 616, 606, 14156, 3843, 1995, 2443, 711, 547, 2446, 519, 2219, 540, 30412, 3623, 1836, 905, 8463, 593, 835, 779, 4102, 5092, 269, 12910, 924, 1673, 600, 3042, 3574, 568, 2356, 17860, 539, 856, 2059, 519, 10286, 267, 609, 11353, 540, 12015, 16095, 610, 3037, 16298, 519, 8023, 26847, 269, 8381, 8697, 676, 7509, 610, 824, 2010, 540, 7786, 630, 324, 3052, 1421, 15790, 10938, 17605, 264, 786, 711, 723, 713, 5920, 269, 12769, 31531, 30412, 16004, 6263, 9475, 998, 29147, 610, 3819, 13665, 267, 10483, 676, 11353, 540, 3037, 1472, 519, 14345, 269, 681, 2089, 1194, 610, 3141, 5287, 15244, 3297, 3774, 3382, 902, 666, 849, 581, 22566, 540, 30412, 15993, 532, 18284, 269, 744, 1111, 550, 1307, 972, 786, 581, 1100, 7298, 16315, 602, 519, 1753, 568, 1102, 6479, 269, 12910, 2572, 616, 6939, 545, 7068, 543, 28383, 666, 979, 32373, 539, 585, 1296, 267, 6456, 3297, 6821, 267, 6989, 3382, 902, 267, 13471, 267, 543, 824, 6188, 15297, 269, 12910, 924, 8023, 543, 3441, 666, 1256, 3356, 32373, 539, 538, 3574, 602, 568, 6534, 1317, 519, 9018, 2627, 568, 2356, 2451, 16856, 269, 0, 763, 2480, 574, 10560, 568, 513, 17208, 18156, 609, 513, 1279, 543, 3638, 1686, 538, 1082, 4529, 269, 4934, 540, 891, 267, 972, 616, 513, 1906, 11599, 1085, 574, 527, 1513, 1572, 519, 1079, 26370, 2480, 574, 10560, 540, 519, 5101, 267, 849, 1634, 607, 519, 14686, 2480, 574, 10560, 269, 901, 14049, 568, 513, 20100, 540, 23477, 267, 543, 513, 3090, 540, 1379, 602, 814, 6273, 1082, 17691, 543, 8941, 563, 4131, 781, 2263, 519, 14686, 2480, 574, 10560, 781, 8129, 267, 2934, 267, 543, 4644, 543, 5490, 883, 930, 540, 922, 1034, 8037, 29937, 619, 543, 12959, 269, 3245, 17936, 547, 30111, 267, 519, 1079, 26370, 2480, 574, 10560, 814, 2451, 922, 1665, 593, 519, 1158, 540, 4666, 31586, 32639, 563, 15371, 596, 616, 513, 21689, 610, 513, 1686, 10889, 267, 596, 786, 1265, 1945, 9159, 538, 519, 7793, 1664, 540, 713, 18156, 269, 1924, 267, 1577, 781, 5667, 515, 7752, 519, 14686, 1079, 26370, 2480, 574, 10560, 543, 3605, 922, 11580, 1927, 563, 763, 17959, 281, 32274, 634, 9147, 3778, 1656, 12472, 2986, 634, 16458, 569, 2480, 574, 10560, 4210, 867, 454, 22517, 8463, 513, 9159, 543, 3573, 1686, 17364, 5215, 540, 1296, 267, 519, 2480, 574, 10560, 267, 513, 24037, 14049, 267, 568, 14360, 547, 3504, 30111, 269, 1703, 267, 621, 729, 8246, 607, 513, 1907, 543, 14049, 676, 519, 9930, 19631, 11031, 602, 887, 3139, 519, 3148, 563, 7021, 942, 267, 519, 2480, 574, 10560, 2968, 513, 3090, 540, 1379, 543, 31449, 1851, 519, 14655, 18211, 7100, 269, 634, 18211, 7100, 20827, 4487, 17051, 19431, 338, 547, 4739, 519, 20923, 1806, 540, 713, 14686, 14049, 563, 2026, 30111, 781, 3310, 3262, 2429, 519, 5664, 5101, 543, 3345, 4000, 267, 865, 1705, 519, 14686, 2480, 574, 10560, 269, 898, 2968, 513, 20013, 540, 1082, 20679, 543, 24271, 523, 2456, 267, 17028, 7458, 585, 922, 17208, 16405, 543, 11108, 5969, 1379, 269, 2782, 19144, 1131, 29937, 519, 2480, 574, 10560, 538, 835, 1688, 543, 513, 13104, 538, 519, 824, 267, 12123, 883, 6370, 609, 23773, 3196, 563, 7628, 519, 476, 1724, 628, 2540, 267, 519, 15216, 11169, 22983, 30111, 543, 4547, 741, 2480, 574, 10560, 4528, 267, 2966, 547, 581, 1031, 593, 7504, 3724, 269, 898, 3366, 547, 519, 1646, 540, 14402, 543, 811, 26227, 1085, 574, 527, 1513, 602, 1223, 581, 1031, 538, 2673, 6709, 11467, 8396, 563, 1103, 519, 5553, 602, 4553, 267, 519, 14686, 2480, 574, 10560, 4718, 2962, 538, 1082, 12959, 543, 7526, 269, 898, 729, 1031, 676, 12724, 19470, 267, 16368, 21847, 267, 543, 1256, 31503, 269, 634, 2063, 1634, 946, 540, 519, 2480, 574, 10560, 538, 6370, 729, 676, 519, 16368, 7276, 1282, 519, 3689, 2622, 2782, 269, 4653, 267, 519, 9371, 540, 519, 14686, 2480, 574, 10560, 2729, 593, 267, 11121, 18156, 12439, 543, 18798, 540, 1686, 1472, 519, 8608, 563, 21430, 2986, 634, 5565, 6953, 663, 539, 2480, 574, 10560, 4210, 867, 454, 763, 14686, 1079, 26370, 2480, 574, 10560, 568, 513, 20100, 540, 23477, 1500, 609, 519, 20923, 2326, 543, 2553, 269, 12456, 2444, 639, 5374, 568, 519, 9053, 1570, 547, 1711, 713, 17208, 543, 24037, 16405, 267, 1634, 585, 922, 9120, 4222, 543, 5898, 563, 3080, 811, 2027, 1570, 568, 1572, 4400, 12539, 476, 11820, 276, 13082, 269, 898, 781, 1634, 585, 9363, 8325, 1134, 543, 1373, 1360, 9157, 269, 1452, 2326, 941, 5402, 13603, 1317, 789, 723, 2189, 7907, 602, 1118, 873, 1390, 585, 1818, 2480, 574, 527, 1513, 269, 5047, 267, 789, 3747, 513, 4999, 540, 32297, 267, 8325, 1145, 267, 543, 15325, 563, 5649, 593, 547, 1205, 5432, 609, 519, 2326, 543, 13167, 1184, 593, 519, 19416, 1079, 26370, 2480, 574, 527, 1513, 563, 291, 600, 2444, 639, 5374, 568, 513, 4496, 12021, 585, 922, 8984, 4806, 602, 14340, 689, 519, 20367, 6106, 540, 4401, 543, 5374, 269, 901, 4999, 2488, 9120, 32297, 543, 8325, 1145, 267, 1818, 621, 606, 5140, 3903, 585, 1085, 574, 527, 1513, 563, 11947, 12539, 476, 11820, 276, 13082, 568, 1776, 1164, 7779, 267, 23163, 1570, 17028, 7458, 585, 922, 11108, 6316, 12802, 543, 4187, 547, 14809, 269, 8625, 267, 891, 2326, 1711, 513, 2178, 267, 8325, 1085, 574, 10560, 543, 513, 4190, 960, 540, 1148, 563, 3963, 3657, 1452, 10049, 2776, 31084, 888, 10303, 540, 741, 14222, 2168, 3601, 267, 12456, 2444, 639, 543, 4400, 12539, 476, 11820, 276, 13082, 616, 9053, 585, 1085, 574, 10560, 32639, 269, 12456, 2444, 639, 24025, 3327, 543, 4401, 585, 32297, 267, 1247, 4400, 12539, 476, 11820, 276, 13082, 3091, 12021, 21052, 543, 4222, 563, 12234, 267, 891, 2326, 616, 2653, 547, 3337, 543, 585, 613, 267, 3850, 29048, 547, 4739, 6946, 543, 2189, 6272, 563, 3963, 3657, 2480, 574, 527, 1513, 4354, 1386, 888, 9928, 574, 527, 1513, 616, 17208, 1317, 621, 2337, 873, 2759, 1732, 269, 634, 7455, 2306, 519, 16405, 5734, 811, 540, 519, 3077, 267, 4929, 4514, 11912, 269, 898, 849, 13071, 519, 16405, 1847, 12347, 585, 2656, 16716, 543, 2242, 538, 4287, 563, 11101, 267, 519, 3337, 2337, 519, 3196, 1445, 593, 513, 4130, 1858, 267, 1818, 621, 1732, 693, 8840, 998, 24915, 269, 4658, 2966, 519, 7455, 936, 942, 547, 1118, 519, 18156, 960, 1134, 538, 12959, 563, 290, 2761, 532, 513, 1079, 26370, 1085, 574, 10560, 18156, 568, 513, 4074, 1190, 1184, 602, 7569, 519, 5578, 543, 9639, 540, 513, 4487, 17051, 19431, 269, 898, 3322, 519, 3268, 5018, 2630, 912, 268, 634, 4496, 6106, 616, 25649, 543, 585, 3022, 547, 1711, 519, 5551, 3337, 543, 4806, 563, 268, 2991, 602, 267, 519, 16405, 568, 844, 523, 3481, 543, 10917, 1229, 547, 3986, 922, 4222, 543, 15006, 269, 4495, 519, 16405, 568, 4712, 267, 519, 554, 2830, 267, 533, 2174, 601, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 19572, 341, 269, 754, 4590, 258, 604, 526, 1030, 10396, 299, 12114, 318, 297, 11070, 12283, 454, 258, 3698, 710, 3181, 1872, 3287, 264, 524, 20482, 28843, 258, 343, 28843, 257, 834, 282, 9041, 2745, 3287, 5148, 524, 20482, 28843, 333, 1467, 3248, 258, 12828, 454, 258, 3698, 710, 3181, 1872, 3287, 11850, 258, 754, 604, 454, 341, 1355, 9041, 2745, 263, 961, 1535, 264, 346, 1356, 337, 28843, 343, 282, 8679, 341, 1355, 9041, 2745, 30415, 1535, 264, 346, 1356, 337, 28843, 343, 282, 8679, 339, 6374, 622, 283, 5035, 570, 267, 5035, 966, 285, 20704, 9041, 2745, 9638, 1515, 283, 307, 267, 309, 285, 533, 264, 2715, 1356, 337, 28843, 257, 346, 21968, 9041, 2745, 9638, 8807, 1009, 5148, 1356, 337, 28843, 14824, 282, 9041, 2745, 9638, 269, 16149, 5148, 1356, 337, 28843, 257, 348, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 341, 1355, 9041, 2745, 263, 19066, 283, 307, 285, 642, 264, 2715, 1356, 337, 28843, 257, 1496, 834, 282, 585, 630, 307, 1775, 281, 341, 264, 346, 318, 2745, 9217, 5148, 1356, 337, 28843, 257, 834, 282, 348, 1356, 337, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 341, 1355, 9041, 2745, 263, 3553, 283, 307, 285, 642, 264, 2715, 1356, 337, 28843, 257, 1496, 834, 282, 585, 630, 307, 1775, 281, 341, 264, 346, 318, 2745, 9217, 5148, 524, 20482, 28843, 257, 834, 282, 348, 1356, 337, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 341, 1355, 9041, 2745, 9852, 738, 529, 564, 283, 307, 285, 642, 264, 2715, 1356, 337, 28843, 834, 1496, 834, 282, 585, 630, 307, 1775, 281, 341, 264, 346, 318, 2745, 9217, 5148, 1356, 337, 28843, 257, 834, 282, 348, 1356, 337, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 267, 5035, 966, 285, 341, 1355, 9041, 2745, 9852, 777, 283, 307, 267, 966, 285, 642, 264, 2715, 1356, 337, 28843, 257, 1496, 834, 282, 585, 263, 2246, 334, 1775, 281, 341, 264, 2715, 318, 2745, 9217, 5148, 1356, 337, 28843, 257, 834, 282, 348, 524, 20482, 28843, 19312, 21968, 8679, 339, 6374, 622, 283, 5035, 570, 285, 1210, 522, 3553, 284, 29728, 283, 307, 267, 14275, 25292, 267, 1447, 283, 307, 285, 267, 678, 321, 4671, 872, 4671, 698, 267, 3529, 318, 4650, 14067, 520, 2524, 17045, 318, 26303, 285, 3248, 339, 6374, 622, 283, 5035, 570, 285, 1210, 15273, 657, 564, 284, 29728, 283, 307, 267, 14275, 25292, 267, 1447, 318, 16029, 283, 307, 285, 267, 678, 321, 4671, 872, 4671, 698, 267, 3529, 318, 4650, 14067, 520, 2524, 17045, 318, 26303, 285, 3248, 2260, 5785, 5785, 5785, 5785, 24801, 9339, 454, 6247, 26270, 26827, 284, 272, 324, 280, 266, 278, 3248, 6247, 26270, 10790, 311, 284, 4335, 4335, 3248, 341, 1355, 4194, 3890, 19127, 961, 562, 282, 14557, 9563, 333, 3248, 961, 561, 284, 272, 267, 337, 284, 333, 3248, 19066, 283, 961, 285, 513, 3799, 266, 276, 267, 271, 11850, 1721, 263, 961, 1775, 284, 333, 282, 328, 285, 284, 272, 282, 328, 734, 264, 19127, 604, 9230, 328, 261, 272, 264, 2525, 263, 333, 261, 272, 4297, 19127, 320, 5157, 24557, 337, 734, 3248, 8679, 12828, 19127, 320, 5157, 24557, 331, 10030, 3248, 8679, 8679, 1721, 263, 961, 1775, 284, 272, 282, 328, 27045, 333, 282, 328, 10030, 264, 19127, 322, 719, 28843, 320, 5157, 316, 28843, 257, 1422, 333, 257, 314, 328, 2525, 333, 30092, 8679, 8873, 3248, 8679, 842, 1292, 4590, 19127, 3930, 10734, 848, 15311, 27675, 322, 318, 5976, 14067, 323, 1470, 6600, 4426, 11850, 11142, 6745, 773, 18217, 26097, 11850, 258, 604, 526, 1030, 10396, 299, 12114, 318, 297, 11070, 12283, 454, 325, 516, 13449, 2891, 6358, 17902, 2580, 834, 337, 2580, 588, 19734, 11850, 325, 516, 13449, 2891, 16059, 17902, 2580, 834, 342, 2580, 31901, 719, 11850, 325, 516, 13449, 2891, 19587, 17902, 2580, 834, 342, 2580, 588, 1457, 337, 11850, 258, 754, 604, 454, 961, 1449, 6831, 1162, 284, 272, 3248, 11142, 9563, 11687, 6831, 1162, 3248, 6112, 6025, 652, 6831, 1162, 734, 264, 19127, 338, 9876, 3890, 3248, 8679, 322, 719, 28843, 325, 12089, 28843, 3553, 2181, 17800, 263, 1428, 11850, 1356, 337, 28843, 257, 11742, 281, 257, 28843, 1911, 271, 265, 9230, 29602, 264, 22018, 3890, 19422, 29602, 264, 12710, 8016, 16775, 318, 25807, 318, 306, 4488, 28843, 257, 916, 14826, 257, 3248, 10926, 29394, 658, 626, 781, 8827, 454, 258, 514, 2850, 834, 23605, 23995, 26501, 10030, 269, 327, 4840, 6748, 4408, 10628, 31901, 3248, 258, 3698, 710, 26270, 1279, 1279, 454, 258, 3698, 710, 533, 321, 7903, 318, 3724, 454, 258, 3698, 710, 782, 263, 318, 28128, 264, 9041, 28128, 269, 8218, 19572, 9041, 28128, 269, 754, 4590, 258, 3698, 710, 674, 1101, 454, 258, 3698, 710, 590, 2034, 454, 258, 3698, 710, 726, 331, 6292, 283, 961, 267, 26270, 11417, 258, 3698, 710, 642, 961, 6152, 283, 961, 11417, 961, 5442, 293, 815, 476, 272, 324, 1240, 3248, 6247, 703, 715, 815, 476, 272, 324, 276, 1341, 476, 1556, 267, 1110, 815, 476, 272, 324, 280, 1341, 476, 278, 3248, 961, 3193, 263, 961, 513, 267, 26270, 536, 264, 2715, 2132, 16733, 320, 3436, 536, 264, 7790, 513, 2433, 536, 5148, 7684, 454, 961, 1295, 263, 961, 513, 267, 26270, 536, 264, 2715, 2132, 16733, 320, 3436, 536, 264, 7790, 536, 2433, 513, 5148, 7684, 454, 341, 1355, 1151, 17635, 1355, 994, 19127, 842, 562, 3248, 11142, 23645, 562, 3248, 842, 2855, 19559, 3910, 561, 815, 476, 272, 267, 678, 815, 562, 3248, 1721, 630, 842, 1775, 815, 562, 910, 476, 272, 282, 1775, 13843, 476, 271, 282, 1775, 20699, 476, 273, 994, 19127, 1551, 5157, 316, 815, 561, 10030, 3248, 604, 630, 328, 910, 476, 272, 13843, 476, 271, 994, 1551, 5157, 910, 476, 272, 316, 815, 678, 734, 3248, 8679, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 994, 322, 719, 24177, 2855, 5157, 316, 24177, 1412, 1412, 3248, 322, 719, 24177, 1412, 315, 333, 262, 3248, 8873, 3248, 8679, 842, 1292, 4590, 19127, 3930, 10734, 848, 15311, 27675, 322, 318, 5976, 14067, 323, 1470, 6600, 4426, 11850, 11142, 6745, 773, 18217, 26097, 1070, 524, 719, 6745, 773, 18217, 26097, 11850, 842, 1449, 815, 476, 272, 3248, 11142, 23645, 1449, 3248, 6112, 630, 11687, 734, 994, 338, 565, 3890, 3248, 348, 0, 4517, 320, 1019, 10300, 16120, 476, 272, 323, 926, 476, 275, 692, 258, 11682, 22076, 12903, 667, 13048, 2433, 4147, 24163, 692, 1012, 21096, 6579, 312, 11553, 3722, 2316, 4753, 11550, 25770, 5960, 692, 19489, 715, 12569, 454, 4905, 454, 307, 8008, 2975, 2433, 11123, 4753, 454, 272, 269, 2201, 7311, 513, 3196, 593, 513, 3001, 1843, 267, 538, 519, 1482, 4287, 538, 799, 621, 729, 3001, 267, 649, 1265, 602, 454, 10490, 264, 519, 3845, 4988, 676, 621, 538, 513, 2016, 8884, 540, 942, 4679, 563, 16360, 264, 519, 3845, 4988, 676, 621, 538, 513, 2016, 8884, 540, 942, 11081, 563, 18154, 264, 3001, 1843, 2242, 922, 4287, 563, 20573, 264, 621, 8952, 593, 3001, 609, 519, 1482, 3432, 607, 4505, 563, 273, 269, 623, 13024, 1265, 621, 2653, 547, 4163, 4452, 609, 9962, 1858, 593, 519, 2212, 1317, 519, 2604, 568, 454, 10490, 264, 2799, 269, 630, 289, 264, 4389, 563, 18154, 264, 3152, 982, 1354, 269, 630, 291, 264, 4642, 563, 274, 269, 634, 3196, 4294, 547, 1491, 856, 519, 13594, 689, 513, 26025, 8546, 568, 606, 1383, 540, 454, 10490, 264, 16757, 3196, 269, 630, 289, 264, 6419, 3196, 563, 18154, 264, 14965, 3196, 269, 630, 291, 264, 6850, 18878, 3196, 563, 275, 269, 634, 6240, 540, 3046, 10309, 729, 1101, 2919, 676, 519, 10196, 454, 10490, 264, 8776, 878, 22088, 269, 630, 289, 264, 623, 26696, 563, 18154, 264, 5246, 574, 26433, 269, 630, 291, 264, 13053, 563, 276, 269, 589, 7911, 568, 4881, 2509, 513, 7077, 11604, 609, 3432, 476, 736, 20444, 454, 268, 272, 454, 269, 1306, 2938, 676, 519, 7911, 267, 519, 3239, 7575, 454, 5976, 519, 3432, 540, 454, 10490, 264, 476, 736, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 269, 630, 289, 264, 476, 2412, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 563, 18154, 264, 476, 2568, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 269, 630, 291, 264, 476, 3199, 20444, 454, 268, 272, 454, 339, 578, 1841, 1864, 563, 277, 269, 1879, 513, 1268, 568, 7092, 689, 25942, 716, 267, 519, 4299, 851, 540, 519, 3750, 568, 454, 10490, 264, 32640, 269, 630, 289, 264, 31894, 563, 18154, 264, 524, 18416, 4887, 269, 630, 291, 264, 3750, 7828, 563, 278, 269, 589, 476, 1911, 271, 4846, 14903, 3001, 609, 513, 3432, 540, 476, 736, 544, 4882, 568, 4547, 547, 1964, 1369, 513, 3845, 540, 476, 2004, 544, 676, 454, 1952, 2391, 26039, 602, 1683, 7833, 29472, 566, 563, 10490, 264, 634, 29472, 566, 815, 476, 273, 544, 521, 454, 268, 273, 454, 16360, 264, 634, 29472, 566, 815, 476, 275, 544, 521, 454, 268, 273, 454, 18154, 264, 4825, 8973, 3196, 284, 476, 6110, 271, 715, 630, 291, 264, 4825, 8973, 3196, 284, 476, 8517, 271, 715, 454, 279, 269, 1879, 1426, 21168, 616, 12628, 689, 606, 8484, 2676, 10490, 264, 789, 5734, 519, 2666, 19794, 2630, 519, 8484, 563, 16360, 264, 789, 2887, 593, 519, 2666, 3297, 519, 8484, 338, 2990, 563, 18154, 264, 789, 2887, 593, 519, 2666, 2417, 6619, 563, 20573, 264, 789, 666, 2887, 9170, 593, 519, 2666, 563, 280, 269, 589, 3440, 540, 2527, 476, 271, 269, 276, 4846, 3001, 609, 513, 6991, 540, 476, 273, 544, 270, 5913, 16716, 513, 3774, 7363, 543, 536, 25555, 1394, 454, 5976, 519, 1482, 3432, 269, 1403, 519, 942, 540, 3346, 1063, 519, 3440, 543, 519, 3774, 568, 835, 1984, 1047, 1718, 267, 519, 454, 320, 2071, 3196, 25116, 676, 519, 3774, 593, 519, 3440, 568, 454, 10490, 264, 476, 1220, 271, 715, 269, 630, 289, 264, 476, 1911, 271, 715, 269, 630, 290, 264, 476, 4335, 715, 269, 630, 291, 264, 476, 10219, 715, 563, 1015, 269, 1879, 513, 7504, 27605, 513, 530, 6782, 267, 519, 3196, 602, 3123, 519, 7504, 547, 1847, 4464, 568, 519, 3196, 2676, 10490, 264, 519, 7504, 11851, 338, 593, 519, 530, 6782, 269, 630, 289, 264, 519, 530, 6782, 11851, 338, 593, 519, 7504, 563, 18154, 264, 519, 7504, 11851, 338, 593, 519, 2666, 269, 630, 291, 264, 519, 2666, 11851, 338, 593, 519, 7504, 563, 263, 272, 4460, 994, 1556, 269, 1403, 3196, 9117, 593, 476, 273, 4703, 540, 13999, 476, 274, 4846, 543, 476, 1240, 4846, 568, 1482, 267, 1287, 1265, 519, 5223, 540, 519, 10231, 454, 335, 22004, 538, 873, 563, 10490, 264, 476, 277, 2433, 476, 272, 630, 289, 264, 476, 272, 2433, 476, 277, 630, 290, 264, 476, 273, 2433, 476, 277, 630, 291, 264, 476, 277, 2433, 476, 273, 454, 573, 15686, 276, 4097, 2641, 7824, 300, 22389, 676, 16340, 30516, 12229, 910, 513, 1390, 7300, 5856, 256, 910, 513, 1390, 7300, 17082, 256, 910, 5291, 2517, 4178, 15005, 332, 22389, 2593, 5291, 2517, 4178, 12500, 5802, 30516, 2593, 454, 1321, 269, 590, 7534, 1140, 2851, 513, 2597, 540, 476, 273, 310, 609, 519, 11308, 3625, 5116, 593, 519, 2627, 540, 519, 3349, 998, 519, 454, 628, 1348, 8429, 936, 519, 5102, 2917, 269, 634, 3196, 25116, 593, 519, 11308, 3625, 786, 581, 3160, 547, 476, 273, 310, 952, 454, 10490, 264, 972, 568, 1100, 3350, 540, 519, 3625, 563, 16360, 264, 972, 568, 1100, 11508, 538, 519, 5102, 2917, 563, 18154, 264, 972, 568, 1100, 11508, 538, 519, 5102, 2917, 543, 972, 568, 1100, 535, 2774, 1308, 3196, 1063, 519, 2627, 540, 519, 3349, 454, 663, 519, 2627, 540, 519, 3625, 563, 20573, 264, 972, 568, 1100, 535, 2774, 1308, 3196, 1063, 519, 2627, 540, 519, 3349, 543, 519, 2627, 540, 519, 3625, 563, 1724, 269, 6904, 540, 519, 1739, 3196, 568, 711, 13590, 538, 2470, 15017, 10490, 264, 570, 3290, 538, 513, 5569, 630, 289, 264, 13379, 540, 513, 1560, 454, 18154, 264, 4432, 2880, 3196, 538, 5614, 630, 291, 264, 10414, 540, 11508, 454, 1691, 269, 589, 8880, 3196, 540, 476, 1911, 715, 6411, 593, 513, 1560, 799, 568, 693, 1964, 269, 1548, 568, 519, 3196, 540, 11508, 1063, 519, 454, 7853, 543, 519, 6989, 15017, 10490 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1015, 799, 3568, 782, 519, 546, 14442, 531, 6119, 543, 1463, 1559, 269, 3767, 519, 9115, 540, 713, 15682, 616, 6410, 883, 519, 16814, 15682, 609, 519, 1739, 4971, 563, 332, 341, 546, 14442, 531, 268, 277, 269, 1015, 270, 265, 546, 14442, 531, 268, 277, 269, 1015, 28918, 6255, 17739, 1315, 12534, 270, 4178, 270, 6255, 6447, 454, 763, 631, 309, 4971, 454, 303, 1069, 3827, 1677, 3136, 519, 7746, 1590, 581, 2016, 1394, 922, 11979, 568, 2232, 865, 1586, 689, 519, 3597, 15682, 1826, 1062, 8410, 14808, 5991, 564, 1740, 269, 4964, 674, 1321, 543, 16924, 7696, 519, 11979, 28258, 2232, 476, 4572, 269, 12739, 269, 271, 269, 1015, 607, 1134, 607, 4657, 519, 3060, 740, 1986, 1394, 547, 29135, 269, 8921, 5299, 519, 9949, 15630, 14005, 21703, 3758, 883, 519, 5468, 21703, 3758, 538, 519, 1315, 12534, 270, 4178, 270, 6255, 6447, 4882, 2572, 270, 29239, 15682, 543, 2285, 621, 2407, 27704, 630, 577, 7116, 476, 6507, 278, 5468, 21703, 1916, 1103, 519, 1482, 15682, 1711, 513, 1016, 1673, 1311, 800, 1572, 6119, 269, 901, 786, 1450, 585, 14202, 532, 6119, 547, 519, 3896, 543, 649, 666, 2285, 2407, 27704, 607, 1134, 563, 32476, 519, 9949, 15630, 14005, 21703, 3758, 883, 519, 5468, 21703, 3758, 454, 9202, 1930, 909, 1714, 3855, 689, 519, 7746, 543, 1826, 538, 5291, 2517, 29985, 10676, 1547, 634, 1739, 2985, 568, 10268, 912, 9202, 1930, 909, 519, 23001, 2135, 11422, 538, 519, 7817, 543, 1826, 5291, 2517, 4572, 269, 12739, 269, 271, 269, 1015, 543, 2046, 4283, 563, 12812, 593, 1142, 540, 519, 1739, 547, 2347, 10380, 10778, 13729, 909, 519, 6538, 454, 8620, 519, 6538, 538, 519, 7746, 1547, 17616, 1826, 538, 519, 4971, 3028, 544, 903, 336, 671, 1376, 547, 1376, 544, 903, 27942, 269, 3973, 14764, 513, 10957, 585, 3597, 1210, 519, 1739, 4971, 544, 903, 336, 19921, 2381, 1107, 340, 3597, 1107, 335, 10957, 21189, 547, 544, 903, 27942, 544, 903, 27942, 1107, 340, 3597, 1107, 335, 454, 7661, 1711, 519, 6538, 1210, 519, 4971, 595, 3918, 12442, 667, 2969, 5723, 17955, 546, 14442, 531, 318, 22563, 27219, 8863, 2752, 3722, 9898, 590, 4953, 2048, 583, 325, 279, 20371, 8620, 519, 6538, 538, 519, 7746, 454, 12988, 547, 519, 667, 14442, 531, 4762, 580, 4851, 8921, 979, 547, 519, 11422, 543, 3136, 519, 546, 14442, 531, 12122, 8437, 532, 593, 1305, 909, 513, 6538, 269, 9373, 538, 519, 1482, 27024, 267, 6538, 543, 10957, 563, 27087, 519, 2328, 27704, 593, 519, 5468, 21703, 3758, 676, 2469, 547, 519, 7746, 543, 3257, 513, 669, 7116, 476, 27898, 563, 12988, 693, 519, 11422, 519, 2012, 543, 4757, 3877, 616, 9411, 281, 2201, 29957, 1524, 519, 2985, 519, 6967, 3877, 616, 4904, 538, 1287, 10710, 563, 763, 1889, 4635, 519, 23070, 9184, 519, 3896, 729, 2688, 2213, 547, 1689, 519, 6249, 547, 6095, 1633, 1287, 930, 1543, 729, 3773, 563, 13286, 27561, 2982, 519, 9949, 5470, 602, 786, 581, 10268, 952, 513, 2985, 568, 711, 1336, 610, 1569, 568, 17792, 563, 20376, 12053, 17972, 10778, 763, 4567, 1867, 2982, 875, 519, 1585, 3156, 723, 1044, 1305, 909, 543, 616, 8647, 7157, 563, 1103, 519, 9949, 3758, 513, 669, 7116, 476, 27898, 5468, 21703, 4971, 2242, 1394, 519, 2328, 27704, 593, 519, 943, 335, 3758, 563, 290, 1258, 568, 27358, 607, 829, 6516, 2630, 269, 595, 1258, 568, 1271, 538, 667, 14442, 531, 607, 11974, 585, 10311, 607, 1134, 607, 23332, 5826, 4247, 693, 1808, 11996, 563, 7709, 307, 5723, 299, 2464, 281, 634, 1739, 4971, 729, 3773, 547, 519, 1775, 696, 1963, 547, 2061, 2348, 547, 2490, 1055, 1775, 696, 1963, 1169, 5503, 693, 18849, 909, 269, 2060, 2543, 547, 3354, 267, 621, 1152, 2636, 512, 31983, 6808, 998, 519, 31216, 593, 2823, 476, 3199, 269, 3597, 287, 29985, 10676, 1948, 524, 323, 1315, 31756, 4882, 903, 935, 14808, 3597, 287, 29985, 10676, 19523, 935, 14808, 1948, 19274, 1775, 696, 1963, 1826, 538, 519, 1739, 1899, 1354, 519, 1101, 1107, 288, 681, 295, 4341, 454, 5025, 5442, 303, 7473, 910, 338, 476, 4572, 269, 12739, 269, 271, 269, 271, 270, 2190, 910, 335, 512, 31983, 910, 332, 512, 31983, 4534, 323, 1636, 476, 3199, 910, 329, 8028, 4753, 8976, 0, 306, 13996, 5691, 1436, 568, 519, 15652, 532, 540, 513, 2168, 7746, 883, 4130, 5691, 13763, 547, 948, 11694, 707, 7746, 2200, 269, 769, 7746, 5691, 1436, 519, 2200, 540, 519, 7746, 3294, 616, 6456, 267, 610, 9633, 539, 267, 689, 3755, 267, 543, 3301, 568, 1031, 547, 7941, 519, 2168, 7746, 883, 2789, 5691, 5054, 267, 1572, 5691, 610, 4357, 13763, 269, 901, 568, 538, 4334, 547, 4142, 21899, 835, 7746, 547, 513, 2582, 3498, 610, 4305, 563, 13349, 21964, 540, 18218, 14044, 1436, 454, 3080, 1455, 6165, 540, 713, 2029, 568, 538, 5680, 13763, 269, 4635, 5691, 5680, 13763, 568, 513, 2442, 1259, 547, 1683, 1970, 21057, 5680, 16475, 2533, 269, 5502, 540, 8506, 513, 5094, 2780, 585, 1142, 5680, 7746, 267, 19421, 540, 5691, 13763, 666, 1071, 9113, 728, 593, 519, 1482, 2780, 563, 19119, 540, 18218, 14044, 1436, 454, 306, 13996, 5691, 1436, 814, 1082, 2640, 269, 1280, 1383, 267, 621, 13071, 1142, 5691, 7746, 2196, 922, 1378, 5665, 1062, 543, 1142, 5691, 7746, 666, 849, 581, 10446, 6450, 2393, 539, 540, 835, 1776, 269, 18218, 5691, 1436, 849, 6971, 3790, 1317, 1447, 8800, 568, 2838, 865, 602, 4805, 17990, 513, 1870, 2724, 563, 306, 13996, 5691, 1436, 849, 11122, 525, 2230, 998, 28051, 607, 1896, 6191, 666, 581, 19597, 730, 883, 835, 7746, 4881, 2789, 5691, 5054, 269, 898, 849, 18252, 2200, 547, 519, 2407, 652, 865, 621, 666, 849, 4688, 593, 10512, 3790, 630, 324, 3052, 269, 1210, 513, 2539, 1297, 540, 2168, 13763, 6971, 8800, 5826, 1916, 9596, 519, 3017, 1063, 7746, 543, 18376, 5691, 1436, 563, 9596, 811, 827, 7746, 5691, 1436, 593, 18218, 19400, 2593, 563, 268, 13772, 13096, 14212, 781, 9375, 6276, 7395, 340, 790, 9793, 5180, 14456, 5717, 609, 10509, 4966, 689, 3549, 971, 607, 6452, 550, 675, 267, 667, 749, 267, 9791, 8614, 753, 8416, 267, 9786, 543, 811, 19314, 2414, 1118, 519, 14164, 1312, 960, 543, 2628, 1055, 267, 8668, 568, 5104, 31227, 18175, 15665, 543, 2679, 813, 7266, 878, 5121, 267, 11837, 856, 1007, 1239, 4099, 25121, 543, 1862, 3367, 2859, 9732, 1432, 1411, 5213, 1405, 3367, 2052, 670, 4669, 1411, 454, 9989, 713, 3280, 5432, 286, 1323, 2228, 3028, 14767, 547, 948, 707, 1507, 1870, 2759, 3790, 267, 2333, 7607, 267, 1118, 707, 6995, 543, 3802, 707, 1862, 3367, 2859, 9732, 8005, 781, 25021, 589, 3650, 538, 13192, 17270, 888, 763, 2104, 3788, 267, 1134, 267, 31063, 269, 1809, 2901, 1259, 281, 8835, 267, 1413, 856, 269, 9786, 568, 11543, 3728, 269, 3367, 2859, 19314, 763, 7678, 585, 519, 2250, 1079, 1296, 814, 1044, 585, 6300, 11825, 547, 6108, 811, 2228, 1282, 519, 9702, 4005, 269, 1215, 798, 596, 3335, 6300, 585, 9702, 1862, 3367, 2859, 9732, 1692, 547, 8073, 513, 30325, 9008, 10374, 12827, 547, 513, 19534, 454, 1607, 5680, 31638, 3391, 786, 1397, 596, 875, 547, 1711, 513, 18376, 30246, 547, 513, 3896, 1210, 32288, 2135, 267, 24904, 610, 5769, 25817, 630, 23966, 1040, 3367, 2859, 9732, 14503, 1662, 4578, 19554, 966, 754, 528, 12367, 454, 7212, 621, 568, 3592, 7543, 547, 1832, 909, 609, 519, 10605, 540, 5571, 1587, 13847, 267, 1934, 616, 1614, 2487, 8711, 538, 519, 8755, 1239, 4859, 1862, 3367, 2859, 9732 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 7689, 476, 273, 7072, 547, 12793, 692, 4131, 779, 1451, 1018, 513, 1599, 568, 780, 2162, 4804, 28080, 1115, 1384, 1892, 594, 917, 602, 513, 1599, 568, 513, 4341, 609, 4010, 835, 3977, 585, 1142, 1450, 762, 3403, 563, 1892, 594, 917, 602, 952, 513, 4341, 814, 4010, 835, 3977, 585, 1142, 1450, 762, 3403, 267, 1287, 519, 3977, 5673, 593, 519, 3403, 780, 1012, 476, 273, 269, 272, 306, 13645, 2725, 692, 2080, 616, 930, 2338, 538, 513, 1592, 1384, 272, 267, 910, 274, 267, 2073, 476, 274, 267, 476, 273, 267, 2073, 476, 271, 269, 276, 692, 272, 269, 1215, 1082, 1114, 2338, 616, 538, 519, 1592, 2496, 273, 269, 5269, 513, 1007, 1592, 5627, 519, 10945, 540, 782, 891, 2338, 563, 274, 269, 1215, 1082, 1114, 2338, 616, 538, 519, 1007, 1592, 2496, 275, 269, 11512, 1946, 519, 1079, 8638, 798, 711, 723, 519, 1482, 1297, 540, 1114, 2338, 780, 1012, 476, 273, 269, 273, 2791, 5700, 901, 267, 1684, 1411, 5700, 2334, 2496, 306, 599, 9811, 610, 1100, 585, 1142, 2243, 269, 1403, 9811, 267, 2721, 606, 3403, 13050, 1584, 6516, 269, 1403, 1100, 267, 2285, 1806, 540, 1079, 1114, 17016, 602, 616, 2009, 585, 519, 1482, 3403, 780, 272, 269, 589, 1268, 568, 476, 276, 269, 276, 3952, 7381, 269, 1684, 596, 917, 741, 4463, 538, 6279, 2496, 273, 269, 589, 1297, 568, 476, 276, 269, 1684, 596, 917, 922, 4009, 2496, 274, 269, 634, 4009, 540, 513, 1297, 568, 476, 1626, 269, 1684, 596, 917, 519, 1297, 2496, 275, 269, 589, 4009, 814, 513, 15943, 540, 476, 1321, 4699, 269, 1684, 596, 917, 922, 1858, 2496, 276, 269, 589, 13551, 814, 606, 1858, 540, 476, 1626, 4699, 273, 269, 1684, 596, 917, 922, 3259, 2496, 277, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 519, 1297, 602, 568, 607, 2462, 2496, 278, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 922, 23483, 2496, 1012, 476, 273, 269, 274, 8794, 9577, 5678, 692, 2080, 616, 519, 2055, 689, 519, 3105, 2534, 269, 1280, 519, 3283, 596, 1767, 9811, 547, 267, 2328, 513, 3948, 899, 267, 968, 763, 4463, 513, 12285, 3440, 536, 25555, 547, 5673, 593, 519, 4463, 621, 729, 12628, 689, 892, 610, 1109, 2108, 289, 8784, 4463, 568, 513, 1599, 540, 6749, 4463, 1848, 1280, 782, 540, 519, 3283, 596, 1767, 1100, 547, 267, 2328, 513, 3948, 899, 267, 968, 763, 1554, 540, 519, 3018, 1281, 711, 3313, 519, 2837, 602, 1554, 892, 610, 968, 763, 2837, 602, 1554, 568, 711, 513, 1599, 540, 519, 1554, 540, 519, 3018, 14325, 272, 269, 589, 1268, 568, 476, 276, 269, 276, 3952, 7381, 269, 1684, 596, 917, 741, 4463, 538, 6279, 888, 273, 269, 589, 1297, 568, 476, 276, 269, 1684, 596, 917, 922, 4009, 888, 274, 269, 634, 4009, 540, 513, 1297, 568, 476, 1626, 269, 1684, 596, 917, 519, 1297, 888, 275, 269, 589, 4009, 814, 513, 15943, 540, 476, 1321, 4699, 269, 1684, 596, 917, 922, 1858, 888, 276, 269, 589, 13551, 814, 606, 1858, 540, 476, 1626, 4699, 273, 269, 1684, 596, 917, 922, 3259, 888, 277, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 519, 1297, 602, 568, 607, 2462, 888, 278, 269, 1411, 616, 2016, 513, 1297, 269, 1684, 596, 917, 922, 23483, 2496, 1012, 476, 273, 269, 275, 306, 877, 9577, 267, 7756, 14329, 2496, 7617, 3403, 13050, 1584, 3652, 1223, 4766, 519, 1482, 1599, 630, 604, 1022, 21663, 2142, 5423, 547, 2491, 707, 7744, 780, 2162, 3657, 596, 4712, 585, 811, 2496, 763, 8360, 968, 529, 513, 1599, 540, 892, 1109, 12033, 1031, 538, 1875, 2173, 520, 3012, 673, 4633, 607, 1134, 607, 6310, 4633, 538, 5220, 899, 267, 968, 763, 2039, 540, 3536, 596, 899, 568, 513, 1599, 540, 707, 909, 32523, 1848, 1548, 568, 602, 4845, 3843, 547, 6655, 286, 1109, 3674, 621, 519, 1482, 946, 540, 519, 2262, 968, 10818, 892, 1109, 553, 519, 6310, 835, 2496, 1012, 7689, 476, 273, 12834, 692, 4131, 781, 2161, 649, 723, 606, 3403, 13050, 1584, 4341, 602, 585, 1142, 1450, 762, 3403, 3947, 4010, 835, 3977, 269, 3973, 649, 2161, 519, 3977, 5673, 593, 519, 3403, 267, 610, 519, 3977, 568, 513, 1599, 540, 519, 3403, 780, 2690, 1383, 267, 519, 1858, 540, 513, 4009, 568, 513, 1599, 540, 519, 2427, 3259, 267, 1317, 596, 666, 1265, 519, 1858, 689, 519, 2427, 3259, 676, 2695, 2130, 621, 269, 1924, 950, 519, 3403, 568, 476, 1015, 4699, 267, 519, 3977, 568, 476, 1911, 4699, 273, 780, 15919, 649, 1522, 723, 1079, 1114, 3652, 602, 4766, 519, 1482, 1599, 269, 1306, 1279, 607, 649, 2141, 1205, 519, 1482, 267, 2582, 3977, 689, 519, 1482, 3403, 267, 519, 3652, 4766, 519, 1482, 1599, 780, 1012, 3794, 27443, 16301, 692, 10818, 692, 288, 1599, 568, 513, 4341, 602, 3651, 338, 4010, 835, 3977, 547, 1142, 2009, 3403, 780, 763, 1599, 3651, 338, 835, 1871, 540, 519, 3977, 267, 2073, 547, 1142, 1871, 540, 519, 3403, 267, 1547, 476, 1109, 2690, 1383, 267, 950, 2073, 1287, 610, 476, 4097, 780, 1012, 7689, 476, 273, 6657, 10819, 692, 272, 269, 3371, 616, 1896, 1599, 3652, 269, 12433, 519, 3977, 585, 1142, 4341, 950, 596, 946, 910, 277, 1109, 553, 519, 3403, 780, 273, 269, 589, 1895, 540, 1053, 568, 31764, 1247, 838, 11781, 532, 476, 1911, 7397, 269, 3962, 2875, 779, 3432, 666, 581, 1336, 676, 12270, 476, 1911, 544, 676, 741, 942, 269, 1772, 1142, 3948, 3020, 610, 7301, 286, 11512, 707, 7744, 780, 272, 269, 17726, 568, 513, 1599, 540, 942, 563, 273, 269, 5384, 568, 513, 1599, 540, 3845, 563, 274, 269, 17726, 568, 513, 1599, 540, 1297, 540, 1053, 17040, 563, 275, 269, 5384, 568, 513, 1599, 540, 3432, 563, 274, 269, 17630, 779, 1686, 4116, 11339, 513, 1449, 585, 519, 1362, 609, 476, 2918, 2055, 269, 634, 1449, 568, 4502, 476, 11277, 2798, 543, 814, 1079, 2010, 540, 2055, 281, 2789, 3903, 4502, 476, 274, 2798, 1142, 267, 543, 3594, 4502, 476, 279, 2798, 1142, 269, 1215, 1082, 1557, 2055, 616, 593, 519, 1449, 286, 11512, 610, 1397, 707, 7744, 563, 275, 269, 1452, 7515, 5330, 547, 11378, 543, 17016, 269, 6904, 540, 891, 3403, 543, 3977, 7515, 1223, 2099, 513, 1599, 4341, 267, 543, 799, 3283, 1223, 711, 286, 11512, 610, 1397, 707, 7744, 780, 8368, 589, 1384, 6358, 3977, 454, 268, 273, 476, 275, 454, 268, 272, 476, 272, 454, 271, 476, 271, 454, 272, 476, 272, 454, 273, 476, 275, 692, 8368, 645, 1384, 6358, 3977, 454, 275, 910, 273, 454, 272, 910, 272, 454, 271, 476, 271, 454, 272, 476, 272, 454, 275, 476, 273, 692, 8368, 595, 1384, 6358, 3977, 454, 272, 476, 271, 454, 273, 476, 271, 454, 274, 476, 271, 692, 8368, 667, 1384, 6358, 3977, 454, 271, 476, 272, 454, 271, 476, 273, 454, 271, 476, 274, 0, 10403, 29714, 267, 5131, 4658, 692, 258, 3567, 779, 6046, 2030, 2042, 543, 1018, 789, 1611, 1107, 513, 2370, 2796, 692, 14738, 1631, 649, 2461, 7487, 782, 12204, 540, 5359, 2097, 856, 540, 3567, 607, 547, 1018, 568, 8345, 693, 519, 30738, 2313, 9874, 6046, 2371, 269, 1741, 2353, 540, 873, 616, 512, 532, 539, 609, 2283, 1049, 1143, 267, 543, 1082, 540, 873, 2270, 1100, 2796, 547, 5512, 519, 5467, 547, 1174, 1018, 568, 1373, 4080, 538, 2474, 540, 519, 10335, 540, 519, 1966, 269, 1109, 1280, 3236, 1384, 5649, 902, 4080, 593, 13638, 4951, 513, 21782, 540, 5925, 13808, 1472, 519, 2030, 602, 1500, 519, 24694, 11008, 1227, 8338, 982, 538, 1185, 1044, 267, 609, 5982, 2157, 6027, 693, 835, 1448, 607, 1164, 607, 476, 6110, 1984, 529, 773, 591, 1206, 606, 5662, 269, 4634, 476, 278, 3764, 540, 4598, 693, 602, 1377, 786, 3914, 519, 5021, 5993, 9570, 602, 513, 11832, 693, 606, 1977, 6046, 2030, 568, 4847, 269, 1656, 4598, 585, 476, 4037, 3764, 1131, 2693, 1291, 547, 8650, 5982, 19210, 780, 8133, 267, 855, 1018, 1281, 602, 1611, 3544, 519, 2030, 286, 1109, 1656, 267, 875, 1082, 1984, 529, 773, 591, 1206, 606, 5662, 798, 649, 6923, 10110, 1175, 2469, 827, 938, 3232, 2729, 269, 1109, 5637, 540, 1346, 4267, 1131, 948, 519, 5467, 2708, 519, 1483, 8594, 540, 971, 5982, 2157, 780, 1432, 596, 3580, 1265, 568, 602, 952, 596, 1491, 606, 20987, 543, 8038, 689, 2161, 24611, 547, 9628, 693, 476, 4375, 267, 1822, 3952, 267, 596, 666, 2503, 547, 10110, 476, 273, 1984, 790, 916, 540, 5982, 780, 3383, 875, 1281, 602, 6460, 547, 1984, 529, 773, 591, 1206, 286, 1109, 1411, 2979, 627, 714, 2010, 666, 4137, 621, 856, 1934, 609, 891, 7503, 2188, 1384, 1892, 476, 272, 1121, 815, 476, 1015, 268, 273, 20146, 3200, 630, 306, 341, 994, 1892, 476, 272, 1984, 790, 332, 630, 332, 8145, 264, 815, 476, 1015, 268, 276, 20146, 3200, 630, 306, 341, 994, 1892, 476, 272, 1984, 529, 773, 3200, 630, 332, 306, 341, 264, 815, 476, 1015, 268, 274, 20146, 3200, 630, 306, 341, 994, 1892, 476, 272, 1984, 529, 773, 3200, 630, 332, 306, 341, 264, 815, 476, 271, 269, 272, 1121, 692, 2414, 948, 1866, 267, 476, 272, 1984, 529, 773, 591, 1206, 11224, 476, 1911, 1984, 790, 916, 269, 1109, 1656, 476, 272, 27119, 3200, 11224, 476, 1911, 271, 1984, 529, 773, 591, 1206, 269, 1109, 1677, 2285, 596, 606, 2856, 540, 1018, 519, 1297, 1657, 1797, 538, 1984, 529, 773, 591, 1206, 630, 332, 306, 341, 1070, 649, 3335, 10110, 476, 277, 269, 273, 544, 306, 341, 829, 1032, 538, 519, 2475, 780, 3086, 602, 1297, 814, 930, 2796, 543, 596, 666, 9305, 621, 547, 519, 8594, 13890, 1657, 780, 2026, 547, 519, 1198, 269, 1741, 3371, 779, 513, 1434, 3349, 24152, 519, 2360, 540, 1114, 2157, 540, 10338, 1384, 1892, 476, 271, 1700, 271, 269, 1839, 590, 341, 281, 7183, 454, 1892, 476, 271, 269, 1839, 1700, 272, 590, 341, 281, 2368, 1004, 1745, 15353, 543, 2530, 540, 14031, 282, 5642, 20768, 267, 9726, 9136, 267, 838, 22220, 8697, 563, 1892, 476, 272, 1700, 274, 590, 341, 281, 631, 843, 547, 4049, 15353, 267, 2530, 540, 14031, 267, 3968, 282, 811, 4049, 5642, 20768, 267, 9726, 6843, 267, 838, 22220, 3441, 282, 6051, 21483, 267, 711, 21407, 563, 1892, 476, 274, 1700, 277, 590, 341, 281, 27275, 15353, 267, 2530, 540, 14031, 282, 20178, 1645, 267, 3968, 267, 13165, 267, 2960, 890, 1564, 267, 10322, 1006, 282, 2669, 952, 15860, 563, 1892, 476, 277, 1700, 1015, 590, 341, 281, 26361, 2589, 7132, 3844, 8401, 1062, 15717, 282, 2669, 4397, 563, 1892, 26361, 476, 1015, 590, 341, 281, 769, 5115, 659, 2787, 543, 2669, 780, 3383, 2016, 519, 1344, 1657, 267, 476, 274, 3108, 693, 476, 6110, 544, 306, 341, 568, 6697, 547, 476, 272, 269, 273, 590, 341, 269, 6892, 898, 779, 9156, 762, 855, 609, 3441, 780, 2026, 585, 4598, 3544, 519, 2030, 1107, 519, 2157, 540, 5982, 6749, 25921, 2476, 689, 519, 2030, 269, 1741, 1924, 1346, 538, 519, 1034, 8594, 267, 15069, 267, 616, 1346, 1369, 519, 2030, 3843, 547, 2270, 519, 1966, 269, 1109, 18614, 2161, 602, 1034, 540, 519, 2030, 4600, 723, 1044, 17355, 18050, 543, 827, 476, 2004, 3136, 547, 6370, 519, 2042, 538, 519, 26119, 269, 1109, 7316, 519, 1966, 585, 519, 1857, 949, 2049, 568, 952, 972, 568, 513, 5305, 540, 14599, 12269, 540, 9252, 267, 610, 998, 30762, 602, 30275, 1570, 630, 20459, 18660, 10514, 1040, 1109, 1656, 6923, 1454, 540, 519, 1764, 1131, 581, 5462, 676, 2842, 4287, 269, 1741, 1403, 621, 568, 25738, 2047, 7532, 936, 519, 5836, 267, 519, 6531, 1131, 798, 1454, 1447, 2800, 982, 952, 621, 6926, 342, 7178, 936, 1109, 20651, 2127, 540, 3567, 269, 1109, 3958, 267, 519, 2326, 1198, 1131, 26632, 622, 607, 519, 6531, 9450, 543, 14612, 269, 1109, 634, 7872, 540, 1022, 1713, 2179, 540, 5982, 8757, 519, 2475, 267, 585, 3236, 267, 568, 711, 3226, 1164, 780, 7661, 267, 713, 2376, 676, 519, 12924, 307, 568, 2965, 513, 1434, 835, 585, 4282, 827, 519, 2042, 519, 5545, 3068, 543, 519, 2009, 4093, 269, 1741, 1280, 2899, 267, 789, 3801, 547, 1832, 519, 8989, 1447, 2283, 1049, 543, 811, 5059, 593, 11341, 5013, 780, 349, 18250, 304, 692, 258, 17325, 725, 281, 634, 1627, 663, 302, 23093, 4751, 585, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 30787, 4016, 547, 1312, 10923, 4087, 1369, 513, 2239, 543, 942, 1974, 269, 1879, 17411, 3927, 267, 4259, 2306, 513, 1747, 2097, 9800, 269, 898, 13865, 3278, 519, 4729, 267, 2488, 513, 20457, 547, 519, 2962, 267, 543, 513, 7099, 563, 23220, 696, 281, 1234, 574, 2602, 595, 785, 699, 12848, 2921, 1747, 538, 476, 1001, 280, 269, 9796, 3007, 547, 10503, 519, 4259, 865, 519, 5467, 4991, 513, 2631, 540, 1018, 779, 1114, 827, 707, 4528, 540, 519, 1650, 269, 7316, 1281, 1352, 2661, 286, 1548, 779, 1200, 1909, 1369, 519, 7622, 286, 1772, 1352, 5219, 547, 607, 968, 290, 785, 699, 12848, 2223, 610, 1945, 811, 2413, 286, 1548, 1281, 1352, 5957, 547, 519, 3440, 267, 543, 945, 568, 519, 19036, 779, 476, 1001, 280, 6697, 888, 23220, 696, 2813, 585, 596, 676, 912, 12663, 578, 700, 3437, 599, 9741, 454, 12663, 578, 568, 513, 8225, 5856, 543, 10564, 1759, 538, 27292, 269, 2701, 568, 4867, 2324, 593, 519, 1101, 8908, 540, 513, 23019, 5708, 12377, 267, 519, 2034, 8908, 540, 513, 5339, 5708, 12377, 267, 543, 513, 19625, 540, 3860, 267, 1603, 5829, 3785, 269, 4173, 6965, 814, 7902, 538, 634, 18243, 327, 748, 773, 5623, 269, 3399, 513, 6643, 609, 1200, 593, 3860, 1184, 693, 7711, 15884, 25717, 3437, 599, 610, 2161, 32597, 693, 8940, 9884, 650, 25717, 3437, 599, 2593, 0, 1103, 2221, 779, 3728, 19550, 1158, 267, 1004, 1927, 609, 2566, 593, 513, 3232, 4493, 269, 9737, 519, 12503, 540, 960, 543, 1920, 267, 1272, 1223, 1831, 3833, 11566, 269, 10076, 543, 2168, 7569, 1223, 4734, 596, 4743, 11207, 25356, 1739, 519, 1554, 269, 1306, 513, 1267, 267, 5329, 707, 8516, 1271, 540, 782, 519, 17613, 540, 3232, 1272, 949, 711, 581, 513, 519, 3804, 563, 6624, 2043, 3274, 1491, 8516, 585, 11292, 269, 1358, 723, 1100, 7287, 610, 4566, 1599, 693, 8497, 1434, 1072, 269, 11524, 917, 789, 1058, 3635, 5781, 267, 2943, 789, 4043, 547, 7903, 8516, 11735, 11014, 269, 1358, 723, 1434, 15752, 540, 7683, 547, 621, 14693, 267, 2436, 789, 723, 811, 960, 269, 8616, 267, 607, 2395, 543, 4374, 1780, 676, 267, 8516, 5170, 547, 581, 16618, 543, 2451, 856, 540, 741, 3232, 16131, 563, 27735, 540, 24524, 454, 16498, 543, 2790, 8516, 1058, 581, 606, 1271, 1445, 540, 1175, 2713, 269, 1411, 1118, 942, 547, 4497, 538, 6296, 2238, 1142, 1554, 267, 971, 607, 4189, 543, 28876, 269, 4208, 267, 1287, 267, 616, 3635, 543, 8516, 2356, 20495, 286, 24524, 568, 267, 1310, 782, 267, 4105, 547, 707, 2489, 1134, 5630, 543, 2298, 540, 1272, 563, 2467, 616, 1082, 2640, 1373, 6508, 689, 5329, 8516, 1271, 609, 707, 4948, 1142, 1554, 269, 1548, 616, 930, 540, 1346, 3435, 888, 334, 293, 5893, 8952, 596, 3168, 543, 4743, 2635, 563, 334, 293, 5893, 11226, 538, 19011, 1154, 4965, 543, 6971, 8833, 563, 334, 19894, 3635, 2337, 547, 2061, 1978, 3823, 2860, 267, 1519, 3935, 2860, 543, 6089, 2860, 563, 334, 2304, 3742, 267, 3514, 6197, 666, 1711, 20501, 3206, 543, 1732, 5834, 563, 334, 28885, 8516, 883, 707, 6197, 666, 1832, 707, 1970, 1973, 2604, 693, 2635, 2157, 563, 334, 1805, 11691, 3514, 666, 2569, 543, 3006, 9004, 519, 4220, 540, 2295, 2042, 563, 334, 293, 5893, 666, 3500, 936, 519, 10172, 1184, 563, 2691, 606, 1367, 9308, 3742, 543, 3514, 267, 707, 10307, 786, 960, 811, 10416, 269, 1411, 786, 581, 1732, 2111, 547, 20758, 1055, 8377, 2059, 609, 519, 1072, 2798, 602, 6565, 689, 8377, 269, 23426, 786, 1831, 535, 597, 1067, 267, 6793, 267, 10709, 518, 267, 543, 811, 8465, 269, 1411, 3580, 5469, 606, 1646, 540, 707, 1648, 1377, 267, 1932, 269, 1306, 596, 1831, 811, 17615, 267, 7829, 782, 519, 824, 4247, 543, 21500, 602, 8451, 1256, 1169, 1554, 1058, 1831, 4443, 563, 29590, 949, 2942, 1764, 593, 519, 1072, 540, 707, 1560, 543, 2247, 269, 13262, 666, 2014, 4965, 269, 898, 666, 14020, 519, 4761, 1062, 543, 3361, 4576, 610, 2068, 269, 1306, 829, 519, 25350, 18669, 7690, 267, 968, 1492, 1614, 2127, 602, 616, 1034, 2629, 538, 7863, 543, 29103, 1359, 519, 4761, 1062, 616, 2732, 543, 6484, 267, 3635, 267, 543, 2566, 11527, 1081, 9950, 1597, 811, 865, 982, 6484, 267, 3635, 786, 2149, 3927, 3986, 519, 4761, 3210, 269, 11644, 666, 849, 2087, 707, 2790, 9716, 3034, 19522, 538, 4946, 11644, 883, 28064, 5020, 454, 2791, 3100, 547, 581, 593, 519, 979, 689, 607, 4166, 607, 596, 1205, 909, 2394, 596, 2887, 883, 5127, 998, 519, 269, 1411, 2220, 792, 602, 972, 4625, 1100, 1505, 585, 596, 547, 25837, 3635, 883, 707, 1378, 1272, 563, 2252, 513, 1268, 616, 602, 596, 17216, 3112, 1265, 942, 547, 979, 883, 513, 1483, 15904, 267, 1491, 1169, 4316, 2429, 942, 547, 1847, 827, 269, 1684, 930, 21018, 693, 519, 5604, 269, 6875, 519, 24383, 3079, 593, 519, 30981, 269, 12532, 547, 1153, 610, 1599, 269, 12532, 1282, 707, 12899, 5662, 543, 1970, 9397, 563, 16605, 538, 2247, 267, 849, 267, 602, 596, 666, 581, 3742, 9001, 2828, 543, 1920, 693, 707, 2395, 15534, 269, 5502, 540, 8384, 7641, 610, 2228, 3381, 3381, 3756, 782, 1554, 267, 6108, 2298, 942, 1927, 4947, 883, 971, 2238, 607, 5026, 267, 10977, 267, 19482, 267, 610, 15203, 269, 5620, 519, 3214, 948, 596, 713, 12202, 269, 3619, 15472, 2059, 609, 23947, 269, 1703, 616, 3875, 540, 2081, 17640, 547, 1373, 3742, 269, 634, 3903, 568, 16523, 547, 1205, 2469, 563, 23114, 26519, 9324, 1047, 21388, 1443, 2478, 267, 968, 13014, 621, 2832, 547, 1305, 606, 1383, 585, 707, 1920, 267, 543, 581, 513, 1909, 2203, 585, 3283, 3214, 610, 6148, 707, 2828, 269, 13760, 1004, 29954, 790, 909, 596, 666, 581, 606, 5140, 1259, 513, 14326, 24850, 1932, 3034, 1692, 547, 1832, 2657, 543, 24524, 12830, 609, 513, 17173, 21480, 454, 3086, 799, 596, 8275, 519, 1871, 540, 1072, 543, 8516, 267, 621, 568, 942, 547, 1331, 873, 538, 707, 11112, 2053, 563, 9359, 1524, 602, 4155, 547, 1434, 2324, 856, 676, 2870, 513, 8516, 1544, 269, 1403, 596, 991, 948, 267, 798, 513, 2370, 1382, 269, 1411, 3489, 2093, 593, 2870, 707, 1544, 998, 513, 18019, 2228, 2707, 610, 676, 6340, 547, 707, 10629, 610, 513, 8516, 4274, 563, 13729, 11735, 513, 1978, 942, 593, 31014, 513, 3232, 4493, 547, 1902, 538, 3635, 269, 10705, 267, 3478, 909, 4505, 543, 7231, 856, 1360, 1101, 3364, 538, 519, 6640, 568, 1034, 2500, 269, 2991, 782, 267, 596, 1058, 581, 1134, 3146, 23264, 5827, 547, 1685, 1739, 513, 1434, 3781, 779, 3207, 269, 14755, 267, 4358, 689, 519, 1554, 2348, 513, 15904, 666, 2965, 1118, 1589, 811, 17615, 267, 811, 23904, 267, 543, 811, 11327, 2429, 519, 1554, 269, 1403, 267, 2705, 267, 6640, 3635, 7886, 786, 711, 960, 585, 1250, 2754, 596, 267, 8430, 1346, 23736, 3177, 942, 602, 568, 10375, 269, 0, 11754, 7675, 7981, 12409, 20126, 543, 26225, 538, 519, 15099, 281, 8535, 630, 11754, 7675, 590, 21715, 538, 519, 15099, 994, 21581, 11251, 7981, 4065, 15147, 14594, 7151, 543, 18601, 513, 1268, 676, 2012, 538, 3733, 3573, 1995, 538, 2027, 2069, 543, 6437, 269, 23467, 1041, 6435, 16847, 269, 3872, 2534, 568, 3810, 15747, 538, 5466, 891, 4145, 269, 595, 7838, 30278, 8085, 9331, 281, 18997, 513, 9501, 4488, 24361, 17252, 3633, 306, 269, 1548, 5686, 540, 2027, 3872, 2115, 1281, 634, 5234, 2319, 616, 4810, 538, 5466, 519, 2115, 540, 4804, 9659, 2319, 595, 4456, 9391, 8535, 269, 25417, 4841, 609, 7981, 20126, 15099, 22352, 267, 5437, 476, 1960, 274, 267, 5466, 1053, 609, 2027, 2115, 543, 563, 8702, 547, 519, 15099, 616, 1655, 2111, 547, 15378, 741, 3872, 2115, 269, 519, 1367, 2115, 2203, 538, 2027, 2069, 568, 2938, 607, 269, 20648, 4065, 29621, 8889, 13832, 269, 3609, 1907, 5466, 519, 2115, 540, 2185, 2516, 540, 585, 32167, 2812, 609, 7981, 12409, 10261, 269, 3414, 513, 7981, 12409, 20126, 8889, 4857, 9659, 543, 528, 2027, 2115, 2027, 2069, 883, 741, 6437, 269, 769, 519, 269, 1280, 513, 4528, 540, 938, 3381, 1510, 2575, 5225, 4945, 1934, 269, 10312, 593, 590, 21715, 5466, 873, 543, 2027, 3872, 2115, 543, 9659, 568, 1434, 269, 25734, 538, 519, 3119, 1153, 2433, 5009, 1434, 2259, 9659, 543, 2027, 3872, 2115, 609, 1434, 2259, 2066, 519, 6437, 269, 18601, 7981, 12409, 20126, 543, 18601, 590, 21715, 538, 519, 15099, 786, 581, 18601, 7981, 12409, 20126, 543, 26225, 538, 269, 634, 594, 302, 292, 568, 1753, 547, 476, 277, 4081, 13623, 543, 936, 2066, 824, 2127, 540, 519, 6437, 269, 1004, 609, 7981, 12409, 20126, 543, 26225, 563, 14807, 1049, 2115, 543, 9659, 11285, 4879, 543, 1489, 3028, 269, 634, 2027, 3872, 2115, 543, 9659, 11285, 4879, 2027, 269, 18601, 2776, 9080, 823, 13565, 5549, 6342, 26225, 543, 7981, 12409, 20126, 590, 21715, 21561, 1569, 547, 519, 6437, 585, 10453, 609, 513, 9659, 563, 7476, 5131, 26496, 8535, 543, 18903, 281, 3683, 476, 2004, 25529, 619, 256, 630, 11514, 2284, 25905, 281, 25925, 543, 519, 2142, 770, 994, 12606, 5131, 634, 966, 573, 541, 4469, 877, 4211, 565, 4379, 281, 4706, 12791, 3245, 23052, 6504, 6008, 10719, 454, 14457, 281, 10011, 956, 769, 634, 21708, 454, 7476, 5131, 21584, 10426, 5320, 4750, 281, 1323, 4950, 10957, 28013, 630, 763, 5100, 15693, 994, 5649, 6732, 31204, 20405, 13648, 518, 281, 2349, 1678, 1234, 10360, 13648, 1504, 267, 476, 278, 1535, 476, 1015, 267, 476, 1911, 2349, 1678, 1234, 10360, 9664, 0, 289, 578, 543, 15561, 616, 835, 540, 519, 1101, 9604, 2813, 676, 3425, 267, 16310, 884, 1513, 543, 31009, 269, 22702, 547, 824, 9604, 267, 519, 6367, 814, 513, 2362, 1377, 540, 7145, 1317, 621, 666, 581, 1031, 689, 513, 9425, 2922, 3845, 269, 14332, 3587, 513, 14686, 14049, 952, 1031, 7157, 267, 4352, 621, 568, 711, 2731, 6325, 538, 2673, 4323, 269, 634, 1101, 6367, 1570, 568, 1500, 540, 5642, 543, 3574, 267, 7132, 2269, 1186, 267, 6091, 267, 610, 824, 8465, 1570, 602, 568, 3728, 2989, 1063, 519, 1079, 7475, 269, 24942, 543, 3574, 1570, 568, 1031, 607, 519, 1292, 1570, 585, 536, 3298, 543, 21985, 538, 513, 1360, 1279, 942, 267, 2394, 6368, 1336, 824, 2326, 602, 616, 9875, 267, 14402, 543, 811, 8465, 269, 4653, 267, 536, 3298, 543, 21985, 616, 4922, 1031, 607, 3937, 585, 5026, 269, 14332, 1570, 568, 711, 1152, 1500, 540, 3574, 267, 621, 568, 1360, 3309, 267, 971, 607, 4837, 6775, 267, 3327, 267, 610, 11956, 267, 799, 568, 1500, 1360, 1769, 269, 634, 12673, 19951, 849, 1500, 519, 21985, 5488, 543, 6793, 267, 543, 609, 1164, 6111, 269, 3767, 609, 1082, 2326, 540, 12673, 513, 3444, 11312, 5569, 10682, 568, 1100, 3476, 2352, 4305, 563, 4913, 267, 596, 849, 723, 547, 581, 1360, 6297, 1354, 7446, 519, 1655, 1570, 585, 707, 3444, 11312, 267, 1118, 2386, 602, 519, 5569, 5078, 585, 707, 6367, 269, 3962, 1570, 543, 1142, 6367, 814, 2189, 8984, 865, 621, 786, 849, 723, 1114, 2115, 269, 2290, 3364, 602, 596, 991, 547, 798, 1354, 11449, 3444, 11312, 5569, 10682, 568, 547, 1224, 519, 8261, 269, 2353, 519, 1344, 593, 519, 8261, 1433, 540, 707, 3444, 11312, 786, 581, 1271, 538, 1931, 547, 6023, 519, 6367, 5265, 543, 6616, 519, 20487, 540, 707, 14049, 269, 898, 786, 849, 1397, 596, 519, 1697, 1259, 547, 946, 621, 865, 596, 1223, 581, 2386, 621, 786, 2063, 513, 1279, 942, 269, 2290, 3364, 596, 1058, 2760, 7340, 952, 596, 1616, 707, 5569, 547, 2063, 513, 1279, 942, 568, 547, 14589, 519, 5569, 607, 1419, 607, 596, 1223, 269, 0, 2793, 296, 4629, 10292, 267, 2904, 476, 1626, 630, 311, 514, 327, 7699, 264, 4534, 3979, 6608, 1058, 7832, 593, 3609, 15024, 538, 1931, 547, 7520, 1804, 8397, 10073, 540, 1426, 2504, 1949, 602, 616, 14388, 547, 20296, 17613, 267, 3486, 3744, 1767, 593, 13723, 563, 763, 3744, 945, 1558, 538, 715, 23879, 6798, 585, 513, 1079, 6377, 4000, 2916, 5100, 6683, 21895, 6069, 513, 2847, 2086, 540, 4540, 4507, 543, 9086, 547, 5818, 9541, 538, 8105, 1949, 602, 666, 16641, 3665, 4365, 2621, 2066, 519, 11782, 563, 32178, 16189, 836, 267, 519, 3979, 16323, 8693, 7827, 18509, 13541, 693, 519, 6167, 5113, 630, 7419, 7968, 1070, 1767, 602, 519, 1391, 585, 1426, 3354, 1058, 581, 11251, 1369, 2199, 543, 3084, 2916, 3210, 2994, 563, 20442, 991, 547, 1964, 691, 513, 6643, 593, 2916, 3210, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 3451, 454, 303, 12011, 2313, 298, 5206, 912, 289, 684, 3241, 5206, 912, 332, 926, 6614, 320, 5206, 912, 288, 1978, 8470, 568, 547, 581, 7768, 540, 4010, 1614, 2021, 543, 4010, 1079, 2367, 267, 6074, 689, 1535, 2021, 543, 586, 2367, 269, 1215, 1082, 1114, 8440, 666, 581, 4646, 609, 891, 10148, 2496, 263, 272, 264, 1403, 1079, 811, 2021, 941, 2139, 585, 5542, 267, 4010, 476, 6321, 1114, 2516, 540, 1614, 2021, 1223, 581, 5697, 780, 263, 273, 264, 1535, 815, 586, 1341, 476, 272, 692, 9223, 281, 3230, 290, 3867, 274, 13925, 343, 348, 265, 290, 3867, 273, 13925, 344, 13157, 286, 2330, 1924, 649, 991, 519, 2418, 540, 3230, 343, 2330, 543, 3230, 344, 29634, 263, 272, 264, 3230, 290, 3867, 274, 13925, 343, 266, 273, 13157, 6321, 2330, 25341, 972, 568, 1152, 835, 3230, 343, 2330, 547, 14183, 713, 630, 26074, 602, 972, 568, 1152, 835, 1297, 856, 540, 799, 649, 666, 1118, 476, 6321, 1114, 25926, 540, 476, 274, 267, 865, 3230, 343, 266, 273, 2330, 568, 930, 1808, 1297, 799, 3947, 930, 1808, 3230, 343, 2330, 1070, 855, 649, 917, 4986, 827, 3230, 344, 21974, 3502, 6190, 780, 9617, 547, 9414, 875, 547, 1265, 3230, 343, 2330, 281, 3230, 290, 3867, 274, 13925, 343, 266, 273, 13157, 6321, 2330, 25341, 6695, 2765, 18950, 343, 266, 273, 25631, 2410, 263, 343, 266, 273, 268, 274, 25631, 265, 274, 256, 13157, 6321, 2330, 25341, 6695, 2765, 18950, 343, 266, 273, 25631, 2410, 263, 343, 268, 272, 25631, 265, 274, 256, 13157, 6321, 2330, 25341, 6695, 2765, 12757, 3287, 266, 272, 7565, 343, 266, 273, 20972, 274, 256, 13157, 6321, 2330, 25341, 3230, 343, 3287, 266, 272, 7565, 343, 266, 273, 6661, 277, 265, 278, 265, 279, 2330, 25341, 3230, 343, 284, 277, 21974, 24177, 26905, 875, 547, 5173, 5072, 3728, 585, 476, 274, 6113, 4110, 9971, 780, 263, 273, 264, 1535, 815, 586, 1341, 476, 272, 269, 22682, 13385, 780, 263, 272, 11924, 263, 273, 264, 3245, 630, 272, 264, 649, 917, 3230, 343, 18079, 865, 689, 630, 273, 264, 649, 666, 1205, 3230, 344, 21974, 2672, 2310, 780, 12585, 281, 595, 780, 17098, 645, 684, 3241, 10484, 1692, 596, 7229, 519, 1871, 540, 2473, 585, 476, 274, 6113, 4110, 9971, 7790, 1772, 972, 1022, 1449, 585, 3791, 610, 1657, 4110, 9971, 547, 7058, 4191, 540, 519, 5072, 1510, 6061, 3830, 7790, 630, 15371, 9971, 814, 476, 271, 835, 540, 519, 3597, 610, 562, 1297, 540, 2942, 610, 2318, 5072, 25589, 12552, 780, 296, 1705, 711, 4194, 269, 476, 28656, 568, 519, 1587, 540, 1614, 15654, 2318, 9981, 267, 1287, 594, 13264, 476, 28656, 883, 476, 277, 265, 278, 265, 279, 1818, 1535, 547, 581, 476, 277, 269, 1306, 594, 5206, 538, 1250, 3070, 596, 1810, 1405, 991, 547, 4194, 267, 596, 1175, 991, 547, 917, 602, 596, 666, 4194, 543, 1205, 1535, 563, 6303, 29390, 17445, 528, 454, 1805, 9850, 281, 15526, 568, 513, 6205, 269, 3807, 3247, 6947, 547, 1866, 563, 16274, 281, 476, 2420, 3057, 476, 1001, 274, 454, 15803, 281, 476, 16020, 454, 19613, 281, 3127, 454, 294, 5183, 281, 476, 274, 269, 7906, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 994, 3725, 281, 29922, 513, 8470, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 4343, 454, 289, 684, 3241, 5206, 912, 296, 1705, 711, 4194, 269, 476, 28656, 568, 519, 1587, 540, 1614, 15654, 2318, 9981, 267, 1287, 594, 13264, 476, 28656, 883, 476, 277, 265, 278, 265, 279, 1818, 1535, 547, 581, 476, 277, 269, 1306, 594, 5206, 538, 1250, 3070, 596, 1810, 1405, 991, 547, 4194, 267, 596, 1175, 991, 547, 917, 602, 596, 666, 4194, 543, 1205, 1535, 780, 1432, 952, 538, 2013, 649, 723, 3830, 585, 799, 972, 616, 476, 273, 610, 811, 1483, 5072, 7790, 1772, 972, 1022, 1259, 547, 1175, 1413, 693, 519, 4191, 540, 14170, 543, 3589, 4191, 540, 519, 5072, 888, 296, 6836, 547, 24440, 856, 1250, 13214, 855, 8959, 547, 1205, 1022, 2626, 780, 12552, 454, 6303, 29390, 303, 12011, 2313, 918, 454, 2411, 9339, 8894, 5978, 6574, 8467, 6013, 538, 4758, 909, 269, 634, 1034, 1978, 1259, 547, 8011, 568, 547, 2119, 1175, 835, 811, 942, 269, 722, 499, 7338, 589, 269, 32525, 454, 10673, 1405, 7340, 547, 2046, 734, 285, 918, 16997, 454, 7069, 15080, 281, 476, 272, 269, 654, 5495, 17162, 281, 950, 547, 946, 286, 1923, 476, 273, 269, 2353, 17918, 7093, 335, 681, 12336, 630, 6124, 994, 31738, 281, 6969, 981, 513, 3018, 4505, 1810, 1405, 7340, 547, 9688, 782, 575, 3901, 2181, 335, 2042, 16887, 585, 834, 338, 27542, 15494, 8487, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 4649, 272, 2004, 454, 3725, 281, 29922, 513, 8470, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 6078, 454, 303, 12011, 2313, 298, 5206, 912, 289, 684, 3241, 5206, 912, 296, 1705, 711, 4194, 269, 476, 28656, 568, 519, 1587, 540, 1614, 15654, 2318, 9981, 267, 1287, 594, 13264, 476, 28656, 883, 476, 277, 265, 278, 265, 279, 1818, 1535, 547, 581, 476, 277, 269, 1306, 594, 5206, 538, 1250, 3070, 596, 1810, 1405, 991, 547, 4194, 267, 596, 1175, 991, 547, 917, 602, 596, 666, 4194, 543, 1205, 1535, 780, 1432, 952, 538, 2013, 649, 723, 3830, 585, 799, 972, 616, 476, 273, 610, 811, 1483, 5072, 7790, 1772, 972, 1022, 1259, 547, 1175, 1413, 693, 519, 4191, 540, 14170, 543, 3589, 4191, 540, 519, 5072, 888, 296, 6836, 547, 24440, 856, 1250, 13214, 855, 8959, 547, 1205, 1022, 2626, 780, 12552, 692, 2791, 1810, 1405, 991, 547, 917, 875, 547, 4194, 476, 274, 6113, 610, 2362, 4110, 4834, 585, 519, 17918, 543, 596, 1810, 1405, 991, 713, 585, 713, 1880, 2243, 2901, 563, 6303, 29390, 3725, 281, 29922, 513, 8470, 5231, 1496, 258, 21529, 316, 476, 6734, 9947, 476, 1001, 275, 267, 476, 6021, 281, 6078, 692, 7883, 547, 2985, 30336, 1109, 272, 1741, 1109, 273, 1109, 5231, 8921, 476, 1109, 314, 476, 2767, 9708, 476, 6540, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 589, 1978, 8470, 568, 547, 581, 7768, 540, 4010, 1614, 2021, 543, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 1923, 2506, 334, 10202, 11247, 3177, 676, 2506, 334, 10202, 3080, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 258, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 814, 513, 2189, 32299, 540, 1931, 1269, 333, 259, 585, 1022, 2318, 8870, 1269, 333, 259, 2496, 8698, 532, 4399, 13992, 346, 313, 4151, 543, 4399, 13992, 346, 304, 4151, 607, 19605, 2516, 267, 594, 723, 606, 2856, 547, 1397, 602, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 814, 513, 2189, 32299, 540, 1931, 1269, 333, 259, 585, 1022, 2318, 8870, 1269, 333, 10608, 1411, 666, 1491, 1269, 320, 14672, 10954, 13992, 346, 313, 4151, 1141, 18159, 320, 19885, 6661, 272, 8961, 543, 713, 3693, 814, 1931, 1269, 333, 16859, 3963, 1131, 971, 606, 3693, 2291, 538, 1022, 32299, 1269, 295, 259, 540, 1931, 1269, 333, 259, 286, 1403, 711, 267, 596, 1223, 2569, 1169, 11347, 267, 543, 1287, 1169, 3693, 1131, 723, 1931, 1447, 982, 1269, 333, 8961, 855, 1141, 568, 519, 27171, 2496, 7042, 1012, 476, 275, 12226, 692, 8340, 782, 2609, 540, 1931, 513, 27708, 540, 1269, 333, 259, 538, 4399, 13992, 1627, 270, 315, 13992, 2098, 259, 630, 7474, 568, 267, 782, 2609, 1269, 326, 259, 971, 602, 1269, 978, 284, 271, 259, 1040, 1703, 616, 4010, 1269, 333, 259, 540, 873, 267, 543, 972, 568, 538, 1249, 693, 2547, 835, 540, 873, 4171, 1931, 568, 4010, 1269, 333, 16859, 17004, 602, 1346, 2609, 616, 538, 1249, 519, 2609, 540, 513, 32299, 780, 7042, 5575, 4399, 13992, 346, 304, 4153, 322, 784, 315, 15927, 6955, 639, 3709, 335, 22174, 315, 303, 328, 4153, 13992, 346, 313, 13925, 335, 17353, 13727, 3686, 8961, 1141, 4399, 303, 328, 259, 568, 519, 1305, 540, 782, 6305, 2338, 269, 3973, 585, 1142, 1269, 335, 259, 6305, 4399, 13992, 346, 313, 13925, 335, 17353, 13727, 22288, 814, 513, 2189, 32299, 540, 1931, 1269, 335, 18898, 259, 585, 1142, 1269, 333, 22174, 315, 13992, 346, 301, 23201, 2311, 2063, 4019, 519, 27284, 14497, 540, 25226, 780, 7042, 4131, 1269, 343, 259, 581, 513, 1483, 1297, 538, 519, 1930, 8884, 18159, 271, 267, 272, 30879, 1403, 1269, 333, 343, 259, 568, 606, 8870, 1269, 330, 259, 585, 930, 2318, 8870, 1269, 333, 8961, 649, 723, 602, 1269, 343, 815, 737, 14672, 10608, 1411, 1294, 602, 1269, 330, 284, 272, 12101, 24126, 19885, 268, 272, 10608, 594, 3513, 4734, 519, 1964, 547, 596, 780, 8894, 295, 332, 267, 1269, 343, 259, 606, 8870, 538, 519, 1930, 8884, 18159, 271, 267, 272, 30879, 1703, 5749, 1405, 1932, 1082, 540, 1346, 269, 1107, 1109, 297, 19913, 331, 1430, 9484, 476, 736, 1412, 1556, 693, 476, 866, 281, 1556, 454, 3369, 5622, 5622, 334, 3591, 269, 1462, 334, 269, 1107, 1109, 294, 5622, 345, 9484, 476, 736, 1412, 1556, 693, 476, 2537, 281, 4905, 692, 2171, 666, 1935, 519, 1966, 1210, 10026, 1297, 3069, 269, 6733, 1101, 693, 519, 32299, 1269, 298, 259, 540, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 6383, 676, 630, 1492, 30424, 1362, 540, 264, 1269, 336, 29265, 8961, 1141, 1269, 336, 259, 543, 1269, 337, 259, 616, 5266, 6305, 780, 7712, 1269, 336, 259, 543, 1269, 337, 259, 616, 5266, 6305, 267, 972, 2291, 9981, 1269, 343, 259, 543, 1269, 344, 259, 971, 602, 1269, 336, 343, 266, 787, 284, 272, 10608, 19147, 1312, 5011, 676, 1269, 337, 10608, 1284, 1265, 602, 3230, 343, 21702, 346, 336, 2410, 337, 15396, 344, 7807, 2765, 346, 272, 2410, 337, 20467, 2330, 4595, 1269, 344, 259, 568, 606, 8870, 267, 621, 5205, 602, 4399, 2765, 346, 272, 2410, 337, 4151, 568, 21412, 267, 1110, 25222, 1269, 272, 8961, 547, 1269, 343, 21702, 346, 336, 2410, 337, 23201, 898, 5205, 602, 630, 1492, 30424, 1362, 540, 264, 1269, 272, 29265, 259, 568, 538, 1269, 298, 8961, 543, 4061, 12958, 1269, 298, 16859, 3086, 1577, 1269, 295, 259, 581, 513, 32299, 540, 4399, 13992, 346, 304, 348, 270, 315, 13992, 346, 313, 4151, 540, 1931, 1269, 333, 10608, 2913, 1269, 327, 259, 581, 606, 3693, 540, 1269, 295, 10608, 1403, 1269, 327, 259, 12958, 1269, 295, 8961, 649, 616, 8737, 269, 19227, 267, 1269, 327, 259, 12958, 513, 1697, 32299, 540, 1269, 295, 10608, 1635, 519, 1267, 1657, 267, 649, 666, 8263, 602, 1269, 327, 259, 568, 630, 1492, 30424, 1362, 540, 264, 930, 1269, 272, 29265, 318, 272, 8961, 543, 602, 972, 568, 930, 1269, 272, 11486, 259, 538, 1269, 295, 259, 971, 602, 1269, 321, 259, 1281, 711, 7941, 1269, 337, 318, 272, 10608, 2913, 1269, 323, 7807, 326, 7251, 16868, 318, 272, 14720, 7751, 780, 2467, 616, 9981, 1269, 343, 259, 543, 1269, 344, 259, 971, 602, 1269, 337, 318, 272, 343, 266, 2421, 284, 323, 10608, 19147, 998, 676, 1269, 337, 318, 272, 321, 10608, 1284, 1265, 602, 3230, 343, 21702, 346, 272, 2410, 321, 15396, 344, 21702, 346, 272, 2410, 337, 318, 272, 18098, 2765, 18097, 2410, 337, 318, 272, 321, 20467, 2330, 898, 5205, 602, 630, 1492, 30424, 1362, 540, 264, 1269, 323, 14370, 337, 318, 272, 321, 7751, 568, 538, 1269, 295, 10608, 1809, 1269, 337, 318, 272, 321, 7933, 259, 568, 519, 2547, 1455, 2789, 540, 1269, 337, 318, 272, 259, 543, 1269, 321, 10608, 11910, 713, 2547, 1455, 2789, 1269, 337, 318, 273, 10608, 3973, 2094, 1269, 337, 318, 272, 259, 543, 1269, 321, 259, 1312, 7941, 1269, 337, 318, 273, 8961, 519, 32299, 540, 1269, 295, 259, 6383, 676, 630, 1492, 30424, 1362, 540, 264, 1269, 272, 29265, 318, 273, 259, 3568, 1312, 1269, 272, 29265, 318, 272, 259, 543, 1269, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 645, 4157, 527, 7754, 329, 836, 476, 1001, 271, 623, 272, 1627, 274, 320, 8298, 15162, 332, 7726, 8827, 630, 288, 13174, 1109, 307, 340, 819, 2020, 9223, 912, 24169, 519, 1739, 3830, 1384, 5416, 264, 1269, 276, 3867, 273, 343, 18511, 278, 28682, 268, 3374, 263, 276, 3867, 273, 343, 348, 11924, 3607, 263, 278, 28682, 6661, 271, 6911, 11405, 1384, 27572, 4097, 263, 276, 3867, 273, 343, 348, 11924, 3374, 263, 278, 28682, 6661, 271, 6911, 259, 3374, 263, 278, 28682, 6661, 4097, 263, 276, 3867, 273, 343, 16585, 6911, 299, 333, 1312, 5011, 267, 649, 1205, 692, 7445, 15238, 476, 3374, 1341, 1535, 315, 15238, 476, 278, 7807, 15238, 476, 4097, 266, 273, 343, 315, 15238, 476, 276, 6911, 7445, 15238, 476, 3374, 10559, 15238, 476, 4097, 24210, 263, 273, 315, 15238, 476, 276, 10559, 15238, 476, 278, 22491, 7445, 6234, 1422, 7901, 539, 12757, 7807, 2765, 3189, 15238, 476, 3374, 10559, 15238, 476, 4097, 2410, 273, 315, 15238, 476, 276, 10559, 15238, 476, 278, 13157, 271, 269, 28873, 279, 10592, 1012, 8191, 281, 2979, 14654, 819, 6434, 692, 10059, 2517, 4118, 14654, 819, 6434, 2593, 270, 692, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 427, 375, 379, 19630, 1944, 2040, 9819, 540, 513, 1804, 17877, 5044, 692, 258, 19630, 1944, 2040, 9819, 540, 513, 1804, 17877, 5044, 692, 1012, 17877, 281, 13437, 26659, 11644, 268, 272, 609, 8827, 692, 2237, 513, 17877, 1982, 602, 5932, 513, 1804, 476, 272, 291, 5044, 543, 2328, 513, 1599, 547, 5173, 519, 2040, 540, 922, 2609, 1210, 513, 585, 8520, 269, 3973, 267, 11126, 621, 1210, 17877, 781, 3710, 2987, 3252, 780, 25456, 8827, 1384, 23911, 8943, 1384, 18606, 5814, 11885, 607, 5286, 454, 258, 8073, 513, 1804, 476, 272, 291, 5044, 609, 476, 272, 2929, 2609, 454, 26171, 24512, 815, 5286, 20179, 20120, 263, 272, 318, 1822, 318, 1822, 2020, 258, 9577, 547, 5173, 519, 2040, 1210, 513, 585, 8520, 454, 3698, 2040, 318, 6748, 318, 31467, 263, 6783, 2187, 20135, 815, 476, 271, 269, 271, 454, 1721, 3693, 538, 5044, 912, 20135, 6834, 3693, 692, 258, 12433, 519, 2040, 1210, 519, 585, 8520, 454, 8999, 318, 31467, 815, 2040, 318, 6748, 318, 31467, 10857, 1618, 24512, 994, 2745, 2891, 11764, 1210, 585, 8520, 24333, 2040, 318, 31467, 2020, 258, 8838, 4476, 519, 2040, 9819, 1210, 17877, 781, 3710, 2987, 1599, 454, 8999, 5332, 17056, 815, 5286, 27904, 10857, 1618, 24512, 994, 2745, 2891, 11764, 1210, 17877, 781, 3710, 2987, 1599, 24333, 2040, 5332, 17056, 994, 32526, 20479, 1384, 3499, 11764, 1210, 585, 8520, 281, 476, 4335, 20969, 269, 276, 3451, 14444, 4198, 272, 454, 11764, 1210, 17877, 781, 3710, 2987, 1599, 281, 476, 4335, 20969, 269, 276, 3451, 14444, 14225, 276, 454, 7884, 15008, 1384, 1892, 8073, 513, 1804, 476, 272, 291, 5044, 281, 589, 476, 272, 291, 5044, 609, 476, 272, 2929, 2609, 568, 2813, 1210, 5286, 20179, 20120, 263, 1916, 1892, 9577, 609, 585, 8520, 281, 589, 1599, 2040, 318, 6748, 318, 31467, 21410, 519, 2040, 540, 519, 5044, 2609, 1210, 513, 585, 8520, 563, 1892, 12433, 2040, 609, 585, 8520, 281, 634, 2040, 540, 519, 5044, 2609, 568, 7229, 1210, 519, 585, 8520, 543, 9102, 563, 1892, 8838, 4476, 609, 17877, 281, 634, 2040, 9819, 568, 20979, 1210, 17877, 781, 3710, 2987, 5286, 27904, 3890, 1599, 543, 9102, 780, 23911, 9539, 17056, 8943, 15503, 1384, 5970, 1776, 1259, 547, 4194, 713, 3070, 286, 19928, 1393, 707, 3009, 630, 663, 8292, 264, 998, 2598, 638, 338, 780, 1432, 568, 519, 7411, 1377, 540, 713, 3635, 2496, 14818, 707, 14691, 1983, 609, 530, 274, 637, 1830, 781, 7688, 780, 427, 375, 379, 0, 258, 20554, 543, 20389, 18248, 692, 305, 26559, 2055, 593, 519, 20554, 543, 20389, 1419, 2014, 11784, 1851, 1449, 512, 5474, 269, 1411, 917, 519, 3283, 269, 1358, 2307, 875, 1454, 24036, 568, 2877, 538, 513, 3677, 11600, 610, 875, 1082, 5835, 19273, 1590, 581, 3773, 547, 11891, 538, 1931, 547, 4794, 1518, 1978, 17114, 269, 1809, 972, 568, 1100, 991, 547, 4250, 891, 5223, 2055, 734, 28236, 616, 3833, 2596, 543, 666, 581, 12193, 538, 7643, 952, 596, 917, 930, 5295, 30360, 15361, 780, 3080, 1826, 540, 5223, 2243, 899, 713, 3340, 596, 547, 1265, 513, 2009, 2698, 1297, 540, 3688, 2016, 513, 5223, 540, 2694, 1384, 2791, 666, 4194, 713, 2243, 538, 1614, 7643, 267, 1510, 16116, 909, 707, 9498, 256, 634, 2626, 585, 891, 2055, 1590, 2141, 581, 513, 2789, 540, 519, 2040, 540, 519, 5223, 1384, 19669, 2433, 9466, 454, 274, 13725, 2433, 3396, 476, 279, 1741, 476, 7673, 6519, 1341, 9466, 815, 5681, 1741, 9890, 1741, 476, 274, 1341, 476, 279, 815, 476, 1556, 692, 763, 1152, 2789, 540, 476, 1556, 568, 476, 4510, 267, 2626, 3903, 630, 292, 6393, 11039, 267, 602, 729, 2653, 256, 1677, 1294, 1946, 713, 568, 3020, 267, 2132, 547, 519, 27847, 6041, 1384, 19669, 2433, 9466, 454, 274, 13725, 2433, 3396, 476, 279, 1741, 476, 7673, 6519, 1341, 9466, 815, 5681, 1741, 9890, 1741, 476, 274, 1341, 476, 279, 815, 476, 1556, 692, 274, 270, 1556, 3396, 1109, 476, 279, 270, 1556, 7673, 1109, 476, 274, 270, 1556, 540, 519, 26852, 616, 3043, 267, 476, 279, 270, 1556, 540, 519, 26852, 616, 6960, 692, 2252, 519, 2698, 1297, 540, 26852, 568, 476, 4510, 267, 519, 1297, 540, 3043, 543, 6960, 26852, 568, 513, 2898, 1297, 1384, 13707, 1297, 540, 3043, 26852, 815, 476, 274, 270, 1556, 540, 476, 4510, 1741, 10758, 1741, 476, 274, 270, 1556, 1535, 476, 4510, 815, 476, 1321, 3043, 26852, 692, 13707, 1297, 540, 6960, 26852, 815, 476, 279, 270, 1556, 540, 476, 4510, 1741, 10758, 1741, 476, 279, 270, 1556, 1535, 476, 4510, 815, 476, 3953, 3043, 26852, 692, 3719, 952, 519, 2698, 1297, 540, 26852, 568, 711, 513, 2789, 540, 476, 1556, 267, 1287, 519, 1297, 540, 3043, 543, 6960, 26852, 568, 711, 606, 2898, 1297, 269, 17166, 519, 1297, 540, 26852, 568, 476, 2412, 1384, 13707, 1297, 540, 3043, 26852, 815, 476, 274, 270, 1556, 540, 476, 2412, 5231, 10758, 1741, 476, 274, 270, 1556, 1535, 476, 2412, 815, 476, 1015, 269, 280, 3043, 26852, 692, 13707, 1297, 540, 6960, 26852, 815, 476, 279, 270, 1556, 540, 476, 2412, 1741, 10758, 1741, 476, 279, 270, 1556, 1535, 476, 2412, 815, 476, 3066, 269, 272, 3043, 26852, 692, 2791, 3112, 723, 476, 1015, 269, 280, 3043, 26852, 256, 634, 2626, 1590, 581, 513, 2898, 1297, 780, 4322, 2010, 540, 5223, 2055, 786, 2141, 946, 3688, 602, 666, 1406, 581, 5258, 267, 971, 607, 26852, 267, 27371, 267, 610, 1004, 269, 27294, 602, 666, 581, 5258, 267, 971, 607, 4006, 267, 6177, 6079, 267, 610, 13897, 267, 786, 581, 1031, 538, 824, 2010, 540, 5223, 2055, 780, 2252, 596, 991, 811, 948, 609, 12753, 610, 1616, 547, 1294, 1018, 824, 942, 22766, 31930, 2291, 593, 519, 20554, 4569, 3296, 267, 2638, 856, 938, 20554, 6030, 543, 2533, 780, 20124, 281, 3733, 590, 1442, 8571, 518, 267, 21806, 540, 6004, 11053, 514, 17584, 0, 258, 27387, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 272, 269, 12361, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 302, 330, 865, 1775, 723, 519, 3830, 586, 262, 284, 344, 317, 273, 12169, 268, 274, 7565, 344, 268, 276, 8203, 274, 692, 296, 1336, 519, 11466, 7158, 547, 581, 586, 284, 271, 267, 586, 284, 274, 267, 586, 284, 276, 780, 9989, 1250, 5123, 6516, 1413, 1318, 543, 1131, 581, 2953, 538, 6031, 519, 3435, 616, 9136, 2496, 763, 2063, 851, 12134, 14674, 519, 1279, 2165, 2623, 540, 519, 3070, 547, 519, 1657, 1019, 22460, 3830, 5976, 3355, 2783, 586, 263, 271, 264, 815, 476, 275, 780, 296, 6415, 711, 2386, 875, 547, 1205, 3323, 609, 713, 780, 1372, 548, 1540, 692, 274, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 5719, 548, 1540, 1946, 26042, 275, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 20357, 594, 7012, 1405, 8746, 621, 729, 2953, 269, 898, 781, 1250, 16253, 602, 781, 25216, 267, 711, 707, 2243, 780, 276, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 296, 9364, 4440, 1376, 676, 6061, 519, 16692, 269, 898, 781, 3021, 762, 13718, 277, 269, 12361, 1234, 281, 18001, 7412, 543, 1279, 2165, 2623, 609, 3355, 1871, 692, 23192, 17397, 676, 575, 18602, 12010, 454, 302, 330, 865, 1775, 723, 519, 3830, 586, 262, 284, 344, 317, 273, 12169, 268, 274, 7565, 344, 268, 276, 8203, 274, 692, 296, 1336, 519, 11466, 7158, 547, 581, 586, 284, 271, 267, 586, 284, 274, 267, 586, 284, 276, 780, 9989, 1250, 5123, 6516, 1413, 1318, 543, 1131, 581, 2953, 538, 6031, 519, 3435, 616, 9136, 2496, 763, 2063, 851, 12134, 14674, 519, 1279, 2165, 2623, 540, 519, 3070, 547, 519, 1657, 1019, 22460, 3830, 5976, 3355, 2783, 586, 263, 271, 264, 815, 476, 275, 780, 296, 6415, 711, 2386, 875, 547, 1205, 3323, 609, 713, 563, 7712, 596, 2811, 711, 3478, 513, 9522, 540, 4267, 594, 3513, 2328, 1018, 1250, 3206, 729, 780, 5575, 1055, 4729, 586, 262, 607, 513, 1599, 540, 586, 692, 3086, 1413, 693, 519, 19335, 2798, 476, 271, 267, 476, 274, 267, 543, 476, 276, 780, 4263, 586, 284, 271, 513, 1507, 32751, 542, 547, 519, 2451, 5012, 547, 513, 2318, 6991, 799, 5012, 1394, 547, 476, 271, 563, 288, 1507, 32751, 542, 547, 519, 1318, 849, 5012, 547, 2318, 6991, 799, 2417, 23131, 2476, 689, 476, 271, 780, 13295, 476, 271, 568, 606, 18633, 11466, 1448, 780, 4263, 586, 284, 274, 513, 1507, 32751, 542, 547, 519, 2451, 5012, 547, 2318, 6991, 543, 1394, 547, 476, 274, 563, 288, 1507, 32751, 542, 547, 519, 1318, 5012, 547, 2942, 6991, 543, 1394, 547, 476, 274, 780, 13295, 476, 274, 568, 513, 7123, 11466, 1448, 692, 4263, 476, 276, 596, 666, 1294, 519, 11466, 568, 18633, 780, 763, 5123, 6516, 5654, 899, 692, 2411, 734, 15010, 19203, 271, 9339, 15010, 1366, 274, 955, 283, 955, 268, 276, 1366, 285, 692, 296, 6415, 711, 4010, 2386, 1018, 9136, 1797, 538, 519, 2796, 540, 513, 2582, 1101, 1931, 11186, 3830, 269, 594, 9364, 1589, 782, 519, 11466, 2798, 723, 547, 581, 9136, 780, 2791, 666, 4194, 713, 11186, 3830, 855, 4223, 11490, 320, 7012, 1405, 2111, 547, 2097, 909, 609, 513, 6806, 1106, 3070, 585, 586, 538, 2474, 540, 1535, 269, 1411, 723, 547, 4734, 621, 17697, 1106, 780, 296, 1705, 4194, 621, 6746, 1227, 543, 621, 15225, 519, 2623, 4330, 1657, 267, 1498, 1247, 586, 284, 276, 568, 18633, 621, 781, 513, 7168, 7123, 18633, 267, 519, 6991, 568, 1360, 6366, 538, 713, 1858, 543, 621, 3217, 513, 3787, 540, 513, 562, 19276, 3006, 547, 21199, 621, 1055, 713, 1448, 269, 4495, 586, 4991, 513, 6263, 3787, 1657, 476, 276, 621, 3217, 1055, 1360, 6385, 2509, 20581, 780, 19185, 693, 519, 5123, 6516, 621, 781, 2653, 547, 1294, 602, 693, 586, 314, 271, 24557, 275, 519, 18330, 9843, 547, 543, 3936, 956, 693, 586, 284, 274, 269, 0, 258, 20031, 2747, 692, 1892, 9484, 476, 2767, 628, 476, 1001, 273, 267, 476, 4905, 281, 4649, 6751, 454, 329, 628, 20234, 1240, 454, 7093, 332, 2747, 454, 1692, 1082, 1114, 812, 2914, 2674, 15185, 666, 581, 4646, 693, 513, 7544, 1141, 972, 616, 476, 1321, 2021, 543, 476, 279, 2367, 2496, 272, 269, 476, 1321, 290, 272, 2608, 279, 290, 272, 610, 476, 1321, 303, 272, 2608, 279, 303, 272, 692, 273, 269, 476, 1708, 692, 274, 269, 476, 736, 2608, 476, 279, 692, 275, 269, 7183, 540, 519, 1657, 692, 2171, 1589, 519, 2626, 568, 476, 9834, 269, 1717, 267, 1312, 4267, 538, 1297, 476, 272, 3160, 476, 9834, 269, 1809, 267, 666, 581, 6566, 2747, 543, 4999, 855, 1927, 538, 835, 2626, 888, 1892, 9484, 476, 2767, 628, 476, 1001, 273, 267, 476, 6349, 281, 1724, 6751, 454, 13043, 334, 10048, 454, 3725, 281, 20031, 2747, 454, 12585, 6013, 538, 2596, 10203, 6240, 563, 1892, 9484, 476, 2767, 628, 476, 1001, 273, 267, 476, 6349, 281, 866, 6751, 454, 329, 628, 20234, 1240, 454, 3725, 281, 20031, 2747, 454, 3383, 602, 1131, 581, 476, 1321, 2608, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 23908, 10309, 630, 12507, 1046, 8210, 24555, 14037, 267, 966, 753, 15842, 267, 13785, 264, 1210, 519, 30733, 622, 4152, 7014, 630, 277, 1040, 634, 7014, 3769, 513, 1582, 5498, 21124, 3636, 5346, 1974, 1282, 799, 519, 5171, 7895, 4705, 693, 513, 17159, 4908, 1996, 2370, 610, 1100, 4187, 269, 634, 4152, 1974, 2838, 519, 5396, 547, 29465, 1996, 513, 2016, 4187, 267, 7229, 607, 476, 278, 269, 276, 260, 540, 519, 1560, 2597, 540, 519, 1641, 538, 13532, 267, 585, 476, 1789, 7643, 269, 901, 1974, 729, 4553, 676, 513, 3579, 6658, 1974, 602, 16768, 607, 1279, 607, 621, 729, 16363, 2556, 676, 519, 1641, 269, 4860, 30055, 829, 476, 276, 2034, 11996, 941, 18886, 543, 4294, 547, 519, 30733, 622, 4834, 630, 277, 1916, 1805, 31104, 543, 5295, 13281, 454, 1805, 31104, 7403, 941, 12290, 676, 476, 279, 17279, 5021, 338, 630, 279, 305, 300, 264, 585, 1896, 3076, 1206, 267, 1519, 20005, 14541, 2046, 267, 22833, 788, 1225, 331, 267, 28886, 788, 7903, 6658, 267, 1850, 1225, 331, 267, 1850, 10137, 267, 543, 20005, 4737, 269, 1280, 4879, 540, 1379, 267, 5396, 941, 4280, 547, 1685, 7299, 543, 8880, 26357, 267, 609, 4847, 4831, 332, 913, 618, 1354, 1142, 7914, 269, 634, 1655, 540, 476, 274, 26357, 729, 6592, 543, 1031, 585, 1239, 9382, 269, 26432, 7914, 4463, 729, 5462, 607, 519, 3017, 1063, 519, 4463, 540, 856, 560, 4958, 3481, 1688, 693, 1964, 543, 519, 5207, 1448, 519, 1641, 6603, 1282, 519, 7914, 282, 8880, 7914, 3845, 729, 5462, 676, 3355, 13941, 5544, 540, 519, 5396, 262, 24933, 593, 513, 6825, 11746, 2268, 630, 3451, 1916, 10574, 941, 9916, 1210, 590, 31723, 630, 309, 619, 542, 476, 866, 282, 22126, 267, 1488, 3000, 330, 267, 12924, 267, 7330, 1040, 29149, 7194, 267, 1519, 1611, 543, 10323, 941, 7229, 585, 782, 6364, 4632, 269, 4578, 729, 5258, 883, 2516, 1759, 593, 4008, 543, 6171, 667, 4567, 269, 18926, 1379, 630, 333, 815, 476, 2412, 264, 729, 4767, 547, 581, 476, 271, 269, 8064, 267, 543, 729, 7229, 1759, 593, 519, 13429, 602, 2043, 13844, 519, 5227, 2179, 540, 22292, 630, 10013, 264, 4598, 1131, 723, 3328, 16796, 476, 1839, 302, 8461, 9830, 540, 476, 2412, 23356, 6440, 332, 299, 6629, 272, 630, 280, 1040, 23527, 941, 2417, 5258, 1759, 593, 16796, 476, 1839, 302, 8461, 9830, 1657, 630, 14683, 264, 610, 2630, 630, 869, 264, 476, 3374, 23356, 6440, 332, 299, 6629, 272, 267, 799, 568, 2808, 7850, 16796, 476, 1839, 302, 8461, 585, 9308, 3742, 2043, 630, 1015, 1070, 4611, 538, 476, 275, 2516, 281, 968, 14683, 892, 2021, 630, 333, 815, 476, 1015, 1070, 968, 869, 892, 2021, 630, 333, 815, 476, 280, 1070, 968, 14683, 892, 2367, 630, 333, 815, 476, 280, 1070, 543, 968, 869, 2367, 892, 630, 333, 815, 476, 1556, 1040, 1452, 2516, 941, 4646, 1310, 1239, 4015, 267, 607, 5396, 941, 711, 29971, 1759, 593, 476, 1839, 302, 8461, 2157, 1354, 10014, 540, 519, 1353, 269, 589, 476, 272, 17574, 476, 275, 7400, 2079, 540, 13065, 729, 5342, 547, 3313, 1713, 3604, 1851, 891, 2516, 269, 6969, 8579, 4152, 267, 782, 1239, 941, 8947, 585, 4630, 23189, 540, 13065, 282, 519, 15895, 338, 941, 13761, 585, 2343, 1275, 609, 1744, 777, 10098, 8862, 559, 7719, 1449, 269, 17992, 725, 941, 711, 2556, 269, 9906, 781, 512, 2389, 3949, 609, 513, 12844, 2536, 1258, 328, 2789, 6476, 15494, 941, 1031, 2022, 554, 665, 269, 21942, 781, 1900, 3772, 9756, 2079, 729, 1031, 547, 3313, 3347, 1063, 782, 7403, 269, 13038, 9695, 3631, 1210, 28539, 13920, 267, 4008, 267, 7943, 4598, 267, 543, 8192, 6981, 607, 1071, 11398, 619, 941, 849, 7318, 269, 19043, 729, 1305, 693, 533, 18016, 476, 271, 269, 4962, 269, 2353, 2418, 4843, 616, 1611, 13008, 10323, 563, 24791, 667, 21073, 281, 21474, 540, 2271, 820, 543, 5395, 636, 12474, 454, 23562, 4868, 5396, 630, 280, 2021, 267, 476, 1556, 2367, 264, 4843, 609, 476, 1839, 302, 8461, 16796, 2157, 2630, 476, 3374, 23356, 6440, 332, 299, 6629, 272, 267, 799, 568, 2808, 547, 581, 2630, 3339, 538, 1762, 9308, 3742, 2043, 630, 1015, 264, 630, 8368, 476, 273, 1040, 634, 1611, 8192, 6171, 667, 6981, 585, 782, 5171, 729, 1175, 1657, 476, 272, 267, 1822, 594, 308, 829, 3018, 267, 543, 891, 2418, 1705, 711, 30136, 609, 16796, 2157, 630, 8368, 476, 273, 1040, 2271, 820, 729, 3648, 2362, 538, 782, 2367, 982, 538, 782, 2021, 630, 335, 815, 476, 271, 269, 16573, 5148, 2705, 267, 972, 729, 9444, 513, 1713, 3017, 538, 6981, 1063, 519, 968, 14683, 543, 968, 869, 892, 6171, 667, 2516, 630, 335, 815, 476, 271, 269, 11152, 1070, 6862, 729, 972, 513, 2078, 1063, 6171, 667, 6981, 543, 16796, 476, 1839, 302, 8461, 1543, 630, 337, 815, 6567, 271, 269, 1240, 1040, 4014, 519, 5227, 3232, 6981, 540, 6171, 667, 568, 476, 7785, 594, 308, 630, 4029, 1070, 610, 476, 275, 267, 1220, 594, 308, 829, 3018, 267, 1152, 476, 272, 1641, 538, 519, 1353, 1558, 713, 21205, 282, 2705, 267, 16796, 476, 1839, 302, 8461, 538, 713, 1367, 1869, 8593, 2630, 519, 3339, 476, 1839, 302, 8461, 1377, 563, 8794, 519, 5750, 532, 5650, 585, 3141, 4598, 267, 8464, 24132, 689, 476, 1556, 547, 476, 7367, 269, 1280, 4704, 267, 538, 519, 1353, 538, 799, 519, 5619, 6482, 729, 6069, 267, 519, 8464, 24132, 689, 476, 271, 547, 476, 6078, 630, 866, 1040, 901, 5619, 729, 8385, 1031, 609, 4079, 538, 7977, 8391, 4756, 5666, 540, 3141, 4598, 2901, 538, 942, 610, 2960, 7298, 585, 11158, 3346, 267, 855, 5870, 519, 6069, 10421, 585, 6190, 1439, 18100, 2504, 269, 769, 938, 1353, 267, 1346, 5396, 609, 2362, 3141, 4598, 8464, 22157, 547, 6108, 9645, 942, 13964, 267, 2901, 2866, 610, 6972, 593, 13464, 3079, 540, 6117, 269, 8409, 5396, 609, 2539, 8464, 941, 1346, 945, 1185, 6009, 602, 2838, 873, 547, 6108, 1034, 540, 519, 1554, 16280, 267, 609, 1152, 8766, 942, 6170, 13964, 593, 32300, 610, 2110, 23736, 1310, 960, 1282, 519, 10543, 269, 3962, 1641, 729, 4280, 547, 1867, 2436, 610, 711, 646, 610, 1352, 1031, 24429, 593, 513, 3232, 4493, 563, 10303, 1034, 5396, 941, 16543, 543, 1100, 5396, 941, 3979, 31787, 267, 972, 941, 1100, 11941, 1500, 538, 519, 1239, 585, 2960, 3159, 269, 769, 1840, 267, 972, 941, 1100, 1713, 3604, 538, 3141, 4598, 1063, 519, 2367, 543, 2021, 610, 519, 968, 14683, 892, 543, 968, 869, 892, 6171, 667, 2516, 630, 335, 815, 476, 271, 269, 5780, 543, 533, 815, 476, 271, 269, 10037, 267, 6606, 264, 630, 8368, 476, 273, 1040, 1284, 1705, 711, 7747, 1022, 1713, 3347, 1063, 3141, 4598, 543, 1022, 4632, 1369, 938, 1239, 1305, 950, 5258, 676, 4008, 610, 968, 869, 892, 610, 968, 14683, 892, 476, 1839, 302, 8461, 4567, 563, 28694, 23531, 543, 10163, 532, 5450, 20326, 15580, 454, 2467, 729, 513, 1713, 2942, 7678, 1063, 6171, 667, 4567, 543, 19483, 630, 337, 815, 6567, 271, 269, 30444, 267, 533, 815, 476, 271, 269, 30033, 1040, 31035, 689, 519, 4397, 3604, 538, 2600, 1560, 3170, 1063, 25469, 630, 335, 18016, 476, 271, 269, 9826, 1070, 972, 941, 1100, 824, 1713, 3604, 538, 2600, 1560, 3170, 1063, 2516, 630, 8368, 476, 272, 1040, 717, 11367, 941, 9916, 14384, 1317, 540, 519, 27753, 538, 1560, 3170, 1063, 2367, 543, 2021, 630, 3066, 1040, 1703, 941, 9444, 4767, 3466, 538, 1560, 3170, 538, 519, 2949, 1239, 1305, 630, 337, 815, 476, 271, 269, 27886, 267, 533, 815, 476, 271, 269, 11820, 1070, 538, 2021, 630, 337, 815, 476, 271, 269, 21327, 267, 533, 815, 476, 271, 269, 4391, 275, 264, 610, 538, 2367, 630, 337, 815, 6567, 271, 269, 31648, 267, 533, 815, 476, 271, 269, 7277, 1070, 6862, 3466, 538, 519, 10709, 1560, 2527, 630, 337, 815, 476, 271, 269, 5400, 279, 267, 533, 815, 476, 271, 269, 6872, 277, 1916, 2026, 4397, 267, 972, 729, 513, 1713, 3017, 1063, 681, 17307, 538, 2367, 543, 2021, 630, 335, 18016, 476, 271, 269, 9826, 264, 630, 8368, 476, 273, 264, 855, 1100, 1713, 3604, 538, 681, 17307, 1063, 519, 968, 14683, 892, 6171, 667, 1895, 543, 519, 968, 869, 892, 6171, 667, 1895, 630, 335, 815, 476, 271, 269, 11463, 264, 630, 8368, 476, 273, 1040, 1703, 729, 1100, 4767, 2078, 1063, 681, 17307, 543, 476, 1839, 302, 8461, 2949, 630, 337, 815, 476, 271, 269, 27886, 267, 533, 815, 476, 271, 269, 11820, 1070, 538, 8951, 630, 337, 815, 476, 271, 269, 11820, 267, 533, 815, 476, 271, 269, 4792, 277, 1070, 610, 538, 9038, 630, 337, 815, 476, 271, 269, 271, 6078, 267, 533, 815, 476, 271, 269, 279, 8287, 1916, 2467, 729, 513, 19250, 1713, 3017, 538, 966, 314, 23382, 1456, 29961, 26361, 316, 302, 273, 10946, 1063, 2367, 538, 519, 968, 869, 892, 543, 968, 14683, 892, 2516, 630, 335, 18016, 476, 271, 269, 4905, 1040, 1879, 968, 869, 892, 543, 968, 14683, 892, 2516, 941, 14404, 1881, 676, 4008, 267, 1164, 2367, 1185, 10199, 513, 476, 736, 260, 2362, 966, 314, 23382, 1456, 29961, 26361, 316, 302, 273, 10946, 3379, 609, 1346, 945, 8593, 2630, 519, 3339, 3044, 630, 8201, 476, 272, 1040, 901, 2078, 729, 711, 4767, 538, 2021, 269, 1703, 729, 513, 1713, 2078, 538, 519, 2949, 1239, 1305, 1063, 476, 1839, 302, 8461, 543, 966, 314, 23382, 1456, 29961, 26361, 316, 302, 273, 10946, 630, 337, 815, 476, 271, 269, 11740, 267, 533, 815, 476, 271, 269, 26289, 1070, 799, 7283, 1713, 538, 2367, 630, 337, 815, 476, 271, 269, 5325, 278, 267, 533, 815, 476, 271, 269, 30033, 264, 855, 711, 538, 2021, 630, 337, 815, 6567, 271, 269, 20969, 267, 533, 815, 476, 271, 269, 4391, 280, 1040, 8447, 2534, 18102, 1239, 7000, 602, 972, 729, 513, 3575, 540, 1312, 16608, 268, 543, 4187, 2389, 11712, 9845, 538, 1312, 519, 968, 14683, 892, 630, 754, 4269, 562, 815, 476, 1428, 282, 4187, 562, 815, 476, 275, 264, 543, 519, 968, 869, 892, 2516, 630, 754, 4269, 562, 815, 476, 1724, 282, 4187, 562, 815, 476, 276, 1916, 2304, 320, 21740, 1379, 630, 335, 18016, 476, 271, 269, 9826, 264, 729, 3648, 2362, 538, 2367, 982, 2021, 282, 2705, 267, 972, 941, 1100, 1713, 3604, 538, 26103, 1379, 1759, 593, 476, 1839, 302, 8461, 4567, 630, 335, 815, 476, 271, 269, 10602, 585, 2021, 543, 533, 815, 476, 271, 269, 4097, 585, 2367, 264, 630, 8368, 476, 273, 1040, 634, 3668, 540, 4644, 729, 9738, 950, 9236, 6207, 7403, 610, 26334, 829, 1560, 2597, 630, 11899, 264, 1063, 519, 968, 869, 892, 543, 968, 14683, 892, 476, 1839, 302, 8461, 2516, 269, 1703, 729, 1100, 4767, 7678, 1063, 476, 1839, 302, 8461, 543, 26103, 1379, 630, 337, 815, 476, 271, 269, 12208, 267, 533, 815, 476, 271, 269, 5325, 273, 264, 610, 476, 1839, 302, 8461, 543, 3448, 26103, 1379, 630, 337, 815, 476, 271, 269, 26951, 267, 533, 815, 476, 271, 269, 14695, 1040, 1306, 4397, 267, 2367, 1185, 3648, 2362, 476, 279, 305, 16039, 538, 782, 3076, 1206, 3379, 609, 2021, 630, 335, 18016, 476, 271, 269, 9826, 7565, 8368, 476, 273, 1040, 1717, 267, 972, 941, 1100, 1713, 3604, 1063, 519, 968, 869, 892, 543, 968, 14683, 892, 476, 1839, 302, 8461, 2516, 538, 1022, 540, 519, 476, 279, 305, 300, 7403, 630, 8368, 476, 273, 1070, 1256, 950, 14404, 1881, 676, 4008, 630, 8368, 476, 274, 1040, 1703, 941, 1100, 4767, 3347, 538, 519, 2949, 1239, 1305, 1063, 16796, 476, 1839, 302, 8461, 543, 1022, 540, 519, 476, 279, 305, 300, 7403, 630, 17754, 577, 678, 815, 6567, 271, 269, 4962, 278, 267, 533, 815, 476, 271, 269, 278, 1626, 282, 1850, 1225, 331, 678, 815, 476, 271, 269, 271, 4649, 267, 533, 815, 476, 271, 269, 278, 1839, 282, 1850, 10137, 678, 815, 476, 271, 269, 6507, 267, 533, 815, 476, 271, 269, 25118, 282, 20005, 4737, 678, 815, 476, 271, 269, 271, 4375, 267, 533, 815, 476, 271, 269, 26764, 282, 22833, 788, 1225, 331, 678, 815, 6567, 271, 269, 4962, 278, 267, 533, 815, 476, 271, 269, 278, 1704, 282, 28886, 788, 7903, 6658, 678, 815, 476, 271, 269, 22650, 267, 533, 815, 476, 271, 269, 9032, 275, 282, 7299, 7914, 678, 815, 476, 271, 269, 18684, 267, 533, 815, 476, 271, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2878, 14399, 781, 4324, 4995, 7102, 8200, 5634, 1126, 630, 9767, 978, 518, 982, 476, 1240, 264, 610, 16981, 1126, 540, 1022, 2085, 267, 945, 729, 2907, 10655, 2640, 593, 707, 20516, 781, 2272, 1354, 1352, 5747, 267, 1131, 1832, 8391, 1346, 2640, 269, 1717, 267, 972, 616, 7182, 547, 519, 2179, 540, 2724, 835, 1920, 666, 1205, 829, 3923, 267, 865, 952, 2789, 1453, 20618, 267, 621, 1522, 581, 5258, 1851, 873, 780, 3086, 1577, 781, 2263, 1946, 971, 4507, 2291, 543, 1018, 1909, 789, 1404, 1369, 2797, 2257, 543, 1857, 3609, 5717, 780, 1262, 3963, 798, 22749, 20644, 18984, 643, 528, 11588, 15140, 294, 4261, 906, 2709, 31848, 2640, 5631, 856, 540, 6161, 585, 1514, 10304, 1107, 4180, 1004, 723, 1569, 547, 2596, 29476, 5103, 6397, 2621, 269, 1635, 3246, 15000, 609, 4747, 15364, 267, 14519, 2832, 547, 13468, 2883, 24675, 2404, 609, 2530, 269, 3958, 267, 5356, 891, 3106, 24437, 7512, 811, 4961, 547, 3565, 547, 4317, 8232, 936, 942, 2094, 789, 917, 789, 3513, 28231, 12587, 2663, 538, 1272, 610, 2390, 519, 2669, 540, 513, 7700, 1920, 4759, 780, 1103, 9759, 267, 31848, 2640, 4196, 607, 1312, 513, 8825, 2268, 1996, 6710, 543, 513, 1797, 540, 5807, 3972, 1063, 2043, 543, 741, 12044, 4703, 269, 898, 9727, 602, 1857, 3609, 15109, 1585, 5933, 540, 1272, 543, 1193, 1161, 547, 1711, 1949, 602, 10575, 3424, 2950, 1282, 4101, 2053, 780, 1262, 8777, 1645, 8479, 9650, 338, 16001, 2026, 2104, 17037, 543, 2146, 3401, 267, 1620, 1857, 3609, 2152, 899, 31848, 2640, 2636, 1647, 1153, 1053, 547, 4497, 24617, 538, 7391, 4478, 1514, 5126, 267, 7862, 267, 543, 3743, 10350, 269, 11559, 15032, 547, 1382, 3606, 3344, 540, 4317, 8232, 610, 2015, 875, 2147, 3292, 7500, 538, 1114, 2477, 269, 9181, 687, 1472, 3584, 899, 891, 7668, 6107, 547, 1831, 5483, 5171, 5935, 2486, 781, 18330, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 1933, 332, 2355, 3657, 3767, 12232, 2336, 8450, 6402, 2630, 256, 4841, 1058, 2743, 609, 606, 25129, 3823, 741, 5358, 10003, 14090, 563, 303, 11823, 3163, 267, 645, 6993, 269, 5358, 630, 6344, 4559, 994, 763, 2797, 2257, 6437, 2337, 1053, 547, 10536, 606, 6896, 1560, 540, 1702, 827, 2229, 543, 547, 1589, 2555, 21154, 827, 1857, 3609, 267, 1876, 267, 543, 6214, 269, 634, 2797, 2257, 4110, 22316, 20021, 547, 4283, 11678, 538, 2229, 267, 1857, 3028, 267, 1857, 7245, 267, 1857, 3609, 2079, 267, 15424, 14223, 267, 1870, 267, 3486, 1894, 267, 543, 3450, 269, 3509, 2836, 3557, 5101, 7345, 2797, 2257, 20021, 3136, 741, 4081, 11678, 538, 1876, 1153, 267, 610, 538, 519, 13287, 540, 10927, 5232, 538, 2797, 2257, 610, 1857, 3609, 2079, 563, 25284, 4804, 27159, 454, 10743, 4271, 908, 609, 513, 645, 6993, 269, 538, 11572, 3163, 786, 581, 2111, 547, 912, 268, 1020, 543, 24808, 606, 1620, 540, 11180, 3069, 543, 2259, 543, 2744, 4052, 1995, 538, 6214, 267, 1857, 3609, 267, 543, 18523, 6278, 563, 268, 6542, 4278, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20776, 341, 643, 528, 11588, 543, 654, 573, 578, 3125, 8081, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 5398, 8889, 1315, 4317, 8232, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1556, 281, 7591, 10657, 538, 4132, 543, 32183, 31499, 692, 296, 269, 4985, 454, 288, 269, 9502, 540, 1404, 3797, 454, 289, 269, 8466, 4282, 543, 1646, 454, 290, 269, 10020, 540, 1404, 538, 1126, 1646, 454, 291, 269, 11933, 3749, 13210, 540, 1404, 3797, 454, 292, 269, 7351, 3156, 543, 2104, 8846, 692, 2862, 269, 5853, 1049, 16610, 540, 7591, 10657, 454, 288, 269, 1548, 568, 1404, 888, 272, 269, 4197, 1404, 607, 513, 2067, 7154, 540, 2792, 585, 1453, 454, 273, 269, 22553, 540, 1404, 281, 6198, 267, 5559, 520, 1242, 267, 12572, 267, 543, 3756, 609, 3652, 454, 274, 269, 11957, 540, 1404, 538, 5042, 267, 3929, 267, 1514, 267, 543, 2168, 1646, 454, 289, 269, 14362, 540, 1404, 3797, 454, 272, 269, 12861, 513, 2922, 543, 11215, 1604, 454, 273, 269, 11374, 519, 1126, 781, 1291, 454, 274, 269, 26787, 9354, 2078, 998, 1140, 2317, 618, 543, 6568, 454, 275, 269, 18964, 1582, 22325, 543, 5876, 454, 276, 269, 11120, 22626, 1966, 6061, 1983, 543, 12003, 2994, 692, 7656, 269, 9537, 540, 7591, 10657, 22604, 454, 288, 269, 6034, 633, 5288, 6348, 1673, 1311, 633, 4485, 454, 272, 269, 6034, 633, 1935, 281, 8606, 658, 3797, 267, 15465, 15515, 24173, 1404, 3797, 630, 290, 289, 8976, 1070, 543, 23247, 25700, 5042, 15515, 24173, 3797, 630, 307, 293, 4211, 6630, 994, 273, 269, 6348, 1673, 1311, 633, 1935, 281, 12287, 31588, 1229, 7591, 10657, 630, 15425, 8976, 264, 543, 4132, 31588, 1229, 7591, 10657, 630, 6717, 8976, 994, 289, 269, 6715, 13577, 3631, 454, 272, 269, 14271, 1120, 2045, 7591, 10657, 630, 306, 8976, 2567, 10128, 23798, 543, 11009, 883, 1404, 3797, 2259, 454, 273, 269, 25833, 29766, 7844, 630, 11403, 300, 2567, 5466, 13613, 2152, 1210, 1404, 3797, 2553, 692, 4353, 269, 10495, 543, 16214, 538, 7591, 10657, 454, 288, 269, 2776, 7308, 2805, 4879, 454, 272, 269, 11916, 11042, 543, 7422, 454, 273, 269, 9977, 26830, 543, 12773, 10253, 454, 274, 269, 9208, 1242, 3800, 543, 10368, 2645, 454, 289, 269, 744, 32054, 6268, 1282, 3797, 454, 272, 269, 16424, 3356, 543, 2126, 3853, 454, 273, 269, 17291, 1761, 7496, 610, 2591, 454, 274, 269, 21664, 609, 15637, 267, 3610, 267, 543, 824, 4648, 454, 290, 269, 5403, 7308, 2805, 1246, 909, 543, 6364, 20241, 454, 272, 269, 25732, 1279, 3856, 2360, 543, 6940, 540, 12374, 1500, 538, 3797, 454, 273, 269, 22034, 2022, 7308, 2805, 10526, 547, 1217, 2104, 7459, 543, 1655, 2853, 692, 309, 269, 10241, 540, 7591, 10657, 538, 7981, 7377, 2827, 454, 288, 269, 5753, 609, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 994, 272, 269, 30459, 3350, 543, 10444, 14242, 1369, 7886, 454, 273, 269, 18601, 20949, 1852, 543, 3007, 7965, 454, 274, 269, 25417, 4081, 9740, 543, 9263, 3347, 454, 289, 269, 15272, 10010, 609, 4160, 4713, 454, 272, 269, 8490, 30840, 543, 2566, 5786, 1983, 454, 273, 269, 22452, 543, 3210, 6604, 2553, 9862, 585, 6107, 454, 274, 269, 31514, 7553, 7939, 5759, 454, 290, 269, 11554, 609, 26144, 8552, 4524, 630, 32359, 264, 2551, 454, 272, 269, 15043, 1514, 5872, 543, 2792, 1983, 454, 273, 269, 674, 29183, 19511, 1404, 543, 5133, 2921, 454, 274, 269, 19484, 13289, 543, 15268, 547, 2242, 692, 9654, 269, 15979, 543, 12333, 11621, 538, 7591, 10657, 6657, 454, 288, 269, 13397, 839, 675, 4170, 543, 19609, 532, 4703, 454, 272, 269, 5948, 585, 7591, 10657, 630, 4338, 307, 994, 273, 269, 1977, 16723, 5948, 630, 4338, 288, 264, 10406, 476, 5655, 910, 5980, 585, 28968, 538, 26859, 15789, 454, 289, 269, 19078, 4808, 543, 3741, 454, 272, 269, 14847, 775, 543, 3318, 5539, 454, 273, 269, 8836, 8417, 543, 13784, 454, 274, 269, 4762, 7808, 640, 267, 5483, 9844, 267, 543, 2385, 5698, 454, 275, 269, 8111, 9679, 267, 15360, 267, 543, 5571, 2069, 692, 23997, 269, 8892, 19648, 543, 24021, 12367, 538, 7591, 10657, 3194, 543, 6657, 454, 288, 269, 25790, 538, 2029, 543, 5691, 5867, 454, 272, 269, 6732, 15569, 543, 29492, 454, 273, 269, 14044, 4641, 4598, 3797, 585, 8156, 8194, 543, 943, 984, 5362, 454, 274, 269, 7913, 9423, 543, 3014, 2861, 7459, 454, 289, 269, 11671, 321, 5735, 543, 27981, 7497, 540, 1404, 3797, 454, 272, 269, 15766, 908, 2634, 6127, 5817, 10835, 1689, 543, 2208, 454, 273, 269, 24356, 5444, 4082, 3270, 2404, 609, 3811, 3797, 4093, 454, 290, 269, 667, 5744, 543, 26173, 5095, 538, 1404, 3797, 1382, 454, 272, 269, 5890, 21505, 10333, 543, 10014, 3646, 454, 273, 269, 23207, 4763, 1851, 19353, 267, 3173, 267, 543, 7855, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25603, 3776, 10076, 2657, 12243, 454, 5978, 5004, 12243, 454, 5978, 10076, 2657, 9615, 3038, 11107, 454, 17809, 11107, 616, 4867, 16561, 1007, 7218, 269, 13555, 721, 693, 476, 25148, 268, 8517, 268, 21327, 280, 267, 4781, 476, 272, 267, 547, 8430, 606, 13393, 22812, 2536, 1537, 563, 1262, 7490, 4063, 281, 2353, 7426, 616, 4867, 3246, 17791, 8234, 7896, 2878, 454, 7804, 269, 19811, 4607, 1010, 6481, 23422, 689, 519, 2160, 540, 15930, 267, 22768, 267, 538, 476, 1220, 274, 269, 1261, 22002, 1010, 4937, 24741, 2866, 693, 20999, 2160, 267, 799, 646, 6192, 538, 476, 1220, 278, 269, 3220, 269, 19811, 8120, 547, 519, 2160, 540, 15930, 267, 22768, 267, 585, 1010, 4132, 543, 32183, 24741, 2866, 267, 799, 646, 6192, 538, 476, 1220, 280, 269, 3220, 269, 19811, 24870, 538, 6646, 2359, 540, 17867, 2175, 563, 3891, 814, 1880, 1719, 538, 6689, 1644, 2175, 267, 1519, 11838, 267, 17520, 4713, 267, 543, 4201, 2065, 15136, 269, 1261, 1568, 609, 1453, 267, 10708, 267, 543, 4079, 563, 9616, 281, 3220, 269, 19811, 1568, 538, 519, 3683, 548, 320, 8433, 267, 4092, 538, 519, 25028, 3118, 1773, 18054, 543, 519, 4498, 5112, 6019, 8433, 563, 17442, 307, 30377, 4607, 1200, 9457, 540, 3163, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 4132, 1299, 32183, 1315, 7591, 10657, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 5530, 589, 1749, 585, 6406, 6796, 1401, 3133, 725, 1107, 12124, 12020, 543, 4886, 29760, 593, 29258, 781, 9978, 4065, 3590, 692, 296, 269, 4985, 454, 31413, 4058, 543, 1646, 1404, 2629, 5107, 538, 5935, 4872, 262, 1514, 267, 2804, 267, 2825, 267, 543, 2686, 8916, 269, 769, 3624, 267, 3540, 22063, 616, 3743, 585, 7598, 4683, 4507, 602, 3895, 4264, 2208, 543, 12581, 1569, 547, 1857, 2533, 269, 901, 1576, 1770, 786, 1683, 1353, 11226, 585, 3540, 3028, 18362, 5059, 593, 4683, 4058, 543, 1646, 998, 606, 6514, 540, 29258, 781, 2596, 2069, 1062, 269, 1635, 3695, 29258, 781, 1995, 538, 7598, 922, 8370, 4458, 25471, 2069, 3609, 267, 713, 1770, 6663, 547, 15052, 707, 1620, 540, 1883, 2152, 538, 4683, 4058, 543, 1646, 1247, 3246, 4052, 4030, 883, 2500, 10350, 2994, 780, 2862, 269, 8466, 11137, 540, 29258, 781, 9978, 4065, 3590, 454, 288, 269, 19372, 618, 540, 519, 27607, 268, 17413, 3281, 6160, 800, 4065, 3590, 630, 2735, 276, 994, 289, 269, 28841, 540, 7457, 547, 10866, 12729, 543, 18520, 12140, 630, 1960, 271, 338, 994, 290, 269, 7351, 12367, 281, 5398, 6261, 337, 10675, 16890, 4721, 543, 3427, 14893, 24727, 692, 7656, 269, 6206, 16610, 538, 12124, 12020, 543, 4886, 11930, 547, 29258, 781, 9978, 4065, 3590, 454, 288, 269, 18043, 8092, 2422, 543, 2098, 11238, 11150, 454, 272, 269, 21344, 10821, 267, 5010, 267, 4853, 267, 16351, 267, 543, 12250, 2244, 3096, 3248, 273, 269, 31514, 14479, 1063, 16973, 3842, 6283, 5121, 3248, 274, 269, 23840, 2591, 5185, 676, 29258, 781, 24990, 281, 8425, 30826, 543, 10097, 8027, 780, 289, 269, 24054, 538, 12409, 19662, 454, 272, 269, 18601, 13103, 2066, 14227, 2516, 267, 13664, 2127, 267, 543, 22097, 3248, 273, 269, 26472, 8537, 2069, 998, 6098, 7459, 3248, 274, 269, 16424, 3356, 2509, 9698, 3853, 1210, 9969, 326, 27935, 1239, 2079, 780, 290, 269, 20885, 543, 26504, 538, 12124, 28805, 454, 272, 269, 5682, 5989, 1374, 543, 5610 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 525, 6834, 476, 272, 454, 453, 19677, 12500, 611, 318, 29674, 525, 6910, 263, 29674, 994, 453, 16596, 1582, 12500, 611, 318, 29674, 525, 692, 22592, 711, 318, 12072, 4311, 2187, 453, 453, 18851, 11514, 2452, 602, 519, 6345, 814, 29921, 606, 23380, 1915, 543, 723, 873, 2119, 1586, 12163, 453, 19677, 269, 27234, 4590, 453, 13537, 2891, 6546, 568, 711, 4484, 256, 8347, 1586, 23528, 453, 16596, 1582, 269, 12528, 4671, 787, 10797, 22592, 1482, 318, 12072, 318, 29674, 4311, 2187, 453, 453, 18851, 11514, 2452, 519, 6345, 814, 2907, 31665, 602, 2262, 256, 12163, 453, 19677, 269, 27234, 4590, 453, 13537, 2891, 2791, 723, 2907, 31665, 602, 4484, 256, 8347, 1586, 23528, 453, 16596, 1582, 269, 12528, 4671, 787, 10797, 22592, 4986, 318, 29674, 539, 4311, 2187, 453, 453, 18851, 11514, 2452, 519, 6345, 29921, 4986, 12163, 453, 19677, 269, 27234, 4590, 453, 13537, 2891, 2791, 1705, 711, 1826, 4376, 256, 8347, 1586, 23528, 453, 16596, 1582, 269, 12528, 4671, 787, 10797, 22592, 3014, 318, 1478, 318, 7773, 4311, 267, 5728, 29999, 2187, 453, 453, 18851, 763, 3014, 568, 936, 543, 519, 6345, 4465, 12163, 453, 13537, 2891, 2791, 4465, 519, 3014, 256, 634, 2262, 729, 15079, 2668, 8971, 4311, 269, 572, 4038, 29999, 4917, 453, 16596, 19523, 20216, 527, 10797, 22592, 1404, 318, 28785, 4311, 2187, 453, 453, 18851, 16485, 519, 6345, 952, 789, 1616, 547, 1404, 1586, 12163, 453, 453, 28785, 815, 3403, 2891, 2710, 596, 1616, 547, 1404, 1586, 286, 962, 14672, 19515, 453, 14851, 1586, 11203, 1412, 333, 12466, 4848, 16596, 1582, 15630, 1575, 4590, 453, 28432, 912, 4848, 16596, 19523, 20216, 527, 10797, 22592, 3014, 318, 1478, 9078, 846, 4311, 267, 5728, 29999, 267, 8642, 2187, 453, 453, 18851, 763, 3014, 568, 936, 543, 519, 6345, 4503, 12163, 453, 13537, 3488, 24001, 1422, 333, 8339, 8971, 14116, 1429, 545, 4917, 453, 13537, 2891, 2791, 4503, 256, 634, 5728, 29999, 729, 15079, 2668, 8971, 4311, 269, 572, 4038, 29999, 4917, 453, 16596, 19523, 20216, 527, 10797, 22592, 4159, 14682, 1429, 923, 4311, 267, 7058, 525, 2187, 453, 453, 18851, 11514, 2452, 519, 12449, 540, 519, 13793, 2006, 12163, 453, 14851, 1582, 3052, 340, 612, 525, 2652, 476, 271, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 14706, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 272, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 821, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 273, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 6745, 6851, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 274, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 22764, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 275, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 8807, 712, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 276, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 8807, 633, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 277, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 4732, 1460, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 278, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 269, 572, 1597, 4590, 453, 453, 19197, 1582, 3052, 340, 612, 525, 2652, 476, 279, 912, 4848, 16596, 670, 836, 2006, 20877, 923, 4318, 697, 10797, 22592, 4159, 318, 16769, 4311, 267, 10145, 29999, 2187, 453, 453, 18851, 11514, 2452, 10145, 2262, 543, 7058, 525, 2907, 13603, 12163, 453, 13537, 19629, 333, 763, 2262, 568, 15079, 3197, 1279, 14826, 2668, 8971, 12759, 4311, 269, 572, 4038, 29999, 21875, 453, 13537, 2891, 4449, 16875, 2715, 4153, 333, 2668, 8971, 4311, 269, 5891, 14682, 1429, 923, 4311, 3052, 340, 612, 525, 21875, 453, 13537, 2891, 346, 4153, 333, 14826, 2668, 8971, 4311, 269, 29734, 29999, 4917, 453, 22610, 4484, 538, 1582, 12500, 611, 318, 29674, 525, 912, 4848, 13537, 3488, 24001, 8339, 8971, 263, 12072, 1070, 1439, 8782, 1412, 2020, 22592, 2312, 4311, 2187, 453, 453, 18851, 28733, 519, 5496, 585, 4443, 31824, 12163, 453, 14851, 15259, 20508, 2652, 1412, 660, 12466, 4848, 16596, 15259, 269, 17882, 3488, 743, 338, 5073, 453, 28432, 912, 4848, 16596, 15259, 269, 17882, 3488, 27234, 17210, 22592, 14764, 4311, 2187, 453, 453, 18851, 15675, 799, 3014, 1604, 547, 1376, 909, 12163, 453, 453, 18528, 22187, 815, 3403, 2891, 1432, 7411, 798, 596, 1616, 547, 1404, 286, 27029, 4848, 15235, 567, 834, 314, 292, 316, 6470, 286, 1496, 300, 316, 539, 1756, 286, 610, 1496, 295, 316, 731, 286, 17292, 513, 4484, 27029, 4848, 15235, 567, 834, 514, 519, 23049, 269, 834, 1040, 12294, 4590, 453, 14851, 7411, 2652, 1412, 324, 12466, 4848, 453, 18524, 815, 7411, 27133, 14005, 9950, 6470, 300, 1712, 263, 16651, 284, 6358, 2891, 1432, 568, 707, 2012, 6345, 286, 27328, 4848, 453, 18524, 269, 1037, 4590, 453, 453, 19197, 7411, 2652, 1412, 332, 12466, 4848, 453, 18524, 815, 7411, 27133, 14005, 8160, 539, 1756, 300, 1712, 263, 16651, 284, 6358, 2891, 1432, 568, 707, 2012, 6345, 286, 27328, 4848, 453, 18524, 269, 1037, 4590, 453, 453, 19197, 7411, 2652, 1412, 327, 12466, 4848, 453, 18524, 815, 7411, 27133, 14005, 13034, 731, 300, 1712, 263, 16651, 284, 6358, 2891, 1432, 568, 707, 2012, 6345, 286, 27328, 4848, 453, 18524, 269, 1037, 4590, 453, 453, 19197, 7411, 711, 538, 1412, 655, 327, 12466, 4848, 13537, 2891, 6546, 568, 711, 513, 4570, 7411, 269, 8347, 1586, 26142, 333, 15419, 22592, 5180, 4311, 2187, 453, 453, 18851, 8620, 513, 5180, 540, 519, 3014, 12163, 453, 453, 6112, 1582, 3052, 340, 612, 525, 2999, 476, 279, 912, 4848, 19677, 269, 2452, 4590, 453, 28432, 912, 4848, 16596, 1582, 3052, 877, 318, 1478, 9078, 846, 4311, 269, 572, 4038, 29999, 267, 670, 836, 2006, 20877, 923, 4318, 697, 31156, 22592, 1404, 4311, 2187, 453, 453, 18851, 9359, 519, 3014, 12163, 453, 453, 12528, 318, 29674, 815, 1582, 269, 12528, 4671, 787, 4590, 453, 453, 2431, 318, 528, 16062, 3994, 815, 1582, 269, 13765, 4671, 787, 263, 12528, 318, 29674, 314, 271, 3910, 1582, 269, 572, 4038, 29999, 267, 26444, 20930, 4848, 15235, 19677, 12500, 611, 318, 29674, 525, 267, 3593, 318, 29674, 314, 272, 7481, 453, 16596, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 657, 269, 17882, 3488, 743, 338, 262, 952, 15259, 20508, 2652, 1412, 660, 262, 3116, 1412, 27234, 5073, 453, 6112, 6936, 912, 453, 453, 18524, 815, 670, 836, 2006, 4590, 453, 453, 18524, 15630, 1575, 3890, 0, 258, 1234, 548, 1078, 547, 1053, 5897, 5814, 19523, 5897, 3698, 1292, 263, 1173, 341, 8029, 825, 952, 7003, 263, 1173, 341, 264, 11203, 476, 272, 6769, 1038, 1820, 2891, 5825, 720, 281, 9226, 3236, 318, 20777, 1807, 18258, 1496, 12949, 15461, 17750, 18316, 316, 14744, 1038, 2132, 1477, 825, 1820, 263, 15263, 19152, 263, 1173, 341, 314, 271, 8079, 10142, 3698, 1184, 19152, 4433, 8029, 825, 1710, 815, 1930, 4433, 267, 834, 337, 14744, 825, 1899, 815, 1710, 18667, 1467, 14061, 20889, 14052, 825, 952, 7003, 263, 1467, 264, 11203, 476, 272, 610, 711, 1899, 314, 271, 4940, 529, 323, 13424, 28399, 1038, 2132, 834, 18118, 476, 272, 1590, 2270, 513, 2582, 8870, 1701, 1477, 825, 715, 815, 703, 263, 1467, 314, 271, 29573, 825, 952, 715, 2999, 476, 272, 610, 715, 3436, 476, 4335, 6769, 1038, 2132, 834, 301, 1590, 581, 606, 8870, 1063, 476, 272, 543, 476, 4335, 267, 8537, 1701, 5897, 825, 1899, 815, 1710, 18667, 1467, 14061, 20889, 14052, 825, 952, 7003, 263, 1467, 264, 3436, 715, 6769, 1038, 2132, 834, 2467, 3112, 581, 811, 982, 715, 1453, 14622, 1701, 5897, 825, 1453, 815, 1496, 15947, 825, 585, 1126, 538, 1899, 6769, 1038, 952, 711, 1126, 18994, 323, 13424, 28399, 2018, 2132, 834, 763, 1899, 540, 1453, 1590, 2270, 9981, 29177, 1038, 1126, 815, 703, 263, 18876, 3418, 1038, 952, 1126, 2999, 476, 271, 610, 1126, 13843, 715, 6769, 2018, 2132, 834, 10376, 1126, 4994, 1590, 581, 1063, 476, 271, 543, 715, 268, 272, 29177, 1038, 1453, 6910, 263, 18876, 10142, 825, 546, 815, 20886, 271, 585, 795, 538, 2039, 18217, 13580, 585, 1775, 538, 2039, 18217, 13580, 1477, 825, 585, 1775, 538, 2039, 18217, 8029, 1038, 1899, 815, 1710, 18667, 1467, 14061, 20889, 14052, 1038, 952, 7003, 263, 1467, 264, 11203, 715, 6769, 2018, 2132, 834, 18118, 834, 1341, 1193, 9217, 266, 273, 264, 1341, 834, 1590, 2270, 715, 9981, 1701, 1477, 1038, 585, 795, 538, 2039, 18217, 8029, 2018, 952, 711, 1899, 14728, 4940, 529, 323, 13424, 28399, 3546, 2132, 834, 18118, 834, 1341, 1193, 9217, 266, 273, 264, 1341, 834, 1590, 2270, 715, 9981, 1701, 1477, 2018, 546, 5157, 6012, 329, 316, 815, 703, 263, 1467, 14728, 29573, 2018, 952, 546, 5157, 6012, 329, 316, 2999, 476, 271, 610, 546, 5157, 6012, 329, 316, 3436, 476, 272, 6769, 3546, 2132, 834, 763, 7755, 659, 1890, 5119, 1590, 581, 16922, 540, 476, 271, 338, 543, 476, 272, 338, 1701, 1477, 825, 585, 1775, 538, 2039, 18217, 8029, 1038, 952, 546, 5157, 6012, 328, 316, 11203, 476, 271, 6769, 2018, 2132, 834, 288, 6843, 3112, 723, 606, 6316, 547, 3294, 1701, 1477, 825, 2132, 834, 27349, 21453, 257, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1292, 4433, 903, 27769, 341, 314, 272, 281, 29573, 0, 5814, 1770, 11687, 454, 5228, 21912, 8266, 1104, 21912, 8266, 692, 5035, 5871, 299, 22075, 8266, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 264, 23241, 825, 1219, 1305, 10000, 4311, 264, 10778, 1038, 1582, 269, 4289, 815, 21912, 8266, 4590, 1038, 1582, 269, 4289, 14491, 5575, 3488, 14140, 272, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 273, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 274, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 275, 5073, 1038, 1582, 269, 4289, 14491, 8310, 3488, 14140, 276, 5073, 1038, 1820, 3488, 3553, 909, 17210, 825, 1219, 15237, 291, 1144, 4311, 264, 10778, 1038, 1820, 3488, 339, 792, 1524, 17210, 825, 1219, 1449, 318, 1326, 4311, 264, 10778, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 271, 1070, 1412, 14140, 272, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 272, 1070, 1412, 14140, 273, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 273, 1070, 1412, 14140, 274, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 274, 1070, 1412, 14140, 275, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 275, 1070, 1412, 14140, 276, 17210, 1038, 1582, 27863, 4311, 269, 4289, 10947, 263, 2412, 1070, 1412, 14140, 276, 5073, 1038, 1582, 27863, 4311, 269, 4289, 10947, 8987, 2412, 1070, 1412, 14140, 272, 17210, 825, 1219, 1449, 318, 13757, 4311, 264, 10778, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 272, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 273, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 274, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 275, 29125, 1038, 1582, 20596, 12148, 4311, 269, 4289, 269, 13757, 3488, 14140, 276, 29125, 1038, 1582, 20596, 16178, 4311, 269, 4289, 269, 13757, 3488, 16149, 272, 10807, 2020, 825, 1219, 1449, 16229, 8170, 4311, 264, 10778, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 272, 30670, 476, 271, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 273, 30670, 476, 272, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 274, 30670, 476, 273, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 275, 30670, 476, 274, 994, 1038, 1582, 27863, 4311, 269, 4289, 28827, 8170, 3488, 14140, 276, 30670, 476, 275, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]