libitofin 0.7.0

// @generated by scripts/gen_sobol_tables.py - do not edit by hand.

#[rustfmt::skip]
pub(super) static DATA: &[u32] = &[
    1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 7, 1, 1, 1, 3,
    7, 1, 3, 1, 7, 23, 1, 1, 5, 1, 27, 1, 3, 5, 3, 25,
    1, 1, 5, 9, 21, 1, 1, 3, 13, 27, 1, 3, 7, 11, 3, 1,
    3, 1, 13, 31, 47, 1, 3, 3, 5, 13, 17, 1, 1, 7, 3, 13,
    51, 1, 3, 3, 11, 7, 63, 1, 1, 1, 7, 3, 53, 1, 3, 5,
    11, 3, 43, 1, 1, 7, 5, 19, 59, 59, 1, 1, 7, 9, 15, 25,
    63, 1, 3, 7, 7, 27, 5, 17, 1, 3, 1, 5, 7, 51, 69, 1,
    3, 3, 11, 23, 5, 35, 1, 1, 5, 1, 3, 17, 59, 1, 3, 7,
    7, 3, 51, 57, 1, 3, 7, 11, 17, 1, 17, 1, 1, 1, 11, 25,
    45, 3, 1, 1, 5, 15, 23, 53, 79, 1, 3, 3, 3, 19, 31, 39,
    1, 1, 1, 9, 9, 21, 23, 1, 1, 3, 5, 31, 13, 97, 1, 1,
    1, 15, 9, 39, 3, 1, 3, 1, 1, 27, 55, 37, 1, 3, 7, 11,
    21, 49, 17, 1, 3, 3, 9, 31, 37, 95, 1, 1, 1, 1, 7, 35,
    95, 1, 1, 5, 15, 15, 61, 11, 211, 1, 1, 7, 7, 29, 33, 127,
    171, 1, 3, 5, 9, 17, 27, 85, 95, 1, 3, 7, 1, 25, 43, 35,
    21, 1, 3, 5, 15, 9, 17, 43, 253, 1, 1, 5, 11, 27, 45, 37,
    147, 1, 1, 7, 5, 7, 35, 29, 191, 1, 3, 1, 1, 15, 33, 21,
    125, 1, 1, 1, 7, 31, 41, 33, 11, 1, 1, 7, 7, 27, 9, 111,
    209, 1, 3, 7, 15, 1, 57, 63, 43, 1, 3, 3, 13, 1, 51, 5,
    51, 1, 3, 5, 3, 27, 17, 103, 247, 1, 3, 7, 7, 11, 27, 51,
    103, 1, 3, 3, 1, 23, 21, 65, 135, 1, 1, 7, 9, 1, 7, 71,
    251, 1, 3, 1, 5, 11, 31, 43, 129, 225, 1, 1, 1, 5, 15, 15,
    127, 225, 439, 1, 1, 3, 13, 27, 45, 103, 65, 313, 1, 3, 3, 15,
    13, 31, 27, 231, 183, 1, 1, 3, 7, 23, 5, 15, 75, 159, 1, 1,
    5, 15, 21, 3, 99, 23, 465, 1, 3, 7, 5, 23, 47, 119, 103, 271,
    1, 3, 1, 11, 25, 13, 83, 5, 21, 1, 3, 5, 3, 7, 41, 123,
    87, 243, 1, 1, 3, 11, 3, 7, 91, 227, 349, 1, 1, 1, 9, 29,
    23, 31, 175, 145, 1, 1, 7, 7, 13, 25, 67, 59, 109, 1, 3, 7,
    11, 25, 49, 23, 55, 135, 1, 3, 5, 7, 27, 61, 5, 193, 375, 1,
    1, 5, 9, 23, 27, 41, 239, 383, 1, 1, 3, 15, 3, 43, 81, 77,
    91, 1, 1, 1, 13, 29, 17, 23, 105, 393, 1, 3, 3, 3, 27, 41,
    89, 79, 295, 1, 3, 3, 5, 27, 63, 29, 189, 505, 1, 1, 3, 7,
    23, 63, 117, 75, 165, 1, 1, 5, 13, 1, 47, 123, 159, 485, 1, 3,
    5, 1, 23, 27, 125, 45, 351, 1, 3, 1, 5, 11, 33, 75, 17, 85,
    1, 3, 7, 9, 23, 31, 33, 91, 131, 1, 1, 3, 7, 23, 31, 89,
    243, 229, 1, 1, 7, 15, 3, 9, 97, 59, 159, 1, 3, 3, 9, 23,
    1, 105, 217, 491, 1, 3, 7, 13, 19, 3, 95, 149, 169, 1, 1, 5,
    11, 29, 57, 7, 69, 33, 1, 1, 7, 7, 23, 1, 17, 3, 325, 1,
    3, 1, 7, 23, 7, 49, 251, 501, 1, 1, 5, 9, 13, 59, 51, 15,
    231, 1, 1, 1, 7, 13, 43, 21, 227, 165, 1, 1, 5, 1, 17, 59,
    85, 13, 81, 1, 1, 5, 11, 25, 39, 109, 149, 89, 1, 3, 1, 13,
    3, 47, 85, 1, 241, 1, 1, 7, 7, 29, 25, 71, 13, 221, 1, 1,
    3, 5, 1, 3, 17, 241, 227, 1, 3, 1, 7, 3, 23, 127, 209, 139,
    1, 1, 3, 5, 31, 39, 55, 193, 27, 1, 3, 5, 3, 5, 19, 71,
    161, 255, 1, 3, 3, 7, 17, 27, 105, 13, 131, 1, 1, 3, 1, 23,
    7, 43, 171, 503, 1, 3, 5, 7, 7, 11, 9, 243, 173, 1, 1, 7,
    13, 23, 3, 119, 243, 189, 1, 1, 3, 11, 17, 55, 53, 159, 339, 1,
    3, 3, 11, 5, 17, 69, 103, 453, 1, 3, 7, 7, 9, 41, 31, 165,
    117, 1, 1, 5, 3, 5, 39, 79, 141, 205, 483, 1, 3, 1, 3, 3,
    59, 57, 189, 279, 769, 1, 1, 3, 13, 25, 21, 107, 61, 329, 695, 1,
    3, 5, 15, 3, 61, 71, 161, 55, 757, 1, 1, 1, 11, 9, 17, 121,
    41, 177, 261, 1, 1, 5, 3, 25, 49, 55, 119, 171, 213, 1, 3, 3,
    13, 21, 35, 73, 33, 43, 673, 1, 3, 5, 7, 25, 5, 7, 93, 485,
    635, 1, 1, 5, 1, 5, 55, 17, 33, 67, 553, 1, 1, 7, 1, 15,
    31, 67, 219, 241, 233, 1, 1, 3, 7, 9, 33, 77, 115, 401, 617, 1,
    1, 3, 3, 1, 11, 79, 49, 327, 287, 1, 3, 5, 15, 19, 49, 115,
    73, 193, 615, 1, 3, 5, 13, 15, 41, 17, 133, 369, 783, 1, 1, 7,
    13, 9, 15, 59, 43, 129, 337, 1, 1, 3, 11, 13, 41, 35, 111, 385,
    243, 1, 3, 5, 11, 7, 25, 79, 9, 5, 159, 1, 3, 3, 1, 7,
    17, 31, 3, 27, 829, 1, 3, 3, 15, 27, 33, 13, 29, 223, 545, 1,
    1, 5, 1, 7, 7, 31, 103, 307, 315, 1, 3, 7, 9, 15, 9, 61,
    75, 99, 173, 1, 3, 3, 15, 21, 31, 49, 45, 301, 593, 1, 3, 1,
    11, 3, 1, 37, 109, 413, 517, 1, 3, 1, 15, 1, 47, 45, 189, 331,
    3, 1, 3, 7, 5, 3, 47, 107, 141, 257, 189, 1, 1, 1, 11, 5,
    31, 49, 35, 139, 895, 1, 3, 3, 7, 17, 23, 47, 229, 225, 393, 1,
    1, 1, 11, 17, 39, 125, 223, 251, 95, 1, 3, 7, 9, 31, 1, 29,
    81, 301, 309, 1, 1, 1, 5, 29, 3, 5, 7, 481, 989, 1, 1, 1,
    5, 19, 29, 103, 103, 385, 541, 1, 3, 7, 13, 31, 53, 27, 51, 305,
    345, 1, 3, 5, 5, 19, 51, 41, 15, 31, 761, 1, 1, 5, 3, 25,
    21, 93, 205, 129, 179, 1, 3, 7, 11, 5, 31, 29, 143, 103, 227, 1,
    3, 1, 11, 29, 47, 97, 217, 13, 897, 1, 1, 3, 13, 15, 39, 85,
    181, 471, 853, 1, 3, 1, 11, 11, 21, 5, 233, 415, 897, 1, 1, 5,
    7, 3, 19, 103, 27, 353, 775, 1, 3, 3, 1, 21, 57, 123, 27, 61,
    719, 1, 1, 3, 13, 5, 57, 87, 77, 301, 633, 1, 3, 7, 5, 21,
    59, 19, 177, 147, 357, 1, 1, 5, 1, 5, 57, 43, 249, 475, 189, 1,
    3, 7, 9, 15, 49, 29, 75, 75, 839, 1, 1, 3, 7, 23, 47, 17,
    83, 275, 917, 1, 3, 7, 1, 23, 17, 35, 237, 357, 363, 1, 1, 3,
    1, 17, 35, 85, 215, 405, 469, 1, 3, 1, 9, 21, 21, 103, 205, 79,
    431, 1, 1, 3, 1, 7, 13, 127, 233, 93, 215, 1, 3, 1, 11, 13,
    19, 87, 219, 49, 133, 1, 3, 7, 3, 27, 51, 125, 235, 159, 981, 1,
    1, 3, 7, 29, 37, 3, 189, 419, 329, 1, 1, 5, 13, 9, 61, 125,
    29, 111, 751, 1, 1, 3, 5, 5, 43, 59, 15, 445, 803, 1, 1, 7,
    15, 25, 55, 37, 231, 287, 97, 1, 1, 1, 1, 13, 5, 97, 25, 53,
    579, 1, 3, 5, 13, 27, 63, 17, 197, 285, 741, 1, 1, 5, 3, 7,
    31, 13, 167, 235, 965, 1, 3, 5, 7, 3, 35, 97, 131, 89, 313, 1,
    1, 3, 13, 23, 3, 91, 155, 249, 829, 1, 3, 7, 13, 1, 41, 51,
    233, 233, 163, 1357, 1, 3, 1, 3, 13, 3, 55, 9, 511, 441, 811, 1,
    3, 5, 5, 11, 57, 45, 65, 397, 199, 1195, 1, 3, 5, 11, 11, 15,
    95, 163, 319, 727, 1793, 1, 1, 5, 7, 31, 47, 49, 177, 229, 719, 241,
    1, 3, 1, 13, 9, 25, 69, 67, 151, 369, 1205, 1, 1, 7, 3, 9,
    39, 99, 109, 111, 787, 181, 1, 1, 3, 11, 23, 1, 49, 111, 45, 293,
    1603, 1, 1, 1, 3, 5, 45, 11, 197, 357, 109, 1291, 1, 3, 5, 11,
    5, 25, 91, 91, 339, 559, 311, 1, 3, 3, 3, 21, 37, 69, 129, 205,
    333, 165, 1, 1, 1, 15, 9, 19, 115, 153, 23, 381, 1727, 1, 1, 3,
    1, 3, 35, 77, 217, 133, 943, 169, 1, 1, 5, 9, 1, 39, 67, 217,
    143, 529, 769, 1, 1, 3, 3, 9, 9, 9, 203, 425, 601, 1389, 1, 3,
    7, 3, 15, 19, 109, 31, 417, 127, 1109, 1, 3, 1, 15, 1, 37, 75,
    199, 419, 917, 1929, 1, 3, 3, 9, 21, 37, 23, 165, 67, 39, 1685, 1,
    3, 3, 7, 3, 25, 75, 67, 451, 889, 1015, 1, 3, 1, 1, 27, 37,
    39, 7, 411, 391, 463, 1, 1, 7, 15, 25, 19, 55, 131, 245, 887, 971,
    1, 3, 1, 9, 19, 9, 9, 31, 143, 647, 39, 1, 3, 7, 1, 27,
    7, 107, 179, 327, 947, 953, 1, 3, 7, 13, 23, 31, 65, 29, 157, 67,
    2009, 1, 3, 5, 13, 19, 31, 19, 249, 385, 209, 281, 1, 1, 7, 15,
    3, 63, 1, 97, 349, 1007, 1463, 1, 3, 3, 11, 25, 3, 21, 195, 213,
    1013, 637, 1, 3, 1, 1, 27, 7, 95, 215, 473, 1023, 231, 1, 3, 3,
    11, 15, 15, 45, 55, 63, 693, 845, 1, 1, 3, 1, 27, 3, 63, 139,
    139, 729, 861, 1, 1, 5, 3, 31, 37, 125, 175, 311, 951, 1745, 1, 1,
    1, 11, 1, 19, 7, 203, 301, 403, 1293, 1, 3, 1, 5, 13, 39, 27,
    155, 27, 725, 993, 1, 3, 5, 1, 5, 57, 19, 225, 407, 713, 1687, 1,
    1, 1, 1, 29, 23, 83, 191, 469, 105, 311, 1, 1, 1, 11, 5, 17,
    111, 5, 395, 183, 1167, 1, 3, 1, 9, 1, 41, 3, 49, 253, 735, 693,
    1, 1, 5, 3, 21, 11, 43, 33, 225, 291, 1581, 1, 1, 1, 1, 5,
    29, 43, 85, 465, 879, 1161, 1, 3, 1, 7, 11, 43, 61, 41, 287, 655,
    1417, 1, 3, 1, 15, 21, 13, 85, 69, 353, 1005, 1109, 1, 1, 7, 1,
    3, 29, 115, 227, 473, 877, 443, 1, 3, 3, 13, 13, 57, 95, 91, 473,
    667, 1551, 1, 3, 3, 3, 13, 5, 45, 219, 371, 843, 95, 1, 3, 7,
    1, 17, 45, 93, 63, 235, 37, 1081, 1, 3, 3, 1, 17, 21, 5, 91,
    433, 321, 645, 1, 1, 7, 11, 9, 5, 33, 189, 205, 51, 259, 1, 1,
    7, 3, 17, 9, 11, 235, 477, 419, 721, 1, 1, 1, 15, 21, 49, 25,
    103, 25, 273, 1159, 1, 1, 1, 15, 29, 7, 97, 47, 219, 979, 961, 1,
    1, 7, 13, 3, 9, 103, 179, 471, 841, 1265, 1, 1, 7, 15, 11, 33,
    57, 181, 125, 307, 535, 1, 1, 7, 15, 21, 27, 15, 65, 235, 45, 1169,
    1, 3, 1, 5, 9, 59, 123, 25, 391, 253, 1801, 1, 3, 1, 1, 13,
    17, 85, 207, 417, 179, 951, 1, 1, 1, 15, 27, 13, 51, 169, 351, 351,
    1255, 1, 3, 7, 13, 21, 63, 93, 27, 277, 999, 1381, 1, 1, 5, 9,
    21, 11, 99, 199, 281, 281, 373, 1, 1, 5, 1, 1, 41, 17, 43, 411,
    315, 1953, 1, 1, 5, 11, 25, 49, 7, 61, 359, 989, 1165, 1, 1, 5,
    1, 21, 23, 77, 51, 501, 579, 1969, 1, 3, 7, 3, 15, 43, 89, 107,
    331, 723, 771, 1, 1, 3, 15, 3, 57, 41, 241, 183, 579, 1577, 1, 3,
    7, 3, 29, 31, 31, 121, 87, 1009, 235, 1, 3, 3, 1, 25, 11, 67,
    33, 275, 297, 1143, 1, 1, 7, 13, 17, 29, 99, 39, 111, 29, 881, 1,
    1, 7, 1, 7, 25, 27, 107, 169, 77, 1037, 1, 3, 1, 15, 17, 59,
    105, 87, 295, 253, 1847, 1, 1, 7, 11, 25, 57, 75, 129, 379, 95, 381,
    1, 1, 7, 11, 19, 51, 69, 23, 443, 89, 1245, 1, 3, 7, 15, 3,
    43, 71, 173, 435, 125, 1039, 1, 1, 1, 13, 27, 37, 101, 97, 201, 187,
    243, 1, 1, 3, 15, 13, 37, 11, 81, 233, 701, 1629, 1, 1, 3, 11,
    21, 43, 37, 233, 129, 281, 511, 1, 3, 7, 3, 17, 7, 89, 19, 59,
    339, 337, 1, 3, 7, 13, 27, 31, 97, 197, 485, 367, 1169, 1, 1, 7,
    13, 9, 5, 93, 93, 289, 79, 57, 1, 3, 5, 13, 23, 61, 99, 201,
    115, 583, 1271, 1, 3, 3, 15, 9, 55, 1, 197, 149, 919, 805, 1, 1,
    1, 5, 29, 43, 119, 55, 397, 973, 1843, 1, 3, 1, 1, 5, 55, 99,
    223, 323, 543, 1851, 1, 1, 1, 15, 1, 31, 17, 107, 303, 675, 1093, 1,
    1, 5, 11, 9, 19, 61, 123, 411, 65, 317, 1, 3, 5, 5, 9, 15,
    35, 181, 467, 289, 85, 1, 1, 1, 13, 19, 59, 75, 167, 507, 249, 259,
    1, 3, 5, 3, 13, 7, 53, 87, 97, 667, 1493, 1, 1, 7, 1, 17,
    35, 109, 21, 437, 225, 155, 1, 3, 7, 11, 3, 25, 51, 29, 499, 987,
    223, 1, 1, 7, 7, 23, 57, 13, 23, 335, 627, 887, 1, 1, 7, 3,
    15, 45, 89, 217, 393, 235, 969, 1, 3, 3, 7, 19, 47, 1, 193, 229,
    45, 1617, 1, 3, 1, 9, 29, 63, 15, 57, 509, 147, 323, 1, 3, 5,
    9, 9, 33, 77, 83, 109, 335, 481, 1, 1, 3, 1, 7, 47, 69, 3,
    23, 243, 1787, 1, 3, 7, 7, 7, 13, 77, 211, 349, 383, 1793, 1, 1,
    5, 11, 9, 9, 1, 173, 263, 965, 993, 1, 3, 3, 1, 11, 57, 85,
    1, 293, 921, 1711, 1, 3, 3, 13, 29, 25, 13, 143, 373, 575, 1985, 1,
    3, 1, 13, 1, 9, 71, 135, 117, 989, 1331, 1, 3, 3, 13, 29, 21,
    47, 225, 199, 107, 117, 1, 1, 7, 13, 25, 5, 57, 135, 397, 411, 1275,
    1, 1, 3, 1, 11, 19, 39, 9, 165, 813, 871, 1, 3, 1, 11, 29,
    1, 71, 35, 361, 331, 773, 1, 1, 3, 9, 23, 23, 73, 7, 505, 183,
    563, 1, 3, 5, 9, 25, 35, 123, 111, 221, 1, 873, 1, 1, 3, 3,
    15, 43, 53, 71, 339, 321, 1973, 1, 1, 5, 13, 13, 57, 27, 151, 337,
    739, 1205, 1, 3, 5, 13, 23, 3, 111, 101, 37, 523, 659, 1, 3, 5,
    13, 23, 53, 53, 91, 505, 779, 759, 1, 1, 5, 7, 21, 43, 91, 213,
    163, 29, 137, 1, 1, 1, 3, 21, 37, 97, 241, 77, 169, 1255, 1, 3,
    3, 1, 5, 31, 119, 127, 137, 915, 1705, 1, 3, 3, 13, 5, 47, 117,
    171, 67, 285, 225, 1, 1, 7, 9, 3, 35, 25, 25, 147, 537, 1703, 1,
    3, 5, 3, 27, 41, 57, 71, 383, 763, 431, 1, 3, 3, 1, 17, 9,
    105, 119, 243, 459, 881, 1, 3, 5, 15, 13, 45, 49, 41, 117, 473, 1701,
    1, 1, 3, 11, 13, 5, 77, 17, 11, 1019, 353, 1, 3, 1, 11, 31,
    35, 87, 195, 371, 169, 1075, 1, 3, 5, 1, 1, 1, 65, 177, 35, 497,
    103, 1, 1, 3, 1, 31, 21, 77, 153, 139, 663, 443, 1, 1, 1, 1,
    31, 25, 21, 87, 345, 13, 301, 1, 1, 1, 7, 7, 1, 95, 5, 429,
    551, 1011, 1, 3, 5, 15, 23, 63, 119, 185, 463, 371, 567, 1, 1, 5,
    5, 21, 21, 33, 141, 181, 885, 717, 1, 1, 1, 5, 11, 35, 37, 231,
    67, 951, 1721, 1, 3, 7, 9, 13, 29, 113, 55, 27, 625, 285, 1, 1,
    7, 5, 19, 45, 5, 233, 133, 401, 99, 1, 1, 5, 1, 7, 49, 127,
    173, 187, 513, 171, 1, 1, 7, 3, 17, 59, 51, 81, 197, 1021, 763, 1,
    1, 3, 1, 9, 51, 31, 149, 397, 929, 81, 1, 1, 7, 9, 29, 29,
    21, 191, 107, 9, 807, 1, 1, 5, 3, 15, 3, 125, 105, 225, 571, 33,
    1, 1, 5, 15, 31, 61, 113, 7, 59, 829, 1259, 1, 3, 1, 5, 29,
    27, 33, 145, 211, 837, 749, 1, 1, 1, 1, 27, 15, 25, 197, 51, 71,
    813, 1, 1, 1, 3, 27, 59, 1, 163, 467, 991, 1489, 1, 3, 3, 13,
    1, 27, 105, 225, 403, 803, 409, 1, 1, 5, 3, 7, 31, 99, 55, 275,
    487, 983, 1, 1, 1, 5, 27, 63, 107, 161, 491, 887, 825, 1, 1, 5,
    15, 15, 19, 87, 165, 55, 477, 1641, 1, 3, 5, 7, 21, 49, 105, 151,
    251, 385, 1265, 1, 1, 5, 3, 5, 43, 47, 213, 387, 523, 1547, 1, 3,
    1, 11, 15, 55, 93, 167, 377, 201, 1031, 1, 1, 7, 7, 9, 27, 35,
    251, 425, 27, 1527, 1, 1, 7, 7, 15, 55, 123, 21, 53, 77, 345, 1,
    1, 5, 15, 13, 11, 75, 101, 75, 217, 219, 1, 1, 3, 9, 1, 29,
    117, 209, 301, 803, 1487, 1, 3, 5, 3, 31, 57, 63, 171, 59, 591, 1323,
    1, 3, 7, 11, 19, 27, 111, 87, 439, 1023, 691, 1, 3, 7, 13, 15,
    57, 11, 249, 383, 291, 1221, 1, 1, 3, 13, 23, 43, 31, 75, 293, 701,
    1065, 1, 1, 5, 5, 9, 53, 115, 235, 389, 907, 1883, 1, 1, 1, 11,
    17, 31, 111, 187, 483, 323, 307, 1, 1, 3, 1, 23, 33, 25, 27, 267,
    231, 467, 1, 3, 1, 1, 29, 15, 1, 151, 369, 943, 1293, 1, 1, 1,
    15, 31, 9, 1, 223, 7, 99, 1725, 1, 1, 1, 1, 13, 3, 103, 177,
    61, 939, 1321, 1, 3, 3, 7, 29, 45, 63, 119, 467, 1011, 1687, 1, 3,
    5, 13, 13, 51, 69, 113, 231, 807, 863, 1, 1, 1, 13, 13, 57, 121,
    219, 77, 959, 1883, 1, 1, 3, 13, 25, 19, 83, 139, 31, 3, 367, 1,
    3, 7, 13, 19, 49, 45, 47, 197, 253, 1769, 1, 3, 1, 5, 13, 59,
    65, 23, 31, 127, 1693, 1, 1, 7, 5, 15, 33, 85, 59, 483, 87, 1109,
    1, 1, 1, 13, 29, 39, 87, 109, 223, 927, 723, 1, 1, 7, 11, 29,
    19, 13, 73, 479, 989, 767, 1, 3, 1, 15, 27, 33, 119, 237, 117, 181,
    1719, 1, 1, 7, 9, 1, 55, 115, 91, 355, 21, 531, 1, 1, 5, 7,
    29, 23, 41, 227, 455, 587, 523, 1, 3, 5, 9, 31, 21, 105, 139, 69,
    907, 1195, 1, 1, 1, 13, 11, 63, 33, 161, 133, 493, 1055, 1, 1, 7,
    15, 19, 37, 37, 145, 321, 781, 575, 1, 1, 5, 5, 29, 17, 109, 193,
    271, 831, 915, 1, 3, 3, 11, 17, 63, 57, 245, 347, 647, 321, 1, 3,
    5, 7, 15, 15, 45, 11, 383, 231, 267, 1, 3, 5, 13, 15, 45, 67,
    135, 135, 247, 1261, 205, 1, 1, 7, 5, 13, 37, 63, 179, 43, 679, 1127,
    779, 1, 3, 7, 15, 7, 11, 105, 207, 93, 127, 907, 3931, 1, 3, 7,
    3, 29, 45, 53, 91, 97, 175, 1847, 1119, 1, 3, 7, 13, 29, 25, 49,
    245, 39, 651, 1353, 481, 1, 1, 5, 13, 13, 49, 119, 85, 101, 361, 1163,
    2693, 1, 1, 7, 11, 3, 13, 23, 95, 169, 1005, 1911, 849, 1, 3, 7,
    15, 1, 25, 45, 111, 3, 683, 1383, 1387, 1, 3, 1, 3, 19, 37, 97,
    183, 27, 971, 853, 255, 1, 3, 5, 7, 7, 61, 19, 163, 161, 921, 1561,
    841, 1, 1, 3, 7, 3, 17, 43, 185, 231, 513, 1499, 695, 1, 3, 1,
    13, 27, 17, 123, 155, 13, 873, 21, 1687, 1, 1, 5, 11, 7, 15, 83,
    103, 489, 529, 1331, 3783, 1, 1, 7, 13, 11, 45, 11, 105, 341, 39, 1697,
    2701, 1, 1, 1, 15, 1, 37, 119, 179, 471, 343, 927, 2469, 1, 1, 3,
    9, 29, 57, 59, 133, 309, 587, 1775, 1811, 1, 1, 5, 15, 7, 51, 25,
    151, 173, 961, 1449, 2215, 1, 3, 1, 5, 21, 49, 113, 199, 433, 563, 849,
    2741, 1, 3, 7, 9, 19, 7, 3, 95, 259, 919, 1939, 2747, 1, 3, 5,
    1, 19, 35, 83, 95, 359, 85, 677, 805, 1, 3, 1, 9, 19, 37, 63,
    43, 251, 301, 1217, 3361, 1, 1, 3, 7, 5, 33, 45, 15, 191, 49, 1511,
    157, 1, 3, 3, 3, 7, 3, 1, 241, 239, 229, 103, 215, 1, 3, 3,
    3, 29, 27, 31, 61, 331, 847, 1699, 923, 1, 3, 1, 5, 11, 15, 81,
    97, 411, 471, 1521, 73, 1, 1, 7, 7, 7, 17, 95, 245, 415, 31, 259,
    1835, 1, 1, 1, 1, 23, 55, 27, 201, 21, 651, 1965, 1723, 1, 1, 7,
    11, 19, 43, 33, 7, 1, 635, 1651, 1041, 1, 1, 1, 15, 29, 11, 31,
    11, 29, 935, 715, 1115, 1, 1, 3, 3, 23, 51, 115, 55, 45, 135, 913,
    3181, 1, 3, 7, 5, 15, 23, 39, 145, 51, 243, 1705, 3889, 1, 1, 7,
    5, 27, 43, 63, 15, 365, 299, 1413, 1553, 1, 3, 1, 1, 19, 41, 123,
    123, 331, 487, 2033, 1849, 1, 3, 5, 13, 21, 27, 91, 225, 387, 529, 1529,
    1855, 1, 3, 5, 13, 23, 51, 27, 213, 55, 619, 773, 2037, 1, 3, 3,
    1, 11, 9, 125, 205, 255, 813, 925, 2031, 1, 3, 5, 9, 23, 45, 43,
    197, 475, 487, 79, 3649, 1, 1, 1, 1, 5, 53, 97, 243, 433, 75, 467,
    1213, 1, 1, 5, 7, 5, 53, 15, 91, 405, 791, 1293, 1517, 1, 1, 1,
    3, 17, 27, 19, 81, 227, 935, 1511, 3709, 1, 1, 5, 11, 17, 41, 125,
    131, 295, 867, 1291, 2833, 1, 3, 7, 13, 3, 11, 63, 159, 341, 143, 1779,
    1441, 1, 1, 7, 3, 29, 3, 103, 7, 145, 589, 723, 663, 1, 1, 7,
    15, 5, 25, 105, 129, 277, 163, 349, 219, 1, 3, 1, 9, 21, 27, 127,
    167, 285, 135, 1493, 3825, 1, 3, 1, 1, 7, 41, 95, 255, 273, 75, 383,
    15, 1, 3, 5, 7, 21, 19, 67, 19, 465, 899, 1515, 425, 1, 1, 5,
    15, 17, 45, 31, 227, 229, 271, 1169, 3915, 1, 3, 7, 11, 7, 23, 117,
    195, 435, 171, 777, 3473, 1, 1, 3, 3, 27, 7, 99, 11, 361, 129, 717,
    1241, 1, 1, 5, 9, 27, 1, 11, 115, 15, 561, 1989, 3857, 1, 1, 1,
    5, 29, 55, 23, 83, 45, 427, 987, 3627, 1, 1, 1, 9, 5, 59, 119,
    77, 297, 129, 1675, 2621, 1, 1, 5, 11, 27, 49, 69, 115, 453, 863, 811,
    535, 1, 1, 5, 9, 21, 43, 109, 207, 5, 987, 1747, 47, 1, 3, 5,
    5, 27, 31, 67, 133, 153, 137, 1167, 325, 1, 1, 3, 15, 9, 7, 51,
    221, 317, 917, 1589, 1701, 1, 1, 3, 11, 7, 21, 3, 235, 237, 853, 1883,
    2733, 1, 3, 7, 1, 9, 59, 69, 71, 191, 507, 1387, 2643, 1, 1, 1,
    7, 13, 17, 59, 115, 401, 373, 431, 2895, 1, 3, 7, 7, 31, 23, 51,
    173, 425, 823, 1375, 1675, 1, 3, 1, 13, 1, 57, 57, 203, 275, 825, 969,
    1357, 1, 3, 1, 1, 31, 39, 125, 49, 11, 255, 373, 805, 1, 3, 7,
    1, 7, 59, 43, 143, 447, 73, 1979, 3401, 1, 3, 7, 15, 29, 31, 11,
    49, 241, 157, 1147, 1049, 1, 1, 3, 11, 19, 39, 41, 145, 219, 811, 425,
    3561, 1, 1, 3, 13, 23, 49, 123, 3, 423, 661, 329, 3883, 1, 3, 1,
    15, 21, 21, 5, 105, 19, 171, 1187, 1451, 1, 1, 7, 3, 27, 7, 31,
    25, 339, 107, 827, 2813, 1, 1, 3, 3, 7, 9, 5, 241, 419, 19, 303,
    1327, 1, 3, 3, 5, 1, 17, 105, 143, 345, 953, 857, 2241, 1, 3, 7,
    5, 11, 63, 39, 49, 3, 601, 1491, 3095, 1, 1, 5, 1, 27, 35, 25,
    231, 265, 27, 83, 511, 1, 3, 5, 3, 29, 1, 119, 39, 81, 551, 1709,
    2105, 1, 3, 1, 5, 29, 31, 99, 93, 391, 691, 411, 637, 1, 3, 5,
    1, 21, 53, 81, 171, 303, 987, 1235, 1559, 1, 3, 3, 5, 7, 63, 51,
    89, 257, 489, 275, 2309, 1, 3, 1, 5, 5, 33, 25, 55, 241, 259, 1213,
    2409, 1, 3, 7, 3, 11, 57, 85, 209, 329, 611, 45, 1183, 1, 3, 3,
    15, 3, 15, 31, 27, 363, 291, 1063, 229, 1, 3, 1, 1, 1, 3, 47,
    189, 287, 337, 879, 1881, 1, 1, 3, 5, 9, 11, 65, 237, 499, 431, 1677,
    2503, 1, 3, 1, 15, 3, 17, 101, 23, 367, 643, 1485, 1625, 1, 3, 3,
    13, 9, 3, 87, 11, 137, 835, 1095, 891, 1, 1, 5, 7, 15, 3, 49,
    253, 29, 159, 315, 2133, 1, 1, 3, 15, 11, 11, 17, 37, 287, 35, 813,
    2715, 1, 1, 1, 9, 3, 51, 57, 205, 385, 157, 811, 627, 1, 3, 7,
    15, 13, 33, 65, 117, 339, 805, 19, 3775, 1, 3, 5, 5, 9, 5, 25,
    177, 469, 599, 1527, 3799, 1, 1, 3, 9, 1, 45, 65, 69, 121, 263, 1355,
    1205, 1, 1, 3, 3, 3, 33, 121, 163, 95, 137, 1393, 4017, 1, 3, 7,
    7, 19, 27, 17, 239, 253, 305, 1929, 1725, 1, 3, 5, 7, 5, 19, 115,
    95, 93, 87, 1379, 3295, 1, 3, 3, 3, 5, 51, 7, 171, 153, 329, 1627,
    3503, 1, 1, 5, 9, 27, 15, 91, 99, 433, 689, 1551, 1827, 1, 3, 3,
    11, 17, 35, 29, 203, 171, 513, 771, 2011, 1, 3, 5, 11, 29, 57, 69,
    239, 87, 477, 187, 4079, 1, 1, 1, 11, 9, 25, 37, 41, 113, 339, 1347,
    3475, 1, 3, 1, 15, 17, 17, 53, 17, 327, 123, 915, 655, 1, 1, 5,
    13, 29, 3, 85, 173, 139, 51, 929, 3407, 1, 3, 5, 3, 25, 13, 19,
    91, 285, 309, 105, 2331, 1, 3, 7, 7, 13, 23, 103, 7, 435, 571, 731,
    431, 1, 1, 3, 11, 23, 3, 29, 25, 369, 941, 2031, 2311, 1, 3, 5,
    3, 11, 49, 69, 61, 267, 241, 1221, 1533, 1, 3, 3, 5, 17, 43, 27,
    191, 201, 653, 933, 2571, 1, 1, 1, 13, 1, 7, 117, 179, 61, 1003, 379,
    2359, 1, 3, 5, 15, 9, 53, 23, 217, 237, 647, 377, 677, 1, 1, 1,
    1, 15, 55, 73, 1, 119, 679, 203, 309, 1, 1, 5, 15, 11, 13, 15,
    211, 105, 655, 739, 1439, 1, 3, 5, 5, 9, 41, 87, 237, 65, 837, 1127,
    2539, 1, 1, 3, 9, 3, 57, 23, 55, 359, 909, 969, 1437, 1, 1, 1,
    9, 23, 57, 23, 127, 139, 961, 1985, 2785, 1, 3, 7, 1, 31, 7, 65,
    215, 305, 245, 971, 139, 1, 3, 3, 11, 3, 3, 29, 173, 189, 807, 219,
    2807, 1, 3, 5, 7, 25, 39, 7, 157, 397, 773, 461, 3051, 1, 3, 7,
    7, 9, 7, 33, 19, 127, 177, 189, 1247, 1, 3, 5, 3, 5, 13, 77,
    219, 339, 969, 1193, 2545, 1, 3, 3, 13, 29, 45, 123, 9, 335, 985, 1923,
    2449, 1, 3, 1, 9, 7, 43, 29, 83, 153, 381, 1849, 2563, 1, 3, 3,
    1, 29, 31, 107, 151, 171, 137, 1749, 1541, 1, 3, 7, 1, 13, 53, 27,
    119, 295, 879, 1113, 1293, 1, 1, 7, 9, 19, 25, 127, 215, 271, 521, 1093,
    1595, 1, 1, 5, 11, 11, 9, 35, 55, 447, 513, 1415, 2427, 1, 3, 1,
    5, 19, 19, 19, 111, 73, 895, 1879, 3679, 1, 1, 7, 13, 13, 55, 65,
    131, 461, 775, 1817, 1795, 1, 3, 7, 9, 31, 41, 119, 75, 419, 319, 1463,
    3491, 1, 1, 7, 7, 27, 33, 71, 223, 381, 181, 541, 1695, 1, 3, 7,
    5, 29, 53, 109, 109, 35, 607, 559, 4045, 1, 3, 1, 13, 11, 9, 9,
    91, 85, 41, 1155, 3989, 1, 1, 3, 15, 23, 13, 3, 243, 443, 671, 1461,
    3329, 1, 1, 1, 1, 27, 25, 37, 153, 299, 51, 371, 1269, 1, 3, 7,
    11, 13, 51, 85, 177, 489, 867, 779, 3423, 1, 1, 7, 1, 25, 51, 105,
    117, 105, 743, 67, 2889, 1, 1, 3, 3, 29, 31, 65, 11, 87, 647, 193,
    1229, 1, 3, 5, 9, 19, 19, 19, 193, 441, 947, 1385, 1321, 1, 1, 1,
    9, 9, 31, 109, 77, 449, 775, 187, 2609, 1, 1, 1, 13, 31, 57, 121,
    251, 9, 673, 473, 755, 1, 3, 3, 7, 25, 21, 93, 183, 277, 167, 1305,
    897, 1, 1, 5, 5, 29, 15, 29, 67, 193, 525, 851, 2287, 1, 1, 5,
    9, 7, 53, 117, 203, 89, 221, 235, 2783, 1, 3, 5, 13, 7, 25, 69,
    25, 329, 151, 1721, 1279, 1, 1, 1, 7, 15, 9, 119, 75, 95, 297, 1149,
    1385, 1, 3, 3, 15, 23, 1, 109, 81, 249, 189, 737, 1809, 1, 1, 7,
    5, 29, 53, 77, 79, 339, 625, 1131, 2539, 1, 1, 7, 15, 23, 35, 39,
    25, 287, 321, 151, 193, 6637, 1, 3, 5, 9, 15, 31, 31, 111, 393, 97,
    407, 1087, 1413, 1, 1, 1, 13, 21, 63, 71, 193, 443, 541, 1989, 2979, 7087,
    1, 3, 3, 1, 11, 41, 19, 219, 497, 273, 1293, 2233, 2967, 1, 1, 5,
    7, 23, 15, 119, 245, 223, 773, 1261, 1623, 8067, 1, 1, 1, 15, 3, 39,
    39, 11, 141, 347, 1473, 3503, 3595, 1, 1, 1, 5, 27, 15, 81, 159, 279,
    907, 143, 3195, 7127, 1, 1, 1, 9, 27, 29, 109, 29, 147, 255, 1851, 677,
    2883, 1, 1, 5, 1, 1, 23, 3, 107, 9, 757, 319, 949, 3887, 1, 1,
    7, 1, 13, 41, 21, 9, 53, 179, 1273, 17, 5195, 1, 3, 3, 15, 9,
    41, 121, 13, 245, 415, 2041, 3813, 6807, 1, 3, 5, 13, 7, 5, 43, 137,
    191, 855, 735, 3711, 2459, 1, 3, 3, 13, 15, 53, 13, 245, 217, 159, 271,
    261, 7383, 1, 3, 1, 9, 1, 39, 79, 73, 349, 367, 51, 155, 53, 1,
    1, 7, 5, 11, 19, 99, 131, 217, 729, 1481, 4015, 6109, 1, 3, 1, 3,
    9, 7, 55, 119, 285, 803, 427, 3755, 3153, 1, 1, 7, 13, 25, 3, 111,
    51, 1, 995, 657, 1551, 3633, 1, 3, 3, 1, 29, 49, 15, 219, 295, 335,
    191, 611, 1151, 1, 3, 3, 3, 5, 37, 115, 199, 143, 11, 1487, 3841, 4669,
    1, 1, 3, 5, 23, 33, 67, 51, 433, 351, 1467, 2935, 4135, 1, 3, 3,
    15, 3, 57, 55, 7, 487, 983, 1481, 799, 6141, 1, 3, 5, 3, 23, 1,
    37, 117, 131, 55, 449, 637, 693, 1, 3, 1, 9, 11, 7, 43, 149, 463,
    349, 1773, 643, 765, 1, 3, 1, 1, 25, 39, 1, 33, 209, 131, 157, 2695,
    623, 1, 1, 1, 7, 15, 41, 105, 51, 465, 453, 1091, 905, 4831, 1, 3,
    7, 9, 1, 39, 45, 117, 481, 481, 87, 1869, 7063, 1, 1, 7, 1, 27,
    1, 87, 75, 295, 287, 163, 911, 1725, 1, 3, 3, 9, 31, 61, 75, 53,
    63, 179, 1941, 555, 1303, 1, 3, 3, 9, 31, 37, 9, 51, 381, 639, 595,
    731, 7531, 1, 3, 1, 1, 3, 25, 59, 19, 187, 235, 173, 893, 4845, 1,
    1, 7, 7, 1, 23, 9, 9, 493, 643, 53, 179, 6993, 1, 1, 1, 1,
    25, 55, 81, 63, 67, 967, 957, 1025, 8033, 1, 3, 1, 7, 5, 43, 67,
    127, 103, 241, 77, 43, 5173, 1, 1, 3, 7, 9, 25, 17, 231, 315, 699,
    787, 591, 7257, 1, 3, 1, 15, 21, 19, 7, 179, 335, 701, 323, 121, 4733,
    1, 1, 3, 7, 11, 59, 75, 147, 391, 535, 1841, 3025, 5621, 1, 1, 3,
    7, 21, 25, 101, 71, 195, 495, 1241, 2229, 2865, 1, 3, 1, 5, 19, 55,
    93, 41, 287, 787, 929, 3161, 4247, 1, 3, 3, 11, 25, 31, 79, 225, 189,
    187, 595, 465, 7169, 1, 1, 3, 13, 25, 37, 7, 87, 511, 451, 1681, 1911,
    5269, 1, 3, 3, 13, 21, 31, 117, 73, 391, 127, 1201, 189, 6621, 1, 3,
    1, 7, 9, 49, 77, 91, 197, 889, 119, 1335, 4833, 1, 1, 7, 3, 11,
    61, 103, 19, 345, 937, 1393, 963, 2283, 1, 1, 1, 9, 3, 3, 113, 189,
    383, 727, 781, 3515, 5045, 1, 1, 7, 15, 27, 45, 65, 137, 5, 185, 1561,
    2063, 761, 1, 1, 3, 9, 17, 5, 71, 209, 387, 693, 773, 2105, 1265, 1,
    1, 3, 11, 9, 49, 53, 53, 7, 5, 543, 1605, 265, 1, 3, 3, 3,
    23, 21, 27, 187, 495, 101, 517, 853, 2801, 1, 3, 5, 1, 7, 61, 47,
    113, 375, 307, 255, 3341, 3663, 1, 1, 1, 1, 19, 9, 33, 235, 413, 999,
    1889, 3633, 745, 1, 1, 1, 7, 27, 27, 19, 57, 1, 639, 831, 3481, 395,
    1, 3, 3, 5, 19, 55, 27, 215, 319, 855, 1597, 1539, 4359, 1, 3, 7,
    11, 3, 35, 5, 3, 341, 795, 315, 935, 2417, 1, 1, 1, 3, 25, 55,
    53, 143, 361, 203, 863, 2491, 4701, 1, 1, 5, 9, 19, 9, 29, 153, 387,
    373, 647, 2825, 1391, 1, 1, 3, 9, 1, 37, 103, 17, 347, 577, 181, 2863,
    6525, 1, 1, 1, 3, 17, 19, 41, 61, 49, 75, 1243, 33, 7725, 1, 3,
    1, 9, 7, 23, 107, 227, 225, 139, 451, 1303, 5657, 1, 3, 5, 11, 27,
    37, 95, 195, 261, 827, 817, 2555, 8189, 1, 3, 1, 11, 13, 17, 73, 113,
    287, 73, 977, 2815, 4281, 1, 1, 5, 7, 23, 7, 103, 41, 237, 745, 1645,
    2041, 6063, 1, 1, 3, 15, 17, 1, 63, 115, 303, 175, 1511, 3027, 1265, 1,
    3, 5, 3, 29, 57, 1, 51, 127, 539, 1171, 3567, 6409, 1, 1, 1, 9,
    29, 63, 85, 127, 375, 453, 539, 563, 5709, 1, 1, 1, 7, 29, 31, 109,
    159, 15, 621, 1593, 3793, 4503, 1, 1, 3, 3, 17, 27, 59, 9, 263, 705,
    909, 643, 4967, 1, 3, 5, 7, 23, 13, 37, 179, 439, 77, 1055, 3129, 371,
    1, 3, 1, 11, 25, 1, 123, 109, 27, 393, 1729, 3597, 5197, 1, 3, 5,
    11, 15, 9, 25, 19, 1, 927, 39, 925, 87, 1, 3, 5, 1, 9, 7,
    85, 95, 497, 487, 311, 2109, 259, 1, 3, 5, 1, 5, 59, 75, 243, 179,
    975, 187, 415, 1161, 1, 3, 3, 13, 11, 61, 109, 129, 71, 917, 523, 1189,
    4857, 1, 3, 1, 1, 3, 57, 15, 79, 265, 839, 559, 729, 2737, 1, 1,
    7, 9, 21, 45, 69, 245, 331, 197, 1947, 3145, 6927, 1, 3, 7, 7, 31,
    41, 73, 59, 93, 565, 1885, 3803, 7013, 1, 1, 1, 13, 23, 19, 107, 77,
    449, 965, 99, 1215, 4699, 1, 1, 3, 13, 11, 3, 37, 209, 221, 197, 1913,
    631, 1621, 1, 1, 5, 9, 27, 51, 61, 249, 269, 507, 1005, 2471, 4621, 1,
    3, 5, 1, 3, 49, 69, 227, 289, 261, 1103, 389, 4883, 1, 1, 5, 3,
    29, 35, 43, 167, 451, 1017, 865, 1507, 7387, 1, 1, 3, 15, 13, 1, 53,
    9, 23, 581, 627, 3823, 6767, 1, 3, 1, 7, 3, 21, 115, 73, 353, 725,
    1971, 1623, 7359, 1, 1, 3, 5, 17, 15, 37, 219, 187, 699, 1463, 1563, 2785,
    1, 3, 7, 13, 11, 43, 9, 49, 125, 681, 499, 2127, 6613, 1, 3, 5,
    11, 5, 21, 115, 227, 305, 247, 1947, 853, 5357, 1, 3, 1, 9, 29, 37,
    1, 181, 427, 435, 1757, 1535, 4383, 1, 3, 1, 15, 15, 41, 123, 7, 367,
    767, 777, 3455, 7739, 1, 1, 5, 9, 13, 3, 5, 79, 3, 121, 1113, 1731,
    501, 1, 1, 3, 13, 1, 13, 127, 215, 329, 381, 205, 2391, 581, 1, 1,
    3, 7, 7, 19, 9, 23, 463, 455, 1921, 763, 5077, 1, 1, 3, 3, 13,
    23, 65, 7, 337, 603, 1243, 2161, 5883, 1, 3, 5, 1, 15, 23, 73, 151,
    243, 847, 1189, 1663, 2011, 1, 1, 7, 7, 11, 17, 91, 219, 127, 317, 1807,
    1369, 7433, 1, 3, 5, 9, 31, 49, 65, 47, 11, 541, 55, 2743, 4987, 1,
    3, 7, 13, 23, 23, 51, 129, 111, 319, 1195, 1593, 4407, 1, 3, 1, 7,
    21, 25, 35, 187, 409, 981, 293, 873, 7447, 1, 3, 1, 9, 3, 11, 25,
    75, 347, 907, 1645, 2997, 5953, 1, 3, 7, 7, 25, 49, 99, 37, 45, 81,
    95, 2637, 1337, 1, 3, 5, 3, 29, 35, 85, 167, 503, 257, 1101, 2647, 1469,
    1, 3, 5, 1, 27, 17, 93, 197, 485, 899, 1201, 3633, 1289, 1, 3, 1,
    7, 5, 17, 53, 167, 353, 1023, 1063, 2221, 3635, 1, 1, 5, 11, 9, 43,
    123, 241, 77, 657, 1789, 235, 2105, 1, 1, 5, 9, 9, 53, 109, 185, 443,
    803, 115, 2079, 7839, 1, 1, 1, 13, 29, 29, 35, 235, 253, 529, 153, 1613,
    6723, 1, 3, 1, 13, 11, 31, 81, 177, 135, 659, 605, 1253, 5077, 1, 3,
    5, 3, 25, 53, 87, 183, 285, 639, 657, 2307, 5477, 1, 1, 7, 7, 9,
    35, 31, 83, 165, 735, 1445, 3935, 515, 1, 3, 5, 1, 13, 59, 99, 191,
    187, 375, 959, 1145, 1487, 1, 3, 7, 3, 1, 1, 127, 127, 101, 583, 121,
    2879, 63, 1, 3, 7, 11, 13, 1, 125, 81, 31, 177, 107, 2339, 755, 1,
    1, 3, 13, 7, 33, 9, 247, 395, 255, 1817, 1509, 5401, 1, 1, 7, 7,
    27, 19, 87, 167, 425, 1019, 1419, 4025, 5483, 1, 3, 7, 7, 5, 49, 97,
    65, 355, 207, 323, 2367, 171, 1, 3, 7, 5, 23, 5, 125, 131, 115, 585,
    1533, 3489, 507, 1, 3, 3, 15, 29, 51, 79, 239, 289, 909, 1339, 857, 1661,
    1, 3, 5, 11, 23, 1, 65, 123, 439, 349, 1593, 1913, 433, 1, 1, 7,
    5, 27, 45, 59, 33, 375, 553, 1955, 731, 4335, 1, 1, 3, 7, 25, 63,
    51, 183, 67, 783, 885, 3385, 7109, 1, 3, 7, 9, 3, 43, 105, 145, 123,
    503, 203, 1029, 6713, 1, 3, 7, 7, 11, 49, 113, 69, 489, 649, 1393, 1475,
    6663, 1, 1, 5, 11, 13, 5, 105, 21, 451, 137, 2029, 1459, 7981, 1, 1,
    7, 5, 7, 17, 3, 213, 255, 867, 89, 2437, 1151, 1, 1, 7, 9, 19,
    23, 115, 161, 257, 419, 1133, 1291, 243, 1, 3, 5, 7, 27, 45, 23, 157,
    371, 219, 1001, 343, 2419, 1, 3, 1, 1, 21, 59, 91, 153, 19, 469, 1923,
    2439, 3837, 1, 3, 7, 3, 23, 29, 57, 201, 209, 249, 63, 2929, 2719, 1,
    1, 5, 3, 11, 3, 75, 91, 157, 557, 1775, 387, 803, 1, 3, 3, 3,
    27, 57, 69, 135, 317, 897, 1417, 1853, 747, 1, 1, 7, 11, 15, 19, 115,
    219, 57, 925, 1869, 609, 1631, 1, 1, 1, 11, 29, 21, 45, 19, 91, 271,
    971, 2569, 423, 1, 3, 3, 13, 5, 9, 5, 101, 147, 777, 1647, 457, 4053,
    1, 1, 5, 9, 9, 25, 13, 175, 53, 467, 1555, 2969, 1669, 1, 1, 1,
    7, 21, 49, 1, 49, 317, 505, 1495, 1053, 2293, 1, 1, 1, 3, 15, 43,
    91, 207, 211, 725, 2039, 803, 4029, 1, 1, 7, 13, 17, 45, 39, 125, 129,
    169, 47, 2105, 1749, 1, 3, 7, 11, 19, 13, 5, 105, 203, 611, 147, 2291,
    1823, 1, 1, 5, 1, 5, 15, 15, 35, 33, 467, 59, 2435, 3141, 1, 3,
    1, 5, 29, 43, 35, 3, 173, 619, 1595, 347, 2513, 1, 3, 3, 1, 23,
    37, 3, 123, 301, 403, 1603, 2345, 1031, 1, 3, 5, 9, 23, 55, 23, 19,
    497, 501, 99, 1925, 6243, 1, 3, 5, 1, 21, 37, 83, 59, 285, 107, 1909,
    3647, 8041, 1, 3, 5, 1, 7, 11, 91, 1, 357, 643, 1319, 2895, 2193, 1,
    1, 5, 9, 27, 29, 25, 125, 433, 525, 1511, 585, 5263, 1, 3, 1, 11,
    13, 49, 79, 37, 165, 923, 749, 2207, 4673, 1, 1, 5, 9, 29, 37, 51,
    3, 133, 859, 153, 1199, 2269, 1, 1, 7, 5, 9, 57, 101, 231, 383, 245,
    1997, 2661, 6069, 1, 1, 7, 7, 25, 61, 25, 185, 247, 509, 1953, 3309, 4879,
    1, 1, 3, 7, 19, 61, 95, 105, 355, 219, 103, 249, 579, 1, 3, 7,
    15, 7, 3, 51, 143, 273, 203, 353, 1587, 2239, 1, 3, 3, 9, 27, 47,
    123, 185, 337, 183, 983, 2313, 815, 1, 1, 5, 15, 19, 19, 3, 199, 247,
    151, 1911, 301, 5311, 1, 1, 1, 3, 7, 63, 61, 151, 297, 541, 1457, 2945,
    5703, 1, 3, 7, 5, 31, 1, 109, 179, 197, 109, 695, 2429, 3483, 1, 3,
    7, 1, 27, 25, 27, 113, 455, 655, 1813, 2341, 4785, 1, 1, 5, 15, 9,
    47, 105, 15, 75, 901, 1539, 2599, 1013, 1, 3, 1, 11, 17, 17, 29, 219,
    121, 383, 1575, 3153, 6151, 1, 1, 1, 3, 29, 51, 35, 95, 89, 279, 1255,
    2967, 455, 1, 3, 5, 15, 3, 3, 15, 181, 91, 169, 1703, 777, 6539, 1,
    1, 3, 13, 15, 29, 115, 225, 179, 271, 737, 2425, 3149, 1, 3, 7, 3,
    13, 29, 1, 169, 35, 145, 725, 3679, 2593, 1, 1, 7, 9, 11, 1, 51,
    65, 283, 791, 449, 1387, 7347, 1, 3, 1, 13, 21, 23, 79, 207, 425, 839,
    737, 243, 6761, 1, 3, 3, 5, 11, 25, 93, 119, 245, 539, 405, 1925, 1595,
    1, 3, 7, 15, 5, 19, 97, 225, 471, 801, 379, 923, 1961, 1, 3, 7,
    15, 25, 49, 41, 237, 11, 983, 1889, 3947, 2579, 1, 3, 5, 13, 3, 39,
    51, 131, 477, 699, 1101, 1289, 7683, 1, 1, 7, 1, 23, 39, 99, 167, 53,
    333, 1059, 2947, 2097, 1, 1, 5, 15, 9, 55, 33, 121, 485, 767, 793, 1015,
    7657, 1, 1, 7, 13, 15, 57, 5, 39, 197, 67, 1471, 841, 1797, 1, 3,
    5, 3, 15, 17, 11, 139, 21, 827, 465, 1341, 1115, 1, 3, 7, 11, 7,
    3, 29, 107, 79, 19, 493, 1705, 4631, 1, 1, 7, 1, 9, 61, 79, 23,
    83, 863, 1189, 2653, 2139, 1, 1, 7, 7, 7, 39, 105, 147, 293, 799, 781,
    1085, 1405, 1, 3, 3, 13, 27, 55, 89, 73, 255, 845, 485, 739, 4937, 1,
    3, 1, 5, 19, 41, 93, 125, 203, 789, 1447, 189, 4743, 1, 3, 3, 11,
    9, 9, 51, 237, 353, 313, 101, 873, 5605, 1, 3, 1, 5, 1, 33, 67,
    29, 361, 945, 5, 305, 1461, 1, 1, 7, 3, 5, 31, 47, 145, 369, 419,
    415, 2645, 4665, 1, 1, 1, 1, 9, 35, 3, 67, 233, 991, 1683, 1145, 6283,
    1, 1, 1, 7, 13, 43, 95, 141, 415, 219, 1877, 2763, 3975, 1, 1, 3,
    9, 25, 1, 125, 139, 31, 791, 2033, 2477, 297, 1, 1, 3, 7, 13, 53,
    29, 53, 341, 905, 1953, 593, 3121, 1, 3, 3, 5, 21, 45, 97, 231, 377,
    117, 1449, 1159, 1831, 1, 3, 7, 3, 13, 25, 33, 15, 479, 141, 1101, 1611,
    2145, 1, 3, 5, 13, 19, 33, 85, 215, 107, 273, 1361, 1103, 3461, 1, 3,
    5, 9, 7, 29, 91, 55, 239, 971, 1389, 301, 6011, 1, 3, 3, 3, 31,
    39, 73, 131, 53, 583, 1387, 3827, 5621, 1, 1, 7, 1, 21, 47, 39, 99,
    95, 915, 1281, 675, 4147, 1, 3, 7, 13, 19, 17, 121, 151, 163, 447, 1741,
    2563, 957, 1, 3, 1, 11, 19, 19, 9, 31, 105, 829, 1957, 3327, 2923, 1,
    1, 1, 1, 29, 49, 67, 135, 165, 203, 691, 4043, 4973, 1, 3, 3, 15,
    17, 57, 53, 123, 311, 169, 1705, 3853, 3243, 1, 1, 7, 5, 11, 51, 39,
    215, 209, 353, 1857, 369, 1793, 1, 1, 1, 3, 1, 55, 19, 145, 283, 471,
    929, 3207, 5819, 1, 1, 3, 13, 21, 23, 49, 241, 53, 153, 591, 949, 859,
    1, 3, 1, 5, 21, 13, 105, 147, 29, 407, 589, 1659, 5265, 1, 1, 1,
    9, 19, 27, 83, 175, 329, 459, 1401, 2195, 5997, 1, 1, 5, 1, 29, 39,
    33, 73, 363, 143, 617, 1507, 5871, 1, 1, 1, 7, 29, 23, 19, 51, 331,
    299, 1883, 1973, 1969, 1, 3, 7, 13, 1, 49, 25, 43, 17, 297, 683, 1189,
    6049, 1, 3, 1, 15, 23, 25, 29, 231, 425, 501, 1787, 3223, 5789, 1, 3,
    7, 1, 1, 3, 23, 231, 377, 485, 1469, 1089, 1539, 1, 1, 5, 5, 29,
    25, 93, 51, 249, 25, 1355, 23, 2961, 1, 3, 5, 13, 11, 55, 117, 221,
    137, 941, 1127, 735, 4835, 1, 3, 3, 15, 5, 53, 35, 245, 31, 985, 2035,
    163, 5223, 1, 1, 7, 7, 27, 25, 17, 113, 187, 283, 723, 2703, 4873, 1,
    1, 1, 1, 3, 61, 81, 125, 335, 997, 975, 2371, 1829, 1, 3, 1, 15,
    21, 9, 67, 55, 109, 657, 837, 1737, 5147, 1, 1, 3, 3, 19, 41, 117,
    39, 441, 985, 955, 1467, 7297, 1, 1, 7, 7, 23, 1, 11, 11, 221, 539,
    1807, 1887, 7921, 1, 3, 3, 1, 27, 45, 73, 39, 217, 233, 2015, 1209, 7101,
    1, 3, 1, 11, 19, 57, 85, 45, 395, 23, 405, 2723, 653, 1, 1, 5,
    15, 3, 43, 95, 149, 395, 359, 1067, 3571, 6219, 1, 1, 5, 5, 15, 3,
    33, 181, 427, 565, 103, 261, 2375, 1, 3, 3, 15, 1, 3, 89, 239, 461,
    675, 1149, 819, 3481, 1, 1, 5, 9, 23, 57, 1, 147, 245, 941, 1425, 2403,
    7915, 1, 3, 1, 13, 3, 25, 43, 205, 295, 799, 1845, 2695, 3183, 1, 3,
    1, 15, 11, 19, 111, 83, 479, 927, 709, 2739, 1233, 1, 3, 7, 13, 25,
    41, 49, 39, 63, 265, 717, 3843, 3091, 1, 3, 1, 5, 27, 11, 55, 31,
    103, 263, 759, 1969, 1301, 1, 1, 7, 15, 15, 33, 61, 93, 177, 645, 387,
    3999, 4511, 1, 1, 7, 9, 5, 43, 87, 125, 443, 825, 1423, 1575, 2661, 1,
    3, 1, 5, 3, 59, 59, 91, 63, 805, 1461, 4009, 4235, 1, 1, 3, 7,
    15, 13, 95, 179, 479, 735, 1075, 4089, 4807, 1, 3, 1, 3, 23, 63, 63,
    77, 299, 939, 661, 1007, 3299, 1, 1, 5, 3, 7, 49, 1, 217, 87, 561,
    275, 3137, 4355, 1, 3, 5, 9, 21, 25, 49, 199, 207, 513, 231, 3053, 8023,
    1, 1, 5, 1, 19, 39, 79, 225, 213, 719, 577, 3885, 7151, 1, 3, 1,
    7, 9, 7, 9, 63, 185, 877, 253, 1401, 7665, 1, 1, 7, 15, 7, 9,
    33, 79, 241, 727, 681, 2195, 5285, 1, 3, 3, 9, 21, 27, 9, 17, 277,
    365, 1497, 2323, 1215, 1, 1, 3, 3, 29, 23, 63, 209, 487, 243, 1137, 45,
    3949, 1, 1, 1, 15, 1, 33, 29, 245, 25, 497, 809, 4017, 2149, 1, 3,
    3, 3, 25, 11, 117, 129, 23, 547, 175, 463, 2731, 1, 3, 3, 3, 5,
    47, 69, 197, 131, 101, 1003, 1573, 3629, 1, 1, 1, 9, 7, 33, 63, 53,
    159, 1009, 963, 203, 3395, 1, 3, 1, 1, 9, 11, 95, 73, 359, 357, 421,
    1169, 7317, 1, 3, 5, 15, 27, 57, 105, 109, 457, 161, 901, 2239, 2143, 1,
    1, 3, 7, 7, 61, 11, 211, 7, 515, 895, 1341, 2603, 1, 3, 3, 3,
    7, 15, 67, 237, 5, 345, 1631, 923, 4269, 1, 1, 1, 15, 15, 27, 73,
    7, 359, 49, 381, 2415, 1979, 1, 3, 7, 7, 15, 33, 1, 39, 19, 171,
    93, 1815, 2675, 1, 3, 7, 9, 13, 37, 85, 75, 395, 767, 1855, 3413, 1845,
    1, 3, 5, 15, 7, 59, 33, 235, 455, 21, 237, 3103, 6065, 1, 1, 3,
    3, 29, 9, 67, 173, 303, 9, 1899, 3799, 63, 1, 1, 3, 5, 15, 53,
    13, 149, 45, 223, 823, 1351, 4517, 1, 3, 3, 15, 21, 59, 81, 185, 245,
    589, 1149, 3351, 4879, 1, 1, 1, 1, 11, 29, 17, 57, 199, 941, 1497, 227,
    6271, 1, 3, 5, 7, 13, 35, 97, 247, 439, 687, 1821, 1583, 5919, 1, 1,
    3, 7, 27, 25, 123, 129, 15, 497, 1491, 171, 6369, 1, 3, 1, 1, 25,
    27, 63, 27, 261, 707, 579, 2599, 5925, 1, 1, 3, 9, 9, 39, 63, 141,
    293, 601, 573, 445, 1003, 1, 3, 3, 15, 7, 25, 21, 189, 137, 13, 1923,
    1019, 7219, 1, 3, 5, 9, 27, 45, 13, 251, 403, 781, 2009, 239, 4777, 1,
    1, 5, 3, 21, 35, 93, 89, 249, 473, 1241, 2485, 291, 1, 3, 7, 15,
    5, 53, 45, 213, 41, 393, 529, 599, 4993, 1, 3, 7, 5, 29, 29, 9,
    163, 27, 617, 2015, 117, 6065, 1, 1, 7, 3, 9, 19, 31, 67, 395, 1003,
    1907, 1165, 3375, 1, 1, 7, 1, 1, 37, 41, 131, 397, 181, 481, 2691, 6519,
    1, 3, 5, 3, 9, 31, 127, 145, 435, 149, 597, 3611, 7715, 1, 1, 3,
    9, 27, 33, 37, 165, 167, 699, 1313, 3599, 827, 1, 1, 1, 9, 15, 3,
    21, 123, 319, 1009, 901, 819, 823, 1, 1, 7, 9, 29, 27, 101, 33, 341,
    449, 607, 2807, 5553, 1, 3, 5, 3, 21, 25, 41, 105, 255, 339, 1971, 175,
    47, 1, 1, 3, 5, 5, 3, 21, 73, 111, 293, 1283, 2531, 7609, 1, 3,
    7, 3, 29, 47, 83, 165, 249, 281, 175, 1043, 4143, 1, 3, 1, 15, 27,
    59, 3, 101, 343, 813, 1559, 553, 7801, 1, 1, 7, 15, 1, 9, 77, 205,
    151, 255, 701, 2653, 2079, 1, 3, 3, 3, 13, 39, 37, 161, 499, 657, 1557,
    3969, 3489, 1, 1, 1, 15, 9, 27, 41, 253, 119, 583, 73, 3255, 6067, 1,
    1, 7, 7, 27, 43, 53, 99, 245, 169, 659, 81, 2943, 1, 1, 1, 11,
    27, 13, 41, 217, 493, 145, 835, 3745, 97, 1, 3, 1, 9, 7, 13, 117,
    113, 197, 503, 953, 2433, 7663, 1, 3, 5, 5, 9, 47, 101, 47, 187, 469,
    69, 4031, 6231, 1, 1, 1, 3, 27, 27, 47, 219, 11, 201, 1267, 2703, 6711,
    1, 3, 7, 7, 27, 27, 97, 101, 7, 541, 105, 3821, 7533, 1, 3, 5,
    13, 21, 17, 99, 213, 347, 595, 519, 1113, 5427, 1, 1, 7, 13, 31, 1,
    25, 111, 387, 27, 99, 119, 3265, 1, 1, 7, 15, 11, 43, 19, 177, 11,
    943, 3, 623, 4223, 1, 3, 7, 3, 31, 59, 21, 241, 375, 703, 1465, 2375,
    2853, 1, 1, 7, 15, 1, 49, 51, 161, 397, 583, 913, 985, 5519, 1, 3,
    1, 3, 13, 37, 23, 165, 223, 427, 129, 1553, 4145, 1, 3, 3, 3, 1,
    23, 47, 237, 371, 315, 1631, 2037, 61, 1, 3, 5, 15, 23, 59, 71, 237,
    487, 443, 1475, 3065, 2453, 1, 1, 3, 13, 25, 57, 71, 3, 247, 145, 2011,
    553, 7565, 1, 1, 1, 9, 21, 1, 61, 91, 3, 807, 1795, 2665, 473, 1,
    3, 7, 11, 9, 7, 123, 233, 249, 825, 1505, 3599, 6653, 1, 1, 3, 15,
    11, 37, 119, 63, 233, 541, 1373, 765, 4913, 1, 1, 1, 9, 5, 15, 77,
    65, 321, 613, 1857, 3699, 1, 1, 3, 1, 15, 13, 37, 123, 9, 105, 121,
    893, 1009, 7871, 1, 3, 5, 1, 23, 61, 29, 223, 209, 605, 409, 875, 5233,
    1, 1, 3, 11, 5, 61, 9, 85, 361, 613, 1555, 2323, 5119, 1, 1, 1,
    1, 17, 49, 67, 191, 247, 873, 1283, 171, 1689, 1, 3, 3, 13, 17, 17,
    45, 73, 175, 243, 97, 315, 1429, 1, 3, 5, 5, 13, 1, 113, 87, 241,
    199, 145, 3823, 5965, 1, 3, 3, 7, 7, 47, 115, 139, 239, 547, 109, 2251,
    6987, 1, 3, 1, 11, 3, 59, 111, 225, 385, 887, 425, 1879, 4535, 1, 1,
    3, 9, 27, 35, 55, 125, 379, 529, 191, 1657, 2835, 1, 1, 7, 11, 25,
    11, 85, 21, 65, 377, 1989, 1963, 6985, 1, 3, 7, 11, 15, 59, 91, 51,
    145, 627, 1617, 3029, 3621, 1, 3, 7, 11, 29, 9, 15, 189, 495, 997, 467,
    343, 7615, 1, 1, 7, 7, 17, 37, 89, 31, 355, 323, 1361, 3785, 643, 1,
    1, 7, 1, 27, 19, 15, 5, 383, 1023, 923, 3283, 2997, 1, 3, 7, 15,
    11, 41, 117, 255, 407, 117, 495, 99, 7687, 1, 1, 1, 9, 9, 29, 109,
    103, 81, 237, 1547, 3083, 2449, 1, 3, 5, 1, 19, 57, 43, 215, 251, 417,
    1719, 3767, 1543, 1, 3, 7, 11, 15, 9, 1, 171, 439, 637, 1709, 1483, 4111,
    1, 3, 1, 5, 25, 31, 101, 101, 301, 169, 803, 2119, 5035, 1, 1, 7,
    5, 21, 57, 59, 149, 31, 1023, 1063, 2465, 1517, 1, 1, 5, 5, 7, 29,
    101, 19, 49, 187, 715, 843, 1553, 1, 3, 3, 5, 21, 43, 27, 203, 125,
    629, 1395, 15, 7647, 1, 1, 3, 11, 27, 49, 69, 135, 447, 503, 1589, 209,
    791, 1, 3, 1, 15, 17, 57, 27, 55, 237, 223, 949, 2119, 3221, 1, 3,
    3, 9, 3, 37, 43, 49, 41, 899, 1657, 2463, 1303, 1, 1, 7, 13, 27,
    27, 19, 93, 139, 745, 889, 951, 6925, 1, 3, 1, 13, 15, 33, 97, 217,
    333, 295, 683, 397, 3889, 1, 3, 5, 15, 17, 57, 47, 173, 15, 77, 863,
    1441, 6851, 1, 3, 5, 7, 3, 43, 21, 37, 349, 1021, 725, 1985, 481, 1,
    1, 1, 13, 9, 45, 85, 177, 15, 915, 187, 15, 6621, 1, 3, 5, 11,
    5, 29, 113, 95, 461, 607, 1637, 1897, 721, 1, 3, 1, 11, 13, 23, 55,
    169, 29, 803, 1433, 2113, 7255, 1, 1, 5, 3, 31, 1, 45, 251, 129, 267,
    1489, 427, 4993, 1, 1, 1, 9, 9, 11, 19, 31, 493, 195, 1545, 2681, 2187,
    1, 3, 1, 7, 3, 51, 121, 149, 325, 921, 241, 999, 6039, 1, 3, 3,
    15, 17, 37, 41, 157, 209, 587, 1351, 2353, 1197, 1, 1, 5, 13, 13, 55,
    45, 3, 475, 9, 11, 3175, 2185, 1, 3, 5, 13, 31, 33, 63, 149, 463,
    493, 1483, 1457, 6051, 1, 1, 1, 3, 3, 11, 119, 177, 207, 631, 105, 263,
    2533, 1, 1, 1, 15, 23, 27, 73, 77, 143, 523, 1883, 3289, 1685, 1, 3,
    1, 5, 21, 31, 25, 183, 71, 679, 1697, 3473, 4233, 1, 1, 7, 15, 9,
    13, 103, 125, 223, 83, 1255, 2755, 1447, 1, 3, 5, 15, 15, 51, 69, 101,
    369, 463, 1515, 3485, 1871, 1, 3, 5, 7, 21, 31, 55, 223, 477, 995, 147,
    387, 7917, 1, 3, 5, 5, 7, 31, 73, 243, 283, 949, 705, 449, 3309, 1,
    1, 5, 9, 15, 5, 25, 219, 379, 1013, 1683, 703, 4855, 1, 1, 7, 15,
    25, 15, 99, 217, 265, 851, 149, 1557, 8107, 1, 3, 3, 5, 1, 59, 35,
    119, 245, 9, 765, 833, 1707, 1, 1, 1, 13, 23, 49, 25, 153, 215, 365,
    1943, 2975, 1301, 1, 3, 5, 7, 15, 45, 25, 215, 225, 431, 1161, 2389, 1969,
    1, 3, 5, 9, 19, 31, 121, 189, 331, 23, 419, 3171, 6241, 1, 1, 5,
    5, 17, 39, 69, 215, 307, 827, 557, 3251, 3211, 1, 1, 3, 11, 31, 27,
    23, 119, 463, 605, 453, 1573, 1981, 1, 1, 5, 11, 1, 15, 37, 111, 481,
    331, 1481, 1013, 3259, 1, 1, 1, 11, 21, 39, 25, 183, 351, 553, 3, 3969,
    2551, 1, 3, 7, 1, 19, 5, 3, 55, 483, 373, 1529, 535, 4215, 1, 1,
    3, 1, 25, 61, 89, 197, 465, 493, 661, 2361, 4211, 1, 3, 1, 9, 29,
    61, 59, 175, 389, 973, 1763, 4077, 6211, 1, 3, 1, 7, 11, 41, 117, 75,
    291, 125, 273, 5, 8169, 1, 1, 5, 11, 21, 53, 121, 31, 451, 631, 1901,
    4059, 6801, 1, 3, 7, 3, 13, 33, 51, 247, 409, 881, 935, 1927, 1559, 1,
    1, 3, 13, 15, 51, 105, 209, 159, 333, 325, 3699, 5461, 1, 3, 3, 5,
    17, 7, 47, 57, 59, 673, 611, 253, 1531, 1, 1, 7, 1, 19, 27, 15,
    189, 319, 649, 1593, 875, 8187, 1, 1, 1, 3, 15, 17, 81, 183, 409, 433,
    679, 1881, 7827, 1, 1, 3, 9, 23, 37, 83, 235, 225, 599, 1979, 2871, 1353,
    1, 1, 7, 7, 27, 11, 93, 115, 339, 233, 1733, 2071, 3187, 1, 1, 1,
    7, 27, 47, 61, 73, 361, 621, 1907, 3103, 1873, 1, 1, 1, 9, 9, 13,
    67, 161, 21, 953, 1101, 2255, 4841, 1, 3, 7, 7, 29, 39, 31, 73, 351,
    401, 441, 4085, 2829, 1, 1, 5, 15, 9, 23, 127, 111, 309, 955, 623, 1995,
    1961, 1, 3, 5, 9, 3, 3, 27, 91, 287, 73, 1449, 1347, 8069, 1, 1,
    5, 3, 9, 49, 87, 3, 59, 193, 1999, 2295, 2247, 1, 3, 3, 3, 21,
    21, 97, 47, 195, 65, 1281, 1411, 6503, 1, 1, 7, 13, 1, 11, 85, 195,
    429, 71, 1053, 3623, 2921, 1, 3, 1, 5, 17, 15, 105, 155, 291, 889, 1997,
    3629, 7025, 1, 1, 3, 7, 9, 3, 79, 41, 21, 819, 1665, 4021, 7057, 1,
    1, 3, 1, 1, 23, 73, 5, 75, 435, 889, 2577, 697, 1, 3, 7, 1,
    1, 5, 77, 183, 109, 159, 1463, 2689, 7799, 1, 1, 1, 13, 29, 55, 123,
    247, 509, 909, 247, 3053, 7301, 1, 1, 5, 13, 7, 23, 43, 177, 59, 643,
    1517, 1869, 3269, 1, 3, 1, 9, 7, 43, 3, 13, 387, 893, 1013, 7, 7481,
    1, 1, 1, 1, 9, 35, 111, 199, 77, 375, 981, 3475, 2339, 1, 3, 5,
    7, 5, 13, 27, 5, 113, 65, 1785, 1517, 8027, 1, 3, 7, 5, 25, 47,
    15, 7, 45, 441, 7, 1601, 6543, 1, 1, 7, 3, 17, 59, 71, 93, 441,
    763, 769, 1977, 287, 1, 1, 7, 11, 29, 23, 61, 199, 469, 757, 1473, 2625,
    5909, 1, 1, 5, 11, 27, 47, 41, 91, 457, 1003, 217, 401, 8113, 1, 1,
    5, 7, 1, 33, 43, 45, 169, 485, 191, 615, 5141, 1, 3, 1, 5, 5,
    53, 19, 185, 189, 681, 1685, 661, 6825, 1, 3, 3, 1, 1, 7, 47, 27,
    275, 63, 1029, 449, 4665, 1, 3, 3, 1, 3, 31, 1, 77, 275, 871, 1031,
    1025, 4683, 1, 1, 3, 3, 9, 35, 39, 43, 363, 129, 431, 1351, 8037, 1,
    1, 5, 3, 3, 39, 29, 99, 441, 819, 175, 3503, 4911, 1, 3, 5, 13,
    9, 17, 87, 5, 311, 307, 659, 2795, 4055, 1, 1, 3, 13, 13, 51, 69,
    99, 65, 257, 87, 1407, 3157, 1, 1, 5, 9, 19, 41, 97, 231, 85, 743,
    637, 755, 6209, 1, 1, 5, 15, 21, 63, 81, 35, 477, 39, 873, 3679, 6477,
    1, 1, 7, 13, 23, 37, 115, 87, 171, 33, 1779, 3169, 3205, 1, 3, 7,
    11, 9, 41, 111, 9, 5, 441, 1677, 311, 1019, 1, 1, 5, 15, 7, 23,
    7, 181, 461, 357, 187, 3461, 6689, 1, 1, 3, 11, 15, 37, 101, 125, 271,
    205, 57, 3361, 3965, 1, 3, 3, 9, 25, 41, 97, 133, 39, 383, 669, 4007,
    25, 1, 3, 7, 13, 17, 13, 79, 61, 145, 567, 1079, 287, 467, 1, 1,
    5, 1, 7, 47, 97, 131, 119, 1013, 1991, 741, 27, 1, 3, 5, 9, 23,
    21, 71, 209, 239, 801, 133, 2891, 1141, 1, 1, 7, 9, 17, 11, 109, 251,
    127, 447, 1257, 3831, 1511, 1, 3, 1, 13, 21, 9, 69, 241, 61, 521, 1281,
    3499, 4001, 1, 1, 5, 15, 5, 23, 117, 111, 159, 861, 295, 3403, 981, 1,
    3, 3, 5, 3, 37, 85, 129, 281, 261, 1753, 1399, 43, 1, 1, 5, 5,
    3, 49, 67, 221, 3, 143, 617, 2579, 373, 1, 3, 5, 11, 29, 49, 59,
    47, 21, 725, 655, 3467, 2375, 1, 3, 3, 13, 15, 43, 19, 185, 411, 299,
    1351, 3543, 5429, 1, 1, 5, 11, 19, 63, 19, 167, 439, 627, 1729, 245, 193,
    1, 1, 3, 1, 5, 5, 115, 127, 295, 321, 1167, 3187, 6165, 1, 3, 1,
    9, 9, 51, 87, 205, 211, 427, 1817, 3169, 1469, 1, 3, 1, 15, 27, 57,
    15, 199, 87, 361, 583, 2467, 1367, 1, 1, 1, 11, 27, 7, 53, 173, 505,
    839, 929, 3977, 7667, 1, 3, 3, 13, 7, 37, 51, 109, 249, 233, 899, 3991,
    6667, 1, 3, 1, 11, 17, 23, 105, 213, 425, 175, 869, 3185, 6301, 1, 1,
    5, 5, 17, 47, 5, 135, 497, 227, 1135, 689, 5047, 1, 3, 3, 11, 5,
    49, 29, 177, 325, 727, 1719, 1805, 3361, 1, 1, 3, 3, 11, 7, 87, 169,
    27, 137, 1835, 1377, 4915, 1, 3, 5, 5, 21, 53, 99, 137, 133, 599, 479,
    2859, 6731, 1, 1, 5, 5, 15, 15, 31, 239, 183, 167, 1799, 1533, 309, 1,
    3, 5, 15, 23, 51, 85, 133, 51, 991, 899, 3777, 2231, 1, 1, 3, 1,
    15, 19, 29, 5, 415, 531, 253, 49, 7197, 1, 1, 5, 15, 21, 23, 41,
    213, 189, 579, 1181, 3425, 8037, 1, 1, 5, 13, 9, 63, 21, 195, 71, 137,
    1283, 2895, 3301, 1, 1, 7, 1, 11, 5, 103, 183, 403, 177, 1561, 201, 2843,
    1, 3, 3, 9, 19, 15, 85, 123, 273, 891, 493, 3761, 557, 1, 3, 7,
    9, 9, 23, 123, 243, 71, 137, 1937, 3199, 6865, 1, 1, 1, 15, 15, 55,
    119, 203, 449, 969, 181, 2573, 3261, 1, 1, 1, 9, 29, 9, 87, 117, 85,
    369, 911, 1203, 7287, 1, 1, 1, 7, 1, 35, 9, 85, 253, 123, 67, 2089,
    4693, 1, 3, 5, 15, 11, 13, 43, 97, 407, 1011, 1839, 525, 6809, 1, 3,
    3, 7, 11, 49, 5, 29, 299, 35, 1883, 763, 3099, 1, 3, 3, 13, 31,
    5, 61, 79, 409, 1001, 1057, 1673, 4689, 1, 1, 3, 7, 23, 53, 23, 243,
    335, 847, 1011, 659, 3739, 1, 3, 5, 1, 15, 55, 15, 161, 417, 225, 227,
    3933, 5625, 1, 3, 7, 11, 25, 1, 75, 33, 401, 777, 1999, 1649, 1269, 1,
    3, 5, 5, 3, 1, 13, 99, 447, 579, 225, 3851, 5379, 1, 1, 3, 13,
    19, 33, 39, 93, 133, 889, 113, 3983, 1115, 1, 3, 5, 13, 1, 47, 113,
    231, 461, 653, 1965, 849, 4513, 1, 1, 3, 1, 23, 7, 105, 115, 463, 385,
    1355, 1417, 6341, 1, 1, 5, 7, 9, 27, 123, 193, 5, 735, 733, 2385, 6569,
    1, 3, 1, 11, 13, 51, 53, 15, 289, 433, 951, 3657, 5239, 1, 1, 7,
    3, 7, 59, 69, 57, 471, 247, 259, 2617, 47, 1, 3, 7, 13, 5, 41,
    45, 67, 363, 295, 1715, 3567, 2457, 1, 1, 5, 3, 21, 19, 79, 37, 273,
    613, 475, 3989, 3779, 1, 1, 5, 3, 21, 11, 53, 117, 367, 295, 1027, 2579,
    2717, 1, 1, 5, 7, 29, 1, 47, 185, 377, 267, 1375, 801, 5967, 1, 3,
    3, 3, 15, 5, 51, 183, 249, 789, 785, 1459, 7865, 1, 3, 5, 5, 31,
    17, 89, 9, 247, 67, 1259, 3099, 2805, 1, 3, 3, 11, 31, 51, 55, 37,
    201, 779, 1235, 1905, 1995, 1, 3, 1, 1, 27, 31, 25, 37, 443, 399, 1911,
    3951, 4311, 1, 3, 3, 11, 11, 13, 69, 209, 295, 431, 573, 1781, 7767, 1,
    3, 1, 3, 23, 55, 57, 29, 137, 407, 1339, 1411, 123, 1, 3, 3, 13,
    5, 15, 7, 29, 353, 143, 133, 2351, 1555, 1, 1, 7, 9, 17, 53, 61,
    197, 245, 327, 147, 3231, 1825, 1, 3, 5, 3, 27, 55, 31, 15, 429, 703,
    1863, 3697, 2169, 1, 3, 3, 1, 19, 45, 61, 179, 471, 219, 1127, 3521, 8065,
    1, 3, 5, 5, 17, 21, 77, 117, 331, 979, 175, 3155, 1589, 1, 3, 1,
    9, 13, 41, 25, 221, 115, 333, 1851, 543, 5479, 1, 3, 3, 13, 25, 35,
    113, 107, 21, 85, 815, 3013, 8067, 1, 1, 3, 9, 23, 37, 55, 193, 301,
    463, 1361, 3455, 5745, 1, 3, 5, 7, 3, 63, 73, 83, 35, 709, 719, 1133,
    6711, 1, 1, 5, 7, 11, 7, 67, 199, 285, 527, 1181, 39, 5639, 1, 3,
    3, 3, 17, 13, 33, 213, 97, 499, 1651, 3369, 6001, 1, 1, 3, 1, 15,
    37, 67, 31, 225, 205, 1009, 2579, 331, 1, 1, 7, 1, 29, 3, 91, 153,
    395, 89, 2019, 1297, 7035, 1, 3, 3, 5, 29, 31, 65, 137, 289, 351, 677,
    3305, 5073, 1, 1, 3, 13, 15, 21, 43, 227, 399, 921, 123, 3199, 6925, 1,
    1, 7, 13, 17, 11, 107, 251, 55, 525, 869, 209, 6209, 1, 1, 3, 11,
    29, 39, 123, 171, 223, 441, 525, 2583, 71, 1, 3, 7, 9, 5, 3, 3,
    205, 119, 631, 1997, 3105, 6483, 1, 1, 7, 7, 23, 37, 79, 245, 401, 241,
    1471, 2941, 4389, 1, 3, 1, 13, 25, 7, 43, 215, 155, 805, 1497, 387, 2045,
    1, 1, 3, 3, 7, 37, 115, 39, 139, 555, 1325, 2351, 6045, 1, 1, 5,
    7, 3, 53, 35, 103, 505, 361, 457, 2495, 1325, 1, 3, 7, 13, 21, 33,
    39, 81, 465, 601, 1131, 2977, 1409, 1, 1, 5, 5, 25, 1, 21, 241, 255,
    663, 1509, 2455, 5705, 1, 1, 7, 13, 1, 47, 91, 195, 195, 503, 1931, 1681,
    5131, 1, 1, 3, 9, 27, 37, 103, 21, 237, 677, 1949, 357, 2781, 1, 3,
    7, 9, 29, 51, 107, 49, 251, 433, 1235, 4041, 2971, 1, 3, 3, 1, 19,
    37, 113, 75, 365, 145, 93, 1185, 1871, 1, 1, 5, 5, 25, 15, 113, 239,
    27, 321, 1351, 1441, 3333, 1, 1, 5, 13, 31, 35, 103, 83, 111, 573, 59,
    3753, 5667, 1, 1, 5, 13, 1, 43, 75, 115, 397, 187, 1669, 3837, 5219, 1,
    1, 3, 1, 23, 13, 65, 145, 271, 909, 1517, 1659, 7975, 1, 1, 7, 15,
    21, 23, 1, 33, 37, 313, 687, 2375, 555, 1, 1, 7, 13, 1, 35, 11,
    157, 295, 403, 1295, 3301, 4805, 1, 3, 1, 13, 9, 27, 3, 111, 133, 395,
    981, 2399, 7009, 1, 1, 7, 15, 23, 11, 75, 31, 5, 599, 1589, 2243, 3263,
    1, 1, 3, 9, 7, 49, 31, 5, 457, 93, 221, 2463, 2287, 1, 1, 5,
    3, 9, 31, 49, 5, 481, 145, 53, 2477, 5569, 1, 1, 1, 1, 19, 47,
    59, 83, 19, 887, 335, 2305, 6265, 1, 3, 7, 15, 27, 15, 93, 37, 213,
    17, 311, 3159, 6911, 1, 1, 3, 9, 19, 47, 93, 31, 489, 731, 1905, 1675,
    1, 1, 1, 1, 7, 9, 3, 17, 185, 203, 963, 521, 2797, 7511, 1, 3,
    7, 11, 31, 27, 47, 147, 467, 505, 1991, 2247, 4207, 1, 3, 1, 5, 9,
    11, 89, 199, 359, 723, 1203, 1511, 7915, 1, 3, 5, 9, 27, 63, 93, 19,
    305, 641, 997, 1725, 5681, 1, 3, 3, 3, 13, 19, 9, 43, 99, 111, 1353,
    935, 7765, 1, 3, 1, 9, 5, 39, 109, 79, 497, 351, 1345, 3019, 5909, 1,
    1, 3, 1, 13, 29, 11, 199, 31, 443, 1587, 3397, 7045, 1, 1, 1, 11,
    7, 9, 49, 107, 153, 207, 887, 2135, 1389, 1, 1, 1, 3, 29, 53, 111,
    143, 421, 521, 1099, 1709, 7027, 1, 1, 5, 5, 5, 19, 127, 99, 501, 819,
    1729, 1701, 5829, 1, 3, 7, 5, 7, 15, 43, 49, 223, 793, 889, 793, 271,
    1, 3, 5, 11, 27, 27, 55, 69, 185, 511, 951, 2821, 5357, 1, 3, 7,
    13, 17, 19, 31, 9, 401, 397, 829, 1063, 693, 1, 1, 7, 9, 21, 13,
    75, 13, 327, 929, 955, 1421, 2809, 1, 1, 3, 15, 17, 5, 115, 231, 29,
    23, 1743, 779, 5083, 1, 1, 7, 11, 9, 51, 93, 3, 155, 111, 243, 3889,
    6733, 1, 1, 5, 9, 29, 63, 119, 145, 391, 1021, 503, 555, 4657, 1, 1,
    1, 15, 15, 41, 69, 131, 365, 195, 1809, 2773, 4067, 1, 1, 1, 15, 5,
    3, 119, 63, 243, 759, 2037, 3443, 5771, 1, 3, 5, 5, 1, 1, 21, 163,
    481, 781, 769, 3031, 2707, 1, 1, 5, 7, 15, 29, 3, 119, 13, 977, 1759,
    2327, 3961, 1, 1, 3, 1, 9, 25, 55, 131, 335, 289, 1049, 3589, 3131, 1,
    1, 7, 1, 27, 55, 113, 97, 249, 817, 1497, 3773, 6183, 1, 3, 3, 7,
    3, 15, 11, 157, 201, 145, 1741, 721, 4945, 1, 1, 7, 3, 19, 9, 123,
    151, 169, 841, 65, 2463, 5357, 1, 3, 1, 11, 5, 31, 123, 69, 93, 541,
    131, 1469, 5791, 1, 3, 5, 1, 25, 23, 115, 69, 333, 457, 17, 1155, 523,
    1, 3, 5, 11, 11, 51, 21, 145, 209, 557, 1109, 2293, 4631, 1, 1, 7,
    5, 11, 21, 107, 41, 409, 485, 1745, 3471, 1699, 1, 1, 3, 7, 5, 47,
    65, 79, 299, 191, 381, 3803, 6499, 1, 3, 3, 7, 19, 11, 73, 69, 461,
    777, 1871, 47, 1281, 1, 3, 5, 7, 13, 39, 63, 103, 103, 845, 1023, 3241,
    1291, 1, 1, 5, 13, 3, 11, 103, 135, 403, 801, 847, 371, 6243, 1, 3,
    1, 5, 21, 57, 19, 205, 33, 399, 777, 2981, 2365, 1, 1, 1, 5, 17,
    11, 105, 23, 243, 581, 1391, 1509, 8009, 1, 3, 3, 3, 11, 13, 85, 107,
    181, 89, 1323, 3059, 5097, 1, 1, 1, 15, 1, 29, 57, 221, 389, 127, 841,
    1727, 6217, 1, 3, 1, 9, 25, 51, 89, 67, 257, 921, 621, 1523, 3449, 1,
    3, 5, 5, 25, 15, 25, 47, 29, 775, 1925, 3819, 8063, 1, 1, 1, 5,
    25, 55, 89, 75, 47, 135, 1155, 1923, 2241, 1, 3, 5, 9, 29, 5, 55,
    43, 355, 879, 127, 3565, 2583, 1, 1, 3, 13, 23, 47, 27, 63, 217, 119,
    357, 423, 5897, 1, 3, 5, 1, 23, 1, 89, 255, 381, 175, 1069, 3809, 1743,
    1, 1, 7, 3, 7, 35, 47, 159, 347, 543, 187, 1103, 5019, 1, 1, 1,
    7, 19, 3, 89, 15, 487, 541, 625, 1711, 3713, 1, 1, 5, 15, 17, 61,
    13, 45, 359, 107, 1487, 121, 6919, 1, 3, 3, 3, 1, 5, 99, 255, 147,
    737, 1675, 4069, 7685, 1, 3, 7, 1, 5, 33, 39, 217, 255, 833, 661, 3411,
    7273, 1, 3, 3, 5, 9, 41, 25, 223, 319, 45, 687, 3861, 2603, 1, 1,
    3, 15, 15, 43, 61, 163, 45, 835, 545, 561, 4895, 1, 3, 7, 3, 21,
    61, 65, 119, 337, 609, 1185, 2863, 1431, 1, 1, 3, 3, 29, 49, 51, 173,
    107, 21, 1655, 1333, 4703, 1, 3, 1, 3, 27, 23, 111, 77, 3, 789, 943,
    3089, 2865, 1, 3, 1, 1, 5, 7, 85, 209, 317, 241, 1159, 2193, 229, 1,
    1, 3, 13, 23, 27, 115, 111, 265, 427, 1457, 2281, 2235, 1, 3, 1, 13,
    5, 51, 21, 125, 335, 359, 1189, 1095, 6843, 1, 3, 5, 7, 5, 17, 93,
    43, 297, 109, 1721, 3991, 6861, 1, 3, 7, 7, 23, 45, 61, 149, 89, 1009,
    937, 2477, 1617, 1, 1, 3, 1, 23, 19, 21, 29, 481, 771, 261, 2377, 2323,
    1, 1, 3, 7, 29, 21, 99, 159, 219, 983, 1169, 667, 3073, 1, 3, 5,
    9, 7, 61, 69, 197, 29, 3, 1767, 2113, 689, 1, 1, 3, 7, 9, 37,
    45, 11, 405, 243, 661, 2545, 5185, 1, 1, 7, 3, 7, 23, 13, 193, 91,
    551, 1963, 2663, 7605, 1, 1, 1, 1, 27, 17, 79, 251, 103, 33, 45, 2517,
    3611, 1, 3, 3, 1, 19, 57, 15, 175, 77, 299, 1805, 3331, 1365, 1, 1,
    3, 5, 31, 59, 51, 85, 359, 197, 679, 3017, 7929, 1, 3, 7, 13, 15,
    19, 71, 31, 69, 353, 489, 1167, 337, 1, 1, 3, 13, 5, 33, 35, 33,
    345, 63, 1775, 3475, 1375, 1, 1, 3, 1, 29, 53, 109, 3, 191, 1011, 1043,
    3057, 4757, 1, 1, 5, 11, 3, 21, 101, 137, 155, 959, 683, 1407, 1239, 1,
    3, 5, 13, 3, 9, 117, 81, 143, 753, 561, 871, 2417, 1, 1, 7, 7,
    25, 11, 33, 173, 321, 487, 33, 551, 6613, 1, 3, 5, 7, 3, 29, 9,
    133, 251, 561, 975, 3153, 1115, 1, 3, 5, 3, 1, 11, 89, 145, 33, 967,
    365, 3661, 2917, 1, 3, 7, 5, 21, 55, 49, 139, 507, 405, 99, 2819, 6541,
    1, 1, 7, 1, 13, 41, 77, 53, 185, 995, 2045, 1659, 1081, 1, 3, 1,
    3, 5, 29, 25, 111, 173, 793, 953, 2825, 673, 1, 3, 1, 3, 13, 3,
    73, 39, 143, 603, 253, 2879, 3827, 1, 3, 1, 11, 3, 35, 93, 237, 401,
    1005, 1047, 3065, 6285, 1, 3, 1, 13, 7, 7, 17, 65, 107, 971, 999, 623,
    6491, 1, 3, 3, 11, 31, 1, 83, 111, 255, 969, 871, 3459, 2419, 1, 3,
    1, 7, 3, 49, 99, 27, 253, 937, 1237, 343, 6133, 1, 1, 5, 11, 31,
    7, 83, 75, 77, 583, 847, 2263, 1925, 1, 1, 3, 11, 3, 37, 119, 229,
    411, 953, 1087, 3005, 1521, 1, 3, 7, 13, 5, 53, 125, 207, 297, 465, 1989,
    1769, 5113, 1, 3, 5, 11, 13, 13, 9, 105, 303, 641, 997, 929, 393, 1,
    3, 5, 9, 21, 21, 125, 49, 509, 993, 317, 2367, 2775, 1, 3, 3, 9,
    15, 1, 91, 101, 339, 625, 1521, 2285, 1847, 1, 1, 5, 15, 15, 31, 57,
    253, 407, 715, 1143, 3707, 5105, 1, 3, 1, 5, 21, 1, 77, 139, 499, 777,
    349, 1647, 1389, 1, 3, 5, 5, 11, 55, 29, 209, 491, 823, 1961, 3833, 5825,
    1, 1, 7, 11, 3, 21, 43, 147, 83, 245, 139, 3585, 975, 1, 1, 1,
    3, 19, 9, 19, 251, 163, 85, 239, 2573, 1079, 1, 1, 5, 13, 27, 35,
    27, 191, 279, 589, 1737, 2759, 1691, 1, 1, 7, 3, 17, 5, 47, 173, 183,
    713, 667, 3683, 2167, 1, 3, 5, 13, 25, 41, 29, 125, 173, 325, 1341, 481,
    365, 1, 3, 1, 5, 27, 61, 23, 11, 265, 255, 801, 921, 7145, 1, 3,
    5, 5, 27, 49, 27, 245, 253, 787, 1451, 2349, 2125, 1, 1, 7, 7, 13,
    31, 61, 215, 339, 315, 377, 1121, 2667, 1, 3, 5, 9, 31, 63, 27, 115,
    367, 939, 437, 1771, 1219, 1, 1, 3, 5, 3, 7, 33, 147, 177, 249, 649,
    2505, 4705, 1, 3, 1, 9, 11, 31, 23, 237, 223, 311, 493, 1255, 2121, 1,
    3, 5, 7, 5, 43, 51, 1, 425, 115, 1487, 373, 3765, 1, 3, 3, 9,
    3, 11, 125, 31, 375, 73, 673, 1933, 7763, 1, 1, 3, 7, 31, 43, 67,
    177, 33, 693, 185, 137, 4869, 1, 1, 1, 9, 21, 53, 111, 41, 249, 845,
    193, 2519, 4745, 1, 3, 5, 3, 11, 15, 11, 249, 325, 561, 411, 71, 6973,
    1, 1, 7, 5, 5, 13, 31, 113, 149, 475, 869, 627, 2789, 1, 1, 1,
    5, 7, 23, 49, 65, 201, 111, 1061, 393, 2101, 1, 1, 3, 5, 23, 47,
    49, 111, 315, 227, 1985, 3579, 875, 1, 3, 5, 5, 21, 17, 101, 135, 475,
    505, 51, 3203, 1735, 1, 1, 7, 15, 19, 41, 53, 197, 117, 315, 1663, 143,
    1081, 1, 1, 3, 7, 5, 29, 87, 39, 235, 675, 1101, 1257, 4045, 1, 3,
    5, 15, 25, 49, 63, 125, 447, 181, 357, 3017, 6861, 1, 1, 5, 15, 31,
    21, 61, 197, 133, 85, 913, 3031, 855, 1, 1, 5, 7, 31, 45, 111, 243,
    277, 569, 1311, 125, 3417, 1, 1, 3, 11, 9, 49, 127, 151, 407, 407, 915,
    1831, 4093, 1, 3, 5, 11, 3, 47, 69, 97, 315, 993, 845, 67, 39, 1,
    3, 3, 11, 1, 5, 105, 115, 293, 187, 1369, 3039, 6833, 1, 3, 3, 15,
    23, 19, 15, 59, 139, 523, 1599, 1773, 8059, 1, 1, 1, 13, 3, 9, 39,
    205, 115, 35, 1737, 2713, 3263, 1, 1, 3, 7, 11, 41, 71, 61, 329, 11,
    1069, 2565, 6359, 1, 3, 7, 9, 1, 57, 5, 17, 117, 37, 827, 3449, 1297,
    1, 1, 5, 1, 29, 49, 3, 7, 145, 183, 1777, 2351, 6675, 1, 1, 5,
    7, 5, 57, 97, 61, 197, 713, 695, 2385, 1917, 1, 3, 1, 11, 21, 49,
    41, 133, 307, 473, 1983, 3693, 3241, 1, 1, 5, 1, 3, 59, 47, 141, 49,
    531, 1237, 3085, 5651, 1, 1, 5, 1, 17, 21, 3, 101, 169, 475, 473, 255,
    6637, 1, 3, 5, 1, 19, 25, 71, 251, 327, 715, 1945, 1123, 4911, 1, 1,
    5, 3, 15, 55, 127, 221, 163, 281, 1391, 4083, 7995, 1, 1, 3, 9, 27,
    7, 65, 143, 433, 599, 1971, 2169, 813, 1, 3, 3, 1, 9, 49, 107, 103,
    381, 1005, 705, 2385, 5007, 1, 3, 5, 7, 15, 45, 41, 175, 137, 1019, 1869,
    2337, 3433, 1, 3, 7, 15, 15, 51, 89, 193, 325, 391, 197, 2607, 6717, 1,
    3, 7, 1, 15, 11, 113, 245, 255, 481, 237, 3205, 4551, 1, 3, 3, 1,
    11, 19, 93, 97, 67, 793, 1165, 989, 4643, 1, 1, 1, 15, 17, 51, 63,
    37, 353, 745, 1439, 2599, 2771, 1, 1, 7, 9, 7, 3, 87, 245, 257, 399,
    311, 3063, 3801, 1, 1, 5, 11, 13, 3, 83, 39, 165, 827, 1581, 2491, 2067,
    1, 3, 3, 3, 21, 3, 21, 95, 505, 971, 1599, 2479, 4155, 1, 3, 1,
    11, 11, 57, 115, 83, 473, 457, 2015, 1855, 1851, 1, 3, 7, 11, 29, 7,
    73, 203, 445, 771, 1225, 3587, 245, 1, 3, 5, 1, 13, 53, 79, 245, 347,
    277, 779, 653, 6213, 7661, 1, 3, 5, 3, 17, 43, 31, 251, 177, 337, 157,
    3171, 3813, 7787, 1, 3, 5, 9, 23, 9, 7, 45, 65, 517, 1449, 1943, 4995,
    2403, 1, 3, 3, 9, 19, 45, 71, 91, 491, 113, 1041, 717, 681, 13331, 1,
    3, 5, 9, 15, 35, 19, 25, 119, 677, 1355, 3065, 6325, 7821, 1, 3, 7,
    5, 27, 63, 41, 117, 271, 327, 1731, 3501, 4489, 11119, 1, 1, 3, 5, 11,
    35, 51, 79, 347, 905, 857, 3647, 4773, 15111, 1, 3, 7, 3, 21, 3, 19,
    147, 429, 275, 1813, 1937, 4489, 7993, 1, 3, 7, 9, 27, 59, 77, 179, 209,
    897, 807, 1121, 7575, 9769, 1, 3, 3, 9, 15, 39, 81, 183, 213, 419, 125,
    1943, 5621, 9073, 1, 3, 1, 7, 11, 41, 111, 169, 31, 807, 1277, 3293, 3233,
    409, 1, 1, 3, 11, 31, 11, 39, 69, 429, 185, 1523, 469, 5453, 12453, 1,
    1, 5, 13, 15, 59, 5, 179, 457, 803, 1503, 633, 7591, 8861, 1, 3, 5,
    13, 19, 47, 15, 37, 271, 361, 1403, 2043, 6671, 4171, 1, 3, 3, 15, 3,
    37, 107, 29, 505, 465, 955, 2431, 5899, 11363, 1, 1, 3, 9, 11, 49, 71,
    191, 197, 365, 757, 309, 3881, 9427, 1, 1, 7, 13, 11, 9, 3, 109, 403,
    403, 867, 325, 329, 13675, 1, 3, 3, 7, 13, 61, 33, 125, 431, 797, 565,
    4065, 6375, 10343, 1, 1, 1, 1, 23, 59, 45, 103, 231, 829, 1197, 1547, 2319,
    13541, 1, 1, 7, 13, 17, 59, 119, 51, 305, 153, 571, 1323, 6427, 12291, 1,
    3, 3, 9, 21, 17, 27, 223, 311, 1015, 1925, 1497, 6407, 15517, 1, 3, 1,
    15, 13, 63, 99, 163, 35, 583, 787, 2679, 4991, 5933, 1, 1, 3, 7, 31,
    43, 77, 141, 153, 455, 745, 1377, 7363, 7301, 1, 1, 3, 15, 23, 49, 1,
    149, 393, 483, 1577, 1885, 7483, 9769, 1, 1, 7, 11, 23, 5, 103, 143, 35,
    899, 2001, 2643, 2533, 7827, 1, 3, 5, 5, 13, 49, 121, 113, 75, 271, 1111,
    535, 1255, 6977, 1, 1, 1, 3, 25, 53, 11, 151, 107, 985, 1933, 2791, 4101,
    14515, 1, 3, 1, 7, 29, 39, 73, 103, 139, 65, 573, 3909, 2645, 9603, 1,
    3, 7, 9, 3, 31, 45, 79, 195, 749, 65, 4041, 3915, 3137, 1, 3, 3,
    13, 5, 37, 87, 211, 61, 237, 1903, 755, 4077, 14791, 1, 1, 7, 5, 3,
    63, 63, 45, 357, 887, 1511, 2503, 6669, 3163, 1, 3, 1, 5, 17, 29, 113,
    117, 487, 369, 1337, 3129, 3517, 2107, 1, 1, 7, 1, 7, 13, 15, 203, 421,
    267, 1049, 1645, 2047, 11733, 1, 1, 1, 5, 17, 27, 5, 101, 109, 651, 601,
    673, 67, 8539, 1, 1, 5, 13, 9, 53, 85, 165, 197, 979, 925, 419, 4631,
    15269, 1, 3, 7, 15, 5, 5, 61, 205, 257, 279, 81, 4059, 2375, 12821, 1,
    3, 1, 11, 27, 41, 39, 41, 75, 1017, 529, 2709, 3385, 3879, 1, 3, 1,
    13, 25, 63, 125, 137, 27, 839, 617, 2129, 711, 3955, 1, 3, 5, 5, 27,
    19, 27, 51, 369, 593, 605, 2471, 6995, 5957, 1, 3, 3, 5, 9, 11, 63,
    157, 447, 713, 1145, 2013, 3061, 13763, 1, 1, 5, 1, 15, 51, 49, 185, 337,
    109, 1335, 841, 7005, 8969, 1, 1, 5, 15, 17, 25, 31, 135, 43, 469, 1895,
    3369, 6981, 8515, 1, 1, 5, 9, 21, 11, 117, 79, 39, 63, 1355, 2309, 4409,
    6463, 1, 3, 3, 15, 11, 55, 55, 75, 251, 209, 1715, 697, 2199, 2155, 1,
    3, 5, 13, 31, 29, 55, 23, 391, 1011, 1701, 787, 8165, 1315, 1, 1, 7,
    7, 23, 55, 125, 15, 77, 107, 2043, 1501, 727, 13693, 1, 1, 7, 7, 27,
    37, 47, 247, 227, 595, 175, 3459, 395, 9903, 1, 3, 5, 9, 7, 7, 61,
    81, 405, 117, 51, 3715, 2757, 2797, 1, 1, 1, 15, 15, 25, 9, 109, 497,
    395, 777, 1187, 7451, 15959, 1, 3, 3, 7, 7, 23, 69, 27, 97, 145, 1165,
    993, 235, 1785, 1, 1, 3, 15, 17, 49, 73, 27, 223, 83, 295, 1425, 4817,
    7325, 1, 3, 7, 5, 25, 13, 69, 119, 483, 635, 1105, 2547, 457, 5607, 1,
    1, 7, 9, 13, 29, 69, 7, 223, 95, 1255, 459, 4633, 12609, 1, 1, 1,
    1, 15, 57, 105, 161, 429, 615, 201, 2601, 3169, 3163, 1, 3, 3, 1, 5,
    5, 127, 129, 457, 59, 459, 3731, 2069, 9147, 1, 1, 1, 7, 25, 45, 101,
    111, 119, 739, 157, 3967, 6427, 2845, 1, 3, 1, 9, 15, 15, 105, 147, 119,
    815, 1263, 2201, 5413, 15255, 1, 3, 1, 5, 15, 47, 87, 131, 451, 805, 1043,
    2917, 5495, 5103, 1, 1, 3, 11, 29, 35, 33, 135, 509, 425, 723, 1947, 7237,
    8941, 1, 1, 3, 7, 5, 39, 83, 83, 353, 685, 195, 385, 2431, 8753, 1,
    3, 3, 7, 25, 45, 3, 129, 413, 1005, 625, 3503, 5473, 3577, 1, 1, 3,
    13, 7, 37, 29, 163, 397, 671, 1043, 3581, 465, 9521, 1, 1, 3, 5, 31,
    21, 111, 95, 385, 787, 1205, 795, 4779, 11421, 1, 1, 1, 3, 25, 15, 51,
    149, 423, 907, 863, 1535, 5809, 1069, 1, 3, 5, 5, 19, 57, 51, 49, 39,
    349, 1453, 3091, 4861, 8771, 1, 1, 5, 15, 1, 45, 93, 85, 511, 607, 793,
    1023, 1525, 535, 1, 3, 3, 11, 7, 53, 83, 139, 173, 947, 1381, 433, 5821,
    4173, 1, 3, 5, 9, 27, 17, 17, 237, 427, 295, 929, 1539, 2373, 6671, 1,
    1, 1, 1, 9, 53, 87, 129, 443, 729, 1067, 359, 789, 7637, 1, 1, 1,
    7, 7, 23, 71, 115, 343, 207, 889, 3561, 475, 3437, 1, 3, 5, 9, 17,
    31, 85, 135, 155, 269, 575, 537, 5305, 979, 1, 3, 1, 5, 19, 41, 61,
    103, 49, 93, 733, 1791, 3577, 1763, 1, 1, 3, 3, 27, 23, 3, 143, 341,
    847, 1859, 995, 5277, 5025, 1, 3, 5, 13, 7, 29, 37, 201, 359, 255, 1543,
    3735, 1217, 7251, 1, 1, 7, 9, 27, 45, 15, 187, 181, 571, 1345, 1473, 519,
    7499, 1, 1, 7, 7, 11, 11, 75, 179, 455, 495, 283, 2995, 1515, 5497, 1,
    1, 7, 3, 11, 19, 91, 165, 175, 967, 1719, 739, 103, 15259, 1, 3, 3,
    9, 7, 5, 121, 65, 83, 687, 837, 2303, 1953, 15419, 1, 3, 1, 13, 31,
    39, 43, 69, 129, 815, 1419, 3179, 595, 14471, 1, 1, 5, 9, 9, 33, 75,
    141, 271, 259, 91, 553, 7521, 9591, 1, 1, 5, 1, 27, 55, 125, 41, 103,
    161, 9, 1339, 3205, 973, 1, 1, 3, 3, 13, 15, 93, 179, 435, 667, 1365,
    169, 4685, 16175, 1, 1, 5, 9, 17, 55, 45, 237, 291, 837, 1019, 2983, 1679,
    13583, 1, 3, 1, 3, 3, 37, 37, 239, 265, 117, 1239, 529, 4855, 11423, 1,
    3, 5, 3, 11, 11, 121, 81, 55, 35, 1551, 775, 6973, 13525, 1, 3, 3,
    11, 15, 19, 49, 117, 269, 147, 1891, 2975, 1779, 9327, 1, 1, 1, 7, 9,
    39, 111, 131, 179, 629, 1807, 3327, 1535, 2845, 1, 3, 7, 13, 11, 59, 125,
    41, 13, 637, 1679, 487, 4655, 8045, 1, 1, 3, 7, 17, 15, 63, 105, 271,
    205, 283, 3427, 1921, 12729, 1, 1, 3, 5, 13, 57, 23, 141, 261, 829, 1149,
    945, 4191, 13277, 1, 1, 5, 7, 13, 59, 79, 221, 473, 803, 2027, 437, 7823,
    14225, 1, 3, 3, 9, 15, 21, 53, 69, 13, 479, 193, 1031, 4911, 12011, 1,
    1, 5, 7, 25, 7, 99, 81, 21, 247, 1019, 2537, 3647, 8211, 1, 3, 7,
    15, 27, 47, 105, 141, 49, 65, 525, 1717, 1339, 9079, 1, 1, 7, 3, 27,
    1, 31, 135, 175, 997, 1517, 1139, 7975, 14941, 1, 1, 1, 5, 9, 5, 77,
    175, 333, 975, 873, 523, 2967, 9463, 1, 3, 5, 9, 5, 61, 17, 141, 405,
    591, 711, 1077, 2875, 8827, 1, 3, 1, 11, 9, 13, 29, 9, 443, 717, 2019,
    1031, 6459, 6673, 1, 1, 3, 5, 7, 51, 45, 163, 113, 705, 1411, 3861, 527,
    6119, 1, 1, 1, 5, 9, 43, 57, 79, 221, 131, 1543, 2243, 5277, 6249, 1,
    1, 1, 7, 15, 63, 89, 11, 211, 245, 89, 219, 241, 545, 1, 3, 3,
    7, 31, 21, 97, 43, 457, 941, 363, 3275, 4731, 3167, 1, 1, 7, 9, 31,
    45, 15, 119, 283, 645, 1239, 3835, 5317, 4643, 1, 1, 5, 3, 23, 31, 49,
    67, 487, 935, 1899, 2545, 8135, 12609, 1, 3, 7, 9, 21, 63, 15, 233, 463,
    763, 327, 2585, 4399, 14643, 1, 1, 7, 9, 13, 5, 95, 11, 239, 507, 955,
    569, 6443, 3009, 1, 3, 5, 9, 31, 27, 99, 251, 487, 383, 1117, 2231, 6541,
    10409, 1, 3, 3, 15, 23, 37, 81, 149, 127, 341, 1749, 207, 2257, 2659, 1,
    1, 7, 9, 15, 7, 59, 63, 187, 719, 1295, 3509, 2293, 4959, 1, 1, 5,
    13, 3, 49, 27, 17, 261, 463, 1719, 793, 4365, 4041, 1, 3, 3, 7, 7,
    37, 19, 133, 197, 789, 383, 1005, 7353, 2431, 1, 1, 1, 13, 21, 11, 27,
    247, 309, 103, 1707, 2555, 2731, 11755, 1, 3, 1, 15, 13, 45, 119, 233, 387,
    781, 851, 3207, 5251, 9741, 1, 3, 7, 15, 3, 17, 13, 217, 245, 267, 55,
    3065, 3733, 2577, 1, 1, 7, 13, 11, 25, 7, 219, 209, 295, 1725, 359, 5489,
    1057, 1, 3, 1, 3, 7, 1, 93, 33, 485, 977, 1113, 3049, 7015, 14275, 1,
    3, 3, 13, 15, 9, 115, 113, 221, 1, 875, 1485, 3523, 6817, 1, 1, 5,
    15, 3, 41, 113, 5, 7, 1023, 349, 1901, 1223, 11355, 1, 3, 7, 13, 27,
    59, 113, 123, 81, 795, 803, 955, 7101, 7715, 1, 1, 1, 15, 15, 19, 123,
    183, 341, 9, 943, 549, 1261, 8305, 1, 1, 3, 5, 25, 45, 109, 239, 399,
    405, 1859, 3721, 2023, 12543, 1, 3, 1, 11, 11, 51, 119, 83, 189, 119, 51,
    3601, 1589, 3821, 1, 3, 3, 3, 9, 41, 13, 91, 329, 625, 1837, 2539, 5603,
    2135, 1, 3, 5, 7, 5, 59, 125, 133, 321, 759, 237, 3299, 4663, 15767, 1,
    1, 7, 7, 29, 3, 45, 37, 69, 437, 1321, 3545, 373, 3349, 1, 1, 1,
    13, 13, 47, 87, 33, 93, 639, 673, 1675, 5997, 9049, 1, 3, 1, 3, 31,
    27, 33, 175, 71, 509, 229, 2959, 7929, 7551, 1, 1, 3, 7, 17, 41, 101,
    119, 51, 297, 595, 41, 7919, 6173, 1, 3, 5, 11, 11, 63, 17, 177, 349,
    327, 531, 783, 4025, 3367, 1, 3, 1, 13, 11, 31, 97, 137, 117, 981, 3,
    2873, 6399, 5055, 1, 3, 7, 11, 9, 63, 53, 237, 255, 161, 1709, 3591, 2569,
    8687, 1, 3, 3, 11, 23, 9, 97, 143, 403, 597, 1651, 933, 1351, 3675, 1,
    1, 1, 9, 23, 11, 93, 103, 245, 797, 723, 4029, 4313, 14217, 1, 1, 1,
    3, 13, 51, 77, 237, 109, 933, 449, 429, 6991, 13475, 1, 3, 1, 1, 29,
    63, 65, 63, 129, 693, 1441, 3877, 3015, 7817, 1, 1, 7, 3, 7, 57, 63,
    129, 15, 257, 739, 3395, 1473, 12735, 1, 1, 1, 9, 23, 21, 123, 81, 297,
    899, 1719, 3523, 4895, 12503, 1, 1, 3, 1, 9, 3, 61, 7, 251, 1003, 289,
    1321, 7041, 6811, 1, 3, 5, 9, 3, 9, 87, 13, 363, 713, 673, 717, 1449,
    6869, 1, 1, 3, 9, 25, 53, 115, 111, 499, 425, 1037, 3751, 5767, 10047, 1,
    3, 7, 11, 23, 43, 75, 101, 105, 115, 887, 3747, 149, 5513, 1, 3, 1,
    9, 7, 43, 125, 63, 3, 365, 1345, 821, 731, 14007, 1, 3, 1, 7, 29,
    49, 55, 37, 343, 481, 1319, 1167, 4835, 10549, 1, 1, 7, 13, 11, 33, 123,
    91, 301, 765, 1037, 2935, 1213, 10141, 1, 1, 7, 1, 21, 55, 57, 79, 187,
    977, 297, 63, 3431, 10597, 1, 3, 5, 9, 5, 25, 33, 25, 477, 105, 1757,
    2051, 1263, 15421, 1, 3, 5, 11, 5, 39, 63, 209, 223, 497, 785, 2127, 4293,
    7583, 1, 1, 5, 3, 9, 23, 107, 125, 319, 143, 947, 1135, 4391, 6297, 1,
    3, 7, 15, 19, 21, 103, 161, 5, 739, 1537, 2697, 1827, 8287, 1, 1, 7,
    3, 29, 37, 117, 199, 35, 683, 1539, 2915, 8129, 14785, 1, 3, 1, 3, 7,
    35, 39, 181, 111, 165, 1919, 1583, 4219, 179, 1, 3, 3, 11, 15, 5, 13,
    123, 93, 615, 1811, 3235, 4533, 2423, 1, 1, 1, 15, 25, 17, 21, 37, 5,
    413, 1681, 2297, 5571, 6037, 1, 1, 1, 9, 27, 21, 7, 139, 235, 163, 1809,
    783, 507, 8867, 1, 3, 7, 9, 23, 57, 1, 55, 311, 687, 1987, 463, 5639,
    4795, 1, 1, 7, 9, 11, 55, 31, 77, 277, 447, 799, 993, 489, 3539, 1,
    1, 1, 5, 27, 19, 23, 207, 11, 81, 1539, 1051, 1155, 11475, 1, 1, 5,
    1, 23, 63, 23, 247, 261, 789, 1305, 3003, 1033, 1883, 1, 1, 5, 15, 1,
    35, 1, 147, 51, 513, 35, 3285, 7461, 13733, 1, 1, 1, 5, 29, 25, 107,
    91, 355, 213, 203, 2371, 1383, 14285, 1, 3, 7, 13, 11, 35, 109, 171, 229,
    209, 375, 2911, 1943, 7037, 1, 1, 5, 11, 21, 39, 113, 5, 167, 769, 2047,
    3083, 7421, 14085, 1, 3, 7, 13, 13, 27, 83, 67, 171, 671, 1675, 2473, 3241,
    15283, 1, 1, 1, 7, 5, 27, 23, 171, 443, 243, 217, 3349, 1919, 2345, 1,
    1, 1, 11, 7, 1, 41, 25, 47, 835, 1071, 3091, 6133, 7249, 1, 1, 7,
    15, 27, 41, 3, 153, 479, 447, 1457, 2267, 3781, 9851, 1, 1, 7, 7, 25,
    1, 125, 129, 231, 505, 1709, 3117, 6069, 3103, 1, 3, 3, 13, 9, 53, 73,
    93, 185, 1007, 1883, 3087, 7453, 13335, 1, 1, 1, 5, 7, 51, 65, 189, 397,
    73, 377, 2593, 6703, 16145, 1, 1, 7, 3, 17, 55, 93, 251, 29, 937, 223,
    721, 3275, 11881, 1, 3, 7, 1, 1, 45, 99, 117, 279, 87, 2015, 3681, 5625,
    5191, 1, 3, 7, 9, 7, 63, 23, 83, 277, 959, 693, 3945, 4551, 13711, 1,
    3, 1, 1, 23, 57, 127, 7, 323, 545, 1909, 2399, 4483, 12165, 1, 3, 1,
    7, 23, 37, 39, 213, 45, 949, 661, 397, 189, 2835, 1, 1, 1, 11, 17,
    11, 97, 141, 389, 137, 907, 3939, 1205, 9751, 1, 1, 5, 9, 25, 45, 53,
    101, 43, 503, 777, 1327, 8127, 1977, 1, 3, 1, 5, 19, 15, 71, 193, 443,
    817, 1507, 291, 3781, 5841, 1, 3, 3, 1, 25, 41, 121, 17, 471, 357, 1193,
    3079, 2025, 773, 1, 1, 3, 9, 5, 31, 123, 35, 103, 439, 1199, 1887, 6923,
    9439, 1, 3, 1, 5, 7, 35, 1, 151, 467, 573, 517, 3681, 4563, 3143, 1,
    3, 1, 7, 19, 61, 43, 57, 217, 113, 1045, 3773, 1197, 14627, 1, 3, 7,
    11, 7, 51, 71, 31, 71, 143, 319, 2979, 849, 14403, 1, 1, 1, 15, 17,
    25, 119, 253, 13, 959, 1217, 261, 2853, 10449, 1, 3, 7, 15, 23, 19, 71,
    205, 63, 915, 317, 1637, 1963, 10047, 1, 1, 5, 9, 21, 57, 119, 223, 169,
    87, 593, 2871, 1201, 4531, 1, 3, 5, 3, 7, 11, 25, 129, 469, 199, 323,
    4021, 2983, 1459, 1, 3, 1, 1, 7, 39, 41, 75, 75, 113, 985, 3353, 5393,
    7055, 1, 3, 3, 11, 19, 55, 37, 235, 221, 197, 1041, 3447, 8045, 801, 1,
    1, 7, 7, 9, 19, 3, 221, 265, 963, 1815, 469, 2929, 10711, 1, 3, 1,
    5, 27, 11, 59, 57, 91, 235, 1465, 825, 6429, 15537, 1, 1, 1, 1, 19,
    21, 47, 235, 223, 761, 173, 3793, 2197, 10919, 1, 3, 3, 9, 11, 61, 19,
    121, 51, 617, 441, 1889, 6225, 3317, 1, 3, 1, 7, 25, 27, 65, 163, 165,
    7, 1303, 3275, 173, 6923, 1, 3, 1, 13, 23, 39, 35, 105, 267, 679, 1675,
    2837, 1213, 14985, 1, 1, 5, 1, 21, 39, 1, 229, 101, 421, 513, 571, 7195,
    9975, 1, 1, 1, 1, 13, 23, 97, 157, 1, 969, 2011, 295, 6775, 7397, 1,
    1, 5, 5, 15, 9, 63, 21, 435, 51, 1279, 1309, 4303, 15771, 1, 3, 1,
    3, 3, 43, 121, 59, 365, 437, 215, 2899, 761, 1369, 1, 1, 3, 7, 17,
    25, 29, 149, 291, 117, 247, 2779, 7379, 11671, 1, 3, 5, 15, 7, 3, 87,
    213, 467, 91, 145, 1241, 1557, 6427, 1, 1, 3, 9, 3, 51, 1, 61, 259,
    535, 399, 3101, 5781, 14635, 1, 3, 3, 11, 21, 17, 127, 117, 203, 825, 1481,
    3979, 3605, 10537, 1, 1, 5, 13, 15, 5, 119, 79, 439, 209, 1811, 3199, 7933,
    1677, 1, 1, 3, 15, 9, 9, 111, 103, 145, 839, 187, 2937, 6871, 10573, 1,
    3, 1, 9, 19, 7, 39, 37, 209, 83, 1143, 3767, 6013, 8829, 1, 1, 7,
    5, 31, 39, 97, 167, 323, 343, 999, 2179, 6683, 4079, 1, 1, 1, 7, 1,
    31, 5, 109, 391, 17, 1943, 2753, 3825, 327, 1, 1, 7, 9, 9, 19, 49,
    137, 421, 669, 829, 3261, 3995, 4347, 1, 3, 5, 3, 25, 43, 51, 97, 315,
    1021, 183, 87, 6465, 15415, 1, 3, 1, 1, 15, 61, 111, 249, 99, 1001, 791,
    869, 7017, 5943, 1, 3, 7, 3, 3, 7, 51, 127, 275, 683, 1055, 3727, 1273,
    3007, 1, 3, 1, 15, 19, 33, 113, 167, 473, 287, 233, 905, 2213, 12233, 1,
    3, 3, 7, 3, 45, 83, 107, 7, 651, 603, 2663, 5261, 15521, 1, 3, 3,
    9, 19, 49, 51, 81, 101, 23, 1345, 17, 4215, 7089, 1, 3, 5, 5, 7,
    7, 65, 221, 7, 513, 1567, 4041, 6339, 8665, 1, 1, 7, 9, 15, 61, 91,
    29, 85, 903, 1805, 1957, 63, 13941, 1, 1, 1, 1, 29, 19, 31, 21, 43,
    353, 1419, 3999, 6651, 1897, 1, 1, 3, 13, 31, 7, 65, 57, 25, 1015, 1969,
    1547, 4815, 4183, 1, 1, 7, 11, 25, 37, 91, 163, 287, 283, 1531, 149, 7799,
    15, 1, 3, 5, 7, 23, 25, 71, 7, 439, 645, 843, 315, 4577, 6703, 1,
    1, 5, 15, 13, 39, 57, 115, 91, 475, 2003, 3787, 4053, 13299, 1, 3, 3,
    7, 1, 53, 53, 83, 7, 133, 1523, 347, 3569, 6495, 1, 1, 7, 13, 15,
    53, 31, 153, 181, 465, 687, 3375, 3393, 565, 1, 3, 3, 3, 19, 21, 95,
    45, 399, 1, 213, 2003, 221, 11961, 1, 1, 5, 13, 27, 29, 35, 55, 239,
    999, 23, 2645, 5399, 865, 1, 1, 5, 11, 5, 3, 43, 217, 321, 159, 1611,
    495, 435, 6989, 1, 1, 5, 1, 27, 15, 29, 109, 385, 449, 651, 1551, 5983,
    12985, 1, 3, 5, 11, 27, 35, 11, 155, 279, 5, 389, 1157, 2401, 12485, 1,
    1, 3, 3, 7, 7, 3, 185, 469, 995, 271, 2315, 3269, 909, 1, 3, 5,
    3, 27, 31, 111, 47, 351, 17, 1321, 3973, 457, 15773, 1, 3, 1, 7, 19,
    59, 71, 215, 93, 235, 1985, 1149, 1887, 2963, 1, 3, 5, 3, 3, 3, 87,
    205, 187, 373, 1557, 311, 5807, 13343, 1, 1, 7, 13, 19, 17, 31, 113, 183,
    31, 1117, 3241, 4781, 15071, 1, 3, 5, 5, 3, 25, 33, 93, 473, 353, 1005,
    2385, 649, 5219, 1, 1, 3, 5, 25, 37, 39, 109, 511, 1005, 641, 3597, 7601,
    613, 1, 1, 7, 7, 3, 17, 69, 145, 147, 321, 849, 3057, 7299, 12343, 1,
    1, 3, 15, 11, 35, 19, 179, 337, 53, 679, 4009, 769, 2899, 1, 1, 7,
    11, 19, 47, 61, 11, 349, 769, 445, 2051, 5653, 7143, 1, 1, 3, 9, 3,
    39, 53, 193, 313, 299, 1579, 2237, 661, 6047, 1, 1, 7, 7, 29, 17, 9,
    225, 143, 285, 1169, 3109, 927, 5257, 1, 3, 7, 5, 5, 27, 107, 253, 439,
    1017, 253, 3437, 5435, 13479, 1, 3, 3, 1, 9, 61, 111, 75, 241, 451, 1361,
    2853, 5457, 15853, 1, 1, 1, 5, 15, 23, 21, 115, 505, 265, 131, 1277, 2545,
    8955, 1, 1, 1, 1, 17, 43, 3, 253, 315, 19, 787, 1477, 2529, 6527, 1,
    1, 1, 7, 17, 31, 87, 121, 201, 367, 265, 3899, 1961, 12761, 1, 1, 7,
    9, 9, 55, 101, 163, 39, 351, 1877, 2481, 3265, 15575, 1, 1, 3, 5, 29,
    19, 21, 39, 187, 401, 547, 2477, 995, 3339, 1, 3, 3, 5, 19, 25, 59,
    247, 389, 733, 1867, 3401, 5115, 12791, 1, 1, 3, 15, 11, 39, 29, 239, 157,
    145, 1553, 3419, 5787, 3983, 1, 1, 1, 15, 23, 47, 99, 71, 335, 749, 875,
    5, 8049, 4585, 1, 3, 7, 11, 19, 17, 25, 23, 243, 171, 929, 1981, 363,
    13631, 1, 1, 1, 1, 19, 43, 101, 199, 157, 431, 1127, 3261, 4063, 10569, 1,
    3, 5, 15, 15, 43, 1, 199, 281, 841, 1643, 2827, 6997, 11309, 1, 1, 1,
    11, 5, 53, 127, 147, 141, 319, 1605, 3717, 6519, 15315, 1, 3, 3, 7, 31,
    5, 39, 221, 91, 521, 527, 3253, 2877, 1439, 1, 3, 5, 1, 9, 61, 69,
    27, 393, 557, 1949, 3035, 3717, 5099, 1, 3, 7, 3, 19, 43, 77, 161, 469,
    721, 73, 685, 1681, 5581, 1, 1, 7, 5, 27, 3, 119, 223, 255, 905, 501,
    1809, 5591, 29, 1, 1, 3, 11, 13, 1, 13, 103, 305, 679, 1485, 4077, 1419,
    7893, 1, 1, 1, 15, 21, 7, 39, 49, 451, 291, 93, 3563, 5071, 15353, 1,
    3, 7, 9, 19, 53, 57, 149, 171, 377, 1903, 235, 2181, 8207, 1, 3, 5,
    15, 23, 25, 63, 53, 23, 263, 1681, 3305, 461, 9875, 1, 1, 3, 5, 5,
    15, 71, 217, 493, 323, 1451, 1629, 7677, 15945, 1, 1, 5, 9, 31, 53, 95,
    37, 357, 61, 1601, 3565, 3705, 6617, 1, 3, 1, 5, 17, 33, 81, 119, 233,
    219, 1429, 2183, 771, 7199, 1, 1, 7, 9, 27, 17, 7, 17, 281, 959, 1065,
    3489, 6665, 14469, 1, 3, 1, 15, 21, 15, 99, 77, 437, 571, 207, 609, 7287,
    9395, 1, 1, 7, 1, 1, 49, 39, 189, 111, 65, 1345, 2559, 7835, 9869, 1,
    1, 1, 1, 27, 17, 93, 83, 339, 465, 1445, 3557, 6489, 6985, 1, 1, 5,
    3, 1, 7, 35, 39, 491, 563, 1815, 2513, 5523, 12691, 1, 1, 3, 5, 3,
    31, 127, 91, 87, 447, 1237, 3419, 6979, 6311, 1, 1, 7, 3, 25, 61, 45,
    219, 455, 859, 781, 2991, 6585, 11511, 1, 3, 3, 13, 15, 37, 77, 211, 403,
    349, 35, 2785, 4439, 5715, 1, 1, 3, 1, 1, 19, 45, 37, 459, 839, 17,
    3223, 6411, 9209, 1, 3, 1, 3, 27, 43, 63, 241, 455, 593, 1855, 3689, 7825,
    10197, 1, 3, 3, 1, 5, 17, 71, 209, 57, 991, 617, 3097, 5431, 2057, 1,
    1, 5, 15, 31, 21, 119, 53, 447, 969, 335, 3793, 3225, 9809, 1, 1, 1,
    11, 17, 51, 17, 7, 257, 221, 119, 2631, 6395, 8495, 1, 3, 1, 15, 31,
    13, 3, 9, 479, 233, 1051, 1953, 7863, 5969, 1, 3, 1, 9, 13, 49, 57,
    161, 65, 871, 2021, 3337, 7071, 12969, 1, 3, 5, 15, 1, 53, 3, 77, 487,
    207, 1761, 847, 3131, 1933, 1, 3, 1, 7, 7, 21, 55, 217, 167, 113, 1029,
    2761, 2063, 5267, 1, 3, 3, 7, 15, 57, 119, 9, 211, 93, 209, 2905, 2589,
    12341, 1, 3, 1, 15, 25, 7, 41, 87, 451, 613, 353, 2619, 6015, 14003, 1,
    3, 3, 11, 23, 5, 3, 145, 471, 685, 3, 3431, 2843, 11725, 1, 3, 7,
    11, 13, 45, 73, 45, 169, 395, 1279, 2589, 1419, 14965, 1, 3, 5, 9, 25,
    23, 77, 149, 27, 441, 1391, 1853, 3993, 15507, 1, 1, 1, 7, 21, 33, 39,
    59, 161, 399, 447, 1249, 5407, 11825, 1, 1, 5, 3, 25, 53, 37, 237, 91,
    625, 1195, 1161, 7005, 7831, 1, 3, 7, 5, 7, 63, 37, 101, 399, 645, 545,
    3419, 6619, 2179, 1, 1, 5, 11, 11, 51, 103, 207, 267, 909, 1975, 2279, 1991,
    1891, 1, 1, 7, 1, 27, 45, 9, 1, 423, 197, 697, 2765, 2653, 2613, 1,
    3, 7, 1, 27, 13, 45, 47, 493, 131, 565, 1363, 4921, 10023, 1, 3, 7,
    1, 7, 47, 99, 107, 343, 933, 1017, 3931, 1329, 2833, 1, 1, 3, 1, 13,
    9, 5, 131, 475, 537, 1857, 2579, 6377, 14363, 1, 1, 5, 5, 15, 7, 87,
    39, 51, 563, 1145, 3639, 4261, 9585, 1, 3, 1, 3, 3, 61, 23, 223, 221,
    165, 315, 2475, 7907, 10171, 1, 1, 3, 9, 23, 57, 121, 171, 439, 101, 261,
    1115, 1291, 2951, 1, 1, 1, 9, 15, 23, 81, 189, 301, 515, 297, 915, 763,
    11037, 1, 3, 5, 9, 17, 45, 33, 101, 65, 687, 2011, 1821, 6891, 7321, 1,
    3, 5, 5, 9, 61, 11, 69, 345, 211, 393, 331, 3953, 13987, 1, 1, 5,
    15, 9, 23, 11, 45, 325, 1019, 1499, 831, 127, 9237, 1, 1, 5, 5, 19,
    9, 53, 213, 417, 761, 1275, 2117, 465, 15195, 1, 3, 1, 7, 25, 53, 57,
    95, 31, 791, 345, 3769, 3487, 4269, 1, 3, 3, 1, 17, 9, 127, 203, 67,
    435, 281, 3857, 819, 11235, 1, 3, 1, 7, 23, 45, 127, 197, 501, 11, 1125,
    2781, 7979, 1699, 1, 3, 3, 13, 21, 21, 57, 125, 225, 593, 27, 539, 7989,
    9597, 1, 3, 7, 7, 29, 27, 57, 19, 51, 981, 205, 169, 5713, 4777, 1,
    3, 7, 7, 1, 59, 57, 61, 145, 683, 1043, 11, 5277, 5095, 1, 1, 1,
    3, 7, 39, 123, 251, 259, 295, 1333, 395, 5463, 11593, 1, 1, 7, 15, 1,
    9, 71, 79, 299, 1007, 1403, 237, 4845, 10521, 1, 1, 5, 5, 11, 51, 45,
    51, 489, 865, 511, 1415, 7867, 4235, 1, 3, 3, 9, 23, 31, 83, 77, 461,
    111, 1985, 3401, 271, 9763, 1, 3, 5, 11, 19, 53, 45, 135, 171, 593, 1761,
    1019, 7715, 9835, 1, 1, 3, 5, 21, 47, 95, 1, 419, 547, 447, 3475, 7829,
    12019, 1, 3, 7, 13, 15, 29, 21, 197, 491, 997, 453, 3415, 745, 11259, 1,
    1, 3, 11, 19, 39, 99, 83, 35, 941, 1175, 2749, 4181, 8791, 1, 1, 5,
    7, 23, 3, 101, 11, 81, 291, 1815, 3391, 7615, 1305, 1, 3, 5, 13, 27,
    35, 71, 185, 87, 939, 1025, 1577, 5919, 5335, 1, 3, 3, 9, 3, 31, 23,
    213, 371, 595, 2003, 647, 909, 7503, 1, 1, 5, 9, 31, 63, 125, 113, 273,
    985, 1049, 1819, 2773, 6495, 1, 1, 1, 5, 21, 7, 87, 207, 455, 403, 677,
    175, 531, 10467, 1, 1, 5, 1, 3, 45, 109, 75, 429, 983, 423, 3491, 7949,
    15253, 1, 1, 3, 1, 23, 27, 91, 5, 235, 121, 1087, 325, 5191, 8271, 1,
    3, 3, 15, 29, 63, 91, 129, 305, 827, 1311, 2765, 253, 1495, 1, 3, 1,
    15, 21, 45, 7, 21, 169, 275, 629, 589, 4623, 5491, 1, 3, 1, 3, 13,
    45, 127, 105, 377, 49, 1161, 489, 595, 7041, 1, 1, 5, 11, 31, 61, 91,
    1, 35, 189, 1479, 2041, 1585, 13009, 1, 3, 3, 1, 23, 47, 69, 47, 361,
    375, 77, 3777, 5769, 9925, 1, 3, 3, 9, 5, 13, 31, 119, 411, 735, 839,
    2919, 543, 12929, 1, 3, 5, 11, 19, 5, 29, 185, 115, 841, 507, 1433, 5091,
    3593, 1, 3, 1, 13, 15, 19, 23, 83, 319, 99, 785, 697, 3703, 8733, 1,
    3, 5, 3, 7, 31, 53, 213, 287, 797, 1807, 879, 4227, 12013, 1, 3, 3,
    1, 23, 53, 91, 173, 253, 971, 1017, 2185, 4911, 15359, 1, 3, 7, 3, 17,
    27, 77, 225, 97, 199, 607, 1615, 963, 671, 1, 1, 5, 11, 9, 61, 3,
    105, 455, 953, 455, 3925, 3947, 7873, 1, 3, 7, 7, 3, 49, 121, 109, 239,
    855, 789, 3627, 3873, 6785, 1, 1, 5, 5, 29, 35, 99, 159, 17, 221, 855,
    2081, 2791, 11413, 1, 3, 7, 5, 23, 53, 75, 93, 207, 189, 2035, 1829, 7581,
    1425, 1, 1, 3, 9, 3, 61, 61, 237, 53, 875, 1617, 727, 2683, 15797, 1,
    1, 1, 11, 23, 3, 105, 107, 353, 579, 119, 3041, 3005, 15581, 1, 1, 1,
    11, 31, 15, 89, 215, 161, 39, 629, 2873, 1635, 1029, 1, 3, 3, 15, 15,
    25, 53, 27, 167, 497, 1795, 1283, 7869, 15821, 1, 3, 7, 3, 27, 39, 111,
    29, 445, 365, 273, 2183, 475, 12503, 1, 3, 7, 5, 9, 13, 25, 115, 419,
    387, 1663, 3445, 157, 10549, 1, 1, 5, 13, 23, 39, 7, 247, 127, 285, 675,
    1785, 1823, 10183, 1, 1, 1, 11, 31, 39, 93, 19, 125, 453, 1963, 2619, 6195,
    2231, 1, 1, 7, 3, 31, 51, 59, 19, 15, 251, 749, 2469, 369, 15413, 1,
    1, 7, 9, 19, 59, 111, 255, 91, 89, 1447, 353, 6701, 7955, 1, 1, 7,
    3, 3, 21, 115, 159, 489, 609, 1993, 2961, 3117, 3977, 1, 3, 7, 13, 13,
    13, 57, 41, 5, 337, 2005, 2587, 3873, 12829, 1, 1, 3, 9, 9, 3, 39,
    165, 155, 353, 985, 2221, 2973, 6331, 1, 3, 3, 5, 3, 15, 121, 191, 367,
    513, 1765, 3957, 3113, 10669, 1, 3, 7, 1, 13, 41, 63, 241, 405, 43, 1211,
    1499, 1095, 11867, 1, 3, 7, 15, 17, 17, 63, 197, 377, 981, 1615, 2407, 6669,
    411, 1, 1, 3, 1, 3, 39, 85, 15, 9, 747, 423, 3103, 7341, 10953, 1,
    1, 7, 13, 25, 9, 17, 137, 267, 405, 1819, 641, 7305, 13971, 1, 3, 5,
    5, 19, 45, 121, 65, 385, 715, 267, 1841, 6317, 5827, 1, 1, 7, 9, 11,
    31, 57, 123, 107, 913, 669, 1053, 1213, 8791, 1, 1, 3, 7, 21, 3, 57,
    227, 401, 443, 1847, 3523, 4717, 2505, 1, 3, 3, 15, 29, 41, 67, 217, 431,
    37, 1775, 297, 1921, 8715, 1, 3, 7, 7, 27, 35, 113, 57, 23, 927, 141,
    1363, 4209, 4399, 1, 1, 7, 9, 19, 51, 107, 189, 463, 695, 1931, 1541, 1285,
    15703, 1, 3, 5, 7, 29, 43, 109, 117, 389, 7, 1129, 1945, 6987, 799, 1,
    1, 1, 13, 9, 7, 119, 61, 385, 315, 1953, 1745, 8117, 15863, 1, 1, 7,
    7, 21, 55, 95, 113, 293, 899, 1327, 161, 6613, 14949, 1, 1, 7, 9, 19,
    21, 89, 5, 477, 441, 1477, 1995, 6633, 5523, 1, 3, 3, 11, 15, 27, 17,
    239, 263, 267, 1729, 3583, 4117, 13637, 1, 1, 5, 5, 11, 53, 15, 201, 401,
    845, 741, 2803, 3087, 9001, 1, 3, 3, 11, 17, 21, 65, 109, 163, 251, 1487,
    1541, 481, 10545, 1, 3, 3, 13, 21, 61, 71, 121, 331, 551, 1237, 805, 3799,
    1437, 1, 3, 1, 11, 21, 29, 61, 161, 193, 745, 935, 1013, 3507, 6091, 1,
    3, 7, 15, 5, 59, 99, 147, 467, 625, 1873, 3459, 5749, 10571, 1, 3, 1,
    3, 9, 21, 57, 63, 205, 891, 1963, 2271, 6303, 9565, 1, 1, 1, 1, 17,
    55, 21, 105, 181, 763, 763, 337, 2283, 5203, 1, 3, 3, 11, 25, 33, 7,
    107, 329, 49, 31, 995, 757, 9781, 1, 3, 7, 13, 17, 19, 107, 189, 359,
    709, 819, 3943, 1891, 12173, 1, 1, 7, 5, 3, 55, 121, 37, 493, 579, 2021,
    3129, 6519, 14569, 1, 1, 5, 15, 17, 3, 59, 75, 453, 323, 1559, 3695, 7711,
    7665, 1, 3, 3, 7, 9, 35, 121, 179, 345, 973, 337, 3655, 3815, 6317, 1,
    3, 7, 7, 9, 27, 59, 253, 9, 221, 587, 1087, 7295, 12193, 1, 1, 3,
    7, 27, 1, 105, 99, 49, 555, 2019, 2863, 5211, 2485, 1, 1, 3, 15, 25,
    55, 23, 221, 501, 671, 11, 1801, 6485, 14983, 1, 3, 1, 3, 27, 45, 69,
    159, 77, 541, 1441, 2043, 5609, 6799, 1, 1, 5, 3, 21, 31, 7, 197, 511,
    299, 1523, 3341, 301, 8639, 1, 1, 7, 1, 9, 59, 63, 253, 191, 653, 383,
    1239, 7839, 3699, 1, 1, 3, 9, 13, 33, 73, 209, 125, 939, 1507, 3527, 6039,
    14027, 1, 1, 3, 13, 13, 21, 5, 15, 301, 625, 713, 2867, 3129, 4939, 1,
    1, 1, 13, 23, 5, 115, 69, 101, 327, 563, 2623, 6491, 7381, 1, 1, 5,
    7, 9, 53, 1, 91, 53, 823, 281, 2281, 6509, 2515, 1, 1, 5, 5, 13,
    61, 105, 183, 39, 493, 773, 1815, 1549, 7511, 1, 1, 3, 13, 29, 27, 97,
    205, 425, 13, 1227, 625, 137, 6785, 1, 3, 7, 11, 13, 29, 105, 85, 251,
    151, 1515, 3137, 8051, 14333, 1, 3, 7, 9, 25, 59, 99, 43, 435, 361, 297,
    449, 5633, 5813, 1, 3, 1, 13, 17, 45, 113, 79, 315, 781, 785, 3463, 1299,
    5959, 1, 1, 7, 15, 19, 47, 35, 13, 487, 227, 1965, 4035, 4285, 14395, 1,
    3, 7, 5, 9, 41, 91, 127, 101, 519, 1147, 3851, 7929, 1807, 1, 1, 7,
    1, 19, 63, 45, 75, 437, 309, 1327, 3913, 5961, 2825, 1, 1, 1, 15, 11,
    1, 77, 11, 105, 499, 859, 2403, 4453, 12297, 1, 1, 5, 5, 9, 33, 87,
    85, 167, 35, 501, 1027, 4489, 10513, 1, 1, 7, 13, 5, 3, 75, 75, 417,
    319, 423, 1107, 371, 12493, 1, 3, 7, 7, 15, 57, 7, 105, 95, 287, 1865,
    2795, 5187, 543, 1, 1, 1, 11, 1, 3, 121, 99, 299, 415, 47, 997, 2939,
    8529, 1, 1, 7, 11, 23, 17, 101, 209, 267, 459, 1965, 2153, 6361, 9553, 1,
    1, 3, 5, 1, 9, 7, 17, 109, 245, 701, 2161, 2109, 3301, 1, 3, 5,
    3, 13, 21, 113, 159, 261, 467, 127, 437, 8071, 11647, 1, 3, 1, 15, 29,
    63, 93, 31, 189, 881, 17, 2689, 1273, 4991, 1, 3, 3, 7, 31, 23, 39,
    177, 505, 207, 67, 2897, 315, 5981, 1, 3, 5, 5, 31, 19, 87, 237, 119,
    439, 1893, 3079, 3709, 15051, 1, 3, 5, 1, 31, 35, 125, 173, 197, 765, 1419,
    465, 1919, 2641, 1, 1, 5, 11, 19, 15, 49, 255, 447, 939, 137, 2371, 6617,
    79, 1, 3, 3, 1, 11, 29, 81, 81, 327, 593, 135, 415, 2417, 8671, 1,
    1, 7, 11, 11, 35, 9, 143, 311, 57, 557, 793, 6597, 12979, 1, 1, 7,
    1, 27, 1, 105, 149, 417, 605, 431, 2419, 4113, 5651, 1, 1, 3, 15, 1,
    45, 63, 119, 167, 607, 961, 2561, 7839, 13343, 1, 1, 5, 15, 11, 47, 75,
    209, 175, 219, 443, 1311, 3383, 14073, 1, 3, 5, 15, 17, 49, 97, 3, 343,
    515, 129, 2243, 1567, 6119, 1, 1, 3, 13, 3, 31, 111, 173, 97, 211, 69,
    1771, 3039, 10305, 1, 1, 1, 11, 7, 27, 5, 163, 277, 959, 1287, 3603, 2617,
    12883, 1, 1, 7, 5, 7, 63, 25, 235, 301, 575, 1979, 1519, 5765, 6331, 1,
    3, 5, 7, 23, 35, 43, 171, 481, 559, 1495, 665, 6325, 2733, 1, 1, 7,
    5, 3, 55, 99, 141, 37, 757, 11, 911, 2523, 11031, 1, 1, 5, 7, 17,
    9, 91, 9, 141, 693, 581, 2151, 3527, 11575, 1, 1, 7, 1, 19, 31, 23,
    59, 215, 873, 161, 1719, 509, 4509, 1, 1, 7, 9, 17, 29, 57, 31, 233,
    109, 865, 759, 3289, 11595, 1, 3, 3, 15, 5, 61, 17, 69, 413, 95, 41,
    1375, 1959, 11945, 1, 3, 7, 1, 25, 3, 77, 9, 301, 117, 255, 3169, 3493,
    5503, 1, 1, 5, 3, 31, 1, 87, 211, 45, 185, 329, 3883, 3621, 4007, 1,
    1, 5, 15, 11, 5, 123, 131, 479, 981, 921, 3557, 5897, 9387, 1, 1, 3,
    3, 9, 43, 25, 57, 151, 975, 403, 727, 1155, 13495, 1, 3, 3, 15, 29,
    59, 31, 169, 201, 1007, 1017, 3121, 3989, 7835, 1, 1, 3, 9, 19, 7, 103,
    137, 135, 855, 179, 2859, 6959, 9749, 1, 3, 3, 15, 3, 3, 121, 231, 461,
    511, 1203, 2105, 6379, 6809, 1, 1, 7, 15, 29, 5, 19, 215, 13, 813, 1421,
    1725, 7809, 2379, 1, 3, 5, 1, 9, 55, 127, 129, 95, 449, 1607, 4043, 5175,
    6063, 1, 1, 1, 9, 17, 31, 103, 107, 89, 5, 1747, 3405, 5739, 1959, 1,
    3, 1, 15, 5, 43, 41, 15, 453, 691, 739, 3755, 6597, 9737, 1, 1, 3,
    5, 27, 55, 111, 19, 349, 753, 1667, 3683, 4617, 12663, 1, 1, 5, 11, 29,
    57, 111, 187, 45, 957, 2001, 2743, 2813, 3831, 1, 3, 7, 5, 13, 63, 25,
    59, 169, 577, 301, 1535, 5355, 15835, 1, 3, 3, 7, 7, 25, 101, 249, 59,
    217, 557, 2565, 5103, 13787, 1, 3, 7, 9, 5, 31, 97, 19, 435, 205, 1217,
    3659, 7687, 8381, 1, 1, 1, 5, 7, 33, 41, 89, 243, 769, 1915, 2235, 757,
    367, 1, 1, 1, 15, 3, 11, 103, 41, 79, 585, 1661, 1739, 2075, 15113, 1,
    1, 5, 5, 5, 53, 103, 167, 387, 591, 317, 2539, 3763, 3341, 1, 1, 7,
    7, 31, 29, 69, 43, 257, 471, 435, 3895, 445, 10941, 1, 1, 1, 9, 13,
    63, 3, 167, 447, 569, 949, 2289, 6383, 5887, 1, 1, 5, 5, 11, 31, 35,
    9, 383, 933, 519, 3773, 4987, 2737, 1, 1, 7, 7, 15, 17, 121, 109, 299,
    579, 683, 1365, 2471, 14275, 1, 1, 1, 9, 19, 9, 17, 229, 405, 545, 1923,
    991, 473, 11233, 1, 1, 3, 13, 13, 1, 101, 241, 51, 885, 1835, 1095, 2917,
    15167, 1, 3, 5, 3, 31, 35, 127, 17, 153, 415, 769, 299, 7791, 8697, 1,
    3, 3, 3, 23, 35, 77, 237, 427, 611, 2025, 3201, 7855, 789, 1, 3, 1,
    5, 9, 25, 123, 215, 387, 939, 471, 1123, 6747, 14803, 1, 1, 5, 15, 1,
    55, 85, 249, 315, 253, 1705, 35, 7351, 11255, 1, 3, 5, 3, 7, 15, 5,
    167, 351, 145, 1891, 2691, 3035, 873, 1, 3, 1, 15, 19, 33, 85, 241, 259,
    625, 615, 97, 5977, 4777, 1, 3, 7, 9, 19, 17, 9, 197, 141, 5, 355,
    3001, 6903, 13809, 1, 1, 7, 13, 9, 39, 79, 43, 465, 49, 849, 1509, 5251,
    11239, 1, 1, 7, 3, 5, 21, 37, 159, 461, 1015, 329, 4095, 2513, 6213, 1,
    1, 7, 7, 7, 19, 127, 15, 61, 439, 1381, 677, 2851, 1635, 1, 1, 3,
    5, 17, 19, 125, 171, 175, 441, 1153, 2445, 2907, 13089, 1, 1, 7, 9, 17,
    59, 53, 81, 5, 685, 1257, 3179, 5067, 10131, 1, 1, 5, 3, 9, 47, 25,
    111, 235, 117, 65, 2565, 865, 15173, 1, 3, 1, 7, 27, 5, 55, 155, 221,
    451, 1823, 1277, 1397, 15715, 1, 1, 1, 15, 17, 5, 115, 209, 393, 973, 177,
    825, 3315, 8333, 1, 1, 3, 13, 23, 47, 121, 47, 379, 433, 807, 3723, 2595,
    14727, 1, 1, 3, 5, 29, 59, 39, 205, 327, 999, 1897, 3441, 5355, 12881, 1,
    1, 3, 3, 27, 63, 57, 175, 225, 353, 675, 2955, 6581, 2735, 1, 3, 3,
    1, 11, 55, 55, 191, 239, 579, 1355, 2449, 563, 9757, 1, 1, 7, 5, 1,
    49, 35, 19, 25, 783, 1453, 1063, 4811, 1449, 1, 3, 1, 13, 11, 63, 17,
    203, 479, 133, 1951, 385, 6803, 13453, 1, 3, 7, 9, 21, 19, 15, 125, 397,
    109, 1903, 4053, 6449, 8821, 1, 3, 7, 15, 1, 33, 45, 161, 43, 729, 397,
    4093, 8123, 3123, 1, 3, 7, 7, 3, 35, 3, 183, 231, 351, 1381, 1251, 3423,
    3361, 1, 1, 1, 5, 23, 11, 71, 137, 323, 809, 827, 1573, 4483, 8691, 1,
    3, 7, 7, 17, 29, 121, 47, 139, 687, 95, 1507, 2009, 1679, 1, 3, 7,
    9, 25, 53, 127, 137, 295, 863, 299, 1831, 5359, 4787, 1, 3, 1, 9, 29,
    3, 83, 35, 367, 675, 1511, 381, 6675, 897, 1, 3, 5, 13, 1, 15, 57,
    199, 349, 873, 1059, 3767, 841, 16259, 1, 3, 7, 3, 13, 5, 47, 203, 211,
    899, 1107, 743, 6825, 8703, 1, 3, 7, 11, 31, 41, 11, 59, 59, 859, 787,
    977, 2223, 15921, 1, 3, 5, 5, 31, 11, 39, 105, 109, 487, 1459, 2935, 3723,
    4697, 1, 3, 3, 13, 9, 17, 39, 239, 183, 885, 123, 387, 2369, 16179, 1,
    1, 1, 7, 25, 47, 23, 29, 95, 331, 2005, 633, 649, 1623, 1, 1, 3,
    13, 9, 21, 41, 125, 287, 309, 1421, 1637, 2611, 2259, 1, 1, 3, 3, 11,
    27, 117, 93, 419, 521, 1699, 233, 1967, 14147, 1, 1, 3, 11, 25, 21, 61,
    15, 415, 693, 1685, 1727, 961, 3887, 1, 3, 7, 9, 15, 39, 41, 19, 237,
    231, 1605, 2641, 6047, 10235, 1, 1, 3, 9, 5, 49, 113, 133, 499, 545, 467,
    683, 579, 8123, 1, 3, 5, 13, 11, 31, 121, 229, 225, 135, 85, 1389, 5317,
    13453, 1, 3, 7, 9, 17, 51, 77, 141, 413, 805, 1759, 1139, 5847, 16153, 1,
    3, 5, 7, 23, 29, 79, 235, 113, 981, 1147, 219, 2609, 1089, 1, 1, 5,
    7, 5, 45, 123, 123, 335, 409, 115, 971, 827, 427, 1, 3, 7, 13, 13,
    45, 41, 173, 261, 151, 1199, 2803, 5801, 2449, 1, 3, 1, 7, 5, 17, 9,
    91, 475, 505, 1983, 2539, 339, 16365, 1, 1, 7, 5, 25, 31, 77, 53, 293,
    735, 1423, 165, 4363, 5923, 1, 1, 1, 15, 7, 51, 117, 91, 347, 677, 1059,
    2861, 3583, 11995, 1, 3, 3, 13, 27, 27, 123, 251, 47, 885, 2015, 1089, 4077,
    8591, 1, 1, 7, 11, 17, 41, 97, 47, 201, 789, 881, 1565, 1169, 10967, 1,
    1, 3, 15, 25, 43, 45, 237, 73, 909, 1041, 1025, 3217, 9347, 1, 1, 1,
    3, 7, 59, 51, 177, 223, 125, 63, 3311, 3171, 8725, 1, 1, 1, 1, 31,
    25, 55, 117, 493, 419, 1749, 2799, 6943, 12427, 1, 3, 5, 13, 1, 59, 123,
    239, 239, 589, 667, 1029, 1357, 6801, 1, 1, 7, 15, 21, 7, 43, 103, 159,
    685, 1435, 529, 4225, 5051, 1, 3, 1, 13, 29, 21, 19, 229, 369, 317, 1681,
    685, 5301, 11107, 1, 3, 7, 9, 17, 13, 117, 21, 203, 123, 1933, 3981, 5133,
    11729, 1, 3, 3, 1, 29, 5, 119, 27, 135, 913, 1891, 2785, 6311, 8439, 1,
    3, 7, 5, 3, 31, 95, 55, 89, 541, 609, 773, 6513, 10015, 1, 3, 7,
    1, 25, 27, 71, 153, 215, 921, 29, 2103, 1605, 59, 1, 1, 3, 5, 15,
    31, 65, 35, 221, 571, 873, 1271, 5399, 15659, 1, 3, 5, 3, 31, 31, 127,
    251, 379, 801, 905, 1661, 225, 11939, 1, 3, 1, 15, 31, 59, 51, 117, 325,
    491, 1801, 669, 2867, 5325, 1, 1, 5, 13, 1, 15, 3, 105, 81, 229, 573,
    3047, 6373, 11947, 1, 1, 3, 9, 7, 51, 83, 103, 277, 5, 1189, 89, 7173,
    1617, 1, 1, 5, 3, 11, 13, 5, 205, 179, 23, 1327, 3049, 23, 5123, 1,
    3, 5, 7, 7, 23, 117, 133, 449, 265, 1087, 1565, 7185, 7099, 1, 1, 3,
    5, 7, 13, 31, 197, 29, 659, 1485, 2395, 3239, 5837, 1, 3, 5, 13, 15,
    53, 67, 107, 103, 675, 253, 471, 283, 1221, 1, 1, 5, 11, 17, 17, 65,
    165, 141, 839, 217, 3779, 1151, 3551, 1, 1, 7, 13, 13, 23, 57, 241, 253,
    565, 371, 3713, 4539, 1033, 1, 1, 7, 11, 17, 11, 121, 193, 9, 33, 695,
    1361, 6433, 895, 1, 1, 1, 3, 15, 11, 87, 87, 419, 605, 163, 377, 3729,
    4309, 1, 3, 5, 3, 17, 43, 13, 99, 409, 919, 1347, 1407, 1723, 11317, 1,
    1, 1, 9, 1, 21, 111, 225, 191, 65, 1231, 27, 387, 12225, 1, 1, 3,
    11, 19, 63, 61, 103, 31, 241, 1807, 3101, 7275, 2333, 1, 1, 7, 5, 31,
    41, 115, 77, 347, 85, 69, 1911, 7345, 15269, 1, 1, 7, 1, 25, 41, 105,
    5, 161, 721, 1667, 1285, 6197, 14823, 1, 3, 3, 9, 15, 33, 43, 155, 269,
    215, 663, 3425, 7725, 15307, 1, 3, 5, 15, 23, 43, 71, 79, 163, 167, 1207,
    741, 141, 8269, 1, 1, 7, 9, 21, 21, 39, 181, 379, 383, 343, 1685, 1713,
    10377, 1, 3, 3, 7, 3, 17, 45, 11, 351, 111, 229, 3241, 6953, 7143, 1,
    1, 7, 13, 15, 57, 87, 247, 361, 943, 801, 1861, 5705, 14499, 1, 1, 5,
    7, 11, 9, 89, 235, 235, 225, 1053, 2909, 993, 15471, 1, 3, 3, 11, 15,
    47, 73, 13, 477, 703, 1353, 3633, 4059, 16367, 1, 1, 5, 15, 9, 39, 49,
    141, 181, 917, 1331, 427, 7455, 13753, 1, 3, 1, 13, 11, 7, 113, 101, 473,
    851, 771, 1287, 8157, 2113, 1, 3, 1, 15, 23, 33, 87, 5, 245, 853, 1433,
    85, 5655, 11579, 1, 1, 5, 15, 19, 59, 103, 249, 247, 589, 797, 2733, 6603,
    2065, 1, 1, 1, 7, 25, 63, 105, 183, 497, 25, 739, 521, 7327, 12711, 1,
    3, 3, 7, 27, 13, 63, 23, 417, 303, 155, 2227, 5621, 1643, 1, 1, 5,
    9, 29, 13, 75, 199, 353, 577, 1715, 3939, 2659, 5969, 1, 1, 5, 11, 11,
    37, 55, 185, 435, 763, 333, 3243, 7553, 9741, 1, 3, 7, 13, 7, 1, 65,
    243, 443, 869, 769, 4027, 4831, 7333, 1, 1, 5, 11, 31, 23, 93, 117, 323,
    157, 811, 1543, 449, 8371, 1, 3, 1, 9, 27, 25, 87, 223, 467, 761, 547,
    2381, 411, 14035, 1, 1, 7, 9, 31, 27, 127, 11, 243, 263, 255, 831, 6801,
    10923, 1, 3, 5, 15, 23, 11, 77, 5, 255, 699, 13, 3883, 4703, 2785, 1,
    3, 1, 1, 25, 37, 47, 75, 79, 881, 1505, 2825, 2477, 1963, 1, 1, 3,
    7, 29, 39, 33, 151, 153, 869, 65, 107, 7173, 5059, 1, 1, 5, 13, 29,
    41, 61, 37, 353, 429, 587, 2431, 3711, 14149, 1, 1, 3, 7, 13, 23, 29,
    157, 427, 353, 1485, 879, 3851, 15775, 1, 1, 5, 11, 7, 17, 91, 225, 275,
    923, 1383, 2587, 7545, 7203, 1, 1, 5, 3, 3, 57, 75, 97, 233, 233, 1547,
    1915, 1229, 8559, 1, 3, 3, 11, 11, 63, 15, 121, 209, 31, 171, 1117, 2373,
    7545, 1, 1, 1, 3, 27, 7, 89, 155, 7, 829, 537, 3639, 1721, 8199, 1,
    1, 1, 1, 5, 43, 59, 245, 321, 869, 785, 367, 2693, 8603, 1, 1, 3,
    1, 23, 17, 19, 79, 303, 919, 1119, 303, 907, 9033, 1, 3, 1, 15, 17,
    43, 1, 207, 395, 251, 727, 1341, 2073, 16319, 1, 3, 3, 15, 3, 31, 97,
    111, 161, 947, 1509, 2143, 4773, 3569, 1, 3, 7, 3, 5, 33, 19, 149, 233,
    221, 517, 21, 7651, 14987, 1, 3, 3, 7, 19, 1, 39, 253, 311, 681, 897,
    2777, 5181, 6985, 1, 3, 5, 13, 3, 39, 75, 225, 491, 631, 513, 935, 2775,
    6405, 1, 3, 5, 9, 29, 57, 67, 67, 53, 955, 1297, 3871, 131, 7317, 1,
    3, 3, 9, 31, 55, 53, 179, 305, 625, 1097, 1203, 1973, 2807, 1, 1, 1,
    5, 5, 47, 25, 7, 279, 751, 1149, 2871, 2985, 11941, 1, 3, 7, 5, 21,
    47, 29, 23, 419, 181, 517, 1261, 2329, 11667, 1, 1, 1, 3, 5, 53, 61,
    1, 273, 165, 1227, 2901, 2739, 2453, 1, 3, 1, 7, 1, 21, 89, 27, 487,
    167, 717, 3653, 3971, 7825, 1, 1, 3, 5, 3, 43, 19, 221, 21, 329, 1415,
    1137, 1073, 2869, 1, 1, 7, 13, 27, 61, 65, 93, 469, 975, 5, 3919, 7565,
    13885, 1, 1, 5, 9, 9, 9, 111, 97, 35, 595, 997, 797, 5963, 12977, 1,
    3, 7, 11, 5, 1, 125, 169, 393, 127, 1297, 3853, 1177, 10553, 1, 1, 3,
    13, 11, 53, 55, 119, 41, 895, 1379, 1955, 7059, 143, 1, 3, 1, 7, 1,
    9, 49, 165, 479, 247, 1555, 2199, 6695, 8983, 1, 3, 3, 3, 17, 53, 47,
    97, 301, 649, 1121, 7, 1335, 11535, 1, 3, 1, 1, 25, 49, 5, 227, 335,
    401, 651, 3089, 823, 3159, 1, 1, 5, 7, 7, 25, 79, 15, 79, 381, 991,
    2319, 6087, 5919, 1, 3, 7, 3, 17, 53, 99, 237, 305, 411, 1751, 753, 4785,
    57, 1, 1, 5, 7, 15, 27, 91, 159, 451, 877, 715, 1183, 3619, 4521, 1,
    3, 7, 5, 25, 9, 9, 1, 421, 707, 1619, 1423, 7183, 687, 1, 3, 7,
    3, 3, 49, 79, 249, 299, 559, 1619, 2071, 8135, 1975, 1, 3, 1, 9, 29,
    63, 67, 93, 373, 505, 193, 791, 5761, 8329, 1, 1, 3, 3, 7, 33, 33,
    233, 507, 471, 1369, 3355, 27, 6389, 1, 3, 3, 9, 21, 13, 25, 249, 39,
    305, 827, 3559, 937, 6079, 1, 1, 1, 13, 25, 29, 115, 165, 65, 217, 1519,
    3117, 3211, 7211, 1, 1, 1, 3, 21, 17, 55, 117, 61, 807, 1821, 703, 3403,
    14181, 1, 3, 5, 1, 3, 5, 65, 199, 399, 695, 1527, 1187, 7887, 15437, 1,
    3, 1, 3, 23, 47, 43, 49, 377, 893, 423, 3745, 4291, 2579, 1, 3, 3,
    13, 15, 13, 19, 235, 209, 963, 1331, 1559, 5631, 2411, 1, 3, 5, 1, 3,
    47, 5, 179, 483, 163, 123, 1241, 5767, 4361, 1, 3, 5, 13, 15, 25, 123,
    13, 313, 959, 1845, 3949, 7395, 5727, 1, 3, 7, 7, 21, 35, 67, 209, 229,
    213, 1403, 561, 4229, 13611, 1, 3, 5, 15, 17, 45, 93, 5, 493, 779, 1357,
    243, 2067, 4621, 1, 3, 7, 1, 19, 29, 11, 219, 247, 133, 443, 1331, 5027,
    6953, 1, 1, 7, 5, 29, 41, 21, 95, 175, 761, 1425, 2471, 4597, 7071, 1,
    3, 7, 15, 25, 5, 49, 153, 415, 703, 321, 3727, 4541, 9711, 1, 3, 5,
    5, 21, 49, 15, 41, 203, 909, 953, 1587, 6323, 12589, 1, 3, 3, 7, 29,
    21, 59, 245, 287, 411, 1211, 2527, 5247, 11691, 1, 1, 3, 15, 5, 29, 25,
    123, 29, 613, 627, 269, 6479, 817, 1, 3, 5, 3, 23, 11, 15, 177, 421,
    803, 273, 3145, 7211, 7141, 1, 1, 7, 13, 13, 37, 59, 81, 57, 349, 833,
    871, 1343, 8911, 1, 3, 5, 3, 23, 11, 33, 39, 123, 77, 259, 2667, 2121,
    203, 1, 3, 7, 5, 5, 57, 31, 101, 463, 633, 1351, 2209, 5235, 8591, 1,
    1, 7, 9, 1, 35, 39, 121, 155, 847, 1355, 2161, 3073, 5873, 1, 3, 7,
    11, 19, 23, 29, 233, 501, 321, 1131, 641, 4023, 11955, 1, 3, 3, 7, 13,
    39, 119, 157, 261, 167, 511, 2349, 1489, 11523, 1, 3, 5, 15, 27, 3, 19,
    165, 229, 591, 1975, 3411, 4453, 3291, 1, 3, 5, 15, 11, 41, 61, 117, 505,
    347, 957, 2545, 1123, 16229, 1, 1, 5, 15, 1, 21, 101, 123, 341, 613, 451,
    3731, 8031, 1611, 1, 1, 5, 11, 27, 1, 53, 69, 509, 751, 407, 2777, 1319,
    10897, 1, 3, 5, 7, 7, 5, 127, 91, 17, 699, 1761, 2083, 4587, 10747, 1,
    3, 5, 11, 1, 57, 107, 245, 89, 899, 1765, 3521, 4933, 721, 1, 1, 1,
    1, 27, 49, 113, 201, 491, 921, 417, 3541, 5889, 8417, 1, 3, 5, 11, 1,
    37, 5, 43, 337, 883, 1351, 351, 269, 5501, 1, 3, 5, 5, 9, 11, 127,
    87, 463, 999, 635, 2355, 763, 11959, 1, 3, 1, 15, 25, 21, 111, 241, 31,
    35, 1869, 2913, 5963, 9989, 1, 1, 7, 13, 23, 57, 7, 225, 115, 649, 395,
    515, 5335, 10829, 1, 3, 5, 13, 21, 21, 51, 1, 39, 927, 681, 1341, 7703,
    631, 1, 1, 3, 13, 25, 35, 101, 215, 15, 207, 137, 409, 6239, 11609, 1,
    3, 1, 15, 11, 47, 17, 131, 405, 633, 35, 3335, 821, 4681, 1, 1, 1,
    9, 17, 17, 105, 81, 449, 421, 707, 1041, 3991, 2943, 1, 1, 1, 1, 29,
    55, 43, 161, 449, 163, 1295, 2583, 1405, 14211, 1, 1, 1, 7, 15, 41, 125,
    65, 347, 753, 1245, 2343, 733, 2269, 1, 3, 7, 5, 15, 25, 107, 35, 369,
    395, 939, 427, 5201, 15761, 1, 1, 3, 13, 29, 11, 9, 53, 393, 855, 483,
    3773, 3491, 14857, 1, 1, 5, 11, 25, 55, 25, 9, 161, 307, 1381, 2129, 1923,
    8779, 1, 1, 5, 1, 5, 1, 99, 205, 207, 607, 639, 29, 8045, 7159, 1,
    1, 3, 7, 29, 55, 15, 133, 217, 425, 1331, 2337, 2209, 1839, 1, 3, 5,
    1, 25, 1, 47, 135, 433, 647, 1693, 3983, 975, 14725, 1, 3, 7, 13, 29,
    41, 115, 227, 505, 17, 2041, 247, 7409, 12353, 1, 1, 1, 13, 19, 29, 25,
    175, 189, 581, 877, 2775, 737, 223, 1, 3, 7, 11, 27, 61, 21, 209, 51,
    653, 631, 3723, 7471, 11083, 1, 3, 1, 9, 9, 41, 33, 61, 97, 551, 1029,
    663, 5373, 8443, 1, 3, 3, 9, 9, 39, 85, 103, 95, 865, 269, 1243, 5709,
    3969, 1, 3, 5, 15, 9, 17, 75, 199, 3, 681, 1447, 1663, 7139, 10459, 1,
    1, 1, 15, 3, 21, 99, 203, 161, 669, 611, 771, 7773, 6069, 1, 3, 3,
    3, 17, 13, 111, 93, 35, 119, 113, 1169, 4891, 7753, 1, 1, 1, 11, 17,
    7, 91, 39, 293, 443, 1819, 275, 7699, 8043, 1, 1, 3, 13, 21, 37, 93,
    165, 281, 515, 1913, 839, 2177, 4907, 1, 3, 5, 11, 17, 23, 59, 161, 99,
    371, 1223, 2815, 4019, 9225, 1, 3, 1, 5, 31, 31, 31, 111, 441, 585, 393,
    1665, 1421, 7305, 1, 1, 5, 11, 19, 29, 81, 71, 223, 759, 2035, 1027, 2725,
    4869, 1, 1, 1, 11, 19, 13, 33, 139, 457, 321, 793, 2043, 4823, 10819, 1,
    3, 3, 5, 27, 9, 93, 141, 269, 177, 545, 1977, 1049, 8445, 1, 1, 7,
    3, 3, 25, 11, 75, 241, 641, 523, 2255, 6649, 2191, 1, 1, 5, 11, 31,
    31, 109, 235, 345, 291, 127, 2015, 7745, 4527, 1, 1, 3, 7, 3, 55, 107,
    51, 145, 545, 1601, 1973, 4083, 3297, 1, 3, 5, 1, 21, 29, 31, 147, 245,
    229, 1387, 2763, 769, 513, 1, 3, 5, 15, 3, 41, 119, 61, 401, 361, 443,
    3663, 3691, 1851, 1, 3, 5, 5, 17, 7, 55, 159, 121, 841, 913, 3507, 5989,
    15807, 1, 1, 3, 13, 5, 39, 65, 3, 261, 159, 439, 739, 6899, 61, 1,
    1, 5, 13, 13, 43, 111, 17, 1, 503, 587, 1943, 7773, 14015, 1, 3, 1,
    1, 5, 43, 55, 7, 171, 637, 39, 2341, 3027, 8521, 1, 3, 5, 7, 15,
    49, 103, 157, 187, 773, 1391, 21, 5909, 14537, 1, 1, 5, 13, 1, 29, 63,
    249, 473, 351, 705, 1999, 4135, 9683, 1, 3, 1, 7, 5, 7, 77, 179, 347,
    101, 1055, 549, 297, 3195, 1, 1, 1, 5, 19, 51, 15, 247, 269, 545, 43,
    2647, 1245, 6051, 1, 1, 5, 1, 9, 19, 45, 81, 145, 369, 1505, 1973, 3203,
    10947, 1, 3, 5, 3, 11, 51, 113, 173, 121, 923, 969, 4005, 247, 1729, 1,
    1, 7, 13, 1, 51, 111, 125, 163, 307, 1183, 1865, 2517, 9017, 1, 1, 5,
    13, 7, 9, 115, 191, 53, 891, 1703, 2507, 3103, 12511, 1, 1, 3, 11, 9,
    19, 3, 213, 421, 299, 1341, 3313, 637, 4977, 1, 3, 5, 13, 21, 7, 89,
    185, 337, 105, 415, 375, 4357, 16305, 1, 1, 7, 7, 23, 25, 55, 19, 253,
    879, 1779, 2451, 3485, 3383, 1, 3, 7, 7, 25, 33, 77, 67, 211, 571, 2029,
    161, 3747, 11275, 1, 1, 3, 3, 15, 33, 55, 121, 97, 5, 907, 1869, 8171,
    1553, 1, 1, 1, 9, 3, 33, 21, 165, 181, 211, 437, 1887, 895, 11549, 1,
    3, 5, 3, 5, 7, 103, 95, 477, 585, 1307, 1017, 4115, 6011, 1, 1, 3,
    11, 25, 45, 67, 239, 171, 869, 285, 2495, 4091, 15037, 1, 1, 3, 13, 5,
    41, 103, 17, 283, 833, 179, 1183, 3323, 9777, 1, 3, 3, 5, 13, 29, 111,
    37, 245, 329, 677, 4039, 2533, 3759, 1, 1, 7, 15, 23, 63, 115, 243, 347,
    869, 587, 3073, 7727, 399, 1, 1, 7, 7, 5, 57, 49, 39, 463, 417, 1183,
    1007, 3823, 15299, 1, 1, 1, 5, 23, 41, 65, 207, 151, 919, 1495, 2841, 1453,
    6273, 1, 1, 1, 1, 15, 19, 51, 193, 187, 711, 11, 1291, 143, 15375, 1,
    1, 3, 13, 25, 19, 3, 113, 157, 699, 1699, 1793, 29, 1869, 1, 3, 3,
    7, 7, 37, 25, 73, 353, 443, 1517, 2621, 489, 15411, 1, 1, 1, 1, 7,
    9, 91, 67, 471, 395, 1417, 431, 4793, 9517, 1, 3, 1, 5, 31, 15, 63,
    67, 109, 537, 1543, 1021, 2549, 13587, 1, 1, 1, 3, 7, 63, 127, 141, 23,
    281, 523, 283, 347, 2095, 1, 1, 7, 9, 21, 21, 71, 97, 357, 887, 1785,
    3471, 3187, 12163, 1, 3, 3, 3, 25, 23, 127, 135, 199, 661, 7, 3279, 91,
    11879, 1, 1, 7, 5, 29, 51, 41, 5, 387, 901, 233, 1559, 511, 7735, 1,
    1, 5, 9, 3, 13, 45, 119, 177, 381, 1363, 3627, 259, 771, 1, 1, 5,
    11, 5, 31, 73, 151, 487, 371, 1543, 1183, 697, 10225, 1, 3, 5, 7, 29,
    39, 125, 245, 373, 43, 583, 233, 5799, 7865, 1, 1, 7, 13, 17, 41, 47,
    7, 161, 717, 947, 2421, 1983, 12963, 1, 3, 3, 3, 31, 19, 11, 131, 217,
    533, 1407, 421, 163, 5849, 1, 1, 3, 13, 31, 49, 77, 33, 335, 627, 1135,
    4021, 6609, 819, 1, 3, 5, 5, 17, 51, 27, 83, 153, 469, 85, 2725, 4297,
    8869, 1, 3, 5, 9, 29, 7, 93, 53, 251, 579, 1243, 2689, 4655, 9247, 1,
    3, 1, 13, 9, 35, 59, 213, 181, 409, 1177, 3783, 6339, 339, 1, 1, 1,
    7, 25, 55, 111, 133, 481, 757, 1683, 2193, 681, 12141, 1, 1, 3, 13, 11,
    1, 57, 137, 359, 325, 67, 3069, 1125, 8305, 1, 1, 1, 5, 21, 11, 79,
    195, 335, 85, 1749, 1859, 4253, 6391, 1, 1, 3, 13, 17, 55, 23, 119, 159,
    843, 1677, 1725, 1139, 2051, 1, 3, 1, 11, 31, 35, 11, 49, 497, 807, 191,
    3889, 7811, 13217, 1, 3, 1, 9, 29, 63, 117, 161, 191, 371, 245, 219, 1559,
    13303, 1, 3, 3, 7, 5, 19, 37, 231, 381, 323, 233, 3973, 6531, 8807, 1,
    1, 1, 11, 3, 43, 35, 103, 291, 363, 531, 1129, 3321, 3167, 1, 3, 3,
    15, 25, 9, 47, 139, 143, 155, 2005, 1573, 2007, 6483, 1, 3, 7, 5, 25,
    3, 125, 19, 255, 699, 1651, 1449, 3753, 12873, 1, 1, 7, 5, 7, 7, 63,
    31, 255, 991, 1029, 1635, 4941, 7891, 1, 3, 3, 1, 3, 13, 59, 73, 429,
    931, 53, 711, 3305, 7621, 1, 3, 3, 5, 15, 55, 103, 159, 185, 365, 1283,
    1171, 6659, 2547, 1, 1, 5, 5, 25, 33, 91, 87, 323, 235, 1997, 1397, 6777,
    10065, 1, 3, 1, 1, 7, 35, 19, 5, 327, 163, 651, 215, 7965, 1143, 1,
    1, 1, 11, 7, 13, 69, 129, 277, 665, 1763, 33, 8145, 7131, 1, 3, 3,
    13, 17, 25, 111, 247, 91, 537, 325, 2627, 1777, 2861, 1, 3, 3, 3, 29,
    15, 87, 41, 103, 957, 105, 757, 2635, 4825, 1, 1, 3, 11, 21, 43, 73,
    143, 31, 913, 1579, 1725, 6679, 2491, 1, 3, 1, 11, 1, 31, 93, 231, 327,
    177, 921, 2715, 8015, 3295, 1, 3, 1, 3, 5, 47, 59, 1, 105, 991, 1581,
    115, 1957, 10753, 1, 3, 7, 9, 13, 31, 65, 241, 353, 613, 1065, 1201, 7267,
    2099, 1, 3, 7, 11, 5, 55, 121, 45, 279, 765, 1263, 993, 5047, 12059, 1,
    1, 7, 3, 25, 27, 13, 123, 357, 339, 1299, 297, 361, 4951, 1, 3, 5,
    3, 13, 43, 117, 237, 3, 463, 911, 3447, 7463, 5985, 1, 3, 1, 15, 13,
    1, 21, 213, 115, 291, 1317, 2201, 7939, 16135, 1, 1, 3, 15, 13, 15, 55,
    51, 203, 277, 71, 1025, 4237, 301, 1, 1, 5, 5, 17, 31, 95, 25, 7,
    519, 1971, 3069, 1937, 5693, 1, 3, 7, 5, 11, 17, 31, 111, 219, 199, 303,
    2527, 4185, 13185, 1, 3, 5, 13, 11, 17, 105, 147, 51, 885, 675, 3035, 4245,
    3257, 1, 3, 3, 5, 9, 17, 37, 139, 251, 85, 361, 2569, 2727, 14111, 1,
    3, 5, 9, 31, 5, 101, 1, 475, 645, 1515, 2713, 2771, 2981, 1, 3, 3,
    13, 21, 21, 31, 117, 511, 525, 1105, 2881, 6361, 6991, 1, 1, 5, 5, 15,
    5, 47, 11, 391, 239, 65, 1545, 691, 3973, 1, 3, 1, 1, 9, 3, 91,
    49, 505, 353, 1593, 4009, 2535, 4947, 1, 3, 1, 13, 15, 27, 45, 255, 503,
    487, 613, 3453, 655, 10083, 1, 1, 1, 9, 23, 17, 39, 219, 281, 669, 867,
    773, 2555, 12565, 1, 3, 1, 7, 21, 29, 61, 85, 441, 273, 1889, 1441, 6291,
    2599, 1, 1, 1, 7, 1, 7, 95, 9, 105, 77, 463, 701, 6001, 13491, 1,
    3, 7, 3, 29, 57, 61, 123, 105, 909, 1925, 1255, 7069, 3049, 1, 1, 3,
    11, 15, 37, 23, 25, 359, 743, 1599, 575, 4095, 11539, 1, 3, 3, 9, 17,
    33, 59, 245, 119, 457, 147, 1027, 4051, 507, 1, 3, 1, 11, 25, 59, 97,
    37, 199, 247, 985, 635, 3501, 11213, 1, 1, 5, 7, 21, 19, 17, 181, 183,
    331, 817, 1069, 3863, 7547, 1, 3, 5, 1, 11, 25, 121, 127, 105, 57, 689,
    701, 1527, 5301, 1, 1, 7, 3, 25, 59, 67, 103, 265, 649, 957, 3073, 3047,
    12881, 1, 3, 1, 3, 17, 15, 103, 37, 359, 665, 1677, 2563, 7079, 2577, 1,
    1, 1, 13, 21, 43, 117, 187, 447, 711, 749, 643, 183, 13053, 1, 3, 7,
    3, 15, 45, 23, 169, 481, 841, 625, 3241, 7739, 13463, 1, 3, 7, 9, 7,
    11, 9, 73, 57, 595, 1981, 3499, 53, 3445, 1, 3, 3, 11, 17, 13, 61,
    139, 445, 287, 705, 3157, 7503, 15279, 1, 3, 5, 5, 15, 5, 15, 117, 177,
    517, 1907, 399, 1613, 9495, 1, 3, 5, 13, 19, 37, 81, 179, 473, 477, 551,
    1235, 6503, 14401, 1, 3, 5, 7, 1, 21, 29, 181, 25, 349, 1915, 1047, 6645,
    5153, 1, 3, 1, 11, 31, 31, 13, 165, 147, 995, 1767, 4013, 4993, 51, 1,
    1, 3, 11, 19, 33, 47, 179, 465, 811, 1535, 2555, 1843, 10877, 1, 3, 5,
    7, 25, 13, 49, 105, 39, 893, 1729, 1297, 6071, 685, 1, 1, 3, 5, 3,
    17, 69, 141, 83, 393, 1377, 3401, 1749, 10307, 1, 3, 7, 7, 5, 43, 27,
    39, 61, 119, 829, 2105, 8155, 1647, 1, 1, 1, 3, 7, 61, 83, 253, 129,
    459, 1241, 569, 7457, 3635, 1, 1, 1, 5, 21, 17, 97, 213, 463, 549, 1219,
    3685, 3721, 8659, 1, 3, 7, 5, 19, 53, 45, 151, 15, 483, 1077, 1811, 4861,
    9979, 1, 1, 5, 13, 7, 21, 11, 117, 267, 723, 573, 3335, 6331, 3255, 1,
    3, 5, 3, 23, 17, 83, 171, 501, 249, 1937, 593, 3757, 6035, 30841, 1, 3,
    7, 1, 13, 15, 19, 33, 191, 509, 1461, 2105, 2175, 10593, 27199, 1, 3, 3,
    3, 9, 7, 7, 51, 199, 339, 393, 2543, 4269, 2447, 17671, 1, 3, 1, 1,
    17, 3, 71, 119, 15, 333, 1313, 2609, 1077, 2493, 23109, 1, 1, 1, 11, 7,
    45, 69, 69, 241, 995, 1111, 2141, 5467, 5003, 11135, 1, 1, 7, 11, 21, 1,
    25, 35, 445, 379, 449, 3703, 3281, 3433, 5207, 1, 3, 3, 5, 15, 49, 119,
    11, 331, 681, 1209, 161, 7969, 11115, 4775, 1, 3, 7, 15, 1, 1, 61, 131,
    141, 849, 2035, 125, 2457, 9209, 18411, 1, 1, 5, 5, 25, 17, 91, 255, 137,
    815, 1803, 3521, 181, 15683, 32099, 1, 3, 1, 11, 29, 13, 91, 129, 167, 323,
    823, 3717, 473, 7617, 5431, 1, 1, 5, 9, 17, 41, 65, 5, 57, 441, 765,
    2761, 5033, 14551, 28223, 1, 3, 1, 1, 11, 11, 35, 109, 197, 349, 1495, 4057,
    5255, 8327, 29281, 1, 1, 7, 1, 27, 33, 7, 133, 439, 329, 655, 2459, 5369,
    14681, 12271, 1, 1, 1, 13, 29, 11, 15, 71, 117, 849, 285, 3779, 1181, 6315,
    23627, 1, 3, 3, 7, 15, 33, 93, 133, 239, 169, 197, 3005, 1035, 6771, 10881,
    1, 3, 3, 13, 29, 13, 69, 157, 275, 335, 1977, 461, 8087, 10027, 6377, 1,
    3, 1, 15, 25, 23, 107, 125, 27, 455, 207, 3425, 5319, 4861, 4853, 1, 1,
    5, 15, 17, 49, 3, 129, 401, 451, 363, 553, 3999, 8115, 25621, 1, 3, 3,
    3, 9, 63, 71, 219, 331, 43, 1369, 3821, 5189, 8799, 19413, 1, 1, 3, 13,
    31, 19, 57, 127, 229, 429, 535, 591, 1135, 12559, 4219, 1, 1, 7, 3, 11,
    41, 49, 45, 423, 299, 571, 1907, 1755, 10813, 14199, 1, 3, 1, 1, 1, 41,
    53, 139, 345, 521, 1051, 691, 7367, 923, 2171, 1, 1, 7, 1, 23, 39, 21,
    241, 433, 269, 1733, 3455, 8171, 585, 9035, 1, 1, 3, 3, 15, 31, 39, 75,
    223, 827, 1799, 2699, 6927, 4251, 16799, 1, 1, 7, 11, 25, 17, 5, 199, 265,
    953, 1609, 185, 5069, 10061, 31235, 1, 3, 3, 7, 11, 17, 125, 149, 29, 149,
    1241, 3975, 2915, 13847, 8245, 1, 3, 5, 15, 19, 7, 115, 127, 325, 147, 505,
    3199, 2261, 15309, 1925, 1, 1, 3, 15, 19, 27, 45, 131, 35, 69, 275, 2895,
    8131, 6311, 15507, 1, 3, 7, 5, 5, 35, 115, 39, 343, 491, 199, 985, 7767,
    13183, 23341, 1, 3, 3, 3, 17, 19, 125, 237, 393, 1, 1763, 2129, 2221, 4993,
    23023, 1, 1, 5, 13, 1, 39, 53, 77, 43, 665, 173, 1923, 5071, 2713, 28507,
    1, 1, 3, 5, 7, 57, 77, 19, 9, 441, 1941, 475, 4059, 3977, 25689, 1,
    1, 3, 9, 23, 49, 35, 139, 189, 431, 1077, 1057, 1565, 5597, 23755, 1, 1,
    7, 1, 7, 5, 121, 69, 277, 797, 1879, 3479, 3023, 1781, 31307, 1, 1, 5,
    15, 5, 23, 75, 181, 97, 491, 399, 63, 3211, 7099, 14597, 1, 3, 1, 11,
    9, 3, 85, 159, 143, 13, 599, 3685, 4291, 11457, 24571, 1, 3, 7, 9, 23,
    45, 17, 197, 351, 997, 1789, 3965, 1163, 9027, 28843, 1, 1, 5, 15, 25, 13,
    93, 141, 395, 905, 933, 3169, 7551, 1775, 22043, 1, 3, 3, 11, 17, 47, 115,
    211, 157, 887, 1829, 767, 6821, 5243, 26423, 1, 1, 1, 1, 15, 33, 27, 239,
    405, 5, 861, 1909, 1261, 1921, 32245, 1, 1, 1, 15, 5, 15, 21, 251, 489,
    789, 507, 321, 6429, 1885, 23139, 1, 1, 1, 13, 19, 61, 59, 201, 69, 933,
    83, 1657, 1331, 16183, 23085, 1, 3, 1, 5, 29, 59, 61, 149, 95, 897, 1107,
    2853, 5271, 7069, 3759, 1, 1, 3, 9, 17, 53, 71, 183, 29, 353, 1621, 4015,
    6395, 8737, 12507, 1, 3, 3, 15, 23, 31, 77, 187, 429, 59, 117, 641, 1039,
    15113, 1177, 1, 1, 3, 7, 17, 9, 73, 37, 177, 901, 573, 2503, 5865, 13939,
    10123, 1, 3, 1, 1, 7, 21, 55, 255, 85, 993, 583, 3345, 3211, 6027, 18677,
    1, 3, 3, 1, 27, 37, 111, 235, 281, 363, 121, 3749, 7381, 14959, 22997, 1,
    1, 1, 11, 13, 19, 47, 203, 157, 975, 1173, 1389, 1021, 6481, 547, 1, 3,
    5, 11, 7, 51, 121, 99, 289, 303, 1759, 571, 3585, 2263, 21231, 1, 3, 5,
    9, 9, 7, 25, 39, 443, 635, 1597, 2095, 6739, 16367, 11285, 1, 1, 1, 9,
    5, 47, 107, 223, 389, 25, 1353, 501, 8025, 7269, 23617, 1, 1, 5, 5, 23,
    25, 59, 133, 387, 761, 835, 105, 45, 5469, 13461, 1, 1, 3, 11, 5, 33,
    121, 149, 121, 881, 603, 3455, 7667, 3039, 8471, 1, 3, 5, 9, 17, 41, 1,
    109, 67, 511, 617, 1139, 7605, 12211, 8603, 1, 1, 3, 9, 13, 27, 5, 163,
    17, 889, 199, 77, 5233, 6383, 15787, 1, 1, 1, 13, 5, 27, 45, 47, 213,
    473, 1101, 623, 6169, 3139, 27561, 1, 1, 3, 13, 15, 63, 79, 51, 47, 227,
    1771, 3167, 2975, 16075, 9117, 1, 1, 5, 5, 29, 9, 87, 213, 349, 763, 1341,
    1299, 1183, 4763, 14869, 1, 3, 7, 1, 23, 3, 37, 99, 341, 67, 1273, 3383,
    7805, 8373, 19401, 1, 3, 3, 3, 7, 25, 23, 231, 291, 591, 291, 1077, 7291,
    9763, 515, 1, 1, 1, 3, 9, 49, 99, 127, 501, 375, 995, 1883, 6229, 1141,
    16513, 1, 1, 1, 13, 21, 35, 43, 39, 405, 283, 1555, 3189, 4999, 139, 11031,
    1, 3, 3, 1, 25, 3, 29, 89, 71, 975, 435, 2513, 4667, 14859, 22495, 1,
    3, 5, 9, 27, 45, 29, 145, 97, 149, 341, 3253, 5385, 8099, 169, 1, 1,
    1, 3, 17, 49, 73, 31, 291, 191, 959, 3139, 6221, 423, 5247, 1, 3, 7,
    3, 11, 23, 25, 65, 291, 877, 15, 437, 3883, 6545, 16327, 1, 3, 1, 7,
    21, 53, 35, 143, 433, 117, 1135, 467, 6825, 16041, 3351, 1, 3, 5, 1, 11,
    57, 105, 147, 443, 1, 1879, 2963, 4041, 8929, 219, 1, 3, 3, 11, 13, 59,
    57, 175, 151, 1015, 629, 1549, 4161, 16147, 25857, 1, 1, 7, 9, 15, 27, 19,
    111, 495, 7, 1219, 2679, 3257, 7111, 23187, 1, 1, 1, 7, 5, 3, 37, 247,
    43, 223, 1681, 225, 6573, 7523, 14433, 1, 1, 3, 3, 7, 31, 71, 141, 341,
    319, 653, 3463, 963, 10133, 27313, 1, 1, 1, 11, 3, 61, 71, 9, 253, 69,
    527, 2927, 1637, 15141, 32423, 1, 3, 3, 3, 21, 41, 119, 175, 363, 629, 909,
    439, 8043, 12489, 18635, 1, 1, 5, 3, 11, 19, 73, 87, 133, 947, 537, 803,
    965, 9139, 7429, 1, 1, 7, 3, 9, 45, 113, 213, 499, 493, 811, 389, 5323,
    409, 17147, 1, 3, 1, 1, 9, 29, 61, 231, 55, 625, 1917, 3157, 4635, 11441,
    24799, 1, 3, 3, 15, 15, 11, 93, 245, 247, 405, 1123, 2639, 1739, 11957, 19131,
    1, 3, 5, 3, 19, 7, 47, 241, 97, 635, 1871, 2609, 5529, 11591, 13895, 1,
    1, 1, 11, 11, 45, 11, 13, 109, 141, 83, 2109, 3259, 7441, 25881, 1, 1,
    7, 13, 21, 61, 73, 129, 393, 175, 699, 2551, 4761, 13133, 9993, 1, 1, 7,
    1, 31, 17, 85, 57, 457, 383, 1099, 1819, 503, 1389, 28341, 1, 3, 5, 7,
    3, 17, 41, 33, 245, 815, 31, 2259, 1293, 9051, 13241, 1, 3, 7, 7, 23,
    15, 81, 77, 193, 201, 785, 1271, 3061, 4429, 26665, 1, 1, 5, 15, 29, 23,
    43, 227, 119, 843, 55, 1837, 51, 13115, 27725, 1, 3, 1, 11, 1, 33, 25,
    233, 43, 367, 705, 2323, 2721, 12845, 29415, 1, 3, 5, 1, 25, 23, 5, 233,
    507, 267, 607, 3009, 5035, 1069, 30735, 1, 1, 7, 5, 27, 5, 69, 5, 371,
    951, 657, 421, 5707, 10455, 10961, 1, 1, 3, 11, 13, 13, 71, 113, 381, 619,
    1713, 315, 7903, 4737, 24747, 1, 3, 5, 11, 15, 21, 39, 221, 9, 263, 1697,
    3189, 7095, 7769, 10915, 1, 1, 1, 1, 17, 47, 77, 27, 377, 79, 1245, 1233,
    3761, 3667, 12785, 1, 1, 3, 13, 11, 9, 89, 57, 339, 845, 393, 1717, 3415,
    5725, 28655, 1, 3, 7, 3, 11, 61, 89, 37, 59, 117, 883, 1911, 4513, 561,
    31273, 1, 1, 1, 13, 21, 29, 9, 147, 109, 783, 1647, 2147, 7285, 4035, 8181,
    1, 3, 1, 13, 29, 15, 95, 71, 319, 489, 601, 1731, 7927, 9115, 32607, 1,
    1, 3, 13, 1, 59, 53, 193, 105, 653, 249, 3285, 7817, 4157, 13299, 1, 1,
    7, 15, 5, 63, 5, 111, 427, 781, 1077, 1267, 7253, 4883, 24539, 1, 1, 1,
    5, 15, 13, 97, 187, 175, 617, 931, 3675, 8085, 14433, 22179, 1, 3, 3, 13,
    29, 29, 7, 45, 295, 185, 15, 3171, 5701, 11099, 8663, 1, 3, 5, 15, 21,
    47, 37, 189, 447, 123, 1979, 3633, 4875, 12667, 2349, 1, 3, 1, 3, 17, 37,
    97, 167, 207, 347, 499, 129, 3131, 6649, 10051, 1, 3, 7, 13, 21, 21, 15,
    125, 405, 175, 89, 3299, 1321, 15595, 26015, 1, 1, 5, 1, 25, 21, 11, 25,
    351, 1011, 753, 1813, 2229, 9675, 10073, 1, 3, 5, 1, 21, 49, 61, 241, 303,
    833, 653, 259, 4397, 545, 24857, 1, 1, 5, 5, 27, 61, 99, 181, 415, 945,
    763, 1207, 5413, 11447, 11117, 1, 1, 3, 3, 27, 11, 5, 197, 211, 971, 1991,
    4007, 2337, 2683, 27371, 1, 1, 5, 3, 5, 39, 25, 59, 223, 117, 1543, 2527,
    2673, 15411, 8769, 1, 3, 7, 11, 31, 7, 33, 7, 319, 679, 685, 953, 491,
    251, 16333, 1, 1, 5, 5, 1, 15, 69, 87, 447, 363, 1883, 937, 2691, 14777,
    19757, 1, 1, 1, 1, 11, 51, 21, 183, 143, 577, 819, 3693, 5421, 9105, 10465,
    1, 1, 7, 1, 7, 7, 25, 131, 63, 881, 931, 2039, 1371, 7479, 7009, 1,
    1, 5, 5, 17, 37, 121, 101, 133, 829, 495, 1031, 6843, 13863, 6543, 1, 1,
    1, 9, 5, 53, 15, 11, 215, 295, 1401, 1633, 395, 201, 18941, 1, 3, 7,
    7, 21, 39, 107, 153, 139, 557, 683, 1993, 3495, 9929, 12067, 1, 3, 3, 13,
    27, 57, 63, 151, 13, 827, 1079, 1209, 5631, 9627, 4765, 1, 1, 3, 13, 9,
    9, 75, 209, 437, 475, 1905, 3021, 7097, 10637, 13301, 1, 1, 3, 1, 21, 43,
    45, 7, 467, 825, 1189, 1525, 3295, 2575, 12071, 1, 3, 3, 1, 25, 57, 23,
    243, 79, 39, 881, 467, 4183, 13881, 26719, 1, 1, 1, 11, 27, 41, 79, 223,
    443, 489, 1531, 3671, 7905, 9593, 175, 1, 3, 3, 5, 1, 25, 89, 151, 165,
    681, 1099, 665, 1209, 13617, 15259, 1, 3, 3, 3, 17, 25, 13, 85, 179, 335,
    951, 4085, 3251, 15061, 14609, 1, 1, 5, 11, 15, 25, 89, 135, 27, 323, 1143,
    7, 3569, 6841, 9243, 1, 1, 7, 5, 13, 43, 83, 23, 477, 229, 1623, 2641,
    1235, 681, 17379, 1, 3, 1, 13, 1, 17, 77, 125, 121, 253, 1329, 1081, 1191,
    7477, 13441, 1, 1, 7, 15, 5, 61, 23, 251, 407, 373, 1399, 1907, 4145, 15997,
    12069, 1, 1, 3, 7, 9, 27, 85, 209, 21, 225, 745, 1405, 813, 1605, 17463,
    1, 1, 7, 5, 19, 47, 111, 215, 335, 211, 1437, 425, 2325, 15761, 13937, 1,
    3, 5, 9, 31, 21, 113, 89, 369, 165, 1673, 3143, 6765, 13897, 15295, 1, 3,
    1, 1, 23, 57, 97, 9, 219, 513, 1001, 1903, 6033, 4561, 8157, 1, 3, 5,
    13, 17, 59, 125, 93, 397, 277, 1273, 529, 3881, 3345, 32553, 1, 3, 1, 3,
    29, 3, 73, 201, 129, 747, 1417, 77, 4399, 10283, 3677, 1, 3, 5, 11, 15,
    13, 15, 193, 139, 683, 839, 1849, 1229, 7903, 15797, 1, 1, 7, 1, 19, 37,
    103, 173, 63, 269, 1125, 425, 1235, 4193, 10095, 1, 3, 1, 3, 31, 33, 101,
    71, 333, 565, 651, 1741, 3613, 2641, 27201, 1, 1, 7, 7, 9, 43, 111, 231,
    383, 221, 1239, 1927, 715, 7663, 24709, 1, 1, 7, 1, 3, 41, 117, 129, 53,
    527, 1973, 3377, 2803, 10855, 9405, 1, 3, 5, 15, 15, 61, 29, 75, 141, 517,
    255, 1797, 1291, 13859, 10255, 1, 1, 5, 9, 1, 55, 99, 133, 9, 793, 1525,
    2565, 1755, 7293, 27221, 1, 3, 7, 1, 19, 25, 113, 47, 117, 285, 1937, 513,
    75, 2149, 25369, 1, 3, 3, 7, 3, 45, 1, 145, 501, 197, 423, 1131, 4649,
    11027, 25237, 1, 1, 1, 9, 29, 49, 17, 85, 137, 765, 649, 809, 103, 7537,
    5603, 1, 3, 1, 13, 23, 63, 85, 83, 135, 495, 2023, 2331, 1743, 16221, 2421,
    1, 1, 1, 3, 25, 15, 75, 123, 309, 729, 481, 2335, 6963, 16309, 24593, 1,
    3, 1, 7, 1, 3, 41, 57, 353, 821, 1439, 3445, 2295, 15269, 15821, 1, 3,
    7, 1, 19, 41, 107, 159, 361, 1017, 1435, 2593, 3849, 1139, 5059, 1, 1, 7,
    5, 23, 63, 23, 67, 263, 939, 1167, 3367, 2003, 7903, 1361, 1, 3, 5, 15,
    11, 21, 109, 135, 219, 183, 1303, 2023, 6471, 8203, 21717, 1, 3, 3, 11, 11,
    7, 109, 183, 313, 701, 1661, 2215, 7993, 6097, 15583, 1, 1, 7, 9, 5, 55,
    85, 123, 507, 303, 1701, 767, 313, 12517, 10969, 1, 3, 1, 15, 1, 31, 97,
    249, 407, 829, 693, 135, 5929, 13287, 23105, 1, 3, 3, 15, 23, 45, 13, 209,
    365, 715, 827, 1451, 3817, 9039, 8601, 1, 1, 5, 3, 3, 5, 41, 175, 65,
    467, 179, 1941, 2261, 14143, 10277, 1, 1, 7, 1, 15, 61, 37, 231, 275, 69,
    7, 417, 8131, 12569, 16275, 1, 1, 7, 11, 3, 49, 1, 243, 237, 303, 2033,
    1501, 8059, 1479, 1675, 1, 1, 3, 5, 21, 49, 87, 5, 235, 343, 1635, 3459,
    3961, 14433, 10965, 1, 1, 7, 13, 29, 5, 105, 167, 57, 247, 1683, 1011, 2071,
    10681, 679, 1, 1, 3, 7, 11, 31, 39, 19, 501, 945, 2043, 3591, 657, 8087,
    21159, 1, 3, 5, 9, 7, 23, 3, 5, 35, 101, 409, 3769, 7163, 739, 28421,
    1, 3, 5, 1, 23, 61, 65, 105, 303, 765, 1483, 883, 5743, 13479, 21489, 1,
    1, 7, 13, 11, 5, 17, 237, 105, 539, 1237, 2727, 3781, 13195, 17029, 1, 3,
    3, 15, 15, 23, 47, 129, 485, 797, 705, 931, 3865, 5029, 27847, 1, 3, 5,
    13, 23, 61, 77, 221, 155, 429, 1933, 3007, 8001, 2137, 15737, 1, 3, 3, 15,
    3, 57, 79, 95, 419, 953, 449, 1843, 6893, 1061, 28427, 1, 3, 3, 9, 19,
    9, 39, 5, 189, 3, 181, 3091, 4215, 14881, 18273, 1, 1, 3, 13, 17, 63,
    27, 49, 483, 947, 173, 3667, 3529, 15343, 23189, 1, 1, 3, 9, 17, 51, 37,
    245, 177, 231, 689, 29, 1029, 12397, 26265, 1, 3, 1, 13, 15, 35, 55, 5,
    303, 559, 1853, 3859, 1879, 3167, 6903, 1, 3, 3, 9, 9, 47, 59, 163, 373,
    621, 1349, 2661, 1787, 13611, 28199, 1, 3, 3, 9, 15, 55, 93, 193, 267, 325,
    1705, 155, 3001, 407, 20829, 1, 3, 5, 15, 13, 9, 65, 123, 325, 313, 25,
    991, 2227, 6597, 30453, 1, 1, 5, 1, 23, 51, 61, 229, 27, 285, 1185, 1943,
    7603, 10565, 22741, 1, 3, 7, 3, 17, 43, 21, 153, 359, 437, 1275, 3589, 1089,
    3941, 16777, 1, 3, 5, 3, 19, 43, 127, 213, 181, 255, 929, 2553, 1101, 231,
    2977, 1, 3, 7, 11, 7, 49, 39, 209, 141, 691, 1903, 1211, 687, 13107, 17055,
    1, 1, 5, 1, 15, 21, 65, 209, 305, 65, 1383, 2247, 5813, 8961, 16281, 1,
    3, 7, 11, 27, 1, 71, 97, 129, 317, 601, 981, 1947, 8897, 23489, 1, 1,
    3, 9, 17, 35, 57, 37, 243, 217, 703, 3159, 4791, 1365, 14885, 1, 3, 5,
    7, 7, 43, 59, 253, 141, 537, 547, 955, 5351, 13087, 5465, 1, 1, 5, 9,
    15, 53, 47, 105, 55, 1017, 819, 3355, 3653, 11051, 29509, 1, 1, 3, 7, 17,
    39, 13, 125, 161, 985, 1753, 1327, 7635, 11045, 3935, 1, 1, 7, 9, 1, 19,
    55, 227, 111, 347, 85, 3871, 7153, 10527, 3137, 1, 3, 5, 9, 13, 7, 35,
    25, 17, 269, 611, 1523, 3539, 15611, 11837, 1, 1, 5, 7, 29, 13, 109, 253,
    355, 25, 243, 1433, 7463, 10149, 31469, 1, 3, 3, 15, 1, 51, 85, 27, 137,
    299, 1943, 3805, 2661, 8091, 385, 1, 1, 5, 11, 19, 39, 103, 89, 285, 305,
    1157, 149, 6661, 1423, 27163, 1, 1, 7, 9, 25, 35, 7, 227, 125, 811, 1867,
    1851, 5271, 11405, 21457, 1, 1, 7, 1, 31, 19, 103, 239, 301, 395, 1737, 3467,
    7153, 12437, 25795, 1, 3, 3, 15, 25, 43, 69, 155, 437, 9, 863, 2497, 6857,
    3947, 12231, 1, 3, 7, 11, 3, 63, 27, 207, 87, 727, 791, 1663, 8121, 13149,
    3927, 1, 3, 1, 7, 9, 19, 123, 131, 415, 565, 1571, 1085, 2989, 13693, 32487,
    1, 3, 7, 9, 11, 27, 117, 63, 255, 297, 1147, 1501, 3435, 5861, 21351, 1,
    3, 1, 5, 19, 5, 115, 89, 153, 705, 1233, 1803, 7237, 983, 9299, 1, 3,
    3, 13, 21, 13, 89, 135, 5, 221, 191, 2611, 6007, 9177, 11101, 1, 3, 7,
    15, 9, 43, 123, 123, 301, 233, 1727, 3973, 5241, 13437, 24507, 1, 3, 3, 5,
    19, 29, 33, 127, 185, 319, 1767, 1133, 95, 7745, 32213, 1, 3, 7, 11, 13,
    1, 91, 189, 75, 91, 583, 2317, 5257, 12133, 1951, 1, 1, 3, 9, 23, 23,
    65, 7, 157, 143, 781, 997, 2357, 4907, 16797, 1, 1, 1, 11, 5, 43, 45,
    131, 331, 253, 1975, 415, 2571, 14905, 9595, 1, 3, 7, 11, 1, 11, 95, 133,
    393, 117, 833, 2661, 1683, 14333, 26279, 1, 3, 7, 5, 23, 51, 57, 9, 63,
    377, 2043, 1967, 7039, 13783, 16075, 1, 3, 5, 5, 13, 49, 65, 59, 449, 665,
    2017, 375, 3781, 15139, 26341, 1, 1, 7, 13, 15, 63, 83, 229, 465, 319, 469,
    951, 2405, 15357, 6051, 1, 3, 3, 7, 15, 37, 97, 37, 89, 717, 449, 1821,
    3319, 4957, 5455, 1, 1, 5, 3, 3, 7, 55, 39, 131, 497, 349, 4083, 6695,
    14939, 13979, 1, 3, 3, 7, 15, 45, 109, 239, 415, 453, 729, 835, 4585, 12751,
    8595, 1, 1, 7, 9, 29, 1, 13, 85, 185, 419, 1269, 981, 5079, 2723, 5275,
    1, 1, 7, 11, 7, 41, 121, 75, 91, 943, 1487, 995, 6815, 15881, 27113, 1,
    1, 7, 9, 1, 53, 83, 209, 327, 547, 1505, 1517, 6105, 5903, 13823, 1, 1,
    3, 15, 25, 1, 33, 61, 249, 367, 1733, 3351, 273, 10053, 27115, 1, 3, 3,
    11, 29, 27, 75, 143, 103, 509, 813, 1881, 2631, 933, 31141, 1, 3, 3, 7,
    31, 9, 27, 69, 291, 927, 183, 1755, 7383, 7721, 4405, 1, 3, 1, 11, 25,
    23, 89, 99, 101, 725, 1791, 2669, 7055, 6703, 27507, 1, 3, 5, 15, 1, 41,
    23, 103, 123, 863, 1643, 947, 1349, 549, 29299, 1, 1, 3, 3, 9, 53, 67,
    187, 203, 565, 1455, 645, 7983, 5311, 8827, 1, 1, 3, 7, 11, 29, 35, 207,
    449, 537, 245, 945, 4067, 10961, 27301, 1, 3, 1, 13, 3, 23, 15, 171, 439,
    217, 1245, 3301, 289, 6895, 30095, 1, 3, 5, 9, 21, 47, 71, 191, 425, 11,
    1831, 3111, 7399, 13689, 28163, 1, 1, 5, 15, 5, 61, 97, 41, 451, 459, 1007,
    2439, 5613, 7985, 9255, 1, 1, 1, 1, 9, 57, 61, 143, 3, 753, 1839, 2623,
    5261, 6169, 13195, 1, 1, 1, 3, 19, 23, 15, 31, 481, 123, 653, 2763, 5663,
    12771, 7469, 1, 1, 1, 11, 17, 55, 111, 181, 293, 9, 41, 3625, 2865, 9109,
    14261, 1, 1, 5, 15, 27, 13, 45, 109, 321, 609, 551, 4071, 6467, 8245, 6889,
    1, 1, 1, 11, 23, 15, 75, 9, 261, 189, 287, 2479, 2319, 2647, 3415, 1,
    3, 1, 3, 31, 47, 45, 73, 439, 789, 687, 3205, 863, 2471, 27997, 1, 3,
    3, 13, 17, 47, 111, 205, 307, 299, 439, 965, 6093, 3215, 29381, 1, 1, 7,
    11, 11, 31, 119, 93, 385, 149, 843, 3081, 6793, 4427, 23967, 1, 3, 7, 11,
    7, 9, 27, 135, 465, 169, 1229, 1491, 3527, 13801, 13187, 1, 3, 7, 1, 27,
    43, 9, 213, 95, 273, 1067, 1819, 4087, 15955, 7865, 1, 1, 3, 5, 25, 53,
    49, 15, 159, 713, 203, 1599, 4807, 7275, 20589, 1, 3, 1, 7, 9, 33, 5,
    41, 289, 611, 153, 1019, 5571, 8459, 2903, 1, 1, 5, 11, 5, 9, 9, 245,
    205, 821, 73, 2907, 2061, 10255, 24837, 1, 3, 3, 15, 3, 29, 79, 139, 57,
    181, 741, 667, 3251, 15741, 2349, 1, 1, 7, 11, 15, 31, 63, 115, 475, 801,
    195, 155, 2167, 9215, 11041, 1, 3, 7, 3, 7, 45, 17, 151, 353, 751, 373,
    1523, 6271, 10307, 637, 1, 1, 1, 13, 15, 59, 99, 143, 261, 349, 327, 3931,
    3365, 12179, 3017, 1, 3, 5, 1, 27, 13, 105, 127, 177, 857, 405, 185, 5793,
    8043, 11671, 1, 1, 7, 5, 9, 51, 127, 47, 421, 687, 961, 1413, 6619, 3459,
    9093, 1, 1, 7, 11, 15, 45, 7, 123, 479, 55, 491, 2901, 5183, 6081, 31719,
    1, 3, 3, 13, 3, 49, 29, 147, 453, 659, 753, 233, 251, 12445, 6573, 1,
    1, 3, 9, 7, 41, 3, 59, 187, 37, 1503, 4079, 5687, 16213, 9573, 1, 3,
    7, 13, 19, 49, 75, 173, 219, 889, 859, 2021, 2249, 4031, 29485, 1, 3, 7,
    9, 3, 21, 37, 79, 277, 307, 465, 1219, 4099, 5285, 27883, 1, 3, 5, 3,
    19, 49, 97, 7, 483, 995, 775, 883, 2011, 16321, 31869, 1, 3, 7, 1, 25,
    59, 113, 177, 507, 911, 1251, 571, 917, 2655, 31463, 1, 3, 1, 5, 15, 23,
    47, 79, 401, 245, 317, 1033, 3377, 2605, 13021, 1, 1, 3, 7, 3, 1, 41,
    253, 507, 283, 707, 1305, 2353, 5721, 15469, 1, 3, 1, 7, 25, 25, 15, 79,
    193, 235, 1981, 2059, 2057, 1647, 5443, 1, 1, 1, 3, 7, 37, 51, 169, 163,
    223, 457, 1841, 857, 15847, 27369, 1, 1, 3, 11, 23, 49, 93, 89, 347, 213,
    615, 1305, 885, 6195, 6659, 1, 3, 7, 9, 9, 27, 3, 217, 337, 977, 1109,
    1915, 677, 8927, 4449, 1, 1, 7, 5, 11, 39, 23, 189, 467, 735, 817, 2269,
    5959, 2933, 15667, 1, 1, 5, 5, 21, 33, 21, 241, 75, 751, 671, 3053, 7865,
    4261, 13455, 1, 3, 1, 7, 25, 11, 21, 149, 429, 275, 1815, 1153, 4471, 14993,
    3543, 1, 3, 5, 1, 3, 47, 9, 113, 423, 205, 1905, 57, 6157, 6335, 7425,
    1, 1, 7, 11, 17, 13, 97, 99, 145, 319, 945, 1559, 3379, 12559, 22479, 1,
    1, 7, 9, 3, 47, 105, 251, 87, 293, 1191, 2211, 4631, 8443, 11789, 1, 1,
    1, 3, 5, 1, 41, 115, 331, 401, 1649, 179, 1639, 16241, 18481, 1, 3, 1,
    7, 15, 33, 117, 121, 81, 807, 1897, 1731, 2793, 12531, 8863, 1, 3, 1, 13,
    1, 41, 83, 5, 331, 423, 855, 1327, 5799, 3679, 21461, 1, 3, 1, 3, 19,
    37, 75, 39, 413, 123, 1073, 2299, 5379, 12805, 3527, 1, 3, 3, 1, 7, 17,
    25, 227, 383, 501, 673, 2609, 1843, 3367, 9901, 1, 1, 7, 11, 25, 29, 95,
    33, 431, 257, 1013, 3755, 2813, 15247, 1045, 1, 1, 7, 3, 15, 25, 79, 67,
    175, 697, 1867, 1967, 8023, 2017, 15449, 1, 3, 3, 1, 21, 25, 67, 177, 479,
    81, 495, 3531, 1997, 5169, 15861, 1, 3, 3, 9, 7, 23, 57, 97, 7, 917,
    1969, 3421, 2149, 11379, 1035, 1, 1, 5, 9, 5, 45, 51, 29, 289, 49, 1311,
    4005, 3619, 12337, 7693, 1, 3, 1, 7, 25, 9, 11, 23, 281, 517, 1309, 2719,
    3133, 529, 21795, 1, 3, 3, 1, 5, 43, 79, 87, 389, 189, 547, 3161, 4765,
    10751, 15557, 1, 3, 1, 13, 29, 11, 5, 75, 453, 323, 999, 341, 6991, 14803,
    31057, 1, 1, 5, 11, 7, 3, 81, 201, 195, 221, 1949, 2205, 2273, 12029, 21089,
    1, 1, 7, 1, 25, 53, 7, 135, 7, 179, 797, 567, 1459, 9773, 2839, 1,
    1, 3, 7, 31, 27, 41, 253, 273, 749, 1605, 2259, 7171, 11861, 11769, 1, 1,
    1, 5, 13, 49, 25, 131, 397, 783, 1849, 3585, 2727, 8213, 14849, 1, 3, 5,
    1, 25, 35, 121, 159, 27, 305, 1841, 1893, 829, 11659, 9859, 1, 1, 5, 5,
    3, 11, 79, 49, 95, 755, 1011, 2247, 5731, 12975, 20241, 1, 1, 5, 3, 25,
    5, 103, 35, 337, 619, 35, 3655, 5137, 4867, 6055, 1, 1, 7, 1, 15, 35,
    67, 113, 381, 1001, 177, 3981, 1059, 4433, 26845, 1, 3, 7, 9, 19, 3, 107,
    161, 109, 129, 1447, 4053, 7435, 3483, 7595, 1, 1, 7, 9, 13, 25, 19, 137,
    149, 191, 719, 1279, 6129, 6367, 9335, 1, 3, 5, 11, 19, 55, 19, 191, 31,
    341, 485, 1165, 501, 11771, 17423, 1, 3, 7, 1, 21, 35, 115, 163, 99, 581,
    1769, 1887, 6349, 13467, 10503, 1, 1, 7, 3, 23, 21, 105, 255, 501, 171, 1689,
    1747, 2603, 11783, 7633, 1, 1, 7, 7, 9, 45, 65, 95, 47, 163, 1597, 2693,
    7407, 8155, 13645, 1, 1, 1, 1, 9, 5, 105, 55, 217, 773, 43, 741, 1093,
    8087, 8003, 1, 3, 5, 15, 19, 29, 127, 29, 23, 27, 2011, 623, 2649, 2979,
    269, 1, 3, 3, 15, 3, 17, 121, 85, 313, 333, 89, 1, 1147, 15909, 24017,
    1, 3, 5, 13, 17, 53, 89, 27, 219, 451, 629, 2539, 4151, 4811, 17057, 1,
    1, 1, 3, 31, 47, 127, 63, 85, 387, 61, 685, 1103, 1257, 19305, 1, 3,
    7, 11, 25, 7, 39, 209, 449, 667, 227, 605, 987, 1699, 11001, 1, 3, 5,
    15, 23, 35, 15, 193, 25, 1021, 1371, 3015, 7837, 14087, 21779, 1, 1, 5, 1,
    1, 25, 25, 241, 493, 901, 1261, 261, 6959, 16013, 2849, 1, 3, 1, 5, 13,
    27, 85, 41, 139, 567, 753, 3255, 5633, 15687, 3019, 1, 1, 3, 11, 19, 61,
    43, 153, 299, 931, 1481, 203, 593, 5019, 28309, 1, 3, 7, 7, 9, 11, 107,
    243, 227, 69, 605, 3761, 1091, 4503, 21203, 1, 3, 5, 11, 11, 55, 47, 167,
    291, 883, 1411, 3099, 1099, 11619, 9781, 1, 3, 7, 15, 23, 53, 109, 247, 459,
    793, 839, 3069, 1829, 5151, 26255, 1, 3, 1, 15, 11, 31, 73, 193, 341, 791,
    187, 3787, 4481, 11435, 715, 1, 3, 1, 13, 13, 61, 79, 193, 455, 571, 1277,
    1565, 7385, 4393, 27447, 1, 3, 7, 3, 13, 35, 39, 89, 335, 701, 1423, 2441,
    2895, 2795, 28511, 1, 3, 1, 1, 9, 27, 39, 163, 127, 163, 1881, 1995, 2629,
    4541, 1669, 1, 1, 5, 3, 5, 53, 29, 223, 433, 643, 1035, 2339, 5947, 3047,
    27409, 1, 3, 1, 15, 5, 35, 47, 49, 347, 579, 551, 2285, 3171, 8041, 8223,
    1, 1, 1, 1, 1, 57, 51, 219, 339, 95, 1585, 2811, 4771, 1475, 7919, 1,
    3, 7, 3, 21, 11, 51, 143, 111, 475, 1669, 3717, 6579, 7161, 9491, 1, 3,
    1, 5, 1, 17, 15, 179, 485, 587, 571, 3259, 3299, 207, 2121, 1, 3, 5,
    13, 27, 19, 23, 47, 289, 997, 523, 3183, 8087, 2621, 31471, 1, 1, 3, 7,
    23, 21, 125, 181, 393, 177, 419, 2809, 6727, 1063, 10889, 1, 3, 5, 1, 19,
    29, 115, 149, 439, 125, 7, 2173, 6691, 4063, 8193, 1, 1, 3, 11, 3, 17,
    9, 251, 493, 977, 1713, 2711, 4377, 3171, 22195, 1, 1, 3, 1, 17, 63, 73,
    141, 323, 875, 713, 2133, 3283, 10039, 11431, 1, 1, 7, 5, 29, 33, 63, 19,
    191, 915, 1523, 3505, 2431, 9531, 5253, 1, 3, 5, 5, 15, 25, 81, 97, 455,
    141, 1947, 2001, 6015, 11439, 29725, 1, 1, 1, 1, 7, 35, 71, 205, 485, 495,
    345, 1991, 6905, 12535, 2209, 1, 1, 7, 15, 27, 23, 19, 119, 347, 519, 423,
    1567, 7783, 15095, 23609, 1, 3, 7, 1, 23, 13, 23, 239, 199, 575, 1149, 771,
    3779, 12437, 32301, 1, 3, 5, 3, 31, 55, 87, 111, 233, 633, 1037, 4053, 2007,
    15197, 31531, 1, 1, 1, 7, 3, 47, 11, 169, 293, 959, 903, 2129, 1049, 1311,
    4027, 1, 3, 3, 7, 1, 15, 37, 79, 299, 989, 969, 2699, 4531, 8455, 30613,
    1, 3, 1, 15, 13, 25, 57, 237, 117, 659, 517, 1821, 4755, 6745, 13269, 1,
    3, 7, 11, 3, 27, 53, 197, 285, 897, 5, 675, 255, 5999, 7629, 1, 3,
    7, 7, 21, 21, 71, 117, 347, 251, 1025, 2455, 7177, 9135, 15569, 1, 3, 1,
    3, 25, 7, 113, 229, 243, 173, 1903, 427, 2743, 2245, 12783, 1, 1, 1, 15,
    11, 53, 45, 209, 181, 147, 183, 3133, 4793, 14731, 16491, 1, 3, 7, 5, 27,
    45, 77, 211, 89, 555, 1829, 4073, 839, 12079, 27745, 1, 1, 3, 7, 1, 29,
    17, 65, 47, 995, 85, 69, 641, 4139, 1221, 1, 3, 3, 3, 11, 57, 11,
    69, 285, 837, 1129, 3465, 323, 4599, 6593, 1, 3, 5, 7, 19, 27, 1, 197,
    259, 315, 567, 613, 5385, 4495, 13507, 1, 3, 3, 7, 13, 63, 3, 81, 363,
    67, 1025, 1403, 4469, 9881, 3563, 1, 1, 1, 5, 23, 1, 103, 51, 445, 1017,
    361, 811, 4555, 6013, 25117, 1, 1, 1, 11, 21, 33, 73, 13, 155, 419, 371,
    499, 3003, 7577, 19191, 1, 1, 1, 13, 19, 57, 91, 251, 157, 551, 1529, 2649,
    7785, 4357, 18533, 1, 1, 1, 15, 29, 23, 33, 139, 495, 87, 1291, 1441, 819,
    321, 24597, 1, 1, 5, 7, 11, 21, 127, 135, 395, 511, 213, 4043, 5869, 5733,
    23157, 1, 3, 5, 5, 1, 61, 99, 155, 415, 111, 1335, 241, 1935, 7457, 7127,
    1, 1, 3, 7, 25, 43, 69, 97, 423, 989, 1433, 107, 7253, 6543, 1685, 1,
    3, 1, 3, 9, 51, 77, 69, 1, 75, 1859, 3735, 1199, 13725, 6689, 1, 3,
    5, 7, 13, 7, 103, 91, 465, 675, 1221, 2853, 6785, 7113, 12671, 1, 3, 1,
    15, 9, 9, 75, 17, 357, 559, 1021, 1023, 779, 10805, 12707, 1, 3, 5, 1,
    19, 41, 25, 209, 61, 225, 533, 2661, 6735, 4877, 20085, 1, 1, 5, 7, 29,
    35, 61, 21, 203, 689, 1431, 2009, 3475, 2103, 19457, 1, 1, 3, 9, 7, 51,
    119, 115, 357, 969, 779, 2407, 1669, 4671, 21945, 1, 1, 5, 13, 5, 33, 125,
    61, 123, 569, 7, 2389, 3325, 15701, 16931, 1, 1, 3, 7, 13, 29, 7, 205,
    397, 861, 1035, 675, 5963, 9229, 14537, 1, 3, 7, 5, 13, 41, 69, 25, 461,
    745, 189, 3239, 4515, 2717, 22815, 1, 1, 1, 7, 29, 47, 49, 91, 403, 325,
    1241, 2295, 6371, 6791, 911, 1, 1, 1, 5, 13, 47, 83, 161, 371, 779, 1935,
    3445, 735, 1963, 17267, 1, 3, 7, 7, 19, 59, 41, 217, 71, 407, 1639, 4081,
    8011, 4805, 1847, 1, 1, 7, 9, 21, 11, 113, 151, 269, 119, 615, 2657, 1835,
    16071, 7475, 1, 1, 1, 13, 13, 53, 121, 231, 419, 439, 1287, 3043, 8187, 4355,
    16377, 1, 1, 1, 3, 1, 51, 69, 49, 403, 549, 659, 501, 7497, 9461, 8813,
    1, 3, 3, 9, 15, 13, 11, 65, 241, 77, 675, 2077, 927, 11841, 2527, 1,
    1, 5, 9, 23, 35, 113, 33, 497, 1001, 1105, 2157, 1209, 7821, 20345, 1, 1,
    1, 5, 23, 39, 81, 151, 259, 491, 1129, 1115, 4501, 5513, 20347, 1, 1, 5,
    1, 11, 59, 55, 195, 157, 915, 35, 489, 2805, 9059, 14757, 1, 3, 5, 15,
    9, 21, 91, 59, 425, 127, 1939, 2763, 1243, 4303, 4549, 1, 1, 5, 13, 19,
    29, 127, 251, 91, 419, 333, 2943, 1649, 8653, 32401, 1, 3, 1, 11, 13, 13,
    73, 153, 131, 675, 1235, 1565, 2153, 3999, 3075, 1, 1, 5, 13, 1, 29, 111,
    229, 23, 649, 1017, 2257, 1967, 9839, 21179, 1, 1, 3, 9, 13, 59, 39, 243,
    453, 51, 801, 727, 5391, 11987, 12431, 1, 1, 7, 5, 9, 7, 59, 203, 177,
    255, 1525, 1869, 5187, 135, 11205, 1, 1, 5, 5, 17, 49, 115, 101, 45, 385,
    1751, 883, 7437, 3839, 7997, 1, 1, 1, 13, 11, 17, 99, 127, 457, 333, 395,
    1387, 4533, 2247, 5999, 1, 3, 7, 7, 15, 61, 103, 217, 175, 133, 1721, 1735,
    8083, 14973, 20891, 1, 1, 1, 13, 31, 35, 69, 53, 191, 671, 1339, 1677, 4463,
    1951, 28129, 1, 3, 3, 15, 19, 13, 73, 171, 481, 981, 343, 1831, 2967, 1801,
    9923, 1, 1, 7, 7, 9, 29, 57, 113, 425, 705, 673, 3749, 1883, 12295, 9669,
    1, 3, 1, 3, 13, 35, 23, 35, 303, 281, 773, 3053, 3841, 7943, 5023, 1,
    1, 7, 15, 11, 27, 85, 163, 349, 289, 297, 3043, 6469, 12029, 8087, 1, 1,
    5, 15, 27, 47, 3, 51, 87, 583, 893, 971, 6859, 7459, 6931, 1, 3, 3,
    15, 21, 57, 65, 141, 129, 345, 745, 2281, 4753, 2899, 1891, 1, 1, 1, 11,
    7, 3, 87, 127, 133, 243, 241, 557, 6537, 1645, 24843, 1, 1, 7, 1, 7,
    37, 91, 9, 337, 787, 1833, 3259, 1335, 6365, 30259, 1, 1, 1, 9, 7, 3,
    127, 41, 41, 377, 1633, 3031, 4483, 12555, 23921, 1, 1, 7, 1, 21, 9, 77,
    243, 373, 289, 715, 2323, 2549, 8891, 22603, 1, 1, 1, 5, 19, 53, 81, 83,
    111, 593, 1041, 499, 5849, 1261, 9561, 1, 3, 5, 15, 11, 45, 13, 217, 309,
    249, 1597, 2829, 2185, 11919, 22975, 1, 1, 1, 3, 31, 3, 69, 105, 449, 339,
    1705, 551, 1701, 1163, 22551, 1, 1, 3, 7, 29, 23, 115, 119, 25, 425, 225,
    1379, 1443, 9549, 31083, 1, 1, 7, 11, 31, 37, 121, 29, 367, 171, 1611, 3147,
    4887, 15191, 27943, 1, 1, 5, 1, 25, 11, 39, 137, 251, 557, 1833, 2803, 2081,
    819, 12493, 1, 1, 1, 3, 17, 19, 87, 123, 333, 215, 685, 1235, 2327, 5927,
    16909, 1, 1, 7, 7, 5, 31, 127, 205, 197, 671, 1101, 1767, 7871, 4157, 31301,
    1, 1, 5, 5, 17, 5, 23, 175, 363, 831, 563, 2599, 7081, 11695, 10301, 1,
    3, 3, 1, 21, 55, 97, 163, 443, 533, 1889, 1431, 6671, 14699, 26863, 1, 3,
    5, 15, 27, 15, 7, 215, 7, 557, 819, 3855, 619, 10185, 23715, 1, 3, 7,
    1, 17, 23, 25, 59, 369, 675, 463, 809, 8097, 9263, 8907, 1, 1, 1, 3,
    1, 29, 63, 65, 103, 659, 1883, 1141, 641, 6083, 16237, 1, 1, 1, 3, 5,
    41, 13, 143, 349, 811, 1645, 1871, 3385, 12795, 25105, 1, 1, 1, 15, 17, 7,
    73, 195, 439, 85, 1701, 3989, 1619, 5319, 20593, 1, 1, 3, 15, 1, 9, 61,
    223, 441, 543, 765, 3477, 2569, 6061, 25353, 1, 1, 3, 11, 29, 63, 9, 149,
    307, 705, 871, 2975, 4145, 431, 14483, 1, 1, 1, 3, 11, 7, 103, 85, 389,
    719, 1201, 3139, 2941, 13867, 1915, 1, 1, 3, 3, 21, 27, 65, 59, 223, 335,
    1845, 1315, 3619, 1851, 4313, 1, 3, 7, 13, 21, 21, 19, 181, 39, 89, 1703,
    791, 597, 3349, 14387, 1, 3, 5, 3, 9, 19, 49, 253, 61, 313, 1763, 629,
    1951, 16157, 14435, 1, 1, 5, 13, 23, 41, 45, 107, 111, 287, 1829, 33, 5433,
    7283, 20573, 1, 3, 3, 5, 17, 43, 117, 55, 275, 763, 1581, 2349, 1219, 16145,
    545, 1, 1, 5, 3, 13, 23, 65, 97, 347, 169, 1371, 2373, 4577, 14667, 5713,
    1, 1, 5, 11, 1, 43, 17, 87, 287, 943, 1257, 3383, 2389, 3349, 11641, 1,
    3, 1, 7, 27, 37, 127, 27, 239, 5, 575, 1811, 7185, 10233, 20519, 1, 3,
    1, 13, 21, 33, 91, 147, 351, 283, 1765, 3497, 3113, 7635, 21229, 1, 3, 7,
    3, 19, 39, 47, 135, 495, 401, 843, 551, 5239, 6525, 32339, 1, 3, 3, 3,
    1, 37, 61, 243, 491, 139, 613, 685, 3027, 8053, 4935, 1, 1, 7, 1, 13,
    43, 25, 117, 43, 161, 747, 3005, 5445, 7559, 31029, 1, 1, 1, 1, 9, 31,
    107, 57, 121, 733, 1813, 2057, 2473, 1769, 14649, 1, 1, 7, 7, 7, 53, 105,
    163, 401, 391, 849, 2359, 6819, 13905, 17267, 1, 1, 5, 7, 23, 9, 31, 39,
    7, 767, 153, 2969, 5539, 6581, 30515, 1, 3, 7, 5, 3, 63, 73, 167, 485,
    837, 403, 193, 2707, 2017, 743, 1, 1, 5, 15, 17, 59, 115, 115, 463, 203,
    607, 343, 577, 6985, 8797, 1, 1, 7, 3, 19, 61, 33, 245, 337, 105, 597,
    807, 1669, 5447, 15173, 1, 3, 3, 9, 27, 51, 67, 135, 151, 215, 217, 221,
    6467, 3693, 4563, 1, 1, 1, 3, 1, 5, 91, 223, 491, 783, 287, 4067, 6747,
    2489, 11513, 1, 3, 1, 3, 25, 15, 9, 3, 445, 893, 399, 2073, 3715, 2493,
    7761, 1, 3, 1, 11, 5, 41, 121, 107, 15, 547, 1417, 1275, 7255, 14979, 26993,
    1, 1, 5, 5, 29, 41, 115, 195, 305, 887, 335, 3919, 6607, 15783, 21457, 1,
    1, 7, 15, 11, 43, 53, 19, 37, 219, 1905, 1153, 4783, 11817, 11119, 1, 1,
    5, 13, 31, 57, 73, 237, 443, 755, 1141, 793, 8177, 9053, 25949, 1, 1, 3,
    9, 9, 11, 1, 151, 249, 701, 523, 2383, 647, 7979, 28965, 1, 3, 1, 9,
    7, 47, 47, 117, 239, 213, 1747, 3093, 3111, 6689, 22451, 1, 1, 3, 1, 21,
    43, 111, 97, 323, 733, 1051, 3567, 1217, 3731, 15475, 1, 3, 1, 9, 29, 13,
    63, 151, 469, 211, 927, 1893, 7741, 9733, 5777, 1, 1, 1, 15, 17, 49, 65,
    81, 325, 847, 193, 3777, 4979, 1621, 17401, 1, 3, 3, 15, 27, 31, 37, 185,
    339, 731, 1317, 527, 1889, 10609, 27419, 1, 1, 3, 13, 27, 45, 85, 193, 293,
    909, 205, 2245, 2845, 11575, 21997, 1, 3, 1, 3, 13, 63, 49, 97, 343, 331,
    2015, 2117, 6367, 13501, 12029, 1, 3, 3, 1, 15, 9, 61, 41, 355, 327, 1285,
    571, 3437, 10489, 24383, 1, 1, 7, 13, 23, 13, 7, 127, 329, 323, 2037, 31,
    407, 11301, 28027, 1, 1, 3, 1, 23, 61, 99, 237, 15, 257, 1575, 2077, 6507,
    3365, 21885, 1, 3, 5, 11, 15, 61, 111, 25, 309, 853, 1203, 2943, 4875, 9233,
    197, 1, 3, 3, 7, 5, 15, 17, 97, 213, 991, 867, 2291, 8129, 9381, 787,
    1, 3, 5, 1, 31, 45, 105, 35, 403, 595, 1007, 3633, 5167, 11245, 6643, 1,
    3, 5, 5, 1, 51, 121, 161, 109, 369, 447, 213, 4879, 5639, 7233, 1, 1,
    7, 5, 3, 27, 35, 143, 489, 435, 1483, 3261, 7427, 3105, 5297, 1, 3, 1,
    5, 11, 1, 75, 63, 367, 523, 291, 1429, 5509, 8641, 6847, 1, 1, 7, 13,
    5, 59, 69, 81, 359, 905, 723, 3449, 3961, 16231, 19789, 1, 1, 7, 7, 13,
    53, 119, 129, 87, 325, 415, 3313, 6045, 5293, 21325, 1, 1, 3, 3, 3, 45,
    73, 109, 337, 185, 781, 3277, 2575, 15999, 8309, 1, 1, 3, 15, 15, 59, 35,
    77, 441, 635, 627, 183, 4599, 8749, 24149, 1, 3, 3, 7, 23, 51, 31, 23,
    367, 473, 27, 1021, 2587, 3063, 32563, 1, 1, 7, 5, 9, 57, 45, 147, 95,
    233, 1349, 1497, 7103, 4049, 905, 1, 1, 7, 9, 9, 21, 89, 59, 379, 467,
    1619, 809, 3947, 1715, 9841, 1, 3, 5, 9, 23, 41, 43, 213, 429, 825, 279,
    1117, 659, 13157, 3977, 1, 1, 3, 15, 1, 57, 79, 87, 285, 693, 1947, 3417,
    4241, 8595, 18075, 1, 1, 1, 1, 11, 19, 9, 79, 407, 475, 655, 2925, 2919,
    6343, 19637, 1, 3, 3, 13, 1, 41, 107, 185, 29, 169, 915, 3535, 3543, 8015,
    7097, 1, 1, 3, 11, 29, 1, 25, 199, 129, 471, 1335, 3413, 7373, 9881, 32595,
    1, 3, 3, 1, 25, 13, 95, 23, 145, 775, 1873, 2347, 323, 10021, 20551, 1,
    3, 3, 15, 3, 35, 25, 79, 279, 251, 245, 2917, 1147, 9525, 9473, 1, 3,
    3, 11, 25, 35, 115, 13, 191, 447, 1041, 3437, 5941, 903, 26727, 1, 3, 5,
    15, 27, 49, 29, 169, 167, 685, 931, 1705, 4513, 16217, 8545, 1, 3, 5, 3,
    5, 55, 55, 113, 129, 491, 1583, 2103, 2233, 12669, 2809, 1, 1, 1, 7, 7,
    57, 47, 43, 91, 415, 1903, 1067, 4281, 16095, 19919, 1, 3, 7, 7, 29, 7,
    65, 19, 119, 473, 493, 2861, 7765, 15057, 13809, 1, 1, 5, 9, 3, 49, 83,
    73, 135, 971, 1233, 3623, 7351, 15255, 29921, 1, 3, 3, 11, 29, 53, 5, 57,
    41, 215, 477, 1851, 2219, 16289, 23801, 1, 1, 3, 7, 9, 29, 55, 37, 415,
    537, 1459, 431, 4559, 5569, 2031, 1, 1, 5, 1, 5, 15, 47, 159, 369, 677,
    691, 2647, 6243, 15909, 17725, 1, 1, 5, 9, 13, 43, 45, 167, 503, 939, 1609,
    1123, 2799, 3903, 27007, 1, 3, 1, 13, 19, 43, 95, 247, 475, 193, 1513, 885,
    5391, 7041, 13473, 1, 1, 7, 13, 25, 61, 3, 237, 473, 671, 101, 1129, 787,
    14697, 909, 1, 1, 7, 15, 25, 3, 53, 81, 147, 27, 1691, 2093, 2627, 9523,
    16021, 1, 1, 7, 15, 11, 17, 35, 39, 187, 119, 541, 485, 3997, 16067, 12707,
    1, 3, 7, 9, 17, 5, 57, 31, 75, 637, 1521, 3435, 387, 9325, 8165, 1,
    1, 7, 3, 17, 33, 65, 55, 193, 55, 777, 151, 7605, 6927, 22731, 1, 1,
    3, 15, 9, 21, 33, 29, 395, 179, 445, 895, 203, 14665, 28945, 1, 3, 3,
    11, 25, 63, 35, 51, 261, 83, 1227, 2897, 8157, 11703, 21067, 1, 1, 5, 11,
    15, 59, 1, 115, 225, 427, 397, 2113, 8117, 9387, 15817, 1, 1, 5, 3, 25,
    23, 15, 3, 227, 341, 449, 217, 3583, 5617, 5215, 1, 3, 1, 9, 15, 61,
    29, 241, 245, 857, 217, 1253, 2643, 435, 11991, 1, 1, 7, 7, 27, 17, 89,
    123, 121, 97, 1749, 3341, 2279, 1067, 28845, 1, 1, 1, 13, 17, 21, 27, 153,
    135, 831, 361, 3487, 7221, 9343, 26523, 1, 1, 7, 15, 11, 59, 115, 103, 425,
    221, 1485, 3471, 773, 14989, 1193, 1, 1, 7, 11, 1, 19, 113, 115, 149, 429,
    1695, 409, 2343, 11843, 16319, 1, 1, 1, 9, 29, 5, 37, 29, 197, 331, 2033,
    1319, 5667, 1311, 3563, 1, 1, 1, 11, 13, 7, 73, 25, 391, 245, 1447, 4001,
    7059, 3091, 27423, 1, 1, 5, 13, 21, 1, 125, 201, 103, 349, 1123, 2067, 7007,
    12927, 27169, 1, 3, 3, 5, 25, 49, 73, 31, 55, 659, 1407, 3433, 6513, 151,
    18409, 1, 1, 5, 13, 5, 19, 57, 73, 197, 69, 1477, 2763, 5691, 6639, 23613,
    1, 3, 5, 5, 17, 47, 49, 77, 275, 341, 2017, 3257, 111, 925, 549, 1,
    1, 7, 9, 29, 7, 27, 195, 411, 435, 1689, 1537, 3381, 11521, 4505, 1, 1,
    1, 15, 13, 23, 97, 189, 285, 351, 1371, 3161, 2337, 5239, 31675, 1, 1, 5,
    3, 27, 57, 105, 197, 423, 109, 1967, 3363, 1925, 14261, 13569, 1, 1, 3, 15,
    21, 15, 7, 45, 411, 905, 1323, 3225, 5867, 2281, 13213, 1, 3, 7, 9, 29,
    51, 41, 97, 393, 381, 1765, 1159, 965, 6013, 12541, 1, 1, 7, 5, 13, 35,
    107, 231, 135, 745, 259, 2999, 1291, 14025, 2065, 1, 3, 5, 13, 13, 29, 65,
    91, 101, 469, 1337, 2717, 1781, 10019, 23097, 1, 3, 3, 9, 3, 11, 23, 253,
    175, 35, 1651, 3713, 3575, 4837, 10385, 1, 3, 1, 11, 13, 57, 33, 39, 55,
    717, 679, 2417, 3665, 7753, 27659, 1, 3, 1, 15, 25, 9, 93, 205, 369, 567,
    1525, 3797, 6047, 407, 2155, 1, 3, 7, 3, 5, 47, 15, 227, 325, 837, 1849,
    3577, 1427, 5629, 17023, 1, 3, 5, 7, 17, 23, 43, 231, 23, 95, 423, 2225,
    8051, 6775, 4087, 1, 1, 3, 15, 11, 45, 87, 213, 187, 159, 377, 3269, 2393,
    7587, 8027, 1, 1, 5, 3, 5, 25, 115, 19, 229, 13, 935, 3269, 3877, 8081,
    20583, 1, 3, 3, 15, 31, 47, 21, 179, 503, 43, 915, 2987, 323, 15843, 18869,
    1, 1, 7, 7, 25, 9, 27, 169, 431, 495, 65, 3999, 4363, 8677, 12049, 1,
    3, 5, 13, 17, 37, 123, 197, 185, 501, 1471, 149, 4649, 2337, 10279, 1, 1,
    7, 13, 11, 11, 3, 103, 43, 97, 349, 3515, 2621, 11587, 26495, 1, 1, 1,
    5, 3, 19, 99, 135, 355, 265, 1719, 2533, 4313, 11301, 18415, 1, 3, 7, 9,
    1, 55, 115, 251, 293, 903, 931, 3687, 5019, 14277, 589, 1, 1, 3, 5, 31,
    5, 123, 179, 51, 135, 9, 2779, 8143, 10033, 31473, 1, 3, 1, 5, 3, 39,
    87, 235, 289, 907, 1211, 453, 611, 4009, 25787, 1, 3, 7, 9, 27, 7, 47,
    123, 333, 713, 1349, 1345, 1641, 5935, 19127, 1, 1, 5, 11, 13, 17, 47, 235,
    329, 955, 1761, 1957, 3611, 9705, 20307, 1, 1, 7, 15, 15, 59, 45, 17, 57,
    871, 407, 943, 1881, 12929, 2181, 1, 1, 7, 1, 7, 43, 41, 193, 29, 675,
    1449, 2121, 1681, 13951, 21659, 1, 1, 5, 3, 21, 53, 63, 75, 7, 793, 245,
    349, 4801, 4057, 13269, 1, 1, 3, 13, 23, 9, 109, 167, 165, 573, 685, 129,
    1781, 10331, 9429, 1, 3, 3, 15, 29, 43, 109, 25, 461, 991, 1509, 39, 6959,
    13245, 18505, 1, 3, 1, 7, 25, 43, 57, 61, 399, 787, 1479, 1613, 4295, 4189,
    1371, 1, 3, 3, 13, 27, 57, 49, 139, 189, 683, 115, 963, 5833, 3249, 28785,
    1, 3, 5, 1, 3, 29, 41, 49, 341, 299, 1195, 57, 5791, 4409, 17733, 1,
    1, 5, 7, 11, 21, 115, 145, 207, 41, 1531, 1897, 2627, 3653, 267, 1, 3,
    3, 9, 1, 3, 5, 79, 449, 281, 1711, 2863, 6267, 14863, 29957, 1, 3, 1,
    3, 15, 63, 127, 123, 457, 523, 1409, 2709, 4543, 13071, 17751, 1, 3, 1, 3,
    7, 61, 21, 139, 481, 747, 107, 1041, 359, 7683, 30327, 1, 3, 3, 7, 3,
    25, 7, 113, 39, 853, 1461, 2655, 2601, 7619, 2923, 1, 3, 3, 1, 19, 25,
    5, 27, 439, 407, 1281, 2487, 2275, 8793, 119, 1, 3, 3, 1, 11, 37, 55,
    131, 227, 79, 117, 2367, 1495, 15873, 24341, 1, 3, 1, 1, 11, 21, 35, 167,
    413, 645, 1139, 2535, 8167, 5937, 29047, 1, 3, 7, 1, 5, 43, 31, 5, 419,
    577, 1333, 1599, 3745, 10219, 27501, 1, 3, 1, 13, 21, 35, 115, 105, 187, 567,
    1303, 1637, 3681, 14089, 12705, 1, 1, 3, 15, 19, 61, 65, 115, 395, 501, 1015,
    2117, 7647, 3077, 15265, 1, 3, 1, 1, 29, 11, 21, 177, 15, 193, 1177, 1225,
    6251, 9983, 12599, 1, 1, 1, 5, 5, 27, 27, 249, 197, 125, 571, 277, 4659,
    14943, 19805, 1, 3, 3, 7, 27, 37, 75, 235, 249, 191, 1123, 1355, 4249, 14971,
    11349, 1, 1, 5, 9, 31, 19, 7, 91, 87, 515, 293, 1289, 2495, 11311, 3939,
    1, 1, 5, 15, 15, 51, 43, 231, 401, 557, 689, 1103, 457, 3493, 22193, 1,
    3, 5, 9, 25, 39, 125, 91, 373, 331, 39, 35, 2397, 5043, 32061, 1, 1,
    3, 11, 13, 37, 61, 27, 349, 377, 1589, 3711, 6551, 4795, 5507, 1, 3, 5,
    7, 25, 49, 107, 189, 371, 363, 1011, 2133, 6923, 2441, 8295, 1, 1, 3, 11,
    3, 11, 27, 9, 193, 979, 867, 3085, 3783, 14851, 11565, 1, 1, 3, 1, 1,
    55, 17, 239, 351, 373, 939, 2115, 3697, 7881, 6603, 1, 3, 1, 7, 23, 17,
    81, 143, 497, 875, 939, 3193, 7023, 3327, 29327, 1, 3, 7, 13, 27, 61, 1,
    127, 369, 471, 1511, 2227, 565, 4121, 11155, 1, 3, 3, 5, 5, 53, 77, 185,
    11, 801, 1289, 975, 5191, 3733, 18489, 1, 3, 1, 7, 19, 19, 67, 9, 121,
    473, 377, 3771, 7561, 5751, 26295, 1, 3, 1, 5, 19, 41, 7, 227, 465, 803,
    1979, 281, 1337, 7973, 20341, 1, 1, 1, 5, 9, 5, 123, 45, 65, 801, 373,
    2093, 1473, 14503, 1401, 1, 1, 3, 9, 29, 39, 123, 17, 253, 649, 1755, 4081,
    3415, 8805, 28635, 1, 3, 1, 1, 23, 7, 57, 163, 93, 829, 93, 1767, 1073,
    14825, 21505, 1, 1, 7, 13, 21, 59, 59, 229, 175, 485, 621, 3785, 4949, 12281,
    14569, 1, 3, 5, 13, 7, 51, 123, 221, 119, 61, 1271, 1857, 3505, 14413, 20975,
    1, 3, 7, 5, 17, 51, 67, 123, 121, 379, 605, 3361, 5557, 9127, 15251, 1,
    3, 7, 9, 27, 11, 33, 33, 439, 347, 1305, 11, 6839, 493, 771, 1, 3,
    5, 15, 5, 13, 7, 131, 129, 865, 1115, 2651, 1567, 783, 15073, 1, 1, 3,
    11, 11, 13, 95, 115, 361, 1009, 413, 2671, 6267, 5393, 18963, 1, 3, 1, 9,
    27, 11, 33, 183, 343, 113, 1323, 3197, 3889, 8533, 31493, 1, 3, 3, 11, 11,
    21, 93, 35, 177, 133, 539, 679, 6263, 8619, 2751, 1, 1, 3, 1, 27, 31,
    21, 157, 365, 635, 1279, 575, 2245, 11597, 3899, 1, 3, 1, 5, 7, 45, 15,
    237, 191, 541, 1631, 1459, 1973, 15333, 30419, 1, 3, 1, 13, 3, 47, 103, 101,
    423, 739, 947, 3225, 783, 14771, 20183, 1, 3, 1, 5, 23, 19, 21, 245, 341,
    907, 745, 1913, 1545, 7801, 9995, 1, 3, 1, 3, 7, 47, 55, 15, 193, 123,
    73, 427, 6415, 6611, 6317, 1, 1, 1, 7, 3, 17, 27, 5, 295, 453, 1503,
    2327, 4209, 3663, 16843, 1, 1, 1, 3, 25, 19, 41, 161, 333, 153, 999, 1129,
    103, 9471, 12707, 1, 3, 3, 3, 21, 37, 73, 159, 179, 913, 691, 755, 3033,
    1999, 15459, 1, 1, 5, 13, 1, 3, 67, 131, 119, 769, 747, 1047, 6751, 2753,
    22611, 1, 3, 7, 5, 11, 1, 27, 81, 423, 691, 357, 3679, 2467, 15107, 13029,
    1, 3, 5, 9, 21, 21, 109, 69, 319, 283, 1831, 1403, 5531, 14461, 14057, 1,
    3, 7, 13, 21, 33, 77, 149, 495, 361, 401, 3313, 1849, 14009, 5933, 1, 3,
    7, 15, 11, 3, 33, 181, 21, 437, 1843, 3591, 589, 1721, 27495, 1, 1, 1,
    9, 25, 61, 103, 25, 71, 471, 219, 3623, 1517, 15471, 23179, 1, 1, 7, 1,
    7, 59, 99, 143, 387, 231, 241, 1215, 3785, 13543, 27469, 1, 3, 1, 11, 25,
    61, 93, 171, 421, 515, 1761, 1399, 7791, 291, 28455, 1, 1, 3, 11, 1, 23,
    117, 251, 467, 445, 737, 2637, 4183, 8561, 24977, 1, 3, 5, 11, 11, 35, 111,
    209, 415, 485, 1609, 1113, 3329, 15365, 1999, 1, 1, 3, 15, 19, 17, 43, 67,
    191, 711, 395, 921, 2511, 8417, 4071, 1, 3, 3, 11, 9, 5, 89, 115, 451,
    533, 1057, 1835, 2137, 9253, 19217, 1, 3, 7, 11, 9, 45, 119, 89, 485, 109,
    1755, 709, 7729, 14659, 19203, 1, 1, 3, 7, 11, 7, 107, 113, 305, 431, 481,
    2965, 6195, 2369, 14843, 1, 3, 1, 13, 5, 37, 11, 193, 135, 697, 665, 3085,
    4691, 3799, 11915, 1, 1, 1, 9, 1, 47, 23, 143, 255, 93, 615, 2039, 6591,
    14479, 24963, 1, 3, 3, 11, 15, 11, 75, 57, 151, 29, 1073, 2763, 5613, 15703,
    2447, 1, 1, 5, 9, 19, 15, 79, 113, 359, 997, 1799, 695, 7075, 10091, 15271,
    1, 3, 5, 9, 3, 63, 45, 253, 257, 739, 1759, 317, 1955, 1283, 11127, 1,
    3, 5, 13, 29, 37, 67, 177, 203, 497, 947, 2339, 2401, 9199, 22331, 1, 1,
    1, 5, 23, 15, 67, 131, 213, 21, 1167, 1729, 3297, 337, 12253, 1, 3, 3,
    11, 21, 7, 69, 79, 297, 401, 1491, 1655, 2525, 4871, 17919, 1, 3, 5, 15,
    5, 15, 113, 45, 205, 317, 109, 2793, 4975, 5563, 3649, 1, 3, 3, 7, 13,
    59, 17, 63, 311, 161, 419, 1693, 2937, 8671, 24741, 1, 1, 5, 3, 17, 21,
    103, 105, 117, 211, 941, 385, 6455, 9069, 10147, 1, 3, 5, 7, 5, 13, 43,
    155, 89, 747, 359, 219, 6597, 5175, 24585, 1, 3, 5, 13, 7, 45, 17, 169,
    421, 161, 207, 2033, 4805, 2737, 7799, 1, 1, 7, 9, 15, 55, 55, 219, 441,
    409, 443, 3363, 6895, 16339, 16091, 1, 1, 3, 5, 3, 23, 17, 217, 93, 799,
    1419, 3405, 7911, 15609, 25461, 1, 1, 1, 5, 29, 19, 17, 97, 319, 743, 1773,
    2513, 2395, 1885, 6835, 1, 3, 3, 3, 25, 41, 79, 191, 175, 319, 1903, 2281,
    5709, 2817, 14213, 1, 3, 5, 9, 21, 55, 9, 51, 223, 519, 225, 2543, 4183,
    283, 599, 1, 1, 1, 15, 23, 39, 21, 171, 167, 739, 1779, 3469, 8121, 7013,
    23445, 1, 3, 3, 9, 9, 5, 55, 253, 43, 397, 927, 237, 4459, 12817, 29563,
    1, 3, 7, 3, 3, 57, 113, 221, 391, 365, 311, 1027, 3369, 7637, 25765, 1,
    3, 3, 1, 19, 3, 91, 161, 421, 961, 1237, 4063, 2573, 483, 3375, 1, 1,
    1, 5, 19, 35, 119, 211, 489, 649, 1233, 447, 3727, 15541, 4769, 1, 3, 7,
    15, 7, 1, 15, 103, 81, 59, 1953, 3729, 6451, 15051, 17421, 1, 1, 3, 11,
    11, 41, 73, 63, 485, 47, 585, 3503, 4787, 12445, 8513, 1, 1, 5, 1, 29,
    35, 37, 99, 443, 171, 1455, 1705, 5587, 8791, 6269, 1, 3, 3, 9, 19, 23,
    103, 19, 307, 615, 2037, 3289, 1453, 12955, 28069, 1, 3, 7, 5, 21, 57, 89,
    29, 419, 681, 1413, 3375, 7341, 14825, 18251, 1, 3, 5, 11, 21, 49, 67, 69,
    47, 33, 449, 1831, 1125, 1011, 16223, 1, 1, 3, 5, 17, 11, 67, 237, 299,
    843, 1177, 1825, 1109, 12157, 9347, 1, 3, 3, 9, 21, 63, 47, 239, 219, 319,
    1505, 393, 143, 5009, 9017, 1, 3, 5, 11, 1, 25, 21, 1, 15, 947, 1533,
    1201, 3929, 7943, 9335, 1, 1, 1, 15, 29, 45, 29, 119, 419, 793, 345, 789,
    6415, 5481, 31111, 1, 1, 1, 1, 19, 59, 3, 199, 247, 905, 1347, 4021, 1913,
    15315, 15265, 1, 3, 3, 7, 23, 63, 1, 87, 455, 1013, 789, 603, 7027, 11527,
    17571, 1, 3, 3, 15, 13, 27, 95, 61, 343, 201, 997, 2153, 3239, 2475, 9827,
    1, 3, 3, 1, 29, 49, 77, 245, 167, 873, 1467, 2475, 3951, 10253, 8345, 1,
    1, 1, 15, 5, 41, 71, 81, 491, 971, 1955, 1901, 4383, 13961, 3745, 1, 1,
    1, 7, 21, 31, 11, 247, 47, 251, 509, 739, 2745, 14531, 19633, 1, 1, 7,
    13, 31, 47, 105, 167, 443, 623, 503, 3283, 1935, 2627, 19807, 1, 1, 7, 3,
    21, 9, 67, 39, 263, 395, 407, 3813, 5033, 14647, 11963, 1, 1, 1, 9, 3,
    29, 9, 101, 313, 861, 529, 1171, 7943, 13701, 16497, 1, 1, 5, 15, 9, 3,
    29, 53, 379, 721, 1777, 2767, 7591, 8923, 16909, 1, 1, 3, 9, 19, 7, 103,
    189, 325, 995, 1419, 333, 4053, 10441, 1287, 1, 1, 7, 1, 1, 1, 53, 31,
    425, 477, 695, 389, 6523, 7565, 95, 1, 1, 7, 15, 1, 5, 75, 211, 487,
    641, 287, 3709, 2257, 12017, 31921, 1, 3, 5, 7, 31, 7, 33, 177, 349, 257,
    1383, 303, 469, 10941, 16211, 1, 1, 5, 1, 7, 21, 89, 229, 237, 447, 1805,
    3271, 7073, 3401, 7143, 1, 3, 1, 7, 11, 35, 127, 139, 497, 629, 543, 77,
    2505, 8781, 30445, 1, 1, 7, 13, 1, 27, 59, 125, 399, 37, 597, 431, 4531,
    7525, 2629, 1, 3, 3, 1, 25, 27, 75, 221, 269, 587, 669, 1807, 5437, 12715,
    22419, 1, 1, 5, 7, 31, 29, 7, 135, 493, 1011, 1273, 3899, 6069, 9657, 21375,
    1, 3, 5, 7, 3, 13, 123, 39, 37, 397, 1023, 2733, 2275, 8415, 12011, 1,
    1, 5, 3, 1, 63, 115, 191, 159, 283, 7, 1073, 5609, 13113, 1755, 1, 1,
    3, 5, 11, 35, 83, 91, 315, 823, 1961, 1023, 4191, 1013, 24451, 1, 1, 3,
    15, 31, 13, 121, 213, 289, 763, 297, 3405, 4987, 13713, 16853, 1, 3, 1, 3,
    9, 57, 53, 171, 203, 71, 1973, 3555, 5079, 16173, 6399, 1, 1, 3, 7, 21,
    51, 105, 237, 491, 465, 597, 3055, 1657, 131, 19281, 1, 1, 7, 15, 15, 41,
    1, 61, 3, 879, 1985, 651, 3945, 6979, 793, 1, 1, 1, 3, 15, 45, 51,
    23, 1, 265, 1345, 3967, 1419, 247, 9225, 1, 1, 5, 5, 19, 31, 107, 73,
    331, 135, 1645, 3465, 6809, 12793, 15589, 1, 1, 1, 1, 29, 47, 103, 133, 15,
    113, 717, 891, 1967, 6063, 24975, 1, 1, 3, 1, 17, 39, 3, 103, 373, 379,
    267, 131, 473, 10475, 18595, 1, 1, 3, 3, 27, 51, 17, 227, 425, 29, 969,
    1515, 7045, 5869, 2031, 1, 3, 7, 5, 17, 59, 69, 21, 119, 359, 1805, 1225,
    1969, 14601, 7175, 1, 3, 7, 9, 5, 23, 89, 89, 269, 159, 2017, 269, 4247,
    14369, 4413, 1, 1, 7, 1, 19, 35, 67, 243, 71, 653, 1673, 647, 1171, 16167,
    15223, 1, 1, 7, 7, 19, 37, 27, 69, 253, 233, 933, 649, 5449, 10651, 24709,
    1, 1, 5, 15, 13, 39, 113, 253, 351, 281, 309, 2351, 2225, 14121, 24059, 1,
    3, 1, 9, 13, 43, 115, 137, 107, 921, 37, 1743, 183, 5037, 4649, 1, 1,
    5, 15, 23, 11, 121, 161, 337, 155, 1053, 2907, 1163, 12929, 9065, 1, 1, 3,
    1, 1, 23, 85, 253, 245, 359, 1881, 581, 381, 15877, 15781, 1, 3, 5, 11,
    17, 49, 33, 133, 247, 339, 969, 3347, 1791, 16115, 10821, 1, 3, 1, 9, 31,
    41, 31, 103, 79, 339, 1311, 2609, 7455, 4543, 14765, 1, 3, 7, 13, 13, 25,
    75, 219, 443, 543, 9, 1101, 6833, 2091, 20729, 1, 1, 3, 9, 3, 51, 125,
    137, 107, 123, 1113, 3735, 655, 6897, 32047, 1, 1, 3, 1, 17, 49, 31, 87,
    399, 405, 1497, 1199, 6135, 6889, 23913, 1, 1, 1, 13, 17, 59, 87, 153, 183,
    539, 1231, 569, 1877, 11605, 9301, 1, 3, 1, 9, 15, 57, 41, 247, 107, 1019,
    1423, 49, 3093, 1667, 28241, 1, 1, 1, 1, 19, 9, 41, 79, 383, 83, 1091,
    457, 7245, 3639, 24411, 1, 3, 7, 11, 31, 23, 71, 157, 327, 973, 39, 1303,
    3519, 6071, 19297, 1, 1, 7, 13, 27, 17, 105, 245, 83, 825, 33, 2331, 6469,
    5547, 5409, 1, 3, 1, 9, 21, 1, 105, 161, 269, 767, 2039, 941, 5063, 2763,
    31333, 1, 3, 1, 1, 17, 33, 37, 185, 505, 979, 239, 3001, 1441, 7803, 23377,
    1, 1, 3, 3, 23, 5, 63, 249, 409, 501, 1177, 655, 5109, 309, 3791, 1,
    1, 5, 1, 11, 37, 67, 5, 399, 479, 1119, 295, 2343, 11141, 28209, 1, 1,
    5, 11, 3, 17, 75, 93, 69, 957, 1851, 2297, 6757, 9401, 15847, 1, 1, 3,
    9, 5, 39, 75, 143, 235, 411, 1309, 1327, 863, 5579, 5153, 1, 1, 7, 13,
    23, 3, 39, 7, 257, 941, 1441, 2931, 1651, 4669, 16193, 1, 1, 1, 15, 27,
    43, 51, 197, 369, 531, 397, 387, 3021, 8885, 21943, 1, 1, 5, 11, 25, 49,
    9, 227, 501, 687, 131, 2899, 7175, 11359, 19997, 1, 3, 3, 9, 23, 1, 51,
    53, 437, 331, 1503, 3345, 5909, 439, 4771, 1, 3, 1, 7, 13, 13, 101, 71,
    345, 675, 653, 2297, 1099, 11115, 28917, 1, 1, 3, 5, 5, 23, 69, 155, 133,
    527, 1443, 1099, 2395, 2213, 16533, 1, 1, 7, 7, 9, 37, 75, 17, 397, 919,
    1223, 491, 4719, 3915, 30101, 1, 3, 1, 7, 7, 51, 105, 31, 5, 149, 1275,
    1381, 1963, 14737, 30975, 1, 1, 7, 5, 1, 51, 49, 21, 371, 293, 159, 3681,
    7979, 15611, 255, 1, 1, 1, 7, 27, 53, 51, 135, 181, 419, 757, 2913, 941,
    5863, 19619, 1, 1, 7, 5, 19, 1, 115, 113, 29, 355, 1203, 279, 7967, 12419,
    1003, 1, 1, 1, 11, 1, 63, 109, 215, 285, 801, 1995, 3771, 4113, 11973, 16507,
    1, 3, 3, 9, 19, 55, 107, 139, 95, 139, 1595, 929, 7023, 15245, 30163, 1,
    1, 1, 13, 19, 1, 33, 23, 325, 245, 1671, 3065, 6767, 13583, 4683, 1, 1,
    7, 5, 17, 55, 33, 235, 119, 715, 83, 1089, 5943, 11897, 13259, 1, 3, 7,
    5, 25, 27, 111, 225, 99, 917, 731, 2617, 7915, 7283, 357, 1, 3, 1, 3,
    13, 9, 127, 251, 189, 573, 1897, 2147, 2641, 13191, 3847, 1, 3, 7, 1, 19,
    49, 49, 231, 321, 67, 1067, 2267, 7873, 2825, 445, 1, 3, 7, 5, 27, 55,
    23, 155, 103, 969, 1929, 2171, 5601, 1267, 31897, 1, 3, 3, 7, 3, 27, 107,
    7, 61, 601, 1957, 4075, 2955, 7717, 10473, 1, 3, 5, 13, 31, 25, 111, 11,
    391, 727, 243, 1471, 143, 16161, 5591, 1, 1, 1, 11, 11, 43, 117, 117, 173,
    933, 163, 1571, 1901, 3201, 1151, 1, 3, 5, 3, 17, 13, 47, 217, 351, 777,
    607, 401, 3485, 8679, 20357, 1, 1, 7, 15, 5, 13, 37, 7, 469, 413, 1343,
    947, 5883, 6125, 14803, 1, 3, 1, 3, 1, 61, 7, 67, 229, 931, 1997, 3067,
    3507, 11675, 31837, 1, 1, 5, 1, 5, 35, 43, 65, 101, 75, 629, 1149, 625,
    1865, 5215, 1, 1, 7, 7, 17, 61, 47, 29, 277, 861, 1901, 35, 1405, 4393,
    26899, 1, 1, 5, 13, 13, 11, 21, 27, 473, 145, 867, 2781, 2865, 2793, 3265,
    1, 1, 7, 11, 11, 31, 41, 119, 243, 989, 2047, 1455, 8037, 11633, 31199, 1,
    1, 7, 5, 29, 19, 1, 89, 63, 41, 323, 2135, 2091, 15061, 29039, 1, 3,
    5, 15, 9, 53, 15, 191, 229, 487, 1287, 1163, 6985, 881, 4789, 1, 1, 3,
    9, 11, 57, 89, 205, 355, 551, 1643, 1565, 4181, 10805, 29359, 1, 1, 7, 7,
    31, 3, 103, 165, 37, 195, 245, 1225, 2811, 14785, 9307, 1, 1, 7, 5, 19,
    31, 47, 115, 361, 1019, 1517, 4079, 3717, 11301, 12051, 1, 3, 5, 9, 31, 21,
    57, 27, 353, 623, 1217, 3079, 5429, 8645, 10773, 1, 1, 7, 7, 3, 11, 55,
    209, 239, 509, 959, 2091, 123, 11365, 26593, 1, 1, 5, 9, 7, 19, 51, 179,
    103, 901, 1717, 1837, 4327, 9753, 24147, 1, 1, 1, 5, 9, 63, 19, 103, 265,
    893, 1519, 4063, 7951, 15601, 15019, 1, 1, 3, 1, 19, 29, 15, 11, 235, 785,
    77, 3957, 4829, 9903, 8483, 1, 1, 3, 9, 27, 33, 25, 103, 387, 131, 1555,
    301, 1471, 11331, 15091, 1, 3, 3, 13, 25, 63, 75, 245, 189, 527, 1829, 1943,
    407, 15219, 24453, 1, 3, 1, 11, 29, 27, 35, 5, 215, 949, 97, 3843, 7911,
    15947, 25037, 1, 3, 3, 9, 29, 49, 43, 245, 257, 741, 1067, 2405, 3793, 3787,
    22921, 1, 1, 3, 15, 29, 29, 39, 25, 485, 257, 1003, 77, 1617, 5151, 29595,
    1, 1, 3, 5, 9, 39, 61, 59, 197, 501, 527, 3371, 1739, 5697, 11857, 1,
    1, 1, 15, 31, 27, 41, 91, 11, 373, 627, 361, 8001, 12231, 5715, 1, 3,
    3, 9, 31, 27, 67, 203, 95, 221, 1911, 1045, 1311, 11633, 5375, 1, 1, 5,
    15, 31, 49, 59, 185, 285, 173, 1351, 1665, 5941, 2075, 26087, 1, 1, 7, 9,
    23, 33, 95, 171, 71, 743, 11, 33, 1263, 1595, 18281, 1, 1, 1, 7, 13,
    59, 99, 245, 497, 951, 1195, 1503, 6069, 2293, 31661, 1, 3, 5, 3, 3, 3,
    29, 3, 197, 697, 105, 435, 4583, 5407, 32727, 1, 3, 7, 1, 9, 41, 77,
    199, 495, 999, 1791, 2183, 2819, 10771, 6957, 1, 1, 7, 15, 27, 13, 51, 33,
    243, 947, 835, 2251, 1751, 10319, 3269, 1, 3, 5, 7, 17, 59, 125, 151, 113,
    889, 21, 3839, 1475, 10643, 3291, 1, 3, 7, 3, 27, 55, 101, 13, 177, 967,
    35, 3081, 3559, 6539, 13557, 1, 3, 5, 13, 27, 7, 107, 147, 455, 605, 1589,
    2325, 6891, 10431, 18227, 1, 1, 3, 3, 27, 13, 121, 249, 205, 359, 1909, 4011,
    6833, 11583, 8705, 1, 3, 5, 9, 21, 47, 77, 103, 173, 637, 1921, 991, 6471,
    6053, 1963, 1, 1, 3, 15, 11, 9, 71, 161, 253, 1, 973, 3079, 4887, 10045,
    20467, 1, 1, 5, 13, 27, 45, 11, 147, 79, 375, 533, 43, 7217, 9393, 20773,
    1, 1, 5, 3, 21, 47, 107, 83, 505, 463, 967, 3437, 3051, 11239, 20271, 1,
    1, 1, 15, 7, 9, 97, 143, 483, 393, 39, 447, 7779, 11037, 23283, 1, 3,
    1, 1, 31, 59, 85, 231, 209, 297, 353, 2577, 6209, 6691, 2941, 1, 1, 7,
    3, 19, 7, 81, 41, 419, 987, 1221, 2151, 5297, 1601, 1289, 1, 3, 3, 13,
    25, 13, 57, 199, 101, 157, 1273, 159, 5417, 5153, 30529, 1, 1, 5, 1, 31,
    41, 67, 71, 95, 929, 133, 3007, 6837, 7863, 23759, 1, 1, 5, 3, 13, 59,
    35, 11, 187, 251, 1119, 1517, 1433, 15475, 17981, 1, 1, 3, 7, 5, 37, 11,
    39, 111, 775, 761, 2853, 2283, 203, 22563, 1, 1, 1, 11, 5, 45, 119, 81,
    125, 481, 547, 3659, 5583, 6577, 17239, 1, 3, 3, 13, 9, 25, 43, 103, 283,
    637, 715, 3841, 5633, 503, 21933, 1, 3, 1, 13, 21, 39, 1, 215, 235, 171,
    1377, 2131, 2907, 11311, 11337, 1, 3, 1, 3, 27, 19, 73, 83, 325, 451, 1779,
    1665, 555, 7729, 26757, 1, 3, 5, 13, 9, 29, 123, 177, 289, 553, 1323, 2531,
    4071, 7395, 25847, 1, 1, 7, 13, 1, 1, 29, 125, 253, 179, 1905, 821, 5329,
    6181, 18445, 1, 1, 1, 9, 15, 19, 59, 227, 63, 637, 1315, 2611, 1163, 6451,
    8919, 1, 1, 1, 5, 23, 39, 57, 143, 9, 811, 1101, 609, 1281, 9457, 14999,
    1, 3, 3, 7, 5, 31, 21, 31, 33, 271, 381, 1179, 4039, 14033, 19741, 1,
    3, 7, 15, 9, 41, 91, 247, 59, 201, 1837, 2609, 5481, 15479, 32253, 1, 1,
    3, 5, 15, 53, 7, 193, 451, 935, 701, 177, 7943, 5687, 15725, 1, 3, 1,
    13, 19, 9, 33, 173, 229, 993, 1637, 905, 5665, 9083, 10737, 1, 1, 7, 9,
    17, 33, 3, 145, 213, 317, 1135, 3281, 4169, 4601, 30347, 1, 1, 1, 3, 23,
    1, 49, 173, 351, 827, 937, 2423, 6443, 6413, 20383, 1, 3, 5, 3, 21, 9,
    7, 29, 293, 489, 339, 2403, 6303, 12283, 18047, 1, 1, 7, 11, 23, 25, 49,
    135, 389, 821, 17, 169, 4265, 5203, 3893, 1, 1, 3, 3, 27, 63, 109, 165,
    141, 129, 1441, 1443, 3991, 1639, 31461, 1, 3, 7, 7, 25, 15, 85, 217, 223,
    537, 1671, 2865, 4157, 8353, 18335, 1, 3, 5, 11, 19, 19, 95, 159, 161, 599,
    1059, 2065, 7159, 11273, 17501, 1, 3, 7, 3, 15, 29, 5, 97, 95, 65, 1913,
    1221, 329, 11601, 27033, 1, 3, 3, 1, 25, 39, 103, 139, 379, 547, 1415, 4027,
    559, 2101, 6133, 1, 1, 7, 15, 21, 47, 115, 171, 17, 559, 1757, 745, 2573,
    13969, 4193, 1, 3, 3, 9, 19, 15, 37, 131, 199, 377, 67, 2455, 6807, 3365,
    19697, 1, 3, 5, 9, 25, 59, 9, 61, 369, 285, 231, 2911, 1817, 2125, 27637,
    1, 3, 1, 13, 25, 55, 61, 153, 507, 105, 149, 1589, 7167, 12363, 10257, 1,
    3, 1, 7, 9, 23, 109, 29, 167, 463, 101, 979, 3671, 10165, 12553, 1, 3,
    3, 9, 21, 49, 103, 217, 269, 761, 915, 3529, 125, 429, 24131, 1, 3, 5,
    15, 27, 61, 73, 13, 339, 1023, 967, 3883, 5515, 5893, 26183, 1, 1, 1, 5,
    5, 39, 87, 183, 141, 147, 779, 1733, 6137, 5985, 1335, 1, 3, 5, 11, 23,
    9, 61, 67, 235, 823, 1129, 401, 3049, 5593, 5193, 1, 1, 3, 3, 27, 39,
    27, 111, 81, 27, 283, 4081, 6511, 6785, 20953, 1, 3, 7, 7, 17, 49, 93,
    85, 327, 287, 1473, 3769, 2229, 12221, 27355, 1, 3, 1, 3, 15, 15, 71, 105,
    139, 137, 1139, 859, 7923, 581, 7697, 1, 3, 7, 15, 29, 45, 17, 159, 233,
    345, 1827, 2261, 6773, 5435, 17961, 1, 3, 5, 13, 21, 15, 33, 229, 71, 709,
    1757, 1479, 7289, 15629, 24041, 1, 3, 3, 1, 27, 9, 103, 115, 137, 911, 603,
    3615, 7671, 2439, 10041, 1, 1, 5, 5, 21, 59, 67, 193, 249, 781, 761, 403,
    6299, 527, 8533, 1, 3, 3, 3, 5, 61, 71, 183, 151, 801, 1645, 2789, 5911,
    11681, 5907, 1, 1, 5, 7, 9, 19, 53, 239, 259, 273, 679, 2101, 1525, 2139,
    30353, 1, 1, 3, 1, 31, 25, 37, 225, 287, 31, 433, 2407, 1717, 6669, 10743,
    1, 3, 1, 13, 31, 13, 89, 225, 173, 723, 651, 3315, 6457, 9387, 7759, 1,
    1, 5, 7, 3, 25, 45, 79, 11, 843, 2031, 2827, 5029, 1359, 23489, 1, 3,
    5, 9, 7, 1, 53, 135, 327, 13, 1051, 2911, 5553, 6557, 16415, 1, 1, 1,
    5, 19, 19, 57, 147, 43, 503, 1899, 1709, 5589, 4251, 10871, 1, 1, 5, 7,
    1, 41, 83, 51, 89, 1015, 1441, 1735, 7217, 11431, 29623, 1, 3, 7, 7, 29,
    45, 73, 233, 399, 553, 961, 2053, 3537, 4015, 19963, 1, 1, 5, 3, 21, 5,
    1, 105, 341, 355, 849, 2235, 2801, 13749, 17933, 1, 1, 7, 1, 25, 57, 29,
    233, 485, 807, 1005, 1933, 3897, 1267, 30807, 1, 1, 7, 15, 31, 53, 49, 31,
    325, 335, 671, 1183, 2955, 3, 31739, 1, 1, 5, 3, 17, 41, 19, 73, 215,
    227, 1251, 907, 3303, 5343, 30385, 1, 1, 1, 5, 15, 61, 123, 61, 27, 759,
    645, 2571, 411, 13925, 29905, 1, 3, 1, 5, 7, 55, 81, 241, 497, 1005, 1593,
    2479, 25, 10627, 14043, 1, 3, 3, 9, 19, 33, 87, 63, 441, 773, 1367, 2945,
    4897, 14209, 6667, 1, 1, 7, 15, 31, 59, 121, 153, 111, 329, 833, 2031, 4063,
    13775, 9033, 1, 3, 1, 11, 3, 33, 47, 65, 329, 149, 1509, 3617, 1381, 9003,
    4953, 1, 3, 1, 3, 7, 59, 39, 173, 157, 741, 343, 1039, 1695, 12077, 13203,
    1, 3, 7, 1, 17, 21, 21, 5, 65, 163, 711, 2251, 4761, 11895, 15571, 1,
    3, 7, 7, 7, 59, 31, 227, 283, 223, 163, 2639, 3037, 14423, 21507, 1, 1,
    1, 5, 9, 37, 5, 149, 395, 491, 711, 447, 5657, 443, 7183, 1, 1, 5,
    9, 17, 61, 31, 229, 207, 755, 199, 1585, 2771, 1499, 4911, 1, 3, 5, 7,
    1, 1, 53, 185, 407, 57, 525, 543, 5009, 1825, 8583, 1, 1, 1, 3, 13,
    49, 85, 175, 261, 653, 665, 3173, 4709, 11547, 14881, 1, 1, 1, 3, 21, 47,
    21, 33, 265, 171, 765, 3871, 3577, 15135, 13483, 1, 3, 1, 3, 29, 5, 109,
    3, 249, 379, 1259, 677, 1177, 13061, 31985, 1, 3, 7, 3, 15, 25, 123, 93,
    193, 419, 1173, 2493, 2937, 14909, 3147, 1, 3, 3, 3, 9, 59, 55, 95, 93,
    319, 1281, 587, 8065, 15697, 32101, 1, 3, 5, 7, 25, 61, 105, 199, 101, 255,
    849, 377, 3245, 8139, 8383, 1, 1, 5, 9, 3, 47, 79, 155, 15, 661, 1417,
    87, 4225, 13241, 15971, 1, 3, 3, 1, 13, 39, 101, 79, 271, 21, 1983, 2821,
    4177, 14081, 31219, 1, 1, 1, 7, 15, 51, 123, 17, 29, 123, 1131, 147, 4191,
    6729, 19359, 1, 1, 7, 7, 17, 39, 47, 215, 219, 643, 1877, 3965, 5799, 16131,
    24675, 1, 3, 5, 7, 11, 53, 57, 133, 289, 33, 1631, 2037, 6699, 14153, 25309,
    1, 3, 7, 7, 9, 17, 125, 123, 91, 15, 1279, 297, 2583, 11141, 7257, 1,
    1, 7, 9, 13, 9, 83, 117, 365, 533, 343, 121, 7553, 14417, 23239, 1, 3,
    3, 9, 5, 27, 97, 229, 321, 123, 1669, 621, 4937, 683, 31061, 1, 3, 1,
    3, 1, 23, 63, 21, 271, 695, 601, 113, 6331, 8837, 16721, 1, 3, 7, 13,
    15, 41, 53, 115, 225, 5, 1315, 2285, 3815, 5949, 4263, 1, 1, 1, 9, 21,
    41, 25, 47, 9, 423, 1171, 2515, 3461, 13273, 13059, 1, 3, 5, 15, 5, 29,
    111, 15, 505, 347, 347, 2521, 4583, 5729, 11645, 1, 3, 3, 1, 9, 15, 57,
    211, 163, 749, 1549, 1015, 441, 16025, 28943, 1, 1, 3, 15, 15, 27, 111, 79,
    131, 831, 2045, 1937, 6969, 11223, 22711, 1, 3, 5, 1, 3, 37, 37, 221, 143,
    955, 1387, 3483, 5845, 13411, 16225, 1, 3, 1, 3, 7, 13, 75, 57, 357, 109,
    241, 165, 1845, 213, 8337, 1, 3, 1, 15, 5, 41, 109, 129, 91, 459, 1237,
    467, 8015, 14499, 19897, 1, 1, 5, 7, 23, 45, 73, 135, 161, 921, 127, 3723,
    1795, 4047, 16607, 1, 3, 1, 9, 21, 17, 13, 133, 251, 927, 1551, 3087, 317,
    2989, 30481, 1, 1, 3, 7, 15, 51, 17, 77, 345, 833, 983, 2855, 383, 10873,
    20019, 1, 1, 7, 7, 3, 9, 65, 115, 449, 375, 27, 2053, 175, 6793, 9761,
    1, 3, 5, 7, 17, 7, 51, 207, 389, 995, 1663, 3697, 5539, 13495, 4053, 1,
    1, 1, 13, 5, 25, 125, 139, 123, 433, 1323, 273, 6061, 7145, 13929, 1, 3,
    7, 3, 3, 1, 65, 217, 203, 887, 121, 961, 2843, 16171, 8433, 1, 1, 3,
    1, 21, 25, 93, 237, 203, 721, 1135, 751, 7193, 7453, 29593, 1, 1, 5, 13,
    27, 41, 125, 31, 145, 69, 1865, 471, 6031, 6589, 16185, 1, 1, 5, 1, 13,
    39, 15, 251, 125, 781, 1635, 231, 7503, 12647, 9493, 1, 1, 3, 11, 31, 35,
    39, 49, 279, 281, 285, 1707, 607, 3405, 5803, 1, 3, 5, 7, 29, 61, 43,
    15, 413, 759, 159, 2027, 4065, 9501, 31597, 1, 1, 5, 3, 21, 19, 25, 31,
    21, 139, 1273, 871, 423, 13737, 1633, 1, 1, 5, 11, 9, 15, 15, 247, 459,
    49, 2047, 289, 7457, 13367, 3343, 1, 3, 7, 1, 5, 43, 49, 115, 201, 131,
    297, 2069, 801, 7599, 675, 1, 1, 3, 15, 11, 19, 41, 135, 107, 325, 431,
    2459, 7629, 3407, 19635, 1, 1, 7, 15, 1, 45, 89, 249, 463, 319, 1577, 549,
    3623, 7053, 23037, 1, 3, 1, 11, 27, 23, 123, 63, 219, 77, 179, 3283, 2887,
    14023, 28277, 1, 3, 1, 9, 29, 47, 39, 61, 413, 327, 1529, 593, 7779, 14857,
    14165, 1, 3, 5, 3, 29, 15, 73, 231, 141, 435, 1835, 1023, 289, 1859, 1069,
    1, 3, 3, 3, 9, 35, 1, 153, 111, 521, 461, 3001, 5401, 9529, 19845, 1,
    1, 1, 15, 17, 43, 49, 227, 87, 199, 179, 1619, 6093, 15695, 30739, 1, 3,
    3, 9, 17, 53, 67, 199, 263, 931, 413, 1019, 679, 15483, 22211, 1, 1, 7,
    3, 19, 7, 55, 111, 499, 587, 1685, 1007, 5147, 6097, 31801, 1, 3, 7, 5,
    17, 15, 41, 167, 495, 439, 1161, 3737, 5957, 4151, 26597, 1, 3, 5, 13, 17,
    35, 103, 205, 83, 613, 1541, 2825, 2773, 14487, 177, 1, 3, 1, 5, 11, 31,
    1, 93, 87, 917, 1209, 1489, 4063, 7811, 31291, 1, 1, 5, 9, 27, 25, 15,
    121, 51, 207, 567, 2091, 6177, 121, 15305, 1, 3, 7, 13, 17, 27, 13, 31,
    443, 487, 863, 3253, 4961, 2695, 6427, 1, 3, 7, 15, 23, 23, 85, 229, 123,
    151, 519, 2581, 4073, 5915, 23715, 1, 3, 5, 9, 19, 41, 33, 71, 511, 683,
    1387, 2975, 5069, 4327, 25881, 1, 1, 7, 3, 9, 25, 29, 73, 55, 323, 483,
    1509, 4895, 5151, 13095, 1, 3, 7, 3, 7, 19, 95, 163, 239, 721, 747, 3965,
    6943, 11771, 5991, 1, 3, 1, 9, 27, 11, 5, 9, 291, 987, 313, 129, 4147,
    1005, 25719, 1, 1, 1, 5, 7, 25, 85, 197, 177, 759, 1083, 2615, 3647, 11873,
    17035, 1, 3, 1, 13, 13, 11, 29, 45, 103, 319, 1325, 2987, 7253, 3967, 32547,
    1, 3, 5, 9, 11, 27, 103, 75, 113, 741, 175, 2715, 1595, 7899, 261, 1,
    1, 3, 5, 3, 39, 113, 19, 301, 19, 1369, 2759, 467, 10387, 15763, 1, 1,
    5, 5, 5, 23, 47, 21, 69, 57, 1183, 2725, 2329, 4829, 22769, 1, 3, 3,
    13, 1, 39, 111, 11, 133, 143, 465, 1551, 2969, 2353, 9381, 1, 3, 7, 3,
    29, 19, 75, 97, 139, 325, 189, 477, 5687, 11105, 17325, 1, 1, 3, 15, 25,
    51, 53, 177, 41, 677, 233, 467, 4977, 8055, 30257, 1, 3, 7, 5, 29, 49,
    23, 247, 167, 229, 719, 1583, 3451, 11901, 10991, 1, 1, 1, 13, 5, 39, 35,
    247, 185, 409, 1481, 3993, 2023, 9251, 1253, 1, 1, 3, 13, 27, 35, 49, 251,
    359, 161, 1535, 3277, 1483, 8045, 22373, 1, 1, 1, 7, 3, 63, 103, 7, 141,
    305, 1803, 3429, 6819, 3389, 12915, 1, 3, 3, 15, 15, 7, 19, 121, 421, 633,
    1619, 1225, 4061, 13649, 25537, 1, 3, 7, 13, 5, 49, 117, 97, 85, 13, 55,
    2991, 6215, 15087, 29311, 1, 1, 7, 13, 29, 37, 23, 75, 11, 899, 1519, 2151,
    235, 7121, 20881, 1, 3, 5, 13, 7, 9, 97, 57, 307, 791, 745, 881, 6627,
    1639, 22029, 1, 3, 7, 11, 31, 25, 67, 153, 397, 115, 1951, 553, 2511, 853,
    22771, 1, 1, 7, 13, 13, 33, 3, 49, 281, 847, 395, 2671, 7173, 11035, 2809,
    1, 3, 7, 11, 7, 13, 21, 93, 279, 453, 1793, 1183, 4071, 11357, 15871, 1,
    3, 5, 1, 31, 27, 87, 115, 373, 519, 1691, 3339, 5319, 10765, 3497, 1, 3,
    5, 11, 27, 13, 73, 111, 349, 889, 1447, 1733, 7701, 9263, 27267, 1, 1, 1,
    13, 15, 25, 31, 187, 227, 119, 955, 1233, 2749, 8477, 12031, 1, 3, 1, 7,
    19, 13, 89, 151, 61, 267, 1833, 3023, 8177, 12863, 13851, 1, 1, 7, 11, 11,
    19, 65, 223, 175, 893, 1515, 2323, 6725, 747, 10299, 1, 1, 1, 15, 3, 17,
    109, 119, 371, 193, 1289, 219, 463, 9043, 31471, 1, 1, 1, 3, 9, 9, 71,
    185, 81, 849, 917, 2495, 4065, 14161, 14287, 1, 1, 5, 3, 5, 59, 111, 133,
    351, 247, 1035, 3277, 3865, 5879, 16537, 1, 3, 3, 11, 23, 47, 3, 39, 343,
    71, 109, 4005, 7453, 8327, 9797, 1, 1, 1, 5, 21, 31, 53, 33, 115, 287,
    431, 2085, 5275, 5253, 18137, 1, 3, 1, 15, 21, 43, 95, 143, 103, 611, 583,
    41, 483, 13973, 30231, 1, 1, 1, 9, 9, 33, 49, 35, 329, 887, 1593, 2301,
    229, 10291, 21153, 1, 3, 5, 9, 25, 55, 55, 207, 381, 747, 997, 3105, 377,
    15327, 24367, 1, 3, 7, 15, 23, 25, 101, 225, 345, 579, 975, 2383, 7833, 12727,
    15991, 1, 3, 3, 1, 23, 13, 51, 45, 471, 271, 151, 1407, 2079, 3521, 6469,
    1, 3, 1, 9, 3, 11, 117, 115, 89, 871, 1989, 1341, 2415, 12921, 3531, 1,
    3, 3, 1, 3, 49, 41, 215, 277, 155, 1185, 2837, 4361, 14495, 19877, 1, 1,
    1, 9, 9, 19, 31, 211, 179, 367, 1597, 561, 5397, 7525, 2963, 1, 3, 7,
    11, 25, 45, 29, 151, 107, 13, 1461, 235, 6939, 6223, 13111, 1, 3, 7, 15,
    17, 11, 43, 113, 65, 321, 1393, 1131, 2481, 13139, 14647, 1, 3, 7, 3, 15,
    23, 45, 229, 175, 857, 1303, 783, 3929, 855, 13581, 1, 3, 7, 3, 7, 55,
    99, 85, 415, 667, 603, 593, 427, 10725, 6973, 1, 3, 7, 3, 1, 23, 93,
    177, 59, 601, 1947, 3253, 639, 10007, 1441, 1, 3, 5, 11, 13, 37, 79, 19,
    395, 161, 945, 969, 1579, 13537, 6347, 1, 3, 1, 15, 3, 61, 101, 3, 289,
    707, 61, 1405, 811, 6727, 22339, 1, 3, 5, 11, 3, 45, 19, 125, 503, 153,
    1439, 2105, 7483, 1835, 22841, 1, 1, 7, 3, 23, 49, 49, 227, 413, 57, 1829,
    37, 407, 4203, 20575, 1, 3, 5, 11, 3, 43, 93, 85, 37, 471, 1971, 1559,
    5151, 11641, 13011, 1, 1, 5, 15, 5, 13, 17, 209, 125, 581, 57, 43, 7089,
    3367, 16073, 1, 3, 3, 9, 29, 51, 93, 223, 73, 917, 1657, 2811, 1593, 8595,
    23347, 1, 3, 1, 15, 25, 21, 111, 207, 61, 815, 805, 1439, 5745, 5065, 9877,
    1, 3, 3, 15, 7, 1, 113, 225, 467, 341, 1145, 3839, 1127, 5085, 885, 1,
    1, 7, 3, 13, 27, 103, 17, 175, 351, 1321, 2093, 3407, 3387, 1663, 1, 3,
    5, 13, 5, 61, 31, 223, 249, 797, 1541, 3985, 2165, 8741, 561, 1, 1, 1,
    7, 21, 51, 119, 9, 331, 305, 1279, 3331, 2769, 673, 26293, 1, 1, 3, 9,
    7, 61, 65, 157, 7, 259, 871, 557, 7917, 12839, 18521, 1, 3, 3, 5, 9,
    63, 21, 109, 409, 843, 1811, 1869, 6833, 6041, 31557, 1, 1, 5, 15, 17, 17,
    25, 79, 157, 657, 1049, 2071, 4381, 14123, 4609, 1, 1, 5, 3, 3, 7, 45,
    69, 311, 197, 1729, 2803, 2621, 1165, 26455, 1, 3, 7, 7, 23, 21, 21, 227,
    481, 825, 1871, 325, 3199, 5591, 22061, 1, 3, 1, 7, 7, 53, 125, 163, 133,
    1015, 727, 329, 403, 3347, 8957, 1, 1, 3, 1, 13, 19, 107, 31, 261, 771,
    195, 2381, 2577, 5381, 7159, 1, 3, 7, 9, 7, 21, 61, 179, 405, 745, 689,
    2527, 4189, 12869, 32101, 1, 3, 7, 1, 3, 25, 35, 103, 107, 433, 1039, 3557,
    7207, 13945, 27751, 1, 3, 5, 5, 7, 9, 55, 93, 39, 965, 1391, 1069, 6003,
    3785, 17337, 1, 1, 5, 5, 11, 33, 127, 247, 443, 697, 2007, 491, 3773, 4921,
    21083, 1, 1, 5, 9, 1, 3, 33, 99, 31, 797, 295, 2855, 1911, 5741, 21255,
    1, 1, 5, 9, 25, 27, 77, 111, 119, 1, 193, 2825, 3721, 2923, 1301, 1,
    1, 1, 9, 11, 51, 51, 193, 331, 867, 1711, 969, 1245, 2815, 13165, 1, 3,
    5, 1, 23, 29, 23, 193, 357, 567, 983, 2861, 3973, 3613, 8049, 1, 1, 7,
    3, 27, 1, 117, 255, 149, 427, 1211, 2945, 4057, 725, 11061, 1, 1, 7, 5,
    13, 5, 101, 21, 167, 535, 825, 639, 6659, 9779, 11939, 1, 3, 7, 1, 23,
    25, 5, 15, 491, 531, 1035, 1989, 2125, 2779, 3207, 1, 1, 3, 13, 13, 25,
    43, 155, 251, 761, 123, 1373, 649, 11709, 22331, 1, 3, 5, 13, 25, 37, 15,
    247, 303, 95, 1837, 499, 2181, 11223, 1633, 1, 1, 1, 5, 15, 53, 29, 193,
    11, 625, 21, 3893, 957, 493, 32393, 1, 1, 5, 9, 31, 13, 3, 235, 65,
    563, 1787, 387, 2573, 3435, 8669, 1, 3, 5, 1, 29, 17, 73, 81, 207, 335,
    1949, 3519, 6491, 9185, 2305, 1, 1, 3, 11, 5, 43, 15, 141, 347, 171, 1965,
    2733, 7873, 7295, 10571, 1, 1, 5, 11, 5, 3, 73, 89, 189, 77, 877, 1127,
    3609, 11649, 31191, 1, 1, 3, 15, 15, 25, 103, 73, 363, 261, 833, 2297, 4295,
    13505, 8435, 1, 1, 3, 9, 23, 57, 15, 87, 215, 789, 975, 2659, 6407, 9883,
    3863, 1, 1, 1, 9, 19, 51, 127, 77, 259, 161, 1527, 1911, 6707, 15573, 12479,
    1, 3, 1, 15, 11, 5, 35, 89, 235, 281, 269, 511, 783, 307, 19887, 1,
    3, 7, 15, 1, 43, 85, 25, 133, 577, 1719, 3999, 4597, 125, 12945, 1, 3,
    5, 15, 3, 1, 3, 111, 145, 485, 1959, 1859, 3567, 4219, 7507, 1, 1, 3,
    5, 27, 17, 45, 157, 87, 895, 497, 3, 1553, 2697, 24767, 1, 3, 5, 1,
    31, 23, 123, 67, 349, 717, 1699, 823, 851, 1283, 25641, 1, 1, 5, 15, 9,
    61, 43, 171, 33, 367, 1887, 917, 1901, 10881, 5699, 1, 3, 1, 7, 11, 33,
    45, 19, 71, 913, 687, 265, 1579, 13857, 3833, 1, 3, 1, 5, 7, 15, 11,
    87, 277, 435, 1479, 3025, 4663, 12063, 25185, 1, 1, 1, 1, 15, 11, 91, 99,
    195, 77, 967, 2741, 4291, 4441, 2763, 1, 3, 7, 9, 9, 47, 25, 225, 193,
    569, 561, 2567, 2751, 9035, 21613, 1, 1, 3, 9, 3, 25, 99, 95, 33, 811,
    479, 99, 7893, 869, 6879, 1, 1, 5, 7, 11, 43, 111, 131, 107, 989, 147,
    529, 6361, 769, 26651, 1, 1, 5, 9, 23, 47, 81, 97, 357, 613, 609, 357,
    2001, 14795, 25093, 1, 1, 7, 3, 1, 13, 31, 171, 471, 981, 1923, 3053, 1577,
    14433, 1795, 1, 1, 3, 11, 29, 15, 107, 5, 281, 773, 1323, 763, 6821, 15309,
    21459, 1, 1, 5, 3, 17, 47, 49, 159, 17, 595, 1405, 1307, 3027, 3023, 17231,
    1, 3, 3, 11, 5, 37, 39, 247, 391, 587, 1305, 969, 7183, 1079, 5723, 1,
    3, 7, 5, 11, 57, 49, 55, 505, 961, 115, 2445, 583, 9175, 11897, 1, 1,
    7, 13, 23, 35, 9, 59, 147, 139, 361, 1497, 1691, 1149, 19777, 1, 3, 7,
    1, 19, 41, 71, 63, 401, 193, 107, 1891, 5353, 4619, 18311, 1, 1, 7, 1,
    27, 7, 49, 69, 179, 461, 1625, 2431, 5149, 3221, 14221, 1, 3, 7, 13, 7,
    11, 55, 93, 191, 1011, 139, 2323, 5103, 9655, 28605, 1, 1, 5, 7, 29, 53,
    117, 253, 193, 29, 2003, 2051, 6113, 4941, 18407, 1, 1, 5, 5, 31, 7, 63,
    179, 371, 1007, 107, 113, 6845, 8507, 9691, 1, 1, 7, 7, 9, 31, 91, 225,
    115, 905, 1593, 2791, 1507, 13323, 787, 1, 3, 1, 9, 31, 13, 81, 111, 255,
    467, 2007, 3591, 3849, 3445, 6859, 1, 3, 7, 15, 19, 3, 89, 171, 445, 803,
    1583, 1875, 5631, 10583, 32527, 1, 3, 3, 15, 29, 29, 41, 199, 237, 507, 1715,
    3887, 2951, 5803, 32749, 1, 1, 3, 5, 21, 51, 29, 131, 459, 611, 967, 99,
    8057, 12685, 16021, 1, 3, 5, 5, 21, 19, 103, 131, 149, 477, 437, 4003, 7141,
    2465, 32723, 1, 3, 7, 15, 9, 41, 115, 47, 261, 589, 1859, 631, 719, 4459,
    26475, 1, 3, 1, 7, 9, 43, 79, 51, 383, 355, 1977, 739, 7333, 3573, 16061,
    1, 1, 3, 1, 11, 9, 79, 141, 135, 195, 755, 585, 7125, 4643, 31791, 1,
    1, 1, 7, 21, 23, 5, 225, 57, 307, 455, 3713, 8167, 4759, 10337, 1, 3,
    1, 15, 3, 45, 9, 225, 167, 847, 1205, 2105, 2547, 10925, 31181, 1, 1, 3,
    5, 3, 25, 57, 21, 45, 685, 53, 2447, 3139, 10949, 14939, 1, 3, 5, 7,
    13, 55, 13, 185, 353, 613, 1655, 1171, 6261, 1703, 26859, 1, 1, 1, 15, 25,
    29, 99, 81, 141, 387, 1369, 2177, 289, 14499, 23795, 1, 3, 7, 5, 1, 37,
    123, 99, 1, 707, 1415, 1275, 3979, 3359, 17807, 1, 1, 5, 15, 19, 7, 113,
    51, 329, 109, 1705, 517, 1887, 393, 8283, 1, 3, 1, 13, 23, 63, 89, 117,
    89, 515, 1221, 3267, 2371, 5065, 16391, 1, 3, 5, 15, 1, 17, 39, 129, 453,
    503, 841, 2997, 4279, 8639, 17623, 1, 3, 5, 15, 27, 23, 127, 85, 301, 491,
    959, 3241, 7525, 13723, 12317, 1, 3, 5, 9, 31, 63, 45, 237, 173, 823, 223,
    3129, 3285, 359, 3549, 1, 3, 5, 7, 19, 29, 85, 191, 395, 717, 1305, 2529,
    7939, 10905, 8941, 1, 1, 5, 13, 31, 3, 41, 61, 461, 341, 683, 1973, 7127,
    2183, 2137, 1, 3, 1, 7, 27, 33, 97, 97, 319, 329, 1075, 539, 3313, 6343,
    11249, 1, 3, 5, 7, 25, 31, 99, 59, 337, 169, 861, 1989, 5999, 5397, 20563,
    1, 1, 5, 13, 17, 37, 83, 33, 75, 887, 379, 3499, 733, 4343, 31503, 1,
    1, 3, 1, 3, 45, 3, 245, 37, 797, 43, 943, 5301, 6857, 6653, 1, 1,
    1, 3, 9, 7, 39, 231, 349, 481, 1831, 2115, 6381, 13021, 18775, 1, 3, 1,
    11, 31, 27, 33, 103, 469, 987, 663, 3533, 1441, 4703, 23383, 1, 3, 3, 15,
    27, 59, 31, 31, 463, 851, 1957, 2905, 4823, 12549, 849, 1, 3, 7, 5, 17,
    31, 125, 183, 189, 297, 417, 1387, 5811, 10517, 19367, 1, 3, 7, 7, 7, 9,
    91, 9, 343, 267, 493, 431, 2345, 7173, 1769, 1, 1, 1, 13, 13, 43, 75,
    83, 19, 115, 1609, 2449, 5647, 12201, 27053, 1, 3, 7, 7, 1, 7, 81, 89,
    371, 283, 993, 3875, 6853, 16039, 12725, 1, 1, 7, 1, 21, 61, 121, 135, 333,
    339, 39, 2543, 3517, 9099, 27495, 1, 1, 7, 13, 19, 59, 65, 65, 407, 255,
    915, 2679, 2841, 13981, 6351, 1, 3, 1, 5, 9, 45, 73, 217, 93, 3, 493,
    531, 6709, 6543, 26243, 1, 3, 3, 13, 9, 25, 77, 223, 495, 789, 1885, 383,
    7767, 4309, 29863, 1, 3, 5, 7, 21, 55, 11, 13, 19, 605, 1067, 667, 1163,
    3847, 17997, 1, 1, 7, 1, 15, 51, 69, 115, 19, 1003, 1307, 3245, 7087, 6935,
    25439, 1, 1, 7, 5, 11, 7, 85, 171, 301, 953, 507, 3873, 1121, 1663, 6321,
    1, 1, 1, 13, 11, 1, 105, 175, 163, 847, 983, 3869, 3571, 3405, 25475, 1,
    3, 5, 15, 7, 51, 89, 127, 347, 867, 429, 1483, 5203, 5215, 18521, 1, 1,
    3, 7, 21, 35, 91, 107, 111, 895, 1827, 3273, 3189, 4253, 12643, 1, 3, 5,
    15, 31, 33, 59, 27, 59, 297, 7, 1521, 1571, 10275, 32537, 1, 1, 5, 11,
    1, 27, 17, 115, 349, 593, 1819, 707, 4915, 2053, 13393, 1, 1, 1, 1, 25,
    47, 73, 163, 191, 637, 1723, 2431, 4821, 4283, 14647, 1, 3, 7, 13, 1, 55,
    67, 89, 113, 757, 1675, 255, 99, 9427, 953, 1, 3, 7, 5, 1, 33, 7,
    49, 299, 205, 1933, 2319, 6047, 6837, 6411, 1, 1, 7, 5, 11, 35, 61, 211,
    487, 253, 1463, 2039, 3859, 4315, 29603, 1, 3, 1, 15, 23, 49, 99, 41, 263,
    177, 193, 921, 1031, 13745, 14283, 1, 3, 7, 5, 19, 35, 91, 19, 481, 305,
    477, 2989, 7319, 2477, 2481, 1, 3, 7, 13, 1, 15, 25, 133, 175, 571, 15,
    505, 7459, 13283, 10253, 1, 3, 7, 11, 13, 27, 95, 179, 149, 267, 481, 543,
    3643, 4261, 1241, 1, 1, 3, 1, 5, 25, 115, 27, 503, 595, 43, 975, 6223,
    14173, 12977, 1, 1, 1, 13, 17, 55, 3, 129, 125, 565, 785, 2787, 5963, 12565,
    11061, 1, 1, 1, 1, 23, 25, 51, 89, 317, 887, 1007, 1619, 3221, 4015, 18183,
    1, 3, 3, 7, 27, 37, 33, 131, 379, 505, 1679, 2381, 629, 8593, 15553, 1,
    3, 1, 9, 21, 53, 79, 85, 27, 541, 997, 1721, 2379, 9939, 32197, 1, 3,
    7, 5, 29, 3, 29, 7, 499, 195, 157, 1431, 1117, 14781, 14811, 1, 3, 3,
    9, 23, 19, 41, 59, 313, 391, 193, 3813, 2769, 7845, 4853, 1, 1, 7, 7,
    7, 61, 103, 45, 225, 753, 339, 963, 3991, 8699, 19805, 1, 1, 3, 5, 15,
    61, 125, 121, 53, 105, 121, 1939, 4745, 1193, 1733, 1, 1, 7, 7, 29, 29,
    71, 137, 195, 757, 1251, 3483, 6977, 1189, 4929, 1, 1, 3, 9, 1, 11, 21,
    39, 199, 873, 1063, 3327, 2171, 14611, 15283, 1, 3, 3, 15, 11, 19, 71, 185,
    235, 211, 1435, 543, 3445, 2533, 25037, 1, 3, 1, 7, 15, 17, 33, 139, 301,
    853, 2027, 1665, 4931, 2083, 9775, 1, 3, 5, 1, 31, 21, 91, 71, 273, 119,
    801, 2071, 4537, 541, 743, 1, 1, 3, 5, 29, 23, 15, 225, 333, 979, 443,
    1425, 3383, 5137, 27273, 1, 1, 1, 5, 21, 27, 121, 169, 495, 883, 355, 3923,
    1505, 13033, 6421, 1, 3, 1, 5, 3, 17, 19, 169, 43, 659, 893, 1913, 885,
    1239, 4055, 1, 1, 1, 13, 13, 39, 1, 123, 29, 573, 475, 535, 4685, 6377,
    30009, 1, 3, 7, 7, 15, 53, 93, 183, 379, 125, 489, 4059, 5411, 7909, 25799,
    1, 1, 1, 3, 23, 31, 75, 61, 75, 379, 1221, 3045, 7111, 10639, 3177, 1,
    1, 1, 7, 27, 37, 77, 145, 35, 1005, 1105, 1301, 5217, 3011, 22631, 1, 1,
    5, 5, 29, 7, 55, 139, 323, 413, 31, 1719, 2315, 5809, 9521, 1, 3, 1,
    3, 21, 61, 45, 143, 427, 511, 1007, 1009, 6775, 4243, 29573, 1, 1, 3, 9,
    11, 13, 29, 99, 179, 493, 1793, 375, 109, 8561, 14799, 1, 3, 1, 9, 5,
    37, 83, 227, 241, 933, 869, 2125, 2733, 205, 14985, 1, 3, 7, 3, 11, 17,
    39, 97, 229, 805, 491, 2881, 4147, 2159, 32461, 1, 3, 7, 15, 27, 17, 71,
    227, 247, 731, 1287, 397, 7237, 10869, 7799, 1, 3, 7, 15, 7, 1, 63, 163,
    249, 111, 1015, 2379, 7051, 11615, 20031, 1, 1, 7, 1, 1, 41, 61, 99, 385,
    725, 161, 2595, 1789, 6619, 13397, 1, 1, 7, 15, 5, 53, 59, 153, 427, 251,
    1977, 1757, 821, 6391, 7825, 1, 1, 3, 15, 17, 19, 83, 55, 199, 573, 337,
    919, 649, 555, 27791, 1, 3, 1, 5, 25, 11, 23, 167, 443, 325, 2037, 2533,
    643, 1815, 24747, 1, 1, 1, 7, 3, 15, 21, 73, 165, 241, 1089, 337, 4465,
    11867, 31075, 1, 3, 1, 9, 31, 33, 41, 217, 185, 973, 1971, 1537, 1251, 4307,
    22729, 1, 1, 1, 11, 7, 51, 17, 37, 113, 339, 211, 947, 4649, 8061, 1533,
    1, 3, 3, 11, 7, 1, 29, 233, 145, 121, 83, 3311, 2007, 15325, 2507, 1,
    3, 1, 5, 25, 9, 117, 227, 359, 401, 695, 841, 5825, 14661, 14937, 1, 3,
    3, 13, 27, 43, 61, 117, 297, 773, 1589, 347, 3227, 10893, 3331, 1, 1, 5,
    13, 5, 15, 65, 97, 155, 905, 655, 1665, 2759, 14709, 14327, 1, 3, 3, 11,
    31, 9, 63, 207, 287, 895, 817, 1753, 1961, 15363, 5269, 1, 1, 1, 11, 3,
    17, 21, 131, 295, 553, 1583, 1797, 6949, 7047, 30351, 1, 3, 7, 5, 23, 9,
    123, 155, 1, 525, 469, 165, 591, 6113, 17593, 1, 3, 5, 13, 27, 21, 125,
    175, 323, 113, 1805, 3775, 443, 15723, 187, 1, 3, 5, 13, 29, 7, 89, 123,
    349, 469, 635, 629, 1227, 11601, 10409, 1, 3, 1, 5, 13, 7, 13, 209, 431,
    59, 2001, 1347, 4619, 11581, 23281, 1, 3, 5, 3, 3, 9, 15, 169, 77, 293,
    17, 3205, 5035, 14777, 2175, 1, 1, 1, 9, 27, 5, 39, 237, 275, 121, 217,
    1283, 1619, 9115, 18019, 1, 1, 1, 11, 31, 43, 111, 235, 439, 217, 769, 513,
    5147, 4033, 27329, 1, 1, 5, 5, 31, 25, 35, 71, 441, 1013, 963, 2945, 4507,
    16329, 5965, 1, 3, 1, 7, 27, 25, 109, 43, 421, 963, 553, 3347, 3159, 11909,
    29827, 1, 3, 3, 11, 5, 17, 1, 253, 497, 209, 423, 3837, 5233, 3919, 4593,
    1, 3, 5, 11, 1, 61, 85, 61, 59, 637, 1017, 455, 5529, 7495, 16645, 1,
    1, 1, 5, 11, 11, 111, 151, 297, 289, 259, 1737, 4033, 5545, 22049, 1, 1,
    3, 9, 11, 33, 53, 43, 95, 859, 1113, 3201, 2705, 15009, 24945, 1, 1, 7,
    3, 7, 1, 59, 201, 127, 1023, 879, 1359, 4323, 11829, 32591, 1, 1, 5, 13,
    1, 15, 65, 3, 7, 373, 427, 3987, 3849, 16289, 3669, 1, 1, 1, 3, 23,
    21, 49, 215, 159, 577, 963, 3257, 5919, 4397, 14811, 1, 3, 1, 9, 3, 43,
    51, 49, 331, 717, 791, 279, 3305, 955, 14003, 1, 1, 7, 7, 19, 45, 11,
    249, 9, 221, 1525, 2413, 1807, 191, 3063, 1, 3, 7, 1, 17, 33, 45, 201,
    471, 683, 13, 3851, 7337, 2249, 8287, 1, 3, 3, 1, 11, 21, 85, 141, 445,
    691, 577, 2781, 3677, 11799, 25555, 1, 1, 7, 1, 3, 27, 71, 245, 341, 69,
    1355, 1289, 8165, 1159, 6001, 1, 3, 3, 15, 11, 31, 31, 117, 193, 847, 1755,
    1629, 6707, 5447, 15961, 1, 1, 1, 1, 23, 13, 69, 107, 33, 731, 233, 2225,
    201, 2667, 19935, 1, 1, 1, 9, 31, 9, 25, 225, 373, 99, 1725, 3029, 5019,
    10927, 541, 1, 3, 3, 1, 29, 29, 37, 235, 135, 99, 599, 581, 7663, 1607,
    7957, 1, 3, 1, 11, 1, 31, 79, 33, 319, 341, 1701, 973, 5783, 3003, 15311,
    1, 3, 5, 15, 19, 11, 95, 51, 35, 887, 1505, 207, 7925, 1919, 30735, 1,
    3, 5, 7, 3, 27, 55, 41, 293, 519, 1885, 617, 321, 5911, 26813, 1, 1,
    7, 1, 7, 59, 9, 59, 291, 927, 1241, 1707, 3833, 13859, 3311, 1, 3, 3,
    13, 17, 61, 1, 155, 355, 943, 159, 2519, 7835, 14097, 671, 1, 1, 3, 3,
    29, 33, 59, 37, 363, 605, 365, 2431, 2529, 6449, 8847, 1, 3, 7, 5, 1,
    33, 87, 215, 465, 937, 2031, 421, 2535, 10017, 18395, 1, 1, 7, 1, 27, 25,
    7, 103, 501, 53, 1491, 99, 7433, 8251, 18849, 1, 3, 1, 1, 31, 15, 7,
    89, 145, 457, 7, 2821, 6595, 5893, 29049, 1, 1, 3, 7, 15, 55, 127, 39,
    493, 39, 1753, 643, 4005, 12041, 21811, 1, 3, 3, 3, 17, 23, 79, 129, 181,
    1017, 767, 1869, 4589, 4059, 15391, 1, 1, 1, 3, 13, 17, 109, 253, 441, 361,
    1641, 1647, 2139, 11629, 21061, 1, 1, 3, 15, 5, 15, 43, 113, 455, 17, 353,
    3431, 4871, 14777, 3257, 1, 3, 1, 1, 7, 5, 49, 199, 295, 467, 1151, 2563,
    1261, 1611, 8457, 1, 3, 3, 9, 21, 1, 107, 71, 67, 271, 427, 673, 2093,
    13255, 15941, 1, 1, 7, 7, 19, 55, 127, 109, 101, 773, 1423, 2725, 2403, 1419,
    2543, 1, 3, 5, 9, 25, 49, 15, 77, 423, 723, 2033, 275, 1593, 3055, 12043,
    1, 3, 1, 9, 29, 27, 115, 5, 407, 797, 2041, 155, 2389, 9749, 31653, 1,
    3, 3, 7, 5, 29, 123, 139, 467, 377, 1853, 2769, 6523, 14195, 31539, 1, 3,
    3, 5, 25, 41, 103, 89, 469, 577, 1583, 1061, 7609, 4261, 17323, 1, 1, 5,
    5, 29, 37, 79, 179, 189, 185, 535, 3433, 6091, 4935, 21853, 1, 1, 5, 13,
    17, 63, 119, 191, 7, 353, 1591, 2881, 7857, 11355, 32427, 1, 3, 1, 7, 13,
    53, 21, 151, 499, 721, 1495, 2101, 7061, 12529, 16733, 1, 1, 7, 1, 1, 1,
    17, 141, 221, 875, 1569, 3165, 2583, 2803, 21001, 1, 3, 3, 13, 7, 7, 99,
    129, 381, 237, 159, 2359, 2223, 7465, 25437, 1, 1, 3, 15, 31, 19, 103, 17,
    475, 649, 279, 1321, 1751, 6957, 26055, 1, 1, 1, 7, 5, 41, 3, 29, 23,
    513, 1619, 291, 3949, 12117, 15175, 1, 3, 1, 3, 13, 13, 73, 77, 373, 999,
    1985, 161, 3223, 10873, 2967, 1, 1, 5, 7, 27, 1, 47, 79, 463, 499, 37,
    113, 3207, 6753, 13207, 1, 1, 1, 9, 29, 33, 71, 225, 71, 943, 197, 3645,
    7459, 5495, 22449, 1, 1, 3, 9, 1, 21, 101, 31, 357, 689, 1081, 165, 621,
    11277, 21773, 1, 1, 7, 3, 13, 13, 21, 11, 87, 741, 765, 3299, 2741, 12825,
    13383, 1, 3, 3, 5, 5, 51, 49, 215, 427, 513, 621, 4067, 661, 12261, 6839,
    1, 1, 7, 9, 13, 9, 77, 17, 229, 139, 1053, 2061, 4915, 1047, 3621, 1,
    1, 3, 1, 9, 7, 125, 165, 301, 721, 493, 543, 4885, 5011, 24545, 1, 3,
    3, 11, 31, 11, 5, 61, 89, 35, 1551, 3031, 1175, 16223, 19433, 1, 1, 1,
    11, 27, 31, 115, 181, 487, 53, 795, 1789, 7343, 7821, 20469, 1, 1, 5, 3,
    7, 25, 89, 145, 107, 361, 171, 2407, 1159, 9341, 23877, 1, 3, 3, 15, 27,
    47, 31, 53, 53, 479, 1479, 427, 461, 7287, 15947, 1, 3, 7, 5, 3, 11,
    79, 151, 463, 315, 919, 1531, 2367, 5189, 6971, 1, 1, 5, 9, 25, 17, 3,
    111, 167, 365, 871, 355, 6763, 11889, 5531, 1, 1, 1, 13, 25, 31, 25, 185,
    63, 335, 177, 3017, 941, 11849, 6879, 1, 1, 3, 7, 29, 13, 81, 121, 119,
    807, 1647, 569, 23, 9045, 15513, 1, 1, 1, 5, 5, 61, 115, 79, 115, 401,
    383, 3679, 8159, 15199, 1531, 1, 3, 3, 11, 17, 45, 17, 37, 175, 735, 849,
    3597, 7253, 11863, 5215, 1, 1, 1, 13, 7, 59, 99, 67, 223, 635, 1645, 3169,
    2655, 15925, 14969, 1, 3, 7, 15, 25, 17, 17, 25, 1, 799, 829, 2085, 7371,
    6905, 11573, 1, 1, 5, 1, 19, 33, 127, 31, 305, 523, 1141, 1171, 3707, 14687,
    27897, 1, 1, 1, 11, 3, 7, 95, 243, 373, 481, 1663, 1449, 687, 5643, 3265,
    1, 3, 7, 11, 17, 35, 45, 15, 201, 389, 1085, 1597, 5073, 5009, 6921, 1,
    1, 5, 1, 25, 33, 99, 57, 429, 153, 1663, 1797, 785, 7323, 24763, 1, 1,
    7, 15, 1, 63, 93, 225, 189, 297, 927, 2127, 7335, 5187, 12047, 1, 1, 5,
    9, 23, 47, 27, 113, 469, 649, 1135, 1363, 6777, 2047, 5759, 1, 1, 3, 1,
    9, 33, 21, 123, 309, 635, 1217, 1087, 4525, 10165, 18071, 1, 3, 3, 3, 19,
    49, 13, 217, 155, 945, 1987, 2425, 3891, 13831, 21777, 1, 1, 3, 11, 25, 9,
    75, 149, 241, 175, 799, 1285, 3265, 14103, 30147, 1, 1, 1, 3, 13, 41, 87,
    127, 179, 723, 1345, 667, 4155, 8037, 29583, 1, 1, 1, 9, 15, 57, 67, 197,
    131, 957, 1855, 2857, 2939, 6459, 5807, 1, 3, 5, 5, 23, 39, 19, 95, 103,
    961, 239, 1151, 1069, 10261, 6065, 1, 3, 3, 15, 23, 29, 51, 121, 45, 561,
    1317, 1777, 1325, 5833, 5765, 1, 1, 5, 1, 31, 3, 67, 9, 453, 281, 525,
    1751, 5771, 14257, 11869, 1, 1, 7, 1, 13, 35, 33, 59, 117, 737, 929, 547,
    4839, 7013, 28395, 1, 3, 7, 15, 21, 41, 19, 15, 73, 377, 665, 3867, 6445,
    13137, 995, 1, 3, 7, 11, 13, 41, 53, 115, 435, 607, 871, 315, 6573, 6321,
    10413, 1, 3, 3, 3, 27, 31, 23, 7, 151, 923, 1903, 789, 5031, 10631, 777,
    1, 1, 7, 7, 9, 25, 17, 241, 19, 569, 1269, 1211, 3947, 11351, 31211, 1,
    1, 7, 13, 25, 31, 79, 111, 157, 483, 1787, 1201, 3491, 7943, 4879, 1, 3,
    7, 13, 19, 9, 31, 133, 125, 347, 15, 1287, 4355, 15357, 21391, 1, 3, 3,
    13, 1, 29, 63, 175, 279, 799, 1867, 2221, 6043, 307, 12475, 1, 1, 7, 5,
    23, 51, 93, 65, 209, 45, 409, 3405, 2053, 1399, 4423, 1, 3, 7, 13, 23,
    55, 21, 121, 281, 115, 85, 1941, 2609, 7041, 16267, 1, 1, 3, 5, 25, 3,
    113, 107, 37, 393, 737, 2671, 7405, 12191, 27679, 1, 1, 3, 13, 15, 13, 33,
    233, 25, 163, 1097, 2977, 6933, 14625, 29587, 1, 1, 1, 1, 31, 13, 11, 25,
    47, 589, 2035, 3595, 1299, 10171, 12695, 1, 3, 5, 11, 31, 63, 97, 67, 381,
    1021, 1029, 2869, 5779, 15451, 4291, 1, 1, 1, 5, 9, 37, 9, 205, 169, 375,
    1367, 1749, 8015, 1019, 12671, 1, 3, 5, 7, 13, 29, 75, 53, 173, 535, 1795,
    1705, 3601, 2487, 29851, 1, 3, 3, 5, 5, 17, 81, 209, 229, 913, 959, 3597,
    1515, 13401, 1531, 1, 3, 3, 5, 29, 47, 5, 43, 117, 215, 1469, 3743, 6801,
    10511, 11097, 1, 1, 1, 9, 11, 5, 79, 247, 43, 853, 663, 1967, 355, 12263,
    15877, 1, 3, 3, 5, 25, 23, 105, 203, 255, 677, 1855, 527, 825, 433, 27701,
    1, 3, 3, 1, 13, 29, 119, 47, 331, 203, 1515, 1581, 1707, 10621, 19371, 1,
    1, 1, 13, 27, 15, 5, 255, 201, 861, 1809, 703, 1707, 8209, 5175, 1, 3,
    1, 13, 17, 61, 41, 143, 459, 291, 1747, 3605, 5545, 7441, 21493, 1, 1, 3,
    9, 21, 61, 77, 61, 79, 855, 57, 1543, 2755, 6249, 3387, 1, 1, 3, 1,
    17, 5, 117, 243, 153, 397, 693, 701, 2201, 11375, 23753, 1, 1, 7, 7, 17,
    25, 123, 239, 411, 633, 395, 3809, 1483, 15125, 22221, 1, 3, 3, 3, 7, 45,
    57, 51, 35, 463, 1287, 3101, 4213, 12931, 28639, 1, 3, 1, 5, 13, 7, 103,
    177, 277, 645, 833, 883, 3607, 13545, 6405, 1, 3, 7, 11, 17, 3, 41, 161,
    511, 483, 773, 147, 8113, 2203, 29711, 1, 3, 1, 5, 13, 29, 79, 189, 351,
    65, 93, 1195, 5205, 7989, 14085, 1, 1, 3, 11, 13, 5, 13, 35, 231, 627,
    1155, 1117, 3889, 3645, 25099, 1, 3, 5, 3, 13, 63, 73, 83, 249, 559, 303,
    3303, 5387, 15773, 16249, 1, 1, 1, 9, 21, 23, 63, 153, 291, 951, 1409, 1333,
    5385, 14621, 13763, 1, 3, 1, 9, 1, 45, 13, 139, 437, 495, 773, 1401, 1599,
    2555, 21579, 1, 3, 1, 9, 11, 15, 51, 123, 393, 223, 1045, 1001, 6955, 12755,
    5979, 1, 1, 1, 7, 31, 31, 57, 127, 339, 133, 1489, 3055, 3051, 14931, 7757,
    1, 3, 5, 9, 1, 23, 97, 79, 491, 641, 295, 2597, 3857, 1889, 16295, 1,
    3, 7, 7, 21, 31, 111, 77, 199, 401, 1829, 925, 6023, 16161, 1783, 1, 3,
    3, 1, 5, 9, 53, 133, 347, 761, 841, 841, 3031, 10201, 27245, 1, 1, 3,
    13, 31, 35, 21, 19, 95, 861, 1385, 3607, 335, 14643, 20435, 1, 3, 3, 13,
    7, 61, 47, 225, 235, 333, 1923, 2961, 61, 14463, 12329, 1, 3, 5, 5, 23,
    35, 43, 175, 25, 573, 1253, 233, 5377, 3153, 24543, 1, 1, 5, 11, 27, 55,
    49, 239, 479, 475, 223, 2947, 89, 5517, 2925, 1, 3, 5, 13, 31, 45, 11,
    255, 251, 647, 1161, 847, 1175, 1219, 19735, 1, 3, 5, 1, 13, 19, 13, 31,
    309, 165, 49, 2281, 5607, 11987, 19255, 1, 3, 7, 7, 15, 35, 51, 243, 119,
    179, 1055, 3751, 4133, 14873, 12317, 1, 3, 7, 13, 13, 47, 87, 169, 203, 27,
    449, 2755, 5407, 11857, 291, 1, 3, 3, 5, 29, 27, 1, 225, 493, 649, 1075,
    2197, 2201, 14425, 18853, 1, 3, 7, 1, 23, 21, 87, 237, 377, 575, 445, 1845,
    6689, 10945, 17517, 1, 1, 5, 5, 19, 43, 5, 177, 507, 395, 945, 2933, 1237,
    10069, 15707, 1, 1, 1, 9, 31, 61, 85, 45, 325, 915, 863, 839, 2335, 14631,
    32479, 1, 1, 3, 5, 11, 61, 47, 119, 439, 407, 203, 2841, 2205, 5335, 29721,
    1, 3, 5, 11, 9, 9, 63, 179, 315, 257, 901, 5, 4523, 11085, 23639, 1,
    1, 5, 1, 11, 9, 83, 109, 265, 601, 1457, 795, 509, 5605, 13235, 1, 3,
    3, 13, 31, 25, 59, 37, 25, 811, 657, 467, 1317, 3783, 27645, 1, 1, 1,
    9, 31, 51, 81, 255, 379, 575, 1401, 2341, 2411, 11893, 29599, 1, 1, 5, 13,
    3, 47, 79, 183, 111, 409, 1223, 1305, 1073, 9251, 28331, 1, 3, 3, 7, 31,
    9, 39, 125, 269, 999, 1427, 1845, 4427, 3825, 29289, 1, 1, 3, 3, 17, 41,
    3, 29, 9, 253, 925, 1279, 2263, 15521, 25455, 1, 1, 7, 7, 31, 31, 53,
    95, 225, 967, 893, 1315, 5683, 3311, 15259, 1, 1, 7, 3, 31, 21, 123, 145,
    117, 137, 499, 2381, 6467, 15677, 2079, 1, 1, 3, 15, 3, 15, 17, 235, 463,
    493, 1465, 1717, 6511, 5331, 10265, 1, 3, 3, 1, 25, 41, 31, 225, 115, 199,
    1831, 29, 5563, 2697, 26689, 1, 3, 7, 15, 7, 23, 29, 79, 35, 493, 997,
    2139, 3813, 9915, 16693, 1, 1, 7, 13, 13, 59, 71, 127, 41, 271, 1513, 2239,
    6739, 6351, 11331, 1, 3, 5, 1, 23, 63, 109, 225, 413, 277, 927, 1781, 843,
    5959, 16655, 1, 3, 5, 13, 9, 55, 91, 143, 401, 695, 1857, 205, 3617, 11847,
    27339, 1, 1, 3, 1, 21, 41, 5, 1, 207, 247, 1269, 3071, 8045, 8711, 3595,
    1, 3, 7, 15, 5, 23, 29, 119, 435, 961, 333, 2337, 3469, 6363, 29145, 1,
    3, 5, 5, 21, 19, 65, 177, 309, 115, 707, 1659, 941, 6825, 3595, 1, 1,
    1, 5, 29, 5, 113, 15, 13, 897, 1535, 3453, 3539, 3937, 22647, 1, 1, 3,
    9, 13, 41, 45, 11, 259, 127, 1421, 195, 4555, 11643, 30239, 1, 3, 3, 15,
    5, 17, 115, 89, 183, 729, 1655, 3599, 1443, 11799, 29777, 1, 3, 3, 15, 19,
    57, 61, 3, 53, 221, 799, 3243, 5255, 3271, 8677, 1, 3, 1, 5, 23, 45,
    103, 173, 453, 111, 1145, 891, 4989, 3195, 20129, 1, 3, 1, 13, 13, 25, 71,
    71, 125, 753, 397, 613, 1641, 2611, 1879, 1, 1, 1, 15, 23, 59, 25, 199,
    285, 161, 225, 4039, 5427, 13711, 23643, 1, 1, 7, 13, 25, 9, 119, 121, 369,
    811, 1857, 2227, 5711, 2761, 23033, 1, 1, 3, 15, 27, 43, 75, 231, 221, 869,
    603, 537, 3679, 15963, 27183, 1, 1, 5, 3, 9, 35, 33, 39, 383, 415, 1769,
    3837, 1479, 3411, 20917, 1, 1, 5, 15, 7, 47, 119, 105, 31, 79, 229, 135,
    1509, 1571, 24355, 1, 1, 5, 7, 7, 15, 99, 79, 65, 869, 1781, 2111, 2405,
    1901, 8419, 1, 1, 3, 15, 7, 59, 13, 211, 439, 543, 755, 2177, 971, 6045,
    24943, 1, 1, 3, 7, 13, 25, 89, 71, 453, 71, 1205, 1419, 971, 11139, 25075,
    1, 3, 5, 3, 7, 63, 21, 17, 179, 749, 915, 3977, 5399, 11385, 13825, 1,
    1, 5, 9, 19, 49, 77, 47, 351, 815, 1925, 559, 4503, 8095, 3115, 1, 3,
    1, 9, 13, 61, 79, 245, 509, 691, 387, 2067, 1493, 10783, 31911, 1, 3, 1,
    11, 31, 27, 117, 55, 93, 389, 1299, 573, 6883, 10449, 19779, 1, 3, 3, 7,
    15, 27, 5, 207, 215, 773, 1989, 2341, 2101, 10585, 6675, 1, 3, 3, 15, 19,
    37, 93, 127, 233, 49, 557, 1683, 7299, 5399, 21571, 1, 3, 1, 15, 15, 21,
    95, 81, 167, 113, 245, 3607, 2007, 1847, 2317, 1, 3, 3, 9, 21, 13, 1,
    203, 361, 695, 539, 3927, 4149, 249, 8425, 1, 3, 3, 11, 1, 61, 25, 159,
    215, 235, 1561, 99, 2965, 13035, 11673, 1, 3, 1, 1, 5, 27, 13, 83, 457,
    57, 995, 2163, 257, 12671, 18391, 1, 1, 5, 13, 23, 25, 69, 15, 53, 253,
    1789, 3415, 3667, 3255, 26871, 1, 1, 3, 3, 9, 13, 25, 81, 247, 483, 921,
    649, 4759, 15037, 4923, 1, 3, 5, 1, 5, 1, 111, 179, 329, 395, 1661, 2647,
    6487, 11109, 15465, 1, 1, 3, 7, 27, 27, 13, 123, 225, 181, 1205, 2703, 1753,
    2513, 1671, 1, 3, 7, 9, 23, 51, 1, 9, 233, 709, 257, 999, 5761, 3281,
    8083, 1, 1, 7, 11, 31, 33, 29, 83, 251, 1021, 1395, 447, 4071, 13257, 5821,
    1, 1, 5, 1, 11, 19, 67, 35, 371, 425, 613, 1065, 269, 3895, 19507, 1,
    3, 5, 1, 1, 53, 79, 229, 489, 373, 1195, 3221, 7425, 2731, 16607, 1, 1,
    3, 3, 3, 11, 49, 241, 269, 727, 549, 2463, 6983, 13067, 19829, 1, 3, 5,
    15, 13, 41, 53, 215, 131, 363, 595, 2777, 3929, 1305, 12725, 1, 3, 3, 1,
    5, 41, 87, 243, 485, 401, 1599, 397, 4207, 3707, 28949, 1, 1, 1, 3, 7,
    5, 31, 59, 25, 391, 1419, 2355, 953, 1179, 22605, 1, 3, 3, 5, 13, 47,
    3, 167, 25, 381, 341, 1999, 3423, 4465, 19517, 1, 1, 3, 3, 21, 55, 93,
    93, 243, 67, 1743, 139, 5783, 2261, 22411, 1, 1, 1, 15, 25, 19, 1, 247,
    325, 641, 347, 1095, 7301, 7079, 25403, 1, 3, 5, 13, 29, 53, 23, 229, 425,
    311, 1159, 2241, 105, 11165, 28737, 1, 1, 7, 9, 31, 23, 3, 191, 119, 113,
    543, 1119, 3375, 13605, 27753, 1, 1, 7, 15, 1, 49, 23, 193, 165, 869, 509,
    1017, 1045, 13709, 16293, 1, 1, 1, 13, 3, 15, 25, 239, 423, 359, 409, 1075,
    2629, 2291, 20293, 1, 1, 3, 15, 27, 35, 67, 83, 11, 1, 1129, 1917, 1475,
    14831, 13161, 1, 1, 7, 11, 27, 21, 117, 191, 321, 721, 929, 2293, 2257, 9259,
    4849, 1, 1, 1, 1, 25, 61, 21, 211, 491, 127, 1423, 2291, 5121, 14065, 14835,
    1, 1, 7, 15, 17, 15, 81, 221, 319, 1015, 1643, 665, 7429, 7829, 5369, 1,
    3, 7, 13, 31, 45, 77, 103, 79, 891, 43, 1561, 295, 3977, 17699, 1, 3,
    5, 1, 11, 19, 105, 1, 179, 699, 655, 3125, 5851, 9577, 29513, 1, 3, 7,
    13, 1, 15, 105, 239, 113, 917, 219, 1857, 801, 11703, 20955, 1, 1, 1, 9,
    3, 35, 69, 43, 133, 455, 471, 1785, 4659, 6325, 3183, 1, 1, 5, 3, 7,
    57, 127, 13, 151, 359, 135, 2445, 1795, 3257, 32305, 1, 1, 3, 9, 11, 43,
    51, 109, 323, 789, 1181, 1577, 4445, 1623, 28489, 1, 3, 7, 5, 19, 55, 71,
    65, 35, 605, 165, 1573, 1429, 7123, 1967, 1, 1, 1, 15, 15, 27, 87, 67,
    503, 833, 1841, 2639, 5629, 5511, 12393, 1, 3, 1, 11, 9, 59, 85, 59, 289,
    679, 1957, 399, 7949, 4735, 709, 1, 3, 5, 7, 3, 37, 109, 3, 33, 971,
    123, 1585, 3273, 8421, 20903, 1, 1, 1, 3, 17, 37, 99, 3, 405, 579, 755,
    1337, 3649, 8217, 11011, 1, 1, 7, 9, 25, 59, 87, 115, 237, 749, 355, 1781,
    5199, 7019, 10615, 1, 1, 3, 11, 23, 5, 105, 129, 453, 813, 1423, 2703, 6241,
    14969, 22943, 1, 1, 5, 7, 21, 41, 89, 129, 473, 139, 595, 925, 3915, 12059,
    19675, 1, 1, 5, 3, 17, 19, 83, 19, 191, 757, 1185, 1849, 3403, 779, 24773,
    1, 1, 5, 11, 13, 31, 121, 211, 357, 487, 829, 1215, 1, 15103, 10835, 1,
    1, 5, 15, 1, 15, 105, 137, 169, 295, 993, 261, 6787, 16339, 20307, 1, 1,
    5, 15, 21, 11, 53, 149, 443, 285, 371, 2541, 7041, 5745, 12127, 1, 3, 5,
    1, 9, 23, 89, 77, 337, 623, 329, 1021, 2013, 11023, 27045, 1, 1, 7, 7,
    1, 11, 35, 67, 93, 121, 1155, 1063, 4997, 9567, 24023, 1, 1, 7, 7, 3,
    33, 119, 243, 423, 615, 721, 3057, 7873, 9329, 20783, 1, 3, 3, 15, 3, 23,
    41, 121, 111, 483, 1607, 181, 895, 12923, 21707, 1, 3, 7, 5, 9, 63, 65,
    87, 235, 915, 1569, 3421, 1373, 2159, 353, 1, 1, 7, 7, 29, 3, 35, 193,
    95, 977, 1405, 23, 1135, 5047, 16429, 1, 1, 7, 3, 7, 57, 123, 111, 33,
    781, 613, 3423, 4701, 8727, 22665, 1, 1, 1, 11, 13, 43, 101, 83, 447, 503,
    1955, 2125, 4469, 14937, 24067, 1, 1, 5, 15, 7, 41, 115, 17, 335, 497, 1753,
    1131, 4623, 11483, 5181, 1, 1, 7, 9, 19, 37, 1, 89, 117, 211, 1203, 2469,
    5989, 11429, 31597, 1, 3, 3, 11, 3, 7, 125, 97, 203, 935, 533, 2607, 6075,
    12995, 9997, 1, 1, 7, 1, 27, 25, 53, 99, 243, 729, 1521, 875, 2363, 3309,
    22621, 1, 3, 3, 1, 21, 7, 79, 105, 363, 227, 9, 2445, 3021, 15177, 19029,
    1, 3, 7, 7, 13, 53, 55, 21, 137, 953, 1583, 3439, 2995, 4447, 19881, 1,
    1, 7, 11, 29, 21, 83, 195, 387, 133, 1135, 1425, 4655, 9171, 19217, 1, 3,
    5, 7, 3, 19, 45, 249, 451, 797, 693, 3511, 7213, 12851, 31915, 1, 3, 3,
    15, 17, 35, 119, 153, 493, 815, 1621, 2305, 7963, 6405, 6253, 1, 1, 3, 15,
    19, 23, 111, 223, 469, 1015, 799, 1453, 7639, 2307, 20595, 1, 1, 5, 9, 9,
    49, 33, 233, 3, 531, 1723, 845, 3585, 13993, 11955, 1, 1, 7, 7, 1, 7,
    3, 217, 191, 1, 2013, 3143, 5919, 3285, 10733, 1, 1, 3, 15, 25, 9, 93,
    127, 471, 51, 1227, 341, 3455, 11015, 21427, 1, 1, 5, 9, 23, 45, 9, 1,
    445, 927, 661, 829, 411, 13531, 30903, 1, 3, 3, 5, 21, 25, 17, 225, 43,
    209, 659, 3681, 3281, 10135, 6121, 1, 3, 1, 7, 17, 33, 103, 209, 187, 759,
    617, 2971, 3563, 12925, 23503, 1, 3, 5, 13, 21, 13, 35, 65, 507, 95, 695,
    961, 7589, 9633, 29065, 1, 3, 5, 5, 13, 17, 11, 145, 11, 115, 1449, 2361,
    2959, 6713, 15345, 1, 1, 3, 9, 21, 19, 15, 7, 303, 995, 1245, 349, 4117,
    10993, 20627, 1, 3, 1, 3, 1, 9, 21, 43, 259, 725, 1735, 1515, 3465, 10867,
    14895, 1, 1, 1, 3, 7, 25, 57, 29, 435, 663, 383, 1197, 981, 4943, 24527,
    1, 1, 3, 13, 3, 29, 43, 149, 351, 293, 1549, 3177, 6771, 7291, 23227, 1,
    1, 1, 9, 29, 53, 9, 43, 369, 763, 1269, 595, 6559, 13799, 27751, 1, 1,
    3, 3, 7, 53, 79, 167, 121, 761, 1015, 1299, 1523, 55, 4431, 1, 3, 1,
    15, 19, 9, 103, 17, 121, 621, 765, 2225, 4123, 815, 4305, 1, 3, 7, 7,
    29, 59, 43, 73, 505, 755, 617, 2113, 5605, 11887, 10211, 1, 1, 5, 15, 23,
    47, 27, 241, 287, 649, 1601, 2461, 7851, 7901, 24305, 1, 3, 1, 3, 9, 31,
    43, 103, 227, 381, 813, 3871, 2293, 5317, 4907, 1, 3, 7, 1, 29, 41, 49,
    75, 389, 799, 1283, 1823, 6907, 11715, 24101, 1, 1, 3, 9, 1, 17, 53, 61,
    133, 485, 317, 1779, 2437, 6195, 4745, 1, 3, 7, 11, 1, 55, 79, 147, 511,
    29, 495, 1145, 677, 8581, 9491, 1, 1, 1, 7, 15, 23, 51, 243, 139, 605,
    2035, 1039, 1135, 10747, 28225, 1, 3, 3, 1, 15, 5, 121, 73, 403, 861, 1587,
    2985, 2217, 1969, 10459, 1, 1, 3, 3, 15, 45, 123, 235, 85, 973, 915, 2217,
    2405, 4473, 8119, 1, 1, 3, 3, 29, 29, 9, 47, 173, 121, 861, 1081, 917,
    9757, 25923, 1, 1, 3, 7, 25, 59, 57, 35, 291, 529, 1069, 4037, 4865, 5047,
    1133, 1, 1, 5, 7, 5, 25, 49, 171, 363, 427, 1807, 1903, 6455, 12201, 12043,
    1, 1, 3, 3, 23, 13, 77, 61, 415, 307, 1237, 2785, 1133, 14337, 25755, 1,
    1, 1, 3, 3, 49, 95, 117, 409, 641, 393, 3205, 5047, 4795, 22773, 1, 3,
    7, 5, 15, 25, 39, 37, 15, 735, 1107, 2467, 8037, 6395, 26043, 1, 1, 3,
    7, 15, 51, 53, 211, 223, 165, 217, 3519, 6973, 823, 15733, 1, 1, 3, 11,
    25, 15, 57, 9, 373, 445, 369, 2199, 2793, 12279, 7413, 1, 1, 3, 1, 29,
    13, 37, 91, 429, 5, 467, 813, 2375, 10467, 10373, 1, 1, 7, 15, 1, 21,
    65, 145, 341, 839, 467, 1029, 3127, 11519, 6711, 1, 1, 3, 11, 29, 55, 115,
    65, 501, 375, 1669, 2227, 125, 8059, 15489, 1, 3, 1, 3, 7, 9, 71, 179,
    203, 1017, 107, 49, 1093, 4847, 14383, 1, 3, 7, 13, 9, 57, 75, 139, 67,
    587, 1681, 1717, 459, 7835, 317, 1, 3, 1, 1, 13, 15, 37, 123, 233, 467,
    1425, 2119, 2589, 10087, 31997, 1, 3, 7, 9, 29, 53, 119, 19, 387, 225, 1845,
    2849, 181, 1991, 10323, 1, 3, 5, 11, 1, 61, 5, 221, 389, 595, 499, 2103,
    5967, 4677, 17551, 1, 1, 7, 5, 31, 9, 63, 121, 505, 997, 939, 7, 7809,
    11337, 11825, 1, 1, 1, 7, 27, 35, 99, 145, 401, 887, 657, 1023, 6215, 15775,
    13477, 1, 3, 3, 15, 7, 39, 35, 63, 395, 621, 1551, 2061, 7817, 6159, 13765,
    1, 1, 7, 3, 13, 5, 17, 19, 469, 541, 707, 1697, 699, 5031, 4121, 1,
    3, 3, 1, 31, 7, 21, 15, 137, 151, 599, 857, 6267, 4725, 20317, 1, 1,
    7, 9, 23, 13, 59, 169, 73, 517, 1209, 2063, 1881, 849, 3263, 1, 1, 1,
    9, 3, 61, 115, 75, 161, 395, 1889, 1229, 6153, 597, 5667, 1, 1, 3, 11,
    5, 31, 37, 163, 469, 237, 91, 3531, 7197, 12673, 13741, 1, 1, 3, 1, 17,
    61, 31, 29, 3, 855, 1703, 2091, 2791, 1963, 7385, 1, 1, 1, 5, 13, 53,
    105, 239, 143, 199, 2003, 4005, 1911, 4965, 31675, 1, 3, 7, 3, 7, 37, 73,
    85, 219, 165, 887, 243, 117, 767, 5519, 1, 1, 7, 9, 21, 3, 89, 13,
    261, 835, 529, 3851, 4905, 2881, 3889, 1, 1, 7, 3, 15, 41, 21, 89, 137,
    959, 839, 4087, 1689, 11347, 17701, 1, 3, 7, 3, 15, 17, 63, 31, 493, 509,
    1079, 3223, 7649, 4377, 20291, 1, 3, 5, 5, 5, 63, 101, 83, 431, 201, 1965,
    1227, 2161, 14661, 2027, 1, 1, 7, 3, 29, 19, 81, 245, 125, 795, 181, 4017,
    4061, 12909, 30591, 1, 1, 5, 11, 19, 63, 49, 205, 485, 789, 1123, 715, 6553,
    5637, 7977, 1, 3, 3, 7, 13, 63, 113, 63, 187, 515, 725, 3583, 1699, 5165,
    21823, 1, 3, 1, 3, 27, 17, 17, 241, 205, 593, 697, 4023, 7603, 15421, 9679,
    1, 3, 1, 1, 3, 15, 39, 209, 53, 405, 601, 3315, 5487, 12163, 14741, 1,
    1, 3, 13, 31, 9, 9, 159, 187, 307, 1115, 381, 7763, 4231, 2387, 1, 1,
    7, 13, 1, 41, 17, 101, 321, 473, 515, 1959, 7589, 9323, 23947, 1, 3, 3,
    9, 21, 55, 55, 137, 115, 791, 1411, 3543, 8173, 14403, 28019, 1, 3, 3, 7,
    29, 35, 83, 119, 243, 561, 423, 2435, 7613, 1081, 29911, 1, 3, 1, 15, 13,
    21, 9, 205, 3, 901, 1305, 4015, 4045, 11685, 489, 1, 1, 5, 13, 27, 57,
    73, 173, 391, 259, 757, 3177, 3767, 5251, 12381, 1, 1, 3, 1, 3, 15, 121,
    1, 85, 795, 1465, 1247, 5703, 3399, 28519, 1, 1, 1, 7, 27, 7, 41, 147,
    277, 317, 1161, 2205, 1845, 12379, 9121, 1, 3, 3, 9, 5, 59, 107, 115, 13,
    469, 595, 3979, 7563, 521, 6407, 1, 1, 7, 9, 31, 43, 107, 107, 49, 67,
    475, 1371, 3205, 2035, 6349, 1, 3, 1, 3, 19, 33, 73, 171, 493, 473, 1963,
    2453, 2833, 6847, 9899, 1, 3, 1, 1, 31, 57, 33, 201, 431, 623, 327, 481,
    2377, 6533, 30339, 1, 1, 7, 1, 31, 11, 47, 183, 209, 661, 357, 3809, 4129,
    5465, 29141, 1, 1, 3, 3, 19, 43, 99, 45, 471, 983, 627, 2397, 753, 6735,
    24945, 1, 3, 5, 11, 3, 31, 127, 255, 175, 549, 1743, 3417, 3753, 11497, 5273,
    1, 3, 5, 7, 5, 17, 77, 99, 109, 973, 93, 1287, 1781, 6055, 6987, 1,
    1, 7, 5, 17, 31, 23, 231, 63, 315, 1119, 2175, 5807, 6497, 12991, 1, 3,
    5, 1, 25, 17, 51, 81, 253, 725, 1351, 1941, 3893, 13059, 27373, 1, 3, 3,
    7, 17, 43, 35, 151, 127, 587, 229, 2253, 4299, 10269, 169, 1, 1, 5, 11,
    15, 11, 65, 31, 263, 897, 1345, 3011, 6767, 15851, 16801, 1, 3, 3, 15, 15,
    1, 119, 235, 57, 339, 503, 2633, 1307, 14387, 28759, 1, 3, 1, 5, 5, 57,
    111, 117, 273, 703, 1363, 1579, 97, 15323, 24897, 1, 3, 5, 13, 23, 29, 43,
    171, 347, 651, 869, 3623, 1643, 14647, 16271, 1, 3, 5, 15, 11, 35, 41, 121,
    117, 67, 1649, 1201, 213, 13013, 20403, 1, 3, 5, 7, 3, 33, 61, 97, 439,
    371, 117, 1341, 6513, 11043, 10055, 1, 3, 3, 1, 25, 9, 25, 13, 121, 593,
    1879, 2487, 385, 4341, 11515, 1, 3, 1, 7, 11, 23, 65, 181, 205, 381, 1749,
    3837, 5343, 12389, 27243, 1, 3, 3, 15, 19, 9, 11, 185, 109, 49, 311, 1225,
    7445, 14459, 12631, 1, 3, 7, 7, 27, 3, 87, 179, 467, 823, 1641, 189, 3489,
    3203, 10447, 1, 3, 5, 3, 5, 15, 117, 139, 39, 497, 1137, 1193, 2281, 12945,
    1329, 1, 3, 7, 15, 21, 9, 111, 115, 461, 987, 1091, 2363, 5453, 3929, 26887,
    1, 1, 1, 11, 19, 25, 113, 65, 301, 491, 1679, 4007, 4709, 4547, 25155, 1,
    3, 1, 15, 29, 23, 87, 209, 471, 247, 633, 2533, 1077, 5079, 10311, 1, 3,
    3, 1, 27, 21, 27, 57, 69, 883, 145, 1559, 6751, 873, 28941, 1, 1, 7,
    5, 23, 63, 113, 57, 243, 133, 1159, 3837, 4781, 6029, 391, 1, 1, 1, 7,
    27, 47, 33, 211, 317, 891, 1955, 3201, 803, 1645, 26669, 1, 1, 7, 9, 17,
    5, 69, 233, 491, 489, 49, 1395, 1907, 10189, 17853, 1, 1, 7, 13, 9, 29,
    25, 169, 469, 1015, 1729, 3095, 281, 15537, 32565, 1, 1, 1, 7, 23, 63, 55,
    65, 1, 913, 343, 3749, 3085, 13557, 32121, 1, 3, 7, 13, 15, 29, 15, 141,
    113, 315, 645, 821, 5083, 12141, 1603, 1, 3, 5, 11, 19, 7, 73, 245, 139,
    923, 731, 211, 7223, 8179, 20811, 1, 3, 7, 11, 31, 21, 35, 253, 373, 889,
    1671, 1069, 3475, 1947, 16129, 1, 1, 1, 11, 17, 11, 3, 223, 169, 577, 2045,
    2591, 2593, 10911, 20657, 1, 3, 3, 5, 21, 57, 121, 185, 329, 581, 471, 1799,
    393, 1059, 19339, 1, 1, 3, 3, 17, 63, 39, 227, 447, 157, 1803, 239, 93,
    5297, 801, 1, 3, 5, 5, 23, 47, 127, 211, 415, 943, 757, 213, 5071, 5811,
    2135, 1, 3, 1, 5, 7, 63, 95, 83, 307, 241, 511, 1417, 2141, 2599, 1665,
    1, 1, 7, 1, 17, 31, 113, 53, 27, 611, 45, 1909, 6519, 5687, 23335, 1,
    1, 5, 9, 5, 43, 81, 99, 505, 739, 633, 1563, 6385, 14799, 24813, 1, 3,
    7, 13, 19, 47, 11, 87, 403, 763, 483, 3793, 7445, 4865, 13187, 1, 1, 7,
    9, 17, 49, 25, 57, 417, 253, 1901, 115, 3933, 11743, 1925, 1, 3, 5, 7,
    15, 21, 13, 143, 399, 953, 1397, 3905, 7935, 11957, 4817, 1, 1, 5, 1, 7,
    63, 49, 11, 321, 181, 545, 2035, 5339, 2727, 11623, 1, 3, 7, 1, 15, 13,
    49, 101, 499, 831, 427, 531, 4165, 7087, 14077, 1, 3, 5, 9, 13, 19, 119,
    115, 283, 1015, 1189, 2507, 2491, 13467, 10437, 1, 1, 5, 3, 11, 31, 103, 3,
    421, 717, 611, 2711, 2221, 13187, 19973, 1, 1, 1, 11, 3, 53, 61, 3, 337,
    55, 751, 3467, 7851, 3437, 31047, 1, 1, 1, 5, 1, 57, 81, 127, 425, 965,
    1633, 2193, 7061, 2239, 18383, 1, 1, 5, 15, 11, 55, 49, 31, 497, 715, 1725,
    1359, 177, 13011, 11291, 1, 1, 5, 9, 3, 11, 121, 217, 77, 627, 1857, 41,
    7613, 3471, 10591, 1, 1, 7, 11, 13, 23, 81, 253, 263, 663, 1581, 1839, 1327,
    7735, 22843, 1, 1, 7, 3, 31, 29, 97, 243, 215, 893, 1179, 953, 915, 16003,
    32685, 1, 1, 7, 3, 5, 61, 7, 35, 439, 1023, 1079, 3639, 3179, 8793, 8413,
    1, 1, 5, 13, 31, 1, 99, 199, 181, 75, 283, 1581, 1137, 2725, 27179, 1,
    3, 7, 1, 27, 35, 45, 49, 179, 403, 593, 2849, 2349, 5835, 32533, 1, 1,
    1, 1, 5, 31, 21, 153, 169, 19, 813, 3077, 2569, 12355, 3805, 1, 1, 5,
    11, 1, 15, 77, 31, 17, 827, 2005, 799, 5663, 779, 28605, 1, 1, 5, 3,
    29, 51, 3, 91, 505, 161, 2041, 2841, 269, 33, 21771, 1, 1, 3, 5, 17,
    55, 105, 233, 9, 647, 987, 3801, 1421, 8589, 23389, 1, 1, 7, 15, 27, 63,
    73, 87, 111, 233, 1231, 3631, 4355, 15843, 1227, 1, 1, 3, 15, 17, 5, 63,
    23, 55, 655, 1909, 891, 7873, 11163, 26269, 1, 1, 1, 5, 19, 7, 47, 31,
    41, 229, 1381, 773, 2183, 1687, 15761, 1, 1, 7, 3, 17, 57, 81, 115, 41,
    907, 1353, 981, 2601, 10247, 13753, 1, 3, 3, 1, 5, 13, 83, 19, 107, 935,
    1519, 795, 2035, 5649, 21125, 1, 1, 3, 9, 21, 7, 77, 229, 85, 837, 1085,
    781, 6599, 5645, 15481, 1, 3, 3, 1, 13, 23, 109, 21, 77, 223, 131, 4013,
    7507, 10463, 25621, 1, 3, 5, 11, 21, 55, 99, 195, 447, 57, 1395, 1283, 377,
    15019, 26951, 1, 3, 5, 13, 13, 35, 119, 39, 161, 609, 247, 2541, 3133, 9625,
    12129, 1, 3, 3, 15, 7, 55, 69, 169, 459, 461, 1359, 255, 4567, 7915, 16883,
    1, 1, 1, 11, 25, 41, 93, 105, 147, 893, 515, 3161, 351, 12079, 3445, 1,
    3, 3, 5, 15, 59, 93, 61, 235, 971, 1203, 2213, 3257, 16001, 20581, 1, 1,
    1, 11, 19, 5, 53, 49, 101, 653, 897, 3761, 8087, 14891, 30595, 1, 1, 3,
    7, 13, 27, 37, 29, 181, 875, 1429, 2483, 2987, 15951, 16217, 1, 3, 5, 7,
    11, 53, 69, 33, 309, 467, 1149, 3103, 3713, 9701, 16637, 1, 1, 5, 1, 31,
    63, 5, 187, 371, 895, 1365, 2671, 5899, 15493, 9685, 1, 3, 1, 5, 19, 3,
    127, 251, 39, 335, 489, 3359, 4939, 413, 521, 1, 1, 7, 11, 11, 37, 51,
    135, 191, 535, 1037, 2365, 381, 8253, 21177, 1, 1, 3, 13, 9, 23, 77, 147,
    93, 793, 1223, 2655, 3873, 6049, 19201, 1, 3, 5, 5, 15, 41, 21, 217, 149,
    965, 1173, 1779, 501, 4829, 17439, 1, 3, 5, 15, 11, 37, 63, 233, 103, 453,
    799, 571, 1991, 439, 26713, 1, 1, 7, 9, 31, 1, 11, 155, 483, 875, 1943,
    1355, 3125, 8771, 30531, 1, 3, 3, 13, 7, 31, 9, 139, 277, 203, 1937, 31,
    4519, 2127, 22557, 1, 1, 1, 3, 19, 53, 117, 225, 391, 501, 607, 1493, 3119,
    10817, 6307, 1, 1, 3, 11, 3, 19, 3, 51, 507, 245, 1563, 3987, 7461, 4851,
    23697, 1, 3, 3, 9, 1, 39, 49, 21, 39, 631, 1777, 1689, 665, 5657, 26469,
    1, 3, 7, 3, 17, 41, 73, 13, 97, 649, 1737, 653, 5093, 629, 4389, 1,
    3, 5, 1, 13, 9, 99, 149, 389, 151, 313, 2517, 77, 2157, 4713, 1, 3,
    5, 1, 15, 25, 3, 129, 111, 847, 585, 3103, 6237, 8491, 24519, 1, 1, 3,
    1, 11, 25, 71, 229, 325, 51, 537, 3393, 6561, 6871, 30609, 1, 3, 7, 15,
    5, 3, 109, 237, 469, 235, 1703, 525, 2579, 9107, 13261, 1, 3, 7, 13, 7,
    31, 65, 67, 165, 1003, 957, 371, 5857, 16307, 4069, 1, 1, 7, 15, 7, 63,
    51, 199, 63, 259, 1383, 2747, 5945, 8061, 30961, 1, 1, 1, 7, 13, 43, 67,
    143, 407, 369, 1803, 2405, 4737, 5741, 21311, 1, 3, 7, 11, 19, 25, 127, 251,
    325, 327, 169, 3745, 2115, 4591, 12383, 1, 1, 3, 13, 31, 61, 35, 209, 161,
    171, 1155, 531, 5493, 13607, 23809, 1, 1, 3, 9, 21, 39, 93, 185, 421, 355,
    2039, 259, 7309, 6747, 745, 1, 3, 5, 11, 1, 39, 43, 169, 137, 21, 1377,
    3091, 4893, 1197, 1785, 1, 1, 5, 5, 29, 59, 89, 79, 457, 463, 193, 727,
    2505, 10509, 5379, 1, 3, 3, 9, 23, 23, 59, 35, 425, 47, 1787, 1705, 3469,
    14583, 3439, 1, 1, 7, 5, 27, 5, 85, 51, 31, 277, 851, 2731, 5613, 11305,
    23727, 1, 3, 1, 15, 15, 47, 109, 211, 385, 505, 791, 253, 4123, 13393, 31515,
    1, 3, 5, 3, 25, 9, 73, 35, 203, 721, 1111, 1791, 5241, 15307, 4385, 1,
    3, 5, 1, 9, 43, 127, 127, 191, 21, 1967, 3523, 5959, 5775, 24635, 1, 3,
    7, 5, 7, 23, 75, 37, 307, 375, 1731, 2945, 763, 11723, 32033, 1, 3, 3,
    13, 31, 19, 83, 185, 457, 109, 349, 1085, 7381, 8851, 27633, 1, 3, 3, 1,
    25, 17, 79, 73, 381, 655, 409, 2043, 6803, 9041, 25733, 1, 3, 5, 7, 17,
    9, 61, 47, 429, 507, 1933, 1653, 2057, 15791, 12035, 1, 1, 7, 1, 5, 57,
    31, 83, 223, 281, 1485, 2965, 4543, 9719, 22109, 1, 1, 3, 3, 5, 11, 69,
    65, 229, 87, 1707, 2701, 985, 12261, 32209, 1, 3, 7, 15, 13, 29, 121, 1,
    475, 905, 1843, 571, 5595, 1685, 8061, 1, 3, 5, 1, 9, 37, 115, 35, 309,
    117, 17, 3537, 4491, 13863, 12611, 1, 1, 7, 15, 9, 1, 79, 135, 95, 417,
    633, 2109, 7911, 15009, 32399, 1, 3, 7, 5, 9, 41, 23, 137, 135, 429, 267,
    3787, 4643, 1221, 20257, 1, 3, 3, 1, 11, 37, 97, 107, 43, 273, 213, 1779,
    2317, 7325, 2495, 1, 1, 3, 9, 13, 57, 29, 29, 5, 45, 633, 3437, 8147,
    11819, 16397, 1, 3, 7, 5, 19, 47, 67, 39, 281, 1003, 1489, 199, 3099, 3925,
    17517, 1, 3, 3, 3, 21, 49, 91, 47, 435, 193, 683, 1845, 6237, 5573, 10647,
    1, 3, 1, 11, 3, 59, 5, 197, 393, 389, 1735, 1417, 2061, 11827, 7587, 1,
    1, 5, 15, 1, 35, 113, 81, 233, 435, 1481, 2007, 6043, 9005, 19277, 1, 3,
    1, 11, 9, 53, 109, 193, 329, 187, 35, 3693, 951, 9735, 5587, 1, 1, 1,
    5, 19, 41, 25, 225, 269, 317, 201, 2817, 971, 2873, 22637, 1, 3, 7, 1,
    9, 47, 105, 219, 69, 633, 1073, 1895, 1759, 12353, 9011, 1, 1, 7, 11, 11,
    59, 3, 163, 361, 157, 1937, 3589, 1531, 9303, 3627, 1, 1, 3, 9, 31, 15,
    23, 5, 447, 59, 1907, 197, 2775, 11303, 32553, 1, 3, 1, 13, 11, 35, 83,
    97, 225, 761, 907, 3107, 1827, 14745, 235, 1, 3, 1, 13, 13, 37, 127, 55,
    511, 861, 1769, 3999, 8135, 445, 12537, 1, 1, 7, 11, 21, 61, 111, 107, 129,
    43, 837, 3811, 3261, 15273, 24319, 1, 3, 7, 1, 17, 15, 23, 27, 227, 573,
    1739, 2611, 3977, 493, 24091, 1, 3, 3, 5, 17, 59, 17, 61, 443, 215, 1171,
    1587, 55, 14417, 30225, 1, 3, 3, 5, 5, 51, 5, 101, 147, 951, 445, 2203,
    6731, 3993, 12935, 1, 1, 3, 13, 31, 15, 117, 125, 413, 927, 1837, 2781, 2569,
    12177, 20551, 1, 1, 1, 9, 27, 13, 115, 243, 211, 123, 1631, 1277, 1217, 15271,
    26377, 1, 3, 7, 3, 27, 55, 5, 91, 255, 367, 503, 659, 1527, 15907, 4485,
    1, 3, 3, 13, 9, 11, 29, 175, 305, 593, 1209, 551, 7579, 1273, 22545, 1,
    3, 3, 13, 17, 33, 101, 83, 93, 261, 1395, 573, 6665, 10073, 26139, 1, 1,
    3, 7, 25, 35, 93, 11, 29, 941, 525, 457, 1293, 15753, 19273, 1, 3, 5,
    15, 5, 31, 101, 211, 383, 759, 1287, 429, 291, 12347, 12683, 1, 1, 7, 3,
    9, 53, 119, 81, 91, 113, 1525, 1037, 8021, 2913, 11205, 1, 1, 3, 1, 9,
    47, 59, 23, 497, 273, 453, 1063, 2523, 8929, 43, 1, 1, 3, 9, 1, 23,
    65, 147, 327, 851, 177, 4047, 3881, 2885, 21021, 1, 1, 7, 1, 19, 53, 13,
    117, 267, 803, 21, 3825, 2387, 7273, 19753, 1, 3, 5, 7, 9, 9, 107, 9,
    261, 797, 1337, 1535, 663, 6635, 3383, 1, 1, 7, 13, 13, 27, 65, 75, 375,
    805, 1079, 947, 993, 1793, 16235, 1, 3, 3, 9, 11, 17, 119, 57, 501, 105,
    1109, 3607, 1805, 8277, 24869, 1, 3, 7, 1, 1, 29, 125, 205, 453, 607, 1371,
    2169, 2723, 7381, 23411, 1, 3, 7, 13, 13, 57, 83, 149, 197, 739, 823, 1551,
    5329, 10781, 6055, 1, 3, 7, 1, 5, 33, 9, 237, 37, 733, 879, 1303, 365,
    5595, 32425, 1, 1, 1, 1, 17, 13, 117, 189, 323, 377, 1645, 2143, 4469, 9497,
    11573, 1, 3, 1, 5, 13, 47, 19, 19, 155, 681, 1909, 913, 6985, 11449, 9981,
    1, 3, 7, 11, 29, 55, 73, 113, 291, 865, 239, 209, 67, 10813, 19287, 1,
    3, 5, 9, 3, 7, 27, 119, 267, 649, 1125, 2953, 3393, 3281, 15539, 1, 3,
    3, 13, 9, 41, 25, 145, 233, 475, 873, 631, 2429, 12071, 18123, 1, 3, 1,
    3, 17, 53, 85, 71, 193, 339, 493, 2495, 4369, 7239, 21395, 1, 3, 1, 3,
    25, 51, 87, 11, 291, 659, 455, 1217, 5737, 3263, 15213, 1, 3, 1, 11, 5,
    37, 93, 51, 359, 113, 1847, 4007, 2497, 12287, 16961, 1, 3, 5, 11, 1, 27,
    107, 189, 353, 499, 395, 1717, 6313, 315, 17027, 1, 1, 3, 3, 15, 57, 105,
    107, 17, 769, 1207, 3243, 179, 305, 16425, 1, 3, 5, 1, 19, 9, 87, 5,
    303, 653, 481, 1673, 3101, 7751, 23301, 1, 1, 5, 9, 31, 39, 67, 225, 287,
    285, 1937, 413, 2101, 10941, 32071, 1, 3, 5, 5, 1, 25, 49, 61, 309, 19,
    641, 247, 7909, 13761, 14231, 1, 1, 5, 5, 13, 31, 55, 141, 223, 573, 895,
    2853, 5663, 15519, 10871, 1, 3, 3, 11, 31, 27, 61, 239, 215, 897, 857, 2591,
    6251, 14317, 10973, 1, 3, 1, 5, 29, 23, 115, 5, 449, 455, 1597, 3329, 4463,
    10653, 17079, 1, 1, 1, 1, 31, 27, 25, 43, 99, 817, 1863, 1563, 7021, 4981,
    5049, 1, 1, 7, 5, 1, 13, 95, 241, 269, 145, 737, 1479, 7469, 10069, 21421,
    1, 1, 5, 5, 21, 47, 111, 153, 411, 763, 2003, 1809, 5887, 4543, 7505, 1,
    3, 3, 7, 1, 31, 75, 131, 103, 873, 1893, 2025, 6525, 57, 19701, 1, 1,
    1, 7, 13, 3, 41, 243, 19, 1007, 365, 601, 7015, 485, 6313, 1, 3, 5,
    9, 9, 49, 27, 47, 139, 837, 43, 2843, 83, 9987, 29817, 1, 3, 7, 15,
    27, 51, 95, 133, 275, 625, 1489, 4077, 3049, 15213, 23817, 1, 1, 1, 7, 1,
    33, 101, 109, 131, 997, 101, 881, 3051, 1215, 4783, 1, 3, 7, 5, 9, 7,
    3, 223, 343, 467, 697, 3441, 4723, 4265, 29517, 1, 1, 7, 3, 17, 25, 97,
    191, 413, 211, 263, 2027, 2025, 6125, 9667, 1, 1, 7, 11, 15, 15, 57, 151,
    351, 187, 103, 1231, 567, 7829, 17941, 1, 3, 3, 7, 13, 43, 49, 235, 195,
    271, 1945, 1459, 2335, 141, 27615, 1, 1, 7, 9, 5, 49, 123, 231, 133, 781,
    697, 157, 2889, 12929, 18099, 1, 1, 3, 7, 19, 25, 127, 181, 169, 981, 1955,
    3289, 2077, 10627, 30383, 1, 3, 7, 9, 1, 53, 99, 163, 291, 701, 1367, 3941,
    3211, 6661, 29143, 1, 1, 7, 9, 7, 49, 83, 77, 9, 549, 705, 527, 5609,
    10933, 27715, 1, 3, 5, 7, 27, 15, 31, 75, 39, 823, 497, 875, 435, 14427,
    30859, 1, 1, 7, 5, 21, 49, 63, 245, 357, 653, 45, 2053, 169, 7459, 2441,
    1, 3, 1, 13, 7, 53, 109, 167, 243, 585, 1173, 1925, 601, 13899, 29, 1,
    3, 3, 15, 21, 1, 119, 33, 129, 893, 1047, 1223, 3335, 5711, 28213, 1, 1,
    5, 11, 21, 47, 97, 9, 201, 647, 1595, 3091, 3635, 15487, 21375, 1, 3, 1,
    11, 11, 17, 11, 133, 447, 925, 97, 2841, 4147, 15803, 6311, 1, 3, 1, 7,
    13, 27, 27, 201, 105, 37, 399, 1695, 4263, 6081, 21461, 1, 1, 7, 5, 7,
    25, 45, 83, 327, 283, 1799, 691, 2795, 12961, 125, 1, 1, 5, 11, 23, 23,
    11, 221, 189, 353, 887, 3087, 4937, 11335, 29193, 1, 1, 1, 9, 1, 47, 49,
    141, 391, 661, 1289, 3937, 5833, 10731, 26501, 1, 3, 7, 5, 21, 57, 89, 123,
    163, 137, 1575, 4073, 7663, 13611, 11511, 1, 1, 7, 15, 17, 27, 27, 149, 67,
    147, 1069, 353, 3323, 7763, 11549, 1, 3, 1, 3, 19, 61, 11, 19, 403, 451,
    737, 3107, 847, 13403, 25943, 1, 1, 1, 11, 11, 55, 93, 185, 241, 807, 1017,
    1707, 2745, 1923, 20451, 1, 3, 1, 5, 25, 51, 125, 87, 275, 43, 65, 3327,
    3313, 211, 24217, 1, 3, 3, 7, 23, 9, 3, 207, 367, 939, 423, 3741, 4051,
    2673, 25363, 1, 1, 1, 9, 5, 41, 47, 255, 359, 179, 365, 3037, 6377, 14293,
    21925, 1, 1, 7, 9, 31, 31, 97, 77, 479, 375, 491, 1101, 6717, 5499, 12693,
    1, 1, 3, 1, 29, 55, 75, 209, 231, 15, 49, 3233, 3627, 11307, 11413, 1,
    1, 7, 5, 13, 25, 105, 165, 15, 863, 827, 3691, 3531, 1487, 14615, 1, 3,
    3, 1, 19, 17, 51, 37, 349, 71, 31, 2545, 1151, 6187, 26835, 1, 3, 3,
    13, 21, 43, 19, 81, 307, 751, 61, 3319, 2129, 9275, 18825, 1, 3, 7, 11,
    11, 57, 117, 29, 189, 267, 31, 579, 6103, 10553, 15037, 1, 3, 3, 5, 7,
    41, 101, 149, 43, 693, 797, 2447, 2973, 11177, 5795, 1, 1, 1, 15, 25, 55,
    117, 207, 187, 211, 109, 3719, 8161, 8091, 8301, 1, 1, 5, 11, 3, 27, 17,
    61, 71, 555, 847, 1733, 6171, 6467, 2289, 1, 3, 7, 15, 31, 57, 103, 173,
    127, 513, 2003, 1483, 3495, 1951, 30371, 1, 3, 7, 1, 13, 3, 107, 63, 77,
    647, 1645, 2935, 4019, 595, 21603, 1, 3, 7, 15, 23, 23, 121, 51, 163, 321,
    2005, 3873, 41, 15907, 26881, 1, 3, 1, 11, 27, 63, 1, 173, 423, 1023, 1123,
    1683, 5395, 15017, 31877, 1, 1, 3, 1, 19, 19, 67, 121, 277, 409, 809, 4061,
    6041, 2161, 13845, 1, 3, 7, 9, 13, 1, 111, 241, 193, 463, 1585, 2787, 2651,
    4439, 27315, 1, 3, 1, 3, 5, 1, 83, 213, 425, 623, 1709, 3523, 4547, 5827,
    14637, 1, 1, 5, 9, 11, 43, 87, 31, 455, 559, 1117, 2541, 6381, 6333, 16025,
    1, 1, 3, 11, 5, 61, 69, 115, 253, 743, 719, 3745, 3739, 5511, 12207, 1,
    3, 7, 1, 31, 63, 11, 239, 217, 569, 749, 2445, 7183, 11169, 15683, 1, 1,
    1, 13, 21, 47, 11, 187, 65, 19, 217, 2205, 5435, 14333, 8095, 1, 1, 5,
    1, 15, 63, 81, 3, 291, 289, 1575, 3499, 5583, 16189, 14587, 1, 1, 1, 11,
    29, 1, 105, 195, 37, 875, 203, 3937, 3661, 1103, 569, 1, 3, 3, 7, 25,
    55, 7, 75, 185, 995, 569, 1861, 1149, 14763, 7581, 1, 1, 3, 15, 13, 3,
    107, 223, 273, 607, 1877, 3595, 3985, 1675, 9387, 1, 3, 7, 15, 15, 35, 57,
    95, 99, 5, 351, 3767, 7617, 7071, 1465, 1, 1, 7, 1, 13, 11, 19, 169,
    381, 245, 99, 1121, 7127, 6145, 625, 1, 3, 5, 15, 29, 13, 89, 81, 31,
    827, 989, 445, 6361, 7953, 5035, 1, 1, 5, 11, 5, 9, 21, 27, 321, 739,
    557, 3953, 3739, 15215, 5467, 1, 3, 5, 7, 9, 41, 111, 195, 385, 647, 829,
    2109, 3313, 2457, 10925, 1, 3, 7, 1, 9, 47, 107, 15, 367, 385, 969, 1947,
    1069, 6929, 16135, 1, 1, 5, 7, 31, 27, 19, 133, 413, 79, 1051, 173, 1033,
    9609, 17485, 1, 1, 5, 9, 23, 19, 71, 135, 203, 659, 385, 771, 2053, 6803,
    27443, 1, 1, 1, 11, 5, 11, 15, 117, 353, 949, 1873, 3925, 6831, 12609, 20761,
    1, 1, 5, 9, 13, 51, 111, 105, 75, 147, 543, 2177, 2595, 4397, 20075, 1,
    3, 7, 1, 31, 41, 17, 81, 477, 143, 1671, 131, 3861, 7937, 12421, 1, 1,
    7, 9, 29, 55, 59, 141, 407, 287, 1205, 2349, 5033, 15907, 19857, 1, 3, 7,
    11, 5, 7, 123, 183, 333, 547, 849, 3447, 2419, 6873, 16951, 1, 3, 7, 9,
    9, 31, 63, 249, 211, 63, 1577, 235, 621, 4907, 25537, 1, 1, 1, 1, 13,
    41, 1, 37, 455, 111, 1959, 1529, 4029, 10687, 17283, 1, 3, 1, 7, 9, 31,
    105, 63, 39, 409, 1151, 2631, 1491, 2837, 2489, 1, 3, 1, 5, 23, 63, 61,
    31, 229, 685, 1869, 3101, 4285, 4485, 15371, 1, 3, 1, 5, 17, 1, 9, 149,
    239, 393, 1925, 2111, 1035, 16343, 10655, 1, 1, 5, 15, 5, 35, 107, 155, 381,
    119, 1157, 3875, 2647, 3149, 141, 1, 1, 3, 1, 31, 1, 123, 163, 337, 653,
    659, 2011, 2613, 15469, 16925, 1, 1, 7, 5, 19, 51, 3, 17, 151, 705, 349,
    3015, 7791, 9899, 30235, 1, 1, 3, 11, 25, 55, 51, 201, 511, 67, 857, 1233,
    2813, 10031, 17433, 1, 1, 5, 9, 17, 3, 27, 193, 81, 765, 711, 2551, 2569,
    9081, 9997, 1, 3, 1, 9, 17, 19, 51, 41, 249, 157, 989, 597, 6059, 7699,
    14761, 1, 1, 1, 11, 7, 3, 87, 101, 171, 287, 1259, 1161, 2765, 9293, 1343,
    1, 3, 1, 11, 1, 49, 91, 179, 287, 661, 573, 255, 2873, 12153, 16505, 1,
    3, 1, 5, 27, 9, 101, 15, 173, 327, 1523, 3727, 6089, 195, 29999, 1, 3,
    3, 13, 5, 17, 31, 61, 395, 451, 743, 2337, 7295, 2411, 31039, 1, 1, 1,
    11, 17, 25, 59, 209, 255, 401, 321, 1881, 4539, 5371, 25829, 1, 3, 5, 1,
    21, 15, 57, 11, 233, 13, 1969, 1839, 7923, 11731, 32641, 1, 1, 1, 15, 15,
    11, 69, 179, 167, 867, 1901, 1113, 5613, 1481, 18975, 1, 3, 3, 11, 15, 61,
    1, 35, 111, 347, 141, 2749, 2987, 5587, 12385, 1, 1, 7, 9, 3, 41, 53,
    101, 417, 729, 403, 2043, 453, 2479, 21141, 1, 1, 3, 7, 3, 55, 47, 227,
    331, 425, 1361, 1657, 7231, 727, 4093, 1, 1, 1, 1, 9, 37, 91, 207, 493,
    463, 161, 3887, 543, 8349, 17949, 1, 3, 3, 15, 25, 9, 89, 221, 293, 997,
    969, 3239, 5147, 7173, 11277, 1, 1, 7, 3, 21, 29, 87, 7, 331, 939, 1919,
    5, 113, 2189, 21471, 1, 3, 3, 5, 11, 47, 67, 119, 5, 357, 981, 4055,
    6327, 13281, 185, 1, 3, 7, 13, 27, 55, 39, 23, 209, 721, 2043, 417, 655,
    15333, 5015, 1, 3, 7, 5, 27, 7, 95, 125, 9, 1001, 557, 2947, 553, 4991,
    11517, 1, 3, 5, 13, 3, 25, 5, 99, 355, 63, 1241, 2559, 4717, 9935, 19245,
    1, 3, 1, 13, 3, 27, 45, 141, 123, 859, 603, 2495, 3815, 4229, 17501, 1,
    3, 5, 3, 13, 53, 5, 157, 33, 493, 1611, 105, 7855, 12173, 6877, 1, 3,
    7, 7, 13, 29, 89, 19, 267, 563, 645, 2637, 6889, 8283, 25807, 1, 3, 5,
    15, 23, 55, 89, 69, 363, 333, 377, 3109, 5125, 1411, 22499, 1, 1, 5, 3,
    29, 5, 11, 151, 455, 667, 1697, 1087, 1147, 12269, 14291, 1, 3, 7, 11, 1,
    29, 21, 209, 173, 719, 1679, 1637, 6835, 8629, 27391, 1, 3, 7, 7, 23, 47,
    125, 145, 93, 425, 2039, 2665, 3219, 12491, 12731, 1, 1, 3, 9, 19, 55, 99,
    253, 39, 189, 559, 1893, 2155, 7165, 7705, 1, 1, 7, 15, 1, 63, 85, 9,
    281, 551, 1697, 1341, 6039, 3315, 26821, 1, 3, 1, 15, 19, 29, 63, 221, 201,
    671, 529, 1221, 4455, 2769, 941, 1, 3, 5, 11, 23, 17, 113, 167, 173, 17,
    1911, 1995, 6459, 1517, 19169, 1, 3, 5, 7, 23, 7, 77, 231, 157, 237, 1855,
    2771, 7871, 13523, 18143, 1, 3, 5, 5, 17, 49, 59, 175, 269, 765, 1863, 3661,
    4979, 7029, 4071, 1, 3, 3, 7, 31, 53, 9, 89, 353, 557, 1805, 3153, 4761,
    14547, 20487, 1, 1, 1, 15, 23, 45, 31, 151, 299, 745, 1899, 3113, 4177, 107,
    28863, 1, 3, 7, 3, 5, 39, 21, 145, 487, 35, 1891, 3985, 2501, 16217, 11963,
    1, 3, 1, 3, 29, 7, 15, 207, 235, 789, 1195, 253, 6443, 8921, 26009, 1,
    3, 1, 15, 23, 53, 105, 233, 71, 595, 765, 2383, 7959, 3543, 5795, 1, 3,
    1, 9, 1, 13, 95, 113, 311, 839, 1375, 4083, 7621, 4261, 6067, 1, 1, 3,
    1, 25, 41, 111, 185, 15, 779, 375, 927, 3487, 8293, 11101, 1, 3, 3, 7,
    3, 15, 79, 233, 255, 279, 171, 1659, 2131, 3659, 2381, 1, 3, 5, 15, 21,
    47, 19, 163, 481, 135, 875, 1143, 5929, 1269, 30729, 1, 3, 5, 9, 15, 33,
    45, 83, 345, 751, 2045, 3221, 3101, 8727, 3785, 1, 3, 3, 15, 29, 49, 95,
    83, 31, 433, 693, 2459, 3563, 12973, 17627, 1, 3, 3, 15, 31, 19, 97, 165,
    353, 109, 1957, 1493, 3025, 15721, 21733, 1, 1, 3, 15, 17, 55, 23, 47, 473,
    803, 1921, 2523, 6493, 1881, 2277, 1, 3, 7, 1, 11, 11, 27, 137, 259, 825,
    1093, 305, 1289, 9177, 22177, 1, 1, 3, 3, 5, 13, 85, 191, 319, 533, 1579,
    351, 987, 13229, 8727, 1, 3, 5, 11, 21, 21, 21, 107, 201, 281, 809, 2331,
    1513, 10721, 31379, 1, 3, 3, 3, 1, 21, 55, 157, 487, 303, 891, 2035, 7329,
    16203, 11811, 1, 1, 3, 15, 3, 35, 91, 157, 501, 169, 1437, 1765, 395, 4991,
    19543, 1, 3, 7, 7, 1, 43, 3, 33, 13, 393, 805, 1453, 6409, 3153, 3609,
    1, 3, 5, 9, 25, 57, 13, 189, 333, 639, 1241, 277, 3665, 16025, 12687, 1,
    1, 3, 9, 5, 31, 45, 93, 193, 469, 1325, 3109, 2115, 15903, 2211, 1, 3,
    5, 15, 9, 37, 125, 163, 75, 505, 383, 705, 2155, 15999, 29139, 1, 1, 1,
    5, 13, 33, 37, 101, 459, 943, 821, 975, 5511, 3923, 12037, 1, 3, 7, 3,
    11, 45, 77, 79, 35, 289, 499, 2285, 1179, 953, 19641, 1, 3, 5, 1, 21,
    25, 27, 13, 49, 365, 2047, 3015, 6483, 15287, 21813, 1, 1, 1, 11, 21, 5,
    113, 215, 247, 377, 625, 2481, 7681, 343, 29051, 1, 1, 3, 15, 17, 33, 85,
    143, 97, 443, 2029, 2343, 2539, 6033, 23371, 1, 1, 7, 13, 31, 31, 59, 135,
    415, 1015, 1295, 2477, 1119, 15633, 23699, 1, 3, 5, 3, 3, 23, 61, 135, 273,
    501, 1245, 427, 6981, 12135, 15081, 1, 3, 7, 1, 15, 35, 15, 127, 57, 813,
    1769, 1919, 659, 7051, 30567, 1, 3, 1, 5, 31, 11, 85, 131, 483, 33, 1311,
    1101, 3939, 8531, 21019, 1, 1, 5, 15, 17, 17, 127, 33, 111, 805, 1139, 2631,
    7015, 11253, 13141, 1, 3, 3, 9, 5, 5, 55, 223, 237, 641, 1081, 1145, 3773,
    15829, 2309, 1, 1, 7, 3, 29, 35, 97, 197, 259, 665, 1101, 2423, 1689, 12363,
    16037, 1, 1, 7, 15, 7, 59, 59, 199, 187, 83, 803, 1391, 6701, 8105, 22967,
    1, 1, 5, 9, 1, 59, 91, 253, 277, 1019, 87, 3727, 3367, 13351, 10217, 1,
    3, 3, 11, 19, 39, 35, 29, 259, 525, 555, 1683, 1885, 8957, 17431, 1, 1,
    1, 5, 3, 5, 99, 49, 19, 211, 135, 1677, 37, 14611, 25219, 1, 3, 7,
    3, 15, 31, 3, 201, 329, 755, 1013, 1917, 785, 14243, 28877, 1, 3, 5, 15,
    3, 13, 113, 41, 123, 157, 165, 125, 5147, 10085, 13903, 1, 3, 7, 11, 15,
    29, 127, 249, 51, 543, 667, 2401, 2623, 2447, 9471, 1, 3, 3, 1, 7, 55,
    127, 165, 235, 271, 1721, 2301, 1705, 8209, 10837, 1, 1, 3, 15, 31, 27, 49,
    13, 33, 797, 1533, 3325, 7257, 21, 16787, 1, 1, 3, 13, 17, 29, 43, 79,
    219, 133, 15, 2707, 5517, 15923, 18125, 1, 1, 7, 1, 21, 1, 61, 233, 123,
    599, 201, 1431, 3637, 7921, 14069, 1, 3, 3, 9, 1, 1, 113, 187, 189, 1013,
    1085, 3693, 337, 9807, 25367, 1, 3, 3, 13, 11, 13, 125, 243, 77, 671, 177,
    647, 1985, 15007, 27919, 1, 3, 7, 13, 23, 3, 85, 13, 15, 443, 673, 1,
    8119, 16227, 4497, 1, 1, 3, 3, 5, 25, 113, 125, 503, 141, 945, 631, 6413,
    2997, 28309, 1, 3, 5, 5, 15, 37, 7, 169, 423, 917, 485, 3557, 1093, 11613,
    11301, 1, 1, 7, 3, 5, 35, 45, 99, 215, 537, 1055, 3109, 7745, 15741, 30499,
    1, 3, 5, 13, 19, 21, 37, 127, 83, 489, 1809, 2479, 5875, 2559, 13593, 1,
    1, 3, 15, 11, 31, 19, 111, 245, 619, 793, 453, 2557, 16269, 2823, 1, 3,
    3, 7, 31, 1, 99, 255, 187, 277, 71, 1985, 3919, 8445, 10791, 1, 3, 1,
    11, 25, 1, 63, 5, 219, 601, 1155, 2411, 7673, 8979, 23729, 1, 1, 1, 11,
    31, 59, 11, 37, 361, 145, 879, 2655, 3591, 13615, 25559, 1, 3, 5, 7, 15,
    5, 117, 175, 417, 825, 585, 1429, 5163, 335, 32281, 1, 1, 1, 5, 27, 9,
    107, 181, 493, 651, 1317, 2059, 4155, 15039, 27693, 1, 3, 7, 3, 1, 11, 13,
    187, 173, 991, 1743, 2403, 5279, 11387, 11035, 1, 3, 1, 11, 31, 39, 87, 63,
    177, 581, 609, 3315, 4859, 9597, 29901, 1, 3, 3, 11, 15, 47, 1, 53, 91,
    39, 37, 1697, 6719, 383, 1793, 1, 3, 5, 5, 7, 19, 123, 167, 509, 585,
    1153, 1803, 987, 2633, 14177, 1, 1, 5, 7, 9, 5, 59, 137, 209, 95, 519,
    177, 5627, 7843, 23207, 1, 1, 1, 15, 7, 3, 89, 31, 125, 391, 545, 3781,
    985, 7355, 27935, 1, 3, 7, 3, 31, 11, 7, 147, 155, 421, 195, 861, 3787,
    10843, 2239, 1, 1, 3, 15, 23, 29, 71, 79, 279, 157, 853, 421, 6499, 7695,
    5527, 1, 3, 3, 11, 3, 63, 49, 199, 5, 457, 479, 3419, 6649, 14259, 17789,
    1, 1, 3, 3, 23, 7, 85, 105, 281, 929, 1487, 3797, 3487, 15959, 25859, 1,
    3, 5, 5, 23, 27, 33, 5, 283, 853, 1939, 3745, 2995, 14715, 32739, 1, 3,
    3, 5, 9, 7, 111, 53, 299, 237, 1263, 2053, 6359, 15617, 29347, 1, 3, 3,
    13, 29, 61, 55, 181, 49, 377, 729, 117, 8125, 15317, 32363, 1, 1, 7, 1,
    9, 31, 77, 107, 21, 375, 1719, 1701, 5439, 4187, 32397, 1, 1, 3, 11, 31,
    41, 101, 1, 171, 401, 1711, 3027, 161, 441, 15589, 1, 1, 3, 15, 25, 35,
    7, 85, 45, 409, 1769, 767, 2615, 1313, 7031, 1, 3, 5, 7, 29, 7, 73,
    25, 397, 767, 315, 2105, 4677, 12081, 7763, 1, 3, 5, 13, 31, 63, 87, 29,
    81, 969, 1931, 3713, 7217, 15899, 20505, 1, 1, 5, 3, 15, 31, 121, 141, 209,
    697, 941, 1565, 1363, 11919, 24479, 1, 1, 7, 15, 23, 9, 5, 179, 437, 259,
    1223, 2159, 4825, 2977, 20851, 1, 1, 1, 13, 13, 25, 33, 169, 91, 1001, 1931,
    1853, 6173, 5411, 21081, 1, 1, 1, 13, 1, 53, 109, 53, 345, 519, 771, 1673,
    6721, 3585, 6289, 1, 3, 3, 3, 27, 37, 77, 243, 207, 791, 1585, 1965, 3327,
    4719, 7121, 1, 3, 1, 7, 3, 15, 115, 175, 303, 59, 835, 3347, 6055, 4959,
    6963, 1, 3, 5, 1, 11, 5, 99, 139, 351, 709, 281, 2635, 379, 2543, 29879,
    1, 3, 1, 11, 7, 9, 117, 209, 221, 667, 491, 2833, 1113, 12289, 7947, 1,
    3, 5, 9, 17, 11, 11, 43, 475, 169, 1167, 2601, 2733, 243, 17279, 1, 1,
    5, 15, 31, 43, 7, 107, 309, 993, 635, 3779, 1041, 9997, 23049, 1, 3, 5,
    9, 21, 15, 21, 41, 451, 1021, 131, 1539, 7147, 1639, 31157, 1, 1, 3, 1,
    25, 37, 67, 91, 463, 63, 653, 4045, 1255, 3315, 10747, 1, 1, 3, 3, 29,
    3, 95, 125, 477, 845, 563, 3095, 2985, 8935, 23247, 1, 3, 5, 13, 11, 5,
    21, 193, 121, 857, 997, 3487, 4613, 12231, 7819, 1, 1, 3, 15, 27, 1, 65,
    219, 241, 99, 1193, 3157, 7641, 10327, 25241, 1, 3, 7, 1, 3, 25, 61, 191,
    501, 219, 1863, 4039, 5879, 11203, 10581, 1, 1, 5, 3, 23, 39, 81, 37, 477,
    969, 1, 1161, 7171, 3595, 375, 1, 3, 3, 3, 21, 17, 99, 101, 165, 849,
    607, 1863, 6675, 13557, 3349, 1, 3, 5, 15, 9, 1, 125, 93, 211, 971, 1275,
    545, 3625, 1503, 10735, 1, 3, 3, 7, 19, 53, 1, 169, 453, 227, 425, 2831,
    6751, 11693, 20483, 1, 1, 1, 3, 9, 19, 121, 203, 55, 485, 37, 3977, 2193,
    9819, 4635, 1, 3, 5, 15, 17, 35, 121, 207, 233, 149, 1607, 3599, 1013, 2295,
    9113, 1, 3, 3, 13, 29, 17, 39, 85, 47, 477, 1967, 701, 1063, 3521, 23583,
    1, 3, 3, 3, 23, 57, 69, 49, 55, 81, 1195, 347, 3869, 4843, 97, 1,
    3, 3, 1, 9, 19, 31, 199, 173, 5, 1557, 2669, 5471, 7203, 27289, 1, 3,
    3, 3, 3, 1, 121, 195, 193, 359, 1269, 973, 3443, 1669, 31895, 1, 1, 3,
    7, 3, 43, 39, 77, 149, 111, 425, 1567, 1289, 13443, 30175, 1, 3, 3, 5,
    15, 55, 67, 209, 167, 439, 825, 3165, 6537, 10291, 2561, 1, 1, 5, 7, 1,
    27, 49, 67, 123, 905, 759, 1471, 4379, 8211, 1829, 1, 1, 7, 13, 23, 7,
    99, 169, 349, 889, 1671, 3039, 6757, 7071, 20707, 1, 3, 3, 5, 21, 59, 103,
    167, 69, 77, 155, 301, 6647, 13487, 19241, 1, 1, 7, 9, 5, 53, 19, 17,
    239, 691, 1079, 3485, 4941, 1769, 6953, 1, 3, 5, 13, 15, 37, 87, 137, 205,
    743, 965, 3911, 1421, 3003, 26639, 1, 1, 5, 7, 31, 17, 49, 151, 159, 323,
    1393, 1677, 2335, 289, 30059, 1, 1, 7, 11, 25, 37, 93, 221, 441, 329, 421,
    903, 2803, 11455, 20521, 1, 3, 5, 3, 11, 1, 127, 231, 451, 333, 1501, 1353,
    1741, 7149, 17527, 1, 1, 7, 9, 25, 33, 101, 255, 69, 693, 1579, 2307, 6071,
    6711, 20071, 1, 3, 5, 15, 29, 61, 39, 31, 193, 573, 1151, 2237, 125, 7851,
    29569, 1, 3, 5, 15, 25, 15, 93, 93, 309, 765, 23, 2111, 7001, 3885, 18391,
    1, 1, 1, 5, 29, 9, 119, 165, 127, 847, 753, 4089, 5739, 10385, 28691, 1,
    1, 1, 7, 5, 23, 41, 39, 429, 851, 1221, 3817, 8049, 14547, 9277, 1, 3,
    7, 1, 7, 23, 105, 231, 241, 49, 1083, 3903, 1469, 11055, 27949, 1, 1, 7,
    15, 9, 11, 127, 83, 425, 671, 657, 2431, 1003, 2997, 5593, 1, 3, 1, 13,
    15, 35, 73, 193, 155, 183, 2033, 2385, 7979, 8551, 2507, 1, 3, 5, 9, 29,
    43, 59, 17, 227, 159, 1839, 4047, 1667, 2541, 30517, 1, 3, 7, 9, 31, 45,
    109, 243, 163, 871, 951, 2463, 5573, 8415, 16857, 1, 3, 7, 7, 11, 57, 93,
    243, 227, 863, 483, 2371, 6781, 6811, 23423, 1, 3, 1, 1, 13, 9, 113, 3,
    207, 735, 1021, 1933, 6635, 13609, 19651, 1, 1, 7, 9, 5, 33, 33, 159, 273,
    291, 159, 1693, 217, 12487, 21853, 1, 3, 1, 13, 27, 51, 65, 117, 485, 471,
    29, 3929, 4509, 13577, 6745, 1, 3, 3, 13, 5, 29, 23, 81, 353, 727, 1437,
    3239, 717, 13857, 18881, 1, 3, 1, 1, 11, 41, 97, 73, 271, 847, 471, 2857,
    691, 10951, 31465, 1, 1, 1, 9, 11, 59, 3, 71, 235, 715, 1349, 199, 2853,
    13641, 5025, 1, 3, 1, 9, 23, 7, 23, 49, 31, 145, 533, 2625, 207, 3661,
    25215, 1, 3, 5, 15, 17, 17, 53, 129, 105, 285, 1423, 3985, 8015, 3565, 24495,
    1, 1, 1, 13, 7, 29, 93, 123, 167, 845, 69, 2297, 543, 9165, 4029, 1,
    3, 7, 15, 19, 57, 71, 99, 95, 165, 1875, 4011, 4779, 4057, 16331, 1, 1,
    5, 11, 19, 43, 45, 83, 383, 111, 1859, 2767, 1469, 3687, 18343, 1, 1, 5,
    1, 11, 7, 63, 51, 487, 609, 1619, 3399, 1, 7253, 24325, 1, 3, 3, 7,
    29, 27, 83, 61, 353, 913, 1359, 689, 7741, 3357, 7731, 1, 1, 1, 7, 31,
    9, 5, 221, 177, 379, 1953, 3389, 3861, 10265, 1347, 1, 3, 5, 13, 7, 13,
    57, 9, 233, 601, 719, 1855, 6481, 9987, 16463, 1, 1, 3, 1, 15, 27, 67,
    211, 289, 969, 1719, 2329, 3665, 7133, 24645, 1, 1, 3, 9, 21, 37, 63, 11,
    19, 797, 1591, 2037, 7731, 12533, 2799, 1, 3, 5, 9, 15, 37, 1, 123, 209,
    321, 737, 837, 561, 2631, 18547, 1, 3, 1, 1, 13, 33, 27, 119, 407, 675,
    903, 2229, 1963, 3857, 5795, 1, 1, 5, 5, 9, 31, 25, 115, 471, 353, 113,
    3297, 87, 9413, 25209, 1, 3, 5, 7, 23, 27, 29, 95, 387, 747, 155, 3991,
    3505, 975, 6371, 1, 1, 5, 13, 15, 45, 3, 213, 299, 775, 525, 2639, 491,
    12039, 20295, 1, 1, 7, 15, 5, 47, 59, 131, 165, 93, 583, 3823, 7781, 16339,
    16523, 1, 3, 5, 3, 25, 61, 23, 75, 343, 15, 347, 259, 4621, 8275, 10323,
    1, 3, 3, 13, 7, 25, 1, 153, 199, 225, 1217, 161, 1185, 10775, 6709, 1,
    1, 1, 1, 1, 49, 27, 67, 411, 425, 1385, 3921, 6373, 14581, 25159, 1, 1,
    1, 11, 5, 59, 125, 239, 391, 823, 969, 3287, 7257, 5405, 15, 1, 1, 5,
    1, 1, 17, 109, 145, 289, 601, 1539, 807, 1123, 14541, 15885, 1, 1, 3, 9,
    23, 29, 119, 79, 253, 921, 1935, 4047, 7639, 10419, 26597, 1, 1, 5, 11, 27,
    53, 63, 123, 85, 121, 481, 3581, 4545, 7275, 981, 1, 3, 3, 1, 27, 5,
    43, 247, 299, 411, 299, 2545, 4403, 9903, 16161, 1, 3, 1, 11, 29, 21, 83,
    37, 425, 741, 899, 3643, 6641, 5241, 3627, 1, 1, 7, 9, 11, 23, 43, 191,
    225, 101, 1423, 927, 1303, 15417, 25553, 1, 3, 1, 1, 23, 47, 103, 177, 437,
    113, 295, 699, 1225, 8259, 19469, 1, 1, 7, 3, 13, 61, 119, 231, 33, 217,
    1419, 989, 4413, 9171, 1199, 1, 1, 1, 1, 5, 13, 87, 185, 69, 471, 1665,
    2201, 5889, 7931, 2913, 1, 1, 1, 15, 17, 7, 111, 27, 91, 127, 301, 3641,
    561, 6697, 16767, 1, 3, 3, 9, 11, 25, 127, 139, 355, 475, 821, 843, 493,
    2713, 16877, 1, 3, 5, 7, 27, 19, 51, 127, 211, 869, 339, 2469, 1515, 9007,
    28807, 1, 1, 3, 7, 15, 23, 79, 49, 185, 465, 1165, 1103, 5975, 13867, 30039,
    1, 3, 1, 5, 27, 41, 49, 195, 23, 441, 1225, 3861, 6661, 7261, 25415, 1,
    1, 3, 3, 27, 41, 57, 139, 87, 403, 1351, 2063, 5445, 4559, 7181, 1, 1,
    3, 15, 7, 35, 43, 177, 63, 1021, 1157, 3831, 1515, 8117, 16567, 1, 3, 7,
    9, 5, 47, 59, 221, 415, 541, 857, 257, 6961, 16349, 28975, 1, 3, 5, 9,
    13, 55, 55, 63, 7, 817, 693, 1183, 7417, 7087, 31173, 1, 3, 5, 9, 1,
    29, 17, 15, 417, 559, 155, 495, 6269, 11163, 15073, 1, 1, 5, 1, 29, 59,
    49, 253, 489, 657, 1723, 1969, 471, 10821, 3527, 1, 1, 1, 5, 29, 33, 121,
    9, 73, 33, 89, 3419, 6491, 5361, 31587, 1, 3, 3, 5, 1, 49, 121, 25,
    481, 813, 607, 757, 5493, 4353, 14355, 1, 1, 1, 1, 21, 45, 61, 101, 357,
    875, 1381, 1731, 6505, 12891, 19595, 54305, 1, 3, 7, 7, 19, 55, 99, 131, 309,
    303, 1575, 3241, 6799, 6543, 26973, 46843, 1, 1, 3, 3, 27, 11, 63, 237, 13,
    949, 1359, 1563, 5501, 5293, 923, 3413, 1, 1, 3, 7, 13, 55, 117, 143, 225,
    161, 805, 3259, 4113, 8457, 461, 55507, 1, 1, 1, 15, 15, 57, 127, 249, 409,
    885, 587, 285, 7087, 11613, 725, 61955, 1, 1, 3, 9, 21, 5, 127, 179, 193,
    683, 2045, 2555, 6707, 63, 815, 57953, 1, 3, 7, 7, 25, 45, 49, 37, 289,
    431, 719, 3071, 7343, 1377, 18515, 33777, 1, 3, 3, 7, 19, 5, 127, 29, 385,
    895, 1951, 3817, 3277, 7677, 19781, 31181, 1, 3, 3, 9, 19, 25, 105, 123, 445,
    923, 801, 455, 955, 5529, 29133, 47531, 1, 1, 3, 11, 1, 15, 51, 5, 27,
    335, 523, 2859, 5605, 15197, 14669, 29623, 1, 1, 3, 1, 11, 53, 97, 229, 477,
    991, 749, 607, 6833, 6817, 2397, 31543, 1, 3, 3, 9, 9, 45, 123, 201, 129,
    587, 1373, 3733, 2331, 9741, 29441, 24711, 1, 1, 7, 9, 1, 53, 29, 99, 475,
    227, 1955, 351, 2583, 2335, 1821, 21105, 1, 1, 7, 7, 13, 7, 121, 121, 163,
    325, 13, 779, 4173, 7285, 26205, 19693, 1, 1, 3, 13, 17, 23, 23, 167, 131,
    821, 933, 1919, 853, 7525, 8195, 7357, 1, 1, 5, 9, 21, 29, 97, 105, 85,
    865, 459, 1405, 5767, 8379, 23397, 35269, 1, 3, 3, 15, 7, 41, 125, 107, 507,
    323, 149, 3475, 1149, 8811, 8295, 20543, 1, 1, 5, 11, 13, 35, 41, 249, 195,
    603, 873, 3825, 1679, 11727, 13839, 22241, 1, 3, 5, 3, 13, 15, 19, 113, 141,
    7, 627, 1285, 6701, 15921, 4235, 30879, 1, 1, 7, 9, 15, 57, 65, 239, 49,
    657, 673, 4039, 5493, 2487, 1807, 14341, 1, 1, 1, 13, 25, 47, 19, 191, 177,
    163, 1721, 3473, 6667, 10017, 19863, 43803, 1, 3, 5, 11, 15, 39, 33, 95, 353,
    121, 503, 3025, 4773, 3853, 14263, 61149, 1, 1, 5, 3, 1, 57, 7, 105, 363,
    797, 635, 23, 1795, 13501, 45, 22081, 1, 3, 7, 15, 19, 21, 9, 237, 249,
    641, 1599, 3623, 2941, 12917, 5511, 18017, 1, 1, 5, 9, 17, 57, 81, 165, 315,
    985, 1965, 3571, 2693, 11591, 13675, 36739, 1, 1, 7, 15, 5, 3, 11, 247, 79,
    707, 1601, 2301, 7281, 4871, 26735, 14277, 1, 1, 5, 7, 17, 27, 101, 211, 507,
    95, 1333, 2919, 1251, 3905, 1897, 12791, 1, 3, 5, 15, 29, 15, 119, 3, 181,
    621, 349, 2509, 295, 15719, 1593, 27333, 1, 1, 7, 9, 9, 29, 75, 245, 353,
    147, 1197, 2571, 7033, 15903, 28319, 7733, 1, 1, 7, 11, 19, 23, 53, 41, 377,
    673, 1843, 1283, 1343, 2089, 12295, 33189, 1, 1, 1, 9, 17, 21, 17, 251, 399,
    531, 2007, 3449, 265, 289, 15937, 19571, 1, 1, 5, 15, 15, 53, 21, 141, 387,
    885, 1409, 2883, 2101, 4741, 597, 23435, 1, 3, 1, 7, 27, 63, 33, 157, 331,
    921, 1097, 3963, 3275, 14909, 2359, 12327, 1, 1, 3, 11, 15, 7, 121, 235, 219,
    181, 1305, 3877, 2233, 4921, 31409, 28211, 1, 3, 3, 7, 23, 25, 67, 147, 211,
    757, 1903, 3077, 3931, 11885, 3053, 45709, 1, 1, 1, 5, 29, 21, 121, 115, 231,
    957, 203, 689, 5521, 2467, 21489, 10057, 1, 1, 5, 9, 15, 17, 11, 177, 319,
    547, 801, 3899, 5919, 8785, 12019, 2535, 1, 3, 1, 3, 21, 51, 83, 121, 317,
    715, 467, 3587, 383, 3519, 26731, 64151, 1, 3, 3, 13, 31, 47, 41, 247, 211,
    333, 691, 2679, 4599, 2479, 27687, 45793, 1, 1, 1, 11, 31, 9, 41, 241, 439,
    391, 949, 2957, 5105, 5073, 7607, 4809, 1, 1, 1, 9, 5, 57, 11, 167, 193,
    1019, 533, 2559, 3899, 15199, 13723, 1909, 1, 3, 3, 3, 5, 17, 5, 21, 445,
    857, 2017, 2759, 5011, 8415, 881, 15747, 1, 1, 1, 1, 1, 25, 31, 61, 407,
    71, 263, 681, 5325, 13747, 10833, 12191, 1, 3, 3, 9, 27, 3, 73, 145, 5,
    851, 1519, 2809, 5857, 2327, 32659, 11145, 1, 3, 3, 5, 21, 3, 47, 11, 17,
    1023, 621, 3527, 613, 5607, 19377, 49671, 1, 3, 1, 11, 5, 5, 57, 39, 221,
    847, 735, 3951, 6661, 13959, 16735, 26471, 1, 3, 1, 11, 3, 31, 15, 121, 31,
    689, 151, 849, 2859, 14903, 6065, 9203, 1, 3, 3, 9, 5, 63, 27, 51, 379,
    657, 1381, 67, 2733, 7673, 13217, 14265, 1, 1, 7, 15, 27, 63, 21, 25, 315,
    101, 851, 2585, 4423, 7857, 30561, 60301, 1, 3, 3, 11, 21, 51, 9, 39, 123,
    763, 1777, 3427, 5071, 7905, 1017, 15373, 1, 3, 1, 7, 25, 59, 3, 223, 71,
    33, 731, 2303, 7153, 12847, 9707, 50871, 1, 1, 5, 11, 31, 61, 13, 155, 467,
    501, 371, 1447, 7925, 13135, 27629, 45097, 1, 1, 1, 1, 13, 25, 35, 153, 333,
    9, 1609, 539, 5029, 2059, 3547, 55407, 1, 1, 7, 9, 21, 55, 101, 199, 279,
    77, 1337, 3503, 2365, 4969, 2411, 16853, 1, 1, 7, 11, 29, 9, 111, 63, 435,
    445, 1711, 3981, 6517, 14593, 29433, 31027, 1, 1, 7, 1, 15, 57, 43, 137, 189,
    83, 187, 417, 3425, 14653, 17805, 57685, 1, 1, 5, 3, 27, 23, 71, 65, 399,
    605, 421, 463, 2019, 10707, 26201, 23573, 1, 1, 3, 15, 17, 57, 119, 125, 365,
    681, 1967, 241, 7647, 13317, 23661, 55683, 1, 1, 7, 1, 7, 63, 91, 161, 45,
    533, 1833, 2465, 5081, 6341, 16713, 34685, 1, 3, 1, 9, 23, 9, 43, 157, 307,
    521, 1611, 3851, 6943, 14939, 13833, 20099, 1, 1, 5, 3, 27, 13, 35, 131, 129,
    257, 1015, 1849, 6645, 11567, 13385, 30943, 1, 1, 5, 1, 21, 49, 101, 77, 301,
    541, 481, 2903, 8121, 2689, 21541, 25337, 1, 1, 5, 11, 1, 13, 125, 209, 327,
    245, 1055, 1097, 4931, 15721, 8193, 19923, 1, 1, 1, 11, 17, 31, 85, 159, 405,
    287, 1083, 1679, 6227, 305, 9549, 27303, 1, 1, 1, 13, 7, 45, 125, 181, 219,
    811, 1471, 999, 93, 12845, 4597, 60641, 1, 3, 5, 7, 29, 23, 109, 37, 367,
    185, 1467, 1871, 6349, 8563, 8743, 30277, 1, 1, 1, 15, 19, 23, 75, 93, 191,
    993, 1111, 1531, 2105, 8869, 27217, 16609, 1, 3, 1, 15, 31, 29, 23, 145, 467,
    465, 637, 3169, 889, 9225, 17917, 8379, 1, 3, 5, 1, 1, 33, 7, 209, 99,
    753, 113, 2945, 345, 14091, 13169, 4799, 1, 3, 3, 11, 21, 5, 9, 97, 347,
    537, 1287, 1401, 815, 9289, 17259, 11755, 1, 1, 5, 1, 7, 9, 21, 87, 495,
    685, 1675, 1909, 4215, 1589, 18229, 2253, 1, 1, 1, 3, 7, 29, 121, 67, 383,
    351, 1555, 3091, 3677, 3489, 30241, 55309, 1, 1, 7, 11, 21, 39, 33, 201, 195,
    601, 1235, 3499, 1657, 4495, 26501, 49783, 1, 1, 5, 1, 15, 37, 91, 169, 65,
    471, 1409, 3017, 1071, 15331, 27085, 22837, 1, 1, 5, 13, 23, 45, 115, 153, 27,
    773, 637, 2673, 79, 4275, 21133, 38509, 1, 3, 1, 13, 17, 53, 49, 55, 439,
    255, 383, 1057, 4995, 3853, 29839, 2529, 1, 3, 5, 9, 17, 29, 73, 205, 1,
    685, 991, 3563, 4281, 2341, 27111, 36609, 1, 3, 5, 9, 19, 25, 65, 167, 425,
    289, 963, 1653, 131, 4599, 4615, 57653, 1, 1, 1, 11, 19, 57, 93, 239, 375,
    739, 1101, 881, 7391, 921, 11493, 50417, 1, 3, 5, 15, 7, 33, 5, 59, 381,
    123, 33, 1903, 2639, 12073, 511, 659, 1, 1, 3, 1, 23, 1, 77, 55, 455,
    687, 1825, 1355, 2997, 615, 123, 17611, 1, 1, 7, 13, 25, 61, 119, 101, 397,
    645, 485, 3361, 899, 5103, 3307, 9765, 1, 3, 1, 3, 25, 59, 27, 245, 3,
    915, 1001, 977, 7913, 4667, 24845, 37183, 1, 1, 7, 15, 19, 21, 1, 233, 175,
    347, 1335, 2757, 1615, 8381, 10611, 32409, 1, 1, 7, 15, 23, 33, 7, 51, 235,
    735, 615, 3305, 4555, 15079, 21309, 55397, 1, 3, 1, 3, 19, 49, 59, 213, 155,
    23, 239, 753, 1473, 6869, 19993, 14383, 1, 1, 5, 9, 17, 37, 23, 163, 45,
    409, 1103, 289, 4707, 12657, 26033, 27547, 1, 3, 7, 9, 23, 49, 83, 63, 79,
    643, 107, 3041, 1921, 10343, 19179, 4961, 1, 1, 7, 7, 31, 7, 81, 145, 281,
    751, 867, 535, 6593, 7255, 13785, 62137, 1, 1, 7, 1, 13, 55, 59, 203, 329,
    421, 483, 2931, 521, 3013, 1077, 3405, 1, 3, 5, 1, 15, 13, 21, 205, 187,
    491, 887, 893, 3917, 6989, 23569, 48729, 1, 1, 3, 11, 15, 35, 63, 109, 157,
    643, 961, 3713, 1459, 8585, 6113, 7339, 1, 3, 7, 9, 7, 53, 57, 251, 203,
    701, 2041, 73, 7637, 12745, 8003, 45849, 1, 3, 5, 1, 23, 27, 109, 211, 273,
    1013, 19, 2499, 377, 5185, 25261, 8997, 1, 3, 7, 15, 3, 35, 41, 85, 391,
    409, 1945, 25, 6069, 3499, 10879, 38239, 1, 3, 1, 3, 3, 37, 65, 229, 441,
    675, 909, 3887, 7347, 3221, 1935, 65147, 1, 3, 5, 13, 13, 29, 119, 29, 277,
    303, 685, 1921, 4863, 12483, 9303, 59355, 1, 1, 1, 9, 21, 43, 115, 253, 349,
    655, 779, 1965, 4831, 6491, 16051, 6975, 1, 3, 3, 7, 1, 9, 55, 253, 21,
    655, 133, 3777, 4239, 14447, 7221, 59819, 1, 1, 7, 3, 19, 49, 11, 93, 39,
    149, 683, 3295, 6519, 12187, 2231, 39829, 1, 3, 7, 5, 23, 9, 101, 197, 3,
    873, 1459, 747, 6939, 5629, 27305, 32235, 1, 1, 5, 7, 13, 9, 31, 251, 481,
    877, 773, 993, 4431, 12081, 15987, 27081, 1, 1, 1, 1, 9, 49, 13, 89, 39,
    797, 815, 319, 5917, 621, 25867, 46433, 1, 3, 1, 7, 23, 27, 83, 123, 83,
    177, 1001, 995, 2765, 6401, 15593, 20205, 1, 1, 5, 13, 25, 9, 59, 123, 141,
    737, 1111, 1883, 2647, 733, 3551, 44453, 1, 3, 1, 5, 7, 49, 25, 177, 297,
    87, 1039, 1917, 3167, 11025, 22959, 63929, 1, 1, 1, 3, 17, 57, 103, 99, 127,
    579, 903, 2835, 607, 9723, 22397, 36621, 1, 1, 3, 15, 13, 47, 77, 213, 383,
    371, 887, 281, 6171, 10383, 12157, 57899, 1, 3, 1, 5, 5, 15, 65, 119, 303,
    265, 783, 3075, 7893, 441, 22065, 52157, 1, 3, 5, 15, 7, 49, 105, 145, 301,
    57, 1949, 3073, 435, 1171, 27691, 34821, 1, 3, 1, 11, 5, 31, 33, 159, 319,
    437, 453, 1005, 3335, 5895, 15407, 159, 1, 3, 3, 9, 31, 15, 69, 129, 221,
    991, 1879, 1251, 5303, 6677, 15823, 46319, 1, 3, 7, 11, 1, 47, 49, 13, 401,
    755, 1703, 2021, 5195, 9489, 9191, 30427, 1, 1, 7, 9, 7, 11, 25, 147, 471,
    31, 489, 3477, 3025, 4011, 7733, 22091, 1, 1, 5, 9, 7, 7, 99, 23, 397,
    67, 2027, 3885, 3269, 15385, 24367, 1715, 1, 1, 5, 1, 7, 45, 83, 159, 501,
    561, 993, 1495, 4415, 2559, 27, 60825, 1, 3, 1, 7, 7, 43, 99, 159, 117,
    453, 1841, 1807, 1881, 12513, 16413, 37993, 1, 3, 1, 13, 15, 37, 53, 173, 279,
    415, 535, 2553, 3995, 8245, 4507, 19575, 1, 1, 7, 9, 25, 7, 79, 25, 105,
    525, 1179, 1793, 4899, 10253, 22655, 1419, 1, 1, 5, 11, 11, 35, 77, 139, 449,
    879, 619, 1645, 3309, 37, 10607, 43757, 1, 1, 1, 13, 17, 17, 7, 69, 389,
    733, 775, 791, 5451, 15737, 9043, 16573, 1, 1, 7, 5, 15, 57, 81, 19, 307,
    207, 241, 449, 7745, 521, 16975, 11907, 1, 1, 1, 5, 25, 1, 55, 229, 123,
    809, 1673, 3461, 7729, 8615, 8755, 35929, 1, 3, 3, 1, 23, 7, 19, 235, 375,
    79, 899, 21, 7681, 7169, 13057, 1379, 1, 3, 3, 7, 29, 49, 93, 217, 409,
    263, 225, 2333, 1621, 14741, 4933, 58263, 1, 3, 1, 13, 11, 35, 19, 55, 71,
    937, 551, 1693, 3843, 7411, 29501, 31525, 1, 1, 5, 13, 17, 17, 105, 31, 181,
    915, 321, 3161, 5247, 13317, 23595, 21783, 1, 3, 5, 15, 31, 19, 85, 71, 55,
    933, 1425, 2419, 2891, 15813, 18209, 30347, 1, 1, 7, 9, 1, 45, 31, 1, 193,
    445, 1293, 2563, 5837, 6113, 5741, 12245, 1, 3, 5, 9, 25, 25, 7, 155, 267,
    65, 2015, 2021, 6331, 6973, 1303, 14833, 1, 1, 5, 11, 21, 31, 87, 21, 509,
    555, 429, 1405, 4417, 1891, 15679, 3819, 1, 3, 7, 3, 19, 49, 53, 251, 423,
    949, 971, 425, 1589, 5257, 19021, 16817, 1, 1, 5, 7, 1, 27, 71, 185, 357,
    1009, 897, 491, 6433, 6717, 23445, 29097, 1, 3, 7, 15, 9, 39, 87, 25, 149,
    291, 1249, 3987, 7441, 11225, 18051, 17747, 1, 1, 7, 1, 13, 61, 13, 141, 39,
    317, 579, 2181, 6735, 14749, 25997, 16025, 1, 1, 7, 7, 27, 19, 127, 231, 13,
    7, 1707, 87, 7379, 8171, 27435, 47911, 1, 1, 1, 15, 21, 33, 33, 85, 205,
    321, 785, 4051, 2503, 15589, 10881, 63103, 1, 1, 1, 3, 15, 11, 31, 105, 185,
    113, 293, 3279, 4867, 9249, 14403, 24951, 1, 3, 5, 13, 7, 47, 105, 253, 117,
    577, 2019, 2089, 1357, 5299, 27961, 36675, 1, 1, 1, 7, 31, 33, 117, 51, 283,
    453, 1657, 1343, 6491, 649, 1029, 44809, 1, 1, 1, 3, 3, 45, 121, 155, 191,
    607, 1087, 3291, 8171, 3757, 14247, 49647, 1, 3, 1, 3, 7, 17, 109, 163, 87,
    63, 573, 3127, 3361, 6733, 26729, 44427, 1, 1, 1, 5, 13, 23, 29, 173, 487,
    345, 351, 3401, 4611, 5591, 6209, 58537, 1, 3, 1, 5, 23, 49, 31, 51, 157,
    623, 1103, 681, 6645, 2147, 1715, 42253, 1, 1, 7, 9, 7, 61, 85, 129, 309,
    701, 1139, 3211, 4943, 8365, 20727, 51025, 1, 1, 3, 11, 29, 47, 119, 181, 109,
    403, 1459, 39, 609, 7405, 25651, 61395, 1, 3, 3, 7, 5, 55, 65, 155, 273,
    177, 1879, 3901, 3219, 8699, 10445, 40141, 1, 3, 7, 15, 3, 11, 45, 85, 473,
    1013, 1725, 155, 3369, 7345, 1475, 28781, 1, 1, 1, 11, 13, 61, 31, 217, 111,
    719, 161, 1053, 1451, 10437, 28909, 1173, 1, 1, 3, 11, 9, 21, 119, 119, 355,
    563, 855, 853, 4243, 5201, 2521, 41389, 1, 1, 5, 15, 9, 5, 15, 79, 489,
    499, 1065, 2073, 7567, 5385, 9329, 17643, 1, 3, 3, 7, 15, 53, 61, 225, 381,
    217, 163, 4005, 7269, 4481, 23697, 46055, 1, 3, 3, 13, 1, 55, 77, 95, 345,
    113, 1359, 539, 6979, 5459, 9551, 45035, 1, 1, 5, 3, 5, 45, 93, 147, 387,
    165, 1529, 1243, 7639, 5531, 22381, 63517, 1, 1, 3, 1, 9, 27, 109, 161, 71,
    547, 259, 1399, 5815, 1569, 26627, 63133, 1, 1, 3, 3, 29, 37, 21, 205, 49,
    863, 707, 307, 573, 3167, 17595, 63485, 1, 1, 5, 1, 17, 15, 95, 21, 111,
    991, 657, 3865, 8091, 7589, 30487, 63229, 1, 1, 1, 7, 29, 11, 65, 201, 357,
    269, 281, 1329, 6359, 7875, 23561, 44489, 1, 1, 7, 7, 27, 29, 1, 15, 475,
    393, 1917, 3605, 4463, 7809, 16529, 64599, 1, 3, 5, 13, 29, 15, 11, 255, 315,
    209, 895, 2813, 2263, 7095, 1447, 55307, 1, 3, 1, 15, 17, 11, 73, 57, 13,
    529, 35, 1065, 81, 13801, 19531, 27249, 1, 3, 1, 11, 19, 15, 117, 235, 219,
    109, 1885, 4005, 3565, 2591, 29233, 47111, 1, 3, 3, 11, 21, 35, 27, 227, 393,
    57, 1637, 537, 2463, 4483, 32153, 22035, 1, 1, 7, 5, 13, 9, 79, 147, 341,
    1007, 1093, 3837, 5581, 3363, 10637, 60109, 1, 3, 5, 13, 31, 49, 121, 231, 485,
    947, 127, 1817, 3005, 11085, 14157, 21145, 1, 1, 3, 1, 1, 23, 17, 195, 351,
    527, 1787, 3885, 2281, 729, 25083, 63523, 1, 3, 5, 15, 19, 31, 51, 5, 55,
    551, 33, 1735, 427, 2859, 3941, 48639, 1, 3, 7, 7, 11, 59, 101, 125, 167,
    311, 1487, 969, 5023, 3893, 22065, 48803, 1, 3, 3, 11, 27, 11, 77, 43, 295,
    31, 1061, 2999, 4451, 10339, 9213, 63705, 1, 3, 1, 11, 1, 63, 83, 179, 413,
    317, 1921, 2917, 6697, 6637, 5291, 48791, 1, 1, 3, 3, 19, 57, 55, 159, 137,
    291, 1353, 81, 2495, 12315, 31031, 41081, 1, 1, 3, 3, 25, 49, 49, 239, 53,
    999, 303, 3083, 2455, 3977, 13945, 22667, 1, 3, 5, 15, 7, 15, 85, 215, 463,
    301, 1061, 3993, 5927, 703, 23083, 44633, 1, 3, 3, 1, 9, 53, 21, 165, 129,
    697, 1867, 2427, 5383, 13223, 12127, 60477, 1, 3, 5, 5, 17, 13, 37, 151, 337,
    425, 829, 2415, 1705, 10389, 26299, 45655, 1, 3, 1, 9, 13, 3, 99, 111, 371,
    589, 605, 3137, 4515, 5303, 6151, 14225, 1, 1, 3, 11, 15, 59, 31, 95, 305,
    133, 751, 13, 7691, 2603, 21761, 18577, 1, 1, 1, 13, 25, 47, 93, 251, 341,
    465, 1043, 3391, 271, 3431, 16465, 53283, 1, 1, 5, 9, 31, 1, 31, 77, 383,
    151, 1243, 3165, 2363, 13751, 10251, 55111, 1, 1, 5, 13, 23, 35, 123, 229, 193,
    29, 201, 2661, 7539, 10407, 30831, 56091, 1, 1, 5, 15, 19, 17, 83, 157, 265,
    649, 815, 531, 3905, 10691, 4137, 29875, 1, 1, 3, 7, 29, 41, 29, 153, 509,
    617, 151, 2409, 4631, 6525, 8539, 20855, 1, 1, 1, 5, 27, 37, 55, 215, 135,
    463, 163, 1415, 1457, 2675, 9461, 6585, 1, 3, 5, 7, 23, 17, 29, 183, 33,
    593, 717, 1487, 4777, 6281, 3299, 37531, 1, 1, 5, 15, 15, 17, 91, 243, 259,
    655, 1347, 3229, 1449, 10069, 2671, 11391, 1, 1, 7, 15, 17, 35, 35, 105, 285,
    761, 1989, 3427, 3649, 223, 21887, 6153, 1, 3, 1, 5, 17, 55, 47, 235, 7,
    829, 1437, 1669, 2837, 6573, 3847, 32347, 1, 1, 5, 11, 5, 19, 41, 151, 59,
    427, 1917, 3339, 4139, 13781, 15171, 50597, 1, 3, 5, 1, 3, 47, 77, 175, 239,
    729, 1957, 2941, 4749, 15157, 30351, 57657, 1, 3, 5, 1, 23, 39, 51, 239, 455,
    347, 1673, 1355, 1707, 10125, 18923, 53953, 1, 3, 3, 11, 5, 21, 113, 161, 325,
    663, 9, 641, 4089, 7043, 9771, 16719, 1, 3, 7, 7, 1, 63, 3, 77, 67,
    575, 313, 1249, 1203, 8121, 13647, 563, 1, 3, 3, 15, 17, 61, 95, 75, 421,
    671, 835, 4015, 6591, 7589, 8039, 10055, 1, 1, 3, 3, 27, 43, 75, 121, 143,
    235, 1243, 2063, 7711, 7925, 2943, 23419, 1, 3, 5, 15, 1, 21, 41, 225, 427,
    843, 1417, 3481, 5239, 16373, 11599, 37267, 1, 1, 7, 15, 17, 23, 95, 185, 193,
    471, 1475, 861, 5115, 4573, 12909, 12337, 1, 3, 1, 7, 19, 25, 107, 171, 355,
    57, 1301, 2343, 6425, 5537, 29391, 27187, 1, 3, 5, 9, 19, 35, 67, 157, 183,
    477, 961, 1087, 7329, 15787, 9547, 59001, 1, 1, 3, 5, 29, 57, 29, 119, 315,
    533, 717, 1099, 713, 1473, 19511, 59777, 1, 3, 7, 7, 17, 63, 71, 181, 103,
    943, 305, 1657, 6117, 11921, 6119, 26437, 1, 3, 7, 9, 3, 61, 91, 65, 389,
    331, 549, 2355, 4591, 3385, 19913, 62541, 1, 1, 5, 1, 17, 1, 127, 127, 471,
    139, 1147, 1463, 5403, 10877, 11469, 65283, 1, 3, 1, 13, 27, 29, 31, 57, 433,
    941, 1559, 2495, 83, 14701, 20787, 10761, 1, 3, 3, 9, 23, 59, 23, 175, 25,
    865, 751, 3395, 4111, 10287, 28191, 38487, 1, 1, 3, 7, 21, 3, 107, 205, 349,
    473, 1115, 1647, 2379, 4709, 21697, 47899, 1, 3, 5, 15, 27, 49, 113, 73, 487,
    487, 1531, 357, 8073, 10275, 7713, 9169, 1, 3, 3, 13, 1, 55, 97, 19, 5,
    997, 1, 437, 343, 4867, 4897, 20291, 1, 3, 7, 5, 19, 51, 25, 3, 143,
    783, 1415, 2231, 1809, 2011, 32607, 33817, 1, 1, 5, 1, 3, 59, 49, 183, 447,
    55, 17, 1455, 3753, 13531, 17193, 22375, 1, 3, 7, 5, 21, 55, 25, 79, 161,
    763, 815, 2161, 1639, 7165, 15681, 53681, 1, 3, 7, 3, 15, 53, 75, 243, 49,
    701, 519, 1781, 8073, 16349, 487, 35051, 1, 3, 3, 15, 11, 33, 65, 93, 157,
    499, 1487, 627, 4483, 9001, 26869, 11713, 1, 1, 3, 9, 15, 43, 29, 159, 125,
    329, 1619, 41, 2565, 6043, 23983, 33397, 1, 1, 1, 9, 31, 25, 71, 53, 109,
    415, 1895, 309, 5121, 3659, 24591, 5207, 1, 3, 1, 5, 23, 33, 35, 95, 171,
    395, 171, 1085, 6629, 757, 29347, 22703, 1, 1, 7, 5, 17, 59, 35, 9, 141,
    311, 1075, 2499, 321, 14733, 4069, 46015, 1, 1, 1, 13, 5, 27, 93, 105, 205,
    875, 1867, 2423, 3015, 2939, 27529, 24221, 1, 1, 1, 15, 21, 51, 55, 239, 95,
    517, 1449, 537, 8083, 11519, 30293, 56663, 1, 3, 5, 7, 3, 1, 31, 77, 75,
    343, 423, 3781, 1171, 5331, 8885, 1917, 1, 3, 1, 13, 1, 45, 127, 123, 153,
    769, 1549, 3049, 4023, 10475, 3185, 7973, 1, 3, 5, 15, 17, 17, 63, 197, 483,
    253, 1655, 4053, 3753, 4159, 23551, 34501, 1, 3, 7, 7, 27, 35, 91, 241, 377,
    299, 1741, 2009, 4051, 3753, 18631, 56383, 1, 1, 3, 9, 11, 45, 101, 221, 167,
    845, 249, 2297, 967, 5203, 29305, 8875, 1, 3, 5, 9, 31, 41, 21, 251, 421,
    47, 421, 3037, 867, 12623, 23289, 39289, 1, 1, 7, 9, 31, 13, 99, 207, 181,
    683, 1881, 2047, 2299, 15795, 24597, 46881, 1, 1, 1, 15, 1, 45, 57, 171, 149,
    909, 1493, 181, 4539, 9625, 20357, 9291, 1, 3, 5, 15, 5, 19, 101, 167, 245,
    213, 1453, 1447, 19, 2091, 27345, 45839, 1, 1, 5, 5, 5, 61, 59, 159, 343,
    51, 2009, 3651, 5263, 1425, 4399, 34357, 1, 3, 1, 15, 15, 61, 49, 15, 415,
    365, 551, 797, 7147, 12771, 17557, 30663, 1, 3, 1, 7, 17, 15, 125, 195, 455,
    553, 1259, 1851, 5149, 6843, 29195, 15015, 1, 3, 7, 3, 23, 21, 5, 195, 77,
    881, 941, 2839, 2837, 10405, 22289, 6211, 1, 1, 1, 7, 11, 61, 99, 247, 251,
    183, 1263, 157, 511, 8627, 19503, 43933, 1, 3, 1, 9, 15, 15, 113, 255, 225,
    173, 1427, 3837, 6607, 3777, 4913, 11173, 1, 1, 1, 5, 17, 51, 65, 249, 361,
    377, 1597, 3065, 5949, 9363, 25597, 40657, 1, 1, 3, 13, 15, 41, 51, 75, 277,
    611, 517, 3751, 721, 6673, 32715, 29053, 1, 3, 3, 11, 31, 61, 97, 163, 79,
    267, 1601, 3155, 1623, 6301, 12897, 1555, 1, 1, 5, 1, 31, 33, 29, 239, 15,
    235, 1675, 1453, 1005, 4811, 21601, 34343, 1, 3, 7, 9, 13, 23, 43, 119, 313,
    249, 643, 3797, 5299, 5127, 5639, 8509, 1, 1, 7, 5, 11, 51, 85, 181, 231,
    641, 1285, 1417, 4535, 10417, 21261, 4965, 1, 3, 5, 1, 15, 47, 109, 197, 93,
    115, 47, 2315, 863, 2787, 25487, 4069, 1, 1, 7, 11, 13, 43, 117, 203, 189,
    151, 549, 1045, 7953, 11003, 17637, 3627, 1, 3, 5, 7, 7, 29, 5, 55, 281,
    767, 1809, 2489, 6417, 10927, 30935, 10769, 1, 3, 7, 1, 5, 21, 75, 247, 127,
    223, 103, 1737, 6577, 389, 26319, 20005, 1, 1, 1, 5, 15, 55, 33, 171, 115,
    535, 1523, 383, 2029, 16339, 12799, 46209, 1, 1, 5, 5, 21, 39, 9, 239, 221,
    497, 913, 2465, 561, 15701, 18851, 11207, 1, 3, 7, 3, 5, 33, 97, 227, 91,
    283, 1971, 3791, 2313, 9519, 11039, 46973, 1, 1, 7, 7, 1, 35, 1, 23, 391,
    365, 1099, 429, 5159, 409, 17641, 55545, 1, 3, 7, 9, 29, 11, 5, 63, 1,
    401, 265, 753, 6933, 899, 10407, 21391, 1, 1, 3, 5, 25, 7, 95, 251, 241,
    625, 661, 829, 1077, 2157, 27767, 32355, 1, 3, 7, 3, 21, 17, 63, 85, 83,
    507, 265, 1183, 6095, 343, 11011, 39071, 1, 3, 7, 11, 7, 23, 17, 67, 83,
    875, 1487, 2565, 6619, 8651, 31249, 28487, 1, 3, 3, 7, 9, 27, 63, 23, 107,
    103, 1059, 2029, 1417, 8883, 7003, 4729, 1, 1, 1, 11, 5, 53, 67, 41, 227,
    643, 1767, 615, 2165, 14475, 21143, 22079, 1, 1, 7, 7, 1, 19, 77, 211, 379,
    173, 1097, 3865, 3735, 10719, 9223, 209, 1, 1, 5, 7, 31, 53, 77, 73, 329,
    587, 1121, 2139, 7433, 9569, 20289, 47867, 1, 1, 3, 3, 7, 21, 19, 181, 209,
    603, 885, 2251, 1563, 6435, 9455, 1753, 1, 1, 5, 11, 5, 7, 67, 111, 355,
    457, 193, 1311, 5987, 5223, 13489, 49679, 1, 1, 3, 9, 23, 11, 21, 217, 361,
    803, 325, 2767, 3363, 9753, 26523, 20517, 1, 3, 5, 11, 27, 13, 71, 127, 249,
    49, 153, 4017, 289, 10705, 19671, 21929, 1, 1, 5, 5, 13, 51, 113, 109, 135,
    507, 719, 2011, 3803, 12049, 13629, 50781, 1, 3, 1, 9, 5, 33, 125, 223, 309,
    909, 1209, 3099, 3431, 853, 2553, 1845, 1, 3, 1, 5, 21, 61, 63, 21, 485,
    101, 1307, 3777, 6331, 3549, 20867, 41487, 1, 3, 7, 1, 1, 33, 115, 97, 445,
    521, 1801, 2869, 7893, 10229, 27265, 7749, 1, 1, 1, 15, 7, 25, 23, 87, 277,
    699, 783, 2891, 5033, 14031, 22947, 15921, 1, 3, 5, 11, 17, 1, 53, 195, 125,
    937, 739, 999, 1729, 14809, 16855, 16407, 1, 1, 7, 15, 11, 21, 13, 205, 367,
    167, 1967, 4003, 1145, 5679, 26437, 27597, 1, 1, 1, 15, 15, 45, 51, 23, 51,
    279, 1463, 1585, 5863, 6625, 32427, 33877, 1, 1, 1, 9, 9, 47, 83, 61, 493,
    399, 1055, 231, 671, 11643, 9151, 48169, 1, 3, 1, 13, 9, 43, 3, 119, 439,
    335, 1167, 249, 193, 4305, 8821, 49611, 1, 3, 5, 1, 19, 55, 43, 251, 17,
    865, 147, 507, 1315, 12029, 5077, 6003, 1, 3, 7, 7, 3, 23, 83, 7, 241,
    197, 139, 1325, 7777, 8425, 27451, 47015, 1, 1, 3, 3, 27, 29, 37, 31, 325,
    937, 59, 2615, 7331, 15635, 29159, 49697, 1, 3, 3, 5, 27, 47, 125, 165, 363,
    573, 189, 3249, 1471, 7869, 6169, 43525, 1, 1, 3, 13, 19, 33, 15, 123, 245,
    939, 209, 853, 6485, 5059, 21891, 7115, 1, 3, 7, 1, 23, 59, 91, 197, 79,
    381, 151, 3533, 7553, 511, 3381, 29339, 1, 3, 5, 3, 21, 61, 73, 57, 317,
    77, 2027, 1055, 3599, 15157, 17017, 23563, 1, 1, 7, 1, 15, 43, 97, 205, 421,
    901, 1589, 2051, 5737, 13231, 15325, 54725, 1, 1, 5, 5, 31, 33, 93, 129, 385,
    961, 733, 277, 3555, 5619, 16499, 57747, 1, 3, 1, 5, 17, 3, 65, 167, 237,
    785, 771, 4033, 6053, 343, 9499, 55861, 1, 3, 3, 3, 19, 57, 23, 119, 75,
    435, 1023, 2357, 4671, 14581, 15343, 2383,
];